futhark-0.22.2: src/Futhark/IR/Prop/Aliases.hs
{-# LANGUAGE TypeFamilies #-}
-- | The IR tracks aliases, mostly to ensure the soundness of in-place
-- updates, but it can also be used for other things (such as memory
-- optimisations). This module contains the raw building blocks for
-- determining the aliases of the values produced by expressions. It
-- also contains some building blocks for inspecting consumption.
--
-- One important caveat is that all aliases computed here are /local/.
-- Thus, they do not take aliases-of-aliases into account. See
-- "Futhark.Analysis.Alias" if this is not what you want.
module Futhark.IR.Prop.Aliases
( subExpAliases,
expAliases,
patAliases,
lookupAliases,
Aliased (..),
AliasesOf (..),
-- * Consumption
consumedInStm,
consumedInExp,
consumedByLambda,
-- * Extensibility
AliasTable,
AliasedOp (..),
CanBeAliased (..),
)
where
import Data.Bifunctor (first, second)
import Data.Kind qualified
import Data.List (find, transpose)
import Data.Map qualified as M
import Futhark.IR.Prop (IsOp, NameInfo (..), Scope)
import Futhark.IR.Prop.Names
import Futhark.IR.Prop.Patterns
import Futhark.IR.Prop.Types
import Futhark.IR.Syntax
-- | The class of representations that contain aliasing information.
class (RepTypes rep, AliasedOp (Op rep), AliasesOf (LetDec rep)) => Aliased rep where
-- | The aliases of the body results.
bodyAliases :: Body rep -> [Names]
-- | The variables consumed in the body.
consumedInBody :: Body rep -> Names
vnameAliases :: VName -> Names
vnameAliases = oneName
-- | The aliases of a subexpression.
subExpAliases :: SubExp -> Names
subExpAliases Constant {} = mempty
subExpAliases (Var v) = vnameAliases v
basicOpAliases :: BasicOp -> [Names]
basicOpAliases (SubExp se) = [subExpAliases se]
basicOpAliases (Opaque _ se) = [subExpAliases se]
basicOpAliases (ArrayLit _ _) = [mempty]
basicOpAliases BinOp {} = [mempty]
basicOpAliases ConvOp {} = [mempty]
basicOpAliases CmpOp {} = [mempty]
basicOpAliases UnOp {} = [mempty]
basicOpAliases (Index ident _) = [vnameAliases ident]
basicOpAliases Update {} = [mempty]
basicOpAliases (FlatIndex ident _) = [vnameAliases ident]
basicOpAliases FlatUpdate {} = [mempty]
basicOpAliases Iota {} = [mempty]
basicOpAliases Replicate {} = [mempty]
basicOpAliases Scratch {} = [mempty]
basicOpAliases (Reshape _ _ e) = [vnameAliases e]
basicOpAliases (Rearrange _ e) = [vnameAliases e]
basicOpAliases (Rotate _ e) = [vnameAliases e]
basicOpAliases Concat {} = [mempty]
basicOpAliases Copy {} = [mempty]
basicOpAliases Manifest {} = [mempty]
basicOpAliases Assert {} = [mempty]
basicOpAliases UpdateAcc {} = [mempty]
matchAliases :: [([Names], Names)] -> [Names]
matchAliases l =
map ((`namesSubtract` mconcat conses) . mconcat) $ transpose alses
where
(alses, conses) = unzip l
funcallAliases :: [(SubExp, Diet)] -> [TypeBase shape Uniqueness] -> [Names]
funcallAliases args t =
returnAliases t [(subExpAliases se, d) | (se, d) <- args]
-- | The aliases of an expression, one per non-context value returned.
expAliases :: (Aliased rep) => Exp rep -> [Names]
expAliases (Match _ cases defbody _) =
matchAliases $ onBody defbody : map (onBody . caseBody) cases
where
onBody body = (bodyAliases body, consumedInBody body)
expAliases (BasicOp op) = basicOpAliases op
expAliases (DoLoop merge _ loopbody) = do
(p, als) <-
transitive . zip params $ zipWith mappend arg_aliases (bodyAliases loopbody)
let als' = als `namesSubtract` param_names
if unique $ paramDeclType p
then pure mempty
else pure als'
where
arg_aliases = map (subExpAliases . snd) merge
params = map fst merge
param_names = namesFromList $ map paramName params
transitive merge_and_als =
let merge_and_als' = map (second expand) merge_and_als
in if merge_and_als' == merge_and_als
then merge_and_als
else transitive merge_and_als'
where
look v = maybe mempty snd $ find ((== v) . paramName . fst) merge_and_als
expand als = als <> foldMap look (namesToList als)
expAliases (Apply _ args t _) =
funcallAliases args $ map declExtTypeOf t
expAliases (WithAcc inputs lam) =
concatMap inputAliases inputs ++ drop num_accs (bodyAliases (lambdaBody lam))
where
inputAliases (_, arrs, _) = replicate (length arrs) mempty
num_accs = length inputs
expAliases (Op op) = opAliases op
returnAliases :: [TypeBase shape Uniqueness] -> [(Names, Diet)] -> [Names]
returnAliases rts args = map returnType' rts
where
returnType' (Array _ _ Nonunique) =
mconcat $ map (uncurry maskAliases) args
returnType' (Array _ _ Unique) =
mempty
returnType' (Prim _) =
mempty
returnType' Acc {} =
error "returnAliases Acc"
returnType' Mem {} =
mconcat $ map (uncurry maskAliases) args
maskAliases :: Names -> Diet -> Names
maskAliases _ Consume = mempty
maskAliases _ ObservePrim = mempty
maskAliases als Observe = als
-- | The variables consumed in this statement.
consumedInStm :: Aliased rep => Stm rep -> Names
consumedInStm = consumedInExp . stmExp
-- | The variables consumed in this expression.
consumedInExp :: (Aliased rep) => Exp rep -> Names
consumedInExp (Apply _ args _ _) =
mconcat (map (consumeArg . first subExpAliases) args)
where
consumeArg (als, Consume) = als
consumeArg _ = mempty
consumedInExp (Match _ cases defbody _) =
foldMap (consumedInBody . caseBody) cases <> consumedInBody defbody
consumedInExp (DoLoop merge form body) =
mconcat
( map (subExpAliases . snd) $
filter (unique . paramDeclType . fst) merge
)
<> consumedInForm form
where
body_consumed = consumedInBody body
varConsumed = (`nameIn` body_consumed) . paramName . fst
consumedInForm (ForLoop _ _ _ loopvars) =
namesFromList $ map snd $ filter varConsumed loopvars
consumedInForm WhileLoop {} =
mempty
consumedInExp (WithAcc inputs lam) =
mconcat (map inputConsumed inputs)
<> ( consumedByLambda lam
`namesSubtract` namesFromList (map paramName (lambdaParams lam))
)
where
inputConsumed (_, arrs, _) = namesFromList arrs
consumedInExp (BasicOp (Update _ src _ _)) = oneName src
consumedInExp (BasicOp (FlatUpdate src _ _)) = oneName src
consumedInExp (BasicOp (UpdateAcc acc _ _)) = oneName acc
consumedInExp (BasicOp _) = mempty
consumedInExp (Op op) = consumedInOp op
-- | The variables consumed by this lambda.
consumedByLambda :: Aliased rep => Lambda rep -> Names
consumedByLambda = consumedInBody . lambdaBody
-- | The aliases of each pattern element (including the context).
patAliases :: AliasesOf dec => Pat dec -> [Names]
patAliases = map (aliasesOf . patElemDec) . patElems
-- | Something that contains alias information.
class AliasesOf a where
-- | The alias of the argument element.
aliasesOf :: a -> Names
instance AliasesOf Names where
aliasesOf = id
instance AliasesOf dec => AliasesOf (PatElem dec) where
aliasesOf = aliasesOf . patElemDec
-- | Also includes the name itself.
lookupAliases :: AliasesOf (LetDec rep) => VName -> Scope rep -> Names
lookupAliases v scope =
case M.lookup v scope of
Just (LetName dec) ->
oneName v <> foldMap (`lookupAliases` scope) (namesToList (aliasesOf dec))
_ -> oneName v
-- | The class of operations that can produce aliasing and consumption
-- information.
class IsOp op => AliasedOp op where
opAliases :: op -> [Names]
consumedInOp :: op -> Names
instance AliasedOp () where
opAliases () = []
consumedInOp () = mempty
-- | Pre-existing aliases for variables. Used to add transitive
-- aliases.
type AliasTable = M.Map VName Names
-- | The class of operations that can be given aliasing information.
-- This is a somewhat subtle concept that is only used in the
-- simplifier and when using "rep adapters".
class AliasedOp (OpWithAliases op) => CanBeAliased op where
-- | The op that results when we add aliases to this op.
type OpWithAliases op :: Data.Kind.Type
-- | Remove aliases from this op.
removeOpAliases :: OpWithAliases op -> op
-- | Add aliases to this op.
addOpAliases :: AliasTable -> op -> OpWithAliases op
instance CanBeAliased () where
type OpWithAliases () = ()
removeOpAliases = id
addOpAliases = const id