Safe Haskell	Safe-Inferred
Language	Haskell2010

BasePrelude

Description

Reexports of most of the definitions from the "base" package, which it is a common practice to import unqualified.

For details check out the source.

Synopsis

(++) :: [a] -> [a] -> [a]
seq :: forall {r :: RuntimeRep} a (b :: TYPE r). a -> b -> b
filter :: (a -> Bool) -> [a] -> [a]
zip :: [a] -> [b] -> [(a, b)]
newStablePtr :: a -> IO (StablePtr a)
print :: Show a => a -> IO ()
fst :: (a, b) -> a
snd :: (a, b) -> b
otherwise :: Bool
assert :: Bool -> a -> a
lazy :: a -> a
assertError :: (?callStack :: CallStack) => Bool -> a -> a
trace :: String -> a -> a
inline :: a -> a
map :: (a -> b) -> [a] -> [b]
groupWith :: Ord b => (a -> b) -> [a] -> [[a]]
($) :: forall (r :: RuntimeRep) a (b :: TYPE r). (a -> b) -> a -> b
coerce :: forall {k :: RuntimeRep} (a :: TYPE k) (b :: TYPE k). Coercible a b => a -> b
fromIntegral :: (Integral a, Num b) => a -> b
realToFrac :: (Real a, Fractional b) => a -> b
guard :: Alternative f => Bool -> f ()
class IsList l where
- type Item l
- fromList :: [Item l] -> l
- fromListN :: Int -> [Item l] -> l
- toList :: l -> [Item l]
toDyn :: Typeable a => a -> Dynamic
unsafeEqualityProof :: forall {k} (a :: k) (b :: k). UnsafeEquality a b
unsafeCoerce# :: forall (q :: RuntimeRep) (r :: RuntimeRep) (a :: TYPE q) (b :: TYPE r). a -> b
join :: Monad m => m (m a) -> m a
class Bounded a where
- minBound :: a
- maxBound :: a
class Enum a where
- succ :: a -> a
- pred :: a -> a
- toEnum :: Int -> a
- fromEnum :: a -> Int
- enumFrom :: a -> [a]
- enumFromThen :: a -> a -> [a]
- enumFromTo :: a -> a -> [a]
- enumFromThenTo :: a -> a -> a -> [a]
class Eq a where
- (==) :: a -> a -> Bool
- (/=) :: a -> a -> Bool
class Fractional a => Floating a where
- pi :: a
- exp :: a -> a
- log :: a -> a
- sqrt :: a -> a
- (**) :: a -> a -> a
- logBase :: a -> a -> a
- sin :: a -> a
- cos :: a -> a
- tan :: a -> a
- asin :: a -> a
- acos :: a -> a
- atan :: a -> a
- sinh :: a -> a
- cosh :: a -> a
- tanh :: a -> a
- asinh :: a -> a
- acosh :: a -> a
- atanh :: a -> a
- log1p :: a -> a
- expm1 :: a -> a
- log1pexp :: a -> a
- log1mexp :: a -> a
class Num a => Fractional a where
- (/) :: a -> a -> a
- recip :: a -> a
- fromRational :: Rational -> a
class (Real a, Enum a) => Integral a where
- quot :: a -> a -> a
- rem :: a -> a -> a
- div :: a -> a -> a
- mod :: a -> a -> a
- quotRem :: a -> a -> (a, a)
- divMod :: a -> a -> (a, a)
- toInteger :: a -> Integer
class Applicative m => Monad (m :: Type -> Type) where
- (>>=) :: m a -> (a -> m b) -> m b
- (>>) :: m a -> m b -> m b
- return :: a -> m a
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
- 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 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c a)
- dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c a)
- gmapT :: (forall b. Data b => b -> b) -> a -> a
- gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> a -> r
- gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> a -> r
- gmapQ :: (forall d. Data d => d -> u) -> a -> [u]
- gmapQi :: Int -> (forall d. Data d => d -> u) -> a -> u
- gmapM :: Monad m => (forall d. Data d => d -> m d) -> a -> m a
- gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> a -> m a
- gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> a -> m a
class Functor (f :: Type -> Type) where
- fmap :: (a -> b) -> f a -> f b
- (<$) :: a -> f b -> f a
class Num a where
- (+) :: a -> a -> a
- (-) :: a -> a -> a
- (*) :: a -> a -> a
- negate :: a -> a
- abs :: a -> a
- signum :: a -> a
- fromInteger :: Integer -> a
class Eq a => Ord a where
- compare :: a -> a -> Ordering
- (<) :: a -> a -> Bool
- (<=) :: a -> a -> Bool
- (>) :: a -> a -> Bool
- (>=) :: a -> a -> Bool
- max :: a -> a -> a
- min :: a -> a -> a
class Read a where
- readsPrec :: Int -> ReadS a
- readList :: ReadS [a]
- readPrec :: ReadPrec a
- readListPrec :: ReadPrec [a]
class (Num a, Ord a) => Real a where
- toRational :: a -> Rational
class (RealFrac a, Floating a) => RealFloat a where
- floatRadix :: a -> Integer
- floatDigits :: a -> Int
- floatRange :: a -> (Int, Int)
- decodeFloat :: a -> (Integer, Int)
- encodeFloat :: Integer -> Int -> a
- exponent :: a -> Int
- significand :: a -> a
- scaleFloat :: Int -> a -> a
- isNaN :: a -> Bool
- isInfinite :: a -> Bool
- isDenormalized :: a -> Bool
- isNegativeZero :: a -> Bool
- isIEEE :: a -> Bool
- atan2 :: a -> a -> a
class (Real a, Fractional a) => RealFrac a where
- properFraction :: Integral b => a -> (b, a)
- truncate :: Integral b => a -> b
- round :: Integral b => a -> b
- ceiling :: Integral b => a -> b
- floor :: Integral b => a -> b
class Show a where
- showsPrec :: Int -> a -> ShowS
- show :: a -> String
- showList :: [a] -> ShowS
class Ord a => Ix a where
- range :: (a, a) -> [a]
- index :: (a, a) -> a -> Int
- inRange :: (a, a) -> a -> Bool
- rangeSize :: (a, a) -> Int
class Typeable (a :: k)
class Monad m => MonadFix (m :: Type -> Type) where
- mfix :: (a -> m a) -> m a
class Monad m => MonadFail (m :: Type -> Type) where
- fail :: String -> m a
class IsString a where
- fromString :: String -> a
class Functor f => Applicative (f :: Type -> Type) where
- pure :: a -> f a
- (<*>) :: f (a -> b) -> f a -> f b
- liftA2 :: (a -> b -> c) -> f a -> f b -> f c
- (*>) :: f a -> f b -> f b
- (<*) :: f a -> f b -> f a
class Foldable (t :: TYPE LiftedRep -> Type) where
- fold :: Monoid m => t m -> m
- foldMap :: Monoid m => (a -> m) -> t a -> m
- foldMap' :: Monoid m => (a -> m) -> t a -> m
- foldr :: (a -> b -> b) -> b -> t a -> b
- foldr' :: (a -> b -> b) -> b -> t a -> b
- foldl :: (b -> a -> b) -> b -> t a -> b
- foldl' :: (b -> a -> b) -> b -> t a -> b
- foldr1 :: (a -> a -> a) -> t a -> a
- foldl1 :: (a -> a -> a) -> t a -> a
- null :: t a -> Bool
- length :: t a -> Int
- elem :: Eq a => a -> t a -> Bool
- maximum :: Ord a => t a -> a
- minimum :: Ord a => t a -> a
- sum :: Num a => t a -> a
- product :: Num a => t a -> a
class (Functor t, Foldable t) => Traversable (t :: Type -> Type) where
- traverse :: Applicative f => (a -> f b) -> t a -> f (t b)
- sequenceA :: Applicative f => t (f a) -> f (t a)
- mapM :: Monad m => (a -> m b) -> t a -> m (t b)
- sequence :: Monad m => t (m a) -> m (t a)
class Generic a
class Generic1 (f :: k -> Type)
class Semigroup a where
- (<>) :: a -> a -> a
- sconcat :: NonEmpty a -> a
- stimes :: Integral b => b -> a -> a
class Semigroup a => Monoid a where
- mempty :: a
- mappend :: a -> a -> a
- mconcat :: [a] -> a
class HasField (x :: k) r a | x r -> a where
- getField :: r -> a
data Bool
- = False
- | True
type String = [Char]
data Char
data Double
data Float
data Int
data Int8
data Int16
data Int32
data Int64
data Integer
data Natural
data Maybe a
- = Nothing
- | Just a
data Ordering
- = LT
- | EQ
- | GT
data Ratio a
type Rational = Ratio Integer
data RealWorld
data StablePtr a
data IO a
data Word
data Word8
data Word16
data Word32
data Word64
data Ptr a
data FunPtr a
data Either a b
- = Left a
- | Right b
data NonEmpty a = a :| [a]
class a ~R# b => Coercible (a :: k) (b :: k)
data UnsafeEquality (a :: k) (b :: k) where
- UnsafeRefl :: forall {k} (a :: k). UnsafeEquality a a
data TyCon
newtype Predicate a = Predicate {
- getPredicate :: a -> Bool
}
newtype Op a b = Op {
- getOp :: b -> a
}
newtype Equivalence a = Equivalence {
- getEquivalence :: a -> a -> Bool
}
class Contravariant (f :: Type -> Type) where
- contramap :: (a' -> a) -> f a -> f a'
- (>$) :: b -> f b -> f a
newtype Comparison a = Comparison {
- getComparison :: a -> a -> Ordering
}
phantom :: (Functor f, Contravariant f) => f a -> f b
defaultEquivalence :: Eq a => Equivalence a
defaultComparison :: Ord a => Comparison a
comparisonEquivalence :: Comparison a -> Equivalence a
(>$<) :: Contravariant f => (a -> b) -> f b -> f a
(>$$<) :: Contravariant f => f b -> (a -> b) -> f a
($<) :: Contravariant f => f b -> b -> f a
newtype Compose (f :: k -> Type) (g :: k1 -> k) (a :: k1) = Compose {
- getCompose :: f (g a)
}
class Show2 (f :: TYPE LiftedRep -> TYPE LiftedRep -> TYPE LiftedRep) where
- liftShowsPrec2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> Int -> f a b -> ShowS
- liftShowList2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> [f a b] -> ShowS
class Show1 (f :: TYPE LiftedRep -> TYPE LiftedRep) where
- liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> f a -> ShowS
- liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [f a] -> ShowS
class Read2 (f :: Type -> Type -> Type) where
- liftReadsPrec2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> Int -> ReadS (f a b)
- liftReadList2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [f a b]
- liftReadPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (f a b)
- liftReadListPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [f a b]
class Read1 (f :: Type -> Type) where
- liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (f a)
- liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [f a]
- liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (f a)
- liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [f a]
class Eq2 f => Ord2 (f :: Type -> Type -> Type) where
- liftCompare2 :: (a -> b -> Ordering) -> (c -> d -> Ordering) -> f a c -> f b d -> Ordering
class Eq1 f => Ord1 (f :: Type -> Type) where
- liftCompare :: (a -> b -> Ordering) -> f a -> f b -> Ordering
class Eq2 (f :: Type -> Type -> Type) where
- liftEq2 :: (a -> b -> Bool) -> (c -> d -> Bool) -> f a c -> f b d -> Bool
class Eq1 (f :: Type -> Type) where
- liftEq :: (a -> b -> Bool) -> f a -> f b -> Bool
showsUnaryWith :: (Int -> a -> ShowS) -> String -> Int -> a -> ShowS
showsUnary1 :: (Show1 f, Show a) => String -> Int -> f a -> ShowS
showsUnary :: Show a => String -> Int -> a -> ShowS
showsPrec2 :: (Show2 f, Show a, Show b) => Int -> f a b -> ShowS
showsPrec1 :: (Show1 f, Show a) => Int -> f a -> ShowS
showsBinaryWith :: (Int -> a -> ShowS) -> (Int -> b -> ShowS) -> String -> Int -> a -> b -> ShowS
showsBinary1 :: (Show1 f, Show1 g, Show a) => String -> Int -> f a -> g a -> ShowS
readsUnaryWith :: (Int -> ReadS a) -> String -> (a -> t) -> String -> ReadS t
readsUnary1 :: (Read1 f, Read a) => String -> (f a -> t) -> String -> ReadS t
readsUnary :: Read a => String -> (a -> t) -> String -> ReadS t
readsPrec2 :: (Read2 f, Read a, Read b) => Int -> ReadS (f a b)
readsPrec1 :: (Read1 f, Read a) => Int -> ReadS (f a)
readsData :: (String -> ReadS a) -> Int -> ReadS a
readsBinaryWith :: (Int -> ReadS a) -> (Int -> ReadS b) -> String -> (a -> b -> t) -> String -> ReadS t
readsBinary1 :: (Read1 f, Read1 g, Read a) => String -> (f a -> g a -> t) -> String -> ReadS t
readUnaryWith :: ReadPrec a -> String -> (a -> t) -> ReadPrec t
readPrec2 :: (Read2 f, Read a, Read b) => ReadPrec (f a b)
readPrec1 :: (Read1 f, Read a) => ReadPrec (f a)
readData :: ReadPrec a -> ReadPrec a
readBinaryWith :: ReadPrec a -> ReadPrec b -> String -> (a -> b -> t) -> ReadPrec t
liftReadListPrecDefault :: Read1 f => ReadPrec a -> ReadPrec [a] -> ReadPrec [f a]
liftReadListPrec2Default :: Read2 f => ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [f a b]
liftReadListDefault :: Read1 f => (Int -> ReadS a) -> ReadS [a] -> ReadS [f a]
liftReadList2Default :: Read2 f => (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [f a b]
eq2 :: (Eq2 f, Eq a, Eq b) => f a b -> f a b -> Bool
eq1 :: (Eq1 f, Eq a) => f a -> f a -> Bool
compare2 :: (Ord2 f, Ord a, Ord b) => f a b -> f a b -> Ordering
compare1 :: (Ord1 f, Ord a) => f a -> f a -> Ordering
data Complex a = !a :+ !a
realPart :: Complex a -> a
polar :: RealFloat a => Complex a -> (a, a)
phase :: RealFloat a => Complex a -> a
mkPolar :: Floating a => a -> a -> Complex a
magnitude :: RealFloat a => Complex a -> a
imagPart :: Complex a -> a
conjugate :: Num a => Complex a -> Complex a
cis :: Floating a => a -> Complex a
type Uni = Fixed E0
type Pico = Fixed E12
type Nano = Fixed E9
type Milli = Fixed E3
type Micro = Fixed E6
class HasResolution (a :: k) where
- resolution :: p a -> Integer
newtype Fixed (a :: k) = MkFixed Integer
data E9
data E6
data E3
data E2
data E12
data E1
data E0
type Deci = Fixed E1
type Centi = Fixed E2
showFixed :: forall {k} (a :: k). HasResolution a => Bool -> Fixed a -> String
mod' :: Real a => a -> a -> a
divMod' :: (Real a, Integral b) => a -> a -> (b, a)
div' :: (Real a, Integral b) => a -> a -> b
data Void
vacuous :: Functor f => f Void -> f a
absurd :: Void -> a
newtype WrappedMonoid m = WrapMonoid {
- unwrapMonoid :: m
}
newtype Min a = Min {
- getMin :: a
}
newtype Max a = Max {
- getMax :: a
}
newtype Last a = Last {
- getLast :: a
}
newtype First a = First {
- getFirst :: a
}
type ArgMin a b = Min (Arg a b)
type ArgMax a b = Max (Arg a b)
data Arg a b = Arg a b
mtimesDefault :: (Integral b, Monoid a) => b -> a -> a
diff :: Semigroup m => m -> Endo m
cycle1 :: Semigroup m => m -> m
type family Item l
sortWith :: Ord b => (a -> b) -> [a] -> [a]
data Fixity
- = Prefix
- | Infix
data DataType
data DataRep
- = AlgRep [Constr]
- | IntRep
- | FloatRep
- | CharRep
- | NoRep
data ConstrRep
- = AlgConstr ConIndex
- | IntConstr Integer
- | FloatConstr Rational
- | CharConstr Char
data Constr
type ConIndex = Int
tyconUQname :: String -> String
tyconModule :: String -> String
showConstr :: Constr -> String
repConstr :: DataType -> ConstrRep -> Constr
readConstr :: DataType -> String -> Maybe Constr
mkRealConstr :: (Real a, Show a) => DataType -> a -> Constr
mkNoRepType :: String -> DataType
mkIntegralConstr :: (Integral a, Show a) => DataType -> a -> Constr
mkIntType :: String -> DataType
mkFloatType :: String -> DataType
mkDataType :: String -> [Constr] -> DataType
mkConstrTag :: DataType -> String -> Int -> [String] -> Fixity -> Constr
mkConstr :: DataType -> String -> [String] -> Fixity -> Constr
mkCharType :: String -> DataType
mkCharConstr :: DataType -> Char -> Constr
maxConstrIndex :: DataType -> ConIndex
isNorepType :: DataType -> Bool
isAlgType :: DataType -> Bool
indexConstr :: DataType -> ConIndex -> Constr
fromConstrM :: (Monad m, Data a) => (forall d. Data d => m d) -> Constr -> m a
fromConstrB :: Data a => (forall d. Data d => d) -> Constr -> a
fromConstr :: Data a => Constr -> a
dataTypeRep :: DataType -> DataRep
dataTypeName :: DataType -> String
dataTypeConstrs :: DataType -> [Constr]
constrType :: Constr -> DataType
constrRep :: Constr -> ConstrRep
constrIndex :: Constr -> ConIndex
constrFixity :: Constr -> Fixity
constrFields :: Constr -> [String]
data Timeout
timeout :: Int -> IO a -> IO (Maybe a)
threadWaitWriteSTM :: Fd -> IO (STM (), IO ())
threadWaitWrite :: Fd -> IO ()
threadWaitReadSTM :: Fd -> IO (STM (), IO ())
threadWaitRead :: Fd -> IO ()
runInUnboundThread :: IO a -> IO a
runInBoundThread :: IO a -> IO a
rtsSupportsBoundThreads :: Bool
isCurrentThreadBound :: IO Bool
forkOSWithUnmask :: ((forall a. IO a -> IO a) -> IO ()) -> IO ThreadId
forkOS :: IO () -> IO ThreadId
forkFinally :: IO a -> (Either SomeException a -> IO ()) -> IO ThreadId
data Chan a
writeList2Chan :: Chan a -> [a] -> IO ()
writeChan :: Chan a -> a -> IO ()
readChan :: Chan a -> IO a
newChan :: IO (Chan a)
getChanContents :: Chan a -> IO [a]
dupChan :: Chan a -> IO (Chan a)
data QSem
waitQSem :: QSem -> IO ()
signalQSem :: QSem -> IO ()
newQSem :: Int -> IO QSem
data QSemN
waitQSemN :: QSemN -> Int -> IO ()
signalQSemN :: QSemN -> Int -> IO ()
newQSemN :: Int -> IO QSemN
class Bifunctor (p :: Type -> Type -> Type) where
- bimap :: (a -> b) -> (c -> d) -> p a c -> p b d
- first :: (a -> b) -> p a c -> p b c
- second :: (b -> c) -> p a b -> p a c
class Monad m => MonadIO (m :: Type -> Type) where
- liftIO :: IO a -> m a
approxRational :: RealFrac a => a -> a -> Rational
modifySTRef' :: STRef s a -> (a -> a) -> ST s ()
modifySTRef :: STRef s a -> (a -> a) -> ST s ()
data Unique
newUnique :: IO Unique
hashUnique :: Unique -> Int
class IsLabel (x :: Symbol) a where
- fromLabel :: a
data StableName a
makeStableName :: a -> IO (StableName a)
hashStableName :: StableName a -> Int
eqStableName :: StableName a -> StableName b -> Bool
withProgName :: String -> IO a -> IO a
withArgs :: [String] -> IO a -> IO a
unsetEnv :: String -> IO ()
setEnv :: String -> String -> IO ()
lookupEnv :: String -> IO (Maybe String)
getProgName :: IO String
getEnvironment :: IO [(String, String)]
getEnv :: String -> IO String
getArgs :: IO [String]
getExecutablePath :: IO FilePath
exitWith :: ExitCode -> IO a
exitSuccess :: IO a
exitFailure :: IO a
die :: String -> IO a
performMinorGC :: IO ()
performMajorGC :: IO ()
performGC :: IO ()
printf :: PrintfType r => String -> r
hPrintf :: HPrintfType r => Handle -> String -> r
zipWithM_ :: Applicative m => (a -> b -> m c) -> [a] -> [b] -> m ()
zipWithM :: Applicative m => (a -> b -> m c) -> [a] -> [b] -> m [c]
unless :: Applicative f => Bool -> f () -> f ()
replicateM_ :: Applicative m => Int -> m a -> m ()
replicateM :: Applicative m => Int -> m a -> m [a]
mfilter :: MonadPlus m => (a -> Bool) -> m a -> m a
mapAndUnzipM :: Applicative m => (a -> m (b, c)) -> [a] -> m ([b], [c])
forever :: Applicative f => f a -> f b
foldM_ :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m ()
foldM :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m b
filterM :: Applicative m => (a -> m Bool) -> [a] -> m [a]
(>=>) :: Monad m => (a -> m b) -> (b -> m c) -> a -> m c
(<=<) :: Monad m => (b -> m c) -> (a -> m b) -> a -> m c
(<$!>) :: Monad m => (a -> b) -> m a -> m b
showVersion :: Version -> String
parseVersion :: ReadP Version
traceStack :: String -> a -> a
traceShowM :: (Show a, Applicative f) => a -> f ()
traceShowId :: Show a => a -> a
traceShow :: Show a => a -> b -> b
traceMarkerIO :: String -> IO ()
traceMarker :: String -> a -> a
traceM :: Applicative f => String -> f ()
traceId :: String -> String
traceIO :: String -> IO ()
traceEventIO :: String -> IO ()
traceEvent :: String -> a -> a
putTraceMsg :: String -> IO ()
flushEventLog :: IO ()
isSubsequenceOf :: Eq a => [a] -> [a] -> Bool
mapAccumR :: Traversable t => (s -> a -> (s, b)) -> s -> t a -> (s, t b)
mapAccumL :: Traversable t => (s -> a -> (s, b)) -> s -> t a -> (s, t b)
forM :: (Traversable t, Monad m) => t a -> (a -> m b) -> m (t b)
for :: (Traversable t, Applicative f) => t a -> (a -> f b) -> f (t b)
foldMapDefault :: (Traversable t, Monoid m) => (a -> m) -> t a -> m
fmapDefault :: Traversable t => (a -> b) -> t a -> t b
newtype ZipList a = ZipList {
- getZipList :: [a]
}
newtype WrappedMonad (m :: Type -> Type) a = WrapMonad {
- unwrapMonad :: m a
}
newtype WrappedArrow (a :: Type -> Type -> Type) b c = WrapArrow {
- unwrapArrow :: a b c
}
optional :: Alternative f => f a -> f (Maybe a)
newtype Kleisli (m :: Type -> Type) a b = Kleisli {
- runKleisli :: a -> m b
}
class Arrow a => ArrowZero (a :: TYPE LiftedRep -> TYPE LiftedRep -> Type) where
- zeroArrow :: a b c
class ArrowZero a => ArrowPlus (a :: TYPE LiftedRep -> TYPE LiftedRep -> Type) where
- (<+>) :: a b c -> a b c -> a b c
newtype ArrowMonad (a :: Type -> Type -> Type) b = ArrowMonad (a () b)
class Arrow a => ArrowLoop (a :: TYPE LiftedRep -> TYPE LiftedRep -> Type) where
- loop :: a (b, d) (c, d) -> a b c
class Arrow a => ArrowChoice (a :: TYPE LiftedRep -> TYPE LiftedRep -> Type) where
- left :: a b c -> a (Either b d) (Either c d)
- right :: a b c -> a (Either d b) (Either d c)
- (+++) :: a b c -> a b' c' -> a (Either b b') (Either c c')
- (|||) :: a b d -> a c d -> a (Either b c) d
class Arrow a => ArrowApply (a :: TYPE LiftedRep -> TYPE LiftedRep -> Type) where
- app :: a (a b c, b) c
class Category a => Arrow (a :: TYPE LiftedRep -> TYPE LiftedRep -> Type) where
- arr :: (b -> c) -> a b c
- (***) :: a b c -> a b' c' -> a (b, b') (c, c')
- (&&&) :: a b c -> a b c' -> a b (c, c')
returnA :: Arrow a => a b b
leftApp :: ArrowApply a => a b c -> a (Either b d) (Either c d)
(^>>) :: Arrow a => (b -> c) -> a c d -> a b d
(^<<) :: Arrow a => (c -> d) -> a b c -> a b d
(>>^) :: Arrow a => a b c -> (c -> d) -> a b d
(<<^) :: Arrow a => a c d -> (b -> c) -> a b d
newtype Identity a = Identity {
- runIdentity :: a
}
writeFile :: FilePath -> String -> IO ()
readLn :: Read a => IO a
readIO :: Read a => String -> IO a
readFile' :: FilePath -> IO String
readFile :: FilePath -> IO String
putStrLn :: String -> IO ()
putStr :: String -> IO ()
putChar :: Char -> IO ()
openTempFileWithDefaultPermissions :: FilePath -> String -> IO (FilePath, Handle)
openTempFile :: FilePath -> String -> IO (FilePath, Handle)
openBinaryTempFileWithDefaultPermissions :: FilePath -> String -> IO (FilePath, Handle)
openBinaryTempFile :: FilePath -> String -> IO (FilePath, Handle)
localeEncoding :: TextEncoding
interact :: (String -> String) -> IO ()
hReady :: Handle -> IO Bool
hPrint :: Show a => Handle -> a -> IO ()
getLine :: IO String
getContents' :: IO String
getContents :: IO String
getChar :: IO Char
fixIO :: (a -> IO a) -> IO a
appendFile :: FilePath -> String -> IO ()
data HandlePosn
isEOF :: IO Bool
hTell :: Handle -> IO Integer
hShow :: Handle -> IO String
hSetPosn :: HandlePosn -> IO ()
hSetNewlineMode :: Handle -> NewlineMode -> IO ()
hSetFileSize :: Handle -> Integer -> IO ()
hSetEncoding :: Handle -> TextEncoding -> IO ()
hSetEcho :: Handle -> Bool -> IO ()
hSetBuffering :: Handle -> BufferMode -> IO ()
hSetBinaryMode :: Handle -> Bool -> IO ()
hSeek :: Handle -> SeekMode -> Integer -> IO ()
hLookAhead :: Handle -> IO Char
hIsWritable :: Handle -> IO Bool
hIsTerminalDevice :: Handle -> IO Bool
hIsSeekable :: Handle -> IO Bool
hIsReadable :: Handle -> IO Bool
hIsOpen :: Handle -> IO Bool
hIsEOF :: Handle -> IO Bool
hIsClosed :: Handle -> IO Bool
hGetPosn :: Handle -> IO HandlePosn
hGetEncoding :: Handle -> IO (Maybe TextEncoding)
hGetEcho :: Handle -> IO Bool
hGetBuffering :: Handle -> IO BufferMode
hFileSize :: Handle -> IO Integer
hClose :: Handle -> IO ()
withFile :: FilePath -> IOMode -> (Handle -> IO r) -> IO r
withBinaryFile :: FilePath -> IOMode -> (Handle -> IO r) -> IO r
stdin :: Handle
stderr :: Handle
openFile :: FilePath -> IOMode -> IO Handle
openBinaryFile :: FilePath -> IOMode -> IO Handle
threadDelay :: Int -> IO ()
registerDelay :: Int -> IO (TVar Bool)
ioManagerCapabilitiesChanged :: IO ()
ensureIOManagerIsRunning :: IO ()
closeFdWith :: (Fd -> IO ()) -> Fd -> IO ()
type Signal = CInt
type HandlerFun = ForeignPtr Word8 -> IO ()
setHandler :: Signal -> Maybe (HandlerFun, Dynamic) -> IO (Maybe (HandlerFun, Dynamic))
runHandlers :: ForeignPtr Word8 -> Signal -> IO ()
withMVarMasked :: MVar a -> (a -> IO b) -> IO b
withMVar :: MVar a -> (a -> IO b) -> IO b
swapMVar :: MVar a -> a -> IO a
modifyMVar_ :: MVar a -> (a -> IO a) -> IO ()
modifyMVarMasked_ :: MVar a -> (a -> IO a) -> IO ()
modifyMVarMasked :: MVar a -> (a -> IO (a, b)) -> IO b
modifyMVar :: MVar a -> (a -> IO (a, b)) -> IO b
mkWeakMVar :: MVar a -> IO () -> IO (Weak (MVar a))
addMVarFinalizer :: MVar a -> IO () -> IO ()
hWaitForInput :: Handle -> Int -> IO Bool
hPutStrLn :: Handle -> String -> IO ()
hPutStr :: Handle -> String -> IO ()
hPutChar :: Handle -> Char -> IO ()
hPutBufNonBlocking :: Handle -> Ptr a -> Int -> IO Int
hPutBuf :: Handle -> Ptr a -> Int -> IO ()
hGetLine :: Handle -> IO String
hGetContents' :: Handle -> IO String
hGetContents :: Handle -> IO String
hGetChar :: Handle -> IO Char
hGetBufSome :: Handle -> Ptr a -> Int -> IO Int
hGetBufNonBlocking :: Handle -> Ptr a -> Int -> IO Int
hGetBuf :: Handle -> Ptr a -> Int -> IO Int
utf8_bom :: TextEncoding
utf8 :: TextEncoding
utf32le :: TextEncoding
utf32be :: TextEncoding
utf32 :: TextEncoding
utf16le :: TextEncoding
utf16be :: TextEncoding
utf16 :: TextEncoding
mkTextEncoding :: String -> IO TextEncoding
latin1 :: TextEncoding
char8 :: TextEncoding
unsafeFixIO :: (a -> IO a) -> IO a
data Handler a = Exception e => Handler (e -> IO a)
catches :: IO a -> [Handler a] -> IO a
allowInterrupt :: IO ()
fixST :: (a -> ST s a) -> ST s a
userErrorType :: IOErrorType
tryIOError :: IO a -> IO (Either IOError a)
resourceVanishedErrorType :: IOErrorType
permissionErrorType :: IOErrorType
modifyIOError :: (IOError -> IOError) -> IO a -> IO a
mkIOError :: IOErrorType -> String -> Maybe Handle -> Maybe FilePath -> IOError
isUserErrorType :: IOErrorType -> Bool
isUserError :: IOError -> Bool
isResourceVanishedErrorType :: IOErrorType -> Bool
isResourceVanishedError :: IOError -> Bool
isPermissionErrorType :: IOErrorType -> Bool
isPermissionError :: IOError -> Bool
isIllegalOperationErrorType :: IOErrorType -> Bool
isIllegalOperation :: IOError -> Bool
isFullErrorType :: IOErrorType -> Bool
isFullError :: IOError -> Bool
isEOFErrorType :: IOErrorType -> Bool
isEOFError :: IOError -> Bool
isDoesNotExistErrorType :: IOErrorType -> Bool
isDoesNotExistError :: IOError -> Bool
isAlreadyInUseErrorType :: IOErrorType -> Bool
isAlreadyInUseError :: IOError -> Bool
isAlreadyExistsErrorType :: IOErrorType -> Bool
isAlreadyExistsError :: IOError -> Bool
ioeSetLocation :: IOError -> String -> IOError
ioeSetHandle :: IOError -> Handle -> IOError
ioeSetFileName :: IOError -> FilePath -> IOError
ioeSetErrorType :: IOError -> IOErrorType -> IOError
ioeSetErrorString :: IOError -> String -> IOError
ioeGetLocation :: IOError -> String
ioeGetHandle :: IOError -> Maybe Handle
ioeGetFileName :: IOError -> Maybe FilePath
ioeGetErrorType :: IOError -> IOErrorType
ioeGetErrorString :: IOError -> String
illegalOperationErrorType :: IOErrorType
fullErrorType :: IOErrorType
eofErrorType :: IOErrorType
doesNotExistErrorType :: IOErrorType
catchIOError :: IO a -> (IOError -> IO a) -> IO a
annotateIOError :: IOError -> String -> Maybe Handle -> Maybe FilePath -> IOError
alreadyInUseErrorType :: IOErrorType
alreadyExistsErrorType :: IOErrorType
newtype TypeError = TypeError String
newtype RecUpdError = RecUpdError String
newtype RecSelError = RecSelError String
newtype RecConError = RecConError String
newtype PatternMatchFail = PatternMatchFail String
data NonTermination = NonTermination
newtype NoMethodError = NoMethodError String
data NestedAtomically = NestedAtomically
tryJust :: Exception e => (e -> Maybe b) -> IO a -> IO (Either b a)
try :: Exception e => IO a -> IO (Either e a)
onException :: IO a -> IO b -> IO a
mapException :: (Exception e1, Exception e2) => (e1 -> e2) -> a -> a
handleJust :: Exception e => (e -> Maybe b) -> (b -> IO a) -> IO a -> IO a
handle :: Exception e => (e -> IO a) -> IO a -> IO a
finally :: IO a -> IO b -> IO a
catchJust :: Exception e => (e -> Maybe b) -> IO a -> (b -> IO a) -> IO a
bracket_ :: IO a -> IO b -> IO c -> IO c
bracketOnError :: IO a -> (a -> IO b) -> (a -> IO c) -> IO c
bracket :: IO a -> (a -> IO b) -> (a -> IO c) -> IO c
data ThreadStatus
- = ThreadRunning
- | ThreadFinished
- | ThreadBlocked BlockReason
- | ThreadDied
data ThreadId = ThreadId ThreadId#
data TVar a = TVar (TVar# RealWorld a)
newtype STM a = STM (State# RealWorld -> (# State# RealWorld, a #))
data PrimMVar
data BlockReason
- = BlockedOnMVar
- | BlockedOnBlackHole
- | BlockedOnException
- | BlockedOnSTM
- | BlockedOnForeignCall
- | BlockedOnOther
yield :: IO ()
writeTVar :: TVar a -> a -> STM ()
unsafeIOToSTM :: IO a -> STM a
throwTo :: Exception e => ThreadId -> e -> IO ()
throwSTM :: Exception e => e -> STM a
threadStatus :: ThreadId -> IO ThreadStatus
threadCapability :: ThreadId -> IO (Int, Bool)
setUncaughtExceptionHandler :: (SomeException -> IO ()) -> IO ()
setNumCapabilities :: Int -> IO ()
setAllocationCounter :: Int64 -> IO ()
runSparks :: IO ()
retry :: STM a
reportStackOverflow :: IO ()
reportHeapOverflow :: IO ()
reportError :: SomeException -> IO ()
readTVarIO :: TVar a -> IO a
readTVar :: TVar a -> STM a
pseq :: a -> b -> b
par :: a -> b -> b
numSparks :: IO Int
numCapabilities :: Int
newTVarIO :: a -> IO (TVar a)
newTVar :: a -> STM (TVar a)
newStablePtrPrimMVar :: MVar () -> IO (StablePtr PrimMVar)
myThreadId :: IO ThreadId
mkWeakThreadId :: ThreadId -> IO (Weak ThreadId)
labelThread :: ThreadId -> String -> IO ()
killThread :: ThreadId -> IO ()
getUncaughtExceptionHandler :: IO (SomeException -> IO ())
getNumProcessors :: IO Int
getNumCapabilities :: IO Int
getAllocationCounter :: IO Int64
forkOnWithUnmask :: Int -> ((forall a. IO a -> IO a) -> IO ()) -> IO ThreadId
forkOn :: Int -> IO () -> IO ThreadId
forkIOWithUnmask :: ((forall a. IO a -> IO a) -> IO ()) -> IO ThreadId
forkIO :: IO () -> IO ThreadId
enableAllocationLimit :: IO ()
disableAllocationLimit :: IO ()
childHandler :: SomeException -> IO ()
catchSTM :: Exception e => STM a -> (e -> STM a) -> STM a
atomically :: STM a -> IO a
data Dynamic where
- Dynamic :: forall a. TypeRep a -> a -> Dynamic
fromDynamic :: Typeable a => Dynamic -> Maybe a
fromDyn :: Typeable a => Dynamic -> a -> a
dynTypeRep :: Dynamic -> SomeTypeRep
dynApply :: Dynamic -> Dynamic -> Maybe Dynamic
dynApp :: Dynamic -> Dynamic -> Dynamic
data SomeAsyncException = Exception e => SomeAsyncException e
data IOErrorType
- = AlreadyExists
- | NoSuchThing
- | ResourceBusy
- | ResourceExhausted
- | EOF
- | IllegalOperation
- | PermissionDenied
- | UserError
- | UnsatisfiedConstraints
- | SystemError
- | ProtocolError
- | OtherError
- | InvalidArgument
- | InappropriateType
- | HardwareFault
- | UnsupportedOperation
- | TimeExpired
- | ResourceVanished
- | Interrupted
data FixIOException = FixIOException
data ExitCode
- = ExitSuccess
- | ExitFailure Int
data Deadlock = Deadlock
newtype CompactionFailed = CompactionFailed String
data BlockedIndefinitelyOnSTM = BlockedIndefinitelyOnSTM
data BlockedIndefinitelyOnMVar = BlockedIndefinitelyOnMVar
data AsyncException
- = StackOverflow
- | HeapOverflow
- | ThreadKilled
- | UserInterrupt
newtype AssertionFailed = AssertionFailed String
data ArrayException
- = IndexOutOfBounds String
- | UndefinedElement String
data AllocationLimitExceeded = AllocationLimitExceeded
untangle :: Addr# -> String -> String
stackOverflow :: SomeException
ioException :: IOException -> IO a
ioError :: IOError -> IO a
heapOverflow :: SomeException
cannotCompactPinned :: SomeException
cannotCompactMutable :: SomeException
cannotCompactFunction :: SomeException
blockedIndefinitelyOnSTM :: SomeException
blockedIndefinitelyOnMVar :: SomeException
asyncExceptionToException :: Exception e => e -> SomeException
asyncExceptionFromException :: Exception e => SomeException -> Maybe e
allocationLimitExceeded :: SomeException
hFlush :: Handle -> IO ()
stdout :: Handle
data NewlineMode = NewlineMode {
- inputNL :: Newline
- outputNL :: Newline
}
data Newline
- = LF
- | CRLF
data Handle
data BufferMode
- = NoBuffering
- | LineBuffering
- | BlockBuffering (Maybe Int)
universalNewlineMode :: NewlineMode
noNewlineTranslation :: NewlineMode
nativeNewlineMode :: NewlineMode
nativeNewline :: Newline
data SeekMode
- = AbsoluteSeek
- | RelativeSeek
- | SeekFromEnd
modifyIORef' :: IORef a -> (a -> a) -> IO ()
modifyIORef :: IORef a -> (a -> a) -> IO ()
mkWeakIORef :: IORef a -> IO () -> IO (Weak (IORef a))
atomicWriteIORef :: IORef a -> a -> IO ()
atomicModifyIORef :: IORef a -> (a -> (a, b)) -> IO b
data TextEncoding
newForeignPtrEnv :: FinalizerEnvPtr env a -> Ptr env -> Ptr a -> IO (ForeignPtr a)
newForeignPtr :: FinalizerPtr a -> Ptr a -> IO (ForeignPtr a)
mallocForeignPtrArray0 :: Storable a => Int -> IO (ForeignPtr a)
mallocForeignPtrArray :: Storable a => Int -> IO (ForeignPtr a)
data ForeignPtr a
type FinalizerPtr a = FunPtr (Ptr a -> IO ())
type FinalizerEnvPtr env a = FunPtr (Ptr env -> Ptr a -> IO ())
withForeignPtr :: ForeignPtr a -> (Ptr a -> IO b) -> IO b
touchForeignPtr :: ForeignPtr a -> IO ()
plusForeignPtr :: ForeignPtr a -> Int -> ForeignPtr b
newForeignPtr_ :: Ptr a -> IO (ForeignPtr a)
mallocForeignPtrBytes :: Int -> IO (ForeignPtr a)
mallocForeignPtr :: Storable a => IO (ForeignPtr a)
finalizeForeignPtr :: ForeignPtr a -> IO ()
castForeignPtr :: ForeignPtr a -> ForeignPtr b
addForeignPtrFinalizerEnv :: FinalizerEnvPtr env a -> Ptr env -> ForeignPtr a -> IO ()
addForeignPtrFinalizer :: FinalizerPtr a -> ForeignPtr a -> IO ()
data IORef a
writeIORef :: IORef a -> a -> IO ()
readIORef :: IORef a -> IO a
newIORef :: a -> IO (IORef a)
atomicModifyIORef' :: IORef a -> (a -> (a, b)) -> IO b
data MaskingState
- = Unmasked
- | MaskedInterruptible
- | MaskedUninterruptible
type FilePath = String
uninterruptibleMask_ :: IO a -> IO a
uninterruptibleMask :: ((forall a. IO a -> IO a) -> IO b) -> IO b
throwIO :: Exception e => e -> IO a
stToIO :: ST RealWorld a -> IO a
mask_ :: IO a -> IO a
mask :: ((forall a. IO a -> IO a) -> IO b) -> IO b
interruptible :: IO a -> IO a
getMaskingState :: IO MaskingState
evaluate :: a -> IO a
catch :: Exception e => IO a -> (e -> IO a) -> IO a
data IOException = IOError {
- ioe_handle :: Maybe Handle
- ioe_type :: IOErrorType
- ioe_location :: String
- ioe_description :: String
- ioe_errno :: Maybe CInt
- ioe_filename :: Maybe FilePath
}
type IOError = IOException
userError :: String -> IOError
unsupportedOperation :: IOError
data ErrorCall where
- ErrorCallWithLocation String String
- pattern ErrorCall :: String -> ErrorCall
throw :: forall (r :: RuntimeRep) (a :: TYPE r) e. Exception e => e -> a
class (Typeable e, Show e) => Exception e where
- toException :: e -> SomeException
- fromException :: SomeException -> Maybe e
- displayException :: e -> String
data ArithException
- = Overflow
- | Underflow
- | LossOfPrecision
- | DivideByZero
- | Denormal
- | RatioZeroDenominator
type TypeRep = SomeTypeRep
typeRepTyCon :: TypeRep -> TyCon
typeRepFingerprint :: TypeRep -> Fingerprint
typeRepArgs :: TypeRep -> [TypeRep]
typeRep :: forall {k} proxy (a :: k). Typeable a => proxy a -> TypeRep
typeOf7 :: Typeable t => t a b c d e f g -> TypeRep
typeOf6 :: Typeable t => t a b c d e f -> TypeRep
typeOf5 :: Typeable t => t a b c d e -> TypeRep
typeOf4 :: Typeable t => t a b c d -> TypeRep
typeOf3 :: Typeable t => t a b c -> TypeRep
typeOf2 :: Typeable t => t a b -> TypeRep
typeOf1 :: Typeable t => t a -> TypeRep
typeOf :: Typeable a => a -> TypeRep
splitTyConApp :: TypeRep -> (TyCon, [TypeRep])
showsTypeRep :: TypeRep -> ShowS
rnfTypeRep :: TypeRep -> ()
mkFunTy :: TypeRep -> TypeRep -> TypeRep
gcast2 :: forall {k1} {k2} {k3} c (t :: k2 -> k3 -> k1) (t' :: k2 -> k3 -> k1) (a :: k2) (b :: k3). (Typeable t, Typeable t') => c (t a b) -> Maybe (c (t' a b))
gcast1 :: forall {k1} {k2} c (t :: k2 -> k1) (t' :: k2 -> k1) (a :: k2). (Typeable t, Typeable t') => c (t a) -> Maybe (c (t' a))
gcast :: forall {k} (a :: k) (b :: k) c. (Typeable a, Typeable b) => c a -> Maybe (c b)
funResultTy :: TypeRep -> TypeRep -> Maybe TypeRep
eqT :: forall {k} (a :: k) (b :: k). (Typeable a, Typeable b) => Maybe (a :~: b)
cast :: (Typeable a, Typeable b) => a -> Maybe b
tyConPackage :: TyCon -> String
tyConName :: TyCon -> String
tyConModule :: TyCon -> String
tyConFingerprint :: TyCon -> Fingerprint
trLiftedRep :: TypeRep ('BoxedRep 'Lifted)
rnfTyCon :: TyCon -> ()
newtype Const a (b :: k) = Const {
- getConst :: a
}
traverse_ :: (Foldable t, Applicative f) => (a -> f b) -> t a -> f ()
sequence_ :: (Foldable t, Monad m) => t (m a) -> m ()
sequenceA_ :: (Foldable t, Applicative f) => t (f a) -> f ()
or :: Foldable t => t Bool -> Bool
notElem :: (Foldable t, Eq a) => a -> t a -> Bool
msum :: (Foldable t, MonadPlus m) => t (m a) -> m a
minimumBy :: Foldable t => (a -> a -> Ordering) -> t a -> a
maximumBy :: Foldable t => (a -> a -> Ordering) -> t a -> a
mapM_ :: (Foldable t, Monad m) => (a -> m b) -> t a -> m ()
for_ :: (Foldable t, Applicative f) => t a -> (a -> f b) -> f ()
forM_ :: (Foldable t, Monad m) => t a -> (a -> m b) -> m ()
foldrM :: (Foldable t, Monad m) => (a -> b -> m b) -> b -> t a -> m b
foldlM :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m b
find :: Foldable t => (a -> Bool) -> t a -> Maybe a
concatMap :: Foldable t => (a -> [b]) -> t a -> [b]
concat :: Foldable t => t [a] -> [a]
asum :: (Foldable t, Alternative f) => t (f a) -> f a
any :: Foldable t => (a -> Bool) -> t a -> Bool
and :: Foldable t => t Bool -> Bool
all :: Foldable t => (a -> Bool) -> t a -> Bool
zipWith7 :: (a -> b -> c -> d -> e -> f -> g -> h) -> [a] -> [b] -> [c] -> [d] -> [e] -> [f] -> [g] -> [h]
zipWith6 :: (a -> b -> c -> d -> e -> f -> g) -> [a] -> [b] -> [c] -> [d] -> [e] -> [f] -> [g]
zipWith5 :: (a -> b -> c -> d -> e -> f) -> [a] -> [b] -> [c] -> [d] -> [e] -> [f]
zipWith4 :: (a -> b -> c -> d -> e) -> [a] -> [b] -> [c] -> [d] -> [e]
zip7 :: [a] -> [b] -> [c] -> [d] -> [e] -> [f] -> [g] -> [(a, b, c, d, e, f, g)]
zip6 :: [a] -> [b] -> [c] -> [d] -> [e] -> [f] -> [(a, b, c, d, e, f)]
zip5 :: [a] -> [b] -> [c] -> [d] -> [e] -> [(a, b, c, d, e)]
zip4 :: [a] -> [b] -> [c] -> [d] -> [(a, b, c, d)]
words :: String -> [String]
unzip7 :: [(a, b, c, d, e, f, g)] -> ([a], [b], [c], [d], [e], [f], [g])
unzip6 :: [(a, b, c, d, e, f)] -> ([a], [b], [c], [d], [e], [f])
unzip5 :: [(a, b, c, d, e)] -> ([a], [b], [c], [d], [e])
unzip4 :: [(a, b, c, d)] -> ([a], [b], [c], [d])
unwords :: [String] -> String
unlines :: [String] -> String
unionBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]
union :: Eq a => [a] -> [a] -> [a]
unfoldr :: (b -> Maybe (a, b)) -> b -> [a]
transpose :: [[a]] -> [[a]]
tails :: [a] -> [[a]]
subsequences :: [a] -> [[a]]
stripPrefix :: Eq a => [a] -> [a] -> Maybe [a]
sortOn :: Ord b => (a -> b) -> [a] -> [a]
sortBy :: (a -> a -> Ordering) -> [a] -> [a]
sort :: Ord a => [a] -> [a]
singleton :: a -> [a]
permutations :: [a] -> [[a]]
partition :: (a -> Bool) -> [a] -> ([a], [a])
nubBy :: (a -> a -> Bool) -> [a] -> [a]
nub :: Eq a => [a] -> [a]
lines :: String -> [String]
isSuffixOf :: Eq a => [a] -> [a] -> Bool
isPrefixOf :: Eq a => [a] -> [a] -> Bool
isInfixOf :: Eq a => [a] -> [a] -> Bool
intersperse :: a -> [a] -> [a]
intersectBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]
intersect :: Eq a => [a] -> [a] -> [a]
intercalate :: [a] -> [[a]] -> [a]
insertBy :: (a -> a -> Ordering) -> a -> [a] -> [a]
insert :: Ord a => a -> [a] -> [a]
inits :: [a] -> [[a]]
groupBy :: (a -> a -> Bool) -> [a] -> [[a]]
group :: Eq a => [a] -> [[a]]
genericTake :: Integral i => i -> [a] -> [a]
genericSplitAt :: Integral i => i -> [a] -> ([a], [a])
genericReplicate :: Integral i => i -> a -> [a]
genericLength :: Num i => [a] -> i
genericIndex :: Integral i => [a] -> i -> a
genericDrop :: Integral i => i -> [a] -> [a]
findIndices :: (a -> Bool) -> [a] -> [Int]
findIndex :: (a -> Bool) -> [a] -> Maybe Int
elemIndices :: Eq a => a -> [a] -> [Int]
elemIndex :: Eq a => a -> [a] -> Maybe Int
dropWhileEnd :: (a -> Bool) -> [a] -> [a]
deleteFirstsBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]
deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]
delete :: Eq a => a -> [a] -> [a]
(\\) :: Eq a => [a] -> [a] -> [a]
newtype Ap (f :: k -> Type) (a :: k) = Ap {
- getAp :: f a
}
newtype Sum a = Sum {
- getSum :: a
}
newtype Product a = Product {
- getProduct :: a
}
newtype Endo a = Endo {
- appEndo :: a -> a
}
newtype Dual a = Dual {
- getDual :: a
}
newtype Any = Any {
- getAny :: Bool
}
newtype Alt (f :: k -> Type) (a :: k) = Alt {
- getAlt :: f a
}
newtype All = All {
- getAll :: Bool
}
stimesMonoid :: (Integral b, Monoid a) => b -> a -> a
stimesIdempotent :: Integral b => b -> a -> a
newtype Down a = Down {
- getDown :: a
}
comparing :: Ord a => (b -> a) -> b -> b -> Ordering
clamp :: Ord a => (a, a) -> a -> a
newtype WordPtr = WordPtr Word
newtype IntPtr = IntPtr Int
wordPtrToPtr :: WordPtr -> Ptr a
ptrToWordPtr :: Ptr a -> WordPtr
ptrToIntPtr :: Ptr a -> IntPtr
intPtrToPtr :: IntPtr -> Ptr a
freeHaskellFunPtr :: FunPtr a -> IO ()
class Storable a where
- sizeOf :: a -> Int
- alignment :: a -> Int
- peekElemOff :: Ptr a -> Int -> IO a
- pokeElemOff :: Ptr a -> Int -> a -> IO ()
- peekByteOff :: Ptr b -> Int -> IO a
- pokeByteOff :: Ptr b -> Int -> a -> IO ()
- peek :: Ptr a -> IO a
- poke :: Ptr a -> a -> IO ()
freeStablePtr :: StablePtr a -> IO ()
deRefStablePtr :: StablePtr a -> IO a
castStablePtrToPtr :: StablePtr a -> Ptr ()
castPtrToStablePtr :: Ptr () -> StablePtr a
unsafeCoerceUnlifted :: forall (a :: UnliftedType) (b :: UnliftedType). a -> b
unsafeCoerceAddr :: forall (a :: TYPE 'AddrRep) (b :: TYPE 'AddrRep). a -> b
unsafeCoerce :: a -> b
newtype Xor a = Xor {
- getXor :: a
}
newtype Ior a = Ior {
- getIor :: a
}
newtype Iff a = Iff {
- getIff :: a
}
newtype And a = And {
- getAnd :: a
}
oneBits :: FiniteBits a => a
isSeparator :: Char -> Bool
isNumber :: Char -> Bool
isMark :: Char -> Bool
isLetter :: Char -> Bool
digitToInt :: Char -> Int
reads :: Read a => ReadS a
readMaybe :: Read a => String -> Maybe a
readEither :: Read a => String -> Either String a
read :: Read a => String -> a
rights :: [Either a b] -> [b]
partitionEithers :: [Either a b] -> ([a], [b])
lefts :: [Either a b] -> [a]
isRight :: Either a b -> Bool
isLeft :: Either a b -> Bool
fromRight :: b -> Either a b -> b
fromLeft :: a -> Either a b -> a
either :: (a -> c) -> (b -> c) -> Either a b -> c
data Proxy (t :: k) = Proxy
data KProxy t = KProxy
asProxyTypeOf :: a -> proxy a -> a
class Category (cat :: k -> k -> Type) where
- id :: forall (a :: k). cat a a
- (.) :: forall (b :: k) (c :: k) (a :: k). cat b c -> cat a b -> cat a c
(>>>) :: forall {k} cat (a :: k) (b :: k) (c :: k). Category cat => cat a b -> cat b c -> cat a c
(<<<) :: forall {k} cat (b :: k) (c :: k) (a :: k). Category cat => cat b c -> cat a b -> cat a c
data (a :: k1) :~~: (b :: k2) where
- HRefl :: forall {k1} (a :: k1). a :~~: a
data (a :: k) :~: (b :: k) where
- Refl :: forall {k} (a :: k). a :~: a
data IOMode
- = ReadMode
- | WriteMode
- | AppendMode
- | ReadWriteMode
plusPtr :: Ptr a -> Int -> Ptr b
nullPtr :: Ptr a
nullFunPtr :: FunPtr a
minusPtr :: Ptr a -> Ptr b -> Int
castPtrToFunPtr :: Ptr a -> FunPtr b
castPtr :: Ptr a -> Ptr b
castFunPtrToPtr :: FunPtr a -> Ptr b
castFunPtr :: FunPtr a -> FunPtr b
alignPtr :: Ptr a -> Int -> Ptr a
showOct :: (Integral a, Show a) => a -> ShowS
showIntAtBase :: (Integral a, Show a) => a -> (Int -> Char) -> a -> ShowS
showInt :: Integral a => a -> ShowS
showHex :: (Integral a, Show a) => a -> ShowS
showHFloat :: RealFloat a => a -> ShowS
showGFloatAlt :: RealFloat a => Maybe Int -> a -> ShowS
showGFloat :: RealFloat a => Maybe Int -> a -> ShowS
showFFloatAlt :: RealFloat a => Maybe Int -> a -> ShowS
showFFloat :: RealFloat a => Maybe Int -> a -> ShowS
showEFloat :: RealFloat a => Maybe Int -> a -> ShowS
showBin :: (Integral a, Show a) => a -> ShowS
readSigned :: Real a => ReadS a -> ReadS a
readOct :: (Eq a, Num a) => ReadS a
readInt :: Num a => a -> (Char -> Bool) -> (Char -> Int) -> ReadS a
readHex :: (Eq a, Num a) => ReadS a
readFloat :: RealFrac a => ReadS a
readDec :: (Eq a, Num a) => ReadS a
readBin :: (Eq a, Num a) => ReadS a
readParen :: Bool -> ReadS a -> ReadS a
readLitChar :: ReadS Char
lexLitChar :: ReadS String
lexDigits :: ReadS String
lex :: ReadS String
data ReadPrec a
readS_to_Prec :: (Int -> ReadS a) -> ReadPrec a
readPrec_to_S :: ReadPrec a -> Int -> ReadS a
readPrec_to_P :: ReadPrec a -> Int -> ReadP a
readP_to_Prec :: (Int -> ReadP a) -> ReadPrec a
type ReadS a = String -> [(a, String)]
data ReadP a
readS_to_P :: ReadS a -> ReadP a
readP_to_S :: ReadP a -> ReadS a
showFloat :: RealFloat a => a -> ShowS
fromRat :: RealFloat a => Rational -> a
floatToDigits :: RealFloat a => Integer -> a -> ([Int], Int)
byteSwap64 :: Word64 -> Word64
byteSwap32 :: Word32 -> Word32
byteSwap16 :: Word16 -> Word16
bitReverse8 :: Word8 -> Word8
bitReverse64 :: Word64 -> Word64
bitReverse32 :: Word32 -> Word32
bitReverse16 :: Word16 -> Word16
data GeneralCategory
- = UppercaseLetter
- | LowercaseLetter
- | TitlecaseLetter
- | ModifierLetter
- | OtherLetter
- | NonSpacingMark
- | SpacingCombiningMark
- | EnclosingMark
- | DecimalNumber
- | LetterNumber
- | OtherNumber
- | ConnectorPunctuation
- | DashPunctuation
- | OpenPunctuation
- | ClosePunctuation
- | InitialQuote
- | FinalQuote
- | OtherPunctuation
- | MathSymbol
- | CurrencySymbol
- | ModifierSymbol
- | OtherSymbol
- | Space
- | LineSeparator
- | ParagraphSeparator
- | Control
- | Format
- | Surrogate
- | PrivateUse
- | NotAssigned
toUpper :: Char -> Char
toTitle :: Char -> Char
toLower :: Char -> Char
isUpper :: Char -> Bool
isSymbol :: Char -> Bool
isSpace :: Char -> Bool
isPunctuation :: Char -> Bool
isPrint :: Char -> Bool
isOctDigit :: Char -> Bool
isLower :: Char -> Bool
isLatin1 :: Char -> Bool
isHexDigit :: Char -> Bool
isDigit :: Char -> Bool
isControl :: Char -> Bool
isAsciiUpper :: Char -> Bool
isAsciiLower :: Char -> Bool
isAscii :: Char -> Bool
isAlphaNum :: Char -> Bool
isAlpha :: Char -> Bool
generalCategory :: Char -> GeneralCategory
class Bits b => FiniteBits b where
- finiteBitSize :: b -> Int
- countLeadingZeros :: b -> Int
- countTrailingZeros :: b -> Int
class Eq a => Bits a where
- (.&.) :: a -> a -> a
- (.|.) :: a -> a -> a
- xor :: a -> a -> a
- complement :: a -> a
- shift :: a -> Int -> a
- rotate :: a -> Int -> a
- zeroBits :: a
- bit :: Int -> a
- setBit :: a -> Int -> a
- clearBit :: a -> Int -> a
- complementBit :: a -> Int -> a
- testBit :: a -> Int -> Bool
- bitSizeMaybe :: a -> Maybe Int
- bitSize :: a -> Int
- isSigned :: a -> Bool
- shiftL :: a -> Int -> a
- unsafeShiftL :: a -> Int -> a
- shiftR :: a -> Int -> a
- unsafeShiftR :: a -> Int -> a
- rotateL :: a -> Int -> a
- rotateR :: a -> Int -> a
- popCount :: a -> Int
toIntegralSized :: (Integral a, Integral b, Bits a, Bits b) => a -> Maybe b
testBitDefault :: (Bits a, Num a) => a -> Int -> Bool
popCountDefault :: (Bits a, Num a) => a -> Int
bitDefault :: (Bits a, Num a) => Int -> a
showSigned :: Real a => (a -> ShowS) -> Int -> a -> ShowS
odd :: Integral a => a -> Bool
numerator :: Ratio a -> a
lcm :: Integral a => a -> a -> a
gcd :: Integral a => a -> a -> a
even :: Integral a => a -> Bool
denominator :: Ratio a -> a
(^^) :: (Fractional a, Integral b) => a -> b -> a
(^) :: (Num a, Integral b) => a -> b -> a
(%) :: Integral a => a -> a -> Ratio a
chr :: Int -> Char
data STRef s a
writeSTRef :: STRef s a -> a -> ST s ()
readSTRef :: STRef s a -> ST s a
newSTRef :: a -> ST s (STRef s a)
data ST s a
runST :: (forall s. ST s a) -> a
type ShowS = String -> String
shows :: Show a => a -> ShowS
showString :: String -> ShowS
showParen :: Bool -> ShowS -> ShowS
showLitChar :: Char -> ShowS
showChar :: Char -> ShowS
intToDigit :: Int -> Char
zipWith3 :: (a -> b -> c -> d) -> [a] -> [b] -> [c] -> [d]
zipWith :: (a -> b -> c) -> [a] -> [b] -> [c]
zip3 :: [a] -> [b] -> [c] -> [(a, b, c)]
unzip3 :: [(a, b, c)] -> ([a], [b], [c])
unzip :: [(a, b)] -> ([a], [b])
uncons :: [a] -> Maybe (a, [a])
takeWhile :: (a -> Bool) -> [a] -> [a]
take :: Int -> [a] -> [a]
tail :: [a] -> [a]
splitAt :: Int -> [a] -> ([a], [a])
span :: (a -> Bool) -> [a] -> ([a], [a])
scanr1 :: (a -> a -> a) -> [a] -> [a]
scanr :: (a -> b -> b) -> b -> [a] -> [b]
scanl1 :: (a -> a -> a) -> [a] -> [a]
scanl' :: (b -> a -> b) -> b -> [a] -> [b]
scanl :: (b -> a -> b) -> b -> [a] -> [b]
reverse :: [a] -> [a]
replicate :: Int -> a -> [a]
repeat :: a -> [a]
lookup :: Eq a => a -> [(a, b)] -> Maybe b
last :: [a] -> a
iterate' :: (a -> a) -> a -> [a]
iterate :: (a -> a) -> a -> [a]
init :: [a] -> [a]
head :: [a] -> a
foldl1' :: (a -> a -> a) -> [a] -> a
dropWhile :: (a -> Bool) -> [a] -> [a]
drop :: Int -> [a] -> [a]
cycle :: [a] -> [a]
break :: (a -> Bool) -> [a] -> ([a], [a])
(!!) :: [a] -> Int -> a
maybeToList :: Maybe a -> [a]
maybe :: b -> (a -> b) -> Maybe a -> b
mapMaybe :: (a -> Maybe b) -> [a] -> [b]
listToMaybe :: [a] -> Maybe a
isNothing :: Maybe a -> Bool
isJust :: Maybe a -> Bool
fromMaybe :: a -> Maybe a -> a
fromJust :: HasCallStack => Maybe a -> a
catMaybes :: [Maybe a] -> [a]
bool :: a -> a -> Bool -> a
on :: (b -> b -> c) -> (a -> b) -> a -> a -> c
fix :: (a -> a) -> a
(&) :: a -> (a -> b) -> b
void :: Functor f => f a -> f ()
(<&>) :: Functor f => f a -> (a -> b) -> f b
(<$>) :: Functor f => (a -> b) -> f a -> f b
($>) :: Functor f => f a -> b -> f b
uncurry :: (a -> b -> c) -> (a, b) -> c
swap :: (a, b) -> (b, a)
curry :: ((a, b) -> c) -> a -> b -> c
data Version = Version {
- versionBranch :: [Int]
- versionTags :: [String]
}
makeVersion :: [Int] -> Version
unsafePerformIO :: IO a -> a
unsafeInterleaveIO :: IO a -> IO a
unsafeDupablePerformIO :: IO a -> a
data MVar a
tryTakeMVar :: MVar a -> IO (Maybe a)
tryReadMVar :: MVar a -> IO (Maybe a)
tryPutMVar :: MVar a -> a -> IO Bool
takeMVar :: MVar a -> IO a
readMVar :: MVar a -> IO a
putMVar :: MVar a -> a -> IO ()
newMVar :: a -> IO (MVar a)
newEmptyMVar :: IO (MVar a)
isEmptyMVar :: MVar a -> IO Bool
subtract :: Num a => a -> a -> a
class (Alternative m, Monad m) => MonadPlus (m :: Type -> Type) where
- mzero :: m a
- mplus :: m a -> m a -> m a
class Applicative f => Alternative (f :: Type -> Type) where
- empty :: f a
- (<|>) :: f a -> f a -> f a
- some :: f a -> f [a]
- many :: f a -> f [a]
when :: Applicative f => Bool -> f () -> f ()
until :: (a -> Bool) -> (a -> a) -> a -> a
ord :: Char -> Int
liftM5 :: Monad m => (a1 -> a2 -> a3 -> a4 -> a5 -> r) -> m a1 -> m a2 -> m a3 -> m a4 -> m a5 -> m r
liftM4 :: Monad m => (a1 -> a2 -> a3 -> a4 -> r) -> m a1 -> m a2 -> m a3 -> m a4 -> m r
liftM3 :: Monad m => (a1 -> a2 -> a3 -> r) -> m a1 -> m a2 -> m a3 -> m r
liftM2 :: Monad m => (a1 -> a2 -> r) -> m a1 -> m a2 -> m r
liftM :: Monad m => (a1 -> r) -> m a1 -> m r
liftA3 :: Applicative f => (a -> b -> c -> d) -> f a -> f b -> f c -> f d
liftA :: Applicative f => (a -> b) -> f a -> f b
flip :: (a -> b -> c) -> b -> a -> c
const :: a -> b -> a
asTypeOf :: a -> a -> a
ap :: Monad m => m (a -> b) -> m a -> m b
(=<<) :: Monad m => (a -> m b) -> m a -> m b
(<**>) :: Applicative f => f a -> f (a -> b) -> f b
($!) :: forall (r :: RuntimeRep) a (b :: TYPE r). (a -> b) -> a -> b
undefined :: forall (r :: RuntimeRep) (a :: TYPE r). HasCallStack => a
errorWithoutStackTrace :: forall (r :: RuntimeRep) (a :: TYPE r). [Char] -> a
error :: forall (r :: RuntimeRep) (a :: TYPE r). HasCallStack => [Char] -> a
stimesIdempotentMonoid :: (Integral b, Monoid a) => b -> a -> a
data SomeException = Exception e => SomeException e
(&&) :: Bool -> Bool -> Bool
not :: Bool -> Bool
(||) :: Bool -> Bool -> Bool

Documentation

(++) :: [a] -> [a] -> [a] infixr 5 #

Append two lists, i.e.,

[x1, ..., xm] ++ [y1, ..., yn] == [x1, ..., xm, y1, ..., yn]
[x1, ..., xm] ++ [y1, ...] == [x1, ..., xm, y1, ...]

If the first list is not finite, the result is the first list.

seq :: forall {r :: RuntimeRep} a (b :: TYPE r). a -> b -> b infixr 0 #

The value of seq a b is bottom if a is bottom, and otherwise equal to b. In other words, it evaluates the first argument a to weak head normal form (WHNF). seq is usually introduced to improve performance by avoiding unneeded laziness.

A note on evaluation order: the expression seq a b does not guarantee that a will be evaluated before b. The only guarantee given by seq is that the both a and b will be evaluated before seq returns a value. In particular, this means that b may be evaluated before a. If you need to guarantee a specific order of evaluation, you must use the function pseq from the "parallel" package.

filter :: (a -> Bool) -> [a] -> [a] #

$\mathcal{O}(n)$. filter, applied to a predicate and a list, returns the list of those elements that satisfy the predicate; i.e.,

filter p xs = [ x | x <- xs, p x]

>>> filter odd [1, 2, 3]
[1,3]

zip :: [a] -> [b] -> [(a, b)] #

$\mathcal{O}(\min(m,n))$. zip takes two lists and returns a list of corresponding pairs.

>>> zip [1, 2] ['a', 'b']
[(1,'a'),(2,'b')]

If one input list is shorter than the other, excess elements of the longer list are discarded, even if one of the lists is infinite:

>>> zip [1] ['a', 'b']
[(1,'a')]
>>> zip [1, 2] ['a']
[(1,'a')]
>>> zip [] [1..]
[]
>>> zip [1..] []
[]

zip is right-lazy:

>>> zip [] undefined
[]
>>> zip undefined []
*** Exception: Prelude.undefined
...

zip is capable of list fusion, but it is restricted to its first list argument and its resulting list.

newStablePtr :: a -> IO (StablePtr a) #

Create a stable pointer referring to the given Haskell value.

print :: Show a => a -> IO () #

The print function outputs a value of any printable type to the standard output device. Printable types are those that are instances of class Show; print converts values to strings for output using the show operation and adds a newline.

For example, a program to print the first 20 integers and their powers of 2 could be written as:

main = print ([(n, 2^n) | n <- [0..19]])

fst :: (a, b) -> a #

Extract the first component of a pair.

snd :: (a, b) -> b #

Extract the second component of a pair.

otherwise :: Bool #

otherwise is defined as the value True. It helps to make guards more readable. eg.

 f x | x < 0     = ...
     | otherwise = ...

assert :: Bool -> a -> a #

If the first argument evaluates to True, then the result is the second argument. Otherwise an AssertionFailed exception is raised, containing a String with the source file and line number of the call to assert.

Assertions can normally be turned on or off with a compiler flag (for GHC, assertions are normally on unless optimisation is turned on with -O or the -fignore-asserts option is given). When assertions are turned off, the first argument to assert is ignored, and the second argument is returned as the result.

lazy :: a -> a #

The lazy function restrains strictness analysis a little. The call lazy e means the same as e, but lazy has a magical property so far as strictness analysis is concerned: it is lazy in its first argument, even though its semantics is strict. After strictness analysis has run, calls to lazy are inlined to be the identity function.

This behaviour is occasionally useful when controlling evaluation order. Notably, lazy is used in the library definition of par:

par :: a -> b -> b
par x y = case (par# x) of _ -> lazy y

If lazy were not lazy, par would look strict in y which would defeat the whole purpose of par.

assertError :: (?callStack :: CallStack) => Bool -> a -> a #

trace :: String -> a -> a #

The trace function outputs the trace message given as its first argument, before returning the second argument as its result.

For example, this returns the value of f x and outputs the message to stderr. Depending on your terminal (settings), they may or may not be mixed.

>>> let x = 123; f = show
>>> trace ("calling f with x = " ++ show x) (f x)
calling f with x = 123
"123"

The trace function should only be used for debugging, or for monitoring execution. The function is not referentially transparent: its type indicates that it is a pure function but it has the side effect of outputting the trace message.

inline :: a -> a #

The call inline f arranges that f is inlined, regardless of its size. More precisely, the call inline f rewrites to the right-hand side of f's definition. This allows the programmer to control inlining from a particular call site rather than the definition site of the function (c.f. INLINE pragmas).

This inlining occurs regardless of the argument to the call or the size of f's definition; it is unconditional. The main caveat is that f's definition must be visible to the compiler; it is therefore recommended to mark the function with an INLINABLE pragma at its definition so that GHC guarantees to record its unfolding regardless of size.

If no inlining takes place, the inline function expands to the identity function in Phase zero, so its use imposes no overhead.

map :: (a -> b) -> [a] -> [b] #

$\mathcal{O}(n)$. map f xs is the list obtained by applying f to each element of xs, i.e.,

map f [x1, x2, ..., xn] == [f x1, f x2, ..., f xn]
map f [x1, x2, ...] == [f x1, f x2, ...]

>>> map (+1) [1, 2, 3]
[2,3,4]

groupWith :: Ord b => (a -> b) -> [a] -> [[a]] #

The groupWith function uses the user supplied function which projects an element out of every list element in order to first sort the input list and then to form groups by equality on these projected elements

($) :: forall (r :: RuntimeRep) a (b :: TYPE r). (a -> b) -> a -> b infixr 0 #

Application operator. This operator is redundant, since ordinary application (f x) means the same as (f $ x). However, $ has low, right-associative binding precedence, so it sometimes allows parentheses to be omitted; for example:

f $ g $ h x  =  f (g (h x))

It is also useful in higher-order situations, such as map ($ 0) xs, or zipWith ($) fs xs.

Note that ($) is levity-polymorphic in its result type, so that foo $ True where foo :: Bool -> Int# is well-typed.

coerce :: forall {k :: RuntimeRep} (a :: TYPE k) (b :: TYPE k). Coercible a b => a -> b #

The function coerce allows you to safely convert between values of types that have the same representation with no run-time overhead. In the simplest case you can use it instead of a newtype constructor, to go from the newtype's concrete type to the abstract type. But it also works in more complicated settings, e.g. converting a list of newtypes to a list of concrete types.

This function is runtime-representation polymorphic, but the RuntimeRep type argument is marked as Inferred, meaning that it is not available for visible type application. This means the typechecker will accept coerce @Int @Age 42.

fromIntegral :: (Integral a, Num b) => a -> b #

general coercion from integral types

realToFrac :: (Real a, Fractional b) => a -> b #

general coercion to fractional types

guard :: Alternative f => Bool -> f () #

Conditional failure of Alternative computations. Defined by

guard True  = pure ()
guard False = empty

Examples

Expand

Common uses of guard include conditionally signaling an error in an error monad and conditionally rejecting the current choice in an Alternative-based parser.

As an example of signaling an error in the error monad Maybe, consider a safe division function safeDiv x y that returns Nothing when the denominator y is zero and Just (x `div` y) otherwise. For example:

>>> safeDiv 4 0
Nothing

>>> safeDiv 4 2
Just 2

A definition of safeDiv using guards, but not guard:

safeDiv :: Int -> Int -> Maybe Int
safeDiv x y | y /= 0    = Just (x `div` y)
            | otherwise = Nothing

A definition of safeDiv using guard and Monad do-notation:

safeDiv :: Int -> Int -> Maybe Int
safeDiv x y = do
  guard (y /= 0)
  return (x `div` y)

class IsList l where #

The IsList class and its methods are intended to be used in conjunction with the OverloadedLists extension.

Since: base-4.7.0.0

Minimal complete definition

fromList, toList

Associated Types

type Item l #

The Item type function returns the type of items of the structure l.

Methods

fromList :: [Item l] -> l #

The fromList function constructs the structure l from the given list of Item l

fromListN :: Int -> [Item l] -> l #

The fromListN function takes the input list's length and potentially uses it to construct the structure l more efficiently compared to fromList. If the given number does not equal to the input list's length the behaviour of fromListN is not specified.

fromListN (length xs) xs == fromList xs

toList :: l -> [Item l] #

The toList function extracts a list of Item l from the structure l. It should satisfy fromList . toList = id.

Instances

Instances details

IsList Version	Since: base-4.8.0.0
Instance details Defined in GHC.Exts Associated Types type Item Version # Methods fromList :: [Item Version] -> Version # fromListN :: Int -> [Item Version] -> Version # toList :: Version -> [Item Version] #
IsList CallStack	Be aware that 'fromList . toList = id' only for unfrozen `CallStack`s, since `toList` removes frozenness information. Since: base-4.9.0.0
Instance details Defined in GHC.Exts Associated Types type Item CallStack # Methods fromList :: [Item CallStack] -> CallStack # fromListN :: Int -> [Item CallStack] -> CallStack # toList :: CallStack -> [Item CallStack] #
IsList (ZipList a)	Since: base-4.15.0.0
Instance details Defined in GHC.Exts Associated Types type Item (ZipList a) # Methods fromList :: [Item (ZipList a)] -> ZipList a # fromListN :: Int -> [Item (ZipList a)] -> ZipList a # toList :: ZipList a -> [Item (ZipList a)] #
IsList (NonEmpty a)	Since: base-4.9.0.0
Instance details Defined in GHC.Exts Associated Types type Item (NonEmpty a) # Methods fromList :: [Item (NonEmpty a)] -> NonEmpty a # fromListN :: Int -> [Item (NonEmpty a)] -> NonEmpty a # toList :: NonEmpty a -> [Item (NonEmpty a)] #
IsList [a]	Since: base-4.7.0.0
Instance details Defined in GHC.Exts Associated Types type Item [a] # Methods fromList :: [Item [a]] -> [a] # fromListN :: Int -> [Item [a]] -> [a] # toList :: [a] -> [Item [a]] #

toDyn :: Typeable a => a -> Dynamic #

Converts an arbitrary value into an object of type Dynamic.

The type of the object must be an instance of Typeable, which ensures that only monomorphically-typed objects may be converted to Dynamic. To convert a polymorphic object into Dynamic, give it a monomorphic type signature. For example:

   toDyn (id :: Int -> Int)

unsafeEqualityProof :: forall {k} (a :: k) (b :: k). UnsafeEquality a b #

unsafeCoerce# :: forall (q :: RuntimeRep) (r :: RuntimeRep) (a :: TYPE q) (b :: TYPE r). a -> b #

Highly, terribly dangerous coercion from one representation type to another. Misuse of this function can invite the garbage collector to trounce upon your data and then laugh in your face. You don't want this function. Really.

join :: Monad m => m (m a) -> m a #

The join function is the conventional monad join operator. It is used to remove one level of monadic structure, projecting its bound argument into the outer level.

'join bss' can be understood as the do expression

do bs <- bss
   bs

Examples

Expand

A common use of join is to run an IO computation returned from an STM transaction, since STM transactions can't perform IO directly. Recall that

atomically :: STM a -> IO a

is used to run STM transactions atomically. So, by specializing the types of atomically and join to

atomically :: STM (IO b) -> IO (IO b)
join       :: IO (IO b)  -> IO b

we can compose them as

join . atomically :: STM (IO b) -> IO b

to run an STM transaction and the IO action it returns.

class Bounded a where #

The Bounded class is used to name the upper and lower limits of a type. Ord is not a superclass of Bounded since types that are not totally ordered may also have upper and lower bounds.

The Bounded class may be derived for any enumeration type; minBound is the first constructor listed in the data declaration and maxBound is the last. Bounded may also be derived for single-constructor datatypes whose constituent types are in Bounded.

Methods

minBound :: a #

maxBound :: a #

Instances

Instances details

Bounded All	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods minBound :: All # maxBound :: All #
Bounded Any	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods minBound :: Any # maxBound :: Any #
Bounded CBool
Instance details Defined in Foreign.C.Types Methods minBound :: CBool # maxBound :: CBool #
Bounded CChar
Instance details Defined in Foreign.C.Types Methods minBound :: CChar # maxBound :: CChar #
Bounded CInt
Instance details Defined in Foreign.C.Types Methods minBound :: CInt # maxBound :: CInt #
Bounded CIntMax
Instance details Defined in Foreign.C.Types Methods minBound :: CIntMax # maxBound :: CIntMax #
Bounded CIntPtr
Instance details Defined in Foreign.C.Types Methods minBound :: CIntPtr # maxBound :: CIntPtr #
Bounded CLLong
Instance details Defined in Foreign.C.Types Methods minBound :: CLLong # maxBound :: CLLong #
Bounded CLong
Instance details Defined in Foreign.C.Types Methods minBound :: CLong # maxBound :: CLong #
Bounded CPtrdiff
Instance details Defined in Foreign.C.Types Methods minBound :: CPtrdiff # maxBound :: CPtrdiff #
Bounded CSChar
Instance details Defined in Foreign.C.Types Methods minBound :: CSChar # maxBound :: CSChar #
Bounded CShort
Instance details Defined in Foreign.C.Types Methods minBound :: CShort # maxBound :: CShort #
Bounded CSigAtomic
Instance details Defined in Foreign.C.Types Methods minBound :: CSigAtomic # maxBound :: CSigAtomic #
Bounded CSize
Instance details Defined in Foreign.C.Types Methods minBound :: CSize # maxBound :: CSize #
Bounded CUChar
Instance details Defined in Foreign.C.Types Methods minBound :: CUChar # maxBound :: CUChar #
Bounded CUInt
Instance details Defined in Foreign.C.Types Methods minBound :: CUInt # maxBound :: CUInt #
Bounded CUIntMax
Instance details Defined in Foreign.C.Types Methods minBound :: CUIntMax # maxBound :: CUIntMax #
Bounded CUIntPtr
Instance details Defined in Foreign.C.Types Methods minBound :: CUIntPtr # maxBound :: CUIntPtr #
Bounded CULLong
Instance details Defined in Foreign.C.Types Methods minBound :: CULLong # maxBound :: CULLong #
Bounded CULong
Instance details Defined in Foreign.C.Types Methods minBound :: CULong # maxBound :: CULong #
Bounded CUShort
Instance details Defined in Foreign.C.Types Methods minBound :: CUShort # maxBound :: CUShort #
Bounded CWchar
Instance details Defined in Foreign.C.Types Methods minBound :: CWchar # maxBound :: CWchar #
Bounded IntPtr
Instance details Defined in Foreign.Ptr Methods minBound :: IntPtr # maxBound :: IntPtr #
Bounded WordPtr
Instance details Defined in Foreign.Ptr Methods minBound :: WordPtr # maxBound :: WordPtr #
Bounded Associativity	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods minBound :: Associativity # maxBound :: Associativity #
Bounded DecidedStrictness	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods minBound :: DecidedStrictness # maxBound :: DecidedStrictness #
Bounded SourceStrictness	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods minBound :: SourceStrictness # maxBound :: SourceStrictness #
Bounded SourceUnpackedness	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods minBound :: SourceUnpackedness # maxBound :: SourceUnpackedness #
Bounded Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods minBound :: Int16 # maxBound :: Int16 #
Bounded Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods minBound :: Int32 # maxBound :: Int32 #
Bounded Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods minBound :: Int64 # maxBound :: Int64 #
Bounded Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods minBound :: Int8 # maxBound :: Int8 #
Bounded GeneralCategory	Since: base-2.1
Instance details Defined in GHC.Unicode Methods minBound :: GeneralCategory # maxBound :: GeneralCategory #
Bounded Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods minBound :: Word16 # maxBound :: Word16 #
Bounded Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods minBound :: Word32 # maxBound :: Word32 #
Bounded Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods minBound :: Word64 # maxBound :: Word64 #
Bounded Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods minBound :: Word8 # maxBound :: Word8 #
Bounded CBlkCnt
Instance details Defined in System.Posix.Types Methods minBound :: CBlkCnt # maxBound :: CBlkCnt #
Bounded CBlkSize
Instance details Defined in System.Posix.Types Methods minBound :: CBlkSize # maxBound :: CBlkSize #
Bounded CClockId
Instance details Defined in System.Posix.Types Methods minBound :: CClockId # maxBound :: CClockId #
Bounded CDev
Instance details Defined in System.Posix.Types Methods minBound :: CDev # maxBound :: CDev #
Bounded CFsBlkCnt
Instance details Defined in System.Posix.Types Methods minBound :: CFsBlkCnt # maxBound :: CFsBlkCnt #
Bounded CFsFilCnt
Instance details Defined in System.Posix.Types Methods minBound :: CFsFilCnt # maxBound :: CFsFilCnt #
Bounded CGid
Instance details Defined in System.Posix.Types Methods minBound :: CGid # maxBound :: CGid #
Bounded CId
Instance details Defined in System.Posix.Types Methods minBound :: CId # maxBound :: CId #
Bounded CIno
Instance details Defined in System.Posix.Types Methods minBound :: CIno # maxBound :: CIno #
Bounded CKey
Instance details Defined in System.Posix.Types Methods minBound :: CKey # maxBound :: CKey #
Bounded CMode
Instance details Defined in System.Posix.Types Methods minBound :: CMode # maxBound :: CMode #
Bounded CNfds
Instance details Defined in System.Posix.Types Methods minBound :: CNfds # maxBound :: CNfds #
Bounded CNlink
Instance details Defined in System.Posix.Types Methods minBound :: CNlink # maxBound :: CNlink #
Bounded COff
Instance details Defined in System.Posix.Types Methods minBound :: COff # maxBound :: COff #
Bounded CPid
Instance details Defined in System.Posix.Types Methods minBound :: CPid # maxBound :: CPid #
Bounded CRLim
Instance details Defined in System.Posix.Types Methods minBound :: CRLim # maxBound :: CRLim #
Bounded CSocklen
Instance details Defined in System.Posix.Types Methods minBound :: CSocklen # maxBound :: CSocklen #
Bounded CSsize
Instance details Defined in System.Posix.Types Methods minBound :: CSsize # maxBound :: CSsize #
Bounded CTcflag
Instance details Defined in System.Posix.Types Methods minBound :: CTcflag # maxBound :: CTcflag #
Bounded CUid
Instance details Defined in System.Posix.Types Methods minBound :: CUid # maxBound :: CUid #
Bounded Fd
Instance details Defined in System.Posix.Types Methods minBound :: Fd # maxBound :: Fd #
Bounded Ordering	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: Ordering # maxBound :: Ordering #
Bounded ()	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: () # maxBound :: () #
Bounded Bool	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: Bool # maxBound :: Bool #
Bounded Char	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: Char # maxBound :: Char #
Bounded Int	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: Int # maxBound :: Int #
Bounded Levity	Since: base-4.16.0.0
Instance details Defined in GHC.Enum Methods minBound :: Levity # maxBound :: Levity #
Bounded VecCount	Since: base-4.10.0.0
Instance details Defined in GHC.Enum Methods minBound :: VecCount # maxBound :: VecCount #
Bounded VecElem	Since: base-4.10.0.0
Instance details Defined in GHC.Enum Methods minBound :: VecElem # maxBound :: VecElem #
Bounded Word	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: Word # maxBound :: Word #
Bounded a => Bounded (And a)	Since: base-4.16
Instance details Defined in Data.Bits Methods minBound :: And a # maxBound :: And a #
Bounded a => Bounded (Iff a)	Since: base-4.16
Instance details Defined in Data.Bits Methods minBound :: Iff a # maxBound :: Iff a #
Bounded a => Bounded (Ior a)	Since: base-4.16
Instance details Defined in Data.Bits Methods minBound :: Ior a # maxBound :: Ior a #
Bounded a => Bounded (Xor a)	Since: base-4.16
Instance details Defined in Data.Bits Methods minBound :: Xor a # maxBound :: Xor a #
Bounded a => Bounded (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods minBound :: Identity a # maxBound :: Identity a #
Bounded a => Bounded (Down a)	Swaps `minBound` and `maxBound` of the underlying type. Since: base-4.14.0.0
Instance details Defined in Data.Ord Methods minBound :: Down a # maxBound :: Down a #
Bounded a => Bounded (First a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods minBound :: First a # maxBound :: First a #
Bounded a => Bounded (Last a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods minBound :: Last a # maxBound :: Last a #
Bounded a => Bounded (Max a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods minBound :: Max a # maxBound :: Max a #
Bounded a => Bounded (Min a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods minBound :: Min a # maxBound :: Min a #
Bounded m => Bounded (WrappedMonoid m)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods minBound :: WrappedMonoid m # maxBound :: WrappedMonoid m #
Bounded a => Bounded (Dual a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods minBound :: Dual a # maxBound :: Dual a #
Bounded a => Bounded (Product a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods minBound :: Product a # maxBound :: Product a #
Bounded a => Bounded (Sum a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods minBound :: Sum a # maxBound :: Sum a #
Bounded a => Bounded (a)
Instance details Defined in GHC.Enum Methods minBound :: (a) # maxBound :: (a) #
Bounded (Proxy t)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods minBound :: Proxy t # maxBound :: Proxy t #
(Bounded a, Bounded b) => Bounded (a, b)	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: (a, b) # maxBound :: (a, b) #
Bounded a => Bounded (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods minBound :: Const a b # maxBound :: Const a b #
(Applicative f, Bounded a) => Bounded (Ap f a)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid Methods minBound :: Ap f a # maxBound :: Ap f a #
a ~ b => Bounded (a :~: b)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Equality Methods minBound :: a :~: b # maxBound :: a :~: b #
(Bounded a, Bounded b, Bounded c) => Bounded (a, b, c)	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: (a, b, c) # maxBound :: (a, b, c) #
a ~~ b => Bounded (a :~~: b)	Since: base-4.10.0.0
Instance details Defined in Data.Type.Equality Methods minBound :: a :~~: b # maxBound :: a :~~: b #
(Bounded a, Bounded b, Bounded c, Bounded d) => Bounded (a, b, c, d)	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: (a, b, c, d) # maxBound :: (a, b, c, d) #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e) => Bounded (a, b, c, d, e)	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: (a, b, c, d, e) # maxBound :: (a, b, c, d, e) #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f) => Bounded (a, b, c, d, e, f)	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: (a, b, c, d, e, f) # maxBound :: (a, b, c, d, e, f) #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g) => Bounded (a, b, c, d, e, f, g)	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: (a, b, c, d, e, f, g) # maxBound :: (a, b, c, d, e, f, g) #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h) => Bounded (a, b, c, d, e, f, g, h)	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: (a, b, c, d, e, f, g, h) # maxBound :: (a, b, c, d, e, f, g, h) #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i) => Bounded (a, b, c, d, e, f, g, h, i)	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: (a, b, c, d, e, f, g, h, i) # maxBound :: (a, b, c, d, e, f, g, h, i) #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j) => Bounded (a, b, c, d, e, f, g, h, i, j)	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: (a, b, c, d, e, f, g, h, i, j) # maxBound :: (a, b, c, d, e, f, g, h, i, j) #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k) => Bounded (a, b, c, d, e, f, g, h, i, j, k)	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: (a, b, c, d, e, f, g, h, i, j, k) # maxBound :: (a, b, c, d, e, f, g, h, i, j, k) #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k, Bounded l) => Bounded (a, b, c, d, e, f, g, h, i, j, k, l)	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: (a, b, c, d, e, f, g, h, i, j, k, l) # maxBound :: (a, b, c, d, e, f, g, h, i, j, k, l) #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k, Bounded l, Bounded m) => Bounded (a, b, c, d, e, f, g, h, i, j, k, l, m)	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m) # maxBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m) #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k, Bounded l, Bounded m, Bounded n) => Bounded (a, b, c, d, e, f, g, h, i, j, k, l, m, n)	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) # maxBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k, Bounded l, Bounded m, Bounded n, Bounded o) => Bounded (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) # maxBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) #

class Enum a where #

Class Enum defines operations on sequentially ordered types.

The enumFrom... methods are used in Haskell's translation of arithmetic sequences.

Instances of Enum may be derived for any enumeration type (types whose constructors have no fields). The nullary constructors are assumed to be numbered left-to-right by fromEnum from 0 through n-1. See Chapter 10 of the Haskell Report for more details.

For any type that is an instance of class Bounded as well as Enum, the following should hold:

The calls succ maxBound and pred minBound should result in a runtime error.
fromEnum and toEnum should give a runtime error if the result value is not representable in the result type. For example, toEnum 7 :: Bool is an error.
enumFrom and enumFromThen should be defined with an implicit bound, thus:

   enumFrom     x   = enumFromTo     x maxBound
   enumFromThen x y = enumFromThenTo x y bound
     where
       bound | fromEnum y >= fromEnum x = maxBound
             | otherwise                = minBound

Minimal complete definition

toEnum, fromEnum

Methods

succ :: a -> a #

the successor of a value. For numeric types, succ adds 1.

pred :: a -> a #

the predecessor of a value. For numeric types, pred subtracts 1.

toEnum :: Int -> a #

Convert from an Int.

fromEnum :: a -> Int #

Convert to an Int. It is implementation-dependent what fromEnum returns when applied to a value that is too large to fit in an Int.

enumFrom :: a -> [a] #

Used in Haskell's translation of [n..] with [n..] = enumFrom n, a possible implementation being enumFrom n = n : enumFrom (succ n). For example:

```
enumFrom 4 :: [Integer] = [4,5,6,7,...]
```

enumFrom 6 :: [Int] = [6,7,8,9,...,maxBound :: Int]

enumFromThen :: a -> a -> [a] #

Used in Haskell's translation of [n,n'..] with [n,n'..] = enumFromThen n n', a possible implementation being enumFromThen n n' = n : n' : worker (f x) (f x n'), worker s v = v : worker s (s v), x = fromEnum n' - fromEnum n and f n y | n > 0 = f (n - 1) (succ y) | n < 0 = f (n + 1) (pred y) | otherwise = y For example:

enumFromThen 4 6 :: [Integer] = [4,6,8,10...]

enumFromThen 6 2 :: [Int] = [6,2,-2,-6,...,minBound :: Int]

enumFromTo :: a -> a -> [a] #

Used in Haskell's translation of [n..m] with [n..m] = enumFromTo n m, a possible implementation being enumFromTo n m | n <= m = n : enumFromTo (succ n) m | otherwise = []. For example:

```
enumFromTo 6 10 :: [Int] = [6,7,8,9,10]
```
```
enumFromTo 42 1 :: [Integer] = []
```

enumFromThenTo :: a -> a -> a -> [a] #

Used in Haskell's translation of [n,n'..m] with [n,n'..m] = enumFromThenTo n n' m, a possible implementation being enumFromThenTo n n' m = worker (f x) (c x) n m, x = fromEnum n' - fromEnum n, c x = bool (>=) ((x 0) f n y | n > 0 = f (n - 1) (succ y) | n < 0 = f (n + 1) (pred y) | otherwise = y and worker s c v m | c v m = v : worker s c (s v) m | otherwise = [] For example:

enumFromThenTo 4 2 -6 :: [Integer] = [4,2,0,-2,-4,-6]

```
enumFromThenTo 6 8 2 :: [Int] = []
```

Instances

Instances details

Enum CBool
Instance details Defined in Foreign.C.Types Methods succ :: CBool -> CBool # pred :: CBool -> CBool # toEnum :: Int -> CBool # fromEnum :: CBool -> Int # enumFrom :: CBool -> [CBool] # enumFromThen :: CBool -> CBool -> [CBool] # enumFromTo :: CBool -> CBool -> [CBool] # enumFromThenTo :: CBool -> CBool -> CBool -> [CBool] #
Enum CChar
Instance details Defined in Foreign.C.Types Methods succ :: CChar -> CChar # pred :: CChar -> CChar # toEnum :: Int -> CChar # fromEnum :: CChar -> Int # enumFrom :: CChar -> [CChar] # enumFromThen :: CChar -> CChar -> [CChar] # enumFromTo :: CChar -> CChar -> [CChar] # enumFromThenTo :: CChar -> CChar -> CChar -> [CChar] #
Enum CClock
Instance details Defined in Foreign.C.Types Methods succ :: CClock -> CClock # pred :: CClock -> CClock # toEnum :: Int -> CClock # fromEnum :: CClock -> Int # enumFrom :: CClock -> [CClock] # enumFromThen :: CClock -> CClock -> [CClock] # enumFromTo :: CClock -> CClock -> [CClock] # enumFromThenTo :: CClock -> CClock -> CClock -> [CClock] #
Enum CDouble
Instance details Defined in Foreign.C.Types Methods succ :: CDouble -> CDouble # pred :: CDouble -> CDouble # toEnum :: Int -> CDouble # fromEnum :: CDouble -> Int # enumFrom :: CDouble -> [CDouble] # enumFromThen :: CDouble -> CDouble -> [CDouble] # enumFromTo :: CDouble -> CDouble -> [CDouble] # enumFromThenTo :: CDouble -> CDouble -> CDouble -> [CDouble] #
Enum CFloat
Instance details Defined in Foreign.C.Types Methods succ :: CFloat -> CFloat # pred :: CFloat -> CFloat # toEnum :: Int -> CFloat # fromEnum :: CFloat -> Int # enumFrom :: CFloat -> [CFloat] # enumFromThen :: CFloat -> CFloat -> [CFloat] # enumFromTo :: CFloat -> CFloat -> [CFloat] # enumFromThenTo :: CFloat -> CFloat -> CFloat -> [CFloat] #
Enum CInt
Instance details Defined in Foreign.C.Types Methods succ :: CInt -> CInt # pred :: CInt -> CInt # toEnum :: Int -> CInt # fromEnum :: CInt -> Int # enumFrom :: CInt -> [CInt] # enumFromThen :: CInt -> CInt -> [CInt] # enumFromTo :: CInt -> CInt -> [CInt] # enumFromThenTo :: CInt -> CInt -> CInt -> [CInt] #
Enum CIntMax
Instance details Defined in Foreign.C.Types Methods succ :: CIntMax -> CIntMax # pred :: CIntMax -> CIntMax # toEnum :: Int -> CIntMax # fromEnum :: CIntMax -> Int # enumFrom :: CIntMax -> [CIntMax] # enumFromThen :: CIntMax -> CIntMax -> [CIntMax] # enumFromTo :: CIntMax -> CIntMax -> [CIntMax] # enumFromThenTo :: CIntMax -> CIntMax -> CIntMax -> [CIntMax] #
Enum CIntPtr
Instance details Defined in Foreign.C.Types Methods succ :: CIntPtr -> CIntPtr # pred :: CIntPtr -> CIntPtr # toEnum :: Int -> CIntPtr # fromEnum :: CIntPtr -> Int # enumFrom :: CIntPtr -> [CIntPtr] # enumFromThen :: CIntPtr -> CIntPtr -> [CIntPtr] # enumFromTo :: CIntPtr -> CIntPtr -> [CIntPtr] # enumFromThenTo :: CIntPtr -> CIntPtr -> CIntPtr -> [CIntPtr] #
Enum CLLong
Instance details Defined in Foreign.C.Types Methods succ :: CLLong -> CLLong # pred :: CLLong -> CLLong # toEnum :: Int -> CLLong # fromEnum :: CLLong -> Int # enumFrom :: CLLong -> [CLLong] # enumFromThen :: CLLong -> CLLong -> [CLLong] # enumFromTo :: CLLong -> CLLong -> [CLLong] # enumFromThenTo :: CLLong -> CLLong -> CLLong -> [CLLong] #
Enum CLong
Instance details Defined in Foreign.C.Types Methods succ :: CLong -> CLong # pred :: CLong -> CLong # toEnum :: Int -> CLong # fromEnum :: CLong -> Int # enumFrom :: CLong -> [CLong] # enumFromThen :: CLong -> CLong -> [CLong] # enumFromTo :: CLong -> CLong -> [CLong] # enumFromThenTo :: CLong -> CLong -> CLong -> [CLong] #
Enum CPtrdiff
Instance details Defined in Foreign.C.Types Methods succ :: CPtrdiff -> CPtrdiff # pred :: CPtrdiff -> CPtrdiff # toEnum :: Int -> CPtrdiff # fromEnum :: CPtrdiff -> Int # enumFrom :: CPtrdiff -> [CPtrdiff] # enumFromThen :: CPtrdiff -> CPtrdiff -> [CPtrdiff] # enumFromTo :: CPtrdiff -> CPtrdiff -> [CPtrdiff] # enumFromThenTo :: CPtrdiff -> CPtrdiff -> CPtrdiff -> [CPtrdiff] #
Enum CSChar
Instance details Defined in Foreign.C.Types Methods succ :: CSChar -> CSChar # pred :: CSChar -> CSChar # toEnum :: Int -> CSChar # fromEnum :: CSChar -> Int # enumFrom :: CSChar -> [CSChar] # enumFromThen :: CSChar -> CSChar -> [CSChar] # enumFromTo :: CSChar -> CSChar -> [CSChar] # enumFromThenTo :: CSChar -> CSChar -> CSChar -> [CSChar] #
Enum CSUSeconds
Instance details Defined in Foreign.C.Types Methods succ :: CSUSeconds -> CSUSeconds # pred :: CSUSeconds -> CSUSeconds # toEnum :: Int -> CSUSeconds # fromEnum :: CSUSeconds -> Int # enumFrom :: CSUSeconds -> [CSUSeconds] # enumFromThen :: CSUSeconds -> CSUSeconds -> [CSUSeconds] # enumFromTo :: CSUSeconds -> CSUSeconds -> [CSUSeconds] # enumFromThenTo :: CSUSeconds -> CSUSeconds -> CSUSeconds -> [CSUSeconds] #
Enum CShort
Instance details Defined in Foreign.C.Types Methods succ :: CShort -> CShort # pred :: CShort -> CShort # toEnum :: Int -> CShort # fromEnum :: CShort -> Int # enumFrom :: CShort -> [CShort] # enumFromThen :: CShort -> CShort -> [CShort] # enumFromTo :: CShort -> CShort -> [CShort] # enumFromThenTo :: CShort -> CShort -> CShort -> [CShort] #
Enum CSigAtomic
Instance details Defined in Foreign.C.Types Methods succ :: CSigAtomic -> CSigAtomic # pred :: CSigAtomic -> CSigAtomic # toEnum :: Int -> CSigAtomic # fromEnum :: CSigAtomic -> Int # enumFrom :: CSigAtomic -> [CSigAtomic] # enumFromThen :: CSigAtomic -> CSigAtomic -> [CSigAtomic] # enumFromTo :: CSigAtomic -> CSigAtomic -> [CSigAtomic] # enumFromThenTo :: CSigAtomic -> CSigAtomic -> CSigAtomic -> [CSigAtomic] #
Enum CSize
Instance details Defined in Foreign.C.Types Methods succ :: CSize -> CSize # pred :: CSize -> CSize # toEnum :: Int -> CSize # fromEnum :: CSize -> Int # enumFrom :: CSize -> [CSize] # enumFromThen :: CSize -> CSize -> [CSize] # enumFromTo :: CSize -> CSize -> [CSize] # enumFromThenTo :: CSize -> CSize -> CSize -> [CSize] #
Enum CTime
Instance details Defined in Foreign.C.Types Methods succ :: CTime -> CTime # pred :: CTime -> CTime # toEnum :: Int -> CTime # fromEnum :: CTime -> Int # enumFrom :: CTime -> [CTime] # enumFromThen :: CTime -> CTime -> [CTime] # enumFromTo :: CTime -> CTime -> [CTime] # enumFromThenTo :: CTime -> CTime -> CTime -> [CTime] #
Enum CUChar
Instance details Defined in Foreign.C.Types Methods succ :: CUChar -> CUChar # pred :: CUChar -> CUChar # toEnum :: Int -> CUChar # fromEnum :: CUChar -> Int # enumFrom :: CUChar -> [CUChar] # enumFromThen :: CUChar -> CUChar -> [CUChar] # enumFromTo :: CUChar -> CUChar -> [CUChar] # enumFromThenTo :: CUChar -> CUChar -> CUChar -> [CUChar] #
Enum CUInt
Instance details Defined in Foreign.C.Types Methods succ :: CUInt -> CUInt # pred :: CUInt -> CUInt # toEnum :: Int -> CUInt # fromEnum :: CUInt -> Int # enumFrom :: CUInt -> [CUInt] # enumFromThen :: CUInt -> CUInt -> [CUInt] # enumFromTo :: CUInt -> CUInt -> [CUInt] # enumFromThenTo :: CUInt -> CUInt -> CUInt -> [CUInt] #
Enum CUIntMax
Instance details Defined in Foreign.C.Types Methods succ :: CUIntMax -> CUIntMax # pred :: CUIntMax -> CUIntMax # toEnum :: Int -> CUIntMax # fromEnum :: CUIntMax -> Int # enumFrom :: CUIntMax -> [CUIntMax] # enumFromThen :: CUIntMax -> CUIntMax -> [CUIntMax] # enumFromTo :: CUIntMax -> CUIntMax -> [CUIntMax] # enumFromThenTo :: CUIntMax -> CUIntMax -> CUIntMax -> [CUIntMax] #
Enum CUIntPtr
Instance details Defined in Foreign.C.Types Methods succ :: CUIntPtr -> CUIntPtr # pred :: CUIntPtr -> CUIntPtr # toEnum :: Int -> CUIntPtr # fromEnum :: CUIntPtr -> Int # enumFrom :: CUIntPtr -> [CUIntPtr] # enumFromThen :: CUIntPtr -> CUIntPtr -> [CUIntPtr] # enumFromTo :: CUIntPtr -> CUIntPtr -> [CUIntPtr] # enumFromThenTo :: CUIntPtr -> CUIntPtr -> CUIntPtr -> [CUIntPtr] #
Enum CULLong
Instance details Defined in Foreign.C.Types Methods succ :: CULLong -> CULLong # pred :: CULLong -> CULLong # toEnum :: Int -> CULLong # fromEnum :: CULLong -> Int # enumFrom :: CULLong -> [CULLong] # enumFromThen :: CULLong -> CULLong -> [CULLong] # enumFromTo :: CULLong -> CULLong -> [CULLong] # enumFromThenTo :: CULLong -> CULLong -> CULLong -> [CULLong] #
Enum CULong
Instance details Defined in Foreign.C.Types Methods succ :: CULong -> CULong # pred :: CULong -> CULong # toEnum :: Int -> CULong # fromEnum :: CULong -> Int # enumFrom :: CULong -> [CULong] # enumFromThen :: CULong -> CULong -> [CULong] # enumFromTo :: CULong -> CULong -> [CULong] # enumFromThenTo :: CULong -> CULong -> CULong -> [CULong] #
Enum CUSeconds
Instance details Defined in Foreign.C.Types Methods succ :: CUSeconds -> CUSeconds # pred :: CUSeconds -> CUSeconds # toEnum :: Int -> CUSeconds # fromEnum :: CUSeconds -> Int # enumFrom :: CUSeconds -> [CUSeconds] # enumFromThen :: CUSeconds -> CUSeconds -> [CUSeconds] # enumFromTo :: CUSeconds -> CUSeconds -> [CUSeconds] # enumFromThenTo :: CUSeconds -> CUSeconds -> CUSeconds -> [CUSeconds] #
Enum CUShort
Instance details Defined in Foreign.C.Types Methods succ :: CUShort -> CUShort # pred :: CUShort -> CUShort # toEnum :: Int -> CUShort # fromEnum :: CUShort -> Int # enumFrom :: CUShort -> [CUShort] # enumFromThen :: CUShort -> CUShort -> [CUShort] # enumFromTo :: CUShort -> CUShort -> [CUShort] # enumFromThenTo :: CUShort -> CUShort -> CUShort -> [CUShort] #
Enum CWchar
Instance details Defined in Foreign.C.Types Methods succ :: CWchar -> CWchar # pred :: CWchar -> CWchar # toEnum :: Int -> CWchar # fromEnum :: CWchar -> Int # enumFrom :: CWchar -> [CWchar] # enumFromThen :: CWchar -> CWchar -> [CWchar] # enumFromTo :: CWchar -> CWchar -> [CWchar] # enumFromThenTo :: CWchar -> CWchar -> CWchar -> [CWchar] #
Enum IntPtr
Instance details Defined in Foreign.Ptr Methods succ :: IntPtr -> IntPtr # pred :: IntPtr -> IntPtr # toEnum :: Int -> IntPtr # fromEnum :: IntPtr -> Int # enumFrom :: IntPtr -> [IntPtr] # enumFromThen :: IntPtr -> IntPtr -> [IntPtr] # enumFromTo :: IntPtr -> IntPtr -> [IntPtr] # enumFromThenTo :: IntPtr -> IntPtr -> IntPtr -> [IntPtr] #
Enum WordPtr
Instance details Defined in Foreign.Ptr Methods succ :: WordPtr -> WordPtr # pred :: WordPtr -> WordPtr # toEnum :: Int -> WordPtr # fromEnum :: WordPtr -> Int # enumFrom :: WordPtr -> [WordPtr] # enumFromThen :: WordPtr -> WordPtr -> [WordPtr] # enumFromTo :: WordPtr -> WordPtr -> [WordPtr] # enumFromThenTo :: WordPtr -> WordPtr -> WordPtr -> [WordPtr] #
Enum Associativity	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods succ :: Associativity -> Associativity # pred :: Associativity -> Associativity # toEnum :: Int -> Associativity # fromEnum :: Associativity -> Int # enumFrom :: Associativity -> [Associativity] # enumFromThen :: Associativity -> Associativity -> [Associativity] # enumFromTo :: Associativity -> Associativity -> [Associativity] # enumFromThenTo :: Associativity -> Associativity -> Associativity -> [Associativity] #
Enum DecidedStrictness	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods succ :: DecidedStrictness -> DecidedStrictness # pred :: DecidedStrictness -> DecidedStrictness # toEnum :: Int -> DecidedStrictness # fromEnum :: DecidedStrictness -> Int # enumFrom :: DecidedStrictness -> [DecidedStrictness] # enumFromThen :: DecidedStrictness -> DecidedStrictness -> [DecidedStrictness] # enumFromTo :: DecidedStrictness -> DecidedStrictness -> [DecidedStrictness] # enumFromThenTo :: DecidedStrictness -> DecidedStrictness -> DecidedStrictness -> [DecidedStrictness] #
Enum SourceStrictness	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods succ :: SourceStrictness -> SourceStrictness # pred :: SourceStrictness -> SourceStrictness # toEnum :: Int -> SourceStrictness # fromEnum :: SourceStrictness -> Int # enumFrom :: SourceStrictness -> [SourceStrictness] # enumFromThen :: SourceStrictness -> SourceStrictness -> [SourceStrictness] # enumFromTo :: SourceStrictness -> SourceStrictness -> [SourceStrictness] # enumFromThenTo :: SourceStrictness -> SourceStrictness -> SourceStrictness -> [SourceStrictness] #
Enum SourceUnpackedness	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods succ :: SourceUnpackedness -> SourceUnpackedness # pred :: SourceUnpackedness -> SourceUnpackedness # toEnum :: Int -> SourceUnpackedness # fromEnum :: SourceUnpackedness -> Int # enumFrom :: SourceUnpackedness -> [SourceUnpackedness] # enumFromThen :: SourceUnpackedness -> SourceUnpackedness -> [SourceUnpackedness] # enumFromTo :: SourceUnpackedness -> SourceUnpackedness -> [SourceUnpackedness] # enumFromThenTo :: SourceUnpackedness -> SourceUnpackedness -> SourceUnpackedness -> [SourceUnpackedness] #
Enum SeekMode	Since: base-4.2.0.0
Instance details Defined in GHC.IO.Device Methods succ :: SeekMode -> SeekMode # pred :: SeekMode -> SeekMode # toEnum :: Int -> SeekMode # fromEnum :: SeekMode -> Int # enumFrom :: SeekMode -> [SeekMode] # enumFromThen :: SeekMode -> SeekMode -> [SeekMode] # enumFromTo :: SeekMode -> SeekMode -> [SeekMode] # enumFromThenTo :: SeekMode -> SeekMode -> SeekMode -> [SeekMode] #
Enum IOMode	Since: base-4.2.0.0
Instance details Defined in GHC.IO.IOMode Methods succ :: IOMode -> IOMode # pred :: IOMode -> IOMode # toEnum :: Int -> IOMode # fromEnum :: IOMode -> Int # enumFrom :: IOMode -> [IOMode] # enumFromThen :: IOMode -> IOMode -> [IOMode] # enumFromTo :: IOMode -> IOMode -> [IOMode] # enumFromThenTo :: IOMode -> IOMode -> IOMode -> [IOMode] #
Enum Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods succ :: Int16 -> Int16 # pred :: Int16 -> Int16 # toEnum :: Int -> Int16 # fromEnum :: Int16 -> Int # enumFrom :: Int16 -> [Int16] # enumFromThen :: Int16 -> Int16 -> [Int16] # enumFromTo :: Int16 -> Int16 -> [Int16] # enumFromThenTo :: Int16 -> Int16 -> Int16 -> [Int16] #
Enum Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods succ :: Int32 -> Int32 # pred :: Int32 -> Int32 # toEnum :: Int -> Int32 # fromEnum :: Int32 -> Int # enumFrom :: Int32 -> [Int32] # enumFromThen :: Int32 -> Int32 -> [Int32] # enumFromTo :: Int32 -> Int32 -> [Int32] # enumFromThenTo :: Int32 -> Int32 -> Int32 -> [Int32] #
Enum Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods succ :: Int64 -> Int64 # pred :: Int64 -> Int64 # toEnum :: Int -> Int64 # fromEnum :: Int64 -> Int # enumFrom :: Int64 -> [Int64] # enumFromThen :: Int64 -> Int64 -> [Int64] # enumFromTo :: Int64 -> Int64 -> [Int64] # enumFromThenTo :: Int64 -> Int64 -> Int64 -> [Int64] #
Enum Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods succ :: Int8 -> Int8 # pred :: Int8 -> Int8 # toEnum :: Int -> Int8 # fromEnum :: Int8 -> Int # enumFrom :: Int8 -> [Int8] # enumFromThen :: Int8 -> Int8 -> [Int8] # enumFromTo :: Int8 -> Int8 -> [Int8] # enumFromThenTo :: Int8 -> Int8 -> Int8 -> [Int8] #
Enum GeneralCategory	Since: base-2.1
Instance details Defined in GHC.Unicode Methods succ :: GeneralCategory -> GeneralCategory # pred :: GeneralCategory -> GeneralCategory # toEnum :: Int -> GeneralCategory # fromEnum :: GeneralCategory -> Int # enumFrom :: GeneralCategory -> [GeneralCategory] # enumFromThen :: GeneralCategory -> GeneralCategory -> [GeneralCategory] # enumFromTo :: GeneralCategory -> GeneralCategory -> [GeneralCategory] # enumFromThenTo :: GeneralCategory -> GeneralCategory -> GeneralCategory -> [GeneralCategory] #
Enum Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods succ :: Word16 -> Word16 # pred :: Word16 -> Word16 # toEnum :: Int -> Word16 # fromEnum :: Word16 -> Int # enumFrom :: Word16 -> [Word16] # enumFromThen :: Word16 -> Word16 -> [Word16] # enumFromTo :: Word16 -> Word16 -> [Word16] # enumFromThenTo :: Word16 -> Word16 -> Word16 -> [Word16] #
Enum Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods succ :: Word32 -> Word32 # pred :: Word32 -> Word32 # toEnum :: Int -> Word32 # fromEnum :: Word32 -> Int # enumFrom :: Word32 -> [Word32] # enumFromThen :: Word32 -> Word32 -> [Word32] # enumFromTo :: Word32 -> Word32 -> [Word32] # enumFromThenTo :: Word32 -> Word32 -> Word32 -> [Word32] #
Enum Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods succ :: Word64 -> Word64 # pred :: Word64 -> Word64 # toEnum :: Int -> Word64 # fromEnum :: Word64 -> Int # enumFrom :: Word64 -> [Word64] # enumFromThen :: Word64 -> Word64 -> [Word64] # enumFromTo :: Word64 -> Word64 -> [Word64] # enumFromThenTo :: Word64 -> Word64 -> Word64 -> [Word64] #
Enum Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods succ :: Word8 -> Word8 # pred :: Word8 -> Word8 # toEnum :: Int -> Word8 # fromEnum :: Word8 -> Int # enumFrom :: Word8 -> [Word8] # enumFromThen :: Word8 -> Word8 -> [Word8] # enumFromTo :: Word8 -> Word8 -> [Word8] # enumFromThenTo :: Word8 -> Word8 -> Word8 -> [Word8] #
Enum CBlkCnt
Instance details Defined in System.Posix.Types Methods succ :: CBlkCnt -> CBlkCnt # pred :: CBlkCnt -> CBlkCnt # toEnum :: Int -> CBlkCnt # fromEnum :: CBlkCnt -> Int # enumFrom :: CBlkCnt -> [CBlkCnt] # enumFromThen :: CBlkCnt -> CBlkCnt -> [CBlkCnt] # enumFromTo :: CBlkCnt -> CBlkCnt -> [CBlkCnt] # enumFromThenTo :: CBlkCnt -> CBlkCnt -> CBlkCnt -> [CBlkCnt] #
Enum CBlkSize
Instance details Defined in System.Posix.Types Methods succ :: CBlkSize -> CBlkSize # pred :: CBlkSize -> CBlkSize # toEnum :: Int -> CBlkSize # fromEnum :: CBlkSize -> Int # enumFrom :: CBlkSize -> [CBlkSize] # enumFromThen :: CBlkSize -> CBlkSize -> [CBlkSize] # enumFromTo :: CBlkSize -> CBlkSize -> [CBlkSize] # enumFromThenTo :: CBlkSize -> CBlkSize -> CBlkSize -> [CBlkSize] #
Enum CCc
Instance details Defined in System.Posix.Types Methods succ :: CCc -> CCc # pred :: CCc -> CCc # toEnum :: Int -> CCc # fromEnum :: CCc -> Int # enumFrom :: CCc -> [CCc] # enumFromThen :: CCc -> CCc -> [CCc] # enumFromTo :: CCc -> CCc -> [CCc] # enumFromThenTo :: CCc -> CCc -> CCc -> [CCc] #
Enum CClockId
Instance details Defined in System.Posix.Types Methods succ :: CClockId -> CClockId # pred :: CClockId -> CClockId # toEnum :: Int -> CClockId # fromEnum :: CClockId -> Int # enumFrom :: CClockId -> [CClockId] # enumFromThen :: CClockId -> CClockId -> [CClockId] # enumFromTo :: CClockId -> CClockId -> [CClockId] # enumFromThenTo :: CClockId -> CClockId -> CClockId -> [CClockId] #
Enum CDev
Instance details Defined in System.Posix.Types Methods succ :: CDev -> CDev # pred :: CDev -> CDev # toEnum :: Int -> CDev # fromEnum :: CDev -> Int # enumFrom :: CDev -> [CDev] # enumFromThen :: CDev -> CDev -> [CDev] # enumFromTo :: CDev -> CDev -> [CDev] # enumFromThenTo :: CDev -> CDev -> CDev -> [CDev] #
Enum CFsBlkCnt
Instance details Defined in System.Posix.Types Methods succ :: CFsBlkCnt -> CFsBlkCnt # pred :: CFsBlkCnt -> CFsBlkCnt # toEnum :: Int -> CFsBlkCnt # fromEnum :: CFsBlkCnt -> Int # enumFrom :: CFsBlkCnt -> [CFsBlkCnt] # enumFromThen :: CFsBlkCnt -> CFsBlkCnt -> [CFsBlkCnt] # enumFromTo :: CFsBlkCnt -> CFsBlkCnt -> [CFsBlkCnt] # enumFromThenTo :: CFsBlkCnt -> CFsBlkCnt -> CFsBlkCnt -> [CFsBlkCnt] #
Enum CFsFilCnt
Instance details Defined in System.Posix.Types Methods succ :: CFsFilCnt -> CFsFilCnt # pred :: CFsFilCnt -> CFsFilCnt # toEnum :: Int -> CFsFilCnt # fromEnum :: CFsFilCnt -> Int # enumFrom :: CFsFilCnt -> [CFsFilCnt] # enumFromThen :: CFsFilCnt -> CFsFilCnt -> [CFsFilCnt] # enumFromTo :: CFsFilCnt -> CFsFilCnt -> [CFsFilCnt] # enumFromThenTo :: CFsFilCnt -> CFsFilCnt -> CFsFilCnt -> [CFsFilCnt] #
Enum CGid
Instance details Defined in System.Posix.Types Methods succ :: CGid -> CGid # pred :: CGid -> CGid # toEnum :: Int -> CGid # fromEnum :: CGid -> Int # enumFrom :: CGid -> [CGid] # enumFromThen :: CGid -> CGid -> [CGid] # enumFromTo :: CGid -> CGid -> [CGid] # enumFromThenTo :: CGid -> CGid -> CGid -> [CGid] #
Enum CId
Instance details Defined in System.Posix.Types Methods succ :: CId -> CId # pred :: CId -> CId # toEnum :: Int -> CId # fromEnum :: CId -> Int # enumFrom :: CId -> [CId] # enumFromThen :: CId -> CId -> [CId] # enumFromTo :: CId -> CId -> [CId] # enumFromThenTo :: CId -> CId -> CId -> [CId] #
Enum CIno
Instance details Defined in System.Posix.Types Methods succ :: CIno -> CIno # pred :: CIno -> CIno # toEnum :: Int -> CIno # fromEnum :: CIno -> Int # enumFrom :: CIno -> [CIno] # enumFromThen :: CIno -> CIno -> [CIno] # enumFromTo :: CIno -> CIno -> [CIno] # enumFromThenTo :: CIno -> CIno -> CIno -> [CIno] #
Enum CKey
Instance details Defined in System.Posix.Types Methods succ :: CKey -> CKey # pred :: CKey -> CKey # toEnum :: Int -> CKey # fromEnum :: CKey -> Int # enumFrom :: CKey -> [CKey] # enumFromThen :: CKey -> CKey -> [CKey] # enumFromTo :: CKey -> CKey -> [CKey] # enumFromThenTo :: CKey -> CKey -> CKey -> [CKey] #
Enum CMode
Instance details Defined in System.Posix.Types Methods succ :: CMode -> CMode # pred :: CMode -> CMode # toEnum :: Int -> CMode # fromEnum :: CMode -> Int # enumFrom :: CMode -> [CMode] # enumFromThen :: CMode -> CMode -> [CMode] # enumFromTo :: CMode -> CMode -> [CMode] # enumFromThenTo :: CMode -> CMode -> CMode -> [CMode] #
Enum CNfds
Instance details Defined in System.Posix.Types Methods succ :: CNfds -> CNfds # pred :: CNfds -> CNfds # toEnum :: Int -> CNfds # fromEnum :: CNfds -> Int # enumFrom :: CNfds -> [CNfds] # enumFromThen :: CNfds -> CNfds -> [CNfds] # enumFromTo :: CNfds -> CNfds -> [CNfds] # enumFromThenTo :: CNfds -> CNfds -> CNfds -> [CNfds] #
Enum CNlink
Instance details Defined in System.Posix.Types Methods succ :: CNlink -> CNlink # pred :: CNlink -> CNlink # toEnum :: Int -> CNlink # fromEnum :: CNlink -> Int # enumFrom :: CNlink -> [CNlink] # enumFromThen :: CNlink -> CNlink -> [CNlink] # enumFromTo :: CNlink -> CNlink -> [CNlink] # enumFromThenTo :: CNlink -> CNlink -> CNlink -> [CNlink] #
Enum COff
Instance details Defined in System.Posix.Types Methods succ :: COff -> COff # pred :: COff -> COff # toEnum :: Int -> COff # fromEnum :: COff -> Int # enumFrom :: COff -> [COff] # enumFromThen :: COff -> COff -> [COff] # enumFromTo :: COff -> COff -> [COff] # enumFromThenTo :: COff -> COff -> COff -> [COff] #
Enum CPid
Instance details Defined in System.Posix.Types Methods succ :: CPid -> CPid # pred :: CPid -> CPid # toEnum :: Int -> CPid # fromEnum :: CPid -> Int # enumFrom :: CPid -> [CPid] # enumFromThen :: CPid -> CPid -> [CPid] # enumFromTo :: CPid -> CPid -> [CPid] # enumFromThenTo :: CPid -> CPid -> CPid -> [CPid] #
Enum CRLim
Instance details Defined in System.Posix.Types Methods succ :: CRLim -> CRLim # pred :: CRLim -> CRLim # toEnum :: Int -> CRLim # fromEnum :: CRLim -> Int # enumFrom :: CRLim -> [CRLim] # enumFromThen :: CRLim -> CRLim -> [CRLim] # enumFromTo :: CRLim -> CRLim -> [CRLim] # enumFromThenTo :: CRLim -> CRLim -> CRLim -> [CRLim] #
Enum CSocklen
Instance details Defined in System.Posix.Types Methods succ :: CSocklen -> CSocklen # pred :: CSocklen -> CSocklen # toEnum :: Int -> CSocklen # fromEnum :: CSocklen -> Int # enumFrom :: CSocklen -> [CSocklen] # enumFromThen :: CSocklen -> CSocklen -> [CSocklen] # enumFromTo :: CSocklen -> CSocklen -> [CSocklen] # enumFromThenTo :: CSocklen -> CSocklen -> CSocklen -> [CSocklen] #
Enum CSpeed
Instance details Defined in System.Posix.Types Methods succ :: CSpeed -> CSpeed # pred :: CSpeed -> CSpeed # toEnum :: Int -> CSpeed # fromEnum :: CSpeed -> Int # enumFrom :: CSpeed -> [CSpeed] # enumFromThen :: CSpeed -> CSpeed -> [CSpeed] # enumFromTo :: CSpeed -> CSpeed -> [CSpeed] # enumFromThenTo :: CSpeed -> CSpeed -> CSpeed -> [CSpeed] #
Enum CSsize
Instance details Defined in System.Posix.Types Methods succ :: CSsize -> CSsize # pred :: CSsize -> CSsize # toEnum :: Int -> CSsize # fromEnum :: CSsize -> Int # enumFrom :: CSsize -> [CSsize] # enumFromThen :: CSsize -> CSsize -> [CSsize] # enumFromTo :: CSsize -> CSsize -> [CSsize] # enumFromThenTo :: CSsize -> CSsize -> CSsize -> [CSsize] #
Enum CTcflag
Instance details Defined in System.Posix.Types Methods succ :: CTcflag -> CTcflag # pred :: CTcflag -> CTcflag # toEnum :: Int -> CTcflag # fromEnum :: CTcflag -> Int # enumFrom :: CTcflag -> [CTcflag] # enumFromThen :: CTcflag -> CTcflag -> [CTcflag] # enumFromTo :: CTcflag -> CTcflag -> [CTcflag] # enumFromThenTo :: CTcflag -> CTcflag -> CTcflag -> [CTcflag] #
Enum CUid
Instance details Defined in System.Posix.Types Methods succ :: CUid -> CUid # pred :: CUid -> CUid # toEnum :: Int -> CUid # fromEnum :: CUid -> Int # enumFrom :: CUid -> [CUid] # enumFromThen :: CUid -> CUid -> [CUid] # enumFromTo :: CUid -> CUid -> [CUid] # enumFromThenTo :: CUid -> CUid -> CUid -> [CUid] #
Enum Fd
Instance details Defined in System.Posix.Types Methods succ :: Fd -> Fd # pred :: Fd -> Fd # toEnum :: Int -> Fd # fromEnum :: Fd -> Int # enumFrom :: Fd -> [Fd] # enumFromThen :: Fd -> Fd -> [Fd] # enumFromTo :: Fd -> Fd -> [Fd] # enumFromThenTo :: Fd -> Fd -> Fd -> [Fd] #
Enum Ordering	Since: base-2.1
Instance details Defined in GHC.Enum Methods succ :: Ordering -> Ordering # pred :: Ordering -> Ordering # toEnum :: Int -> Ordering # fromEnum :: Ordering -> Int # enumFrom :: Ordering -> [Ordering] # enumFromThen :: Ordering -> Ordering -> [Ordering] # enumFromTo :: Ordering -> Ordering -> [Ordering] # enumFromThenTo :: Ordering -> Ordering -> Ordering -> [Ordering] #
Enum Integer	Since: base-2.1
Instance details Defined in GHC.Enum Methods succ :: Integer -> Integer # pred :: Integer -> Integer # toEnum :: Int -> Integer # fromEnum :: Integer -> Int # enumFrom :: Integer -> [Integer] # enumFromThen :: Integer -> Integer -> [Integer] # enumFromTo :: Integer -> Integer -> [Integer] # enumFromThenTo :: Integer -> Integer -> Integer -> [Integer] #
Enum Natural	Since: base-4.8.0.0
Instance details Defined in GHC.Enum Methods succ :: Natural -> Natural # pred :: Natural -> Natural # toEnum :: Int -> Natural # fromEnum :: Natural -> Int # enumFrom :: Natural -> [Natural] # enumFromThen :: Natural -> Natural -> [Natural] # enumFromTo :: Natural -> Natural -> [Natural] # enumFromThenTo :: Natural -> Natural -> Natural -> [Natural] #
Enum ()	Since: base-2.1
Instance details Defined in GHC.Enum Methods succ :: () -> () # pred :: () -> () # toEnum :: Int -> () # fromEnum :: () -> Int # enumFrom :: () -> [()] # enumFromThen :: () -> () -> [()] # enumFromTo :: () -> () -> [()] # enumFromThenTo :: () -> () -> () -> [()] #
Enum Bool	Since: base-2.1
Instance details Defined in GHC.Enum Methods succ :: Bool -> Bool # pred :: Bool -> Bool # toEnum :: Int -> Bool # fromEnum :: Bool -> Int # enumFrom :: Bool -> [Bool] # enumFromThen :: Bool -> Bool -> [Bool] # enumFromTo :: Bool -> Bool -> [Bool] # enumFromThenTo :: Bool -> Bool -> Bool -> [Bool] #
Enum Char	Since: base-2.1
Instance details Defined in GHC.Enum Methods succ :: Char -> Char # pred :: Char -> Char # toEnum :: Int -> Char # fromEnum :: Char -> Int # enumFrom :: Char -> [Char] # enumFromThen :: Char -> Char -> [Char] # enumFromTo :: Char -> Char -> [Char] # enumFromThenTo :: Char -> Char -> Char -> [Char] #
Enum Int	Since: base-2.1
Instance details Defined in GHC.Enum Methods succ :: Int -> Int # pred :: Int -> Int # toEnum :: Int -> Int # fromEnum :: Int -> Int # enumFrom :: Int -> [Int] # enumFromThen :: Int -> Int -> [Int] # enumFromTo :: Int -> Int -> [Int] # enumFromThenTo :: Int -> Int -> Int -> [Int] #
Enum Levity	Since: base-4.16.0.0
Instance details Defined in GHC.Enum Methods succ :: Levity -> Levity # pred :: Levity -> Levity # toEnum :: Int -> Levity # fromEnum :: Levity -> Int # enumFrom :: Levity -> [Levity] # enumFromThen :: Levity -> Levity -> [Levity] # enumFromTo :: Levity -> Levity -> [Levity] # enumFromThenTo :: Levity -> Levity -> Levity -> [Levity] #
Enum VecCount	Since: base-4.10.0.0
Instance details Defined in GHC.Enum Methods succ :: VecCount -> VecCount # pred :: VecCount -> VecCount # toEnum :: Int -> VecCount # fromEnum :: VecCount -> Int # enumFrom :: VecCount -> [VecCount] # enumFromThen :: VecCount -> VecCount -> [VecCount] # enumFromTo :: VecCount -> VecCount -> [VecCount] # enumFromThenTo :: VecCount -> VecCount -> VecCount -> [VecCount] #
Enum VecElem	Since: base-4.10.0.0
Instance details Defined in GHC.Enum Methods succ :: VecElem -> VecElem # pred :: VecElem -> VecElem # toEnum :: Int -> VecElem # fromEnum :: VecElem -> Int # enumFrom :: VecElem -> [VecElem] # enumFromThen :: VecElem -> VecElem -> [VecElem] # enumFromTo :: VecElem -> VecElem -> [VecElem] # enumFromThenTo :: VecElem -> VecElem -> VecElem -> [VecElem] #
Enum Word	Since: base-2.1
Instance details Defined in GHC.Enum Methods succ :: Word -> Word # pred :: Word -> Word # toEnum :: Int -> Word # fromEnum :: Word -> Int # enumFrom :: Word -> [Word] # enumFromThen :: Word -> Word -> [Word] # enumFromTo :: Word -> Word -> [Word] # enumFromThenTo :: Word -> Word -> Word -> [Word] #
Enum a => Enum (And a)	Since: base-4.16
Instance details Defined in Data.Bits Methods succ :: And a -> And a # pred :: And a -> And a # toEnum :: Int -> And a # fromEnum :: And a -> Int # enumFrom :: And a -> [And a] # enumFromThen :: And a -> And a -> [And a] # enumFromTo :: And a -> And a -> [And a] # enumFromThenTo :: And a -> And a -> And a -> [And a] #
Enum a => Enum (Iff a)	Since: base-4.16
Instance details Defined in Data.Bits Methods succ :: Iff a -> Iff a # pred :: Iff a -> Iff a # toEnum :: Int -> Iff a # fromEnum :: Iff a -> Int # enumFrom :: Iff a -> [Iff a] # enumFromThen :: Iff a -> Iff a -> [Iff a] # enumFromTo :: Iff a -> Iff a -> [Iff a] # enumFromThenTo :: Iff a -> Iff a -> Iff a -> [Iff a] #
Enum a => Enum (Ior a)	Since: base-4.16
Instance details Defined in Data.Bits Methods succ :: Ior a -> Ior a # pred :: Ior a -> Ior a # toEnum :: Int -> Ior a # fromEnum :: Ior a -> Int # enumFrom :: Ior a -> [Ior a] # enumFromThen :: Ior a -> Ior a -> [Ior a] # enumFromTo :: Ior a -> Ior a -> [Ior a] # enumFromThenTo :: Ior a -> Ior a -> Ior a -> [Ior a] #
Enum a => Enum (Xor a)	Since: base-4.16
Instance details Defined in Data.Bits Methods succ :: Xor a -> Xor a # pred :: Xor a -> Xor a # toEnum :: Int -> Xor a # fromEnum :: Xor a -> Int # enumFrom :: Xor a -> [Xor a] # enumFromThen :: Xor a -> Xor a -> [Xor a] # enumFromTo :: Xor a -> Xor a -> [Xor a] # enumFromThenTo :: Xor a -> Xor a -> Xor a -> [Xor a] #
Enum a => Enum (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods succ :: Identity a -> Identity a # pred :: Identity a -> Identity a # toEnum :: Int -> Identity a # fromEnum :: Identity a -> Int # enumFrom :: Identity a -> [Identity a] # enumFromThen :: Identity a -> Identity a -> [Identity a] # enumFromTo :: Identity a -> Identity a -> [Identity a] # enumFromThenTo :: Identity a -> Identity a -> Identity a -> [Identity a] #
Enum a => Enum (First a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods succ :: First a -> First a # pred :: First a -> First a # toEnum :: Int -> First a # fromEnum :: First a -> Int # enumFrom :: First a -> [First a] # enumFromThen :: First a -> First a -> [First a] # enumFromTo :: First a -> First a -> [First a] # enumFromThenTo :: First a -> First a -> First a -> [First a] #
Enum a => Enum (Last a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods succ :: Last a -> Last a # pred :: Last a -> Last a # toEnum :: Int -> Last a # fromEnum :: Last a -> Int # enumFrom :: Last a -> [Last a] # enumFromThen :: Last a -> Last a -> [Last a] # enumFromTo :: Last a -> Last a -> [Last a] # enumFromThenTo :: Last a -> Last a -> Last a -> [Last a] #
Enum a => Enum (Max a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods succ :: Max a -> Max a # pred :: Max a -> Max a # toEnum :: Int -> Max a # fromEnum :: Max a -> Int # enumFrom :: Max a -> [Max a] # enumFromThen :: Max a -> Max a -> [Max a] # enumFromTo :: Max a -> Max a -> [Max a] # enumFromThenTo :: Max a -> Max a -> Max a -> [Max a] #
Enum a => Enum (Min a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods succ :: Min a -> Min a # pred :: Min a -> Min a # toEnum :: Int -> Min a # fromEnum :: Min a -> Int # enumFrom :: Min a -> [Min a] # enumFromThen :: Min a -> Min a -> [Min a] # enumFromTo :: Min a -> Min a -> [Min a] # enumFromThenTo :: Min a -> Min a -> Min a -> [Min a] #
Enum a => Enum (WrappedMonoid a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods succ :: WrappedMonoid a -> WrappedMonoid a # pred :: WrappedMonoid a -> WrappedMonoid a # toEnum :: Int -> WrappedMonoid a # fromEnum :: WrappedMonoid a -> Int # enumFrom :: WrappedMonoid a -> [WrappedMonoid a] # enumFromThen :: WrappedMonoid a -> WrappedMonoid a -> [WrappedMonoid a] # enumFromTo :: WrappedMonoid a -> WrappedMonoid a -> [WrappedMonoid a] # enumFromThenTo :: WrappedMonoid a -> WrappedMonoid a -> WrappedMonoid a -> [WrappedMonoid a] #
Integral a => Enum (Ratio a)	Since: base-2.0.1
Instance details Defined in GHC.Real Methods succ :: Ratio a -> Ratio a # pred :: Ratio a -> Ratio a # toEnum :: Int -> Ratio a # fromEnum :: Ratio a -> Int # enumFrom :: Ratio a -> [Ratio a] # enumFromThen :: Ratio a -> Ratio a -> [Ratio a] # enumFromTo :: Ratio a -> Ratio a -> [Ratio a] # enumFromThenTo :: Ratio a -> Ratio a -> Ratio a -> [Ratio a] #
Enum a => Enum (a)
Instance details Defined in GHC.Enum Methods succ :: (a) -> (a) # pred :: (a) -> (a) # toEnum :: Int -> (a) # fromEnum :: (a) -> Int # enumFrom :: (a) -> [(a)] # enumFromThen :: (a) -> (a) -> [(a)] # enumFromTo :: (a) -> (a) -> [(a)] # enumFromThenTo :: (a) -> (a) -> (a) -> [(a)] #
Enum (Fixed a)	Recall that, for numeric types, `succ` and `pred` typically add and subtract `1`, respectively. This is not true in the case of `Fixed`, whose successor and predecessor functions intuitively return the "next" and "previous" values in the enumeration. The results of these functions thus depend on the resolution of the `Fixed` value. For example, when enumerating values of resolution `10^-3` of `type Milli = Fixed E3`, succ (0.000 :: Milli) == 1.001 and likewise pred (0.000 :: Milli) == -0.001 In other words, `succ` and `pred` increment and decrement a fixed-precision value by the least amount such that the value's resolution is unchanged. For example, `10^-12` is the smallest (positive) amount that can be added to a value of `type Pico = Fixed E12` without changing its resolution, and so succ (0.000000000000 :: Pico) == 0.000000000001 and similarly pred (0.000000000000 :: Pico) == -0.000000000001 This is worth bearing in mind when defining `Fixed` arithmetic sequences. In particular, you may be forgiven for thinking the sequence [1..10] :: [Pico] evaluates to `[1, 2, 3, 4, 5, 6, 7, 8, 9, 10] :: [Pico]`. However, this is not true. On the contrary, similarly to the above implementations of `succ` and `pred`, `enumFromTo :: Pico -> Pico -> [Pico]` has a "step size" of `10^-12`. Hence, the list `[1..10] :: [Pico]` has the form [1.000000000000, 1.00000000001, 1.00000000002, ..., 10.000000000000] and contains `9 * 10^12 + 1` values. Since: base-2.1
Instance details Defined in Data.Fixed Methods succ :: Fixed a -> Fixed a # pred :: Fixed a -> Fixed a # toEnum :: Int -> Fixed a # fromEnum :: Fixed a -> Int # enumFrom :: Fixed a -> [Fixed a] # enumFromThen :: Fixed a -> Fixed a -> [Fixed a] # enumFromTo :: Fixed a -> Fixed a -> [Fixed a] # enumFromThenTo :: Fixed a -> Fixed a -> Fixed a -> [Fixed a] #
Enum (Proxy s)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods succ :: Proxy s -> Proxy s # pred :: Proxy s -> Proxy s # toEnum :: Int -> Proxy s # fromEnum :: Proxy s -> Int # enumFrom :: Proxy s -> [Proxy s] # enumFromThen :: Proxy s -> Proxy s -> [Proxy s] # enumFromTo :: Proxy s -> Proxy s -> [Proxy s] # enumFromThenTo :: Proxy s -> Proxy s -> Proxy s -> [Proxy s] #
Enum a => Enum (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods succ :: Const a b -> Const a b # pred :: Const a b -> Const a b # toEnum :: Int -> Const a b # fromEnum :: Const a b -> Int # enumFrom :: Const a b -> [Const a b] # enumFromThen :: Const a b -> Const a b -> [Const a b] # enumFromTo :: Const a b -> Const a b -> [Const a b] # enumFromThenTo :: Const a b -> Const a b -> Const a b -> [Const a b] #
Enum (f a) => Enum (Ap f a)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid Methods succ :: Ap f a -> Ap f a # pred :: Ap f a -> Ap f a # toEnum :: Int -> Ap f a # fromEnum :: Ap f a -> Int # enumFrom :: Ap f a -> [Ap f a] # enumFromThen :: Ap f a -> Ap f a -> [Ap f a] # enumFromTo :: Ap f a -> Ap f a -> [Ap f a] # enumFromThenTo :: Ap f a -> Ap f a -> Ap f a -> [Ap f a] #
Enum (f a) => Enum (Alt f a)	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods succ :: Alt f a -> Alt f a # pred :: Alt f a -> Alt f a # toEnum :: Int -> Alt f a # fromEnum :: Alt f a -> Int # enumFrom :: Alt f a -> [Alt f a] # enumFromThen :: Alt f a -> Alt f a -> [Alt f a] # enumFromTo :: Alt f a -> Alt f a -> [Alt f a] # enumFromThenTo :: Alt f a -> Alt f a -> Alt f a -> [Alt f a] #
a ~ b => Enum (a :~: b)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Equality Methods succ :: (a :~: b) -> a :~: b # pred :: (a :~: b) -> a :~: b # toEnum :: Int -> a :~: b # fromEnum :: (a :~: b) -> Int # enumFrom :: (a :~: b) -> [a :~: b] # enumFromThen :: (a :~: b) -> (a :~: b) -> [a :~: b] # enumFromTo :: (a :~: b) -> (a :~: b) -> [a :~: b] # enumFromThenTo :: (a :~: b) -> (a :~: b) -> (a :~: b) -> [a :~: b] #
a ~~ b => Enum (a :~~: b)	Since: base-4.10.0.0
Instance details Defined in Data.Type.Equality Methods succ :: (a :~~: b) -> a :~~: b # pred :: (a :~~: b) -> a :~~: b # toEnum :: Int -> a :~~: b # fromEnum :: (a :~~: b) -> Int # enumFrom :: (a :~~: b) -> [a :~~: b] # enumFromThen :: (a :~~: b) -> (a :~~: b) -> [a :~~: b] # enumFromTo :: (a :~~: b) -> (a :~~: b) -> [a :~~: b] # enumFromThenTo :: (a :~~: b) -> (a :~~: b) -> (a :~~: b) -> [a :~~: b] #

class Eq a where #

The Eq class defines equality (==) and inequality (/=). All the basic datatypes exported by the Prelude are instances of Eq, and Eq may be derived for any datatype whose constituents are also instances of Eq.

The Haskell Report defines no laws for Eq. However, instances are encouraged to follow these properties:

Reflexivity: x == x = True
Symmetry: x == y = y == x
Transitivity: if x == y && y == z = True, then x == z = True
Extensionality: if x == y = True and f is a function whose return type is an instance of Eq, then f x == f y = True
Negation: x /= y = not (x == y)

Minimal complete definition: either == or /=.

Minimal complete definition

(==) | (/=)

Methods

(==) :: a -> a -> Bool infix 4 #

(/=) :: a -> a -> Bool infix 4 #

Instances

Instances details

Eq Constr	Equality of constructors Since: base-4.0.0.0
Instance details Defined in Data.Data Methods (==) :: Constr -> Constr -> Bool # (/=) :: Constr -> Constr -> Bool #
Eq ConstrRep	Since: base-4.0.0.0
Instance details Defined in Data.Data Methods (==) :: ConstrRep -> ConstrRep -> Bool # (/=) :: ConstrRep -> ConstrRep -> Bool #
Eq DataRep	Since: base-4.0.0.0
Instance details Defined in Data.Data Methods (==) :: DataRep -> DataRep -> Bool # (/=) :: DataRep -> DataRep -> Bool #
Eq Fixity	Since: base-4.0.0.0
Instance details Defined in Data.Data Methods (==) :: Fixity -> Fixity -> Bool # (/=) :: Fixity -> Fixity -> Bool #
Eq All	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods (==) :: All -> All -> Bool # (/=) :: All -> All -> Bool #
Eq Any	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods (==) :: Any -> Any -> Bool # (/=) :: Any -> Any -> Bool #
Eq SomeTypeRep
Instance details Defined in Data.Typeable.Internal Methods (==) :: SomeTypeRep -> SomeTypeRep -> Bool # (/=) :: SomeTypeRep -> SomeTypeRep -> Bool #
Eq Unique
Instance details Defined in Data.Unique Methods (==) :: Unique -> Unique -> Bool # (/=) :: Unique -> Unique -> Bool #
Eq Version	Since: base-2.1
Instance details Defined in Data.Version Methods (==) :: Version -> Version -> Bool # (/=) :: Version -> Version -> Bool #
Eq Void	Since: base-4.8.0.0
Instance details Defined in Data.Void Methods (==) :: Void -> Void -> Bool # (/=) :: Void -> Void -> Bool #
Eq CBool
Instance details Defined in Foreign.C.Types Methods (==) :: CBool -> CBool -> Bool # (/=) :: CBool -> CBool -> Bool #
Eq CChar
Instance details Defined in Foreign.C.Types Methods (==) :: CChar -> CChar -> Bool # (/=) :: CChar -> CChar -> Bool #
Eq CClock
Instance details Defined in Foreign.C.Types Methods (==) :: CClock -> CClock -> Bool # (/=) :: CClock -> CClock -> Bool #
Eq CDouble
Instance details Defined in Foreign.C.Types Methods (==) :: CDouble -> CDouble -> Bool # (/=) :: CDouble -> CDouble -> Bool #
Eq CFloat
Instance details Defined in Foreign.C.Types Methods (==) :: CFloat -> CFloat -> Bool # (/=) :: CFloat -> CFloat -> Bool #
Eq CInt
Instance details Defined in Foreign.C.Types Methods (==) :: CInt -> CInt -> Bool # (/=) :: CInt -> CInt -> Bool #
Eq CIntMax
Instance details Defined in Foreign.C.Types Methods (==) :: CIntMax -> CIntMax -> Bool # (/=) :: CIntMax -> CIntMax -> Bool #
Eq CIntPtr
Instance details Defined in Foreign.C.Types Methods (==) :: CIntPtr -> CIntPtr -> Bool # (/=) :: CIntPtr -> CIntPtr -> Bool #
Eq CLLong
Instance details Defined in Foreign.C.Types Methods (==) :: CLLong -> CLLong -> Bool # (/=) :: CLLong -> CLLong -> Bool #
Eq CLong
Instance details Defined in Foreign.C.Types Methods (==) :: CLong -> CLong -> Bool # (/=) :: CLong -> CLong -> Bool #
Eq CPtrdiff
Instance details Defined in Foreign.C.Types Methods (==) :: CPtrdiff -> CPtrdiff -> Bool # (/=) :: CPtrdiff -> CPtrdiff -> Bool #
Eq CSChar
Instance details Defined in Foreign.C.Types Methods (==) :: CSChar -> CSChar -> Bool # (/=) :: CSChar -> CSChar -> Bool #
Eq CSUSeconds
Instance details Defined in Foreign.C.Types Methods (==) :: CSUSeconds -> CSUSeconds -> Bool # (/=) :: CSUSeconds -> CSUSeconds -> Bool #
Eq CShort
Instance details Defined in Foreign.C.Types Methods (==) :: CShort -> CShort -> Bool # (/=) :: CShort -> CShort -> Bool #
Eq CSigAtomic
Instance details Defined in Foreign.C.Types Methods (==) :: CSigAtomic -> CSigAtomic -> Bool # (/=) :: CSigAtomic -> CSigAtomic -> Bool #
Eq CSize
Instance details Defined in Foreign.C.Types Methods (==) :: CSize -> CSize -> Bool # (/=) :: CSize -> CSize -> Bool #
Eq CTime
Instance details Defined in Foreign.C.Types Methods (==) :: CTime -> CTime -> Bool # (/=) :: CTime -> CTime -> Bool #
Eq CUChar
Instance details Defined in Foreign.C.Types Methods (==) :: CUChar -> CUChar -> Bool # (/=) :: CUChar -> CUChar -> Bool #
Eq CUInt
Instance details Defined in Foreign.C.Types Methods (==) :: CUInt -> CUInt -> Bool # (/=) :: CUInt -> CUInt -> Bool #
Eq CUIntMax
Instance details Defined in Foreign.C.Types Methods (==) :: CUIntMax -> CUIntMax -> Bool # (/=) :: CUIntMax -> CUIntMax -> Bool #
Eq CUIntPtr
Instance details Defined in Foreign.C.Types Methods (==) :: CUIntPtr -> CUIntPtr -> Bool # (/=) :: CUIntPtr -> CUIntPtr -> Bool #
Eq CULLong
Instance details Defined in Foreign.C.Types Methods (==) :: CULLong -> CULLong -> Bool # (/=) :: CULLong -> CULLong -> Bool #
Eq CULong
Instance details Defined in Foreign.C.Types Methods (==) :: CULong -> CULong -> Bool # (/=) :: CULong -> CULong -> Bool #
Eq CUSeconds
Instance details Defined in Foreign.C.Types Methods (==) :: CUSeconds -> CUSeconds -> Bool # (/=) :: CUSeconds -> CUSeconds -> Bool #
Eq CUShort
Instance details Defined in Foreign.C.Types Methods (==) :: CUShort -> CUShort -> Bool # (/=) :: CUShort -> CUShort -> Bool #
Eq CWchar
Instance details Defined in Foreign.C.Types Methods (==) :: CWchar -> CWchar -> Bool # (/=) :: CWchar -> CWchar -> Bool #
Eq IntPtr
Instance details Defined in Foreign.Ptr Methods (==) :: IntPtr -> IntPtr -> Bool # (/=) :: IntPtr -> IntPtr -> Bool #
Eq WordPtr
Instance details Defined in Foreign.Ptr Methods (==) :: WordPtr -> WordPtr -> Bool # (/=) :: WordPtr -> WordPtr -> Bool #
Eq BlockReason	Since: base-4.3.0.0
Instance details Defined in GHC.Conc.Sync Methods (==) :: BlockReason -> BlockReason -> Bool # (/=) :: BlockReason -> BlockReason -> Bool #
Eq ThreadId	Since: base-4.2.0.0
Instance details Defined in GHC.Conc.Sync Methods (==) :: ThreadId -> ThreadId -> Bool # (/=) :: ThreadId -> ThreadId -> Bool #
Eq ThreadStatus	Since: base-4.3.0.0
Instance details Defined in GHC.Conc.Sync Methods (==) :: ThreadStatus -> ThreadStatus -> Bool # (/=) :: ThreadStatus -> ThreadStatus -> Bool #
Eq ErrorCall	Since: base-4.7.0.0
Instance details Defined in GHC.Exception Methods (==) :: ErrorCall -> ErrorCall -> Bool # (/=) :: ErrorCall -> ErrorCall -> Bool #
Eq ArithException	Since: base-3.0
Instance details Defined in GHC.Exception.Type Methods (==) :: ArithException -> ArithException -> Bool # (/=) :: ArithException -> ArithException -> Bool #
Eq SpecConstrAnnotation	Since: base-4.3.0.0
Instance details Defined in GHC.Exts Methods (==) :: SpecConstrAnnotation -> SpecConstrAnnotation -> Bool # (/=) :: SpecConstrAnnotation -> SpecConstrAnnotation -> Bool #
Eq Fingerprint	Since: base-4.4.0.0
Instance details Defined in GHC.Fingerprint.Type Methods (==) :: Fingerprint -> Fingerprint -> Bool # (/=) :: Fingerprint -> Fingerprint -> Bool #
Eq Associativity	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Methods (==) :: Associativity -> Associativity -> Bool # (/=) :: Associativity -> Associativity -> Bool #
Eq DecidedStrictness	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (==) :: DecidedStrictness -> DecidedStrictness -> Bool # (/=) :: DecidedStrictness -> DecidedStrictness -> Bool #
Eq Fixity	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Methods (==) :: Fixity -> Fixity -> Bool # (/=) :: Fixity -> Fixity -> Bool #
Eq SourceStrictness	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (==) :: SourceStrictness -> SourceStrictness -> Bool # (/=) :: SourceStrictness -> SourceStrictness -> Bool #
Eq SourceUnpackedness	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (==) :: SourceUnpackedness -> SourceUnpackedness -> Bool # (/=) :: SourceUnpackedness -> SourceUnpackedness -> Bool #
Eq MaskingState	Since: base-4.3.0.0
Instance details Defined in GHC.IO Methods (==) :: MaskingState -> MaskingState -> Bool # (/=) :: MaskingState -> MaskingState -> Bool #
Eq IODeviceType	Since: base-4.2.0.0
Instance details Defined in GHC.IO.Device Methods (==) :: IODeviceType -> IODeviceType -> Bool # (/=) :: IODeviceType -> IODeviceType -> Bool #
Eq SeekMode	Since: base-4.2.0.0
Instance details Defined in GHC.IO.Device Methods (==) :: SeekMode -> SeekMode -> Bool # (/=) :: SeekMode -> SeekMode -> Bool #
Eq CodingProgress	Since: base-4.4.0.0
Instance details Defined in GHC.IO.Encoding.Types Methods (==) :: CodingProgress -> CodingProgress -> Bool # (/=) :: CodingProgress -> CodingProgress -> Bool #
Eq ArrayException	Since: base-4.2.0.0
Instance details Defined in GHC.IO.Exception Methods (==) :: ArrayException -> ArrayException -> Bool # (/=) :: ArrayException -> ArrayException -> Bool #
Eq AsyncException	Since: base-4.2.0.0
Instance details Defined in GHC.IO.Exception Methods (==) :: AsyncException -> AsyncException -> Bool # (/=) :: AsyncException -> AsyncException -> Bool #
Eq ExitCode
Instance details Defined in GHC.IO.Exception Methods (==) :: ExitCode -> ExitCode -> Bool # (/=) :: ExitCode -> ExitCode -> Bool #
Eq IOErrorType	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods (==) :: IOErrorType -> IOErrorType -> Bool # (/=) :: IOErrorType -> IOErrorType -> Bool #
Eq IOException	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods (==) :: IOException -> IOException -> Bool # (/=) :: IOException -> IOException -> Bool #
Eq HandlePosn	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Handle Methods (==) :: HandlePosn -> HandlePosn -> Bool # (/=) :: HandlePosn -> HandlePosn -> Bool #
Eq BufferMode	Since: base-4.2.0.0
Instance details Defined in GHC.IO.Handle.Types Methods (==) :: BufferMode -> BufferMode -> Bool # (/=) :: BufferMode -> BufferMode -> Bool #
Eq Handle	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Handle.Types Methods (==) :: Handle -> Handle -> Bool # (/=) :: Handle -> Handle -> Bool #
Eq Newline	Since: base-4.2.0.0
Instance details Defined in GHC.IO.Handle.Types Methods (==) :: Newline -> Newline -> Bool # (/=) :: Newline -> Newline -> Bool #
Eq NewlineMode	Since: base-4.2.0.0
Instance details Defined in GHC.IO.Handle.Types Methods (==) :: NewlineMode -> NewlineMode -> Bool # (/=) :: NewlineMode -> NewlineMode -> Bool #
Eq IOMode	Since: base-4.2.0.0
Instance details Defined in GHC.IO.IOMode Methods (==) :: IOMode -> IOMode -> Bool # (/=) :: IOMode -> IOMode -> Bool #
Eq Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods (==) :: Int16 -> Int16 -> Bool # (/=) :: Int16 -> Int16 -> Bool #
Eq Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods (==) :: Int32 -> Int32 -> Bool # (/=) :: Int32 -> Int32 -> Bool #
Eq Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods (==) :: Int64 -> Int64 -> Bool # (/=) :: Int64 -> Int64 -> Bool #
Eq Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods (==) :: Int8 -> Int8 -> Bool # (/=) :: Int8 -> Int8 -> Bool #
Eq SrcLoc	Since: base-4.9.0.0
Instance details Defined in GHC.Stack.Types Methods (==) :: SrcLoc -> SrcLoc -> Bool # (/=) :: SrcLoc -> SrcLoc -> Bool #
Eq GeneralCategory	Since: base-2.1
Instance details Defined in GHC.Unicode Methods (==) :: GeneralCategory -> GeneralCategory -> Bool # (/=) :: GeneralCategory -> GeneralCategory -> Bool #
Eq Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods (==) :: Word16 -> Word16 -> Bool # (/=) :: Word16 -> Word16 -> Bool #
Eq Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods (==) :: Word32 -> Word32 -> Bool # (/=) :: Word32 -> Word32 -> Bool #
Eq Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods (==) :: Word64 -> Word64 -> Bool # (/=) :: Word64 -> Word64 -> Bool #
Eq Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods (==) :: Word8 -> Word8 -> Bool # (/=) :: Word8 -> Word8 -> Bool #
Eq CBlkCnt
Instance details Defined in System.Posix.Types Methods (==) :: CBlkCnt -> CBlkCnt -> Bool # (/=) :: CBlkCnt -> CBlkCnt -> Bool #
Eq CBlkSize
Instance details Defined in System.Posix.Types Methods (==) :: CBlkSize -> CBlkSize -> Bool # (/=) :: CBlkSize -> CBlkSize -> Bool #
Eq CCc
Instance details Defined in System.Posix.Types Methods (==) :: CCc -> CCc -> Bool # (/=) :: CCc -> CCc -> Bool #
Eq CClockId
Instance details Defined in System.Posix.Types Methods (==) :: CClockId -> CClockId -> Bool # (/=) :: CClockId -> CClockId -> Bool #
Eq CDev
Instance details Defined in System.Posix.Types Methods (==) :: CDev -> CDev -> Bool # (/=) :: CDev -> CDev -> Bool #
Eq CFsBlkCnt
Instance details Defined in System.Posix.Types Methods (==) :: CFsBlkCnt -> CFsBlkCnt -> Bool # (/=) :: CFsBlkCnt -> CFsBlkCnt -> Bool #
Eq CFsFilCnt
Instance details Defined in System.Posix.Types Methods (==) :: CFsFilCnt -> CFsFilCnt -> Bool # (/=) :: CFsFilCnt -> CFsFilCnt -> Bool #
Eq CGid
Instance details Defined in System.Posix.Types Methods (==) :: CGid -> CGid -> Bool # (/=) :: CGid -> CGid -> Bool #
Eq CId
Instance details Defined in System.Posix.Types Methods (==) :: CId -> CId -> Bool # (/=) :: CId -> CId -> Bool #
Eq CIno
Instance details Defined in System.Posix.Types Methods (==) :: CIno -> CIno -> Bool # (/=) :: CIno -> CIno -> Bool #
Eq CKey
Instance details Defined in System.Posix.Types Methods (==) :: CKey -> CKey -> Bool # (/=) :: CKey -> CKey -> Bool #
Eq CMode
Instance details Defined in System.Posix.Types Methods (==) :: CMode -> CMode -> Bool # (/=) :: CMode -> CMode -> Bool #
Eq CNfds
Instance details Defined in System.Posix.Types Methods (==) :: CNfds -> CNfds -> Bool # (/=) :: CNfds -> CNfds -> Bool #
Eq CNlink
Instance details Defined in System.Posix.Types Methods (==) :: CNlink -> CNlink -> Bool # (/=) :: CNlink -> CNlink -> Bool #
Eq COff
Instance details Defined in System.Posix.Types Methods (==) :: COff -> COff -> Bool # (/=) :: COff -> COff -> Bool #
Eq CPid
Instance details Defined in System.Posix.Types Methods (==) :: CPid -> CPid -> Bool # (/=) :: CPid -> CPid -> Bool #
Eq CRLim
Instance details Defined in System.Posix.Types Methods (==) :: CRLim -> CRLim -> Bool # (/=) :: CRLim -> CRLim -> Bool #
Eq CSocklen
Instance details Defined in System.Posix.Types Methods (==) :: CSocklen -> CSocklen -> Bool # (/=) :: CSocklen -> CSocklen -> Bool #
Eq CSpeed
Instance details Defined in System.Posix.Types Methods (==) :: CSpeed -> CSpeed -> Bool # (/=) :: CSpeed -> CSpeed -> Bool #
Eq CSsize
Instance details Defined in System.Posix.Types Methods (==) :: CSsize -> CSsize -> Bool # (/=) :: CSsize -> CSsize -> Bool #
Eq CTcflag
Instance details Defined in System.Posix.Types Methods (==) :: CTcflag -> CTcflag -> Bool # (/=) :: CTcflag -> CTcflag -> Bool #
Eq CTimer
Instance details Defined in System.Posix.Types Methods (==) :: CTimer -> CTimer -> Bool # (/=) :: CTimer -> CTimer -> Bool #
Eq CUid
Instance details Defined in System.Posix.Types Methods (==) :: CUid -> CUid -> Bool # (/=) :: CUid -> CUid -> Bool #
Eq Fd
Instance details Defined in System.Posix.Types Methods (==) :: Fd -> Fd -> Bool # (/=) :: Fd -> Fd -> Bool #
Eq Timeout
Instance details Defined in System.Timeout Methods (==) :: Timeout -> Timeout -> Bool # (/=) :: Timeout -> Timeout -> Bool #
Eq Module
Instance details Defined in GHC.Classes Methods (==) :: Module -> Module -> Bool # (/=) :: Module -> Module -> Bool #
Eq Ordering
Instance details Defined in GHC.Classes Methods (==) :: Ordering -> Ordering -> Bool # (/=) :: Ordering -> Ordering -> Bool #
Eq TrName
Instance details Defined in GHC.Classes Methods (==) :: TrName -> TrName -> Bool # (/=) :: TrName -> TrName -> Bool #
Eq TyCon
Instance details Defined in GHC.Classes Methods (==) :: TyCon -> TyCon -> Bool # (/=) :: TyCon -> TyCon -> Bool #
Eq Integer
Instance details Defined in GHC.Num.Integer Methods (==) :: Integer -> Integer -> Bool # (/=) :: Integer -> Integer -> Bool #
Eq Natural
Instance details Defined in GHC.Num.Natural Methods (==) :: Natural -> Natural -> Bool # (/=) :: Natural -> Natural -> Bool #
Eq ()
Instance details Defined in GHC.Classes Methods (==) :: () -> () -> Bool # (/=) :: () -> () -> Bool #
Eq Bool
Instance details Defined in GHC.Classes Methods (==) :: Bool -> Bool -> Bool # (/=) :: Bool -> Bool -> Bool #
Eq Char
Instance details Defined in GHC.Classes Methods (==) :: Char -> Char -> Bool # (/=) :: Char -> Char -> Bool #
Eq Double	Note that due to the presence of `NaN`, `Double`'s `Eq` instance does not satisfy reflexivity. `>>>` `0/0 == (0/0 :: Double)`False Also note that `Double`'s `Eq` instance does not satisfy substitutivity: `>>>` `0 == (-0 :: Double)`True `>>>` `recip 0 == recip (-0 :: Double)`False
Instance details Defined in GHC.Classes Methods (==) :: Double -> Double -> Bool # (/=) :: Double -> Double -> Bool #
Eq Float	Note that due to the presence of `NaN`, `Float`'s `Eq` instance does not satisfy reflexivity. `>>>` `0/0 == (0/0 :: Float)`False Also note that `Float`'s `Eq` instance does not satisfy extensionality: `>>>` `0 == (-0 :: Float)`True `>>>` `recip 0 == recip (-0 :: Float)`False
Instance details Defined in GHC.Classes Methods (==) :: Float -> Float -> Bool # (/=) :: Float -> Float -> Bool #
Eq Int
Instance details Defined in GHC.Classes Methods (==) :: Int -> Int -> Bool # (/=) :: Int -> Int -> Bool #
Eq Word
Instance details Defined in GHC.Classes Methods (==) :: Word -> Word -> Bool # (/=) :: Word -> Word -> Bool #
Eq a => Eq (ZipList a)	Since: base-4.7.0.0
Instance details Defined in Control.Applicative Methods (==) :: ZipList a -> ZipList a -> Bool # (/=) :: ZipList a -> ZipList a -> Bool #
Eq (Chan a)	Since: base-4.4.0.0
Instance details Defined in Control.Concurrent.Chan Methods (==) :: Chan a -> Chan a -> Bool # (/=) :: Chan a -> Chan a -> Bool #
Eq a => Eq (And a)	Since: base-4.16
Instance details Defined in Data.Bits Methods (==) :: And a -> And a -> Bool # (/=) :: And a -> And a -> Bool #
Eq a => Eq (Iff a)	Since: base-4.16
Instance details Defined in Data.Bits Methods (==) :: Iff a -> Iff a -> Bool # (/=) :: Iff a -> Iff a -> Bool #
Eq a => Eq (Ior a)	Since: base-4.16
Instance details Defined in Data.Bits Methods (==) :: Ior a -> Ior a -> Bool # (/=) :: Ior a -> Ior a -> Bool #
Eq a => Eq (Xor a)	Since: base-4.16
Instance details Defined in Data.Bits Methods (==) :: Xor a -> Xor a -> Bool # (/=) :: Xor a -> Xor a -> Bool #
Eq a => Eq (Complex a)	Since: base-2.1
Instance details Defined in Data.Complex Methods (==) :: Complex a -> Complex a -> Bool # (/=) :: Complex a -> Complex a -> Bool #
Eq a => Eq (Identity a)	Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity Methods (==) :: Identity a -> Identity a -> Bool # (/=) :: Identity a -> Identity a -> Bool #
Eq a => Eq (First a)	Since: base-2.1
Instance details Defined in Data.Monoid Methods (==) :: First a -> First a -> Bool # (/=) :: First a -> First a -> Bool #
Eq a => Eq (Last a)	Since: base-2.1
Instance details Defined in Data.Monoid Methods (==) :: Last a -> Last a -> Bool # (/=) :: Last a -> Last a -> Bool #
Eq a => Eq (Down a)	Since: base-4.6.0.0
Instance details Defined in Data.Ord Methods (==) :: Down a -> Down a -> Bool # (/=) :: Down a -> Down a -> Bool #
Eq a => Eq (First a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (==) :: First a -> First a -> Bool # (/=) :: First a -> First a -> Bool #
Eq a => Eq (Last a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (==) :: Last a -> Last a -> Bool # (/=) :: Last a -> Last a -> Bool #
Eq a => Eq (Max a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (==) :: Max a -> Max a -> Bool # (/=) :: Max a -> Max a -> Bool #
Eq a => Eq (Min a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (==) :: Min a -> Min a -> Bool # (/=) :: Min a -> Min a -> Bool #
Eq m => Eq (WrappedMonoid m)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (==) :: WrappedMonoid m -> WrappedMonoid m -> Bool # (/=) :: WrappedMonoid m -> WrappedMonoid m -> Bool #
Eq a => Eq (Dual a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods (==) :: Dual a -> Dual a -> Bool # (/=) :: Dual a -> Dual a -> Bool #
Eq a => Eq (Product a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods (==) :: Product a -> Product a -> Bool # (/=) :: Product a -> Product a -> Bool #
Eq a => Eq (Sum a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods (==) :: Sum a -> Sum a -> Bool # (/=) :: Sum a -> Sum a -> Bool #
Eq (TVar a)	Since: base-4.8.0.0
Instance details Defined in GHC.Conc.Sync Methods (==) :: TVar a -> TVar a -> Bool # (/=) :: TVar a -> TVar a -> Bool #
Eq (ForeignPtr a)	Since: base-2.1
Instance details Defined in GHC.ForeignPtr Methods (==) :: ForeignPtr a -> ForeignPtr a -> Bool # (/=) :: ForeignPtr a -> ForeignPtr a -> Bool #
Eq p => Eq (Par1 p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods (==) :: Par1 p -> Par1 p -> Bool # (/=) :: Par1 p -> Par1 p -> Bool #
Eq (IORef a)	Pointer equality. Since: base-4.0.0.0
Instance details Defined in GHC.IORef Methods (==) :: IORef a -> IORef a -> Bool # (/=) :: IORef a -> IORef a -> Bool #
Eq (MVar a)	Since: base-4.1.0.0
Instance details Defined in GHC.MVar Methods (==) :: MVar a -> MVar a -> Bool # (/=) :: MVar a -> MVar a -> Bool #
Eq (FunPtr a)
Instance details Defined in GHC.Ptr Methods (==) :: FunPtr a -> FunPtr a -> Bool # (/=) :: FunPtr a -> FunPtr a -> Bool #
Eq (Ptr a)	Since: base-2.1
Instance details Defined in GHC.Ptr Methods (==) :: Ptr a -> Ptr a -> Bool # (/=) :: Ptr a -> Ptr a -> Bool #
Eq a => Eq (Ratio a)	Since: base-2.1
Instance details Defined in GHC.Real Methods (==) :: Ratio a -> Ratio a -> Bool # (/=) :: Ratio a -> Ratio a -> Bool #
Eq (StablePtr a)	Since: base-2.1
Instance details Defined in GHC.Stable Methods (==) :: StablePtr a -> StablePtr a -> Bool # (/=) :: StablePtr a -> StablePtr a -> Bool #
Eq (StableName a)	Since: base-2.1
Instance details Defined in GHC.StableName Methods (==) :: StableName a -> StableName a -> Bool # (/=) :: StableName a -> StableName a -> Bool #
Eq a => Eq (NonEmpty a)	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (==) :: NonEmpty a -> NonEmpty a -> Bool # (/=) :: NonEmpty a -> NonEmpty a -> Bool #
Eq a => Eq (Maybe a)	Since: base-2.1
Instance details Defined in GHC.Maybe Methods (==) :: Maybe a -> Maybe a -> Bool # (/=) :: Maybe a -> Maybe a -> Bool #
Eq a => Eq (a)
Instance details Defined in GHC.Classes Methods (==) :: (a) -> (a) -> Bool # (/=) :: (a) -> (a) -> Bool #
Eq a => Eq [a]
Instance details Defined in GHC.Classes Methods (==) :: [a] -> [a] -> Bool # (/=) :: [a] -> [a] -> Bool #
(Eq a, Eq b) => Eq (Either a b)	Since: base-2.1
Instance details Defined in Data.Either Methods (==) :: Either a b -> Either a b -> Bool # (/=) :: Either a b -> Either a b -> Bool #
Eq (Fixed a)	Since: base-2.1
Instance details Defined in Data.Fixed Methods (==) :: Fixed a -> Fixed a -> Bool # (/=) :: Fixed a -> Fixed a -> Bool #
Eq (Proxy s)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods (==) :: Proxy s -> Proxy s -> Bool # (/=) :: Proxy s -> Proxy s -> Bool #
Eq a => Eq (Arg a b)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (==) :: Arg a b -> Arg a b -> Bool # (/=) :: Arg a b -> Arg a b -> Bool #
Eq (TypeRep a)	Since: base-2.1
Instance details Defined in Data.Typeable.Internal Methods (==) :: TypeRep a -> TypeRep a -> Bool # (/=) :: TypeRep a -> TypeRep a -> Bool #
Eq (U1 p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (==) :: U1 p -> U1 p -> Bool # (/=) :: U1 p -> U1 p -> Bool #
Eq (V1 p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (==) :: V1 p -> V1 p -> Bool # (/=) :: V1 p -> V1 p -> Bool #
Eq (STRef s a)	Pointer equality. Since: base-2.1
Instance details Defined in GHC.STRef Methods (==) :: STRef s a -> STRef s a -> Bool # (/=) :: STRef s a -> STRef s a -> Bool #
(Eq a, Eq b) => Eq (a, b)
Instance details Defined in GHC.Classes Methods (==) :: (a, b) -> (a, b) -> Bool # (/=) :: (a, b) -> (a, b) -> Bool #
Eq a => Eq (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods (==) :: Const a b -> Const a b -> Bool # (/=) :: Const a b -> Const a b -> Bool #
Eq (f a) => Eq (Ap f a)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid Methods (==) :: Ap f a -> Ap f a -> Bool # (/=) :: Ap f a -> Ap f a -> Bool #
Eq (f a) => Eq (Alt f a)	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods (==) :: Alt f a -> Alt f a -> Bool # (/=) :: Alt f a -> Alt f a -> Bool #
Eq (a :~: b)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Equality Methods (==) :: (a :~: b) -> (a :~: b) -> Bool # (/=) :: (a :~: b) -> (a :~: b) -> Bool #
Eq (f p) => Eq (Rec1 f p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods (==) :: Rec1 f p -> Rec1 f p -> Bool # (/=) :: Rec1 f p -> Rec1 f p -> Bool #
Eq (URec (Ptr ()) p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (==) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool # (/=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool #
Eq (URec Char p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (==) :: URec Char p -> URec Char p -> Bool # (/=) :: URec Char p -> URec Char p -> Bool #
Eq (URec Double p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (==) :: URec Double p -> URec Double p -> Bool # (/=) :: URec Double p -> URec Double p -> Bool #
Eq (URec Float p)
Instance details Defined in GHC.Generics Methods (==) :: URec Float p -> URec Float p -> Bool # (/=) :: URec Float p -> URec Float p -> Bool #
Eq (URec Int p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (==) :: URec Int p -> URec Int p -> Bool # (/=) :: URec Int p -> URec Int p -> Bool #
Eq (URec Word p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (==) :: URec Word p -> URec Word p -> Bool # (/=) :: URec Word p -> URec Word p -> Bool #
(Eq a, Eq b, Eq c) => Eq (a, b, c)
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c) -> (a, b, c) -> Bool # (/=) :: (a, b, c) -> (a, b, c) -> Bool #
(Eq1 f, Eq1 g, Eq a) => Eq (Product f g a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Product Methods (==) :: Product f g a -> Product f g a -> Bool # (/=) :: Product f g a -> Product f g a -> Bool #
(Eq1 f, Eq1 g, Eq a) => Eq (Sum f g a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Sum Methods (==) :: Sum f g a -> Sum f g a -> Bool # (/=) :: Sum f g a -> Sum f g a -> Bool #
Eq (a :~~: b)	Since: base-4.10.0.0
Instance details Defined in Data.Type.Equality Methods (==) :: (a :~~: b) -> (a :~~: b) -> Bool # (/=) :: (a :~~: b) -> (a :~~: b) -> Bool #
(Eq (f p), Eq (g p)) => Eq ((f :*: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods (==) :: (f :: g) p -> (f :: g) p -> Bool # (/=) :: (f :: g) p -> (f :: g) p -> Bool #
(Eq (f p), Eq (g p)) => Eq ((f :+: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods (==) :: (f :+: g) p -> (f :+: g) p -> Bool # (/=) :: (f :+: g) p -> (f :+: g) p -> Bool #
Eq c => Eq (K1 i c p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods (==) :: K1 i c p -> K1 i c p -> Bool # (/=) :: K1 i c p -> K1 i c p -> Bool #
(Eq a, Eq b, Eq c, Eq d) => Eq (a, b, c, d)
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d) -> (a, b, c, d) -> Bool # (/=) :: (a, b, c, d) -> (a, b, c, d) -> Bool #
(Eq1 f, Eq1 g, Eq a) => Eq (Compose f g a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Compose Methods (==) :: Compose f g a -> Compose f g a -> Bool # (/=) :: Compose f g a -> Compose f g a -> Bool #
Eq (f (g p)) => Eq ((f :.: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods (==) :: (f :.: g) p -> (f :.: g) p -> Bool # (/=) :: (f :.: g) p -> (f :.: g) p -> Bool #
Eq (f p) => Eq (M1 i c f p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods (==) :: M1 i c f p -> M1 i c f p -> Bool # (/=) :: M1 i c f p -> M1 i c f p -> Bool #
(Eq a, Eq b, Eq c, Eq d, Eq e) => Eq (a, b, c, d, e)
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool # (/=) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f) => Eq (a, b, c, d, e, f)
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool # (/=) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g) => Eq (a, b, c, d, e, f, g)
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool # (/=) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h) => Eq (a, b, c, d, e, f, g, h)
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool # (/=) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i) => Eq (a, b, c, d, e, f, g, h, i)
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool # (/=) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j) => Eq (a, b, c, d, e, f, g, h, i, j)
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool # (/=) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j, Eq k) => Eq (a, b, c, d, e, f, g, h, i, j, k)
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool # (/=) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j, Eq k, Eq l) => Eq (a, b, c, d, e, f, g, h, i, j, k, l)
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool # (/=) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j, Eq k, Eq l, Eq m) => Eq (a, b, c, d, e, f, g, h, i, j, k, l, m)
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool # (/=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j, Eq k, Eq l, Eq m, Eq n) => Eq (a, b, c, d, e, f, g, h, i, j, k, l, m, n)
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool # (/=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j, Eq k, Eq l, Eq m, Eq n, Eq o) => Eq (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool # (/=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool #

class Fractional a => Floating a where #

Trigonometric and hyperbolic functions and related functions.

The Haskell Report defines no laws for Floating. However, (+), (*) and exp are customarily expected to define an exponential field and have the following properties:

exp (a + b) = exp a * exp b
exp (fromInteger 0) = fromInteger 1

Minimal complete definition

pi, exp, log, sin, cos, asin, acos, atan, sinh, cosh, asinh, acosh, atanh

Methods

pi :: a #

exp :: a -> a #

log :: a -> a #

sqrt :: a -> a #

(**) :: a -> a -> a infixr 8 #

logBase :: a -> a -> a #

sin :: a -> a #

cos :: a -> a #

tan :: a -> a #

asin :: a -> a #

acos :: a -> a #

atan :: a -> a #

sinh :: a -> a #

cosh :: a -> a #

tanh :: a -> a #

asinh :: a -> a #

acosh :: a -> a #

atanh :: a -> a #

log1p :: a -> a #

log1p x computes log (1 + x), but provides more precise results for small (absolute) values of x if possible.

Since: base-4.9.0.0

expm1 :: a -> a #

expm1 x computes exp x - 1, but provides more precise results for small (absolute) values of x if possible.

Since: base-4.9.0.0

log1pexp :: a -> a #

log1pexp x computes log (1 + exp x), but provides more precise results if possible.

Examples:

if x is a large negative number, log (1 + exp x) will be imprecise for the reasons given in log1p.
if exp x is close to -1, log (1 + exp x) will be imprecise for the reasons given in expm1.

Since: base-4.9.0.0

log1mexp :: a -> a #

log1mexp x computes log (1 - exp x), but provides more precise results if possible.

Examples:

if x is a large negative number, log (1 - exp x) will be imprecise for the reasons given in log1p.
if exp x is close to 1, log (1 - exp x) will be imprecise for the reasons given in expm1.

Since: base-4.9.0.0

Instances

Instances details

Floating CDouble
Instance details Defined in Foreign.C.Types Methods pi :: CDouble # exp :: CDouble -> CDouble # log :: CDouble -> CDouble # sqrt :: CDouble -> CDouble # (**) :: CDouble -> CDouble -> CDouble # logBase :: CDouble -> CDouble -> CDouble # sin :: CDouble -> CDouble # cos :: CDouble -> CDouble # tan :: CDouble -> CDouble # asin :: CDouble -> CDouble # acos :: CDouble -> CDouble # atan :: CDouble -> CDouble # sinh :: CDouble -> CDouble # cosh :: CDouble -> CDouble # tanh :: CDouble -> CDouble # asinh :: CDouble -> CDouble # acosh :: CDouble -> CDouble # atanh :: CDouble -> CDouble # log1p :: CDouble -> CDouble # expm1 :: CDouble -> CDouble # log1pexp :: CDouble -> CDouble # log1mexp :: CDouble -> CDouble #
Floating CFloat
Instance details Defined in Foreign.C.Types Methods pi :: CFloat # exp :: CFloat -> CFloat # log :: CFloat -> CFloat # sqrt :: CFloat -> CFloat # (**) :: CFloat -> CFloat -> CFloat # logBase :: CFloat -> CFloat -> CFloat # sin :: CFloat -> CFloat # cos :: CFloat -> CFloat # tan :: CFloat -> CFloat # asin :: CFloat -> CFloat # acos :: CFloat -> CFloat # atan :: CFloat -> CFloat # sinh :: CFloat -> CFloat # cosh :: CFloat -> CFloat # tanh :: CFloat -> CFloat # asinh :: CFloat -> CFloat # acosh :: CFloat -> CFloat # atanh :: CFloat -> CFloat # log1p :: CFloat -> CFloat # expm1 :: CFloat -> CFloat # log1pexp :: CFloat -> CFloat # log1mexp :: CFloat -> CFloat #
Floating Double	Since: base-2.1
Instance details Defined in GHC.Float Methods pi :: Double # exp :: Double -> Double # log :: Double -> Double # sqrt :: Double -> Double # (**) :: Double -> Double -> Double # logBase :: Double -> Double -> Double # sin :: Double -> Double # cos :: Double -> Double # tan :: Double -> Double # asin :: Double -> Double # acos :: Double -> Double # atan :: Double -> Double # sinh :: Double -> Double # cosh :: Double -> Double # tanh :: Double -> Double # asinh :: Double -> Double # acosh :: Double -> Double # atanh :: Double -> Double # log1p :: Double -> Double # expm1 :: Double -> Double # log1pexp :: Double -> Double # log1mexp :: Double -> Double #
Floating Float	Since: base-2.1
Instance details Defined in GHC.Float Methods pi :: Float # exp :: Float -> Float # log :: Float -> Float # sqrt :: Float -> Float # (**) :: Float -> Float -> Float # logBase :: Float -> Float -> Float # sin :: Float -> Float # cos :: Float -> Float # tan :: Float -> Float # asin :: Float -> Float # acos :: Float -> Float # atan :: Float -> Float # sinh :: Float -> Float # cosh :: Float -> Float # tanh :: Float -> Float # asinh :: Float -> Float # acosh :: Float -> Float # atanh :: Float -> Float # log1p :: Float -> Float # expm1 :: Float -> Float # log1pexp :: Float -> Float # log1mexp :: Float -> Float #
RealFloat a => Floating (Complex a)	Since: base-2.1
Instance details Defined in Data.Complex Methods pi :: Complex a # exp :: Complex a -> Complex a # log :: Complex a -> Complex a # sqrt :: Complex a -> Complex a # (**) :: Complex a -> Complex a -> Complex a # logBase :: Complex a -> Complex a -> Complex a # sin :: Complex a -> Complex a # cos :: Complex a -> Complex a # tan :: Complex a -> Complex a # asin :: Complex a -> Complex a # acos :: Complex a -> Complex a # atan :: Complex a -> Complex a # sinh :: Complex a -> Complex a # cosh :: Complex a -> Complex a # tanh :: Complex a -> Complex a # asinh :: Complex a -> Complex a # acosh :: Complex a ->