{-# LANGUAGE Strict #-}

-- | A usage-table is sort of a bottom-up symbol table, describing how
-- (and if) a variable is used.
module Futhark.Analysis.UsageTable
  ( UsageTable,
    without,
    lookup,
    used,
    expand,
    isConsumed,
    isInResult,
    isUsedDirectly,
    isSize,
    usages,
    usage,
    consumedUsage,
    inResultUsage,
    sizeUsage,
    sizeUsages,
    Usages,
    usageInStm,
  )
where

import Data.Bits
import qualified Data.Foldable as Foldable
import qualified Data.IntMap.Strict as IM
import Data.List (foldl')
import Futhark.IR
import Futhark.IR.Prop.Aliases
import Prelude hiding (lookup)

-- | A usage table.
newtype UsageTable = UsageTable (IM.IntMap Usages)
  deriving (UsageTable -> UsageTable -> Bool
(UsageTable -> UsageTable -> Bool)
-> (UsageTable -> UsageTable -> Bool) -> Eq UsageTable
forall a. (a -> a -> Bool) -> (a -> a -> Bool) -> Eq a
/= :: UsageTable -> UsageTable -> Bool
$c/= :: UsageTable -> UsageTable -> Bool
== :: UsageTable -> UsageTable -> Bool
$c== :: UsageTable -> UsageTable -> Bool
Eq, Int -> UsageTable -> ShowS
[UsageTable] -> ShowS
UsageTable -> String
(Int -> UsageTable -> ShowS)
-> (UsageTable -> String)
-> ([UsageTable] -> ShowS)
-> Show UsageTable
forall a.
(Int -> a -> ShowS) -> (a -> String) -> ([a] -> ShowS) -> Show a
showList :: [UsageTable] -> ShowS
$cshowList :: [UsageTable] -> ShowS
show :: UsageTable -> String
$cshow :: UsageTable -> String
showsPrec :: Int -> UsageTable -> ShowS
$cshowsPrec :: Int -> UsageTable -> ShowS
Show)

instance Semigroup UsageTable where
  UsageTable IntMap Usages
table1 <> :: UsageTable -> UsageTable -> UsageTable
<> UsageTable IntMap Usages
table2 =
    IntMap Usages -> UsageTable
UsageTable (IntMap Usages -> UsageTable) -> IntMap Usages -> UsageTable
forall a b. (a -> b) -> a -> b
$ (Usages -> Usages -> Usages)
-> IntMap Usages -> IntMap Usages -> IntMap Usages
forall a. (a -> a -> a) -> IntMap a -> IntMap a -> IntMap a
IM.unionWith Usages -> Usages -> Usages
forall a. Semigroup a => a -> a -> a
(<>) IntMap Usages
table1 IntMap Usages
table2

instance Monoid UsageTable where
  mempty :: UsageTable
mempty = IntMap Usages -> UsageTable
UsageTable IntMap Usages
forall a. Monoid a => a
mempty

-- | Remove these entries from the usage table.
without :: UsageTable -> [VName] -> UsageTable
without :: UsageTable -> [VName] -> UsageTable
without (UsageTable IntMap Usages
table) =
  IntMap Usages -> UsageTable
UsageTable (IntMap Usages -> UsageTable)
-> ([VName] -> IntMap Usages) -> [VName] -> UsageTable
forall b c a. (b -> c) -> (a -> b) -> a -> c
. (IntMap Usages -> Int -> IntMap Usages)
-> IntMap Usages -> [Int] -> IntMap Usages
forall (t :: * -> *) b a.
Foldable t =>
(b -> a -> b) -> b -> t a -> b
Foldable.foldl ((Int -> IntMap Usages -> IntMap Usages)
-> IntMap Usages -> Int -> IntMap Usages
forall a b c. (a -> b -> c) -> b -> a -> c
flip Int -> IntMap Usages -> IntMap Usages
forall a. Int -> IntMap a -> IntMap a
IM.delete) IntMap Usages
table ([Int] -> IntMap Usages)
-> ([VName] -> [Int]) -> [VName] -> IntMap Usages
forall b c a. (b -> c) -> (a -> b) -> a -> c
. (VName -> Int) -> [VName] -> [Int]
forall a b. (a -> b) -> [a] -> [b]
map VName -> Int
baseTag

-- | Look up a variable in the usage table.
lookup :: VName -> UsageTable -> Maybe Usages
lookup :: VName -> UsageTable -> Maybe Usages
lookup VName
name (UsageTable IntMap Usages
table) = Int -> IntMap Usages -> Maybe Usages
forall a. Int -> IntMap a -> Maybe a
IM.lookup (VName -> Int
baseTag VName
name) IntMap Usages
table

lookupPred :: (Usages -> Bool) -> VName -> UsageTable -> Bool
lookupPred :: (Usages -> Bool) -> VName -> UsageTable -> Bool
lookupPred Usages -> Bool
f VName
name = Bool -> (Usages -> Bool) -> Maybe Usages -> Bool
forall b a. b -> (a -> b) -> Maybe a -> b
maybe Bool
False Usages -> Bool
f (Maybe Usages -> Bool)
-> (UsageTable -> Maybe Usages) -> UsageTable -> Bool
forall b c a. (b -> c) -> (a -> b) -> a -> c
. VName -> UsageTable -> Maybe Usages
lookup VName
name

-- | Is the variable present in the usage table?  That is, has it been used?
used :: VName -> UsageTable -> Bool
used :: VName -> UsageTable -> Bool
used = (Usages -> Bool) -> VName -> UsageTable -> Bool
lookupPred ((Usages -> Bool) -> VName -> UsageTable -> Bool)
-> (Usages -> Bool) -> VName -> UsageTable -> Bool
forall a b. (a -> b) -> a -> b
$ Bool -> Usages -> Bool
forall a b. a -> b -> a
const Bool
True

-- | Expand the usage table based on aliasing information.
expand :: (VName -> Names) -> UsageTable -> UsageTable
expand :: (VName -> Names) -> UsageTable -> UsageTable
expand VName -> Names
look (UsageTable IntMap Usages
m) = IntMap Usages -> UsageTable
UsageTable (IntMap Usages -> UsageTable) -> IntMap Usages -> UsageTable
forall a b. (a -> b) -> a -> b
$ (IntMap Usages -> (Int, Usages) -> IntMap Usages)
-> IntMap Usages -> [(Int, Usages)] -> IntMap Usages
forall (t :: * -> *) b a.
Foldable t =>
(b -> a -> b) -> b -> t a -> b
foldl' IntMap Usages -> (Int, Usages) -> IntMap Usages
grow IntMap Usages
m ([(Int, Usages)] -> IntMap Usages)
-> [(Int, Usages)] -> IntMap Usages
forall a b. (a -> b) -> a -> b
$ IntMap Usages -> [(Int, Usages)]
forall a. IntMap a -> [(Int, a)]
IM.toList IntMap Usages
m
  where
    grow :: IntMap Usages -> (Int, Usages) -> IntMap Usages
grow IntMap Usages
m' (Int
k, Usages
v) =
      (IntMap Usages -> VName -> IntMap Usages)
-> IntMap Usages -> IntMap VName -> IntMap Usages
forall (t :: * -> *) b a.
Foldable t =>
(b -> a -> b) -> b -> t a -> b
foldl' (Usages -> IntMap Usages -> VName -> IntMap Usages
forall {a}. Semigroup a => a -> IntMap a -> VName -> IntMap a
grow'' (Usages -> IntMap Usages -> VName -> IntMap Usages)
-> Usages -> IntMap Usages -> VName -> IntMap Usages
forall a b. (a -> b) -> a -> b
$ Usages
v Usages -> Usages -> Usages
`withoutU` Usages
presentU) IntMap Usages
m' (IntMap VName -> IntMap Usages) -> IntMap VName -> IntMap Usages
forall a b. (a -> b) -> a -> b
$
        Names -> IntMap VName
namesIntMap (Names -> IntMap VName) -> Names -> IntMap VName
forall a b. (a -> b) -> a -> b
$ VName -> Names
look (VName -> Names) -> VName -> Names
forall a b. (a -> b) -> a -> b
$ Name -> Int -> VName
VName (String -> Name
nameFromString String
"") Int
k
    grow'' :: a -> IntMap a -> VName -> IntMap a
grow'' a
v IntMap a
m'' VName
k = (a -> a -> a) -> Int -> a -> IntMap a -> IntMap a
forall a. (a -> a -> a) -> Int -> a -> IntMap a -> IntMap a
IM.insertWith a -> a -> a
forall a. Semigroup a => a -> a -> a
(<>) (VName -> Int
baseTag VName
k) a
v IntMap a
m''

is :: Usages -> VName -> UsageTable -> Bool
is :: Usages -> VName -> UsageTable -> Bool
is = (Usages -> Bool) -> VName -> UsageTable -> Bool
lookupPred ((Usages -> Bool) -> VName -> UsageTable -> Bool)
-> (Usages -> Usages -> Bool)
-> Usages
-> VName
-> UsageTable
-> Bool
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Usages -> Usages -> Bool
matches

-- | Has the variable been consumed?
isConsumed :: VName -> UsageTable -> Bool
isConsumed :: VName -> UsageTable -> Bool
isConsumed = Usages -> VName -> UsageTable -> Bool
is Usages
consumedU

-- | Has the variable been used in the 'Result' of a body?
isInResult :: VName -> UsageTable -> Bool
isInResult :: VName -> UsageTable -> Bool
isInResult = Usages -> VName -> UsageTable -> Bool
is Usages
inResultU

-- | Has the given name been used directly (i.e. could we rename it or
-- remove it without anyone noticing?)
isUsedDirectly :: VName -> UsageTable -> Bool
isUsedDirectly :: VName -> UsageTable -> Bool
isUsedDirectly = Usages -> VName -> UsageTable -> Bool
is Usages
presentU

-- | Is this name used as the size of something (array or memory block)?
isSize :: VName -> UsageTable -> Bool
isSize :: VName -> UsageTable -> Bool
isSize = Usages -> VName -> UsageTable -> Bool
is Usages
sizeU

-- | Construct a usage table reflecting that these variables have been
-- used.
usages :: Names -> UsageTable
usages :: Names -> UsageTable
usages = IntMap Usages -> UsageTable
UsageTable (IntMap Usages -> UsageTable)
-> (Names -> IntMap Usages) -> Names -> UsageTable
forall b c a. (b -> c) -> (a -> b) -> a -> c
. (VName -> Usages) -> IntMap VName -> IntMap Usages
forall a b. (a -> b) -> IntMap a -> IntMap b
IM.map (Usages -> VName -> Usages
forall a b. a -> b -> a
const Usages
presentU) (IntMap VName -> IntMap Usages)
-> (Names -> IntMap VName) -> Names -> IntMap Usages
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Names -> IntMap VName
namesIntMap

-- | Construct a usage table where the given variable has been used in
-- this specific way.
usage :: VName -> Usages -> UsageTable
usage :: VName -> Usages -> UsageTable
usage VName
name Usages
uses = IntMap Usages -> UsageTable
UsageTable (IntMap Usages -> UsageTable) -> IntMap Usages -> UsageTable
forall a b. (a -> b) -> a -> b
$ Int -> Usages -> IntMap Usages
forall a. Int -> a -> IntMap a
IM.singleton (VName -> Int
baseTag VName
name) Usages
uses

-- | Construct a usage table where the given variable has been consumed.
consumedUsage :: VName -> UsageTable
consumedUsage :: VName -> UsageTable
consumedUsage VName
name = IntMap Usages -> UsageTable
UsageTable (IntMap Usages -> UsageTable) -> IntMap Usages -> UsageTable
forall a b. (a -> b) -> a -> b
$ Int -> Usages -> IntMap Usages
forall a. Int -> a -> IntMap a
IM.singleton (VName -> Int
baseTag VName
name) Usages
consumedU

-- | Construct a usage table where the given variable has been used in
-- the 'Result' of a body.
inResultUsage :: VName -> UsageTable
inResultUsage :: VName -> UsageTable
inResultUsage VName
name = IntMap Usages -> UsageTable
UsageTable (IntMap Usages -> UsageTable) -> IntMap Usages -> UsageTable
forall a b. (a -> b) -> a -> b
$ Int -> Usages -> IntMap Usages
forall a. Int -> a -> IntMap a
IM.singleton (VName -> Int
baseTag VName
name) Usages
inResultU

-- | Construct a usage table where the given variable has been used as
-- an array or memory size.
sizeUsage :: VName -> UsageTable
sizeUsage :: VName -> UsageTable
sizeUsage VName
name = IntMap Usages -> UsageTable
UsageTable (IntMap Usages -> UsageTable) -> IntMap Usages -> UsageTable
forall a b. (a -> b) -> a -> b
$ Int -> Usages -> IntMap Usages
forall a. Int -> a -> IntMap a
IM.singleton (VName -> Int
baseTag VName
name) Usages
sizeU

-- | Construct a usage table where the given names have been used as
-- an array or memory size.
sizeUsages :: Names -> UsageTable
sizeUsages :: Names -> UsageTable
sizeUsages = IntMap Usages -> UsageTable
UsageTable (IntMap Usages -> UsageTable)
-> (Names -> IntMap Usages) -> Names -> UsageTable
forall b c a. (b -> c) -> (a -> b) -> a -> c
. (VName -> Usages) -> IntMap VName -> IntMap Usages
forall a b. (a -> b) -> IntMap a -> IntMap b
IM.map (Usages -> VName -> Usages
forall a b. a -> b -> a
const Usages
sizeU) (IntMap VName -> IntMap Usages)
-> (Names -> IntMap VName) -> Names -> IntMap Usages
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Names -> IntMap VName
namesIntMap

-- | A description of how a single variable has been used.
newtype Usages = Usages Int -- Bitmap representation for speed.
  deriving (Usages -> Usages -> Bool
(Usages -> Usages -> Bool)
-> (Usages -> Usages -> Bool) -> Eq Usages
forall a. (a -> a -> Bool) -> (a -> a -> Bool) -> Eq a
/= :: Usages -> Usages -> Bool
$c/= :: Usages -> Usages -> Bool
== :: Usages -> Usages -> Bool
$c== :: Usages -> Usages -> Bool
Eq, Eq Usages
Eq Usages
-> (Usages -> Usages -> Ordering)
-> (Usages -> Usages -> Bool)
-> (Usages -> Usages -> Bool)
-> (Usages -> Usages -> Bool)
-> (Usages -> Usages -> Bool)
-> (Usages -> Usages -> Usages)
-> (Usages -> Usages -> Usages)
-> Ord Usages
Usages -> Usages -> Bool
Usages -> Usages -> Ordering
Usages -> Usages -> Usages
forall a.
Eq a
-> (a -> a -> Ordering)
-> (a -> a -> Bool)
-> (a -> a -> Bool)
-> (a -> a -> Bool)
-> (a -> a -> Bool)
-> (a -> a -> a)
-> (a -> a -> a)
-> Ord a
min :: Usages -> Usages -> Usages
$cmin :: Usages -> Usages -> Usages
max :: Usages -> Usages -> Usages
$cmax :: Usages -> Usages -> Usages
>= :: Usages -> Usages -> Bool
$c>= :: Usages -> Usages -> Bool
> :: Usages -> Usages -> Bool
$c> :: Usages -> Usages -> Bool
<= :: Usages -> Usages -> Bool
$c<= :: Usages -> Usages -> Bool
< :: Usages -> Usages -> Bool
$c< :: Usages -> Usages -> Bool
compare :: Usages -> Usages -> Ordering
$ccompare :: Usages -> Usages -> Ordering
Ord, Int -> Usages -> ShowS
[Usages] -> ShowS
Usages -> String
(Int -> Usages -> ShowS)
-> (Usages -> String) -> ([Usages] -> ShowS) -> Show Usages
forall a.
(Int -> a -> ShowS) -> (a -> String) -> ([a] -> ShowS) -> Show a
showList :: [Usages] -> ShowS
$cshowList :: [Usages] -> ShowS
show :: Usages -> String
$cshow :: Usages -> String
showsPrec :: Int -> Usages -> ShowS
$cshowsPrec :: Int -> Usages -> ShowS
Show)

instance Semigroup Usages where
  Usages Int
x <> :: Usages -> Usages -> Usages
<> Usages Int
y = Int -> Usages
Usages (Int -> Usages) -> Int -> Usages
forall a b. (a -> b) -> a -> b
$ Int
x Int -> Int -> Int
forall a. Bits a => a -> a -> a
.|. Int
y

instance Monoid Usages where
  mempty :: Usages
mempty = Int -> Usages
Usages Int
0

consumedU, inResultU, presentU, sizeU :: Usages
consumedU :: Usages
consumedU = Int -> Usages
Usages Int
1
inResultU :: Usages
inResultU = Int -> Usages
Usages Int
2
presentU :: Usages
presentU = Int -> Usages
Usages Int
4
sizeU :: Usages
sizeU = Int -> Usages
Usages Int
8

-- | Check whether the bits that are set in the first argument are
-- also set in the second.
matches :: Usages -> Usages -> Bool
matches :: Usages -> Usages -> Bool
matches (Usages Int
x) (Usages Int
y) = Int
x Int -> Int -> Bool
forall a. Eq a => a -> a -> Bool
== (Int
x Int -> Int -> Int
forall a. Bits a => a -> a -> a
.&. Int
y)

-- | x - y, but for Usages.
withoutU :: Usages -> Usages -> Usages
withoutU :: Usages -> Usages -> Usages
withoutU (Usages Int
x) (Usages Int
y) = Int -> Usages
Usages (Int -> Usages) -> Int -> Usages
forall a b. (a -> b) -> a -> b
$ Int
x Int -> Int -> Int
forall a. Bits a => a -> a -> a
.&. Int -> Int
forall a. Bits a => a -> a
complement Int
y

usageInBody :: Aliased lore => Body lore -> UsageTable
usageInBody :: forall lore. Aliased lore => Body lore -> UsageTable
usageInBody = (VName -> UsageTable) -> [VName] -> UsageTable
forall (t :: * -> *) m a.
(Foldable t, Monoid m) =>
(a -> m) -> t a -> m
foldMap VName -> UsageTable
consumedUsage ([VName] -> UsageTable)
-> (Body lore -> [VName]) -> Body lore -> UsageTable
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Names -> [VName]
namesToList (Names -> [VName]) -> (Body lore -> Names) -> Body lore -> [VName]
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Body lore -> Names
forall lore. Aliased lore => Body lore -> Names
consumedInBody

-- | Produce a usage table reflecting the use of the free variables in
-- a single statement.
usageInStm :: (ASTLore lore, Aliased lore) => Stm lore -> UsageTable
usageInStm :: forall lore. (ASTLore lore, Aliased lore) => Stm lore -> UsageTable
usageInStm (Let Pattern lore
pat StmAux (ExpDec lore)
lore Exp lore
e) =
  [UsageTable] -> UsageTable
forall a. Monoid a => [a] -> a
mconcat
    [ UsageTable
usageInPat,
      UsageTable
usageInExpLore,
      Exp lore -> UsageTable
forall lore. Aliased lore => Exp lore -> UsageTable
usageInExp Exp lore
e,
      Names -> UsageTable
usages (Exp lore -> Names
forall a. FreeIn a => a -> Names
freeIn Exp lore
e)
    ]
  where
    usageInPat :: UsageTable
usageInPat =
      Names -> UsageTable
usages
        ( [Names] -> Names
forall a. Monoid a => [a] -> a
mconcat ((PatElemT (LetDec lore) -> Names)
-> [PatElemT (LetDec lore)] -> [Names]
forall a b. (a -> b) -> [a] -> [b]
map PatElemT (LetDec lore) -> Names
forall a. FreeIn a => a -> Names
freeIn ([PatElemT (LetDec lore)] -> [Names])
-> [PatElemT (LetDec lore)] -> [Names]
forall a b. (a -> b) -> a -> b
$ Pattern lore -> [PatElemT (LetDec lore)]
forall dec. PatternT dec -> [PatElemT dec]
patternElements Pattern lore
pat)
            Names -> Names -> Names
`namesSubtract` [VName] -> Names
namesFromList (Pattern lore -> [VName]
forall dec. PatternT dec -> [VName]
patternNames Pattern lore
pat)
        )
        UsageTable -> UsageTable -> UsageTable
forall a. Semigroup a => a -> a -> a
<> Names -> UsageTable
sizeUsages ((PatElemT (LetDec lore) -> Names)
-> [PatElemT (LetDec lore)] -> Names
forall (t :: * -> *) m a.
(Foldable t, Monoid m) =>
(a -> m) -> t a -> m
foldMap (Type -> Names
forall a. FreeIn a => a -> Names
freeIn (Type -> Names)
-> (PatElemT (LetDec lore) -> Type)
-> PatElemT (LetDec lore)
-> Names
forall b c a. (b -> c) -> (a -> b) -> a -> c
. PatElemT (LetDec lore) -> Type
forall dec. Typed dec => PatElemT dec -> Type
patElemType) (Pattern lore -> [PatElemT (LetDec lore)]
forall dec. PatternT dec -> [PatElemT dec]
patternElements Pattern lore
pat))
    usageInExpLore :: UsageTable
usageInExpLore =
      Names -> UsageTable
usages (Names -> UsageTable) -> Names -> UsageTable
forall a b. (a -> b) -> a -> b
$ StmAux (ExpDec lore) -> Names
forall a. FreeIn a => a -> Names
freeIn StmAux (ExpDec lore)
lore

usageInExp :: Aliased lore => Exp lore -> UsageTable
usageInExp :: forall lore. Aliased lore => Exp lore -> UsageTable
usageInExp (Apply Name
_ [(SubExp, Diet)]
args [RetType lore]
_ (Safety, SrcLoc, [SrcLoc])
_) =
  [UsageTable] -> UsageTable
forall a. Monoid a => [a] -> a
mconcat
    [ [UsageTable] -> UsageTable
forall a. Monoid a => [a] -> a
mconcat ([UsageTable] -> UsageTable) -> [UsageTable] -> UsageTable
forall a b. (a -> b) -> a -> b
$
        (VName -> UsageTable) -> [VName] -> [UsageTable]
forall a b. (a -> b) -> [a] -> [b]
map VName -> UsageTable
consumedUsage ([VName] -> [UsageTable]) -> [VName] -> [UsageTable]
forall a b. (a -> b) -> a -> b
$
          Names -> [VName]
namesToList (Names -> [VName]) -> Names -> [VName]
forall a b. (a -> b) -> a -> b
$ SubExp -> Names
subExpAliases SubExp
arg
      | (SubExp
arg, Diet
d) <- [(SubExp, Diet)]
args,
        Diet
d Diet -> Diet -> Bool
forall a. Eq a => a -> a -> Bool
== Diet
Consume
    ]
usageInExp e :: ExpT lore
e@DoLoop {} =
  (VName -> UsageTable) -> [VName] -> UsageTable
forall (t :: * -> *) m a.
(Foldable t, Monoid m) =>
(a -> m) -> t a -> m
foldMap VName -> UsageTable
consumedUsage ([VName] -> UsageTable) -> [VName] -> UsageTable
forall a b. (a -> b) -> a -> b
$ Names -> [VName]
namesToList (Names -> [VName]) -> Names -> [VName]
forall a b. (a -> b) -> a -> b
$ ExpT lore -> Names
forall lore. Aliased lore => Exp lore -> Names
consumedInExp ExpT lore
e
usageInExp (If SubExp
_ BodyT lore
tbranch BodyT lore
fbranch IfDec (BranchType lore)
_) =
  BodyT lore -> UsageTable
forall lore. Aliased lore => Body lore -> UsageTable
usageInBody BodyT lore
tbranch UsageTable -> UsageTable -> UsageTable
forall a. Semigroup a => a -> a -> a
<> BodyT lore -> UsageTable
forall lore. Aliased lore => Body lore -> UsageTable
usageInBody BodyT lore
fbranch
usageInExp (WithAcc [(ShapeBase SubExp, [VName], Maybe (Lambda lore, [SubExp]))]
inputs Lambda lore
lam) =
  ((ShapeBase SubExp, [VName], Maybe (Lambda lore, [SubExp]))
 -> UsageTable)
-> [(ShapeBase SubExp, [VName], Maybe (Lambda lore, [SubExp]))]
-> UsageTable
forall (t :: * -> *) m a.
(Foldable t, Monoid m) =>
(a -> m) -> t a -> m
foldMap (ShapeBase SubExp, [VName], Maybe (Lambda lore, [SubExp]))
-> UsageTable
forall {t :: * -> *} {a} {c}.
Foldable t =>
(a, t VName, c) -> UsageTable
inputUsage [(ShapeBase SubExp, [VName], Maybe (Lambda lore, [SubExp]))]
inputs UsageTable -> UsageTable -> UsageTable
forall a. Semigroup a => a -> a -> a
<> BodyT lore -> UsageTable
forall lore. Aliased lore => Body lore -> UsageTable
usageInBody (Lambda lore -> BodyT lore
forall lore. LambdaT lore -> BodyT lore
lambdaBody Lambda lore
lam)
  where
    inputUsage :: (a, t VName, c) -> UsageTable
inputUsage (a
_, t VName
arrs, c
_) = (VName -> UsageTable) -> t VName -> UsageTable
forall (t :: * -> *) m a.
(Foldable t, Monoid m) =>
(a -> m) -> t a -> m
foldMap VName -> UsageTable
consumedUsage t VName
arrs
usageInExp (BasicOp (Update VName
src Slice SubExp
_ SubExp
_)) =
  VName -> UsageTable
consumedUsage VName
src
usageInExp (Op Op lore
op) =
  [UsageTable] -> UsageTable
forall a. Monoid a => [a] -> a
mconcat ([UsageTable] -> UsageTable) -> [UsageTable] -> UsageTable
forall a b. (a -> b) -> a -> b
$ (VName -> UsageTable) -> [VName] -> [UsageTable]
forall a b. (a -> b) -> [a] -> [b]
map VName -> UsageTable
consumedUsage (Names -> [VName]
namesToList (Names -> [VName]) -> Names -> [VName]
forall a b. (a -> b) -> a -> b
$ Op lore -> Names
forall op. AliasedOp op => op -> Names
consumedInOp Op lore
op)
usageInExp (BasicOp BasicOp
_) = UsageTable
forall a. Monoid a => a
mempty