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|
{-# LANGUAGE DeriveFunctor #-}
{-# LANGUAGE GADTs #-}
{-# LANGUAGE LambdaCase #-}
{-# LANGUAGE PolyKinds #-}
{-# LANGUAGE TypeApplications #-}
module Compile where
import Control.Monad.Trans.State.Strict
import Data.Bifunctor (first, second)
import Data.Foldable (toList)
import Data.Functor.Const
import qualified Data.Functor.Product as Product
import Data.Functor.Product (Product)
import Data.List (intersperse, intercalate)
import qualified Data.Map.Strict as Map
import qualified Data.Set as Set
import Data.Set (Set)
import Data.Some
import qualified Data.Vector as V
import Foreign
import Array
import AST
import AST.Pretty (ppTy)
import Compile.Exec
import Data
import Interpreter.Rep
-- In shape and index arrays, the innermost dimension is on the right (last index).
-- TODO: array lifetimes in C?
compile :: SList STy env -> Ex env t
-> IO (SList Value env -> IO (Rep t))
compile = \env expr -> do
lib <- buildKernel (compileToString env expr) ["kernel"]
let arg_metrics = reverse (unSList metricsSTy env)
(arg_offsets, result_offset) = computeStructOffsets arg_metrics
result_type = typeOf expr
result_size = sizeofSTy result_type
return $ \val -> do
allocaBytes (result_offset + result_size) $ \ptr -> do
let args = zip (reverse (unSList Some (slistZip env val))) arg_offsets
serialiseArguments args ptr $ do
callKernelFun "kernel" lib ptr
deserialise result_type ptr result_offset
where
serialiseArguments :: [(Some (Product STy Value), Int)] -> Ptr () -> IO r -> IO r
serialiseArguments ((Some (Product.Pair t (Value arg)), off) : args) ptr k =
serialise t arg ptr off $
serialiseArguments args ptr k
serialiseArguments _ _ k = k
data StructDecl = StructDecl
String -- ^ name
String -- ^ contents
String -- ^ comment
deriving (Show)
data Stmt
= SVarDecl Bool String String CExpr -- ^ const, type, variable name, right-hand side
| SVarDeclUninit String String -- ^ type, variable name (no initialiser)
| SAsg String CExpr -- ^ variable name, right-hand side
| SBlock [Stmt]
| SIf CExpr [Stmt] [Stmt]
| SVerbatim String
deriving (Show)
data CExpr
= CELit String
| CEStruct String [(String, CExpr)]
| CEProj CExpr String
| CECall String [CExpr]
| CEBinop CExpr String CExpr
| CEIf CExpr CExpr CExpr
deriving (Show)
printStructDecl :: StructDecl -> ShowS
printStructDecl (StructDecl name contents comment) =
showString "typedef struct { " . showString contents . showString " } " . showString name
. showString ("; // " ++ comment)
printStmt :: Int -> Stmt -> ShowS
printStmt indent = \case
SVarDecl cnst typ name rhs -> showString ((if cnst then "const " else "") ++ typ ++ " " ++ name ++ " = ") . printCExpr 0 rhs . showString ";"
SVarDeclUninit typ name -> showString (typ ++ " " ++ name ++ ";")
SAsg name rhs -> showString (name ++ " = ") . printCExpr 0 rhs . showString ";"
SBlock stmts ->
showString "{"
. compose [showString ("\n" ++ replicate (2*indent+2) ' ') . printStmt (indent+1) stmt | stmt <- stmts]
. showString ("\n" ++ replicate (2*indent) ' ' ++ "}")
SIf cond b1 b2 ->
showString "if (" . printCExpr 0 cond . showString ") "
. printStmt indent (SBlock b1) . showString " else " . printStmt indent (SBlock b2)
SVerbatim s -> showString s
-- d values:
-- * 0: top level
-- * 1: in 1st or 2nd component of a ternary operator (technically same as top level, but readability)
-- * 2-...: various operators (see precTable)
-- * 98: inside unknown operator
-- * 99: left of a field projection
-- Unlisted operators are conservatively written with full parentheses.
printCExpr :: Int -> CExpr -> ShowS
printCExpr d = \case
CELit s -> showString s
CEStruct name pairs ->
showParen (d >= 99) $
showString ("(" ++ name ++ "){")
. compose (intersperse (showString ", ") [showString ("." ++ n ++ " = ") . printCExpr 0 e
| (n, e) <- pairs])
. showString "}"
CEProj e name -> printCExpr 99 e . showString ("." ++ name)
CECall n es ->
showString (n ++ "(") . compose (intersperse (showString ", ") (map (printCExpr 0) es)) . showString ")"
CEBinop e1 n e2 ->
let mprec = Map.lookup n precTable
p = maybe (-1) fst mprec -- precedence of this operator
(d1, d2) = maybe (98, 98) snd mprec -- precedences for the arguments
in showParen (d > p) $
printCExpr d1 e1 . showString (" " ++ n ++ " ") . printCExpr d2 e2
CEIf e1 e2 e3 ->
showParen (d > 0) $
printCExpr 1 e1 . showString " ? " . printCExpr 1 e2 . showString " : " . printCExpr 0 e3
where
precTable = Map.fromList
[("||", (2, (2, 2)))
,("&&", (3, (3, 3)))
,("==", (4, (5, 5)))
,("!=", (4, (5, 5)))
,("<", (5, (6, 6)))
,(">", (5, (6, 6)))
,("<=", (5, (6, 6)))
,(">=", (5, (6, 6)))
,("+", (6, (6, 6)))
,("-", (6, (6, 7)))
,("*", (7, (7, 7)))
,("/", (7, (7, 8)))
,("%", (7, (7, 8)))]
repTy :: Ty -> String
repTy (TScal st) = case st of
TI32 -> "int32_t"
TI64 -> "int64_t"
TF32 -> "float"
TF64 -> "double"
TBool -> "uint8_t"
repTy t = genStructName t
repSTy :: STy t -> String
repSTy = repTy . unSTy
genStructName :: Ty -> String
genStructName = \t -> "ty_" ++ gen t where
-- all tags start with a letter, so the array mangling is unambiguous.
gen :: Ty -> String
gen TNil = "n"
gen (TPair a b) = 'P' : gen a ++ gen b
gen (TEither a b) = 'E' : gen a ++ gen b
gen (TMaybe t) = 'M' : gen t
gen (TArr n t) = "A" ++ show (fromNat n) ++ gen t
gen (TScal st) = case st of
TI32 -> "i"
TI64 -> "j"
TF32 -> "f"
TF64 -> "d"
TBool -> "b"
gen (TAccum t) = 'C' : gen t
genStruct :: String -> Ty -> Maybe StructDecl
genStruct name topty = case topty of
TNil ->
Just $ StructDecl name "" com
TPair a b ->
Just $ StructDecl name (repTy a ++ " a; " ++ repTy b ++ " b;") com
TEither a b -> -- 0 -> a, 1 -> b
Just $ StructDecl name ("uint8_t tag; union { " ++ repTy a ++ " a; " ++ repTy b ++ " b; };") com
TMaybe t -> -- 0 -> nothing, 1 -> just
Just $ StructDecl name ("uint8_t tag; " ++ repTy t ++ " a;") com
TArr n t ->
Just $ StructDecl name ("size_t sh[" ++ show (fromNat n) ++ "]; " ++ repTy t ++ " *a;") com
TScal _ ->
Nothing
TAccum t ->
Just $ StructDecl name (repTy t ++ " a;") com
where
com = ppTy 0 topty
-- State: (already-generated (skippable) struct names, the structs in declaration order)
genStructs :: Ty -> State (Set String, Bag StructDecl) ()
genStructs ty = do
let name = genStructName ty
seen <- gets ((name `Set.member`) . fst)
case (if seen then Nothing else genStruct name ty) of
Nothing -> pure ()
Just decl -> do
-- already mark this struct as generated now, so we don't generate it twice
modify (first (Set.insert name))
case ty of
TNil -> pure ()
TPair a b -> genStructs a >> genStructs b
TEither a b -> genStructs a >> genStructs b
TMaybe t -> genStructs t
TArr _ t -> genStructs t
TScal _ -> pure ()
TAccum t -> genStructs t
modify (second (<> pure decl))
genAllStructs :: Foldable t => t Ty -> [StructDecl]
genAllStructs tys = toList . snd $ execState (mapM_ genStructs tys) (mempty, mempty)
data CompState = CompState
{ csStructs :: Set Ty
, csStmts :: Bag Stmt
, csNextId :: Int }
deriving (Show)
type CompM a = State CompState a
genId :: CompM Int
genId = state $ \s -> (csNextId s, s { csNextId = csNextId s + 1 })
genName :: CompM String
genName = ('x' :) . show <$> genId
emit :: Stmt -> CompM ()
emit stmt = modify $ \s -> s { csStmts = csStmts s <> pure stmt }
scope :: CompM a -> CompM (a, [Stmt])
scope m = do
stmts <- state $ \s -> (csStmts s, s { csStmts = mempty })
res <- m
innerStmts <- state $ \s -> (csStmts s, s { csStmts = stmts })
return (res, toList innerStmts)
emitStruct :: STy t -> CompM String
emitStruct ty = do
let ty' = unSTy ty
modify $ \s -> s { csStructs = Set.insert ty' (csStructs s) }
return (genStructName ty')
nameEnv :: SList f env -> SList (Const String) env
nameEnv = flip evalState (0::Int) . slistMapA (\_ -> state $ \i -> (Const ("arg" ++ show i), i + 1))
compileToString :: SList STy env -> Ex env t -> String
compileToString env expr =
let args = nameEnv env
(res, s) = runState (compile' args expr) (CompState mempty mempty 1)
structs = genAllStructs (csStructs s <> Set.fromList (unSList unSTy env))
(arg_pairs, arg_metrics) =
unzip $ reverse (unSList (\(Product.Pair t (Const n)) -> ((n, repSTy t), metricsSTy t))
(slistZip env args))
(arg_offsets, result_offset') = computeStructOffsets arg_metrics
result_offset = align (alignmentSTy (typeOf expr)) result_offset'
in ($ "") $ compose
[showString "#include <stdint.h>\n"
,showString "#include <stdlib.h>\n\n"
,compose $ map (\sd -> printStructDecl sd . showString "\n") structs
,showString "\n"
,showString $
"static " ++ repSTy (typeOf expr) ++ " typed_kernel(" ++
intercalate ", " (reverse (unSList (\(Product.Pair t (Const n)) -> repSTy t ++ " " ++ n) (slistZip env args))) ++
") {\n"
,compose $ map (\st -> showString " " . printStmt 1 st . showString "\n") (toList (csStmts s))
,showString (" return ") . printCExpr 0 res . showString ";\n}\n\n"
,showString "void kernel(void *data) {\n"
-- Some code here assumes that we're on a 64-bit system, so let's check that
,showString " if (sizeof(void*) != 8) { abort(); }\n"
,showString $ " *(" ++ repSTy (typeOf expr) ++ "*)(data + " ++ show result_offset ++ ") = typed_kernel(" ++
concat (map (\((arg, typ), off, idx) ->
"\n *(" ++ typ ++ "*)(data + " ++ show off ++ ")"
++ (if idx < length arg_pairs - 1 then "," else "")
++ " // " ++ arg)
(zip3 arg_pairs arg_offsets [0::Int ..])) ++
"\n );\n"
,showString "}\n"]
-- | Takes list of metrics (alignment, sizeof).
-- Returns (offsets, size of struct).
computeStructOffsets :: [(Int, Int)] -> ([Int], Int)
computeStructOffsets = go 0 0
where
go off maxal [(al, sz)] =
([off], align (max maxal al) (off + sz))
go off maxal ((al, sz) : pairs@((al2,_):_)) =
first (off :) $ go (align al2 (off + sz)) (max maxal al) pairs
go _ _ [] = ([], 0)
-- | Assumes that this is called at the correct alignment.
serialise :: STy t -> Rep t -> Ptr () -> Int -> IO r -> IO r
serialise topty topval ptr off k =
-- TODO: this code is quadratic in the depth of the type because of the alignment/sizeOf calls
case (topty, topval) of
(STNil, ()) -> k
(STPair a b, (x, y)) ->
serialise a x ptr off $
serialise b y ptr (align (alignmentSTy b) (off + sizeofSTy a)) k
(STEither a _, Left x) -> do
pokeByteOff ptr off (0 :: Word8) -- alignment of (a + b) is alignment of (union {a b})
serialise a x ptr (off + alignmentSTy topty) k
(STEither _ b, Right y) -> do
pokeByteOff ptr off (1 :: Word8)
serialise b y ptr (off + alignmentSTy topty) k
(STMaybe _, Nothing) -> do
pokeByteOff ptr off (0 :: Word8)
k
(STMaybe t, Just x) -> do
pokeByteOff ptr off (1 :: Word8)
serialise t x ptr (off + alignmentSTy t) k
(STArr n t, Array sh vec) -> do
pokeShape ptr off n sh
let off1 = off + 8 * fromSNat n
eltsz = sizeofSTy t
allocaBytes (shapeSize sh * sizeofSTy t) $ \arrptr ->
let loop i
| i == shapeSize sh = k
| otherwise =
serialise t (vec V.! i) arrptr (off1 + i * eltsz) $
loop (i+1)
in loop 0
(STScal sty, x) -> case sty of
STI32 -> pokeByteOff ptr off (x :: Int32) >> k
STI64 -> pokeByteOff ptr off (x :: Int64) >> k
STF32 -> pokeByteOff ptr off (x :: Float) >> k
STF64 -> pokeByteOff ptr off (x :: Double) >> k
STBool -> pokeByteOff ptr off (fromIntegral (fromEnum x) :: Word8) >> k
(STAccum{}, _) -> error "Cannot serialise accumulators"
-- | Assumes that this is called at the correct alignment.
deserialise :: STy t -> Ptr () -> Int -> IO (Rep t)
deserialise topty ptr off =
-- TODO: this code is quadratic in the depth of the type because of the alignment/sizeOf calls
case topty of
STNil -> return ()
STPair a b -> do
x <- deserialise a ptr off
y <- deserialise b ptr (align (alignmentSTy b) (off + sizeofSTy a))
return (x, y)
STEither a b -> do
tag <- peekByteOff @Word8 ptr off
if tag == 0 -- alignment of (a + b) is alignment of (union {a b})
then Left <$> deserialise a ptr (off + alignmentSTy topty)
else Right <$> deserialise b ptr (off + alignmentSTy topty)
STMaybe t -> do
tag <- peekByteOff @Word8 ptr off
if tag == 0
then return Nothing
else Just <$> deserialise t ptr (off + alignmentSTy t)
STArr n t -> do
sh <- peekShape ptr off n
let off1 = off + 8 * fromSNat n
eltsz = sizeofSTy t
Array sh <$> V.generateM (shapeSize sh) (\i -> deserialise t ptr (off1 + i * eltsz))
STScal sty -> case sty of
STI32 -> peekByteOff @Int32 ptr off
STI64 -> peekByteOff @Int64 ptr off
STF32 -> peekByteOff @Float ptr off
STF64 -> peekByteOff @Double ptr off
STBool -> toEnum . fromIntegral <$> peekByteOff @Word8 ptr off
STAccum{} -> error "Cannot serialise accumulators"
align :: Int -> Int -> Int
align a off = (off + a - 1) `div` a * a
alignmentSTy :: STy t -> Int
alignmentSTy = fst . metricsSTy
sizeofSTy :: STy t -> Int
sizeofSTy = snd . metricsSTy
-- | Returns (alignment, sizeof)
metricsSTy :: STy t -> (Int, Int)
metricsSTy STNil = (1, 0)
metricsSTy (STPair a b) =
let (a1, s1) = metricsSTy a
(a2, s2) = metricsSTy b
in (max a1 a2, align (max a1 a2) (s1 + s2))
metricsSTy (STEither a b) =
let (a1, s1) = metricsSTy a
(a2, s2) = metricsSTy b
in (max a1 a2, max a1 a2 + max s1 s2) -- the union after the tag byte is aligned
metricsSTy (STMaybe t) =
let (a, s) = metricsSTy t
in (a, a + s) -- the union after the tag byte is aligned
metricsSTy (STArr n _) = (8, fromSNat n * 8 + 8)
metricsSTy (STScal sty) = case sty of
STI32 -> (4, 4)
STI64 -> (8, 8)
STF32 -> (4, 4)
STF64 -> (8, 8)
STBool -> (1, 1) -- compiled to uint8_t
metricsSTy (STAccum t) = metricsSTy t
pokeShape :: Ptr () -> Int -> SNat n -> Shape n -> IO ()
pokeShape ptr off = go . fromSNat
where
go :: Int -> Shape n -> IO ()
go rank = \case
ShNil -> return ()
sh `ShCons` n -> do
pokeByteOff ptr (off + (rank - 1) * 8) (fromIntegral n :: Int64)
go (rank - 1) sh
peekShape :: Ptr () -> Int -> SNat n -> IO (Shape n)
peekShape ptr off = \case
SZ -> return ShNil
SS n -> ShCons <$> peekShape ptr off n
<*> (fromIntegral <$> peekByteOff @Int64 ptr (off + (fromSNat n) * 8))
compile' :: SList (Const String) env -> Ex env t -> CompM CExpr
compile' env = \case
EVar _ _ i -> return $ CELit (getConst (slistIdx env i))
ELet _ rhs body -> do
e <- compile' env rhs
var <- genName
emit $ SVarDecl True (repSTy (typeOf rhs)) var e
compile' (Const var `SCons` env) body
EPair _ a b -> do
name <- emitStruct (STPair (typeOf a) (typeOf b))
e1 <- compile' env a
e2 <- compile' env b
return $ CEStruct name [("a", e1), ("b", e2)]
EFst _ e -> CEProj <$> compile' env e <*> pure "a"
ESnd _ e -> CEProj <$> compile' env e <*> pure "b"
ENil _ -> do
name <- emitStruct STNil
return $ CEStruct name []
EInl _ t e -> do
name <- emitStruct (STEither (typeOf e) t)
e1 <- compile' env e
return $ CEStruct name [("tag", CELit "0"), ("a", e1)]
EInr _ t e -> do
name <- emitStruct (STEither t (typeOf e))
e2 <- compile' env e
return $ CEStruct name [("tag", CELit "1"), ("b", e2)]
ECase _ (EOp _ OIf e) a b -> do
e1 <- compile' env e
(e2, stmts2) <- scope $ compile' (Const undefined `SCons` env) a -- don't access that nil, stupid you
(e3, stmts3) <- scope $ compile' (Const undefined `SCons` env) b
retvar <- genName
emit $ SVarDeclUninit (repSTy (typeOf a)) retvar
emit $ SIf e1
(stmts2 <> pure (SAsg retvar e2))
(stmts3 <> pure (SAsg retvar e3))
return (CELit retvar)
ECase _ e a b -> do
let STEither t1 t2 = typeOf e
e1 <- compile' env e
var <- genName
fieldvar <- genName
(e2, stmts2) <- scope $ compile' (Const fieldvar `SCons` env) a
(e3, stmts3) <- scope $ compile' (Const fieldvar `SCons` env) b
retvar <- genName
emit $ SVarDeclUninit (repSTy (typeOf a)) retvar
emit $ SBlock (pure (SVarDecl True (repSTy (typeOf e)) var e1)
<> pure (SIf (CEBinop (CEProj (CELit var) "tag") "==" (CELit "0"))
(pure (SVarDecl True (repSTy t1) fieldvar
(CEProj (CELit var) "a"))
<> stmts2
<> pure (SAsg retvar e2))
(pure (SVarDecl True (repSTy t2) fieldvar
(CEProj (CELit var) "b"))
<> stmts3
<> pure (SAsg retvar e3))))
return (CELit retvar)
ENothing _ t -> do
name <- emitStruct (STMaybe t)
return $ CEStruct name [("tag", CELit "0")]
EJust _ e -> do
name <- emitStruct (STMaybe (typeOf e))
e1 <- compile' env e
return $ CEStruct name [("tag", CELit "1"), ("a", e1)]
EMaybe _ a b e -> do
e1 <- compile' env e
var <- genName
fieldvar <- genName
(e2, stmts2) <- scope $ compile' env a
(e3, stmts3) <- scope $ compile' (Const fieldvar `SCons` env) b
retvar <- genName
emit $ SVarDeclUninit (repSTy (typeOf a)) retvar
emit $ SBlock (pure (SVarDecl True (repSTy (typeOf e)) var e1)
<> pure (SIf (CEBinop (CEProj (CELit var) "tag") "==" (CELit "0"))
(stmts2
<> pure (SAsg retvar e2))
(pure (SVarDecl True (repSTy (typeOf b)) fieldvar
(CEProj (CELit var) "a"))
<> stmts3
<> pure (SAsg retvar e3))))
return (CELit retvar)
-- EConstArr _ n t arr -> do
-- name <- emitStruct (STArr n (STScal t))
-- error "TODO"
-- EBuild _ n a b -> error "TODO" -- genStruct (STArr n (typeOf b)) <> EBuild ext n (compile' a) (compile' b)
-- EFold1Inner _ a b c -> error "TODO" -- EFold1Inner ext (compile' a) (compile' b) (compile' c)
-- ESum1Inner _ e -> error "TODO" -- ESum1Inner ext (compile' e)
-- EUnit _ e -> error "TODO" -- EUnit ext (compile' e)
-- EReplicate1Inner _ a b -> error "TODO" -- EReplicate1Inner ext (compile' a) (compile' b)
-- EMaximum1Inner _ e -> error "TODO" -- EMaximum1Inner ext (compile' e)
-- EMinimum1Inner _ e -> error "TODO" -- EMinimum1Inner ext (compile' e)
EConst _ t x -> case t of
STI32 -> return $ CELit $ "(int32_t)" ++ show x
STI64 -> return $ CELit $ "(int64_t)" ++ show x
STF32 -> return $ CELit $ show x ++ "f"
STF64 -> return $ CELit $ show x
STBool -> return $ CELit $ if x then "true" else "false"
-- EIdx0 _ e -> error "TODO" -- EIdx0 ext (compile' e)
-- EIdx1 _ a b -> error "TODO" -- EIdx1 ext (compile' a) (compile' b)
-- EIdx _ a b -> error "TODO" -- EIdx ext (compile' a) (compile' b)
-- EShape _ e -> error "TODO" -- EShape ext (compile' e)
EOp _ op (EPair _ e1 e2) -> do
e1' <- compile' env e1
e2' <- compile' env e2
compileOpPair op e1' e2'
EOp _ op e -> do
e' <- compile' env e
compileOpGeneral op e'
-- ECustom _ t1 t2 t3 a b c e1 e2 -> error "TODO" -- ECustom ext t1 t2 t3 (compile' a) (compile' b) (compile' c) (compile' e1) (compile' e2)
-- EWith _ a b -> error "TODO" -- EWith (compile' a) (compile' b)
-- EAccum _ n a b e -> error "TODO" -- EAccum n (compile' a) (compile' b) (compile' e)
EError _ t s -> do
name <- emitStruct t
-- using 'show' here is wrong, but it's good enough for me.
emit $ SVerbatim $ "fprintf(stderr, \"ERROR: %s\\n\", " ++ show s ++ "); exit(1);"
return $ CEStruct name []
EZero{} -> error "Compile: monoid operations should have been eliminated"
EPlus{} -> error "Compile: monoid operations should have been eliminated"
EOneHot{} -> error "Compile: monoid operations should have been eliminated"
_ -> error "Compile: not implemented"
compileOpGeneral :: SOp a b -> CExpr -> CompM CExpr
compileOpGeneral op e1 = do
let unary cop = return @(State CompState) $ CECall cop [e1]
let binary cop = do
name <- genName
emit $ SVarDecl True (repSTy (opt1 op)) name e1
return $ CEBinop (CEProj (CELit name) "a") cop (CEProj (CELit name) "b")
case op of
OAdd _ -> binary "+"
OMul _ -> binary "*"
ONeg _ -> unary "-"
OLt _ -> binary "<"
OLe _ -> binary "<="
OEq _ -> binary "=="
ONot -> unary "!"
OAnd -> binary "&&"
OOr -> binary "||"
OIf -> do
name <- emitStruct (STEither STNil STNil)
_ <- emitStruct STNil
return $ CEIf e1 (CEStruct name [("tag", CELit "0")])
(CEStruct name [("tag", CELit "1")])
ORound64 -> unary "(int64_t)round" -- ew
OToFl64 -> unary "(double)"
ORecip _ -> return $ CEBinop (CELit "1.0") "/" e1
OExp STF32 -> unary "expf"
OExp STF64 -> unary "exp"
OLog STF32 -> unary "logf"
OLog STF64 -> unary "log"
OIDiv _ -> binary "/"
compileOpPair :: SOp a b -> CExpr -> CExpr -> CompM CExpr
compileOpPair op e1 e2 = do
let binary cop = return @(State CompState) $ CEBinop e1 cop e2
case op of
OAdd _ -> binary "+"
OMul _ -> binary "*"
OLt _ -> binary "<"
OLe _ -> binary "<="
OEq _ -> binary "=="
OAnd -> binary "&&"
OOr -> binary "||"
OIDiv _ -> binary "/"
_ -> error "compileOpPair: got unary operator"
compose :: Foldable t => t (a -> a) -> a -> a
compose = foldr (.) id
|