packages feed

futhark-0.22.5: src/Futhark/CodeGen/ImpGen/Multicore/SegScan.hs

module Futhark.CodeGen.ImpGen.Multicore.SegScan
  ( compileSegScan,
  )
where

import Control.Monad
import Data.List (zip4)
import Futhark.CodeGen.ImpCode.Multicore qualified as Imp
import Futhark.CodeGen.ImpGen
import Futhark.CodeGen.ImpGen.Multicore.Base
import Futhark.IR.MCMem
import Futhark.Util.IntegralExp (quot, rem)
import Prelude hiding (quot, rem)

-- Compile a SegScan construct
compileSegScan ::
  Pat LetDecMem ->
  SegSpace ->
  [SegBinOp MCMem] ->
  KernelBody MCMem ->
  TV Int32 ->
  MulticoreGen Imp.MCCode
compileSegScan pat space reds kbody nsubtasks
  | [_] <- unSegSpace space =
      nonsegmentedScan pat space reds kbody nsubtasks
  | otherwise =
      segmentedScan pat space reds kbody

xParams, yParams :: SegBinOp MCMem -> [LParam MCMem]
xParams scan =
  take (length (segBinOpNeutral scan)) (lambdaParams (segBinOpLambda scan))
yParams scan =
  drop (length (segBinOpNeutral scan)) (lambdaParams (segBinOpLambda scan))

lamBody :: SegBinOp MCMem -> Body MCMem
lamBody = lambdaBody . segBinOpLambda

-- Arrays for storing worker results.
carryArrays :: String -> TV Int32 -> [SegBinOp MCMem] -> MulticoreGen [[VName]]
carryArrays s nsubtasks segops =
  forM segops $ \(SegBinOp _ lam _ shape) ->
    forM (lambdaReturnType lam) $ \t -> do
      let pt = elemType t
          full_shape =
            Shape [Var (tvVar nsubtasks)]
              <> shape
              <> arrayShape t
      sAllocArray s pt full_shape DefaultSpace

nonsegmentedScan ::
  Pat LetDecMem ->
  SegSpace ->
  [SegBinOp MCMem] ->
  KernelBody MCMem ->
  TV Int32 ->
  MulticoreGen Imp.MCCode
nonsegmentedScan pat space scan_ops kbody nsubtasks = do
  emit $ Imp.DebugPrint "nonsegmented segScan" Nothing
  collect $ do
    -- Are we working with nested arrays
    let dims = map (shapeDims . segBinOpShape) scan_ops
    -- Are we only working on scalars
    let scalars = all (all (primType . typeOf . paramDec) . (lambdaParams . segBinOpLambda)) scan_ops && all null dims
    -- Do we have nested vector operations
    let vectorize = [] `notElem` dims

    let param_types = concatMap (map paramType . (lambdaParams . segBinOpLambda)) scan_ops
    let no_array_param = all primType param_types

    let (scanStage1, scanStage3)
          | scalars = (scanStage1Scalar, scanStage3Scalar)
          | vectorize && no_array_param = (scanStage1Nested, scanStage3Nested)
          | otherwise = (scanStage1Fallback, scanStage3Fallback)

    emit $ Imp.DebugPrint "Scan stage 1" Nothing
    scanStage1 pat space kbody scan_ops

    let nsubtasks' = tvExp nsubtasks
    sWhen (nsubtasks' .>. 1) $ do
      scan_ops2 <- renameSegBinOp scan_ops
      emit $ Imp.DebugPrint "Scan stage 2" Nothing
      carries <- scanStage2 pat nsubtasks space scan_ops2
      scan_ops3 <- renameSegBinOp scan_ops
      emit $ Imp.DebugPrint "Scan stage 3" Nothing
      scanStage3 pat space scan_ops3 carries

-- Different ways to generate code for a scan loop
data ScanLoopType
  = ScanSeq -- Fully sequential
  | ScanNested -- Nested vectorized map
  | ScanScalar -- Vectorized scan over scalars

-- Given a scan type, return a function to inject into the loop body
getScanLoop ::
  ScanLoopType ->
  (Imp.TExp Int64 -> MulticoreGen ()) ->
  MulticoreGen ()
getScanLoop ScanScalar = generateUniformizeLoop
getScanLoop _ = \body -> body 0

-- Given a scan type, return a function to extract a scalar from a vector
getExtract :: ScanLoopType -> Imp.TExp Int64 -> MulticoreGen Imp.MCCode -> MulticoreGen ()
getExtract ScanSeq = \_ body -> body >>= emit
getExtract _ = extractVectorLane

genBinOpParams :: [SegBinOp MCMem] -> MulticoreGen ()
genBinOpParams scan_ops =
  dScope Nothing $
    scopeOfLParams $
      concatMap (lambdaParams . segBinOpLambda) scan_ops

genLocalAccsStage1 :: [SegBinOp MCMem] -> MulticoreGen [[VName]]
genLocalAccsStage1 scan_ops = do
  forM scan_ops $ \scan_op -> do
    let shape = segBinOpShape scan_op
        ts = lambdaReturnType $ segBinOpLambda scan_op
    forM (zip3 (xParams scan_op) (segBinOpNeutral scan_op) ts) $ \(p, ne, t) -> do
      acc <- -- update accumulator to have type decoration
        case shapeDims shape of
          [] -> pure $ paramName p
          _ -> do
            let pt = elemType t
            sAllocArray "local_acc" pt (shape <> arrayShape t) DefaultSpace

      -- Now neutral-initialise the accumulator.
      sLoopNest (segBinOpShape scan_op) $ \vec_is ->
        copyDWIMFix acc vec_is ne []

      pure acc

getNestLoop ::
  ScanLoopType ->
  Shape ->
  ([Imp.TExp Int64] -> MulticoreGen ()) ->
  MulticoreGen ()
getNestLoop ScanNested = sLoopNestVectorized
getNestLoop _ = sLoopNest

applyScanOps ::
  ScanLoopType ->
  Pat LetDecMem ->
  SegSpace ->
  [SubExp] ->
  [SegBinOp MCMem] ->
  [[VName]] ->
  ImpM MCMem HostEnv Imp.Multicore ()
applyScanOps typ pat space all_scan_res scan_ops local_accs = do
  let per_scan_res = segBinOpChunks scan_ops all_scan_res
      per_scan_pes = segBinOpChunks scan_ops $ patElems pat
  let (is, _) = unzip $ unSegSpace space

  -- Potential vector load and then do sequential scan
  getScanLoop typ $ \j ->
    forM_ (zip4 per_scan_pes scan_ops per_scan_res local_accs) $ \(pes, scan_op, scan_res, acc) ->
      getNestLoop typ (segBinOpShape scan_op) $ \vec_is -> do
        sComment "Read accumulator" $
          forM_ (zip (xParams scan_op) acc) $ \(p, acc') -> do
            copyDWIMFix (paramName p) [] (Var acc') vec_is
        sComment "Read next values" $
          forM_ (zip (yParams scan_op) scan_res) $ \(p, se) ->
            getExtract typ j $
              collect $
                copyDWIMFix (paramName p) [] se vec_is
        -- Scan body
        sComment "Scan op body" $
          compileStms mempty (bodyStms $ lamBody scan_op) $
            forM_ (zip3 acc pes $ map resSubExp $ bodyResult $ lamBody scan_op) $
              \(acc', pe, se) -> do
                copyDWIMFix (patElemName pe) (map Imp.le64 is ++ vec_is) se []
                copyDWIMFix acc' vec_is se []

-- Generate a loop which performs a potentially vectorized scan on the
-- result of a kernel body.
genScanLoop ::
  ScanLoopType ->
  Pat LetDecMem ->
  SegSpace ->
  KernelBody MCMem ->
  [SegBinOp MCMem] ->
  [[VName]] ->
  Imp.TExp Int64 ->
  ImpM MCMem HostEnv Imp.Multicore ()
genScanLoop typ pat space kbody scan_ops local_accs i = do
  let (all_scan_res, map_res) =
        splitAt (segBinOpResults scan_ops) $ kernelBodyResult kbody
  let (is, ns) = unzip $ unSegSpace space
      ns' = map pe64 ns

  zipWithM_ dPrimV_ is $ unflattenIndex ns' i
  compileStms mempty (kernelBodyStms kbody) $ do
    let map_arrs = drop (segBinOpResults scan_ops) $ patElems pat
    sComment "write mapped values results to memory" $
      zipWithM_ (compileThreadResult space) map_arrs map_res
    sComment "Apply scan op" $
      applyScanOps typ pat space (map kernelResultSubExp all_scan_res) scan_ops local_accs

scanStage1Scalar ::
  Pat LetDecMem ->
  SegSpace ->
  KernelBody MCMem ->
  [SegBinOp MCMem] ->
  MulticoreGen ()
scanStage1Scalar pat space kbody scan_ops = do
  fbody <- collect $ do
    dPrim_ (segFlat space) int64
    sOp $ Imp.GetTaskId (segFlat space)

    genBinOpParams scan_ops
    local_accs <- genLocalAccsStage1 scan_ops
    inISPC $
      generateChunkLoop "SegScan" Vectorized $
        genScanLoop ScanScalar pat space kbody scan_ops local_accs
  free_params <- freeParams fbody
  emit $ Imp.Op $ Imp.ParLoop "scan_stage_1" fbody free_params

scanStage1Nested ::
  Pat LetDecMem ->
  SegSpace ->
  KernelBody MCMem ->
  [SegBinOp MCMem] ->
  MulticoreGen ()
scanStage1Nested pat space kbody scan_ops = do
  fbody <- collect $ do
    dPrim_ (segFlat space) int64
    sOp $ Imp.GetTaskId (segFlat space)

    local_accs <- genLocalAccsStage1 scan_ops

    inISPC $ do
      genBinOpParams scan_ops
      generateChunkLoop "SegScan" Scalar $ \i -> do
        genScanLoop ScanNested pat space kbody scan_ops local_accs i

  free_params <- freeParams fbody
  emit $ Imp.Op $ Imp.ParLoop "scan_stage_1" fbody free_params

scanStage1Fallback ::
  Pat LetDecMem ->
  SegSpace ->
  KernelBody MCMem ->
  [SegBinOp MCMem] ->
  MulticoreGen ()
scanStage1Fallback pat space kbody scan_ops = do
  -- Stage 1 : each thread partially scans a chunk of the input
  -- Writes directly to the resulting array
  fbody <- collect $ do
    dPrim_ (segFlat space) int64
    sOp $ Imp.GetTaskId (segFlat space)

    genBinOpParams scan_ops
    local_accs <- genLocalAccsStage1 scan_ops

    generateChunkLoop "SegScan" Scalar $
      genScanLoop ScanSeq pat space kbody scan_ops local_accs
  free_params <- freeParams fbody
  emit $ Imp.Op $ Imp.ParLoop "scan_stage_1" fbody free_params

scanStage2 ::
  Pat LetDecMem ->
  TV Int32 ->
  SegSpace ->
  [SegBinOp MCMem] ->
  MulticoreGen [[VName]]
scanStage2 pat nsubtasks space scan_ops = do
  let (is, ns) = unzip $ unSegSpace space
      ns_64 = map pe64 ns
      per_scan_pes = segBinOpChunks scan_ops $ patElems pat
      nsubtasks' = sExt64 $ tvExp nsubtasks

  dScope Nothing $ scopeOfLParams $ concatMap (lambdaParams . segBinOpLambda) scan_ops
  offset <- dPrimV "offset" (0 :: Imp.TExp Int64)
  let offset' = tvExp offset
  offset_index <- dPrimV "offset_index" (0 :: Imp.TExp Int64)
  let offset_index' = tvExp offset_index

  -- Parameters used to find the chunk sizes
  -- Perhaps get this information from ``scheduling information``
  -- instead of computing it manually here.
  let iter_pr_subtask = product ns_64 `quot` nsubtasks'
      remainder = product ns_64 `rem` nsubtasks'

  carries <- carryArrays "scan_stage_2_carry" nsubtasks scan_ops
  sComment "carry-in for first chunk is neutral" $
    forM_ (zip scan_ops carries) $ \(scan_op, carry) ->
      sLoopNest (segBinOpShape scan_op) $ \vec_is ->
        forM_ (zip carry $ segBinOpNeutral scan_op) $ \(carry', ne) ->
          copyDWIMFix carry' (0 : vec_is) ne []

  -- Perform sequential scan over the last element of each chunk
  sComment "scan carries" $ sFor "i" (nsubtasks' - 1) $ \i -> do
    offset <-- iter_pr_subtask
    sWhen (sExt64 i .<. remainder) (offset <-- offset' + 1)
    offset_index <-- offset_index' + offset'
    zipWithM_ dPrimV_ is $ unflattenIndex ns_64 $ sExt64 offset_index'

    forM_ (zip3 per_scan_pes scan_ops carries) $ \(pes, scan_op, carry) ->
      sLoopNest (segBinOpShape scan_op) $ \vec_is -> do
        sComment "Read carry" $
          forM_ (zip (xParams scan_op) carry) $ \(p, carry') ->
            copyDWIMFix (paramName p) [] (Var carry') (i : vec_is)

        sComment "Read next values" $
          forM_ (zip (yParams scan_op) pes) $ \(p, pe) ->
            copyDWIMFix (paramName p) [] (Var $ patElemName pe) ((offset_index' - 1) : vec_is)

        compileStms mempty (bodyStms $ lamBody scan_op) $
          forM_ (zip carry $ map resSubExp $ bodyResult $ lamBody scan_op) $ \(carry', se) -> do
            copyDWIMFix carry' ((i + 1) : vec_is) se []

  -- Return the array of carries for each chunk.
  pure carries

scanStage3Scalar ::
  Pat LetDecMem ->
  SegSpace ->
  [SegBinOp MCMem] ->
  [[VName]] ->
  MulticoreGen ()
scanStage3Scalar pat space scan_ops per_scan_carries = do
  let per_scan_pes = segBinOpChunks scan_ops $ patElems pat
      (is, ns) = unzip $ unSegSpace space
      ns' = map pe64 ns

  body <- collect $ do
    dPrim_ (segFlat space) int64
    sOp $ Imp.GetTaskId $ segFlat space

    inISPC $ do
      genBinOpParams scan_ops
      sComment "load carry-in" $
        forM_ (zip per_scan_carries scan_ops) $ \(op_carries, scan_op) ->
          forM_ (zip (xParams scan_op) op_carries) $ \(p, carries) ->
            copyDWIMFix (paramName p) [] (Var carries) [le64 (segFlat space)]
      generateChunkLoop "SegScan" Vectorized $ \i -> do
        zipWithM_ dPrimV_ is $ unflattenIndex ns' i
        sComment "load partial result" $
          forM_ (zip per_scan_pes scan_ops) $ \(scan_pes, scan_op) ->
            forM_ (zip (yParams scan_op) scan_pes) $ \(p, pe) ->
              copyDWIMFix (paramName p) [] (Var (patElemName pe)) (map le64 is)
        sComment "combine carry with partial result" $
          forM_ (zip per_scan_pes scan_ops) $ \(scan_pes, scan_op) ->
            compileStms mempty (bodyStms $ lamBody scan_op) $
              forM_ (zip scan_pes $ map resSubExp $ bodyResult $ lamBody scan_op) $ \(pe, se) ->
                copyDWIMFix (patElemName pe) (map Imp.le64 is) se []

  free_params <- freeParams body
  emit $ Imp.Op $ Imp.ParLoop "scan_stage_3" body free_params

scanStage3Nested ::
  Pat LetDecMem ->
  SegSpace ->
  [SegBinOp MCMem] ->
  [[VName]] ->
  MulticoreGen ()
scanStage3Nested pat space scan_ops per_scan_carries = do
  let per_scan_pes = segBinOpChunks scan_ops $ patElems pat
      (is, ns) = unzip $ unSegSpace space
      ns' = map pe64 ns
  body <- collect $ do
    dPrim_ (segFlat space) int64
    sOp $ Imp.GetTaskId (segFlat space)

    generateChunkLoop "SegScan" Scalar $ \i -> do
      genBinOpParams scan_ops
      zipWithM_ dPrimV_ is $ unflattenIndex ns' i
      forM_ (zip3 per_scan_pes per_scan_carries scan_ops) $ \(scan_pes, op_carries, scan_op) -> do
        sLoopNest (segBinOpShape scan_op) $ \vec_is -> do
          sComment "load carry-in" $
            forM_ (zip (xParams scan_op) op_carries) $ \(p, carries) ->
              copyDWIMFix (paramName p) [] (Var carries) (le64 (segFlat space) : vec_is)

          sComment "load partial result" $
            forM_ (zip (yParams scan_op) scan_pes) $ \(p, pe) ->
              copyDWIMFix (paramName p) [] (Var (patElemName pe)) (map le64 is ++ vec_is)
          sComment "combine carry with partial result" $
            compileStms mempty (bodyStms $ lamBody scan_op) $
              forM_ (zip scan_pes $ map resSubExp $ bodyResult $ lamBody scan_op) $ \(pe, se) ->
                copyDWIMFix (patElemName pe) (map Imp.le64 is ++ vec_is) se []

  free_params <- freeParams body
  emit $ Imp.Op $ Imp.ParLoop "scan_stage_3" body free_params

scanStage3Fallback ::
  Pat LetDecMem ->
  SegSpace ->
  [SegBinOp MCMem] ->
  [[VName]] ->
  MulticoreGen ()
scanStage3Fallback pat space scan_ops per_scan_carries = do
  let per_scan_pes = segBinOpChunks scan_ops $ patElems pat
      (is, ns) = unzip $ unSegSpace space
      ns' = map pe64 ns
  body <- collect $ do
    dPrim_ (segFlat space) int64
    sOp $ Imp.GetTaskId (segFlat space)

    genBinOpParams scan_ops

    generateChunkLoop "SegScan" Scalar $ \i -> do
      zipWithM_ dPrimV_ is $ unflattenIndex ns' i
      forM_ (zip3 per_scan_pes per_scan_carries scan_ops) $ \(scan_pes, op_carries, scan_op) -> do
        sLoopNest (segBinOpShape scan_op) $ \vec_is -> do
          sComment "load carry-in" $
            forM_ (zip (xParams scan_op) op_carries) $ \(p, carries) ->
              copyDWIMFix (paramName p) [] (Var carries) (le64 (segFlat space) : vec_is)

          sComment "load partial result" $
            forM_ (zip (yParams scan_op) scan_pes) $ \(p, pe) ->
              copyDWIMFix (paramName p) [] (Var (patElemName pe)) (map le64 is ++ vec_is)
          sComment "combine carry with partial result" $
            compileStms mempty (bodyStms $ lamBody scan_op) $
              forM_ (zip scan_pes $ map resSubExp $ bodyResult $ lamBody scan_op) $ \(pe, se) ->
                copyDWIMFix (patElemName pe) (map Imp.le64 is ++ vec_is) se []
  free_params <- freeParams body
  emit $ Imp.Op $ Imp.ParLoop "scan_stage_3" body free_params

-- Note: This isn't currently used anywhere.
-- This implementation for a Segmented scan only
-- parallelize over the segments and each segment is
-- scanned sequentially.
segmentedScan ::
  Pat LetDecMem ->
  SegSpace ->
  [SegBinOp MCMem] ->
  KernelBody MCMem ->
  MulticoreGen Imp.MCCode
segmentedScan pat space scan_ops kbody = do
  emit $ Imp.DebugPrint "segmented segScan" Nothing
  collect $ do
    body <- compileSegScanBody pat space scan_ops kbody
    free_params <- freeParams body
    emit $ Imp.Op $ Imp.ParLoop "seg_scan" body free_params

compileSegScanBody ::
  Pat LetDecMem ->
  SegSpace ->
  [SegBinOp MCMem] ->
  KernelBody MCMem ->
  MulticoreGen Imp.MCCode
compileSegScanBody pat space scan_ops kbody = collect $ do
  let (is, ns) = unzip $ unSegSpace space
      ns_64 = map pe64 ns

  dPrim_ (segFlat space) int64
  sOp $ Imp.GetTaskId (segFlat space)

  let per_scan_pes = segBinOpChunks scan_ops $ patElems pat
  generateChunkLoop "SegScan" Scalar $ \segment_i -> do
    forM_ (zip scan_ops per_scan_pes) $ \(scan_op, scan_pes) -> do
      dScope Nothing $ scopeOfLParams $ lambdaParams $ segBinOpLambda scan_op
      let (scan_x_params, scan_y_params) = splitAt (length $ segBinOpNeutral scan_op) $ (lambdaParams . segBinOpLambda) scan_op

      forM_ (zip scan_x_params $ segBinOpNeutral scan_op) $ \(p, ne) ->
        copyDWIMFix (paramName p) [] ne []

      let inner_bound = last ns_64
      -- Perform a sequential scan over the segment ``segment_i``
      sFor "i" inner_bound $ \i -> do
        zipWithM_ dPrimV_ (init is) $ unflattenIndex (init ns_64) segment_i
        dPrimV_ (last is) i
        compileStms mempty (kernelBodyStms kbody) $ do
          let (scan_res, map_res) = splitAt (length $ segBinOpNeutral scan_op) $ kernelBodyResult kbody
          sComment "write to-scan values to parameters" $
            forM_ (zip scan_y_params scan_res) $ \(p, se) ->
              copyDWIMFix (paramName p) [] (kernelResultSubExp se) []

          sComment "write mapped values results to memory" $
            forM_ (zip (drop (length $ segBinOpNeutral scan_op) $ patElems pat) map_res) $ \(pe, se) ->
              copyDWIMFix (patElemName pe) (map Imp.le64 is) (kernelResultSubExp se) []

          sComment "combine with carry and write to memory" $
            compileStms mempty (bodyStms $ lambdaBody $ segBinOpLambda scan_op) $
              forM_ (zip3 scan_x_params scan_pes $ map resSubExp $ bodyResult $ lambdaBody $ segBinOpLambda scan_op) $ \(p, pe, se) -> do
                copyDWIMFix (patElemName pe) (map Imp.le64 is) se []
                copyDWIMFix (paramName p) [] se []