module Data.Data (
module Data.Typeable,
Data(
gfoldl,
gunfold,
toConstr,
dataTypeOf,
dataCast1,
dataCast2,
gmapT,
gmapQ,
gmapQl,
gmapQr,
gmapQi,
gmapM,
gmapMp,
gmapMo
),
DataType,
mkDataType,
mkIntType,
mkFloatType,
mkStringType,
mkCharType,
mkNoRepType,
mkNorepType,
dataTypeName,
DataRep(..),
dataTypeRep,
repConstr,
isAlgType,
dataTypeConstrs,
indexConstr,
maxConstrIndex,
isNorepType,
Constr,
ConIndex,
Fixity(..),
mkConstr,
mkIntConstr,
mkFloatConstr,
mkIntegralConstr,
mkRealConstr,
mkStringConstr,
mkCharConstr,
constrType,
ConstrRep(..),
constrRep,
constrFields,
constrFixity,
constrIndex,
showConstr,
readConstr,
tyconUQname,
tyconModule,
fromConstr,
fromConstrB,
fromConstrM
) where
import Prelude
import Data.Typeable
import Data.Maybe
import Control.Monad
import Data.Int
import Data.Word
#ifdef __GLASGOW_HASKELL__
import GHC.Real( Ratio(..) )
import GHC.Ptr
import GHC.ForeignPtr
import GHC.Arr
#else
# ifdef __HUGS__
import Hugs.Prelude( Ratio(..) )
# endif
import Foreign.Ptr
import Foreign.ForeignPtr
import Data.Array
#endif
#include "Typeable.h"
class Typeable a => Data a where
gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b)
-> (forall g. g -> c g)
-> a
-> c a
gfoldl _ z = z
gunfold :: (forall b r. Data b => c (b -> r) -> c r)
-> (forall r. r -> c r)
-> Constr
-> c a
toConstr :: a -> Constr
dataTypeOf :: a -> DataType
dataCast1 :: Typeable1 t
=> (forall d. Data d => c (t d))
-> Maybe (c a)
dataCast1 _ = Nothing
dataCast2 :: Typeable2 t
=> (forall d e. (Data d, Data e) => c (t d e))
-> Maybe (c a)
dataCast2 _ = Nothing
gmapT :: (forall b. Data b => b -> b) -> a -> a
gmapT f x0 = unID (gfoldl k ID x0)
where
k (ID c) x = ID (c (f x))
gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> a -> r
gmapQl o r f = unCONST . gfoldl k z
where
k c x = CONST $ (unCONST c) `o` f x
z _ = CONST r
gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> a -> r
gmapQr o r0 f x0 = unQr (gfoldl k (const (Qr id)) x0) r0
where
k (Qr c) x = Qr (\r -> c (f x `o` r))
gmapQ :: (forall d. Data d => d -> u) -> a -> [u]
gmapQ f = gmapQr (:) [] f
gmapQi :: Int -> (forall d. Data d => d -> u) -> a -> u
gmapQi i f x = case gfoldl k z x of { Qi _ q -> fromJust q }
where
k (Qi i' q) a = Qi (i'+1) (if i==i' then Just (f a) else q)
z _ = Qi 0 Nothing
gmapM :: Monad m => (forall d. Data d => d -> m d) -> a -> m a
gmapM f = gfoldl k return
where
k c x = do c' <- c
x' <- f x
return (c' x')
gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> a -> m a
gmapMp f x = unMp (gfoldl k z x) >>= \(x',b) ->
if b then return x' else mzero
where
z g = Mp (return (g,False))
k (Mp c) y
= Mp ( c >>= \(h, b) ->
(f y >>= \y' -> return (h y', True))
`mplus` return (h y, b)
)
gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> a -> m a
gmapMo f x = unMp (gfoldl k z x) >>= \(x',b) ->
if b then return x' else mzero
where
z g = Mp (return (g,False))
k (Mp c) y
= Mp ( c >>= \(h,b) -> if b
then return (h y, b)
else (f y >>= \y' -> return (h y',True))
`mplus` return (h y, b)
)
newtype ID x = ID { unID :: x }
newtype CONST c a = CONST { unCONST :: c }
data Qi q a = Qi Int (Maybe q)
newtype Qr r a = Qr { unQr :: r -> r }
newtype Mp m x = Mp { unMp :: m (x, Bool) }
fromConstr :: Data a => Constr -> a
fromConstr = fromConstrB (error "Data.Data.fromConstr")
fromConstrB :: Data a
=> (forall d. Data d => d)
-> Constr
-> a
fromConstrB f = unID . gunfold k z
where
k c = ID (unID c f)
z = ID
fromConstrM :: (Monad m, Data a)
=> (forall d. Data d => m d)
-> Constr
-> m a
fromConstrM f = gunfold k z
where
k c = do { c' <- c; b <- f; return (c' b) }
z = return
data DataType = DataType
{ tycon :: String
, datarep :: DataRep
}
deriving Show
data Constr = Constr
{ conrep :: ConstrRep
, constring :: String
, confields :: [String]
, confixity :: Fixity
, datatype :: DataType
}
instance Show Constr where
show = constring
instance Eq Constr where
c == c' = constrRep c == constrRep c'
data DataRep = AlgRep [Constr]
| IntRep
| FloatRep
| CharRep
| NoRep
deriving (Eq,Show)
data ConstrRep = AlgConstr ConIndex
| IntConstr Integer
| FloatConstr Rational
| CharConstr Char
deriving (Eq,Show)
type ConIndex = Int
data Fixity = Prefix
| Infix
deriving (Eq,Show)
dataTypeName :: DataType -> String
dataTypeName = tycon
dataTypeRep :: DataType -> DataRep
dataTypeRep = datarep
constrType :: Constr -> DataType
constrType = datatype
constrRep :: Constr -> ConstrRep
constrRep = conrep
repConstr :: DataType -> ConstrRep -> Constr
repConstr dt cr =
case (dataTypeRep dt, cr) of
(AlgRep cs, AlgConstr i) -> cs !! (i1)
(IntRep, IntConstr i) -> mkIntConstr dt i
(FloatRep, FloatConstr f) -> mkRealConstr dt f
(CharRep, CharConstr c) -> mkCharConstr dt c
_ -> error "repConstr"
mkDataType :: String -> [Constr] -> DataType
mkDataType str cs = DataType
{ tycon = str
, datarep = AlgRep cs
}
mkConstr :: DataType -> String -> [String] -> Fixity -> Constr
mkConstr dt str fields fix =
Constr
{ conrep = AlgConstr idx
, constring = str
, confields = fields
, confixity = fix
, datatype = dt
}
where
idx = head [ i | (c,i) <- dataTypeConstrs dt `zip` [1..],
showConstr c == str ]
dataTypeConstrs :: DataType -> [Constr]
dataTypeConstrs dt = case datarep dt of
(AlgRep cons) -> cons
_ -> error "dataTypeConstrs"
constrFields :: Constr -> [String]
constrFields = confields
constrFixity :: Constr -> Fixity
constrFixity = confixity
showConstr :: Constr -> String
showConstr = constring
readConstr :: DataType -> String -> Maybe Constr
readConstr dt str =
case dataTypeRep dt of
AlgRep cons -> idx cons
IntRep -> mkReadCon (\i -> (mkPrimCon dt str (IntConstr i)))
FloatRep -> mkReadCon ffloat
CharRep -> mkReadCon (\c -> (mkPrimCon dt str (CharConstr c)))
NoRep -> Nothing
where
mkReadCon :: Read t => (t -> Constr) -> Maybe Constr
mkReadCon f = case (reads str) of
[(t,"")] -> Just (f t)
_ -> Nothing
idx :: [Constr] -> Maybe Constr
idx cons = let fit = filter ((==) str . showConstr) cons
in if fit == []
then Nothing
else Just (head fit)
ffloat :: Double -> Constr
ffloat = mkPrimCon dt str . FloatConstr . toRational
isAlgType :: DataType -> Bool
isAlgType dt = case datarep dt of
(AlgRep _) -> True
_ -> False
indexConstr :: DataType -> ConIndex -> Constr
indexConstr dt idx = case datarep dt of
(AlgRep cs) -> cs !! (idx1)
_ -> error "indexConstr"
constrIndex :: Constr -> ConIndex
constrIndex con = case constrRep con of
(AlgConstr idx) -> idx
_ -> error "constrIndex"
maxConstrIndex :: DataType -> ConIndex
maxConstrIndex dt = case dataTypeRep dt of
AlgRep cs -> length cs
_ -> error "maxConstrIndex"
mkIntType :: String -> DataType
mkIntType = mkPrimType IntRep
mkFloatType :: String -> DataType
mkFloatType = mkPrimType FloatRep
mkStringType :: String -> DataType
mkStringType = mkCharType
mkCharType :: String -> DataType
mkCharType = mkPrimType CharRep
mkPrimType :: DataRep -> String -> DataType
mkPrimType dr str = DataType
{ tycon = str
, datarep = dr
}
mkPrimCon :: DataType -> String -> ConstrRep -> Constr
mkPrimCon dt str cr = Constr
{ datatype = dt
, conrep = cr
, constring = str
, confields = error "constrFields"
, confixity = error "constrFixity"
}
mkIntConstr :: DataType -> Integer -> Constr
mkIntConstr = mkIntegralConstr
mkIntegralConstr :: (Integral a) => DataType -> a -> Constr
mkIntegralConstr dt i = case datarep dt of
IntRep -> mkPrimCon dt (show i) (IntConstr (toInteger i))
_ -> error "mkIntegralConstr"
mkFloatConstr :: DataType -> Double -> Constr
mkFloatConstr dt = mkRealConstr dt . toRational
mkRealConstr :: (Real a) => DataType -> a -> Constr
mkRealConstr dt f = case datarep dt of
FloatRep -> mkPrimCon dt (show f) (FloatConstr (toRational f))
_ -> error "mkRealConstr"
mkStringConstr :: DataType -> String -> Constr
mkStringConstr dt str =
case datarep dt of
CharRep -> case str of
[c] -> mkPrimCon dt (show c) (CharConstr c)
_ -> error "mkStringConstr: input String must contain a single character"
_ -> error "mkStringConstr"
mkCharConstr :: DataType -> Char -> Constr
mkCharConstr dt c = case datarep dt of
CharRep -> mkPrimCon dt (show c) (CharConstr c)
_ -> error "mkCharConstr"
mkNorepType :: String -> DataType
mkNorepType str = DataType
{ tycon = str
, datarep = NoRep
}
mkNoRepType :: String -> DataType
mkNoRepType str = DataType
{ tycon = str
, datarep = NoRep
}
isNorepType :: DataType -> Bool
isNorepType dt = case datarep dt of
NoRep -> True
_ -> False
tyconUQname :: String -> String
tyconUQname x = let x' = dropWhile (not . (==) '.') x
in if x' == [] then x else tyconUQname (tail x')
tyconModule :: String -> String
tyconModule x = let (a,b) = break ((==) '.') x
in if b == ""
then b
else a ++ tyconModule' (tail b)
where
tyconModule' y = let y' = tyconModule y
in if y' == "" then "" else ('.':y')
falseConstr :: Constr
falseConstr = mkConstr boolDataType "False" [] Prefix
trueConstr :: Constr
trueConstr = mkConstr boolDataType "True" [] Prefix
boolDataType :: DataType
boolDataType = mkDataType "Prelude.Bool" [falseConstr,trueConstr]
instance Data Bool where
toConstr False = falseConstr
toConstr True = trueConstr
gunfold _ z c = case constrIndex c of
1 -> z False
2 -> z True
_ -> error "gunfold"
dataTypeOf _ = boolDataType
charType :: DataType
charType = mkCharType "Prelude.Char"
instance Data Char where
toConstr x = mkCharConstr charType x
gunfold _ z c = case constrRep c of
(CharConstr x) -> z x
_ -> error "gunfold"
dataTypeOf _ = charType
floatType :: DataType
floatType = mkFloatType "Prelude.Float"
instance Data Float where
toConstr = mkRealConstr floatType
gunfold _ z c = case constrRep c of
(FloatConstr x) -> z (realToFrac x)
_ -> error "gunfold"
dataTypeOf _ = floatType
doubleType :: DataType
doubleType = mkFloatType "Prelude.Double"
instance Data Double where
toConstr = mkRealConstr doubleType
gunfold _ z c = case constrRep c of
(FloatConstr x) -> z (realToFrac x)
_ -> error "gunfold"
dataTypeOf _ = doubleType
intType :: DataType
intType = mkIntType "Prelude.Int"
instance Data Int where
toConstr x = mkIntConstr intType (fromIntegral x)
gunfold _ z c = case constrRep c of
(IntConstr x) -> z (fromIntegral x)
_ -> error "gunfold"
dataTypeOf _ = intType
integerType :: DataType
integerType = mkIntType "Prelude.Integer"
instance Data Integer where
toConstr = mkIntConstr integerType
gunfold _ z c = case constrRep c of
(IntConstr x) -> z x
_ -> error "gunfold"
dataTypeOf _ = integerType
int8Type :: DataType
int8Type = mkIntType "Data.Int.Int8"
instance Data Int8 where
toConstr x = mkIntConstr int8Type (fromIntegral x)
gunfold _ z c = case constrRep c of
(IntConstr x) -> z (fromIntegral x)
_ -> error "gunfold"
dataTypeOf _ = int8Type
int16Type :: DataType
int16Type = mkIntType "Data.Int.Int16"
instance Data Int16 where
toConstr x = mkIntConstr int16Type (fromIntegral x)
gunfold _ z c = case constrRep c of
(IntConstr x) -> z (fromIntegral x)
_ -> error "gunfold"
dataTypeOf _ = int16Type
int32Type :: DataType
int32Type = mkIntType "Data.Int.Int32"
instance Data Int32 where
toConstr x = mkIntConstr int32Type (fromIntegral x)
gunfold _ z c = case constrRep c of
(IntConstr x) -> z (fromIntegral x)
_ -> error "gunfold"
dataTypeOf _ = int32Type
int64Type :: DataType
int64Type = mkIntType "Data.Int.Int64"
instance Data Int64 where
toConstr x = mkIntConstr int64Type (fromIntegral x)
gunfold _ z c = case constrRep c of
(IntConstr x) -> z (fromIntegral x)
_ -> error "gunfold"
dataTypeOf _ = int64Type
wordType :: DataType
wordType = mkIntType "Data.Word.Word"
instance Data Word where
toConstr x = mkIntConstr wordType (fromIntegral x)
gunfold _ z c = case constrRep c of
(IntConstr x) -> z (fromIntegral x)
_ -> error "gunfold"
dataTypeOf _ = wordType
word8Type :: DataType
word8Type = mkIntType "Data.Word.Word8"
instance Data Word8 where
toConstr x = mkIntConstr word8Type (fromIntegral x)
gunfold _ z c = case constrRep c of
(IntConstr x) -> z (fromIntegral x)
_ -> error "gunfold"
dataTypeOf _ = word8Type
word16Type :: DataType
word16Type = mkIntType "Data.Word.Word16"
instance Data Word16 where
toConstr x = mkIntConstr word16Type (fromIntegral x)
gunfold _ z c = case constrRep c of
(IntConstr x) -> z (fromIntegral x)
_ -> error "gunfold"
dataTypeOf _ = word16Type
word32Type :: DataType
word32Type = mkIntType "Data.Word.Word32"
instance Data Word32 where
toConstr x = mkIntConstr word32Type (fromIntegral x)
gunfold _ z c = case constrRep c of
(IntConstr x) -> z (fromIntegral x)
_ -> error "gunfold"
dataTypeOf _ = word32Type
word64Type :: DataType
word64Type = mkIntType "Data.Word.Word64"
instance Data Word64 where
toConstr x = mkIntConstr word64Type (fromIntegral x)
gunfold _ z c = case constrRep c of
(IntConstr x) -> z (fromIntegral x)
_ -> error "gunfold"
dataTypeOf _ = word64Type
ratioConstr :: Constr
ratioConstr = mkConstr ratioDataType ":%" [] Infix
ratioDataType :: DataType
ratioDataType = mkDataType "GHC.Real.Ratio" [ratioConstr]
instance (Data a, Integral a) => Data (Ratio a) where
gfoldl k z (a :% b) = z (:%) `k` a `k` b
toConstr _ = ratioConstr
gunfold k z c | constrIndex c == 1 = k (k (z (:%)))
gunfold _ _ _ = error "gunfold"
dataTypeOf _ = ratioDataType
nilConstr :: Constr
nilConstr = mkConstr listDataType "[]" [] Prefix
consConstr :: Constr
consConstr = mkConstr listDataType "(:)" [] Infix
listDataType :: DataType
listDataType = mkDataType "Prelude.[]" [nilConstr,consConstr]
instance Data a => Data [a] where
gfoldl _ z [] = z []
gfoldl f z (x:xs) = z (:) `f` x `f` xs
toConstr [] = nilConstr
toConstr (_:_) = consConstr
gunfold k z c = case constrIndex c of
1 -> z []
2 -> k (k (z (:)))
_ -> error "gunfold"
dataTypeOf _ = listDataType
dataCast1 f = gcast1 f
gmapT _ [] = []
gmapT f (x:xs) = (f x:f xs)
gmapQ _ [] = []
gmapQ f (x:xs) = [f x,f xs]
gmapM _ [] = return []
gmapM f (x:xs) = f x >>= \x' -> f xs >>= \xs' -> return (x':xs')
nothingConstr :: Constr
nothingConstr = mkConstr maybeDataType "Nothing" [] Prefix
justConstr :: Constr
justConstr = mkConstr maybeDataType "Just" [] Prefix
maybeDataType :: DataType
maybeDataType = mkDataType "Prelude.Maybe" [nothingConstr,justConstr]
instance Data a => Data (Maybe a) where
gfoldl _ z Nothing = z Nothing
gfoldl f z (Just x) = z Just `f` x
toConstr Nothing = nothingConstr
toConstr (Just _) = justConstr
gunfold k z c = case constrIndex c of
1 -> z Nothing
2 -> k (z Just)
_ -> error "gunfold"
dataTypeOf _ = maybeDataType
dataCast1 f = gcast1 f
ltConstr :: Constr
ltConstr = mkConstr orderingDataType "LT" [] Prefix
eqConstr :: Constr
eqConstr = mkConstr orderingDataType "EQ" [] Prefix
gtConstr :: Constr
gtConstr = mkConstr orderingDataType "GT" [] Prefix
orderingDataType :: DataType
orderingDataType = mkDataType "Prelude.Ordering" [ltConstr,eqConstr,gtConstr]
instance Data Ordering where
gfoldl _ z LT = z LT
gfoldl _ z EQ = z EQ
gfoldl _ z GT = z GT
toConstr LT = ltConstr
toConstr EQ = eqConstr
toConstr GT = gtConstr
gunfold _ z c = case constrIndex c of
1 -> z LT
2 -> z EQ
3 -> z GT
_ -> error "gunfold"
dataTypeOf _ = orderingDataType
leftConstr :: Constr
leftConstr = mkConstr eitherDataType "Left" [] Prefix
rightConstr :: Constr
rightConstr = mkConstr eitherDataType "Right" [] Prefix
eitherDataType :: DataType
eitherDataType = mkDataType "Prelude.Either" [leftConstr,rightConstr]
instance (Data a, Data b) => Data (Either a b) where
gfoldl f z (Left a) = z Left `f` a
gfoldl f z (Right a) = z Right `f` a
toConstr (Left _) = leftConstr
toConstr (Right _) = rightConstr
gunfold k z c = case constrIndex c of
1 -> k (z Left)
2 -> k (z Right)
_ -> error "gunfold"
dataTypeOf _ = eitherDataType
dataCast2 f = gcast2 f
tuple0Constr :: Constr
tuple0Constr = mkConstr tuple0DataType "()" [] Prefix
tuple0DataType :: DataType
tuple0DataType = mkDataType "Prelude.()" [tuple0Constr]
instance Data () where
toConstr () = tuple0Constr
gunfold _ z c | constrIndex c == 1 = z ()
gunfold _ _ _ = error "gunfold"
dataTypeOf _ = tuple0DataType
tuple2Constr :: Constr
tuple2Constr = mkConstr tuple2DataType "(,)" [] Infix
tuple2DataType :: DataType
tuple2DataType = mkDataType "Prelude.(,)" [tuple2Constr]
instance (Data a, Data b) => Data (a,b) where
gfoldl f z (a,b) = z (,) `f` a `f` b
toConstr (_,_) = tuple2Constr
gunfold k z c | constrIndex c == 1 = k (k (z (,)))
gunfold _ _ _ = error "gunfold"
dataTypeOf _ = tuple2DataType
dataCast2 f = gcast2 f
tuple3Constr :: Constr
tuple3Constr = mkConstr tuple3DataType "(,,)" [] Infix
tuple3DataType :: DataType
tuple3DataType = mkDataType "Prelude.(,,)" [tuple3Constr]
instance (Data a, Data b, Data c) => Data (a,b,c) where
gfoldl f z (a,b,c) = z (,,) `f` a `f` b `f` c
toConstr (_,_,_) = tuple3Constr
gunfold k z c | constrIndex c == 1 = k (k (k (z (,,))))
gunfold _ _ _ = error "gunfold"
dataTypeOf _ = tuple3DataType
tuple4Constr :: Constr
tuple4Constr = mkConstr tuple4DataType "(,,,)" [] Infix
tuple4DataType :: DataType
tuple4DataType = mkDataType "Prelude.(,,,)" [tuple4Constr]
instance (Data a, Data b, Data c, Data d)
=> Data (a,b,c,d) where
gfoldl f z (a,b,c,d) = z (,,,) `f` a `f` b `f` c `f` d
toConstr (_,_,_,_) = tuple4Constr
gunfold k z c = case constrIndex c of
1 -> k (k (k (k (z (,,,)))))
_ -> error "gunfold"
dataTypeOf _ = tuple4DataType
tuple5Constr :: Constr
tuple5Constr = mkConstr tuple5DataType "(,,,,)" [] Infix
tuple5DataType :: DataType
tuple5DataType = mkDataType "Prelude.(,,,,)" [tuple5Constr]
instance (Data a, Data b, Data c, Data d, Data e)
=> Data (a,b,c,d,e) where
gfoldl f z (a,b,c,d,e) = z (,,,,) `f` a `f` b `f` c `f` d `f` e
toConstr (_,_,_,_,_) = tuple5Constr
gunfold k z c = case constrIndex c of
1 -> k (k (k (k (k (z (,,,,))))))
_ -> error "gunfold"
dataTypeOf _ = tuple5DataType
tuple6Constr :: Constr
tuple6Constr = mkConstr tuple6DataType "(,,,,,)" [] Infix
tuple6DataType :: DataType
tuple6DataType = mkDataType "Prelude.(,,,,,)" [tuple6Constr]
instance (Data a, Data b, Data c, Data d, Data e, Data f)
=> Data (a,b,c,d,e,f) where
gfoldl f z (a,b,c,d,e,f') = z (,,,,,) `f` a `f` b `f` c `f` d `f` e `f` f'
toConstr (_,_,_,_,_,_) = tuple6Constr
gunfold k z c = case constrIndex c of
1 -> k (k (k (k (k (k (z (,,,,,)))))))
_ -> error "gunfold"
dataTypeOf _ = tuple6DataType
tuple7Constr :: Constr
tuple7Constr = mkConstr tuple7DataType "(,,,,,,)" [] Infix
tuple7DataType :: DataType
tuple7DataType = mkDataType "Prelude.(,,,,,,)" [tuple7Constr]
instance (Data a, Data b, Data c, Data d, Data e, Data f, Data g)
=> Data (a,b,c,d,e,f,g) where
gfoldl f z (a,b,c,d,e,f',g) =
z (,,,,,,) `f` a `f` b `f` c `f` d `f` e `f` f' `f` g
toConstr (_,_,_,_,_,_,_) = tuple7Constr
gunfold k z c = case constrIndex c of
1 -> k (k (k (k (k (k (k (z (,,,,,,))))))))
_ -> error "gunfold"
dataTypeOf _ = tuple7DataType
instance Typeable a => Data (Ptr a) where
toConstr _ = error "toConstr"
gunfold _ _ = error "gunfold"
dataTypeOf _ = mkNoRepType "GHC.Ptr.Ptr"
instance Typeable a => Data (ForeignPtr a) where
toConstr _ = error "toConstr"
gunfold _ _ = error "gunfold"
dataTypeOf _ = mkNoRepType "GHC.ForeignPtr.ForeignPtr"
instance (Typeable a, Data b, Ix a) => Data (Array a b)
where
gfoldl f z a = z (listArray (bounds a)) `f` (elems a)
toConstr _ = error "toConstr"
gunfold _ _ = error "gunfold"
dataTypeOf _ = mkNoRepType "Data.Array.Array"