Safe Haskell	None
Language	Haskell2010

Interlude

Synopsis

(++) :: [a] -> [a] -> [a]
seq :: a -> b -> b
zip :: [a] -> [b] -> [(a, b)]
fst :: (a, b) -> a
snd :: (a, b) -> b
otherwise :: Bool
($) :: (a -> b) -> a -> b
coerce :: Coercible a b => a -> b
fromIntegral :: (Integral a, Num b) => a -> b
realToFrac :: (Real a, Fractional b) => a -> b
guard :: Alternative f => Bool -> f ()
join :: Monad m => m (m a) -> m a
class Bounded a where
- minBound :: a
- maxBound :: a
class Enum a where
- succ :: a -> a
- pred :: a -> a
- toEnum :: Int -> a
- fromEnum :: a -> Int
- enumFrom :: a -> [a]
- enumFromThen :: a -> a -> [a]
- enumFromTo :: a -> a -> [a]
- enumFromThenTo :: a -> a -> a -> [a]
class Eq a where
- (==) :: a -> a -> Bool
- (/=) :: a -> a -> Bool
class Fractional a => Floating a where
- pi :: a
- exp :: a -> a
- log :: a -> a
- sqrt :: a -> a
- (**) :: a -> a -> a
- logBase :: a -> a -> a
- sin :: a -> a
- cos :: a -> a
- tan :: a -> a
- asin :: a -> a
- acos :: a -> a
- atan :: a -> a
- sinh :: a -> a
- cosh :: a -> a
- tanh :: a -> a
- asinh :: a -> a
- acosh :: a -> a
- atanh :: a -> a
- log1p :: a -> a
- expm1 :: a -> a
- log1pexp :: a -> a
- log1mexp :: a -> a
class Num a => Fractional a where
- (/) :: a -> a -> a
- recip :: a -> a
- fromRational :: Rational -> a
class (Real a, Enum a) => Integral a where
- quot :: a -> a -> a
- rem :: a -> a -> a
- div :: a -> a -> a
- mod :: a -> a -> a
- quotRem :: a -> a -> (a, a)
- divMod :: a -> a -> (a, a)
- toInteger :: a -> Integer
class Applicative m => Monad (m :: Type -> Type) where
- (>>=) :: m a -> (a -> m b) -> m b
- (>>) :: m a -> m b -> m b
- return :: a -> m a
- fail :: String -> m a
class Functor (f :: Type -> Type) where
- fmap :: (a -> b) -> f a -> f b
- (<$) :: 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
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
class Typeable (a :: k)
class Monad m => MonadFix (m :: Type -> Type) where
- mfix :: (a -> m a) -> m a
class IsString 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 -> Type) where
- fold :: Monoid m => t m -> 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
- toList :: 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
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 where
- type Rep a :: Type -> Type
- from :: a -> Rep a x
- to :: Rep a x -> a
class Generic1 (f :: k -> Type)
class Datatype (d :: k) where
- datatypeName :: t d f a -> [Char]
- moduleName :: t d f a -> [Char]
- packageName :: t d f a -> [Char]
- isNewtype :: t d f a -> Bool
class Constructor (c :: k) where
- conName :: t c f a -> [Char]
- conFixity :: t c f a -> Fixity
- conIsRecord :: t c f a -> Bool
class Selector (s :: k) where
- selName :: t s f a -> [Char]
- selSourceUnpackedness :: t s f a -> SourceUnpackedness
- selSourceStrictness :: t s f a -> SourceStrictness
- selDecidedStrictness :: t s f a -> DecidedStrictness
class KnownNat (n :: Nat)
class KnownSymbol (n :: Symbol)
class IsLabel (x :: Symbol) a where
- fromLabel :: a
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
data Char
data Double = D# Double#
data Float = F# Float#
data Int
data Int8
data Int16
data Int32
data Int64
data Integer
data Maybe a
- = Nothing
- | Just a
data Ordering
- = LT
- | EQ
- | GT
data Ratio a = !a :% !a
type Rational = Ratio Integer
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
type Type = Type
data Constraint
data V1 (p :: k) :: forall k. k -> Type
data U1 (p :: k) :: forall k. k -> Type = U1
newtype K1 i c (p :: k) :: forall k. Type -> Type -> k -> Type = K1 {
- unK1 :: c
}
newtype M1 i (c :: Meta) (f :: k -> Type) (p :: k) :: forall k. Type -> Meta -> (k -> Type) -> k -> Type = M1 {
- unM1 :: f p
}
data ((f :: k -> Type) :+: (g :: k -> Type)) (p :: k) :: forall k. (k -> Type) -> (k -> Type) -> k -> Type
- = L1 (f p)
- | R1 (g p)
data ((f :: k -> Type) :*: (g :: k -> Type)) (p :: k) :: forall k. (k -> Type) -> (k -> Type) -> k -> Type = (f p) :*: (g p)
newtype ((f :: k2 -> Type) :.: (g :: k1 -> k2)) (p :: k1) :: forall k2 k1. (k2 -> Type) -> (k1 -> k2) -> k1 -> Type = Comp1 {
- unComp1 :: f (g p)
}
type Rec0 = (K1 R :: Type -> k -> Type)
type D1 = (M1 D :: Meta -> (k -> Type) -> k -> Type)
type C1 = (M1 C :: Meta -> (k -> Type) -> k -> Type)
type S1 = (M1 S :: Meta -> (k -> Type) -> k -> Type)
data family URec a (p :: k) :: Type
data Nat
data Symbol
type family CmpNat (a :: Nat) (b :: Nat) :: Ordering where ...
class a ~R# b => Coercible (a :: k0) (b :: k0)
data StaticPtr a
data CallStack
class Random a where
- randomR :: RandomGen g => (a, a) -> g -> (a, g)
- random :: RandomGen g => g -> (a, g)
- randomRs :: RandomGen g => (a, a) -> g -> [a]
- randoms :: RandomGen g => g -> [a]
- randomRIO :: (a, a) -> IO a
- randomIO :: IO a
data StdGen
class RandomGen g where
- next :: g -> (Int, g)
- genRange :: g -> (Int, Int)
- split :: g -> (g, g)
mkStdGen :: Int -> StdGen
setStdGen :: StdGen -> IO ()
getStdGen :: IO StdGen
newStdGen :: IO StdGen
getStdRandom :: (StdGen -> (a, StdGen)) -> IO a
class MonadTrans (t :: (Type -> Type) -> Type -> Type) where
- lift :: Monad m => m a -> t m a
class (Alternative m, Monad m) => MonadPlus (m :: Type -> Type) where
- mzero :: m a
- mplus :: m a -> m a -> m a
(=<<) :: Monad m => (a -> m b) -> m a -> m b
when :: Applicative f => Bool -> f () -> f ()
liftM :: Monad m => (a1 -> r) -> m a1 -> m r
liftM2 :: Monad m => (a1 -> a2 -> r) -> m a1 -> m a2 -> m r
liftM3 :: Monad m => (a1 -> a2 -> a3 -> r) -> m a1 -> m a2 -> m a3 -> m r
liftM4 :: Monad m => (a1 -> a2 -> a3 -> a4 -> r) -> m a1 -> m a2 -> m a3 -> m a4 -> m r
liftM5 :: Monad m => (a1 -> a2 -> a3 -> a4 -> a5 -> r) -> m a1 -> m a2 -> m a3 -> m a4 -> m a5 -> m r
ap :: Monad m => m (a -> b) -> m a -> m b
void :: Functor f => f a -> f ()
fix :: (a -> a) -> a
mapM_ :: (Foldable t, Monad m) => (a -> m b) -> t a -> m ()
forM_ :: (Foldable t, Monad m) => t a -> (a -> m b) -> m ()
sequence_ :: (Foldable t, Monad m) => t (m a) -> m ()
msum :: (Foldable t, MonadPlus m) => t (m a) -> m a
forM :: (Traversable t, Monad m) => t a -> (a -> m b) -> m (t 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
forever :: Applicative f => f a -> f b
mapAndUnzipM :: Applicative m => (a -> m (b, c)) -> [a] -> m ([b], [c])
zipWithM :: Applicative m => (a -> b -> m c) -> [a] -> [b] -> m [c]
zipWithM_ :: Applicative m => (a -> b -> m c) -> [a] -> [b] -> m ()
foldM :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m b
foldM_ :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m ()
replicateM :: Applicative m => Int -> m a -> m [a]
replicateM_ :: Applicative m => Int -> m a -> m ()
unless :: Applicative f => Bool -> f () -> f ()
(<$!>) :: Monad m => (a -> b) -> m a -> m b
mfilter :: MonadPlus m => (a -> Bool) -> m a -> m a
class Monad m => MonadIO (m :: Type -> Type) where
- liftIO :: IO a -> m a
modify :: MonadState s m => (s -> s) -> m ()
evalRandTIO :: MonadIO m => RandT StdGen m a -> m a
evalRandIO :: Rand StdGen a -> IO a
withRandT :: (g -> g) -> RandT g m a -> RandT g m a
mapRandT :: (m (a, g) -> n (b, g)) -> RandT g m a -> RandT g n b
execRandT :: Monad m => RandT g m a -> g -> m g
evalRandT :: Monad m => RandT g m a -> g -> m a
runRandT :: RandT g m a -> g -> m (a, g)
liftRandT :: (g -> m (a, g)) -> RandT g m a
withRand :: (g -> g) -> Rand g a -> Rand g a
mapRand :: ((a, g) -> (b, g)) -> Rand g a -> Rand g b
execRand :: Rand g a -> g -> g
evalRand :: Rand g a -> g -> a
runRand :: Rand g a -> g -> (a, g)
liftRand :: (g -> (a, g)) -> Rand g a
type Rand g = RandT g Identity
data RandT g (m :: Type -> Type) a
uniformMay :: (Foldable t, MonadRandom m) => t a -> m (Maybe a)
uniform :: (Foldable t, MonadRandom m) => t a -> m a
fromListMay :: MonadRandom m => [(a, Rational)] -> m (Maybe a)
fromList :: MonadRandom m => [(a, Rational)] -> m a
weightedMay :: (Foldable t, MonadRandom m) => t (a, Rational) -> m (Maybe a)
weighted :: (Foldable t, MonadRandom m) => t (a, Rational) -> m a
class Monad m => MonadRandom (m :: Type -> Type) where
- getRandomR :: Random a => (a, a) -> m a
- getRandom :: Random a => m a
- getRandomRs :: Random a => (a, a) -> m [a]
- getRandoms :: Random a => m [a]
class Monad m => MonadSplit g (m :: Type -> Type) | m -> g where
- getSplit :: m g
class MonadRandom m => MonadInterleave (m :: Type -> Type) where
- interleave :: m a -> m a
either :: (a -> c) -> (b -> c) -> Either a b -> c
class Monad m => MonadReader r (m :: Type -> Type) | m -> r where
- ask :: m r
- local :: (r -> r) -> m a -> m a
- reader :: (r -> a) -> m a
class Monad m => MonadState s (m :: Type -> Type) | m -> s where
- get :: m s
- put :: s -> m ()
- state :: (s -> (a, s)) -> m a
data ByteString
(<$>) :: Functor f => (a -> b) -> f a -> f b
class Hashable a where
- hashWithSalt :: Int -> a -> Int
- hash :: a -> Int
data Text
data Map k a
mkLiftParseJSON2 :: Options -> Name -> Q Exp
mkLiftParseJSON :: Options -> Name -> Q Exp
mkParseJSON :: Options -> Name -> Q Exp
deriveFromJSON2 :: Options -> Name -> Q [Dec]
deriveFromJSON1 :: Options -> Name -> Q [Dec]
deriveFromJSON :: Options -> Name -> Q [Dec]
mkLiftToEncoding2 :: Options -> Name -> Q Exp
mkLiftToEncoding :: Options -> Name -> Q Exp
mkToEncoding :: Options -> Name -> Q Exp
mkLiftToJSON2 :: Options -> Name -> Q Exp
mkLiftToJSON :: Options -> Name -> Q Exp
mkToJSON :: Options -> Name -> Q Exp
deriveToJSON2 :: Options -> Name -> Q [Dec]
deriveToJSON1 :: Options -> Name -> Q [Dec]
deriveToJSON :: Options -> Name -> Q [Dec]
deriveJSON2 :: Options -> Name -> Q [Dec]
deriveJSON1 :: Options -> Name -> Q [Dec]
deriveJSON :: Options -> Name -> Q [Dec]
class ToJSON a
class FromJSON a
defaultTaggedObject :: SumEncoding
defaultOptions :: Options
data Options
data SumEncoding
- = TaggedObject {
  - tagFieldName :: String
  - contentsFieldName :: String
  }
- | UntaggedValue
- | ObjectWithSingleField
- | TwoElemArray
data Handle
data ST s a
forkOnWithUnmask :: Int -> ((forall a. IO a -> IO a) -> IO ()) -> IO ThreadId
forkIOWithUnmask :: ((forall a. IO a -> IO a) -> IO ()) -> IO ThreadId
forkOn :: Int -> IO () -> IO ThreadId
forkOS :: IO () -> IO ThreadId
data ThreadId
concurrently :: IO a -> IO b -> IO (a, b)
race_ :: IO a -> IO b -> IO ()
race :: IO a -> IO b -> IO (Either a b)
link2 :: Async a -> Async b -> IO ()
link :: Async a -> IO ()
waitBoth :: Async a -> Async b -> IO (a, b)
waitEitherCancel :: Async a -> Async b -> IO (Either a b)
waitEither_ :: Async a -> Async b -> IO ()
waitEither :: Async a -> Async b -> IO (Either a b)
waitEitherCatchCancel :: Async a -> Async b -> IO (Either (Either SomeException a) (Either SomeException b))
waitEitherCatch :: Async a -> Async b -> IO (Either (Either SomeException a) (Either SomeException b))
waitAnyCancel :: [Async a] -> IO (Async a, a)
waitAny :: [Async a] -> IO (Async a, a)
waitAnyCatchCancel :: [Async a] -> IO (Async a, Either SomeException a)
waitAnyCatch :: [Async a] -> IO (Async a, Either SomeException a)
cancelWith :: Exception e => Async a -> e -> IO ()
cancel :: Async a -> IO ()
poll :: Async a -> IO (Maybe (Either SomeException a))
waitCatch :: Async a -> IO (Either SomeException a)
withAsyncOn :: Int -> IO a -> (Async a -> IO b) -> IO b
withAsyncBound :: IO a -> (Async a -> IO b) -> IO b
withAsync :: IO a -> (Async a -> IO b) -> IO b
asyncOn :: Int -> IO a -> IO (Async a)
asyncBound :: IO a -> IO (Async a)
async :: IO a -> IO (Async a)
data Async a
newtype Concurrently a = Concurrently {
- runConcurrently :: IO a
}
isSpace :: Char -> Bool
isAlpha :: Char -> Bool
isDigit :: Char -> Bool
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]
integralEnumFromThenTo :: Integral a => a -> a -> a -> [a]
integralEnumFromTo :: Integral a => a -> a -> [a]
integralEnumFromThen :: (Integral a, Bounded a) => a -> a -> [a]
integralEnumFrom :: (Integral a, Bounded a) => a -> [a]
gcdWord' :: Word -> Word -> Word
gcdInt' :: Int -> Int -> Int
(^^%^^) :: Integral a => Rational -> a -> Rational
(^%^) :: Integral a => Rational -> a -> Rational
numericEnumFromThenTo :: (Ord a, Fractional a) => a -> a -> a -> [a]
numericEnumFromTo :: (Ord a, Fractional a) => a -> a -> [a]
numericEnumFromThen :: Fractional a => a -> a -> [a]
numericEnumFrom :: Fractional a => a -> [a]
notANumber :: Rational
infinity :: Rational
ratioPrec1 :: Int
ratioPrec :: Int
underflowError :: a
overflowError :: a
ratioZeroDenominatorError :: a
divZeroError :: a
reduce :: Integral a => a -> a -> Ratio a
boundedEnumFromThen :: (Enum a, Bounded a) => a -> a -> [a]
boundedEnumFrom :: (Enum a, Bounded a) => a -> [a]
maxInt :: Int
minInt :: Int
phase :: RealFloat a => Complex a -> a
magnitude :: RealFloat a => Complex a -> a
polar :: RealFloat a => Complex a -> (a, a)
cis :: Floating a => a -> Complex a
mkPolar :: Floating a => a -> a -> Complex a
conjugate :: Num a => Complex a -> Complex a
imagPart :: Complex a -> a
realPart :: Complex a -> a
data Complex a = !a :+ !a
vacuous :: Functor f => f Void -> f a
absurd :: Void -> a
data Void
option :: b -> (a -> b) -> Option a -> b
mtimesDefault :: (Integral b, Monoid a) => b -> a -> a
diff :: Semigroup m => m -> Endo m
cycle1 :: Semigroup m => m -> m
data WrappedMonoid m
newtype Option a = Option {
- getOption :: Maybe a
}
threadWaitWriteSTM :: Fd -> IO (STM (), IO ())
threadWaitReadSTM :: Fd -> IO (STM (), IO ())
threadWaitWrite :: Fd -> IO ()
threadWaitRead :: Fd -> IO ()
runInUnboundThread :: IO a -> IO a
runInBoundThread :: IO a -> IO a
isCurrentThreadBound :: IO Bool
forkOSWithUnmask :: ((forall a. IO a -> IO a) -> IO ()) -> IO ThreadId
forkFinally :: IO a -> (Either SomeException a -> IO ()) -> IO ThreadId
rtsSupportsBoundThreads :: Bool
writeList2Chan :: Chan a -> [a] -> IO ()
getChanContents :: Chan a -> IO [a]
dupChan :: Chan a -> IO (Chan a)
readChan :: Chan a -> IO a
writeChan :: Chan a -> a -> IO ()
newChan :: IO (Chan a)
data Chan a
signalQSem :: QSem -> IO ()
waitQSem :: QSem -> IO ()
newQSem :: Int -> IO QSem
data QSem
signalQSemN :: QSemN -> Int -> IO ()
waitQSemN :: QSemN -> Int -> IO ()
newQSemN :: Int -> IO QSemN
data 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
nonEmpty :: [a] -> Maybe (NonEmpty a)
showStackTrace :: IO (Maybe String)
getStackTrace :: IO (Maybe [Location])
data SrcLoc = SrcLoc {
- sourceFile :: String
- sourceLine :: Int
- sourceColumn :: Int
}
data Location = Location {
- objectName :: String
- functionName :: String
- srcLoc :: Maybe SrcLoc
}
getArgs :: IO [String]
exitSuccess :: IO a
exitFailure :: IO a
exitWith :: ExitCode -> IO a
foldMapDefault :: (Traversable t, Monoid m) => (a -> m) -> t a -> m
fmapDefault :: Traversable t => (a -> b) -> t a -> t b
mapAccumR :: Traversable t => (a -> b -> (a, c)) -> a -> t b -> (a, t c)
mapAccumL :: Traversable t => (a -> b -> (a, c)) -> a -> t b -> (a, t c)
for :: (Traversable t, Applicative f) => t a -> (a -> f b) -> f (t b)
optional :: Alternative f => f a -> f (Maybe a)
newtype ZipList a = ZipList {
- getZipList :: [a]
}
newtype Identity a = Identity {
- runIdentity :: a
}
withFile :: FilePath -> IOMode -> (Handle -> IO r) -> IO r
openFile :: FilePath -> IOMode -> IO Handle
stderr :: Handle
stdin :: Handle
threadDelay :: Int -> IO ()
mkWeakMVar :: MVar a -> IO () -> IO (Weak (MVar a))
addMVarFinalizer :: MVar a -> IO () -> IO ()
modifyMVarMasked :: MVar a -> (a -> IO (a, b)) -> IO b
modifyMVarMasked_ :: MVar a -> (a -> IO a) -> IO ()
modifyMVar :: MVar a -> (a -> IO (a, b)) -> IO b
modifyMVar_ :: MVar a -> (a -> IO a) -> IO ()
withMVarMasked :: MVar a -> (a -> IO b) -> IO b
withMVar :: MVar a -> (a -> IO b) -> IO b
swapMVar :: MVar a -> a -> IO a
withFrozenCallStack :: HasCallStack => (HasCallStack -> a) -> a
callStack :: HasCallStack -> CallStack
allowInterrupt :: IO ()
fixST :: (a -> ST s a) -> ST s a
bracketOnError :: IO a -> (a -> IO b) -> (a -> IO c) -> IO c
bracket_ :: IO a -> IO b -> IO c -> IO c
finally :: IO a -> IO b -> IO a
bracket :: IO a -> (a -> IO b) -> (a -> IO c) -> IO c
onException :: IO a -> IO b -> IO a
tryJust :: Exception e => (e -> Maybe b) -> IO a -> IO (Either b a)
mapException :: (Exception e1, Exception e2) => (e1 -> e2) -> a -> a
handleJust :: Exception e => (e -> Maybe b) -> (b -> IO a) -> IO a -> IO a
catchJust :: Exception e => (e -> Maybe b) -> IO a -> (b -> IO a) -> IO a
newtype PatternMatchFail = PatternMatchFail String
newtype RecSelError = RecSelError String
newtype RecConError = RecConError String
newtype RecUpdError = RecUpdError String
newtype NoMethodError = NoMethodError String
newtype TypeError = TypeError String
data NonTermination = NonTermination
data NestedAtomically = NestedAtomically
catchSTM :: Exception e => STM a -> (e -> STM a) -> STM a
throwSTM :: Exception e => e -> STM a
orElse :: STM a -> STM a -> STM a
retry :: STM a
atomically :: STM a -> IO a
mkWeakThreadId :: ThreadId -> IO (Weak ThreadId)
threadCapability :: ThreadId -> IO (Int, Bool)
myThreadId :: IO ThreadId
killThread :: ThreadId -> IO ()
setNumCapabilities :: Int -> IO ()
getNumCapabilities :: IO Int
forkIO :: IO () -> IO ThreadId
data STM a
ioError :: IOError -> IO a
asyncExceptionFromException :: Exception e => SomeException -> Maybe e
asyncExceptionToException :: Exception e => e -> SomeException
data BlockedIndefinitelyOnMVar = BlockedIndefinitelyOnMVar
data BlockedIndefinitelyOnSTM = BlockedIndefinitelyOnSTM
data Deadlock = Deadlock
data AllocationLimitExceeded = AllocationLimitExceeded
newtype CompactionFailed = CompactionFailed String
newtype AssertionFailed = AssertionFailed String
data SomeAsyncException where
- SomeAsyncException :: forall e. Exception e => e -> SomeAsyncException
data AsyncException
- = StackOverflow
- | HeapOverflow
- | ThreadKilled
- | UserInterrupt
data ArrayException
- = IndexOutOfBounds String
- | UndefinedElement String
data ExitCode
- = ExitSuccess
- | ExitFailure Int
stdout :: Handle
evaluate :: a -> IO a
uninterruptibleMask :: ((forall a. IO a -> IO a) -> IO b) -> IO b
uninterruptibleMask_ :: IO a -> IO a
mask :: ((forall a. IO a -> IO a) -> IO b) -> IO b
mask_ :: IO a -> IO a
getMaskingState :: IO MaskingState
interruptible :: IO a -> IO a
type FilePath = String
data MaskingState
- = Unmasked
- | MaskedInterruptible
- | MaskedUninterruptible
data IOException
prettyCallStack :: CallStack -> String
prettySrcLoc :: SrcLoc -> String
data ErrorCall where
- ErrorCallWithLocation String String
- pattern ErrorCall :: String -> ErrorCall
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
eqT :: (Typeable a, Typeable b) => Maybe (a :~: b)
cast :: (Typeable a, Typeable b) => a -> Maybe b
typeRep :: Typeable a => proxy a -> TypeRep
type TypeRep = SomeTypeRep
newtype Const a (b :: k) :: forall k. Type -> k -> Type = Const {
- getConst :: a
}
find :: Foldable t => (a -> Bool) -> t a -> Maybe a
notElem :: (Foldable t, Eq a) => a -> t a -> Bool
minimumBy :: Foldable t => (a -> a -> Ordering) -> t a -> a
maximumBy :: Foldable t => (a -> a -> Ordering) -> t a -> a
all :: Foldable t => (a -> Bool) -> t a -> Bool
any :: Foldable t => (a -> Bool) -> t a -> Bool
or :: Foldable t => t Bool -> Bool
and :: Foldable t => t Bool -> Bool
concatMap :: Foldable t => (a -> [b]) -> t a -> [b]
concat :: Foldable t => t [a] -> [a]
asum :: (Foldable t, Alternative f) => t (f a) -> f a
sequenceA_ :: (Foldable t, Applicative f) => t (f a) -> f ()
for_ :: (Foldable t, Applicative f) => t a -> (a -> f b) -> f ()
traverse_ :: (Foldable t, Applicative f) => (a -> f b) -> t a -> f ()
foldlM :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m b
foldrM :: (Foldable t, Monad m) => (a -> b -> m b) -> b -> t a -> m b
newtype First a = First {
- getFirst :: Maybe a
}
newtype Last a = Last {
- getLast :: Maybe a
}
newtype Ap (f :: k -> Type) (a :: k) :: forall k. (k -> Type) -> k -> Type = Ap {
- getAp :: f a
}
stimesMonoid :: (Integral b, Monoid a) => b -> a -> a
stimesIdempotent :: Integral b => b -> a -> a
newtype Dual a = Dual {
- getDual :: a
}
newtype Endo a = Endo {
- appEndo :: a -> a
}
newtype All = All {
- getAll :: Bool
}
newtype Any = Any {
- getAny :: Bool
}
newtype Sum a = Sum {
- getSum :: a
}
newtype Product a = Product {
- getProduct :: a
}
newtype Alt (f :: k -> Type) (a :: k) :: forall k. (k -> Type) -> k -> Type = Alt {
- getAlt :: f a
}
data Fixity
- = Prefix
- | Infix Associativity Int
data FixityI
- = PrefixI
- | InfixI Associativity Nat
data Associativity
- = LeftAssociative
- | RightAssociative
- | NotAssociative
data Meta
- = MetaData Symbol Symbol Symbol Bool
- | MetaCons Symbol FixityI Bool
- | MetaSel (Maybe Symbol) SourceUnpackedness SourceStrictness DecidedStrictness
someSymbolVal :: String -> SomeSymbol
someNatVal :: Integer -> Maybe SomeNat
symbolVal :: KnownSymbol n => proxy n -> String
natVal :: KnownNat n => proxy n -> Integer
data SomeSymbol where
- SomeSymbol :: forall (n :: Symbol). KnownSymbol n => Proxy n -> SomeSymbol
data SomeNat where
- SomeNat :: forall (n :: Nat). KnownNat n => Proxy n -> SomeNat
unfoldr :: (b -> Maybe (a, b)) -> b -> [a]
sortBy :: (a -> a -> Ordering) -> [a] -> [a]
sort :: Ord a => [a] -> [a]
permutations :: [a] -> [[a]]
subsequences :: [a] -> [[a]]
tails :: [a] -> [[a]]
inits :: [a] -> [[a]]
groupBy :: (a -> a -> Bool) -> [a] -> [[a]]
group :: Eq a => [a] -> [[a]]
genericReplicate :: Integral i => i -> a -> [a]
genericSplitAt :: Integral i => i -> [a] -> ([a], [a])
genericDrop :: Integral i => i -> [a] -> [a]
genericTake :: Integral i => i -> [a] -> [a]
genericLength :: Num i => [a] -> i
transpose :: [[a]] -> [[a]]
intercalate :: [a] -> [[a]] -> [a]
intersperse :: a -> [a] -> [a]
isPrefixOf :: Eq a => [a] -> [a] -> Bool
isSeparator :: Char -> Bool
isNumber :: Char -> Bool
isMark :: Char -> Bool
isLetter :: Char -> Bool
digitToInt :: Char -> Int
readMaybe :: Read a => String -> Maybe a
readEither :: Read a => String -> Either String a
reads :: Read a => ReadS a
fromRight :: b -> Either a b -> b
fromLeft :: a -> Either a b -> a
isRight :: Either a b -> Bool
isLeft :: Either a b -> Bool
partitionEithers :: [Either a b] -> ([a], [b])
rights :: [Either a b] -> [b]
lefts :: [Either a b] -> [a]
comparing :: Ord a => (b -> a) -> b -> b -> Ordering
newtype Down a = Down a
data Proxy (t :: k) :: forall k. k -> Type = Proxy
repr :: (a :~: b) -> Coercion a b
coerceWith :: Coercion a b -> a -> b
data Coercion (a :: k) (b :: k) :: forall k. k -> k -> Type where
- Coercion :: forall k (a :: k) (b :: k). Coercible a b => Coercion a b
gcastWith :: (a :~: b) -> ((a ~ b) -> r) -> r
castWith :: (a :~: b) -> a -> b
trans :: (a :~: b) -> (b :~: c) -> a :~: c
sym :: (a :~: b) -> b :~: a
data (a :: k) :~: (b :: k) :: forall k. k -> k -> Type where
- Refl :: forall k (a :: k) (b :: k). a :~: a
type family (a :: k) == (b :: k) :: Bool where ...
data WordPtr
data IntPtr
data IOMode
- = ReadMode
- | WriteMode
- | AppendMode
- | ReadWriteMode
class Storable a
readLitChar :: ReadS Char
lexLitChar :: ReadS String
byteSwap64 :: Word64 -> Word64
byteSwap32 :: Word32 -> Word32
byteSwap16 :: Word16 -> Word16
toTitle :: Char -> Char
toUpper :: Char -> Char
toLower :: Char -> Char
isLower :: Char -> Bool
isUpper :: Char -> Bool
isPrint :: Char -> Bool
isControl :: Char -> Bool
isAlphaNum :: Char -> Bool
isSymbol :: Char -> Bool
isPunctuation :: Char -> Bool
isHexDigit :: Char -> Bool
isOctDigit :: Char -> Bool
isAsciiUpper :: Char -> Bool
isAsciiLower :: Char -> Bool
isLatin1 :: Char -> Bool
isAscii :: Char -> Bool
generalCategory :: Char -> GeneralCategory
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
runST :: (forall s. ST s a) -> a
toIntegralSized :: (Integral a, Integral b, Bits a, Bits b) => a -> Maybe b
popCountDefault :: (Bits a, Num a) => a -> Int
testBitDefault :: (Bits a, Num a) => a -> Int -> Bool
bitDefault :: (Bits a, Num a) => Int -> a
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
- shiftR :: a -> Int -> a
- rotateL :: a -> Int -> a
- rotateR :: a -> Int -> a
- popCount :: a -> Int
class Bits b => FiniteBits b where
- finiteBitSize :: b -> Int
- countLeadingZeros :: b -> Int
- countTrailingZeros :: b -> Int
(&) :: a -> (a -> b) -> b
on :: (b -> b -> c) -> (a -> b) -> a -> a -> c
($>) :: Functor f => f a -> b -> f b
(<&>) :: Functor f => f a -> (a -> b) -> f b
lcm :: Integral a => a -> a -> a
gcd :: Integral a => a -> a -> a
(^^) :: (Fractional a, Integral b) => a -> b -> a
(^) :: (Num a, Integral b) => a -> b -> a
odd :: Integral a => a -> Bool
even :: Integral a => a -> Bool
denominator :: Ratio a -> a
numerator :: Ratio a -> a
(%) :: Integral a => a -> a -> Ratio a
chr :: Int -> Char
intToDigit :: Int -> Char
showLitChar :: Char -> ShowS
unzip :: [(a, b)] -> ([a], [b])
zipWith :: (a -> b -> c) -> [a] -> [b] -> [c]
reverse :: [a] -> [a]
break :: (a -> Bool) -> [a] -> ([a], [a])
splitAt :: Int -> [a] -> ([a], [a])
drop :: Int -> [a] -> [a]
take :: Int -> [a] -> [a]
dropWhile :: (a -> Bool) -> [a] -> [a]
takeWhile :: (a -> Bool) -> [a] -> [a]
cycle :: [a] -> [a]
replicate :: Int -> a -> [a]
repeat :: a -> [a]
iterate :: (a -> a) -> a -> [a]
scanr :: (a -> b -> b) -> b -> [a] -> [b]
scanl' :: (b -> a -> b) -> b -> [a] -> [b]
scanl :: (b -> a -> b) -> b -> [a] -> [b]
listToMaybe :: [a] -> Maybe a
maybeToList :: Maybe a -> [a]
fromMaybe :: a -> Maybe a -> a
isNothing :: Maybe a -> Bool
isJust :: Maybe a -> Bool
maybe :: b -> (a -> b) -> Maybe a -> b
swap :: (a, b) -> (b, a)
uncurry :: (a -> b -> c) -> (a, b) -> c
curry :: ((a, b) -> c) -> a -> b -> c
isEmptyMVar :: MVar a -> IO Bool
tryReadMVar :: MVar a -> IO (Maybe a)
tryPutMVar :: MVar a -> a -> IO Bool
tryTakeMVar :: MVar a -> IO (Maybe a)
putMVar :: MVar a -> a -> IO ()
readMVar :: MVar a -> IO a
takeMVar :: MVar a -> IO a
newMVar :: a -> IO (MVar a)
newEmptyMVar :: IO (MVar a)
data MVar a
subtract :: Num a => a -> a -> a
currentCallStack :: IO [String]
asTypeOf :: a -> a -> a
until :: (a -> Bool) -> (a -> a) -> a -> a
flip :: (a -> b -> c) -> b -> a -> c
(.) :: (b -> c) -> (a -> b) -> a -> c
const :: a -> b -> a
ord :: Char -> Int
liftA3 :: Applicative f => (a -> b -> c -> d) -> f a -> f b -> f c -> f d
liftA :: Applicative f => (a -> b) -> f a -> f b
(<**>) :: Applicative f => f a -> f (a -> b) -> f b
data NonEmpty a = a :| [a]
error :: HasCallStack => [Char] -> a
getCallStack :: CallStack -> [([Char], SrcLoc)]
type HasCallStack = ?callStack :: CallStack
stimesIdempotentMonoid :: (Integral b, Monoid a) => b -> a -> a
data SomeException where
- SomeException :: forall e. Exception e => e -> SomeException
(&&) :: Bool -> Bool -> Bool
(||) :: Bool -> Bool -> Bool
not :: Bool -> Bool
data IntMap a
data IntSet
data Seq a
data Set a
force :: NFData a => a -> a
($!!) :: NFData a => (a -> b) -> a -> b
deepseq :: NFData a => a -> b -> b
class NFData a where
- rnf :: a -> ()
newtype ExceptT e (m :: Type -> Type) a = ExceptT (m (Either e a))
catches :: (Foldable f, MonadCatch m) => m a -> f (Handler m a) -> m a
try :: (MonadCatch m, Exception e) => m a -> m (Either e a)
handleIf :: (MonadCatch m, Exception e) => (e -> Bool) -> (e -> m a) -> m a -> m a
handle :: (MonadCatch m, Exception e) => (e -> m a) -> m a -> m a
catchIf :: (MonadCatch m, Exception e) => (e -> Bool) -> m a -> (e -> m a) -> m a
class Monad m => MonadThrow (m :: Type -> Type) where
- throwM :: Exception e => e -> m a
class MonadThrow m => MonadCatch (m :: Type -> Type) where
- catch :: Exception e => m a -> (e -> m a) -> m a
data Handler (m :: Type -> Type) a where
- Handler :: forall (m :: Type -> Type) a e. Exception e => (e -> m a) -> Handler m a
hashUsing :: Hashable b => (a -> b) -> Int -> a -> Int
class Monad m => MonadError e (m :: Type -> Type) | m -> e where
- throwError :: e -> m a
- catchError :: m a -> (e -> m a) -> m a
toStrict :: Text -> Text
runState :: State s a -> s -> (a, s)
type State s = StateT s Identity
type Reader r = ReaderT r Identity
gets :: MonadState s m => (s -> a) -> m a
defaultFieldRules :: LensRules
makeFieldsNoPrefix :: Name -> DecsQ
makeFields :: Name -> DecsQ
abbreviatedNamer :: FieldNamer
abbreviatedFields :: LensRules
classUnderscoreNoPrefixNamer :: FieldNamer
classUnderscoreNoPrefixFields :: LensRules
camelCaseNamer :: FieldNamer
camelCaseFields :: LensRules
underscoreNamer :: FieldNamer
underscoreFields :: LensRules
makeWrapped :: Name -> DecsQ
declareLensesWith :: LensRules -> DecsQ -> DecsQ
declareFields :: DecsQ -> DecsQ
declareWrapped :: DecsQ -> DecsQ
declarePrisms :: DecsQ -> DecsQ
declareClassyFor :: [(String, (String, String))] -> [(String, String)] -> DecsQ -> DecsQ
declareClassy :: DecsQ -> DecsQ
declareLensesFor :: [(String, String)] -> DecsQ -> DecsQ
declareLenses :: DecsQ -> DecsQ
makeLensesWith :: LensRules -> Name -> DecsQ
makeClassyFor :: String -> String -> [(String, String)] -> Name -> DecsQ
makeLensesFor :: [(String, String)] -> Name -> DecsQ
makeClassy_ :: Name -> DecsQ
makeClassy :: Name -> DecsQ
makeLenses :: Name -> DecsQ
classyRules_ :: LensRules
classyRules :: LensRules
mappingNamer :: (String -> [String]) -> FieldNamer
lookingupNamer :: [(String, String)] -> FieldNamer
lensRulesFor :: [(String, String)] -> LensRules
underscoreNoPrefixNamer :: FieldNamer
lensRules :: LensRules
lensClass :: Lens' LensRules ClassyNamer
lensField :: Lens' LensRules FieldNamer
createClass :: Lens' LensRules Bool
generateLazyPatterns :: Lens' LensRules Bool
generateUpdateableOptics :: Lens' LensRules Bool
generateSignatures :: Lens' LensRules Bool
simpleLenses :: Lens' LensRules Bool
data LensRules
type FieldNamer = Name -> [Name] -> Name -> [DefName]
data DefName
- = TopName Name
- | MethodName Name Name
type ClassyNamer = Name -> Maybe (Name, Name)
makeClassyPrisms :: Name -> DecsQ
makePrisms :: Name -> DecsQ
(...) :: (Applicative f, Plated c) => LensLike f s t c c -> Over p f c c a b -> Over p f s t a b
(|>) :: Snoc s s a a => s -> a -> s
(<|) :: Cons s s a a => a -> s -> s
(<.>) :: Indexable (i, j) p => (Indexed i s t -> r) -> (Indexed j a b -> s -> t) -> p a b -> r
(.>) :: (st -> r) -> (kab -> st) -> kab -> r
(<.) :: Indexable i p => (Indexed i s t -> r) -> ((a -> b) -> s -> t) -> p a b -> r
(^@?!) :: HasCallStack => s -> IndexedGetting i (Endo (i, a)) s a -> (i, a)
(^@?) :: s -> IndexedGetting i (Endo (Maybe (i, a))) s a -> Maybe (i, a)
(^@..) :: s -> IndexedGetting i (Endo [(i, a)]) s a -> [(i, a)]
(^?!) :: HasCallStack => s -> Getting (Endo a) s a -> a
(^?) :: s -> Getting (First a) s a -> Maybe a
(^..) :: s -> Getting (Endo [a]) s a -> [a]
(#) :: AReview t b -> b -> t
(^@.) :: s -> IndexedGetting i (i, a) s a -> (i, a)
(^.) :: s -> Getting a s a -> a
view :: MonadReader s m => Getting a s a -> m a
(<#=) :: MonadState s m => ALens s s a b -> b -> m b
(<#~) :: ALens s t a b -> b -> s -> (b, t)
(#%%=) :: MonadState s m => ALens s s a b -> (a -> (r, b)) -> m r
(<#%=) :: MonadState s m => ALens s s a b -> (a -> b) -> m b
(<#%~) :: ALens s t a b -> (a -> b) -> s -> (b, t)
(#%=) :: MonadState s m => ALens s s a b -> (a -> b) -> m ()
(#=) :: MonadState s m => ALens s s a b -> b -> m ()
(#%%~) :: Functor f => ALens s t a b -> (a -> f b) -> s -> f t
(#%~) :: ALens s t a b -> (a -> b) -> s -> t
(#~) :: ALens s t a b -> b -> s -> t
(^#) :: s -> ALens s t a b -> a
(<<%@=) :: MonadState s m => Over (Indexed i) ((,) a) s s a b -> (i -> a -> b) -> m a
(<%@=) :: MonadState s m => Over (Indexed i) ((,) b) s s a b -> (i -> a -> b) -> m b
(%%@=) :: MonadState s m => Over (Indexed i) ((,) r) s s a b -> (i -> a -> (r, b)) -> m r
(%%@~) :: Over (Indexed i) f s t a b -> (i -> a -> f b) -> s -> f t
(<<%@~) :: Over (Indexed i) ((,) a) s t a b -> (i -> a -> b) -> s -> (a, t)
(<%@~) :: Over (Indexed i) ((,) b) s t a b -> (i -> a -> b) -> s -> (b, t)
(<<>=) :: (MonadState s m, Monoid r) => LensLike' ((,) r) s r -> r -> m r
(<<>~) :: Monoid m => LensLike ((,) m) s t m m -> m -> s -> (m, t)
(<<~) :: MonadState s m => ALens s s a b -> m b -> m b
(<<<>=) :: (MonadState s m, Monoid r) => LensLike' ((,) r) s r -> r -> m r
(<<&&=) :: MonadState s m => LensLike' ((,) Bool) s Bool -> Bool -> m Bool
(<<||=) :: MonadState s m => LensLike' ((,) Bool) s Bool -> Bool -> m Bool
(<<**=) :: (MonadState s m, Floating a) => LensLike' ((,) a) s a -> a -> m a
(<<^^=) :: (MonadState s m, Fractional a, Integral e) => LensLike' ((,) a) s a -> e -> m a
(<<^=) :: (MonadState s m, Num a, Integral e) => LensLike' ((,) a) s a -> e -> m a
(<<//=) :: (MonadState s m, Fractional a) => LensLike' ((,) a) s a -> a -> m a
(<<*=) :: (MonadState s m, Num a) => LensLike' ((,) a) s a -> a -> m a
(<<-=) :: (MonadState s m, Num a) => LensLike' ((,) a) s a -> a -> m a
(<<+=) :: (MonadState s m, Num a) => LensLike' ((,) a) s a -> a -> m a
(<<?=) :: MonadState s m => LensLike ((,) a) s s a (Maybe b) -> b -> m a
(<<.=) :: MonadState s m => LensLike ((,) a) s s a b -> b -> m a
(<<%=) :: (Strong p, MonadState s m) => Over p ((,) a) s s a b -> p a b -> m a
(<&&=) :: MonadState s m => LensLike' ((,) Bool) s Bool -> Bool -> m Bool
(<||=) :: MonadState s m => LensLike' ((,) Bool) s Bool -> Bool -> m Bool
(<**=) :: (MonadState s m, Floating a) => LensLike' ((,) a) s a -> a -> m a
(<^^=) :: (MonadState s m, Fractional a, Integral e) => LensLike' ((,) a) s a -> e -> m a
(<^=) :: (MonadState s m, Num a, Integral e) => LensLike' ((,) a) s a -> e -> m a
(<//=) :: (MonadState s m, Fractional a) => LensLike' ((,) a) s a -> a -> m a
(<*=) :: (MonadState s m, Num a) => LensLike' ((,) a) s a -> a -> m a
(<-=) :: (MonadState s m, Num a) => LensLike' ((,) a) s a -> a -> m a
(<+=) :: (MonadState s m, Num a) => LensLike' ((,) a) s a -> a -> m a
(<%=) :: MonadState s m => LensLike ((,) b) s s a b -> (a -> b) -> m b
(<<<>~) :: Monoid r => LensLike' ((,) r) s r -> r -> s -> (r, s)
(<<&&~) :: LensLike' ((,) Bool) s Bool -> Bool -> s -> (Bool, s)
(<<||~) :: LensLike' ((,) Bool) s Bool -> Bool -> s -> (Bool, s)
(<<**~) :: Floating a => LensLike' ((,) a) s a -> a -> s -> (a, s)
(<<^^~) :: (Fractional a, Integral e) => LensLike' ((,) a) s a -> e -> s -> (a, s)
(<<^~) :: (Num a, Integral e) => LensLike' ((,) a) s a -> e -> s -> (a, s)
(<<//~) :: Fractional a => LensLike' ((,) a) s a -> a -> s -> (a, s)
(<<*~) :: Num a => LensLike' ((,) a) s a -> a -> s -> (a, s)
(<<-~) :: Num a => LensLike' ((,) a) s a -> a -> s -> (a, s)
(<<+~) :: Num a => LensLike' ((,) a) s a -> a -> s -> (a, s)
(<<?~) :: LensLike ((,) a) s t a (Maybe b) -> b -> s -> (a, t)
(<<.~) :: LensLike ((,) a) s t a b -> b -> s -> (a, t)
(<<%~) :: LensLike ((,) a) s t a b -> (a -> b) -> s -> (a, t)
(<&&~) :: LensLike ((,) Bool) s t Bool Bool -> Bool -> s -> (Bool, t)
(<||~) :: LensLike ((,) Bool) s t Bool Bool -> Bool -> s -> (Bool, t)
(<**~) :: Floating a => LensLike ((,) a) s t a a -> a -> s -> (a, t)
(<^^~) :: (Fractional a, Integral e) => LensLike ((,) a) s t a a -> e -> s -> (a, t)
(<^~) :: (Num a, Integral e) => LensLike ((,) a) s t a a -> e -> s -> (a, t)
(<//~) :: Fractional a => LensLike ((,) a) s t a a -> a -> s -> (a, t)
(<*~) :: Num a => LensLike ((,) a) s t a a -> a -> s -> (a, t)
(<-~) :: Num a => LensLike ((,) a) s t a a -> a -> s -> (a, t)
(<+~) :: Num a => LensLike ((,) a) s t a a -> a -> s -> (a, t)
(<%~) :: LensLike ((,) b) s t a b -> (a -> b) -> s -> (b, t)
(??) :: Functor f => f (a -> b) -> a -> f b
(%%=) :: MonadState s m => Over p ((,) r) s s a b -> p a (r, b) -> m r
(%%~) :: LensLike f s t a b -> (a -> f b) -> s -> f t
(&~) :: s -> State s a -> s
(.@=) :: MonadState s m => AnIndexedSetter i s s a b -> (i -> b) -> m ()
(%@=) :: MonadState s m => AnIndexedSetter i s s a b -> (i -> a -> b) -> m ()
(.@~) :: AnIndexedSetter i s t a b -> (i -> b) -> s -> t
(%@~) :: AnIndexedSetter i s t a b -> (i -> a -> b) -> s -> t
(<>=) :: (MonadState s m, Monoid a) => ASetter' s a -> a -> m ()
(<>~) :: Monoid a => ASetter s t a a -> a -> s -> t
(<?=) :: MonadState s m => ASetter s s a (Maybe b) -> b -> m b
(<.=) :: MonadState s m => ASetter s s a b -> b -> m b
(<~) :: MonadState s m => ASetter s s a b -> m b -> m ()
(||=) :: MonadState s m => ASetter' s Bool -> Bool -> m ()
(&&=) :: MonadState s m => ASetter' s Bool -> Bool -> m ()
(**=) :: (MonadState s m, Floating a) => ASetter' s a -> a -> m ()
(^^=) :: (MonadState s m, Fractional a, Integral e) => ASetter' s a -> e -> m ()
(^=) :: (MonadState s m, Num a, Integral e) => ASetter' s a -> e -> m ()
(//=) :: (MonadState s m, Fractional a) => ASetter' s a -> a -> m ()
(*=) :: (MonadState s m, Num a) => ASetter' s a -> a -> m ()
(-=) :: (MonadState s m, Num a) => ASetter' s a -> a -> m ()
(+=) :: (MonadState s m, Num a) => ASetter' s a -> a -> m ()
(?=) :: MonadState s m => ASetter s s a (Maybe b) -> b -> m ()
(%=) :: MonadState s m => ASetter s s a b -> (a -> b) -> m ()
(.=) :: MonadState s m => ASetter s s a b -> b -> m ()
(&&~) :: ASetter s t Bool Bool -> Bool -> s -> t
(||~) :: ASetter s t Bool Bool -> Bool -> s -> t
(**~) :: Floating a => ASetter s t a a -> a -> s -> t
(^^~) :: (Fractional a, Integral e) => ASetter s t a a -> e -> s -> t
(^~) :: (Num a, Integral e) => ASetter s t a a -> e -> s -> t
(//~) :: Fractional a => ASetter s t a a -> a -> s -> t
(-~) :: Num a => ASetter s t a a -> a -> s -> t
(*~) :: Num a => ASetter s t a a -> a -> s -> t
(+~) :: Num a => ASetter s t a a -> a -> s -> t
(<?~) :: ASetter s t a (Maybe b) -> b -> s -> (b, t)
(<.~) :: ASetter s t a b -> b -> s -> (b, t)
(?~) :: ASetter s t a (Maybe b) -> b -> s -> t
(.~) :: ASetter s t a b -> b -> s -> t
(%~) :: ASetter s t a b -> (a -> b) -> s -> t
newtype StateT s (m :: Type -> Type) a = StateT {
- runStateT :: s -> m (a, s)
}
newtype ReaderT r (m :: k -> Type) (a :: k) :: forall k. Type -> (k -> Type) -> k -> Type = ReaderT {
- runReaderT :: r -> m a
}
class MonadTrans t => MonadTransControl (t :: (Type -> Type) -> Type -> Type)
class MonadBase b m => MonadBaseControl (b :: Type -> Type) (m :: Type -> Type) | m -> b
modify' :: MonadState s m => (s -> s) -> m ()
asks :: MonadReader r m => (r -> a) -> m a
type Except e = ExceptT e Identity
runExcept :: Except e a -> Either e a
mapExcept :: (Either e a -> Either e' b) -> Except e a -> Except e' b
withExcept :: (e -> e') -> Except e a -> Except e' a
runExceptT :: ExceptT e m a -> m (Either e a)
mapExceptT :: (m (Either e a) -> n (Either e' b)) -> ExceptT e m a -> ExceptT e' n b
withExceptT :: Functor m => (e -> e') -> ExceptT e m a -> ExceptT e' m a
runReader :: Reader r a -> r -> a
evalState :: State s a -> s -> a
execState :: State s a -> s -> s
withState :: (s -> s) -> State s a -> State s a
evalStateT :: Monad m => StateT s m a -> s -> m a
execStateT :: Monad m => StateT s m a -> s -> m s
die :: Text -> IO a
show :: (Show a, StringConv String b) => a -> b
liftIO2 :: MonadIO m => (a -> b -> IO c) -> a -> b -> m c
liftIO1 :: MonadIO m => (a -> IO b) -> a -> m b
guardedA :: (Functor f, Alternative t) => (a -> f Bool) -> a -> f (t a)
guarded :: Alternative f => (a -> Bool) -> a -> f a
pass :: Applicative f => f ()
throwTo :: (MonadIO m, Exception e) => ThreadId -> e -> m ()
throwIO :: (MonadIO m, Exception e) => e -> m a
print :: (MonadIO m, Show a) => a -> m ()
applyN :: Int -> (a -> a) -> a -> a
unsnoc :: [x] -> Maybe ([x], x)
uncons :: [a] -> Maybe (a, [a])
map :: Functor f => (a -> b) -> f a -> f b
identity :: a -> a
type LText = Text
type LByteString = ByteString
witness :: a
undefined :: a
notImplemented :: a
traceId :: Text -> Text
traceM :: Monad m => Text -> m ()
traceShowM :: (Show a, Monad m) => a -> m ()
traceShowId :: Show a => a -> a
traceShow :: Show a => a -> b -> b
traceIO :: Print b => b -> a -> IO a
trace :: Print b => b -> a -> a
putErrText :: MonadIO m => Text -> m ()
putLByteString :: MonadIO m => ByteString -> m ()
putByteString :: MonadIO m => ByteString -> m ()
putLText :: MonadIO m => Text -> m ()
putText :: MonadIO m => Text -> m ()
class Print a where
- hPutStr :: MonadIO m => Handle -> a -> m ()
- putStr :: MonadIO m => a -> m ()
- hPutStrLn :: MonadIO m => Handle -> a -> m ()
- putStrLn :: MonadIO m => a -> m ()
- putErrLn :: MonadIO m => a -> m ()
zero :: Monoid m => m
class Monoid m => Semiring m where
- one :: m
atDef :: a -> [a] -> Int -> a
atMay :: [a] -> Int -> Maybe a
foldl1May' :: (a -> a -> a) -> [a] -> Maybe a
foldl1May :: (a -> a -> a) -> [a] -> Maybe a
foldr1May :: (a -> a -> a) -> [a] -> Maybe a
maximumDef :: Ord a => a -> [a] -> a
minimumDef :: Ord a => a -> [a] -> a
maximumMay :: Ord a => [a] -> Maybe a
minimumMay :: Ord a => [a] -> Maybe a
lastDef :: a -> [a] -> a
lastMay :: [a] -> Maybe a
tailSafe :: [a] -> [a]
tailDef :: [a] -> [a] -> [a]
tailMay :: [a] -> Maybe [a]
initSafe :: [a] -> [a]
initDef :: [a] -> [a] -> [a]
initMay :: [a] -> Maybe [a]
headDef :: a -> [a] -> a
headMay :: [a] -> Maybe a
panic :: HasCallStack => Text -> a
data FatalError = FatalError {
- fatalErrorMessage :: Text
}
liftM2' :: Monad m => (a -> b -> c) -> m a -> m b -> m c
liftM' :: Monad m => (a -> b) -> m a -> m b
concatMapM :: Monad m => (a -> m [b]) -> [a] -> m [b]
sum :: (Foldable f, Num a) => f a -> a
product :: (Foldable f, Num a) => f a -> a
list :: [b] -> (a -> b) -> [a] -> [b]
sortOn :: Ord o => (a -> o) -> [a] -> [a]
head :: Foldable f => f a -> Maybe a
foreach :: Functor f => f a -> (a -> b) -> f b
(<<$>>) :: (Functor f, Functor g) => (a -> b) -> f (g a) -> f (g b)
tryIO :: MonadIO m => IO a -> ExceptT IOException m a
note :: MonadError e m => e -> Maybe a -> m a
hush :: Alternative m => Either e a -> m a
maybeToEither :: e -> Maybe a -> Either e a
maybeEmpty :: Monoid b => (a -> b) -> Maybe a -> b
maybeToLeft :: r -> Maybe l -> Either l r
maybeToRight :: l -> Maybe r -> Either l r
rightToMaybe :: Either l r -> Maybe r
leftToMaybe :: Either l r -> Maybe l
toSL :: StringConv a b => a -> b
toS :: StringConv a b => a -> b
data Leniency
- = Lenient
- | Strict
class StringConv a b where
- strConv :: Leniency -> a -> b
(<&&>) :: Applicative a => a Bool -> a Bool -> a Bool
(&&^) :: Monad m => m Bool -> m Bool -> m Bool
(<||>) :: Applicative a => a Bool -> a Bool -> a Bool
(||^) :: Monad m => m Bool -> m Bool -> m Bool
guardM :: MonadPlus m => m Bool -> m ()
ifM :: Monad m => m Bool -> m a -> m a -> m a
unlessM :: Monad m => m Bool -> m () -> m ()
whenM :: Monad m => m Bool -> m () -> m ()
bool :: a -> a -> Bool -> a
($!) :: (a -> b) -> a -> b
(<<*>>) :: (Applicative f, Applicative g) => f (g (a -> b)) -> f (g a) -> f (g b)
liftAA2 :: (Applicative f, Applicative g) => (a -> b -> c) -> f (g a) -> f (g b) -> f (g c)
purer :: (Applicative f, Applicative g) => a -> f (g a)
eitherA :: Alternative f => f a -> f b -> f (Either a b)
orEmpty :: Alternative f => Bool -> a -> f a
orAlt :: (Alternative f, Monoid a) => f a -> f a
throwE :: Monad m => e -> ExceptT e m a
catchE :: Monad m => ExceptT e m a -> (e -> ExceptT e' m a) -> ExceptT e' m a
data UnicodeException
type OnDecodeError = OnError Word8 Char
type OnError a b = String -> Maybe a -> Maybe b
strictDecode :: OnDecodeError
lenientDecode :: OnDecodeError
ignore :: OnError a b
replace :: b -> OnError a b
decodeUtf8With :: OnDecodeError -> ByteString -> Text
decodeUtf8 :: ByteString -> Text
decodeUtf8' :: ByteString -> Either UnicodeException Text
encodeUtf8 :: Text -> ByteString
fromStrict :: Text -> Text
readFile :: FilePath -> IO Text
writeFile :: FilePath -> Text -> IO ()
appendFile :: FilePath -> Text -> IO ()
interact :: (Text -> Text) -> IO ()
getContents :: IO Text
getLine :: IO Text
check :: Bool -> STM ()
hashNub :: (Witherable t, Eq a, Hashable a) => t a -> t a
ordNub :: (Witherable t, Ord a) => t a -> t a
hashNubOf :: (Eq a, Hashable a) => FilterLike' (State (HashSet a)) s a -> s -> s
ordNubOf :: Ord a => FilterLike' (State (Set a)) s a -> s -> s
forMaybe :: (Witherable t, Applicative f) => t a -> (a -> f (Maybe b)) -> f (t b)
filterOf :: FilterLike' Identity s a -> (a -> Bool) -> s -> s
filterAOf :: Functor f => FilterLike' f s a -> (a -> f Bool) -> s -> f s
catMaybesOf :: FilterLike Identity s t (Maybe a) a -> s -> t
mapMaybeOf :: FilterLike Identity s t a b -> (a -> Maybe b) -> s -> t
forMaybeOf :: FilterLike f s t a b -> s -> (a -> f (Maybe b)) -> f t
witherOf :: FilterLike f s t a b -> (a -> f (Maybe b)) -> s -> f t
cloneFilter :: FilterLike (Peat a b) s t a b -> Filter s t a b
type FilterLike (f :: Type -> Type) s t a b = (a -> f (Maybe b)) -> s -> f t
type Filter s t a b = forall (f :: Type -> Type). Applicative f => FilterLike f s t a b
type FilterLike' (f :: Type -> Type) s a = FilterLike f s s a a
type Filter' s a = forall (f :: Type -> Type). Applicative f => FilterLike' f s a
newtype Peat a b t = Peat {
- runPeat :: forall (f :: Type -> Type). Applicative f => (a -> f (Maybe b)) -> f t
}
class Functor f => Filterable (f :: Type -> Type) where
- mapMaybe :: (a -> Maybe b) -> f a -> f b
- catMaybes :: f (Maybe a) -> f a
- filter :: (a -> Bool) -> f a -> f a
class (Traversable t, Filterable t) => Witherable (t :: Type -> Type) where
- wither :: Applicative f => (a -> f (Maybe b)) -> t a -> f (t b)
- witherM :: Monad m => (a -> m (Maybe b)) -> t a -> m (t b)
- filterA :: Applicative f => (a -> f Bool) -> t a -> f (t a)
unsafeTail :: [a] -> [a]
unsafeHead :: [a] -> a
unsafeLast :: [a] -> a
unsafeInit :: [a] -> [a]
pshow :: (Show a, IsString c) => a -> c
perror :: StringConv stringLike String => stringLike -> a
pread :: (Read a, StringConv stringLike String) => stringLike -> a
noWarnUndefined :: a
perrorToFile :: StringConv stringLike Text => Text -> stringLike -> a

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 :: a -> b -> b #

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.

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

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 short, excess elements of the longer list are discarded:

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

zip is right-lazy:

zip [] _|_ = []
zip _|_ [] = _|_

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 = ...

($) :: (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 :: 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.

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)

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.

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

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 Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods minBound :: Int8 # maxBound :: Int8 #
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 Ordering	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: Ordering # maxBound :: Ordering #
Bounded Word	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: Word # maxBound :: Word #
Bounded Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods minBound :: Word8 # maxBound :: Word8 #
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 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 ()	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: () # maxBound :: () #
Bounded CDev
Instance details Defined in System.Posix.Types Methods minBound :: CDev # maxBound :: CDev #
Bounded CIno
Instance details Defined in System.Posix.Types Methods minBound :: CIno # maxBound :: CIno #
Bounded CMode
Instance details Defined in System.Posix.Types Methods minBound :: CMode # maxBound :: CMode #
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 CSsize
Instance details Defined in System.Posix.Types Methods minBound :: CSsize # maxBound :: CSsize #
Bounded CGid
Instance details Defined in System.Posix.Types Methods minBound :: CGid # maxBound :: CGid #
Bounded CNlink
Instance details Defined in System.Posix.Types Methods minBound :: CNlink # maxBound :: CNlink #
Bounded CUid
Instance details Defined in System.Posix.Types Methods minBound :: CUid # maxBound :: CUid #
Bounded CTcflag
Instance details Defined in System.Posix.Types Methods minBound :: CTcflag # maxBound :: CTcflag #
Bounded CRLim
Instance details Defined in System.Posix.Types Methods minBound :: CRLim # maxBound :: CRLim #
Bounded CBlkSize
Instance details Defined in System.Posix.Types Methods minBound :: CBlkSize # maxBound :: CBlkSize #
Bounded CBlkCnt
Instance details Defined in System.Posix.Types Methods minBound :: CBlkCnt # maxBound :: CBlkCnt #
Bounded CClockId
Instance details Defined in System.Posix.Types Methods minBound :: CClockId # maxBound :: CClockId #
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 CId
Instance details Defined in System.Posix.Types Methods minBound :: CId # maxBound :: CId #
Bounded CKey
Instance details Defined in System.Posix.Types Methods minBound :: CKey # maxBound :: CKey #
Bounded Fd
Instance details Defined in System.Posix.Types Methods minBound :: Fd # maxBound :: Fd #
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 Associativity	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods minBound :: Associativity # maxBound :: Associativity #
Bounded SourceUnpackedness	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods minBound :: SourceUnpackedness # maxBound :: SourceUnpackedness #
Bounded SourceStrictness	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods minBound :: SourceStrictness # maxBound :: SourceStrictness #
Bounded DecidedStrictness	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods minBound :: DecidedStrictness # maxBound :: DecidedStrictness #
Bounded CChar
Instance details Defined in Foreign.C.Types Methods minBound :: CChar # maxBound :: CChar #
Bounded CSChar
Instance details Defined in Foreign.C.Types Methods minBound :: CSChar # maxBound :: CSChar #
Bounded CUChar
Instance details Defined in Foreign.C.Types Methods minBound :: CUChar # maxBound :: CUChar #
Bounded CShort
Instance details Defined in Foreign.C.Types Methods minBound :: CShort # maxBound :: CShort #
Bounded CUShort
Instance details Defined in Foreign.C.Types Methods minBound :: CUShort # maxBound :: CUShort #
Bounded CInt
Instance details Defined in Foreign.C.Types Methods minBound :: CInt # maxBound :: CInt #
Bounded CUInt
Instance details Defined in Foreign.C.Types Methods minBound :: CUInt # maxBound :: CUInt #
Bounded CLong
Instance details Defined in Foreign.C.Types Methods minBound :: CLong # maxBound :: CLong #
Bounded CULong
Instance details Defined in Foreign.C.Types Methods minBound :: CULong # maxBound :: CULong #
Bounded CLLong
Instance details Defined in Foreign.C.Types Methods minBound :: CLLong # maxBound :: CLLong #
Bounded CULLong
Instance details Defined in Foreign.C.Types Methods minBound :: CULLong # maxBound :: CULLong #
Bounded CBool
Instance details Defined in Foreign.C.Types Methods minBound :: CBool # maxBound :: CBool #
Bounded CPtrdiff
Instance details Defined in Foreign.C.Types Methods minBound :: CPtrdiff # maxBound :: CPtrdiff #
Bounded CSize
Instance details Defined in Foreign.C.Types Methods minBound :: CSize # maxBound :: CSize #
Bounded CWchar
Instance details Defined in Foreign.C.Types Methods minBound :: CWchar # maxBound :: CWchar #
Bounded CSigAtomic
Instance details Defined in Foreign.C.Types Methods minBound :: CSigAtomic # maxBound :: CSigAtomic #
Bounded CIntPtr
Instance details Defined in Foreign.C.Types Methods minBound :: CIntPtr # maxBound :: CIntPtr #
Bounded CUIntPtr
Instance details Defined in Foreign.C.Types Methods minBound :: CUIntPtr # maxBound :: CUIntPtr #
Bounded CIntMax
Instance details Defined in Foreign.C.Types Methods minBound :: CIntMax # maxBound :: CIntMax #
Bounded CUIntMax
Instance details Defined in Foreign.C.Types Methods minBound :: CUIntMax # maxBound :: CUIntMax #
Bounded WordPtr
Instance details Defined in Foreign.Ptr Methods minBound :: WordPtr # maxBound :: WordPtr #
Bounded IntPtr
Instance details Defined in Foreign.Ptr Methods minBound :: IntPtr # maxBound :: IntPtr #
Bounded GeneralCategory	Since: base-2.1
Instance details Defined in GHC.Unicode Methods minBound :: GeneralCategory # maxBound :: GeneralCategory #
Bounded Leniency
Instance details Defined in Protolude.Conv Methods minBound :: Leniency # maxBound :: Leniency #
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 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 (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 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 (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 (Dual a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods minBound :: Dual a # maxBound :: Dual 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 (Product a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods minBound :: Product a # maxBound :: Product a #
(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 (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 c) => Bounded (a, b, c)	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: (a, b, c) # maxBound :: (a, b, c) #
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 #
Coercible a b => Bounded (Coercion a b)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Coercion Methods minBound :: Coercion a b # maxBound :: Coercion a b #
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 b => Bounded (Tagged s b)
Instance details Defined in Data.Tagged Methods minBound :: Tagged s b # maxBound :: Tagged s 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) #
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 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

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 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 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 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 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 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 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 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 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 ()	Since: base-2.1
Instance details Defined in GHC.Enum Methods succ :: () -> () # pred :: () -> () # toEnum :: Int -> () # fromEnum :: () -> Int # enumFrom :: () -> [()] # enumFromThen :: () -> () -> [()] # enumFromTo :: () -> () -> [()] # enumFromThenTo :: () -> () -> () -> [()] #
Enum Arity
Instance details Defined in Data.Aeson.TH Methods succ :: Arity -> Arity # pred :: Arity -> Arity # toEnum :: Int -> Arity # fromEnum :: Arity -> Int # enumFrom :: Arity -> [Arity] # enumFromThen :: Arity -> Arity -> [Arity] # enumFromTo :: Arity -> Arity -> [Arity] # enumFromThenTo :: Arity -> Arity -> Arity -> [Arity] #
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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 Extension
Instance details Defined in GHC.LanguageExtensions.Type Methods succ :: Extension -> Extension # pred :: Extension -> Extension # toEnum :: Int -> Extension # fromEnum :: Extension -> Int # enumFrom :: Extension -> [Extension] # enumFromThen :: Extension -> Extension -> [Extension] # enumFromTo :: Extension -> Extension -> [Extension] # enumFromThenTo :: Extension -> Extension -> Extension -> [Extension] #
Enum Leniency
Instance details Defined in Protolude.Conv Methods succ :: Leniency -> Leniency # pred :: Leniency -> Leniency # toEnum :: Int -> Leniency # fromEnum :: Leniency -> Int # enumFrom :: Leniency -> [Leniency] # enumFromThen :: Leniency -> Leniency -> [Leniency] # enumFromTo :: Leniency -> Leniency -> [Leniency] # enumFromThenTo :: Leniency -> Leniency -> Leniency -> [Leniency] #
Enum Day
Instance details Defined in Data.Time.Calendar.Days Methods succ :: Day -> Day # pred :: Day -> Day # toEnum :: Int -> Day # fromEnum :: Day -> Int # enumFrom :: Day -> [Day] # enumFromThen :: Day -> Day -> [Day] # enumFromTo :: Day -> Day -> [Day] # enumFromThenTo :: Day -> Day -> Day -> [Day] #
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 (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 (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 (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 (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] #
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 (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] #
Coercible a b => Enum (Coercion a b)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Coercion Methods succ :: Coercion a b -> Coercion a b # pred :: Coercion a b -> Coercion a b # toEnum :: Int -> Coercion a b # fromEnum :: Coercion a b -> Int # enumFrom :: Coercion a b -> [Coercion a b] # enumFromThen :: Coercion a b -> Coercion a b -> [Coercion a b] # enumFromTo :: Coercion a b -> Coercion a b -> [Coercion a b] # enumFromThenTo :: Coercion a b -> Coercion a b -> Coercion a b -> [Coercion a b] #
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] #
Enum a => Enum (Tagged s a)
Instance details Defined in Data.Tagged Methods succ :: Tagged s a -> Tagged s a # pred :: Tagged s a -> Tagged s a # toEnum :: Int -> Tagged s a # fromEnum :: Tagged s a -> Int # enumFrom :: Tagged s a -> [Tagged s a] # enumFromThen :: Tagged s a -> Tagged s a -> [Tagged s a] # enumFromTo :: Tagged s a -> Tagged s a -> [Tagged s a] # enumFromThenTo :: Tagged s a -> Tagged s a -> Tagged s a -> [Tagged s a] #
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, == is customarily expected to implement an equivalence relationship where two values comparing equal are indistinguishable by "public" functions, with a "public" function being one not allowing to see implementation details. For example, for a type representing non-normalised natural numbers modulo 100, a "public" function doesn't make the difference between 1 and 201. It is expected to have the following properties:

Reflexivity: x == x = True
Symmetry: x == y = y == x
Transitivity: if x == y && y == z = True, then x == z = True
Substitutivity: if x == y = True and f is a "public" 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

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 substitutivity: `>>>` `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 Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods (==) :: Int8 -> Int8 -> Bool # (/=) :: Int8 -> Int8 -> 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 Integer
Instance details Defined in GHC.Integer.Type Methods (==) :: Integer -> Integer -> Bool # (/=) :: Integer -> Integer -> Bool #
Eq Natural	Since: base-4.8.0.0
Instance details Defined in GHC.Natural Methods (==) :: Natural -> Natural -> Bool # (/=) :: Natural -> Natural -> Bool #
Eq Ordering
Instance details Defined in GHC.Classes Methods (==) :: Ordering -> Ordering -> Bool # (/=) :: Ordering -> Ordering -> Bool #
Eq Word
Instance details Defined in GHC.Classes Methods (==) :: Word -> Word -> Bool # (/=) :: Word -> Word -> Bool #
Eq Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods (==) :: Word8 -> Word8 -> Bool # (/=) :: Word8 -> Word8 -> 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 SomeTypeRep
Instance details Defined in Data.Typeable.Internal Methods (==) :: SomeTypeRep -> SomeTypeRep -> Bool # (/=) :: SomeTypeRep -> SomeTypeRep -> Bool #
Eq Exp
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: Exp -> Exp -> Bool # (/=) :: Exp -> Exp -> Bool #
Eq Match
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: Match -> Match -> Bool # (/=) :: Match -> Match -> Bool #
Eq Clause
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: Clause -> Clause -> Bool # (/=) :: Clause -> Clause -> Bool #
Eq Pat
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: Pat -> Pat -> Bool # (/=) :: Pat -> Pat -> Bool #
Eq Type
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: Type -> Type -> Bool # (/=) :: Type -> Type -> Bool #
Eq Dec
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: Dec -> Dec -> Bool # (/=) :: Dec -> Dec -> Bool #
Eq Name
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: Name -> Name -> Bool # (/=) :: Name -> Name -> Bool #
Eq FunDep
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: FunDep -> FunDep -> Bool # (/=) :: FunDep -> FunDep -> Bool #
Eq InjectivityAnn
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: InjectivityAnn -> InjectivityAnn -> Bool # (/=) :: InjectivityAnn -> InjectivityAnn -> Bool #
Eq Overlap
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: Overlap -> Overlap -> Bool # (/=) :: Overlap -> Overlap -> Bool #
Eq ()
Instance details Defined in GHC.Classes Methods (==) :: () -> () -> Bool # (/=) :: () -> () -> Bool #
Eq TyCon
Instance details Defined in GHC.Classes Methods (==) :: TyCon -> TyCon -> Bool # (/=) :: TyCon -> TyCon -> Bool #
Eq Module
Instance details Defined in GHC.Classes Methods (==) :: Module -> Module -> Bool # (/=) :: Module -> Module -> Bool #
Eq TrName
Instance details Defined in GHC.Classes Methods (==) :: TrName -> TrName -> Bool # (/=) :: TrName -> TrName -> Bool #
Eq Con
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: Con -> Con -> Bool # (/=) :: Con -> Con -> Bool #
Eq Arity
Instance details Defined in Data.Aeson.TH Methods (==) :: Arity -> Arity -> Bool # (/=) :: Arity -> Arity -> Bool #
Eq StarKindStatus
Instance details Defined in Data.Aeson.TH Methods (==) :: StarKindStatus -> StarKindStatus -> Bool # (/=) :: StarKindStatus -> StarKindStatus -> Bool #
Eq ByteString
Instance details Defined in Data.ByteString.Internal Methods (==) :: ByteString -> ByteString -> Bool # (/=) :: ByteString -> ByteString -> Bool #
Eq ByteString
Instance details Defined in Data.ByteString.Lazy.Internal Methods (==) :: ByteString -> ByteString -> Bool # (/=) :: ByteString -> ByteString -> Bool #
Eq Scientific	Scientific numbers can be safely compared for equality. No magnitude `10^e` is calculated so there's no risk of a blowup in space or time when comparing scientific numbers coming from untrusted sources.
Instance details Defined in Data.Scientific Methods (==) :: Scientific -> Scientific -> Bool # (/=) :: Scientific -> Scientific -> Bool #
Eq UTCTime
Instance details Defined in Data.Time.Clock.Internal.UTCTime Methods (==) :: UTCTime -> UTCTime -> Bool # (/=) :: UTCTime -> UTCTime -> Bool #
Eq JSONPathElement
Instance details Defined in Data.Aeson.Types.Internal Methods (==) :: JSONPathElement -> JSONPathElement -> Bool # (/=) :: JSONPathElement -> JSONPathElement -> Bool #
Eq Value
Instance details Defined in Data.Aeson.Types.Internal Methods (==) :: Value -> Value -> Bool # (/=) :: Value -> Value -> Bool #
Eq DotNetTime
Instance details Defined in Data.Aeson.Types.Internal Methods (==) :: DotNetTime -> DotNetTime -> Bool # (/=) :: DotNetTime -> DotNetTime -> Bool #
Eq SumEncoding
Instance details Defined in Data.Aeson.Types.Internal Methods (==) :: SumEncoding -> SumEncoding -> Bool # (/=) :: SumEncoding -> SumEncoding -> 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 ThreadId	Since: base-4.2.0.0
Instance details Defined in GHC.Conc.Sync Methods (==) :: ThreadId -> ThreadId -> Bool # (/=) :: ThreadId -> ThreadId -> Bool #
Eq AsyncCancelled
Instance details Defined in Control.Concurrent.Async Methods (==) :: AsyncCancelled -> AsyncCancelled -> Bool # (/=) :: AsyncCancelled -> AsyncCancelled -> Bool #
Eq Pos
Instance details Defined in Data.Attoparsec.Internal.Types Methods (==) :: Pos -> Pos -> Bool # (/=) :: Pos -> Pos -> Bool #
Eq More
Instance details Defined in Data.Attoparsec.Internal.Types Methods (==) :: More -> More -> Bool # (/=) :: More -> More -> Bool #
Eq BigNat
Instance details Defined in GHC.Integer.Type Methods (==) :: BigNat -> BigNat -> Bool # (/=) :: BigNat -> BigNat -> Bool #
Eq Void	Since: base-4.8.0.0
Instance details Defined in Data.Void Methods (==) :: Void -> Void -> Bool # (/=) :: Void -> Void -> Bool #
Eq SpecConstrAnnotation	Since: base-4.3.0.0
Instance details Defined in GHC.Exts Methods (==) :: SpecConstrAnnotation -> SpecConstrAnnotation -> Bool # (/=) :: SpecConstrAnnotation -> SpecConstrAnnotation -> Bool #
Eq BlockReason	Since: base-4.3.0.0
Instance details Defined in GHC.Conc.Sync Methods (==) :: BlockReason -> BlockReason -> Bool # (/=) :: BlockReason -> BlockReason -> Bool #
Eq ThreadStatus	Since: base-4.3.0.0
Instance details Defined in GHC.Conc.Sync Methods (==) :: ThreadStatus -> ThreadStatus -> Bool # (/=) :: ThreadStatus -> ThreadStatus -> Bool #
Eq CDev
Instance details Defined in System.Posix.Types Methods (==) :: CDev -> CDev -> Bool # (/=) :: CDev -> CDev -> Bool #
Eq CIno
Instance details Defined in System.Posix.Types Methods (==) :: CIno -> CIno -> Bool # (/=) :: CIno -> CIno -> Bool #
Eq CMode
Instance details Defined in System.Posix.Types Methods (==) :: CMode -> CMode -> Bool # (/=) :: CMode -> CMode -> 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 CSsize
Instance details Defined in System.Posix.Types Methods (==) :: CSsize -> CSsize -> Bool # (/=) :: CSsize -> CSsize -> Bool #
Eq CGid
Instance details Defined in System.Posix.Types Methods (==) :: CGid -> CGid -> Bool # (/=) :: CGid -> CGid -> Bool #
Eq CNlink
Instance details Defined in System.Posix.Types Methods (==) :: CNlink -> CNlink -> Bool # (/=) :: CNlink -> CNlink -> Bool #
Eq CUid
Instance details Defined in System.Posix.Types Methods (==) :: CUid -> CUid -> Bool # (/=) :: CUid -> CUid -> Bool #
Eq CCc
Instance details Defined in System.Posix.Types Methods (==) :: CCc -> CCc -> Bool # (/=) :: CCc -> CCc -> Bool #
Eq CSpeed
Instance details Defined in System.Posix.Types Methods (==) :: CSpeed -> CSpeed -> Bool # (/=) :: CSpeed -> CSpeed -> Bool #
Eq CTcflag
Instance details Defined in System.Posix.Types Methods (==) :: CTcflag -> CTcflag -> Bool # (/=) :: CTcflag -> CTcflag -> Bool #
Eq CRLim
Instance details Defined in System.Posix.Types Methods (==) :: CRLim -> CRLim -> Bool # (/=) :: CRLim -> CRLim -> Bool #
Eq CBlkSize
Instance details Defined in System.Posix.Types Methods (==) :: CBlkSize -> CBlkSize -> Bool # (/=) :: CBlkSize -> CBlkSize -> Bool #
Eq CBlkCnt
Instance details Defined in System.Posix.Types Methods (==) :: CBlkCnt -> CBlkCnt -> Bool # (/=) :: CBlkCnt -> CBlkCnt -> Bool #
Eq CClockId
Instance details Defined in System.Posix.Types Methods (==) :: CClockId -> CClockId -> Bool # (/=) :: CClockId -> CClockId -> 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 CId
Instance details Defined in System.Posix.Types Methods (==) :: CId -> CId -> Bool # (/=) :: CId -> CId -> Bool #
Eq CKey
Instance details Defined in System.Posix.Types Methods (==) :: CKey -> CKey -> Bool # (/=) :: CKey -> CKey -> Bool #
Eq CTimer
Instance details Defined in System.Posix.Types Methods (==) :: CTimer -> CTimer -> Bool # (/=) :: CTimer -> CTimer -> Bool #
Eq Fd
Instance details Defined in System.Posix.Types Methods (==) :: Fd -> Fd -> Bool # (/=) :: Fd -> Fd -> Bool #
Eq AsyncException	Since: base-4.2.0.0
Instance details Defined in GHC.IO.Exception Methods (==) :: AsyncException -> AsyncException -> Bool # (/=) :: AsyncException -> AsyncException -> Bool #
Eq ArrayException	Since: base-4.2.0.0
Instance details Defined in GHC.IO.Exception Methods (==) :: ArrayException -> ArrayException -> Bool # (/=) :: ArrayException -> ArrayException -> 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 BufferMode	Since: base-4.2.0.0
Instance details Defined in GHC.IO.Handle.Types Methods (==) :: BufferMode -> BufferMode -> Bool # (/=) :: BufferMode -> BufferMode -> 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 MaskingState	Since: base-4.3.0.0
Instance details Defined in GHC.IO Methods (==) :: MaskingState -> MaskingState -> Bool # (/=) :: MaskingState -> MaskingState -> Bool #
Eq IOException	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods (==) :: IOException -> IOException -> Bool # (/=) :: IOException -> IOException -> 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 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 Fixity	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Methods (==) :: Fixity -> Fixity -> Bool # (/=) :: Fixity -> Fixity -> Bool #
Eq Associativity	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Methods (==) :: Associativity -> Associativity -> Bool # (/=) :: Associativity -> Associativity -> Bool #
Eq SourceUnpackedness	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (==) :: SourceUnpackedness -> SourceUnpackedness -> Bool # (/=) :: SourceUnpackedness -> SourceUnpackedness -> Bool #
Eq SourceStrictness	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (==) :: SourceStrictness -> SourceStrictness -> Bool # (/=) :: SourceStrictness -> SourceStrictness -> Bool #
Eq DecidedStrictness	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (==) :: DecidedStrictness -> DecidedStrictness -> Bool # (/=) :: DecidedStrictness -> DecidedStrictness -> Bool #
Eq SomeSymbol	Since: base-4.7.0.0
Instance details Defined in GHC.TypeLits Methods (==) :: SomeSymbol -> SomeSymbol -> Bool # (/=) :: SomeSymbol -> SomeSymbol -> Bool #
Eq SomeNat	Since: base-4.7.0.0
Instance details Defined in GHC.TypeNats Methods (==) :: SomeNat -> SomeNat -> Bool # (/=) :: SomeNat -> SomeNat -> Bool #
Eq CChar
Instance details Defined in Foreign.C.Types Methods (==) :: CChar -> CChar -> Bool # (/=) :: CChar -> CChar -> Bool #
Eq CSChar
Instance details Defined in Foreign.C.Types Methods (==) :: CSChar -> CSChar -> Bool # (/=) :: CSChar -> CSChar -> Bool #
Eq CUChar
Instance details Defined in Foreign.C.Types Methods (==) :: CUChar -> CUChar -> Bool # (/=) :: CUChar -> CUChar -> Bool #
Eq CShort
Instance details Defined in Foreign.C.Types Methods (==) :: CShort -> CShort -> Bool # (/=) :: CShort -> CShort -> Bool #
Eq CUShort
Instance details Defined in Foreign.C.Types Methods (==) :: CUShort -> CUShort -> Bool # (/=) :: CUShort -> CUShort -> Bool #
Eq CInt
Instance details Defined in Foreign.C.Types Methods (==) :: CInt -> CInt -> Bool # (/=) :: CInt -> CInt -> Bool #
Eq CUInt
Instance details Defined in Foreign.C.Types Methods (==) :: CUInt -> CUInt -> Bool # (/=) :: CUInt -> CUInt -> Bool #
Eq CLong
Instance details Defined in Foreign.C.Types Methods (==) :: CLong -> CLong -> Bool # (/=) :: CLong -> CLong -> Bool #
Eq CULong
Instance details Defined in Foreign.C.Types Methods (==) :: CULong -> CULong -> Bool # (/=) :: CULong -> CULong -> Bool #
Eq CLLong
Instance details Defined in Foreign.C.Types Methods (==) :: CLLong -> CLLong -> Bool # (/=) :: CLLong -> CLLong -> Bool #
Eq CULLong
Instance details Defined in Foreign.C.Types Methods (==) :: CULLong -> CULLong -> Bool # (/=) :: CULLong -> CULLong -> Bool #
Eq CBool
Instance details Defined in Foreign.C.Types Methods (==) :: CBool -> CBool -> Bool # (/=) :: CBool -> CBool -> Bool #
Eq CFloat
Instance details Defined in Foreign.C.Types Methods (==) :: CFloat -> CFloat -> Bool # (/=) :: CFloat -> CFloat -> Bool #
Eq CDouble
Instance details Defined in Foreign.C.Types Methods (==) :: CDouble -> CDouble -> Bool # (/=) :: CDouble -> CDouble -> Bool #
Eq CPtrdiff
Instance details Defined in Foreign.C.Types Methods (==) :: CPtrdiff -> CPtrdiff -> Bool # (/=) :: CPtrdiff -> CPtrdiff -> Bool #
Eq CSize
Instance details Defined in Foreign.C.Types Methods (==) :: CSize -> CSize -> Bool # (/=) :: CSize -> CSize -> Bool #
Eq CWchar
Instance details Defined in Foreign.C.Types Methods (==) :: CWchar -> CWchar -> Bool # (/=) :: CWchar -> CWchar -> Bool #
Eq CSigAtomic
Instance details Defined in Foreign.C.Types Methods (==) :: CSigAtomic -> CSigAtomic -> Bool # (/=) :: CSigAtomic -> CSigAtomic -> Bool #
Eq CClock
Instance details Defined in Foreign.C.Types Methods (==) :: CClock -> CClock -> Bool # (/=) :: CClock -> CClock -> Bool #
Eq CTime
Instance details Defined in Foreign.C.Types Methods (==) :: CTime -> CTime -> Bool # (/=) :: CTime -> CTime -> Bool #
Eq CUSeconds
Instance details Defined in Foreign.C.Types Methods (==) :: CUSeconds -> CUSeconds -> Bool # (/=) :: CUSeconds -> CUSeconds -> Bool #
Eq CSUSeconds
Instance details Defined in Foreign.C.Types Methods (==) :: CSUSeconds -> CSUSeconds -> Bool # (/=) :: CSUSeconds -> CSUSeconds -> Bool #
Eq CIntPtr
Instance details Defined in Foreign.C.Types Methods (==) :: CIntPtr -> CIntPtr -> Bool # (/=) :: CIntPtr -> CIntPtr -> Bool #
Eq CUIntPtr
Instance details Defined in Foreign.C.Types Methods (==) :: CUIntPtr -> CUIntPtr -> Bool # (/=) :: CUIntPtr -> CUIntPtr -> Bool #
Eq CIntMax
Instance details Defined in Foreign.C.Types Methods (==) :: CIntMax -> CIntMax -> Bool # (/=) :: CIntMax -> CIntMax -> Bool #
Eq CUIntMax
Instance details Defined in Foreign.C.Types Methods (==) :: CUIntMax -> CUIntMax -> Bool # (/=) :: CUIntMax -> CUIntMax -> Bool #
Eq WordPtr
Instance details Defined in Foreign.Ptr Methods (==) :: WordPtr -> WordPtr -> Bool # (/=) :: WordPtr -> WordPtr -> Bool #
Eq IntPtr
Instance details Defined in Foreign.Ptr Methods (==) :: IntPtr -> IntPtr -> Bool # (/=) :: IntPtr -> IntPtr -> Bool #
Eq IOMode	Since: base-4.2.0.0
Instance details Defined in GHC.IO.IOMode Methods (==) :: IOMode -> IOMode -> Bool # (/=) :: IOMode -> IOMode -> Bool #
Eq Lexeme	Since: base-2.1
Instance details Defined in Text.Read.Lex Methods (==) :: Lexeme -> Lexeme -> Bool # (/=) :: Lexeme -> Lexeme -> Bool #
Eq Number	Since: base-4.6.0.0
Instance details Defined in Text.Read.Lex Methods (==) :: Number -> Number -> Bool # (/=) :: Number -> Number -> Bool #
Eq GeneralCategory	Since: base-2.1
Instance details Defined in GHC.Unicode Methods (==) :: GeneralCategory -> GeneralCategory -> Bool # (/=) :: GeneralCategory -> GeneralCategory -> Bool #
Eq SrcLoc	Since: base-4.9.0.0
Instance details Defined in GHC.Stack.Types Methods (==) :: SrcLoc -> SrcLoc -> Bool # (/=) :: SrcLoc -> SrcLoc -> Bool #
Eq IntSet
Instance details Defined in Data.IntSet.Internal Methods (==) :: IntSet -> IntSet -> Bool # (/=) :: IntSet -> IntSet -> Bool #
Eq Extension
Instance details Defined in GHC.LanguageExtensions.Type Methods (==) :: Extension -> Extension -> Bool # (/=) :: Extension -> Extension -> Bool #
Eq ForeignSrcLang
Instance details Defined in GHC.ForeignSrcLang.Type Methods (==) :: ForeignSrcLang -> ForeignSrcLang -> Bool # (/=) :: ForeignSrcLang -> ForeignSrcLang -> Bool #
Eq NCon
Instance details Defined in Control.Lens.Internal.PrismTH Methods (==) :: NCon -> NCon -> Bool # (/=) :: NCon -> NCon -> Bool #
Eq TyVarBndr
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: TyVarBndr -> TyVarBndr -> Bool # (/=) :: TyVarBndr -> TyVarBndr -> Bool #
Eq DefName
Instance details Defined in Control.Lens.Internal.FieldTH Methods (==) :: DefName -> DefName -> Bool # (/=) :: DefName -> DefName -> Bool #
Eq Doc
Instance details Defined in Text.PrettyPrint.HughesPJ Methods (==) :: Doc -> Doc -> Bool # (/=) :: Doc -> Doc -> Bool #
Eq TextDetails
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods (==) :: TextDetails -> TextDetails -> Bool # (/=) :: TextDetails -> TextDetails -> Bool #
Eq Style
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods (==) :: Style -> Style -> Bool # (/=) :: Style -> Style -> Bool #
Eq Mode
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods (==) :: Mode -> Mode -> Bool # (/=) :: Mode -> Mode -> Bool #
Eq ByteArray	Since: primitive-0.6.3.0
Instance details Defined in Data.Primitive.ByteArray Methods (==) :: ByteArray -> ByteArray -> Bool # (/=) :: ByteArray -> ByteArray -> Bool #
Eq Addr
Instance details Defined in Data.Primitive.Types Methods (==) :: Addr -> Addr -> Bool # (/=) :: Addr -> Addr -> Bool #
Eq Leniency
Instance details Defined in Protolude.Conv Methods (==) :: Leniency -> Leniency -> Bool # (/=) :: Leniency -> Leniency -> Bool #
Eq UnicodeException
Instance details Defined in Data.Text.Encoding.Error Methods (==) :: UnicodeException -> UnicodeException -> Bool # (/=) :: UnicodeException -> UnicodeException -> Bool #
Eq ModName
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: ModName -> ModName -> Bool # (/=) :: ModName -> ModName -> Bool #
Eq PkgName
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: PkgName -> PkgName -> Bool # (/=) :: PkgName -> PkgName -> Bool #
Eq Module
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: Module -> Module -> Bool # (/=) :: Module -> Module -> Bool #
Eq OccName
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: OccName -> OccName -> Bool # (/=) :: OccName -> OccName -> Bool #
Eq NameFlavour
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: NameFlavour -> NameFlavour -> Bool # (/=) :: NameFlavour -> NameFlavour -> Bool #
Eq NameSpace
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: NameSpace -> NameSpace -> Bool # (/=) :: NameSpace -> NameSpace -> Bool #
Eq Loc
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: Loc -> Loc -> Bool # (/=) :: Loc -> Loc -> Bool #
Eq Info
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: Info -> Info -> Bool # (/=) :: Info -> Info -> Bool #
Eq ModuleInfo
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: ModuleInfo -> ModuleInfo -> Bool # (/=) :: ModuleInfo -> ModuleInfo -> Bool #
Eq Fixity
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: Fixity -> Fixity -> Bool # (/=) :: Fixity -> Fixity -> Bool #
Eq FixityDirection
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: FixityDirection -> FixityDirection -> Bool # (/=) :: FixityDirection -> FixityDirection -> Bool #
Eq Lit
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: Lit -> Lit -> Bool # (/=) :: Lit -> Lit -> Bool #
Eq Body
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: Body -> Body -> Bool # (/=) :: Body -> Body -> Bool #
Eq Guard
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: Guard -> Guard -> Bool # (/=) :: Guard -> Guard -> Bool #
Eq Stmt
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: Stmt -> Stmt -> Bool # (/=) :: Stmt -> Stmt -> Bool #
Eq Range
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: Range -> Range -> Bool # (/=) :: Range -> Range -> Bool #
Eq DerivClause
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: DerivClause -> DerivClause -> Bool # (/=) :: DerivClause -> DerivClause -> Bool #
Eq DerivStrategy
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: DerivStrategy -> DerivStrategy -> Bool # (/=) :: DerivStrategy -> DerivStrategy -> Bool #
Eq TypeFamilyHead
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: TypeFamilyHead -> TypeFamilyHead -> Bool # (/=) :: TypeFamilyHead -> TypeFamilyHead -> Bool #
Eq TySynEqn
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: TySynEqn -> TySynEqn -> Bool # (/=) :: TySynEqn -> TySynEqn -> Bool #
Eq Foreign
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: Foreign -> Foreign -> Bool # (/=) :: Foreign -> Foreign -> Bool #
Eq Callconv
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: Callconv -> Callconv -> Bool # (/=) :: Callconv -> Callconv -> Bool #
Eq Safety
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: Safety -> Safety -> Bool # (/=) :: Safety -> Safety -> Bool #
Eq Pragma
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: Pragma -> Pragma -> Bool # (/=) :: Pragma -> Pragma -> Bool #
Eq Inline
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: Inline -> Inline -> Bool # (/=) :: Inline -> Inline -> Bool #
Eq RuleMatch
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: RuleMatch -> RuleMatch -> Bool # (/=) :: RuleMatch -> RuleMatch -> Bool #
Eq Phases
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: Phases -> Phases -> Bool # (/=) :: Phases -> Phases -> Bool #
Eq RuleBndr
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: RuleBndr -> RuleBndr -> Bool # (/=) :: RuleBndr -> RuleBndr -> Bool #
Eq AnnTarget
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: AnnTarget -> AnnTarget -> Bool # (/=) :: AnnTarget -> AnnTarget -> Bool #
Eq SourceUnpackedness
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: SourceUnpackedness -> SourceUnpackedness -> Bool # (/=) :: SourceUnpackedness -> SourceUnpackedness -> Bool #
Eq SourceStrictness
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: SourceStrictness -> SourceStrictness -> Bool # (/=) :: SourceStrictness -> SourceStrictness -> Bool #
Eq DecidedStrictness
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: DecidedStrictness -> DecidedStrictness -> Bool # (/=) :: DecidedStrictness -> DecidedStrictness -> Bool #
Eq Bang
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: Bang -> Bang -> Bool # (/=) :: Bang -> Bang -> Bool #
Eq PatSynDir
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: PatSynDir -> PatSynDir -> Bool # (/=) :: PatSynDir -> PatSynDir -> Bool #
Eq PatSynArgs
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: PatSynArgs -> PatSynArgs -> Bool # (/=) :: PatSynArgs -> PatSynArgs -> Bool #
Eq FamilyResultSig
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: FamilyResultSig -> FamilyResultSig -> Bool # (/=) :: FamilyResultSig -> FamilyResultSig -> Bool #
Eq TyLit
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: TyLit -> TyLit -> Bool # (/=) :: TyLit -> TyLit -> Bool #
Eq Role
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: Role -> Role -> Bool # (/=) :: Role -> Role -> Bool #
Eq AnnLookup
Instance details Defined in Language.Haskell.TH.Syntax Methods (==) :: AnnLookup -> AnnLookup -> Bool # (/=) :: AnnLookup -> AnnLookup -> Bool #
Eq DatatypeInfo
Instance details Defined in Language.Haskell.TH.Datatype Methods (==) :: DatatypeInfo -> DatatypeInfo -> Bool # (/=) :: DatatypeInfo -> DatatypeInfo -> Bool #
Eq DatatypeVariant
Instance details Defined in Language.Haskell.TH.Datatype Methods (==) :: DatatypeVariant -> DatatypeVariant -> Bool # (/=) :: DatatypeVariant -> DatatypeVariant -> Bool #
Eq ConstructorInfo
Instance details Defined in Language.Haskell.TH.Datatype Methods (==) :: ConstructorInfo -> ConstructorInfo -> Bool # (/=) :: ConstructorInfo -> ConstructorInfo -> Bool #
Eq ConstructorVariant
Instance details Defined in Language.Haskell.TH.Datatype Methods (==) :: ConstructorVariant -> ConstructorVariant -> Bool # (/=) :: ConstructorVariant -> ConstructorVariant -> Bool #
Eq FieldStrictness
Instance details Defined in Language.Haskell.TH.Datatype Methods (==) :: FieldStrictness -> FieldStrictness -> Bool # (/=) :: FieldStrictness -> FieldStrictness -> Bool #
Eq Unpackedness
Instance details Defined in Language.Haskell.TH.Datatype Methods (==) :: Unpackedness -> Unpackedness -> Bool # (/=) :: Unpackedness -> Unpackedness -> Bool #
Eq Strictness
Instance details Defined in Language.Haskell.TH.Datatype Methods (==) :: Strictness -> Strictness -> Bool # (/=) :: Strictness -> Strictness -> Bool #
Eq LocalTime
Instance details Defined in Data.Time.LocalTime.Internal.LocalTime Methods (==) :: LocalTime -> LocalTime -> Bool # (/=) :: LocalTime -> LocalTime -> Bool #
Eq TimeOfDay
Instance details Defined in Data.Time.LocalTime.Internal.TimeOfDay Methods (==) :: TimeOfDay -> TimeOfDay -> Bool # (/=) :: TimeOfDay -> TimeOfDay -> Bool #
Eq TimeZone
Instance details Defined in Data.Time.LocalTime.Internal.TimeZone Methods (==) :: TimeZone -> TimeZone -> Bool # (/=) :: TimeZone -> TimeZone -> Bool #
Eq UniversalTime
Instance details Defined in Data.Time.Clock.Internal.UniversalTime Methods (==) :: UniversalTime -> UniversalTime -> Bool # (/=) :: UniversalTime -> UniversalTime -> Bool #
Eq Day
Instance details Defined in Data.Time.Calendar.Days Methods (==) :: Day -> Day -> Bool # (/=) :: Day -> Day -> Bool #
Eq UnpackedUUID
Instance details Defined in Data.UUID.Types.Internal Methods (==) :: UnpackedUUID -> UnpackedUUID -> Bool # (/=) :: UnpackedUUID -> UnpackedUUID -> Bool #
Eq UUID
Instance details Defined in Data.UUID.Types.Internal Methods (==) :: UUID -> UUID -> Bool # (/=) :: UUID -> UUID -> Bool #
Eq CodePoint
Instance details Defined in Data.Text.Encoding Methods (==) :: CodePoint -> CodePoint -> Bool # (/=) :: CodePoint -> CodePoint -> Bool #
Eq DecoderState
Instance details Defined in Data.Text.Encoding Methods (==) :: DecoderState -> DecoderState -> Bool # (/=) :: DecoderState -> DecoderState -> Bool #
Eq a => Eq [a]
Instance details Defined in GHC.Classes Methods (==) :: [a] -> [a] -> Bool # (/=) :: [a] -> [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 (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 (Ptr a)	Since: base-2.1
Instance details Defined in GHC.Ptr Methods (==) :: Ptr a -> Ptr a -> Bool # (/=) :: Ptr a -> Ptr a -> Bool #
Eq (FunPtr a)
Instance details Defined in GHC.Ptr Methods (==) :: FunPtr a -> FunPtr a -> Bool # (/=) :: FunPtr a -> FunPtr 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 a => Eq (IResult a)
Instance details Defined in Data.Aeson.Types.Internal Methods (==) :: IResult a -> IResult a -> Bool # (/=) :: IResult a -> IResult a -> Bool #
Eq a => Eq (Result a)
Instance details Defined in Data.Aeson.Types.Internal Methods (==) :: Result a -> Result a -> Bool # (/=) :: Result a -> Result a -> Bool #
Eq (Async a)
Instance details Defined in Control.Concurrent.Async Methods (==) :: Async a -> Async a -> Bool # (/=) :: Async a -> Async 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 (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 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 (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 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 (Option a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (==) :: Option a -> Option a -> Bool # (/=) :: Option a -> Option 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 (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 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 (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 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 (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 (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 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 (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 (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 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 (IntMap a)
Instance details Defined in Data.IntMap.Internal Methods (==) :: IntMap a -> IntMap a -> Bool # (/=) :: IntMap a -> IntMap a -> Bool #
Eq a => Eq (Tree a)
Instance details Defined in Data.Tree Methods (==) :: Tree a -> Tree a -> Bool # (/=) :: Tree a -> Tree a -> Bool #
Eq a => Eq (Seq a)
Instance details Defined in Data.Sequence.Internal Methods (==) :: Seq a -> Seq a -> Bool # (/=) :: Seq a -> Seq a -> Bool #
Eq a => Eq (ViewL a)
Instance details Defined in Data.Sequence.Internal Methods (==) :: ViewL a -> ViewL a -> Bool # (/=) :: ViewL a -> ViewL a -> Bool #
Eq a => Eq (ViewR a)
Instance details Defined in Data.Sequence.Internal Methods (==) :: ViewR a -> ViewR a -> Bool # (/=) :: ViewR a -> ViewR a -> Bool #
Eq a => Eq (Set a)
Instance details Defined in Data.Set.Internal Methods (==) :: Set a -> Set a -> Bool # (/=) :: Set a -> Set a -> Bool #
Eq a => Eq (DList a)
Instance details Defined in Data.DList Methods (==) :: DList a -> DList a -> Bool # (/=) :: DList a -> DList a -> Bool #
Eq a => Eq (Hashed a)	Uses precomputed hash to detect inequality faster
Instance details Defined in Data.Hashable.Class Methods (==) :: Hashed a -> Hashed a -> Bool # (/=) :: Hashed a -> Hashed a -> Bool #
(Prim a, Eq a) => Eq (Vector a)
Instance details Defined in Data.Vector.Primitive Methods (==) :: Vector a -> Vector a -> Bool # (/=) :: Vector a -> Vector a -> Bool #
(Storable a, Eq a) => Eq (Vector a)
Instance details Defined in Data.Vector.Storable Methods (==) :: Vector a -> Vector a -> Bool # (/=) :: Vector a -> Vector a -> Bool #
Eq a => Eq (HashSet a)
Instance details Defined in Data.HashSet Methods (==) :: HashSet a -> HashSet a -> Bool # (/=) :: HashSet a -> HashSet a -> Bool #
Eq a => Eq (Vector a)
Instance details Defined in Data.Vector Methods (==) :: Vector a -> Vector a -> Bool # (/=) :: Vector a -> Vector a -> Bool #
Eq (Doc a)
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods (==) :: Doc a -> Doc a -> Bool # (/=) :: Doc a -> Doc a -> Bool #
Eq a => Eq (AnnotDetails a)
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods (==) :: AnnotDetails a -> AnnotDetails a -> Bool # (/=) :: AnnotDetails a -> AnnotDetails a -> Bool #
Eq a => Eq (Span a)
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods (==) :: Span a -> Span a -> Bool # (/=) :: Span a -> Span a -> Bool #
(Eq a, PrimUnlifted a) => Eq (UnliftedArray a)
Instance details Defined in Data.Primitive.UnliftedArray Methods (==) :: UnliftedArray a -> UnliftedArray a -> Bool # (/=) :: UnliftedArray a -> UnliftedArray a -> Bool #
(Eq a, Prim a) => Eq (PrimArray a)	Since: primitive-0.6.4.0
Instance details Defined in Data.Primitive.PrimArray Methods (==) :: PrimArray a -> PrimArray a -> Bool # (/=) :: PrimArray a -> PrimArray a -> Bool #
Eq a => Eq (SmallArray a)
Instance details Defined in Data.Primitive.SmallArray Methods (==) :: SmallArray a -> SmallArray a -> Bool # (/=) :: SmallArray a -> SmallArray a -> Bool #
Eq a => Eq (Array a)
Instance details Defined in Data.Primitive.Array Methods (==) :: Array a -> Array a -> Bool # (/=) :: Array a -> Array 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 (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 (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 (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 a, Eq b) => Eq (a, b)
Instance details Defined in GHC.Classes Methods (==) :: (a, b) -> (a, b) -> Bool # (/=) :: (a, b) -> (a, b) -> Bool #
(Eq k, Eq v) => Eq (HashMap k v)
Instance details Defined in Data.HashMap.Base Methods (==) :: HashMap k v -> HashMap k v -> Bool # (/=) :: HashMap k v -> HashMap k v -> Bool #
(Eq k, Eq a) => Eq (Map k a)
Instance details Defined in Data.Map.Internal Methods (==) :: Map k a -> Map k a -> Bool # (/=) :: Map k a -> Map k a -> Bool #
(Ix i, Eq e) => Eq (Array i e)	Since: base-2.1
Instance details Defined in GHC.Arr Methods (==) :: Array i e -> Array i e -> Bool # (/=) :: Array i e -> Array i e -> 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 (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 #
(Eq1 f, Eq a) => Eq (Cofree f a)
Instance details Defined in Control.Comonad.Cofree Methods (==) :: Cofree f a -> Cofree f a -> Bool # (/=) :: Cofree f a -> Cofree f a -> Bool #
(Eq1 f, Eq a) => Eq (Free f a)
Instance details Defined in Control.Monad.Free Methods (==) :: Free f a -> Free f a -> Bool # (/=) :: Free f a -> Free f a -> Bool #
(Eq1 f, Eq a) => Eq (Yoneda f a)
Instance details Defined in Data.Functor.Yoneda Methods (==) :: Yoneda f a -> Yoneda f a -> Bool # (/=) :: Yoneda f a -> Yoneda f a -> Bool #
Eq (MutableUnliftedArray s a)
Instance details Defined in Data.Primitive.UnliftedArray Methods (==) :: MutableUnliftedArray s a -> MutableUnliftedArray s a -> Bool # (/=) :: MutableUnliftedArray s a -> MutableUnliftedArray s a -> Bool #
Eq (SmallMutableArray s a)
Instance details Defined in Data.Primitive.SmallArray Methods (==) :: SmallMutableArray s a -> SmallMutableArray s a -> Bool # (/=) :: SmallMutableArray s a -> SmallMutableArray s a -> Bool #
Eq (MutableArray s a)
Instance details Defined in Data.Primitive.Array Methods (==) :: MutableArray s a -> MutableArray s a -> Bool # (/=) :: MutableArray s a -> MutableArray s a -> Bool #
(Eq k, Eq v) => Eq (Leaf k v)
Instance details Defined in Data.HashMap.Base Methods (==) :: Leaf k v -> Leaf k v -> Bool # (/=) :: Leaf k v -> Leaf k v -> 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 #
Eq (STArray s i e)	Since: base-2.1
Instance details Defined in GHC.Arr Methods (==) :: STArray s i e -> STArray s i e -> Bool # (/=) :: STArray s i e -> STArray s i e -> 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 (Coercion a b)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Coercion Methods (==) :: Coercion a b -> Coercion a b -> Bool # (/=) :: Coercion a b -> Coercion a b -> 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 (p a a) => Eq (Join p a)
Instance details Defined in Data.Bifunctor.Join Methods (==) :: Join p a -> Join p a -> Bool # (/=) :: Join p a -> Join p a -> Bool #
Eq (p (Fix p a) a) => Eq (Fix p a)
Instance details Defined in Data.Bifunctor.Fix Methods (==) :: Fix p a -> Fix p a -> Bool # (/=) :: Fix p a -> Fix p a -> Bool #
(Eq e, Eq1 m, Eq a) => Eq (ExceptT e m a)
Instance details Defined in Control.Monad.Trans.Except Methods (==) :: ExceptT e m a -> ExceptT e m a -> Bool # (/=) :: ExceptT e m a -> ExceptT e m a -> Bool #
(Eq a, Eq (f b)) => Eq (FreeF f a b)
Instance details Defined in Control.Monad.Trans.Free Methods (==) :: FreeF f a b -> FreeF f a b -> Bool # (/=) :: FreeF f a b -> FreeF f a b -> Bool #
(Eq1 f, Eq1 m, Eq a) => Eq (FreeT f m a)
Instance details Defined in Control.Monad.Trans.Free Methods (==) :: FreeT f m a -> FreeT f m a -> Bool # (/=) :: FreeT f m a -> FreeT f m a -> Bool #
(Eq a, Eq (f b)) => Eq (CofreeF f a b)
Instance details Defined in Control.Comonad.Trans.Cofree Methods (==) :: CofreeF f a b -> CofreeF f a b -> Bool # (/=) :: CofreeF f a b -> CofreeF f a b -> Bool #
Eq (w (CofreeF f a (CofreeT f w a))) => Eq (CofreeT f w a)
Instance details Defined in Control.Comonad.Trans.Cofree Methods (==) :: CofreeT f w a -> CofreeT f w a -> Bool # (/=) :: CofreeT f w a -> CofreeT f w a -> Bool #
(Eq e, Eq1 m, Eq a) => Eq (ErrorT e m a)
Instance details Defined in Control.Monad.Trans.Error Methods (==) :: ErrorT e m a -> ErrorT e m a -> Bool # (/=) :: ErrorT e m a -> ErrorT e m a -> Bool #
Eq b => Eq (Tagged s b)
Instance details Defined in Data.Tagged Methods (==) :: Tagged s b -> Tagged s b -> Bool # (/=) :: Tagged s b -> Tagged s b -> 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 (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 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 #
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 (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 (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 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 (p a b) => Eq (WrappedBifunctor p a b)
Instance details Defined in Data.Bifunctor.Wrapped Methods (==) :: WrappedBifunctor p a b -> WrappedBifunctor p a b -> Bool # (/=) :: WrappedBifunctor p a b -> WrappedBifunctor p a b -> Bool #
Eq (g b) => Eq (Joker g a b)
Instance details Defined in Data.Bifunctor.Joker Methods (==) :: Joker g a b -> Joker g a b -> Bool # (/=) :: Joker g a b -> Joker g a b -> Bool #
Eq (p b a) => Eq (Flip p a b)
Instance details Defined in Data.Bifunctor.Flip Methods (==) :: Flip p a b -> Flip p a b -> Bool # (/=) :: Flip p a b -> Flip p a b -> Bool #
Eq (f a) => Eq (Clown f a b)
Instance details Defined in Data.Bifunctor.Clown Methods (==) :: Clown f a b -> Clown f a b -> Bool # (/=) :: Clown f a b -> Clown f a b -> 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 (p a b), Eq (q a b)) => Eq (Sum p q a b)
Instance details Defined in Data.Bifunctor.Sum Methods (==) :: Sum p q a b -> Sum p q a b -> Bool # (/=) :: Sum p q a b -> Sum p q a b -> Bool #
(Eq (f a b), Eq (g a b)) => Eq (Product f g a b)
Instance details Defined in Data.Bifunctor.Product Methods (==) :: Product f g a b -> Product f g a b -> Bool # (/=) :: Product f g a b -> Product f g a b -> 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 (f (p a b)) => Eq (Tannen f p a b)
Instance details Defined in Data.Bifunctor.Tannen Methods (==) :: Tannen f p a b -> Tannen f p a b -> Bool # (/=) :: Tannen f p a b -> Tannen f p a b -> 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 (p (f a) (g b)) => Eq (Biff p f g a b)
Instance details Defined in Data.Bifunctor.Biff Methods (==) :: Biff p f g a b -> Biff p f g a b -> Bool # (/=) :: Biff p f g a b -> Biff p f g a b -> 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

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 #
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 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 #
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 -> Complex a # atanh :: Complex a -> Complex a # log1p :: Complex a -> Complex a # expm1 :: Complex a -> Complex a # log1pexp :: Complex a -> Complex a # log1mexp :: Complex a -> Complex a #
Floating a => Floating (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods pi :: Identity a # exp :: Identity a -> Identity a # log :: Identity a -> Identity a # sqrt :: Identity a -> Identity a # (**) :: Identity a -> Identity a -> Identity a # logBase :: Identity a -> Identity a -> Identity a # sin :: Identity a -> Identity a # cos :: Identity a -> Identity a # tan :: Identity a -> Identity a # asin :: Identity a -> Identity a # acos :: Identity a -> Identity a # atan :: Identity a -> Identity a # sinh :: Identity a -> Identity a # cosh :: Identity a -> Identity a # tanh :: Identity a -> Identity a # asinh :: Identity a -> Identity a # acosh :: Identity a -> Identity a # atanh :: Identity a -> Identity a # log1p :: Identity a -> Identity a # expm1 :: Identity a -> Identity a # log1pexp :: Identity a -> Identity a # log1mexp :: Identity a -> Identity a #
Floating a => Floating (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods pi :: Const a b # exp :: Const a b -> Const a b # log :: Const a b -> Const a b # sqrt :: Const a b -> Const a b # (**) :: Const a b -> Const a b -> Const a b # logBase :: Const a b -> Const a b -> Const a b # sin :: Const a b -> Const a b # cos :: Const a b -> Const a b # tan :: Const a b -> Const a b # asin :: Const a b -> Const a b # acos :: Const a b -> Const a b # atan :: Const a b -> Const a b # sinh :: Const a b -> Const a b # cosh :: Const a b -> Const a b # tanh :: Const a b -> Const a b # asinh :: Const a b -> Const a b # acosh :: Const a b -> Const a b # atanh :: Const a b -> Const a b # log1p :: Const a b -> Const a b # expm1 :: Const a b -> Const a b # log1pexp :: Const a b -> Const a b # log1mexp :: Const a b -> Const a b #
Floating a => Floating (Tagged s a)
Instance details Defined in Data.Tagged Methods pi :: Tagged s a # exp :: Tagged s a -> Tagged s a # log :: Tagged s a -> Tagged s a # sqrt :: Tagged s a -> Tagged s a # (**) :: Tagged s a -> Tagged s a -> Tagged s a # logBase :: Tagged s a -> Tagged s a -> Tagged s a # sin :: Tagged s a -> Tagged s a # cos :: Tagged s a -> Tagged s a # tan :: Tagged s a -> Tagged s a # asin :: Tagged s a -> Tagged s a # acos :: Tagged s a -> Tagged s a # atan :: Tagged s a -> Tagged s a # sinh :: Tagged s a -> Tagged s a # cosh :: Tagged s a -> Tagged s a # tanh :: Tagged s a -> Tagged s a # asinh :: Tagged s a -> Tagged s a # acosh :: Tagged s a -> Tagged s a # atanh :: Tagged s a -> Tagged s a # log1p :: Tagged s a -> Tagged s a # expm1 :: Tagged s a -> Tagged s a # log1pexp :: Tagged s a -> Tagged s a # log1mexp :: Tagged s a -> Tagged s a #

class Num a => Fractional a where #

Fractional numbers, supporting real division.

The Haskell Report defines no laws for Fractional. However, '(+)' and '(*)' are customarily expected to define a division ring and have the following properties:

recip gives the multiplicative inverse: x * recip x = recip x * x = fromInteger 1

Note that it isn't customarily expected that a type instance of Fractional implement a field. However, all instances in base do.

Minimal complete definition

fromRational, (recip | (/))

Methods

(/) :: a -> a -> a infixl 7 #

fractional division

recip :: a -> a #

reciprocal fraction

fromRational :: Rational -> a #

Conversion from a Rational (that is Ratio Integer). A floating literal stands for an application of fromRational to a value of type Rational, so such literals have type (Fractional a) => a.

Instances

Fractional Scientific	WARNING: `recip` and `/` will throw an error when their outputs are repeating decimals. `fromRational` will throw an error when the input `Rational` is a repeating decimal. Consider using `fromRationalRepetend` for these rationals which will detect the repetition and indicate where it starts.
Instance details Defined in Data.Scientific Methods (/) :: Scientific -> Scientific -> Scientific # recip :: Scientific -> Scientific # fromRational :: Rational -> Scientific #
Fractional CFloat
Instance details Defined in Foreign.C.Types Methods (/) :: CFloat -> CFloat -> CFloat # recip :: CFloat -> CFloat # fromRational :: Rational -> CFloat #
Fractional CDouble
Instance details Defined in Foreign.C.Types Methods (/) :: CDouble -> CDouble -> CDouble # recip :: CDouble -> CDouble # fromRational :: Rational -> CDouble #
Integral a => Fractional (Ratio a)	Since: base-2.0.1
Instance details Defined in GHC.Real Methods (/) :: Ratio a -> Ratio a -> Ratio a # recip :: Ratio a -> Ratio a # fromRational :: Rational -> Ratio a #
RealFloat a => Fractional (Complex a)	Since: base-2.1
Instance details Defined in Data.Complex Methods (/) :: Complex a -> Complex a -> Complex a # recip :: Complex a -> Complex a # fromRational :: Rational -> Complex a #
Fractional a => Fractional (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods (/) :: Identity a -> Identity a -> Identity a # recip :: Identity a -> Identity a # fromRational :: Rational -> Identity a #
Fractional a => Fractional (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods (/) :: Const a b -> Const a b -> Const a b # recip :: Const a b -> Const a b # fromRational :: Rational -> Const a b #
Fractional a => Fractional (Tagged s a)
Instance details Defined in Data.Tagged Methods (/) :: Tagged s a -> Tagged s a -> Tagged s a # recip :: Tagged s a -> Tagged s a # fromRational :: Rational -> Tagged s a #

class (Real a, Enum a) => Integral a where #

Integral numbers, supporting integer division.

The Haskell Report defines no laws for Integral. However, Integral instances are customarily expected to define a Euclidean domain and have the following properties for the 'div'/'mod' and 'quot'/'rem' pairs, given suitable Euclidean functions f and g:

x = y * quot x y + rem x y with rem x y = fromInteger 0 or g (rem x y) < g y
x = y * div x y + mod x y with mod x y = fromInteger 0 or f (mod x y) < f y

An example of a suitable Euclidean function, for Integer's instance, is abs.

Minimal complete definition

quotRem, toInteger

Methods

quot :: a -> a -> a infixl 7 #

integer division truncated toward zero

rem :: a -> a -> a infixl 7 #

integer remainder, satisfying

(x `quot` y)*y + (x `rem` y) == x

div :: a -> a -> a infixl 7 #

integer division truncated toward negative infinity

mod :: a -> a -> a infixl 7 #

integer modulus, satisfying

(x `div` y)*y + (x `mod` y) == x

quotRem :: a -> a -> (a, a) #

simultaneous quot and rem

divMod :: a -> a -> (a, a) #

simultaneous div and mod

toInteger :: a -> Integer #

conversion to Integer

Instances

Integral Int	Since: base-2.0.1
Instance details Defined in GHC.Real Methods quot :: Int -> Int -> Int # rem :: Int -> Int -> Int # div :: Int -> Int -> Int # mod :: Int -> Int -> Int # quotRem :: Int -> Int -> (Int, Int) # divMod :: Int -> Int -> (Int, Int) # toInteger :: Int -> Integer #
Integral Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods quot :: Int8 -> Int8 -> Int8 # rem :: Int8 -> Int8 -> Int8 # div :: Int8 -> Int8 -> Int8 # mod :: Int8 -> Int8 -> Int8 # quotRem :: Int8 -> Int8 -> (Int8, Int8) # divMod :: Int8 -> Int8 -> (Int8, Int8) # toInteger :: Int8 -> Integer #
Integral Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods quot :: Int16 -> Int16 -> Int16 # rem :: Int16 -> Int16 -> Int16 # div :: Int16 -> Int16 -> Int16 # mod :: Int16 -> Int16 -> Int16 # quotRem :: Int16 -> Int16 -> (Int16, Int16) # divMod :: Int16 -> Int16 -> (Int16, Int16) # toInteger :: Int16 -> Integer #
Integral Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods quot :: Int32 -> Int32 -> Int32 # rem :: Int32 -> Int32 -> Int32 # div :: Int32 -> Int32 -> Int32 # mod :: Int32 -> Int32 -> Int32 # quotRem :: Int32 -> Int32 -> (Int32, Int32) # divMod :: Int32 -> Int32 -> (Int32, Int32) # toInteger :: Int32 -> Integer #
Integral Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods quot :: Int64 -> Int64 -> Int64 # rem :: Int64 -> Int64 -> Int64 # div :: Int64 -> Int64 -> Int64 # mod :: Int64 -> Int64 -> Int64 # quotRem :: Int64 -> Int64 -> (Int64, Int64) # divMod :: Int64 -> Int64 -> (Int64, Int64) # toInteger :: Int64 -> Integer #
Integral Integer	Since: base-2.0.1
Instance details Defined in GHC.Real Methods quot :: Integer -> Integer -> Integer # rem :: Integer -> Integer -> Integer # div :: Integer -> Integer -> Integer # mod :: Integer -> Integer -> Integer # quotRem :: Integer -> Integer -> (Integer, Integer) # divMod :: Integer -> Integer -> (Integer, Integer) # toInteger :: Integer -> Integer #
Integral Natural	Since: base-4.8.0.0
Instance details Defined in GHC.Real Methods quot :: Natural -> Natural -> Natural # rem :: Natural -> Natural -> Natural # div :: Natural -> Natural -> Natural # mod :: Natural -> Natural -> Natural # quotRem :: Natural -> Natural -> (Natural, Natural) # divMod :: Natural -> Natural -> (Natural, Natural) # toInteger :: Natural -> Integer #
Integral Word	Since: base-2.1
Instance details Defined in GHC.Real Methods quot :: Word -> Word -> Word # rem :: Word -> Word -> Word # div :: Word -> Word -> Word # mod :: Word -> Word -> Word # quotRem :: Word -> Word -> (Word, Word) # divMod :: Word -> Word -> (Word, Word) # toInteger :: Word -> Integer #
Integral Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods quot :: Word8 -> Word8 -> Word8 # rem :: Word8 -> Word8 -> Word8 # div :: Word8 -> Word8 -> Word8 # mod :: Word8 -> Word8 -> Word8 # quotRem :: Word8 -> Word8 -> (Word8, Word8) # divMod :: Word8 -> Word8 -> (Word8, Word8) # toInteger :: Word8 -> Integer #
Integral Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods quot :: Word16 -> Word16 -> Word16 # rem :: Word16 -> Word16 -> Word16 # div :: Word16 -> Word16 -> Word16 # mod :: Word16 -> Word16 -> Word16 # quotRem :: Word16 -> Word16 -> (Word16, Word16) # divMod :: Word16 -> Word16 -> (Word16, Word16) # toInteger :: Word16 -> Integer #
Integral Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods quot :: Word32 -> Word32 -> Word32 # rem :: Word32 -> Word32 -> Word32 # div :: Word32 -> Word32 -> Word32 # mod :: Word32 -> Word32 -> Word32 # quotRem :: Word32 -> Word32 -> (Word32, Word32) # divMod :: Word32 -> Word32 -> (Word32, Word32) # toInteger :: Word32 -> Integer #
Integral Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods quot :: Word64 -> Word64 -> Word64 # rem :: Word64 -> Word64 -> Word64 # div :: Word64 -> Word64 -> Word64 # mod :: Word64 -> Word64 -> Word64 # quotRem :: Word64 -> Word64 -> (Word64, Word64) # divMod :: Word64 -> Word64 -> (Word64, Word64) # toInteger :: Word64 -> Integer #
Integral CDev
Instance details Defined in System.Posix.Types Methods quot :: CDev -> CDev -> CDev # rem :: CDev -> CDev -> CDev # div :: CDev -> CDev -> CDev # mod :: CDev -> CDev -> CDev # quotRem :: CDev -> CDev -> (CDev, CDev) # divMod :: CDev -> CDev -> (CDev, CDev) # toInteger :: CDev -> Integer #
Integral CIno
Instance details Defined in System.Posix.Types Methods quot :: CIno -> CIno -> CIno # rem :: CIno -> CIno -> CIno # div :: CIno -> CIno -> CIno # mod :: CIno -> CIno -> CIno # quotRem :: CIno -> CIno -> (CIno, CIno) # divMod :: CIno -> CIno -> (CIno, CIno) # toInteger :: CIno -> Integer #
Integral CMode
Instance details Defined in System.Posix.Types Methods quot :: CMode -> CMode -> CMode # rem :: CMode -> CMode -> CMode # div :: CMode -> CMode -> CMode # mod :: CMode -> CMode -> CMode # quotRem :: CMode -> CMode -> (CMode, CMode) # divMod :: CMode -> CMode -> (CMode, CMode) # toInteger :: CMode -> Integer #
Integral COff
Instance details Defined in System.Posix.Types Methods quot :: COff -> COff -> COff # rem :: COff -> COff -> COff # div :: COff -> COff -> COff # mod :: COff -> COff -> COff # quotRem :: COff -> COff -> (COff, COff) # divMod :: COff -> COff -> (COff, COff) # toInteger :: COff -> Integer #
Integral CPid
Instance details Defined in System.Posix.Types Methods quot :: CPid -> CPid -> CPid # rem :: CPid -> CPid -> CPid # div :: CPid -> CPid -> CPid # mod :: CPid -> CPid -> CPid # quotRem :: CPid -> CPid -> (CPid, CPid) # divMod :: CPid -> CPid -> (CPid, CPid) # toInteger :: CPid -> Integer #
Integral CSsize
Instance details Defined in System.Posix.Types Methods quot :: CSsize -> CSsize -> CSsize # rem :: CSsize -> CSsize -> CSsize # div :: CSsize -> CSsize -> CSsize # mod :: CSsize -> CSsize -> CSsize # quotRem :: CSsize -> CSsize -> (CSsize, CSsize) # divMod :: CSsize -> CSsize -> (CSsize, CSsize) # toInteger :: CSsize -> Integer #
Integral CGid
Instance details Defined in System.Posix.Types Methods quot :: CGid -> CGid -> CGid # rem :: CGid -> CGid -> CGid # div :: CGid -> CGid -> CGid # mod :: CGid -> CGid -> CGid # quotRem :: CGid -> CGid -> (CGid, CGid) # divMod :: CGid -> CGid -> (CGid, CGid) # toInteger :: CGid -> Integer #
Integral CNlink
Instance details Defined in System.Posix.Types Methods quot :: CNlink -> CNlink -> CNlink # rem :: CNlink -> CNlink -> CNlink # div :: CNlink -> CNlink -> CNlink # mod :: CNlink -> CNlink -> CNlink # quotRem :: CNlink -> CNlink -> (CNlink, CNlink) # divMod :: CNlink -> CNlink -> (CNlink, CNlink) # toInteger :: CNlink -> Integer #
Integral CUid
Instance details Defined in System.Posix.Types Methods quot :: CUid -> CUid -> CUid # rem :: CUid -> CUid -> CUid # div :: CUid -> CUid -> CUid # mod :: CUid -> CUid -> CUid # quotRem :: CUid -> CUid -> (CUid, CUid) # divMod :: CUid -> CUid -> (CUid, CUid) # toInteger :: CUid -> Integer #
Integral CTcflag
Instance details Defined in System.Posix.Types Methods quot :: CTcflag -> CTcflag -> CTcflag # rem :: CTcflag -> CTcflag -> CTcflag # div :: CTcflag -> CTcflag -> CTcflag # mod :: CTcflag -> CTcflag -> CTcflag # quotRem :: CTcflag -> CTcflag -> (CTcflag, CTcflag) # divMod :: CTcflag -> CTcflag -> (CTcflag, CTcflag) # toInteger :: CTcflag -> Integer #
Integral CRLim
Instance details Defined in System.Posix.Types Methods quot :: CRLim -> CRLim -> CRLim # rem :: CRLim -> CRLim -> CRLim # div :: CRLim -> CRLim -> CRLim # mod :: CRLim -> CRLim -> CRLim # quotRem :: CRLim -> CRLim -> (CRLim, CRLim) # divMod :: CRLim -> CRLim -> (CRLim, CRLim) # toInteger :: CRLim -> Integer #
Integral CBlkSize
Instance details Defined in System.Posix.Types Methods quot :: CBlkSize -> CBlkSize -> CBlkSize # rem :: CBlkSize -> CBlkSize -> CBlkSize # div :: CBlkSize -> CBlkSize -> CBlkSize # mod :: CBlkSize -> CBlkSize -> CBlkSize # quotRem :: CBlkSize -> CBlkSize -> (CBlkSize, CBlkSize) # divMod :: CBlkSize -> CBlkSize -> (CBlkSize, CBlkSize) # toInteger :: CBlkSize -> Integer #
Integral CBlkCnt
Instance details Defined in System.Posix.Types Methods quot :: CBlkCnt -> CBlkCnt -> CBlkCnt # rem :: CBlkCnt -> CBlkCnt -> CBlkCnt # div :: CBlkCnt -> CBlkCnt -> CBlkCnt # mod :: CBlkCnt -> CBlkCnt -> CBlkCnt # quotRem :: CBlkCnt -> CBlkCnt -> (CBlkCnt, CBlkCnt) # divMod :: CBlkCnt -> CBlkCnt -> (CBlkCnt, CBlkCnt) # toInteger :: CBlkCnt -> Integer #
Integral CClockId
Instance details Defined in System.Posix.Types Methods quot :: CClockId -> CClockId -> CClockId # rem :: CClockId -> CClockId -> CClockId # div :: CClockId -> CClockId -> CClockId # mod :: CClockId -> CClockId -> CClockId # quotRem :: CClockId -> CClockId -> (CClockId, CClockId) # divMod :: CClockId -> CClockId -> (CClockId, CClockId) # toInteger :: CClockId -> Integer #
Integral CFsBlkCnt
Instance details Defined in System.Posix.Types Methods quot :: CFsBlkCnt -> CFsBlkCnt -> CFsBlkCnt # rem :: CFsBlkCnt -> CFsBlkCnt -> CFsBlkCnt # div :: CFsBlkCnt -> CFsBlkCnt -> CFsBlkCnt # mod :: CFsBlkCnt -> CFsBlkCnt -> CFsBlkCnt # quotRem :: CFsBlkCnt -> CFsBlkCnt -> (CFsBlkCnt, CFsBlkCnt) # divMod :: CFsBlkCnt -> CFsBlkCnt -> (CFsBlkCnt, CFsBlkCnt) # toInteger :: CFsBlkCnt -> Integer #
Integral CFsFilCnt
Instance details Defined in System.Posix.Types Methods quot :: CFsFilCnt -> CFsFilCnt -> CFsFilCnt # rem :: CFsFilCnt -> CFsFilCnt -> CFsFilCnt # div :: CFsFilCnt -> CFsFilCnt -> CFsFilCnt # mod :: CFsFilCnt -> CFsFilCnt -> CFsFilCnt # quotRem :: CFsFilCnt -> CFsFilCnt -> (CFsFilCnt, CFsFilCnt) # divMod :: CFsFilCnt -> CFsFilCnt -> (CFsFilCnt, CFsFilCnt) # toInteger :: CFsFilCnt -> Integer #
Integral CId
Instance details Defined in System.Posix.Types Methods quot :: CId -> CId -> CId # rem :: CId -> CId -> CId # div :: CId -> CId -> CId # mod :: CId -> CId -> CId # quotRem :: CId -> CId -> (CId, CId) # divMod :: CId -> CId -> (CId, CId) # toInteger :: CId -> Integer #
Integral CKey
Instance details Defined in System.Posix.Types Methods quot :: CKey -> CKey -> CKey # rem :: CKey -> CKey -> CKey # div :: CKey -> CKey -> CKey # mod :: CKey -> CKey -> CKey # quotRem :: CKey -> CKey -> (CKey, CKey) # divMod :: CKey -> CKey -> (CKey, CKey) # toInteger :: CKey -> Integer #
Integral Fd
Instance details Defined in System.Posix.Types Methods quot :: Fd -> Fd -> Fd # rem :: Fd -> Fd -> Fd # div :: Fd -> Fd -> Fd # mod :: Fd -> Fd -> Fd # quotRem :: Fd -> Fd -> (Fd, Fd) # divMod :: Fd -> Fd -> (Fd, Fd) # toInteger :: Fd -> Integer #
Integral CChar
Instance details Defined in Foreign.C.Types Methods quot :: CChar -> CChar -> CChar # rem :: CChar -> CChar -> CChar # div :: CChar -> CChar -> CChar # mod :: CChar -> CChar -> CChar # quotRem :: CChar -> CChar -> (CChar, CChar) # divMod :: CChar -> CChar -> (CChar, CChar) # toInteger :: CChar -> Integer #
Integral CSChar
Instance details Defined in Foreign.C.Types Methods quot :: CSChar -> CSChar -> CSChar # rem :: CSChar -> CSChar -> CSChar # div :: CSChar -> CSChar -> CSChar # mod :: CSChar -> CSChar -> CSChar # quotRem :: CSChar -> CSChar -> (CSChar, CSChar) # divMod :: CSChar -> CSChar -> (CSChar, CSChar) # toInteger :: CSChar -> Integer #
Integral CUChar
Instance details Defined in Foreign.C.Types Methods quot :: CUChar -> CUChar -> CUChar # rem :: CUChar -> CUChar -> CUChar # div :: CUChar -> CUChar -> CUChar # mod :: CUChar -> CUChar -> CUChar # quotRem :: CUChar -> CUChar -> (CUChar, CUChar) # divMod :: CUChar -> CUChar -> (CUChar, CUChar) # toInteger :: CUChar -> Integer #
Integral CShort
Instance details Defined in Foreign.C.Types Methods quot :: CShort -> CShort -> CShort # rem :: CShort -> CShort -> CShort # div :: CShort -> CShort -> CShort # mod :: CShort -> CShort -> CShort # quotRem :: CShort -> CShort -> (CShort, CShort) # divMod :: CShort -> CShort -> (CShort, CShort) # toInteger :: CShort -> Integer #
Integral CUShort
Instance details Defined in Foreign.C.Types Methods quot :: CUShort -> CUShort -> CUShort # rem :: CUShort -> CUShort -> CUShort # div :: CUShort -> CUShort -> CUShort # mod :: CUShort -> CUShort -> CUShort # quotRem :: CUShort -> CUShort -> (CUShort, CUShort) # divMod :: CUShort -> CUShort -> (CUShort, CUShort) # toInteger :: CUShort -> Integer #
Integral CInt
Instance details Defined in Foreign.C.Types Methods quot :: CInt -> CInt -> CInt # rem :: CInt -> CInt -> CInt # div :: CInt -> CInt -> CInt # mod :: CInt -> CInt -> CInt # quotRem :: CInt -> CInt -> (CInt, CInt) # divMod :: CInt -> CInt -> (CInt, CInt) # toInteger :: CInt -> Integer #
Integral CUInt
Instance details Defined in Foreign.C.Types Methods quot :: CUInt -> CUInt -> CUInt # rem :: CUInt -> CUInt -> CUInt # div :: CUInt -> CUInt -> CUInt # mod :: CUInt -> CUInt -> CUInt # quotRem :: CUInt -> CUInt -> (CUInt, CUInt) # divMod :: CUInt -> CUInt -> (CUInt, CUInt) # toInteger :: CUInt -> Integer #
Integral CLong
Instance details Defined in Foreign.C.Types Methods quot :: CLong -> CLong -> CLong # rem :: CLong -> CLong -> CLong # div :: CLong -> CLong -> CLong # mod :: CLong -> CLong -> CLong # quotRem :: CLong -> CLong -> (CLong, CLong) # divMod :: CLong -> CLong -> (CLong, CLong) # toInteger :: CLong -> Integer #
Integral CULong
Instance details Defined in Foreign.C.Types Methods quot :: CULong -> CULong -> CULong # rem :: CULong -> CULong -> CULong # div :: CULong -> CULong -> CULong # mod :: CULong -> CULong -> CULong # quotRem :: CULong -> CULong -> (CULong, CULong) # divMod :: CULong -> CULong -> (CULong, CULong) # toInteger :: CULong -> Integer #
Integral CLLong
Instance details Defined in Foreign.C.Types Methods quot :: CLLong -> CLLong -> CLLong # rem :: CLLong -> CLLong -> CLLong # div :: CLLong -> CLLong -> CLLong # mod :: CLLong -> CLLong -> CLLong # quotRem :: CLLong -> CLLong -> (CLLong, CLLong) # divMod :: CLLong -> CLLong -> (CLLong, CLLong) # toInteger :: CLLong -> Integer #
Integral CULLong
Instance details Defined in Foreign.C.Types Methods quot :: CULLong -> CULLong -> CULLong # rem :: CULLong -> CULLong -> CULLong # div :: CULLong -> CULLong -> CULLong # mod :: CULLong -> CULLong -> CULLong # quotRem :: CULLong -> CULLong -> (CULLong, CULLong) # divMod :: CULLong -> CULLong -> (CULLong, CULLong) # toInteger :: CULLong -> Integer #
Integral CBool
Instance details Defined in Foreign.C.Types Methods quot :: CBool -> CBool -> CBool # rem :: CBool -> CBool -> CBool # div :: CBool -> CBool -> CBool # mod :: CBool -> CBool -> CBool # quotRem :: CBool -> CBool -> (CBool, CBool) # divMod :: CBool -> CBool -> (CBool, CBool) # toInteger :: CBool -> Integer #
Integral CPtrdiff
Instance details Defined in Foreign.C.Types Methods quot :: CPtrdiff -> CPtrdiff -> CPtrdiff # rem :: CPtrdiff -> CPtrdiff -> CPtrdiff # div :: CPtrdiff -> CPtrdiff -> CPtrdiff # mod :: CPtrdiff -> CPtrdiff -> CPtrdiff # quotRem :: CPtrdiff -> CPtrdiff -> (CPtrdiff, CPtrdiff) # divMod :: CPtrdiff -> CPtrdiff -> (CPtrdiff, CPtrdiff) # toInteger :: CPtrdiff -> Integer #
Integral CSize
Instance details Defined in Foreign.C.Types Methods quot :: CSize -> CSize -> CSize # rem :: CSize -> CSize -> CSize # div :: CSize -> CSize -> CSize # mod :: CSize -> CSize -> CSize # quotRem :: CSize -> CSize -> (CSize, CSize) # divMod :: CSize -> CSize -> (CSize, CSize) # toInteger :: CSize -> Integer #
Integral CWchar
Instance details Defined in Foreign.C.Types Methods quot :: CWchar -> CWchar -> CWchar # rem :: CWchar -> CWchar -> CWchar # div :: CWchar -> CWchar -> CWchar # mod :: CWchar -> CWchar -> CWchar # quotRem :: CWchar -> CWchar -> (CWchar, CWchar) # divMod :: CWchar -> CWchar -> (CWchar, CWchar) # toInteger :: CWchar -> Integer #
Integral CSigAtomic
Instance details Defined in Foreign.C.Types Methods quot :: CSigAtomic -> CSigAtomic -> CSigAtomic # rem :: CSigAtomic -> CSigAtomic -> CSigAtomic # div :: CSigAtomic -> CSigAtomic -> CSigAtomic # mod :: CSigAtomic -> CSigAtomic -> CSigAtomic # quotRem :: CSigAtomic -> CSigAtomic -> (CSigAtomic, CSigAtomic) # divMod :: CSigAtomic -> CSigAtomic -> (CSigAtomic, CSigAtomic) # toInteger :: CSigAtomic -> Integer #
Integral CIntPtr
Instance details Defined in Foreign.C.Types Methods quot :: CIntPtr -> CIntPtr -> CIntPtr # rem :: CIntPtr -> CIntPtr -> CIntPtr # div :: CIntPtr -> CIntPtr -> CIntPtr # mod :: CIntPtr -> CIntPtr -> CIntPtr # quotRem :: CIntPtr -> CIntPtr -> (CIntPtr, CIntPtr) # divMod :: CIntPtr -> CIntPtr -> (CIntPtr, CIntPtr) # toInteger :: CIntPtr -> Integer #
Integral CUIntPtr
Instance details Defined in Foreign.C.Types Methods quot :: CUIntPtr -> CUIntPtr -> CUIntPtr # rem :: CUIntPtr -> CUIntPtr -> CUIntPtr # div :: CUIntPtr -> CUIntPtr -> CUIntPtr # mod :: CUIntPtr -> CUIntPtr -> CUIntPtr # quotRem :: CUIntPtr -> CUIntPtr -> (CUIntPtr, CUIntPtr) # divMod :: CUIntPtr -> CUIntPtr -> (CUIntPtr, CUIntPtr) # toInteger :: CUIntPtr -> Integer #
Integral CIntMax
Instance details Defined in Foreign.C.Types Methods quot :: CIntMax -> CIntMax -> CIntMax # rem :: CIntMax -> CIntMax -> CIntMax # div :: CIntMax -> CIntMax -> CIntMax # mod :: CIntMax -> CIntMax -> CIntMax # quotRem :: CIntMax -> CIntMax -> (CIntMax, CIntMax) # divMod :: CIntMax -> CIntMax -> (CIntMax, CIntMax) # toInteger :: CIntMax -> Integer #
Integral CUIntMax
Instance details Defined in Foreign.C.Types Methods quot :: CUIntMax -> CUIntMax -> CUIntMax # rem :: CUIntMax -> CUIntMax -> CUIntMax # div :: CUIntMax -> CUIntMax -> CUIntMax # mod :: CUIntMax -> CUIntMax -> CUIntMax # quotRem :: CUIntMax -> CUIntMax -> (CUIntMax, CUIntMax) # divMod :: CUIntMax -> CUIntMax -> (CUIntMax, CUIntMax) # toInteger :: CUIntMax -> Integer #
Integral WordPtr
Instance details Defined in Foreign.Ptr Methods quot :: WordPtr -> WordPtr -> WordPtr # rem :: WordPtr -> WordPtr -> WordPtr # div :: WordPtr -> WordPtr -> WordPtr # mod :: WordPtr -> WordPtr -> WordPtr # quotRem :: WordPtr -> WordPtr -> (WordPtr, WordPtr) # divMod :: WordPtr -> WordPtr -> (WordPtr, WordPtr) # toInteger :: WordPtr -> Integer #
Integral IntPtr
Instance details Defined in Foreign.Ptr Methods quot :: IntPtr -> IntPtr -> IntPtr # rem :: IntPtr -> IntPtr -> IntPtr # div :: IntPtr -> IntPtr -> IntPtr # mod :: IntPtr -> IntPtr -> IntPtr # quotRem :: IntPtr -> IntPtr -> (IntPtr, IntPtr) # divMod :: IntPtr -> IntPtr -> (IntPtr, IntPtr) # toInteger :: IntPtr -> Integer #
Integral a => Integral (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods quot :: Identity a -> Identity a -> Identity a # rem :: Identity a -> Identity a -> Identity a # div :: Identity a -> Identity a -> Identity a # mod :: Identity a -> Identity a -> Identity a # quotRem :: Identity a -> Identity a -> (Identity a, Identity a) # divMod :: Identity a -> Identity a -> (Identity a, Identity a) # toInteger :: Identity a -> Integer #
Integral a => Integral (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods quot :: Const a b -> Const a b -> Const a b # rem :: Const a b -> Const a b -> Const a b # div :: Const a b -> Const a b -> Const a b # mod :: Const a b -> Const a b -> Const a b # quotRem :: Const a b -> Const a b -> (Const a b, Const a b) # divMod :: Const a b -> Const a b -> (Const a b, Const a b) # toInteger :: Const a b -> Integer #
Integral a => Integral (Tagged s a)
Instance details Defined in Data.Tagged Methods quot :: Tagged s a -> Tagged s a -> Tagged s a # rem :: Tagged s a -> Tagged s a -> Tagged s a # div :: Tagged s a -> Tagged s a -> Tagged s a # mod :: Tagged s a -> Tagged s a -> Tagged s a # quotRem :: Tagged s a -> Tagged s a -> (Tagged s a, Tagged s a) # divMod :: Tagged s a -> Tagged s a -> (Tagged s a, Tagged s a) # toInteger :: Tagged s a -> Integer #

class Applicative m => Monad (m :: Type -> Type) where #

The Monad class defines the basic operations over a monad, a concept from a branch of mathematics known as category theory. From the perspective of a Haskell programmer, however, it is best to think of a monad as an abstract datatype of actions. Haskell's do expressions provide a convenient syntax for writing monadic expressions.

Instances of Monad should satisfy the following laws:

```
return a >>= k  =  k a
```
```
m >>= return  =  m
```

m >>= (\x -> k x >>= h)  =  (m >>= k) >>= h

Furthermore, the Monad and Applicative operations should relate as follows:

```
pure = return
```
```
(<*>) = ap
```

The above laws imply:

```
fmap f xs  =  xs >>= return . f
```
```
(>>) = (*>)
```

and that pure and (<*>) satisfy the applicative functor laws.

The instances of Monad for lists, Maybe and IO defined in the Prelude satisfy these laws.

Minimal complete definition

(>>=)

Methods

(>>=) :: m a -> (a -> m b) -> m b infixl 1 #

Sequentially compose two actions, passing any value produced by the first as an argument to the second.

(>>) :: m a -> m b -> m b infixl 1 #

Sequentially compose two actions, discarding any value produced by the first, like sequencing operators (such as the semicolon) in imperative languages.

return :: a -> m a #

Inject a value into the monadic type.

fail :: String -> m a #

Fail with a message. This operation is not part of the mathematical definition of a monad, but is invoked on pattern-match failure in a do expression.

As part of the MonadFail proposal (MFP), this function is moved to its own class MonadFail (see Control.Monad.Fail for more details). The definition here will be removed in a future release.

Instances

Monad []	Since: base-2.1
Instance details Defined in GHC.Base Methods (>>=) :: [a] -> (a -> [b]) -> [b] # (>>) :: [a] -> [b] -> [b] # return :: a -> [a] # fail :: String -> [a] #
Monad Maybe	Since: base-2.1
Instance details Defined in GHC.Base Methods (>>=) :: Maybe a -> (a -> Maybe b) -> Maybe b # (>>) :: Maybe a -> Maybe b -> Maybe b # return :: a -> Maybe a # fail :: String -> Maybe a #
Monad IO	Since: base-2.1
Instance details Defined in GHC.Base Methods (>>=) :: IO a -> (a -> IO b) -> IO b # (>>) :: IO a -> IO b -> IO b # return :: a -> IO a # fail :: String -> IO a #
Monad Par1	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (>>=) :: Par1 a -> (a -> Par1 b) -> Par1 b # (>>) :: Par1 a -> Par1 b -> Par1 b # return :: a -> Par1 a # fail :: String -> Par1 a #
Monad Q
Instance details Defined in Language.Haskell.TH.Syntax Methods (>>=) :: Q a -> (a -> Q b) -> Q b # (>>) :: Q a -> Q b -> Q b # return :: a -> Q a # fail :: String -> Q a #
Monad IResult
Instance details Defined in Data.Aeson.Types.Internal Methods (>>=) :: IResult a -> (a -> IResult b) -> IResult b # (>>) :: IResult a -> IResult b -> IResult b # return :: a -> IResult a # fail :: String -> IResult a #
Monad Result
Instance details Defined in Data.Aeson.Types.Internal Methods (>>=) :: Result a -> (a -> Result b) -> Result b # (>>) :: Result a -> Result b -> Result b # return :: a -> Result a # fail :: String -> Result a #
Monad Parser
Instance details Defined in Data.Aeson.Types.Internal Methods (>>=) :: Parser a -> (a -> Parser b) -> Parser b # (>>) :: Parser a -> Parser b -> Parser b # return :: a -> Parser a # fail :: String -> Parser a #
Monad Complex	Since: base-4.9.0.0
Instance details Defined in Data.Complex Methods (>>=) :: Complex a -> (a -> Complex b) -> Complex b # (>>) :: Complex a -> Complex b -> Complex b # return :: a -> Complex a # fail :: String -> Complex a #
Monad Min	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (>>=) :: Min a -> (a -> Min b) -> Min b # (>>) :: Min a -> Min b -> Min b # return :: a -> Min a # fail :: String -> Min a #
Monad Max	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (>>=) :: Max a -> (a -> Max b) -> Max b # (>>) :: Max a -> Max b -> Max b # return :: a -> Max a # fail :: String -> Max a #
Monad First	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (>>=) :: First a -> (a -> First b) -> First b # (>>) :: First a -> First b -> First b # return :: a -> First a # fail :: String -> First a #
Monad Last	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (>>=) :: Last a -> (a -> Last b) -> Last b # (>>) :: Last a -> Last b -> Last b # return :: a -> Last a # fail :: String -> Last a #
Monad Option	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (>>=) :: Option a -> (a -> Option b) -> Option b # (>>) :: Option a -> Option b -> Option b # return :: a -> Option a # fail :: String -> Option a #
Monad Identity	Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity Methods (>>=) :: Identity a -> (a -> Identity b) -> Identity b # (>>) :: Identity a -> Identity b -> Identity b # return :: a -> Identity a # fail :: String -> Identity a #
Monad STM	Since: base-4.3.0.0
Instance details Defined in GHC.Conc.Sync Methods (>>=) :: STM a -> (a -> STM b) -> STM b # (>>) :: STM a -> STM b -> STM b # return :: a -> STM a # fail :: String -> STM a #
Monad First	Since: base-4.8.0.0
Instance details Defined in Data.Monoid Methods (>>=) :: First a -> (a -> First b) -> First b # (>>) :: First a -> First b -> First b # return :: a -> First a # fail :: String -> First a #
Monad Last	Since: base-4.8.0.0
Instance details Defined in Data.Monoid Methods (>>=) :: Last a -> (a -> Last b) -> Last b # (>>) :: Last a -> Last b -> Last b # return :: a -> Last a # fail :: String -> Last a #
Monad Dual	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods (>>=) :: Dual a -> (a -> Dual b) -> Dual b # (>>) :: Dual a -> Dual b -> Dual b # return :: a -> Dual a # fail :: String -> Dual a #
Monad Sum	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods (>>=) :: Sum a -> (a -> Sum b) -> Sum b # (>>) :: Sum a -> Sum b -> Sum b # return :: a -> Sum a # fail :: String -> Sum a #
Monad Product	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods (>>=) :: Product a -> (a -> Product b) -> Product b # (>>) :: Product a -> Product b -> Product b # return :: a -> Product a # fail :: String -> Product a #
Monad Down	Since: base-4.11.0.0
Instance details Defined in Data.Ord Methods (>>=) :: Down a -> (a -> Down b) -> Down b # (>>) :: Down a -> Down b -> Down b # return :: a -> Down a # fail :: String -> Down a #
Monad ReadP	Since: base-2.1
Instance details Defined in Text.ParserCombinators.ReadP Methods (>>=) :: ReadP a -> (a -> ReadP b) -> ReadP b # (>>) :: ReadP a -> ReadP b -> ReadP b # return :: a -> ReadP a # fail :: String -> ReadP a #
Monad NonEmpty	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (>>=) :: NonEmpty a -> (a -> NonEmpty b) -> NonEmpty b # (>>) :: NonEmpty a -> NonEmpty b -> NonEmpty b # return :: a -> NonEmpty a # fail :: String -> NonEmpty a #
Monad Put
Instance details Defined in Data.ByteString.Builder.Internal Methods (>>=) :: Put a -> (a -> Put b) -> Put b # (>>) :: Put a -> Put b -> Put b # return :: a -> Put a # fail :: String -> Put a #
Monad Tree
Instance details Defined in Data.Tree Methods (>>=) :: Tree a -> (a -> Tree b) -> Tree b # (>>) :: Tree a -> Tree b -> Tree b # return :: a -> Tree a # fail :: String -> Tree a #
Monad Seq
Instance details Defined in Data.Sequence.Internal Methods (>>=) :: Seq a -> (a -> Seq b) -> Seq b # (>>) :: Seq a -> Seq b -> Seq b # return :: a -> Seq a # fail :: String -> Seq a #
Monad DList
Instance details Defined in Data.DList Methods (>>=) :: DList a -> (a -> DList b) -> DList b # (>>) :: DList a -> DList b -> DList b # return :: a -> DList a # fail :: String -> DList a #
Monad Vector
Instance details Defined in Data.Vector Methods (>>=) :: Vector a -> (a -> Vector b) -> Vector b # (>>) :: Vector a -> Vector b -> Vector b # return :: a -> Vector a # fail :: String -> Vector a #
Monad SmallArray
Instance details Defined in Data.Primitive.SmallArray Methods (>>=) :: SmallArray a -> (a -> SmallArray b) -> SmallArray b # (>>) :: SmallArray a -> SmallArray b -> SmallArray b # return :: a -> SmallArray a # fail :: String -> SmallArray a #
Monad Array
Instance details Defined in Data.Primitive.Array Methods (>>=) :: Array a -> (a -> Array b) -> Array b # (>>) :: Array a -> Array b -> Array b # return :: a -> Array a # fail :: String -> Array a #
Monad P	Since: base-2.1
Instance details Defined in Text.ParserCombinators.ReadP Methods (>>=) :: P a -> (a -> P b) -> P b # (>>) :: P a -> P b -> P b # return :: a -> P a # fail :: String -> P a #
Monad (Either e)	Since: base-4.4.0.0
Instance details Defined in Data.Either Methods (>>=) :: Either e a -> (a -> Either e b) -> Either e b # (>>) :: Either e a -> Either e b -> Either e b # return :: a -> Either e a # fail :: String -> Either e a #
Monad (U1 :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (>>=) :: U1 a -> (a -> U1 b) -> U1 b # (>>) :: U1 a -> U1 b -> U1 b # return :: a -> U1 a # fail :: String -> U1 a #
Monoid a => Monad ((,) a)	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (>>=) :: (a, a0) -> (a0 -> (a, b)) -> (a, b) # (>>) :: (a, a0) -> (a, b) -> (a, b) # return :: a0 -> (a, a0) # fail :: String -> (a, a0) #
Representable f => Monad (Co f)
Instance details Defined in Data.Functor.Rep Methods (>>=) :: Co f a -> (a -> Co f b) -> Co f b # (>>) :: Co f a -> Co f b -> Co f b # return :: a -> Co f a # fail :: String -> Co f a #
Monad (ST s)	Since: base-2.1
Instance details Defined in GHC.ST Methods (>>=) :: ST s a -> (a -> ST s b) -> ST s b # (>>) :: ST s a -> ST s b -> ST s b # return :: a -> ST s a # fail :: String -> ST s a #
Monad (Parser i)
Instance details Defined in Data.Attoparsec.Internal.Types Methods (>>=) :: Parser i a -> (a -> Parser i b) -> Parser i b # (>>) :: Parser i a -> Parser i b -> Parser i b # return :: a -> Parser i a # fail :: String -> Parser i a #
Monad m => Monad (WrappedMonad m)	Since: base-4.7.0.0
Instance details Defined in Control.Applicative Methods (>>=) :: WrappedMonad m a -> (a -> WrappedMonad m b) -> WrappedMonad m b # (>>) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m b # return :: a -> WrappedMonad m a # fail :: String -> WrappedMonad m a #
Monad (Proxy :: Type -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods (>>=) :: Proxy a -> (a -> Proxy b) -> Proxy b # (>>) :: Proxy a -> Proxy b -> Proxy b # return :: a -> Proxy a # fail :: String -> Proxy a #
Alternative f => Monad (Cofree f)
Instance details Defined in Control.Comonad.Cofree Methods (>>=) :: Cofree f a -> (a -> Cofree f b) -> Cofree f b # (>>) :: Cofree f a -> Cofree f b -> Cofree f b # return :: a -> Cofree f a # fail :: String -> Cofree f a #
Functor f => Monad (Free f)
Instance details Defined in Control.Monad.Free Methods (>>=) :: Free f a -> (a -> Free f b) -> Free f b # (>>) :: Free f a -> Free f b -> Free f b # return :: a -> Free f a # fail :: String -> Free f a #
Monad m => Monad (Yoneda m)
Instance details Defined in Data.Functor.Yoneda Methods (>>=) :: Yoneda m a -> (a -> Yoneda m b) -> Yoneda m b # (>>) :: Yoneda m a -> Yoneda m b -> Yoneda m b # return :: a -> Yoneda m a # fail :: String -> Yoneda m a #
Monad (ReifiedGetter s)
Instance details Defined in Control.Lens.Reified Methods (>>=) :: ReifiedGetter s a -> (a -> ReifiedGetter s b) -> ReifiedGetter s b # (>>) :: ReifiedGetter s a -> ReifiedGetter s b -> ReifiedGetter s b # return :: a -> ReifiedGetter s a # fail :: String -> ReifiedGetter s a #
Monad (ReifiedFold s)
Instance details Defined in Control.Lens.Reified Methods (>>=) :: ReifiedFold s a -> (a -> ReifiedFold s b) -> ReifiedFold s b # (>>) :: ReifiedFold s a -> ReifiedFold s b -> ReifiedFold s b # return :: a -> ReifiedFold s a # fail :: String -> ReifiedFold s a #
(Monad (Rep p), Representable p) => Monad (Prep p)
Instance details Defined in Data.Profunctor.Rep Methods (>>=) :: Prep p a -> (a -> Prep p b) -> Prep p b # (>>) :: Prep p a -> Prep p b -> Prep p b # return :: a -> Prep p a # fail :: String -> Prep p a #
Monad f => Monad (Rec1 f)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (>>=) :: Rec1 f a -> (a -> Rec1 f b) -> Rec1 f b # (>>) :: Rec1 f a -> Rec1 f b -> Rec1 f b # return :: a -> Rec1 f a # fail :: String -> Rec1 f a #
Monad m => Monad (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods (>>=) :: RandT g m a -> (a -> RandT g m b) -> RandT g m b # (>>) :: RandT g m a -> RandT g m b -> RandT g m b # return :: a -> RandT g m a # fail :: String -> RandT g m a #
Monad f => Monad (Ap f)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid Methods (>>=) :: Ap f a -> (a -> Ap f b) -> Ap f b # (>>) :: Ap f a -> Ap f b -> Ap f b # return :: a -> Ap f a # fail :: String -> Ap f a #
Monad f => Monad (Alt f)	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods (>>=) :: Alt f a -> (a -> Alt f b) -> Alt f b # (>>) :: Alt f a -> Alt f b -> Alt f b # return :: a -> Alt f a # fail :: String -> Alt f a #
(Applicative f, Monad f) => Monad (WhenMissing f x)	Equivalent to `ReaderT k (ReaderT x (MaybeT f))`. Since: containers-0.5.9
Instance details Defined in Data.IntMap.Internal Methods (>>=) :: WhenMissing f x a -> (a -> WhenMissing f x b) -> WhenMissing f x b # (>>) :: WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x b # return :: a -> WhenMissing f x a # fail :: String -> WhenMissing f x a #
Monad m => Monad (ExceptT e m)
Instance details Defined in Control.Monad.Trans.Except Methods (>>=) :: ExceptT e m a -> (a -> ExceptT e m b) -> ExceptT e m b # (>>) :: ExceptT e m a -> ExceptT e m b -> ExceptT e m b # return :: a -> ExceptT e m a # fail :: String -> ExceptT e m a #
(Functor f, Monad m) => Monad (FreeT f m)
Instance details Defined in Control.Monad.Trans.Free Methods (>>=) :: FreeT f m a -> (a -> FreeT f m b) -> FreeT f m b # (>>) :: FreeT f m a -> FreeT f m b -> FreeT f m b # return :: a -> FreeT f m a # fail :: String -> FreeT f m a #
(Alternative f, Monad w) => Monad (CofreeT f w)
Instance details Defined in Control.Comonad.Trans.Cofree Methods (>>=) :: CofreeT f w a -> (a -> CofreeT f w b) -> CofreeT f w b # (>>) :: CofreeT f w a -> CofreeT f w b -> CofreeT f w b # return :: a -> CofreeT f w a # fail :: String -> CofreeT f w a #
(Monad m, Error e) => Monad (ErrorT e m)
Instance details Defined in Control.Monad.Trans.Error Methods (>>=) :: ErrorT e m a -> (a -> ErrorT e m b) -> ErrorT e m b # (>>) :: ErrorT e m a -> ErrorT e m b -> ErrorT e m b # return :: a -> ErrorT e m a # fail :: String -> ErrorT e m a #
Monad m => Monad (StateT s m)
Instance details Defined in Control.Monad.Trans.State.Strict Methods (>>=) :: StateT s m a -> (a -> StateT s m b) -> StateT s m b # (>>) :: StateT s m a -> StateT s m b -> StateT s m b # return :: a -> StateT s m a # fail :: String -> StateT s m a #
Monad (Indexed i a)
Instance details Defined in Control.Lens.Internal.Indexed Methods (>>=) :: Indexed i a a0 -> (a0 -> Indexed i a b) -> Indexed i a b # (>>) :: Indexed i a a0 -> Indexed i a b -> Indexed i a b # return :: a0 -> Indexed i a a0 # fail :: String -> Indexed i a a0 #
Monad m => Monad (StateT s m)
Instance details Defined in Control.Monad.Trans.State.Lazy Methods (>>=) :: StateT s m a -> (a -> StateT s m b) -> StateT s m b # (>>) :: StateT s m a -> StateT s m b -> StateT s m b # return :: a -> StateT s m a # fail :: String -> StateT s m a #
Monad (Tagged s)
Instance details Defined in Data.Tagged Methods (>>=) :: Tagged s a -> (a -> Tagged s b) -> Tagged s b # (>>) :: Tagged s a -> Tagged s b -> Tagged s b # return :: a -> Tagged s a # fail :: String -> Tagged s a #
Monad ((->) r :: Type -> Type)	Since: base-2.1
Instance details Defined in GHC.Base Methods (>>=) :: (r -> a) -> (a -> r -> b) -> r -> b # (>>) :: (r -> a) -> (r -> b) -> r -> b # return :: a -> r -> a # fail :: String -> r -> a #
(Monad f, Monad g) => Monad (f :*: g)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (>>=) :: (f :: g) a -> (a -> (f :: g) b) -> (f :: g) b # (>>) :: (f :: g) a -> (f :: g) b -> (f :: g) b # return :: a -> (f :: g) a # fail :: String -> (f :: g) a #
(Monad f, Applicative f) => Monad (WhenMatched f x y)	Equivalent to `ReaderT Key (ReaderT x (ReaderT y (MaybeT f)))` Since: containers-0.5.9
Instance details Defined in Data.IntMap.Internal Methods (>>=) :: WhenMatched f x y a -> (a -> WhenMatched f x y b) -> WhenMatched f x y b # (>>) :: WhenMatched f x y a -> WhenMatched f x y b -> WhenMatched f x y b # return :: a -> WhenMatched f x y a # fail :: String -> WhenMatched f x y a #
(Applicative f, Monad f) => Monad (WhenMissing f k x)	Equivalent to `ReaderT k (ReaderT x (MaybeT f))` . Since: containers-0.5.9
Instance details Defined in Data.Map.Internal Methods (>>=) :: WhenMissing f k x a -> (a -> WhenMissing f k x b) -> WhenMissing f k x b # (>>) :: WhenMissing f k x a -> WhenMissing f k x b -> WhenMissing f k x b # return :: a -> WhenMissing f k x a # fail :: String -> WhenMissing f k x a #
Monad m => Monad (ReaderT r m)
Instance details Defined in Control.Monad.Trans.Reader Methods (>>=) :: ReaderT r m a -> (a -> ReaderT r m b) -> ReaderT r m b # (>>) :: ReaderT r m a -> ReaderT r m b -> ReaderT r m b # return :: a -> ReaderT r m a # fail :: String -> ReaderT r m a #
Monad f => Monad (M1 i c f)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (>>=) :: M1 i c f a -> (a -> M1 i c f b) -> M1 i c f b # (>>) :: M1 i c f a -> M1 i c f b -> M1 i c f b # return :: a -> M1 i c f a # fail :: String -> M1 i c f a #
(Monad f, Applicative f) => Monad (WhenMatched f k x y)	Equivalent to `ReaderT k (ReaderT x (ReaderT y (MaybeT f)))` Since: containers-0.5.9
Instance details Defined in Data.Map.Internal Methods (>>=) :: WhenMatched f k x y a -> (a -> WhenMatched f k x y b) -> WhenMatched f k x y b # (>>) :: WhenMatched f k x y a -> WhenMatched f k x y b -> WhenMatched f k x y b # return :: a -> WhenMatched f k x y a # fail :: String -> WhenMatched f k x y a #

class Functor (f :: Type -> Type) where #

The Functor class is used for types that can be mapped over. Instances of Functor should satisfy the following laws:

fmap id  ==  id
fmap (f . g)  ==  fmap f . fmap g

The instances of Functor for lists, Maybe and IO satisfy these laws.

Minimal complete definition

fmap

Methods

fmap :: (a -> b) -> f a -> f b #

(<$) :: a -> f b -> f a infixl 4 #

Replace all locations in the input with the same value. The default definition is fmap . const, but this may be overridden with a more efficient version.

Instances

Functor []	Since: base-2.1
Instance details Defined in GHC.Base Methods fmap :: (a -> b) -> [a] -> [b] # (<$) :: a -> [b] -> [a] #
Functor Maybe	Since: base-2.1
Instance details Defined in GHC.Base Methods fmap :: (a -> b) -> Maybe a -> Maybe b # (<$) :: a -> Maybe b -> Maybe a #
Functor IO	Since: base-2.1
Instance details Defined in GHC.Base Methods fmap :: (a -> b) -> IO a -> IO b # (<$) :: a -> IO b -> IO a #
Functor Par1	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> Par1 a -> Par1 b # (<$) :: a -> Par1 b -> Par1 a #
Functor Q
Instance details Defined in Language.Haskell.TH.Syntax Methods fmap :: (a -> b) -> Q a -> Q b # (<$) :: a -> Q b -> Q a #
Functor FromJSONKeyFunction	Only law abiding up to interpretation
Instance details Defined in Data.Aeson.Types.FromJSON Methods fmap :: (a -> b) -> FromJSONKeyFunction a -> FromJSONKeyFunction b # (<$) :: a -> FromJSONKeyFunction b -> FromJSONKeyFunction a #
Functor IResult
Instance details Defined in Data.Aeson.Types.Internal Methods fmap :: (a -> b) -> IResult a -> IResult b # (<$) :: a -> IResult b -> IResult a #
Functor Result
Instance details Defined in Data.Aeson.Types.Internal Methods fmap :: (a -> b) -> Result a -> Result b # (<$) :: a -> Result b -> Result a #
Functor Parser
Instance details Defined in Data.Aeson.Types.Internal Methods fmap :: (a -> b) -> Parser a -> Parser b # (<$) :: a -> Parser b -> Parser a #
Functor Async
Instance details Defined in Control.Concurrent.Async Methods fmap :: (a -> b) -> Async a -> Async b # (<$) :: a -> Async b -> Async a #
Functor Concurrently
Instance details Defined in Control.Concurrent.Async Methods fmap :: (a -> b) -> Concurrently a -> Concurrently b # (<$) :: a -> Concurrently b -> Concurrently a #
Functor Complex	Since: base-4.9.0.0
Instance details Defined in Data.Complex Methods fmap :: (a -> b) -> Complex a -> Complex b # (<$) :: a -> Complex b -> Complex a #
Functor Min	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fmap :: (a -> b) -> Min a -> Min b # (<$) :: a -> Min b -> Min a #
Functor Max	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fmap :: (a -> b) -> Max a -> Max b # (<$) :: a -> Max b -> Max a #
Functor First	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fmap :: (a -> b) -> First a -> First b # (<$) :: a -> First b -> First a #
Functor Last	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fmap :: (a -> b) -> Last a -> Last b # (<$) :: a -> Last b -> Last a #
Functor Option	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fmap :: (a -> b) -> Option a -> Option b # (<$) :: a -> Option b -> Option a #
Functor ZipList	Since: base-2.1
Instance details Defined in Control.Applicative Methods fmap :: (a -> b) -> ZipList a -> ZipList b # (<$) :: a -> ZipList b -> ZipList a #
Functor Identity	Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity Methods fmap :: (a -> b) -> Identity a -> Identity b # (<$) :: a -> Identity b -> Identity a #
Functor Handler	Since: base-4.6.0.0
Instance details Defined in Control.Exception Methods fmap :: (a -> b) -> Handler a -> Handler b # (<$) :: a -> Handler b -> Handler a #
Functor STM	Since: base-4.3.0.0
Instance details Defined in GHC.Conc.Sync Methods fmap :: (a -> b) -> STM a -> STM b # (<$) :: a -> STM b -> STM a #
Functor First	Since: base-4.8.0.0
Instance details Defined in Data.Monoid Methods fmap :: (a -> b) -> First a -> First b # (<$) :: a -> First b -> First a #
Functor Last	Since: base-4.8.0.0
Instance details Defined in Data.Monoid Methods fmap :: (a -> b) -> Last a -> Last b # (<$) :: a -> Last b -> Last a #
Functor Dual	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods fmap :: (a -> b) -> Dual a -> Dual b # (<$) :: a -> Dual b -> Dual a #
Functor Sum	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods fmap :: (a -> b) -> Sum a -> Sum b # (<$) :: a -> Sum b -> Sum a #
Functor Product	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods fmap :: (a -> b) -> Product a -> Product b # (<$) :: a -> Product b -> Product a #
Functor Down	Since: base-4.11.0.0
Instance details Defined in Data.Ord Methods fmap :: (a -> b) -> Down a -> Down b # (<$) :: a -> Down b -> Down a #
Functor ReadP	Since: base-2.1
Instance details Defined in Text.ParserCombinators.ReadP Methods fmap :: (a -> b) -> ReadP a -> ReadP b # (<$) :: a -> ReadP b -> ReadP a #
Functor NonEmpty	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods fmap :: (a -> b) -> NonEmpty a -> NonEmpty b # (<$) :: a -> NonEmpty b -> NonEmpty a #
Functor Put
Instance details Defined in Data.ByteString.Builder.Internal Methods fmap :: (a -> b) -> Put a -> Put b # (<$) :: a -> Put b -> Put a #
Functor IntMap
Instance details Defined in Data.IntMap.Internal Methods fmap :: (a -> b) -> IntMap a -> IntMap b # (<$) :: a -> IntMap b -> IntMap a #
Functor Tree
Instance details Defined in Data.Tree Methods fmap :: (a -> b) -> Tree a -> Tree b # (<$) :: a -> Tree b -> Tree a #
Functor Seq
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> Seq a -> Seq b # (<$) :: a -> Seq b -> Seq a #
Functor FingerTree
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> FingerTree a -> FingerTree b # (<$) :: a -> FingerTree b -> FingerTree a #
Functor Digit
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> Digit a -> Digit b # (<$) :: a -> Digit b -> Digit a #
Functor Node
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> Node a -> Node b # (<$) :: a -> Node b -> Node a #
Functor Elem
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> Elem a -> Elem b # (<$) :: a -> Elem b -> Elem a #
Functor ViewL
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> ViewL a -> ViewL b # (<$) :: a -> ViewL b -> ViewL a #
Functor ViewR
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> ViewR a -> ViewR b # (<$) :: a -> ViewR b -> ViewR a #
Functor DList
Instance details Defined in Data.DList Methods fmap :: (a -> b) -> DList a -> DList b # (<$) :: a -> DList b -> DList a #
Functor Vector
Instance details Defined in Data.Vector Methods fmap :: (a -> b) -> Vector a -> Vector b # (<$) :: a -> Vector b -> Vector a #
Functor Doc
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods fmap :: (a -> b) -> Doc a -> Doc b # (<$) :: a -> Doc b -> Doc a #
Functor AnnotDetails
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods fmap :: (a -> b) -> AnnotDetails a -> AnnotDetails b # (<$) :: a -> AnnotDetails b -> AnnotDetails a #
Functor Span
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods fmap :: (a -> b) -> Span a -> Span b # (<$) :: a -> Span b -> Span a #
Functor SmallArray
Instance details Defined in Data.Primitive.SmallArray Methods fmap :: (a -> b) -> SmallArray a -> SmallArray b # (<$) :: a -> SmallArray b -> SmallArray a #
Functor Array
Instance details Defined in Data.Primitive.Array Methods fmap :: (a -> b) -> Array a -> Array b # (<$) :: a -> Array b -> Array a #
Functor P	Since: base-4.8.0.0
Instance details Defined in Text.ParserCombinators.ReadP Methods fmap :: (a -> b) -> P a -> P b # (<$) :: a -> P b -> P a #
Functor (Either a)	Since: base-3.0
Instance details Defined in Data.Either Methods fmap :: (a0 -> b) -> Either a a0 -> Either a b # (<$) :: a0 -> Either a b -> Either a a0 #
Functor (V1 :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> V1 a -> V1 b # (<$) :: a -> V1 b -> V1 a #
Functor (U1 :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> U1 a -> U1 b # (<$) :: a -> U1 b -> U1 a #
Functor ((,) a)	Since: base-2.1
Instance details Defined in GHC.Base Methods fmap :: (a0 -> b) -> (a, a0) -> (a, b) # (<$) :: a0 -> (a, b) -> (a, a0) #
Functor f => Functor (Co f)
Instance details Defined in Data.Functor.Rep Methods fmap :: (a -> b) -> Co f a -> Co f b # (<$) :: a -> Co f b -> Co f a #
Functor (HashMap k)
Instance details Defined in Data.HashMap.Base Methods fmap :: (a -> b) -> HashMap k a -> HashMap k b # (<$) :: a -> HashMap k b -> HashMap k a #
Functor (Map k)
Instance details Defined in Data.Map.Internal Methods fmap :: (a -> b) -> Map k a -> Map k b # (<$) :: a -> Map k b -> Map k a #
Functor (ST s)	Since: base-2.1
Instance details Defined in GHC.ST Methods fmap :: (a -> b) -> ST s a -> ST s b # (<$) :: a -> ST s b -> ST s a #
Functor (Array i)	Since: base-2.1
Instance details Defined in GHC.Arr Methods fmap :: (a -> b) -> Array i a -> Array i b # (<$) :: a -> Array i b -> Array i a #
Functor (IResult i)
Instance details Defined in Data.Attoparsec.Internal.Types Methods fmap :: (a -> b) -> IResult i a -> IResult i b # (<$) :: a -> IResult i b -> IResult i a #
Functor (Parser i)
Instance details Defined in Data.Attoparsec.Internal.Types Methods fmap :: (a -> b) -> Parser i a -> Parser i b # (<$) :: a -> Parser i b -> Parser i a #
Functor (Arg a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fmap :: (a0 -> b) -> Arg a a0 -> Arg a b # (<$) :: a0 -> Arg a b -> Arg a a0 #
Monad m => Functor (WrappedMonad m)	Since: base-2.1
Instance details Defined in Control.Applicative Methods fmap :: (a -> b) -> WrappedMonad m a -> WrappedMonad m b # (<$) :: a -> WrappedMonad m b -> WrappedMonad m a #
Functor (Proxy :: Type -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods fmap :: (a -> b) -> Proxy a -> Proxy b # (<$) :: a -> Proxy b -> Proxy a #
Monad m => Functor (Handler m)
Instance details Defined in Control.Monad.Catch Methods fmap :: (a -> b) -> Handler m a -> Handler m b # (<$) :: a -> Handler m b -> Handler m a #
Functor f => Functor (Cofree f)
Instance details Defined in Control.Comonad.Cofree Methods fmap :: (a -> b) -> Cofree f a -> Cofree f b # (<$) :: a -> Cofree f b -> Cofree f a #
Functor f => Functor (Free f)
Instance details Defined in Control.Monad.Free Methods fmap :: (a -> b) -> Free f a -> Free f b # (<$) :: a -> Free f b -> Free f a #
Functor (Yoneda f)
Instance details Defined in Data.Functor.Yoneda Methods fmap :: (a -> b) -> Yoneda f a -> Yoneda f b # (<$) :: a -> Yoneda f b -> Yoneda f a #
Functor (ReifiedGetter s)
Instance details Defined in Control.Lens.Reified Methods fmap :: (a -> b) -> ReifiedGetter s a -> ReifiedGetter s b # (<$) :: a -> ReifiedGetter s b -> ReifiedGetter s a #
Functor (ReifiedFold s)
Instance details Defined in Control.Lens.Reified Methods fmap :: (a -> b) -> ReifiedFold s a -> ReifiedFold s b # (<$) :: a -> ReifiedFold s b -> ReifiedFold s a #
Functor f => Functor (Indexing f)
Instance details Defined in Control.Lens.Internal.Indexed Methods fmap :: (a -> b) -> Indexing f a -> Indexing f b # (<$) :: a -> Indexing f b -> Indexing f a #
Functor f => Functor (Indexing64 f)
Instance details Defined in Control.Lens.Internal.Indexed Methods fmap :: (a -> b) -> Indexing64 f a -> Indexing64 f b # (<$) :: a -> Indexing64 f b -> Indexing64 f a #
Profunctor p => Functor (Prep p)
Instance details Defined in Data.Profunctor.Rep Methods fmap :: (a -> b) -> Prep p a -> Prep p b # (<$) :: a -> Prep p b -> Prep p a #
Profunctor p => Functor (Coprep p)
Instance details Defined in Data.Profunctor.Rep Methods fmap :: (a -> b) -> Coprep p a -> Coprep p b # (<$) :: a -> Coprep p b -> Coprep p a #
Functor f => Functor (Rec1 f)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> Rec1 f a -> Rec1 f b # (<$) :: a -> Rec1 f b -> Rec1 f a #
Functor (URec Char :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec Char a -> URec Char b # (<$) :: a -> URec Char b -> URec Char a #
Functor (URec Double :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec Double a -> URec Double b # (<$) :: a -> URec Double b -> URec Double a #
Functor (URec Float :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec Float a -> URec Float b # (<$) :: a -> URec Float b -> URec Float a #
Functor (URec Int :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec Int a -> URec Int b # (<$) :: a -> URec Int b -> URec Int a #
Functor (URec Word :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec Word a -> URec Word b # (<$) :: a -> URec Word b -> URec Word a #
Functor (URec (Ptr ()) :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec (Ptr ()) a -> URec (Ptr ()) b # (<$) :: a -> URec (Ptr ()) b -> URec (Ptr ()) a #
Functor m => Functor (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods fmap :: (a -> b) -> RandT g m a -> RandT g m b # (<$) :: a -> RandT g m b -> RandT g m a #
Arrow a => Functor (WrappedArrow a b)	Since: base-2.1
Instance details Defined in Control.Applicative Methods fmap :: (a0 -> b0) -> WrappedArrow a b a0 -> WrappedArrow a b b0 # (<$) :: a0 -> WrappedArrow a b b0 -> WrappedArrow a b a0 #
Functor (Const m :: Type -> Type)	Since: base-2.1
Instance details Defined in Data.Functor.Const Methods fmap :: (a -> b) -> Const m a -> Const m b # (<$) :: a -> Const m b -> Const m a #
Functor f => Functor (Ap f)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid Methods fmap :: (a -> b) -> Ap f a -> Ap f b # (<$) :: a -> Ap f b -> Ap f a #
Functor f => Functor (Alt f)	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods fmap :: (a -> b) -> Alt f a -> Alt f b # (<$) :: a -> Alt f b -> Alt f a #
Bifunctor p => Functor (Join p)
Instance details Defined in Data.Bifunctor.Join Methods fmap :: (a -> b) -> Join p a -> Join p b # (<$) :: a -> Join p b -> Join p a #
Bifunctor p => Functor (Fix p)
Instance details Defined in Data.Bifunctor.Fix Methods fmap :: (a -> b) -> Fix p a -> Fix p b # (<$) :: a -> Fix p b -> Fix p a #
(Applicative f, Monad f) => Functor (WhenMissing f x)	Since: containers-0.5.9
Instance details Defined in Data.IntMap.Internal Methods fmap :: (a -> b) -> WhenMissing f x a -> WhenMissing f x b # (<$) :: a -> WhenMissing f x b -> WhenMissing f x a #
Functor m => Functor (ExceptT e m)
Instance details Defined in Control.Monad.Trans.Except Methods fmap :: (a -> b) -> ExceptT e m a -> ExceptT e m b # (<$) :: a -> ExceptT e m b -> ExceptT e m a #
Functor f => Functor (FreeF f a)
Instance details Defined in Control.Monad.Trans.Free Methods fmap :: (a0 -> b) -> FreeF f a a0 -> FreeF f a b # (<$) :: a0 -> FreeF f a b -> FreeF f a a0 #
(Functor f, Monad m) => Functor (FreeT f m)
Instance details Defined in Control.Monad.Trans.Free Methods fmap :: (a -> b) -> FreeT f m a -> FreeT f m b # (<$) :: a -> FreeT f m b -> FreeT f m a #
Functor f => Functor (CofreeF f a)
Instance details Defined in Control.Comonad.Trans.Cofree Methods fmap :: (a0 -> b) -> CofreeF f a a0 -> CofreeF f a b # (<$) :: a0 -> CofreeF f a b -> CofreeF f a a0 #
(Functor f, Functor w) => Functor (CofreeT f w)
Instance details Defined in Control.Comonad.Trans.Cofree Methods fmap :: (a -> b) -> CofreeT f w a -> CofreeT f w b # (<$) :: a -> CofreeT f w b -> CofreeT f w a #
Functor (Day f g)
Instance details Defined in Data.Functor.Day Methods fmap :: (a -> b) -> Day f g a -> Day f g b # (<$) :: a -> Day f g b -> Day f g a #
Functor m => Functor (ErrorT e m)
Instance details Defined in Control.Monad.Trans.Error Methods fmap :: (a -> b) -> ErrorT e m a -> ErrorT e m b # (<$) :: a -> ErrorT e m b -> ErrorT e m a #
Functor m => Functor (StateT s m)
Instance details Defined in Control.Monad.Trans.State.Strict Methods fmap :: (a -> b) -> StateT s m a -> StateT s m b # (<$) :: a -> StateT s m b -> StateT s m a #
Functor (ReifiedIndexedGetter i s)
Instance details Defined in Control.Lens.Reified Methods fmap :: (a -> b) -> ReifiedIndexedGetter i s a -> ReifiedIndexedGetter i s b # (<$) :: a -> ReifiedIndexedGetter i s b -> ReifiedIndexedGetter i s a #
Functor (ReifiedIndexedFold i s)
Instance details Defined in Control.Lens.Reified Methods fmap :: (a -> b) -> ReifiedIndexedFold i s a -> ReifiedIndexedFold i s b # (<$) :: a -> ReifiedIndexedFold i s b -> ReifiedIndexedFold i s a #
Functor (Indexed i a)
Instance details Defined in Control.Lens.Internal.Indexed Methods fmap :: (a0 -> b) -> Indexed i a a0 -> Indexed i a b # (<$) :: a0 -> Indexed i a b -> Indexed i a a0 #
Functor m => Functor (StateT s m)
Instance details Defined in Control.Monad.Trans.State.Lazy Methods fmap :: (a -> b) -> StateT s m a -> StateT s m b # (<$) :: a -> StateT s m b -> StateT s m a #
Profunctor p => Functor (Tambara p a)
Instance details Defined in Data.Profunctor.Strong Methods fmap :: (a0 -> b) -> Tambara p a a0 -> Tambara p a b # (<$) :: a0 -> Tambara p a b -> Tambara p a a0 #
Functor (Cotambara p a)
Instance details Defined in Data.Profunctor.Strong Methods fmap :: (a0 -> b) -> Cotambara p a a0 -> Cotambara p a b # (<$) :: a0 -> Cotambara p a b -> Cotambara p a a0 #
Functor (Tagged s)
Instance details Defined in Data.Tagged Methods fmap :: (a -> b) -> Tagged s a -> Tagged s b # (<$) :: a -> Tagged s b -> Tagged s a #
Functor (Peat a b)
Instance details Defined in Data.Witherable Methods fmap :: (a0 -> b0) -> Peat a b a0 -> Peat a b b0 # (<$) :: a0 -> Peat a b b0 -> Peat a b a0 #
Functor ((->) r :: Type -> Type)	Since: base-2.1
Instance details Defined in GHC.Base Methods fmap :: (a -> b) -> (r -> a) -> r -> b # (<$) :: a -> (r -> b) -> r -> a #
Functor (K1 i c :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> K1 i c a -> K1 i c b # (<$) :: a -> K1 i c b -> K1 i c a #
(Functor f, Functor g) => Functor (f :+: g)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> (f :+: g) a -> (f :+: g) b # (<$) :: a -> (f :+: g) b -> (f :+: g) a #
(Functor f, Functor g) => Functor (f :*: g)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> (f :: g) a -> (f :: g) b # (<$) :: a -> (f :: g) b -> (f :: g) a #
Functor f => Functor (WhenMatched f x y)	Since: containers-0.5.9
Instance details Defined in Data.IntMap.Internal Methods fmap :: (a -> b) -> WhenMatched f x y a -> WhenMatched f x y b # (<$) :: a -> WhenMatched f x y b -> WhenMatched f x y a #
(Applicative f, Monad f) => Functor (WhenMissing f k x)	Since: containers-0.5.9
Instance details Defined in Data.Map.Internal Methods fmap :: (a -> b) -> WhenMissing f k x a -> WhenMissing f k x b # (<$) :: a -> WhenMissing f k x b -> WhenMissing f k x a #
Functor m => Functor (ReaderT r m)
Instance details Defined in Control.Monad.Trans.Reader Methods fmap :: (a -> b) -> ReaderT r m a -> ReaderT r m b # (<$) :: a -> ReaderT r m b -> ReaderT r m a #
Profunctor p => Functor (Procompose p q a)
Instance details Defined in Data.Profunctor.Composition Methods fmap :: (a0 -> b) -> Procompose p q a a0 -> Procompose p q a b # (<$) :: a0 -> Procompose p q a b -> Procompose p q a a0 #
Profunctor p => Functor (Rift p q a)
Instance details Defined in Data.Profunctor.Composition Methods fmap :: (a0 -> b) -> Rift p q a a0 -> Rift p q a b # (<$) :: a0 -> Rift p q a b -> Rift p q a a0 #
Functor f => Functor (M1 i c f)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> M1 i c f a -> M1 i c f b # (<$) :: a -> M1 i c f b -> M1 i c f a #
(Functor f, Functor g) => Functor (f :.: g)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> (f :.: g) a -> (f :.: g) b # (<$) :: a -> (f :.: g) b -> (f :.: g) a #
Bifunctor p => Functor (WrappedBifunctor p a)
Instance details Defined in Data.Bifunctor.Wrapped Methods fmap :: (a0 -> b) -> WrappedBifunctor p a a0 -> WrappedBifunctor p a b # (<$) :: a0 -> WrappedBifunctor p a b -> WrappedBifunctor p a a0 #
Functor g => Functor (Joker g a)
Instance details Defined in Data.Bifunctor.Joker Methods fmap :: (a0 -> b) -> Joker g a a0 -> Joker g a b # (<$) :: a0 -> Joker g a b -> Joker g a a0 #
Bifunctor p => Functor (Flip p a)
Instance details Defined in Data.Bifunctor.Flip Methods fmap :: (a0 -> b) -> Flip p a a0 -> Flip p a b # (<$) :: a0 -> Flip p a b -> Flip p a a0 #
Functor (Clown f a :: Type -> Type)
Instance details Defined in Data.Bifunctor.Clown Methods fmap :: (a0 -> b) -> Clown f a a0 -> Clown f a b # (<$) :: a0 -> Clown f a b -> Clown f a a0 #
Functor f => Functor (WhenMatched f k x y)	Since: containers-0.5.9
Instance details Defined in Data.Map.Internal Methods fmap :: (a -> b) -> WhenMatched f k x y a -> WhenMatched f k x y b # (<$) :: a -> WhenMatched f k x y b -> WhenMatched f k x y a #
Reifies s (ReifiedApplicative f) => Functor (ReflectedApplicative f s)
Instance details Defined in Data.Reflection Methods fmap :: (a -> b) -> ReflectedApplicative f s a -> ReflectedApplicative f s b # (<$) :: a -> ReflectedApplicative f s b -> ReflectedApplicative f s a #
(Functor f, Bifunctor p) => Functor (Tannen f p a)
Instance details Defined in Data.Bifunctor.Tannen Methods fmap :: (a0 -> b) -> Tannen f p a a0 -> Tannen f p a b # (<$) :: a0 -> Tannen f p a b -> Tannen f p a a0 #
(Bifunctor p, Functor g) => Functor (Biff p f g a)
Instance details Defined in Data.Bifunctor.Biff Methods fmap :: (a0 -> b) -> Biff p f g a a0 -> Biff p f g a b # (<$) :: a0 -> Biff p f g a b -> Biff p f g a a0 #

class Num a where #

Basic numeric class.

The Haskell Report defines no laws for Num. However, '(+)' and '(*)' are customarily expected to define a ring and have the following properties:

Associativity of (+): (x + y) + z = x + (y + z)
Commutativity of (+): x + y = y + x
fromInteger 0 is the additive identity: x + fromInteger 0 = x
negate gives the additive inverse: x + negate x = fromInteger 0
Associativity of (*): (x * y) * z = x * (y * z)
fromInteger 1 is the multiplicative identity: x * fromInteger 1 = x and fromInteger 1 * x = x
Distributivity of (*) with respect to (+): a * (b + c) = (a * b) + (a * c) and (b + c) * a = (b * a) + (c * a)

Note that it isn't customarily expected that a type instance of both Num and Ord implement an ordered ring. Indeed, in base only Integer and Rational do.

Minimal complete definition

(+), (*), abs, signum, fromInteger, (negate | (-))

Methods

(+) :: a -> a -> a infixl 6 #

(-) :: a -> a -> a infixl 6 #

(*) :: a -> a -> a infixl 7 #

negate :: a -> a #

Unary negation.

abs :: a -> a #

Absolute value.

signum :: a -> a #

Sign of a number. The functions abs and signum should satisfy the law:

abs x * signum x == x

For real numbers, the signum is either -1 (negative), 0 (zero) or 1 (positive).

fromInteger :: Integer -> a #

Conversion from an Integer. An integer literal represents the application of the function fromInteger to the appropriate value of type Integer, so such literals have type (Num a) => a.

Instances

Num Int	Since: base-2.1
Instance details Defined in GHC.Num Methods (+) :: Int -> Int -> Int # (-) :: Int -> Int -> Int # (*) :: Int -> Int -> Int # negate :: Int -> Int # abs :: Int -> Int # signum :: Int -> Int # fromInteger :: Integer -> Int #
Num Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods (+) :: Int8 -> Int8 -> Int8 # (-) :: Int8 -> Int8 -> Int8 # (*) :: Int8 -> Int8 -> Int8 # negate :: Int8 -> Int8 # abs :: Int8 -> Int8 # signum :: Int8 -> Int8 # fromInteger :: Integer -> Int8 #
Num Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods (+) :: Int16 -> Int16 -> Int16 # (-) :: Int16 -> Int16 -> Int16 # (*) :: Int16 -> Int16 -> Int16 # negate :: Int16 -> Int16 # abs :: Int16 -> Int16 # signum :: Int16 -> Int16 # fromInteger :: Integer -> Int16 #
Num Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods (+) :: Int32 -> Int32 -> Int32 # (-) :: Int32 -> Int32 -> Int32 # (*) :: Int32 -> Int32 -> Int32 # negate :: Int32 -> Int32 # abs :: Int32 -> Int32 # signum :: Int32 -> Int32 # fromInteger :: Integer -> Int32 #
Num Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods (+) :: Int64 -> Int64 -> Int64 # (-) :: Int64 -> Int64 -> Int64 # (*) :: Int64 -> Int64 -> Int64 # negate :: Int64 -> Int64 # abs :: Int64 -> Int64 # signum :: Int64 -> Int64 # fromInteger :: Integer -> Int64 #
Num Integer	Since: base-2.1
Instance details Defined in GHC.Num Methods (+) :: Integer -> Integer -> Integer # (-) :: Integer -> Integer -> Integer # (*) :: Integer -> Integer -> Integer # negate :: Integer -> Integer # abs :: Integer -> Integer # signum :: Integer -> Integer # fromInteger :: Integer -> Integer #
Num Natural	Note that `Natural`'s `Num` instance isn't a ring: no element but 0 has an additive inverse. It is a semiring though. Since: base-4.8.0.0
Instance details Defined in GHC.Num Methods (+) :: Natural -> Natural -> Natural # (-) :: Natural -> Natural -> Natural # (*) :: Natural -> Natural -> Natural # negate :: Natural -> Natural # abs :: Natural -> Natural # signum :: Natural -> Natural # fromInteger :: Integer -> Natural #
Num Word	Since: base-2.1
Instance details Defined in GHC.Num Methods (+) :: Word -> Word -> Word # (-) :: Word -> Word -> Word # (*) :: Word -> Word -> Word # negate :: Word -> Word # abs :: Word -> Word # signum :: Word -> Word # fromInteger :: Integer -> Word #
Num Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods (+) :: Word8 -> Word8 -> Word8 # (-) :: Word8 -> Word8 -> Word8 # (*) :: Word8 -> Word8 -> Word8 # negate :: Word8 -> Word8 # abs :: Word8 -> Word8 # signum :: Word8 -> Word8 # fromInteger :: Integer -> Word8 #
Num Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods (+) :: Word16 -> Word16 -> Word16 # (-) :: Word16 -> Word16 -> Word16 # (*) :: Word16 -> Word16 -> Word16 # negate :: Word16 -> Word16 # abs :: Word16 -> Word16 # signum :: Word16 -> Word16 # fromInteger :: Integer -> Word16 #
Num Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods (+) :: Word32 -> Word32 -> Word32 # (-) :: Word32 -> Word32 -> Word32 # (*) :: Word32 -> Word32 -> Word32 # negate :: Word32 -> Word32 # abs :: Word32 -> Word32 # signum :: Word32 -> Word32 # fromInteger :: Integer -> Word32 #
Num Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods (+) :: Word64 -> Word64 -> Word64 # (-) :: Word64 -> Word64 -> Word64 # (*) :: Word64 -> Word64 -> Word64 # negate :: Word64 -> Word64 # abs :: Word64 -> Word64 # signum :: Word64 -> Word64 # fromInteger :: Integer -> Word64 #
Num Scientific	WARNING: `+` and `-` compute the `Integer` magnitude: `10^e` where `e` is the difference between the `base10Exponents` of the arguments. If these methods are applied to arguments which have huge exponents this could fill up all space and crash your program! So don't apply these methods to scientific numbers coming from untrusted sources. The other methods can be used safely.
Instance details Defined in Data.Scientific Methods (+) :: Scientific -> Scientific -> Scientific # (-) :: Scientific -> Scientific -> Scientific # (*) :: Scientific -> Scientific -> Scientific # negate :: Scientific -> Scientific # abs :: Scientific -> Scientific # signum :: Scientific -> Scientific # fromInteger :: Integer -> Scientific #
Num Pos
Instance details Defined in Data.Attoparsec.Internal.Types Methods (+) :: Pos -> Pos -> Pos # (-) :: Pos -> Pos -> Pos # (*) :: Pos -> Pos -> Pos # negate :: Pos -> Pos # abs :: Pos -> Pos # signum :: Pos -> Pos # fromInteger :: Integer -> Pos #
Num CDev
Instance details Defined in System.Posix.Types Methods (+) :: CDev -> CDev -> CDev # (-) :: CDev -> CDev -> CDev # (*) :: CDev -> CDev -> CDev # negate :: CDev -> CDev # abs :: CDev -> CDev # signum :: CDev -> CDev # fromInteger :: Integer -> CDev #
Num CIno
Instance details Defined in System.Posix.Types Methods (+) :: CIno -> CIno -> CIno # (-) :: CIno -> CIno -> CIno # (*) :: CIno -> CIno -> CIno # negate :: CIno -> CIno # abs :: CIno -> CIno # signum :: CIno -> CIno # fromInteger :: Integer -> CIno #
Num CMode
Instance details Defined in System.Posix.Types Methods (+) :: CMode -> CMode -> CMode # (-) :: CMode -> CMode -> CMode # (*) :: CMode -> CMode -> CMode # negate :: CMode -> CMode # abs :: CMode -> CMode # signum :: CMode -> CMode # fromInteger :: Integer -> CMode #
Num COff
Instance details Defined in System.Posix.Types Methods (+) :: COff -> COff -> COff # (-) :: COff -> COff -> COff # (*) :: COff -> COff -> COff # negate :: COff -> COff # abs :: COff -> COff # signum :: COff -> COff # fromInteger :: Integer -> COff #
Num CPid
Instance details Defined in System.Posix.Types Methods (+) :: CPid -> CPid -> CPid # (-) :: CPid -> CPid -> CPid # (*) :: CPid -> CPid -> CPid # negate :: CPid -> CPid # abs :: CPid -> CPid # signum :: CPid -> CPid # fromInteger :: Integer -> CPid #
Num CSsize
Instance details Defined in System.Posix.Types Methods (+) :: CSsize -> CSsize -> CSsize # (-) :: CSsize -> CSsize -> CSsize # (*) :: CSsize -> CSsize -> CSsize # negate :: CSsize -> CSsize # abs :: CSsize -> CSsize # signum :: CSsize -> CSsize # fromInteger :: Integer -> CSsize #
Num CGid
Instance details Defined in System.Posix.Types Methods (+) :: CGid -> CGid -> CGid # (-) :: CGid -> CGid -> CGid # (*) :: CGid -> CGid -> CGid # negate :: CGid -> CGid # abs :: CGid -> CGid # signum :: CGid -> CGid # fromInteger :: Integer -> CGid #
Num CNlink
Instance details Defined in System.Posix.Types Methods (+) :: CNlink -> CNlink -> CNlink # (-) :: CNlink -> CNlink -> CNlink # (*) :: CNlink -> CNlink -> CNlink # negate :: CNlink -> CNlink # abs :: CNlink -> CNlink # signum :: CNlink -> CNlink # fromInteger :: Integer -> CNlink #
Num CUid
Instance details Defined in System.Posix.Types Methods (+) :: CUid -> CUid -> CUid # (-) :: CUid -> CUid -> CUid # (*) :: CUid -> CUid -> CUid # negate :: CUid -> CUid # abs :: CUid -> CUid # signum :: CUid -> CUid # fromInteger :: Integer -> CUid #
Num CCc
Instance details Defined in System.Posix.Types Methods (+) :: CCc -> CCc -> CCc # (-) :: CCc -> CCc -> CCc # (*) :: CCc -> CCc -> CCc # negate :: CCc -> CCc # abs :: CCc -> CCc # signum :: CCc -> CCc # fromInteger :: Integer -> CCc #
Num CSpeed
Instance details Defined in System.Posix.Types Methods (+) :: CSpeed -> CSpeed -> CSpeed # (-) :: CSpeed -> CSpeed -> CSpeed # (*) :: CSpeed -> CSpeed -> CSpeed # negate :: CSpeed -> CSpeed # abs :: CSpeed -> CSpeed # signum :: CSpeed -> CSpeed # fromInteger :: Integer -> CSpeed #
Num CTcflag
Instance details Defined in System.Posix.Types Methods (+) :: CTcflag -> CTcflag -> CTcflag # (-) :: CTcflag -> CTcflag -> CTcflag # (*) :: CTcflag -> CTcflag -> CTcflag # negate :: CTcflag -> CTcflag # abs :: CTcflag -> CTcflag # signum :: CTcflag -> CTcflag # fromInteger :: Integer -> CTcflag #
Num CRLim
Instance details Defined in System.Posix.Types Methods (+) :: CRLim -> CRLim -> CRLim # (-) :: CRLim -> CRLim -> CRLim # (*) :: CRLim -> CRLim -> CRLim # negate :: CRLim -> CRLim # abs :: CRLim -> CRLim # signum :: CRLim -> CRLim # fromInteger :: Integer -> CRLim #
Num CBlkSize
Instance details Defined in System.Posix.Types Methods (+) :: CBlkSize -> CBlkSize -> CBlkSize # (-) :: CBlkSize -> CBlkSize -> CBlkSize # (*) :: CBlkSize -> CBlkSize -> CBlkSize # negate :: CBlkSize -> CBlkSize # abs :: CBlkSize -> CBlkSize # signum :: CBlkSize -> CBlkSize # fromInteger :: Integer -> CBlkSize #
Num CBlkCnt
Instance details Defined in System.Posix.Types Methods (+) :: CBlkCnt -> CBlkCnt -> CBlkCnt # (-) :: CBlkCnt -> CBlkCnt -> CBlkCnt # (*) :: CBlkCnt -> CBlkCnt -> CBlkCnt # negate :: CBlkCnt -> CBlkCnt # abs :: CBlkCnt -> CBlkCnt # signum :: CBlkCnt -> CBlkCnt # fromInteger :: Integer -> CBlkCnt #
Num CClockId
Instance details Defined in System.Posix.Types Methods (+) :: CClockId -> CClockId -> CClockId # (-) :: CClockId -> CClockId -> CClockId # (*) :: CClockId -> CClockId -> CClockId # negate :: CClockId -> CClockId # abs :: CClockId -> CClockId # signum :: CClockId -> CClockId # fromInteger :: Integer -> CClockId #
Num CFsBlkCnt
Instance details Defined in System.Posix.Types Methods (+) :: CFsBlkCnt -> CFsBlkCnt -> CFsBlkCnt # (-) :: CFsBlkCnt -> CFsBlkCnt -> CFsBlkCnt # (*) :: CFsBlkCnt -> CFsBlkCnt -> CFsBlkCnt # negate :: CFsBlkCnt -> CFsBlkCnt # abs :: CFsBlkCnt -> CFsBlkCnt # signum :: CFsBlkCnt -> CFsBlkCnt # fromInteger :: Integer -> CFsBlkCnt #
Num CFsFilCnt
Instance details Defined in System.Posix.Types Methods (+) :: CFsFilCnt -> CFsFilCnt -> CFsFilCnt # (-) :: CFsFilCnt -> CFsFilCnt -> CFsFilCnt # (*) :: CFsFilCnt -> CFsFilCnt -> CFsFilCnt # negate :: CFsFilCnt -> CFsFilCnt # abs :: CFsFilCnt -> CFsFilCnt # signum :: CFsFilCnt -> CFsFilCnt # fromInteger :: Integer -> CFsFilCnt #
Num CId
Instance details Defined in System.Posix.Types Methods (+) :: CId -> CId -> CId # (-) :: CId -> CId -> CId # (*) :: CId -> CId -> CId # negate :: CId -> CId # abs :: CId -> CId # signum :: CId -> CId # fromInteger :: Integer -> CId #
Num CKey
Instance details Defined in System.Posix.Types Methods (+) :: CKey -> CKey -> CKey # (-) :: CKey -> CKey -> CKey # (*) :: CKey -> CKey -> CKey # negate :: CKey -> CKey # abs :: CKey -> CKey # signum :: CKey -> CKey # fromInteger :: Integer -> CKey #
Num Fd
Instance details Defined in System.Posix.Types Methods (+) :: Fd -> Fd -> Fd # (-) :: Fd -> Fd -> Fd # (*) :: Fd -> Fd -> Fd # negate :: Fd -> Fd # abs :: Fd -> Fd # signum :: Fd -> Fd # fromInteger :: Integer -> Fd #
Num CChar
Instance details Defined in Foreign.C.Types Methods (+) :: CChar -> CChar -> CChar # (-) :: CChar -> CChar -> CChar # (*) :: CChar -> CChar -> CChar # negate :: CChar -> CChar # abs :: CChar -> CChar # signum :: CChar -> CChar # fromInteger :: Integer -> CChar #
Num CSChar
Instance details Defined in Foreign.C.Types Methods (+) :: CSChar -> CSChar -> CSChar # (-) :: CSChar -> CSChar -> CSChar # (*) :: CSChar -> CSChar -> CSChar # negate :: CSChar -> CSChar # abs :: CSChar -> CSChar # signum :: CSChar -> CSChar # fromInteger :: Integer -> CSChar #
Num CUChar
Instance details Defined in Foreign.C.Types Methods (+) :: CUChar -> CUChar -> CUChar # (-) :: CUChar -> CUChar -> CUChar # (*) :: CUChar -> CUChar -> CUChar # negate :: CUChar -> CUChar # abs :: CUChar -> CUChar # signum :: CUChar -> CUChar # fromInteger :: Integer -> CUChar #
Num CShort
Instance details Defined in Foreign.C.Types Methods (+) :: CShort -> CShort -> CShort # (-) :: CShort -> CShort -> CShort # (*) :: CShort -> CShort -> CShort # negate :: CShort -> CShort # abs :: CShort -> CShort # signum :: CShort -> CShort # fromInteger :: Integer -> CShort #
Num CUShort
Instance details Defined in Foreign.C.Types Methods (+) :: CUShort -> CUShort -> CUShort # (-) :: CUShort -> CUShort -> CUShort # (*) :: CUShort -> CUShort -> CUShort # negate :: CUShort -> CUShort # abs :: CUShort -> CUShort # signum :: CUShort -> CUShort # fromInteger :: Integer -> CUShort #
Num CInt
Instance details Defined in Foreign.C.Types Methods (+) :: CInt -> CInt -> CInt # (-) :: CInt -> CInt -> CInt # (*) :: CInt -> CInt -> CInt # negate :: CInt -> CInt # abs :: CInt -> CInt # signum :: CInt -> CInt # fromInteger :: Integer -> CInt #
Num CUInt
Instance details Defined in Foreign.C.Types Methods (+) :: CUInt -> CUInt -> CUInt # (-) :: CUInt -> CUInt -> CUInt # (*) :: CUInt -> CUInt -> CUInt # negate :: CUInt -> CUInt # abs :: CUInt -> CUInt # signum :: CUInt -> CUInt # fromInteger :: Integer -> CUInt #
Num CLong
Instance details Defined in Foreign.C.Types Methods (+) :: CLong -> CLong -> CLong # (-) :: CLong -> CLong -> CLong # (*) :: CLong -> CLong -> CLong # negate :: CLong -> CLong # abs :: CLong -> CLong # signum :: CLong -> CLong # fromInteger :: Integer -> CLong #
Num CULong
Instance details Defined in Foreign.C.Types Methods (+) :: CULong -> CULong -> CULong # (-) :: CULong -> CULong -> CULong # (*) :: CULong -> CULong -> CULong # negate :: CULong -> CULong # abs :: CULong -> CULong # signum :: CULong -> CULong # fromInteger :: Integer -> CULong #
Num CLLong
Instance details Defined in Foreign.C.Types Methods (+) :: CLLong -> CLLong -> CLLong # (-) :: CLLong -> CLLong -> CLLong # (*) :: CLLong -> CLLong -> CLLong # negate :: CLLong -> CLLong # abs :: CLLong -> CLLong # signum :: CLLong -> CLLong # fromInteger :: Integer -> CLLong #
Num CULLong
Instance details Defined in Foreign.C.Types Methods (+) :: CULLong -> CULLong -> CULLong # (-) :: CULLong -> CULLong -> CULLong # (*) :: CULLong -> CULLong -> CULLong # negate :: CULLong -> CULLong # abs :: CULLong -> CULLong # signum :: CULLong -> CULLong # fromInteger :: Integer -> CULLong #
Num CBool
Instance details Defined in Foreign.C.Types Methods (+) :: CBool -> CBool -> CBool # (-) :: CBool -> CBool -> CBool # (*) :: CBool -> CBool -> CBool # negate :: CBool -> CBool # abs :: CBool -> CBool # signum :: CBool -> CBool # fromInteger :: Integer -> CBool #
Num CFloat
Instance details Defined in Foreign.C.Types Methods (+) :: CFloat -> CFloat -> CFloat # (-) :: CFloat -> CFloat -> CFloat # (*) :: CFloat -> CFloat -> CFloat # negate :: CFloat -> CFloat # abs :: CFloat -> CFloat # signum :: CFloat -> CFloat # fromInteger :: Integer -> CFloat #
Num CDouble
Instance details Defined in Foreign.C.Types Methods (+) :: CDouble -> CDouble -> CDouble # (-) :: CDouble -> CDouble -> CDouble # (*) :: CDouble -> CDouble -> CDouble # negate :: CDouble -> CDouble # abs :: CDouble -> CDouble # signum :: CDouble -> CDouble # fromInteger :: Integer -> CDouble #
Num CPtrdiff
Instance details Defined in Foreign.C.Types Methods (+) :: CPtrdiff -> CPtrdiff -> CPtrdiff # (-) :: CPtrdiff -> CPtrdiff -> CPtrdiff # (*) :: CPtrdiff -> CPtrdiff -> CPtrdiff # negate :: CPtrdiff -> CPtrdiff # abs :: CPtrdiff -> CPtrdiff # signum :: CPtrdiff -> CPtrdiff # fromInteger :: Integer -> CPtrdiff #
Num CSize
Instance details Defined in Foreign.C.Types Methods (+) :: CSize -> CSize -> CSize # (-) :: CSize -> CSize -> CSize # (*) :: CSize -> CSize -> CSize # negate :: CSize -> CSize # abs :: CSize -> CSize # signum :: CSize -> CSize # fromInteger :: Integer -> CSize #
Num CWchar
Instance details Defined in Foreign.C.Types Methods (+) :: CWchar -> CWchar -> CWchar # (-) :: CWchar -> CWchar -> CWchar # (*) :: CWchar -> CWchar -> CWchar # negate :: CWchar -> CWchar # abs :: CWchar -> CWchar # signum :: CWchar -> CWchar # fromInteger :: Integer -> CWchar #
Num CSigAtomic
Instance details Defined in Foreign.C.Types Methods (+) :: CSigAtomic -> CSigAtomic -> CSigAtomic # (-) :: CSigAtomic -> CSigAtomic -> CSigAtomic # (*) :: CSigAtomic -> CSigAtomic -> CSigAtomic # negate :: CSigAtomic -> CSigAtomic # abs :: CSigAtomic -> CSigAtomic # signum :: CSigAtomic -> CSigAtomic # fromInteger :: Integer -> CSigAtomic #
Num CClock
Instance details Defined in Foreign.C.Types Methods (+) :: CClock -> CClock -> CClock # (-) :: CClock -> CClock -> CClock # (*) :: CClock -> CClock -> CClock # negate :: CClock -> CClock # abs :: CClock -> CClock # signum :: CClock -> CClock # fromInteger :: Integer -> CClock #
Num CTime
Instance details Defined in Foreign.C.Types Methods (+) :: CTime -> CTime -> CTime # (-) :: CTime -> CTime -> CTime # (*) :: CTime -> CTime -> CTime # negate :: CTime -> CTime # abs :: CTime -> CTime # signum :: CTime -> CTime # fromInteger :: Integer -> CTime #
Num CUSeconds
Instance details Defined in Foreign.C.Types Methods (+) :: CUSeconds -> CUSeconds -> CUSeconds # (-) :: CUSeconds -> CUSeconds -> CUSeconds # (*) :: CUSeconds -> CUSeconds -> CUSeconds # negate :: CUSeconds -> CUSeconds # abs :: CUSeconds -> CUSeconds # signum :: CUSeconds -> CUSeconds # fromInteger :: Integer -> CUSeconds #
Num CSUSeconds
Instance details Defined in Foreign.C.Types Methods (+) :: CSUSeconds -> CSUSeconds -> CSUSeconds # (-) :: CSUSeconds -> CSUSeconds -> CSUSeconds # (*) :: CSUSeconds -> CSUSeconds -> CSUSeconds # negate :: CSUSeconds -> CSUSeconds # abs :: CSUSeconds -> CSUSeconds # signum :: CSUSeconds -> CSUSeconds # fromInteger :: Integer -> CSUSeconds #
Num CIntPtr
Instance details Defined in Foreign.C.Types Methods (+) :: CIntPtr -> CIntPtr -> CIntPtr # (-) :: CIntPtr -> CIntPtr -> CIntPtr # (*) :: CIntPtr -> CIntPtr -> CIntPtr # negate :: CIntPtr -> CIntPtr # abs :: CIntPtr -> CIntPtr # signum :: CIntPtr -> CIntPtr # fromInteger :: Integer -> CIntPtr #
Num CUIntPtr
Instance details Defined in Foreign.C.Types Methods (+) :: CUIntPtr -> CUIntPtr -> CUIntPtr # (-) :: CUIntPtr -> CUIntPtr -> CUIntPtr # (*) :: CUIntPtr -> CUIntPtr -> CUIntPtr # negate :: CUIntPtr -> CUIntPtr # abs :: CUIntPtr -> CUIntPtr # signum :: CUIntPtr -> CUIntPtr # fromInteger :: Integer -> CUIntPtr #
Num CIntMax
Instance details Defined in Foreign.C.Types Methods (+) :: CIntMax -> CIntMax -> CIntMax # (-) :: CIntMax -> CIntMax -> CIntMax # (*) :: CIntMax -> CIntMax -> CIntMax # negate :: CIntMax -> CIntMax # abs :: CIntMax -> CIntMax # signum :: CIntMax -> CIntMax # fromInteger :: Integer -> CIntMax #
Num CUIntMax
Instance details Defined in Foreign.C.Types Methods (+) :: CUIntMax -> CUIntMax -> CUIntMax # (-) :: CUIntMax -> CUIntMax -> CUIntMax # (*) :: CUIntMax -> CUIntMax -> CUIntMax # negate :: CUIntMax -> CUIntMax # abs :: CUIntMax -> CUIntMax # signum :: CUIntMax -> CUIntMax # fromInteger :: Integer -> CUIntMax #
Num WordPtr
Instance details Defined in Foreign.Ptr Methods (+) :: WordPtr -> WordPtr -> WordPtr # (-) :: WordPtr -> WordPtr -> WordPtr # (*) :: WordPtr -> WordPtr -> WordPtr # negate :: WordPtr -> WordPtr # abs :: WordPtr -> WordPtr # signum :: WordPtr -> WordPtr # fromInteger :: Integer -> WordPtr #
Num IntPtr
Instance details Defined in Foreign.Ptr Methods (+) :: IntPtr -> IntPtr -> IntPtr # (-) :: IntPtr -> IntPtr -> IntPtr # (*) :: IntPtr -> IntPtr -> IntPtr # negate :: IntPtr -> IntPtr # abs :: IntPtr -> IntPtr # signum :: IntPtr -> IntPtr # fromInteger :: Integer -> IntPtr #
Num CodePoint
Instance details Defined in Data.Text.Encoding Methods (+) :: CodePoint -> CodePoint -> CodePoint # (-) :: CodePoint -> CodePoint -> CodePoint # (*) :: CodePoint -> CodePoint -> CodePoint # negate :: CodePoint -> CodePoint # abs :: CodePoint -> CodePoint # signum :: CodePoint -> CodePoint # fromInteger :: Integer -> CodePoint #
Num DecoderState
Instance details Defined in Data.Text.Encoding Methods (+) :: DecoderState -> DecoderState -> DecoderState # (-) :: DecoderState -> DecoderState -> DecoderState # (*) :: DecoderState -> DecoderState -> DecoderState # negate :: DecoderState -> DecoderState # abs :: DecoderState -> DecoderState # signum :: DecoderState -> DecoderState # fromInteger :: Integer -> DecoderState #
Integral a => Num (Ratio a)	Since: base-2.0.1
Instance details Defined in GHC.Real Methods (+) :: Ratio a -> Ratio a -> Ratio a # (-) :: Ratio a -> Ratio a -> Ratio a # (*) :: Ratio a -> Ratio a -> Ratio a # negate :: Ratio a -> Ratio a # abs :: Ratio a -> Ratio a # signum :: Ratio a -> Ratio a # fromInteger :: Integer -> Ratio a #
RealFloat a => Num (Complex a)	Since: base-2.1
Instance details Defined in Data.Complex Methods (+) :: Complex a -> Complex a -> Complex a # (-) :: Complex a -> Complex a -> Complex a # (*) :: Complex a -> Complex a -> Complex a # negate :: Complex a -> Complex a # abs :: Complex a -> Complex a # signum :: Complex a -> Complex a # fromInteger :: Integer -> Complex a #
Num a => Num (Min a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (+) :: Min a -> Min a -> Min a # (-) :: Min a -> Min a -> Min a # (*) :: Min a -> Min a -> Min a # negate :: Min a -> Min a # abs :: Min a -> Min a # signum :: Min a -> Min a # fromInteger :: Integer -> Min a #
Num a => Num (Max a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (+) :: Max a -> Max a -> Max a # (-) :: Max a -> Max a -> Max a # (*) :: Max a -> Max a -> Max a # negate :: Max a -> Max a # abs :: Max a -> Max a # signum :: Max a -> Max a # fromInteger :: Integer -> Max a #
Num a => Num (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods (+) :: Identity a -> Identity a -> Identity a # (-) :: Identity a -> Identity a -> Identity a # (*) :: Identity a -> Identity a -> Identity a # negate :: Identity a -> Identity a # abs :: Identity a -> Identity a # signum :: Identity a -> Identity a # fromInteger :: Integer -> Identity a #
Num a => Num (Sum a)	Since: base-4.7.0.0
Instance details Defined in Data.Semigroup.Internal Methods (+) :: Sum a -> Sum a -> Sum a # (-) :: Sum a -> Sum a -> Sum a # (*) :: Sum a -> Sum a -> Sum a # negate :: Sum a -> Sum a # abs :: Sum a -> Sum a # signum :: Sum a -> Sum a # fromInteger :: Integer -> Sum a #
Num a => Num (Product a)	Since: base-4.7.0.0
Instance details Defined in Data.Semigroup.Internal Methods (+) :: Product a -> Product a -> Product a # (-) :: Product a -> Product a -> Product a # (*) :: Product a -> Product a -> Product a # negate :: Product a -> Product a # abs :: Product a -> Product a # signum :: Product a -> Product a # fromInteger :: Integer -> Product a #
Num a => Num (Down a)	Since: base-4.11.0.0
Instance details Defined in Data.Ord Methods (+) :: Down a -> Down a -> Down a # (-) :: Down a -> Down a -> Down a # (*) :: Down a -> Down a -> Down a # negate :: Down a -> Down a # abs :: Down a -> Down a # signum :: Down a -> Down a # fromInteger :: Integer -> Down a #
Num a => Num (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods (+) :: Const a b -> Const a b -> Const a b # (-) :: Const a b -> Const a b -> Const a b # (*) :: Const a b -> Const a b -> Const a b # negate :: Const a b -> Const a b # abs :: Const a b -> Const a b # signum :: Const a b -> Const a b # fromInteger :: Integer -> Const a b #
(Applicative f, Num a) => Num (Ap f a)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid Methods (+) :: Ap f a -> Ap f a -> Ap f a # (-) :: Ap f a -> Ap f a -> Ap f a # (*) :: Ap f a -> Ap f a -> Ap f a # negate :: Ap f a -> Ap f a # abs :: Ap f a -> Ap f a # signum :: Ap f a -> Ap f a # fromInteger :: Integer -> Ap f a #
Num (f a) => Num (Alt f a)	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods (+) :: Alt f a -> Alt f a -> Alt f a # (-) :: Alt f a -> Alt f a -> Alt f a # (*) :: Alt f a -> Alt f a -> Alt f a # negate :: Alt f a -> Alt f a # abs :: Alt f a -> Alt f a # signum :: Alt f a -> Alt f a # fromInteger :: Integer -> Alt f a #
Num a => Num (Tagged s a)
Instance details Defined in Data.Tagged Methods (+) :: Tagged s a -> Tagged s a -> Tagged s a # (-) :: Tagged s a -> Tagged s a -> Tagged s a # (*) :: Tagged s a -> Tagged s a -> Tagged s a # negate :: Tagged s a -> Tagged s a # abs :: Tagged s a -> Tagged s a # signum :: Tagged s a -> Tagged s a # fromInteger :: Integer -> Tagged s a #

class Eq a => Ord a where #

The Ord class is used for totally ordered datatypes.

Instances of Ord can be derived for any user-defined datatype whose constituent types are in Ord. The declared order of the constructors in the data declaration determines the ordering in derived Ord instances. The Ordering datatype allows a single comparison to determine the precise ordering of two objects.

The Haskell Report defines no laws for Ord. However, <= is customarily expected to implement a non-strict partial order and have the following properties:

Transitivity: if x <= y && y <= z = True, then x <= z = True
Reflexivity: x <= x = True
Antisymmetry: if x <= y && y <= x = True, then x == y = True

Note that the following operator interactions are expected to hold:

x >= y = y <= x
x < y = x <= y && x /= y
x > y = y < x
x < y = compare x y == LT
x > y = compare x y == GT
x == y = compare x y == EQ
min x y == if x <= y then x else y = True
max x y == if x >= y then x else y = True

Minimal complete definition: either compare or <=. Using compare can be more efficient for complex types.

Minimal complete definition

compare | (<=)

Methods

compare :: a -> a -> Ordering #

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

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

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

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

max :: a -> a -> a #

min :: a -> a -> a #

Instances

Ord Bool
Instance details Defined in GHC.Classes Methods compare :: Bool -> Bool -> Ordering # (<) :: Bool -> Bool -> Bool # (<=) :: Bool -> Bool -> Bool # (>) :: Bool -> Bool -> Bool # (>=) :: Bool -> Bool -> Bool # max :: Bool -> Bool -> Bool # min :: Bool -> Bool -> Bool #
Ord Char
Instance details Defined in GHC.Classes Methods compare :: Char -> Char -> Ordering # (<) :: Char -> Char -> Bool # (<=) :: Char -> Char -> Bool # (>) :: Char -> Char -> Bool # (>=) :: Char -> Char -> Bool # max :: Char -> Char -> Char # min :: Char -> Char -> Char #
Ord Double	Note that due to the presence of `NaN`, `Double`'s `Ord` instance does not satisfy reflexivity. `>>>` `0/0 <= (0/0 :: Double)`False Also note that, due to the same, `Ord`'s operator interactions are not respected by `Double`'s instance: `>>>` `(0/0 :: Double) > 1`False `>>>` `compare (0/0 :: Double) 1`GT
Instance details Defined in GHC.Classes Methods compare :: Double -> Double -> Ordering # (<) :: Double -> Double -> Bool # (<=) :: Double -> Double -> Bool # (>) :: Double -> Double -> Bool # (>=) :: Double -> Double -> Bool # max :: Double -> Double -> Double # min :: Double -> Double -> Double #
Ord Float	Note that due to the presence of `NaN`, `Float`'s `Ord` instance does not satisfy reflexivity. `>>>` `0/0 <= (0/0 :: Float)`False Also note that, due to the same, `Ord`'s operator interactions are not respected by `Float`'s instance: `>>>` `(0/0 :: Float) > 1`False `>>>` `compare (0/0 :: Float) 1`GT
Instance details Defined in GHC.Classes Methods compare :: Float -> Float -> Ordering # (<) :: Float -> Float -> Bool # (<=) :: Float -> Float -> Bool # (>) :: Float -> Float -> Bool # (>=) :: Float -> Float -> Bool # max :: Float -> Float -> Float # min :: Float -> Float -> Float #
Ord Int
Instance details Defined in GHC.Classes Methods compare :: Int -> Int -> Ordering # (<) :: Int -> Int -> Bool # (<=) :: Int -> Int -> Bool # (>) :: Int -> Int -> Bool # (>=) :: Int -> Int -> Bool # max :: Int -> Int -> Int # min :: Int -> Int -> Int #
Ord Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods compare :: Int8 -> Int8 -> Ordering # (<) :: Int8 -> Int8 -> Bool # (<=) :: Int8 -> Int8 -> Bool # (>) :: Int8 -> Int8 -> Bool # (>=) :: Int8 -> Int8 -> Bool # max :: Int8 -> Int8 -> Int8 # min :: Int8 -> Int8 -> Int8 #
Ord Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods compare :: Int16 -> Int16 -> Ordering # (<) :: Int16 -> Int16 -> Bool # (<=) :: Int16 -> Int16 -> Bool # (>) :: Int16 -> Int16 -> Bool # (>=) :: Int16 -> Int16 -> Bool # max :: Int16 -> Int16 -> Int16 # min :: Int16 -> Int16 -> Int16 #
Ord Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods compare :: Int32 -> Int32 -> Ordering # (<) :: Int32 -> Int32 -> Bool # (<=) :: Int32 -> Int32 -> Bool # (>) :: Int32 -> Int32 -> Bool # (>=) :: Int32 -> Int32 -> Bool # max :: Int32 -> Int32 -> Int32 # min :: Int32 -> Int32 -> Int32 #
Ord Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods compare :: Int64 -> Int64 -> Ordering # (<) :: Int64 -> Int64 -> Bool # (<=) :: Int64 -> Int64 -> Bool # (>) :: Int64 -> Int64 -> Bool # (>=) :: Int64 -> Int64 -> Bool # max :: Int64 -> Int64 -> Int64 # min :: Int64 -> Int64 -> Int64 #
Ord Integer
Instance details Defined in GHC.Integer.Type Methods compare :: Integer -> Integer -> Ordering # (<) :: Integer -> Integer -> Bool # (<=) :: Integer -> Integer -> Bool # (>) :: Integer -> Integer -> Bool # (>=) :: Integer -> Integer -> Bool # max :: Integer -> Integer -> Integer # min :: Integer -> Integer -> Integer #
Ord Natural	Since: base-4.8.0.0
Instance details Defined in GHC.Natural Methods compare :: Natural -> Natural -> Ordering # (<) :: Natural -> Natural -> Bool # (<=) :: Natural -> Natural -> Bool # (>) :: Natural -> Natural -> Bool # (>=) :: Natural -> Natural -> Bool # max :: Natural -> Natural -> Natural # min :: Natural -> Natural -> Natural #
Ord Ordering
Instance details Defined in GHC.Classes Methods compare :: Ordering -> Ordering -> Ordering # (<) :: Ordering -> Ordering -> Bool # (<=) :: Ordering -> Ordering -> Bool # (>) :: Ordering -> Ordering -> Bool # (>=) :: Ordering -> Ordering -> Bool # max :: Ordering -> Ordering -> Ordering # min :: Ordering -> Ordering -> Ordering #
Ord Word
Instance details Defined in GHC.Classes Methods compare :: Word -> Word -> Ordering # (<) :: Word -> Word -> Bool # (<=) :: Word -> Word -> Bool # (>) :: Word -> Word -> Bool # (>=) :: Word -> Word -> Bool # max :: Word -> Word -> Word # min :: Word -> Word -> Word #
Ord Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods compare :: Word8 -> Word8 -> Ordering # (<) :: Word8 -> Word8 -> Bool # (<=) :: Word8 -> Word8 -> Bool # (>) :: Word8 -> Word8 -> Bool # (>=) :: Word8 -> Word8 -> Bool # max :: Word8 -> Word8 -> Word8 # min :: Word8 -> Word8 -> Word8 #
Ord Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods compare :: Word16 -> Word16 -> Ordering # (<) :: Word16 -> Word16 -> Bool # (<=) :: Word16 -> Word16 -> Bool # (>) :: Word16 -> Word16 -> Bool # (>=) :: Word16 -> Word16 -> Bool # max :: Word16 -> Word16 -> Word16 # min :: Word16 -> Word16 -> Word16 #
Ord Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods compare :: Word32 -> Word32 -> Ordering # (<) :: Word32 -> Word32 -> Bool # (<=) :: Word32 -> Word32 -> Bool # (>) :: Word32 -> Word32 -> Bool # (>=) :: Word32 -> Word32 -> Bool # max :: Word32 -> Word32 -> Word32 # min :: Word32 -> Word32 -> Word32 #
Ord Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods compare :: Word64 -> Word64 -> Ordering # (<) :: Word64 -> Word64 -> Bool # (<=) :: Word64 -> Word64 -> Bool # (>) :: Word64 -> Word64 -> Bool # (>=) :: Word64 -> Word64 -> Bool # max :: Word64 -> Word64 -> Word64 # min :: Word64 -> Word64 -> Word64 #
Ord SomeTypeRep
Instance details Defined in Data.Typeable.Internal Methods compare :: SomeTypeRep -> SomeTypeRep -> Ordering # (<) :: SomeTypeRep -> SomeTypeRep -> Bool # (<=) :: SomeTypeRep -> SomeTypeRep -> Bool # (>) :: SomeTypeRep -> SomeTypeRep -> Bool # (>=) :: SomeTypeRep -> SomeTypeRep -> Bool # max :: SomeTypeRep -> SomeTypeRep -> SomeTypeRep # min :: SomeTypeRep -> SomeTypeRep -> SomeTypeRep #
Ord Exp
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: Exp -> Exp -> Ordering # (<) :: Exp -> Exp -> Bool # (<=) :: Exp -> Exp -> Bool # (>) :: Exp -> Exp -> Bool # (>=) :: Exp -> Exp -> Bool # max :: Exp -> Exp -> Exp # min :: Exp -> Exp -> Exp #
Ord Match
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: Match -> Match -> Ordering # (<) :: Match -> Match -> Bool # (<=) :: Match -> Match -> Bool # (>) :: Match -> Match -> Bool # (>=) :: Match -> Match -> Bool # max :: Match -> Match -> Match # min :: Match -> Match -> Match #
Ord Clause
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: Clause -> Clause -> Ordering # (<) :: Clause -> Clause -> Bool # (<=) :: Clause -> Clause -> Bool # (>) :: Clause -> Clause -> Bool # (>=) :: Clause -> Clause -> Bool # max :: Clause -> Clause -> Clause # min :: Clause -> Clause -> Clause #
Ord Pat
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: Pat -> Pat -> Ordering # (<) :: Pat -> Pat -> Bool # (<=) :: Pat -> Pat -> Bool # (>) :: Pat -> Pat -> Bool # (>=) :: Pat -> Pat -> Bool # max :: Pat -> Pat -> Pat # min :: Pat -> Pat -> Pat #
Ord Type
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: Type -> Type -> Ordering # (<) :: Type -> Type -> Bool # (<=) :: Type -> Type -> Bool # (>) :: Type -> Type -> Bool # (>=) :: Type -> Type -> Bool # max :: Type -> Type -> Type # min :: Type -> Type -> Type #
Ord Dec
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: Dec -> Dec -> Ordering # (<) :: Dec -> Dec -> Bool # (<=) :: Dec -> Dec -> Bool # (>) :: Dec -> Dec -> Bool # (>=) :: Dec -> Dec -> Bool # max :: Dec -> Dec -> Dec # min :: Dec -> Dec -> Dec #
Ord Name
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: Name -> Name -> Ordering # (<) :: Name -> Name -> Bool # (<=) :: Name -> Name -> Bool # (>) :: Name -> Name -> Bool # (>=) :: Name -> Name -> Bool # max :: Name -> Name -> Name # min :: Name -> Name -> Name #
Ord FunDep
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: FunDep -> FunDep -> Ordering # (<) :: FunDep -> FunDep -> Bool # (<=) :: FunDep -> FunDep -> Bool # (>) :: FunDep -> FunDep -> Bool # (>=) :: FunDep -> FunDep -> Bool # max :: FunDep -> FunDep -> FunDep # min :: FunDep -> FunDep -> FunDep #
Ord InjectivityAnn
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: InjectivityAnn -> InjectivityAnn -> Ordering # (<) :: InjectivityAnn -> InjectivityAnn -> Bool # (<=) :: InjectivityAnn -> InjectivityAnn -> Bool # (>) :: InjectivityAnn -> InjectivityAnn -> Bool # (>=) :: InjectivityAnn -> InjectivityAnn -> Bool # max :: InjectivityAnn -> InjectivityAnn -> InjectivityAnn # min :: InjectivityAnn -> InjectivityAnn -> InjectivityAnn #
Ord Overlap
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: Overlap -> Overlap -> Ordering # (<) :: Overlap -> Overlap -> Bool # (<=) :: Overlap -> Overlap -> Bool # (>) :: Overlap -> Overlap -> Bool # (>=) :: Overlap -> Overlap -> Bool # max :: Overlap -> Overlap -> Overlap # min :: Overlap -> Overlap -> Overlap #
Ord ()
Instance details Defined in GHC.Classes Methods compare :: () -> () -> Ordering # (<) :: () -> () -> Bool # (<=) :: () -> () -> Bool # (>) :: () -> () -> Bool # (>=) :: () -> () -> Bool # max :: () -> () -> () # min :: () -> () -> () #
Ord TyCon
Instance details Defined in GHC.Classes Methods compare :: TyCon -> TyCon -> Ordering # (<) :: TyCon -> TyCon -> Bool # (<=) :: TyCon -> TyCon -> Bool # (>) :: TyCon -> TyCon -> Bool # (>=) :: TyCon -> TyCon -> Bool # max :: TyCon -> TyCon -> TyCon # min :: TyCon -> TyCon -> TyCon #
Ord Con
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: Con -> Con -> Ordering # (<) :: Con -> Con -> Bool # (<=) :: Con -> Con -> Bool # (>) :: Con -> Con -> Bool # (>=) :: Con -> Con -> Bool # max :: Con -> Con -> Con # min :: Con -> Con -> Con #
Ord Arity
Instance details Defined in Data.Aeson.TH Methods compare :: Arity -> Arity -> Ordering # (<) :: Arity -> Arity -> Bool # (<=) :: Arity -> Arity -> Bool # (>) :: Arity -> Arity -> Bool # (>=) :: Arity -> Arity -> Bool # max :: Arity -> Arity -> Arity # min :: Arity -> Arity -> Arity #
Ord ByteString
Instance details Defined in Data.ByteString.Internal Methods compare :: ByteString -> ByteString -> Ordering # (<) :: ByteString -> ByteString -> Bool # (<=) :: ByteString -> ByteString -> Bool # (>) :: ByteString -> ByteString -> Bool # (>=) :: ByteString -> ByteString -> Bool # max :: ByteString -> ByteString -> ByteString # min :: ByteString -> ByteString -> ByteString #
Ord ByteString
Instance details Defined in Data.ByteString.Lazy.Internal Methods compare :: ByteString -> ByteString -> Ordering # (<) :: ByteString -> ByteString -> Bool # (<=) :: ByteString -> ByteString -> Bool # (>) :: ByteString -> ByteString -> Bool # (>=) :: ByteString -> ByteString -> Bool # max :: ByteString -> ByteString -> ByteString # min :: ByteString -> ByteString -> ByteString #
Ord Scientific	Scientific numbers can be safely compared for ordering. No magnitude `10^e` is calculated so there's no risk of a blowup in space or time when comparing scientific numbers coming from untrusted sources.
Instance details Defined in Data.Scientific Methods compare :: Scientific -> Scientific -> Ordering # (<) :: Scientific -> Scientific -> Bool # (<=) :: Scientific -> Scientific -> Bool # (>) :: Scientific -> Scientific -> Bool # (>=) :: Scientific -> Scientific -> Bool # max :: Scientific -> Scientific -> Scientific # min :: Scientific -> Scientific -> Scientific #
Ord UTCTime
Instance details Defined in Data.Time.Clock.Internal.UTCTime Methods compare :: UTCTime -> UTCTime -> Ordering # (<) :: UTCTime -> UTCTime -> Bool # (<=) :: UTCTime -> UTCTime -> Bool # (>) :: UTCTime -> UTCTime -> Bool # (>=) :: UTCTime -> UTCTime -> Bool # max :: UTCTime -> UTCTime -> UTCTime # min :: UTCTime -> UTCTime -> UTCTime #
Ord JSONPathElement
Instance details Defined in Data.Aeson.Types.Internal Methods compare :: JSONPathElement -> JSONPathElement -> Ordering # (<) :: JSONPathElement -> JSONPathElement -> Bool # (<=) :: JSONPathElement -> JSONPathElement -> Bool # (>) :: JSONPathElement -> JSONPathElement -> Bool # (>=) :: JSONPathElement -> JSONPathElement -> Bool # max :: JSONPathElement -> JSONPathElement -> JSONPathElement # min :: JSONPathElement -> JSONPathElement -> JSONPathElement #
Ord DotNetTime
Instance details Defined in Data.Aeson.Types.Internal Methods compare :: DotNetTime -> DotNetTime -> Ordering # (<) :: DotNetTime -> DotNetTime -> Bool # (<=) :: DotNetTime -> DotNetTime -> Bool # (>) :: DotNetTime -> DotNetTime -> Bool # (>=) :: DotNetTime -> DotNetTime -> Bool # max :: DotNetTime -> DotNetTime -> DotNetTime # min :: DotNetTime -> DotNetTime -> DotNetTime #
Ord ThreadId	Since: base-4.2.0.0
Instance details Defined in GHC.Conc.Sync Methods compare :: ThreadId -> ThreadId -> Ordering # (<) :: ThreadId -> ThreadId -> Bool # (<=) :: ThreadId -> ThreadId -> Bool # (>) :: ThreadId -> ThreadId -> Bool # (>=) :: ThreadId -> ThreadId -> Bool # max :: ThreadId -> ThreadId -> ThreadId # min :: ThreadId -> ThreadId -> ThreadId #
Ord Pos
Instance details Defined in Data.Attoparsec.Internal.Types Methods compare :: Pos -> Pos -> Ordering # (<) :: Pos -> Pos -> Bool # (<=) :: Pos -> Pos -> Bool # (>) :: Pos -> Pos -> Bool # (>=) :: Pos -> Pos -> Bool # max :: Pos -> Pos -> Pos # min :: Pos -> Pos -> Pos #
Ord BigNat
Instance details Defined in GHC.Integer.Type Methods compare :: BigNat -> BigNat -> Ordering # (<) :: BigNat -> BigNat -> Bool # (<=) :: BigNat -> BigNat -> Bool # (>) :: BigNat -> BigNat -> Bool # (>=) :: BigNat -> BigNat -> Bool # max :: BigNat -> BigNat -> BigNat # min :: BigNat -> BigNat -> BigNat #
Ord Void	Since: base-4.8.0.0
Instance details Defined in Data.Void Methods compare :: Void -> Void -> Ordering # (<) :: Void -> Void -> Bool # (<=) :: Void -> Void -> Bool # (>) :: Void -> Void -> Bool # (>=) :: Void -> Void -> Bool # max :: Void -> Void -> Void # min :: Void -> Void -> Void #
Ord BlockReason	Since: base-4.3.0.0
Instance details Defined in GHC.Conc.Sync Methods compare :: BlockReason -> BlockReason -> Ordering # (<) :: BlockReason -> BlockReason -> Bool # (<=) :: BlockReason -> BlockReason -> Bool # (>) :: BlockReason -> BlockReason -> Bool # (>=) :: BlockReason -> BlockReason -> Bool # max :: BlockReason -> BlockReason -> BlockReason # min :: BlockReason -> BlockReason -> BlockReason #
Ord ThreadStatus	Since: base-4.3.0.0
Instance details Defined in GHC.Conc.Sync Methods compare :: ThreadStatus -> ThreadStatus -> Ordering # (<) :: ThreadStatus -> ThreadStatus -> Bool # (<=) :: ThreadStatus -> ThreadStatus -> Bool # (>) :: ThreadStatus -> ThreadStatus -> Bool # (>=) :: ThreadStatus -> ThreadStatus -> Bool # max :: ThreadStatus -> ThreadStatus -> ThreadStatus # min :: ThreadStatus -> ThreadStatus -> ThreadStatus #
Ord CDev
Instance details Defined in System.Posix.Types Methods compare :: CDev -> CDev -> Ordering # (<) :: CDev -> CDev -> Bool # (<=) :: CDev -> CDev -> Bool # (>) :: CDev -> CDev -> Bool # (>=) :: CDev -> CDev -> Bool # max :: CDev -> CDev -> CDev # min :: CDev -> CDev -> CDev #
Ord CIno
Instance details Defined in System.Posix.Types Methods compare :: CIno -> CIno -> Ordering # (<) :: CIno -> CIno -> Bool # (<=) :: CIno -> CIno -> Bool # (>) :: CIno -> CIno -> Bool # (>=) :: CIno -> CIno -> Bool # max :: CIno -> CIno -> CIno # min :: CIno -> CIno -> CIno #
Ord CMode
Instance details Defined in System.Posix.Types Methods compare :: CMode -> CMode -> Ordering # (<) :: CMode -> CMode -> Bool # (<=) :: CMode -> CMode -> Bool # (>) :: CMode -> CMode -> Bool # (>=) :: CMode -> CMode -> Bool # max :: CMode -> CMode -> CMode # min :: CMode -> CMode -> CMode #
Ord COff
Instance details Defined in System.Posix.Types Methods compare :: COff -> COff -> Ordering # (<) :: COff -> COff -> Bool # (<=) :: COff -> COff -> Bool # (>) :: COff -> COff -> Bool # (>=) :: COff -> COff -> Bool # max :: COff -> COff -> COff # min :: COff -> COff -> COff #
Ord CPid
Instance details Defined in System.Posix.Types Methods compare :: CPid -> CPid -> Ordering # (<) :: CPid -> CPid -> Bool # (<=) :: CPid -> CPid -> Bool # (>) :: CPid -> CPid -> Bool # (>=) :: CPid -> CPid -> Bool # max :: CPid -> CPid -> CPid # min :: CPid -> CPid -> CPid #
Ord CSsize
Instance details Defined in System.Posix.Types Methods compare :: CSsize -> CSsize -> Ordering # (<) :: CSsize -> CSsize -> Bool # (<=) :: CSsize -> CSsize -> Bool # (>) :: CSsize -> CSsize -> Bool # (>=) :: CSsize -> CSsize -> Bool # max :: CSsize -> CSsize -> CSsize # min :: CSsize -> CSsize -> CSsize #
Ord CGid
Instance details Defined in System.Posix.Types Methods compare :: CGid -> CGid -> Ordering # (<) :: CGid -> CGid -> Bool # (<=) :: CGid -> CGid -> Bool # (>) :: CGid -> CGid -> Bool # (>=) :: CGid -> CGid -> Bool # max :: CGid -> CGid -> CGid # min :: CGid -> CGid -> CGid #
Ord CNlink
Instance details Defined in System.Posix.Types Methods compare :: CNlink -> CNlink -> Ordering # (<) :: CNlink -> CNlink -> Bool # (<=) :: CNlink -> CNlink -> Bool # (>) :: CNlink -> CNlink -> Bool # (>=) :: CNlink -> CNlink -> Bool # max :: CNlink -> CNlink -> CNlink # min :: CNlink -> CNlink -> CNlink #
Ord CUid
Instance details Defined in System.Posix.Types Methods compare :: CUid -> CUid -> Ordering # (<) :: CUid -> CUid -> Bool # (<=) :: CUid -> CUid -> Bool # (>) :: CUid -> CUid -> Bool # (>=) :: CUid -> CUid -> Bool # max :: CUid -> CUid -> CUid # min :: CUid -> CUid -> CUid #
Ord CCc
Instance details Defined in System.Posix.Types Methods compare :: CCc -> CCc -> Ordering # (<) :: CCc -> CCc -> Bool # (<=) :: CCc -> CCc -> Bool # (>) :: CCc -> CCc -> Bool # (>=) :: CCc -> CCc -> Bool # max :: CCc -> CCc -> CCc # min :: CCc -> CCc -> CCc #
Ord CSpeed
Instance details Defined in System.Posix.Types Methods compare :: CSpeed -> CSpeed -> Ordering # (<) :: CSpeed -> CSpeed -> Bool # (<=) :: CSpeed -> CSpeed -> Bool # (>) :: CSpeed -> CSpeed -> Bool # (>=) :: CSpeed -> CSpeed -> Bool # max :: CSpeed -> CSpeed -> CSpeed # min :: CSpeed -> CSpeed -> CSpeed #
Ord CTcflag
Instance details Defined in System.Posix.Types Methods compare :: CTcflag -> CTcflag -> Ordering # (<) :: CTcflag -> CTcflag -> Bool # (<=) :: CTcflag -> CTcflag -> Bool # (>) :: CTcflag -> CTcflag -> Bool # (>=) :: CTcflag -> CTcflag -> Bool # max :: CTcflag -> CTcflag -> CTcflag # min :: CTcflag -> CTcflag -> CTcflag #
Ord CRLim
Instance details Defined in System.Posix.Types Methods compare :: CRLim -> CRLim -> Ordering # (<) :: CRLim -> CRLim -> Bool # (<=) :: CRLim -> CRLim -> Bool # (>) :: CRLim -> CRLim -> Bool # (>=) :: CRLim -> CRLim -> Bool # max :: CRLim -> CRLim -> CRLim # min :: CRLim -> CRLim -> CRLim #
Ord CBlkSize
Instance details Defined in System.Posix.Types Methods compare :: CBlkSize -> CBlkSize -> Ordering # (<) :: CBlkSize -> CBlkSize -> Bool # (<=) :: CBlkSize -> CBlkSize -> Bool # (>) :: CBlkSize -> CBlkSize -> Bool # (>=) :: CBlkSize -> CBlkSize -> Bool # max :: CBlkSize -> CBlkSize -> CBlkSize # min :: CBlkSize -> CBlkSize -> CBlkSize #
Ord CBlkCnt
Instance details Defined in System.Posix.Types Methods compare :: CBlkCnt -> CBlkCnt -> Ordering # (<) :: CBlkCnt -> CBlkCnt -> Bool # (<=) :: CBlkCnt -> CBlkCnt -> Bool # (>) :: CBlkCnt -> CBlkCnt -> Bool # (>=) :: CBlkCnt -> CBlkCnt -> Bool # max :: CBlkCnt -> CBlkCnt -> CBlkCnt # min :: CBlkCnt -> CBlkCnt -> CBlkCnt #
Ord CClockId
Instance details Defined in System.Posix.Types Methods compare :: CClockId -> CClockId -> Ordering # (<) :: CClockId -> CClockId -> Bool # (<=) :: CClockId -> CClockId -> Bool # (>) :: CClockId -> CClockId -> Bool # (>=) :: CClockId -> CClockId -> Bool # max :: CClockId -> CClockId -> CClockId # min :: CClockId -> CClockId -> CClockId #
Ord CFsBlkCnt
Instance details Defined in System.Posix.Types Methods compare :: CFsBlkCnt -> CFsBlkCnt -> Ordering # (<) :: CFsBlkCnt -> CFsBlkCnt -> Bool # (<=) :: CFsBlkCnt -> CFsBlkCnt -> Bool # (>) :: CFsBlkCnt -> CFsBlkCnt -> Bool # (>=) :: CFsBlkCnt -> CFsBlkCnt -> Bool # max :: CFsBlkCnt -> CFsBlkCnt -> CFsBlkCnt # min :: CFsBlkCnt -> CFsBlkCnt -> CFsBlkCnt #
Ord CFsFilCnt
Instance details Defined in System.Posix.Types Methods compare :: CFsFilCnt -> CFsFilCnt -> Ordering # (<) :: CFsFilCnt -> CFsFilCnt -> Bool # (<=) :: CFsFilCnt -> CFsFilCnt -> Bool # (>) :: CFsFilCnt -> CFsFilCnt -> Bool # (>=) :: CFsFilCnt -> CFsFilCnt -> Bool # max :: CFsFilCnt -> CFsFilCnt -> CFsFilCnt # min :: CFsFilCnt -> CFsFilCnt -> CFsFilCnt #
Ord CId
Instance details Defined in System.Posix.Types Methods compare :: CId -> CId -> Ordering # (<) :: CId -> CId -> Bool # (<=) :: CId -> CId -> Bool # (>) :: CId -> CId -> Bool # (>=) :: CId -> CId -> Bool # max :: CId -> CId -> CId # min :: CId -> CId -> CId #
Ord CKey
Instance details Defined in System.Posix.Types Methods compare :: CKey -> CKey -> Ordering # (<) :: CKey -> CKey -> Bool # (<=) :: CKey -> CKey -> Bool # (>) :: CKey -> CKey -> Bool # (>=) :: CKey -> CKey -> Bool # max :: CKey -> CKey -> CKey # min :: CKey -> CKey -> CKey #
Ord CTimer
Instance details Defined in System.Posix.Types Methods compare :: CTimer -> CTimer -> Ordering # (<) :: CTimer -> CTimer -> Bool # (<=) :: CTimer -> CTimer -> Bool # (>) :: CTimer -> CTimer -> Bool # (>=) :: CTimer -> CTimer -> Bool # max :: CTimer -> CTimer -> CTimer # min :: CTimer -> CTimer -> CTimer #
Ord Fd
Instance details Defined in System.Posix.Types Methods compare :: Fd -> Fd -> Ordering # (<) :: Fd -> Fd -> Bool # (<=) :: Fd -> Fd -> Bool # (>) :: Fd -> Fd -> Bool # (>=) :: Fd -> Fd -> Bool # max :: Fd -> Fd -> Fd # min :: Fd -> Fd -> Fd #
Ord AsyncException	Since: base-4.2.0.0
Instance details Defined in GHC.IO.Exception Methods compare :: AsyncException -> AsyncException -> Ordering # (<) :: AsyncException -> AsyncException -> Bool # (<=) :: AsyncException -> AsyncException -> Bool # (>) :: AsyncException -> AsyncException -> Bool # (>=) :: AsyncException -> AsyncException -> Bool # max :: AsyncException -> AsyncException -> AsyncException # min :: AsyncException -> AsyncException -> AsyncException #
Ord ArrayException	Since: base-4.2.0.0
Instance details Defined in GHC.IO.Exception Methods compare :: ArrayException -> ArrayException -> Ordering # (<) :: ArrayException -> ArrayException -> Bool # (<=) :: ArrayException -> ArrayException -> Bool # (>) :: ArrayException -> ArrayException -> Bool # (>=) :: ArrayException -> ArrayException -> Bool # max :: ArrayException -> ArrayException -> ArrayException # min :: ArrayException -> ArrayException -> ArrayException #
Ord ExitCode
Instance details Defined in GHC.IO.Exception Methods compare :: ExitCode -> ExitCode -> Ordering # (<) :: ExitCode -> ExitCode -> Bool # (<=) :: ExitCode -> ExitCode -> Bool # (>) :: ExitCode -> ExitCode -> Bool # (>=) :: ExitCode -> ExitCode -> Bool # max :: ExitCode -> ExitCode -> ExitCode # min :: ExitCode -> ExitCode -> ExitCode #
Ord BufferMode	Since: base-4.2.0.0
Instance details Defined in GHC.IO.Handle.Types Methods compare :: BufferMode -> BufferMode -> Ordering # (<) :: BufferMode -> BufferMode -> Bool # (<=) :: BufferMode -> BufferMode -> Bool # (>) :: BufferMode -> BufferMode -> Bool # (>=) :: BufferMode -> BufferMode -> Bool # max :: BufferMode -> BufferMode -> BufferMode # min :: BufferMode -> BufferMode -> BufferMode #
Ord Newline	Since: base-4.3.0.0
Instance details Defined in GHC.IO.Handle.Types Methods compare :: Newline -> Newline -> Ordering # (<) :: Newline -> Newline -> Bool # (<=) :: Newline -> Newline -> Bool # (>) :: Newline -> Newline -> Bool # (>=) :: Newline -> Newline -> Bool # max :: Newline -> Newline -> Newline # min :: Newline -> Newline -> Newline #
Ord NewlineMode	Since: base-4.3.0.0
Instance details Defined in GHC.IO.Handle.Types Methods compare :: NewlineMode -> NewlineMode -> Ordering # (<) :: NewlineMode -> NewlineMode -> Bool # (<=) :: NewlineMode -> NewlineMode -> Bool # (>) :: NewlineMode -> NewlineMode -> Bool # (>=) :: NewlineMode -> NewlineMode -> Bool # max :: NewlineMode -> NewlineMode -> NewlineMode # min :: NewlineMode -> NewlineMode -> NewlineMode #
Ord ErrorCall	Since: base-4.7.0.0
Instance details Defined in GHC.Exception Methods compare :: ErrorCall -> ErrorCall -> Ordering # (<) :: ErrorCall -> ErrorCall -> Bool # (<=) :: ErrorCall -> ErrorCall -> Bool # (>) :: ErrorCall -> ErrorCall -> Bool # (>=) :: ErrorCall -> ErrorCall -> Bool # max :: ErrorCall -> ErrorCall -> ErrorCall # min :: ErrorCall -> ErrorCall -> ErrorCall #
Ord ArithException	Since: base-3.0
Instance details Defined in GHC.Exception.Type Methods compare :: ArithException -> ArithException -> Ordering # (<) :: ArithException -> ArithException -> Bool # (<=) :: ArithException -> ArithException -> Bool # (>) :: ArithException -> ArithException -> Bool # (>=) :: ArithException -> ArithException -> Bool # max :: ArithException -> ArithException -> ArithException # min :: ArithException -> ArithException -> ArithException #
Ord All	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods compare :: All -> All -> Ordering # (<) :: All -> All -> Bool # (<=) :: All -> All -> Bool # (>) :: All -> All -> Bool # (>=) :: All -> All -> Bool # max :: All -> All -> All # min :: All -> All -> All #
Ord Any	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods compare :: Any -> Any -> Ordering # (<) :: Any -> Any -> Bool # (<=) :: Any -> Any -> Bool # (>) :: Any -> Any -> Bool # (>=) :: Any -> Any -> Bool # max :: Any -> Any -> Any # min :: Any -> Any -> Any #
Ord Fixity	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Methods compare :: Fixity -> Fixity -> Ordering # (<) :: Fixity -> Fixity -> Bool # (<=) :: Fixity -> Fixity -> Bool # (>) :: Fixity -> Fixity -> Bool # (>=) :: Fixity -> Fixity -> Bool # max :: Fixity -> Fixity -> Fixity # min :: Fixity -> Fixity -> Fixity #
Ord Associativity	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Methods compare :: Associativity -> Associativity -> Ordering # (<) :: Associativity -> Associativity -> Bool # (<=) :: Associativity -> Associativity -> Bool # (>) :: Associativity -> Associativity -> Bool # (>=) :: Associativity -> Associativity -> Bool # max :: Associativity -> Associativity -> Associativity # min :: Associativity -> Associativity -> Associativity #
Ord SourceUnpackedness	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods compare :: SourceUnpackedness -> SourceUnpackedness -> Ordering # (<) :: SourceUnpackedness -> SourceUnpackedness -> Bool # (<=) :: SourceUnpackedness -> SourceUnpackedness -> Bool # (>) :: SourceUnpackedness -> SourceUnpackedness -> Bool # (>=) :: SourceUnpackedness -> SourceUnpackedness -> Bool # max :: SourceUnpackedness -> SourceUnpackedness -> SourceUnpackedness # min :: SourceUnpackedness -> SourceUnpackedness -> SourceUnpackedness #
Ord SourceStrictness	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods compare :: SourceStrictness -> SourceStrictness -> Ordering # (<) :: SourceStrictness -> SourceStrictness -> Bool # (<=) :: SourceStrictness -> SourceStrictness -> Bool # (>) :: SourceStrictness -> SourceStrictness -> Bool # (>=) :: SourceStrictness -> SourceStrictness -> Bool # max :: SourceStrictness -> SourceStrictness -> SourceStrictness # min :: SourceStrictness -> SourceStrictness -> SourceStrictness #
Ord DecidedStrictness	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods compare :: DecidedStrictness -> DecidedStrictness -> Ordering # (<) :: DecidedStrictness -> DecidedStrictness -> Bool # (<=) :: DecidedStrictness -> DecidedStrictness -> Bool # (>) :: DecidedStrictness -> DecidedStrictness -> Bool # (>=) :: DecidedStrictness -> DecidedStrictness -> Bool # max :: DecidedStrictness -> DecidedStrictness -> DecidedStrictness # min :: DecidedStrictness -> DecidedStrictness -> DecidedStrictness #
Ord SomeSymbol	Since: base-4.7.0.0
Instance details Defined in GHC.TypeLits Methods compare :: SomeSymbol -> SomeSymbol -> Ordering # (<) :: SomeSymbol -> SomeSymbol -> Bool # (<=) :: SomeSymbol -> SomeSymbol -> Bool # (>) :: SomeSymbol -> SomeSymbol -> Bool # (>=) :: SomeSymbol -> SomeSymbol -> Bool # max :: SomeSymbol -> SomeSymbol -> SomeSymbol # min :: SomeSymbol -> SomeSymbol -> SomeSymbol #
Ord SomeNat	Since: base-4.7.0.0
Instance details Defined in GHC.TypeNats Methods compare :: SomeNat -> SomeNat -> Ordering # (<) :: SomeNat -> SomeNat -> Bool # (<=) :: SomeNat -> SomeNat -> Bool # (>) :: SomeNat -> SomeNat -> Bool # (>=) :: SomeNat -> SomeNat -> Bool # max :: SomeNat -> SomeNat -> SomeNat # min :: SomeNat -> SomeNat -> SomeNat #
Ord CChar
Instance details Defined in Foreign.C.Types Methods compare :: CChar -> CChar -> Ordering # (<) :: CChar -> CChar -> Bool # (<=) :: CChar -> CChar -> Bool # (>) :: CChar -> CChar -> Bool # (>=) :: CChar -> CChar -> Bool # max :: CChar -> CChar -> CChar # min :: CChar -> CChar -> CChar #
Ord CSChar
Instance details Defined in Foreign.C.Types Methods compare :: CSChar -> CSChar -> Ordering # (<) :: CSChar -> CSChar -> Bool # (<=) :: CSChar -> CSChar -> Bool # (>) :: CSChar -> CSChar -> Bool # (>=) :: CSChar -> CSChar -> Bool # max :: CSChar -> CSChar -> CSChar # min :: CSChar -> CSChar -> CSChar #
Ord CUChar
Instance details Defined in Foreign.C.Types Methods compare :: CUChar -> CUChar -> Ordering # (<) :: CUChar -> CUChar -> Bool # (<=) :: CUChar -> CUChar -> Bool # (>) :: CUChar -> CUChar -> Bool # (>=) :: CUChar -> CUChar -> Bool # max :: CUChar -> CUChar -> CUChar # min :: CUChar -> CUChar -> CUChar #
Ord CShort
Instance details Defined in Foreign.C.Types Methods compare :: CShort -> CShort -> Ordering # (<) :: CShort -> CShort -> Bool # (<=) :: CShort -> CShort -> Bool # (>) :: CShort -> CShort -> Bool # (>=) :: CShort -> CShort -> Bool # max :: CShort -> CShort -> CShort # min :: CShort -> CShort -> CShort #
Ord CUShort
Instance details Defined in Foreign.C.Types Methods compare :: CUShort -> CUShort -> Ordering # (<) :: CUShort -> CUShort -> Bool # (<=) :: CUShort -> CUShort -> Bool # (>) :: CUShort -> CUShort -> Bool # (>=) :: CUShort -> CUShort -> Bool # max :: CUShort -> CUShort -> CUShort # min :: CUShort -> CUShort -> CUShort #
Ord CInt
Instance details Defined in Foreign.C.Types Methods compare :: CInt -> CInt -> Ordering # (<) :: CInt -> CInt -> Bool # (<=) :: CInt -> CInt -> Bool # (>) :: CInt -> CInt -> Bool # (>=) :: CInt -> CInt -> Bool # max :: CInt -> CInt -> CInt # min :: CInt -> CInt -> CInt #
Ord CUInt
Instance details Defined in Foreign.C.Types Methods compare :: CUInt -> CUInt -> Ordering # (<) :: CUInt -> CUInt -> Bool # (<=) :: CUInt -> CUInt -> Bool # (>) :: CUInt -> CUInt -> Bool # (>=) :: CUInt -> CUInt -> Bool # max :: CUInt -> CUInt -> CUInt # min :: CUInt -> CUInt -> CUInt #
Ord CLong
Instance details Defined in Foreign.C.Types Methods compare :: CLong -> CLong -> Ordering # (<) :: CLong -> CLong -> Bool # (<=) :: CLong -> CLong -> Bool # (>) :: CLong -> CLong -> Bool # (>=) :: CLong -> CLong -> Bool # max :: CLong -> CLong -> CLong # min :: CLong -> CLong -> CLong #
Ord CULong
Instance details Defined in Foreign.C.Types Methods compare :: CULong -> CULong -> Ordering # (<) :: CULong -> CULong -> Bool # (<=) :: CULong -> CULong -> Bool # (>) :: CULong -> CULong -> Bool # (>=) :: CULong -> CULong -> Bool # max :: CULong -> CULong -> CULong # min :: CULong -> CULong -> CULong #
Ord CLLong
Instance details Defined in Foreign.C.Types Methods compare :: CLLong -> CLLong -> Ordering # (<) :: CLLong -> CLLong -> Bool # (<=) :: CLLong -> CLLong -> Bool # (>) :: CLLong -> CLLong -> Bool # (>=) :: CLLong -> CLLong -> Bool # max :: CLLong -> CLLong -> CLLong # min :: CLLong -> CLLong -> CLLong #
Ord CULLong
Instance details Defined in Foreign.C.Types Methods compare :: CULLong -> CULLong -> Ordering # (<) :: CULLong -> CULLong -> Bool # (<=) :: CULLong -> CULLong -> Bool # (>) :: CULLong -> CULLong -> Bool # (>=) :: CULLong -> CULLong -> Bool # max :: CULLong -> CULLong -> CULLong # min :: CULLong -> CULLong -> CULLong #
Ord CBool
Instance details Defined in Foreign.C.Types Methods compare :: CBool -> CBool -> Ordering # (<) :: CBool -> CBool -> Bool # (<=) :: CBool -> CBool -> Bool # (>) :: CBool -> CBool -> Bool # (>=) :: CBool -> CBool -> Bool # max :: CBool -> CBool -> CBool # min :: CBool -> CBool -> CBool #
Ord CFloat
Instance details Defined in Foreign.C.Types Methods compare :: CFloat -> CFloat -> Ordering # (<) :: CFloat -> CFloat -> Bool # (<=) :: CFloat -> CFloat -> Bool # (>) :: CFloat -> CFloat -> Bool # (>=) :: CFloat -> CFloat -> Bool # max :: CFloat -> CFloat -> CFloat # min :: CFloat -> CFloat -> CFloat #
Ord CDouble
Instance details Defined in Foreign.C.Types Methods compare :: CDouble -> CDouble -> Ordering # (<) :: CDouble -> CDouble -> Bool # (<=) :: CDouble -> CDouble -> Bool # (>) :: CDouble -> CDouble -> Bool # (>=) :: CDouble -> CDouble -> Bool # max :: CDouble -> CDouble -> CDouble # min :: CDouble -> CDouble -> CDouble #
Ord CPtrdiff
Instance details Defined in Foreign.C.Types Methods compare :: CPtrdiff -> CPtrdiff -> Ordering # (<) :: CPtrdiff -> CPtrdiff -> Bool # (<=) :: CPtrdiff -> CPtrdiff -> Bool # (>) :: CPtrdiff -> CPtrdiff -> Bool # (>=) :: CPtrdiff -> CPtrdiff -> Bool # max :: CPtrdiff -> CPtrdiff -> CPtrdiff # min :: CPtrdiff -> CPtrdiff -> CPtrdiff #
Ord CSize
Instance details Defined in Foreign.C.Types Methods compare :: CSize -> CSize -> Ordering # (<) :: CSize -> CSize -> Bool # (<=) :: CSize -> CSize -> Bool # (>) :: CSize -> CSize -> Bool # (>=) :: CSize -> CSize -> Bool # max :: CSize -> CSize -> CSize # min :: CSize -> CSize -> CSize #
Ord CWchar
Instance details Defined in Foreign.C.Types Methods compare :: CWchar -> CWchar -> Ordering # (<) :: CWchar -> CWchar -> Bool # (<=) :: CWchar -> CWchar -> Bool # (>) :: CWchar -> CWchar -> Bool # (>=) :: CWchar -> CWchar -> Bool # max :: CWchar -> CWchar -> CWchar # min :: CWchar -> CWchar -> CWchar #
Ord CSigAtomic
Instance details Defined in Foreign.C.Types Methods compare :: CSigAtomic -> CSigAtomic -> Ordering # (<) :: CSigAtomic -> CSigAtomic -> Bool # (<=) :: CSigAtomic -> CSigAtomic -> Bool # (>) :: CSigAtomic -> CSigAtomic -> Bool # (>=) :: CSigAtomic -> CSigAtomic -> Bool # max :: CSigAtomic -> CSigAtomic -> CSigAtomic # min :: CSigAtomic -> CSigAtomic -> CSigAtomic #
Ord CClock
Instance details Defined in Foreign.C.Types Methods compare :: CClock -> CClock -> Ordering # (<) :: CClock -> CClock -> Bool # (<=) :: CClock -> CClock -> Bool # (>) :: CClock -> CClock -> Bool # (>=) :: CClock -> CClock -> Bool # max :: CClock -> CClock -> CClock # min :: CClock -> CClock -> CClock #
Ord CTime
Instance details Defined in Foreign.C.Types Methods compare :: CTime -> CTime -> Ordering # (<) :: CTime -> CTime -> Bool # (<=) :: CTime -> CTime -> Bool # (>) :: CTime -> CTime -> Bool # (>=) :: CTime -> CTime -> Bool # max :: CTime -> CTime -> CTime # min :: CTime -> CTime -> CTime #
Ord CUSeconds
Instance details Defined in Foreign.C.Types Methods compare :: CUSeconds -> CUSeconds -> Ordering # (<) :: CUSeconds -> CUSeconds -> Bool # (<=) :: CUSeconds -> CUSeconds -> Bool # (>) :: CUSeconds -> CUSeconds -> Bool # (>=) :: CUSeconds -> CUSeconds -> Bool # max :: CUSeconds -> CUSeconds -> CUSeconds # min :: CUSeconds -> CUSeconds -> CUSeconds #
Ord CSUSeconds
Instance details Defined in Foreign.C.Types Methods compare :: CSUSeconds -> CSUSeconds -> Ordering # (<) :: CSUSeconds -> CSUSeconds -> Bool # (<=) :: CSUSeconds -> CSUSeconds -> Bool # (>) :: CSUSeconds -> CSUSeconds -> Bool # (>=) :: CSUSeconds -> CSUSeconds -> Bool # max :: CSUSeconds -> CSUSeconds -> CSUSeconds # min :: CSUSeconds -> CSUSeconds -> CSUSeconds #
Ord CIntPtr
Instance details Defined in Foreign.C.Types Methods compare :: CIntPtr -> CIntPtr -> Ordering # (<) :: CIntPtr -> CIntPtr -> Bool # (<=) :: CIntPtr -> CIntPtr -> Bool # (>) :: CIntPtr -> CIntPtr -> Bool # (>=) :: CIntPtr -> CIntPtr -> Bool # max :: CIntPtr -> CIntPtr -> CIntPtr # min :: CIntPtr -> CIntPtr -> CIntPtr #
Ord CUIntPtr
Instance details Defined in Foreign.C.Types Methods compare :: CUIntPtr -> CUIntPtr -> Ordering # (<) :: CUIntPtr -> CUIntPtr -> Bool # (<=) :: CUIntPtr -> CUIntPtr -> Bool # (>) :: CUIntPtr -> CUIntPtr -> Bool # (>=) :: CUIntPtr -> CUIntPtr -> Bool # max :: CUIntPtr -> CUIntPtr -> CUIntPtr # min :: CUIntPtr -> CUIntPtr -> CUIntPtr #
Ord CIntMax
Instance details Defined in Foreign.C.Types Methods compare :: CIntMax -> CIntMax -> Ordering # (<) :: CIntMax -> CIntMax -> Bool # (<=) :: CIntMax -> CIntMax -> Bool # (>) :: CIntMax -> CIntMax -> Bool # (>=) :: CIntMax -> CIntMax -> Bool # max :: CIntMax -> CIntMax -> CIntMax # min :: CIntMax -> CIntMax -> CIntMax #
Ord CUIntMax
Instance details Defined in Foreign.C.Types Methods compare :: CUIntMax -> CUIntMax -> Ordering # (<) :: CUIntMax -> CUIntMax -> Bool # (<=) :: CUIntMax -> CUIntMax -> Bool # (>) :: CUIntMax -> CUIntMax -> Bool # (>=) :: CUIntMax -> CUIntMax -> Bool # max :: CUIntMax -> CUIntMax -> CUIntMax # min :: CUIntMax -> CUIntMax -> CUIntMax #
Ord WordPtr
Instance details Defined in Foreign.Ptr Methods compare :: WordPtr -> WordPtr -> Ordering # (<) :: WordPtr -> WordPtr -> Bool # (<=) :: WordPtr -> WordPtr -> Bool # (>) :: WordPtr -> WordPtr -> Bool # (>=) :: WordPtr -> WordPtr -> Bool # max :: WordPtr -> WordPtr -> WordPtr # min :: WordPtr -> WordPtr -> WordPtr #
Ord IntPtr
Instance details Defined in Foreign.Ptr Methods compare :: IntPtr -> IntPtr -> Ordering # (<) :: IntPtr -> IntPtr -> Bool # (<=) :: IntPtr -> IntPtr -> Bool # (>) :: IntPtr -> IntPtr -> Bool # (>=) :: IntPtr -> IntPtr -> Bool # max :: IntPtr -> IntPtr -> IntPtr # min :: IntPtr -> IntPtr -> IntPtr #
Ord IOMode	Since: base-4.2.0.0
Instance details Defined in GHC.IO.IOMode Methods compare :: IOMode -> IOMode -> Ordering # (<) :: IOMode -> IOMode -> Bool # (<=) :: IOMode -> IOMode -> Bool # (>) :: IOMode -> IOMode -> Bool # (>=) :: IOMode -> IOMode -> Bool # max :: IOMode -> IOMode -> IOMode # min :: IOMode -> IOMode -> IOMode #
Ord GeneralCategory	Since: base-2.1
Instance details Defined in GHC.Unicode Methods compare :: GeneralCategory -> GeneralCategory -> Ordering # (<) :: GeneralCategory -> GeneralCategory -> Bool # (<=) :: GeneralCategory -> GeneralCategory -> Bool # (>) :: GeneralCategory -> GeneralCategory -> Bool # (>=) :: GeneralCategory -> GeneralCategory -> Bool # max :: GeneralCategory -> GeneralCategory -> GeneralCategory # min :: GeneralCategory -> GeneralCategory -> GeneralCategory #
Ord IntSet
Instance details Defined in Data.IntSet.Internal Methods compare :: IntSet -> IntSet -> Ordering # (<) :: IntSet -> IntSet -> Bool # (<=) :: IntSet -> IntSet -> Bool # (>) :: IntSet -> IntSet -> Bool # (>=) :: IntSet -> IntSet -> Bool # max :: IntSet -> IntSet -> IntSet # min :: IntSet -> IntSet -> IntSet #
Ord TyVarBndr
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: TyVarBndr -> TyVarBndr -> Ordering # (<) :: TyVarBndr -> TyVarBndr -> Bool # (<=) :: TyVarBndr -> TyVarBndr -> Bool # (>) :: TyVarBndr -> TyVarBndr -> Bool # (>=) :: TyVarBndr -> TyVarBndr -> Bool # max :: TyVarBndr -> TyVarBndr -> TyVarBndr # min :: TyVarBndr -> TyVarBndr -> TyVarBndr #
Ord DefName
Instance details Defined in Control.Lens.Internal.FieldTH Methods compare :: DefName -> DefName -> Ordering # (<) :: DefName -> DefName -> Bool # (<=) :: DefName -> DefName -> Bool # (>) :: DefName -> DefName -> Bool # (>=) :: DefName -> DefName -> Bool # max :: DefName -> DefName -> DefName # min :: DefName -> DefName -> DefName #
Ord ByteArray	Non-lexicographic ordering. This compares the lengths of the byte arrays first and uses a lexicographic ordering if the lengths are equal. Subject to change between major versions. Since: primitive-0.6.3.0
Instance details Defined in Data.Primitive.ByteArray Methods compare :: ByteArray -> ByteArray -> Ordering # (<) :: ByteArray -> ByteArray -> Bool # (<=) :: ByteArray -> ByteArray -> Bool # (>) :: ByteArray -> ByteArray -> Bool # (>=) :: ByteArray -> ByteArray -> Bool # max :: ByteArray -> ByteArray -> ByteArray # min :: ByteArray -> ByteArray -> ByteArray #
Ord Addr
Instance details Defined in Data.Primitive.Types Methods compare :: Addr -> Addr -> Ordering # (<) :: Addr -> Addr -> Bool # (<=) :: Addr -> Addr -> Bool # (>) :: Addr -> Addr -> Bool # (>=) :: Addr -> Addr -> Bool # max :: Addr -> Addr -> Addr # min :: Addr -> Addr -> Addr #
Ord Leniency
Instance details Defined in Protolude.Conv Methods compare :: Leniency -> Leniency -> Ordering # (<) :: Leniency -> Leniency -> Bool # (<=) :: Leniency -> Leniency -> Bool # (>) :: Leniency -> Leniency -> Bool # (>=) :: Leniency -> Leniency -> Bool # max :: Leniency -> Leniency -> Leniency # min :: Leniency -> Leniency -> Leniency #
Ord ModName
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: ModName -> ModName -> Ordering # (<) :: ModName -> ModName -> Bool # (<=) :: ModName -> ModName -> Bool # (>) :: ModName -> ModName -> Bool # (>=) :: ModName -> ModName -> Bool # max :: ModName -> ModName -> ModName # min :: ModName -> ModName -> ModName #
Ord PkgName
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: PkgName -> PkgName -> Ordering # (<) :: PkgName -> PkgName -> Bool # (<=) :: PkgName -> PkgName -> Bool # (>) :: PkgName -> PkgName -> Bool # (>=) :: PkgName -> PkgName -> Bool # max :: PkgName -> PkgName -> PkgName # min :: PkgName -> PkgName -> PkgName #
Ord Module
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: Module -> Module -> Ordering # (<) :: Module -> Module -> Bool # (<=) :: Module -> Module -> Bool # (>) :: Module -> Module -> Bool # (>=) :: Module -> Module -> Bool # max :: Module -> Module -> Module # min :: Module -> Module -> Module #
Ord OccName
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: OccName -> OccName -> Ordering # (<) :: OccName -> OccName -> Bool # (<=) :: OccName -> OccName -> Bool # (>) :: OccName -> OccName -> Bool # (>=) :: OccName -> OccName -> Bool # max :: OccName -> OccName -> OccName # min :: OccName -> OccName -> OccName #
Ord NameFlavour
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: NameFlavour -> NameFlavour -> Ordering # (<) :: NameFlavour -> NameFlavour -> Bool # (<=) :: NameFlavour -> NameFlavour -> Bool # (>) :: NameFlavour -> NameFlavour -> Bool # (>=) :: NameFlavour -> NameFlavour -> Bool # max :: NameFlavour -> NameFlavour -> NameFlavour # min :: NameFlavour -> NameFlavour -> NameFlavour #
Ord NameSpace
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: NameSpace -> NameSpace -> Ordering # (<) :: NameSpace -> NameSpace -> Bool # (<=) :: NameSpace -> NameSpace -> Bool # (>) :: NameSpace -> NameSpace -> Bool # (>=) :: NameSpace -> NameSpace -> Bool # max :: NameSpace -> NameSpace -> NameSpace # min :: NameSpace -> NameSpace -> NameSpace #
Ord Loc
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: Loc -> Loc -> Ordering # (<) :: Loc -> Loc -> Bool # (<=) :: Loc -> Loc -> Bool # (>) :: Loc -> Loc -> Bool # (>=) :: Loc -> Loc -> Bool # max :: Loc -> Loc -> Loc # min :: Loc -> Loc -> Loc #
Ord Info
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: Info -> Info -> Ordering # (<) :: Info -> Info -> Bool # (<=) :: Info -> Info -> Bool # (>) :: Info -> Info -> Bool # (>=) :: Info -> Info -> Bool # max :: Info -> Info -> Info # min :: Info -> Info -> Info #
Ord ModuleInfo
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: ModuleInfo -> ModuleInfo -> Ordering # (<) :: ModuleInfo -> ModuleInfo -> Bool # (<=) :: ModuleInfo -> ModuleInfo -> Bool # (>) :: ModuleInfo -> ModuleInfo -> Bool # (>=) :: ModuleInfo -> ModuleInfo -> Bool # max :: ModuleInfo -> ModuleInfo -> ModuleInfo # min :: ModuleInfo -> ModuleInfo -> ModuleInfo #
Ord Fixity
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: Fixity -> Fixity -> Ordering # (<) :: Fixity -> Fixity -> Bool # (<=) :: Fixity -> Fixity -> Bool # (>) :: Fixity -> Fixity -> Bool # (>=) :: Fixity -> Fixity -> Bool # max :: Fixity -> Fixity -> Fixity # min :: Fixity -> Fixity -> Fixity #
Ord FixityDirection
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: FixityDirection -> FixityDirection -> Ordering # (<) :: FixityDirection -> FixityDirection -> Bool # (<=) :: FixityDirection -> FixityDirection -> Bool # (>) :: FixityDirection -> FixityDirection -> Bool # (>=) :: FixityDirection -> FixityDirection -> Bool # max :: FixityDirection -> FixityDirection -> FixityDirection # min :: FixityDirection -> FixityDirection -> FixityDirection #
Ord Lit
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: Lit -> Lit -> Ordering # (<) :: Lit -> Lit -> Bool # (<=) :: Lit -> Lit -> Bool # (>) :: Lit -> Lit -> Bool # (>=) :: Lit -> Lit -> Bool # max :: Lit -> Lit -> Lit # min :: Lit -> Lit -> Lit #
Ord Body
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: Body -> Body -> Ordering # (<) :: Body -> Body -> Bool # (<=) :: Body -> Body -> Bool # (>) :: Body -> Body -> Bool # (>=) :: Body -> Body -> Bool # max :: Body -> Body -> Body # min :: Body -> Body -> Body #
Ord Guard
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: Guard -> Guard -> Ordering # (<) :: Guard -> Guard -> Bool # (<=) :: Guard -> Guard -> Bool # (>) :: Guard -> Guard -> Bool # (>=) :: Guard -> Guard -> Bool # max :: Guard -> Guard -> Guard # min :: Guard -> Guard -> Guard #
Ord Stmt
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: Stmt -> Stmt -> Ordering # (<) :: Stmt -> Stmt -> Bool # (<=) :: Stmt -> Stmt -> Bool # (>) :: Stmt -> Stmt -> Bool # (>=) :: Stmt -> Stmt -> Bool # max :: Stmt -> Stmt -> Stmt # min :: Stmt -> Stmt -> Stmt #
Ord Range
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: Range -> Range -> Ordering # (<) :: Range -> Range -> Bool # (<=) :: Range -> Range -> Bool # (>) :: Range -> Range -> Bool # (>=) :: Range -> Range -> Bool # max :: Range -> Range -> Range # min :: Range -> Range -> Range #
Ord DerivClause
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: DerivClause -> DerivClause -> Ordering # (<) :: DerivClause -> DerivClause -> Bool # (<=) :: DerivClause -> DerivClause -> Bool # (>) :: DerivClause -> DerivClause -> Bool # (>=) :: DerivClause -> DerivClause -> Bool # max :: DerivClause -> DerivClause -> DerivClause # min :: DerivClause -> DerivClause -> DerivClause #
Ord DerivStrategy
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: DerivStrategy -> DerivStrategy -> Ordering # (<) :: DerivStrategy -> DerivStrategy -> Bool # (<=) :: DerivStrategy -> DerivStrategy -> Bool # (>) :: DerivStrategy -> DerivStrategy -> Bool # (>=) :: DerivStrategy -> DerivStrategy -> Bool # max :: DerivStrategy -> DerivStrategy -> DerivStrategy # min :: DerivStrategy -> DerivStrategy -> DerivStrategy #
Ord TypeFamilyHead
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: TypeFamilyHead -> TypeFamilyHead -> Ordering # (<) :: TypeFamilyHead -> TypeFamilyHead -> Bool # (<=) :: TypeFamilyHead -> TypeFamilyHead -> Bool # (>) :: TypeFamilyHead -> TypeFamilyHead -> Bool # (>=) :: TypeFamilyHead -> TypeFamilyHead -> Bool # max :: TypeFamilyHead -> TypeFamilyHead -> TypeFamilyHead # min :: TypeFamilyHead -> TypeFamilyHead -> TypeFamilyHead #
Ord TySynEqn
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: TySynEqn -> TySynEqn -> Ordering # (<) :: TySynEqn -> TySynEqn -> Bool # (<=) :: TySynEqn -> TySynEqn -> Bool # (>) :: TySynEqn -> TySynEqn -> Bool # (>=) :: TySynEqn -> TySynEqn -> Bool # max :: TySynEqn -> TySynEqn -> TySynEqn # min :: TySynEqn -> TySynEqn -> TySynEqn #
Ord Foreign
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: Foreign -> Foreign -> Ordering # (<) :: Foreign -> Foreign -> Bool # (<=) :: Foreign -> Foreign -> Bool # (>) :: Foreign -> Foreign -> Bool # (>=) :: Foreign -> Foreign -> Bool # max :: Foreign -> Foreign -> Foreign # min :: Foreign -> Foreign -> Foreign #
Ord Callconv
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: Callconv -> Callconv -> Ordering # (<) :: Callconv -> Callconv -> Bool # (<=) :: Callconv -> Callconv -> Bool # (>) :: Callconv -> Callconv -> Bool # (>=) :: Callconv -> Callconv -> Bool # max :: Callconv -> Callconv -> Callconv # min :: Callconv -> Callconv -> Callconv #
Ord Safety
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: Safety -> Safety -> Ordering # (<) :: Safety -> Safety -> Bool # (<=) :: Safety -> Safety -> Bool # (>) :: Safety -> Safety -> Bool # (>=) :: Safety -> Safety -> Bool # max :: Safety -> Safety -> Safety # min :: Safety -> Safety -> Safety #
Ord Pragma
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: Pragma -> Pragma -> Ordering # (<) :: Pragma -> Pragma -> Bool # (<=) :: Pragma -> Pragma -> Bool # (>) :: Pragma -> Pragma -> Bool # (>=) :: Pragma -> Pragma -> Bool # max :: Pragma -> Pragma -> Pragma # min :: Pragma -> Pragma -> Pragma #
Ord Inline
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: Inline -> Inline -> Ordering # (<) :: Inline -> Inline -> Bool # (<=) :: Inline -> Inline -> Bool # (>) :: Inline -> Inline -> Bool # (>=) :: Inline -> Inline -> Bool # max :: Inline -> Inline -> Inline # min :: Inline -> Inline -> Inline #
Ord RuleMatch
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: RuleMatch -> RuleMatch -> Ordering # (<) :: RuleMatch -> RuleMatch -> Bool # (<=) :: RuleMatch -> RuleMatch -> Bool # (>) :: RuleMatch -> RuleMatch -> Bool # (>=) :: RuleMatch -> RuleMatch -> Bool # max :: RuleMatch -> RuleMatch -> RuleMatch # min :: RuleMatch -> RuleMatch -> RuleMatch #
Ord Phases
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: Phases -> Phases -> Ordering # (<) :: Phases -> Phases -> Bool # (<=) :: Phases -> Phases -> Bool # (>) :: Phases -> Phases -> Bool # (>=) :: Phases -> Phases -> Bool # max :: Phases -> Phases -> Phases # min :: Phases -> Phases -> Phases #
Ord RuleBndr
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: RuleBndr -> RuleBndr -> Ordering # (<) :: RuleBndr -> RuleBndr -> Bool # (<=) :: RuleBndr -> RuleBndr -> Bool # (>) :: RuleBndr -> RuleBndr -> Bool # (>=) :: RuleBndr -> RuleBndr -> Bool # max :: RuleBndr -> RuleBndr -> RuleBndr # min :: RuleBndr -> RuleBndr -> RuleBndr #
Ord AnnTarget
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: AnnTarget -> AnnTarget -> Ordering # (<) :: AnnTarget -> AnnTarget -> Bool # (<=) :: AnnTarget -> AnnTarget -> Bool # (>) :: AnnTarget -> AnnTarget -> Bool # (>=) :: AnnTarget -> AnnTarget -> Bool # max :: AnnTarget -> AnnTarget -> AnnTarget # min :: AnnTarget -> AnnTarget -> AnnTarget #
Ord SourceUnpackedness
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: SourceUnpackedness -> SourceUnpackedness -> Ordering # (<) :: SourceUnpackedness -> SourceUnpackedness -> Bool # (<=) :: SourceUnpackedness -> SourceUnpackedness -> Bool # (>) :: SourceUnpackedness -> SourceUnpackedness -> Bool # (>=) :: SourceUnpackedness -> SourceUnpackedness -> Bool # max :: SourceUnpackedness -> SourceUnpackedness -> SourceUnpackedness # min :: SourceUnpackedness -> SourceUnpackedness -> SourceUnpackedness #
Ord SourceStrictness
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: SourceStrictness -> SourceStrictness -> Ordering # (<) :: SourceStrictness -> SourceStrictness -> Bool # (<=) :: SourceStrictness -> SourceStrictness -> Bool # (>) :: SourceStrictness -> SourceStrictness -> Bool # (>=) :: SourceStrictness -> SourceStrictness -> Bool # max :: SourceStrictness -> SourceStrictness -> SourceStrictness # min :: SourceStrictness -> SourceStrictness -> SourceStrictness #
Ord DecidedStrictness
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: DecidedStrictness -> DecidedStrictness -> Ordering # (<) :: DecidedStrictness -> DecidedStrictness -> Bool # (<=) :: DecidedStrictness -> DecidedStrictness -> Bool # (>) :: DecidedStrictness -> DecidedStrictness -> Bool # (>=) :: DecidedStrictness -> DecidedStrictness -> Bool # max :: DecidedStrictness -> DecidedStrictness -> DecidedStrictness # min :: DecidedStrictness -> DecidedStrictness -> DecidedStrictness #
Ord Bang
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: Bang -> Bang -> Ordering # (<) :: Bang -> Bang -> Bool # (<=) :: Bang -> Bang -> Bool # (>) :: Bang -> Bang -> Bool # (>=) :: Bang -> Bang -> Bool # max :: Bang -> Bang -> Bang # min :: Bang -> Bang -> Bang #
Ord PatSynDir
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: PatSynDir -> PatSynDir -> Ordering # (<) :: PatSynDir -> PatSynDir -> Bool # (<=) :: PatSynDir -> PatSynDir -> Bool # (>) :: PatSynDir -> PatSynDir -> Bool # (>=) :: PatSynDir -> PatSynDir -> Bool # max :: PatSynDir -> PatSynDir -> PatSynDir # min :: PatSynDir -> PatSynDir -> PatSynDir #
Ord PatSynArgs
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: PatSynArgs -> PatSynArgs -> Ordering # (<) :: PatSynArgs -> PatSynArgs -> Bool # (<=) :: PatSynArgs -> PatSynArgs -> Bool # (>) :: PatSynArgs -> PatSynArgs -> Bool # (>=) :: PatSynArgs -> PatSynArgs -> Bool # max :: PatSynArgs -> PatSynArgs -> PatSynArgs # min :: PatSynArgs -> PatSynArgs -> PatSynArgs #
Ord FamilyResultSig
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: FamilyResultSig -> FamilyResultSig -> Ordering # (<) :: FamilyResultSig -> FamilyResultSig -> Bool # (<=) :: FamilyResultSig -> FamilyResultSig -> Bool # (>) :: FamilyResultSig -> FamilyResultSig -> Bool # (>=) :: FamilyResultSig -> FamilyResultSig -> Bool # max :: FamilyResultSig -> FamilyResultSig -> FamilyResultSig # min :: FamilyResultSig -> FamilyResultSig -> FamilyResultSig #
Ord TyLit
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: TyLit -> TyLit -> Ordering # (<) :: TyLit -> TyLit -> Bool # (<=) :: TyLit -> TyLit -> Bool # (>) :: TyLit -> TyLit -> Bool # (>=) :: TyLit -> TyLit -> Bool # max :: TyLit -> TyLit -> TyLit # min :: TyLit -> TyLit -> TyLit #
Ord Role
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: Role -> Role -> Ordering # (<) :: Role -> Role -> Bool # (<=) :: Role -> Role -> Bool # (>) :: Role -> Role -> Bool # (>=) :: Role -> Role -> Bool # max :: Role -> Role -> Role # min :: Role -> Role -> Role #
Ord AnnLookup
Instance details Defined in Language.Haskell.TH.Syntax Methods compare :: AnnLookup -> AnnLookup -> Ordering # (<) :: AnnLookup -> AnnLookup -> Bool # (<=) :: AnnLookup -> AnnLookup -> Bool # (>) :: AnnLookup -> AnnLookup -> Bool # (>=) :: AnnLookup -> AnnLookup -> Bool # max :: AnnLookup -> AnnLookup -> AnnLookup # min :: AnnLookup -> AnnLookup -> AnnLookup #
Ord DatatypeVariant
Instance details Defined in Language.Haskell.TH.Datatype Methods compare :: DatatypeVariant -> DatatypeVariant -> Ordering # (<) :: DatatypeVariant -> DatatypeVariant -> Bool # (<=) :: DatatypeVariant -> DatatypeVariant -> Bool # (>) :: DatatypeVariant -> DatatypeVariant -> Bool # (>=) :: DatatypeVariant -> DatatypeVariant -> Bool # max :: DatatypeVariant -> DatatypeVariant -> DatatypeVariant # min :: DatatypeVariant -> DatatypeVariant -> DatatypeVariant #
Ord ConstructorVariant
Instance details Defined in Language.Haskell.TH.Datatype Methods compare :: ConstructorVariant -> ConstructorVariant -> Ordering # (<) :: ConstructorVariant -> ConstructorVariant -> Bool # (<=) :: ConstructorVariant -> ConstructorVariant -> Bool # (>) :: ConstructorVariant -> ConstructorVariant -> Bool # (>=) :: ConstructorVariant -> ConstructorVariant -> Bool # max :: ConstructorVariant -> ConstructorVariant -> ConstructorVariant # min :: ConstructorVariant -> ConstructorVariant -> ConstructorVariant #
Ord FieldStrictness
Instance details Defined in Language.Haskell.TH.Datatype Methods compare :: FieldStrictness -> FieldStrictness -> Ordering # (<) :: FieldStrictness -> FieldStrictness -> Bool # (<=) :: FieldStrictness -> FieldStrictness -> Bool # (>) :: FieldStrictness -> FieldStrictness -> Bool # (>=) :: FieldStrictness -> FieldStrictness -> Bool # max :: FieldStrictness -> FieldStrictness -> FieldStrictness # min :: FieldStrictness -> FieldStrictness -> FieldStrictness #
Ord Unpackedness
Instance details Defined in Language.Haskell.TH.Datatype Methods compare :: Unpackedness -> Unpackedness -> Ordering # (<) :: Unpackedness -> Unpackedness -> Bool # (<=) :: Unpackedness -> Unpackedness -> Bool # (>) :: Unpackedness -> Unpackedness -> Bool # (>=) :: Unpackedness -> Unpackedness -> Bool # max :: Unpackedness -> Unpackedness -> Unpackedness # min :: Unpackedness -> Unpackedness -> Unpackedness #
Ord Strictness
Instance details Defined in Language.Haskell.TH.Datatype Methods compare :: Strictness -> Strictness -> Ordering # (<) :: Strictness -> Strictness -> Bool # (<=) :: Strictness -> Strictness -> Bool # (>) :: Strictness -> Strictness -> Bool # (>=) :: Strictness -> Strictness -> Bool # max :: Strictness -> Strictness -> Strictness # min :: Strictness -> Strictness -> Strictness #
Ord LocalTime
Instance details Defined in Data.Time.LocalTime.Internal.LocalTime Methods compare :: LocalTime -> LocalTime -> Ordering # (<) :: LocalTime -> LocalTime -> Bool # (<=) :: LocalTime -> LocalTime -> Bool # (>) :: LocalTime -> LocalTime -> Bool # (>=) :: LocalTime -> LocalTime -> Bool # max :: LocalTime -> LocalTime -> LocalTime # min :: LocalTime -> LocalTime -> LocalTime #
Ord TimeOfDay
Instance details Defined in Data.Time.LocalTime.Internal.TimeOfDay Methods compare :: TimeOfDay -> TimeOfDay -> Ordering # (<) :: TimeOfDay -> TimeOfDay -> Bool # (<=) :: TimeOfDay -> TimeOfDay -> Bool # (>) :: TimeOfDay -> TimeOfDay -> Bool # (>=) :: TimeOfDay -> TimeOfDay -> Bool # max :: TimeOfDay -> TimeOfDay -> TimeOfDay # min :: TimeOfDay -> TimeOfDay -> TimeOfDay #
Ord TimeZone
Instance details Defined in Data.Time.LocalTime.Internal.TimeZone Methods compare :: TimeZone -> TimeZone -> Ordering # (<) :: TimeZone -> TimeZone -> Bool # (<=) :: TimeZone -> TimeZone -> Bool # (>) :: TimeZone -> TimeZone -> Bool # (>=) :: TimeZone -> TimeZone -> Bool # max :: TimeZone -> TimeZone -> TimeZone # min :: TimeZone -> TimeZone -> TimeZone #
Ord UniversalTime
Instance details Defined in Data.Time.Clock.Internal.UniversalTime Methods compare :: UniversalTime -> UniversalTime -> Ordering # (<) :: UniversalTime -> UniversalTime -> Bool # (<=) :: UniversalTime -> UniversalTime -> Bool # (>) :: UniversalTime -> UniversalTime -> Bool # (>=) :: UniversalTime -> UniversalTime -> Bool # max :: UniversalTime -> UniversalTime -> UniversalTime # min :: UniversalTime -> UniversalTime -> UniversalTime #
Ord Day
Instance details Defined in Data.Time.Calendar.Days Methods compare :: Day -> Day -> Ordering # (<) :: Day -> Day -> Bool # (<=) :: Day -> Day -> Bool # (>) :: Day -> Day -> Bool # (>=) :: Day -> Day -> Bool # max :: Day -> Day -> Day # min :: Day -> Day -> Day #
Ord UnpackedUUID
Instance details Defined in Data.UUID.Types.Internal Methods compare :: UnpackedUUID -> UnpackedUUID -> Ordering # (<) :: UnpackedUUID -> UnpackedUUID -> Bool # (<=) :: UnpackedUUID -> UnpackedUUID -> Bool # (>) :: UnpackedUUID -> UnpackedUUID -> Bool # (>=) :: UnpackedUUID -> UnpackedUUID -> Bool # max :: UnpackedUUID -> UnpackedUUID -> UnpackedUUID # min :: UnpackedUUID -> UnpackedUUID -> UnpackedUUID #
Ord UUID
Instance details Defined in Data.UUID.Types.Internal Methods compare :: UUID -> UUID -> Ordering # (<) :: UUID -> UUID -> Bool # (<=) :: UUID -> UUID -> Bool # (>) :: UUID -> UUID -> Bool # (>=) :: UUID -> UUID -> Bool # max :: UUID -> UUID -> UUID # min :: UUID -> UUID -> UUID #
Ord a => Ord [a]
Instance details Defined in GHC.Classes Methods compare :: [a] -> [a] -> Ordering # (<) :: [a] -> [a] -> Bool # (<=) :: [a] -> [a] -> Bool # (>) :: [a] -> [a] -> Bool # (>=) :: [a] -> [a] -> Bool # max :: [a] -> [a] -> [a] # min :: [a] -> [a] -> [a] #
Ord a => Ord (Maybe a)	Since: base-2.1
Instance details Defined in GHC.Maybe Methods compare :: Maybe a -> Maybe a -> Ordering # (<) :: Maybe a -> Maybe a -> Bool # (<=) :: Maybe a -> Maybe a -> Bool # (>) :: Maybe a -> Maybe a -> Bool # (>=) :: Maybe a -> Maybe a -> Bool # max :: Maybe a -> Maybe a -> Maybe a # min :: Maybe a -> Maybe a -> Maybe a #
Integral a => Ord (Ratio a)	Since: base-2.0.1
Instance details Defined in GHC.Real Methods compare :: Ratio a -> Ratio a -> Ordering # (<) :: Ratio a -> Ratio a -> Bool # (<=) :: Ratio a -> Ratio a -> Bool # (>) :: Ratio a -> Ratio a -> Bool # (>=) :: Ratio a -> Ratio a -> Bool # max :: Ratio a -> Ratio a -> Ratio a # min :: Ratio a -> Ratio a -> Ratio a #
Ord (Ptr a)	Since: base-2.1
Instance details Defined in GHC.Ptr Methods compare :: Ptr a -> Ptr a -> Ordering # (<) :: Ptr a -> Ptr a -> Bool # (<=) :: Ptr a -> Ptr a -> Bool # (>) :: Ptr a -> Ptr a -> Bool # (>=) :: Ptr a -> Ptr a -> Bool # max :: Ptr a -> Ptr a -> Ptr a # min :: Ptr a -> Ptr a -> Ptr a #
Ord (FunPtr a)
Instance details Defined in GHC.Ptr Methods compare :: FunPtr a -> FunPtr a -> Ordering # (<) :: FunPtr a -> FunPtr a -> Bool # (<=) :: FunPtr a -> FunPtr a -> Bool # (>) :: FunPtr a -> FunPtr a -> Bool # (>=) :: FunPtr a -> FunPtr a -> Bool # max :: FunPtr a -> FunPtr a -> FunPtr a # min :: FunPtr a -> FunPtr a -> FunPtr a #
Ord p => Ord (Par1 p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods compare :: Par1 p -> Par1 p -> Ordering # (<) :: Par1 p -> Par1 p -> Bool # (<=) :: Par1 p -> Par1 p -> Bool # (>) :: Par1 p -> Par1 p -> Bool # (>=) :: Par1 p -> Par1 p -> Bool # max :: Par1 p -> Par1 p -> Par1 p # min :: Par1 p -> Par1 p -> Par1 p #
Ord (Async a)
Instance details Defined in Control.Concurrent.Async Methods compare :: Async a -> Async a -> Ordering # (<) :: Async a -> Async a -> Bool # (<=) :: Async a -> Async a -> Bool # (>) :: Async a -> Async a -> Bool # (>=) :: Async a -> Async a -> Bool # max :: Async a -> Async a -> Async a # min :: Async a -> Async a -> Async a #
Ord a => Ord (Min a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods compare :: Min a -> Min a -> Ordering # (<) :: Min a -> Min a -> Bool # (<=) :: Min a -> Min a -> Bool # (>) :: Min a -> Min a -> Bool # (>=) :: Min a -> Min a -> Bool # max :: Min a -> Min a -> Min a # min :: Min a -> Min a -> Min a #
Ord a => Ord (Max a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods compare :: Max a -> Max a -> Ordering # (<) :: Max a -> Max a -> Bool # (<=) :: Max a -> Max a -> Bool # (>) :: Max a -> Max a -> Bool # (>=) :: Max a -> Max a -> Bool # max :: Max a -> Max a -> Max a # min :: Max a -> Max a -> Max a #
Ord a => Ord (First a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods compare :: First a -> First a -> Ordering # (<) :: First a -> First a -> Bool # (<=) :: First a -> First a -> Bool # (>) :: First a -> First a -> Bool # (>=) :: First a -> First a -> Bool # max :: First a -> First a -> First a # min :: First a -> First a -> First a #
Ord a => Ord (Last a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods compare :: Last a -> Last a -> Ordering # (<) :: Last a -> Last a -> Bool # (<=) :: Last a -> Last a -> Bool # (>) :: Last a -> Last a -> Bool # (>=) :: Last a -> Last a -> Bool # max :: Last a -> Last a -> Last a # min :: Last a -> Last a -> Last a #
Ord m => Ord (WrappedMonoid m)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods compare :: WrappedMonoid m -> WrappedMonoid m -> Ordering # (<) :: WrappedMonoid m -> WrappedMonoid m -> Bool # (<=) :: WrappedMonoid m -> WrappedMonoid m -> Bool # (>) :: WrappedMonoid m -> WrappedMonoid m -> Bool # (>=) :: WrappedMonoid m -> WrappedMonoid m -> Bool # max :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m # min :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m #
Ord a => Ord (Option a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods compare :: Option a -> Option a -> Ordering # (<) :: Option a -> Option a -> Bool # (<=) :: Option a -> Option a -> Bool # (>) :: Option a -> Option a -> Bool # (>=) :: Option a -> Option a -> Bool # max :: Option a -> Option a -> Option a # min :: Option a -> Option a -> Option a #
Ord a => Ord (ZipList a)	Since: base-4.7.0.0
Instance details Defined in Control.Applicative Methods compare :: ZipList a -> ZipList a -> Ordering # (<) :: ZipList a -> ZipList a -> Bool # (<=) :: ZipList a -> ZipList a -> Bool # (>) :: ZipList a -> ZipList a -> Bool # (>=) :: ZipList a -> ZipList a -> Bool # max :: ZipList a -> ZipList a -> ZipList a # min :: ZipList a -> ZipList a -> ZipList a #
Ord a => Ord (Identity a)	Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity Methods compare :: Identity a -> Identity a -> Ordering # (<) :: Identity a -> Identity a -> Bool # (<=) :: Identity a -> Identity a -> Bool # (>) :: Identity a -> Identity a -> Bool # (>=) :: Identity a -> Identity a -> Bool # max :: Identity a -> Identity a -> Identity a # min :: Identity a -> Identity a -> Identity a #
Ord a => Ord (First a)	Since: base-2.1
Instance details Defined in Data.Monoid Methods compare :: First a -> First a -> Ordering # (<) :: First a -> First a -> Bool # (<=) :: First a -> First a -> Bool # (>) :: First a -> First a -> Bool # (>=) :: First a -> First a -> Bool # max :: First a -> First a -> First a # min :: First a -> First a -> First a #
Ord a => Ord (Last a)	Since: base-2.1
Instance details Defined in Data.Monoid Methods compare :: Last a -> Last a -> Ordering # (<) :: Last a -> Last a -> Bool # (<=) :: Last a -> Last a -> Bool # (>) :: Last a -> Last a -> Bool # (>=) :: Last a -> Last a -> Bool # max :: Last a -> Last a -> Last a # min :: Last a -> Last a -> Last a #
Ord a => Ord (Dual a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods compare :: Dual a -> Dual a -> Ordering # (<) :: Dual a -> Dual a -> Bool # (<=) :: Dual a -> Dual a -> Bool # (>) :: Dual a -> Dual a -> Bool # (>=) :: Dual a -> Dual a -> Bool # max :: Dual a -> Dual a -> Dual a # min :: Dual a -> Dual a -> Dual a #
Ord a => Ord (Sum a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods compare :: Sum a -> Sum a -> Ordering # (<) :: Sum a -> Sum a -> Bool # (<=) :: Sum a -> Sum a -> Bool # (>) :: Sum a -> Sum a -> Bool # (>=) :: Sum a -> Sum a -> Bool # max :: Sum a -> Sum a -> Sum a # min :: Sum a -> Sum a -> Sum a #
Ord a => Ord (Product a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods compare :: Product a -> Product a -> Ordering # (<) :: Product a -> Product a -> Bool # (<=) :: Product a -> Product a -> Bool # (>) :: Product a -> Product a -> Bool # (>=) :: Product a -> Product a -> Bool # max :: Product a -> Product a -> Product a # min :: Product a -> Product a -> Product a #
Ord a => Ord (Down a)	Since: base-4.6.0.0
Instance details Defined in Data.Ord Methods compare :: Down a -> Down a -> Ordering # (<) :: Down a -> Down a -> Bool # (<=) :: Down a -> Down a -> Bool # (>) :: Down a -> Down a -> Bool # (>=) :: Down a -> Down a -> Bool # max :: Down a -> Down a -> Down a # min :: Down a -> Down a -> Down a #
Ord a => Ord (NonEmpty a)	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods compare :: NonEmpty a -> NonEmpty a -> Ordering # (<) :: NonEmpty a -> NonEmpty a -> Bool # (<=) :: NonEmpty a -> NonEmpty a -> Bool # (>) :: NonEmpty a -> NonEmpty a -> Bool # (>=) :: NonEmpty a -> NonEmpty a -> Bool # max :: NonEmpty a -> NonEmpty a -> NonEmpty a # min :: NonEmpty a -> NonEmpty a -> NonEmpty a #
Ord a => Ord (IntMap a)
Instance details Defined in Data.IntMap.Internal Methods compare :: IntMap a -> IntMap a -> Ordering # (<) :: IntMap a -> IntMap a -> Bool # (<=) :: IntMap a -> IntMap a -> Bool # (>) :: IntMap a -> IntMap a -> Bool # (>=) :: IntMap a -> IntMap a -> Bool # max :: IntMap a -> IntMap a -> IntMap a # min :: IntMap a -> IntMap a -> IntMap a #
Ord a => Ord (Seq a)
Instance details Defined in Data.Sequence.Internal Methods compare :: Seq a -> Seq a -> Ordering # (<) :: Seq a -> Seq a -> Bool # (<=) :: Seq a -> Seq a -> Bool # (>) :: Seq a -> Seq a -> Bool # (>=) :: Seq a -> Seq a -> Bool # max :: Seq a -> Seq a -> Seq a # min :: Seq a -> Seq a -> Seq a #
Ord a => Ord (ViewL a)
Instance details Defined in Data.Sequence.Internal Methods compare :: ViewL a -> ViewL a -> Ordering # (<) :: ViewL a -> ViewL a -> Bool # (<=) :: ViewL a -> ViewL a -> Bool # (>) :: ViewL a -> ViewL a -> Bool # (>=) :: ViewL a -> ViewL a -> Bool # max :: ViewL a -> ViewL a -> ViewL a # min :: ViewL a -> ViewL a -> ViewL a #
Ord a => Ord (ViewR a)
Instance details Defined in Data.Sequence.Internal Methods compare :: ViewR a -> ViewR a -> Ordering # (<) :: ViewR a -> ViewR a -> Bool # (<=) :: ViewR a -> ViewR a -> Bool # (>) :: ViewR a -> ViewR a -> Bool # (>=) :: ViewR a -> ViewR a -> Bool # max :: ViewR a -> ViewR a -> ViewR a # min :: ViewR a -> ViewR a -> ViewR a #
Ord a => Ord (Set a)
Instance details Defined in Data.Set.Internal Methods compare :: Set a -> Set a -> Ordering # (<) :: Set a -> Set a -> Bool # (<=) :: Set a -> Set a -> Bool # (>) :: Set a -> Set a -> Bool # (>=) :: Set a -> Set a -> Bool # max :: Set a -> Set a -> Set a # min :: Set a -> Set a -> Set a #
Ord a => Ord (DList a)
Instance details Defined in Data.DList Methods compare :: DList a -> DList a -> Ordering # (<) :: DList a -> DList a -> Bool # (<=) :: DList a -> DList a -> Bool # (>) :: DList a -> DList a -> Bool # (>=) :: DList a -> DList a -> Bool # max :: DList a -> DList a -> DList a # min :: DList a -> DList a -> DList a #
Ord a => Ord (Hashed a)
Instance details Defined in Data.Hashable.Class Methods compare :: Hashed a -> Hashed a -> Ordering # (<) :: Hashed a -> Hashed a -> Bool # (<=) :: Hashed a -> Hashed a -> Bool # (>) :: Hashed a -> Hashed a -> Bool # (>=) :: Hashed a -> Hashed a -> Bool # max :: Hashed a -> Hashed a -> Hashed a # min :: Hashed a -> Hashed a -> Hashed a #
(Prim a, Ord a) => Ord (Vector a)
Instance details Defined in Data.Vector.Primitive Methods compare :: Vector a -> Vector a -> Ordering # (<) :: Vector a -> Vector a -> Bool # (<=) :: Vector a -> Vector a -> Bool # (>) :: Vector a -> Vector a -> Bool # (>=) :: Vector a -> Vector a -> Bool # max :: Vector a -> Vector a -> Vector a # min :: Vector a -> Vector a -> Vector a #
(Storable a, Ord a) => Ord (Vector a)
Instance details Defined in Data.Vector.Storable Methods compare :: Vector a -> Vector a -> Ordering # (<) :: Vector a -> Vector a -> Bool # (<=) :: Vector a -> Vector a -> Bool # (>) :: Vector a -> Vector a -> Bool # (>=) :: Vector a -> Vector a -> Bool # max :: Vector a -> Vector a -> Vector a # min :: Vector a -> Vector a -> Vector a #
Ord a => Ord (HashSet a)
Instance details Defined in Data.HashSet Methods compare :: HashSet a -> HashSet a -> Ordering # (<) :: HashSet a -> HashSet a -> Bool # (<=) :: HashSet a -> HashSet a -> Bool # (>) :: HashSet a -> HashSet a -> Bool # (>=) :: HashSet a -> HashSet a -> Bool # max :: HashSet a -> HashSet a -> HashSet a # min :: HashSet a -> HashSet a -> HashSet a #
Ord a => Ord (Vector a)
Instance details Defined in Data.Vector Methods compare :: Vector a -> Vector a -> Ordering # (<) :: Vector a -> Vector a -> Bool # (<=) :: Vector a -> Vector a -> Bool # (>) :: Vector a -> Vector a -> Bool # (>=) :: Vector a -> Vector a -> Bool # max :: Vector a -> Vector a -> Vector a # min :: Vector a -> Vector a -> Vector a #
(Ord a, PrimUnlifted a) => Ord (UnliftedArray a)	Lexicographic ordering. Subject to change between major versions. Since: primitive-0.6.4.0
Instance details Defined in Data.Primitive.UnliftedArray Methods compare :: UnliftedArray a -> UnliftedArray a -> Ordering # (<) :: UnliftedArray a -> UnliftedArray a -> Bool # (<=) :: UnliftedArray a -> UnliftedArray a -> Bool # (>) :: UnliftedArray a -> UnliftedArray a -> Bool # (>=) :: UnliftedArray a -> UnliftedArray a -> Bool # max :: UnliftedArray a -> UnliftedArray a -> UnliftedArray a # min :: UnliftedArray a -> UnliftedArray a -> UnliftedArray a #
(Ord a, Prim a) => Ord (PrimArray a)	Lexicographic ordering. Subject to change between major versions. Since: primitive-0.6.4.0
Instance details Defined in Data.Primitive.PrimArray Methods compare :: PrimArray a -> PrimArray a -> Ordering # (<) :: PrimArray a -> PrimArray a -> Bool # (<=) :: PrimArray a -> PrimArray a -> Bool # (>) :: PrimArray a -> PrimArray a -> Bool # (>=) :: PrimArray a -> PrimArray a -> Bool # max :: PrimArray a -> PrimArray a -> PrimArray a # min :: PrimArray a -> PrimArray a -> PrimArray a #
Ord a => Ord (SmallArray a)	Lexicographic ordering. Subject to change between major versions.
Instance details Defined in Data.Primitive.SmallArray Methods compare :: SmallArray a -> SmallArray a -> Ordering # (<) :: SmallArray a -> SmallArray a -> Bool # (<=) :: SmallArray a -> SmallArray a -> Bool # (>) :: SmallArray a -> SmallArray a -> Bool # (>=) :: SmallArray a -> SmallArray a -> Bool # max :: SmallArray a -> SmallArray a -> SmallArray a # min :: SmallArray a -> SmallArray a -> SmallArray a #
Ord a => Ord (Array a)	Lexicographic ordering. Subject to change between major versions.
Instance details Defined in Data.Primitive.Array Methods compare :: Array a -> Array a -> Ordering # (<) :: Array a -> Array a -> Bool # (<=) :: Array a -> Array a -> Bool # (>) :: Array a -> Array a -> Bool # (>=) :: Array a -> Array a -> Bool # max :: Array a -> Array a -> Array a # min :: Array a -> Array a -> Array a #
(Ord a, Ord b) => Ord (Either a b)	Since: base-2.1
Instance details Defined in Data.Either Methods compare :: Either a b -> Either a b -> Ordering # (<) :: Either a b -> Either a b -> Bool # (<=) :: Either a b -> Either a b -> Bool # (>) :: Either a b -> Either a b -> Bool # (>=) :: Either a b -> Either a b -> Bool # max :: Either a b -> Either a b -> Either a b # min :: Either a b -> Either a b -> Either a b #
Ord (V1 p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods compare :: V1 p -> V1 p -> Ordering # (<) :: V1 p -> V1 p -> Bool # (<=) :: V1 p -> V1 p -> Bool # (>) :: V1 p -> V1 p -> Bool # (>=) :: V1 p -> V1 p -> Bool # max :: V1 p -> V1 p -> V1 p # min :: V1 p -> V1 p -> V1 p #
Ord (U1 p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods compare :: U1 p -> U1 p -> Ordering # (<) :: U1 p -> U1 p -> Bool # (<=) :: U1 p -> U1 p -> Bool # (>) :: U1 p -> U1 p -> Bool # (>=) :: U1 p -> U1 p -> Bool # max :: U1 p -> U1 p -> U1 p # min :: U1 p -> U1 p -> U1 p #
Ord (TypeRep a)	Since: base-4.4.0.0
Instance details Defined in Data.Typeable.Internal Methods compare :: TypeRep a -> TypeRep a -> Ordering # (<) :: TypeRep a -> TypeRep a -> Bool # (<=) :: TypeRep a -> TypeRep a -> Bool # (>) :: TypeRep a -> TypeRep a -> Bool # (>=) :: TypeRep a -> TypeRep a -> Bool # max :: TypeRep a -> TypeRep a -> TypeRep a # min :: TypeRep a -> TypeRep a -> TypeRep a #
(Ord a, Ord b) => Ord (a, b)
Instance details Defined in GHC.Classes Methods compare :: (a, b) -> (a, b) -> Ordering # (<) :: (a, b) -> (a, b) -> Bool # (<=) :: (a, b) -> (a, b) -> Bool # (>) :: (a, b) -> (a, b) -> Bool # (>=) :: (a, b) -> (a, b) -> Bool # max :: (a, b) -> (a, b) -> (a, b) # min :: (a, b) -> (a, b) -> (a, b) #
(Ord k, Ord v) => Ord (HashMap k v)	The order is total. Note: Because the hash is not guaranteed to be stable across library versions, OSes, or architectures, neither is an actual order of elements in `HashMap` or an result of `compare`.is stable.
Instance details Defined in Data.HashMap.Base Methods compare :: HashMap k v -> HashMap k v -> Ordering # (<) :: HashMap k v -> HashMap k v -> Bool # (<=) :: HashMap k v -> HashMap k v -> Bool # (>) :: HashMap k v -> HashMap k v -> Bool # (>=) :: HashMap k v -> HashMap k v -> Bool # max :: HashMap k v -> HashMap k v -> HashMap k v # min :: HashMap k v -> HashMap k v -> HashMap k v #
(Ord k, Ord v) => Ord (Map k v)
Instance details Defined in Data.Map.Internal Methods compare :: Map k v -> Map k v -> Ordering # (<) :: Map k v -> Map k v -> Bool # (<=) :: Map k v -> Map k v -> Bool # (>) :: Map k v -> Map k v -> Bool # (>=) :: Map k v -> Map k v -> Bool # max :: Map k v -> Map k v -> Map k v # min :: Map k v -> Map k v -> Map k v #
(Ix i, Ord e) => Ord (Array i e)	Since: base-2.1
Instance details Defined in GHC.Arr Methods compare :: Array i e -> Array i e -> Ordering # (<) :: Array i e -> Array i e -> Bool # (<=) :: Array i e -> Array i e -> Bool # (>) :: Array i e -> Array i e -> Bool # (>=) :: Array i e -> Array i e -> Bool # max :: Array i e -> Array i e -> Array i e # min :: Array i e -> Array i e -> Array i e #
Ord a => Ord (Arg a b)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods compare :: Arg a b -> Arg a b -> Ordering # (<) :: Arg a b -> Arg a b -> Bool # (<=) :: Arg a b -> Arg a b -> Bool # (>) :: Arg a b -> Arg a b -> Bool # (>=) :: Arg a b -> Arg a b -> Bool # max :: Arg a b -> Arg a b -> Arg a b # min :: Arg a b -> Arg a b -> Arg a b #
Ord (Proxy s)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods compare :: Proxy s -> Proxy s -> Ordering # (<) :: Proxy s -> Proxy s -> Bool # (<=) :: Proxy s -> Proxy s -> Bool # (>) :: Proxy s -> Proxy s -> Bool # (>=) :: Proxy s -> Proxy s -> Bool # max :: Proxy s -> Proxy s -> Proxy s # min :: Proxy s -> Proxy s -> Proxy s #
(Ord1 f, Ord a) => Ord (Cofree f a)
Instance details Defined in Control.Comonad.Cofree Methods compare :: Cofree f a -> Cofree f a -> Ordering # (<) :: Cofree f a -> Cofree f a -> Bool # (<=) :: Cofree f a -> Cofree f a -> Bool # (>) :: Cofree f a -> Cofree f a -> Bool # (>=) :: Cofree f a -> Cofree f a -> Bool # max :: Cofree f a -> Cofree f a -> Cofree f a # min :: Cofree f a -> Cofree f a -> Cofree f a #
(Ord1 f, Ord a) => Ord (Free f a)
Instance details Defined in Control.Monad.Free Methods compare :: Free f a -> Free f a -> Ordering # (<) :: Free f a -> Free f a -> Bool # (<=) :: Free f a -> Free f a -> Bool # (>) :: Free f a -> Free f a -> Bool # (>=) :: Free f a -> Free f a -> Bool # max :: Free f a -> Free f a -> Free f a # min :: Free f a -> Free f a -> Free f a #
(Ord1 f, Ord a) => Ord (Yoneda f a)
Instance details Defined in Data.Functor.Yoneda Methods compare :: Yoneda f a -> Yoneda f a -> Ordering # (<) :: Yoneda f a -> Yoneda f a -> Bool # (<=) :: Yoneda f a -> Yoneda f a -> Bool # (>) :: Yoneda f a -> Yoneda f a -> Bool # (>=) :: Yoneda f a -> Yoneda f a -> Bool # max :: Yoneda f a -> Yoneda f a -> Yoneda f a # min :: Yoneda f a -> Yoneda f a -> Yoneda f a #
Ord (f p) => Ord (Rec1 f p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods compare :: Rec1 f p -> Rec1 f p -> Ordering # (<) :: Rec1 f p -> Rec1 f p -> Bool # (<=) :: Rec1 f p -> Rec1 f p -> Bool # (>) :: Rec1 f p -> Rec1 f p -> Bool # (>=) :: Rec1 f p -> Rec1 f p -> Bool # max :: Rec1 f p -> Rec1 f p -> Rec1 f p # min :: Rec1 f p -> Rec1 f p -> Rec1 f p #
Ord (URec (Ptr ()) p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods compare :: URec (Ptr ()) p -> URec (Ptr ()) p -> Ordering # (<) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool # (<=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool # (>) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool # (>=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool # max :: URec (Ptr ()) p -> URec (Ptr ()) p -> URec (Ptr ()) p # min :: URec (Ptr ()) p -> URec (Ptr ()) p -> URec (Ptr ()) p #
Ord (URec Char p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods compare :: URec Char p -> URec Char p -> Ordering # (<) :: URec Char p -> URec Char p -> Bool # (<=) :: URec Char p -> URec Char p -> Bool # (>) :: URec Char p -> URec Char p -> Bool # (>=) :: URec Char p -> URec Char p -> Bool # max :: URec Char p -> URec Char p -> URec Char p # min :: URec Char p -> URec Char p -> URec Char p #
Ord (URec Double p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods compare :: URec Double p -> URec Double p -> Ordering # (<) :: URec Double p -> URec Double p -> Bool # (<=) :: URec Double p -> URec Double p -> Bool # (>) :: URec Double p -> URec Double p -> Bool # (>=) :: URec Double p -> URec Double p -> Bool # max :: URec Double p -> URec Double p -> URec Double p # min :: URec Double p -> URec Double p -> URec Double p #
Ord (URec Float p)
Instance details Defined in GHC.Generics Methods compare :: URec Float p -> URec Float p -> Ordering # (<) :: URec Float p -> URec Float p -> Bool # (<=) :: URec Float p -> URec Float p -> Bool # (>) :: URec Float p -> URec Float p -> Bool # (>=) :: URec Float p -> URec Float p -> Bool # max :: URec Float p -> URec Float p -> URec Float p # min :: URec Float p -> URec Float p -> URec Float p #
Ord (URec Int p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods compare :: URec Int p -> URec Int p -> Ordering # (<) :: URec Int p -> URec Int p -> Bool # (<=) :: URec Int p -> URec Int p -> Bool # (>) :: URec Int p -> URec Int p -> Bool # (>=) :: URec Int p -> URec Int p -> Bool # max :: URec Int p -> URec Int p -> URec Int p # min :: URec Int p -> URec Int p -> URec Int p #
Ord (URec Word p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods compare :: URec Word p -> URec Word p -> Ordering # (<) :: URec Word p -> URec Word p -> Bool # (<=) :: URec Word p -> URec Word p -> Bool # (>) :: URec Word p -> URec Word p -> Bool # (>=) :: URec Word p -> URec Word p -> Bool # max :: URec Word p -> URec Word p -> URec Word p # min :: URec Word p -> URec Word p -> URec Word p #
(Ord a, Ord b, Ord c) => Ord (a, b, c)
Instance details Defined in GHC.Classes Methods compare :: (a, b, c) -> (a, b, c) -> Ordering # (<) :: (a, b, c) -> (a, b, c) -> Bool # (<=) :: (a, b, c) -> (a, b, c) -> Bool # (>) :: (a, b, c) -> (a, b, c) -> Bool # (>=) :: (a, b, c) -> (a, b, c) -> Bool # max :: (a, b, c) -> (a, b, c) -> (a, b, c) # min :: (a, b, c) -> (a, b, c) -> (a, b, c) #
Ord a => Ord (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods compare :: Const a b -> Const a b -> Ordering # (<) :: Const a b -> Const a b -> Bool # (<=) :: Const a b -> Const a b -> Bool # (>) :: Const a b -> Const a b -> Bool # (>=) :: Const a b -> Const a b -> Bool # max :: Const a b -> Const a b -> Const a b # min :: Const a b -> Const a b -> Const a b #
Ord (f a) => Ord (Ap f a)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid Methods compare :: Ap f a -> Ap f a -> Ordering # (<) :: Ap f a -> Ap f a -> Bool # (<=) :: Ap f a -> Ap f a -> Bool # (>) :: Ap f a -> Ap f a -> Bool # (>=) :: Ap f a -> Ap f a -> Bool # max :: Ap f a -> Ap f a -> Ap f a # min :: Ap f a -> Ap f a -> Ap f a #
Ord (f a) => Ord (Alt f a)	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods compare :: Alt f a -> Alt f a -> Ordering # (<) :: Alt f a -> Alt f a -> Bool # (<=) :: Alt f a -> Alt f a -> Bool # (>) :: Alt f a -> Alt f a -> Bool # (>=) :: Alt f a -> Alt f a -> Bool # max :: Alt f a -> Alt f a -> Alt f a # min :: Alt f a -> Alt f a -> Alt f a #
Ord (Coercion a b)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Coercion Methods compare :: Coercion a b -> Coercion a b -> Ordering # (<) :: Coercion a b -> Coercion a b -> Bool # (<=) :: Coercion a b -> Coercion a b -> Bool # (>) :: Coercion a b -> Coercion a b -> Bool # (>=) :: Coercion a b -> Coercion a b -> Bool # max :: Coercion a b -> Coercion a b -> Coercion a b # min :: Coercion a b -> Coercion a b -> Coercion a b #
Ord (a :~: b)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Equality Methods compare :: (a :~: b) -> (a :~: b) -> Ordering # (<) :: (a :~: b) -> (a :~: b) -> Bool # (<=) :: (a :~: b) -> (a :~: b) -> Bool # (>) :: (a :~: b) -> (a :~: b) -> Bool # (>=) :: (a :~: b) -> (a :~: b) -> Bool # max :: (a :~: b) -> (a :~: b) -> a :~: b # min :: (a :~: b) -> (a :~: b) -> a :~: b #
Ord (p a a) => Ord (Join p a)
Instance details Defined in Data.Bifunctor.Join Methods compare :: Join p a -> Join p a -> Ordering # (<) :: Join p a -> Join p a -> Bool # (<=) :: Join p a -> Join p a -> Bool # (>) :: Join p a -> Join p a -> Bool # (>=) :: Join p a -> Join p a -> Bool # max :: Join p a -> Join p a -> Join p a # min :: Join p a -> Join p a -> Join p a #
Ord (p (Fix p a) a) => Ord (Fix p a)
Instance details Defined in Data.Bifunctor.Fix Methods compare :: Fix p a -> Fix p a -> Ordering # (<) :: Fix p a -> Fix p a -> Bool # (<=) :: Fix p a -> Fix p a -> Bool # (>) :: Fix p a -> Fix p a -> Bool # (>=) :: Fix p a -> Fix p a -> Bool # max :: Fix p a -> Fix p a -> Fix p a # min :: Fix p a -> Fix p a -> Fix p a #
(Ord e, Ord1 m, Ord a) => Ord (ExceptT e m a)
Instance details Defined in Control.Monad.Trans.Except Methods compare :: ExceptT e m a -> ExceptT e m a -> Ordering # (<) :: ExceptT e m a -> ExceptT e m a -> Bool # (<=) :: ExceptT e m a -> ExceptT e m a -> Bool # (>) :: ExceptT e m a -> ExceptT e m a -> Bool # (>=) :: ExceptT e m a -> ExceptT e m a -> Bool # max :: ExceptT e m a -> ExceptT e m a -> ExceptT e m a # min :: ExceptT e m a -> ExceptT e m a -> ExceptT e m a #
(Ord a, Ord (f b)) => Ord (FreeF f a b)
Instance details Defined in Control.Monad.Trans.Free Methods compare :: FreeF f a b -> FreeF f a b -> Ordering # (<) :: FreeF f a b -> FreeF f a b -> Bool # (<=) :: FreeF f a b -> FreeF f a b -> Bool # (>) :: FreeF f a b -> FreeF f a b -> Bool # (>=) :: FreeF f a b -> FreeF f a b -> Bool # max :: FreeF f a b -> FreeF f a b -> FreeF f a b # min :: FreeF f a b -> FreeF f a b -> FreeF f a b #
(Ord1 f, Ord1 m, Ord a) => Ord (FreeT f m a)
Instance details Defined in Control.Monad.Trans.Free Methods compare :: FreeT f m a -> FreeT f m a -> Ordering # (<) :: FreeT f m a -> FreeT f m a -> Bool # (<=) :: FreeT f m a -> FreeT f m a -> Bool # (>) :: FreeT f m a -> FreeT f m a -> Bool # (>=) :: FreeT f m a -> FreeT f m a -> Bool # max :: FreeT f m a -> FreeT f m a -> FreeT f m a # min :: FreeT f m a -> FreeT f m a -> FreeT f m a #
(Ord a, Ord (f b)) => Ord (CofreeF f a b)
Instance details Defined in Control.Comonad.Trans.Cofree Methods compare :: CofreeF f a b -> CofreeF f a b -> Ordering # (<) :: CofreeF f a b -> CofreeF f a b -> Bool # (<=) :: CofreeF f a b -> CofreeF f a b -> Bool # (>) :: CofreeF f a b -> CofreeF f a b -> Bool # (>=) :: CofreeF f a b -> CofreeF f a b -> Bool # max :: CofreeF f a b -> CofreeF f a b -> CofreeF f a b # min :: CofreeF f a b -> CofreeF f a b -> CofreeF f a b #
Ord (w (CofreeF f a (CofreeT f w a))) => Ord (CofreeT f w a)
Instance details Defined in Control.Comonad.Trans.Cofree Methods compare :: CofreeT f w a -> CofreeT f w a -> Ordering # (<) :: CofreeT f w a -> CofreeT f w a -> Bool # (<=) :: CofreeT f w a -> CofreeT f w a -> Bool # (>) :: CofreeT f w a -> CofreeT f w a -> Bool # (>=) :: CofreeT f w a -> CofreeT f w a -> Bool # max :: CofreeT f w a -> CofreeT f w a -> CofreeT f w a # min :: CofreeT f w a -> CofreeT f w a -> CofreeT f w a #
(Ord e, Ord1 m, Ord a) => Ord (ErrorT e m a)
Instance details Defined in Control.Monad.Trans.Error Methods compare :: ErrorT e m a -> ErrorT e m a -> Ordering # (<) :: ErrorT e m a -> ErrorT e m a -> Bool # (<=) :: ErrorT e m a -> ErrorT e m a -> Bool # (>) :: ErrorT e m a -> ErrorT e m a -> Bool # (>=) :: ErrorT e m a -> ErrorT e m a -> Bool # max :: ErrorT e m a -> ErrorT e m a -> ErrorT e m a # min :: ErrorT e m a -> ErrorT e m a -> ErrorT e m a #
Ord b => Ord (Tagged s b)
Instance details Defined in Data.Tagged Methods compare :: Tagged s b -> Tagged s b -> Ordering # (<) :: Tagged s b -> Tagged s b -> Bool # (<=) :: Tagged s b -> Tagged s b -> Bool # (>) :: Tagged s b -> Tagged s b -> Bool # (>=) :: Tagged s b -> Tagged s b -> Bool # max :: Tagged s b -> Tagged s b -> Tagged s b # min :: Tagged s b -> Tagged s b -> Tagged s b #
Ord c => Ord (K1 i c p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods compare :: K1 i c p -> K1 i c p -> Ordering # (<) :: K1 i c p -> K1 i c p -> Bool # (<=) :: K1 i c p -> K1 i c p -> Bool # (>) :: K1 i c p -> K1 i c p -> Bool # (>=) :: K1 i c p -> K1 i c p -> Bool # max :: K1 i c p -> K1 i c p -> K1 i c p # min :: K1 i c p -> K1 i c p -> K1 i c p #
(Ord (f p), Ord (g p)) => Ord ((f :+: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods compare :: (f :+: g) p -> (f :+: g) p -> Ordering # (<) :: (f :+: g) p -> (f :+: g) p -> Bool # (<=) :: (f :+: g) p -> (f :+: g) p -> Bool # (>) :: (f :+: g) p -> (f :+: g) p -> Bool # (>=) :: (f :+: g) p -> (f :+: g) p -> Bool # max :: (f :+: g) p -> (f :+: g) p -> (f :+: g) p # min :: (f :+: g) p -> (f :+: g) p -> (f :+: g) p #
(Ord (f p), Ord (g p)) => Ord ((f :*: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods compare :: (f :: g) p -> (f :: g) p -> Ordering # (<) :: (f :: g) p -> (f :: g) p -> Bool # (<=) :: (f :: g) p -> (f :: g) p -> Bool # (>) :: (f :: g) p -> (f :: g) p -> Bool # (>=) :: (f :: g) p -> (f :: g) p -> Bool # max :: (f :: g) p -> (f :: g) p -> (f :: g) p # min :: (f :: g) p -> (f :: g) p -> (f :: g) p #
(Ord a, Ord b, Ord c, Ord d) => Ord (a, b, c, d)
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d) -> (a, b, c, d) -> Ordering # (<) :: (a, b, c, d) -> (a, b, c, d) -> Bool # (<=) :: (a, b, c, d) -> (a, b, c, d) -> Bool # (>) :: (a, b, c, d) -> (a, b, c, d) -> Bool # (>=) :: (a, b, c, d) -> (a, b, c, d) -> Bool # max :: (a, b, c, d) -> (a, b, c, d) -> (a, b, c, d) # min :: (a, b, c, d) -> (a, b, c, d) -> (a, b, c, d) #
Ord (a :~~: b)	Since: base-4.10.0.0
Instance details Defined in Data.Type.Equality Methods compare :: (a :~~: b) -> (a :~~: b) -> Ordering # (<) :: (a :~~: b) -> (a :~~: b) -> Bool # (<=) :: (a :~~: b) -> (a :~~: b) -> Bool # (>) :: (a :~~: b) -> (a :~~: b) -> Bool # (>=) :: (a :~~: b) -> (a :~~: b) -> Bool # max :: (a :~~: b) -> (a :~~: b) -> a :~~: b # min :: (a :~~: b) -> (a :~~: b) -> a :~~: b #
Ord (f p) => Ord (M1 i c f p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods compare :: M1 i c f p -> M1 i c f p -> Ordering # (<) :: M1 i c f p -> M1 i c f p -> Bool # (<=) :: M1 i c f p -> M1 i c f p -> Bool # (>) :: M1 i c f p -> M1 i c f p -> Bool # (>=) :: M1 i c f p -> M1 i c f p -> Bool # max :: M1 i c f p -> M1 i c f p -> M1 i c f p # min :: M1 i c f p -> M1 i c f p -> M1 i c f p #
Ord (f (g p)) => Ord ((f :.: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods compare :: (f :.: g) p -> (f :.: g) p -> Ordering # (<) :: (f :.: g) p -> (f :.: g) p -> Bool # (<=) :: (f :.: g) p -> (f :.: g) p -> Bool # (>) :: (f :.: g) p -> (f :.: g) p -> Bool # (>=) :: (f :.: g) p -> (f :.: g) p -> Bool # max :: (f :.: g) p -> (f :.: g) p -> (f :.: g) p # min :: (f :.: g) p -> (f :.: g) p -> (f :.: g) p #
(Ord a, Ord b, Ord c, Ord d, Ord e) => Ord (a, b, c, d, e)
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e) -> (a, b, c, d, e) -> Ordering # (<) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool # (<=) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool # (>) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool # (>=) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool # max :: (a, b, c, d, e) -> (a, b, c, d, e) -> (a, b, c, d, e) # min :: (a, b, c, d, e) -> (a, b, c, d, e) -> (a, b, c, d, e) #
Ord (p a b) => Ord (WrappedBifunctor p a b)
Instance details Defined in Data.Bifunctor.Wrapped Methods compare :: WrappedBifunctor p a b -> WrappedBifunctor p a b -> Ordering # (<) :: WrappedBifunctor p a b -> WrappedBifunctor p a b -> Bool # (<=) :: WrappedBifunctor p a b -> WrappedBifunctor p a b -> Bool # (>) :: WrappedBifunctor p a b -> WrappedBifunctor p a b -> Bool # (>=) :: WrappedBifunctor p a b -> WrappedBifunctor p a b -> Bool # max :: WrappedBifunctor p a b -> WrappedBifunctor p a b -> WrappedBifunctor p a b # min :: WrappedBifunctor p a b -> WrappedBifunctor p a b -> WrappedBifunctor p a b #
Ord (g b) => Ord (Joker g a b)
Instance details Defined in Data.Bifunctor.Joker Methods compare :: Joker g a b -> Joker g a b -> Ordering # (<) :: Joker g a b -> Joker g a b -> Bool # (<=) :: Joker g a b -> Joker g a b -> Bool # (>) :: Joker g a b -> Joker g a b -> Bool # (>=) :: Joker g a b -> Joker g a b -> Bool # max :: Joker g a b -> Joker g a b -> Joker g a b # min :: Joker g a b -> Joker g a b -> Joker g a b #
Ord (p b a) => Ord (Flip p a b)
Instance details Defined in Data.Bifunctor.Flip Methods compare :: Flip p a b -> Flip p a b -> Ordering # (<) :: Flip p a b -> Flip p a b -> Bool # (<=) :: Flip p a b -> Flip p a b -> Bool # (>) :: Flip p a b -> Flip p a b -> Bool # (>=) :: Flip p a b -> Flip p a b -> Bool # max :: Flip p a b -> Flip p a b -> Flip p a b # min :: Flip p a b -> Flip p a b -> Flip p a b #
Ord (f a) => Ord (Clown f a b)
Instance details Defined in Data.Bifunctor.Clown Methods compare :: Clown f a b -> Clown f a b -> Ordering # (<) :: Clown f a b -> Clown f a b -> Bool # (<=) :: Clown f a b -> Clown f a b -> Bool # (>) :: Clown f a b -> Clown f a b -> Bool # (>=) :: Clown f a b -> Clown f a b -> Bool # max :: Clown f a b -> Clown f a b -> Clown f a b # min :: Clown f a b -> Clown f a b -> Clown f a b #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f) => Ord (a, b, c, d, e, f)
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Ordering # (<) :: (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 # (>) :: (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 # max :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> (a, b, c, d, e, f) # min :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> (a, b, c, d, e, f) #
(Ord (p a b), Ord (q a b)) => Ord (Sum p q a b)
Instance details Defined in Data.Bifunctor.Sum Methods compare :: Sum p q a b -> Sum p q a b -> Ordering # (<) :: Sum p q a b -> Sum p q a b -> Bool # (<=) :: Sum p q a b -> Sum p q a b -> Bool # (>) :: Sum p q a b -> Sum p q a b -> Bool # (>=) :: Sum p q a b -> Sum p q a b -> Bool # max :: Sum p q a b -> Sum p q a b -> Sum p q a b # min :: Sum p q a b -> Sum p q a b -> Sum p q a b #
(Ord (f a b), Ord (g a b)) => Ord (Product f g a b)
Instance details Defined in Data.Bifunctor.Product Methods compare :: Product f g a b -> Product f g a b -> Ordering # (<) :: Product f g a b -> Product f g a b -> Bool # (<=) :: Product f g a b -> Product f g a b -> Bool # (>) :: Product f g a b -> Product f g a b -> Bool # (>=) :: Product f g a b -> Product f g a b -> Bool # max :: Product f g a b -> Product f g a b -> Product f g a b # min :: Product f g a b -> Product f g a b -> Product f g a b #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g) => Ord (a, b, c, d, e, f, g)
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Ordering # (<) :: (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 # (>) :: (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 # max :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) # min :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) #
Ord (f (p a b)) => Ord (Tannen f p a b)
Instance details Defined in Data.Bifunctor.Tannen Methods compare :: Tannen f p a b -> Tannen f p a b -> Ordering # (<) :: Tannen f p a b -> Tannen f p a b -> Bool # (<=) :: Tannen f p a b -> Tannen f p a b -> Bool # (>) :: Tannen f p a b -> Tannen f p a b -> Bool # (>=) :: Tannen f p a b -> Tannen f p a b -> Bool # max :: Tannen f p a b -> Tannen f p a b -> Tannen f p a b # min :: Tannen f p a b -> Tannen f p a b -> Tannen f p a b #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h) => Ord (a, b, c, d, e, f, g, h)
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Ordering # (<) :: (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 # (>) :: (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 # max :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) # min :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i) => Ord (a, b, c, d, e, f, g, h, i)
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Ordering # (<) :: (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 # (>) :: (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 # max :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) # min :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) #
Ord (p (f a) (g b)) => Ord (Biff p f g a b)
Instance details Defined in Data.Bifunctor.Biff Methods compare :: Biff p f g a b -> Biff p f g a b -> Ordering # (<) :: Biff p f g a b -> Biff p f g a b -> Bool # (<=) :: Biff p f g a b -> Biff p f g a b -> Bool # (>) :: Biff p f g a b -> Biff p f g a b -> Bool # (>=) :: Biff p f g a b -> Biff p f g a b -> Bool # max :: Biff p f g a b -> Biff p f g a b -> Biff p f g a b # min :: Biff p f g a b -> Biff p f g a b -> Biff p f g a b #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j) => Ord (a, b, c, d, e, f, g, h, i, j)
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Ordering # (<) :: (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 # (>) :: (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 # max :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) # min :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k) => Ord (a, b, c, d, e, f, g, h, i, j, k)
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Ordering # (<) :: (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 # (>) :: (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 # max :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) # min :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k, Ord l) => Ord (a, b, c, d, e, f, g, h, i, j, k, l)
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Ordering # (<) :: (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 # (>) :: (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 # max :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) # min :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k, Ord l, Ord m) => Ord (a, b, c, d, e, f, g, h, i, j, k, l, m)
Instance details Defined in GHC.Classes Methods compare :: (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) -> Ordering # (<) :: (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 # (>) :: (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 # max :: (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) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) # min :: (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) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k, Ord l, Ord m, Ord n) => Ord (a, b, c, d, e, f, g, h, i, j, k, l, m, n)
Instance details Defined in GHC.Classes Methods compare :: (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) -> Ordering # (<) :: (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 # (>) :: (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 # max :: (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) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) # min :: (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) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k, Ord l, Ord m, Ord n, Ord o) => Ord (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)
Instance details Defined in GHC.Classes Methods compare :: (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) -> Ordering # (<) :: (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 # (>) :: (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 # max :: (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) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) # min :: (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) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) #

class Read a #

Parsing of Strings, producing values.

Derived instances of Read make the following assumptions, which derived instances of Show obey:

If the constructor is defined to be an infix operator, then the derived Read instance will parse only infix applications of the constructor (not the prefix form).
Associativity is not used to reduce the occurrence of parentheses, although precedence may be.
If the constructor is defined using record syntax, the derived Read will parse only the record-syntax form, and furthermore, the fields must be given in the same order as the original declaration.
The derived Read instance allows arbitrary Haskell whitespace between tokens of the input string. Extra parentheses are also allowed.

For example, given the declarations

infixr 5 :^:
data Tree a =  Leaf a  |  Tree a :^: Tree a

the derived instance of Read in Haskell 2010 is equivalent to

instance (Read a) => Read (Tree a) where

        readsPrec d r =  readParen (d > app_prec)
                         (\r -> [(Leaf m,t) |
                                 ("Leaf",s) <- lex r,
                                 (m,t) <- readsPrec (app_prec+1) s]) r

                      ++ readParen (d > up_prec)
                         (\r -> [(u:^:v,w) |
                                 (u,s) <- readsPrec (up_prec+1) r,
                                 (":^:",t) <- lex s,
                                 (v,w) <- readsPrec (up_prec+1) t]) r

          where app_prec = 10
                up_prec = 5

Note that right-associativity of :^: is unused.

The derived instance in GHC is equivalent to

instance (Read a) => Read (Tree a) where

        readPrec = parens $ (prec app_prec $ do
                                 Ident "Leaf" <- lexP
                                 m <- step readPrec
                                 return (Leaf m))

                     +++ (prec up_prec $ do
                                 u <- step readPrec
                                 Symbol ":^:" <- lexP
                                 v <- step readPrec
                                 return (u :^: v))

          where app_prec = 10
                up_prec = 5

        readListPrec = readListPrecDefault

Why do both readsPrec and readPrec exist, and why does GHC opt to implement readPrec in derived Read instances instead of readsPrec? The reason is that readsPrec is based on the ReadS type, and although ReadS is mentioned in the Haskell 2010 Report, it is not a very efficient parser data structure.

readPrec, on the other hand, is based on a much more efficient ReadPrec datatype (a.k.a "new-style parsers"), but its definition relies on the use of the RankNTypes language extension. Therefore, readPrec (and its cousin, readListPrec) are marked as GHC-only. Nevertheless, it is recommended to use readPrec instead of readsPrec whenever possible for the efficiency improvements it brings.

As mentioned above, derived Read instances in GHC will implement readPrec instead of readsPrec. The default implementations of readsPrec (and its cousin, readList) will simply use readPrec under the hood. If you are writing a Read instance by hand, it is recommended to write it like so:

instance Read T where
  readPrec     = ...
  readListPrec = readListPrecDefault

Minimal complete definition

readsPrec | readPrec

Instances

Read Bool	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Bool # readList :: ReadS [Bool] # readPrec :: ReadPrec Bool # readListPrec :: ReadPrec [Bool] #
Read Char	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Char # readList :: ReadS [Char] # readPrec :: ReadPrec Char # readListPrec :: ReadPrec [Char] #
Read Double	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Double # readList :: ReadS [Double] # readPrec :: ReadPrec Double # readListPrec :: ReadPrec [Double] #
Read Float	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Float # readList :: ReadS [Float] # readPrec :: ReadPrec Float # readListPrec :: ReadPrec [Float] #
Read Int	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Int # readList :: ReadS [Int] # readPrec :: ReadPrec Int # readListPrec :: ReadPrec [Int] #
Read Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods readsPrec :: Int -> ReadS Int8 # readList :: ReadS [Int8] # readPrec :: ReadPrec Int8 # readListPrec :: ReadPrec [Int8] #
Read Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods readsPrec :: Int -> ReadS Int16 # readList :: ReadS [Int16] # readPrec :: ReadPrec Int16 # readListPrec :: ReadPrec [Int16] #
Read Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods readsPrec :: Int -> ReadS Int32 # readList :: ReadS [Int32] # readPrec :: ReadPrec Int32 # readListPrec :: ReadPrec [Int32] #
Read Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods readsPrec :: Int -> ReadS Int64 # readList :: ReadS [Int64] # readPrec :: ReadPrec Int64 # readListPrec :: ReadPrec [Int64] #
Read Integer	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Integer # readList :: ReadS [Integer] # readPrec :: ReadPrec Integer # readListPrec :: ReadPrec [Integer] #
Read Natural	Since: base-4.8.0.0
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Natural # readList :: ReadS [Natural] # readPrec :: ReadPrec Natural # readListPrec :: ReadPrec [Natural] #
Read Ordering	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Ordering # readList :: ReadS [Ordering] # readPrec :: ReadPrec Ordering # readListPrec :: ReadPrec [Ordering] #
Read Word	Since: base-4.5.0.0
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Word # readList :: ReadS [Word] # readPrec :: ReadPrec Word # readListPrec :: ReadPrec [Word] #
Read Word8	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Word8 # readList :: ReadS [Word8] # readPrec :: ReadPrec Word8 # readListPrec :: ReadPrec [Word8] #
Read Word16	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Word16 # readList :: ReadS [Word16] # readPrec :: ReadPrec Word16 # readListPrec :: ReadPrec [Word16] #
Read Word32	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Word32 # readList :: ReadS [Word32] # readPrec :: ReadPrec Word32 # readListPrec :: ReadPrec [Word32] #
Read Word64	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Word64 # readList :: ReadS [Word64] # readPrec :: ReadPrec Word64 # readListPrec :: ReadPrec [Word64] #
Read ()	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS () # readList :: ReadS [()] # readPrec :: ReadPrec () # readListPrec :: ReadPrec [()] #
Read StdGen
Instance details Defined in System.Random Methods readsPrec :: Int -> ReadS StdGen # readList :: ReadS [StdGen] # readPrec :: ReadPrec StdGen # readListPrec :: ReadPrec [StdGen] #
Read ByteString
Instance details Defined in Data.ByteString.Internal Methods readsPrec :: Int -> ReadS ByteString # readList :: ReadS [ByteString] # readPrec :: ReadPrec ByteString # readListPrec :: ReadPrec [ByteString] #
Read ByteString
Instance details Defined in Data.ByteString.Lazy.Internal Methods readsPrec :: Int -> ReadS ByteString # readList :: ReadS [ByteString] # readPrec :: ReadPrec ByteString # readListPrec :: ReadPrec [ByteString] #
Read Scientific	Supports the skipping of parentheses and whitespaces. Example: > read " ( (( -1.0e+3 ) ))" :: Scientific -1000.0 (Note: This `Read` instance makes internal use of `scientificP` to parse the floating-point number.)
Instance details Defined in Data.Scientific Methods readsPrec :: Int -> ReadS Scientific # readList :: ReadS [Scientific] # readPrec :: ReadPrec Scientific # readListPrec :: ReadPrec [Scientific] #
Read Value
Instance details Defined in Data.Aeson.Types.Internal Methods readsPrec :: Int -> ReadS Value # readList :: ReadS [Value] # readPrec :: ReadPrec Value # readListPrec :: ReadPrec [Value] #
Read DotNetTime
Instance details Defined in Data.Aeson.Types.Internal Methods readsPrec :: Int -> ReadS DotNetTime # readList :: ReadS [DotNetTime] # readPrec :: ReadPrec DotNetTime # readListPrec :: ReadPrec [DotNetTime] #
Read Void	Reading a `Void` value is always a parse error, considering `Void` as a data type with no constructors. Since: base-4.8.0.0
Instance details Defined in Data.Void Methods readsPrec :: Int -> ReadS Void # readList :: ReadS [Void] # readPrec :: ReadPrec Void # readListPrec :: ReadPrec [Void] #
Read CDev
Instance details Defined in System.Posix.Types Methods readsPrec :: Int -> ReadS CDev # readList :: ReadS [CDev] # readPrec :: ReadPrec CDev # readListPrec :: ReadPrec [CDev] #
Read CIno
Instance details Defined in System.Posix.Types Methods readsPrec :: Int -> ReadS CIno # readList :: ReadS [CIno] # readPrec :: ReadPrec CIno # readListPrec :: ReadPrec [CIno] #
Read CMode
Instance details Defined in System.Posix.Types Methods readsPrec :: Int -> ReadS CMode # readList :: ReadS [CMode] # readPrec :: ReadPrec CMode # readListPrec :: ReadPrec [CMode] #
Read COff
Instance details Defined in System.Posix.Types Methods readsPrec :: Int -> ReadS COff # readList :: ReadS [COff] # readPrec :: ReadPrec COff # readListPrec :: ReadPrec [COff] #
Read CPid
Instance details Defined in System.Posix.Types Methods readsPrec :: Int -> ReadS CPid # readList :: ReadS [CPid] # readPrec :: ReadPrec CPid # readListPrec :: ReadPrec [CPid] #
Read CSsize
Instance details Defined in System.Posix.Types Methods readsPrec :: Int -> ReadS CSsize # readList :: ReadS [CSsize] # readPrec :: ReadPrec CSsize # readListPrec :: ReadPrec [CSsize] #
Read CGid
Instance details Defined in System.Posix.Types Methods readsPrec :: Int -> ReadS CGid # readList :: ReadS [CGid] # readPrec :: ReadPrec CGid # readListPrec :: ReadPrec [CGid] #
Read CNlink
Instance details Defined in System.Posix.Types Methods readsPrec :: Int -> ReadS CNlink # readList :: ReadS [CNlink] # readPrec :: ReadPrec CNlink # readListPrec :: ReadPrec [CNlink] #
Read CUid
Instance details Defined in System.Posix.Types Methods readsPrec :: Int -> ReadS CUid # readList :: ReadS [CUid] # readPrec :: ReadPrec CUid # readListPrec :: ReadPrec [CUid] #
Read CCc
Instance details Defined in System.Posix.Types Methods readsPrec :: Int -> ReadS CCc # readList :: ReadS [CCc] # readPrec :: ReadPrec CCc # readListPrec :: ReadPrec [CCc] #
Read CSpeed
Instance details Defined in System.Posix.Types Methods readsPrec :: Int -> ReadS CSpeed # readList :: ReadS [CSpeed] # readPrec :: ReadPrec CSpeed # readListPrec :: ReadPrec [CSpeed] #
Read CTcflag
Instance details Defined in System.Posix.Types Methods readsPrec :: Int -> ReadS CTcflag # readList :: ReadS [CTcflag] # readPrec :: ReadPrec CTcflag # readListPrec :: ReadPrec [CTcflag] #
Read CRLim
Instance details Defined in System.Posix.Types Methods readsPrec :: Int -> ReadS CRLim # readList :: ReadS [CRLim] # readPrec :: ReadPrec CRLim # readListPrec :: ReadPrec [CRLim] #
Read CBlkSize
Instance details Defined in System.Posix.Types Methods readsPrec :: Int -> ReadS CBlkSize # readList :: ReadS [CBlkSize] # readPrec :: ReadPrec CBlkSize # readListPrec :: ReadPrec [CBlkSize] #
Read CBlkCnt
Instance details Defined in System.Posix.Types Methods readsPrec :: Int -> ReadS CBlkCnt # readList :: ReadS [CBlkCnt] # readPrec :: ReadPrec CBlkCnt # readListPrec :: ReadPrec [CBlkCnt] #
Read CClockId
Instance details Defined in System.Posix.Types Methods readsPrec :: Int -> ReadS CClockId # readList :: ReadS [CClockId] # readPrec :: ReadPrec CClockId # readListPrec :: ReadPrec [CClockId] #
Read CFsBlkCnt
Instance details Defined in System.Posix.Types Methods readsPrec :: Int -> ReadS CFsBlkCnt # readList :: ReadS [CFsBlkCnt] # readPrec :: ReadPrec CFsBlkCnt # readListPrec :: ReadPrec [CFsBlkCnt] #
Read CFsFilCnt
Instance details Defined in System.Posix.Types Methods readsPrec :: Int -> ReadS CFsFilCnt # readList :: ReadS [CFsFilCnt] # readPrec :: ReadPrec CFsFilCnt # readListPrec :: ReadPrec [CFsFilCnt] #
Read CId
Instance details Defined in System.Posix.Types Methods readsPrec :: Int -> ReadS CId # readList :: ReadS [CId] # readPrec :: ReadPrec CId # readListPrec :: ReadPrec [CId] #
Read CKey
Instance details Defined in System.Posix.Types Methods readsPrec :: Int -> ReadS CKey # readList :: ReadS [CKey] # readPrec :: ReadPrec CKey # readListPrec :: ReadPrec [CKey] #
Read Fd
Instance details Defined in System.Posix.Types Methods readsPrec :: Int -> ReadS Fd # readList :: ReadS [Fd] # readPrec :: ReadPrec Fd # readListPrec :: ReadPrec [Fd] #
Read ExitCode
Instance details Defined in GHC.IO.Exception Methods readsPrec :: Int -> ReadS ExitCode # readList :: ReadS [ExitCode] # readPrec :: ReadPrec ExitCode # readListPrec :: ReadPrec [ExitCode] #
Read BufferMode	Since: base-4.2.0.0
Instance details Defined in GHC.IO.Handle.Types Methods readsPrec :: Int -> ReadS BufferMode # readList :: ReadS [BufferMode] # readPrec :: ReadPrec BufferMode # readListPrec :: ReadPrec [BufferMode] #
Read Newline	Since: base-4.3.0.0
Instance details Defined in GHC.IO.Handle.Types Methods readsPrec :: Int -> ReadS Newline # readList :: ReadS [Newline] # readPrec :: ReadPrec Newline # readListPrec :: ReadPrec [Newline] #
Read NewlineMode	Since: base-4.3.0.0
Instance details Defined in GHC.IO.Handle.Types Methods readsPrec :: Int -> ReadS NewlineMode # readList :: ReadS [NewlineMode] # readPrec :: ReadPrec NewlineMode # readListPrec :: ReadPrec [NewlineMode] #
Read All	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods readsPrec :: Int -> ReadS All # readList :: ReadS [All] # readPrec :: ReadPrec All # readListPrec :: ReadPrec [All] #
Read Any	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods readsPrec :: Int -> ReadS Any # readList :: ReadS [Any] # readPrec :: ReadPrec Any # readListPrec :: ReadPrec [Any] #
Read Fixity	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Methods readsPrec :: Int -> ReadS Fixity # readList :: ReadS [Fixity] # readPrec :: ReadPrec Fixity # readListPrec :: ReadPrec [Fixity] #
Read Associativity	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Methods readsPrec :: Int -> ReadS Associativity # readList :: ReadS [Associativity] # readPrec :: ReadPrec Associativity # readListPrec :: ReadPrec [Associativity] #
Read SourceUnpackedness	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods readsPrec :: Int -> ReadS SourceUnpackedness # readList :: ReadS [SourceUnpackedness] # readPrec :: ReadPrec SourceUnpackedness # readListPrec :: ReadPrec [SourceUnpackedness] #
Read SourceStrictness	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods readsPrec :: Int -> ReadS SourceStrictness # readList :: ReadS [SourceStrictness] # readPrec :: ReadPrec SourceStrictness # readListPrec :: ReadPrec [SourceStrictness] #
Read DecidedStrictness	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods readsPrec :: Int -> ReadS DecidedStrictness # readList :: ReadS [DecidedStrictness] # readPrec :: ReadPrec DecidedStrictness # readListPrec :: ReadPrec [DecidedStrictness] #
Read SomeSymbol	Since: base-4.7.0.0
Instance details Defined in GHC.TypeLits Methods readsPrec :: Int -> ReadS SomeSymbol # readList :: ReadS [SomeSymbol] # readPrec :: ReadPrec SomeSymbol # readListPrec :: ReadPrec [SomeSymbol] #
Read SomeNat	Since: base-4.7.0.0
Instance details Defined in GHC.TypeNats Methods readsPrec :: Int -> ReadS SomeNat # readList :: ReadS [SomeNat] # readPrec :: ReadPrec SomeNat # readListPrec :: ReadPrec [SomeNat] #
Read CChar
Instance details Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CChar # readList :: ReadS [CChar] # readPrec :: ReadPrec CChar # readListPrec :: ReadPrec [CChar] #
Read CSChar
Instance details Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CSChar # readList :: ReadS [CSChar] # readPrec :: ReadPrec CSChar # readListPrec :: ReadPrec [CSChar] #
Read CUChar
Instance details Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CUChar # readList :: ReadS [CUChar] # readPrec :: ReadPrec CUChar # readListPrec :: ReadPrec [CUChar] #
Read CShort
Instance details Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CShort # readList :: ReadS [CShort] # readPrec :: ReadPrec CShort # readListPrec :: ReadPrec [CShort] #
Read CUShort
Instance details Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CUShort # readList :: ReadS [CUShort] # readPrec :: ReadPrec CUShort # readListPrec :: ReadPrec [CUShort] #
Read CInt
Instance details Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CInt # readList :: ReadS [CInt] # readPrec :: ReadPrec CInt # readListPrec :: ReadPrec [CInt] #
Read CUInt
Instance details Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CUInt # readList :: ReadS [CUInt] # readPrec :: ReadPrec CUInt # readListPrec :: ReadPrec [CUInt] #
Read CLong
Instance details Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CLong # readList :: ReadS [CLong] # readPrec :: ReadPrec CLong # readListPrec :: ReadPrec [CLong] #
Read CULong
Instance details Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CULong # readList :: ReadS [CULong] # readPrec :: ReadPrec CULong # readListPrec :: ReadPrec [CULong] #
Read CLLong
Instance details Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CLLong # readList :: ReadS [CLLong] # readPrec :: ReadPrec CLLong # readListPrec :: ReadPrec [CLLong] #
Read CULLong
Instance details Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CULLong # readList :: ReadS [CULLong] # readPrec :: ReadPrec CULLong # readListPrec :: ReadPrec [CULLong] #
Read CBool
Instance details Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CBool # readList :: ReadS [CBool] # readPrec :: ReadPrec CBool # readListPrec :: ReadPrec [CBool] #
Read CFloat
Instance details Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CFloat # readList :: ReadS [CFloat] # readPrec :: ReadPrec CFloat # readListPrec :: ReadPrec [CFloat] #
Read CDouble
Instance details Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CDouble # readList :: ReadS [CDouble] # readPrec :: ReadPrec CDouble # readListPrec :: ReadPrec [CDouble] #
Read CPtrdiff
Instance details Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CPtrdiff # readList :: ReadS [CPtrdiff] # readPrec :: ReadPrec CPtrdiff # readListPrec :: ReadPrec [CPtrdiff] #
Read CSize
Instance details Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CSize # readList :: ReadS [CSize] # readPrec :: ReadPrec CSize # readListPrec :: ReadPrec [CSize] #
Read CWchar
Instance details Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CWchar # readList :: ReadS [CWchar] # readPrec :: ReadPrec CWchar # readListPrec :: ReadPrec [CWchar] #
Read CSigAtomic
Instance details Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CSigAtomic # readList :: ReadS [CSigAtomic] # readPrec :: ReadPrec CSigAtomic # readListPrec :: ReadPrec [CSigAtomic] #
Read CClock
Instance details Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CClock # readList :: ReadS [CClock] # readPrec :: ReadPrec CClock # readListPrec :: ReadPrec [CClock] #
Read CTime
Instance details Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CTime # readList :: ReadS [CTime] # readPrec :: ReadPrec CTime # readListPrec :: ReadPrec [CTime] #
Read CUSeconds
Instance details Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CUSeconds # readList :: ReadS [CUSeconds] # readPrec :: ReadPrec CUSeconds # readListPrec :: ReadPrec [CUSeconds] #
Read CSUSeconds
Instance details Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CSUSeconds # readList :: ReadS [CSUSeconds] # readPrec :: ReadPrec CSUSeconds # readListPrec :: ReadPrec [CSUSeconds] #
Read CIntPtr
Instance details Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CIntPtr # readList :: ReadS [CIntPtr] # readPrec :: ReadPrec CIntPtr # readListPrec :: ReadPrec [CIntPtr] #
Read CUIntPtr
Instance details Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CUIntPtr # readList :: ReadS [CUIntPtr] # readPrec :: ReadPrec CUIntPtr # readListPrec :: ReadPrec [CUIntPtr] #
Read CIntMax
Instance details Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CIntMax # readList :: ReadS [CIntMax] # readPrec :: ReadPrec CIntMax # readListPrec :: ReadPrec [CIntMax] #
Read CUIntMax
Instance details Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CUIntMax # readList :: ReadS [CUIntMax] # readPrec :: ReadPrec CUIntMax # readListPrec :: ReadPrec [CUIntMax] #
Read WordPtr
Instance details Defined in Foreign.Ptr Methods readsPrec :: Int -> ReadS WordPtr # readList :: ReadS [WordPtr] # readPrec :: ReadPrec WordPtr # readListPrec :: ReadPrec [WordPtr] #
Read IntPtr
Instance details Defined in Foreign.Ptr Methods readsPrec :: Int -> ReadS IntPtr # readList :: ReadS [IntPtr] # readPrec :: ReadPrec IntPtr # readListPrec :: ReadPrec [IntPtr] #
Read IOMode	Since: base-4.2.0.0
Instance details Defined in GHC.IO.IOMode Methods readsPrec :: Int -> ReadS IOMode # readList :: ReadS [IOMode] # readPrec :: ReadPrec IOMode # readListPrec :: ReadPrec [IOMode] #
Read Lexeme	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Lexeme # readList :: ReadS [Lexeme] # readPrec :: ReadPrec Lexeme # readListPrec :: ReadPrec [Lexeme] #
Read GeneralCategory	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS GeneralCategory # readList :: ReadS [GeneralCategory] # readPrec :: ReadPrec GeneralCategory # readListPrec :: ReadPrec [GeneralCategory] #
Read IntSet
Instance details Defined in Data.IntSet.Internal Methods readsPrec :: Int -> ReadS IntSet # readList :: ReadS [IntSet] # readPrec :: ReadPrec IntSet # readListPrec :: ReadPrec [IntSet] #
Read DatatypeVariant
Instance details Defined in Language.Haskell.TH.Datatype Methods readsPrec :: Int -> ReadS DatatypeVariant # readList :: ReadS [DatatypeVariant] # readPrec :: ReadPrec DatatypeVariant # readListPrec :: ReadPrec [DatatypeVariant] #
Read UnpackedUUID
Instance details Defined in Data.UUID.Types.Internal Methods readsPrec :: Int -> ReadS UnpackedUUID # readList :: ReadS [UnpackedUUID] # readPrec :: ReadPrec UnpackedUUID # readListPrec :: ReadPrec [UnpackedUUID] #
Read UUID
Instance details Defined in Data.UUID.Types.Internal Methods readsPrec :: Int -> ReadS UUID # readList :: ReadS [UUID] # readPrec :: ReadPrec UUID # readListPrec :: ReadPrec [UUID] #
Read a => Read [a]	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS [a] # readList :: ReadS [[a]] # readPrec :: ReadPrec [a] # readListPrec :: ReadPrec [[a]] #
Read a => Read (Maybe a)	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS (Maybe a) # readList :: ReadS [Maybe a] # readPrec :: ReadPrec (Maybe a) # readListPrec :: ReadPrec [Maybe a] #
(Integral a, Read a) => Read (Ratio a)	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS (Ratio a) # readList :: ReadS [Ratio a] # readPrec :: ReadPrec (Ratio a) # readListPrec :: ReadPrec [Ratio a] #
Read p => Read (Par1 p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods readsPrec :: Int -> ReadS (Par1 p) # readList :: ReadS [Par1 p] # readPrec :: ReadPrec (Par1 p) # readListPrec :: ReadPrec [Par1 p] #
Read a => Read (Complex a)	Since: base-2.1
Instance details Defined in Data.Complex Methods readsPrec :: Int -> ReadS (Complex a) # readList :: ReadS [Complex a] # readPrec :: ReadPrec (Complex a) # readListPrec :: ReadPrec [Complex a] #
Read a => Read (Min a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods readsPrec :: Int -> ReadS (Min a) # readList :: ReadS [Min a] # readPrec :: ReadPrec (Min a) # readListPrec :: ReadPrec [Min a] #
Read a => Read (Max a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods readsPrec :: Int -> ReadS (Max a) # readList :: ReadS [Max a] # readPrec :: ReadPrec (Max a) # readListPrec :: ReadPrec [Max a] #
Read a => Read (First a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods readsPrec :: Int -> ReadS (First a) # readList :: ReadS [First a] # readPrec :: ReadPrec (First a) # readListPrec :: ReadPrec [First a] #
Read a => Read (Last a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods readsPrec :: Int -> ReadS (Last a) # readList :: ReadS [Last a] # readPrec :: ReadPrec (Last a) # readListPrec :: ReadPrec [Last a] #
Read m => Read (WrappedMonoid m)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods readsPrec :: Int -> ReadS (WrappedMonoid m) # readList :: ReadS [WrappedMonoid m] # readPrec :: ReadPrec (WrappedMonoid m) # readListPrec :: ReadPrec [WrappedMonoid m] #
Read a => Read (Option a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods readsPrec :: Int -> ReadS (Option a) # readList :: ReadS [Option a] # readPrec :: ReadPrec (Option a) # readListPrec :: ReadPrec [Option a] #
Read a => Read (ZipList a)	Since: base-4.7.0.0
Instance details Defined in Control.Applicative Methods readsPrec :: Int -> ReadS (ZipList a) # readList :: ReadS [ZipList a] # readPrec :: ReadPrec (ZipList a) # readListPrec :: ReadPrec [ZipList a] #
Read a => Read (Identity a)	This instance would be equivalent to the derived instances of the `Identity` newtype if the `runIdentity` field were removed Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity Methods readsPrec :: Int -> ReadS (Identity a) # readList :: ReadS [Identity a] # readPrec :: ReadPrec (Identity a) # readListPrec :: ReadPrec [Identity a] #
Read a => Read (First a)	Since: base-2.1
Instance details Defined in Data.Monoid Methods readsPrec :: Int -> ReadS (First a) # readList :: ReadS [First a] # readPrec :: ReadPrec (First a) # readListPrec :: ReadPrec [First a] #
Read a => Read (Last a)	Since: base-2.1
Instance details Defined in Data.Monoid Methods readsPrec :: Int -> ReadS (Last a) # readList :: ReadS [Last a] # readPrec :: ReadPrec (Last a) # readListPrec :: ReadPrec [Last a] #
Read a => Read (Dual a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods readsPrec :: Int -> ReadS (Dual a) # readList :: ReadS [Dual a] # readPrec :: ReadPrec (Dual a) # readListPrec :: ReadPrec [Dual a] #
Read a => Read (Sum a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods readsPrec :: Int -> ReadS (Sum a) # readList :: ReadS [Sum a] # readPrec :: ReadPrec (Sum a) # readListPrec :: ReadPrec [Sum a] #
Read a => Read (Product a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods readsPrec :: Int -> ReadS (Product a) # readList :: ReadS [Product a] # readPrec :: ReadPrec (Product a) # readListPrec :: ReadPrec [Product a] #
Read a => Read (Down a)	Since: base-4.7.0.0
Instance details Defined in Data.Ord Methods readsPrec :: Int -> ReadS (Down a) # readList :: ReadS [Down a] # readPrec :: ReadPrec (Down a) # readListPrec :: ReadPrec [Down a] #
Read a => Read (NonEmpty a)	Since: base-4.11.0.0
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS (NonEmpty a) # readList :: ReadS [NonEmpty a] # readPrec :: ReadPrec (NonEmpty a) # readListPrec :: ReadPrec [NonEmpty a] #
Read e => Read (IntMap e)
Instance details Defined in Data.IntMap.Internal Methods readsPrec :: Int -> ReadS (IntMap e) # readList :: ReadS [IntMap e] # readPrec :: ReadPrec (IntMap e) # readListPrec :: ReadPrec [IntMap e] #
Read a => Read (Tree a)
Instance details Defined in Data.Tree Methods readsPrec :: Int -> ReadS (Tree a) # readList :: ReadS [Tree a] # readPrec :: ReadPrec (Tree a) # readListPrec :: ReadPrec [Tree a] #
Read a => Read (Seq a)
Instance details Defined in Data.Sequence.Internal Methods readsPrec :: Int -> ReadS (Seq a) # readList :: ReadS [Seq a] # readPrec :: ReadPrec (Seq a) # readListPrec :: ReadPrec [Seq a] #
Read a => Read (ViewL a)
Instance details Defined in Data.Sequence.Internal Methods readsPrec :: Int -> ReadS (ViewL a) # readList :: ReadS [ViewL a] # readPrec :: ReadPrec (ViewL a) # readListPrec :: ReadPrec [ViewL a] #
Read a => Read (ViewR a)
Instance details Defined in Data.Sequence.Internal Methods readsPrec :: Int -> ReadS (ViewR a) # readList :: ReadS [ViewR a] # readPrec :: ReadPrec (ViewR a) # readListPrec :: ReadPrec [ViewR a] #
(Read a, Ord a) => Read (Set a)
Instance details Defined in Data.Set.Internal Methods readsPrec :: Int -> ReadS (Set a) # readList :: ReadS [Set a] # readPrec :: ReadPrec (Set a) # readListPrec :: ReadPrec [Set a] #
Read a => Read (DList a)
Instance details Defined in Data.DList Methods readsPrec :: Int -> ReadS (DList a) # readList :: ReadS [DList a] # readPrec :: ReadPrec (DList a) # readListPrec :: ReadPrec [DList a] #
(Read a, Prim a) => Read (Vector a)
Instance details Defined in Data.Vector.Primitive Methods readsPrec :: Int -> ReadS (Vector a) # readList :: ReadS [Vector a] # readPrec :: ReadPrec (Vector a) # readListPrec :: ReadPrec [Vector a] #
(Read a, Storable a) => Read (Vector a)
Instance details Defined in Data.Vector.Storable Methods readsPrec :: Int -> ReadS (Vector a) # readList :: ReadS [Vector a] # readPrec :: ReadPrec (Vector a) # readListPrec :: ReadPrec [Vector a] #
(Eq a, Hashable a, Read a) => Read (HashSet a)
Instance details Defined in Data.HashSet Methods readsPrec :: Int -> ReadS (HashSet a) # readList :: ReadS [HashSet a] # readPrec :: ReadPrec (HashSet a) # readListPrec :: ReadPrec [HashSet a] #
Read a => Read (Vector a)
Instance details Defined in Data.Vector Methods readsPrec :: Int -> ReadS (Vector a) # readList :: ReadS [Vector a] # readPrec :: ReadPrec (Vector a) # readListPrec :: ReadPrec [Vector a] #
Read a => Read (SmallArray a)
Instance details Defined in Data.Primitive.SmallArray Methods readsPrec :: Int -> ReadS (SmallArray a) # readList :: ReadS [SmallArray a] # readPrec :: ReadPrec (SmallArray a) # readListPrec :: ReadPrec [SmallArray a] #
Read a => Read (Array a)
Instance details Defined in Data.Primitive.Array Methods readsPrec :: Int -> ReadS (Array a) # readList :: ReadS [Array a] # readPrec :: ReadPrec (Array a) # readListPrec :: ReadPrec [Array a] #
(Read a, Read b) => Read (Either a b)	Since: base-3.0
Instance details Defined in Data.Either Methods readsPrec :: Int -> ReadS (Either a b) # readList :: ReadS [Either a b] # readPrec :: ReadPrec (Either a b) # readListPrec :: ReadPrec [Either a b] #
Read (V1 p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods readsPrec :: Int -> ReadS (V1 p) # readList :: ReadS [V1 p] # readPrec :: ReadPrec (V1 p) # readListPrec :: ReadPrec [V1 p] #
Read (U1 p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods readsPrec :: Int -> ReadS (U1 p) # readList :: ReadS [U1 p] # readPrec :: ReadPrec (U1 p) # readListPrec :: ReadPrec [U1 p] #
(Read a, Read b) => Read (a, b)	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS (a, b) # readList :: ReadS [(a, b)] # readPrec :: ReadPrec (a, b) # readListPrec :: ReadPrec [(a, b)] #
(Eq k, Hashable k, Read k, Read e) => Read (HashMap k e)
Instance details Defined in Data.HashMap.Base Methods readsPrec :: Int -> ReadS (HashMap k e) # readList :: ReadS [HashMap k e] # readPrec :: ReadPrec (HashMap k e) # readListPrec :: ReadPrec [HashMap k e] #
(Ord k, Read k, Read e) => Read (Map k e)
Instance details Defined in Data.Map.Internal Methods readsPrec :: Int -> ReadS (Map k e) # readList :: ReadS [Map k e] # readPrec :: ReadPrec (Map k e) # readListPrec :: ReadPrec [Map k e] #
(Ix a, Read a, Read b) => Read (Array a b)	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS (Array a b) # readList :: ReadS [Array a b] # readPrec :: ReadPrec (Array a b) # readListPrec :: ReadPrec [Array a b] #
(Read a, Read b) => Read (Arg a b)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods readsPrec :: Int -> ReadS (Arg a b) # readList :: ReadS [Arg a b] # readPrec :: ReadPrec (Arg a b) # readListPrec :: ReadPrec [Arg a b] #
Read (Proxy t)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods readsPrec :: Int -> ReadS (Proxy t) # readList :: ReadS [Proxy t] # readPrec :: ReadPrec (Proxy t) # readListPrec :: ReadPrec [Proxy t] #
(Read1 f, Read a) => Read (Cofree f a)
Instance details Defined in Control.Comonad.Cofree Methods readsPrec :: Int -> ReadS (Cofree f a) # readList :: ReadS [Cofree f a] # readPrec :: ReadPrec (Cofree f a) # readListPrec :: ReadPrec [Cofree f a] #
(Read1 f, Read a) => Read (Free f a)
Instance details Defined in Control.Monad.Free Methods readsPrec :: Int -> ReadS (Free f a) # readList :: ReadS [Free f a] # readPrec :: ReadPrec (Free f a) # readListPrec :: ReadPrec [Free f a] #
(Functor f, Read (f a)) => Read (Yoneda f a)
Instance details Defined in Data.Functor.Yoneda Methods readsPrec :: Int -> ReadS (Yoneda f a) # readList :: ReadS [Yoneda f a] # readPrec :: ReadPrec (Yoneda f a) # readListPrec :: ReadPrec [Yoneda f a] #
Read (f p) => Read (Rec1 f p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods readsPrec :: Int -> ReadS (Rec1 f p) # readList :: ReadS [Rec1 f p] # readPrec :: ReadPrec (Rec1 f p) # readListPrec :: ReadPrec [Rec1 f p] #
(Read a, Read b, Read c) => Read (a, b, c)	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS (a, b, c) # readList :: ReadS [(a, b, c)] # readPrec :: ReadPrec (a, b, c) # readListPrec :: ReadPrec [(a, b, c)] #
Read a => Read (Const a b)	This instance would be equivalent to the derived instances of the `Const` newtype if the `runConst` field were removed Since: base-4.8.0.0
Instance details Defined in Data.Functor.Const Methods readsPrec :: Int -> ReadS (Const a b) # readList :: ReadS [Const a b] # readPrec :: ReadPrec (Const a b) # readListPrec :: ReadPrec [Const a b] #
Read (f a) => Read (Ap f a)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid Methods readsPrec :: Int -> ReadS (Ap f a) # readList :: ReadS [Ap f a] # readPrec :: ReadPrec (Ap f a) # readListPrec :: ReadPrec [Ap f a] #
Read (f a) => Read (Alt f a)	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods readsPrec :: Int -> ReadS (Alt f a) # readList :: ReadS [Alt f a] # readPrec :: ReadPrec (Alt f a) # readListPrec :: ReadPrec [Alt f a] #
Coercible a b => Read (Coercion a b)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Coercion Methods readsPrec :: Int -> ReadS (Coercion a b) # readList :: ReadS [Coercion a b] # readPrec :: ReadPrec (Coercion a b) # readListPrec :: ReadPrec [Coercion a b] #
a ~ b => Read (a :~: b)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Equality Methods readsPrec :: Int -> ReadS (a :~: b) # readList :: ReadS [a :~: b] # readPrec :: ReadPrec (a :~: b) # readListPrec :: ReadPrec [a :~: b] #
Read (p a a) => Read (Join p a)
Instance details Defined in Data.Bifunctor.Join Methods readsPrec :: Int -> ReadS (Join p a) # readList :: ReadS [Join p a] # readPrec :: ReadPrec (Join p a) # readListPrec :: ReadPrec [Join p a] #
Read (p (Fix p a) a) => Read (Fix p a)
Instance details Defined in Data.Bifunctor.Fix Methods readsPrec :: Int -> ReadS (Fix p a) # readList :: ReadS [Fix p a] # readPrec :: ReadPrec (Fix p a) # readListPrec :: ReadPrec [Fix p a] #
(Read e, Read1 m, Read a) => Read (ExceptT e m a)
Instance details Defined in Control.Monad.Trans.Except Methods readsPrec :: Int -> ReadS (ExceptT e m a) # readList :: ReadS [ExceptT e m a] # readPrec :: ReadPrec (ExceptT e m a) # readListPrec :: ReadPrec [ExceptT e m a] #
(Read a, Read (f b)) => Read (FreeF f a b)
Instance details Defined in Control.Monad.Trans.Free Methods readsPrec :: Int -> ReadS (FreeF f a b) # readList :: ReadS [FreeF f a b] # readPrec :: ReadPrec (FreeF f a b) # readListPrec :: ReadPrec [FreeF f a b] #
(Read1 f, Read1 m, Read a) => Read (FreeT f m a)
Instance details Defined in Control.Monad.Trans.Free Methods readsPrec :: Int -> ReadS (FreeT f m a) # readList :: ReadS [FreeT f m a] # readPrec :: ReadPrec (FreeT f m a) # readListPrec :: ReadPrec [FreeT f m a] #
(Read a, Read (f b)) => Read (CofreeF f a b)
Instance details Defined in Control.Comonad.Trans.Cofree Methods readsPrec :: Int -> ReadS (CofreeF f a b) # readList :: ReadS [CofreeF f a b] # readPrec :: ReadPrec (CofreeF f a b) # readListPrec :: ReadPrec [CofreeF f a b] #
Read (w (CofreeF f a (CofreeT f w a))) => Read (CofreeT f w a)
Instance details Defined in Control.Comonad.Trans.Cofree Methods readsPrec :: Int -> ReadS (CofreeT f w a) # readList :: ReadS [CofreeT f w a] # readPrec :: ReadPrec (CofreeT f w a) # readListPrec :: ReadPrec [CofreeT f w a] #
(Read e, Read1 m, Read a) => Read (ErrorT e m a)
Instance details Defined in Control.Monad.Trans.Error Methods readsPrec :: Int -> ReadS (ErrorT e m a) # readList :: ReadS [ErrorT e m a] # readPrec :: ReadPrec (ErrorT e m a) # readListPrec :: ReadPrec [ErrorT e m a] #
Read b => Read (Tagged s b)
Instance details Defined in Data.Tagged Methods readsPrec :: Int -> ReadS (Tagged s b) # readList :: ReadS [Tagged s b] # readPrec :: ReadPrec (Tagged s b) # readListPrec :: ReadPrec [Tagged s b] #
Read c => Read (K1 i c p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods readsPrec :: Int -> ReadS (K1 i c p) # readList :: ReadS [K1 i c p] # readPrec :: ReadPrec (K1 i c p) # readListPrec :: ReadPrec [K1 i c p] #
(Read (f p), Read (g p)) => Read ((f :+: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods readsPrec :: Int -> ReadS ((f :+: g) p) # readList :: ReadS [(f :+: g) p] # readPrec :: ReadPrec ((f :+: g) p) # readListPrec :: ReadPrec [(f :+: g) p] #
(Read (f p), Read (g p)) => Read ((f :*: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods readsPrec :: Int -> ReadS ((f :: g) p) # readList :: ReadS [(f :: g) p] # readPrec :: ReadPrec ((f :: g) p) # readListPrec :: ReadPrec [(f :: g) p] #
(Read a, Read b, Read c, Read d) => Read (a, b, c, d)	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS (a, b, c, d) # readList :: ReadS [(a, b, c, d)] # readPrec :: ReadPrec (a, b, c, d) # readListPrec :: ReadPrec [(a, b, c, d)] #
a ~~ b => Read (a :~~: b)	Since: base-4.10.0.0
Instance details Defined in Data.Type.Equality Methods readsPrec :: Int -> ReadS (a :~~: b) # readList :: ReadS [a :~~: b] # readPrec :: ReadPrec (a :~~: b) # readListPrec :: ReadPrec [a :~~: b] #
Read (f p) => Read (M1 i c f p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods readsPrec :: Int -> ReadS (M1 i c f p) # readList :: ReadS [M1 i c f p] # readPrec :: ReadPrec (M1 i c f p) # readListPrec :: ReadPrec [M1 i c f p] #
Read (f (g p)) => Read ((f :.: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods readsPrec :: Int -> ReadS ((f :.: g) p) # readList :: ReadS [(f :.: g) p] # readPrec :: ReadPrec ((f :.: g) p) # readListPrec :: ReadPrec [(f :.: g) p] #
(Read a, Read b, Read c, Read d, Read e) => Read (a, b, c, d, e)	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e) # readList :: ReadS [(a, b, c, d, e)] # readPrec :: ReadPrec (a, b, c, d, e) # readListPrec :: ReadPrec [(a, b, c, d, e)] #
Read (p a b) => Read (WrappedBifunctor p a b)
Instance details Defined in Data.Bifunctor.Wrapped Methods readsPrec :: Int -> ReadS (WrappedBifunctor p a b) # readList :: ReadS [WrappedBifunctor p a b] # readPrec :: ReadPrec (WrappedBifunctor p a b) # readListPrec :: ReadPrec [WrappedBifunctor p a b] #
Read (g b) => Read (Joker g a b)
Instance details Defined in Data.Bifunctor.Joker Methods readsPrec :: Int -> ReadS (Joker g a b) # readList :: ReadS [Joker g a b] # readPrec :: ReadPrec (Joker g a b) # readListPrec :: ReadPrec [Joker g a b] #
Read (p b a) => Read (Flip p a b)
Instance details Defined in Data.Bifunctor.Flip Methods readsPrec :: Int -> ReadS (Flip p a b) # readList :: ReadS [Flip p a b] # readPrec :: ReadPrec (Flip p a b) # readListPrec :: ReadPrec [Flip p a b] #
Read (f a) => Read (Clown f a b)
Instance details Defined in Data.Bifunctor.Clown Methods readsPrec :: Int -> ReadS (Clown f a b) # readList :: ReadS [Clown f a b] # readPrec :: ReadPrec (Clown f a b) # readListPrec :: ReadPrec [Clown f a b] #
(Read a, Read b, Read c, Read d, Read e, Read f) => Read (a, b, c, d, e, f)	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f) # readList :: ReadS [(a, b, c, d, e, f)] # readPrec :: ReadPrec (a, b, c, d, e, f) # readListPrec :: ReadPrec [(a, b, c, d, e, f)] #
(Read (p a b), Read (q a b)) => Read (Sum p q a b)
Instance details Defined in Data.Bifunctor.Sum Methods readsPrec :: Int -> ReadS (Sum p q a b) # readList :: ReadS [Sum p q a b] # readPrec :: ReadPrec (Sum p q a b) # readListPrec :: ReadPrec [Sum p q a b] #
(Read (f a b), Read (g a b)) => Read (Product f g a b)
Instance details Defined in Data.Bifunctor.Product Methods readsPrec :: Int -> ReadS (Product f g a b) # readList :: ReadS [Product f g a b] # readPrec :: ReadPrec (Product f g a b) # readListPrec :: ReadPrec [Product f g a b] #
(Read a, Read b, Read c, Read d, Read e, Read f, Read g) => Read (a, b, c, d, e, f, g)	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f, g) # readList :: ReadS [(a, b, c, d, e, f, g)] # readPrec :: ReadPrec (a, b, c, d, e, f, g) # readListPrec :: ReadPrec [(a, b, c, d, e, f, g)] #
Read (f (p a b)) => Read (Tannen f p a b)
Instance details Defined in Data.Bifunctor.Tannen Methods readsPrec :: Int -> ReadS (Tannen f p a b) # readList :: ReadS [Tannen f p a b] # readPrec :: ReadPrec (Tannen f p a b) # readListPrec :: ReadPrec [Tannen f p a b] #
(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h) => Read (a, b, c, d, e, f, g, h)	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h) # readList :: ReadS [(a, b, c, d, e, f, g, h)] # readPrec :: ReadPrec (a, b, c, d, e, f, g, h) # readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h)] #
(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i) => Read (a, b, c, d, e, f, g, h, i)	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i) # readList :: ReadS [(a, b, c, d, e, f, g, h, i)] # readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i) # readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i)] #
Read (p (f a) (g b)) => Read (Biff p f g a b)
Instance details Defined in Data.Bifunctor.Biff Methods readsPrec :: Int -> ReadS (Biff p f g a b) # readList :: ReadS [Biff p f g a b] # readPrec :: ReadPrec (Biff p f g a b) # readListPrec :: ReadPrec [Biff p f g a b] #
(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j) => Read (a, b, c, d, e, f, g, h, i, j)	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j) # readList :: ReadS [(a, b, c, d, e, f, g, h, i, j)] # readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j) # readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j)] #
(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k) => Read (a, b, c, d, e, f, g, h, i, j, k)	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j, k) # readList :: ReadS [(a, b, c, d, e, f, g, h, i, j, k)] # readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j, k) # readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j, k)] #
(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k, Read l) => Read (a, b, c, d, e, f, g, h, i, j, k, l)	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j, k, l) # readList :: ReadS [(a, b, c, d, e, f, g, h, i, j, k, l)] # readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j, k, l) # readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j, k, l)] #
(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k, Read l, Read m) => Read (a, b, c, d, e, f, g, h, i, j, k, l, m)	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j, k, l, m) # readList :: ReadS [(a, b, c, d, e, f, g, h, i, j, k, l, m)] # readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j, k, l, m) # readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j, k, l, m)] #
(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k, Read l, Read m, Read n) => Read (a, b, c, d, e, f, g, h, i, j, k, l, m, n)	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j, k, l, m, n) # readList :: ReadS [(a, b, c, d, e, f, g, h, i, j, k, l, m, n)] # readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j, k, l, m, n) # readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j, k, l, m, n)] #
(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k, Read l, Read m, Read n, Read o) => Read (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) # readList :: ReadS [(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)] # readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) # readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)] #

class (Num a, Ord a) => Real a where #

Methods

toRational :: a -> Rational #

the rational equivalent of its real argument with full precision

Instances

Real Int	Since: base-2.0.1
Instance details Defined in GHC.Real Methods toRational :: Int -> Rational #
Real Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods toRational :: Int8 -> Rational #
Real Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods toRational :: Int16 -> Rational #
Real Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods toRational :: Int32 -> Rational #
Real Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods toRational :: Int64 -> Rational #
Real Integer	Since: base-2.0.1
Instance details Defined in GHC.Real Methods toRational :: Integer -> Rational #
Real Natural	Since: base-4.8.0.0
Instance details Defined in GHC.Real Methods toRational :: Natural -> Rational #
Real Word	Since: base-2.1
Instance details Defined in GHC.Real Methods toRational :: Word -> Rational #
Real Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods toRational :: Word8 -> Rational #
Real Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods toRational :: Word16 -> Rational #
Real Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods toRational :: Word32 -> Rational #
Real Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods toRational :: Word64 -> Rational #
Real Scientific	WARNING: `toRational` needs to compute the `Integer` magnitude: `10^e`. If applied to a huge exponent this could fill up all space and crash your program! Avoid applying `toRational` (or `realToFrac`) to scientific numbers coming from an untrusted source and use `toRealFloat` instead. The latter guards against excessive space usage.
Instance details Defined in Data.Scientific Methods toRational :: Scientific -> Rational #
Real CDev
Instance details Defined in System.Posix.Types Methods toRational :: CDev -> Rational #
Real CIno
Instance details Defined in System.Posix.Types Methods toRational :: CIno -> Rational #
Real CMode
Instance details Defined in System.Posix.Types Methods toRational :: CMode -> Rational #
Real COff
Instance details Defined in System.Posix.Types Methods toRational :: COff -> Rational #
Real CPid
Instance details Defined in System.Posix.Types Methods toRational :: CPid -> Rational #
Real CSsize
Instance details Defined in System.Posix.Types Methods toRational :: CSsize -> Rational #
Real CGid
Instance details Defined in System.Posix.Types Methods toRational :: CGid -> Rational #
Real CNlink
Instance details Defined in System.Posix.Types Methods toRational :: CNlink -> Rational #
Real CUid
Instance details Defined in System.Posix.Types Methods toRational :: CUid -> Rational #
Real CCc
Instance details Defined in System.Posix.Types Methods toRational :: CCc -> Rational #
Real CSpeed
Instance details Defined in System.Posix.Types Methods toRational :: CSpeed -> Rational #
Real CTcflag
Instance details Defined in System.Posix.Types Methods toRational :: CTcflag -> Rational #
Real CRLim
Instance details Defined in System.Posix.Types Methods toRational :: CRLim -> Rational #
Real CBlkSize
Instance details Defined in System.Posix.Types Methods toRational :: CBlkSize -> Rational #
Real CBlkCnt
Instance details Defined in System.Posix.Types Methods toRational :: CBlkCnt -> Rational #
Real CClockId
Instance details Defined in System.Posix.Types Methods toRational :: CClockId -> Rational #
Real CFsBlkCnt
Instance details Defined in System.Posix.Types Methods toRational :: CFsBlkCnt -> Rational #
Real CFsFilCnt
Instance details Defined in System.Posix.Types Methods toRational :: CFsFilCnt -> Rational #
Real CId
Instance details Defined in System.Posix.Types Methods toRational :: CId -> Rational #
Real CKey
Instance details Defined in System.Posix.Types Methods toRational :: CKey -> Rational #
Real Fd
Instance details Defined in System.Posix.Types Methods toRational :: Fd -> Rational #
Real CChar
Instance details Defined in Foreign.C.Types Methods toRational :: CChar -> Rational #
Real CSChar
Instance details Defined in Foreign.C.Types Methods toRational :: CSChar -> Rational #
Real CUChar
Instance details Defined in Foreign.C.Types Methods toRational :: CUChar -> Rational #
Real CShort
Instance details Defined in Foreign.C.Types Methods toRational :: CShort -> Rational #
Real CUShort
Instance details Defined in Foreign.C.Types Methods toRational :: CUShort -> Rational #
Real CInt
Instance details Defined in Foreign.C.Types Methods toRational :: CInt -> Rational #
Real CUInt
Instance details Defined in Foreign.C.Types Methods toRational :: CUInt -> Rational #
Real CLong
Instance details Defined in Foreign.C.Types Methods toRational :: CLong -> Rational #
Real CULong
Instance details Defined in Foreign.C.Types Methods toRational :: CULong -> Rational #
Real CLLong
Instance details Defined in Foreign.C.Types Methods toRational :: CLLong -> Rational #
Real CULLong
Instance details Defined in Foreign.C.Types Methods toRational :: CULLong -> Rational #
Real CBool
Instance details Defined in Foreign.C.Types Methods toRational :: CBool -> Rational #
Real CFloat
Instance details Defined in Foreign.C.Types Methods toRational :: CFloat -> Rational #
Real CDouble
Instance details Defined in Foreign.C.Types Methods toRational :: CDouble -> Rational #
Real CPtrdiff
Instance details Defined in Foreign.C.Types Methods toRational :: CPtrdiff -> Rational #
Real CSize
Instance details Defined in Foreign.C.Types Methods toRational :: CSize -> Rational #
Real CWchar
Instance details Defined in Foreign.C.Types Methods toRational :: CWchar -> Rational #
Real CSigAtomic
Instance details Defined in Foreign.C.Types Methods toRational :: CSigAtomic -> Rational #
Real CClock
Instance details Defined in Foreign.C.Types Methods toRational :: CClock -> Rational #
Real CTime
Instance details Defined in Foreign.C.Types Methods toRational :: CTime -> Rational #
Real CUSeconds
Instance details Defined in Foreign.C.Types Methods toRational :: CUSeconds -> Rational #
Real CSUSeconds
Instance details Defined in Foreign.C.Types Methods toRational :: CSUSeconds -> Rational #
Real CIntPtr
Instance details Defined in Foreign.C.Types Methods toRational :: CIntPtr -> Rational #
Real CUIntPtr
Instance details Defined in Foreign.C.Types Methods toRational :: CUIntPtr -> Rational #
Real CIntMax
Instance details Defined in Foreign.C.Types Methods toRational :: CIntMax -> Rational #
Real CUIntMax
Instance details Defined in Foreign.C.Types Methods toRational :: CUIntMax -> Rational #
Real WordPtr
Instance details Defined in Foreign.Ptr Methods toRational :: WordPtr -> Rational #
Real IntPtr
Instance details Defined in Foreign.Ptr Methods toRational :: IntPtr -> Rational #
Integral a => Real (Ratio a)	Since: base-2.0.1
Instance details Defined in GHC.Real Methods toRational :: Ratio a -> Rational #
Real a => Real (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods toRational :: Identity a -> Rational #
Real a => Real (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods toRational :: Const a b -> Rational #
Real a => Real (Tagged s a)
Instance details Defined in Data.Tagged Methods toRational :: Tagged s a -> Rational #

class (RealFrac a, Floating a) => RealFloat a where #

Efficient, machine-independent access to the components of a floating-point number.

Minimal complete definition

floatRadix, floatDigits, floatRange, decodeFloat, encodeFloat, isNaN, isInfinite, isDenormalized, isNegativeZero, isIEEE

Methods

floatRadix :: a -> Integer #

a constant function, returning the radix of the representation (often 2)

floatDigits :: a -> Int #

a constant function, returning the number of digits of floatRadix in the significand

floatRange :: a -> (Int, Int) #

a constant function, returning the lowest and highest values the exponent may assume

decodeFloat :: a -> (Integer, Int) #

The function decodeFloat applied to a real floating-point number returns the significand expressed as an Integer and an appropriately scaled exponent (an Int). If decodeFloat x yields (m,n), then x is equal in value to m*b^^n, where b is the floating-point radix, and furthermore, either m and n are both zero or else b^(d-1) <= abs m < b^d, where d is the value of floatDigits x. In particular, decodeFloat 0 = (0,0). If the type contains a negative zero, also decodeFloat (-0.0) = (0,0). The result of decodeFloat x is unspecified if either of isNaN x or isInfinite x is True.

encodeFloat :: Integer -> Int -> a #

encodeFloat performs the inverse of decodeFloat in the sense that for finite x with the exception of -0.0, uncurry encodeFloat (decodeFloat x) = x. encodeFloat m n is one of the two closest representable floating-point numbers to m*b^^n (or ±Infinity if overflow occurs); usually the closer, but if m contains too many bits, the result may be rounded in the wrong direction.

exponent :: a -> Int #

exponent corresponds to the second component of decodeFloat. exponent 0 = 0 and for finite nonzero x, exponent x = snd (decodeFloat x) + floatDigits x. If x is a finite floating-point number, it is equal in value to significand x * b ^^ exponent x, where b is the floating-point radix. The behaviour is unspecified on infinite or NaN values.

significand :: a -> a #

The first component of decodeFloat, scaled to lie in the open interval (-1,1), either 0.0 or of absolute value >= 1/b, where b is the floating-point radix. The behaviour is unspecified on infinite or NaN values.

scaleFloat :: Int -> a -> a #

multiplies a floating-point number by an integer power of the radix

isNaN :: a -> Bool #

True if the argument is an IEEE "not-a-number" (NaN) value

isInfinite :: a -> Bool #

True if the argument is an IEEE infinity or negative infinity

isDenormalized :: a -> Bool #

True if the argument is too small to be represented in normalized format

isNegativeZero :: a -> Bool #

True if the argument is an IEEE negative zero

isIEEE :: a -> Bool #

True if the argument is an IEEE floating point number

atan2 :: a -> a -> a #

a version of arctangent taking two real floating-point arguments. For real floating x and y, atan2 y x computes the angle (from the positive x-axis) of the vector from the origin to the point (x,y). atan2 y x returns a value in the range [-pi, pi]. It follows the Common Lisp semantics for the origin when signed zeroes are supported. atan2 y 1, with y in a type that is RealFloat, should return the same value as atan y. A default definition of atan2 is provided, but implementors can provide a more accurate implementation.

Instances

RealFloat Double	Since: base-2.1
Instance details Defined in GHC.Float Methods floatRadix :: Double -> Integer # floatDigits :: Double -> Int # floatRange :: Double -> (Int, Int) # decodeFloat :: Double -> (Integer, Int) # encodeFloat :: Integer -> Int -> Double # exponent :: Double -> Int # significand :: Double -> Double # scaleFloat :: Int -> Double -> Double # isNaN :: Double -> Bool # isInfinite :: Double -> Bool # isDenormalized :: Double -> Bool # isNegativeZero :: Double -> Bool # isIEEE :: Double -> Bool # atan2 :: Double -> Double -> Double #
RealFloat Float	Since: base-2.1
Instance details Defined in GHC.Float Methods floatRadix :: Float -> Integer # floatDigits :: Float -> Int # floatRange :: Float -> (Int, Int) # decodeFloat :: Float -> (Integer, Int) # encodeFloat :: Integer -> Int -> Float # exponent :: Float -> Int # significand :: Float -> Float # scaleFloat :: Int -> Float -> Float # isNaN :: Float -> Bool # isInfinite :: Float -> Bool # isDenormalized :: Float -> Bool # isNegativeZero :: Float -> Bool # isIEEE :: Float -> Bool # atan2 :: Float -> Float -> Float #
RealFloat CFloat
Instance details Defined in Foreign.C.Types Methods floatRadix :: CFloat -> Integer # floatDigits :: CFloat -> Int # floatRange :: CFloat -> (Int, Int) # decodeFloat :: CFloat -> (Integer, Int) # encodeFloat :: Integer -> Int -> CFloat # exponent :: CFloat -> Int # significand :: CFloat -> CFloat # scaleFloat :: Int -> CFloat -> CFloat # isNaN :: CFloat -> Bool # isInfinite :: CFloat -> Bool # isDenormalized :: CFloat -> Bool # isNegativeZero :: CFloat -> Bool # isIEEE :: CFloat -> Bool # atan2 :: CFloat -> CFloat -> CFloat #
RealFloat CDouble
Instance details Defined in Foreign.C.Types Methods floatRadix :: CDouble -> Integer # floatDigits :: CDouble -> Int # floatRange :: CDouble -> (Int, Int) # decodeFloat :: CDouble -> (Integer, Int) # encodeFloat :: Integer -> Int -> CDouble # exponent :: CDouble -> Int # significand :: CDouble -> CDouble # scaleFloat :: Int -> CDouble -> CDouble # isNaN :: CDouble -> Bool # isInfinite :: CDouble -> Bool # isDenormalized :: CDouble -> Bool # isNegativeZero :: CDouble -> Bool # isIEEE :: CDouble -> Bool # atan2 :: CDouble -> CDouble -> CDouble #
RealFloat a => RealFloat (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods floatRadix :: Identity a -> Integer # floatDigits :: Identity a -> Int # floatRange :: Identity a -> (Int, Int) # decodeFloat :: Identity a -> (Integer, Int) # encodeFloat :: Integer -> Int -> Identity a # exponent :: Identity a -> Int # significand :: Identity a -> Identity a # scaleFloat :: Int -> Identity a -> Identity a # isNaN :: Identity a -> Bool # isInfinite :: Identity a -> Bool # isDenormalized :: Identity a -> Bool # isNegativeZero :: Identity a -> Bool # isIEEE :: Identity a -> Bool # atan2 :: Identity a -> Identity a -> Identity a #
RealFloat a => RealFloat (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods floatRadix :: Const a b -> Integer # floatDigits :: Const a b -> Int # floatRange :: Const a b -> (Int, Int) # decodeFloat :: Const a b -> (Integer, Int) # encodeFloat :: Integer -> Int -> Const a b # exponent :: Const a b -> Int # significand :: Const a b -> Const a b # scaleFloat :: Int -> Const a b -> Const a b # isNaN :: Const a b -> Bool # isInfinite :: Const a b -> Bool # isDenormalized :: Const a b -> Bool # isNegativeZero :: Const a b -> Bool # isIEEE :: Const a b -> Bool # atan2 :: Const a b -> Const a b -> Const a b #
RealFloat a => RealFloat (Tagged s a)
Instance details Defined in Data.Tagged Methods floatRadix :: Tagged s a -> Integer # floatDigits :: Tagged s a -> Int # floatRange :: Tagged s a -> (Int, Int) # decodeFloat :: Tagged s a -> (Integer, Int) # encodeFloat :: Integer -> Int -> Tagged s a # exponent :: Tagged s a -> Int # significand :: Tagged s a -> Tagged s a # scaleFloat :: Int -> Tagged s a -> Tagged s a # isNaN :: Tagged s a -> Bool # isInfinite :: Tagged s a -> Bool # isDenormalized :: Tagged s a -> Bool # isNegativeZero :: Tagged s a -> Bool # isIEEE :: Tagged s a -> Bool # atan2 :: Tagged s a -> Tagged s a -> Tagged s a #

class (Real a, Fractional a) => RealFrac a where #

Extracting components of fractions.

Minimal complete definition

properFraction

Methods

properFraction :: Integral b => a -> (b, a) #

The function properFraction takes a real fractional number x and returns a pair (n,f) such that x = n+f, and:

n is an integral number with the same sign as x; and
f is a fraction with the same type and sign as x, and with absolute value less than 1.

The default definitions of the ceiling, floor, truncate and round functions are in terms of properFraction.

truncate :: Integral b => a -> b #

truncate x returns the integer nearest x between zero and x

round :: Integral b => a -> b #

round x returns the nearest integer to x; the even integer if x is equidistant between two integers

ceiling :: Integral b => a -> b #

ceiling x returns the least integer not less than x

floor :: Integral b => a -> b #

floor x returns the greatest integer not greater than x

Instances

RealFrac Scientific	WARNING: the methods of the `RealFrac` instance need to compute the magnitude `10^e`. If applied to a huge exponent this could take a long time. Even worse, when the destination type is unbounded (i.e. `Integer`) it could fill up all space and crash your program!
Instance details Defined in Data.Scientific Methods properFraction :: Integral b => Scientific -> (b, Scientific) # truncate :: Integral b => Scientific -> b # round :: Integral b => Scientific -> b # ceiling :: Integral b => Scientific -> b # floor :: Integral b => Scientific -> b #
RealFrac CFloat
Instance details Defined in Foreign.C.Types Methods properFraction :: Integral b => CFloat -> (b, CFloat) # truncate :: Integral b => CFloat -> b # round :: Integral b => CFloat -> b # ceiling :: Integral b => CFloat -> b # floor :: Integral b => CFloat -> b #
RealFrac CDouble
Instance details Defined in Foreign.C.Types Methods properFraction :: Integral b => CDouble -> (b, CDouble) # truncate :: Integral b => CDouble -> b # round :: Integral b => CDouble -> b # ceiling :: Integral b => CDouble -> b # floor :: Integral b => CDouble -> b #
Integral a => RealFrac (Ratio a)	Since: base-2.0.1
Instance details Defined in GHC.Real Methods properFraction :: Integral b => Ratio a -> (b, Ratio a) # truncate :: Integral b => Ratio a -> b # round :: Integral b => Ratio a -> b # ceiling :: Integral b => Ratio a -> b # floor :: Integral b => Ratio a -> b #
RealFrac a => RealFrac (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods properFraction :: Integral b => Identity a -> (b, Identity a) # truncate :: Integral b => Identity a -> b # round :: Integral b => Identity a -> b # ceiling :: Integral b => Identity a -> b # floor :: Integral b => Identity a -> b #
RealFrac a => RealFrac (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods properFraction :: Integral b0 => Const a b -> (b0, Const a b) # truncate :: Integral b0 => Const a b -> b0 # round :: Integral b0 => Const a b -> b0 # ceiling :: Integral b0 => Const a b -> b0 # floor :: Integral b0 => Const a b -> b0 #
RealFrac a => RealFrac (Tagged s a)
Instance details Defined in Data.Tagged Methods properFraction :: Integral b => Tagged s a -> (b, Tagged s a) # truncate :: Integral b => Tagged s a -> b # round :: Integral b => Tagged s a -> b # ceiling :: Integral b => Tagged s a -> b # floor :: Integral b => Tagged s a -> b #

class Show a #

Conversion of values to readable Strings.

Derived instances of Show have the following properties, which are compatible with derived instances of Read:

The result of show is a syntactically correct Haskell expression containing only constants, given the fixity declarations in force at the point where the type is declared. It contains only the constructor names defined in the data type, parentheses, and spaces. When labelled constructor fields are used, braces, commas, field names, and equal signs are also used.
If the constructor is defined to be an infix operator, then showsPrec will produce infix applications of the constructor.
the representation will be enclosed in parentheses if the precedence of the top-level constructor in x is less than d (associativity is ignored). Thus, if d is 0 then the result is never surrounded in parentheses; if d is 11 it is always surrounded in parentheses, unless it is an atomic expression.
If the constructor is defined using record syntax, then show will produce the record-syntax form, with the fields given in the same order as the original declaration.

For example, given the declarations

infixr 5 :^:
data Tree a =  Leaf a  |  Tree a :^: Tree a

the derived instance of Show is equivalent to

instance (Show a) => Show (Tree a) where

       showsPrec d (Leaf m) = showParen (d > app_prec) $
            showString "Leaf " . showsPrec (app_prec+1) m
         where app_prec = 10

       showsPrec d (u :^: v) = showParen (d > up_prec) $
            showsPrec (up_prec+1) u .
            showString " :^: "      .
            showsPrec (up_prec+1) v
         where up_prec = 5

Note that right-associativity of :^: is ignored. For example,

show (Leaf 1 :^: Leaf 2 :^: Leaf 3) produces the string "Leaf 1 :^: (Leaf 2 :^: Leaf 3)".

Minimal complete definition

showsPrec | show

Instances

Show Bool	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> Bool -> ShowS # show :: Bool -> String # showList :: [Bool] -> ShowS #
Show Char	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> Char -> ShowS # show :: Char -> String # showList :: [Char] -> ShowS #
Show Int	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> Int -> ShowS # show :: Int -> String # showList :: [Int] -> ShowS #
Show Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods showsPrec :: Int -> Int8 -> ShowS # show :: Int8 -> String # showList :: [Int8] -> ShowS #
Show Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods showsPrec :: Int -> Int16 -> ShowS # show :: Int16 -> String # showList :: [Int16] -> ShowS #
Show Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods showsPrec :: Int -> Int32 -> ShowS # show :: Int32 -> String # showList :: [Int32] -> ShowS #
Show Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods showsPrec :: Int -> Int64 -> ShowS # show :: Int64 -> String # showList :: [Int64] -> ShowS #
Show Integer	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> Integer -> ShowS # show :: Integer -> String # showList :: [Integer] -> ShowS #
Show Natural	Since: base-4.8.0.0
Instance details Defined in GHC.Show Methods showsPrec :: Int -> Natural -> ShowS # show :: Natural -> String # showList :: [Natural] -> ShowS #
Show Ordering	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> Ordering -> ShowS # show :: Ordering -> String # showList :: [Ordering] -> ShowS #
Show Word	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> Word -> ShowS # show :: Word -> String # showList :: [Word] -> ShowS #
Show Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods showsPrec :: Int -> Word8 -> ShowS # show :: Word8 -> String # showList :: [Word8] -> ShowS #
Show Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods showsPrec :: Int -> Word16 -> ShowS # show :: Word16 -> String # showList :: [Word16] -> ShowS #
Show Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods showsPrec :: Int -> Word32 -> ShowS # show :: Word32 -> String # showList :: [Word32] -> ShowS #
Show Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods showsPrec :: Int -> Word64 -> ShowS # show :: Word64 -> String # showList :: [Word64] -> ShowS #
Show RuntimeRep	Since: base-4.11.0.0
Instance details Defined in GHC.Show Methods showsPrec :: Int -> RuntimeRep -> ShowS # show :: RuntimeRep -> String # showList :: [RuntimeRep] -> ShowS #
Show VecCount	Since: base-4.11.0.0
Instance details Defined in GHC.Show Methods showsPrec :: Int -> VecCount -> ShowS # show :: VecCount -> String # showList :: [VecCount] -> ShowS #
Show VecElem	Since: base-4.11.0.0
Instance details Defined in GHC.Show Methods showsPrec :: Int -> VecElem -> ShowS # show :: VecElem -> String # showList :: [VecElem] -> ShowS #
Show CallStack	Since: base-4.9.0.0
Instance details Defined in GHC.Show Methods showsPrec :: Int -> CallStack -> ShowS # show :: CallStack -> String # showList :: [CallStack] -> ShowS #
Show SomeTypeRep	Since: base-4.10.0.0
Instance details Defined in Data.Typeable.Internal Methods showsPrec :: Int -> SomeTypeRep -> ShowS # show :: SomeTypeRep -> String # showList :: [SomeTypeRep] -> ShowS #
Show Exp
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> Exp -> ShowS # show :: Exp -> String # showList :: [Exp] -> ShowS #
Show Match
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> Match -> ShowS # show :: Match -> String # showList :: [Match] -> ShowS #
Show Clause
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> Clause -> ShowS # show :: Clause -> String # showList :: [Clause] -> ShowS #
Show Pat
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> Pat -> ShowS # show :: Pat -> String # showList :: [Pat] -> ShowS #
Show Type
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> Type -> ShowS # show :: Type -> String # showList :: [Type] -> ShowS #
Show Dec
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> Dec -> ShowS # show :: Dec -> String # showList :: [Dec] -> ShowS #
Show Name
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> Name -> ShowS # show :: Name -> String # showList :: [Name] -> ShowS #
Show FunDep
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> FunDep -> ShowS # show :: FunDep -> String # showList :: [FunDep] -> ShowS #
Show InjectivityAnn
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> InjectivityAnn -> ShowS # show :: InjectivityAnn -> String # showList :: [InjectivityAnn] -> ShowS #
Show Overlap
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> Overlap -> ShowS # show :: Overlap -> String # showList :: [Overlap] -> ShowS #
Show ()	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> () -> ShowS # show :: () -> String # showList :: [()] -> ShowS #
Show TyCon	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> TyCon -> ShowS # show :: TyCon -> String # showList :: [TyCon] -> ShowS #
Show Module	Since: base-4.9.0.0
Instance details Defined in GHC.Show Methods showsPrec :: Int -> Module -> ShowS # show :: Module -> String # showList :: [Module] -> ShowS #
Show TrName	Since: base-4.9.0.0
Instance details Defined in GHC.Show Methods showsPrec :: Int -> TrName -> ShowS # show :: TrName -> String # showList :: [TrName] -> ShowS #
Show KindRep
Instance details Defined in GHC.Show Methods showsPrec :: Int -> KindRep -> ShowS # show :: KindRep -> String # showList :: [KindRep] -> ShowS #
Show TypeLitSort	Since: base-4.11.0.0
Instance details Defined in GHC.Show Methods showsPrec :: Int -> TypeLitSort -> ShowS # show :: TypeLitSort -> String # showList :: [TypeLitSort] -> ShowS #
Show StdGen
Instance details Defined in System.Random Methods showsPrec :: Int -> StdGen -> ShowS # show :: StdGen -> String # showList :: [StdGen] -> ShowS #
Show Con
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> Con -> ShowS # show :: Con -> String # showList :: [Con] -> ShowS #
Show ByteString
Instance details Defined in Data.ByteString.Internal Methods showsPrec :: Int -> ByteString -> ShowS # show :: ByteString -> String # showList :: [ByteString] -> ShowS #
Show ByteString
Instance details Defined in Data.ByteString.Lazy.Internal Methods showsPrec :: Int -> ByteString -> ShowS # show :: ByteString -> String # showList :: [ByteString] -> ShowS #
Show Scientific	See `formatScientific` if you need more control over the rendering.
Instance details Defined in Data.Scientific Methods showsPrec :: Int -> Scientific -> ShowS # show :: Scientific -> String # showList :: [Scientific] -> ShowS #
Show JSONPathElement
Instance details Defined in Data.Aeson.Types.Internal Methods showsPrec :: Int -> JSONPathElement -> ShowS # show :: JSONPathElement -> String # showList :: [JSONPathElement] -> ShowS #
Show Value
Instance details Defined in Data.Aeson.Types.Internal Methods showsPrec :: Int -> Value -> ShowS # show :: Value -> String # showList :: [Value] -> ShowS #
Show DotNetTime
Instance details Defined in Data.Aeson.Types.Internal Methods showsPrec :: Int -> DotNetTime -> ShowS # show :: DotNetTime -> String # showList :: [DotNetTime] -> ShowS #
Show Options
Instance details Defined in Data.Aeson.Types.Internal Methods showsPrec :: Int -> Options -> ShowS # show :: Options -> String # showList :: [Options] -> ShowS #
Show SumEncoding
Instance details Defined in Data.Aeson.Types.Internal Methods showsPrec :: Int -> SumEncoding -> ShowS # show :: SumEncoding -> String # showList :: [SumEncoding] -> ShowS #
Show Handle	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Handle.Types Methods showsPrec :: Int -> Handle -> ShowS # show :: Handle -> String # showList :: [Handle] -> ShowS #
Show ThreadId	Since: base-4.2.0.0
Instance details Defined in GHC.Conc.Sync Methods showsPrec :: Int -> ThreadId -> ShowS # show :: ThreadId -> String # showList :: [ThreadId] -> ShowS #
Show AsyncCancelled
Instance details Defined in Control.Concurrent.Async Methods showsPrec :: Int -> AsyncCancelled -> ShowS # show :: AsyncCancelled -> String # showList :: [AsyncCancelled] -> ShowS #
Show ExceptionInLinkedThread
Instance details Defined in Control.Concurrent.Async Methods showsPrec :: Int -> ExceptionInLinkedThread -> ShowS # show :: ExceptionInLinkedThread -> String # showList :: [ExceptionInLinkedThread] -> ShowS #
Show Pos
Instance details Defined in Data.Attoparsec.Internal.Types Methods showsPrec :: Int -> Pos -> ShowS # show :: Pos -> String # showList :: [Pos] -> ShowS #
Show More
Instance details Defined in Data.Attoparsec.Internal.Types Methods showsPrec :: Int -> More -> ShowS # show :: More -> String # showList :: [More] -> ShowS #
Show HandleType	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Handle.Types Methods showsPrec :: Int -> HandleType -> ShowS # show :: HandleType -> String # showList :: [HandleType] -> ShowS #
Show Void	Since: base-4.8.0.0
Instance details Defined in Data.Void Methods showsPrec :: Int -> Void -> ShowS # show :: Void -> String # showList :: [Void] -> ShowS #
Show StaticPtrInfo	Since: base-4.8.0.0
Instance details Defined in GHC.StaticPtr Methods showsPrec :: Int -> StaticPtrInfo -> ShowS # show :: StaticPtrInfo -> String # showList :: [StaticPtrInfo] -> ShowS #
Show PatternMatchFail	Since: base-4.0
Instance details Defined in Control.Exception.Base Methods showsPrec :: Int -> PatternMatchFail -> ShowS # show :: PatternMatchFail -> String # showList :: [PatternMatchFail] -> ShowS #
Show RecSelError	Since: base-4.0
Instance details Defined in Control.Exception.Base Methods showsPrec :: Int -> RecSelError -> ShowS # show :: RecSelError -> String # showList :: [RecSelError] -> ShowS #
Show RecConError	Since: base-4.0
Instance details Defined in Control.Exception.Base Methods showsPrec :: Int -> RecConError -> ShowS # show :: RecConError -> String # showList :: [RecConError] -> ShowS #
Show RecUpdError	Since: base-4.0
Instance details Defined in Control.Exception.Base Methods showsPrec :: Int -> RecUpdError -> ShowS # show :: RecUpdError -> String # showList :: [RecUpdError] -> ShowS #
Show NoMethodError	Since: base-4.0
Instance details Defined in Control.Exception.Base Methods showsPrec :: Int -> NoMethodError -> ShowS # show :: NoMethodError -> String # showList :: [NoMethodError] -> ShowS #
Show TypeError	Since: base-4.9.0.0
Instance details Defined in Control.Exception.Base Methods showsPrec :: Int -> TypeError -> ShowS # show :: TypeError -> String # showList :: [TypeError] -> ShowS #
Show NonTermination	Since: base-4.0
Instance details Defined in Control.Exception.Base Methods showsPrec :: Int -> NonTermination -> ShowS # show :: NonTermination -> String # showList :: [NonTermination] -> ShowS #
Show NestedAtomically	Since: base-4.0
Instance details Defined in Control.Exception.Base Methods showsPrec :: Int -> NestedAtomically -> ShowS # show :: NestedAtomically -> String # showList :: [NestedAtomically] -> ShowS #
Show BlockReason	Since: base-4.3.0.0
Instance details Defined in GHC.Conc.Sync Methods showsPrec :: Int -> BlockReason -> ShowS # show :: BlockReason -> String # showList :: [BlockReason] -> ShowS #
Show ThreadStatus	Since: base-4.3.0.0
Instance details Defined in GHC.Conc.Sync Methods showsPrec :: Int -> ThreadStatus -> ShowS # show :: ThreadStatus -> String # showList :: [ThreadStatus] -> ShowS #
Show CDev
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CDev -> ShowS # show :: CDev -> String # showList :: [CDev] -> ShowS #
Show CIno
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CIno -> ShowS # show :: CIno -> String # showList :: [CIno] -> ShowS #
Show CMode
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CMode -> ShowS # show :: CMode -> String # showList :: [CMode] -> ShowS #
Show COff
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> COff -> ShowS # show :: COff -> String # showList :: [COff] -> ShowS #
Show CPid
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CPid -> ShowS # show :: CPid -> String # showList :: [CPid] -> ShowS #
Show CSsize
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CSsize -> ShowS # show :: CSsize -> String # showList :: [CSsize] -> ShowS #
Show CGid
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CGid -> ShowS # show :: CGid -> String # showList :: [CGid] -> ShowS #
Show CNlink
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CNlink -> ShowS # show :: CNlink -> String # showList :: [CNlink] -> ShowS #
Show CUid
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CUid -> ShowS # show :: CUid -> String # showList :: [CUid] -> ShowS #
Show CCc
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CCc -> ShowS # show :: CCc -> String # showList :: [CCc] -> ShowS #
Show CSpeed
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CSpeed -> ShowS # show :: CSpeed -> String # showList :: [CSpeed] -> ShowS #
Show CTcflag
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CTcflag -> ShowS # show :: CTcflag -> String # showList :: [CTcflag] -> ShowS #
Show CRLim
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CRLim -> ShowS # show :: CRLim -> String # showList :: [CRLim] -> ShowS #
Show CBlkSize
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CBlkSize -> ShowS # show :: CBlkSize -> String # showList :: [CBlkSize] -> ShowS #
Show CBlkCnt
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CBlkCnt -> ShowS # show :: CBlkCnt -> String # showList :: [CBlkCnt] -> ShowS #
Show CClockId
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CClockId -> ShowS # show :: CClockId -> String # showList :: [CClockId] -> ShowS #
Show CFsBlkCnt
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CFsBlkCnt -> ShowS # show :: CFsBlkCnt -> String # showList :: [CFsBlkCnt] -> ShowS #
Show CFsFilCnt
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CFsFilCnt -> ShowS # show :: CFsFilCnt -> String # showList :: [CFsFilCnt] -> ShowS #
Show CId
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CId -> ShowS # show :: CId -> String # showList :: [CId] -> ShowS #
Show CKey
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CKey -> ShowS # show :: CKey -> String # showList :: [CKey] -> ShowS #
Show CTimer
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CTimer -> ShowS # show :: CTimer -> String # showList :: [CTimer] -> ShowS #
Show Fd
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> Fd -> ShowS # show :: Fd -> String # showList :: [Fd] -> ShowS #
Show BlockedIndefinitelyOnMVar	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods showsPrec :: Int -> BlockedIndefinitelyOnMVar -> ShowS # show :: BlockedIndefinitelyOnMVar -> String # showList :: [BlockedIndefinitelyOnMVar] -> ShowS #
Show BlockedIndefinitelyOnSTM	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods showsPrec :: Int -> BlockedIndefinitelyOnSTM -> ShowS # show :: BlockedIndefinitelyOnSTM -> String # showList :: [BlockedIndefinitelyOnSTM] -> ShowS #
Show Deadlock	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods showsPrec :: Int -> Deadlock -> ShowS # show :: Deadlock -> String # showList :: [Deadlock] -> ShowS #
Show AllocationLimitExceeded	Since: base-4.7.1.0
Instance details Defined in GHC.IO.Exception Methods showsPrec :: Int -> AllocationLimitExceeded -> ShowS # show :: AllocationLimitExceeded -> String # showList :: [AllocationLimitExceeded] -> ShowS #
Show CompactionFailed	Since: base-4.10.0.0
Instance details Defined in GHC.IO.Exception Methods showsPrec :: Int -> CompactionFailed -> ShowS # show :: CompactionFailed -> String # showList :: [CompactionFailed] -> ShowS #
Show AssertionFailed	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods showsPrec :: Int -> AssertionFailed -> ShowS # show :: AssertionFailed -> String # showList :: [AssertionFailed] -> ShowS #
Show SomeAsyncException	Since: base-4.7.0.0
Instance details Defined in GHC.IO.Exception Methods showsPrec :: Int -> SomeAsyncException -> ShowS # show :: SomeAsyncException -> String # showList :: [SomeAsyncException] -> ShowS #
Show AsyncException	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods showsPrec :: Int -> AsyncException -> ShowS # show :: AsyncException -> String # showList :: [AsyncException] -> ShowS #
Show ArrayException	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods showsPrec :: Int -> ArrayException -> ShowS # show :: ArrayException -> String # showList :: [ArrayException] -> ShowS #
Show FixIOException	Since: base-4.11.0.0
Instance details Defined in GHC.IO.Exception Methods showsPrec :: Int -> FixIOException -> ShowS # show :: FixIOException -> String # showList :: [FixIOException] -> ShowS #
Show ExitCode
Instance details Defined in GHC.IO.Exception Methods showsPrec :: Int -> ExitCode -> ShowS # show :: ExitCode -> String # showList :: [ExitCode] -> ShowS #
Show IOErrorType	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods showsPrec :: Int -> IOErrorType -> ShowS # show :: IOErrorType -> String # showList :: [IOErrorType] -> ShowS #
Show BufferMode	Since: base-4.2.0.0
Instance details Defined in GHC.IO.Handle.Types Methods showsPrec :: Int -> BufferMode -> ShowS # show :: BufferMode -> String # showList :: [BufferMode] -> ShowS #
Show Newline	Since: base-4.3.0.0
Instance details Defined in GHC.IO.Handle.Types Methods showsPrec :: Int -> Newline -> ShowS # show :: Newline -> String # showList :: [Newline] -> ShowS #
Show NewlineMode	Since: base-4.3.0.0
Instance details Defined in GHC.IO.Handle.Types Methods showsPrec :: Int -> NewlineMode -> ShowS # show :: NewlineMode -> String # showList :: [NewlineMode] -> ShowS #
Show MaskingState	Since: base-4.3.0.0
Instance details Defined in GHC.IO Methods showsPrec :: Int -> MaskingState -> ShowS # show :: MaskingState -> String # showList :: [MaskingState] -> ShowS #
Show IOException	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods showsPrec :: Int -> IOException -> ShowS # show :: IOException -> String # showList :: [IOException] -> ShowS #
Show ErrorCall	Since: base-4.0.0.0
Instance details Defined in GHC.Exception Methods showsPrec :: Int -> ErrorCall -> ShowS # show :: ErrorCall -> String # showList :: [ErrorCall] -> ShowS #
Show ArithException	Since: base-4.0.0.0
Instance details Defined in GHC.Exception.Type Methods showsPrec :: Int -> ArithException -> ShowS # show :: ArithException -> String # showList :: [ArithException] -> ShowS #
Show All	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods showsPrec :: Int -> All -> ShowS # show :: All -> String # showList :: [All] -> ShowS #
Show Any	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods showsPrec :: Int -> Any -> ShowS # show :: Any -> String # showList :: [Any] -> ShowS #
Show Fixity	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> Fixity -> ShowS # show :: Fixity -> String # showList :: [Fixity] -> ShowS #
Show Associativity	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> Associativity -> ShowS # show :: Associativity -> String # showList :: [Associativity] -> ShowS #
Show SourceUnpackedness	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> SourceUnpackedness -> ShowS # show :: SourceUnpackedness -> String # showList :: [SourceUnpackedness] -> ShowS #
Show SourceStrictness	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> SourceStrictness -> ShowS # show :: SourceStrictness -> String # showList :: [SourceStrictness] -> ShowS #
Show DecidedStrictness	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> DecidedStrictness -> ShowS # show :: DecidedStrictness -> String # showList :: [DecidedStrictness] -> ShowS #
Show SomeSymbol	Since: base-4.7.0.0
Instance details Defined in GHC.TypeLits Methods showsPrec :: Int -> SomeSymbol -> ShowS # show :: SomeSymbol -> String # showList :: [SomeSymbol] -> ShowS #
Show SomeNat	Since: base-4.7.0.0
Instance details Defined in GHC.TypeNats Methods showsPrec :: Int -> SomeNat -> ShowS # show :: SomeNat -> String # showList :: [SomeNat] -> ShowS #
Show CChar
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CChar -> ShowS # show :: CChar -> String # showList :: [CChar] -> ShowS #
Show CSChar
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CSChar -> ShowS # show :: CSChar -> String # showList :: [CSChar] -> ShowS #
Show CUChar
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CUChar -> ShowS # show :: CUChar -> String # showList :: [CUChar] -> ShowS #
Show CShort
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CShort -> ShowS # show :: CShort -> String # showList :: [CShort] -> ShowS #
Show CUShort
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CUShort -> ShowS # show :: CUShort -> String # showList :: [CUShort] -> ShowS #
Show CInt
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CInt -> ShowS # show :: CInt -> String # showList :: [CInt] -> ShowS #
Show CUInt
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CUInt -> ShowS # show :: CUInt -> String # showList :: [CUInt] -> ShowS #
Show CLong
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CLong -> ShowS # show :: CLong -> String # showList :: [CLong] -> ShowS #
Show CULong
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CULong -> ShowS # show :: CULong -> String # showList :: [CULong] -> ShowS #
Show CLLong
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CLLong -> ShowS # show :: CLLong -> String # showList :: [CLLong] -> ShowS #
Show CULLong
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CULLong -> ShowS # show :: CULLong -> String # showList :: [CULLong] -> ShowS #
Show CBool
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CBool -> ShowS # show :: CBool -> String # showList :: [CBool] -> ShowS #
Show CFloat
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CFloat -> ShowS # show :: CFloat -> String # showList :: [CFloat] -> ShowS #
Show CDouble
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CDouble -> ShowS # show :: CDouble -> String # showList :: [CDouble] -> ShowS #
Show CPtrdiff
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CPtrdiff -> ShowS # show :: CPtrdiff -> String # showList :: [CPtrdiff] -> ShowS #
Show CSize
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CSize -> ShowS # show :: CSize -> String # showList :: [CSize] -> ShowS #
Show CWchar
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CWchar -> ShowS # show :: CWchar -> String # showList :: [CWchar] -> ShowS #
Show CSigAtomic
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CSigAtomic -> ShowS # show :: CSigAtomic -> String # showList :: [CSigAtomic] -> ShowS #
Show CClock
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CClock -> ShowS # show :: CClock -> String # showList :: [CClock] -> ShowS #
Show CTime
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CTime -> ShowS # show :: CTime -> String # showList :: [CTime] -> ShowS #
Show CUSeconds
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CUSeconds -> ShowS # show :: CUSeconds -> String # showList :: [CUSeconds] -> ShowS #
Show CSUSeconds
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CSUSeconds -> ShowS # show :: CSUSeconds -> String # showList :: [CSUSeconds] -> ShowS #
Show CIntPtr
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CIntPtr -> ShowS # show :: CIntPtr -> String # showList :: [CIntPtr] -> ShowS #
Show CUIntPtr
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CUIntPtr -> ShowS # show :: CUIntPtr -> String # showList :: [CUIntPtr] -> ShowS #
Show CIntMax
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CIntMax -> ShowS # show :: CIntMax -> String # showList :: [CIntMax] -> ShowS #
Show CUIntMax
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CUIntMax -> ShowS # show :: CUIntMax -> String # showList :: [CUIntMax] -> ShowS #
Show WordPtr
Instance details Defined in Foreign.Ptr Methods showsPrec :: Int -> WordPtr -> ShowS # show :: WordPtr -> String # showList :: [WordPtr] -> ShowS #
Show IntPtr
Instance details Defined in Foreign.Ptr Methods showsPrec :: Int -> IntPtr -> ShowS # show :: IntPtr -> String # showList :: [IntPtr] -> ShowS #
Show IOMode	Since: base-4.2.0.0
Instance details Defined in GHC.IO.IOMode Methods showsPrec :: Int -> IOMode -> ShowS # show :: IOMode -> String # showList :: [IOMode] -> ShowS #
Show Lexeme	Since: base-2.1
Instance details Defined in Text.Read.Lex Methods showsPrec :: Int -> Lexeme -> ShowS # show :: Lexeme -> String # showList :: [Lexeme] -> ShowS #
Show Number	Since: base-4.6.0.0
Instance details Defined in Text.Read.Lex Methods showsPrec :: Int -> Number -> ShowS # show :: Number -> String # showList :: [Number] -> ShowS #
Show GeneralCategory	Since: base-2.1
Instance details Defined in GHC.Unicode Methods showsPrec :: Int -> GeneralCategory -> ShowS # show :: GeneralCategory -> String # showList :: [GeneralCategory] -> ShowS #
Show SrcLoc	Since: base-4.9.0.0
Instance details Defined in GHC.Show Methods showsPrec :: Int -> SrcLoc -> ShowS # show :: SrcLoc -> String # showList :: [SrcLoc] -> ShowS #
Show SomeException	Since: base-3.0
Instance details Defined in GHC.Exception.Type Methods showsPrec :: Int -> SomeException -> ShowS # show :: SomeException -> String # showList :: [SomeException] -> ShowS #
Show IntSet
Instance details Defined in Data.IntSet.Internal Methods showsPrec :: Int -> IntSet -> ShowS # show :: IntSet -> String # showList :: [IntSet] -> ShowS #
Show Extension
Instance details Defined in GHC.LanguageExtensions.Type Methods showsPrec :: Int -> Extension -> ShowS # show :: Extension -> String # showList :: [Extension] -> ShowS #
Show ForeignSrcLang
Instance details Defined in GHC.ForeignSrcLang.Type Methods showsPrec :: Int -> ForeignSrcLang -> ShowS # show :: ForeignSrcLang -> String # showList :: [ForeignSrcLang] -> ShowS #
Show TyVarBndr
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> TyVarBndr -> ShowS # show :: TyVarBndr -> String # showList :: [TyVarBndr] -> ShowS #
Show DefName
Instance details Defined in Control.Lens.Internal.FieldTH Methods showsPrec :: Int -> DefName -> ShowS # show :: DefName -> String # showList :: [DefName] -> ShowS #
Show Doc
Instance details Defined in Text.PrettyPrint.HughesPJ Methods showsPrec :: Int -> Doc -> ShowS # show :: Doc -> String # showList :: [Doc] -> ShowS #
Show TextDetails
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods showsPrec :: Int -> TextDetails -> ShowS # show :: TextDetails -> String # showList :: [TextDetails] -> ShowS #
Show Style
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods showsPrec :: Int -> Style -> ShowS # show :: Style -> String # showList :: [Style] -> ShowS #
Show Mode
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods showsPrec :: Int -> Mode -> ShowS # show :: Mode -> String # showList :: [Mode] -> ShowS #
Show ByteArray	Since: primitive-0.6.3.0
Instance details Defined in Data.Primitive.ByteArray Methods showsPrec :: Int -> ByteArray -> ShowS # show :: ByteArray -> String # showList :: [ByteArray] -> ShowS #
Show Addr
Instance details Defined in Data.Primitive.Types Methods showsPrec :: Int -> Addr -> ShowS # show :: Addr -> String # showList :: [Addr] -> ShowS #
Show FatalError
Instance details Defined in Protolude.Panic Methods showsPrec :: Int -> FatalError -> ShowS # show :: FatalError -> String # showList :: [FatalError] -> ShowS #
Show Leniency
Instance details Defined in Protolude.Conv Methods showsPrec :: Int -> Leniency -> ShowS # show :: Leniency -> String # showList :: [Leniency] -> ShowS #
Show UnicodeException
Instance details Defined in Data.Text.Encoding.Error Methods showsPrec :: Int -> UnicodeException -> ShowS # show :: UnicodeException -> String # showList :: [UnicodeException] -> ShowS #
Show ModName
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> ModName -> ShowS # show :: ModName -> String # showList :: [ModName] -> ShowS #
Show PkgName
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> PkgName -> ShowS # show :: PkgName -> String # showList :: [PkgName] -> ShowS #
Show Module
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> Module -> ShowS # show :: Module -> String # showList :: [Module] -> ShowS #
Show OccName
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> OccName -> ShowS # show :: OccName -> String # showList :: [OccName] -> ShowS #
Show NameFlavour
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> NameFlavour -> ShowS # show :: NameFlavour -> String # showList :: [NameFlavour] -> ShowS #
Show NameSpace
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> NameSpace -> ShowS # show :: NameSpace -> String # showList :: [NameSpace] -> ShowS #
Show Loc
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> Loc -> ShowS # show :: Loc -> String # showList :: [Loc] -> ShowS #
Show Info
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> Info -> ShowS # show :: Info -> String # showList :: [Info] -> ShowS #
Show ModuleInfo
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> ModuleInfo -> ShowS # show :: ModuleInfo -> String # showList :: [ModuleInfo] -> ShowS #
Show Fixity
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> Fixity -> ShowS # show :: Fixity -> String # showList :: [Fixity] -> ShowS #
Show FixityDirection
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> FixityDirection -> ShowS # show :: FixityDirection -> String # showList :: [FixityDirection] -> ShowS #
Show Lit
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> Lit -> ShowS # show :: Lit -> String # showList :: [Lit] -> ShowS #
Show Body
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> Body -> ShowS # show :: Body -> String # showList :: [Body] -> ShowS #
Show Guard
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> Guard -> ShowS # show :: Guard -> String # showList :: [Guard] -> ShowS #
Show Stmt
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> Stmt -> ShowS # show :: Stmt -> String # showList :: [Stmt] -> ShowS #
Show Range
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> Range -> ShowS # show :: Range -> String # showList :: [Range] -> ShowS #
Show DerivClause
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> DerivClause -> ShowS # show :: DerivClause -> String # showList :: [DerivClause] -> ShowS #
Show DerivStrategy
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> DerivStrategy -> ShowS # show :: DerivStrategy -> String # showList :: [DerivStrategy] -> ShowS #
Show TypeFamilyHead
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> TypeFamilyHead -> ShowS # show :: TypeFamilyHead -> String # showList :: [TypeFamilyHead] -> ShowS #
Show TySynEqn
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> TySynEqn -> ShowS # show :: TySynEqn -> String # showList :: [TySynEqn] -> ShowS #
Show Foreign
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> Foreign -> ShowS # show :: Foreign -> String # showList :: [Foreign] -> ShowS #
Show Callconv
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> Callconv -> ShowS # show :: Callconv -> String # showList :: [Callconv] -> ShowS #
Show Safety
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> Safety -> ShowS # show :: Safety -> String # showList :: [Safety] -> ShowS #
Show Pragma
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> Pragma -> ShowS # show :: Pragma -> String # showList :: [Pragma] -> ShowS #
Show Inline
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> Inline -> ShowS # show :: Inline -> String # showList :: [Inline] -> ShowS #
Show RuleMatch
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> RuleMatch -> ShowS # show :: RuleMatch -> String # showList :: [RuleMatch] -> ShowS #
Show Phases
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> Phases -> ShowS # show :: Phases -> String # showList :: [Phases] -> ShowS #
Show RuleBndr
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> RuleBndr -> ShowS # show :: RuleBndr -> String # showList :: [RuleBndr] -> ShowS #
Show AnnTarget
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> AnnTarget -> ShowS # show :: AnnTarget -> String # showList :: [AnnTarget] -> ShowS #
Show SourceUnpackedness
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> SourceUnpackedness -> ShowS # show :: SourceUnpackedness -> String # showList :: [SourceUnpackedness] -> ShowS #
Show SourceStrictness
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> SourceStrictness -> ShowS # show :: SourceStrictness -> String # showList :: [SourceStrictness] -> ShowS #
Show DecidedStrictness
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> DecidedStrictness -> ShowS # show :: DecidedStrictness -> String # showList :: [DecidedStrictness] -> ShowS #
Show Bang
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> Bang -> ShowS # show :: Bang -> String # showList :: [Bang] -> ShowS #
Show PatSynDir
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> PatSynDir -> ShowS # show :: PatSynDir -> String # showList :: [PatSynDir] -> ShowS #
Show PatSynArgs
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> PatSynArgs -> ShowS # show :: PatSynArgs -> String # showList :: [PatSynArgs] -> ShowS #
Show FamilyResultSig
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> FamilyResultSig -> ShowS # show :: FamilyResultSig -> String # showList :: [FamilyResultSig] -> ShowS #
Show TyLit
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> TyLit -> ShowS # show :: TyLit -> String # showList :: [TyLit] -> ShowS #
Show Role
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> Role -> ShowS # show :: Role -> String # showList :: [Role] -> ShowS #
Show AnnLookup
Instance details Defined in Language.Haskell.TH.Syntax Methods showsPrec :: Int -> AnnLookup -> ShowS # show :: AnnLookup -> String # showList :: [AnnLookup] -> ShowS #
Show Decoding
Instance details Defined in Data.Text.Encoding Methods showsPrec :: Int -> Decoding -> ShowS # show :: Decoding -> String # showList :: [Decoding] -> ShowS #
Show DatatypeInfo
Instance details Defined in Language.Haskell.TH.Datatype Methods showsPrec :: Int -> DatatypeInfo -> ShowS # show :: DatatypeInfo -> String # showList :: [DatatypeInfo] -> ShowS #
Show DatatypeVariant
Instance details Defined in Language.Haskell.TH.Datatype Methods showsPrec :: Int -> DatatypeVariant -> ShowS # show :: DatatypeVariant -> String # showList :: [DatatypeVariant] -> ShowS #
Show ConstructorInfo
Instance details Defined in Language.Haskell.TH.Datatype Methods showsPrec :: Int -> ConstructorInfo -> ShowS # show :: ConstructorInfo -> String # showList :: [ConstructorInfo] -> ShowS #
Show ConstructorVariant
Instance details Defined in Language.Haskell.TH.Datatype Methods showsPrec :: Int -> ConstructorVariant -> ShowS # show :: ConstructorVariant -> String # showList :: [ConstructorVariant] -> ShowS #
Show FieldStrictness
Instance details Defined in Language.Haskell.TH.Datatype Methods showsPrec :: Int -> FieldStrictness -> ShowS # show :: FieldStrictness -> String # showList :: [FieldStrictness] -> ShowS #
Show Unpackedness
Instance details Defined in Language.Haskell.TH.Datatype Methods showsPrec :: Int -> Unpackedness -> ShowS # show :: Unpackedness -> String # showList :: [Unpackedness] -> ShowS #
Show Strictness
Instance details Defined in Language.Haskell.TH.Datatype Methods showsPrec :: Int -> Strictness -> ShowS # show :: Strictness -> String # showList :: [Strictness] -> ShowS #
Show ZonedTime
Instance details Defined in Data.Time.LocalTime.Internal.ZonedTime Methods showsPrec :: Int -> ZonedTime -> ShowS # show :: ZonedTime -> String # showList :: [ZonedTime] -> ShowS #
Show LocalTime
Instance details Defined in Data.Time.LocalTime.Internal.LocalTime Methods showsPrec :: Int -> LocalTime -> ShowS # show :: LocalTime -> String # showList :: [LocalTime] -> ShowS #
Show TimeOfDay
Instance details Defined in Data.Time.LocalTime.Internal.TimeOfDay Methods showsPrec :: Int -> TimeOfDay -> ShowS # show :: TimeOfDay -> String # showList :: [TimeOfDay] -> ShowS #
Show TimeZone
Instance details Defined in Data.Time.LocalTime.Internal.TimeZone Methods showsPrec :: Int -> TimeZone -> ShowS # show :: TimeZone -> String # showList :: [TimeZone] -> ShowS #
Show UnpackedUUID
Instance details Defined in Data.UUID.Types.Internal Methods showsPrec :: Int -> UnpackedUUID -> ShowS # show :: UnpackedUUID -> String # showList :: [UnpackedUUID] -> ShowS #
Show UUID
Instance details Defined in Data.UUID.Types.Internal Methods showsPrec :: Int -> UUID -> ShowS # show :: UUID -> String # showList :: [UUID] -> ShowS #
Show DateFormatSpec
Instance details Defined in Data.Time.Format.Parse Methods showsPrec :: Int -> DateFormatSpec -> ShowS # show :: DateFormatSpec -> String # showList :: [DateFormatSpec] -> ShowS #
Show Padding
Instance details Defined in Data.Time.Format.Parse Methods showsPrec :: Int -> Padding -> ShowS # show :: Padding -> String # showList :: [Padding] -> ShowS #
Show CodePoint
Instance details Defined in Data.Text.Encoding Methods showsPrec :: Int -> CodePoint -> ShowS # show :: CodePoint -> String # showList :: [CodePoint] -> ShowS #
Show DecoderState
Instance details Defined in Data.Text.Encoding Methods showsPrec :: Int -> DecoderState -> ShowS # show :: DecoderState -> String # showList :: [DecoderState] -> ShowS #
Show a => Show [a]	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> [a] -> ShowS # show :: [a] -> String # showList :: [[a]] -> ShowS #
Show a => Show (Maybe a)	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> Maybe a -> ShowS # show :: Maybe a -> String # showList :: [Maybe a] -> ShowS #
Show a => Show (Ratio a)	Since: base-2.0.1
Instance details Defined in GHC.Real Methods showsPrec :: Int -> Ratio a -> ShowS # show :: Ratio a -> String # showList :: [Ratio a] -> ShowS #
Show (Ptr a)	Since: base-2.1
Instance details Defined in GHC.Ptr Methods showsPrec :: Int -> Ptr a -> ShowS # show :: Ptr a -> String # showList :: [Ptr a] -> ShowS #
Show (FunPtr a)	Since: base-2.1
Instance details Defined in GHC.Ptr Methods showsPrec :: Int -> FunPtr a -> ShowS # show :: FunPtr a -> String # showList :: [FunPtr a] -> ShowS #
Show p => Show (Par1 p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> Par1 p -> ShowS # show :: Par1 p -> String # showList :: [Par1 p] -> ShowS #
Show a => Show (IResult a)
Instance details Defined in Data.Aeson.Types.Internal Methods showsPrec :: Int -> IResult a -> ShowS # show :: IResult a -> String # showList :: [IResult a] -> ShowS #
Show a => Show (Result a)
Instance details Defined in Data.Aeson.Types.Internal Methods showsPrec :: Int -> Result a -> ShowS # show :: Result a -> String # showList :: [Result a] -> ShowS #
Show a => Show (Complex a)	Since: base-2.1
Instance details Defined in Data.Complex Methods showsPrec :: Int -> Complex a -> ShowS # show :: Complex a -> String # showList :: [Complex a] -> ShowS #
Show a => Show (Min a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods showsPrec :: Int -> Min a -> ShowS # show :: Min a -> String # showList :: [Min a] -> ShowS #
Show a => Show (Max a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods showsPrec :: Int -> Max a -> ShowS # show :: Max a -> String # showList :: [Max a] -> ShowS #
Show a => Show (First a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods showsPrec :: Int -> First a -> ShowS # show :: First a -> String # showList :: [First a] -> ShowS #
Show a => Show (Last a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods showsPrec :: Int -> Last a -> ShowS # show :: Last a -> String # showList :: [Last a] -> ShowS #
Show m => Show (WrappedMonoid m)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods showsPrec :: Int -> WrappedMonoid m -> ShowS # show :: WrappedMonoid m -> String # showList :: [WrappedMonoid m] -> ShowS #
Show a => Show (Option a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods showsPrec :: Int -> Option a -> ShowS # show :: Option a -> String # showList :: [Option a] -> ShowS #
Show a => Show (ZipList a)	Since: base-4.7.0.0
Instance details Defined in Control.Applicative Methods showsPrec :: Int -> ZipList a -> ShowS # show :: ZipList a -> String # showList :: [ZipList a] -> ShowS #
Show a => Show (Identity a)	This instance would be equivalent to the derived instances of the `Identity` newtype if the `runIdentity` field were removed Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity Methods showsPrec :: Int -> Identity a -> ShowS # show :: Identity a -> String # showList :: [Identity a] -> ShowS #
Show a => Show (First a)	Since: base-2.1
Instance details Defined in Data.Monoid Methods showsPrec :: Int -> First a -> ShowS # show :: First a -> String # showList :: [First a] -> ShowS #
Show a => Show (Last a)	Since: base-2.1
Instance details Defined in Data.Monoid Methods showsPrec :: Int -> Last a -> ShowS # show :: Last a -> String # showList :: [Last a] -> ShowS #
Show a => Show (Dual a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods showsPrec :: Int -> Dual a -> ShowS # show :: Dual a -> String # showList :: [Dual a] -> ShowS #
Show a => Show (Sum a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods showsPrec :: Int -> Sum a -> ShowS # show :: Sum a -> String # showList :: [Sum a] -> ShowS #
Show a => Show (Product a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods showsPrec :: Int -> Product a -> ShowS # show :: Product a -> String # showList :: [Product a] -> ShowS #
Show a => Show (Down a)	Since: base-4.7.0.0
Instance details Defined in Data.Ord Methods showsPrec :: Int -> Down a -> ShowS # show :: Down a -> String # showList :: [Down a] -> ShowS #
Show a => Show (NonEmpty a)	Since: base-4.11.0.0
Instance details Defined in GHC.Show Methods showsPrec :: Int -> NonEmpty a -> ShowS # show :: NonEmpty a -> String # showList :: [NonEmpty a] -> ShowS #
Show a => Show (IntMap a)
Instance details Defined in Data.IntMap.Internal Methods showsPrec :: Int -> IntMap a -> ShowS # show :: IntMap a -> String # showList :: [IntMap a] -> ShowS #
Show a => Show (Tree a)
Instance details Defined in Data.Tree Methods showsPrec :: Int -> Tree a -> ShowS # show :: Tree a -> String # showList :: [Tree a] -> ShowS #
Show a => Show (Seq a)
Instance details Defined in Data.Sequence.Internal Methods showsPrec :: Int -> Seq a -> ShowS # show :: Seq a -> String # showList :: [Seq a] -> ShowS #
Show a => Show (ViewL a)
Instance details Defined in Data.Sequence.Internal Methods showsPrec :: Int -> ViewL a -> ShowS # show :: ViewL a -> String # showList :: [ViewL a] -> ShowS #
Show a => Show (ViewR a)
Instance details Defined in Data.Sequence.Internal Methods showsPrec :: Int -> ViewR a -> ShowS # show :: ViewR a -> String # showList :: [ViewR a] -> ShowS #
Show a => Show (Set a)
Instance details Defined in Data.Set.Internal Methods showsPrec :: Int -> Set a -> ShowS # show :: Set a -> String # showList :: [Set a] -> ShowS #
Show a => Show (DList a)
Instance details Defined in Data.DList Methods showsPrec :: Int -> DList a -> ShowS # show :: DList a -> String # showList :: [DList a] -> ShowS #
Show a => Show (ExitCase a)
Instance details Defined in Control.Monad.Catch Methods showsPrec :: Int -> ExitCase a -> ShowS # show :: ExitCase a -> String # showList :: [ExitCase a] -> ShowS #
Show a => Show (Hashed a)
Instance details Defined in Data.Hashable.Class Methods showsPrec :: Int -> Hashed a -> ShowS # show :: Hashed a -> String # showList :: [Hashed a] -> ShowS #
(Show a, Prim a) => Show (Vector a)
Instance details Defined in Data.Vector.Primitive Methods showsPrec :: Int -> Vector a -> ShowS # show :: Vector a -> String # showList :: [Vector a] -> ShowS #
(Show a, Storable a) => Show (Vector a)
Instance details Defined in Data.Vector.Storable Methods showsPrec :: Int -> Vector a -> ShowS # show :: Vector a -> String # showList :: [Vector a] -> ShowS #
Show a => Show (HashSet a)
Instance details Defined in Data.HashSet Methods showsPrec :: Int -> HashSet a -> ShowS # show :: HashSet a -> String # showList :: [HashSet a] -> ShowS #
Show a => Show (Vector a)
Instance details Defined in Data.Vector Methods showsPrec :: Int -> Vector a -> ShowS # show :: Vector a -> String # showList :: [Vector a] -> ShowS #
Show (Doc a)
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods showsPrec :: Int -> Doc a -> ShowS # show :: Doc a -> String # showList :: [Doc a] -> ShowS #
Show a => Show (AnnotDetails a)
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods showsPrec :: Int -> AnnotDetails a -> ShowS # show :: AnnotDetails a -> String # showList :: [AnnotDetails a] -> ShowS #
Show a => Show (Span a)
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods showsPrec :: Int -> Span a -> ShowS # show :: Span a -> String # showList :: [Span a] -> ShowS #
(Show a, PrimUnlifted a) => Show (UnliftedArray a)	Since: primitive-0.6.4.0
Instance details Defined in Data.Primitive.UnliftedArray Methods showsPrec :: Int -> UnliftedArray a -> ShowS # show :: UnliftedArray a -> String # showList :: [UnliftedArray a] -> ShowS #
(Show a, Prim a) => Show (PrimArray a)	Since: primitive-0.6.4.0
Instance details Defined in Data.Primitive.PrimArray Methods showsPrec :: Int -> PrimArray a -> ShowS # show :: PrimArray a -> String # showList :: [PrimArray a] -> ShowS #
Show a => Show (SmallArray a)
Instance details Defined in Data.Primitive.SmallArray Methods showsPrec :: Int -> SmallArray a -> ShowS # show :: SmallArray a -> String # showList :: [SmallArray a] -> ShowS #
Show a => Show (Array a)
Instance details Defined in Data.Primitive.Array Methods showsPrec :: Int -> Array a -> ShowS # show :: Array a -> String # showList :: [Array a] -> ShowS #
(Show a, Show b) => Show (Either a b)	Since: base-3.0
Instance details Defined in Data.Either Methods showsPrec :: Int -> Either a b -> ShowS # show :: Either a b -> String # showList :: [Either a b] -> ShowS #
Show (V1 p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> V1 p -> ShowS # show :: V1 p -> String # showList :: [V1 p] -> ShowS #
Show (U1 p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> U1 p -> ShowS # show :: U1 p -> String # showList :: [U1 p] -> ShowS #
Show (TypeRep a)
Instance details Defined in Data.Typeable.Internal Methods showsPrec :: Int -> TypeRep a -> ShowS # show :: TypeRep a -> String # showList :: [TypeRep a] -> ShowS #
(Show a, Show b) => Show (a, b)	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> (a, b) -> ShowS # show :: (a, b) -> String # showList :: [(a, b)] -> ShowS #
(Show k, Show v) => Show (HashMap k v)
Instance details Defined in Data.HashMap.Base Methods showsPrec :: Int -> HashMap k v -> ShowS # show :: HashMap k v -> String # showList :: [HashMap k v] -> ShowS #
(Show k, Show a) => Show (Map k a)
Instance details Defined in Data.Map.Internal Methods showsPrec :: Int -> Map k a -> ShowS # show :: Map k a -> String # showList :: [Map k a] -> ShowS #
Show (ST s a)	Since: base-2.1
Instance details Defined in GHC.ST Methods showsPrec :: Int -> ST s a -> ShowS # show :: ST s a -> String # showList :: [ST s a] -> ShowS #
(Ix a, Show a, Show b) => Show (Array a b)	Since: base-2.1
Instance details Defined in GHC.Arr Methods showsPrec :: Int -> Array a b -> ShowS # show :: Array a b -> String # showList :: [Array a b] -> ShowS #
(Show i, Show r) => Show (IResult i r)
Instance details Defined in Data.Attoparsec.Internal.Types Methods showsPrec :: Int -> IResult i r -> ShowS # show :: IResult i r -> String # showList :: [IResult i r] -> ShowS #
(Show a, Show b) => Show (Arg a b)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods showsPrec :: Int -> Arg a b -> ShowS # show :: Arg a b -> String # showList :: [Arg a b] -> ShowS #
Show (Proxy s)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods showsPrec :: Int -> Proxy s -> ShowS # show :: Proxy s -> String # showList :: [Proxy s] -> ShowS #
(Show1 f, Show a) => Show (Cofree f a)
Instance details Defined in Control.Comonad.Cofree Methods showsPrec :: Int -> Cofree f a -> ShowS # show :: Cofree f a -> String # showList :: [Cofree f a] -> ShowS #
(Show1 f, Show a) => Show (Free f a)
Instance details Defined in Control.Monad.Free Methods showsPrec :: Int -> Free f a -> ShowS # show :: Free f a -> String # showList :: [Free f a] -> ShowS #
Show (f a) => Show (Yoneda f a)
Instance details Defined in Data.Functor.Yoneda Methods showsPrec :: Int -> Yoneda f a -> ShowS # show :: Yoneda f a -> String # showList :: [Yoneda f a] -> ShowS #
Show (f p) => Show (Rec1 f p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> Rec1 f p -> ShowS # show :: Rec1 f p -> String # showList :: [Rec1 f p] -> ShowS #
Show (URec Char p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> URec Char p -> ShowS # show :: URec Char p -> String # showList :: [URec Char p] -> ShowS #
Show (URec Double p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> URec Double p -> ShowS # show :: URec Double p -> String # showList :: [URec Double p] -> ShowS #
Show (URec Float p)
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> URec Float p -> ShowS # show :: URec Float p -> String # showList :: [URec Float p] -> ShowS #
Show (URec Int p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> URec Int p -> ShowS # show :: URec Int p -> String # showList :: [URec Int p] -> ShowS #
Show (URec Word p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> URec Word p -> ShowS # show :: URec Word p -> String # showList :: [URec Word p] -> ShowS #
(Show a, Show b, Show c) => Show (a, b, c)	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> (a, b, c) -> ShowS # show :: (a, b, c) -> String # showList :: [(a, b, c)] -> ShowS #
Show a => Show (Const a b)	This instance would be equivalent to the derived instances of the `Const` newtype if the `runConst` field were removed Since: base-4.8.0.0
Instance details Defined in Data.Functor.Const Methods showsPrec :: Int -> Const a b -> ShowS # show :: Const a b -> String # showList :: [Const a b] -> ShowS #
Show (f a) => Show (Ap f a)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid Methods showsPrec :: Int -> Ap f a -> ShowS # show :: Ap f a -> String # showList :: [Ap f a] -> ShowS #
Show (f a) => Show (Alt f a)	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods showsPrec :: Int -> Alt f a -> ShowS # show :: Alt f a -> String # showList :: [Alt f a] -> ShowS #
Show (Coercion a b)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Coercion Methods showsPrec :: Int -> Coercion a b -> ShowS # show :: Coercion a b -> String # showList :: [Coercion a b] -> ShowS #
Show (a :~: b)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Equality Methods showsPrec :: Int -> (a :~: b) -> ShowS # show :: (a :~: b) -> String # showList :: [a :~: b] -> ShowS #
Show (p a a) => Show (Join p a)
Instance details Defined in Data.Bifunctor.Join Methods showsPrec :: Int -> Join p a -> ShowS # show :: Join p a -> String # showList :: [Join p a] -> ShowS #
Show (p (Fix p a) a) => Show (Fix p a)
Instance details Defined in Data.Bifunctor.Fix Methods showsPrec :: Int -> Fix p a -> ShowS # show :: Fix p a -> String # showList :: [Fix p a] -> ShowS #
(Show e, Show1 m, Show a) => Show (ExceptT e m a)
Instance details Defined in Control.Monad.Trans.Except Methods showsPrec :: Int -> ExceptT e m a -> ShowS # show :: ExceptT e m a -> String # showList :: [ExceptT e m a] -> ShowS #
(Show a, Show (f b)) => Show (FreeF f a b)
Instance details Defined in Control.Monad.Trans.Free Methods showsPrec :: Int -> FreeF f a b -> ShowS # show :: FreeF f a b -> String # showList :: [FreeF f a b] -> ShowS #
(Show1 f, Show1 m, Show a) => Show (FreeT f m a)
Instance details Defined in Control.Monad.Trans.Free Methods showsPrec :: Int -> FreeT f m a -> ShowS # show :: FreeT f m a -> String # showList :: [FreeT f m a] -> ShowS #
(Show a, Show (f b)) => Show (CofreeF f a b)
Instance details Defined in Control.Comonad.Trans.Cofree Methods showsPrec :: Int -> CofreeF f a b -> ShowS # show :: CofreeF f a b -> String # showList :: [CofreeF f a b] -> ShowS #
Show (w (CofreeF f a (CofreeT f w a))) => Show (CofreeT f w a)
Instance details Defined in Control.Comonad.Trans.Cofree Methods showsPrec :: Int -> CofreeT f w a -> ShowS # show :: CofreeT f w a -> String # showList :: [CofreeT f w a] -> ShowS #
(Show e, Show1 m, Show a) => Show (ErrorT e m a)
Instance details Defined in Control.Monad.Trans.Error Methods showsPrec :: Int -> ErrorT e m a -> ShowS # show :: ErrorT e m a -> String # showList :: [ErrorT e m a] -> ShowS #
Show b => Show (Tagged s b)
Instance details Defined in Data.Tagged Methods showsPrec :: Int -> Tagged s b -> ShowS # show :: Tagged s b -> String # showList :: [Tagged s b] -> ShowS #
Show c => Show (K1 i c p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> K1 i c p -> ShowS # show :: K1 i c p -> String # showList :: [K1 i c p] -> ShowS #
(Show (f p), Show (g p)) => Show ((f :+: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> (f :+: g) p -> ShowS # show :: (f :+: g) p -> String # showList :: [(f :+: g) p] -> ShowS #
(Show (f p), Show (g p)) => Show ((f :*: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> (f :: g) p -> ShowS # show :: (f :: g) p -> String # showList :: [(f :*: g) p] -> ShowS #
(Show a, Show b, Show c, Show d) => Show (a, b, c, d)	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> (a, b, c, d) -> ShowS # show :: (a, b, c, d) -> String # showList :: [(a, b, c, d)] -> ShowS #
Show (a :~~: b)	Since: base-4.10.0.0
Instance details Defined in Data.Type.Equality Methods showsPrec :: Int -> (a :~~: b) -> ShowS # show :: (a :~~: b) -> String # showList :: [a :~~: b] -> ShowS #
Show (f p) => Show (M1 i c f p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> M1 i c f p -> ShowS # show :: M1 i c f p -> String # showList :: [M1 i c f p] -> ShowS #
Show (f (g p)) => Show ((f :.: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> (f :.: g) p -> ShowS # show :: (f :.: g) p -> String # showList :: [(f :.: g) p] -> ShowS #
(Show a, Show b, Show c, Show d, Show e) => Show (a, b, c, d, e)	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> (a, b, c, d, e) -> ShowS # show :: (a, b, c, d, e) -> String # showList :: [(a, b, c, d, e)] -> ShowS #
Show (p a b) => Show (WrappedBifunctor p a b)
Instance details Defined in Data.Bifunctor.Wrapped Methods showsPrec :: Int -> WrappedBifunctor p a b -> ShowS # show :: WrappedBifunctor p a b -> String # showList :: [WrappedBifunctor p a b] -> ShowS #
Show (g b) => Show (Joker g a b)
Instance details Defined in Data.Bifunctor.Joker Methods showsPrec :: Int -> Joker g a b -> ShowS # show :: Joker g a b -> String # showList :: [Joker g a b] -> ShowS #
Show (p b a) => Show (Flip p a b)
Instance details Defined in Data.Bifunctor.Flip Methods showsPrec :: Int -> Flip p a b -> ShowS # show :: Flip p a b -> String # showList :: [Flip p a b] -> ShowS #
Show (f a) => Show (Clown f a b)
Instance details Defined in Data.Bifunctor.Clown Methods showsPrec :: Int -> Clown f a b -> ShowS # show :: Clown f a b -> String # showList :: [Clown f a b] -> ShowS #
(Show a, Show b, Show c, Show d, Show e, Show f) => Show (a, b, c, d, e, f)	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> (a, b, c, d, e, f) -> ShowS # show :: (a, b, c, d, e, f) -> String # showList :: [(a, b, c, d, e, f)] -> ShowS #
(Show (p a b), Show (q a b)) => Show (Sum p q a b)
Instance details Defined in Data.Bifunctor.Sum Methods showsPrec :: Int -> Sum p q a b -> ShowS # show :: Sum p q a b -> String # showList :: [Sum p q a b] -> ShowS #
(Show (f a b), Show (g a b)) => Show (Product f g a b)
Instance details Defined in Data.Bifunctor.Product Methods showsPrec :: Int -> Product f g a b -> ShowS # show :: Product f g a b -> String # showList :: [Product f g a b] -> ShowS #
(Show a, Show b, Show c, Show d, Show e, Show f, Show g) => Show (a, b, c, d, e, f, g)	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> (a, b, c, d, e, f, g) -> ShowS # show :: (a, b, c, d, e, f, g) -> String # showList :: [(a, b, c, d, e, f, g)] -> ShowS #
Show (f (p a b)) => Show (Tannen f p a b)
Instance details Defined in Data.Bifunctor.Tannen Methods showsPrec :: Int -> Tannen f p a b -> ShowS # show :: Tannen f p a b -> String # showList :: [Tannen f p a b] -> ShowS #
(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h) => Show (a, b, c, d, e, f, g, h)	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> (a, b, c, d, e, f, g, h) -> ShowS # show :: (a, b, c, d, e, f, g, h) -> String # showList :: [(a, b, c, d, e, f, g, h)] -> ShowS #
(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h, Show i) => Show (a, b, c, d, e, f, g, h, i)	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> (a, b, c, d, e, f, g, h, i) -> ShowS # show :: (a, b, c, d, e, f, g, h, i) -> String # showList :: [(a, b, c, d, e, f, g, h, i)] -> ShowS #
Show (p (f a) (g b)) => Show (Biff p f g a b)
Instance details Defined in Data.Bifunctor.Biff Methods showsPrec :: Int -> Biff p f g a b -> ShowS # show :: Biff p f g a b -> String # showList :: [Biff p f g a b] -> ShowS #
(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h, Show i, Show j) => Show (a, b, c, d, e, f, g, h, i, j)	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j) -> ShowS # show :: (a, b, c, d, e, f, g, h, i, j) -> String # showList :: [(a, b, c, d, e, f, g, h, i, j)] -> ShowS #
(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h, Show i, Show j, Show k) => Show (a, b, c, d, e, f, g, h, i, j, k)	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j, k) -> ShowS # show :: (a, b, c, d, e, f, g, h, i, j, k) -> String # showList :: [(a, b, c, d, e, f, g, h, i, j, k)] -> ShowS #
(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h, Show i, Show j, Show k, Show l) => Show (a, b, c, d, e, f, g, h, i, j, k, l)	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j, k, l) -> ShowS # show :: (a, b, c, d, e, f, g, h, i, j, k, l) -> String # showList :: [(a, b, c, d, e, f, g, h, i, j, k, l)] -> ShowS #
(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h, Show i, Show j, Show k, Show l, Show m) => Show (a, b, c, d, e, f, g, h, i, j, k, l, m)	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> ShowS # show :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> String # showList :: [(a, b, c, d, e, f, g, h, i, j, k, l, m)] -> ShowS #
(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h, Show i, Show j, Show k, Show l, Show m, Show n) => Show (a, b, c, d, e, f, g, h, i, j, k, l, m, n)	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> ShowS # show :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> String # showList :: [(a, b, c, d, e, f, g, h, i, j, k, l, m, n)] -> ShowS #
(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h, Show i, Show j, Show k, Show l, Show m, Show n, Show o) => Show (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> ShowS # show :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> String # showList :: [(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)] -> ShowS #

class Typeable (a :: k) #

The class Typeable allows a concrete representation of a type to be calculated.

Minimal complete definition

typeRep#

class Monad m => MonadFix (m :: Type -> Type) where #

Monads having fixed points with a 'knot-tying' semantics. Instances of MonadFix should satisfy the following laws:

purity: mfix (return . h) = return (fix h)
left shrinking (or tightening): mfix (\x -> a >>= \y -> f x y) = a >>= \y -> mfix (\x -> f x y)
sliding: mfix (liftM h . f) = liftM h (mfix (f . h)), for strict h.
nesting: mfix (\x -> mfix (\y -> f x y)) = mfix (\x -> f x x)

This class is used in the translation of the recursive do notation supported by GHC and Hugs.

Methods

mfix :: (a -> m a) -> m a #

The fixed point of a monadic computation. mfix f executes the action f only once, with the eventual output fed back as the input. Hence f should not be strict, for then mfix f would diverge.

Instances

MonadFix []	Since: base-2.1
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> [a]) -> [a] #
MonadFix Maybe	Since: base-2.1
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> Maybe a) -> Maybe a #
MonadFix IO	Since: base-2.1
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> IO a) -> IO a #
MonadFix Par1	Since: base-4.9.0.0
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> Par1 a) -> Par1 a #
MonadFix Min	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods mfix :: (a -> Min a) -> Min a #
MonadFix Max	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods mfix :: (a -> Max a) -> Max a #
MonadFix First	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods mfix :: (a -> First a) -> First a #
MonadFix Last	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods mfix :: (a -> Last a) -> Last a #
MonadFix Option	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods mfix :: (a -> Option a) -> Option a #
MonadFix Identity	Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity Methods mfix :: (a -> Identity a) -> Identity a #
MonadFix First	Since: base-4.8.0.0
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> First a) -> First a #
MonadFix Last	Since: base-4.8.0.0
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> Last a) -> Last a #
MonadFix Dual	Since: base-4.8.0.0
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> Dual a) -> Dual a #
MonadFix Sum	Since: base-4.8.0.0
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> Sum a) -> Sum a #
MonadFix Product	Since: base-4.8.0.0
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> Product a) -> Product a #
MonadFix Down	Since: base-4.12.0.0
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> Down a) -> Down a #
MonadFix NonEmpty	Since: base-4.9.0.0
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> NonEmpty a) -> NonEmpty a #
MonadFix Tree	Since: containers-0.5.11
Instance details Defined in Data.Tree Methods mfix :: (a -> Tree a) -> Tree a #
MonadFix Seq	Since: containers-0.5.11
Instance details Defined in Data.Sequence.Internal Methods mfix :: (a -> Seq a) -> Seq a #
MonadFix SmallArray
Instance details Defined in Data.Primitive.SmallArray Methods mfix :: (a -> SmallArray a) -> SmallArray a #
MonadFix Array
Instance details Defined in Data.Primitive.Array Methods mfix :: (a -> Array a) -> Array a #
MonadFix (Either e)	Since: base-4.3.0.0
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> Either e a) -> Either e a #
MonadFix (ST s)	Since: base-2.1
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> ST s a) -> ST s a #
Functor f => MonadFix (Free f)
Instance details Defined in Control.Monad.Free Methods mfix :: (a -> Free f a) -> Free f a #
MonadFix m => MonadFix (Yoneda m)
Instance details Defined in Data.Functor.Yoneda Methods mfix :: (a -> Yoneda m a) -> Yoneda m a #
MonadFix f => MonadFix (Rec1 f)	Since: base-4.9.0.0
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> Rec1 f a) -> Rec1 f a #
MonadFix m => MonadFix (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods mfix :: (a -> RandT g m a) -> RandT g m a #
MonadFix f => MonadFix (Ap f)	Since: base-4.12.0.0
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> Ap f a) -> Ap f a #
MonadFix f => MonadFix (Alt f)	Since: base-4.8.0.0
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> Alt f a) -> Alt f a #
MonadFix m => MonadFix (ExceptT e m)
Instance details Defined in Control.Monad.Trans.Except Methods mfix :: (a -> ExceptT e m a) -> ExceptT e m a #
(MonadFix m, Error e) => MonadFix (ErrorT e m)
Instance details Defined in Control.Monad.Trans.Error Methods mfix :: (a -> ErrorT e m a) -> ErrorT e m a #
MonadFix m => MonadFix (StateT s m)
Instance details Defined in Control.Monad.Trans.State.Strict Methods mfix :: (a -> StateT s m a) -> StateT s m a #
MonadFix (Indexed i a)
Instance details Defined in Control.Lens.Internal.Indexed Methods mfix :: (a0 -> Indexed i a a0) -> Indexed i a a0 #
MonadFix m => MonadFix (StateT s m)
Instance details Defined in Control.Monad.Trans.State.Lazy Methods mfix :: (a -> StateT s m a) -> StateT s m a #
MonadFix ((->) r :: Type -> Type)	Since: base-2.1
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> r -> a) -> r -> a #
(MonadFix f, MonadFix g) => MonadFix (f :*: g)	Since: base-4.9.0.0
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> (f :: g) a) -> (f :: g) a #
MonadFix m => MonadFix (ReaderT r m)
Instance details Defined in Control.Monad.Trans.Reader Methods mfix :: (a -> ReaderT r m a) -> ReaderT r m a #
MonadFix f => MonadFix (M1 i c f)	Since: base-4.9.0.0
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> M1 i c f a) -> M1 i c f a #

class IsString a #

Class for string-like datastructures; used by the overloaded string extension (-XOverloadedStrings in GHC).

Minimal complete definition

fromString

Instances

IsString ByteString
Instance details Defined in Data.ByteString.Internal Methods fromString :: String -> ByteString #
IsString ByteString
Instance details Defined in Data.ByteString.Lazy.Internal Methods fromString :: String -> ByteString #
IsString Value
Instance details Defined in Data.Aeson.Types.Internal Methods fromString :: String -> Value #
IsString Doc
Instance details Defined in Text.PrettyPrint.HughesPJ Methods fromString :: String -> Doc #
a ~ Char => IsString [a]	`(a ~ Char)` context was introduced in `4.9.0.0` Since: base-2.1
Instance details Defined in Data.String Methods fromString :: String -> [a] #
IsString a => IsString (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.String Methods fromString :: String -> Identity a #
a ~ Char => IsString (Seq a)	Since: containers-0.5.7
Instance details Defined in Data.Sequence.Internal Methods fromString :: String -> Seq a #
a ~ Char => IsString (DList a)
Instance details Defined in Data.DList Methods fromString :: String -> DList a #
(IsString a, Hashable a) => IsString (Hashed a)
Instance details Defined in Data.Hashable.Class Methods fromString :: String -> Hashed a #
IsString (Doc a)
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods fromString :: String -> Doc a #
IsString a => IsString (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.String Methods fromString :: String -> Const a b #
IsString a => IsString (Tagged s a)
Instance details Defined in Data.Tagged Methods fromString :: String -> Tagged s a #

class Functor f => Applicative (f :: Type -> Type) where #

A functor with application, providing operations to

embed pure expressions (pure), and
sequence computations and combine their results (<*> and liftA2).

A minimal complete definition must include implementations of pure and of either <*> or liftA2. If it defines both, then they must behave the same as their default definitions:

(<*>) = liftA2 id

liftA2 f x y = f <$> x <*> y

Further, any definition must satisfy the following:

identity

pure id <*> v = v

composition

pure (.) <*> u <*> v <*> w = u <*> (v <*> w)

homomorphism

pure f <*> pure x = pure (f x)

interchange

u <*> pure y = pure ($ y) <*> u

The other methods have the following default definitions, which may be overridden with equivalent specialized implementations:

```
u *> v = (id <$ u) <*> v
```
```
u <* v = liftA2 const u v
```

As a consequence of these laws, the Functor instance for f will satisfy

```
fmap f x = pure f <*> x
```

It may be useful to note that supposing

forall x y. p (q x y) = f x . g y

it follows from the above that

liftA2 p (liftA2 q u v) = liftA2 f u . liftA2 g v

If f is also a Monad, it should satisfy

```
pure = return
```
```
(<*>) = ap
```
```
(*>) = (>>)
```

(which implies that pure and <*> satisfy the applicative functor laws).

Minimal complete definition

pure, ((<*>) | liftA2)

Methods

pure :: a -> f a #

Lift a value.

(<*>) :: f (a -> b) -> f a -> f b infixl 4 #

Sequential application.

A few functors support an implementation of <*> that is more efficient than the default one.

liftA2 :: (a -> b -> c) -> f a -> f b -> f c #

Lift a binary function to actions.

Some functors support an implementation of liftA2 that is more efficient than the default one. In particular, if fmap is an expensive operation, it is likely better to use liftA2 than to fmap over the structure and then use <*>.

(*>) :: f a -> f b -> f b infixl 4 #

Sequence actions, discarding the value of the first argument.

(<*) :: f a -> f b -> f a infixl 4 #

Sequence actions, discarding the value of the second argument.

Instances

Applicative []	Since: base-2.1
Instance details Defined in GHC.Base Methods pure :: a -> [a] # (<>) :: [a -> b] -> [a] -> [b] # liftA2 :: (a -> b -> c) -> [a] -> [b] -> [c] # (>) :: [a] -> [b] -> [b] # (<*) :: [a] -> [b] -> [a] #
Applicative Maybe	Since: base-2.1
Instance details Defined in GHC.Base Methods pure :: a -> Maybe a # (<>) :: Maybe (a -> b) -> Maybe a -> Maybe b # liftA2 :: (a -> b -> c) -> Maybe a -> Maybe b -> Maybe c # (>) :: Maybe a -> Maybe b -> Maybe b # (<*) :: Maybe a -> Maybe b -> Maybe a #
Applicative IO	Since: base-2.1
Instance details Defined in GHC.Base Methods pure :: a -> IO a # (<>) :: IO (a -> b) -> IO a -> IO b # liftA2 :: (a -> b -> c) -> IO a -> IO b -> IO c # (>) :: IO a -> IO b -> IO b # (<*) :: IO a -> IO b -> IO a #
Applicative Par1	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods pure :: a -> Par1 a # (<>) :: Par1 (a -> b) -> Par1 a -> Par1 b # liftA2 :: (a -> b -> c) -> Par1 a -> Par1 b -> Par1 c # (>) :: Par1 a -> Par1 b -> Par1 b # (<*) :: Par1 a -> Par1 b -> Par1 a #
Applicative Q
Instance details Defined in Language.Haskell.TH.Syntax Methods pure :: a -> Q a # (<>) :: Q (a -> b) -> Q a -> Q b # liftA2 :: (a -> b -> c) -> Q a -> Q b -> Q c # (>) :: Q a -> Q b -> Q b # (<*) :: Q a -> Q b -> Q a #
Applicative IResult
Instance details Defined in Data.Aeson.Types.Internal Methods pure :: a -> IResult a # (<>) :: IResult (a -> b) -> IResult a -> IResult b # liftA2 :: (a -> b -> c) -> IResult a -> IResult b -> IResult c # (>) :: IResult a -> IResult b -> IResult b # (<*) :: IResult a -> IResult b -> IResult a #
Applicative Result
Instance details Defined in Data.Aeson.Types.Internal Methods pure :: a -> Result a # (<>) :: Result (a -> b) -> Result a -> Result b # liftA2 :: (a -> b -> c) -> Result a -> Result b -> Result c # (>) :: Result a -> Result b -> Result b # (<*) :: Result a -> Result b -> Result a #
Applicative Parser
Instance details Defined in Data.Aeson.Types.Internal Methods pure :: a -> Parser a # (<>) :: Parser (a -> b) -> Parser a -> Parser b # liftA2 :: (a -> b -> c) -> Parser a -> Parser b -> Parser c # (>) :: Parser a -> Parser b -> Parser b # (<*) :: Parser a -> Parser b -> Parser a #
Applicative Concurrently
Instance details Defined in Control.Concurrent.Async Methods pure :: a -> Concurrently a # (<>) :: Concurrently (a -> b) -> Concurrently a -> Concurrently b # liftA2 :: (a -> b -> c) -> Concurrently a -> Concurrently b -> Concurrently c # (>) :: Concurrently a -> Concurrently b -> Concurrently b # (<*) :: Concurrently a -> Concurrently b -> Concurrently a #
Applicative Complex	Since: base-4.9.0.0
Instance details Defined in Data.Complex Methods pure :: a -> Complex a # (<>) :: Complex (a -> b) -> Complex a -> Complex b # liftA2 :: (a -> b -> c) -> Complex a -> Complex b -> Complex c # (>) :: Complex a -> Complex b -> Complex b # (<*) :: Complex a -> Complex b -> Complex a #
Applicative Min	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods pure :: a -> Min a # (<>) :: Min (a -> b) -> Min a -> Min b # liftA2 :: (a -> b -> c) -> Min a -> Min b -> Min c # (>) :: Min a -> Min b -> Min b # (<*) :: Min a -> Min b -> Min a #
Applicative Max	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods pure :: a -> Max a # (<>) :: Max (a -> b) -> Max a -> Max b # liftA2 :: (a -> b -> c) -> Max a -> Max b -> Max c # (>) :: Max a -> Max b -> Max b # (<*) :: Max a -> Max b -> Max a #
Applicative First	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods pure :: a -> First a # (<>) :: First (a -> b) -> First a -> First b # liftA2 :: (a -> b -> c) -> First a -> First b -> First c # (>) :: First a -> First b -> First b # (<*) :: First a -> First b -> First a #
Applicative Last	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods pure :: a -> Last a # (<>) :: Last (a -> b) -> Last a -> Last b # liftA2 :: (a -> b -> c) -> Last a -> Last b -> Last c # (>) :: Last a -> Last b -> Last b # (<*) :: Last a -> Last b -> Last a #
Applicative Option	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods pure :: a -> Option a # (<>) :: Option (a -> b) -> Option a -> Option b # liftA2 :: (a -> b -> c) -> Option a -> Option b -> Option c # (>) :: Option a -> Option b -> Option b # (<*) :: Option a -> Option b -> Option a #
Applicative ZipList	f '<$>' 'ZipList' xs1 '<>' ... '<>' 'ZipList' xsN = 'ZipList' (zipWithN f xs1 ... xsN) where `zipWithN` refers to the `zipWith` function of the appropriate arity (`zipWith`, `zipWith3`, `zipWith4`, ...). For example: (\a b c -> stimes c [a, b]) <$> ZipList "abcd" <> ZipList "567" <> ZipList [1..] = ZipList (zipWith3 (\a b c -> stimes c [a, b]) "abcd" "567" [1..]) = ZipList {getZipList = ["a5","b6b6","c7c7c7"]} Since: base-2.1
Instance details Defined in Control.Applicative Methods pure :: a -> ZipList a # (<>) :: ZipList (a -> b) -> ZipList a -> ZipList b # liftA2 :: (a -> b -> c) -> ZipList a -> ZipList b -> ZipList c # (>) :: ZipList a -> ZipList b -> ZipList b # (<*) :: ZipList a -> ZipList b -> ZipList a #
Applicative Identity	Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity Methods pure :: a -> Identity a # (<>) :: Identity (a -> b) -> Identity a -> Identity b # liftA2 :: (a -> b -> c) -> Identity a -> Identity b -> Identity c # (>) :: Identity a -> Identity b -> Identity b # (<*) :: Identity a -> Identity b -> Identity a #
Applicative STM	Since: base-4.8.0.0
Instance details Defined in GHC.Conc.Sync Methods pure :: a -> STM a # (<>) :: STM (a -> b) -> STM a -> STM b # liftA2 :: (a -> b -> c) -> STM a -> STM b -> STM c # (>) :: STM a -> STM b -> STM b # (<*) :: STM a -> STM b -> STM a #
Applicative First	Since: base-4.8.0.0
Instance details Defined in Data.Monoid Methods pure :: a -> First a # (<>) :: First (a -> b) -> First a -> First b # liftA2 :: (a -> b -> c) -> First a -> First b -> First c # (>) :: First a -> First b -> First b # (<*) :: First a -> First b -> First a #
Applicative Last	Since: base-4.8.0.0
Instance details Defined in Data.Monoid Methods pure :: a -> Last a # (<>) :: Last (a -> b) -> Last a -> Last b # liftA2 :: (a -> b -> c) -> Last a -> Last b -> Last c # (>) :: Last a -> Last b -> Last b # (<*) :: Last a -> Last b -> Last a #
Applicative Dual	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods pure :: a -> Dual a # (<>) :: Dual (a -> b) -> Dual a -> Dual b # liftA2 :: (a -> b -> c) -> Dual a -> Dual b -> Dual c # (>) :: Dual a -> Dual b -> Dual b # (<*) :: Dual a -> Dual b -> Dual a #
Applicative Sum	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods pure :: a -> Sum a # (<>) :: Sum (a -> b) -> Sum a -> Sum b # liftA2 :: (a -> b -> c) -> Sum a -> Sum b -> Sum c # (>) :: Sum a -> Sum b -> Sum b # (<*) :: Sum a -> Sum b -> Sum a #
Applicative Product	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods pure :: a -> Product a # (<>) :: Product (a -> b) -> Product a -> Product b # liftA2 :: (a -> b -> c) -> Product a -> Product b -> Product c # (>) :: Product a -> Product b -> Product b # (<*) :: Product a -> Product b -> Product a #
Applicative Down	Since: base-4.11.0.0
Instance details Defined in Data.Ord Methods pure :: a -> Down a # (<>) :: Down (a -> b) -> Down a -> Down b # liftA2 :: (a -> b -> c) -> Down a -> Down b -> Down c # (>) :: Down a -> Down b -> Down b # (<*) :: Down a -> Down b -> Down a #
Applicative ReadP	Since: base-4.6.0.0
Instance details Defined in Text.ParserCombinators.ReadP Methods pure :: a -> ReadP a # (<>) :: ReadP (a -> b) -> ReadP a -> ReadP b # liftA2 :: (a -> b -> c) -> ReadP a -> ReadP b -> ReadP c # (>) :: ReadP a -> ReadP b -> ReadP b # (<*) :: ReadP a -> ReadP b -> ReadP a #
Applicative NonEmpty	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods pure :: a -> NonEmpty a # (<>) :: NonEmpty (a -> b) -> NonEmpty a -> NonEmpty b # liftA2 :: (a -> b -> c) -> NonEmpty a -> NonEmpty b -> NonEmpty c # (>) :: NonEmpty a -> NonEmpty b -> NonEmpty b # (<*) :: NonEmpty a -> NonEmpty b -> NonEmpty a #
Applicative Put
Instance details Defined in Data.ByteString.Builder.Internal Methods pure :: a -> Put a # (<>) :: Put (a -> b) -> Put a -> Put b # liftA2 :: (a -> b -> c) -> Put a -> Put b -> Put c # (>) :: Put a -> Put b -> Put b # (<*) :: Put a -> Put b -> Put a #
Applicative Tree
Instance details Defined in Data.Tree Methods pure :: a -> Tree a # (<>) :: Tree (a -> b) -> Tree a -> Tree b # liftA2 :: (a -> b -> c) -> Tree a -> Tree b -> Tree c # (>) :: Tree a -> Tree b -> Tree b # (<*) :: Tree a -> Tree b -> Tree a #
Applicative Seq	Since: containers-0.5.4
Instance details Defined in Data.Sequence.Internal Methods pure :: a -> Seq a # (<>) :: Seq (a -> b) -> Seq a -> Seq b # liftA2 :: (a -> b -> c) -> Seq a -> Seq b -> Seq c # (>) :: Seq a -> Seq b -> Seq b # (<*) :: Seq a -> Seq b -> Seq a #
Applicative DList
Instance details Defined in Data.DList Methods pure :: a -> DList a # (<>) :: DList (a -> b) -> DList a -> DList b # liftA2 :: (a -> b -> c) -> DList a -> DList b -> DList c # (>) :: DList a -> DList b -> DList b # (<*) :: DList a -> DList b -> DList a #
Applicative Vector
Instance details Defined in Data.Vector Methods pure :: a -> Vector a # (<>) :: Vector (a -> b) -> Vector a -> Vector b # liftA2 :: (a -> b -> c) -> Vector a -> Vector b -> Vector c # (>) :: Vector a -> Vector b -> Vector b # (<*) :: Vector a -> Vector b -> Vector a #
Applicative SmallArray
Instance details Defined in Data.Primitive.SmallArray Methods pure :: a -> SmallArray a # (<>) :: SmallArray (a -> b) -> SmallArray a -> SmallArray b # liftA2 :: (a -> b -> c) -> SmallArray a -> SmallArray b -> SmallArray c # (>) :: SmallArray a -> SmallArray b -> SmallArray b # (<*) :: SmallArray a -> SmallArray b -> SmallArray a #
Applicative Array
Instance details Defined in Data.Primitive.Array Methods pure :: a -> Array a # (<>) :: Array (a -> b) -> Array a -> Array b # liftA2 :: (a -> b -> c) -> Array a -> Array b -> Array c # (>) :: Array a -> Array b -> Array b # (<*) :: Array a -> Array b -> Array a #
Applicative P	Since: base-4.5.0.0
Instance details Defined in Text.ParserCombinators.ReadP Methods pure :: a -> P a # (<>) :: P (a -> b) -> P a -> P b # liftA2 :: (a -> b -> c) -> P a -> P b -> P c # (>) :: P a -> P b -> P b # (<*) :: P a -> P b -> P a #
Applicative (Either e)	Since: base-3.0
Instance details Defined in Data.Either Methods pure :: a -> Either e a # (<>) :: Either e (a -> b) -> Either e a -> Either e b # liftA2 :: (a -> b -> c) -> Either e a -> Either e b -> Either e c # (>) :: Either e a -> Either e b -> Either e b # (<*) :: Either e a -> Either e b -> Either e a #
Applicative (U1 :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods pure :: a -> U1 a # (<>) :: U1 (a -> b) -> U1 a -> U1 b # liftA2 :: (a -> b -> c) -> U1 a -> U1 b -> U1 c # (>) :: U1 a -> U1 b -> U1 b # (<*) :: U1 a -> U1 b -> U1 a #
Monoid a => Applicative ((,) a)	For tuples, the `Monoid` constraint on `a` determines how the first values merge. For example, `String`s concatenate: ("hello ", (+15)) <> ("world!", 2002) ("hello world!",2017) Since: base-2.1*
Instance details Defined in GHC.Base Methods pure :: a0 -> (a, a0) # (<>) :: (a, a0 -> b) -> (a, a0) -> (a, b) # liftA2 :: (a0 -> b -> c) -> (a, a0) -> (a, b) -> (a, c) # (>) :: (a, a0) -> (a, b) -> (a, b) # (<*) :: (a, a0) -> (a, b) -> (a, a0) #
Representable f => Applicative (Co f)
Instance details Defined in Data.Functor.Rep Methods pure :: a -> Co f a # (<>) :: Co f (a -> b) -> Co f a -> Co f b # liftA2 :: (a -> b -> c) -> Co f a -> Co f b -> Co f c # (>) :: Co f a -> Co f b -> Co f b # (<*) :: Co f a -> Co f b -> Co f a #
Applicative (ST s)	Since: base-4.4.0.0
Instance details Defined in GHC.ST Methods pure :: a -> ST s a # (<>) :: ST s (a -> b) -> ST s a -> ST s b # liftA2 :: (a -> b -> c) -> ST s a -> ST s b -> ST s c # (>) :: ST s a -> ST s b -> ST s b # (<*) :: ST s a -> ST s b -> ST s a #
Applicative (Parser i)
Instance details Defined in Data.Attoparsec.Internal.Types Methods pure :: a -> Parser i a # (<>) :: Parser i (a -> b) -> Parser i a -> Parser i b # liftA2 :: (a -> b -> c) -> Parser i a -> Parser i b -> Parser i c # (>) :: Parser i a -> Parser i b -> Parser i b # (<*) :: Parser i a -> Parser i b -> Parser i a #
Monad m => Applicative (WrappedMonad m)	Since: base-2.1
Instance details Defined in Control.Applicative Methods pure :: a -> WrappedMonad m a # (<>) :: WrappedMonad m (a -> b) -> WrappedMonad m a -> WrappedMonad m b # liftA2 :: (a -> b -> c) -> WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m c # (>) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m b # (<*) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m a #
Applicative (Proxy :: Type -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods pure :: a -> Proxy a # (<>) :: Proxy (a -> b) -> Proxy a -> Proxy b # liftA2 :: (a -> b -> c) -> Proxy a -> Proxy b -> Proxy c # (>) :: Proxy a -> Proxy b -> Proxy b # (<*) :: Proxy a -> Proxy b -> Proxy a #
Alternative f => Applicative (Cofree f)
Instance details Defined in Control.Comonad.Cofree Methods pure :: a -> Cofree f a # (<>) :: Cofree f (a -> b) -> Cofree f a -> Cofree f b # liftA2 :: (a -> b -> c) -> Cofree f a -> Cofree f b -> Cofree f c # (>) :: Cofree f a -> Cofree f b -> Cofree f b # (<*) :: Cofree f a -> Cofree f b -> Cofree f a #
Functor f => Applicative (Free f)
Instance details Defined in Control.Monad.Free Methods pure :: a -> Free f a # (<>) :: Free f (a -> b) -> Free f a -> Free f b # liftA2 :: (a -> b -> c) -> Free f a -> Free f b -> Free f c # (>) :: Free f a -> Free f b -> Free f b # (<*) :: Free f a -> Free f b -> Free f a #
Applicative f => Applicative (Yoneda f)
Instance details Defined in Data.Functor.Yoneda Methods pure :: a -> Yoneda f a # (<>) :: Yoneda f (a -> b) -> Yoneda f a -> Yoneda f b # liftA2 :: (a -> b -> c) -> Yoneda f a -> Yoneda f b -> Yoneda f c # (>) :: Yoneda f a -> Yoneda f b -> Yoneda f b # (<*) :: Yoneda f a -> Yoneda f b -> Yoneda f a #
Applicative (ReifiedGetter s)
Instance details Defined in Control.Lens.Reified Methods pure :: a -> ReifiedGetter s a # (<>) :: ReifiedGetter s (a -> b) -> ReifiedGetter s a -> ReifiedGetter s b # liftA2 :: (a -> b -> c) -> ReifiedGetter s a -> ReifiedGetter s b -> ReifiedGetter s c # (>) :: ReifiedGetter s a -> ReifiedGetter s b -> ReifiedGetter s b # (<*) :: ReifiedGetter s a -> ReifiedGetter s b -> ReifiedGetter s a #
Applicative (ReifiedFold s)
Instance details Defined in Control.Lens.Reified Methods pure :: a -> ReifiedFold s a # (<>) :: ReifiedFold s (a -> b) -> ReifiedFold s a -> ReifiedFold s b # liftA2 :: (a -> b -> c) -> ReifiedFold s a -> ReifiedFold s b -> ReifiedFold s c # (>) :: ReifiedFold s a -> ReifiedFold s b -> ReifiedFold s b # (<*) :: ReifiedFold s a -> ReifiedFold s b -> ReifiedFold s a #
Applicative f => Applicative (Indexing f)
Instance details Defined in Control.Lens.Internal.Indexed Methods pure :: a -> Indexing f a # (<>) :: Indexing f (a -> b) -> Indexing f a -> Indexing f b # liftA2 :: (a -> b -> c) -> Indexing f a -> Indexing f b -> Indexing f c # (>) :: Indexing f a -> Indexing f b -> Indexing f b # (<*) :: Indexing f a -> Indexing f b -> Indexing f a #
Applicative f => Applicative (Indexing64 f)
Instance details Defined in Control.Lens.Internal.Indexed Methods pure :: a -> Indexing64 f a # (<>) :: Indexing64 f (a -> b) -> Indexing64 f a -> Indexing64 f b # liftA2 :: (a -> b -> c) -> Indexing64 f a -> Indexing64 f b -> Indexing64 f c # (>) :: Indexing64 f a -> Indexing64 f b -> Indexing64 f b # (<*) :: Indexing64 f a -> Indexing64 f b -> Indexing64 f a #
(Applicative (Rep p), Representable p) => Applicative (Prep p)
Instance details Defined in Data.Profunctor.Rep Methods pure :: a -> Prep p a # (<>) :: Prep p (a -> b) -> Prep p a -> Prep p b # liftA2 :: (a -> b -> c) -> Prep p a -> Prep p b -> Prep p c # (>) :: Prep p a -> Prep p b -> Prep p b # (<*) :: Prep p a -> Prep p b -> Prep p a #
Applicative f => Applicative (Rec1 f)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods pure :: a -> Rec1 f a # (<>) :: Rec1 f (a -> b) -> Rec1 f a -> Rec1 f b # liftA2 :: (a -> b -> c) -> Rec1 f a -> Rec1 f b -> Rec1 f c # (>) :: Rec1 f a -> Rec1 f b -> Rec1 f b # (<*) :: Rec1 f a -> Rec1 f b -> Rec1 f a #
Monad m => Applicative (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods pure :: a -> RandT g m a # (<>) :: RandT g m (a -> b) -> RandT g m a -> RandT g m b # liftA2 :: (a -> b -> c) -> RandT g m a -> RandT g m b -> RandT g m c # (>) :: RandT g m a -> RandT g m b -> RandT g m b # (<*) :: RandT g m a -> RandT g m b -> RandT g m a #
Arrow a => Applicative (WrappedArrow a b)	Since: base-2.1
Instance details Defined in Control.Applicative Methods pure :: a0 -> WrappedArrow a b a0 # (<>) :: WrappedArrow a b (a0 -> b0) -> WrappedArrow a b a0 -> WrappedArrow a b b0 # liftA2 :: (a0 -> b0 -> c) -> WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b c # (>) :: WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b b0 # (<*) :: WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b a0 #
Monoid m => Applicative (Const m :: Type -> Type)	Since: base-2.0.1
Instance details Defined in Data.Functor.Const Methods pure :: a -> Const m a # (<>) :: Const m (a -> b) -> Const m a -> Const m b # liftA2 :: (a -> b -> c) -> Const m a -> Const m b -> Const m c # (>) :: Const m a -> Const m b -> Const m b # (<*) :: Const m a -> Const m b -> Const m a #
Applicative f => Applicative (Ap f)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid Methods pure :: a -> Ap f a # (<>) :: Ap f (a -> b) -> Ap f a -> Ap f b # liftA2 :: (a -> b -> c) -> Ap f a -> Ap f b -> Ap f c # (>) :: Ap f a -> Ap f b -> Ap f b # (<*) :: Ap f a -> Ap f b -> Ap f a #
Applicative f => Applicative (Alt f)	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods pure :: a -> Alt f a # (<>) :: Alt f (a -> b) -> Alt f a -> Alt f b # liftA2 :: (a -> b -> c) -> Alt f a -> Alt f b -> Alt f c # (>) :: Alt f a -> Alt f b -> Alt f b # (<*) :: Alt f a -> Alt f b -> Alt f a #
Biapplicative p => Applicative (Join p)
Instance details Defined in Data.Bifunctor.Join Methods pure :: a -> Join p a # (<>) :: Join p (a -> b) -> Join p a -> Join p b # liftA2 :: (a -> b -> c) -> Join p a -> Join p b -> Join p c # (>) :: Join p a -> Join p b -> Join p b # (<*) :: Join p a -> Join p b -> Join p a #
Biapplicative p => Applicative (Fix p)
Instance details Defined in Data.Bifunctor.Fix Methods pure :: a -> Fix p a # (<>) :: Fix p (a -> b) -> Fix p a -> Fix p b # liftA2 :: (a -> b -> c) -> Fix p a -> Fix p b -> Fix p c # (>) :: Fix p a -> Fix p b -> Fix p b # (<*) :: Fix p a -> Fix p b -> Fix p a #
(Applicative f, Monad f) => Applicative (WhenMissing f x)	Equivalent to `ReaderT k (ReaderT x (MaybeT f))`. Since: containers-0.5.9
Instance details Defined in Data.IntMap.Internal Methods pure :: a -> WhenMissing f x a # (<>) :: WhenMissing f x (a -> b) -> WhenMissing f x a -> WhenMissing f x b # liftA2 :: (a -> b -> c) -> WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x c # (>) :: WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x b # (<*) :: WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x a #
(Functor m, Monad m) => Applicative (ExceptT e m)
Instance details Defined in Control.Monad.Trans.Except Methods pure :: a -> ExceptT e m a # (<>) :: ExceptT e m (a -> b) -> ExceptT e m a -> ExceptT e m b # liftA2 :: (a -> b -> c) -> ExceptT e m a -> ExceptT e m b -> ExceptT e m c # (>) :: ExceptT e m a -> ExceptT e m b -> ExceptT e m b # (<*) :: ExceptT e m a -> ExceptT e m b -> ExceptT e m a #
(Functor f, Monad m) => Applicative (FreeT f m)
Instance details Defined in Control.Monad.Trans.Free Methods pure :: a -> FreeT f m a # (<>) :: FreeT f m (a -> b) -> FreeT f m a -> FreeT f m b # liftA2 :: (a -> b -> c) -> FreeT f m a -> FreeT f m b -> FreeT f m c # (>) :: FreeT f m a -> FreeT f m b -> FreeT f m b # (<*) :: FreeT f m a -> FreeT f m b -> FreeT f m a #
(Alternative f, Applicative w) => Applicative (CofreeT f w)
Instance details Defined in Control.Comonad.Trans.Cofree Methods pure :: a -> CofreeT f w a # (<>) :: CofreeT f w (a -> b) -> CofreeT f w a -> CofreeT f w b # liftA2 :: (a -> b -> c) -> CofreeT f w a -> CofreeT f w b -> CofreeT f w c # (>) :: CofreeT f w a -> CofreeT f w b -> CofreeT f w b # (<*) :: CofreeT f w a -> CofreeT f w b -> CofreeT f w a #
(Applicative f, Applicative g) => Applicative (Day f g)
Instance details Defined in Data.Functor.Day Methods pure :: a -> Day f g a # (<>) :: Day f g (a -> b) -> Day f g a -> Day f g b # liftA2 :: (a -> b -> c) -> Day f g a -> Day f g b -> Day f g c # (>) :: Day f g a -> Day f g b -> Day f g b # (<*) :: Day f g a -> Day f g b -> Day f g a #
(Functor m, Monad m) => Applicative (ErrorT e m)
Instance details Defined in Control.Monad.Trans.Error Methods pure :: a -> ErrorT e m a # (<>) :: ErrorT e m (a -> b) -> ErrorT e m a -> ErrorT e m b # liftA2 :: (a -> b -> c) -> ErrorT e m a -> ErrorT e m b -> ErrorT e m c # (>) :: ErrorT e m a -> ErrorT e m b -> ErrorT e m b # (<*) :: ErrorT e m a -> ErrorT e m b -> ErrorT e m a #
(Functor m, Monad m) => Applicative (StateT s m)
Instance details Defined in Control.Monad.Trans.State.Strict Methods pure :: a -> StateT s m a # (<>) :: StateT s m (a -> b) -> StateT s m a -> StateT s m b # liftA2 :: (a -> b -> c) -> StateT s m a -> StateT s m b -> StateT s m c # (>) :: StateT s m a -> StateT s m b -> StateT s m b # (<*) :: StateT s m a -> StateT s m b -> StateT s m a #
Applicative (Indexed i a)
Instance details Defined in Control.Lens.Internal.Indexed Methods pure :: a0 -> Indexed i a a0 # (<>) :: Indexed i a (a0 -> b) -> Indexed i a a0 -> Indexed i a b # liftA2 :: (a0 -> b -> c) -> Indexed i a a0 -> Indexed i a b -> Indexed i a c # (>) :: Indexed i a a0 -> Indexed i a b -> Indexed i a b # (<*) :: Indexed i a a0 -> Indexed i a b -> Indexed i a a0 #
(Functor m, Monad m) => Applicative (StateT s m)
Instance details Defined in Control.Monad.Trans.State.Lazy Methods pure :: a -> StateT s m a # (<>) :: StateT s m (a -> b) -> StateT s m a -> StateT s m b # liftA2 :: (a -> b -> c) -> StateT s m a -> StateT s m b -> StateT s m c # (>) :: StateT s m a -> StateT s m b -> StateT s m b # (<*) :: StateT s m a -> StateT s m b -> StateT s m a #
(Profunctor p, Arrow p) => Applicative (Tambara p a)
Instance details Defined in Data.Profunctor.Strong Methods pure :: a0 -> Tambara p a a0 # (<>) :: Tambara p a (a0 -> b) -> Tambara p a a0 -> Tambara p a b # liftA2 :: (a0 -> b -> c) -> Tambara p a a0 -> Tambara p a b -> Tambara p a c # (>) :: Tambara p a a0 -> Tambara p a b -> Tambara p a b # (<*) :: Tambara p a a0 -> Tambara p a b -> Tambara p a a0 #
Applicative (Tagged s)
Instance details Defined in Data.Tagged Methods pure :: a -> Tagged s a # (<>) :: Tagged s (a -> b) -> Tagged s a -> Tagged s b # liftA2 :: (a -> b -> c) -> Tagged s a -> Tagged s b -> Tagged s c # (>) :: Tagged s a -> Tagged s b -> Tagged s b # (<*) :: Tagged s a -> Tagged s b -> Tagged s a #
Applicative (Peat a b)
Instance details Defined in Data.Witherable Methods pure :: a0 -> Peat a b a0 # (<>) :: Peat a b (a0 -> b0) -> Peat a b a0 -> Peat a b b0 # liftA2 :: (a0 -> b0 -> c) -> Peat a b a0 -> Peat a b b0 -> Peat a b c # (>) :: Peat a b a0 -> Peat a b b0 -> Peat a b b0 # (<*) :: Peat a b a0 -> Peat a b b0 -> Peat a b a0 #
Applicative ((->) a :: Type -> Type)	Since: base-2.1
Instance details Defined in GHC.Base Methods pure :: a0 -> a -> a0 # (<>) :: (a -> (a0 -> b)) -> (a -> a0) -> a -> b # liftA2 :: (a0 -> b -> c) -> (a -> a0) -> (a -> b) -> a -> c # (>) :: (a -> a0) -> (a -> b) -> a -> b # (<*) :: (a -> a0) -> (a -> b) -> a -> a0 #
Monoid c => Applicative (K1 i c :: Type -> Type)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods pure :: a -> K1 i c a # (<>) :: K1 i c (a -> b) -> K1 i c a -> K1 i c b # liftA2 :: (a -> b -> c0) -> K1 i c a -> K1 i c b -> K1 i c c0 # (>) :: K1 i c a -> K1 i c b -> K1 i c b # (<*) :: K1 i c a -> K1 i c b -> K1 i c a #
(Applicative f, Applicative g) => Applicative (f :*: g)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods pure :: a -> (f :: g) a # (<>) :: (f :: g) (a -> b) -> (f :: g) a -> (f :: g) b # liftA2 :: (a -> b -> c) -> (f :: g) a -> (f :: g) b -> (f :: g) c # (>) :: (f :: g) a -> (f :: g) b -> (f :: g) b # (<) :: (f :: g) a -> (f :: g) b -> (f :: g) a #
(Monad f, Applicative f) => Applicative (WhenMatched f x y)	Equivalent to `ReaderT Key (ReaderT x (ReaderT y (MaybeT f)))` Since: containers-0.5.9
Instance details Defined in Data.IntMap.Internal Methods pure :: a -> WhenMatched f x y a # (<>) :: WhenMatched f x y (a -> b) -> WhenMatched f x y a -> WhenMatched f x y b # liftA2 :: (a -> b -> c) -> WhenMatched f x y a -> WhenMatched f x y b -> WhenMatched f x y c # (>) :: WhenMatched f x y a -> WhenMatched f x y b -> WhenMatched f x y b # (<*) :: WhenMatched f x y a -> WhenMatched f x y b -> WhenMatched f x y a #
(Applicative f, Monad f) => Applicative (WhenMissing f k x)	Equivalent to `ReaderT k (ReaderT x (MaybeT f))` . Since: containers-0.5.9
Instance details Defined in Data.Map.Internal Methods pure :: a -> WhenMissing f k x a # (<>) :: WhenMissing f k x (a -> b) -> WhenMissing f k x a -> WhenMissing f k x b # liftA2 :: (a -> b -> c) -> WhenMissing f k x a -> WhenMissing f k x b -> WhenMissing f k x c # (>) :: WhenMissing f k x a -> WhenMissing f k x b -> WhenMissing f k x b # (<*) :: WhenMissing f k x a -> WhenMissing f k x b -> WhenMissing f k x a #
Applicative m => Applicative (ReaderT r m)
Instance details Defined in Control.Monad.Trans.Reader Methods pure :: a -> ReaderT r m a # (<>) :: ReaderT r m (a -> b) -> ReaderT r m a -> ReaderT r m b # liftA2 :: (a -> b -> c) -> ReaderT r m a -> ReaderT r m b -> ReaderT r m c # (>) :: ReaderT r m a -> ReaderT r m b -> ReaderT r m b # (<*) :: ReaderT r m a -> ReaderT r m b -> ReaderT r m a #
Applicative f => Applicative (M1 i c f)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods pure :: a -> M1 i c f a # (<>) :: M1 i c f (a -> b) -> M1 i c f a -> M1 i c f b # liftA2 :: (a -> b -> c0) -> M1 i c f a -> M1 i c f b -> M1 i c f c0 # (>) :: M1 i c f a -> M1 i c f b -> M1 i c f b # (<*) :: M1 i c f a -> M1 i c f b -> M1 i c f a #
(Applicative f, Applicative g) => Applicative (f :.: g)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods pure :: a -> (f :.: g) a # (<>) :: (f :.: g) (a -> b) -> (f :.: g) a -> (f :.: g) b # liftA2 :: (a -> b -> c) -> (f :.: g) a -> (f :.: g) b -> (f :.: g) c # (>) :: (f :.: g) a -> (f :.: g) b -> (f :.: g) b # (<*) :: (f :.: g) a -> (f :.: g) b -> (f :.: g) a #
(Monad f, Applicative f) => Applicative (WhenMatched f k x y)	Equivalent to `ReaderT k (ReaderT x (ReaderT y (MaybeT f)))` Since: containers-0.5.9
Instance details Defined in Data.Map.Internal Methods pure :: a -> WhenMatched f k x y a # (<>) :: WhenMatched f k x y (a -> b) -> WhenMatched f k x y a -> WhenMatched f k x y b # liftA2 :: (a -> b -> c) -> WhenMatched f k x y a -> WhenMatched f k x y b -> WhenMatched f k x y c # (>) :: WhenMatched f k x y a -> WhenMatched f k x y b -> WhenMatched f k x y b # (<*) :: WhenMatched f k x y a -> WhenMatched f k x y b -> WhenMatched f k x y a #
Reifies s (ReifiedApplicative f) => Applicative (ReflectedApplicative f s)
Instance details Defined in Data.Reflection Methods pure :: a -> ReflectedApplicative f s a # (<>) :: ReflectedApplicative f s (a -> b) -> ReflectedApplicative f s a -> ReflectedApplicative f s b # liftA2 :: (a -> b -> c) -> ReflectedApplicative f s a -> ReflectedApplicative f s b -> ReflectedApplicative f s c # (>) :: ReflectedApplicative f s a -> ReflectedApplicative f s b -> ReflectedApplicative f s b # (<*) :: ReflectedApplicative f s a -> ReflectedApplicative f s b -> ReflectedApplicative f s a #

class Foldable (t :: Type -> Type) where #

Data structures that can be folded.

For example, given a data type

data Tree a = Empty | Leaf a | Node (Tree a) a (Tree a)

a suitable instance would be

instance Foldable Tree where
   foldMap f Empty = mempty
   foldMap f (Leaf x) = f x
   foldMap f (Node l k r) = foldMap f l `mappend` f k `mappend` foldMap f r

This is suitable even for abstract types, as the monoid is assumed to satisfy the monoid laws. Alternatively, one could define foldr:

instance Foldable Tree where
   foldr f z Empty = z
   foldr f z (Leaf x) = f x z
   foldr f z (Node l k r) = foldr f (f k (foldr f z r)) l

Foldable instances are expected to satisfy the following laws:

foldr f z t = appEndo (foldMap (Endo . f) t ) z

foldl f z t = appEndo (getDual (foldMap (Dual . Endo . flip f) t)) z

fold = foldMap id

length = getSum . foldMap (Sum . const  1)

sum, product, maximum, and minimum should all be essentially equivalent to foldMap forms, such as

sum = getSum . foldMap Sum

but may be less defined.

If the type is also a Functor instance, it should satisfy

foldMap f = fold . fmap f

which implies that

foldMap f . fmap g = foldMap (f . g)

Minimal complete definition

foldMap | foldr

Methods

fold :: Monoid m => t m -> m #

Combine the elements of a structure using a monoid.

foldMap :: Monoid m => (a -> m) -> t a -> m #

Map each element of the structure to a monoid, and combine the results.

foldr :: (a -> b -> b) -> b -> t a -> b #

Right-associative fold of a structure.

In the case of lists, foldr, when applied to a binary operator, a starting value (typically the right-identity of the operator), and a list, reduces the list using the binary operator, from right to left:

foldr f z [x1, x2, ..., xn] == x1 `f` (x2 `f` ... (xn `f` z)...)

Note that, since the head of the resulting expression is produced by an application of the operator to the first element of the list, foldr can produce a terminating expression from an infinite list.

For a general Foldable structure this should be semantically identical to,

foldr f z = foldr f z . toList

foldr' :: (a -> b -> b) -> b -> t a -> b #

Right-associative fold of a structure, but with strict application of the operator.

foldl :: (b -> a -> b) -> b -> t a -> b #

Left-associative fold of a structure.

In the case of lists, foldl, when applied to a binary operator, a starting value (typically the left-identity of the operator), and a list, reduces the list using the binary operator, from left to right:

foldl f z [x1, x2, ..., xn] == (...((z `f` x1) `f` x2) `f`...) `f` xn

Note that to produce the outermost application of the operator the entire input list must be traversed. This means that foldl' will diverge if given an infinite list.

Also note that if you want an efficient left-fold, you probably want to use foldl' instead of foldl. The reason for this is that latter does not force the "inner" results (e.g. z f x1 in the above example) before applying them to the operator (e.g. to (f x2)). This results in a thunk chain O(n) elements long, which then must be evaluated from the outside-in.

For a general Foldable structure this should be semantically identical to,

foldl f z = foldl f z . toList

foldl' :: (b -> a -> b) -> b -> t a -> b #

Left-associative fold of a structure but with strict application of the operator.

This ensures that each step of the fold is forced to weak head normal form before being applied, avoiding the collection of thunks that would otherwise occur. This is often what you want to strictly reduce a finite list to a single, monolithic result (e.g. length).

For a general Foldable structure this should be semantically identical to,

foldl f z = foldl' f z . toList

toList :: t a -> [a] #

List of elements of a structure, from left to right.

null :: t a -> Bool #

Test whether the structure is empty. The default implementation is optimized for structures that are similar to cons-lists, because there is no general way to do better.

length :: t a -> Int #

Returns the size/length of a finite structure as an Int. The default implementation is optimized for structures that are similar to cons-lists, because there is no general way to do better.

elem :: Eq a => a -> t a -> Bool infix 4 #

Does the element occur in the structure?

maximum :: Ord a => t a -> a #

The largest element of a non-empty structure.

minimum :: Ord a => t a -> a #

The least element of a non-empty structure.

Instances

Foldable []	Since: base-2.1
Instance details Defined in Data.Foldable Methods fold :: Monoid m => [m] -> m # foldMap :: Monoid m => (a -> m) -> [a] -> m # foldr :: (a -> b -> b) -> b -> [a] -> b # foldr' :: (a -> b -> b) -> b -> [a] -> b # foldl :: (b -> a -> b) -> b -> [a] -> b # foldl' :: (b -> a -> b) -> b -> [a] -> b # foldr1 :: (a -> a -> a) -> [a] -> a # foldl1 :: (a -> a -> a) -> [a] -> a # toList :: [a] -> [a] # null :: [a] -> Bool # length :: [a] -> Int # elem :: Eq a => a -> [a] -> Bool # maximum :: Ord a => [a] -> a # minimum :: Ord a => [a] -> a # sum :: Num a => [a] -> a # product :: Num a => [a] -> a #
Foldable Maybe	Since: base-2.1
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Maybe m -> m # foldMap :: Monoid m => (a -> m) -> Maybe a -> m # foldr :: (a -> b -> b) -> b -> Maybe a -> b # foldr' :: (a -> b -> b) -> b -> Maybe a -> b # foldl :: (b -> a -> b) -> b -> Maybe a -> b # foldl' :: (b -> a -> b) -> b -> Maybe a -> b # foldr1 :: (a -> a -> a) -> Maybe a -> a # foldl1 :: (a -> a -> a) -> Maybe a -> a # toList :: Maybe a -> [a] # null :: Maybe a -> Bool # length :: Maybe a -> Int # elem :: Eq a => a -> Maybe a -> Bool # maximum :: Ord a => Maybe a -> a # minimum :: Ord a => Maybe a -> a # sum :: Num a => Maybe a -> a # product :: Num a => Maybe a -> a #
Foldable Par1	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Par1 m -> m # foldMap :: Monoid m => (a -> m) -> Par1 a -> m # foldr :: (a -> b -> b) -> b -> Par1 a -> b # foldr' :: (a -> b -> b) -> b -> Par1 a -> b # foldl :: (b -> a -> b) -> b -> Par1 a -> b # foldl' :: (b -> a -> b) -> b -> Par1 a -> b # foldr1 :: (a -> a -> a) -> Par1 a -> a # foldl1 :: (a -> a -> a) -> Par1 a -> a # toList :: Par1 a -> [a] # null :: Par1 a -> Bool # length :: Par1 a -> Int # elem :: Eq a => a -> Par1 a -> Bool # maximum :: Ord a => Par1 a -> a # minimum :: Ord a => Par1 a -> a # sum :: Num a => Par1 a -> a # product :: Num a => Par1 a -> a #
Foldable IResult
Instance details Defined in Data.Aeson.Types.Internal Methods fold :: Monoid m => IResult m -> m # foldMap :: Monoid m => (a -> m) -> IResult a -> m # foldr :: (a -> b -> b) -> b -> IResult a -> b # foldr' :: (a -> b -> b) -> b -> IResult a -> b # foldl :: (b -> a -> b) -> b -> IResult a -> b # foldl' :: (b -> a -> b) -> b -> IResult a -> b # foldr1 :: (a -> a -> a) -> IResult a -> a # foldl1 :: (a -> a -> a) -> IResult a -> a # toList :: IResult a -> [a] # null :: IResult a -> Bool # length :: IResult a -> Int # elem :: Eq a => a -> IResult a -> Bool # maximum :: Ord a => IResult a -> a # minimum :: Ord a => IResult a -> a # sum :: Num a => IResult a -> a # product :: Num a => IResult a -> a #
Foldable Result
Instance details Defined in Data.Aeson.Types.Internal Methods fold :: Monoid m => Result m -> m # foldMap :: Monoid m => (a -> m) -> Result a -> m # foldr :: (a -> b -> b) -> b -> Result a -> b # foldr' :: (a -> b -> b) -> b -> Result a -> b # foldl :: (b -> a -> b) -> b -> Result a -> b # foldl' :: (b -> a -> b) -> b -> Result a -> b # foldr1 :: (a -> a -> a) -> Result a -> a # foldl1 :: (a -> a -> a) -> Result a -> a # toList :: Result a -> [a] # null :: Result a -> Bool # length :: Result a -> Int # elem :: Eq a => a -> Result a -> Bool # maximum :: Ord a => Result a -> a # minimum :: Ord a => Result a -> a # sum :: Num a => Result a -> a # product :: Num a => Result a -> a #
Foldable Complex	Since: base-4.9.0.0
Instance details Defined in Data.Complex Methods fold :: Monoid m => Complex m -> m # foldMap :: Monoid m => (a -> m) -> Complex a -> m # foldr :: (a -> b -> b) -> b -> Complex a -> b # foldr' :: (a -> b -> b) -> b -> Complex a -> b # foldl :: (b -> a -> b) -> b -> Complex a -> b # foldl' :: (b -> a -> b) -> b -> Complex a -> b # foldr1 :: (a -> a -> a) -> Complex a -> a # foldl1 :: (a -> a -> a) -> Complex a -> a # toList :: Complex a -> [a] # null :: Complex a -> Bool # length :: Complex a -> Int # elem :: Eq a => a -> Complex a -> Bool # maximum :: Ord a => Complex a -> a # minimum :: Ord a => Complex a -> a # sum :: Num a => Complex a -> a # product :: Num a => Complex a -> a #
Foldable Min	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fold :: Monoid m => Min m -> m # foldMap :: Monoid m => (a -> m) -> Min a -> m # foldr :: (a -> b -> b) -> b -> Min a -> b # foldr' :: (a -> b -> b) -> b -> Min a -> b # foldl :: (b -> a -> b) -> b -> Min a -> b # foldl' :: (b -> a -> b) -> b -> Min a -> b # foldr1 :: (a -> a -> a) -> Min a -> a # foldl1 :: (a -> a -> a) -> Min a -> a # toList :: Min a -> [a] # null :: Min a -> Bool # length :: Min a -> Int # elem :: Eq a => a -> Min a -> Bool # maximum :: Ord a => Min a -> a # minimum :: Ord a => Min a -> a # sum :: Num a => Min a -> a # product :: Num a => Min a -> a #
Foldable Max	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fold :: Monoid m => Max m -> m # foldMap :: Monoid m => (a -> m) -> Max a -> m # foldr :: (a -> b -> b) -> b -> Max a -> b # foldr' :: (a -> b -> b) -> b -> Max a -> b # foldl :: (b -> a -> b) -> b -> Max a -> b # foldl' :: (b -> a -> b) -> b -> Max a -> b # foldr1 :: (a -> a -> a) -> Max a -> a # foldl1 :: (a -> a -> a) -> Max a -> a # toList :: Max a -> [a] # null :: Max a -> Bool # length :: Max a -> Int # elem :: Eq a => a -> Max a -> Bool # maximum :: Ord a => Max a -> a # minimum :: Ord a => Max a -> a # sum :: Num a => Max a -> a # product :: Num a => Max a -> a #
Foldable First	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fold :: Monoid m => First m -> m # foldMap :: Monoid m => (a -> m) -> First a -> m # foldr :: (a -> b -> b) -> b -> First a -> b # foldr' :: (a -> b -> b) -> b -> First a -> b # foldl :: (b -> a -> b) -> b -> First a -> b # foldl' :: (b -> a -> b) -> b -> First a -> b # foldr1 :: (a -> a -> a) -> First a -> a # foldl1 :: (a -> a -> a) -> First a -> a # toList :: First a -> [a] # null :: First a -> Bool # length :: First a -> Int # elem :: Eq a => a -> First a -> Bool # maximum :: Ord a => First a -> a # minimum :: Ord a => First a -> a # sum :: Num a => First a -> a # product :: Num a => First a -> a #
Foldable Last	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fold :: Monoid m => Last m -> m # foldMap :: Monoid m => (a -> m) -> Last a -> m # foldr :: (a -> b -> b) -> b -> Last a -> b # foldr' :: (a -> b -> b) -> b -> Last a -> b # foldl :: (b -> a -> b) -> b -> Last a -> b # foldl' :: (b -> a -> b) -> b -> Last a -> b # foldr1 :: (a -> a -> a) -> Last a -> a # foldl1 :: (a -> a -> a) -> Last a -> a # toList :: Last a -> [a] # null :: Last a -> Bool # length :: Last a -> Int # elem :: Eq a => a -> Last a -> Bool # maximum :: Ord a => Last a -> a # minimum :: Ord a => Last a -> a # sum :: Num a => Last a -> a # product :: Num a => Last a -> a #
Foldable Option	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fold :: Monoid m => Option m -> m # foldMap :: Monoid m => (a -> m) -> Option a -> m # foldr :: (a -> b -> b) -> b -> Option a -> b # foldr' :: (a -> b -> b) -> b -> Option a -> b # foldl :: (b -> a -> b) -> b -> Option a -> b # foldl' :: (b -> a -> b) -> b -> Option a -> b # foldr1 :: (a -> a -> a) -> Option a -> a # foldl1 :: (a -> a -> a) -> Option a -> a # toList :: Option a -> [a] # null :: Option a -> Bool # length :: Option a -> Int # elem :: Eq a => a -> Option a -> Bool # maximum :: Ord a => Option a -> a # minimum :: Ord a => Option a -> a # sum :: Num a => Option a -> a # product :: Num a => Option a -> a #
Foldable ZipList	Since: base-4.9.0.0
Instance details Defined in Control.Applicative Methods fold :: Monoid m => ZipList m -> m # foldMap :: Monoid m => (a -> m) -> ZipList a -> m # foldr :: (a -> b -> b) -> b -> ZipList a -> b # foldr' :: (a -> b -> b) -> b -> ZipList a -> b # foldl :: (b -> a -> b) -> b -> ZipList a -> b # foldl' :: (b -> a -> b) -> b -> ZipList a -> b # foldr1 :: (a -> a -> a) -> ZipList a -> a # foldl1 :: (a -> a -> a) -> ZipList a -> a # toList :: ZipList a -> [a] # null :: ZipList a -> Bool # length :: ZipList a -> Int # elem :: Eq a => a -> ZipList a -> Bool # maximum :: Ord a => ZipList a -> a # minimum :: Ord a => ZipList a -> a # sum :: Num a => ZipList a -> a # product :: Num a => ZipList a -> a #
Foldable Identity	Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity Methods fold :: Monoid m => Identity m -> m # foldMap :: Monoid m => (a -> m) -> Identity a -> m # foldr :: (a -> b -> b) -> b -> Identity a -> b # foldr' :: (a -> b -> b) -> b -> Identity a -> b # foldl :: (b -> a -> b) -> b -> Identity a -> b # foldl' :: (b -> a -> b) -> b -> Identity a -> b # foldr1 :: (a -> a -> a) -> Identity a -> a # foldl1 :: (a -> a -> a) -> Identity a -> a # toList :: Identity a -> [a] # null :: Identity a -> Bool # length :: Identity a -> Int # elem :: Eq a => a -> Identity a -> Bool # maximum :: Ord a => Identity a -> a # minimum :: Ord a => Identity a -> a # sum :: Num a => Identity a -> a # product :: Num a => Identity a -> a #
Foldable First	Since: base-4.8.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => First m -> m # foldMap :: Monoid m => (a -> m) -> First a -> m # foldr :: (a -> b -> b) -> b -> First a -> b # foldr' :: (a -> b -> b) -> b -> First a -> b # foldl :: (b -> a -> b) -> b -> First a -> b # foldl' :: (b -> a -> b) -> b -> First a -> b # foldr1 :: (a -> a -> a) -> First a -> a # foldl1 :: (a -> a -> a) -> First a -> a # toList :: First a -> [a] # null :: First a -> Bool # length :: First a -> Int # elem :: Eq a => a -> First a -> Bool # maximum :: Ord a => First a -> a # minimum :: Ord a => First a -> a # sum :: Num a => First a -> a # product :: Num a => First a -> a #
Foldable Last	Since: base-4.8.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Last m -> m # foldMap :: Monoid m => (a -> m) -> Last a -> m # foldr :: (a -> b -> b) -> b -> Last a -> b # foldr' :: (a -> b -> b) -> b -> Last a -> b # foldl :: (b -> a -> b) -> b -> Last a -> b # foldl' :: (b -> a -> b) -> b -> Last a -> b # foldr1 :: (a -> a -> a) -> Last a -> a # foldl1 :: (a -> a -> a) -> Last a -> a # toList :: Last a -> [a] # null :: Last a -> Bool # length :: Last a -> Int # elem :: Eq a => a -> Last a -> Bool # maximum :: Ord a => Last a -> a # minimum :: Ord a => Last a -> a # sum :: Num a => Last a -> a # product :: Num a => Last a -> a #
Foldable Dual	Since: base-4.8.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Dual m -> m # foldMap :: Monoid m => (a -> m) -> Dual a -> m # foldr :: (a -> b -> b) -> b -> Dual a -> b # foldr' :: (a -> b -> b) -> b -> Dual a -> b # foldl :: (b -> a -> b) -> b -> Dual a -> b # foldl' :: (b -> a -> b) -> b -> Dual a -> b # foldr1 :: (a -> a -> a) -> Dual a -> a # foldl1 :: (a -> a -> a) -> Dual a -> a # toList :: Dual a -> [a] # null :: Dual a -> Bool # length :: Dual a -> Int # elem :: Eq a => a -> Dual a -> Bool # maximum :: Ord a => Dual a -> a # minimum :: Ord a => Dual a -> a # sum :: Num a => Dual a -> a # product :: Num a => Dual a -> a #
Foldable Sum	Since: base-4.8.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Sum m -> m # foldMap :: Monoid m => (a -> m) -> Sum a -> m # foldr :: (a -> b -> b) -> b -> Sum a -> b # foldr' :: (a -> b -> b) -> b -> Sum a -> b # foldl :: (b -> a -> b) -> b -> Sum a -> b # foldl' :: (b -> a -> b) -> b -> Sum a -> b # foldr1 :: (a -> a -> a) -> Sum a -> a # foldl1 :: (a -> a -> a) -> Sum a -> a # toList :: Sum a -> [a] # null :: Sum a -> Bool # length :: Sum a -> Int # elem :: Eq a => a -> Sum a -> Bool # maximum :: Ord a => Sum a -> a # minimum :: Ord a => Sum a -> a # sum :: Num a => Sum a -> a # product :: Num a => Sum a -> a #
Foldable Product	Since: base-4.8.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Product m -> m # foldMap :: Monoid m => (a -> m) -> Product a -> m # foldr :: (a -> b -> b) -> b -> Product a -> b # foldr' :: (a -> b -> b) -> b -> Product a -> b # foldl :: (b -> a -> b) -> b -> Product a -> b # foldl' :: (b -> a -> b) -> b -> Product a -> b # foldr1 :: (a -> a -> a) -> Product a -> a # foldl1 :: (a -> a -> a) -> Product a -> a # toList :: Product a -> [a] # null :: Product a -> Bool # length :: Product a -> Int # elem :: Eq a => a -> Product a -> Bool # maximum :: Ord a => Product a -> a # minimum :: Ord a => Product a -> a # sum :: Num a => Product a -> a # product :: Num a => Product a -> a #
Foldable Down	Since: base-4.12.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Down m -> m # foldMap :: Monoid m => (a -> m) -> Down a -> m # foldr :: (a -> b -> b) -> b -> Down a -> b # foldr' :: (a -> b -> b) -> b -> Down a -> b # foldl :: (b -> a -> b) -> b -> Down a -> b # foldl' :: (b -> a -> b) -> b -> Down a -> b # foldr1 :: (a -> a -> a) -> Down a -> a # foldl1 :: (a -> a -> a) -> Down a -> a # toList :: Down a -> [a] # null :: Down a -> Bool # length :: Down a -> Int # elem :: Eq a => a -> Down a -> Bool # maximum :: Ord a => Down a -> a # minimum :: Ord a => Down a -> a # sum :: Num a => Down a -> a # product :: Num a => Down a -> a #
Foldable NonEmpty	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => NonEmpty m -> m # foldMap :: Monoid m => (a -> m) -> NonEmpty a -> m # foldr :: (a -> b -> b) -> b -> NonEmpty a -> b # foldr' :: (a -> b -> b) -> b -> NonEmpty a -> b # foldl :: (b -> a -> b) -> b -> NonEmpty a -> b # foldl' :: (b -> a -> b) -> b -> NonEmpty a -> b # foldr1 :: (a -> a -> a) -> NonEmpty a -> a # foldl1 :: (a -> a -> a) -> NonEmpty a -> a # toList :: NonEmpty a -> [a] # null :: NonEmpty a -> Bool # length :: NonEmpty a -> Int # elem :: Eq a => a -> NonEmpty a -> Bool # maximum :: Ord a => NonEmpty a -> a # minimum :: Ord a => NonEmpty a -> a # sum :: Num a => NonEmpty a -> a # product :: Num a => NonEmpty a -> a #
Foldable IntMap
Instance details Defined in Data.IntMap.Internal Methods fold :: Monoid m => IntMap m -> m # foldMap :: Monoid m => (a -> m) -> IntMap a -> m # foldr :: (a -> b -> b) -> b -> IntMap a -> b # foldr' :: (a -> b -> b) -> b -> IntMap a -> b # foldl :: (b -> a -> b) -> b -> IntMap a -> b # foldl' :: (b -> a -> b) -> b -> IntMap a -> b # foldr1 :: (a -> a -> a) -> IntMap a -> a # foldl1 :: (a -> a -> a) -> IntMap a -> a # toList :: IntMap a -> [a] # null :: IntMap a -> Bool # length :: IntMap a -> Int # elem :: Eq a => a -> IntMap a -> Bool # maximum :: Ord a => IntMap a -> a # minimum :: Ord a => IntMap a -> a # sum :: Num a => IntMap a -> a # product :: Num a => IntMap a -> a #
Foldable Tree
Instance details Defined in Data.Tree Methods fold :: Monoid m => Tree m -> m # foldMap :: Monoid m => (a -> m) -> Tree a -> m # foldr :: (a -> b -> b) -> b -> Tree a -> b # foldr' :: (a -> b -> b) -> b -> Tree a -> b # foldl :: (b -> a -> b) -> b -> Tree a -> b # foldl' :: (b -> a -> b) -> b -> Tree a -> b # foldr1 :: (a -> a -> a) -> Tree a -> a # foldl1 :: (a -> a -> a) -> Tree a -> a # toList :: Tree a -> [a] # null :: Tree a -> Bool # length :: Tree a -> Int # elem :: Eq a => a -> Tree a -> Bool # maximum :: Ord a => Tree a -> a # minimum :: Ord a => Tree a -> a # sum :: Num a => Tree a -> a # product :: Num a => Tree a -> a #
Foldable Seq
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => Seq m -> m # foldMap :: Monoid m => (a -> m) -> Seq a -> m # foldr :: (a -> b -> b) -> b -> Seq a -> b # foldr' :: (a -> b -> b) -> b -> Seq a -> b # foldl :: (b -> a -> b) -> b -> Seq a -> b # foldl' :: (b -> a -> b) -> b -> Seq a -> b # foldr1 :: (a -> a -> a) -> Seq a -> a # foldl1 :: (a -> a -> a) -> Seq a -> a # toList :: Seq a -> [a] # null :: Seq a -> Bool # length :: Seq a -> Int # elem :: Eq a => a -> Seq a -> Bool # maximum :: Ord a => Seq a -> a # minimum :: Ord a => Seq a -> a # sum :: Num a => Seq a -> a # product :: Num a => Seq a -> a #
Foldable FingerTree
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => FingerTree m -> m # foldMap :: Monoid m => (a -> m) -> FingerTree a -> m # foldr :: (a -> b -> b) -> b -> FingerTree a -> b # foldr' :: (a -> b -> b) -> b -> FingerTree a -> b # foldl :: (b -> a -> b) -> b -> FingerTree a -> b # foldl' :: (b -> a -> b) -> b -> FingerTree a -> b # foldr1 :: (a -> a -> a) -> FingerTree a -> a # foldl1 :: (a -> a -> a) -> FingerTree a -> a # toList :: FingerTree a -> [a] # null :: FingerTree a -> Bool # length :: FingerTree a -> Int # elem :: Eq a => a -> FingerTree a -> Bool # maximum :: Ord a => FingerTree a -> a # minimum :: Ord a => FingerTree a -> a # sum :: Num a => FingerTree a -> a # product :: Num a => FingerTree a -> a #
Foldable Digit
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => Digit m -> m # foldMap :: Monoid m => (a -> m) -> Digit a -> m # foldr :: (a -> b -> b) -> b -> Digit a -> b # foldr' :: (a -> b -> b) -> b -> Digit a -> b # foldl :: (b -> a -> b) -> b -> Digit a -> b # foldl' :: (b -> a -> b) -> b -> Digit a -> b # foldr1 :: (a -> a -> a) -> Digit a -> a # foldl1 :: (a -> a -> a) -> Digit a -> a # toList :: Digit a -> [a] # null :: Digit a -> Bool # length :: Digit a -> Int # elem :: Eq a => a -> Digit a -> Bool # maximum :: Ord a => Digit a -> a # minimum :: Ord a => Digit a -> a # sum :: Num a => Digit a -> a # product :: Num a => Digit a -> a #
Foldable Node
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => Node m -> m # foldMap :: Monoid m => (a -> m) -> Node a -> m # foldr :: (a -> b -> b) -> b -> Node a -> b # foldr' :: (a -> b -> b) -> b -> Node a -> b # foldl :: (b -> a -> b) -> b -> Node a -> b # foldl' :: (b -> a -> b) -> b -> Node a -> b # foldr1 :: (a -> a -> a) -> Node a -> a # foldl1 :: (a -> a -> a) -> Node a -> a # toList :: Node a -> [a] # null :: Node a -> Bool # length :: Node a -> Int # elem :: Eq a => a -> Node a -> Bool # maximum :: Ord a => Node a -> a # minimum :: Ord a => Node a -> a # sum :: Num a => Node a -> a # product :: Num a => Node a -> a #
Foldable Elem
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => Elem m -> m # foldMap :: Monoid m => (a -> m) -> Elem a -> m # foldr :: (a -> b -> b) -> b -> Elem a -> b # foldr' :: (a -> b -> b) -> b -> Elem a -> b # foldl :: (b -> a -> b) -> b -> Elem a -> b # foldl' :: (b -> a -> b) -> b -> Elem a -> b # foldr1 :: (a -> a -> a) -> Elem a -> a # foldl1 :: (a -> a -> a) -> Elem a -> a # toList :: Elem a -> [a] # null :: Elem a -> Bool # length :: Elem a -> Int # elem :: Eq a => a -> Elem a -> Bool # maximum :: Ord a => Elem a -> a # minimum :: Ord a => Elem a -> a # sum :: Num a => Elem a -> a # product :: Num a => Elem a -> a #
Foldable ViewL
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => ViewL m -> m # foldMap :: Monoid m => (a -> m) -> ViewL a -> m # foldr :: (a -> b -> b) -> b -> ViewL a -> b # foldr' :: (a -> b -> b) -> b -> ViewL a -> b # foldl :: (b -> a -> b) -> b -> ViewL a -> b # foldl' :: (b -> a -> b) -> b -> ViewL a -> b # foldr1 :: (a -> a -> a) -> ViewL a -> a # foldl1 :: (a -> a -> a) -> ViewL a -> a # toList :: ViewL a -> [a] # null :: ViewL a -> Bool # length :: ViewL a -> Int # elem :: Eq a => a -> ViewL a -> Bool # maximum :: Ord a => ViewL a -> a # minimum :: Ord a => ViewL a -> a # sum :: Num a => ViewL a -> a # product :: Num a => ViewL a -> a #
Foldable ViewR
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => ViewR m -> m # foldMap :: Monoid m => (a -> m) -> ViewR a -> m # foldr :: (a -> b -> b) -> b -> ViewR a -> b # foldr' :: (a -> b -> b) -> b -> ViewR a -> b # foldl :: (b -> a -> b) -> b -> ViewR a -> b # foldl' :: (b -> a -> b) -> b -> ViewR a -> b # foldr1 :: (a -> a -> a) -> ViewR a -> a # foldl1 :: (a -> a -> a) -> ViewR a -> a # toList :: ViewR a -> [a] # null :: ViewR a -> Bool # length :: ViewR a -> Int # elem :: Eq a => a -> ViewR a -> Bool # maximum :: Ord a => ViewR a -> a # minimum :: Ord a => ViewR a -> a # sum :: Num a => ViewR a -> a # product :: Num a => ViewR a -> a #
Foldable Set
Instance details Defined in Data.Set.Internal Methods fold :: Monoid m => Set m -> m # foldMap :: Monoid m => (a -> m) -> Set a -> m # foldr :: (a -> b -> b) -> b -> Set a -> b # foldr' :: (a -> b -> b) -> b -> Set a -> b # foldl :: (b -> a -> b) -> b -> Set a -> b # foldl' :: (b -> a -> b) -> b -> Set a -> b # foldr1 :: (a -> a -> a) -> Set a -> a # foldl1 :: (a -> a -> a) -> Set a -> a # toList :: Set a -> [a] # null :: Set a -> Bool # length :: Set a -> Int # elem :: Eq a => a -> Set a -> Bool # maximum :: Ord a => Set a -> a # minimum :: Ord a => Set a -> a # sum :: Num a => Set a -> a # product :: Num a => Set a -> a #
Foldable DList
Instance details Defined in Data.DList Methods fold :: Monoid m => DList m -> m # foldMap :: Monoid m => (a -> m) -> DList a -> m # foldr :: (a -> b -> b) -> b -> DList a -> b # foldr' :: (a -> b -> b) -> b -> DList a -> b # foldl :: (b -> a -> b) -> b -> DList a -> b # foldl' :: (b -> a -> b) -> b -> DList a -> b # foldr1 :: (a -> a -> a) -> DList a -> a # foldl1 :: (a -> a -> a) -> DList a -> a # toList :: DList a -> [a] # null :: DList a -> Bool # length :: DList a -> Int # elem :: Eq a => a -> DList a -> Bool # maximum :: Ord a => DList a -> a # minimum :: Ord a => DList a -> a # sum :: Num a => DList a -> a # product :: Num a => DList a -> a #
Foldable Hashed
Instance details Defined in Data.Hashable.Class Methods fold :: Monoid m => Hashed m -> m # foldMap :: Monoid m => (a -> m) -> Hashed a -> m # foldr :: (a -> b -> b) -> b -> Hashed a -> b # foldr' :: (a -> b -> b) -> b -> Hashed a -> b # foldl :: (b -> a -> b) -> b -> Hashed a -> b # foldl' :: (b -> a -> b) -> b -> Hashed a -> b # foldr1 :: (a -> a -> a) -> Hashed a -> a # foldl1 :: (a -> a -> a) -> Hashed a -> a # toList :: Hashed a -> [a] # null :: Hashed a -> Bool # length :: Hashed a -> Int # elem :: Eq a => a -> Hashed a -> Bool # maximum :: Ord a => Hashed a -> a # minimum :: Ord a => Hashed a -> a # sum :: Num a => Hashed a -> a # product :: Num a => Hashed a -> a #
Foldable HashSet
Instance details Defined in Data.HashSet Methods fold :: Monoid m => HashSet m -> m # foldMap :: Monoid m => (a -> m) -> HashSet a -> m # foldr :: (a -> b -> b) -> b -> HashSet a -> b # foldr' :: (a -> b -> b) -> b -> HashSet a -> b # foldl :: (b -> a -> b) -> b -> HashSet a -> b # foldl' :: (b -> a -> b) -> b -> HashSet a -> b # foldr1 :: (a -> a -> a) -> HashSet a -> a # foldl1 :: (a -> a -> a) -> HashSet a -> a # toList :: HashSet a -> [a] # null :: HashSet a -> Bool # length :: HashSet a -> Int # elem :: Eq a => a -> HashSet a -> Bool # maximum :: Ord a => HashSet a -> a # minimum :: Ord a => HashSet a -> a # sum :: Num a => HashSet a -> a # product :: Num a => HashSet a -> a #
Foldable Vector
Instance details Defined in Data.Vector Methods fold :: Monoid m => Vector m -> m # foldMap :: Monoid m => (a -> m) -> Vector a -> m # foldr :: (a -> b -> b) -> b -> Vector a -> b # foldr' :: (a -> b -> b) -> b -> Vector a -> b # foldl :: (b -> a -> b) -> b -> Vector a -> b # foldl' :: (b -> a -> b) -> b -> Vector a -> b # foldr1 :: (a -> a -> a) -> Vector a -> a # foldl1 :: (a -> a -> a) -> Vector a -> a # toList :: Vector a -> [a] # null :: Vector a -> Bool # length :: Vector a -> Int # elem :: Eq a => a -> Vector a -> Bool # maximum :: Ord a => Vector a -> a # minimum :: Ord a => Vector a -> a # sum :: Num a => Vector a -> a # product :: Num a => Vector a -> a #
Foldable SmallArray
Instance details Defined in Data.Primitive.SmallArray Methods fold :: Monoid m => SmallArray m -> m # foldMap :: Monoid m => (a -> m) -> SmallArray a -> m # foldr :: (a -> b -> b) -> b -> SmallArray a -> b # foldr' :: (a -> b -> b) -> b -> SmallArray a -> b # foldl :: (b -> a -> b) -> b -> SmallArray a -> b # foldl' :: (b -> a -> b) -> b -> SmallArray a -> b # foldr1 :: (a -> a -> a) -> SmallArray a -> a # foldl1 :: (a -> a -> a) -> SmallArray a -> a # toList :: SmallArray a -> [a] # null :: SmallArray a -> Bool # length :: SmallArray a -> Int # elem :: Eq a => a -> SmallArray a -> Bool # maximum :: Ord a => SmallArray a -> a # minimum :: Ord a => SmallArray a -> a # sum :: Num a => SmallArray a -> a # product :: Num a => SmallArray a -> a #
Foldable Array
Instance details Defined in Data.Primitive.Array Methods fold :: Monoid m => Array m -> m # foldMap :: Monoid m => (a -> m) -> Array a -> m # foldr :: (a -> b -> b) -> b -> Array a -> b # foldr' :: (a -> b -> b) -> b -> Array a -> b # foldl :: (b -> a -> b) -> b -> Array a -> b # foldl' :: (b -> a -> b) -> b -> Array a -> b # foldr1 :: (a -> a -> a) -> Array a -> a # foldl1 :: (a -> a -> a) -> Array a -> a # toList :: Array a -> [a] # null :: Array a -> Bool # length :: Array a -> Int # elem :: Eq a => a -> Array a -> Bool # maximum :: Ord a => Array a -> a # minimum :: Ord a => Array a -> a # sum :: Num a => Array a -> a # product :: Num a => Array a -> a #
Foldable (Either a)	Since: base-4.7.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Either a m -> m # foldMap :: Monoid m => (a0 -> m) -> Either a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Either a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Either a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Either a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Either a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 # toList :: Either a a0 -> [a0] # null :: Either a a0 -> Bool # length :: Either a a0 -> Int # elem :: Eq a0 => a0 -> Either a a0 -> Bool # maximum :: Ord a0 => Either a a0 -> a0 # minimum :: Ord a0 => Either a a0 -> a0 # sum :: Num a0 => Either a a0 -> a0 # product :: Num a0 => Either a a0 -> a0 #
Foldable (V1 :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => V1 m -> m # foldMap :: Monoid m => (a -> m) -> V1 a -> m # foldr :: (a -> b -> b) -> b -> V1 a -> b # foldr' :: (a -> b -> b) -> b -> V1 a -> b # foldl :: (b -> a -> b) -> b -> V1 a -> b # foldl' :: (b -> a -> b) -> b -> V1 a -> b # foldr1 :: (a -> a -> a) -> V1 a -> a # foldl1 :: (a -> a -> a) -> V1 a -> a # toList :: V1 a -> [a] # null :: V1 a -> Bool # length :: V1 a -> Int # elem :: Eq a => a -> V1 a -> Bool # maximum :: Ord a => V1 a -> a # minimum :: Ord a => V1 a -> a # sum :: Num a => V1 a -> a # product :: Num a => V1 a -> a #
Foldable (U1 :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => U1 m -> m # foldMap :: Monoid m => (a -> m) -> U1 a -> m # foldr :: (a -> b -> b) -> b -> U1 a -> b # foldr' :: (a -> b -> b) -> b -> U1 a -> b # foldl :: (b -> a -> b) -> b -> U1 a -> b # foldl' :: (b -> a -> b) -> b -> U1 a -> b # foldr1 :: (a -> a -> a) -> U1 a -> a # foldl1 :: (a -> a -> a) -> U1 a -> a # toList :: U1 a -> [a] # null :: U1 a -> Bool # length :: U1 a -> Int # elem :: Eq a => a -> U1 a -> Bool # maximum :: Ord a => U1 a -> a # minimum :: Ord a => U1 a -> a # sum :: Num a => U1 a -> a # product :: Num a => U1 a -> a #
Foldable ((,) a)	Since: base-4.7.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => (a, m) -> m # foldMap :: Monoid m => (a0 -> m) -> (a, a0) -> m # foldr :: (a0 -> b -> b) -> b -> (a, a0) -> b # foldr' :: (a0 -> b -> b) -> b -> (a, a0) -> b # foldl :: (b -> a0 -> b) -> b -> (a, a0) -> b # foldl' :: (b -> a0 -> b) -> b -> (a, a0) -> b # foldr1 :: (a0 -> a0 -> a0) -> (a, a0) -> a0 # foldl1 :: (a0 -> a0 -> a0) -> (a, a0) -> a0 # toList :: (a, a0) -> [a0] # null :: (a, a0) -> Bool # length :: (a, a0) -> Int # elem :: Eq a0 => a0 -> (a, a0) -> Bool # maximum :: Ord a0 => (a, a0) -> a0 # minimum :: Ord a0 => (a, a0) -> a0 # sum :: Num a0 => (a, a0) -> a0 # product :: Num a0 => (a, a0) -> a0 #
Foldable (HashMap k)
Instance details Defined in Data.HashMap.Base Methods fold :: Monoid m => HashMap k m -> m # foldMap :: Monoid m => (a -> m) -> HashMap k a -> m # foldr :: (a -> b -> b) -> b -> HashMap k a -> b # foldr' :: (a -> b -> b) -> b -> HashMap k a -> b # foldl :: (b -> a -> b) -> b -> HashMap k a -> b # foldl' :: (b -> a -> b) -> b -> HashMap k a -> b # foldr1 :: (a -> a -> a) -> HashMap k a -> a # foldl1 :: (a -> a -> a) -> HashMap k a -> a # toList :: HashMap k a -> [a] # null :: HashMap k a -> Bool # length :: HashMap k a -> Int # elem :: Eq a => a -> HashMap k a -> Bool # maximum :: Ord a => HashMap k a -> a # minimum :: Ord a => HashMap k a -> a # sum :: Num a => HashMap k a -> a # product :: Num a => HashMap k a -> a #
Foldable (Map k)
Instance details Defined in Data.Map.Internal Methods fold :: Monoid m => Map k m -> m # foldMap :: Monoid m => (a -> m) -> Map k a -> m # foldr :: (a -> b -> b) -> b -> Map k a -> b # foldr' :: (a -> b -> b) -> b -> Map k a -> b # foldl :: (b -> a -> b) -> b -> Map k a -> b # foldl' :: (b -> a -> b) -> b -> Map k a -> b # foldr1 :: (a -> a -> a) -> Map k a -> a # foldl1 :: (a -> a -> a) -> Map k a -> a # toList :: Map k a -> [a] # null :: Map k a -> Bool # length :: Map k a -> Int # elem :: Eq a => a -> Map k a -> Bool # maximum :: Ord a => Map k a -> a # minimum :: Ord a => Map k a -> a # sum :: Num a => Map k a -> a # product :: Num a => Map k a -> a #
Foldable (Array i)	Since: base-4.8.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Array i m -> m # foldMap :: Monoid m => (a -> m) -> Array i a -> m # foldr :: (a -> b -> b) -> b -> Array i a -> b # foldr' :: (a -> b -> b) -> b -> Array i a -> b # foldl :: (b -> a -> b) -> b -> Array i a -> b # foldl' :: (b -> a -> b) -> b -> Array i a -> b # foldr1 :: (a -> a -> a) -> Array i a -> a # foldl1 :: (a -> a -> a) -> Array i a -> a # toList :: Array i a -> [a] # null :: Array i a -> Bool # length :: Array i a -> Int # elem :: Eq a => a -> Array i a -> Bool # maximum :: Ord a => Array i a -> a # minimum :: Ord a => Array i a -> a # sum :: Num a => Array i a -> a # product :: Num a => Array i a -> a #
Foldable (Arg a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fold :: Monoid m => Arg a m -> m # foldMap :: Monoid m => (a0 -> m) -> Arg a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Arg a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Arg a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Arg a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Arg a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Arg a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Arg a a0 -> a0 # toList :: Arg a a0 -> [a0] # null :: Arg a a0 -> Bool # length :: Arg a a0 -> Int # elem :: Eq a0 => a0 -> Arg a a0 -> Bool # maximum :: Ord a0 => Arg a a0 -> a0 # minimum :: Ord a0 => Arg a a0 -> a0 # sum :: Num a0 => Arg a a0 -> a0 # product :: Num a0 => Arg a a0 -> a0 #
Foldable (Proxy :: Type -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Proxy m -> m # foldMap :: Monoid m => (a -> m) -> Proxy a -> m # foldr :: (a -> b -> b) -> b -> Proxy a -> b # foldr' :: (a -> b -> b) -> b -> Proxy a -> b # foldl :: (b -> a -> b) -> b -> Proxy a -> b # foldl' :: (b -> a -> b) -> b -> Proxy a -> b # foldr1 :: (a -> a -> a) -> Proxy a -> a # foldl1 :: (a -> a -> a) -> Proxy a -> a # toList :: Proxy a -> [a] # null :: Proxy a -> Bool # length :: Proxy a -> Int # elem :: Eq a => a -> Proxy a -> Bool # maximum :: Ord a => Proxy a -> a # minimum :: Ord a => Proxy a -> a # sum :: Num a => Proxy a -> a # product :: Num a => Proxy a -> a #
Foldable f => Foldable (Cofree f)
Instance details Defined in Control.Comonad.Cofree Methods fold :: Monoid m => Cofree f m -> m # foldMap :: Monoid m => (a -> m) -> Cofree f a -> m # foldr :: (a -> b -> b) -> b -> Cofree f a -> b # foldr' :: (a -> b -> b) -> b -> Cofree f a -> b # foldl :: (b -> a -> b) -> b -> Cofree f a -> b # foldl' :: (b -> a -> b) -> b -> Cofree f a -> b # foldr1 :: (a -> a -> a) -> Cofree f a -> a # foldl1 :: (a -> a -> a) -> Cofree f a -> a # toList :: Cofree f a -> [a] # null :: Cofree f a -> Bool # length :: Cofree f a -> Int # elem :: Eq a => a -> Cofree f a -> Bool # maximum :: Ord a => Cofree f a -> a # minimum :: Ord a => Cofree f a -> a # sum :: Num a => Cofree f a -> a # product :: Num a => Cofree f a -> a #
Foldable f => Foldable (Free f)
Instance details Defined in Control.Monad.Free Methods fold :: Monoid m => Free f m -> m # foldMap :: Monoid m => (a -> m) -> Free f a -> m # foldr :: (a -> b -> b) -> b -> Free f a -> b # foldr' :: (a -> b -> b) -> b -> Free f a -> b # foldl :: (b -> a -> b) -> b -> Free f a -> b # foldl' :: (b -> a -> b) -> b -> Free f a -> b # foldr1 :: (a -> a -> a) -> Free f a -> a # foldl1 :: (a -> a -> a) -> Free f a -> a # toList :: Free f a -> [a] # null :: Free f a -> Bool # length :: Free f a -> Int # elem :: Eq a => a -> Free f a -> Bool # maximum :: Ord a => Free f a -> a # minimum :: Ord a => Free f a -> a # sum :: Num a => Free f a -> a # product :: Num a => Free f a -> a #
Foldable f => Foldable (Yoneda f)
Instance details Defined in Data.Functor.Yoneda Methods fold :: Monoid m => Yoneda f m -> m # foldMap :: Monoid m => (a -> m) -> Yoneda f a -> m # foldr :: (a -> b -> b) -> b -> Yoneda f a -> b # foldr' :: (a -> b -> b) -> b -> Yoneda f a -> b # foldl :: (b -> a -> b) -> b -> Yoneda f a -> b # foldl' :: (b -> a -> b) -> b -> Yoneda f a -> b # foldr1 :: (a -> a -> a) -> Yoneda f a -> a # foldl1 :: (a -> a -> a) -> Yoneda f a -> a # toList :: Yoneda f a -> [a] # null :: Yoneda f a -> Bool # length :: Yoneda f a -> Int # elem :: Eq a => a -> Yoneda f a -> Bool # maximum :: Ord a => Yoneda f a -> a # minimum :: Ord a => Yoneda f a -> a # sum :: Num a => Yoneda f a -> a # product :: Num a => Yoneda f a -> a #
Foldable f => Foldable (Rec1 f)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Rec1 f m -> m # foldMap :: Monoid m => (a -> m) -> Rec1 f a -> m # foldr :: (a -> b -> b) -> b -> Rec1 f a -> b # foldr' :: (a -> b -> b) -> b -> Rec1 f a -> b # foldl :: (b -> a -> b) -> b -> Rec1 f a -> b # foldl' :: (b -> a -> b) -> b -> Rec1 f a -> b # foldr1 :: (a -> a -> a) -> Rec1 f a -> a # foldl1 :: (a -> a -> a) -> Rec1 f a -> a # toList :: Rec1 f a -> [a] # null :: Rec1 f a -> Bool # length :: Rec1 f a -> Int # elem :: Eq a => a -> Rec1 f a -> Bool # maximum :: Ord a => Rec1 f a -> a # minimum :: Ord a => Rec1 f a -> a # sum :: Num a => Rec1 f a -> a # product :: Num a => Rec1 f a -> a #
Foldable (URec Char :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => URec Char m -> m # foldMap :: Monoid m => (a -> m) -> URec Char a -> m # foldr :: (a -> b -> b) -> b -> URec Char a -> b # foldr' :: (a -> b -> b) -> b -> URec Char a -> b # foldl :: (b -> a -> b) -> b -> URec Char a -> b # foldl' :: (b -> a -> b) -> b -> URec Char a -> b # foldr1 :: (a -> a -> a) -> URec Char a -> a # foldl1 :: (a -> a -> a) -> URec Char a -> a # toList :: URec Char a -> [a] # null :: URec Char a -> Bool # length :: URec Char a -> Int # elem :: Eq a => a -> URec Char a -> Bool # maximum :: Ord a => URec Char a -> a # minimum :: Ord a => URec Char a -> a # sum :: Num a => URec Char a -> a # product :: Num a => URec Char a -> a #
Foldable (URec Double :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => URec Double m -> m # foldMap :: Monoid m => (a -> m) -> URec Double a -> m # foldr :: (a -> b -> b) -> b -> URec Double a -> b # foldr' :: (a -> b -> b) -> b -> URec Double a -> b # foldl :: (b -> a -> b) -> b -> URec Double a -> b # foldl' :: (b -> a -> b) -> b -> URec Double a -> b # foldr1 :: (a -> a -> a) -> URec Double a -> a # foldl1 :: (a -> a -> a) -> URec Double a -> a # toList :: URec Double a -> [a] # null :: URec Double a -> Bool # length :: URec Double a -> Int # elem :: Eq a => a -> URec Double a -> Bool # maximum :: Ord a => URec Double a -> a # minimum :: Ord a => URec Double a -> a # sum :: Num a => URec Double a -> a # product :: Num a => URec Double a -> a #
Foldable (URec Float :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => URec Float m -> m # foldMap :: Monoid m => (a -> m) -> URec Float a -> m # foldr :: (a -> b -> b) -> b -> URec Float a -> b # foldr' :: (a -> b -> b) -> b -> URec Float a -> b # foldl :: (b -> a -> b) -> b -> URec Float a -> b # foldl' :: (b -> a -> b) -> b -> URec Float a -> b # foldr1 :: (a -> a -> a) -> URec Float a -> a # foldl1 :: (a -> a -> a) -> URec Float a -> a # toList :: URec Float a -> [a] # null :: URec Float a -> Bool # length :: URec Float a -> Int # elem :: Eq a => a -> URec Float a -> Bool # maximum :: Ord a => URec Float a -> a # minimum :: Ord a => URec Float a -> a # sum :: Num a => URec Float a -> a # product :: Num a => URec Float a -> a #
Foldable (URec Int :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => URec Int m -> m # foldMap :: Monoid m => (a -> m) -> URec Int a -> m # foldr :: (a -> b -> b) -> b -> URec Int a -> b # foldr' :: (a -> b -> b) -> b -> URec Int a -> b # foldl :: (b -> a -> b) -> b -> URec Int a -> b # foldl' :: (b -> a -> b) -> b -> URec Int a -> b # foldr1 :: (a -> a -> a) -> URec Int a -> a # foldl1 :: (a -> a -> a) -> URec Int a -> a # toList :: URec Int a -> [a] # null :: URec Int a -> Bool # length :: URec Int a -> Int # elem :: Eq a => a -> URec Int a -> Bool # maximum :: Ord a => URec Int a -> a # minimum :: Ord a => URec Int a -> a # sum :: Num a => URec Int a -> a # product :: Num a => URec Int a -> a #
Foldable (URec Word :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => URec Word m -> m # foldMap :: Monoid m => (a -> m) -> URec Word a -> m # foldr :: (a -> b -> b) -> b -> URec Word a -> b # foldr' :: (a -> b -> b) -> b -> URec Word a -> b # foldl :: (b -> a -> b) -> b -> URec Word a -> b # foldl' :: (b -> a -> b) -> b -> URec Word a -> b # foldr1 :: (a -> a -> a) -> URec Word a -> a # foldl1 :: (a -> a -> a) -> URec Word a -> a # toList :: URec Word a -> [a] # null :: URec Word a -> Bool # length :: URec Word a -> Int # elem :: Eq a => a -> URec Word a -> Bool # maximum :: Ord a => URec Word a -> a # minimum :: Ord a => URec Word a -> a # sum :: Num a => URec Word a -> a # product :: Num a => URec Word a -> a #
Foldable (URec (Ptr ()) :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => URec (Ptr ()) m -> m # foldMap :: Monoid m => (a -> m) -> URec (Ptr ()) a -> m # foldr :: (a -> b -> b) -> b -> URec (Ptr ()) a -> b # foldr' :: (a -> b -> b) -> b -> URec (Ptr ()) a -> b # foldl :: (b -> a -> b) -> b -> URec (Ptr ()) a -> b # foldl' :: (b -> a -> b) -> b -> URec (Ptr ()) a -> b # foldr1 :: (a -> a -> a) -> URec (Ptr ()) a -> a # foldl1 :: (a -> a -> a) -> URec (Ptr ()) a -> a # toList :: URec (Ptr ()) a -> [a] # null :: URec (Ptr ()) a -> Bool # length :: URec (Ptr ()) a -> Int # elem :: Eq a => a -> URec (Ptr ()) a -> Bool # maximum :: Ord a => URec (Ptr ()) a -> a # minimum :: Ord a => URec (Ptr ()) a -> a # sum :: Num a => URec (Ptr ()) a -> a # product :: Num a => URec (Ptr ()) a -> a #
Foldable (Const m :: Type -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Functor.Const Methods fold :: Monoid m0 => Const m m0 -> m0 # foldMap :: Monoid m0 => (a -> m0) -> Const m a -> m0 # foldr :: (a -> b -> b) -> b -> Const m a -> b # foldr' :: (a -> b -> b) -> b -> Const m a -> b # foldl :: (b -> a -> b) -> b -> Const m a -> b # foldl' :: (b -> a -> b) -> b -> Const m a -> b # foldr1 :: (a -> a -> a) -> Const m a -> a # foldl1 :: (a -> a -> a) -> Const m a -> a # toList :: Const m a -> [a] # null :: Const m a -> Bool # length :: Const m a -> Int # elem :: Eq a => a -> Const m a -> Bool # maximum :: Ord a => Const m a -> a # minimum :: Ord a => Const m a -> a # sum :: Num a => Const m a -> a # product :: Num a => Const m a -> a #
Foldable f => Foldable (Ap f)	Since: base-4.12.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Ap f m -> m # foldMap :: Monoid m => (a -> m) -> Ap f a -> m # foldr :: (a -> b -> b) -> b -> Ap f a -> b # foldr' :: (a -> b -> b) -> b -> Ap f a -> b # foldl :: (b -> a -> b) -> b -> Ap f a -> b # foldl' :: (b -> a -> b) -> b -> Ap f a -> b # foldr1 :: (a -> a -> a) -> Ap f a -> a # foldl1 :: (a -> a -> a) -> Ap f a -> a # toList :: Ap f a -> [a] # null :: Ap f a -> Bool # length :: Ap f a -> Int # elem :: Eq a => a -> Ap f a -> Bool # maximum :: Ord a => Ap f a -> a # minimum :: Ord a => Ap f a -> a # sum :: Num a => Ap f a -> a # product :: Num a => Ap f a -> a #
Foldable f => Foldable (Alt f)	Since: base-4.12.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Alt f m -> m # foldMap :: Monoid m => (a -> m) -> Alt f a -> m # foldr :: (a -> b -> b) -> b -> Alt f a -> b # foldr' :: (a -> b -> b) -> b -> Alt f a -> b # foldl :: (b -> a -> b) -> b -> Alt f a -> b # foldl' :: (b -> a -> b) -> b -> Alt f a -> b # foldr1 :: (a -> a -> a) -> Alt f a -> a # foldl1 :: (a -> a -> a) -> Alt f a -> a # toList :: Alt f a -> [a] # null :: Alt f a -> Bool # length :: Alt f a -> Int # elem :: Eq a => a -> Alt f a -> Bool # maximum :: Ord a => Alt f a -> a # minimum :: Ord a => Alt f a -> a # sum :: Num a => Alt f a -> a # product :: Num a => Alt f a -> a #
Bifoldable p => Foldable (Join p)
Instance details Defined in Data.Bifunctor.Join Methods fold :: Monoid m => Join p m -> m # foldMap :: Monoid m => (a -> m) -> Join p a -> m # foldr :: (a -> b -> b) -> b -> Join p a -> b # foldr' :: (a -> b -> b) -> b -> Join p a -> b # foldl :: (b -> a -> b) -> b -> Join p a -> b # foldl' :: (b -> a -> b) -> b -> Join p a -> b # foldr1 :: (a -> a -> a) -> Join p a -> a # foldl1 :: (a -> a -> a) -> Join p a -> a # toList :: Join p a -> [a] # null :: Join p a -> Bool # length :: Join p a -> Int # elem :: Eq a => a -> Join p a -> Bool # maximum :: Ord a => Join p a -> a # minimum :: Ord a => Join p a -> a # sum :: Num a => Join p a -> a # product :: Num a => Join p a -> a #
Bifoldable p => Foldable (Fix p)
Instance details Defined in Data.Bifunctor.Fix Methods fold :: Monoid m => Fix p m -> m # foldMap :: Monoid m => (a -> m) -> Fix p a -> m # foldr :: (a -> b -> b) -> b -> Fix p a -> b # foldr' :: (a -> b -> b) -> b -> Fix p a -> b # foldl :: (b -> a -> b) -> b -> Fix p a -> b # foldl' :: (b -> a -> b) -> b -> Fix p a -> b # foldr1 :: (a -> a -> a) -> Fix p a -> a # foldl1 :: (a -> a -> a) -> Fix p a -> a # toList :: Fix p a -> [a] # null :: Fix p a -> Bool # length :: Fix p a -> Int # elem :: Eq a => a -> Fix p a -> Bool # maximum :: Ord a => Fix p a -> a # minimum :: Ord a => Fix p a -> a # sum :: Num a => Fix p a -> a # product :: Num a => Fix p a -> a #
Foldable f => Foldable (ExceptT e f)
Instance details Defined in Control.Monad.Trans.Except Methods fold :: Monoid m => ExceptT e f m -> m # foldMap :: Monoid m => (a -> m) -> ExceptT e f a -> m # foldr :: (a -> b -> b) -> b -> ExceptT e f a -> b # foldr' :: (a -> b -> b) -> b -> ExceptT e f a -> b # foldl :: (b -> a -> b) -> b -> ExceptT e f a -> b # foldl' :: (b -> a -> b) -> b -> ExceptT e f a -> b # foldr1 :: (a -> a -> a) -> ExceptT e f a -> a # foldl1 :: (a -> a -> a) -> ExceptT e f a -> a # toList :: ExceptT e f a -> [a] # null :: ExceptT e f a -> Bool # length :: ExceptT e f a -> Int # elem :: Eq a => a -> ExceptT e f a -> Bool # maximum :: Ord a => ExceptT e f a -> a # minimum :: Ord a => ExceptT e f a -> a # sum :: Num a => ExceptT e f a -> a # product :: Num a => ExceptT e f a -> a #
Foldable f => Foldable (FreeF f a)
Instance details Defined in Control.Monad.Trans.Free Methods fold :: Monoid m => FreeF f a m -> m # foldMap :: Monoid m => (a0 -> m) -> FreeF f a a0 -> m # foldr :: (a0 -> b -> b) -> b -> FreeF f a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> FreeF f a a0 -> b # foldl :: (b -> a0 -> b) -> b -> FreeF f a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> FreeF f a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> FreeF f a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> FreeF f a a0 -> a0 # toList :: FreeF f a a0 -> [a0] # null :: FreeF f a a0 -> Bool # length :: FreeF f a a0 -> Int # elem :: Eq a0 => a0 -> FreeF f a a0 -> Bool # maximum :: Ord a0 => FreeF f a a0 -> a0 # minimum :: Ord a0 => FreeF f a a0 -> a0 # sum :: Num a0 => FreeF f a a0 -> a0 # product :: Num a0 => FreeF f a a0 -> a0 #
(Foldable m, Foldable f) => Foldable (FreeT f m)
Instance details Defined in Control.Monad.Trans.Free Methods fold :: Monoid m0 => FreeT f m m0 -> m0 # foldMap :: Monoid m0 => (a -> m0) -> FreeT f m a -> m0 # foldr :: (a -> b -> b) -> b -> FreeT f m a -> b # foldr' :: (a -> b -> b) -> b -> FreeT f m a -> b # foldl :: (b -> a -> b) -> b -> FreeT f m a -> b # foldl' :: (b -> a -> b) -> b -> FreeT f m a -> b # foldr1 :: (a -> a -> a) -> FreeT f m a -> a # foldl1 :: (a -> a -> a) -> FreeT f m a -> a # toList :: FreeT f m a -> [a] # null :: FreeT f m a -> Bool # length :: FreeT f m a -> Int # elem :: Eq a => a -> FreeT f m a -> Bool # maximum :: Ord a => FreeT f m a -> a # minimum :: Ord a => FreeT f m a -> a # sum :: Num a => FreeT f m a -> a # product :: Num a => FreeT f m a -> a #
Foldable f => Foldable (CofreeF f a)
Instance details Defined in Control.Comonad.Trans.Cofree Methods fold :: Monoid m => CofreeF f a m -> m # foldMap :: Monoid m => (a0 -> m) -> CofreeF f a a0 -> m # foldr :: (a0 -> b -> b) -> b -> CofreeF f a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> CofreeF f a a0 -> b # foldl :: (b -> a0 -> b) -> b -> CofreeF f a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> CofreeF f a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> CofreeF f a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> CofreeF f a a0 -> a0 # toList :: CofreeF f a a0 -> [a0] # null :: CofreeF f a a0 -> Bool # length :: CofreeF f a a0 -> Int # elem :: Eq a0 => a0 -> CofreeF f a a0 -> Bool # maximum :: Ord a0 => CofreeF f a a0 -> a0 # minimum :: Ord a0 => CofreeF f a a0 -> a0 # sum :: Num a0 => CofreeF f a a0 -> a0 # product :: Num a0 => CofreeF f a a0 -> a0 #
(Foldable f, Foldable w) => Foldable (CofreeT f w)
Instance details Defined in Control.Comonad.Trans.Cofree Methods fold :: Monoid m => CofreeT f w m -> m # foldMap :: Monoid m => (a -> m) -> CofreeT f w a -> m # foldr :: (a -> b -> b) -> b -> CofreeT f w a -> b # foldr' :: (a -> b -> b) -> b -> CofreeT f w a -> b # foldl :: (b -> a -> b) -> b -> CofreeT f w a -> b # foldl' :: (b -> a -> b) -> b -> CofreeT f w a -> b # foldr1 :: (a -> a -> a) -> CofreeT f w a -> a # foldl1 :: (a -> a -> a) -> CofreeT f w a -> a # toList :: CofreeT f w a -> [a] # null :: CofreeT f w a -> Bool # length :: CofreeT f w a -> Int # elem :: Eq a => a -> CofreeT f w a -> Bool # maximum :: Ord a => CofreeT f w a -> a # minimum :: Ord a => CofreeT f w a -> a # sum :: Num a => CofreeT f w a -> a # product :: Num a => CofreeT f w a -> a #
Foldable f => Foldable (ErrorT e f)
Instance details Defined in Control.Monad.Trans.Error Methods fold :: Monoid m => ErrorT e f m -> m # foldMap :: Monoid m => (a -> m) -> ErrorT e f a -> m # foldr :: (a -> b -> b) -> b -> ErrorT e f a -> b # foldr' :: (a -> b -> b) -> b -> ErrorT e f a -> b # foldl :: (b -> a -> b) -> b -> ErrorT e f a -> b # foldl' :: (b -> a -> b) -> b -> ErrorT e f a -> b # foldr1 :: (a -> a -> a) -> ErrorT e f a -> a # foldl1 :: (a -> a -> a) -> ErrorT e f a -> a # toList :: ErrorT e f a -> [a] # null :: ErrorT e f a -> Bool # length :: ErrorT e f a -> Int # elem :: Eq a => a -> ErrorT e f a -> Bool # maximum :: Ord a => ErrorT e f a -> a # minimum :: Ord a => ErrorT e f a -> a # sum :: Num a => ErrorT e f a -> a # product :: Num a => ErrorT e f a -> a #
Foldable (Tagged s)
Instance details Defined in Data.Tagged Methods fold :: Monoid m => Tagged s m -> m # foldMap :: Monoid m => (a -> m) -> Tagged s a -> m # foldr :: (a -> b -> b) -> b -> Tagged s a -> b # foldr' :: (a -> b -> b) -> b -> Tagged s a -> b # foldl :: (b -> a -> b) -> b -> Tagged s a -> b # foldl' :: (b -> a -> b) -> b -> Tagged s a -> b # foldr1 :: (a -> a -> a) -> Tagged s a -> a # foldl1 :: (a -> a -> a) -> Tagged s a -> a # toList :: Tagged s a -> [a] # null :: Tagged s a -> Bool # length :: Tagged s a -> Int # elem :: Eq a => a -> Tagged s a -> Bool # maximum :: Ord a => Tagged s a -> a # minimum :: Ord a => Tagged s a -> a # sum :: Num a => Tagged s a -> a # product :: Num a => Tagged s a -> a #
Foldable (K1 i c :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => K1 i c m -> m # foldMap :: Monoid m => (a -> m) -> K1 i c a -> m # foldr :: (a -> b -> b) -> b -> K1 i c a -> b # foldr' :: (a -> b -> b) -> b -> K1 i c a -> b # foldl :: (b -> a -> b) -> b -> K1 i c a -> b # foldl' :: (b -> a -> b) -> b -> K1 i c a -> b # foldr1 :: (a -> a -> a) -> K1 i c a -> a # foldl1 :: (a -> a -> a) -> K1 i c a -> a # toList :: K1 i c a -> [a] # null :: K1 i c a -> Bool # length :: K1 i c a -> Int # elem :: Eq a => a -> K1 i c a -> Bool # maximum :: Ord a => K1 i c a -> a # minimum :: Ord a => K1 i c a -> a # sum :: Num a => K1 i c a -> a # product :: Num a => K1 i c a -> a #
(Foldable f, Foldable g) => Foldable (f :+: g)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => (f :+: g) m -> m # foldMap :: Monoid m => (a -> m) -> (f :+: g) a -> m # foldr :: (a -> b -> b) -> b -> (f :+: g) a -> b # foldr' :: (a -> b -> b) -> b -> (f :+: g) a -> b # foldl :: (b -> a -> b) -> b -> (f :+: g) a -> b # foldl' :: (b -> a -> b) -> b -> (f :+: g) a -> b # foldr1 :: (a -> a -> a) -> (f :+: g) a -> a # foldl1 :: (a -> a -> a) -> (f :+: g) a -> a # toList :: (f :+: g) a -> [a] # null :: (f :+: g) a -> Bool # length :: (f :+: g) a -> Int # elem :: Eq a => a -> (f :+: g) a -> Bool # maximum :: Ord a => (f :+: g) a -> a # minimum :: Ord a => (f :+: g) a -> a # sum :: Num a => (f :+: g) a -> a # product :: Num a => (f :+: g) a -> a #
(Foldable f, Foldable g) => Foldable (f :*: g)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => (f :: g) m -> m # foldMap :: Monoid m => (a -> m) -> (f :: g) a -> m # foldr :: (a -> b -> b) -> b -> (f :: g) a -> b # foldr' :: (a -> b -> b) -> b -> (f :: g) a -> b # foldl :: (b -> a -> b) -> b -> (f :: g) a -> b # foldl' :: (b -> a -> b) -> b -> (f :: g) a -> b # foldr1 :: (a -> a -> a) -> (f :: g) a -> a # foldl1 :: (a -> a -> a) -> (f :: g) a -> a # toList :: (f :: g) a -> [a] # null :: (f :: g) a -> Bool # length :: (f :: g) a -> Int # elem :: Eq a => a -> (f :: g) a -> Bool # maximum :: Ord a => (f :: g) a -> a # minimum :: Ord a => (f :: g) a -> a # sum :: Num a => (f :: g) a -> a # product :: Num a => (f :: g) a -> a #
Foldable f => Foldable (M1 i c f)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => M1 i c f m -> m # foldMap :: Monoid m => (a -> m) -> M1 i c f a -> m # foldr :: (a -> b -> b) -> b -> M1 i c f a -> b # foldr' :: (a -> b -> b) -> b -> M1 i c f a -> b # foldl :: (b -> a -> b) -> b -> M1 i c f a -> b # foldl' :: (b -> a -> b) -> b -> M1 i c f a -> b # foldr1 :: (a -> a -> a) -> M1 i c f a -> a # foldl1 :: (a -> a -> a) -> M1 i c f a -> a # toList :: M1 i c f a -> [a] # null :: M1 i c f a -> Bool # length :: M1 i c f a -> Int # elem :: Eq a => a -> M1 i c f a -> Bool # maximum :: Ord a => M1 i c f a -> a # minimum :: Ord a => M1 i c f a -> a # sum :: Num a => M1 i c f a -> a # product :: Num a => M1 i c f a -> a #
(Foldable f, Foldable g) => Foldable (f :.: g)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => (f :.: g) m -> m # foldMap :: Monoid m => (a -> m) -> (f :.: g) a -> m # foldr :: (a -> b -> b) -> b -> (f :.: g) a -> b # foldr' :: (a -> b -> b) -> b -> (f :.: g) a -> b # foldl :: (b -> a -> b) -> b -> (f :.: g) a -> b # foldl' :: (b -> a -> b) -> b -> (f :.: g) a -> b # foldr1 :: (a -> a -> a) -> (f :.: g) a -> a # foldl1 :: (a -> a -> a) -> (f :.: g) a -> a # toList :: (f :.: g) a -> [a] # null :: (f :.: g) a -> Bool # length :: (f :.: g) a -> Int # elem :: Eq a => a -> (f :.: g) a -> Bool # maximum :: Ord a => (f :.: g) a -> a # minimum :: Ord a => (f :.: g) a -> a # sum :: Num a => (f :.: g) a -> a # product :: Num a => (f :.: g) a -> a #
Bifoldable p => Foldable (WrappedBifunctor p a)
Instance details Defined in Data.Bifunctor.Wrapped Methods fold :: Monoid m => WrappedBifunctor p a m -> m # foldMap :: Monoid m => (a0 -> m) -> WrappedBifunctor p a a0 -> m # foldr :: (a0 -> b -> b) -> b -> WrappedBifunctor p a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> WrappedBifunctor p a a0 -> b # foldl :: (b -> a0 -> b) -> b -> WrappedBifunctor p a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> WrappedBifunctor p a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> WrappedBifunctor p a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> WrappedBifunctor p a a0 -> a0 # toList :: WrappedBifunctor p a a0 -> [a0] # null :: WrappedBifunctor p a a0 -> Bool # length :: WrappedBifunctor p a a0 -> Int # elem :: Eq a0 => a0 -> WrappedBifunctor p a a0 -> Bool # maximum :: Ord a0 => WrappedBifunctor p a a0 -> a0 # minimum :: Ord a0 => WrappedBifunctor p a a0 -> a0 # sum :: Num a0 => WrappedBifunctor p a a0 -> a0 # product :: Num a0 => WrappedBifunctor p a a0 -> a0 #
Foldable g => Foldable (Joker g a)
Instance details Defined in Data.Bifunctor.Joker Methods fold :: Monoid m => Joker g a m -> m # foldMap :: Monoid m => (a0 -> m) -> Joker g a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Joker g a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Joker g a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Joker g a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Joker g a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Joker g a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Joker g a a0 -> a0 # toList :: Joker g a a0 -> [a0] # null :: Joker g a a0 -> Bool # length :: Joker g a a0 -> Int # elem :: Eq a0 => a0 -> Joker g a a0 -> Bool # maximum :: Ord a0 => Joker g a a0 -> a0 # minimum :: Ord a0 => Joker g a a0 -> a0 # sum :: Num a0 => Joker g a a0 -> a0 # product :: Num a0 => Joker g a a0 -> a0 #
Bifoldable p => Foldable (Flip p a)
Instance details Defined in Data.Bifunctor.Flip Methods fold :: Monoid m => Flip p a m -> m # foldMap :: Monoid m => (a0 -> m) -> Flip p a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Flip p a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Flip p a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Flip p a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Flip p a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Flip p a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Flip p a a0 -> a0 # toList :: Flip p a a0 -> [a0] # null :: Flip p a a0 -> Bool # length :: Flip p a a0 -> Int # elem :: Eq a0 => a0 -> Flip p a a0 -> Bool # maximum :: Ord a0 => Flip p a a0 -> a0 # minimum :: Ord a0 => Flip p a a0 -> a0 # sum :: Num a0 => Flip p a a0 -> a0 # product :: Num a0 => Flip p a a0 -> a0 #
Foldable (Clown f a :: Type -> Type)
Instance details Defined in Data.Bifunctor.Clown Methods fold :: Monoid m => Clown f a m -> m # foldMap :: Monoid m => (a0 -> m) -> Clown f a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Clown f a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Clown f a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Clown f a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Clown f a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Clown f a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Clown f a a0 -> a0 # toList :: Clown f a a0 -> [a0] # null :: Clown f a a0 -> Bool # length :: Clown f a a0 -> Int # elem :: Eq a0 => a0 -> Clown f a a0 -> Bool # maximum :: Ord a0 => Clown f a a0 -> a0 # minimum :: Ord a0 => Clown f a a0 -> a0 # sum :: Num a0 => Clown f a a0 -> a0 # product :: Num a0 => Clown f a a0 -> a0 #
(Foldable f, Bifoldable p) => Foldable (Tannen f p a)
Instance details Defined in Data.Bifunctor.Tannen Methods fold :: Monoid m => Tannen f p a m -> m # foldMap :: Monoid m => (a0 -> m) -> Tannen f p a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Tannen f p a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Tannen f p a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Tannen f p a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Tannen f p a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Tannen f p a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Tannen f p a a0 -> a0 # toList :: Tannen f p a a0 -> [a0] # null :: Tannen f p a a0 -> Bool # length :: Tannen f p a a0 -> Int # elem :: Eq a0 => a0 -> Tannen f p a a0 -> Bool # maximum :: Ord a0 => Tannen f p a a0 -> a0 # minimum :: Ord a0 => Tannen f p a a0 -> a0 # sum :: Num a0 => Tannen f p a a0 -> a0 # product :: Num a0 => Tannen f p a a0 -> a0 #
(Bifoldable p, Foldable g) => Foldable (Biff p f g a)
Instance details Defined in Data.Bifunctor.Biff Methods fold :: Monoid m => Biff p f g a m -> m # foldMap :: Monoid m => (a0 -> m) -> Biff p f g a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Biff p f g a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Biff p f g a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Biff p f g a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Biff p f g a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Biff p f g a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Biff p f g a a0 -> a0 # toList :: Biff p f g a a0 -> [a0] # null :: Biff p f g a a0 -> Bool # length :: Biff p f g a a0 -> Int # elem :: Eq a0 => a0 -> Biff p f g a a0 -> Bool # maximum :: Ord a0 => Biff p f g a a0 -> a0 # minimum :: Ord a0 => Biff p f g a a0 -> a0 # sum :: Num a0 => Biff p f g a a0 -> a0 # product :: Num a0 => Biff p f g a a0 -> a0 #

class (Functor t, Foldable t) => Traversable (t :: Type -> Type) where #

Functors representing data structures that can be traversed from left to right.

A definition of traverse must satisfy the following laws:

naturality: t . traverse f = traverse (t . f) for every applicative transformation t
identity: traverse Identity = Identity
composition: traverse (Compose . fmap g . f) = Compose . fmap (traverse g) . traverse f

A definition of sequenceA must satisfy the following laws:

naturality: t . sequenceA = sequenceA . fmap t for every applicative transformation t
identity: sequenceA . fmap Identity = Identity
composition: sequenceA . fmap Compose = Compose . fmap sequenceA . sequenceA

where an applicative transformation is a function

t :: (Applicative f, Applicative g) => f a -> g a

preserving the Applicative operations, i.e.

```
t (pure x) = pure x
```
```
t (x <*> y) = t x <*> t y
```

and the identity functor Identity and composition of functors Compose are defined as

  newtype Identity a = Identity a

  instance Functor Identity where
    fmap f (Identity x) = Identity (f x)

  instance Applicative Identity where
    pure x = Identity x
    Identity f <*> Identity x = Identity (f x)

  newtype Compose f g a = Compose (f (g a))

  instance (Functor f, Functor g) => Functor (Compose f g) where
    fmap f (Compose x) = Compose (fmap (fmap f) x)

  instance (Applicative f, Applicative g) => Applicative (Compose f g) where
    pure x = Compose (pure (pure x))
    Compose f <*> Compose x = Compose ((<*>) <$> f <*> x)

(The naturality law is implied by parametricity.)

Instances are similar to Functor, e.g. given a data type

data Tree a = Empty | Leaf a | Node (Tree a) a (Tree a)

a suitable instance would be

instance Traversable Tree where
   traverse f Empty = pure Empty
   traverse f (Leaf x) = Leaf <$> f x
   traverse f (Node l k r) = Node <$> traverse f l <*> f k <*> traverse f r

This is suitable even for abstract types, as the laws for <*> imply a form of associativity.

The superclass instances should satisfy the following:

In the Functor instance, fmap should be equivalent to traversal with the identity applicative functor (fmapDefault).
In the Foldable instance, foldMap should be equivalent to traversal with a constant applicative functor (foldMapDefault).

Minimal complete definition

traverse | sequenceA

Methods

traverse :: Applicative f => (a -> f b) -> t a -> f (t b) #

Map each element of a structure to an action, evaluate these actions from left to right, and collect the results. For a version that ignores the results see traverse_.

sequenceA :: Applicative f => t (f a) -> f (t a) #

Evaluate each action in the structure from left to right, and collect the results. For a version that ignores the results see sequenceA_.

mapM :: Monad m => (a -> m b) -> t a -> m (t b) #

Map each element of a structure to a monadic action, evaluate these actions from left to right, and collect the results. For a version that ignores the results see mapM_.

sequence :: Monad m => t (m a) -> m (t a) #

Evaluate each monadic action in the structure from left to right, and collect the results. For a version that ignores the results see sequence_.

Instances

Traversable []	Since: base-2.1
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> [a] -> f [b] # sequenceA :: Applicative f => [f a] -> f [a] # mapM :: Monad m => (a -> m b) -> [a] -> m [b] # sequence :: Monad m => [m a] -> m [a] #
Traversable Maybe	Since: base-2.1
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Maybe a -> f (Maybe b) # sequenceA :: Applicative f => Maybe (f a) -> f (Maybe a) # mapM :: Monad m => (a -> m b) -> Maybe a -> m (Maybe b) # sequence :: Monad m => Maybe (m a) -> m (Maybe a) #
Traversable Par1	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Par1 a -> f (Par1 b) # sequenceA :: Applicative f => Par1 (f a) -> f (Par1 a) # mapM :: Monad m => (a -> m b) -> Par1 a -> m (Par1 b) # sequence :: Monad m => Par1 (m a) -> m (Par1 a) #
Traversable IResult
Instance details Defined in Data.Aeson.Types.Internal Methods traverse :: Applicative f => (a -> f b) -> IResult a -> f (IResult b) # sequenceA :: Applicative f => IResult (f a) -> f (IResult a) # mapM :: Monad m => (a -> m b) -> IResult a -> m (IResult b) # sequence :: Monad m => IResult (m a) -> m (IResult a) #
Traversable Result
Instance details Defined in Data.Aeson.Types.Internal Methods traverse :: Applicative f => (a -> f b) -> Result a -> f (Result b) # sequenceA :: Applicative f => Result (f a) -> f (Result a) # mapM :: Monad m => (a -> m b) -> Result a -> m (Result b) # sequence :: Monad m => Result (m a) -> m (Result a) #
Traversable Complex	Since: base-4.9.0.0
Instance details Defined in Data.Complex Methods traverse :: Applicative f => (a -> f b) -> Complex a -> f (Complex b) # sequenceA :: Applicative f => Complex (f a) -> f (Complex a) # mapM :: Monad m => (a -> m b) -> Complex a -> m (Complex b) # sequence :: Monad m => Complex (m a) -> m (Complex a) #
Traversable Min	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods traverse :: Applicative f => (a -> f b) -> Min a -> f (Min b) # sequenceA :: Applicative f => Min (f a) -> f (Min a) # mapM :: Monad m => (a -> m b) -> Min a -> m (Min b) # sequence :: Monad m => Min (m a) -> m (Min a) #
Traversable Max	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods traverse :: Applicative f => (a -> f b) -> Max a -> f (Max b) # sequenceA :: Applicative f => Max (f a) -> f (Max a) # mapM :: Monad m => (a -> m b) -> Max a -> m (Max b) # sequence :: Monad m => Max (m a) -> m (Max a) #
Traversable First	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods traverse :: Applicative f => (a -> f b) -> First a -> f (First b) # sequenceA :: Applicative f => First (f a) -> f (First a) # mapM :: Monad m => (a -> m b) -> First a -> m (First b) # sequence :: Monad m => First (m a) -> m (First a) #
Traversable Last	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods traverse :: Applicative f => (a -> f b) -> Last a -> f (Last b) # sequenceA :: Applicative f => Last (f a) -> f (Last a) # mapM :: Monad m => (a -> m b) -> Last a -> m (Last b) # sequence :: Monad m => Last (m a) -> m (Last a) #
Traversable Option	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods traverse :: Applicative f => (a -> f b) -> Option a -> f (Option b) # sequenceA :: Applicative f => Option (f a) -> f (Option a) # mapM :: Monad m => (a -> m b) -> Option a -> m (Option b) # sequence :: Monad m => Option (m a) -> m (Option a) #
Traversable ZipList	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> ZipList a -> f (ZipList b) # sequenceA :: Applicative f => ZipList (f a) -> f (ZipList a) # mapM :: Monad m => (a -> m b) -> ZipList a -> m (ZipList b) # sequence :: Monad m => ZipList (m a) -> m (ZipList a) #
Traversable Identity	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Identity a -> f (Identity b) # sequenceA :: Applicative f => Identity (f a) -> f (Identity a) # mapM :: Monad m => (a -> m b) -> Identity a -> m (Identity b) # sequence :: Monad m => Identity (m a) -> m (Identity a) #
Traversable First	Since: base-4.8.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> First a -> f (First b) # sequenceA :: Applicative f => First (f a) -> f (First a) # mapM :: Monad m => (a -> m b) -> First a -> m (First b) # sequence :: Monad m => First (m a) -> m (First a) #
Traversable Last	Since: base-4.8.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Last a -> f (Last b) # sequenceA :: Applicative f => Last (f a) -> f (Last a) # mapM :: Monad m => (a -> m b) -> Last a -> m (Last b) # sequence :: Monad m => Last (m a) -> m (Last a) #
Traversable Dual	Since: base-4.8.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Dual a -> f (Dual b) # sequenceA :: Applicative f => Dual (f a) -> f (Dual a) # mapM :: Monad m => (a -> m b) -> Dual a -> m (Dual b) # sequence :: Monad m => Dual (m a) -> m (Dual a) #
Traversable Sum	Since: base-4.8.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Sum a -> f (Sum b) # sequenceA :: Applicative f => Sum (f a) -> f (Sum a) # mapM :: Monad m => (a -> m b) -> Sum a -> m (Sum b) # sequence :: Monad m => Sum (m a) -> m (Sum a) #
Traversable Product	Since: base-4.8.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Product a -> f (Product b) # sequenceA :: Applicative f => Product (f a) -> f (Product a) # mapM :: Monad m => (a -> m b) -> Product a -> m (Product b) # sequence :: Monad m => Product (m a) -> m (Product a) #
Traversable Down	Since: base-4.12.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Down a -> f (Down b) # sequenceA :: Applicative f => Down (f a) -> f (Down a) # mapM :: Monad m => (a -> m b) -> Down a -> m (Down b) # sequence :: Monad m => Down (m a) -> m (Down a) #
Traversable NonEmpty	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> NonEmpty a -> f (NonEmpty b) # sequenceA :: Applicative f => NonEmpty (f a) -> f (NonEmpty a) # mapM :: Monad m => (a -> m b) -> NonEmpty a -> m (NonEmpty b) # sequence :: Monad m => NonEmpty (m a) -> m (NonEmpty a) #
Traversable IntMap
Instance details Defined in Data.IntMap.Internal Methods traverse :: Applicative f => (a -> f b) -> IntMap a -> f (IntMap b) # sequenceA :: Applicative f => IntMap (f a) -> f (IntMap a) # mapM :: Monad m => (a -> m b) -> IntMap a -> m (IntMap b) # sequence :: Monad m => IntMap (m a) -> m (IntMap a) #
Traversable Tree
Instance details Defined in Data.Tree Methods traverse :: Applicative f => (a -> f b) -> Tree a -> f (Tree b) # sequenceA :: Applicative f => Tree (f a) -> f (Tree a) # mapM :: Monad m => (a -> m b) -> Tree a -> m (Tree b) # sequence :: Monad m => Tree (m a) -> m (Tree a) #
Traversable Seq
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> Seq a -> f (Seq b) # sequenceA :: Applicative f => Seq (f a) -> f (Seq a) # mapM :: Monad m => (a -> m b) -> Seq a -> m (Seq b) # sequence :: Monad m => Seq (m a) -> m (Seq a) #
Traversable FingerTree
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> FingerTree a -> f (FingerTree b) # sequenceA :: Applicative f => FingerTree (f a) -> f (FingerTree a) # mapM :: Monad m => (a -> m b) -> FingerTree a -> m (FingerTree b) # sequence :: Monad m => FingerTree (m a) -> m (FingerTree a) #
Traversable Digit
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> Digit a -> f (Digit b) # sequenceA :: Applicative f => Digit (f a) -> f (Digit a) # mapM :: Monad m => (a -> m b) -> Digit a -> m (Digit b) # sequence :: Monad m => Digit (m a) -> m (Digit a) #
Traversable Node
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> Node a -> f (Node b) # sequenceA :: Applicative f => Node (f a) -> f (Node a) # mapM :: Monad m => (a -> m b) -> Node a -> m (Node b) # sequence :: Monad m => Node (m a) -> m (Node a) #
Traversable Elem
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> Elem a -> f (Elem b) # sequenceA :: Applicative f => Elem (f a) -> f (Elem a) # mapM :: Monad m => (a -> m b) -> Elem a -> m (Elem b) # sequence :: Monad m => Elem (m a) -> m (Elem a) #
Traversable ViewL
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> ViewL a -> f (ViewL b) # sequenceA :: Applicative f => ViewL (f a) -> f (ViewL a) # mapM :: Monad m => (a -> m b) -> ViewL a -> m (ViewL b) # sequence :: Monad m => ViewL (m a) -> m (ViewL a) #
Traversable ViewR
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> ViewR a -> f (ViewR b) # sequenceA :: Applicative f => ViewR (f a) -> f (ViewR a) # mapM :: Monad m => (a -> m b) -> ViewR a -> m (ViewR b) # sequence :: Monad m => ViewR (m a) -> m (ViewR a) #
Traversable Vector
Instance details Defined in Data.Vector Methods traverse :: Applicative f => (a -> f b) -> Vector a -> f (Vector b) # sequenceA :: Applicative f => Vector (f a) -> f (Vector a) # mapM :: Monad m => (a -> m b) -> Vector a -> m (Vector b) # sequence :: Monad m => Vector (m a) -> m (Vector a) #
Traversable SmallArray
Instance details Defined in Data.Primitive.SmallArray Methods traverse :: Applicative f => (a -> f b) -> SmallArray a -> f (SmallArray b) # sequenceA :: Applicative f => SmallArray (f a) -> f (SmallArray a) # mapM :: Monad m => (a -> m b) -> SmallArray a -> m (SmallArray b) # sequence :: Monad m => SmallArray (m a) -> m (SmallArray a) #
Traversable Array
Instance details Defined in Data.Primitive.Array Methods traverse :: Applicative f => (a -> f b) -> Array a -> f (Array b) # sequenceA :: Applicative f => Array (f a) -> f (Array a) # mapM :: Monad m => (a -> m b) -> Array a -> m (Array b) # sequence :: Monad m => Array (m a) -> m (Array a) #
Traversable (Either a)	Since: base-4.7.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a0 -> f b) -> Either a a0 -> f (Either a b) # sequenceA :: Applicative f => Either a (f a0) -> f (Either a a0) # mapM :: Monad m => (a0 -> m b) -> Either a a0 -> m (Either a b) # sequence :: Monad m => Either a (m a0) -> m (Either a a0) #
Traversable (V1 :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> V1 a -> f (V1 b) # sequenceA :: Applicative f => V1 (f a) -> f (V1 a) # mapM :: Monad m => (a -> m b) -> V1 a -> m (V1 b) # sequence :: Monad m => V1 (m a) -> m (V1 a) #
Traversable (U1 :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> U1 a -> f (U1 b) # sequenceA :: Applicative f => U1 (f a) -> f (U1 a) # mapM :: Monad m => (a -> m b) -> U1 a -> m (U1 b) # sequence :: Monad m => U1 (m a) -> m (U1 a) #
Traversable ((,) a)	Since: base-4.7.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a0 -> f b) -> (a, a0) -> f (a, b) # sequenceA :: Applicative f => (a, f a0) -> f (a, a0) # mapM :: Monad m => (a0 -> m b) -> (a, a0) -> m (a, b) # sequence :: Monad m => (a, m a0) -> m (a, a0) #
Traversable (HashMap k)
Instance details Defined in Data.HashMap.Base Methods traverse :: Applicative f => (a -> f b) -> HashMap k a -> f (HashMap k b) # sequenceA :: Applicative f => HashMap k (f a) -> f (HashMap k a) # mapM :: Monad m => (a -> m b) -> HashMap k a -> m (HashMap k b) # sequence :: Monad m => HashMap k (m a) -> m (HashMap k a) #
Traversable (Map k)
Instance details Defined in Data.Map.Internal Methods traverse :: Applicative f => (a -> f b) -> Map k a -> f (Map k b) # sequenceA :: Applicative f => Map k (f a) -> f (Map k a) # mapM :: Monad m => (a -> m b) -> Map k a -> m (Map k b) # sequence :: Monad m => Map k (m a) -> m (Map k a) #
Ix i => Traversable (Array i)	Since: base-2.1
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Array i a -> f (Array i b) # sequenceA :: Applicative f => Array i (f a) -> f (Array i a) # mapM :: Monad m => (a -> m b) -> Array i a -> m (Array i b) # sequence :: Monad m => Array i (m a) -> m (Array i a) #
Traversable (Arg a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods traverse :: Applicative f => (a0 -> f b) -> Arg a a0 -> f (Arg a b) # sequenceA :: Applicative f => Arg a (f a0) -> f (Arg a a0) # mapM :: Monad m => (a0 -> m b) -> Arg a a0 -> m (Arg a b) # sequence :: Monad m => Arg a (m a0) -> m (Arg a a0) #
Traversable (Proxy :: Type -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Proxy a -> f (Proxy b) # sequenceA :: Applicative f => Proxy (f a) -> f (Proxy a) # mapM :: Monad m => (a -> m b) -> Proxy a -> m (Proxy b) # sequence :: Monad m => Proxy (m a) -> m (Proxy a) #
Traversable f => Traversable (Cofree f)
Instance details Defined in Control.Comonad.Cofree Methods traverse :: Applicative f0 => (a -> f0 b) -> Cofree f a -> f0 (Cofree f b) # sequenceA :: Applicative f0 => Cofree f (f0 a) -> f0 (Cofree f a) # mapM :: Monad m => (a -> m b) -> Cofree f a -> m (Cofree f b) # sequence :: Monad m => Cofree f (m a) -> m (Cofree f a) #
Traversable f => Traversable (Free f)
Instance details Defined in Control.Monad.Free Methods traverse :: Applicative f0 => (a -> f0 b) -> Free f a -> f0 (Free f b) # sequenceA :: Applicative f0 => Free f (f0 a) -> f0 (Free f a) # mapM :: Monad m => (a -> m b) -> Free f a -> m (Free f b) # sequence :: Monad m => Free f (m a) -> m (Free f a) #
Traversable f => Traversable (Yoneda f)
Instance details Defined in Data.Functor.Yoneda Methods traverse :: Applicative f0 => (a -> f0 b) -> Yoneda f a -> f0 (Yoneda f b) # sequenceA :: Applicative f0 => Yoneda f (f0 a) -> f0 (Yoneda f a) # mapM :: Monad m => (a -> m b) -> Yoneda f a -> m (Yoneda f b) # sequence :: Monad m => Yoneda f (m a) -> m (Yoneda f a) #
Traversable f => Traversable (Rec1 f)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> Rec1 f a -> f0 (Rec1 f b) # sequenceA :: Applicative f0 => Rec1 f (f0 a) -> f0 (Rec1 f a) # mapM :: Monad m => (a -> m b) -> Rec1 f a -> m (Rec1 f b) # sequence :: Monad m => Rec1 f (m a) -> m (Rec1 f a) #
Traversable (URec Char :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> URec Char a -> f (URec Char b) # sequenceA :: Applicative f => URec Char (f a) -> f (URec Char a) # mapM :: Monad m => (a -> m b) -> URec Char a -> m (URec Char b) # sequence :: Monad m => URec Char (m a) -> m (URec Char a) #
Traversable (URec Double :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> URec Double a -> f (URec Double b) # sequenceA :: Applicative f => URec Double (f a) -> f (URec Double a) # mapM :: Monad m => (a -> m b) -> URec Double a -> m (URec Double b) # sequence :: Monad m => URec Double (m a) -> m (URec Double a) #
Traversable (URec Float :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> URec Float a -> f (URec Float b) # sequenceA :: Applicative f => URec Float (f a) -> f (URec Float a) # mapM :: Monad m => (a -> m b) -> URec Float a -> m (URec Float b) # sequence :: Monad m => URec Float (m a) -> m (URec Float a) #
Traversable (URec Int :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> URec Int a -> f (URec Int b) # sequenceA :: Applicative f => URec Int (f a) -> f (URec Int a) # mapM :: Monad m => (a -> m b) -> URec Int a -> m (URec Int b) # sequence :: Monad m => URec Int (m a) -> m (URec Int a) #
Traversable (URec Word :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> URec Word a -> f (URec Word b) # sequenceA :: Applicative f => URec Word (f a) -> f (URec Word a) # mapM :: Monad m => (a -> m b) -> URec Word a -> m (URec Word b) # sequence :: Monad m => URec Word (m a) -> m (URec Word a) #
Traversable (URec (Ptr ()) :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> URec (Ptr ()) a -> f (URec (Ptr ()) b) # sequenceA :: Applicative f => URec (Ptr ()) (f a) -> f (URec (Ptr ()) a) # mapM :: Monad m => (a -> m b) -> URec (Ptr ()) a -> m (URec (Ptr ()) b) # sequence :: Monad m => URec (Ptr ()) (m a) -> m (URec (Ptr ()) a) #
Traversable (Const m :: Type -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Const m a -> f (Const m b) # sequenceA :: Applicative f => Const m (f a) -> f (Const m a) # mapM :: Monad m0 => (a -> m0 b) -> Const m a -> m0 (Const m b) # sequence :: Monad m0 => Const m (m0 a) -> m0 (Const m a) #
Traversable f => Traversable (Ap f)	Since: base-4.12.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> Ap f a -> f0 (Ap f b) # sequenceA :: Applicative f0 => Ap f (f0 a) -> f0 (Ap f a) # mapM :: Monad m => (a -> m b) -> Ap f a -> m (Ap f b) # sequence :: Monad m => Ap f (m a) -> m (Ap f a) #
Traversable f => Traversable (Alt f)	Since: base-4.12.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> Alt f a -> f0 (Alt f b) # sequenceA :: Applicative f0 => Alt f (f0 a) -> f0 (Alt f a) # mapM :: Monad m => (a -> m b) -> Alt f a -> m (Alt f b) # sequence :: Monad m => Alt f (m a) -> m (Alt f a) #
Bitraversable p => Traversable (Join p)
Instance details Defined in Data.Bifunctor.Join Methods traverse :: Applicative f => (a -> f b) -> Join p a -> f (Join p b) # sequenceA :: Applicative f => Join p (f a) -> f (Join p a) # mapM :: Monad m => (a -> m b) -> Join p a -> m (Join p b) # sequence :: Monad m => Join p (m a) -> m (Join p a) #
Bitraversable p => Traversable (Fix p)
Instance details Defined in Data.Bifunctor.Fix Methods traverse :: Applicative f => (a -> f b) -> Fix p a -> f (Fix p b) # sequenceA :: Applicative f => Fix p (f a) -> f (Fix p a) # mapM :: Monad m => (a -> m b) -> Fix p a -> m (Fix p b) # sequence :: Monad m => Fix p (m a) -> m (Fix p a) #
Traversable f => Traversable (ExceptT e f)
Instance details Defined in Control.Monad.Trans.Except Methods traverse :: Applicative f0 => (a -> f0 b) -> ExceptT e f a -> f0 (ExceptT e f b) # sequenceA :: Applicative f0 => ExceptT e f (f0 a) -> f0 (ExceptT e f a) # mapM :: Monad m => (a -> m b) -> ExceptT e f a -> m (ExceptT e f b) # sequence :: Monad m => ExceptT e f (m a) -> m (ExceptT e f a) #
Traversable f => Traversable (FreeF f a)
Instance details Defined in Control.Monad.Trans.Free Methods traverse :: Applicative f0 => (a0 -> f0 b) -> FreeF f a a0 -> f0 (FreeF f a b) # sequenceA :: Applicative f0 => FreeF f a (f0 a0) -> f0 (FreeF f a a0) # mapM :: Monad m => (a0 -> m b) -> FreeF f a a0 -> m (FreeF f a b) # sequence :: Monad m => FreeF f a (m a0) -> m (FreeF f a a0) #
(Monad m, Traversable m, Traversable f) => Traversable (FreeT f m)
Instance details Defined in Control.Monad.Trans.Free Methods traverse :: Applicative f0 => (a -> f0 b) -> FreeT f m a -> f0 (FreeT f m b) # sequenceA :: Applicative f0 => FreeT f m (f0 a) -> f0 (FreeT f m a) # mapM :: Monad m0 => (a -> m0 b) -> FreeT f m a -> m0 (FreeT f m b) # sequence :: Monad m0 => FreeT f m (m0 a) -> m0 (FreeT f m a) #
Traversable f => Traversable (CofreeF f a)
Instance details Defined in Control.Comonad.Trans.Cofree Methods traverse :: Applicative f0 => (a0 -> f0 b) -> CofreeF f a a0 -> f0 (CofreeF f a b) # sequenceA :: Applicative f0 => CofreeF f a (f0 a0) -> f0 (CofreeF f a a0) # mapM :: Monad m => (a0 -> m b) -> CofreeF f a a0 -> m (CofreeF f a b) # sequence :: Monad m => CofreeF f a (m a0) -> m (CofreeF f a a0) #
(Traversable f, Traversable w) => Traversable (CofreeT f w)
Instance details Defined in Control.Comonad.Trans.Cofree Methods traverse :: Applicative f0 => (a -> f0 b) -> CofreeT f w a -> f0 (CofreeT f w b) # sequenceA :: Applicative f0 => CofreeT f w (f0 a) -> f0 (CofreeT f w a) # mapM :: Monad m => (a -> m b) -> CofreeT f w a -> m (CofreeT f w b) # sequence :: Monad m => CofreeT f w (m a) -> m (CofreeT f w a) #
Traversable f => Traversable (ErrorT e f)
Instance details Defined in Control.Monad.Trans.Error Methods traverse :: Applicative f0 => (a -> f0 b) -> ErrorT e f a -> f0 (ErrorT e f b) # sequenceA :: Applicative f0 => ErrorT e f (f0 a) -> f0 (ErrorT e f a) # mapM :: Monad m => (a -> m b) -> ErrorT e f a -> m (ErrorT e f b) # sequence :: Monad m => ErrorT e f (m a) -> m (ErrorT e f a) #
Traversable (Tagged s)
Instance details Defined in Data.Tagged Methods traverse :: Applicative f => (a -> f b) -> Tagged s a -> f (Tagged s b) # sequenceA :: Applicative f => Tagged s (f a) -> f (Tagged s a) # mapM :: Monad m => (a -> m b) -> Tagged s a -> m (Tagged s b) # sequence :: Monad m => Tagged s (m a) -> m (Tagged s a) #
Traversable (K1 i c :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> K1 i c a -> f (K1 i c b) # sequenceA :: Applicative f => K1 i c (f a) -> f (K1 i c a) # mapM :: Monad m => (a -> m b) -> K1 i c a -> m (K1 i c b) # sequence :: Monad m => K1 i c (m a) -> m (K1 i c a) #
(Traversable f, Traversable g) => Traversable (f :+: g)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> (f :+: g) a -> f0 ((f :+: g) b) # sequenceA :: Applicative f0 => (f :+: g) (f0 a) -> f0 ((f :+: g) a) # mapM :: Monad m => (a -> m b) -> (f :+: g) a -> m ((f :+: g) b) # sequence :: Monad m => (f :+: g) (m a) -> m ((f :+: g) a) #
(Traversable f, Traversable g) => Traversable (f :*: g)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> (f :: g) a -> f0 ((f :: g) b) # sequenceA :: Applicative f0 => (f :: g) (f0 a) -> f0 ((f :: g) a) # mapM :: Monad m => (a -> m b) -> (f :: g) a -> m ((f :: g) b) # sequence :: Monad m => (f :: g) (m a) -> m ((f :: g) a) #
Traversable f => Traversable (M1 i c f)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> M1 i c f a -> f0 (M1 i c f b) # sequenceA :: Applicative f0 => M1 i c f (f0 a) -> f0 (M1 i c f a) # mapM :: Monad m => (a -> m b) -> M1 i c f a -> m (M1 i c f b) # sequence :: Monad m => M1 i c f (m a) -> m (M1 i c f a) #
(Traversable f, Traversable g) => Traversable (f :.: g)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> (f :.: g) a -> f0 ((f :.: g) b) # sequenceA :: Applicative f0 => (f :.: g) (f0 a) -> f0 ((f :.: g) a) # mapM :: Monad m => (a -> m b) -> (f :.: g) a -> m ((f :.: g) b) # sequence :: Monad m => (f :.: g) (m a) -> m ((f :.: g) a) #
Bitraversable p => Traversable (WrappedBifunctor p a)
Instance details Defined in Data.Bifunctor.Wrapped Methods traverse :: Applicative f => (a0 -> f b) -> WrappedBifunctor p a a0 -> f (WrappedBifunctor p a b) # sequenceA :: Applicative f => WrappedBifunctor p a (f a0) -> f (WrappedBifunctor p a a0) # mapM :: Monad m => (a0 -> m b) -> WrappedBifunctor p a a0 -> m (WrappedBifunctor p a b) # sequence :: Monad m => WrappedBifunctor p a (m a0) -> m (WrappedBifunctor p a a0) #
Traversable g => Traversable (Joker g a)
Instance details Defined in Data.Bifunctor.Joker Methods traverse :: Applicative f => (a0 -> f b) -> Joker g a a0 -> f (Joker g a b) # sequenceA :: Applicative f => Joker g a (f a0) -> f (Joker g a a0) # mapM :: Monad m => (a0 -> m b) -> Joker g a a0 -> m (Joker g a b) # sequence :: Monad m => Joker g a (m a0) -> m (Joker g a a0) #
Bitraversable p => Traversable (Flip p a)
Instance details Defined in Data.Bifunctor.Flip Methods traverse :: Applicative f => (a0 -> f b) -> Flip p a a0 -> f (Flip p a b) # sequenceA :: Applicative f => Flip p a (f a0) -> f (Flip p a a0) # mapM :: Monad m => (a0 -> m b) -> Flip p a a0 -> m (Flip p a b) # sequence :: Monad m => Flip p a (m a0) -> m (Flip p a a0) #
Traversable (Clown f a :: Type -> Type)
Instance details Defined in Data.Bifunctor.Clown Methods traverse :: Applicative f0 => (a0 -> f0 b) -> Clown f a a0 -> f0 (Clown f a b) # sequenceA :: Applicative f0 => Clown f a (f0 a0) -> f0 (Clown f a a0) # mapM :: Monad m => (a0 -> m b) -> Clown f a a0 -> m (Clown f a b) # sequence :: Monad m => Clown f a (m a0) -> m (Clown f a a0) #
(Traversable f, Bitraversable p) => Traversable (Tannen f p a)
Instance details Defined in Data.Bifunctor.Tannen Methods traverse :: Applicative f0 => (a0 -> f0 b) -> Tannen f p a a0 -> f0 (Tannen f p a b) # sequenceA :: Applicative f0 => Tannen f p a (f0 a0) -> f0 (Tannen f p a a0) # mapM :: Monad m => (a0 -> m b) -> Tannen f p a a0 -> m (Tannen f p a b) # sequence :: Monad m => Tannen f p a (m a0) -> m (Tannen f p a a0) #
(Bitraversable p, Traversable g) => Traversable (Biff p f g a)
Instance details Defined in Data.Bifunctor.Biff Methods traverse :: Applicative f0 => (a0 -> f0 b) -> Biff p f g a a0 -> f0 (Biff p f g a b) # sequenceA :: Applicative f0 => Biff p f g a (f0 a0) -> f0 (Biff p f g a a0) # mapM :: Monad m => (a0 -> m b) -> Biff p f g a a0 -> m (Biff p f g a b) # sequence :: Monad m => Biff p f g a (m a0) -> m (Biff p f g a a0) #

class Generic a where #

Representable types of kind *. This class is derivable in GHC with the DeriveGeneric flag on.

A Generic instance must satisfy the following laws:

from . to ≡ id
to . from ≡ id

Associated Types

type Rep a :: Type -> Type #

Generic representation type

Methods

from :: a -> Rep a x #

Convert from the datatype to its representation

to :: Rep a x -> a #

Convert from the representation to the datatype

Instances

Generic Bool
Instance details Defined in GHC.Generics Associated Types type Rep Bool :: Type -> Type # Methods from :: Bool -> Rep Bool x # to :: Rep Bool x -> Bool #
Generic Ordering
Instance details Defined in GHC.Generics Associated Types type Rep Ordering :: Type -> Type # Methods from :: Ordering -> Rep Ordering x # to :: Rep Ordering x -> Ordering #
Generic Exp
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep Exp :: Type -> Type # Methods from :: Exp -> Rep Exp x # to :: Rep Exp x -> Exp #
Generic Match
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep Match :: Type -> Type # Methods from :: Match -> Rep Match x # to :: Rep Match x -> Match #
Generic Clause
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep Clause :: Type -> Type # Methods from :: Clause -> Rep Clause x # to :: Rep Clause x -> Clause #
Generic Pat
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep Pat :: Type -> Type # Methods from :: Pat -> Rep Pat x # to :: Rep Pat x -> Pat #
Generic Type
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep Type :: Type -> Type # Methods from :: Type -> Rep Type x # to :: Rep Type x -> Type #
Generic Dec
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep Dec :: Type -> Type # Methods from :: Dec -> Rep Dec x # to :: Rep Dec x -> Dec #
Generic Name
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep Name :: Type -> Type # Methods from :: Name -> Rep Name x # to :: Rep Name x -> Name #
Generic FunDep
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep FunDep :: Type -> Type # Methods from :: FunDep -> Rep FunDep x # to :: Rep FunDep x -> FunDep #
Generic InjectivityAnn
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep InjectivityAnn :: Type -> Type # Methods from :: InjectivityAnn -> Rep InjectivityAnn x # to :: Rep InjectivityAnn x -> InjectivityAnn #
Generic Overlap
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep Overlap :: Type -> Type # Methods from :: Overlap -> Rep Overlap x # to :: Rep Overlap x -> Overlap #
Generic ()
Instance details Defined in GHC.Generics Associated Types type Rep () :: Type -> Type # Methods from :: () -> Rep () x # to :: Rep () x -> () #
Generic Con
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep Con :: Type -> Type # Methods from :: Con -> Rep Con x # to :: Rep Con x -> Con #
Generic Value
Instance details Defined in Data.Aeson.Types.Internal Associated Types type Rep Value :: Type -> Type # Methods from :: Value -> Rep Value x # to :: Rep Value x -> Value #
Generic Void
Instance details Defined in Data.Void Associated Types type Rep Void :: Type -> Type # Methods from :: Void -> Rep Void x # to :: Rep Void x -> Void #
Generic ExitCode
Instance details Defined in GHC.IO.Exception Associated Types type Rep ExitCode :: Type -> Type # Methods from :: ExitCode -> Rep ExitCode x # to :: Rep ExitCode x -> ExitCode #
Generic All
Instance details Defined in Data.Semigroup.Internal Associated Types type Rep All :: Type -> Type # Methods from :: All -> Rep All x # to :: Rep All x -> All #
Generic Any
Instance details Defined in Data.Semigroup.Internal Associated Types type Rep Any :: Type -> Type # Methods from :: Any -> Rep Any x # to :: Rep Any x -> Any #
Generic Fixity
Instance details Defined in GHC.Generics Associated Types type Rep Fixity :: Type -> Type # Methods from :: Fixity -> Rep Fixity x # to :: Rep Fixity x -> Fixity #
Generic Associativity
Instance details Defined in GHC.Generics Associated Types type Rep Associativity :: Type -> Type # Methods from :: Associativity -> Rep Associativity x # to :: Rep Associativity x -> Associativity #
Generic SourceUnpackedness
Instance details Defined in GHC.Generics Associated Types type Rep SourceUnpackedness :: Type -> Type # Methods from :: SourceUnpackedness -> Rep SourceUnpackedness x # to :: Rep SourceUnpackedness x -> SourceUnpackedness #
Generic SourceStrictness
Instance details Defined in GHC.Generics Associated Types type Rep SourceStrictness :: Type -> Type # Methods from :: SourceStrictness -> Rep SourceStrictness x # to :: Rep SourceStrictness x -> SourceStrictness #
Generic DecidedStrictness
Instance details Defined in GHC.Generics Associated Types type Rep DecidedStrictness :: Type -> Type # Methods from :: DecidedStrictness -> Rep DecidedStrictness x # to :: Rep DecidedStrictness x -> DecidedStrictness #
Generic Extension
Instance details Defined in GHC.LanguageExtensions.Type Associated Types type Rep Extension :: Type -> Type # Methods from :: Extension -> Rep Extension x # to :: Rep Extension x -> Extension #
Generic ForeignSrcLang
Instance details Defined in GHC.ForeignSrcLang.Type Associated Types type Rep ForeignSrcLang :: Type -> Type # Methods from :: ForeignSrcLang -> Rep ForeignSrcLang x # to :: Rep ForeignSrcLang x -> ForeignSrcLang #
Generic TyVarBndr
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep TyVarBndr :: Type -> Type # Methods from :: TyVarBndr -> Rep TyVarBndr x # to :: Rep TyVarBndr x -> TyVarBndr #
Generic Doc
Instance details Defined in Text.PrettyPrint.HughesPJ Associated Types type Rep Doc :: Type -> Type # Methods from :: Doc -> Rep Doc x # to :: Rep Doc x -> Doc #
Generic TextDetails
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Associated Types type Rep TextDetails :: Type -> Type # Methods from :: TextDetails -> Rep TextDetails x # to :: Rep TextDetails x -> TextDetails #
Generic Style
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Associated Types type Rep Style :: Type -> Type # Methods from :: Style -> Rep Style x # to :: Rep Style x -> Style #
Generic Mode
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Associated Types type Rep Mode :: Type -> Type # Methods from :: Mode -> Rep Mode x # to :: Rep Mode x -> Mode #
Generic ModName
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep ModName :: Type -> Type # Methods from :: ModName -> Rep ModName x # to :: Rep ModName x -> ModName #
Generic PkgName
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep PkgName :: Type -> Type # Methods from :: PkgName -> Rep PkgName x # to :: Rep PkgName x -> PkgName #
Generic Module
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep Module :: Type -> Type # Methods from :: Module -> Rep Module x # to :: Rep Module x -> Module #
Generic OccName
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep OccName :: Type -> Type # Methods from :: OccName -> Rep OccName x # to :: Rep OccName x -> OccName #
Generic NameFlavour
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep NameFlavour :: Type -> Type # Methods from :: NameFlavour -> Rep NameFlavour x # to :: Rep NameFlavour x -> NameFlavour #
Generic NameSpace
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep NameSpace :: Type -> Type # Methods from :: NameSpace -> Rep NameSpace x # to :: Rep NameSpace x -> NameSpace #
Generic Loc
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep Loc :: Type -> Type # Methods from :: Loc -> Rep Loc x # to :: Rep Loc x -> Loc #
Generic Info
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep Info :: Type -> Type # Methods from :: Info -> Rep Info x # to :: Rep Info x -> Info #
Generic ModuleInfo
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep ModuleInfo :: Type -> Type # Methods from :: ModuleInfo -> Rep ModuleInfo x # to :: Rep ModuleInfo x -> ModuleInfo #
Generic Fixity
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep Fixity :: Type -> Type # Methods from :: Fixity -> Rep Fixity x # to :: Rep Fixity x -> Fixity #
Generic FixityDirection
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep FixityDirection :: Type -> Type # Methods from :: FixityDirection -> Rep FixityDirection x # to :: Rep FixityDirection x -> FixityDirection #
Generic Lit
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep Lit :: Type -> Type # Methods from :: Lit -> Rep Lit x # to :: Rep Lit x -> Lit #
Generic Body
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep Body :: Type -> Type # Methods from :: Body -> Rep Body x # to :: Rep Body x -> Body #
Generic Guard
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep Guard :: Type -> Type # Methods from :: Guard -> Rep Guard x # to :: Rep Guard x -> Guard #
Generic Stmt
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep Stmt :: Type -> Type # Methods from :: Stmt -> Rep Stmt x # to :: Rep Stmt x -> Stmt #
Generic Range
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep Range :: Type -> Type # Methods from :: Range -> Rep Range x # to :: Rep Range x -> Range #
Generic DerivClause
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep DerivClause :: Type -> Type # Methods from :: DerivClause -> Rep DerivClause x # to :: Rep DerivClause x -> DerivClause #
Generic DerivStrategy
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep DerivStrategy :: Type -> Type # Methods from :: DerivStrategy -> Rep DerivStrategy x # to :: Rep DerivStrategy x -> DerivStrategy #
Generic TypeFamilyHead
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep TypeFamilyHead :: Type -> Type # Methods from :: TypeFamilyHead -> Rep TypeFamilyHead x # to :: Rep TypeFamilyHead x -> TypeFamilyHead #
Generic TySynEqn
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep TySynEqn :: Type -> Type # Methods from :: TySynEqn -> Rep TySynEqn x # to :: Rep TySynEqn x -> TySynEqn #
Generic Foreign
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep Foreign :: Type -> Type # Methods from :: Foreign -> Rep Foreign x # to :: Rep Foreign x -> Foreign #
Generic Callconv
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep Callconv :: Type -> Type # Methods from :: Callconv -> Rep Callconv x # to :: Rep Callconv x -> Callconv #
Generic Safety
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep Safety :: Type -> Type # Methods from :: Safety -> Rep Safety x # to :: Rep Safety x -> Safety #
Generic Pragma
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep Pragma :: Type -> Type # Methods from :: Pragma -> Rep Pragma x # to :: Rep Pragma x -> Pragma #
Generic Inline
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep Inline :: Type -> Type # Methods from :: Inline -> Rep Inline x # to :: Rep Inline x -> Inline #
Generic RuleMatch
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep RuleMatch :: Type -> Type # Methods from :: RuleMatch -> Rep RuleMatch x # to :: Rep RuleMatch x -> RuleMatch #
Generic Phases
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep Phases :: Type -> Type # Methods from :: Phases -> Rep Phases x # to :: Rep Phases x -> Phases #
Generic RuleBndr
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep RuleBndr :: Type -> Type # Methods from :: RuleBndr -> Rep RuleBndr x # to :: Rep RuleBndr x -> RuleBndr #
Generic AnnTarget
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep AnnTarget :: Type -> Type # Methods from :: AnnTarget -> Rep AnnTarget x # to :: Rep AnnTarget x -> AnnTarget #
Generic SourceUnpackedness
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep SourceUnpackedness :: Type -> Type # Methods from :: SourceUnpackedness -> Rep SourceUnpackedness x # to :: Rep SourceUnpackedness x -> SourceUnpackedness #
Generic SourceStrictness
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep SourceStrictness :: Type -> Type # Methods from :: SourceStrictness -> Rep SourceStrictness x # to :: Rep SourceStrictness x -> SourceStrictness #
Generic DecidedStrictness
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep DecidedStrictness :: Type -> Type # Methods from :: DecidedStrictness -> Rep DecidedStrictness x # to :: Rep DecidedStrictness x -> DecidedStrictness #
Generic Bang
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep Bang :: Type -> Type # Methods from :: Bang -> Rep Bang x # to :: Rep Bang x -> Bang #
Generic PatSynDir
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep PatSynDir :: Type -> Type # Methods from :: PatSynDir -> Rep PatSynDir x # to :: Rep PatSynDir x -> PatSynDir #
Generic PatSynArgs
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep PatSynArgs :: Type -> Type # Methods from :: PatSynArgs -> Rep PatSynArgs x # to :: Rep PatSynArgs x -> PatSynArgs #
Generic FamilyResultSig
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep FamilyResultSig :: Type -> Type # Methods from :: FamilyResultSig -> Rep FamilyResultSig x # to :: Rep FamilyResultSig x -> FamilyResultSig #
Generic TyLit
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep TyLit :: Type -> Type # Methods from :: TyLit -> Rep TyLit x # to :: Rep TyLit x -> TyLit #
Generic Role
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep Role :: Type -> Type # Methods from :: Role -> Rep Role x # to :: Rep Role x -> Role #
Generic AnnLookup
Instance details Defined in Language.Haskell.TH.Syntax Associated Types type Rep AnnLookup :: Type -> Type # Methods from :: AnnLookup -> Rep AnnLookup x # to :: Rep AnnLookup x -> AnnLookup #
Generic DatatypeInfo
Instance details Defined in Language.Haskell.TH.Datatype Associated Types type Rep DatatypeInfo :: Type -> Type # Methods from :: DatatypeInfo -> Rep DatatypeInfo x # to :: Rep DatatypeInfo x -> DatatypeInfo #
Generic DatatypeVariant
Instance details Defined in Language.Haskell.TH.Datatype Associated Types type Rep DatatypeVariant :: Type -> Type # Methods from :: DatatypeVariant -> Rep DatatypeVariant x # to :: Rep DatatypeVariant x -> DatatypeVariant #
Generic ConstructorInfo
Instance details Defined in Language.Haskell.TH.Datatype Associated Types type Rep ConstructorInfo :: Type -> Type # Methods from :: ConstructorInfo -> Rep ConstructorInfo x # to :: Rep ConstructorInfo x -> ConstructorInfo #
Generic ConstructorVariant
Instance details Defined in Language.Haskell.TH.Datatype Associated Types type Rep ConstructorVariant :: Type -> Type # Methods from :: ConstructorVariant -> Rep ConstructorVariant x # to :: Rep ConstructorVariant x -> ConstructorVariant #
Generic FieldStrictness
Instance details Defined in Language.Haskell.TH.Datatype Associated Types type Rep FieldStrictness :: Type -> Type # Methods from :: FieldStrictness -> Rep FieldStrictness x # to :: Rep FieldStrictness x -> FieldStrictness #
Generic Unpackedness
Instance details Defined in Language.Haskell.TH.Datatype Associated Types type Rep Unpackedness :: Type -> Type # Methods from :: Unpackedness -> Rep Unpackedness x # to :: Rep Unpackedness x -> Unpackedness #
Generic Strictness
Instance details Defined in Language.Haskell.TH.Datatype Associated Types type Rep Strictness :: Type -> Type # Methods from :: Strictness -> Rep Strictness x # to :: Rep Strictness x -> Strictness #
Generic [a]
Instance details Defined in GHC.Generics Associated Types type Rep [a] :: Type -> Type # Methods from :: [a] -> Rep [a] x # to :: Rep [a] x -> [a] #
Generic (Maybe a)
Instance details Defined in GHC.Generics Associated Types type Rep (Maybe a) :: Type -> Type # Methods from :: Maybe a -> Rep (Maybe a) x # to :: Rep (Maybe a) x -> Maybe a #
Generic (Par1 p)
Instance details Defined in GHC.Generics Associated Types type Rep (Par1 p) :: Type -> Type # Methods from :: Par1 p -> Rep (Par1 p) x # to :: Rep (Par1 p) x -> Par1 p #
Generic (Complex a)
Instance details Defined in Data.Complex Associated Types type Rep (Complex a) :: Type -> Type # Methods from :: Complex a -> Rep (Complex a) x # to :: Rep (Complex a) x -> Complex a #
Generic (Min a)
Instance details Defined in Data.Semigroup Associated Types type Rep (Min a) :: Type -> Type # Methods from :: Min a -> Rep (Min a) x # to :: Rep (Min a) x -> Min a #
Generic (Max a)
Instance details Defined in Data.Semigroup Associated Types type Rep (Max a) :: Type -> Type # Methods from :: Max a -> Rep (Max a) x # to :: Rep (Max a) x -> Max a #
Generic (First a)
Instance details Defined in Data.Semigroup Associated Types type Rep (First a) :: Type -> Type # Methods from :: First a -> Rep (First a) x # to :: Rep (First a) x -> First a #
Generic (Last a)
Instance details Defined in Data.Semigroup Associated Types type Rep (Last a) :: Type -> Type # Methods from :: Last a -> Rep (Last a) x # to :: Rep (Last a) x -> Last a #
Generic (WrappedMonoid m)
Instance details Defined in Data.Semigroup Associated Types type Rep (WrappedMonoid m) :: Type -> Type # Methods from :: WrappedMonoid m -> Rep (WrappedMonoid m) x # to :: Rep (WrappedMonoid m) x -> WrappedMonoid m #
Generic (Option a)
Instance details Defined in Data.Semigroup Associated Types type Rep (Option a) :: Type -> Type # Methods from :: Option a -> Rep (Option a) x # to :: Rep (Option a) x -> Option a #
Generic (ZipList a)
Instance details Defined in Control.Applicative Associated Types type Rep (ZipList a) :: Type -> Type # Methods from :: ZipList a -> Rep (ZipList a) x # to :: Rep (ZipList a) x -> ZipList a #
Generic (Identity a)
Instance details Defined in Data.Functor.Identity Associated Types type Rep (Identity a) :: Type -> Type # Methods from :: Identity a -> Rep (Identity a) x # to :: Rep (Identity a) x -> Identity a #
Generic (First a)
Instance details Defined in Data.Monoid Associated Types type Rep (First a) :: Type -> Type # Methods from :: First a -> Rep (First a) x # to :: Rep (First a) x -> First a #
Generic (Last a)
Instance details Defined in Data.Monoid Associated Types type Rep (Last a) :: Type -> Type # Methods from :: Last a -> Rep (Last a) x # to :: Rep (Last a) x -> Last a #
Generic (Dual a)
Instance details Defined in Data.Semigroup.Internal Associated Types type Rep (Dual a) :: Type -> Type # Methods from :: Dual a -> Rep (Dual a) x # to :: Rep (Dual a) x -> Dual a #
Generic (Endo a)
Instance details Defined in Data.Semigroup.Internal Associated Types type Rep (Endo a) :: Type -> Type # Methods from :: Endo a -> Rep (Endo a) x # to :: Rep (Endo a) x -> Endo a #
Generic (Sum a)
Instance details Defined in Data.Semigroup.Internal Associated Types type Rep (Sum a) :: Type -> Type # Methods from :: Sum a -> Rep (Sum a) x # to :: Rep (Sum a) x -> Sum a #
Generic (Product a)
Instance details Defined in Data.Semigroup.Internal Associated Types type Rep (Product a) :: Type -> Type # Methods from :: Product a -> Rep (Product a) x # to :: Rep (Product a) x -> Product a #
Generic (Down a)
Instance details Defined in GHC.Generics Associated Types type Rep (Down a) :: Type -> Type # Methods from :: Down a -> Rep (Down a) x # to :: Rep (Down a) x -> Down a #
Generic (NonEmpty a)
Instance details Defined in GHC.Generics Associated Types type Rep (NonEmpty a) :: Type -> Type # Methods from :: NonEmpty a -> Rep (NonEmpty a) x # to :: Rep (NonEmpty a) x -> NonEmpty a #
Generic (Tree a)
Instance details Defined in Data.Tree Associated Types type Rep (Tree a) :: Type -> Type # Methods from :: Tree a -> Rep (Tree a) x # to :: Rep (Tree a) x -> Tree a #
Generic (FingerTree a)
Instance details Defined in Data.Sequence.Internal Associated Types type Rep (FingerTree a) :: Type -> Type # Methods from :: FingerTree a -> Rep (FingerTree a) x # to :: Rep (FingerTree a) x -> FingerTree a #
Generic (Digit a)
Instance details Defined in Data.Sequence.Internal Associated Types type Rep (Digit a) :: Type -> Type # Methods from :: Digit a -> Rep (Digit a) x # to :: Rep (Digit a) x -> Digit a #
Generic (Node a)
Instance details Defined in Data.Sequence.Internal Associated Types type Rep (Node a) :: Type -> Type # Methods from :: Node a -> Rep (Node a) x # to :: Rep (Node a) x -> Node a #
Generic (Elem a)
Instance details Defined in Data.Sequence.Internal Associated Types type Rep (Elem a) :: Type -> Type # Methods from :: Elem a -> Rep (Elem a) x # to :: Rep (Elem a) x -> Elem a #
Generic (ViewL a)
Instance details Defined in Data.Sequence.Internal Associated Types type Rep (ViewL a) :: Type -> Type # Methods from :: ViewL a -> Rep (ViewL a) x # to :: Rep (ViewL a) x -> ViewL a #
Generic (ViewR a)
Instance details Defined in Data.Sequence.Internal Associated Types type Rep (ViewR a) :: Type -> Type # Methods from :: ViewR a -> Rep (ViewR a) x # to :: Rep (ViewR a) x -> ViewR a #
Generic (Doc a)
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Associated Types type Rep (Doc a) :: Type -> Type # Methods from :: Doc a -> Rep (Doc a) x # to :: Rep (Doc a) x -> Doc a #
Generic (Either a b)
Instance details Defined in GHC.Generics Associated Types type Rep (Either a b) :: Type -> Type # Methods from :: Either a b -> Rep (Either a b) x # to :: Rep (Either a b) x -> Either a b #
Generic (V1 p)
Instance details Defined in GHC.Generics Associated Types type Rep (V1 p) :: Type -> Type # Methods from :: V1 p -> Rep (V1 p) x # to :: Rep (V1 p) x -> V1 p #
Generic (U1 p)
Instance details Defined in GHC.Generics Associated Types type Rep (U1 p) :: Type -> Type # Methods from :: U1 p -> Rep (U1 p) x # to :: Rep (U1 p) x -> U1 p #
Generic (a, b)
Instance details Defined in GHC.Generics Associated Types type Rep (a, b) :: Type -> Type # Methods from :: (a, b) -> Rep (a, b) x # to :: Rep (a, b) x -> (a, b) #
Generic (Arg a b)
Instance details Defined in Data.Semigroup Associated Types type Rep (Arg a b) :: Type -> Type # Methods from :: Arg a b -> Rep (Arg a b) x # to :: Rep (Arg a b) x -> Arg a b #
Generic (WrappedMonad m a)
Instance details Defined in Control.Applicative Associated Types type Rep (WrappedMonad m a) :: Type -> Type # Methods from :: WrappedMonad m a -> Rep (WrappedMonad m a) x # to :: Rep (WrappedMonad m a) x -> WrappedMonad m a #
Generic (Proxy t)
Instance details Defined in GHC.Generics Associated Types type Rep (Proxy t) :: Type -> Type # Methods from :: Proxy t -> Rep (Proxy t) x # to :: Rep (Proxy t) x -> Proxy t #
Generic (Cofree f a)
Instance details Defined in Control.Comonad.Cofree Associated Types type Rep (Cofree f a) :: Type -> Type # Methods from :: Cofree f a -> Rep (Cofree f a) x # to :: Rep (Cofree f a) x -> Cofree f a #
Generic (Free f a)
Instance details Defined in Control.Monad.Free Associated Types type Rep (Free f a) :: Type -> Type # Methods from :: Free f a -> Rep (Free f a) x # to :: Rep (Free f a) x -> Free f a #
Generic (Rec1 f p)
Instance details Defined in GHC.Generics Associated Types type Rep (Rec1 f p) :: Type -> Type # Methods from :: Rec1 f p -> Rep (Rec1 f p) x # to :: Rep (Rec1 f p) x -> Rec1 f p #
Generic (URec (Ptr ()) p)
Instance details Defined in GHC.Generics Associated Types type Rep (URec (Ptr ()) p) :: Type -> Type # Methods from :: URec (Ptr ()) p -> Rep (URec (Ptr ()) p) x # to :: Rep (URec (Ptr ()) p) x -> URec (Ptr ()) p #
Generic (URec Char p)
Instance details Defined in GHC.Generics Associated Types type Rep (URec Char p) :: Type -> Type # Methods from :: URec Char p -> Rep (URec Char p) x # to :: Rep (URec Char p) x -> URec Char p #
Generic (URec Double p)
Instance details Defined in GHC.Generics Associated Types type Rep (URec Double p) :: Type -> Type # Methods from :: URec Double p -> Rep (URec Double p) x # to :: Rep (URec Double p) x -> URec Double p #
Generic (URec Float p)
Instance details Defined in GHC.Generics Associated Types type Rep (URec Float p) :: Type -> Type # Methods from :: URec Float p -> Rep (URec Float p) x # to :: Rep (URec Float p) x -> URec Float p #
Generic (URec Int p)
Instance details Defined in GHC.Generics Associated Types type Rep (URec Int p) :: Type -> Type # Methods from :: URec Int p -> Rep (URec Int p) x # to :: Rep (URec Int p) x -> URec Int p #
Generic (URec Word p)
Instance details Defined in GHC.Generics Associated Types type Rep (URec Word p) :: Type -> Type # Methods from :: URec Word p -> Rep (URec Word p) x # to :: Rep (URec Word p) x -> URec Word p #
Generic (a, b, c)
Instance details Defined in GHC.Generics Associated Types type Rep (a, b, c) :: Type -> Type # Methods from :: (a, b, c) -> Rep (a, b, c) x # to :: Rep (a, b, c) x -> (a, b, c) #
Generic (WrappedArrow a b c)
Instance details Defined in Control.Applicative Associated Types type Rep (WrappedArrow a b c) :: Type -> Type # Methods from :: WrappedArrow a b c -> Rep (WrappedArrow a b c) x # to :: Rep (WrappedArrow a b c) x -> WrappedArrow a b c #
Generic (Const a b)
Instance details Defined in Data.Functor.Const Associated Types type Rep (Const a b) :: Type -> Type # Methods from :: Const a b -> Rep (Const a b) x # to :: Rep (Const a b) x -> Const a b #
Generic (Ap f a)
Instance details Defined in Data.Monoid Associated Types type Rep (Ap f a) :: Type -> Type # Methods from :: Ap f a -> Rep (Ap f a) x # to :: Rep (Ap f a) x -> Ap f a #
Generic (Alt f a)
Instance details Defined in Data.Semigroup.Internal Associated Types type Rep (Alt f a) :: Type -> Type # Methods from :: Alt f a -> Rep (Alt f a) x # to :: Rep (Alt f a) x -> Alt f a #
Generic (Join p a)
Instance details Defined in Data.Bifunctor.Join Associated Types type Rep (Join p a) :: Type -> Type # Methods from :: Join p a -> Rep (Join p a) x # to :: Rep (Join p a) x -> Join p a #
Generic (Fix p a)
Instance details Defined in Data.Bifunctor.Fix Associated Types type Rep (Fix p a) :: Type -> Type # Methods from :: Fix p a -> Rep (Fix p a) x # to :: Rep (Fix p a) x -> Fix p a #
Generic (FreeF f a b)
Instance details Defined in Control.Monad.Trans.Free Associated Types type Rep (FreeF f a b) :: Type -> Type # Methods from :: FreeF f a b -> Rep (FreeF f a b) x # to :: Rep (FreeF f a b) x -> FreeF f a b #
Generic (CofreeF f a b)
Instance details Defined in Control.Comonad.Trans.Cofree Associated Types type Rep (CofreeF f a b) :: Type -> Type # Methods from :: CofreeF f a b -> Rep (CofreeF f a b) x # to :: Rep (CofreeF f a b) x -> CofreeF f a b #
Generic (Tagged s b)
Instance details Defined in Data.Tagged Associated Types type Rep (Tagged s b) :: Type -> Type # Methods from :: Tagged s b -> Rep (Tagged s b) x # to :: Rep (Tagged s b) x -> Tagged s b #
Generic (K1 i c p)
Instance details Defined in GHC.Generics Associated Types type Rep (K1 i c p) :: Type -> Type # Methods from :: K1 i c p -> Rep (K1 i c p) x # to :: Rep (K1 i c p) x -> K1 i c p #
Generic ((f :+: g) p)
Instance details Defined in GHC.Generics Associated Types type Rep ((f :+: g) p) :: Type -> Type # Methods from :: (f :+: g) p -> Rep ((f :+: g) p) x # to :: Rep ((f :+: g) p) x -> (f :+: g) p #
Generic ((f :*: g) p)
Instance details Defined in GHC.Generics Associated Types type Rep ((f :: g) p) :: Type -> Type # Methods from :: (f :: g) p -> Rep ((f :: g) p) x # to :: Rep ((f :: g) p) x -> (f :*: g) p #
Generic (a, b, c, d)
Instance details Defined in GHC.Generics Associated Types type Rep (a, b, c, d) :: Type -> Type # Methods from :: (a, b, c, d) -> Rep (a, b, c, d) x # to :: Rep (a, b, c, d) x -> (a, b, c, d) #
Generic (M1 i c f p)
Instance details Defined in GHC.Generics Associated Types type Rep (M1 i c f p) :: Type -> Type # Methods from :: M1 i c f p -> Rep (M1 i c f p) x # to :: Rep (M1 i c f p) x -> M1 i c f p #
Generic ((f :.: g) p)
Instance details Defined in GHC.Generics Associated Types type Rep ((f :.: g) p) :: Type -> Type # Methods from :: (f :.: g) p -> Rep ((f :.: g) p) x # to :: Rep ((f :.: g) p) x -> (f :.: g) p #
Generic (a, b, c, d, e)
Instance details Defined in GHC.Generics Associated Types type Rep (a, b, c, d, e) :: Type -> Type # Methods from :: (a, b, c, d, e) -> Rep (a, b, c, d, e) x # to :: Rep (a, b, c, d, e) x -> (a, b, c, d, e) #
Generic (WrappedBifunctor p a b)
Instance details Defined in Data.Bifunctor.Wrapped Associated Types type Rep (WrappedBifunctor p a b) :: Type -> Type # Methods from :: WrappedBifunctor p a b -> Rep (WrappedBifunctor p a b) x # to :: Rep (WrappedBifunctor p a b) x -> WrappedBifunctor p a b #
Generic (Joker g a b)
Instance details Defined in Data.Bifunctor.Joker Associated Types type Rep (Joker g a b) :: Type -> Type # Methods from :: Joker g a b -> Rep (Joker g a b) x # to :: Rep (Joker g a b) x -> Joker g a b #
Generic (Flip p a b)
Instance details Defined in Data.Bifunctor.Flip Associated Types type Rep (Flip p a b) :: Type -> Type # Methods from :: Flip p a b -> Rep (Flip p a b) x # to :: Rep (Flip p a b) x -> Flip p a b #
Generic (Clown f a b)
Instance details Defined in Data.Bifunctor.Clown Associated Types type Rep (Clown f a b) :: Type -> Type # Methods from :: Clown f a b -> Rep (Clown f a b) x # to :: Rep (Clown f a b) x -> Clown f a b #
Generic (a, b, c, d, e, f)
Instance details Defined in GHC.Generics Associated Types type Rep (a, b, c, d, e, f) :: Type -> Type # Methods from :: (a, b, c, d, e, f) -> Rep (a, b, c, d, e, f) x # to :: Rep (a, b, c, d, e, f) x -> (a, b, c, d, e, f) #
Generic (Sum p q a b)
Instance details Defined in Data.Bifunctor.Sum Associated Types type Rep (Sum p q a b) :: Type -> Type # Methods from :: Sum p q a b -> Rep (Sum p q a b) x # to :: Rep (Sum p q a b) x -> Sum p q a b #
Generic (Product f g a b)
Instance details Defined in Data.Bifunctor.Product Associated Types type Rep (Product f g a b) :: Type -> Type # Methods from :: Product f g a b -> Rep (Product f g a b) x # to :: Rep (Product f g a b) x -> Product f g a b #
Generic (a, b, c, d, e, f, g)
Instance details Defined in GHC.Generics Associated Types type Rep (a, b, c, d, e, f, g) :: Type -> Type # Methods from :: (a, b, c, d, e, f, g) -> Rep (a, b, c, d, e, f, g) x # to :: Rep (a, b, c, d, e, f, g) x -> (a, b, c, d, e, f, g) #
Generic (Tannen f p a b)
Instance details Defined in Data.Bifunctor.Tannen Associated Types type Rep (Tannen f p a b) :: Type -> Type # Methods from :: Tannen f p a b -> Rep (Tannen f p a b) x # to :: Rep (Tannen f p a b) x -> Tannen f p a b #
Generic (Biff p f g a b)
Instance details Defined in Data.Bifunctor.Biff Associated Types type Rep (Biff p f g a b) :: Type -> Type # Methods from :: Biff p f g a b -> Rep (Biff p f g a b) x # to :: Rep (Biff p f g a b) x -> Biff p f g a b #

class Generic1 (f :: k -> Type) #

Representable types of kind * -> * (or kind k -> *, when PolyKinds is enabled). This class is derivable in GHC with the DeriveGeneric flag on.

A Generic1 instance must satisfy the following laws:

from1 . to1 ≡ id
to1 . from1 ≡ id

Minimal complete definition

from1, to1

Instances

Generic1 (V1 :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 V1 :: k -> Type # Methods from1 :: V1 a -> Rep1 V1 a # to1 :: Rep1 V1 a -> V1 a #
Generic1 (U1 :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 U1 :: k -> Type # Methods from1 :: U1 a -> Rep1 U1 a # to1 :: Rep1 U1 a -> U1 a #
Generic1 (Proxy :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 Proxy :: k -> Type # Methods from1 :: Proxy a -> Rep1 Proxy a # to1 :: Rep1 Proxy a -> Proxy a #
Generic1 (Ap f :: k -> Type)
Instance details Defined in Data.Monoid Associated Types type Rep1 (Ap f) :: k -> Type # Methods from1 :: Ap f a -> Rep1 (Ap f) a # to1 :: Rep1 (Ap f) a -> Ap f a #
Generic1 (Alt f :: k -> Type)
Instance details Defined in Data.Semigroup.Internal Associated Types type Rep1 (Alt f) :: k -> Type # Methods from1 :: Alt f a -> Rep1 (Alt f) a # to1 :: Rep1 (Alt f) a -> Alt f a #
Generic1 (Const a :: k -> Type)
Instance details Defined in Data.Functor.Const Associated Types type Rep1 (Const a) :: k -> Type # Methods from1 :: Const a a0 -> Rep1 (Const a) a0 # to1 :: Rep1 (Const a) a0 -> Const a a0 #
Generic1 (URec (Ptr ()) :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (URec (Ptr ())) :: k -> Type # Methods from1 :: URec (Ptr ()) a -> Rep1 (URec (Ptr ())) a # to1 :: Rep1 (URec (Ptr ())) a -> URec (Ptr ()) a #
Generic1 (URec Char :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (URec Char) :: k -> Type # Methods from1 :: URec Char a -> Rep1 (URec Char) a # to1 :: Rep1 (URec Char) a -> URec Char a #
Generic1 (URec Double :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (URec Double) :: k -> Type # Methods from1 :: URec Double a -> Rep1 (URec Double) a # to1 :: Rep1 (URec Double) a -> URec Double a #
Generic1 (URec Float :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (URec Float) :: k -> Type # Methods from1 :: URec Float a -> Rep1 (URec Float) a # to1 :: Rep1 (URec Float) a -> URec Float a #
Generic1 (URec Int :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (URec Int) :: k -> Type # Methods from1 :: URec Int a -> Rep1 (URec Int) a # to1 :: Rep1 (URec Int) a -> URec Int a #
Generic1 (URec Word :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (URec Word) :: k -> Type # Methods from1 :: URec Word a -> Rep1 (URec Word) a # to1 :: Rep1 (URec Word) a -> URec Word a #
Generic1 (Rec1 f :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (Rec1 f) :: k -> Type # Methods from1 :: Rec1 f a -> Rep1 (Rec1 f) a # to1 :: Rep1 (Rec1 f) a -> Rec1 f a #
Generic1 (K1 i c :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (K1 i c) :: k -> Type # Methods from1 :: K1 i c a -> Rep1 (K1 i c) a # to1 :: Rep1 (K1 i c) a -> K1 i c a #
Generic1 (f :+: g :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (f :+: g) :: k -> Type # Methods from1 :: (f :+: g) a -> Rep1 (f :+: g) a # to1 :: Rep1 (f :+: g) a -> (f :+: g) a #
Generic1 (f :*: g :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (f :: g) :: k -> Type # Methods from1 :: (f :: g) a -> Rep1 (f :: g) a # to1 :: Rep1 (f :: g) a -> (f :*: g) a #
Generic1 (WrappedBifunctor p a :: k1 -> Type)
Instance details Defined in Data.Bifunctor.Wrapped Associated Types type Rep1 (WrappedBifunctor p a) :: k -> Type # Methods from1 :: WrappedBifunctor p a a0 -> Rep1 (WrappedBifunctor p a) a0 # to1 :: Rep1 (WrappedBifunctor p a) a0 -> WrappedBifunctor p a a0 #
Generic1 (Joker g a :: k1 -> Type)
Instance details Defined in Data.Bifunctor.Joker Associated Types type Rep1 (Joker g a) :: k -> Type # Methods from1 :: Joker g a a0 -> Rep1 (Joker g a) a0 # to1 :: Rep1 (Joker g a) a0 -> Joker g a a0 #
Generic1 (Clown f a :: k1 -> Type)
Instance details Defined in Data.Bifunctor.Clown Associated Types type Rep1 (Clown f a) :: k -> Type # Methods from1 :: Clown f a a0 -> Rep1 (Clown f a) a0 # to1 :: Rep1 (Clown f a) a0 -> Clown f a a0 #
Generic1 (M1 i c f :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (M1 i c f) :: k -> Type # Methods from1 :: M1 i c f a -> Rep1 (M1 i c f) a # to1 :: Rep1 (M1 i c f) a -> M1 i c f a #
Functor f => Generic1 (f :.: g :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (f :.: g) :: k -> Type # Methods from1 :: (f :.: g) a -> Rep1 (f :.: g) a # to1 :: Rep1 (f :.: g) a -> (f :.: g) a #
Generic1 (Sum p q a :: k1 -> Type)
Instance details Defined in Data.Bifunctor.Sum Associated Types type Rep1 (Sum p q a) :: k -> Type # Methods from1 :: Sum p q a a0 -> Rep1 (Sum p q a) a0 # to1 :: Rep1 (Sum p q a) a0 -> Sum p q a a0 #
Generic1 (Product f g a :: k1 -> Type)
Instance details Defined in Data.Bifunctor.Product Associated Types type Rep1 (Product f g a) :: k -> Type # Methods from1 :: Product f g a a0 -> Rep1 (Product f g a) a0 # to1 :: Rep1 (Product f g a) a0 -> Product f g a a0 #
Functor f => Generic1 (Tannen f p a :: k2 -> Type)
Instance details Defined in Data.Bifunctor.Tannen Associated Types type Rep1 (Tannen f p a) :: k -> Type # Methods from1 :: Tannen f p a a0 -> Rep1 (Tannen f p a) a0 # to1 :: Rep1 (Tannen f p a) a0 -> Tannen f p a a0 #
Functor (p (f a)) => Generic1 (Biff p f g a :: k1 -> Type)
Instance details Defined in Data.Bifunctor.Biff Associated Types type Rep1 (Biff p f g a) :: k -> Type # Methods from1 :: Biff p f g a a0 -> Rep1 (Biff p f g a) a0 # to1 :: Rep1 (Biff p f g a) a0 -> Biff p f g a a0 #
Generic1 []
Instance details Defined in GHC.Generics Associated Types type Rep1 [] :: k -> Type # Methods from1 :: [a] -> Rep1 [] a # to1 :: Rep1 [] a -> [a] #
Generic1 Maybe
Instance details Defined in GHC.Generics Associated Types type Rep1 Maybe :: k -> Type # Methods from1 :: Maybe a -> Rep1 Maybe a # to1 :: Rep1 Maybe a -> Maybe a #
Generic1 Par1
Instance details Defined in GHC.Generics Associated Types type Rep1 Par1 :: k -> Type # Methods from1 :: Par1 a -> Rep1 Par1 a # to1 :: Rep1 Par1 a -> Par1 a #
Generic1 Complex
Instance details Defined in Data.Complex Associated Types type Rep1 Complex :: k -> Type # Methods from1 :: Complex a -> Rep1 Complex a # to1 :: Rep1 Complex a -> Complex a #
Generic1 Min
Instance details Defined in Data.Semigroup Associated Types type Rep1 Min :: k -> Type # Methods from1 :: Min a -> Rep1 Min a # to1 :: Rep1 Min a -> Min a #
Generic1 Max
Instance details Defined in Data.Semigroup Associated Types type Rep1 Max :: k -> Type # Methods from1 :: Max a -> Rep1 Max a # to1 :: Rep1 Max a -> Max a #
Generic1 First
Instance details Defined in Data.Semigroup Associated Types type Rep1 First :: k -> Type # Methods from1 :: First a -> Rep1 First a # to1 :: Rep1 First a -> First a #
Generic1 Last
Instance details Defined in Data.Semigroup Associated Types type Rep1 Last :: k -> Type # Methods from1 :: Last a -> Rep1 Last a # to1 :: Rep1 Last a -> Last a #
Generic1 WrappedMonoid
Instance details Defined in Data.Semigroup Associated Types type Rep1 WrappedMonoid :: k -> Type # Methods from1 :: WrappedMonoid a -> Rep1 WrappedMonoid a # to1 :: Rep1 WrappedMonoid a -> WrappedMonoid a #
Generic1 Option
Instance details Defined in Data.Semigroup Associated Types type Rep1 Option :: k -> Type # Methods from1 :: Option a -> Rep1 Option a # to1 :: Rep1 Option a -> Option a #
Generic1 ZipList
Instance details Defined in Control.Applicative Associated Types type Rep1 ZipList :: k -> Type # Methods from1 :: ZipList a -> Rep1 ZipList a # to1 :: Rep1 ZipList a -> ZipList a #
Generic1 Identity
Instance details Defined in Data.Functor.Identity Associated Types type Rep1 Identity :: k -> Type # Methods from1 :: Identity a -> Rep1 Identity a # to1 :: Rep1 Identity a -> Identity a #
Generic1 First
Instance details Defined in Data.Monoid Associated Types type Rep1 First :: k -> Type # Methods from1 :: First a -> Rep1 First a # to1 :: Rep1 First a -> First a #
Generic1 Last
Instance details Defined in Data.Monoid Associated Types type Rep1 Last :: k -> Type # Methods from1 :: Last a -> Rep1 Last a # to1 :: Rep1 Last a -> Last a #
Generic1 Dual
Instance details Defined in Data.Semigroup.Internal Associated Types type Rep1 Dual :: k -> Type # Methods from1 :: Dual a -> Rep1 Dual a # to1 :: Rep1 Dual a -> Dual a #
Generic1 Sum
Instance details Defined in Data.Semigroup.Internal Associated Types type Rep1 Sum :: k -> Type # Methods from1 :: Sum a -> Rep1 Sum a # to1 :: Rep1 Sum a -> Sum a #
Generic1 Product
Instance details Defined in Data.Semigroup.Internal Associated Types type Rep1 Product :: k -> Type # Methods from1 :: Product a -> Rep1 Product a # to1 :: Rep1 Product a -> Product a #
Generic1 Down
Instance details Defined in GHC.Generics Associated Types type Rep1 Down :: k -> Type # Methods from1 :: Down a -> Rep1 Down a # to1 :: Rep1 Down a -> Down a #
Generic1 NonEmpty
Instance details Defined in GHC.Generics Associated Types type Rep1 NonEmpty :: k -> Type # Methods from1 :: NonEmpty a -> Rep1 NonEmpty a # to1 :: Rep1 NonEmpty a -> NonEmpty a #
Generic1 Tree
Instance details Defined in Data.Tree Associated Types type Rep1 Tree :: k -> Type # Methods from1 :: Tree a -> Rep1 Tree a # to1 :: Rep1 Tree a -> Tree a #
Generic1 FingerTree
Instance details Defined in Data.Sequence.Internal Associated Types type Rep1 FingerTree :: k -> Type # Methods from1 :: FingerTree a -> Rep1 FingerTree a # to1 :: Rep1 FingerTree a -> FingerTree a #
Generic1 Digit
Instance details Defined in Data.Sequence.Internal Associated Types type Rep1 Digit :: k -> Type # Methods from1 :: Digit a -> Rep1 Digit a # to1 :: Rep1 Digit a -> Digit a #
Generic1 Node
Instance details Defined in Data.Sequence.Internal Associated Types type Rep1 Node :: k -> Type # Methods from1 :: Node a -> Rep1 Node a # to1 :: Rep1 Node a -> Node a #
Generic1 Elem
Instance details Defined in Data.Sequence.Internal Associated Types type Rep1 Elem :: k -> Type # Methods from1 :: Elem a -> Rep1 Elem a # to1 :: Rep1 Elem a -> Elem a #
Generic1 ViewL
Instance details Defined in Data.Sequence.Internal Associated Types type Rep1 ViewL :: k -> Type # Methods from1 :: ViewL a -> Rep1 ViewL a # to1 :: Rep1 ViewL a -> ViewL a #
Generic1 ViewR
Instance details Defined in Data.Sequence.Internal Associated Types type Rep1 ViewR :: k -> Type # Methods from1 :: ViewR a -> Rep1 ViewR a # to1 :: Rep1 ViewR a -> ViewR a #
Generic1 (Either a :: Type -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (Either a) :: k -> Type # Methods from1 :: Either a a0 -> Rep1 (Either a) a0 # to1 :: Rep1 (Either a) a0 -> Either a a0 #
Generic1 ((,) a :: Type -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 ((,) a) :: k -> Type # Methods from1 :: (a, a0) -> Rep1 ((,) a) a0 # to1 :: Rep1 ((,) a) a0 -> (a, a0) #
Generic1 (Arg a :: Type -> Type)
Instance details Defined in Data.Semigroup Associated Types type Rep1 (Arg a) :: k -> Type # Methods from1 :: Arg a a0 -> Rep1 (Arg a) a0 # to1 :: Rep1 (Arg a) a0 -> Arg a a0 #
Generic1 (WrappedMonad m :: Type -> Type)
Instance details Defined in Control.Applicative Associated Types type Rep1 (WrappedMonad m) :: k -> Type # Methods from1 :: WrappedMonad m a -> Rep1 (WrappedMonad m) a # to1 :: Rep1 (WrappedMonad m) a -> WrappedMonad m a #
Functor f => Generic1 (Cofree f :: Type -> Type)
Instance details Defined in Control.Comonad.Cofree Associated Types type Rep1 (Cofree f) :: k -> Type # Methods from1 :: Cofree f a -> Rep1 (Cofree f) a # to1 :: Rep1 (Cofree f) a -> Cofree f a #
Functor f => Generic1 (Free f :: Type -> Type)
Instance details Defined in Control.Monad.Free Associated Types type Rep1 (Free f) :: k -> Type # Methods from1 :: Free f a -> Rep1 (Free f) a # to1 :: Rep1 (Free f) a -> Free f a #
Generic1 ((,,) a b :: Type -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 ((,,) a b) :: k -> Type # Methods from1 :: (a, b, a0) -> Rep1 ((,,) a b) a0 # to1 :: Rep1 ((,,) a b) a0 -> (a, b, a0) #
Generic1 (WrappedArrow a b :: Type -> Type)
Instance details Defined in Control.Applicative Associated Types type Rep1 (WrappedArrow a b) :: k -> Type # Methods from1 :: WrappedArrow a b a0 -> Rep1 (WrappedArrow a b) a0 # to1 :: Rep1 (WrappedArrow a b) a0 -> WrappedArrow a b a0 #
Generic1 (FreeF f a :: Type -> Type)
Instance details Defined in Control.Monad.Trans.Free Associated Types type Rep1 (FreeF f a) :: k -> Type # Methods from1 :: FreeF f a a0 -> Rep1 (FreeF f a) a0 # to1 :: Rep1 (FreeF f a) a0 -> FreeF f a a0 #
Generic1 (CofreeF f a :: Type -> Type)
Instance details Defined in Control.Comonad.Trans.Cofree Associated Types type Rep1 (CofreeF f a) :: k -> Type # Methods from1 :: CofreeF f a a0 -> Rep1 (CofreeF f a) a0 # to1 :: Rep1 (CofreeF f a) a0 -> CofreeF f a a0 #
Generic1 (Tagged s :: Type -> Type)
Instance details Defined in Data.Tagged Associated Types type Rep1 (Tagged s) :: k -> Type # Methods from1 :: Tagged s a -> Rep1 (Tagged s) a # to1 :: Rep1 (Tagged s) a -> Tagged s a #
Generic1 ((,,,) a b c :: Type -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 ((,,,) a b c) :: k -> Type # Methods from1 :: (a, b, c, a0) -> Rep1 ((,,,) a b c) a0 # to1 :: Rep1 ((,,,) a b c) a0 -> (a, b, c, a0) #
Generic1 ((,,,,) a b c d :: Type -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 ((,,,,) a b c d) :: k -> Type # Methods from1 :: (a, b, c, d, a0) -> Rep1 ((,,,,) a b c d) a0 # to1 :: Rep1 ((,,,,) a b c d) a0 -> (a, b, c, d, a0) #
Generic1 ((,,,,,) a b c d e :: Type -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 ((,,,,,) a b c d e) :: k -> Type # Methods from1 :: (a, b, c, d, e, a0) -> Rep1 ((,,,,,) a b c d e) a0 # to1 :: Rep1 ((,,,,,) a b c d e) a0 -> (a, b, c, d, e, a0) #
Generic1 ((,,,,,,) a b c d e f :: Type -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 ((,,,,,,) a b c d e f) :: k -> Type # Methods from1 :: (a, b, c, d, e, f, a0) -> Rep1 ((,,,,,,) a b c d e f) a0 # to1 :: Rep1 ((,,,,,,) a b c d e f) a0 -> (a, b, c, d, e, f, a0) #

class Datatype (d :: k) where #

Class for datatypes that represent datatypes

Minimal complete definition

datatypeName, moduleName, packageName

Methods

datatypeName :: t d f a -> [Char] #

The name of the datatype (unqualified)

moduleName :: t d f a -> [Char] #

The fully-qualified name of the module where the type is declared

packageName :: t d f a -> [Char] #

The package name of the module where the type is declared

Since: base-4.9.0.0

isNewtype :: t d f a -> Bool #

Marks if the datatype is actually a newtype

Since: base-4.7.0.0

Instances

(KnownSymbol n, KnownSymbol m, KnownSymbol p, SingI nt) => Datatype (MetaData n m p nt :: Meta)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods datatypeName :: t (MetaData n m p nt) f a -> [Char] # moduleName :: t (MetaData n m p nt) f a -> [Char] # packageName :: t (MetaData n m p nt) f a -> [Char] # isNewtype :: t (MetaData n m p nt) f a -> Bool #

class Constructor (c :: k) where #

Class for datatypes that represent data constructors

Minimal complete definition

conName

Methods

conName :: t c f a -> [Char] #

The name of the constructor

conFixity :: t c f a -> Fixity #

The fixity of the constructor

conIsRecord :: t c f a -> Bool #

Marks if this constructor is a record

Instances

(KnownSymbol n, SingI f, SingI r) => Constructor (MetaCons n f r :: Meta)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods conName :: t (MetaCons n f r) f0 a -> [Char] # conFixity :: t (MetaCons n f r) f0 a -> Fixity # conIsRecord :: t (MetaCons n f r) f0 a -> Bool #

class Selector (s :: k) where #

Class for datatypes that represent records

Methods

selName :: t s f a -> [Char] #

The name of the selector

selSourceUnpackedness :: t s f a -> SourceUnpackedness #

The selector's unpackedness annotation (if any)

Since: base-4.9.0.0

selSourceStrictness :: t s f a -> SourceStrictness #

The selector's strictness annotation (if any)

Since: base-4.9.0.0

selDecidedStrictness :: t s f a -> DecidedStrictness #

The strictness that the compiler inferred for the selector

Since: base-4.9.0.0

Instances

(SingI mn, SingI su, SingI ss, SingI ds) => Selector (MetaSel mn su ss ds :: Meta)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods selName :: t (MetaSel mn su ss ds) f a -> [Char] # selSourceUnpackedness :: t (MetaSel mn su ss ds) f a -> SourceUnpackedness # selSourceStrictness :: t (MetaSel mn su ss ds) f a -> SourceStrictness # selDecidedStrictness :: t (MetaSel mn su ss ds) f a -> DecidedStrictness #

class KnownNat (n :: Nat) #

This class gives the integer associated with a type-level natural. There are instances of the class for every concrete literal: 0, 1, 2, etc.

Since: base-4.7.0.0

Minimal complete definition

natSing

class KnownSymbol (n :: Symbol) #

This class gives the string associated with a type-level symbol. There are instances of the class for every concrete literal: "hello", etc.

Since: base-4.7.0.0

Minimal complete definition

symbolSing

class IsLabel (x :: Symbol) a where #

Methods

fromLabel :: a #

class Semigroup a where #

The class of semigroups (types with an associative binary operation).

Instances should satisfy the associativity law:

```
x <> (y <> z) = (x <> y) <> z
```

Since: base-4.9.0.0

Minimal complete definition

(<>)

Methods

(<>) :: a -> a -> a infixr 6 #

An associative operation.

sconcat :: NonEmpty a -> a #

Reduce a non-empty list with <>

The default definition should be sufficient, but this can be overridden for efficiency.

stimes :: Integral b => b -> a -> a #

Repeat a value n times.

Given that this works on a Semigroup it is allowed to fail if you request 0 or fewer repetitions, and the default definition will do so.

By making this a member of the class, idempotent semigroups and monoids can upgrade this to execute in O(1) by picking stimes = stimesIdempotent or stimes = stimesIdempotentMonoid respectively.

Instances

Semigroup Ordering	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (<>) :: Ordering -> Ordering -> Ordering # sconcat :: NonEmpty Ordering -> Ordering # stimes :: Integral b => b -> Ordering -> Ordering #
Semigroup ()	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (<>) :: () -> () -> () # sconcat :: NonEmpty () -> () # stimes :: Integral b => b -> () -> () #
Semigroup ByteString
Instance details Defined in Data.ByteString.Internal Methods (<>) :: ByteString -> ByteString -> ByteString # sconcat :: NonEmpty ByteString -> ByteString # stimes :: Integral b => b -> ByteString -> ByteString #
Semigroup ByteString
Instance details Defined in Data.ByteString.Lazy.Internal Methods (<>) :: ByteString -> ByteString -> ByteString # sconcat :: NonEmpty ByteString -> ByteString # stimes :: Integral b => b -> ByteString -> ByteString #
Semigroup Builder
Instance details Defined in Data.ByteString.Builder.Internal Methods (<>) :: Builder -> Builder -> Builder # sconcat :: NonEmpty Builder -> Builder # stimes :: Integral b => b -> Builder -> Builder #
Semigroup More
Instance details Defined in Data.Attoparsec.Internal.Types Methods (<>) :: More -> More -> More # sconcat :: NonEmpty More -> More # stimes :: Integral b => b -> More -> More #
Semigroup Void	Since: base-4.9.0.0
Instance details Defined in Data.Void Methods (<>) :: Void -> Void -> Void # sconcat :: NonEmpty Void -> Void # stimes :: Integral b => b -> Void -> Void #
Semigroup All	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup.Internal Methods (<>) :: All -> All -> All # sconcat :: NonEmpty All -> All # stimes :: Integral b => b -> All -> All #
Semigroup Any	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup.Internal Methods (<>) :: Any -> Any -> Any # sconcat :: NonEmpty Any -> Any # stimes :: Integral b => b -> Any -> Any #
Semigroup IntSet	Since: containers-0.5.7
Instance details Defined in Data.IntSet.Internal Methods (<>) :: IntSet -> IntSet -> IntSet # sconcat :: NonEmpty IntSet -> IntSet # stimes :: Integral b => b -> IntSet -> IntSet #
Semigroup Doc
Instance details Defined in Text.PrettyPrint.HughesPJ Methods (<>) :: Doc -> Doc -> Doc # sconcat :: NonEmpty Doc -> Doc # stimes :: Integral b => b -> Doc -> Doc #
Semigroup ByteArray
Instance details Defined in Data.Primitive.ByteArray Methods (<>) :: ByteArray -> ByteArray -> ByteArray # sconcat :: NonEmpty ByteArray -> ByteArray # stimes :: Integral b => b -> ByteArray -> ByteArray #
Semigroup [a]	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (<>) :: [a] -> [a] -> [a] # sconcat :: NonEmpty [a] -> [a] # stimes :: Integral b => b -> [a] -> [a] #
Semigroup a => Semigroup (Maybe a)	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (<>) :: Maybe a -> Maybe a -> Maybe a # sconcat :: NonEmpty (Maybe a) -> Maybe a # stimes :: Integral b => b -> Maybe a -> Maybe a #
Semigroup a => Semigroup (IO a)	Since: base-4.10.0.0
Instance details Defined in GHC.Base Methods (<>) :: IO a -> IO a -> IO a # sconcat :: NonEmpty (IO a) -> IO a # stimes :: Integral b => b -> IO a -> IO a #
Semigroup p => Semigroup (Par1 p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods (<>) :: Par1 p -> Par1 p -> Par1 p # sconcat :: NonEmpty (Par1 p) -> Par1 p # stimes :: Integral b => b -> Par1 p -> Par1 p #
Semigroup (IResult a)
Instance details Defined in Data.Aeson.Types.Internal Methods (<>) :: IResult a -> IResult a -> IResult a # sconcat :: NonEmpty (IResult a) -> IResult a # stimes :: Integral b => b -> IResult a -> IResult a #
Semigroup (Result a)
Instance details Defined in Data.Aeson.Types.Internal Methods (<>) :: Result a -> Result a -> Result a # sconcat :: NonEmpty (Result a) -> Result a # stimes :: Integral b => b -> Result a -> Result a #
Semigroup (Parser a)
Instance details Defined in Data.Aeson.Types.Internal Methods (<>) :: Parser a -> Parser a -> Parser a # sconcat :: NonEmpty (Parser a) -> Parser a # stimes :: Integral b => b -> Parser a -> Parser a #
Semigroup a => Semigroup (Concurrently a)	Only defined by `async` for `base >= 4.9` Since: async-2.1.0
Instance details Defined in Control.Concurrent.Async Methods (<>) :: Concurrently a -> Concurrently a -> Concurrently a # sconcat :: NonEmpty (Concurrently a) -> Concurrently a # stimes :: Integral b => b -> Concurrently a -> Concurrently a #
Ord a => Semigroup (Min a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (<>) :: Min a -> Min a -> Min a # sconcat :: NonEmpty (Min a) -> Min a # stimes :: Integral b => b -> Min a -> Min a #
Ord a => Semigroup (Max a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (<>) :: Max a -> Max a -> Max a # sconcat :: NonEmpty (Max a) -> Max a # stimes :: Integral b => b -> Max a -> Max a #
Semigroup (First a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (<>) :: First a -> First a -> First a # sconcat :: NonEmpty (First a) -> First a # stimes :: Integral b => b -> First a -> First a #
Semigroup (Last a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (<>) :: Last a -> Last a -> Last a # sconcat :: NonEmpty (Last a) -> Last a # stimes :: Integral b => b -> Last a -> Last a #
Monoid m => Semigroup (WrappedMonoid m)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (<>) :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m # sconcat :: NonEmpty (WrappedMonoid m) -> WrappedMonoid m # stimes :: Integral b => b -> WrappedMonoid m -> WrappedMonoid m #
Semigroup a => Semigroup (Option a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (<>) :: Option a -> Option a -> Option a # sconcat :: NonEmpty (Option a) -> Option a # stimes :: Integral b => b -> Option a -> Option a #
Semigroup a => Semigroup (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods (<>) :: Identity a -> Identity a -> Identity a # sconcat :: NonEmpty (Identity a) -> Identity a # stimes :: Integral b => b -> Identity a -> Identity a #
Semigroup (First a)	Since: base-4.9.0.0
Instance details Defined in Data.Monoid Methods (<>) :: First a -> First a -> First a # sconcat :: NonEmpty (First a) -> First a # stimes :: Integral b => b -> First a -> First a #
Semigroup (Last a)	Since: base-4.9.0.0
Instance details Defined in Data.Monoid Methods (<>) :: Last a -> Last a -> Last a # sconcat :: NonEmpty (Last a) -> Last a # stimes :: Integral b => b -> Last a -> Last a #
Semigroup a => Semigroup (Dual a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup.Internal Methods (<>) :: Dual a -> Dual a -> Dual a # sconcat :: NonEmpty (Dual a) -> Dual a # stimes :: Integral b => b -> Dual a -> Dual a #
Semigroup (Endo a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup.Internal Methods (<>) :: Endo a -> Endo a -> Endo a # sconcat :: NonEmpty (Endo a) -> Endo a # stimes :: Integral b => b -> Endo a -> Endo a #
Num a => Semigroup (Sum a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup.Internal Methods (<>) :: Sum a -> Sum a -> Sum a # sconcat :: NonEmpty (Sum a) -> Sum a # stimes :: Integral b => b -> Sum a -> Sum a #
Num a => Semigroup (Product a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup.Internal Methods (<>) :: Product a -> Product a -> Product a # sconcat :: NonEmpty (Product a) -> Product a # stimes :: Integral b => b -> Product a -> Product a #
Semigroup a => Semigroup (Down a)	Since: base-4.11.0.0
Instance details Defined in Data.Ord Methods (<>) :: Down a -> Down a -> Down a # sconcat :: NonEmpty (Down a) -> Down a # stimes :: Integral b => b -> Down a -> Down a #
Semigroup (NonEmpty a)	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (<>) :: NonEmpty a -> NonEmpty a -> NonEmpty a # sconcat :: NonEmpty (NonEmpty a) -> NonEmpty a # stimes :: Integral b => b -> NonEmpty a -> NonEmpty a #
Semigroup (IntMap a)	Since: containers-0.5.7
Instance details Defined in Data.IntMap.Internal Methods (<>) :: IntMap a -> IntMap a -> IntMap a # sconcat :: NonEmpty (IntMap a) -> IntMap a # stimes :: Integral b => b -> IntMap a -> IntMap a #
Semigroup (Seq a)	Since: containers-0.5.7
Instance details Defined in Data.Sequence.Internal Methods (<>) :: Seq a -> Seq a -> Seq a # sconcat :: NonEmpty (Seq a) -> Seq a # stimes :: Integral b => b -> Seq a -> Seq a #
Ord a => Semigroup (Set a)	Since: containers-0.5.7
Instance details Defined in Data.Set.Internal Methods (<>) :: Set a -> Set a -> Set a # sconcat :: NonEmpty (Set a) -> Set a # stimes :: Integral b => b -> Set a -> Set a #
Semigroup (DList a)
Instance details Defined in Data.DList Methods (<>) :: DList a -> DList a -> DList a # sconcat :: NonEmpty (DList a) -> DList a # stimes :: Integral b => b -> DList a -> DList a #
Prim a => Semigroup (Vector a)
Instance details Defined in Data.Vector.Primitive Methods (<>) :: Vector a -> Vector a -> Vector a # sconcat :: NonEmpty (Vector a) -> Vector a # stimes :: Integral b => b -> Vector a -> Vector a #
Storable a => Semigroup (Vector a)
Instance details Defined in Data.Vector.Storable Methods (<>) :: Vector a -> Vector a -> Vector a # sconcat :: NonEmpty (Vector a) -> Vector a # stimes :: Integral b => b -> Vector a -> Vector a #
(Hashable a, Eq a) => Semigroup (HashSet a)
Instance details Defined in Data.HashSet Methods (<>) :: HashSet a -> HashSet a -> HashSet a # sconcat :: NonEmpty (HashSet a) -> HashSet a # stimes :: Integral b => b -> HashSet a -> HashSet a #
Semigroup (Vector a)
Instance details Defined in Data.Vector Methods (<>) :: Vector a -> Vector a -> Vector a # sconcat :: NonEmpty (Vector a) -> Vector a # stimes :: Integral b => b -> Vector a -> Vector a #
Semigroup (Doc a)
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods (<>) :: Doc a -> Doc a -> Doc a # sconcat :: NonEmpty (Doc a) -> Doc a # stimes :: Integral b => b -> Doc a -> Doc a #
PrimUnlifted a => Semigroup (UnliftedArray a)	Since: primitive-0.6.4.0
Instance details Defined in Data.Primitive.UnliftedArray Methods (<>) :: UnliftedArray a -> UnliftedArray a -> UnliftedArray a # sconcat :: NonEmpty (UnliftedArray a) -> UnliftedArray a # stimes :: Integral b => b -> UnliftedArray a -> UnliftedArray a #
Semigroup (PrimArray a)	Since: primitive-0.6.4.0
Instance details Defined in Data.Primitive.PrimArray Methods (<>) :: PrimArray a -> PrimArray a -> PrimArray a # sconcat :: NonEmpty (PrimArray a) -> PrimArray a # stimes :: Integral b => b -> PrimArray a -> PrimArray a #
Semigroup (SmallArray a)	Since: primitive-0.6.3.0
Instance details Defined in Data.Primitive.SmallArray Methods (<>) :: SmallArray a -> SmallArray a -> SmallArray a # sconcat :: NonEmpty (SmallArray a) -> SmallArray a # stimes :: Integral b => b -> SmallArray a -> SmallArray a #
Semigroup (Array a)	Since: primitive-0.6.3.0
Instance details Defined in Data.Primitive.Array Methods (<>) :: Array a -> Array a -> Array a # sconcat :: NonEmpty (Array a) -> Array a # stimes :: Integral b => b -> Array a -> Array a #
Semigroup (MergeSet a)
Instance details Defined in Data.Set.Internal Methods (<>) :: MergeSet a -> MergeSet a -> MergeSet a # sconcat :: NonEmpty (MergeSet a) -> MergeSet a # stimes :: Integral b => b -> MergeSet a -> MergeSet a #
Semigroup b => Semigroup (a -> b)	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (<>) :: (a -> b) -> (a -> b) -> a -> b # sconcat :: NonEmpty (a -> b) -> a -> b # stimes :: Integral b0 => b0 -> (a -> b) -> a -> b #
Semigroup (Either a b)	Since: base-4.9.0.0
Instance details Defined in Data.Either Methods (<>) :: Either a b -> Either a b -> Either a b # sconcat :: NonEmpty (Either a b) -> Either a b # stimes :: Integral b0 => b0 -> Either a b -> Either a b #
Semigroup (V1 p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods (<>) :: V1 p -> V1 p -> V1 p # sconcat :: NonEmpty (V1 p) -> V1 p # stimes :: Integral b => b -> V1 p -> V1 p #
Semigroup (U1 p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods (<>) :: U1 p -> U1 p -> U1 p # sconcat :: NonEmpty (U1 p) -> U1 p # stimes :: Integral b => b -> U1 p -> U1 p #
(Semigroup a, Semigroup b) => Semigroup (a, b)	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (<>) :: (a, b) -> (a, b) -> (a, b) # sconcat :: NonEmpty (a, b) -> (a, b) # stimes :: Integral b0 => b0 -> (a, b) -> (a, b) #
(Eq k, Hashable k) => Semigroup (HashMap k v)
Instance details Defined in Data.HashMap.Base Methods (<>) :: HashMap k v -> HashMap k v -> HashMap k v # sconcat :: NonEmpty (HashMap k v) -> HashMap k v # stimes :: Integral b => b -> HashMap k v -> HashMap k v #
Ord k => Semigroup (Map k v)
Instance details Defined in Data.Map.Internal Methods (<>) :: Map k v -> Map k v -> Map k v # sconcat :: NonEmpty (Map k v) -> Map k v # stimes :: Integral b => b -> Map k v -> Map k v #
Semigroup a => Semigroup (ST s a)	Since: base-4.11.0.0
Instance details Defined in GHC.ST Methods (<>) :: ST s a -> ST s a -> ST s a # sconcat :: NonEmpty (ST s a) -> ST s a # stimes :: Integral b => b -> ST s a -> ST s a #
Semigroup (Parser i a)
Instance details Defined in Data.Attoparsec.Internal.Types Methods (<>) :: Parser i a -> Parser i a -> Parser i a # sconcat :: NonEmpty (Parser i a) -> Parser i a # stimes :: Integral b => b -> Parser i a -> Parser i a #
Semigroup (Proxy s)	Since: base-4.9.0.0
Instance details Defined in Data.Proxy Methods (<>) :: Proxy s -> Proxy s -> Proxy s # sconcat :: NonEmpty (Proxy s) -> Proxy s # stimes :: Integral b => b -> Proxy s -> Proxy s #
Semigroup (ReifiedFold s a)
Instance details Defined in Control.Lens.Reified Methods (<>) :: ReifiedFold s a -> ReifiedFold s a -> ReifiedFold s a # sconcat :: NonEmpty (ReifiedFold s a) -> ReifiedFold s a # stimes :: Integral b => b -> ReifiedFold s a -> ReifiedFold s a #
Semigroup (f a) => Semigroup (Indexing f a)
Instance details Defined in Control.Lens.Internal.Indexed Methods (<>) :: Indexing f a -> Indexing f a -> Indexing f a # sconcat :: NonEmpty (Indexing f a) -> Indexing f a # stimes :: Integral b => b -> Indexing f a -> Indexing f a #
Semigroup (f p) => Semigroup (Rec1 f p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods (<>) :: Rec1 f p -> Rec1 f p -> Rec1 f p # sconcat :: NonEmpty (Rec1 f p) -> Rec1 f p # stimes :: Integral b => b -> Rec1 f p -> Rec1 f p #
(Semigroup a, Semigroup b, Semigroup c) => Semigroup (a, b, c)	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (<>) :: (a, b, c) -> (a, b, c) -> (a, b, c) # sconcat :: NonEmpty (a, b, c) -> (a, b, c) # stimes :: Integral b0 => b0 -> (a, b, c) -> (a, b, c) #
Semigroup a => Semigroup (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods (<>) :: Const a b -> Const a b -> Const a b # sconcat :: NonEmpty (Const a b) -> Const a b # stimes :: Integral b0 => b0 -> Const a b -> Const a b #
(Applicative f, Semigroup a) => Semigroup (Ap f a)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid Methods (<>) :: Ap f a -> Ap f a -> Ap f a # sconcat :: NonEmpty (Ap f a) -> Ap f a # stimes :: Integral b => b -> Ap f a -> Ap f a #
Alternative f => Semigroup (Alt f a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup.Internal Methods (<>) :: Alt f a -> Alt f a -> Alt f a # sconcat :: NonEmpty (Alt f a) -> Alt f a # stimes :: Integral b => b -> Alt f a -> Alt f a #
Semigroup (ReifiedIndexedFold i s a)
Instance details Defined in Control.Lens.Reified Methods (<>) :: ReifiedIndexedFold i s a -> ReifiedIndexedFold i s a -> ReifiedIndexedFold i s a # sconcat :: NonEmpty (ReifiedIndexedFold i s a) -> ReifiedIndexedFold i s a # stimes :: Integral b => b -> ReifiedIndexedFold i s a -> ReifiedIndexedFold i s a #
ArrowPlus p => Semigroup (Tambara p a b)
Instance details Defined in Data.Profunctor.Strong Methods (<>) :: Tambara p a b -> Tambara p a b -> Tambara p a b # sconcat :: NonEmpty (Tambara p a b) -> Tambara p a b # stimes :: Integral b0 => b0 -> Tambara p a b -> Tambara p a b #
Reifies s (ReifiedMonoid a) => Semigroup (ReflectedMonoid a s)
Instance details Defined in Data.Reflection Methods (<>) :: ReflectedMonoid a s -> ReflectedMonoid a s -> ReflectedMonoid a s # sconcat :: NonEmpty (ReflectedMonoid a s) -> ReflectedMonoid a s # stimes :: Integral b => b -> ReflectedMonoid a s -> ReflectedMonoid a s #
Semigroup a => Semigroup (Tagged s a)
Instance details Defined in Data.Tagged Methods (<>) :: Tagged s a -> Tagged s a -> Tagged s a # sconcat :: NonEmpty (Tagged s a) -> Tagged s a # stimes :: Integral b => b -> Tagged s a -> Tagged s a #
Semigroup c => Semigroup (K1 i c p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods (<>) :: K1 i c p -> K1 i c p -> K1 i c p # sconcat :: NonEmpty (K1 i c p) -> K1 i c p # stimes :: Integral b => b -> K1 i c p -> K1 i c p #
(Semigroup (f p), Semigroup (g p)) => Semigroup ((f :*: g) p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods (<>) :: (f :: g) p -> (f :: g) p -> (f :: g) p # sconcat :: NonEmpty ((f :: g) p) -> (f :: g) p # stimes :: Integral b => b -> (f :: g) p -> (f :*: g) p #
(Semigroup a, Semigroup b, Semigroup c, Semigroup d) => Semigroup (a, b, c, d)	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (<>) :: (a, b, c, d) -> (a, b, c, d) -> (a, b, c, d) # sconcat :: NonEmpty (a, b, c, d) -> (a, b, c, d) # stimes :: Integral b0 => b0 -> (a, b, c, d) -> (a, b, c, d) #
Semigroup (f p) => Semigroup (M1 i c f p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods (<>) :: M1 i c f p -> M1 i c f p -> M1 i c f p # sconcat :: NonEmpty (M1 i c f p) -> M1 i c f p # stimes :: Integral b => b -> M1 i c f p -> M1 i c f p #
Semigroup (f (g p)) => Semigroup ((f :.: g) p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods (<>) :: (f :.: g) p -> (f :.: g) p -> (f :.: g) p # sconcat :: NonEmpty ((f :.: g) p) -> (f :.: g) p # stimes :: Integral b => b -> (f :.: g) p -> (f :.: g) p #
(Semigroup a, Semigroup b, Semigroup c, Semigroup d, Semigroup e) => Semigroup (a, b, c, d, e)	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (<>) :: (a, b, c, d, e) -> (a, b, c, d, e) -> (a, b, c, d, e) # sconcat :: NonEmpty (a, b, c, d, e) -> (a, b, c, d, e) # stimes :: Integral b0 => b0 -> (a, b, c, d, e) -> (a, b, c, d, e) #

class Semigroup a => Monoid a where #

The class of monoids (types with an associative binary operation that has an identity). Instances should satisfy the following laws:

```
x <> mempty = x
```
```
mempty <> x = x
```
x <> (y <> z) = (x <> y) <> z (Semigroup law)
```
mconcat = foldr '(<>)' mempty
```

The method names refer to the monoid of lists under concatenation, but there are many other instances.

Some types can be viewed as a monoid in more than one way, e.g. both addition and multiplication on numbers. In such cases we often define newtypes and make those instances of Monoid, e.g. Sum and Product.

NOTE: Semigroup is a superclass of Monoid since base-4.11.0.0.

Minimal complete definition

mempty

Methods

mempty :: a #

Identity of mappend

mappend :: a -> a -> a #

An associative operation

NOTE: This method is redundant and has the default implementation mappend = '(<>)' since base-4.11.0.0.

mconcat :: [a] -> a #

Fold a list using the monoid.

For most types, the default definition for mconcat will be used, but the function is included in the class definition so that an optimized version can be provided for specific types.

Instances

Monoid Ordering	Since: base-2.1
Instance details Defined in GHC.Base Methods mempty :: Ordering # mappend :: Ordering -> Ordering -> Ordering # mconcat :: [Ordering] -> Ordering #
Monoid ()	Since: base-2.1
Instance details Defined in GHC.Base Methods mempty :: () # mappend :: () -> () -> () # mconcat :: [()] -> () #
Monoid ByteString
Instance details Defined in Data.ByteString.Internal Methods mempty :: ByteString # mappend :: ByteString -> ByteString -> ByteString # mconcat :: [ByteString] -> ByteString #
Monoid ByteString
Instance details Defined in Data.ByteString.Lazy.Internal Methods mempty :: ByteString # mappend :: ByteString -> ByteString -> ByteString # mconcat :: [ByteString] -> ByteString #
Monoid Builder
Instance details Defined in Data.ByteString.Builder.Internal Methods mempty :: Builder # mappend :: Builder -> Builder -> Builder # mconcat :: [Builder] -> Builder #
Monoid More
Instance details Defined in Data.Attoparsec.Internal.Types Methods mempty :: More # mappend :: More -> More -> More # mconcat :: [More] -> More #
Monoid All	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods mempty :: All # mappend :: All -> All -> All # mconcat :: [All] -> All #
Monoid Any	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods mempty :: Any # mappend :: Any -> Any -> Any # mconcat :: [Any] -> Any #
Monoid IntSet
Instance details Defined in Data.IntSet.Internal Methods mempty :: IntSet # mappend :: IntSet -> IntSet -> IntSet # mconcat :: [IntSet] -> IntSet #
Monoid Doc
Instance details Defined in Text.PrettyPrint.HughesPJ Methods mempty :: Doc # mappend :: Doc -> Doc -> Doc # mconcat :: [Doc] -> Doc #
Monoid ByteArray
Instance details Defined in Data.Primitive.ByteArray Methods mempty :: ByteArray # mappend :: ByteArray -> ByteArray -> ByteArray # mconcat :: [ByteArray] -> ByteArray #
Monoid [a]	Since: base-2.1
Instance details Defined in GHC.Base Methods mempty :: [a] # mappend :: [a] -> [a] -> [a] # mconcat :: [[a]] -> [a] #
Semigroup a => Monoid (Maybe a)	Lift a semigroup into `Maybe` forming a `Monoid` according to http://en.wikipedia.org/wiki/Monoid: "Any semigroup `S` may be turned into a monoid simply by adjoining an element `e` not in `S` and defining `ee = e` and `es = s = se` for all `s ∈ S`." Since 4.11.0: constraint on inner `a` value generalised from `Monoid` to `Semigroup`. Since: base-2.1*
Instance details Defined in GHC.Base Methods mempty :: Maybe a # mappend :: Maybe a -> Maybe a -> Maybe a # mconcat :: [Maybe a] -> Maybe a #
Monoid a => Monoid (IO a)	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods mempty :: IO a # mappend :: IO a -> IO a -> IO a # mconcat :: [IO a] -> IO a #
Monoid p => Monoid (Par1 p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods mempty :: Par1 p # mappend :: Par1 p -> Par1 p -> Par1 p # mconcat :: [Par1 p] -> Par1 p #
Monoid (IResult a)
Instance details Defined in Data.Aeson.Types.Internal Methods mempty :: IResult a # mappend :: IResult a -> IResult a -> IResult a # mconcat :: [IResult a] -> IResult a #
Monoid (Result a)
Instance details Defined in Data.Aeson.Types.Internal Methods mempty :: Result a # mappend :: Result a -> Result a -> Result a # mconcat :: [Result a] -> Result a #
Monoid (Parser a)
Instance details Defined in Data.Aeson.Types.Internal Methods mempty :: Parser a # mappend :: Parser a -> Parser a -> Parser a # mconcat :: [Parser a] -> Parser a #
(Semigroup a, Monoid a) => Monoid (Concurrently a)	Since: async-2.1.0
Instance details Defined in Control.Concurrent.Async Methods mempty :: Concurrently a # mappend :: Concurrently a -> Concurrently a -> Concurrently a # mconcat :: [Concurrently a] -> Concurrently a #
(Ord a, Bounded a) => Monoid (Min a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods mempty :: Min a # mappend :: Min a -> Min a -> Min a # mconcat :: [Min a] -> Min a #
(Ord a, Bounded a) => Monoid (Max a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods mempty :: Max a # mappend :: Max a -> Max a -> Max a # mconcat :: [Max a] -> Max a #
Monoid m => Monoid (WrappedMonoid m)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods mempty :: WrappedMonoid m # mappend :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m # mconcat :: [WrappedMonoid m] -> WrappedMonoid m #
Semigroup a => Monoid (Option a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods mempty :: Option a # mappend :: Option a -> Option a -> Option a # mconcat :: [Option a] -> Option a #
Monoid a => Monoid (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods mempty :: Identity a # mappend :: Identity a -> Identity a -> Identity a # mconcat :: [Identity a] -> Identity a #
Monoid (First a)	Since: base-2.1
Instance details Defined in Data.Monoid Methods mempty :: First a # mappend :: First a -> First a -> First a # mconcat :: [First a] -> First a #
Monoid (Last a)	Since: base-2.1
Instance details Defined in Data.Monoid Methods mempty :: Last a # mappend :: Last a -> Last a -> Last a # mconcat :: [Last a] -> Last a #
Monoid a => Monoid (Dual a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods mempty :: Dual a # mappend :: Dual a -> Dual a -> Dual a # mconcat :: [Dual a] -> Dual a #
Monoid (Endo a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods mempty :: Endo a # mappend :: Endo a -> Endo a -> Endo a # mconcat :: [Endo a] -> Endo a #
Num a => Monoid (Sum a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods mempty :: Sum a # mappend :: Sum a -> Sum a -> Sum a # mconcat :: [Sum a] -> Sum a #
Num a => Monoid (Product a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods mempty :: Product a # mappend :: Product a -> Product a -> Product a # mconcat :: [Product a] -> Product a #
Monoid a => Monoid (Down a)	Since: base-4.11.0.0
Instance details Defined in Data.Ord Methods mempty :: Down a # mappend :: Down a -> Down a -> Down a # mconcat :: [Down a] -> Down a #
Monoid (IntMap a)
Instance details Defined in Data.IntMap.Internal Methods mempty :: IntMap a # mappend :: IntMap a -> IntMap a -> IntMap a # mconcat :: [IntMap a] -> IntMap a #
Monoid (Seq a)
Instance details Defined in Data.Sequence.Internal Methods mempty :: Seq a # mappend :: Seq a -> Seq a -> Seq a # mconcat :: [Seq a] -> Seq a #
Ord a => Monoid (Set a)
Instance details Defined in Data.Set.Internal Methods mempty :: Set a # mappend :: Set a -> Set a -> Set a # mconcat :: [Set a] -> Set a #
Monoid (DList a)
Instance details Defined in Data.DList Methods mempty :: DList a # mappend :: DList a -> DList a -> DList a # mconcat :: [DList a] -> DList a #
Prim a => Monoid (Vector a)
Instance details Defined in Data.Vector.Primitive Methods mempty :: Vector a # mappend :: Vector a -> Vector a -> Vector a # mconcat :: [Vector a] -> Vector a #
Storable a => Monoid (Vector a)
Instance details Defined in Data.Vector.Storable Methods mempty :: Vector a # mappend :: Vector a -> Vector a -> Vector a # mconcat :: [Vector a] -> Vector a #
(Hashable a, Eq a) => Monoid (HashSet a)
Instance details Defined in Data.HashSet Methods mempty :: HashSet a # mappend :: HashSet a -> HashSet a -> HashSet a # mconcat :: [HashSet a] -> HashSet a #
Monoid (Vector a)
Instance details Defined in Data.Vector Methods mempty :: Vector a # mappend :: Vector a -> Vector a -> Vector a # mconcat :: [Vector a] -> Vector a #
Monoid (Doc a)
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods mempty :: Doc a # mappend :: Doc a -> Doc a -> Doc a # mconcat :: [Doc a] -> Doc a #
PrimUnlifted a => Monoid (UnliftedArray a)	Since: primitive-0.6.4.0
Instance details Defined in Data.Primitive.UnliftedArray Methods mempty :: UnliftedArray a # mappend :: UnliftedArray a -> UnliftedArray a -> UnliftedArray a # mconcat :: [UnliftedArray a] -> UnliftedArray a #
Monoid (PrimArray a)	Since: primitive-0.6.4.0
Instance details Defined in Data.Primitive.PrimArray Methods mempty :: PrimArray a # mappend :: PrimArray a -> PrimArray a -> PrimArray a # mconcat :: [PrimArray a] -> PrimArray a #
Monoid (SmallArray a)
Instance details Defined in Data.Primitive.SmallArray Methods mempty :: SmallArray a # mappend :: SmallArray a -> SmallArray a -> SmallArray a # mconcat :: [SmallArray a] -> SmallArray a #
Monoid (Array a)
Instance details Defined in Data.Primitive.Array Methods mempty :: Array a # mappend :: Array a -> Array a -> Array a # mconcat :: [Array a] -> Array a #
Monoid (MergeSet a)
Instance details Defined in Data.Set.Internal Methods mempty :: MergeSet a # mappend :: MergeSet a -> MergeSet a -> MergeSet a # mconcat :: [MergeSet a] -> MergeSet a #
Monoid b => Monoid (a -> b)	Since: base-2.1
Instance details Defined in GHC.Base Methods mempty :: a -> b # mappend :: (a -> b) -> (a -> b) -> a -> b # mconcat :: [a -> b] -> a -> b #
Monoid (U1 p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods mempty :: U1 p # mappend :: U1 p -> U1 p -> U1 p # mconcat :: [U1 p] -> U1 p #
(Monoid a, Monoid b) => Monoid (a, b)	Since: base-2.1
Instance details Defined in GHC.Base Methods mempty :: (a, b) # mappend :: (a, b) -> (a, b) -> (a, b) # mconcat :: [(a, b)] -> (a, b) #
(Eq k, Hashable k) => Monoid (HashMap k v)
Instance details Defined in Data.HashMap.Base Methods mempty :: HashMap k v # mappend :: HashMap k v -> HashMap k v -> HashMap k v # mconcat :: [HashMap k v] -> HashMap k v #
Ord k => Monoid (Map k v)
Instance details Defined in Data.Map.Internal Methods mempty :: Map k v # mappend :: Map k v -> Map k v -> Map k v # mconcat :: [Map k v] -> Map k v #
Monoid a => Monoid (ST s a)	Since: base-4.11.0.0
Instance details Defined in GHC.ST Methods mempty :: ST s a # mappend :: ST s a -> ST s a -> ST s a # mconcat :: [ST s a] -> ST s a #
Monoid (Parser i a)
Instance details Defined in Data.Attoparsec.Internal.Types Methods mempty :: Parser i a # mappend :: Parser i a -> Parser i a -> Parser i a # mconcat :: [Parser i a] -> Parser i a #
Monoid (Proxy s)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods mempty :: Proxy s # mappend :: Proxy s -> Proxy s -> Proxy s # mconcat :: [Proxy s] -> Proxy s #
Monoid (ReifiedFold s a)
Instance details Defined in Control.Lens.Reified Methods mempty :: ReifiedFold s a # mappend :: ReifiedFold s a -> ReifiedFold s a -> ReifiedFold s a # mconcat :: [ReifiedFold s a] -> ReifiedFold s a #
Monoid (f a) => Monoid (Indexing f a)	`>>>` `"cat" ^@.. (folded <> folded)`[(0,'c'),(1,'a'),(2,'t'),(0,'c'),(1,'a'),(2,'t')] `>>>` `"cat" ^@.. indexing (folded <> folded)`[(0,'c'),(1,'a'),(2,'t'),(3,'c'),(4,'a'),(5,'t')]
Instance details Defined in Control.Lens.Internal.Indexed Methods mempty :: Indexing f a # mappend :: Indexing f a -> Indexing f a -> Indexing f a # mconcat :: [Indexing f a] -> Indexing f a #
Monoid (f p) => Monoid (Rec1 f p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods mempty :: Rec1 f p # mappend :: Rec1 f p -> Rec1 f p -> Rec1 f p # mconcat :: [Rec1 f p] -> Rec1 f p #
(Monoid a, Monoid b, Monoid c) => Monoid (a, b, c)	Since: base-2.1
Instance details Defined in GHC.Base Methods mempty :: (a, b, c) # mappend :: (a, b, c) -> (a, b, c) -> (a, b, c) # mconcat :: [(a, b, c)] -> (a, b, c) #
Monoid a => Monoid (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods mempty :: Const a b # mappend :: Const a b -> Const a b -> Const a b # mconcat :: [Const a b] -> Const a b #
(Applicative f, Monoid a) => Monoid (Ap f a)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid Methods mempty :: Ap f a # mappend :: Ap f a -> Ap f a -> Ap f a # mconcat :: [Ap f a] -> Ap f a #
Alternative f => Monoid (Alt f a)	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods mempty :: Alt f a # mappend :: Alt f a -> Alt f a -> Alt f a # mconcat :: [Alt f a] -> Alt f a #
Monoid (ReifiedIndexedFold i s a)
Instance details Defined in Control.Lens.Reified Methods mempty :: ReifiedIndexedFold i s a # mappend :: ReifiedIndexedFold i s a -> ReifiedIndexedFold i s a -> ReifiedIndexedFold i s a # mconcat :: [ReifiedIndexedFold i s a] -> ReifiedIndexedFold i s a #
ArrowPlus p => Monoid (Tambara p a b)
Instance details Defined in Data.Profunctor.Strong Methods mempty :: Tambara p a b # mappend :: Tambara p a b -> Tambara p a b -> Tambara p a b # mconcat :: [Tambara p a b] -> Tambara p a b #
Reifies s (ReifiedMonoid a) => Monoid (ReflectedMonoid a s)
Instance details Defined in Data.Reflection Methods mempty :: ReflectedMonoid a s # mappend :: ReflectedMonoid a s -> ReflectedMonoid a s -> ReflectedMonoid a s # mconcat :: [ReflectedMonoid a s] -> ReflectedMonoid a s #
(Semigroup a, Monoid a) => Monoid (Tagged s a)
Instance details Defined in Data.Tagged Methods mempty :: Tagged s a # mappend :: Tagged s a -> Tagged s a -> Tagged s a # mconcat :: [Tagged s a] -> Tagged s a #
Monoid c => Monoid (K1 i c p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods mempty :: K1 i c p # mappend :: K1 i c p -> K1 i c p -> K1 i c p # mconcat :: [K1 i c p] -> K1 i c p #
(Monoid (f p), Monoid (g p)) => Monoid ((f :*: g) p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods mempty :: (f :: g) p # mappend :: (f :: g) p -> (f :: g) p -> (f :: g) p # mconcat :: [(f :: g) p] -> (f :: g) p #
(Monoid a, Monoid b, Monoid c, Monoid d) => Monoid (a, b, c, d)	Since: base-2.1
Instance details Defined in GHC.Base Methods mempty :: (a, b, c, d) # mappend :: (a, b, c, d) -> (a, b, c, d) -> (a, b, c, d) # mconcat :: [(a, b, c, d)] -> (a, b, c, d) #
Monoid (f p) => Monoid (M1 i c f p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods mempty :: M1 i c f p # mappend :: M1 i c f p -> M1 i c f p -> M1 i c f p # mconcat :: [M1 i c f p] -> M1 i c f p #
Monoid (f (g p)) => Monoid ((f :.: g) p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods mempty :: (f :.: g) p # mappend :: (f :.: g) p -> (f :.: g) p -> (f :.: g) p # mconcat :: [(f :.: g) p] -> (f :.: g) p #
(Monoid a, Monoid b, Monoid c, Monoid d, Monoid e) => Monoid (a, b, c, d, e)	Since: base-2.1
Instance details Defined in GHC.Base Methods mempty :: (a, b, c, d, e) # mappend :: (a, b, c, d, e) -> (a, b, c, d, e) -> (a, b, c, d, e) # mconcat :: [(a, b, c, d, e)] -> (a, b, c, d, e) #

class HasField (x :: k) r a | x r -> a where #

Constraint representing the fact that the field x belongs to the record type r and has field type a. This will be solved automatically, but manual instances may be provided as well.

Methods

getField :: r -> a #

Selector function to extract the field from the record.

data Bool #

Constructors

False
True

Instances

Bounded Bool	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: Bool # maxBound :: Bool #
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] #
Eq Bool
Instance details Defined in GHC.Classes Methods (==) :: Bool -> Bool -> Bool # (/=) :: Bool -> Bool -> Bool #
Ord Bool
Instance details Defined in GHC.Classes Methods compare :: Bool -> Bool -> Ordering # (<) :: Bool -> Bool -> Bool # (<=) :: Bool -> Bool -> Bool # (>) :: Bool -> Bool -> Bool # (>=) :: Bool -> Bool -> Bool # max :: Bool -> Bool -> Bool # min :: Bool -> Bool -> Bool #
Read Bool	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Bool # readList :: ReadS [Bool] # readPrec :: ReadPrec Bool # readListPrec :: ReadPrec [Bool] #
Show Bool	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> Bool -> ShowS # show :: Bool -> String # showList :: [Bool] -> ShowS #
Ix Bool	Since: base-2.1
Instance details Defined in GHC.Arr Methods range :: (Bool, Bool) -> [Bool] # index :: (Bool, Bool) -> Bool -> Int # unsafeIndex :: (Bool, Bool) -> Bool -> Int inRange :: (Bool, Bool) -> Bool -> Bool # rangeSize :: (Bool, Bool) -> Int # unsafeRangeSize :: (Bool, Bool) -> Int
Generic Bool
Instance details Defined in GHC.Generics Associated Types type Rep Bool :: Type -> Type # Methods from :: Bool -> Rep Bool x # to :: Rep Bool x -> Bool #
Lift Bool
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Bool -> Q Exp #
Random Bool
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Bool, Bool) -> g -> (Bool, g) # random :: RandomGen g => g -> (Bool, g) # randomRs :: RandomGen g => (Bool, Bool) -> g -> [Bool] # randoms :: RandomGen g => g -> [Bool] # randomRIO :: (Bool, Bool) -> IO Bool # randomIO :: IO Bool #
Hashable Bool
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Bool -> Int # hash :: Bool -> Int #
ToJSON Bool
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Bool -> Value # toEncoding :: Bool -> Encoding # toJSONList :: [Bool] -> Value # toEncodingList :: [Bool] -> Encoding #
ToJSONKey Bool
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSONKey :: ToJSONKeyFunction Bool # toJSONKeyList :: ToJSONKeyFunction [Bool] #
FromJSON Bool
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Bool # parseJSONList :: Value -> Parser [Bool] #
FromJSONKey Bool
Instance details Defined in Data.Aeson.Types.FromJSON Methods fromJSONKey :: FromJSONKeyFunction Bool # fromJSONKeyList :: FromJSONKeyFunction [Bool] #
SingKind Bool	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Associated Types type DemoteRep Bool :: Type Methods fromSing :: Sing a -> DemoteRep Bool
Storable Bool	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Bool -> Int # alignment :: Bool -> Int # peekElemOff :: Ptr Bool -> Int -> IO Bool # pokeElemOff :: Ptr Bool -> Int -> Bool -> IO () # peekByteOff :: Ptr b -> Int -> IO Bool # pokeByteOff :: Ptr b -> Int -> Bool -> IO () # peek :: Ptr Bool -> IO Bool # poke :: Ptr Bool -> Bool -> IO () #
Bits Bool	Interpret `Bool` as 1-bit bit-field Since: base-4.7.0.0
Instance details Defined in Data.Bits Methods (.&.) :: Bool -> Bool -> Bool # (.\|.) :: Bool -> Bool -> Bool # xor :: Bool -> Bool -> Bool # complement :: Bool -> Bool # shift :: Bool -> Int -> Bool # rotate :: Bool -> Int -> Bool # zeroBits :: Bool # bit :: Int -> Bool # setBit :: Bool -> Int -> Bool # clearBit :: Bool -> Int -> Bool # complementBit :: Bool -> Int -> Bool # testBit :: Bool -> Int -> Bool # bitSizeMaybe :: Bool -> Maybe Int # bitSize :: Bool -> Int # isSigned :: Bool -> Bool # shiftL :: Bool -> Int -> Bool # unsafeShiftL :: Bool -> Int -> Bool # shiftR :: Bool -> Int -> Bool # unsafeShiftR :: Bool -> Int -> Bool # rotateL :: Bool -> Int -> Bool # rotateR :: Bool -> Int -> Bool # popCount :: Bool -> Int #
FiniteBits Bool	Since: base-4.7.0.0
Instance details Defined in Data.Bits Methods finiteBitSize :: Bool -> Int # countLeadingZeros :: Bool -> Int # countTrailingZeros :: Bool -> Int #
NFData Bool
Instance details Defined in Control.DeepSeq Methods rnf :: Bool -> () #
Unbox Bool
Instance details Defined in Data.Vector.Unboxed.Base
SingI False	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods sing :: Sing False
SingI True	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods sing :: Sing True
Vector Vector Bool
Instance details Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Bool -> m (Vector Bool) # basicUnsafeThaw :: PrimMonad m => Vector Bool -> m (Mutable Vector (PrimState m) Bool) # basicLength :: Vector Bool -> Int # basicUnsafeSlice :: Int -> Int -> Vector Bool -> Vector Bool # basicUnsafeIndexM :: Monad m => Vector Bool -> Int -> m Bool # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Bool -> Vector Bool -> m () # elemseq :: Vector Bool -> Bool -> b -> b #
MVector MVector Bool
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Bool -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Bool -> MVector s Bool # basicOverlaps :: MVector s Bool -> MVector s Bool -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Bool) # basicInitialize :: PrimMonad m => MVector (PrimState m) Bool -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> Bool -> m (MVector (PrimState m) Bool) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Bool -> Int -> m Bool # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Bool -> Int -> Bool -> m () # basicClear :: PrimMonad m => MVector (PrimState m) Bool -> m () # basicSet :: PrimMonad m => MVector (PrimState m) Bool -> Bool -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Bool -> MVector (PrimState m) Bool -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Bool -> MVector (PrimState m) Bool -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Bool -> Int -> m (MVector (PrimState m) Bool) #
type Rep Bool	Since: base-4.6.0.0
Instance details Defined in GHC.Generics type Rep Bool = D1 (MetaData "Bool" "GHC.Types" "ghc-prim" False) (C1 (MetaCons "False" PrefixI False) (U1 :: Type -> Type) :+: C1 (MetaCons "True" PrefixI False) (U1 :: Type -> Type))
data Sing (a :: Bool)
Instance details Defined in GHC.Generics data Sing (a :: Bool) where STrue :: forall (a :: Bool). Sing True SFalse :: forall (a :: Bool). Sing False
type DemoteRep Bool
Instance details Defined in GHC.Generics type DemoteRep Bool = Bool
data Vector Bool
Instance details Defined in Data.Vector.Unboxed.Base data Vector Bool = V_Bool (Vector Word8)
data MVector s Bool
Instance details Defined in Data.Vector.Unboxed.Base data MVector s Bool = MV_Bool (MVector s Word8)

data Char #

The character type Char is an enumeration whose values represent Unicode (or equivalently ISO/IEC 10646) code points (i.e. characters, see http://www.unicode.org/ for details). This set extends the ISO 8859-1 (Latin-1) character set (the first 256 characters), which is itself an extension of the ASCII character set (the first 128 characters). A character literal in Haskell has type Char.

To convert a Char to or from the corresponding Int value defined by Unicode, use toEnum and fromEnum from the Enum class respectively (or equivalently ord and chr).

Instances

Bounded Char	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: Char # maxBound :: Char #
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] #
Eq Char
Instance details Defined in GHC.Classes Methods (==) :: Char -> Char -> Bool # (/=) :: Char -> Char -> Bool #
Ord Char
Instance details Defined in GHC.Classes Methods compare :: Char -> Char -> Ordering # (<) :: Char -> Char -> Bool # (<=) :: Char -> Char -> Bool # (>) :: Char -> Char -> Bool # (>=) :: Char -> Char -> Bool # max :: Char -> Char -> Char # min :: Char -> Char -> Char #
Read Char	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Char # readList :: ReadS [Char] # readPrec :: ReadPrec Char # readListPrec :: ReadPrec [Char] #
Show Char	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> Char -> ShowS # show :: Char -> String # showList :: [Char] -> ShowS #
Ix Char	Since: base-2.1
Instance details Defined in GHC.Arr Methods range :: (Char, Char) -> [Char] # index :: (Char, Char) -> Char -> Int # unsafeIndex :: (Char, Char) -> Char -> Int inRange :: (Char, Char) -> Char -> Bool # rangeSize :: (Char, Char) -> Int # unsafeRangeSize :: (Char, Char) -> Int
Lift Char
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Char -> Q Exp #
Random Char
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Char, Char) -> g -> (Char, g) # random :: RandomGen g => g -> (Char, g) # randomRs :: RandomGen g => (Char, Char) -> g -> [Char] # randoms :: RandomGen g => g -> [Char] # randomRIO :: (Char, Char) -> IO Char # randomIO :: IO Char #
Hashable Char
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Char -> Int # hash :: Char -> Int #
ToJSON Char
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Char -> Value # toEncoding :: Char -> Encoding # toJSONList :: [Char] -> Value # toEncodingList :: [Char] -> Encoding #
ToJSONKey Char
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSONKey :: ToJSONKeyFunction Char # toJSONKeyList :: ToJSONKeyFunction [Char] #
FromJSON Char
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Char # parseJSONList :: Value -> Parser [Char] #
FromJSONKey Char
Instance details Defined in Data.Aeson.Types.FromJSON Methods fromJSONKey :: FromJSONKeyFunction Char # fromJSONKeyList :: FromJSONKeyFunction [Char] #
Storable Char	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Char -> Int # alignment :: Char -> Int # peekElemOff :: Ptr Char -> Int -> IO Char # pokeElemOff :: Ptr Char -> Int -> Char -> IO () # peekByteOff :: Ptr b -> Int -> IO Char # pokeByteOff :: Ptr b -> Int -> Char -> IO () # peek :: Ptr Char -> IO Char # poke :: Ptr Char -> Char -> IO () #
NFData Char
Instance details Defined in Control.DeepSeq Methods rnf :: Char -> () #
Prim Char
Instance details Defined in Data.Primitive.Types Methods sizeOf# :: Char -> Int# # alignment# :: Char -> Int# # indexByteArray# :: ByteArray# -> Int# -> Char # readByteArray# :: MutableByteArray# s -> Int# -> State# s -> (#State# s, Char#) # writeByteArray# :: MutableByteArray# s -> Int# -> Char -> State# s -> State# s # setByteArray# :: MutableByteArray# s -> Int# -> Int# -> Char -> State# s -> State# s # indexOffAddr# :: Addr# -> Int# -> Char # readOffAddr# :: Addr# -> Int# -> State# s -> (#State# s, Char#) # writeOffAddr# :: Addr# -> Int# -> Char -> State# s -> State# s # setOffAddr# :: Addr# -> Int# -> Int# -> Char -> State# s -> State# s #
Unbox Char
Instance details Defined in Data.Vector.Unboxed.Base
ErrorList Char
Instance details Defined in Control.Monad.Trans.Error Methods listMsg :: String -> [Char] #
Vector Vector Char
Instance details Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Char -> m (Vector Char) # basicUnsafeThaw :: PrimMonad m => Vector Char -> m (Mutable Vector (PrimState m) Char) # basicLength :: Vector Char -> Int # basicUnsafeSlice :: Int -> Int -> Vector Char -> Vector Char # basicUnsafeIndexM :: Monad m => Vector Char -> Int -> m Char # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Char -> Vector Char -> m () # elemseq :: Vector Char -> Char -> b -> b #
StringConv ByteString String
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> ByteString -> String #
StringConv ByteString String
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> ByteString -> String #
StringConv Text String
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> Text -> String #
StringConv Text String
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> Text -> String #
StringConv String ByteString
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> String -> ByteString #
StringConv String ByteString
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> String -> ByteString #
StringConv String Text
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> String -> Text #
StringConv String Text
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> String -> Text #
StringConv String String
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> String -> String #
MVector MVector Char
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Char -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Char -> MVector s Char # basicOverlaps :: MVector s Char -> MVector s Char -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Char) # basicInitialize :: PrimMonad m => MVector (PrimState m) Char -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> Char -> m (MVector (PrimState m) Char) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Char -> Int -> m Char # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Char -> Int -> Char -> m () # basicClear :: PrimMonad m => MVector (PrimState m) Char -> m () # basicSet :: PrimMonad m => MVector (PrimState m) Char -> Char -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Char -> MVector (PrimState m) Char -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Char -> MVector (PrimState m) Char -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Char -> Int -> m (MVector (PrimState m) Char) #
KnownSymbol n => Reifies (n :: Symbol) String
Instance details Defined in Data.Reflection Methods reflect :: proxy n -> String #
Cons Text Text Char Char
Instance details Defined in Control.Lens.Cons Methods _Cons :: Prism Text Text (Char, Text) (Char, Text) #
Cons Text Text Char Char
Instance details Defined in Control.Lens.Cons Methods _Cons :: Prism Text Text (Char, Text) (Char, Text) #
Snoc Text Text Char Char
Instance details Defined in Control.Lens.Cons Methods _Snoc :: Prism Text Text (Text, Char) (Text, Char) #
Snoc Text Text Char Char
Instance details Defined in Control.Lens.Cons Methods _Snoc :: Prism Text Text (Text, Char) (Text, Char) #
Generic1 (URec Char :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (URec Char) :: k -> Type # Methods from1 :: URec Char a -> Rep1 (URec Char) a # to1 :: Rep1 (URec Char) a -> URec Char a #
Print [Char]
Instance details Defined in Protolude.Show Methods hPutStr :: MonadIO m => Handle -> [Char] -> m () # putStr :: MonadIO m => [Char] -> m () # hPutStrLn :: MonadIO m => Handle -> [Char] -> m () # putStrLn :: MonadIO m => [Char] -> m () # putErrLn :: MonadIO m => [Char] -> m () #
Functor (URec Char :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec Char a -> URec Char b # (<$) :: a -> URec Char b -> URec Char a #
Foldable (URec Char :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => URec Char m -> m # foldMap :: Monoid m => (a -> m) -> URec Char a -> m # foldr :: (a -> b -> b) -> b -> URec Char a -> b # foldr' :: (a -> b -> b) -> b -> URec Char a -> b # foldl :: (b -> a -> b) -> b -> URec Char a -> b # foldl' :: (b -> a -> b) -> b -> URec Char a -> b # foldr1 :: (a -> a -> a) -> URec Char a -> a # foldl1 :: (a -> a -> a) -> URec Char a -> a # toList :: URec Char a -> [a] # null :: URec Char a -> Bool # length :: URec Char a -> Int # elem :: Eq a => a -> URec Char a -> Bool # maximum :: Ord a => URec Char a -> a # minimum :: Ord a => URec Char a -> a # sum :: Num a => URec Char a -> a # product :: Num a => URec Char a -> a #
Traversable (URec Char :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> URec Char a -> f (URec Char b) # sequenceA :: Applicative f => URec Char (f a) -> f (URec Char a) # mapM :: Monad m => (a -> m b) -> URec Char a -> m (URec Char b) # sequence :: Monad m => URec Char (m a) -> m (URec Char a) #
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 #
Ord (URec Char p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods compare :: URec Char p -> URec Char p -> Ordering # (<) :: URec Char p -> URec Char p -> Bool # (<=) :: URec Char p -> URec Char p -> Bool # (>) :: URec Char p -> URec Char p -> Bool # (>=) :: URec Char p -> URec Char p -> Bool # max :: URec Char p -> URec Char p -> URec Char p # min :: URec Char p -> URec Char p -> URec Char p #
Show (URec Char p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> URec Char p -> ShowS # show :: URec Char p -> String # showList :: [URec Char p] -> ShowS #
Generic (URec Char p)
Instance details Defined in GHC.Generics Associated Types type Rep (URec Char p) :: Type -> Type # Methods from :: URec Char p -> Rep (URec Char p) x # to :: Rep (URec Char p) x -> URec Char p #
data Vector Char
Instance details Defined in Data.Vector.Unboxed.Base data Vector Char = V_Char (Vector Char)
data URec Char (p :: k)	Used for marking occurrences of `Char#` Since: base-4.9.0.0
Instance details Defined in GHC.Generics data URec Char (p :: k) = UChar { uChar# :: Char# }
data MVector s Char
Instance details Defined in Data.Vector.Unboxed.Base data MVector s Char = MV_Char (MVector s Char)
type Rep1 (URec Char :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep1 (URec Char :: k -> Type) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UChar" PrefixI True) (S1 (MetaSel (Just "uChar#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UChar :: k -> Type)))
type Rep (URec Char p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep (URec Char p) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UChar" PrefixI True) (S1 (MetaSel (Just "uChar#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UChar :: Type -> Type)))

data Double #

Double-precision floating point numbers. It is desirable that this type be at least equal in range and precision to the IEEE double-precision type.

Constructors

D# Double#

Instances

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 #
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 #
Ord Double	Note that due to the presence of `NaN`, `Double`'s `Ord` instance does not satisfy reflexivity. `>>>` `0/0 <= (0/0 :: Double)`False Also note that, due to the same, `Ord`'s operator interactions are not respected by `Double`'s instance: `>>>` `(0/0 :: Double) > 1`False `>>>` `compare (0/0 :: Double) 1`GT
Instance details Defined in GHC.Classes Methods compare :: Double -> Double -> Ordering # (<) :: Double -> Double -> Bool # (<=) :: Double -> Double -> Bool # (>) :: Double -> Double -> Bool # (>=) :: Double -> Double -> Bool # max :: Double -> Double -> Double # min :: Double -> Double -> Double #
Read Double	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Double # readList :: ReadS [Double] # readPrec :: ReadPrec Double # readListPrec :: ReadPrec [Double] #
RealFloat Double	Since: base-2.1
Instance details Defined in GHC.Float Methods floatRadix :: Double -> Integer # floatDigits :: Double -> Int # floatRange :: Double -> (Int, Int) # decodeFloat :: Double -> (Integer, Int) # encodeFloat :: Integer -> Int -> Double # exponent :: Double -> Int # significand :: Double -> Double # scaleFloat :: Int -> Double -> Double # isNaN :: Double -> Bool # isInfinite :: Double -> Bool # isDenormalized :: Double -> Bool # isNegativeZero :: Double -> Bool # isIEEE :: Double -> Bool # atan2 :: Double -> Double -> Double #
Lift Double
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Double -> Q Exp #
Random Double
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Double, Double) -> g -> (Double, g) # random :: RandomGen g => g -> (Double, g) # randomRs :: RandomGen g => (Double, Double) -> g -> [Double] # randoms :: RandomGen g => g -> [Double] # randomRIO :: (Double, Double) -> IO Double # randomIO :: IO Double #
Hashable Double
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Double -> Int # hash :: Double -> Int #
ToJSON Double
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Double -> Value # toEncoding :: Double -> Encoding # toJSONList :: [Double] -> Value # toEncodingList :: [Double] -> Encoding #
ToJSONKey Double
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSONKey :: ToJSONKeyFunction Double # toJSONKeyList :: ToJSONKeyFunction [Double] #
FromJSON Double
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Double # parseJSONList :: Value -> Parser [Double] #
FromJSONKey Double
Instance details Defined in Data.Aeson.Types.FromJSON Methods fromJSONKey :: FromJSONKeyFunction Double # fromJSONKeyList :: FromJSONKeyFunction [Double] #
Storable Double	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Double -> Int # alignment :: Double -> Int # peekElemOff :: Ptr Double -> Int -> IO Double # pokeElemOff :: Ptr Double -> Int -> Double -> IO () # peekByteOff :: Ptr b -> Int -> IO Double # pokeByteOff :: Ptr b -> Int -> Double -> IO () # peek :: Ptr Double -> IO Double # poke :: Ptr Double -> Double -> IO () #
NFData Double
Instance details Defined in Control.DeepSeq Methods rnf :: Double -> () #
Prim Double
Instance details Defined in Data.Primitive.Types Methods sizeOf# :: Double -> Int# # alignment# :: Double -> Int# # indexByteArray# :: ByteArray# -> Int# -> Double # readByteArray# :: MutableByteArray# s -> Int# -> State# s -> (#State# s, Double#) # writeByteArray# :: MutableByteArray# s -> Int# -> Double -> State# s -> State# s # setByteArray# :: MutableByteArray# s -> Int# -> Int# -> Double -> State# s -> State# s # indexOffAddr# :: Addr# -> Int# -> Double # readOffAddr# :: Addr# -> Int# -> State# s -> (#State# s, Double#) # writeOffAddr# :: Addr# -> Int# -> Double -> State# s -> State# s # setOffAddr# :: Addr# -> Int# -> Int# -> Double -> State# s -> State# s #
Unbox Double
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Double
Instance details Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Double -> m (Vector Double) # basicUnsafeThaw :: PrimMonad m => Vector Double -> m (Mutable Vector (PrimState m) Double) # basicLength :: Vector Double -> Int # basicUnsafeSlice :: Int -> Int -> Vector Double -> Vector Double # basicUnsafeIndexM :: Monad m => Vector Double -> Int -> m Double # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Double -> Vector Double -> m () # elemseq :: Vector Double -> Double -> b -> b #
MVector MVector Double
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Double -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Double -> MVector s Double # basicOverlaps :: MVector s Double -> MVector s Double -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Double) # basicInitialize :: PrimMonad m => MVector (PrimState m) Double -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> Double -> m (MVector (PrimState m) Double) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Double -> Int -> m Double # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Double -> Int -> Double -> m () # basicClear :: PrimMonad m => MVector (PrimState m) Double -> m () # basicSet :: PrimMonad m => MVector (PrimState m) Double -> Double -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Double -> MVector (PrimState m) Double -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Double -> MVector (PrimState m) Double -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Double -> Int -> m (MVector (PrimState m) Double) #
Generic1 (URec Double :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (URec Double) :: k -> Type # Methods from1 :: URec Double a -> Rep1 (URec Double) a # to1 :: Rep1 (URec Double) a -> URec Double a #
Functor (URec Double :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec Double a -> URec Double b # (<$) :: a -> URec Double b -> URec Double a #
Foldable (URec Double :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => URec Double m -> m # foldMap :: Monoid m => (a -> m) -> URec Double a -> m # foldr :: (a -> b -> b) -> b -> URec Double a -> b # foldr' :: (a -> b -> b) -> b -> URec Double a -> b # foldl :: (b -> a -> b) -> b -> URec Double a -> b # foldl' :: (b -> a -> b) -> b -> URec Double a -> b # foldr1 :: (a -> a -> a) -> URec Double a -> a # foldl1 :: (a -> a -> a) -> URec Double a -> a # toList :: URec Double a -> [a] # null :: URec Double a -> Bool # length :: URec Double a -> Int # elem :: Eq a => a -> URec Double a -> Bool # maximum :: Ord a => URec Double a -> a # minimum :: Ord a => URec Double a -> a # sum :: Num a => URec Double a -> a # product :: Num a => URec Double a -> a #
Traversable (URec Double :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> URec Double a -> f (URec Double b) # sequenceA :: Applicative f => URec Double (f a) -> f (URec Double a) # mapM :: Monad m => (a -> m b) -> URec Double a -> m (URec Double b) # sequence :: Monad m => URec Double (m a) -> m (URec Double a) #
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 #
Ord (URec Double p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods compare :: URec Double p -> URec Double p -> Ordering # (<) :: URec Double p -> URec Double p -> Bool # (<=) :: URec Double p -> URec Double p -> Bool # (>) :: URec Double p -> URec Double p -> Bool # (>=) :: URec Double p -> URec Double p -> Bool # max :: URec Double p -> URec Double p -> URec Double p # min :: URec Double p -> URec Double p -> URec Double p #
Show (URec Double p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> URec Double p -> ShowS # show :: URec Double p -> String # showList :: [URec Double p] -> ShowS #
Generic (URec Double p)
Instance details Defined in GHC.Generics Associated Types type Rep (URec Double p) :: Type -> Type # Methods from :: URec Double p -> Rep (URec Double p) x # to :: Rep (URec Double p) x -> URec Double p #
data Vector Double
Instance details Defined in Data.Vector.Unboxed.Base data Vector Double = V_Double (Vector Double)
data URec Double (p :: k)	Used for marking occurrences of `Double#` Since: base-4.9.0.0
Instance details Defined in GHC.Generics data URec Double (p :: k) = UDouble { uDouble# :: Double# }
data MVector s Double
Instance details Defined in Data.Vector.Unboxed.Base data MVector s Double = MV_Double (MVector s Double)
type Rep1 (URec Double :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep1 (URec Double :: k -> Type) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UDouble" PrefixI True) (S1 (MetaSel (Just "uDouble#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UDouble :: k -> Type)))
type Rep (URec Double p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep (URec Double p) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UDouble" PrefixI True) (S1 (MetaSel (Just "uDouble#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UDouble :: Type -> Type)))

data Float #

Single-precision floating point numbers. It is desirable that this type be at least equal in range and precision to the IEEE single-precision type.

Constructors

F# Float#

Instances

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 substitutivity: `>>>` `0 == (-0 :: Float)`True `>>>` `recip 0 == recip (-0 :: Float)`False
Instance details Defined in GHC.Classes Methods (==) :: Float -> Float -> Bool # (/=) :: Float -> Float -> Bool #
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 #
Ord Float	Note that due to the presence of `NaN`, `Float`'s `Ord` instance does not satisfy reflexivity. `>>>` `0/0 <= (0/0 :: Float)`False Also note that, due to the same, `Ord`'s operator interactions are not respected by `Float`'s instance: `>>>` `(0/0 :: Float) > 1`False `>>>` `compare (0/0 :: Float) 1`GT
Instance details Defined in GHC.Classes Methods compare :: Float -> Float -> Ordering # (<) :: Float -> Float -> Bool # (<=) :: Float -> Float -> Bool # (>) :: Float -> Float -> Bool # (>=) :: Float -> Float -> Bool # max :: Float -> Float -> Float # min :: Float -> Float -> Float #
Read Float	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Float # readList :: ReadS [Float] # readPrec :: ReadPrec Float # readListPrec :: ReadPrec [Float] #
RealFloat Float	Since: base-2.1
Instance details Defined in GHC.Float Methods floatRadix :: Float -> Integer # floatDigits :: Float -> Int # floatRange :: Float -> (Int, Int) # decodeFloat :: Float -> (Integer, Int) # encodeFloat :: Integer -> Int -> Float # exponent :: Float -> Int # significand :: Float -> Float # scaleFloat :: Int -> Float -> Float # isNaN :: Float -> Bool # isInfinite :: Float -> Bool # isDenormalized :: Float -> Bool # isNegativeZero :: Float -> Bool # isIEEE :: Float -> Bool # atan2 :: Float -> Float -> Float #
Lift Float
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Float -> Q Exp #
Random Float
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Float, Float) -> g -> (Float, g) # random :: RandomGen g => g -> (Float, g) # randomRs :: RandomGen g => (Float, Float) -> g -> [Float] # randoms :: RandomGen g => g -> [Float] # randomRIO :: (Float, Float) -> IO Float # randomIO :: IO Float #
Hashable Float
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Float -> Int # hash :: Float -> Int #
ToJSON Float
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Float -> Value # toEncoding :: Float -> Encoding # toJSONList :: [Float] -> Value # toEncodingList :: [Float] -> Encoding #
ToJSONKey Float
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSONKey :: ToJSONKeyFunction Float # toJSONKeyList :: ToJSONKeyFunction [Float] #
FromJSON Float
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Float # parseJSONList :: Value -> Parser [Float] #
FromJSONKey Float
Instance details Defined in Data.Aeson.Types.FromJSON Methods fromJSONKey :: FromJSONKeyFunction Float # fromJSONKeyList :: FromJSONKeyFunction [Float] #
Storable Float	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Float -> Int # alignment :: Float -> Int # peekElemOff :: Ptr Float -> Int -> IO Float # pokeElemOff :: Ptr Float -> Int -> Float -> IO () # peekByteOff :: Ptr b -> Int -> IO Float # pokeByteOff :: Ptr b -> Int -> Float -> IO () # peek :: Ptr Float -> IO Float # poke :: Ptr Float -> Float -> IO () #
NFData Float
Instance details Defined in Control.DeepSeq Methods rnf :: Float -> () #
Prim Float
Instance details Defined in Data.Primitive.Types Methods sizeOf# :: Float -> Int# # alignment# :: Float -> Int# # indexByteArray# :: ByteArray# -> Int# -> Float # readByteArray# :: MutableByteArray# s -> Int# -> State# s -> (#State# s, Float#) # writeByteArray# :: MutableByteArray# s -> Int# -> Float -> State# s -> State# s # setByteArray# :: MutableByteArray# s -> Int# -> Int# -> Float -> State# s -> State# s # indexOffAddr# :: Addr# -> Int# -> Float # readOffAddr# :: Addr# -> Int# -> State# s -> (#State# s, Float#) # writeOffAddr# :: Addr# -> Int# -> Float -> State# s -> State# s # setOffAddr# :: Addr# -> Int# -> Int# -> Float -> State# s -> State# s #
Unbox Float
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Float
Instance details Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Float -> m (Vector Float) # basicUnsafeThaw :: PrimMonad m => Vector Float -> m (Mutable Vector (PrimState m) Float) # basicLength :: Vector Float -> Int # basicUnsafeSlice :: Int -> Int -> Vector Float -> Vector Float # basicUnsafeIndexM :: Monad m => Vector Float -> Int -> m Float # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Float -> Vector Float -> m () # elemseq :: Vector Float -> Float -> b -> b #
MVector MVector Float
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Float -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Float -> MVector s Float # basicOverlaps :: MVector s Float -> MVector s Float -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Float) # basicInitialize :: PrimMonad m => MVector (PrimState m) Float -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> Float -> m (MVector (PrimState m) Float) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Float -> Int -> m Float # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Float -> Int -> Float -> m () # basicClear :: PrimMonad m => MVector (PrimState m) Float -> m () # basicSet :: PrimMonad m => MVector (PrimState m) Float -> Float -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Float -> MVector (PrimState m) Float -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Float -> MVector (PrimState m) Float -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Float -> Int -> m (MVector (PrimState m) Float) #
Generic1 (URec Float :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (URec Float) :: k -> Type # Methods from1 :: URec Float a -> Rep1 (URec Float) a # to1 :: Rep1 (URec Float) a -> URec Float a #
Functor (URec Float :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec Float a -> URec Float b # (<$) :: a -> URec Float b -> URec Float a #
Foldable (URec Float :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => URec Float m -> m # foldMap :: Monoid m => (a -> m) -> URec Float a -> m # foldr :: (a -> b -> b) -> b -> URec Float a -> b # foldr' :: (a -> b -> b) -> b -> URec Float a -> b # foldl :: (b -> a -> b) -> b -> URec Float a -> b # foldl' :: (b -> a -> b) -> b -> URec Float a -> b # foldr1 :: (a -> a -> a) -> URec Float a -> a # foldl1 :: (a -> a -> a) -> URec Float a -> a # toList :: URec Float a -> [a] # null :: URec Float a -> Bool # length :: URec Float a -> Int # elem :: Eq a => a -> URec Float a -> Bool # maximum :: Ord a => URec Float a -> a # minimum :: Ord a => URec Float a -> a # sum :: Num a => URec Float a -> a # product :: Num a => URec Float a -> a #
Traversable (URec Float :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> URec Float a -> f (URec Float b) # sequenceA :: Applicative f => URec Float (f a) -> f (URec Float a) # mapM :: Monad m => (a -> m b) -> URec Float a -> m (URec Float b) # sequence :: Monad m => URec Float (m a) -> m (URec Float a) #
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 #
Ord (URec Float p)
Instance details Defined in GHC.Generics Methods compare :: URec Float p -> URec Float p -> Ordering # (<) :: URec Float p -> URec Float p -> Bool # (<=) :: URec Float p -> URec Float p -> Bool # (>) :: URec Float p -> URec Float p -> Bool # (>=) :: URec Float p -> URec Float p -> Bool # max :: URec Float p -> URec Float p -> URec Float p # min :: URec Float p -> URec Float p -> URec Float p #
Show (URec Float p)
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> URec Float p -> ShowS # show :: URec Float p -> String # showList :: [URec Float p] -> ShowS #
Generic (URec Float p)
Instance details Defined in GHC.Generics Associated Types type Rep (URec Float p) :: Type -> Type # Methods from :: URec Float p -> Rep (URec Float p) x # to :: Rep (URec Float p) x -> URec Float p #
data Vector Float
Instance details Defined in Data.Vector.Unboxed.Base data Vector Float = V_Float (Vector Float)
data URec Float (p :: k)	Used for marking occurrences of `Float#` Since: base-4.9.0.0
Instance details Defined in GHC.Generics data URec Float (p :: k) = UFloat { uFloat# :: Float# }
data MVector s Float
Instance details Defined in Data.Vector.Unboxed.Base data MVector s Float = MV_Float (MVector s Float)
type Rep1 (URec Float :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep1 (URec Float :: k -> Type) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UFloat" PrefixI True) (S1 (MetaSel (Just "uFloat#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UFloat :: k -> Type)))
type Rep (URec Float p)
Instance details Defined in GHC.Generics type Rep (URec Float p) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UFloat" PrefixI True) (S1 (MetaSel (Just "uFloat#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UFloat :: Type -> Type)))

data Int #

A fixed-precision integer type with at least the range [-2^29 .. 2^29-1]. The exact range for a given implementation can be determined by using minBound and maxBound from the Bounded class.

Instances

Bounded Int	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: Int # maxBound :: Int #
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] #
Eq Int
Instance details Defined in GHC.Classes Methods (==) :: Int -> Int -> Bool # (/=) :: Int -> Int -> Bool #
Integral Int	Since: base-2.0.1
Instance details Defined in GHC.Real Methods quot :: Int -> Int -> Int # rem :: Int -> Int -> Int # div :: Int -> Int -> Int # mod :: Int -> Int -> Int # quotRem :: Int -> Int -> (Int, Int) # divMod :: Int -> Int -> (Int, Int) # toInteger :: Int -> Integer #
Num Int	Since: base-2.1
Instance details Defined in GHC.Num Methods (+) :: Int -> Int -> Int # (-) :: Int -> Int -> Int # (*) :: Int -> Int -> Int # negate :: Int -> Int # abs :: Int -> Int # signum :: Int -> Int # fromInteger :: Integer -> Int #
Ord Int
Instance details Defined in GHC.Classes Methods compare :: Int -> Int -> Ordering # (<) :: Int -> Int -> Bool # (<=) :: Int -> Int -> Bool # (>) :: Int -> Int -> Bool # (>=) :: Int -> Int -> Bool # max :: Int -> Int -> Int # min :: Int -> Int -> Int #
Read Int	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Int # readList :: ReadS [Int] # readPrec :: ReadPrec Int # readListPrec :: ReadPrec [Int] #
Real Int	Since: base-2.0.1
Instance details Defined in GHC.Real Methods toRational :: Int -> Rational #
Show Int	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> Int -> ShowS # show :: Int -> String # showList :: [Int] -> ShowS #
Ix Int	Since: base-2.1
Instance details Defined in GHC.Arr Methods range :: (Int, Int) -> [Int] # index :: (Int, Int) -> Int -> Int # unsafeIndex :: (Int, Int) -> Int -> Int inRange :: (Int, Int) -> Int -> Bool # rangeSize :: (Int, Int) -> Int # unsafeRangeSize :: (Int, Int) -> Int
Lift Int
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Int -> Q Exp #
Random Int
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Int, Int) -> g -> (Int, g) # random :: RandomGen g => g -> (Int, g) # randomRs :: RandomGen g => (Int, Int) -> g -> [Int] # randoms :: RandomGen g => g -> [Int] # randomRIO :: (Int, Int) -> IO Int # randomIO :: IO Int #
Hashable Int
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Int -> Int # hash :: Int -> Int #
ToJSON Int
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Int -> Value # toEncoding :: Int -> Encoding # toJSONList :: [Int] -> Value # toEncodingList :: [Int] -> Encoding #
ToJSONKey Int
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSONKey :: ToJSONKeyFunction Int # toJSONKeyList :: ToJSONKeyFunction [Int] #
FromJSON Int
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Int # parseJSONList :: Value -> Parser [Int] #
FromJSONKey Int
Instance details Defined in Data.Aeson.Types.FromJSON Methods fromJSONKey :: FromJSONKeyFunction Int # fromJSONKeyList :: FromJSONKeyFunction [Int] #
Storable Int	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Int -> Int # alignment :: Int -> Int # peekElemOff :: Ptr Int -> Int -> IO Int # pokeElemOff :: Ptr Int -> Int -> Int -> IO () # peekByteOff :: Ptr b -> Int -> IO Int # pokeByteOff :: Ptr b -> Int -> Int -> IO () # peek :: Ptr Int -> IO Int # poke :: Ptr Int -> Int -> IO () #
Bits Int	Since: base-2.1
Instance details Defined in Data.Bits Methods (.&.) :: Int -> Int -> Int # (.\|.) :: Int -> Int -> Int # xor :: Int -> Int -> Int # complement :: Int -> Int # shift :: Int -> Int -> Int # rotate :: Int -> Int -> Int # zeroBits :: Int # bit :: Int -> Int # setBit :: Int -> Int -> Int # clearBit :: Int -> Int -> Int # complementBit :: Int -> Int -> Int # testBit :: Int -> Int -> Bool # bitSizeMaybe :: Int -> Maybe Int # bitSize :: Int -> Int # isSigned :: Int -> Bool # shiftL :: Int -> Int -> Int # unsafeShiftL :: Int -> Int -> Int # shiftR :: Int -> Int -> Int # unsafeShiftR :: Int -> Int -> Int # rotateL :: Int -> Int -> Int # rotateR :: Int -> Int -> Int # popCount :: Int -> Int #
FiniteBits Int	Since: base-4.6.0.0
Instance details Defined in Data.Bits Methods finiteBitSize :: Int -> Int # countLeadingZeros :: Int -> Int # countTrailingZeros :: Int -> Int #
NFData Int
Instance details Defined in Control.DeepSeq Methods rnf :: Int -> () #
Prim Int
Instance details Defined in Data.Primitive.Types Methods sizeOf# :: Int -> Int# # alignment# :: Int -> Int# # indexByteArray# :: ByteArray# -> Int# -> Int # readByteArray# :: MutableByteArray# s -> Int# -> State# s -> (#State# s, Int#) # writeByteArray# :: MutableByteArray# s -> Int# -> Int -> State# s -> State# s # setByteArray# :: MutableByteArray# s -> Int# -> Int# -> Int -> State# s -> State# s # indexOffAddr# :: Addr# -> Int# -> Int # readOffAddr# :: Addr# -> Int# -> State# s -> (#State# s, Int#) # writeOffAddr# :: Addr# -> Int# -> Int -> State# s -> State# s # setOffAddr# :: Addr# -> Int# -> Int# -> Int -> State# s -> State# s #
Unbox Int
Instance details Defined in Data.Vector.Unboxed.Base
ByteSource Int
Instance details Defined in Data.UUID.Types.Internal.Builder Methods (/-/) :: ByteSink Int g -> Int -> g
Vector Vector Int
Instance details Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Int -> m (Vector Int) # basicUnsafeThaw :: PrimMonad m => Vector Int -> m (Mutable Vector (PrimState m) Int) # basicLength :: Vector Int -> Int # basicUnsafeSlice :: Int -> Int -> Vector Int -> Vector Int # basicUnsafeIndexM :: Monad m => Vector Int -> Int -> m Int # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Int -> Vector Int -> m () # elemseq :: Vector Int -> Int -> b -> b #
FunctorWithIndex Int []	The position in the list is available as the index.
Instance details Defined in Control.Lens.Indexed Methods imap :: (Int -> a -> b) -> [a] -> [b] # imapped :: IndexedSetter Int [a] [b] a b #
FunctorWithIndex Int ZipList	Same instance as for `[]`.
Instance details Defined in Control.Lens.Indexed Methods imap :: (Int -> a -> b) -> ZipList a -> ZipList b # imapped :: IndexedSetter Int (ZipList a) (ZipList b) a b #
FunctorWithIndex Int NonEmpty
Instance details Defined in Control.Lens.Indexed Methods imap :: (Int -> a -> b) -> NonEmpty a -> NonEmpty b # imapped :: IndexedSetter Int (NonEmpty a) (NonEmpty b) a b #
FunctorWithIndex Int IntMap
Instance details Defined in Control.Lens.Indexed Methods imap :: (Int -> a -> b) -> IntMap a -> IntMap b # imapped :: IndexedSetter Int (IntMap a) (IntMap b) a b #
FunctorWithIndex Int Seq	The position in the `Seq` is available as the index.
Instance details Defined in Control.Lens.Indexed Methods imap :: (Int -> a -> b) -> Seq a -> Seq b # imapped :: IndexedSetter Int (Seq a) (Seq b) a b #
FunctorWithIndex Int Vector
Instance details Defined in Control.Lens.Indexed Methods imap :: (Int -> a -> b) -> Vector a -> Vector b # imapped :: IndexedSetter Int (Vector a) (Vector b) a b #
FoldableWithIndex Int []
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Int -> a -> m) -> [a] -> m # ifolded :: IndexedFold Int [a] a # ifoldr :: (Int -> a -> b -> b) -> b -> [a] -> b # ifoldl :: (Int -> b -> a -> b) -> b -> [a] -> b # ifoldr' :: (Int -> a -> b -> b) -> b -> [a] -> b # ifoldl' :: (Int -> b -> a -> b) -> b -> [a] -> b #
FoldableWithIndex Int ZipList
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Int -> a -> m) -> ZipList a -> m # ifolded :: IndexedFold Int (ZipList a) a # ifoldr :: (Int -> a -> b -> b) -> b -> ZipList a -> b # ifoldl :: (Int -> b -> a -> b) -> b -> ZipList a -> b # ifoldr' :: (Int -> a -> b -> b) -> b -> ZipList a -> b # ifoldl' :: (Int -> b -> a -> b) -> b -> ZipList a -> b #
FoldableWithIndex Int NonEmpty
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Int -> a -> m) -> NonEmpty a -> m # ifolded :: IndexedFold Int (NonEmpty a) a # ifoldr :: (Int -> a -> b -> b) -> b -> NonEmpty a -> b # ifoldl :: (Int -> b -> a -> b) -> b -> NonEmpty a -> b # ifoldr' :: (Int -> a -> b -> b) -> b -> NonEmpty a -> b # ifoldl' :: (Int -> b -> a -> b) -> b -> NonEmpty a -> b #
FoldableWithIndex Int IntMap
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Int -> a -> m) -> IntMap a -> m # ifolded :: IndexedFold Int (IntMap a) a # ifoldr :: (Int -> a -> b -> b) -> b -> IntMap a -> b # ifoldl :: (Int -> b -> a -> b) -> b -> IntMap a -> b # ifoldr' :: (Int -> a -> b -> b) -> b -> IntMap a -> b # ifoldl' :: (Int -> b -> a -> b) -> b -> IntMap a -> b #
FoldableWithIndex Int Seq
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Int -> a -> m) -> Seq a -> m # ifolded :: IndexedFold Int (Seq a) a # ifoldr :: (Int -> a -> b -> b) -> b -> Seq a -> b # ifoldl :: (Int -> b -> a -> b) -> b -> Seq a -> b # ifoldr' :: (Int -> a -> b -> b) -> b -> Seq a -> b # ifoldl' :: (Int -> b -> a -> b) -> b -> Seq a -> b #
FoldableWithIndex Int Vector
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Int -> a -> m) -> Vector a -> m # ifolded :: IndexedFold Int (Vector a) a # ifoldr :: (Int -> a -> b -> b) -> b -> Vector a -> b # ifoldl :: (Int -> b -> a -> b) -> b -> Vector a -> b # ifoldr' :: (Int -> a -> b -> b) -> b -> Vector a -> b # ifoldl' :: (Int -> b -> a -> b) -> b -> Vector a -> b #
TraversableWithIndex Int []
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => (Int -> a -> f b) -> [a] -> f [b] # itraversed :: IndexedTraversal Int [a] [b] a b #
TraversableWithIndex Int ZipList
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => (Int -> a -> f b) -> ZipList a -> f (ZipList b) # itraversed :: IndexedTraversal Int (ZipList a) (ZipList b) a b #
TraversableWithIndex Int NonEmpty
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => (Int -> a -> f b) -> NonEmpty a -> f (NonEmpty b) # itraversed :: IndexedTraversal Int (NonEmpty a) (NonEmpty b) a b #
TraversableWithIndex Int IntMap
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => (Int -> a -> f b) -> IntMap a -> f (IntMap b) # itraversed :: IndexedTraversal Int (IntMap a) (IntMap b) a b #
TraversableWithIndex Int Seq
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => (Int -> a -> f b) -> Seq a -> f (Seq b) # itraversed :: IndexedTraversal Int (Seq a) (Seq b) a b #
TraversableWithIndex Int Vector
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => (Int -> a -> f b) -> Vector a -> f (Vector b) # itraversed :: IndexedTraversal Int (Vector a) (Vector b) a b #
MVector MVector Int
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Int -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Int -> MVector s Int # basicOverlaps :: MVector s Int -> MVector s Int -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Int) # basicInitialize :: PrimMonad m => MVector (PrimState m) Int -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> Int -> m (MVector (PrimState m) Int) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Int -> Int -> m Int # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Int -> Int -> Int -> m () # basicClear :: PrimMonad m => MVector (PrimState m) Int -> m () # basicSet :: PrimMonad m => MVector (PrimState m) Int -> Int -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Int -> MVector (PrimState m) Int -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Int -> MVector (PrimState m) Int -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Int -> Int -> m (MVector (PrimState m) Int) #
Generic1 (URec Int :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (URec Int) :: k -> Type # Methods from1 :: URec Int a -> Rep1 (URec Int) a # to1 :: Rep1 (URec Int) a -> URec Int a #
FunctorWithIndex [Int] Tree
Instance details Defined in Control.Lens.Indexed Methods imap :: ([Int] -> a -> b) -> Tree a -> Tree b # imapped :: IndexedSetter [Int] (Tree a) (Tree b) a b #
FoldableWithIndex [Int] Tree
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => ([Int] -> a -> m) -> Tree a -> m # ifolded :: IndexedFold [Int] (Tree a) a # ifoldr :: ([Int] -> a -> b -> b) -> b -> Tree a -> b # ifoldl :: ([Int] -> b -> a -> b) -> b -> Tree a -> b # ifoldr' :: ([Int] -> a -> b -> b) -> b -> Tree a -> b # ifoldl' :: ([Int] -> b -> a -> b) -> b -> Tree a -> b #
TraversableWithIndex [Int] Tree
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => ([Int] -> a -> f b) -> Tree a -> f (Tree b) # itraversed :: IndexedTraversal [Int] (Tree a) (Tree b) a b #
Reifies Z Int
Instance details Defined in Data.Reflection Methods reflect :: proxy Z -> Int #
Reifies n Int => Reifies (D n :: Type) Int
Instance details Defined in Data.Reflection Methods reflect :: proxy (D n) -> Int #
Reifies n Int => Reifies (SD n :: Type) Int
Instance details Defined in Data.Reflection Methods reflect :: proxy (SD n) -> Int #
Reifies n Int => Reifies (PD n :: Type) Int
Instance details Defined in Data.Reflection Methods reflect :: proxy (PD n) -> Int #
Functor (URec Int :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec Int a -> URec Int b # (<$) :: a -> URec Int b -> URec Int a #
Foldable (URec Int :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => URec Int m -> m # foldMap :: Monoid m => (a -> m) -> URec Int a -> m # foldr :: (a -> b -> b) -> b -> URec Int a -> b # foldr' :: (a -> b -> b) -> b -> URec Int a -> b # foldl :: (b -> a -> b) -> b -> URec Int a -> b # foldl' :: (b -> a -> b) -> b -> URec Int a -> b # foldr1 :: (a -> a -> a) -> URec Int a -> a # foldl1 :: (a -> a -> a) -> URec Int a -> a # toList :: URec Int a -> [a] # null :: URec Int a -> Bool # length :: URec Int a -> Int # elem :: Eq a => a -> URec Int a -> Bool # maximum :: Ord a => URec Int a -> a # minimum :: Ord a => URec Int a -> a # sum :: Num a => URec Int a -> a # product :: Num a => URec Int a -> a #
Traversable (URec Int :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> URec Int a -> f (URec Int b) # sequenceA :: Applicative f => URec Int (f a) -> f (URec Int a) # mapM :: Monad m => (a -> m b) -> URec Int a -> m (URec Int b) # sequence :: Monad m => URec Int (m a) -> m (URec Int a) #
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 #
Ord (URec Int p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods compare :: URec Int p -> URec Int p -> Ordering # (<) :: URec Int p -> URec Int p -> Bool # (<=) :: URec Int p -> URec Int p -> Bool # (>) :: URec Int p -> URec Int p -> Bool # (>=) :: URec Int p -> URec Int p -> Bool # max :: URec Int p -> URec Int p -> URec Int p # min :: URec Int p -> URec Int p -> URec Int p #
Show (URec Int p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> URec Int p -> ShowS # show :: URec Int p -> String # showList :: [URec Int p] -> ShowS #
Generic (URec Int p)
Instance details Defined in GHC.Generics Associated Types type Rep (URec Int p) :: Type -> Type # Methods from :: URec Int p -> Rep (URec Int p) x # to :: Rep (URec Int p) x -> URec Int p #
data Vector Int
Instance details Defined in Data.Vector.Unboxed.Base data Vector Int = V_Int (Vector Int)
data URec Int (p :: k)	Used for marking occurrences of `Int#` Since: base-4.9.0.0
Instance details Defined in GHC.Generics data URec Int (p :: k) = UInt { uInt# :: Int# }
type ByteSink Int g
Instance details Defined in Data.UUID.Types.Internal.Builder type ByteSink Int g = Takes4Bytes g
data MVector s Int
Instance details Defined in Data.Vector.Unboxed.Base data MVector s Int = MV_Int (MVector s Int)
type Rep1 (URec Int :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep1 (URec Int :: k -> Type) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UInt" PrefixI True) (S1 (MetaSel (Just "uInt#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UInt :: k -> Type)))
type Rep (URec Int p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep (URec Int p) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UInt" PrefixI True) (S1 (MetaSel (Just "uInt#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UInt :: Type -> Type)))

data Int8 #

8-bit signed integer type

Instances

Bounded Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods minBound :: Int8 # maxBound :: Int8 #
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] #
Eq Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods (==) :: Int8 -> Int8 -> Bool # (/=) :: Int8 -> Int8 -> Bool #
Integral Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods quot :: Int8 -> Int8 -> Int8 # rem :: Int8 -> Int8 -> Int8 # div :: Int8 -> Int8 -> Int8 # mod :: Int8 -> Int8 -> Int8 # quotRem :: Int8 -> Int8 -> (Int8, Int8) # divMod :: Int8 -> Int8 -> (Int8, Int8) # toInteger :: Int8 -> Integer #
Num Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods (+) :: Int8 -> Int8 -> Int8 # (-) :: Int8 -> Int8 -> Int8 # (*) :: Int8 -> Int8 -> Int8 # negate :: Int8 -> Int8 # abs :: Int8 -> Int8 # signum :: Int8 -> Int8 # fromInteger :: Integer -> Int8 #
Ord Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods compare :: Int8 -> Int8 -> Ordering # (<) :: Int8 -> Int8 -> Bool # (<=) :: Int8 -> Int8 -> Bool # (>) :: Int8 -> Int8 -> Bool # (>=) :: Int8 -> Int8 -> Bool # max :: Int8 -> Int8 -> Int8 # min :: Int8 -> Int8 -> Int8 #
Read Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods readsPrec :: Int -> ReadS Int8 # readList :: ReadS [Int8] # readPrec :: ReadPrec Int8 # readListPrec :: ReadPrec [Int8] #
Real Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods toRational :: Int8 -> Rational #
Show Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods showsPrec :: Int -> Int8 -> ShowS # show :: Int8 -> String # showList :: [Int8] -> ShowS #
Ix Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods range :: (Int8, Int8) -> [Int8] # index :: (Int8, Int8) -> Int8 -> Int # unsafeIndex :: (Int8, Int8) -> Int8 -> Int inRange :: (Int8, Int8) -> Int8 -> Bool # rangeSize :: (Int8, Int8) -> Int # unsafeRangeSize :: (Int8, Int8) -> Int
Lift Int8
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Int8 -> Q Exp #
Random Int8
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Int8, Int8) -> g -> (Int8, g) # random :: RandomGen g => g -> (Int8, g) # randomRs :: RandomGen g => (Int8, Int8) -> g -> [Int8] # randoms :: RandomGen g => g -> [Int8] # randomRIO :: (Int8, Int8) -> IO Int8 # randomIO :: IO Int8 #
Hashable Int8
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Int8 -> Int # hash :: Int8 -> Int #
ToJSON Int8
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Int8 -> Value # toEncoding :: Int8 -> Encoding # toJSONList :: [Int8] -> Value # toEncodingList :: [Int8] -> Encoding #
ToJSONKey Int8
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSONKey :: ToJSONKeyFunction Int8 # toJSONKeyList :: ToJSONKeyFunction [Int8] #
FromJSON Int8
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Int8 # parseJSONList :: Value -> Parser [Int8] #
FromJSONKey Int8
Instance details Defined in Data.Aeson.Types.FromJSON Methods fromJSONKey :: FromJSONKeyFunction Int8 # fromJSONKeyList :: FromJSONKeyFunction [Int8] #
Storable Int8	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Int8 -> Int # alignment :: Int8 -> Int # peekElemOff :: Ptr Int8 -> Int -> IO Int8 # pokeElemOff :: Ptr Int8 -> Int -> Int8 -> IO () # peekByteOff :: Ptr b -> Int -> IO Int8 # pokeByteOff :: Ptr b -> Int -> Int8 -> IO () # peek :: Ptr Int8 -> IO Int8 # poke :: Ptr Int8 -> Int8 -> IO () #
Bits Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods (.&.) :: Int8 -> Int8 -> Int8 # (.\|.) :: Int8 -> Int8 -> Int8 # xor :: Int8 -> Int8 -> Int8 # complement :: Int8 -> Int8 # shift :: Int8 -> Int -> Int8 # rotate :: Int8 -> Int -> Int8 # zeroBits :: Int8 # bit :: Int -> Int8 # setBit :: Int8 -> Int -> Int8 # clearBit :: Int8 -> Int -> Int8 # complementBit :: Int8 -> Int -> Int8 # testBit :: Int8 -> Int -> Bool # bitSizeMaybe :: Int8 -> Maybe Int # bitSize :: Int8 -> Int # isSigned :: Int8 -> Bool # shiftL :: Int8 -> Int -> Int8 # unsafeShiftL :: Int8 -> Int -> Int8 # shiftR :: Int8 -> Int -> Int8 # unsafeShiftR :: Int8 -> Int -> Int8 # rotateL :: Int8 -> Int -> Int8 # rotateR :: Int8 -> Int -> Int8 # popCount :: Int8 -> Int #
FiniteBits Int8	Since: base-4.6.0.0
Instance details Defined in GHC.Int Methods finiteBitSize :: Int8 -> Int # countLeadingZeros :: Int8 -> Int # countTrailingZeros :: Int8 -> Int #
NFData Int8
Instance details Defined in Control.DeepSeq Methods rnf :: Int8 -> () #
Prim Int8
Instance details Defined in Data.Primitive.Types Methods sizeOf# :: Int8 -> Int# # alignment# :: Int8 -> Int# # indexByteArray# :: ByteArray# -> Int# -> Int8 # readByteArray# :: MutableByteArray# s -> Int# -> State# s -> (#State# s, Int8#) # writeByteArray# :: MutableByteArray# s -> Int# -> Int8 -> State# s -> State# s # setByteArray# :: MutableByteArray# s -> Int# -> Int# -> Int8 -> State# s -> State# s # indexOffAddr# :: Addr# -> Int# -> Int8 # readOffAddr# :: Addr# -> Int# -> State# s -> (#State# s, Int8#) # writeOffAddr# :: Addr# -> Int# -> Int8 -> State# s -> State# s # setOffAddr# :: Addr# -> Int# -> Int# -> Int8 -> State# s -> State# s #
Unbox Int8
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Int8
Instance details Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Int8 -> m (Vector Int8) # basicUnsafeThaw :: PrimMonad m => Vector Int8 -> m (Mutable Vector (PrimState m) Int8) # basicLength :: Vector Int8 -> Int # basicUnsafeSlice :: Int -> Int -> Vector Int8 -> Vector Int8 # basicUnsafeIndexM :: Monad m => Vector Int8 -> Int -> m Int8 # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Int8 -> Vector Int8 -> m () # elemseq :: Vector Int8 -> Int8 -> b -> b #
MVector MVector Int8
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Int8 -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Int8 -> MVector s Int8 # basicOverlaps :: MVector s Int8 -> MVector s Int8 -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Int8) # basicInitialize :: PrimMonad m => MVector (PrimState m) Int8 -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> Int8 -> m (MVector (PrimState m) Int8) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Int8 -> Int -> m Int8 # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Int8 -> Int -> Int8 -> m () # basicClear :: PrimMonad m => MVector (PrimState m) Int8 -> m () # basicSet :: PrimMonad m => MVector (PrimState m) Int8 -> Int8 -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Int8 -> MVector (PrimState m) Int8 -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Int8 -> MVector (PrimState m) Int8 -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Int8 -> Int -> m (MVector (PrimState m) Int8) #
data Vector Int8
Instance details Defined in Data.Vector.Unboxed.Base data Vector Int8 = V_Int8 (Vector Int8)
data MVector s Int8
Instance details Defined in Data.Vector.Unboxed.Base data MVector s Int8 = MV_Int8 (MVector s Int8)

data Int16 #

16-bit signed integer type

Instances

Bounded Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods minBound :: Int16 # maxBound :: Int16 #
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] #
Eq Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods (==) :: Int16 -> Int16 -> Bool # (/=) :: Int16 -> Int16 -> Bool #
Integral Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods quot :: Int16 -> Int16 -> Int16 # rem :: Int16 -> Int16 -> Int16 # div :: Int16 -> Int16 -> Int16 # mod :: Int16 -> Int16 -> Int16 # quotRem :: Int16 -> Int16 -> (Int16, Int16) # divMod :: Int16 -> Int16 -> (Int16, Int16) # toInteger :: Int16 -> Integer #
Num Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods (+) :: Int16 -> Int16 -> Int16 # (-) :: Int16 -> Int16 -> Int16 # (*) :: Int16 -> Int16 -> Int16 # negate :: Int16 -> Int16 # abs :: Int16 -> Int16 # signum :: Int16 -> Int16 # fromInteger :: Integer -> Int16 #
Ord Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods compare :: Int16 -> Int16 -> Ordering # (<) :: Int16 -> Int16 -> Bool # (<=) :: Int16 -> Int16 -> Bool # (>) :: Int16 -> Int16 -> Bool # (>=) :: Int16 -> Int16 -> Bool # max :: Int16 -> Int16 -> Int16 # min :: Int16 -> Int16 -> Int16 #
Read Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods readsPrec :: Int -> ReadS Int16 # readList :: ReadS [Int16] # readPrec :: ReadPrec Int16 # readListPrec :: ReadPrec [Int16] #
Real Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods toRational :: Int16 -> Rational #
Show Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods showsPrec :: Int -> Int16 -> ShowS # show :: Int16 -> String # showList :: [Int16] -> ShowS #
Ix Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods range :: (Int16, Int16) -> [Int16] # index :: (Int16, Int16) -> Int16 -> Int # unsafeIndex :: (Int16, Int16) -> Int16 -> Int inRange :: (Int16, Int16) -> Int16 -> Bool # rangeSize :: (Int16, Int16) -> Int # unsafeRangeSize :: (Int16, Int16) -> Int
Lift Int16
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Int16 -> Q Exp #
Random Int16
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Int16, Int16) -> g -> (Int16, g) # random :: RandomGen g => g -> (Int16, g) # randomRs :: RandomGen g => (Int16, Int16) -> g -> [Int16] # randoms :: RandomGen g => g -> [Int16] # randomRIO :: (Int16, Int16) -> IO Int16 # randomIO :: IO Int16 #
Hashable Int16
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Int16 -> Int # hash :: Int16 -> Int #
ToJSON Int16
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Int16 -> Value # toEncoding :: Int16 -> Encoding # toJSONList :: [Int16] -> Value # toEncodingList :: [Int16] -> Encoding #
ToJSONKey Int16
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSONKey :: ToJSONKeyFunction Int16 # toJSONKeyList :: ToJSONKeyFunction [Int16] #
FromJSON Int16
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Int16 # parseJSONList :: Value -> Parser [Int16] #
FromJSONKey Int16
Instance details Defined in Data.Aeson.Types.FromJSON Methods fromJSONKey :: FromJSONKeyFunction Int16 # fromJSONKeyList :: FromJSONKeyFunction [Int16] #
Storable Int16	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Int16 -> Int # alignment :: Int16 -> Int # peekElemOff :: Ptr Int16 -> Int -> IO Int16 # pokeElemOff :: Ptr Int16 -> Int -> Int16 -> IO () # peekByteOff :: Ptr b -> Int -> IO Int16 # pokeByteOff :: Ptr b -> Int -> Int16 -> IO () # peek :: Ptr Int16 -> IO Int16 # poke :: Ptr Int16 -> Int16 -> IO () #
Bits Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods (.&.) :: Int16 -> Int16 -> Int16 # (.\|.) :: Int16 -> Int16 -> Int16 # xor :: Int16 -> Int16 -> Int16 # complement :: Int16 -> Int16 # shift :: Int16 -> Int -> Int16 # rotate :: Int16 -> Int -> Int16 # zeroBits :: Int16 # bit :: Int -> Int16 # setBit :: Int16 -> Int -> Int16 # clearBit :: Int16 -> Int -> Int16 # complementBit :: Int16 -> Int -> Int16 # testBit :: Int16 -> Int -> Bool # bitSizeMaybe :: Int16 -> Maybe Int # bitSize :: Int16 -> Int # isSigned :: Int16 -> Bool # shiftL :: Int16 -> Int -> Int16 # unsafeShiftL :: Int16 -> Int -> Int16 # shiftR :: Int16 -> Int -> Int16 # unsafeShiftR :: Int16 -> Int -> Int16 # rotateL :: Int16 -> Int -> Int16 # rotateR :: Int16 -> Int -> Int16 # popCount :: Int16 -> Int #
FiniteBits Int16	Since: base-4.6.0.0
Instance details Defined in GHC.Int Methods finiteBitSize :: Int16 -> Int # countLeadingZeros :: Int16 -> Int # countTrailingZeros :: Int16 -> Int #
NFData Int16
Instance details Defined in Control.DeepSeq Methods rnf :: Int16 -> () #
Prim Int16
Instance details Defined in Data.Primitive.Types Methods sizeOf# :: Int16 -> Int# # alignment# :: Int16 -> Int# # indexByteArray# :: ByteArray# -> Int# -> Int16 # readByteArray# :: MutableByteArray# s -> Int# -> State# s -> (#State# s, Int16#) # writeByteArray# :: MutableByteArray# s -> Int# -> Int16 -> State# s -> State# s # setByteArray# :: MutableByteArray# s -> Int# -> Int# -> Int16 -> State# s -> State# s # indexOffAddr# :: Addr# -> Int# -> Int16 # readOffAddr# :: Addr# -> Int# -> State# s -> (#State# s, Int16#) # writeOffAddr# :: Addr# -> Int# -> Int16 -> State# s -> State# s # setOffAddr# :: Addr# -> Int# -> Int# -> Int16 -> State# s -> State# s #
Unbox Int16
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Int16
Instance details Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Int16 -> m (Vector Int16) # basicUnsafeThaw :: PrimMonad m => Vector Int16 -> m (Mutable Vector (PrimState m) Int16) # basicLength :: Vector Int16 -> Int # basicUnsafeSlice :: Int -> Int -> Vector Int16 -> Vector Int16 # basicUnsafeIndexM :: Monad m => Vector Int16 -> Int -> m Int16 # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Int16 -> Vector Int16 -> m () # elemseq :: Vector Int16 -> Int16 -> b -> b #
MVector MVector Int16
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Int16 -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Int16 -> MVector s Int16 # basicOverlaps :: MVector s Int16 -> MVector s Int16 -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Int16) # basicInitialize :: PrimMonad m => MVector (PrimState m) Int16 -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> Int16 -> m (MVector (PrimState m) Int16) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Int16 -> Int -> m Int16 # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Int16 -> Int -> Int16 -> m () # basicClear :: PrimMonad m => MVector (PrimState m) Int16 -> m () # basicSet :: PrimMonad m => MVector (PrimState m) Int16 -> Int16 -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Int16 -> MVector (PrimState m) Int16 -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Int16 -> MVector (PrimState m) Int16 -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Int16 -> Int -> m (MVector (PrimState m) Int16) #
data Vector Int16
Instance details Defined in Data.Vector.Unboxed.Base data Vector Int16 = V_Int16 (Vector Int16)
data MVector s Int16
Instance details Defined in Data.Vector.Unboxed.Base data MVector s Int16 = MV_Int16 (MVector s Int16)

data Int32 #

32-bit signed integer type

Instances

Bounded Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods minBound :: Int32 # maxBound :: Int32 #
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] #
Eq Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods (==) :: Int32 -> Int32 -> Bool # (/=) :: Int32 -> Int32 -> Bool #
Integral Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods quot :: Int32 -> Int32 -> Int32 # rem :: Int32 -> Int32 -> Int32 # div :: Int32 -> Int32 -> Int32 # mod :: Int32 -> Int32 -> Int32 # quotRem :: Int32 -> Int32 -> (Int32, Int32) # divMod :: Int32 -> Int32 -> (Int32, Int32) # toInteger :: Int32 -> Integer #
Num Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods (+) :: Int32 -> Int32 -> Int32 # (-) :: Int32 -> Int32 -> Int32 # (*) :: Int32 -> Int32 -> Int32 # negate :: Int32 -> Int32 # abs :: Int32 -> Int32 # signum :: Int32 -> Int32 # fromInteger :: Integer -> Int32 #
Ord Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods compare :: Int32 -> Int32 -> Ordering # (<) :: Int32 -> Int32 -> Bool # (<=) :: Int32 -> Int32 -> Bool # (>) :: Int32 -> Int32 -> Bool # (>=) :: Int32 -> Int32 -> Bool # max :: Int32 -> Int32 -> Int32 # min :: Int32 -> Int32 -> Int32 #
Read Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods readsPrec :: Int -> ReadS Int32 # readList :: ReadS [Int32] # readPrec :: ReadPrec Int32 # readListPrec :: ReadPrec [Int32] #
Real Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods toRational :: Int32 -> Rational #
Show Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods showsPrec :: Int -> Int32 -> ShowS # show :: Int32 -> String # showList :: [Int32] -> ShowS #
Ix Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods range :: (Int32, Int32) -> [Int32] # index :: (Int32, Int32) -> Int32 -> Int # unsafeIndex :: (Int32, Int32) -> Int32 -> Int inRange :: (Int32, Int32) -> Int32 -> Bool # rangeSize :: (Int32, Int32) -> Int # unsafeRangeSize :: (Int32, Int32) -> Int
Lift Int32
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Int32 -> Q Exp #
Random Int32
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Int32, Int32) -> g -> (Int32, g) # random :: RandomGen g => g -> (Int32, g) # randomRs :: RandomGen g => (Int32, Int32) -> g -> [Int32] # randoms :: RandomGen g => g -> [Int32] # randomRIO :: (Int32, Int32) -> IO Int32 # randomIO :: IO Int32 #
Hashable Int32
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Int32 -> Int # hash :: Int32 -> Int #
ToJSON Int32
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Int32 -> Value # toEncoding :: Int32 -> Encoding # toJSONList :: [Int32] -> Value # toEncodingList :: [Int32] -> Encoding #
ToJSONKey Int32
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSONKey :: ToJSONKeyFunction Int32 # toJSONKeyList :: ToJSONKeyFunction [Int32] #
FromJSON Int32
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Int32 # parseJSONList :: Value -> Parser [Int32] #
FromJSONKey Int32
Instance details Defined in Data.Aeson.Types.FromJSON Methods fromJSONKey :: FromJSONKeyFunction Int32 # fromJSONKeyList :: FromJSONKeyFunction [Int32] #
Storable Int32	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Int32 -> Int # alignment :: Int32 -> Int # peekElemOff :: Ptr Int32 -> Int -> IO Int32 # pokeElemOff :: Ptr Int32 -> Int -> Int32 -> IO () # peekByteOff :: Ptr b -> Int -> IO Int32 # pokeByteOff :: Ptr b -> Int -> Int32 -> IO () # peek :: Ptr Int32 -> IO Int32 # poke :: Ptr Int32 -> Int32 -> IO () #
Bits Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods (.&.) :: Int32 -> Int32 -> Int32 # (.\|.) :: Int32 -> Int32 -> Int32 # xor :: Int32 -> Int32 -> Int32 # complement :: Int32 -> Int32 # shift :: Int32 -> Int -> Int32 # rotate :: Int32 -> Int -> Int32 # zeroBits :: Int32 # bit :: Int -> Int32 # setBit :: Int32 -> Int -> Int32 # clearBit :: Int32 -> Int -> Int32 # complementBit :: Int32 -> Int -> Int32 # testBit :: Int32 -> Int -> Bool # bitSizeMaybe :: Int32 -> Maybe Int # bitSize :: Int32 -> Int # isSigned :: Int32 -> Bool # shiftL :: Int32 -> Int -> Int32 # unsafeShiftL :: Int32 -> Int -> Int32 # shiftR :: Int32 -> Int -> Int32 # unsafeShiftR :: Int32 -> Int -> Int32 # rotateL :: Int32 -> Int -> Int32 # rotateR :: Int32 -> Int -> Int32 # popCount :: Int32 -> Int #
FiniteBits Int32	Since: base-4.6.0.0
Instance details Defined in GHC.Int Methods finiteBitSize :: Int32 -> Int # countLeadingZeros :: Int32 -> Int # countTrailingZeros :: Int32 -> Int #
NFData Int32
Instance details Defined in Control.DeepSeq Methods rnf :: Int32 -> () #
Prim Int32
Instance details Defined in Data.Primitive.Types Methods sizeOf# :: Int32 -> Int# # alignment# :: Int32 -> Int# # indexByteArray# :: ByteArray# -> Int# -> Int32 # readByteArray# :: MutableByteArray# s -> Int# -> State# s -> (#State# s, Int32#) # writeByteArray# :: MutableByteArray# s -> Int# -> Int32 -> State# s -> State# s # setByteArray# :: MutableByteArray# s -> Int# -> Int# -> Int32 -> State# s -> State# s # indexOffAddr# :: Addr# -> Int# -> Int32 # readOffAddr# :: Addr# -> Int# -> State# s -> (#State# s, Int32#) # writeOffAddr# :: Addr# -> Int# -> Int32 -> State# s -> State# s # setOffAddr# :: Addr# -> Int# -> Int# -> Int32 -> State# s -> State# s #
Unbox Int32
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Int32
Instance details Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Int32 -> m (Vector Int32) # basicUnsafeThaw :: PrimMonad m => Vector Int32 -> m (Mutable Vector (PrimState m) Int32) # basicLength :: Vector Int32 -> Int # basicUnsafeSlice :: Int -> Int -> Vector Int32 -> Vector Int32 # basicUnsafeIndexM :: Monad m => Vector Int32 -> Int -> m Int32 # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Int32 -> Vector Int32 -> m () # elemseq :: Vector Int32 -> Int32 -> b -> b #
MVector MVector Int32
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Int32 -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Int32 -> MVector s Int32 # basicOverlaps :: MVector s Int32 -> MVector s Int32 -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Int32) # basicInitialize :: PrimMonad m => MVector (PrimState m) Int32 -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> Int32 -> m (MVector (PrimState m) Int32) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Int32 -> Int -> m Int32 # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Int32 -> Int -> Int32 -> m () # basicClear :: PrimMonad m => MVector (PrimState m) Int32 -> m () # basicSet :: PrimMonad m => MVector (PrimState m) Int32 -> Int32 -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Int32 -> MVector (PrimState m) Int32 -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Int32 -> MVector (PrimState m) Int32 -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Int32 -> Int -> m (MVector (PrimState m) Int32) #
data Vector Int32
Instance details Defined in Data.Vector.Unboxed.Base data Vector Int32 = V_Int32 (Vector Int32)
data MVector s Int32
Instance details Defined in Data.Vector.Unboxed.Base data MVector s Int32 = MV_Int32 (MVector s Int32)

data Int64 #

64-bit signed integer type

Instances

Bounded Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods minBound :: Int64 # maxBound :: Int64 #
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] #
Eq Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods (==) :: Int64 -> Int64 -> Bool # (/=) :: Int64 -> Int64 -> Bool #
Integral Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods quot :: Int64 -> Int64 -> Int64 # rem :: Int64 -> Int64 -> Int64 # div :: Int64 -> Int64 -> Int64 # mod :: Int64 -> Int64 -> Int64 # quotRem :: Int64 -> Int64 -> (Int64, Int64) # divMod :: Int64 -> Int64 -> (Int64, Int64) # toInteger :: Int64 -> Integer #
Num Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods (+) :: Int64 -> Int64 -> Int64 # (-) :: Int64 -> Int64 -> Int64 # (*) :: Int64 -> Int64 -> Int64 # negate :: Int64 -> Int64 # abs :: Int64 -> Int64 # signum :: Int64 -> Int64 # fromInteger :: Integer -> Int64 #
Ord Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods compare :: Int64 -> Int64 -> Ordering # (<) :: Int64 -> Int64 -> Bool # (<=) :: Int64 -> Int64 -> Bool # (>) :: Int64 -> Int64 -> Bool # (>=) :: Int64 -> Int64 -> Bool # max :: Int64 -> Int64 -> Int64 # min :: Int64 -> Int64 -> Int64 #
Read Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods readsPrec :: Int -> ReadS Int64 # readList :: ReadS [Int64] # readPrec :: ReadPrec Int64 # readListPrec :: ReadPrec [Int64] #
Real Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods toRational :: Int64 -> Rational #
Show Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods showsPrec :: Int -> Int64 -> ShowS # show :: Int64 -> String # showList :: [Int64] -> ShowS #
Ix Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods range :: (Int64, Int64) -> [Int64] # index :: (Int64, Int64) -> Int64 -> Int # unsafeIndex :: (Int64, Int64) -> Int64 -> Int inRange :: (Int64, Int64) -> Int64 -> Bool # rangeSize :: (Int64, Int64) -> Int # unsafeRangeSize :: (Int64, Int64) -> Int
Lift Int64
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Int64 -> Q Exp #
Random Int64
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Int64, Int64) -> g -> (Int64, g) # random :: RandomGen g => g -> (Int64, g) # randomRs :: RandomGen g => (Int64, Int64) -> g -> [Int64] # randoms :: RandomGen g => g -> [Int64] # randomRIO :: (Int64, Int64) -> IO Int64 # randomIO :: IO Int64 #
Hashable Int64
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Int64 -> Int # hash :: Int64 -> Int #
ToJSON Int64
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Int64 -> Value # toEncoding :: Int64 -> Encoding # toJSONList :: [Int64] -> Value # toEncodingList :: [Int64] -> Encoding #
ToJSONKey Int64
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSONKey :: ToJSONKeyFunction Int64 # toJSONKeyList :: ToJSONKeyFunction [Int64] #
FromJSON Int64
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Int64 # parseJSONList :: Value -> Parser [Int64] #
FromJSONKey Int64
Instance details Defined in Data.Aeson.Types.FromJSON Methods fromJSONKey :: FromJSONKeyFunction Int64 # fromJSONKeyList :: FromJSONKeyFunction [Int64] #
Storable Int64	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Int64 -> Int # alignment :: Int64 -> Int # peekElemOff :: Ptr Int64 -> Int -> IO Int64 # pokeElemOff :: Ptr Int64 -> Int -> Int64 -> IO () # peekByteOff :: Ptr b -> Int -> IO Int64 # pokeByteOff :: Ptr b -> Int -> Int64 -> IO () # peek :: Ptr Int64 -> IO Int64 # poke :: Ptr Int64 -> Int64 -> IO () #
Bits Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods (.&.) :: Int64 -> Int64 -> Int64 # (.\|.) :: Int64 -> Int64 -> Int64 # xor :: Int64 -> Int64 -> Int64 # complement :: Int64 -> Int64 # shift :: Int64 -> Int -> Int64 # rotate :: Int64 -> Int -> Int64 # zeroBits :: Int64 # bit :: Int -> Int64 # setBit :: Int64 -> Int -> Int64 # clearBit :: Int64 -> Int -> Int64 # complementBit :: Int64 -> Int -> Int64 # testBit :: Int64 -> Int -> Bool # bitSizeMaybe :: Int64 -> Maybe Int # bitSize :: Int64 -> Int # isSigned :: Int64 -> Bool # shiftL :: Int64 -> Int -> Int64 # unsafeShiftL :: Int64 -> Int -> Int64 # shiftR :: Int64 -> Int -> Int64 # unsafeShiftR :: Int64 -> Int -> Int64 # rotateL :: Int64 -> Int -> Int64 # rotateR :: Int64 -> Int -> Int64 # popCount :: Int64 -> Int #
FiniteBits Int64	Since: base-4.6.0.0
Instance details Defined in GHC.Int Methods finiteBitSize :: Int64 -> Int # countLeadingZeros :: Int64 -> Int # countTrailingZeros :: Int64 -> Int #
NFData Int64
Instance details Defined in Control.DeepSeq Methods rnf :: Int64 -> () #
Prim Int64
Instance details Defined in Data.Primitive.Types Methods sizeOf# :: Int64 -> Int# # alignment# :: Int64 -> Int# # indexByteArray# :: ByteArray# -> Int# -> Int64 # readByteArray# :: MutableByteArray# s -> Int# -> State# s -> (#State# s, Int64#) # writeByteArray# :: MutableByteArray# s -> Int# -> Int64 -> State# s -> State# s # setByteArray# :: MutableByteArray# s -> Int# -> Int# -> Int64 -> State# s -> State# s # indexOffAddr# :: Addr# -> Int# -> Int64 # readOffAddr# :: Addr# -> Int# -> State# s -> (#State# s, Int64#) # writeOffAddr# :: Addr# -> Int# -> Int64 -> State# s -> State# s # setOffAddr# :: Addr# -> Int# -> Int# -> Int64 -> State# s -> State# s #
Unbox Int64
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Int64
Instance details Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Int64 -> m (Vector Int64) # basicUnsafeThaw :: PrimMonad m => Vector Int64 -> m (Mutable Vector (PrimState m) Int64) # basicLength :: Vector Int64 -> Int # basicUnsafeSlice :: Int -> Int -> Vector Int64 -> Vector Int64 # basicUnsafeIndexM :: Monad m => Vector Int64 -> Int -> m Int64 # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Int64 -> Vector Int64 -> m () # elemseq :: Vector Int64 -> Int64 -> b -> b #
MVector MVector Int64
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Int64 -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Int64 -> MVector s Int64 # basicOverlaps :: MVector s Int64 -> MVector s Int64 -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Int64) # basicInitialize :: PrimMonad m => MVector (PrimState m) Int64 -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> Int64 -> m (MVector (PrimState m) Int64) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Int64 -> Int -> m Int64 # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Int64 -> Int -> Int64 -> m () # basicClear :: PrimMonad m => MVector (PrimState m) Int64 -> m () # basicSet :: PrimMonad m => MVector (PrimState m) Int64 -> Int64 -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Int64 -> MVector (PrimState m) Int64 -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Int64 -> MVector (PrimState m) Int64 -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Int64 -> Int -> m (MVector (PrimState m) Int64) #
data Vector Int64
Instance details Defined in Data.Vector.Unboxed.Base data Vector Int64 = V_Int64 (Vector Int64)
data MVector s Int64
Instance details Defined in Data.Vector.Unboxed.Base data MVector s Int64 = MV_Int64 (MVector s Int64)

data Integer #

Invariant: Jn# and Jp# are used iff value doesn't fit in S#

Useful properties resulting from the invariants:

```
abs (S# _) <= abs (Jp# _)
```
```
abs (S# _) <  abs (Jn# _)
```

Instances

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] #
Eq Integer
Instance details Defined in GHC.Integer.Type Methods (==) :: Integer -> Integer -> Bool # (/=) :: Integer -> Integer -> Bool #
Integral Integer	Since: base-2.0.1
Instance details Defined in GHC.Real Methods quot :: Integer -> Integer -> Integer # rem :: Integer -> Integer -> Integer # div :: Integer -> Integer -> Integer # mod :: Integer -> Integer -> Integer # quotRem :: Integer -> Integer -> (Integer, Integer) # divMod :: Integer -> Integer -> (Integer, Integer) # toInteger :: Integer -> Integer #
Num Integer	Since: base-2.1
Instance details Defined in GHC.Num Methods (+) :: Integer -> Integer -> Integer # (-) :: Integer -> Integer -> Integer # (*) :: Integer -> Integer -> Integer # negate :: Integer -> Integer # abs :: Integer -> Integer # signum :: Integer -> Integer # fromInteger :: Integer -> Integer #
Ord Integer
Instance details Defined in GHC.Integer.Type Methods compare :: Integer -> Integer -> Ordering # (<) :: Integer -> Integer -> Bool # (<=) :: Integer -> Integer -> Bool # (>) :: Integer -> Integer -> Bool # (>=) :: Integer -> Integer -> Bool # max :: Integer -> Integer -> Integer # min :: Integer -> Integer -> Integer #
Read Integer	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Integer # readList :: ReadS [Integer] # readPrec :: ReadPrec Integer # readListPrec :: ReadPrec [Integer] #
Real Integer	Since: base-2.0.1
Instance details Defined in GHC.Real Methods toRational :: Integer -> Rational #
Show Integer	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> Integer -> ShowS # show :: Integer -> String # showList :: [Integer] -> ShowS #
Ix Integer	Since: base-2.1
Instance details Defined in GHC.Arr Methods range :: (Integer, Integer) -> [Integer] # index :: (Integer, Integer) -> Integer -> Int # unsafeIndex :: (Integer, Integer) -> Integer -> Int inRange :: (Integer, Integer) -> Integer -> Bool # rangeSize :: (Integer, Integer) -> Int # unsafeRangeSize :: (Integer, Integer) -> Int
Lift Integer
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Integer -> Q Exp #
Random Integer
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Integer, Integer) -> g -> (Integer, g) # random :: RandomGen g => g -> (Integer, g) # randomRs :: RandomGen g => (Integer, Integer) -> g -> [Integer] # randoms :: RandomGen g => g -> [Integer] # randomRIO :: (Integer, Integer) -> IO Integer # randomIO :: IO Integer #
Hashable Integer
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Integer -> Int # hash :: Integer -> Int #
ToJSON Integer
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Integer -> Value # toEncoding :: Integer -> Encoding # toJSONList :: [Integer] -> Value # toEncodingList :: [Integer] -> Encoding #
ToJSONKey Integer
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSONKey :: ToJSONKeyFunction Integer # toJSONKeyList :: ToJSONKeyFunction [Integer] #
FromJSON Integer	This instance includes a bounds check to prevent maliciously large inputs to fill up the memory of the target system. You can newtype `Scientific` and provide your own instance using `withScientific` if you want to allow larger inputs.
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Integer # parseJSONList :: Value -> Parser [Integer] #
FromJSONKey Integer
Instance details Defined in Data.Aeson.Types.FromJSON Methods fromJSONKey :: FromJSONKeyFunction Integer # fromJSONKeyList :: FromJSONKeyFunction [Integer] #
Bits Integer	Since: base-2.1
Instance details Defined in Data.Bits Methods (.&.) :: Integer -> Integer -> Integer # (.\|.) :: Integer -> Integer -> Integer # xor :: Integer -> Integer -> Integer # complement :: Integer -> Integer # shift :: Integer -> Int -> Integer # rotate :: Integer -> Int -> Integer # zeroBits :: Integer # bit :: Int -> Integer # setBit :: Integer -> Int -> Integer # clearBit :: Integer -> Int -> Integer # complementBit :: Integer -> Int -> Integer # testBit :: Integer -> Int -> Bool # bitSizeMaybe :: Integer -> Maybe Int # bitSize :: Integer -> Int # isSigned :: Integer -> Bool # shiftL :: Integer -> Int -> Integer # unsafeShiftL :: Integer -> Int -> Integer # shiftR :: Integer -> Int -> Integer # unsafeShiftR :: Integer -> Int -> Integer # rotateL :: Integer -> Int -> Integer # rotateR :: Integer -> Int -> Integer # popCount :: Integer -> Int #
NFData Integer
Instance details Defined in Control.DeepSeq Methods rnf :: Integer -> () #
KnownNat n => Reifies (n :: Nat) Integer
Instance details Defined in Data.Reflection Methods reflect :: proxy n -> Integer #

data Maybe a #

The Maybe type encapsulates an optional value. A value of type Maybe a either contains a value of type a (represented as Just a), or it is empty (represented as Nothing). Using Maybe is a good way to deal with errors or exceptional cases without resorting to drastic measures such as error.

The Maybe type is also a monad. It is a simple kind of error monad, where all errors are represented by Nothing. A richer error monad can be built using the Either type.

Constructors

Nothing
Just a

Instances

Monad Maybe	Since: base-2.1
Instance details Defined in GHC.Base Methods (>>=) :: Maybe a -> (a -> Maybe b) -> Maybe b # (>>) :: Maybe a -> Maybe b -> Maybe b # return :: a -> Maybe a # fail :: String -> Maybe a #
Functor Maybe	Since: base-2.1
Instance details Defined in GHC.Base Methods fmap :: (a -> b) -> Maybe a -> Maybe b # (<$) :: a -> Maybe b -> Maybe a #
MonadFix Maybe	Since: base-2.1
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> Maybe a) -> Maybe a #
Applicative Maybe	Since: base-2.1
Instance details Defined in GHC.Base Methods pure :: a -> Maybe a # (<>) :: Maybe (a -> b) -> Maybe a -> Maybe b # liftA2 :: (a -> b -> c) -> Maybe a -> Maybe b -> Maybe c # (>) :: Maybe a -> Maybe b -> Maybe b # (<*) :: Maybe a -> Maybe b -> Maybe a #
Foldable Maybe	Since: base-2.1
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Maybe m -> m # foldMap :: Monoid m => (a -> m) -> Maybe a -> m # foldr :: (a -> b -> b) -> b -> Maybe a -> b # foldr' :: (a -> b -> b) -> b -> Maybe a -> b # foldl :: (b -> a -> b) -> b -> Maybe a -> b # foldl' :: (b -> a -> b) -> b -> Maybe a -> b # foldr1 :: (a -> a -> a) -> Maybe a -> a # foldl1 :: (a -> a -> a) -> Maybe a -> a # toList :: Maybe a -> [a] # null :: Maybe a -> Bool # length :: Maybe a -> Int # elem :: Eq a => a -> Maybe a -> Bool # maximum :: Ord a => Maybe a -> a # minimum :: Ord a => Maybe a -> a # sum :: Num a => Maybe a -> a # product :: Num a => Maybe a -> a #
Traversable Maybe	Since: base-2.1
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Maybe a -> f (Maybe b) # sequenceA :: Applicative f => Maybe (f a) -> f (Maybe a) # mapM :: Monad m => (a -> m b) -> Maybe a -> m (Maybe b) # sequence :: Monad m => Maybe (m a) -> m (Maybe a) #
MonadPlus Maybe	Since: base-2.1
Instance details Defined in GHC.Base Methods mzero :: Maybe a # mplus :: Maybe a -> Maybe a -> Maybe a #
ToJSON1 Maybe
Instance details Defined in Data.Aeson.Types.ToJSON Methods liftToJSON :: (a -> Value) -> ([a] -> Value) -> Maybe a -> Value # liftToJSONList :: (a -> Value) -> ([a] -> Value) -> [Maybe a] -> Value # liftToEncoding :: (a -> Encoding) -> ([a] -> Encoding) -> Maybe a -> Encoding # liftToEncodingList :: (a -> Encoding) -> ([a] -> Encoding) -> [Maybe a] -> Encoding #
FromJSON1 Maybe
Instance details Defined in Data.Aeson.Types.FromJSON Methods liftParseJSON :: (Value -> Parser a) -> (Value -> Parser [a]) -> Value -> Parser (Maybe a) # liftParseJSONList :: (Value -> Parser a) -> (Value -> Parser [a]) -> Value -> Parser [Maybe a] #
Alternative Maybe	Since: base-2.1
Instance details Defined in GHC.Base Methods empty :: Maybe a # (<\|>) :: Maybe a -> Maybe a -> Maybe a # some :: Maybe a -> Maybe [a] # many :: Maybe a -> Maybe [a] #
Eq1 Maybe	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftEq :: (a -> b -> Bool) -> Maybe a -> Maybe b -> Bool #
Ord1 Maybe	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftCompare :: (a -> b -> Ordering) -> Maybe a -> Maybe b -> Ordering #
Read1 Maybe	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Maybe a) # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Maybe a] # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Maybe a) # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Maybe a] #
Show1 Maybe	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Maybe a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Maybe a] -> ShowS #
NFData1 Maybe	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf :: (a -> ()) -> Maybe a -> () #
MonadThrow Maybe
Instance details Defined in Control.Monad.Catch Methods throwM :: Exception e => e -> Maybe a #
Hashable1 Maybe
Instance details Defined in Data.Hashable.Class Methods liftHashWithSalt :: (Int -> a -> Int) -> Int -> Maybe a -> Int #
Filterable Maybe
Instance details Defined in Data.Witherable Methods mapMaybe :: (a -> Maybe b) -> Maybe a -> Maybe b # catMaybes :: Maybe (Maybe a) -> Maybe a # filter :: (a -> Bool) -> Maybe a -> Maybe a #
Witherable Maybe
Instance details Defined in Data.Witherable Methods wither :: Applicative f => (a -> f (Maybe b)) -> Maybe a -> f (Maybe b) # witherM :: Monad m => (a -> m (Maybe b)) -> Maybe a -> m (Maybe b) # filterA :: Applicative f => (a -> f Bool) -> Maybe a -> f (Maybe a) #
MonadError () Maybe	Since: mtl-2.2.2
Instance details Defined in Control.Monad.Error.Class Methods throwError :: () -> Maybe a # catchError :: Maybe a -> (() -> Maybe a) -> Maybe a #
FunctorWithIndex () Maybe
Instance details Defined in Control.Lens.Indexed Methods imap :: (() -> a -> b) -> Maybe a -> Maybe b # imapped :: IndexedSetter () (Maybe a) (Maybe b) a b #
FoldableWithIndex () Maybe
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (() -> a -> m) -> Maybe a -> m # ifolded :: IndexedFold () (Maybe a) a # ifoldr :: (() -> a -> b -> b) -> b -> Maybe a -> b # ifoldl :: (() -> b -> a -> b) -> b -> Maybe a -> b # ifoldr' :: (() -> a -> b -> b) -> b -> Maybe a -> b # ifoldl' :: (() -> b -> a -> b) -> b -> Maybe a -> b #
TraversableWithIndex () Maybe
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => (() -> a -> f b) -> Maybe a -> f (Maybe b) # itraversed :: IndexedTraversal () (Maybe a) (Maybe b) a b #
MonadBaseControl Maybe Maybe
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM Maybe a :: Type # Methods liftBaseWith :: (RunInBase Maybe Maybe -> Maybe a) -> Maybe a # restoreM :: StM Maybe a -> Maybe a #
(Selector s, GToJSON enc arity (K1 i (Maybe a) :: Type -> Type), KeyValuePair enc pairs, Monoid pairs) => RecordToPairs enc pairs arity (S1 s (K1 i (Maybe a) :: Type -> Type))
Instance details Defined in Data.Aeson.Types.ToJSON Methods recordToPairs :: Options -> ToArgs enc arity a0 -> S1 s (K1 i (Maybe a)) a0 -> pairs
(Selector s, FromJSON a) => FromRecord arity (S1 s (K1 i (Maybe a) :: Type -> Type))
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseRecord :: Options -> FromArgs arity a0 -> Object -> Parser (S1 s (K1 i (Maybe a)) a0)
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 #
Ord a => Ord (Maybe a)	Since: base-2.1
Instance details Defined in GHC.Maybe Methods compare :: Maybe a -> Maybe a -> Ordering # (<) :: Maybe a -> Maybe a -> Bool # (<=) :: Maybe a -> Maybe a -> Bool # (>) :: Maybe a -> Maybe a -> Bool # (>=) :: Maybe a -> Maybe a -> Bool # max :: Maybe a -> Maybe a -> Maybe a # min :: Maybe a -> Maybe a -> Maybe a #
Read a => Read (Maybe a)	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS (Maybe a) # readList :: ReadS [Maybe a] # readPrec :: ReadPrec (Maybe a) # readListPrec :: ReadPrec [Maybe a] #
Show a => Show (Maybe a)	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> Maybe a -> ShowS # show :: Maybe a -> String # showList :: [Maybe a] -> ShowS #
Generic (Maybe a)
Instance details Defined in GHC.Generics Associated Types type Rep (Maybe a) :: Type -> Type # Methods from :: Maybe a -> Rep (Maybe a) x # to :: Rep (Maybe a) x -> Maybe a #
Semigroup a => Semigroup (Maybe a)	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (<>) :: Maybe a -> Maybe a -> Maybe a # sconcat :: NonEmpty (Maybe a) -> Maybe a # stimes :: Integral b => b -> Maybe a -> Maybe a #
Semigroup a => Monoid (Maybe a)	Lift a semigroup into `Maybe` forming a `Monoid` according to http://en.wikipedia.org/wiki/Monoid: "Any semigroup `S` may be turned into a monoid simply by adjoining an element `e` not in `S` and defining `ee = e` and `es = s = se` for all `s ∈ S`." Since 4.11.0: constraint on inner `a` value generalised from `Monoid` to `Semigroup`. Since: base-2.1*
Instance details Defined in GHC.Base Methods mempty :: Maybe a # mappend :: Maybe a -> Maybe a -> Maybe a # mconcat :: [Maybe a] -> Maybe a #
Lift a => Lift (Maybe a)
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Maybe a -> Q Exp #
Hashable a => Hashable (Maybe a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Maybe a -> Int # hash :: Maybe a -> Int #
ToJSON a => ToJSON (Maybe a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Maybe a -> Value # toEncoding :: Maybe a -> Encoding # toJSONList :: [Maybe a] -> Value # toEncodingList :: [Maybe a] -> Encoding #
FromJSON a => FromJSON (Maybe a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Maybe a) # parseJSONList :: Value -> Parser [Maybe a] #
SingKind a => SingKind (Maybe a)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Associated Types type DemoteRep (Maybe a) :: Type Methods fromSing :: Sing a0 -> DemoteRep (Maybe a)
NFData a => NFData (Maybe a)
Instance details Defined in Control.DeepSeq Methods rnf :: Maybe a -> () #
Ixed (Maybe a)
Instance details Defined in Control.Lens.At Methods ix :: Index (Maybe a) -> Traversal' (Maybe a) (IxValue (Maybe a)) #
At (Maybe a)
Instance details Defined in Control.Lens.At Methods at :: Index (Maybe a) -> Lens' (Maybe a) (Maybe (IxValue (Maybe a))) #
LookupField (Maybe a)
Instance details Defined in Data.Aeson.TH Methods lookupField :: (Value -> Parser (Maybe a)) -> String -> String -> Object -> Text -> Parser (Maybe a)
Generic1 Maybe
Instance details Defined in GHC.Generics Associated Types type Rep1 Maybe :: k -> Type # Methods from1 :: Maybe a -> Rep1 Maybe a # to1 :: Rep1 Maybe a -> Maybe a #
SingI (Nothing :: Maybe a)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods sing :: Sing Nothing
SingI a2 => SingI (Just a2 :: Maybe a1)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods sing :: Sing (Just a2)
type StM Maybe a
Instance details Defined in Control.Monad.Trans.Control type StM Maybe a = a
type Rep (Maybe a)	Since: base-4.6.0.0
Instance details Defined in GHC.Generics type Rep (Maybe a) = D1 (MetaData "Maybe" "GHC.Maybe" "base" False) (C1 (MetaCons "Nothing" PrefixI False) (U1 :: Type -> Type) :+: C1 (MetaCons "Just" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 a)))
data Sing (b :: Maybe a)
Instance details Defined in GHC.Generics data Sing (b :: Maybe a) where SNothing :: forall a (b :: Maybe a). Sing (Nothing :: Maybe a) SJust :: forall a (b :: Maybe a) (a1 :: a). Sing a1 -> Sing (Just a1)
type DemoteRep (Maybe a)
Instance details Defined in GHC.Generics type DemoteRep (Maybe a) = Maybe (DemoteRep a)
type Index (Maybe a)
Instance details Defined in Control.Lens.At type Index (Maybe a) = ()
type IxValue (Maybe a)
Instance details Defined in Control.Lens.At type IxValue (Maybe a) = a
type Rep1 Maybe	Since: base-4.6.0.0
Instance details Defined in GHC.Generics type Rep1 Maybe = D1 (MetaData "Maybe" "GHC.Maybe" "base" False) (C1 (MetaCons "Nothing" PrefixI False) (U1 :: Type -> Type) :+: C1 (MetaCons "Just" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) Par1))

data Ordering #

Constructors

LT
EQ
GT

Instances

Bounded Ordering	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: Ordering # maxBound :: Ordering #
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] #
Eq Ordering
Instance details Defined in GHC.Classes Methods (==) :: Ordering -> Ordering -> Bool # (/=) :: Ordering -> Ordering -> Bool #
Ord Ordering
Instance details Defined in GHC.Classes Methods compare :: Ordering -> Ordering -> Ordering # (<) :: Ordering -> Ordering -> Bool # (<=) :: Ordering -> Ordering -> Bool # (>) :: Ordering -> Ordering -> Bool # (>=) :: Ordering -> Ordering -> Bool # max :: Ordering -> Ordering -> Ordering # min :: Ordering -> Ordering -> Ordering #
Read Ordering	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Ordering # readList :: ReadS [Ordering] # readPrec :: ReadPrec Ordering # readListPrec :: ReadPrec [Ordering] #
Show Ordering	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> Ordering -> ShowS # show :: Ordering -> String # showList :: [Ordering] -> ShowS #
Ix Ordering	Since: base-2.1
Instance details Defined in GHC.Arr Methods range :: (Ordering, Ordering) -> [Ordering] # index :: (Ordering, Ordering) -> Ordering -> Int # unsafeIndex :: (Ordering, Ordering) -> Ordering -> Int inRange :: (Ordering, Ordering) -> Ordering -> Bool # rangeSize :: (Ordering, Ordering) -> Int # unsafeRangeSize :: (Ordering, Ordering) -> Int
Generic Ordering
Instance details Defined in GHC.Generics Associated Types type Rep Ordering :: Type -> Type # Methods from :: Ordering -> Rep Ordering x # to :: Rep Ordering x -> Ordering #
Semigroup Ordering	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (<>) :: Ordering -> Ordering -> Ordering # sconcat :: NonEmpty Ordering -> Ordering # stimes :: Integral b => b -> Ordering -> Ordering #
Monoid Ordering	Since: base-2.1
Instance details Defined in GHC.Base Methods mempty :: Ordering # mappend :: Ordering -> Ordering -> Ordering # mconcat :: [Ordering] -> Ordering #
Hashable Ordering
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Ordering -> Int # hash :: Ordering -> Int #
ToJSON Ordering
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Ordering -> Value # toEncoding :: Ordering -> Encoding # toJSONList :: [Ordering] -> Value # toEncodingList :: [Ordering] -> Encoding #
FromJSON Ordering
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Ordering # parseJSONList :: Value -> Parser [Ordering] #
NFData Ordering
Instance details Defined in Control.DeepSeq Methods rnf :: Ordering -> () #
type Rep Ordering	Since: base-4.6.0.0
Instance details Defined in GHC.Generics type Rep Ordering = D1 (MetaData "Ordering" "GHC.Types" "ghc-prim" False) (C1 (MetaCons "LT" PrefixI False) (U1 :: Type -> Type) :+: (C1 (MetaCons "EQ" PrefixI False) (U1 :: Type -> Type) :+: C1 (MetaCons "GT" PrefixI False) (U1 :: Type -> Type)))

data Ratio a #

Rational numbers, with numerator and denominator of some Integral type.

Note that Ratio's instances inherit the deficiencies from the type parameter's. For example, Ratio Natural's Num instance has similar problems to Natural's.

Constructors

!a :% !a

Instances

NFData1 Ratio	Available on `base >=4.9` Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf :: (a -> ()) -> Ratio 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] #
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 #
Integral a => Fractional (Ratio a)	Since: base-2.0.1
Instance details Defined in GHC.Real Methods (/) :: Ratio a -> Ratio a -> Ratio a # recip :: Ratio a -> Ratio a # fromRational :: Rational -> Ratio a #
Integral a => Num (Ratio a)	Since: base-2.0.1
Instance details Defined in GHC.Real Methods (+) :: Ratio a -> Ratio a -> Ratio a # (-) :: Ratio a -> Ratio a -> Ratio a # (*) :: Ratio a -> Ratio a -> Ratio a # negate :: Ratio a -> Ratio a # abs :: Ratio a -> Ratio a # signum :: Ratio a -> Ratio a # fromInteger :: Integer -> Ratio a #
Integral a => Ord (Ratio a)	Since: base-2.0.1
Instance details Defined in GHC.Real Methods compare :: Ratio a -> Ratio a -> Ordering # (<) :: Ratio a -> Ratio a -> Bool # (<=) :: Ratio a -> Ratio a -> Bool # (>) :: Ratio a -> Ratio a -> Bool # (>=) :: Ratio a -> Ratio a -> Bool # max :: Ratio a -> Ratio a -> Ratio a # min :: Ratio a -> Ratio a -> Ratio a #
(Integral a, Read a) => Read (Ratio a)	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS (Ratio a) # readList :: ReadS [Ratio a] # readPrec :: ReadPrec (Ratio a) # readListPrec :: ReadPrec [Ratio a] #
Integral a => Real (Ratio a)	Since: base-2.0.1
Instance details Defined in GHC.Real Methods toRational :: Ratio a -> Rational #
Integral a => RealFrac (Ratio a)	Since: base-2.0.1
Instance details Defined in GHC.Real Methods properFraction :: Integral b => Ratio a -> (b, Ratio a) # truncate :: Integral b => Ratio a -> b # round :: Integral b => Ratio a -> b # ceiling :: Integral b => Ratio a -> b # floor :: Integral b => Ratio a -> b #
Show a => Show (Ratio a)	Since: base-2.0.1
Instance details Defined in GHC.Real Methods showsPrec :: Int -> Ratio a -> ShowS # show :: Ratio a -> String # showList :: [Ratio a] -> ShowS #
Integral a => Lift (Ratio a)
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Ratio a -> Q Exp #
Hashable a => Hashable (Ratio a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Ratio a -> Int # hash :: Ratio a -> Int #
(ToJSON a, Integral a) => ToJSON (Ratio a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Ratio a -> Value # toEncoding :: Ratio a -> Encoding # toJSONList :: [Ratio a] -> Value # toEncodingList :: [Ratio a] -> Encoding #
(FromJSON a, Integral a) => FromJSON (Ratio a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Ratio a) # parseJSONList :: Value -> Parser [Ratio a] #
(Storable a, Integral a) => Storable (Ratio a)	Since: base-4.8.0.0
Instance details Defined in Foreign.Storable Methods sizeOf :: Ratio a -> Int # alignment :: Ratio a -> Int # peekElemOff :: Ptr (Ratio a) -> Int -> IO (Ratio a) # pokeElemOff :: Ptr (Ratio a) -> Int -> Ratio a -> IO () # peekByteOff :: Ptr b -> Int -> IO (Ratio a) # pokeByteOff :: Ptr b -> Int -> Ratio a -> IO () # peek :: Ptr (Ratio a) -> IO (Ratio a) # poke :: Ptr (Ratio a) -> Ratio a -> IO () #
NFData a => NFData (Ratio a)
Instance details Defined in Control.DeepSeq Methods rnf :: Ratio a -> () #

type Rational = Ratio Integer #

Arbitrary-precision rational numbers, represented as a ratio of two Integer values. A rational number may be constructed using the % operator.

data StablePtr a #

A stable pointer is a reference to a Haskell expression that is guaranteed not to be affected by garbage collection, i.e., it will neither be deallocated nor will the value of the stable pointer itself change during garbage collection (ordinary references may be relocated during garbage collection). Consequently, stable pointers can be passed to foreign code, which can treat it as an opaque reference to a Haskell value.

A value of type StablePtr a is a stable pointer to a Haskell expression of type a.

Instances

Eq (StablePtr a)	Since: base-2.1
Instance details Defined in GHC.Stable Methods (==) :: StablePtr a -> StablePtr a -> Bool # (/=) :: StablePtr a -> StablePtr a -> Bool #
Storable (StablePtr a)	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: StablePtr a -> Int # alignment :: StablePtr a -> Int # peekElemOff :: Ptr (StablePtr a) -> Int -> IO (StablePtr a) # pokeElemOff :: Ptr (StablePtr a) -> Int -> StablePtr a -> IO () # peekByteOff :: Ptr b -> Int -> IO (StablePtr a) # pokeByteOff :: Ptr b -> Int -> StablePtr a -> IO () # peek :: Ptr (StablePtr a) -> IO (StablePtr a) # poke :: Ptr (StablePtr a) -> StablePtr a -> IO () #
PrimUnlifted (StablePtr a)	Since: primitive-0.6.4.0
Instance details Defined in Data.Primitive.UnliftedArray Methods toArrayArray# :: StablePtr a -> ArrayArray# # fromArrayArray# :: ArrayArray# -> StablePtr a #

data IO a #

A value of type IO a is a computation which, when performed, does some I/O before returning a value of type a.

There is really only one way to "perform" an I/O action: bind it to Main.main in your program. When your program is run, the I/O will be performed. It isn't possible to perform I/O from an arbitrary function, unless that function is itself in the IO monad and called at some point, directly or indirectly, from Main.main.

IO is a monad, so IO actions can be combined using either the do-notation or the >> and >>= operations from the Monad class.

Instances

Monad IO	Since: base-2.1
Instance details Defined in GHC.Base Methods (>>=) :: IO a -> (a -> IO b) -> IO b # (>>) :: IO a -> IO b -> IO b # return :: a -> IO a # fail :: String -> IO a #
Functor IO	Since: base-2.1
Instance details Defined in GHC.Base Methods fmap :: (a -> b) -> IO a -> IO b # (<$) :: a -> IO b -> IO a #
MonadFix IO	Since: base-2.1
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> IO a) -> IO a #
Applicative IO	Since: base-2.1
Instance details Defined in GHC.Base Methods pure :: a -> IO a # (<>) :: IO (a -> b) -> IO a -> IO b # liftA2 :: (a -> b -> c) -> IO a -> IO b -> IO c # (>) :: IO a -> IO b -> IO b # (<*) :: IO a -> IO b -> IO a #
MonadPlus IO	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods mzero :: IO a # mplus :: IO a -> IO a -> IO a #
MonadIO IO	Since: base-4.9.0.0
Instance details Defined in Control.Monad.IO.Class Methods liftIO :: IO a -> IO a #
MonadRandom IO
Instance details Defined in Control.Monad.Random.Class Methods getRandomR :: Random a => (a, a) -> IO a # getRandom :: Random a => IO a # getRandomRs :: Random a => (a, a) -> IO [a] # getRandoms :: Random a => IO [a] #
Alternative IO	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods empty :: IO a # (<\|>) :: IO a -> IO a -> IO a # some :: IO a -> IO [a] # many :: IO a -> IO [a] #
MonadThrow IO
Instance details Defined in Control.Monad.Catch Methods throwM :: Exception e => e -> IO a #
MonadCatch IO
Instance details Defined in Control.Monad.Catch Methods catch :: Exception e => IO a -> (e -> IO a) -> IO a #
MonadMask IO
Instance details Defined in Control.Monad.Catch Methods mask :: ((forall a. IO a -> IO a) -> IO b) -> IO b # uninterruptibleMask :: ((forall a. IO a -> IO a) -> IO b) -> IO b # generalBracket :: IO a -> (a -> ExitCase b -> IO c) -> (a -> IO b) -> IO (b, c) #
PrimMonad IO
Instance details Defined in Control.Monad.Primitive Associated Types type PrimState IO :: Type # Methods primitive :: (State# (PrimState IO) -> (#State# (PrimState IO), a#)) -> IO a #
PrimBase IO
Instance details Defined in Control.Monad.Primitive Methods internal :: IO a -> State# (PrimState IO) -> (#State# (PrimState IO), a#) #
Quasi IO
Instance details Defined in Language.Haskell.TH.Syntax Methods qNewName :: String -> IO Name # qReport :: Bool -> String -> IO () # qRecover :: IO a -> IO a -> IO a # qLookupName :: Bool -> String -> IO (Maybe Name) # qReify :: Name -> IO Info # qReifyFixity :: Name -> IO (Maybe Fixity) # qReifyInstances :: Name -> [Type] -> IO [Dec] # qReifyRoles :: Name -> IO [Role] # qReifyAnnotations :: Data a => AnnLookup -> IO [a] # qReifyModule :: Module -> IO ModuleInfo # qReifyConStrictness :: Name -> IO [DecidedStrictness] # qLocation :: IO Loc # qRunIO :: IO a -> IO a # qAddDependentFile :: FilePath -> IO () # qAddTempFile :: String -> IO FilePath # qAddTopDecls :: [Dec] -> IO () # qAddForeignFilePath :: ForeignSrcLang -> String -> IO () # qAddModFinalizer :: Q () -> IO () # qAddCorePlugin :: String -> IO () # qGetQ :: Typeable a => IO (Maybe a) # qPutQ :: Typeable a => a -> IO () # qIsExtEnabled :: Extension -> IO Bool # qExtsEnabled :: IO [Extension] #
MonadSplit StdGen IO
Instance details Defined in Control.Monad.Random.Class Methods getSplit :: IO StdGen #
MonadError IOException IO
Instance details Defined in Control.Monad.Error.Class Methods throwError :: IOException -> IO a # catchError :: IO a -> (IOException -> IO a) -> IO a #
MonadBaseControl IO IO
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM IO a :: Type # Methods liftBaseWith :: (RunInBase IO IO -> IO a) -> IO a # restoreM :: StM IO a -> IO a #
Semigroup a => Semigroup (IO a)	Since: base-4.10.0.0
Instance details Defined in GHC.Base Methods (<>) :: IO a -> IO a -> IO a # sconcat :: NonEmpty (IO a) -> IO a # stimes :: Integral b => b -> IO a -> IO a #
Monoid a => Monoid (IO a)	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods mempty :: IO a # mappend :: IO a -> IO a -> IO a # mconcat :: [IO a] -> IO a #
type PrimState IO
Instance details Defined in Control.Monad.Primitive type PrimState IO = RealWorld
type StM IO a
Instance details Defined in Control.Monad.Trans.Control type StM IO a = a

data Word #

A Word is an unsigned integral type, with the same size as Int.

Instances

Bounded Word	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: Word # maxBound :: Word #
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] #
Eq Word
Instance details Defined in GHC.Classes Methods (==) :: Word -> Word -> Bool # (/=) :: Word -> Word -> Bool #
Integral Word	Since: base-2.1
Instance details Defined in GHC.Real Methods quot :: Word -> Word -> Word # rem :: Word -> Word -> Word # div :: Word -> Word -> Word # mod :: Word -> Word -> Word # quotRem :: Word -> Word -> (Word, Word) # divMod :: Word -> Word -> (Word, Word) # toInteger :: Word -> Integer #
Num Word	Since: base-2.1
Instance details Defined in GHC.Num Methods (+) :: Word -> Word -> Word # (-) :: Word -> Word -> Word # (*) :: Word -> Word -> Word # negate :: Word -> Word # abs :: Word -> Word # signum :: Word -> Word # fromInteger :: Integer -> Word #
Ord Word
Instance details Defined in GHC.Classes Methods compare :: Word -> Word -> Ordering # (<) :: Word -> Word -> Bool # (<=) :: Word -> Word -> Bool # (>) :: Word -> Word -> Bool # (>=) :: Word -> Word -> Bool # max :: Word -> Word -> Word # min :: Word -> Word -> Word #
Read Word	Since: base-4.5.0.0
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Word # readList :: ReadS [Word] # readPrec :: ReadPrec Word # readListPrec :: ReadPrec [Word] #
Real Word	Since: base-2.1
Instance details Defined in GHC.Real Methods toRational :: Word -> Rational #
Show Word	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> Word -> ShowS # show :: Word -> String # showList :: [Word] -> ShowS #
Ix Word	Since: base-4.6.0.0
Instance details Defined in GHC.Arr Methods range :: (Word, Word) -> [Word] # index :: (Word, Word) -> Word -> Int # unsafeIndex :: (Word, Word) -> Word -> Int inRange :: (Word, Word) -> Word -> Bool # rangeSize :: (Word, Word) -> Int # unsafeRangeSize :: (Word, Word) -> Int
Lift Word
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Word -> Q Exp #
Random Word
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Word, Word) -> g -> (Word, g) # random :: RandomGen g => g -> (Word, g) # randomRs :: RandomGen g => (Word, Word) -> g -> [Word] # randoms :: RandomGen g => g -> [Word] # randomRIO :: (Word, Word) -> IO Word # randomIO :: IO Word #
Hashable Word
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Word -> Int # hash :: Word -> Int #
ToJSON Word
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Word -> Value # toEncoding :: Word -> Encoding # toJSONList :: [Word] -> Value # toEncodingList :: [Word] -> Encoding #
ToJSONKey Word
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSONKey :: ToJSONKeyFunction Word # toJSONKeyList :: ToJSONKeyFunction [Word] #
FromJSON Word
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Word # parseJSONList :: Value -> Parser [Word] #
FromJSONKey Word
Instance details Defined in Data.Aeson.Types.FromJSON Methods fromJSONKey :: FromJSONKeyFunction Word # fromJSONKeyList :: FromJSONKeyFunction [Word] #
Storable Word	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Word -> Int # alignment :: Word -> Int # peekElemOff :: Ptr Word -> Int -> IO Word # pokeElemOff :: Ptr Word -> Int -> Word -> IO () # peekByteOff :: Ptr b -> Int -> IO Word # pokeByteOff :: Ptr b -> Int -> Word -> IO () # peek :: Ptr Word -> IO Word # poke :: Ptr Word -> Word -> IO () #
Bits Word	Since: base-2.1
Instance details Defined in Data.Bits Methods (.&.) :: Word -> Word -> Word # (.\|.) :: Word -> Word -> Word # xor :: Word -> Word -> Word # complement :: Word -> Word # shift :: Word -> Int -> Word # rotate :: Word -> Int -> Word # zeroBits :: Word # bit :: Int -> Word # setBit :: Word -> Int -> Word # clearBit :: Word -> Int -> Word # complementBit :: Word -> Int -> Word # testBit :: Word -> Int -> Bool # bitSizeMaybe :: Word -> Maybe Int # bitSize :: Word -> Int # isSigned :: Word -> Bool # shiftL :: Word -> Int -> Word # unsafeShiftL :: Word -> Int -> Word # shiftR :: Word -> Int -> Word # unsafeShiftR :: Word -> Int -> Word # rotateL :: Word -> Int -> Word # rotateR :: Word -> Int -> Word # popCount :: Word -> Int #
FiniteBits Word	Since: base-4.6.0.0
Instance details Defined in Data.Bits Methods finiteBitSize :: Word -> Int # countLeadingZeros :: Word -> Int # countTrailingZeros :: Word -> Int #
NFData Word
Instance details Defined in Control.DeepSeq Methods rnf :: Word -> () #
Prim Word
Instance details Defined in Data.Primitive.Types Methods sizeOf# :: Word -> Int# # alignment# :: Word -> Int# # indexByteArray# :: ByteArray# -> Int# -> Word # readByteArray# :: MutableByteArray# s -> Int# -> State# s -> (#State# s, Word#) # writeByteArray# :: MutableByteArray# s -> Int# -> Word -> State# s -> State# s # setByteArray# :: MutableByteArray# s -> Int# -> Int# -> Word -> State# s -> State# s # indexOffAddr# :: Addr# -> Int# -> Word # readOffAddr# :: Addr# -> Int# -> State# s -> (#State# s, Word#) # writeOffAddr# :: Addr# -> Int# -> Word -> State# s -> State# s # setOffAddr# :: Addr# -> Int# -> Int# -> Word -> State# s -> State# s #
Unbox Word
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Word
Instance details Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Word -> m (Vector Word) # basicUnsafeThaw :: PrimMonad m => Vector Word -> m (Mutable Vector (PrimState m) Word) # basicLength :: Vector Word -> Int # basicUnsafeSlice :: Int -> Int -> Vector Word -> Vector Word # basicUnsafeIndexM :: Monad m => Vector Word -> Int -> m Word # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Word -> Vector Word -> m () # elemseq :: Vector Word -> Word -> b -> b #
MVector MVector Word
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Word -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Word -> MVector s Word # basicOverlaps :: MVector s Word -> MVector s Word -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Word) # basicInitialize :: PrimMonad m => MVector (PrimState m) Word -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> Word -> m (MVector (PrimState m) Word) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Word -> Int -> m Word # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Word -> Int -> Word -> m () # basicClear :: PrimMonad m => MVector (PrimState m) Word -> m () # basicSet :: PrimMonad m => MVector (PrimState m) Word -> Word -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Word -> MVector (PrimState m) Word -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Word -> MVector (PrimState m) Word -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Word -> Int -> m (MVector (PrimState m) Word) #
Generic1 (URec Word :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (URec Word) :: k -> Type # Methods from1 :: URec Word a -> Rep1 (URec Word) a # to1 :: Rep1 (URec Word) a -> URec Word a #
Functor (URec Word :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec Word a -> URec Word b # (<$) :: a -> URec Word b -> URec Word a #
Foldable (URec Word :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => URec Word m -> m # foldMap :: Monoid m => (a -> m) -> URec Word a -> m # foldr :: (a -> b -> b) -> b -> URec Word a -> b # foldr' :: (a -> b -> b) -> b -> URec Word a -> b # foldl :: (b -> a -> b) -> b -> URec Word a -> b # foldl' :: (b -> a -> b) -> b -> URec Word a -> b # foldr1 :: (a -> a -> a) -> URec Word a -> a # foldl1 :: (a -> a -> a) -> URec Word a -> a # toList :: URec Word a -> [a] # null :: URec Word a -> Bool # length :: URec Word a -> Int # elem :: Eq a => a -> URec Word a -> Bool # maximum :: Ord a => URec Word a -> a # minimum :: Ord a => URec Word a -> a # sum :: Num a => URec Word a -> a # product :: Num a => URec Word a -> a #
Traversable (URec Word :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> URec Word a -> f (URec Word b) # sequenceA :: Applicative f => URec Word (f a) -> f (URec Word a) # mapM :: Monad m => (a -> m b) -> URec Word a -> m (URec Word b) # sequence :: Monad m => URec Word (m a) -> m (URec Word a) #
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 #
Ord (URec Word p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods compare :: URec Word p -> URec Word p -> Ordering # (<) :: URec Word p -> URec Word p -> Bool # (<=) :: URec Word p -> URec Word p -> Bool # (>) :: URec Word p -> URec Word p -> Bool # (>=) :: URec Word p -> URec Word p -> Bool # max :: URec Word p -> URec Word p -> URec Word p # min :: URec Word p -> URec Word p -> URec Word p #
Show (URec Word p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> URec Word p -> ShowS # show :: URec Word p -> String # showList :: [URec Word p] -> ShowS #
Generic (URec Word p)
Instance details Defined in GHC.Generics Associated Types type Rep (URec Word p) :: Type -> Type # Methods from :: URec Word p -> Rep (URec Word p) x # to :: Rep (URec Word p) x -> URec Word p #
data Vector Word
Instance details Defined in Data.Vector.Unboxed.Base data Vector Word = V_Word (Vector Word)
data URec Word (p :: k)	Used for marking occurrences of `Word#` Since: base-4.9.0.0
Instance details Defined in GHC.Generics data URec Word (p :: k) = UWord { uWord# :: Word# }
data MVector s Word
Instance details Defined in Data.Vector.Unboxed.Base data MVector s Word = MV_Word (MVector s Word)
type Rep1 (URec Word :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep1 (URec Word :: k -> Type) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UWord" PrefixI True) (S1 (MetaSel (Just "uWord#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UWord :: k -> Type)))
type Rep (URec Word p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep (URec Word p) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UWord" PrefixI True) (S1 (MetaSel (Just "uWord#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UWord :: Type -> Type)))

data Word8 #

8-bit unsigned integer type

Instances

Bounded Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods minBound :: Word8 # maxBound :: Word8 #
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] #
Eq Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods (==) :: Word8 -> Word8 -> Bool # (/=) :: Word8 -> Word8 -> Bool #
Integral Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods quot :: Word8 -> Word8 -> Word8 # rem :: Word8 -> Word8 -> Word8 # div :: Word8 -> Word8 -> Word8 # mod :: Word8 -> Word8 -> Word8 # quotRem :: Word8 -> Word8 -> (Word8, Word8) # divMod :: Word8 -> Word8 -> (Word8, Word8) # toInteger :: Word8 -> Integer #
Num Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods (+) :: Word8 -> Word8 -> Word8 # (-) :: Word8 -> Word8 -> Word8 # (*) :: Word8 -> Word8 -> Word8 # negate :: Word8 -> Word8 # abs :: Word8 -> Word8 # signum :: Word8 -> Word8 # fromInteger :: Integer -> Word8 #
Ord Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods compare :: Word8 -> Word8 -> Ordering # (<) :: Word8 -> Word8 -> Bool # (<=) :: Word8 -> Word8 -> Bool # (>) :: Word8 -> Word8 -> Bool # (>=) :: Word8 -> Word8 -> Bool # max :: Word8 -> Word8 -> Word8 # min :: Word8 -> Word8 -> Word8 #
Read Word8	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Word8 # readList :: ReadS [Word8] # readPrec :: ReadPrec Word8 # readListPrec :: ReadPrec [Word8] #
Real Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods toRational :: Word8 -> Rational #
Show Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods showsPrec :: Int -> Word8 -> ShowS # show :: Word8 -> String # showList :: [Word8] -> ShowS #
Ix Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods range :: (Word8, Word8) -> [Word8] # index :: (Word8, Word8) -> Word8 -> Int # unsafeIndex :: (Word8, Word8) -> Word8 -> Int inRange :: (Word8, Word8) -> Word8 -> Bool # rangeSize :: (Word8, Word8) -> Int # unsafeRangeSize :: (Word8, Word8) -> Int
Lift Word8
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Word8 -> Q Exp #
Random Word8
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Word8, Word8) -> g -> (Word8, g) # random :: RandomGen g => g -> (Word8, g) # randomRs :: RandomGen g => (Word8, Word8) -> g -> [Word8] # randoms :: RandomGen g => g -> [Word8] # randomRIO :: (Word8, Word8) -> IO Word8 # randomIO :: IO Word8 #
Hashable Word8
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Word8 -> Int # hash :: Word8 -> Int #
ToJSON Word8
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Word8 -> Value # toEncoding :: Word8 -> Encoding # toJSONList :: [Word8] -> Value # toEncodingList :: [Word8] -> Encoding #
ToJSONKey Word8
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSONKey :: ToJSONKeyFunction Word8 # toJSONKeyList :: ToJSONKeyFunction [Word8] #
FromJSON Word8
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Word8 # parseJSONList :: Value -> Parser [Word8] #
FromJSONKey Word8
Instance details Defined in Data.Aeson.Types.FromJSON Methods fromJSONKey :: FromJSONKeyFunction Word8 # fromJSONKeyList :: FromJSONKeyFunction [Word8] #
Storable Word8	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Word8 -> Int # alignment :: Word8 -> Int # peekElemOff :: Ptr Word8 -> Int -> IO Word8 # pokeElemOff :: Ptr Word8 -> Int -> Word8 -> IO () # peekByteOff :: Ptr b -> Int -> IO Word8 # pokeByteOff :: Ptr b -> Int -> Word8 -> IO () # peek :: Ptr Word8 -> IO Word8 # poke :: Ptr Word8 -> Word8 -> IO () #
Bits Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods (.&.) :: Word8 -> Word8 -> Word8 # (.\|.) :: Word8 -> Word8 -> Word8 # xor :: Word8 -> Word8 -> Word8 # complement :: Word8 -> Word8 # shift :: Word8 -> Int -> Word8 # rotate :: Word8 -> Int -> Word8 # zeroBits :: Word8 # bit :: Int -> Word8 # setBit :: Word8 -> Int -> Word8 # clearBit :: Word8 -> Int -> Word8 # complementBit :: Word8 -> Int -> Word8 # testBit :: Word8 -> Int -> Bool # bitSizeMaybe :: Word8 -> Maybe Int # bitSize :: Word8 -> Int # isSigned :: Word8 -> Bool # shiftL :: Word8 -> Int -> Word8 # unsafeShiftL :: Word8 -> Int -> Word8 # shiftR :: Word8 -> Int -> Word8 # unsafeShiftR :: Word8 -> Int -> Word8 # rotateL :: Word8 -> Int -> Word8 # rotateR :: Word8 -> Int -> Word8 # popCount :: Word8 -> Int #
FiniteBits Word8	Since: base-4.6.0.0
Instance details Defined in GHC.Word Methods finiteBitSize :: Word8 -> Int # countLeadingZeros :: Word8 -> Int # countTrailingZeros :: Word8 -> Int #
NFData Word8
Instance details Defined in Control.DeepSeq Methods rnf :: Word8 -> () #
Prim Word8
Instance details Defined in Data.Primitive.Types Methods sizeOf# :: Word8 -> Int# # alignment# :: Word8 -> Int# # indexByteArray# :: ByteArray# -> Int# -> Word8 # readByteArray# :: MutableByteArray# s -> Int# -> State# s -> (#State# s, Word8#) # writeByteArray# :: MutableByteArray# s -> Int# -> Word8 -> State# s -> State# s # setByteArray# :: MutableByteArray# s -> Int# -> Int# -> Word8 -> State# s -> State# s # indexOffAddr# :: Addr# -> Int# -> Word8 # readOffAddr# :: Addr# -> Int# -> State# s -> (#State# s, Word8#) # writeOffAddr# :: Addr# -> Int# -> Word8 -> State# s -> State# s # setOffAddr# :: Addr# -> Int# -> Int# -> Word8 -> State# s -> State# s #
Unbox Word8
Instance details Defined in Data.Vector.Unboxed.Base
ByteSource Word8
Instance details Defined in Data.UUID.Types.Internal.Builder Methods (/-/) :: ByteSink Word8 g -> Word8 -> g
Vector Vector Word8
Instance details Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Word8 -> m (Vector Word8) # basicUnsafeThaw :: PrimMonad m => Vector Word8 -> m (Mutable Vector (PrimState m) Word8) # basicLength :: Vector Word8 -> Int # basicUnsafeSlice :: Int -> Int -> Vector Word8 -> Vector Word8 # basicUnsafeIndexM :: Monad m => Vector Word8 -> Int -> m Word8 # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Word8 -> Vector Word8 -> m () # elemseq :: Vector Word8 -> Word8 -> b -> b #
MVector MVector Word8
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Word8 -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Word8 -> MVector s Word8 # basicOverlaps :: MVector s Word8 -> MVector s Word8 -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Word8) # basicInitialize :: PrimMonad m => MVector (PrimState m) Word8 -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> Word8 -> m (MVector (PrimState m) Word8) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Word8 -> Int -> m Word8 # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Word8 -> Int -> Word8 -> m () # basicClear :: PrimMonad m => MVector (PrimState m) Word8 -> m () # basicSet :: PrimMonad m => MVector (PrimState m) Word8 -> Word8 -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Word8 -> MVector (PrimState m) Word8 -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Word8 -> MVector (PrimState m) Word8 -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Word8 -> Int -> m (MVector (PrimState m) Word8) #
Cons ByteString ByteString Word8 Word8
Instance details Defined in Control.Lens.Cons Methods _Cons :: Prism ByteString ByteString (Word8, ByteString) (Word8, ByteString) #
Cons ByteString ByteString Word8 Word8
Instance details Defined in Control.Lens.Cons Methods _Cons :: Prism ByteString ByteString (Word8, ByteString) (Word8, ByteString) #
Snoc ByteString ByteString Word8 Word8
Instance details Defined in Control.Lens.Cons Methods _Snoc :: Prism ByteString ByteString (ByteString, Word8) (ByteString, Word8) #
Snoc ByteString ByteString Word8 Word8
Instance details Defined in Control.Lens.Cons Methods _Snoc :: Prism ByteString ByteString (ByteString, Word8) (ByteString, Word8) #
data Vector Word8
Instance details Defined in Data.Vector.Unboxed.Base data Vector Word8 = V_Word8 (Vector Word8)
type ByteSink Word8 g
Instance details Defined in Data.UUID.Types.Internal.Builder type ByteSink Word8 g = Takes1Byte g
data MVector s Word8
Instance details Defined in Data.Vector.Unboxed.Base data MVector s Word8 = MV_Word8 (MVector s Word8)

data Word16 #

16-bit unsigned integer type

Instances

Bounded Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods minBound :: Word16 # maxBound :: Word16 #
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] #
Eq Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods (==) :: Word16 -> Word16 -> Bool # (/=) :: Word16 -> Word16 -> Bool #
Integral Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods quot :: Word16 -> Word16 -> Word16 # rem :: Word16 -> Word16 -> Word16 # div :: Word16 -> Word16 -> Word16 # mod :: Word16 -> Word16 -> Word16 # quotRem :: Word16 -> Word16 -> (Word16, Word16) # divMod :: Word16 -> Word16 -> (Word16, Word16) # toInteger :: Word16 -> Integer #
Num Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods (+) :: Word16 -> Word16 -> Word16 # (-) :: Word16 -> Word16 -> Word16 # (*) :: Word16 -> Word16 -> Word16 # negate :: Word16 -> Word16 # abs :: Word16 -> Word16 # signum :: Word16 -> Word16 # fromInteger :: Integer -> Word16 #
Ord Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods compare :: Word16 -> Word16 -> Ordering # (<) :: Word16 -> Word16 -> Bool # (<=) :: Word16 -> Word16 -> Bool # (>) :: Word16 -> Word16 -> Bool # (>=) :: Word16 -> Word16 -> Bool # max :: Word16 -> Word16 -> Word16 # min :: Word16 -> Word16 -> Word16 #
Read Word16	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Word16 # readList :: ReadS [Word16] # readPrec :: ReadPrec Word16 # readListPrec :: ReadPrec [Word16] #
Real Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods toRational :: Word16 -> Rational #
Show Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods showsPrec :: Int -> Word16 -> ShowS # show :: Word16 -> String # showList :: [Word16] -> ShowS #
Ix Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods range :: (Word16, Word16) -> [Word16] # index :: (Word16, Word16) -> Word16 -> Int # unsafeIndex :: (Word16, Word16) -> Word16 -> Int inRange :: (Word16, Word16) -> Word16 -> Bool # rangeSize :: (Word16, Word16) -> Int # unsafeRangeSize :: (Word16, Word16) -> Int
Lift Word16
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Word16 -> Q Exp #
Random Word16
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Word16, Word16) -> g -> (Word16, g) # random :: RandomGen g => g -> (Word16, g) # randomRs :: RandomGen g => (Word16, Word16) -> g -> [Word16] # randoms :: RandomGen g => g -> [Word16] # randomRIO :: (Word16, Word16) -> IO Word16 # randomIO :: IO Word16 #
Hashable Word16
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Word16 -> Int # hash :: Word16 -> Int #
ToJSON Word16
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Word16 -> Value # toEncoding :: Word16 -> Encoding # toJSONList :: [Word16] -> Value # toEncodingList :: [Word16] -> Encoding #
ToJSONKey Word16
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSONKey :: ToJSONKeyFunction Word16 # toJSONKeyList :: ToJSONKeyFunction [Word16] #
FromJSON Word16
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Word16 # parseJSONList :: Value -> Parser [Word16] #
FromJSONKey Word16
Instance details Defined in Data.Aeson.Types.FromJSON Methods fromJSONKey :: FromJSONKeyFunction Word16 # fromJSONKeyList :: FromJSONKeyFunction [Word16] #
Storable Word16	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Word16 -> Int # alignment :: Word16 -> Int # peekElemOff :: Ptr Word16 -> Int -> IO Word16 # pokeElemOff :: Ptr Word16 -> Int -> Word16 -> IO () # peekByteOff :: Ptr b -> Int -> IO Word16 # pokeByteOff :: Ptr b -> Int -> Word16 -> IO () # peek :: Ptr Word16 -> IO Word16 # poke :: Ptr Word16 -> Word16 -> IO () #
Bits Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods (.&.) :: Word16 -> Word16 -> Word16 # (.\|.) :: Word16 -> Word16 -> Word16 # xor :: Word16 -> Word16 -> Word16 # complement :: Word16 -> Word16 # shift :: Word16 -> Int -> Word16 # rotate :: Word16 -> Int -> Word16 # zeroBits :: Word16 # bit :: Int -> Word16 # setBit :: Word16 -> Int -> Word16 # clearBit :: Word16 -> Int -> Word16 # complementBit :: Word16 -> Int -> Word16 # testBit :: Word16 -> Int -> Bool # bitSizeMaybe :: Word16 -> Maybe Int # bitSize :: Word16 -> Int # isSigned :: Word16 -> Bool # shiftL :: Word16 -> Int -> Word16 # unsafeShiftL :: Word16 -> Int -> Word16 # shiftR :: Word16 -> Int -> Word16 # unsafeShiftR :: Word16 -> Int -> Word16 # rotateL :: Word16 -> Int -> Word16 # rotateR :: Word16 -> Int -> Word16 # popCount :: Word16 -> Int #
FiniteBits Word16	Since: base-4.6.0.0
Instance details Defined in GHC.Word Methods finiteBitSize :: Word16 -> Int # countLeadingZeros :: Word16 -> Int # countTrailingZeros :: Word16 -> Int #
NFData Word16
Instance details Defined in Control.DeepSeq Methods rnf :: Word16 -> () #
Prim Word16
Instance details Defined in Data.Primitive.Types Methods sizeOf# :: Word16 -> Int# # alignment# :: Word16 -> Int# # indexByteArray# :: ByteArray# -> Int# -> Word16 # readByteArray# :: MutableByteArray# s -> Int# -> State# s -> (#State# s, Word16#) # writeByteArray# :: MutableByteArray# s -> Int# -> Word16 -> State# s -> State# s # setByteArray# :: MutableByteArray# s -> Int# -> Int# -> Word16 -> State# s -> State# s # indexOffAddr# :: Addr# -> Int# -> Word16 # readOffAddr# :: Addr# -> Int# -> State# s -> (#State# s, Word16#) # writeOffAddr# :: Addr# -> Int# -> Word16 -> State# s -> State# s # setOffAddr# :: Addr# -> Int# -> Int# -> Word16 -> State# s -> State# s #
Unbox Word16
Instance details Defined in Data.Vector.Unboxed.Base
ByteSource Word16
Instance details Defined in Data.UUID.Types.Internal.Builder Methods (/-/) :: ByteSink Word16 g -> Word16 -> g
Vector Vector Word16
Instance details Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Word16 -> m (Vector Word16) # basicUnsafeThaw :: PrimMonad m => Vector Word16 -> m (Mutable Vector (PrimState m) Word16) # basicLength :: Vector Word16 -> Int # basicUnsafeSlice :: Int -> Int -> Vector Word16 -> Vector Word16 # basicUnsafeIndexM :: Monad m => Vector Word16 -> Int -> m Word16 # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Word16 -> Vector Word16 -> m () # elemseq :: Vector Word16 -> Word16 -> b -> b #
MVector MVector Word16
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Word16 -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Word16 -> MVector s Word16 # basicOverlaps :: MVector s Word16 -> MVector s Word16 -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Word16) # basicInitialize :: PrimMonad m => MVector (PrimState m) Word16 -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> Word16 -> m (MVector (PrimState m) Word16) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Word16 -> Int -> m Word16 # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Word16 -> Int -> Word16 -> m () # basicClear :: PrimMonad m => MVector (PrimState m) Word16 -> m () # basicSet :: PrimMonad m => MVector (PrimState m) Word16 -> Word16 -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Word16 -> MVector (PrimState m) Word16 -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Word16 -> MVector (PrimState m) Word16 -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Word16 -> Int -> m (MVector (PrimState m) Word16) #
data Vector Word16
Instance details Defined in Data.Vector.Unboxed.Base data Vector Word16 = V_Word16 (Vector Word16)
type ByteSink Word16 g
Instance details Defined in Data.UUID.Types.Internal.Builder type ByteSink Word16 g = Takes2Bytes g
data MVector s Word16
Instance details Defined in Data.Vector.Unboxed.Base data MVector s Word16 = MV_Word16 (MVector s Word16)

data Word32 #

32-bit unsigned integer type

Instances

Bounded Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods minBound :: Word32 # maxBound :: Word32 #
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] #
Eq Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods (==) :: Word32 -> Word32 -> Bool # (/=) :: Word32 -> Word32 -> Bool #
Integral Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods quot :: Word32 -> Word32 -> Word32 # rem :: Word32 -> Word32 -> Word32 # div :: Word32 -> Word32 -> Word32 # mod :: Word32 -> Word32 -> Word32 # quotRem :: Word32 -> Word32 -> (Word32, Word32) # divMod :: Word32 -> Word32 -> (Word32, Word32) # toInteger :: Word32 -> Integer #
Num Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods (+) :: Word32 -> Word32 -> Word32 # (-) :: Word32 -> Word32 -> Word32 # (*) :: Word32 -> Word32 -> Word32 # negate :: Word32 -> Word32 # abs :: Word32 -> Word32 # signum :: Word32 -> Word32 # fromInteger :: Integer -> Word32 #
Ord Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods compare :: Word32 -> Word32 -> Ordering # (<) :: Word32 -> Word32 -> Bool # (<=) :: Word32 -> Word32 -> Bool # (>) :: Word32 -> Word32 -> Bool # (>=) :: Word32 -> Word32 -> Bool # max :: Word32 -> Word32 -> Word32 # min :: Word32 -> Word32 -> Word32 #
Read Word32	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Word32 # readList :: ReadS [Word32] # readPrec :: ReadPrec Word32 # readListPrec :: ReadPrec [Word32] #
Real Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods toRational :: Word32 -> Rational #
Show Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods showsPrec :: Int -> Word32 -> ShowS # show :: Word32 -> String # showList :: [Word32] -> ShowS #
Ix Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods range :: (Word32, Word32) -> [Word32] # index :: (Word32, Word32) -> Word32 -> Int # unsafeIndex :: (Word32, Word32) -> Word32 -> Int inRange :: (Word32, Word32) -> Word32 -> Bool # rangeSize :: (Word32, Word32) -> Int # unsafeRangeSize :: (Word32, Word32) -> Int
Lift Word32
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Word32 -> Q Exp #
Random Word32
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Word32, Word32) -> g -> (Word32, g) # random :: RandomGen g => g -> (Word32, g) # randomRs :: RandomGen g => (Word32, Word32) -> g -> [Word32] # randoms :: RandomGen g => g -> [Word32] # randomRIO :: (Word32, Word32) -> IO Word32 # randomIO :: IO Word32 #
Hashable Word32
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Word32 -> Int # hash :: Word32 -> Int #
ToJSON Word32
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Word32 -> Value # toEncoding :: Word32 -> Encoding # toJSONList :: [Word32] -> Value # toEncodingList :: [Word32] -> Encoding #
ToJSONKey Word32
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSONKey :: ToJSONKeyFunction Word32 # toJSONKeyList :: ToJSONKeyFunction [Word32] #
FromJSON Word32
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Word32 # parseJSONList :: Value -> Parser [Word32] #
FromJSONKey Word32
Instance details Defined in Data.Aeson.Types.FromJSON Methods fromJSONKey :: FromJSONKeyFunction Word32 # fromJSONKeyList :: FromJSONKeyFunction [Word32] #
Storable Word32	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Word32 -> Int # alignment :: Word32 -> Int # peekElemOff :: Ptr Word32 -> Int -> IO Word32 # pokeElemOff :: Ptr Word32 -> Int -> Word32 -> IO () # peekByteOff :: Ptr b -> Int -> IO Word32 # pokeByteOff :: Ptr b -> Int -> Word32 -> IO () # peek :: Ptr Word32 -> IO Word32 # poke :: Ptr Word32 -> Word32 -> IO () #
Bits Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods (.&.) :: Word32 -> Word32 -> Word32 # (.\|.) :: Word32 -> Word32 -> Word32 # xor :: Word32 -> Word32 -> Word32 # complement :: Word32 -> Word32 # shift :: Word32 -> Int -> Word32 # rotate :: Word32 -> Int -> Word32 # zeroBits :: Word32 # bit :: Int -> Word32 # setBit :: Word32 -> Int -> Word32 # clearBit :: Word32 -> Int -> Word32 # complementBit :: Word32 -> Int -> Word32 # testBit :: Word32 -> Int -> Bool # bitSizeMaybe :: Word32 -> Maybe Int # bitSize :: Word32 -> Int # isSigned :: Word32 -> Bool # shiftL :: Word32 -> Int -> Word32 # unsafeShiftL :: Word32 -> Int -> Word32 # shiftR :: Word32 -> Int -> Word32 # unsafeShiftR :: Word32 -> Int -> Word32 # rotateL :: Word32 -> Int -> Word32 # rotateR :: Word32 -> Int -> Word32 # popCount :: Word32 -> Int #
FiniteBits Word32	Since: base-4.6.0.0
Instance details Defined in GHC.Word Methods finiteBitSize :: Word32 -> Int # countLeadingZeros :: Word32 -> Int # countTrailingZeros :: Word32 -> Int #
NFData Word32
Instance details Defined in Control.DeepSeq Methods rnf :: Word32 -> () #
Prim Word32
Instance details Defined in Data.Primitive.Types Methods sizeOf# :: Word32 -> Int# # alignment# :: Word32 -> Int# # indexByteArray# :: ByteArray# -> Int# -> Word32 # readByteArray# :: MutableByteArray# s -> Int# -> State# s -> (#State# s, Word32#) # writeByteArray# :: MutableByteArray# s -> Int# -> Word32 -> State# s -> State# s # setByteArray# :: MutableByteArray# s -> Int# -> Int# -> Word32 -> State# s -> State# s # indexOffAddr# :: Addr# -> Int# -> Word32 # readOffAddr# :: Addr# -> Int# -> State# s -> (#State# s, Word32#) # writeOffAddr# :: Addr# -> Int# -> Word32 -> State# s -> State# s # setOffAddr# :: Addr# -> Int# -> Int# -> Word32 -> State# s -> State# s #
Unbox Word32
Instance details Defined in Data.Vector.Unboxed.Base
ByteSource Word32
Instance details Defined in Data.UUID.Types.Internal.Builder Methods (/-/) :: ByteSink Word32 g -> Word32 -> g
Vector Vector Word32
Instance details Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Word32 -> m (Vector Word32) # basicUnsafeThaw :: PrimMonad m => Vector Word32 -> m (Mutable Vector (PrimState m) Word32) # basicLength :: Vector Word32 -> Int # basicUnsafeSlice :: Int -> Int -> Vector Word32 -> Vector Word32 # basicUnsafeIndexM :: Monad m => Vector Word32 -> Int -> m Word32 # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Word32 -> Vector Word32 -> m () # elemseq :: Vector Word32 -> Word32 -> b -> b #
MVector MVector Word32
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Word32 -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Word32 -> MVector s Word32 # basicOverlaps :: MVector s Word32 -> MVector s Word32 -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Word32) # basicInitialize :: PrimMonad m => MVector (PrimState m) Word32 -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> Word32 -> m (MVector (PrimState m) Word32) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Word32 -> Int -> m Word32 # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Word32 -> Int -> Word32 -> m () # basicClear :: PrimMonad m => MVector (PrimState m) Word32 -> m () # basicSet :: PrimMonad m => MVector (PrimState m) Word32 -> Word32 -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Word32 -> MVector (PrimState m) Word32 -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Word32 -> MVector (PrimState m) Word32 -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Word32 -> Int -> m (MVector (PrimState m) Word32) #
data Vector Word32
Instance details Defined in Data.Vector.Unboxed.Base data Vector Word32 = V_Word32 (Vector Word32)
type ByteSink Word32 g
Instance details Defined in Data.UUID.Types.Internal.Builder type ByteSink Word32 g = Takes4Bytes g
data MVector s Word32
Instance details Defined in Data.Vector.Unboxed.Base data MVector s Word32 = MV_Word32 (MVector s Word32)

data Word64 #

64-bit unsigned integer type

Instances

Bounded Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods minBound :: Word64 # maxBound :: Word64 #
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] #
Eq Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods (==) :: Word64 -> Word64 -> Bool # (/=) :: Word64 -> Word64 -> Bool #
Integral Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods quot :: Word64 -> Word64 -> Word64 # rem :: Word64 -> Word64 -> Word64 # div :: Word64 -> Word64 -> Word64 # mod :: Word64 -> Word64 -> Word64 # quotRem :: Word64 -> Word64 -> (Word64, Word64) # divMod :: Word64 -> Word64 -> (Word64, Word64) # toInteger :: Word64 -> Integer #
Num Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods (+) :: Word64 -> Word64 -> Word64 # (-) :: Word64 -> Word64 -> Word64 # (*) :: Word64 -> Word64 -> Word64 # negate :: Word64 -> Word64 # abs :: Word64 -> Word64 # signum :: Word64 -> Word64 # fromInteger :: Integer -> Word64 #
Ord Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods compare :: Word64 -> Word64 -> Ordering # (<) :: Word64 -> Word64 -> Bool # (<=) :: Word64 -> Word64 -> Bool # (>) :: Word64 -> Word64 -> Bool # (>=) :: Word64 -> Word64 -> Bool # max :: Word64 -> Word64 -> Word64 # min :: Word64 -> Word64 -> Word64 #
Read Word64	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Word64 # readList :: ReadS [Word64] # readPrec :: ReadPrec Word64 # readListPrec :: ReadPrec [Word64] #
Real Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods toRational :: Word64 -> Rational #
Show Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods showsPrec :: Int -> Word64 -> ShowS # show :: Word64 -> String # showList :: [Word64] -> ShowS #
Ix Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods range :: (Word64, Word64) -> [Word64] # index :: (Word64, Word64) -> Word64 -> Int # unsafeIndex :: (Word64, Word64) -> Word64 -> Int inRange :: (Word64, Word64) -> Word64 -> Bool # rangeSize :: (Word64, Word64) -> Int # unsafeRangeSize :: (Word64, Word64) -> Int
Lift Word64
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Word64 -> Q Exp #
Random Word64
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Word64, Word64) -> g -> (Word64, g) # random :: RandomGen g => g -> (Word64, g) # randomRs :: RandomGen g => (Word64, Word64) -> g -> [Word64] # randoms :: RandomGen g => g -> [Word64] # randomRIO :: (Word64, Word64) -> IO Word64 # randomIO :: IO Word64 #
Hashable Word64
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Word64 -> Int # hash :: Word64 -> Int #
ToJSON Word64
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Word64 -> Value # toEncoding :: Word64 -> Encoding # toJSONList :: [Word64] -> Value # toEncodingList :: [Word64] -> Encoding #
ToJSONKey Word64
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSONKey :: ToJSONKeyFunction Word64 # toJSONKeyList :: ToJSONKeyFunction [Word64] #
FromJSON Word64
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Word64 # parseJSONList :: Value -> Parser [Word64] #
FromJSONKey Word64
Instance details Defined in Data.Aeson.Types.FromJSON Methods fromJSONKey :: FromJSONKeyFunction Word64 # fromJSONKeyList :: FromJSONKeyFunction [Word64] #
Storable Word64	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Word64 -> Int # alignment :: Word64 -> Int # peekElemOff :: Ptr Word64 -> Int -> IO Word64 # pokeElemOff :: Ptr Word64 -> Int -> Word64 -> IO () # peekByteOff :: Ptr b -> Int -> IO Word64 # pokeByteOff :: Ptr b -> Int -> Word64 -> IO () # peek :: Ptr Word64 -> IO Word64 # poke :: Ptr Word64 -> Word64 -> IO () #
Bits Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods (.&.) :: Word64 -> Word64 -> Word64 # (.\|.) :: Word64 -> Word64 -> Word64 # xor :: Word64 -> Word64 -> Word64 # complement :: Word64 -> Word64 # shift :: Word64 -> Int -> Word64 # rotate :: Word64 -> Int -> Word64 # zeroBits :: Word64 # bit :: Int -> Word64 # setBit :: Word64 -> Int -> Word64 # clearBit :: Word64 -> Int -> Word64 # complementBit :: Word64 -> Int -> Word64 # testBit :: Word64 -> Int -> Bool # bitSizeMaybe :: Word64 -> Maybe Int # bitSize :: Word64 -> Int # isSigned :: Word64 -> Bool # shiftL :: Word64 -> Int -> Word64 # unsafeShiftL :: Word64 -> Int -> Word64 # shiftR :: Word64 -> Int -> Word64 # unsafeShiftR :: Word64 -> Int -> Word64 # rotateL :: Word64 -> Int -> Word64 # rotateR :: Word64 -> Int -> Word64 # popCount :: Word64 -> Int #
FiniteBits Word64	Since: base-4.6.0.0
Instance details Defined in GHC.Word Methods finiteBitSize :: Word64 -> Int # countLeadingZeros :: Word64 -> Int # countTrailingZeros :: Word64 -> Int #
NFData Word64
Instance details Defined in Control.DeepSeq Methods rnf :: Word64 -> () #
Prim Word64
Instance details Defined in Data.Primitive.Types Methods sizeOf# :: Word64 -> Int# # alignment# :: Word64 -> Int# # indexByteArray# :: ByteArray# -> Int# -> Word64 # readByteArray# :: MutableByteArray# s -> Int# -> State# s -> (#State# s, Word64#) # writeByteArray# :: MutableByteArray# s -> Int# -> Word64 -> State# s -> State# s # setByteArray# :: MutableByteArray# s -> Int# -> Int# -> Word64 -> State# s -> State# s # indexOffAddr# :: Addr# -> Int# -> Word64 # readOffAddr# :: Addr# -> Int# -> State# s -> (#State# s, Word64#) # writeOffAddr# :: Addr# -> Int# -> Word64 -> State# s -> State# s # setOffAddr# :: Addr# -> Int# -> Int# -> Word64 -> State# s -> State# s #
Unbox Word64
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Word64
Instance details Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Word64 -> m (Vector Word64) # basicUnsafeThaw :: PrimMonad m => Vector Word64 -> m (Mutable Vector (PrimState m) Word64) # basicLength :: Vector Word64 -> Int # basicUnsafeSlice :: Int -> Int -> Vector Word64 -> Vector Word64 # basicUnsafeIndexM :: Monad m => Vector Word64 -> Int -> m Word64 # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Word64 -> Vector Word64 -> m () # elemseq :: Vector Word64 -> Word64 -> b -> b #
MVector MVector Word64
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Word64 -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Word64 -> MVector s Word64 # basicOverlaps :: MVector s Word64 -> MVector s Word64 -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Word64) # basicInitialize :: PrimMonad m => MVector (PrimState m) Word64 -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> Word64 -> m (MVector (PrimState m) Word64) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Word64 -> Int -> m Word64 # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Word64 -> Int -> Word64 -> m () # basicClear :: PrimMonad m => MVector (PrimState m) Word64 -> m () # basicSet :: PrimMonad m => MVector (PrimState m) Word64 -> Word64 -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Word64 -> MVector (PrimState m) Word64 -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Word64 -> MVector (PrimState m) Word64 -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Word64 -> Int -> m (MVector (PrimState m) Word64) #
data Vector Word64
Instance details Defined in Data.Vector.Unboxed.Base data Vector Word64 = V_Word64 (Vector Word64)
data MVector s Word64
Instance details Defined in Data.Vector.Unboxed.Base data MVector s Word64 = MV_Word64 (MVector s Word64)

data Ptr a #

A value of type Ptr a represents a pointer to an object, or an array of objects, which may be marshalled to or from Haskell values of type a.

The type a will often be an instance of class Storable which provides the marshalling operations. However this is not essential, and you can provide your own operations to access the pointer. For example you might write small foreign functions to get or set the fields of a C struct.

Instances

NFData1 Ptr	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf :: (a -> ()) -> Ptr a -> () #
Generic1 (URec (Ptr ()) :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (URec (Ptr ())) :: k -> Type # Methods from1 :: URec (Ptr ()) a -> Rep1 (URec (Ptr ())) a # to1 :: Rep1 (URec (Ptr ())) a -> URec (Ptr ()) a #
Eq (Ptr a)	Since: base-2.1
Instance details Defined in GHC.Ptr Methods (==) :: Ptr a -> Ptr a -> Bool # (/=) :: Ptr a -> Ptr a -> Bool #
Ord (Ptr a)	Since: base-2.1
Instance details Defined in GHC.Ptr Methods compare :: Ptr a -> Ptr a -> Ordering # (<) :: Ptr a -> Ptr a -> Bool # (<=) :: Ptr a -> Ptr a -> Bool # (>) :: Ptr a -> Ptr a -> Bool # (>=) :: Ptr a -> Ptr a -> Bool # max :: Ptr a -> Ptr a -> Ptr a # min :: Ptr a -> Ptr a -> Ptr a #
Show (Ptr a)	Since: base-2.1
Instance details Defined in GHC.Ptr Methods showsPrec :: Int -> Ptr a -> ShowS # show :: Ptr a -> String # showList :: [Ptr a] -> ShowS #
Hashable (Ptr a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Ptr a -> Int # hash :: Ptr a -> Int #
Storable (Ptr a)	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Ptr a -> Int # alignment :: Ptr a -> Int # peekElemOff :: Ptr (Ptr a) -> Int -> IO (Ptr a) # pokeElemOff :: Ptr (Ptr a) -> Int -> Ptr a -> IO () # peekByteOff :: Ptr b -> Int -> IO (Ptr a) # pokeByteOff :: Ptr b -> Int -> Ptr a -> IO () # peek :: Ptr (Ptr a) -> IO (Ptr a) # poke :: Ptr (Ptr a) -> Ptr a -> IO () #
NFData (Ptr a)	Since: deepseq-1.4.2.0
Instance details Defined in Control.DeepSeq Methods rnf :: Ptr a -> () #
Prim (Ptr a)
Instance details Defined in Data.Primitive.Types Methods sizeOf# :: Ptr a -> Int# # alignment# :: Ptr a -> Int# # indexByteArray# :: ByteArray# -> Int# -> Ptr a # readByteArray# :: MutableByteArray# s -> Int# -> State# s -> (#State# s, Ptr a#) # writeByteArray# :: MutableByteArray# s -> Int# -> Ptr a -> State# s -> State# s # setByteArray# :: MutableByteArray# s -> Int# -> Int# -> Ptr a -> State# s -> State# s # indexOffAddr# :: Addr# -> Int# -> Ptr a # readOffAddr# :: Addr# -> Int# -> State# s -> (#State# s, Ptr a#) # writeOffAddr# :: Addr# -> Int# -> Ptr a -> State# s -> State# s # setOffAddr# :: Addr# -> Int# -> Int# -> Ptr a -> State# s -> State# s #
Functor (URec (Ptr ()) :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec (Ptr ()) a -> URec (Ptr ()) b # (<$) :: a -> URec (Ptr ()) b -> URec (Ptr ()) a #
Foldable (URec (Ptr ()) :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => URec (Ptr ()) m -> m # foldMap :: Monoid m => (a -> m) -> URec (Ptr ()) a -> m # foldr :: (a -> b -> b) -> b -> URec (Ptr ()) a -> b # foldr' :: (a -> b -> b) -> b -> URec (Ptr ()) a -> b # foldl :: (b -> a -> b) -> b -> URec (Ptr ()) a -> b # foldl' :: (b -> a -> b) -> b -> URec (Ptr ()) a -> b # foldr1 :: (a -> a -> a) -> URec (Ptr ()) a -> a # foldl1 :: (a -> a -> a) -> URec (Ptr ()) a -> a # toList :: URec (Ptr ()) a -> [a] # null :: URec (Ptr ()) a -> Bool # length :: URec (Ptr ()) a -> Int # elem :: Eq a => a -> URec (Ptr ()) a -> Bool # maximum :: Ord a => URec (Ptr ()) a -> a # minimum :: Ord a => URec (Ptr ()) a -> a # sum :: Num a => URec (Ptr ()) a -> a # product :: Num a => URec (Ptr ()) a -> a #
Traversable (URec (Ptr ()) :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> URec (Ptr ()) a -> f (URec (Ptr ()) b) # sequenceA :: Applicative f => URec (Ptr ()) (f a) -> f (URec (Ptr ()) a) # mapM :: Monad m => (a -> m b) -> URec (Ptr ()) a -> m (URec (Ptr ()) b) # sequence :: Monad m => URec (Ptr ()) (m a) -> m (URec (Ptr ()) a) #
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 #
Ord (URec (Ptr ()) p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods compare :: URec (Ptr ()) p -> URec (Ptr ()) p -> Ordering # (<) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool # (<=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool # (>) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool # (>=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool # max :: URec (Ptr ()) p -> URec (Ptr ()) p -> URec (Ptr ()) p # min :: URec (Ptr ()) p -> URec (Ptr ()) p -> URec (Ptr ()) p #
Generic (URec (Ptr ()) p)
Instance details Defined in GHC.Generics Associated Types type Rep (URec (Ptr ()) p) :: Type -> Type # Methods from :: URec (Ptr ()) p -> Rep (URec (Ptr ()) p) x # to :: Rep (URec (Ptr ()) p) x -> URec (Ptr ()) p #
data URec (Ptr ()) (p :: k)	Used for marking occurrences of `Addr#` Since: base-4.9.0.0
Instance details Defined in GHC.Generics data URec (Ptr ()) (p :: k) = UAddr { uAddr# :: Addr# }
type Rep1 (URec (Ptr ()) :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep1 (URec (Ptr ()) :: k -> Type) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UAddr" PrefixI True) (S1 (MetaSel (Just "uAddr#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UAddr :: k -> Type)))
type Rep (URec (Ptr ()) p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep (URec (Ptr ()) p) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UAddr" PrefixI True) (S1 (MetaSel (Just "uAddr#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UAddr :: Type -> Type)))

data FunPtr a #

A value of type FunPtr a is a pointer to a function callable from foreign code. The type a will normally be a foreign type, a function type with zero or more arguments where

the argument types are marshallable foreign types, i.e. Char, Int, Double, Float, Bool, Int8, Int16, Int32, Int64, Word8, Word16, Word32, Word64, Ptr a, FunPtr a, StablePtr a or a renaming of any of these using newtype.
the return type is either a marshallable foreign type or has the form IO t where t is a marshallable foreign type or ().

A value of type FunPtr a may be a pointer to a foreign function, either returned by another foreign function or imported with a a static address import like

foreign import ccall "stdlib.h &free"
  p_free :: FunPtr (Ptr a -> IO ())

or a pointer to a Haskell function created using a wrapper stub declared to produce a FunPtr of the correct type. For example:

type Compare = Int -> Int -> Bool
foreign import ccall "wrapper"
  mkCompare :: Compare -> IO (FunPtr Compare)

Calls to wrapper stubs like mkCompare allocate storage, which should be released with freeHaskellFunPtr when no longer required.

To convert FunPtr values to corresponding Haskell functions, one can define a dynamic stub for the specific foreign type, e.g.

type IntFunction = CInt -> IO ()
foreign import ccall "dynamic"
  mkFun :: FunPtr IntFunction -> IntFunction

Instances

NFData1 FunPtr	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf :: (a -> ()) -> FunPtr a -> () #
Eq (FunPtr a)
Instance details Defined in GHC.Ptr Methods (==) :: FunPtr a -> FunPtr a -> Bool # (/=) :: FunPtr a -> FunPtr a -> Bool #
Ord (FunPtr a)
Instance details Defined in GHC.Ptr Methods compare :: FunPtr a -> FunPtr a -> Ordering # (<) :: FunPtr a -> FunPtr a -> Bool # (<=) :: FunPtr a -> FunPtr a -> Bool # (>) :: FunPtr a -> FunPtr a -> Bool # (>=) :: FunPtr a -> FunPtr a -> Bool # max :: FunPtr a -> FunPtr a -> FunPtr a # min :: FunPtr a -> FunPtr a -> FunPtr a #
Show (FunPtr a)	Since: base-2.1
Instance details Defined in GHC.Ptr Methods showsPrec :: Int -> FunPtr a -> ShowS # show :: FunPtr a -> String # showList :: [FunPtr a] -> ShowS #
Hashable (FunPtr a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> FunPtr a -> Int # hash :: FunPtr a -> Int #
Storable (FunPtr a)	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: FunPtr a -> Int # alignment :: FunPtr a -> Int # peekElemOff :: Ptr (FunPtr a) -> Int -> IO (FunPtr a) # pokeElemOff :: Ptr (FunPtr a) -> Int -> FunPtr a -> IO () # peekByteOff :: Ptr b -> Int -> IO (FunPtr a) # pokeByteOff :: Ptr b -> Int -> FunPtr a -> IO () # peek :: Ptr (FunPtr a) -> IO (FunPtr a) # poke :: Ptr (FunPtr a) -> FunPtr a -> IO () #
NFData (FunPtr a)	Since: deepseq-1.4.2.0
Instance details Defined in Control.DeepSeq Methods rnf :: FunPtr a -> () #
Prim (FunPtr a)
Instance details Defined in Data.Primitive.Types Methods sizeOf# :: FunPtr a -> Int# # alignment# :: FunPtr a -> Int# # indexByteArray# :: ByteArray# -> Int# -> FunPtr a # readByteArray# :: MutableByteArray# s -> Int# -> State# s -> (#State# s, FunPtr a#) # writeByteArray# :: MutableByteArray# s -> Int# -> FunPtr a -> State# s -> State# s # setByteArray# :: MutableByteArray# s -> Int# -> Int# -> FunPtr a -> State# s -> State# s # indexOffAddr# :: Addr# -> Int# -> FunPtr a # readOffAddr# :: Addr# -> Int# -> State# s -> (#State# s, FunPtr a#) # writeOffAddr# :: Addr# -> Int# -> FunPtr a -> State# s -> State# s # setOffAddr# :: Addr# -> Int# -> Int# -> FunPtr a -> State# s -> State# s #

data Either a b #

The Either type represents values with two possibilities: a value of type Either a b is either Left a or Right b.

The Either type is sometimes used to represent a value which is either correct or an error; by convention, the Left constructor is used to hold an error value and the Right constructor is used to hold a correct value (mnemonic: "right" also means "correct").

Examples

Expand

The type Either String Int is the type of values which can be either a String or an Int. The Left constructor can be used only on Strings, and the Right constructor can be used only on Ints:

>>> let s = Left "foo" :: Either String Int
>>> s
Left "foo"
>>> let n = Right 3 :: Either String Int
>>> n
Right 3
>>> :type s
s :: Either String Int
>>> :type n
n :: Either String Int

The fmap from our Functor instance will ignore Left values, but will apply the supplied function to values contained in a Right:

>>> let s = Left "foo" :: Either String Int
>>> let n = Right 3 :: Either String Int
>>> fmap (*2) s
Left "foo"
>>> fmap (*2) n
Right 6

The Monad instance for Either allows us to chain together multiple actions which may fail, and fail overall if any of the individual steps failed. First we'll write a function that can either parse an Int from a Char, or fail.

>>> import Data.Char ( digitToInt, isDigit )
>>> :{
    let parseEither :: Char -> Either String Int
        parseEither c
          | isDigit c = Right (digitToInt c)
          | otherwise = Left "parse error"
>>> :}

The following should work, since both '1' and '2' can be parsed as Ints.

>>> :{
    let parseMultiple :: Either String Int
        parseMultiple = do
          x <- parseEither '1'
          y <- parseEither '2'
          return (x + y)
>>> :}

>>> parseMultiple
Right 3

But the following should fail overall, since the first operation where we attempt to parse 'm' as an Int will fail:

>>> :{
    let parseMultiple :: Either String Int
        parseMultiple = do
          x <- parseEither 'm'
          y <- parseEither '2'
          return (x + y)
>>> :}

>>> parseMultiple
Left "parse error"

Constructors

Left a
Right b

Instances

ToJSON2 Either
Instance details Defined in Data.Aeson.Types.ToJSON Methods liftToJSON2 :: (a -> Value) -> ([a] -> Value) -> (b -> Value) -> ([b] -> Value) -> Either a b -> Value # liftToJSONList2 :: (a -> Value) -> ([a] -> Value) -> (b -> Value) -> ([b] -> Value) -> [Either a b] -> Value # liftToEncoding2 :: (a -> Encoding) -> ([a] -> Encoding) -> (b -> Encoding) -> ([b] -> Encoding) -> Either a b -> Encoding # liftToEncodingList2 :: (a -> Encoding) -> ([a] -> Encoding) -> (b -> Encoding) -> ([b] -> Encoding) -> [Either a b] -> Encoding #
FromJSON2 Either
Instance details Defined in Data.Aeson.Types.FromJSON Methods liftParseJSON2 :: (Value -> Parser a) -> (Value -> Parser [a]) -> (Value -> Parser b) -> (Value -> Parser [b]) -> Value -> Parser (Either a b) # liftParseJSONList2 :: (Value -> Parser a) -> (Value -> Parser [a]) -> (Value -> Parser b) -> (Value -> Parser [b]) -> Value -> Parser [Either a b] #
Bifunctor Either	Since: base-4.8.0.0
Instance details Defined in Data.Bifunctor Methods bimap :: (a -> b) -> (c -> d) -> Either a c -> Either b d # first :: (a -> b) -> Either a c -> Either b c # second :: (b -> c) -> Either a b -> Either a c #
Eq2 Either	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftEq2 :: (a -> b -> Bool) -> (c -> d -> Bool) -> Either a c -> Either b d -> Bool #
Ord2 Either	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftCompare2 :: (a -> b -> Ordering) -> (c -> d -> Ordering) -> Either a c -> Either b d -> Ordering #
Read2 Either	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftReadsPrec2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> Int -> ReadS (Either a b) # liftReadList2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [Either a b] # liftReadPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (Either a b) # liftReadListPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [Either a b] #
Show2 Either	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftShowsPrec2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> Int -> Either a b -> ShowS # liftShowList2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> [Either a b] -> ShowS #
NFData2 Either	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf2 :: (a -> ()) -> (b -> ()) -> Either a b -> () #
Hashable2 Either
Instance details Defined in Data.Hashable.Class Methods liftHashWithSalt2 :: (Int -> a -> Int) -> (Int -> b -> Int) -> Int -> Either a b -> Int #
MonadError e (Either e)
Instance details Defined in Control.Monad.Error.Class Methods throwError :: e -> Either e a # catchError :: Either e a -> (e -> Either e a) -> Either e a #
Monad (Either e)	Since: base-4.4.0.0
Instance details Defined in Data.Either Methods (>>=) :: Either e a -> (a -> Either e b) -> Either e b # (>>) :: Either e a -> Either e b -> Either e b # return :: a -> Either e a # fail :: String -> Either e a #
Functor (Either a)	Since: base-3.0
Instance details Defined in Data.Either Methods fmap :: (a0 -> b) -> Either a a0 -> Either a b # (<$) :: a0 -> Either a b -> Either a a0 #
MonadFix (Either e)	Since: base-4.3.0.0
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> Either e a) -> Either e a #
Applicative (Either e)	Since: base-3.0
Instance details Defined in Data.Either Methods pure :: a -> Either e a # (<>) :: Either e (a -> b) -> Either e a -> Either e b # liftA2 :: (a -> b -> c) -> Either e a -> Either e b -> Either e c # (>) :: Either e a -> Either e b -> Either e b # (<*) :: Either e a -> Either e b -> Either e a #
Foldable (Either a)	Since: base-4.7.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Either a m -> m # foldMap :: Monoid m => (a0 -> m) -> Either a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Either a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Either a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Either a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Either a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 # toList :: Either a a0 -> [a0] # null :: Either a a0 -> Bool # length :: Either a a0 -> Int # elem :: Eq a0 => a0 -> Either a a0 -> Bool # maximum :: Ord a0 => Either a a0 -> a0 # minimum :: Ord a0 => Either a a0 -> a0 # sum :: Num a0 => Either a a0 -> a0 # product :: Num a0 => Either a a0 -> a0 #
Traversable (Either a)	Since: base-4.7.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a0 -> f b) -> Either a a0 -> f (Either a b) # sequenceA :: Applicative f => Either a (f a0) -> f (Either a a0) # mapM :: Monad m => (a0 -> m b) -> Either a a0 -> m (Either a b) # sequence :: Monad m => Either a (m a0) -> m (Either a a0) #
ToJSON a => ToJSON1 (Either a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods liftToJSON :: (a0 -> Value) -> ([a0] -> Value) -> Either a a0 -> Value # liftToJSONList :: (a0 -> Value) -> ([a0] -> Value) -> [Either a a0] -> Value # liftToEncoding :: (a0 -> Encoding) -> ([a0] -> Encoding) -> Either a a0 -> Encoding # liftToEncodingList :: (a0 -> Encoding) -> ([a0] -> Encoding) -> [Either a a0] -> Encoding #
FromJSON a => FromJSON1 (Either a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods liftParseJSON :: (Value -> Parser a0) -> (Value -> Parser [a0]) -> Value -> Parser (Either a a0) # liftParseJSONList :: (Value -> Parser a0) -> (Value -> Parser [a0]) -> Value -> Parser [Either a a0] #
Eq a => Eq1 (Either a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftEq :: (a0 -> b -> Bool) -> Either a a0 -> Either a b -> Bool #
Ord a => Ord1 (Either a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftCompare :: (a0 -> b -> Ordering) -> Either a a0 -> Either a b -> Ordering #
Read a => Read1 (Either a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftReadsPrec :: (Int -> ReadS a0) -> ReadS [a0] -> Int -> ReadS (Either a a0) # liftReadList :: (Int -> ReadS a0) -> ReadS [a0] -> ReadS [Either a a0] # liftReadPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec (Either a a0) # liftReadListPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec [Either a a0] #
Show a => Show1 (Either a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftShowsPrec :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> Int -> Either a a0 -> ShowS # liftShowList :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> [Either a a0] -> ShowS #
NFData a => NFData1 (Either a)	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf :: (a0 -> ()) -> Either a a0 -> () #
e ~ SomeException => MonadThrow (Either e)
Instance details Defined in Control.Monad.Catch Methods throwM :: Exception e0 => e0 -> Either e a #
e ~ SomeException => MonadCatch (Either e)	Since: exceptions-0.8.3
Instance details Defined in Control.Monad.Catch Methods catch :: Exception e0 => Either e a -> (e0 -> Either e a) -> Either e a #
e ~ SomeException => MonadMask (Either e)	Since: exceptions-0.8.3
Instance details Defined in Control.Monad.Catch Methods mask :: ((forall a. Either e a -> Either e a) -> Either e b) -> Either e b # uninterruptibleMask :: ((forall a. Either e a -> Either e a) -> Either e b) -> Either e b # generalBracket :: Either e a -> (a -> ExitCase b -> Either e c) -> (a -> Either e b) -> Either e (b, c) #
Hashable a => Hashable1 (Either a)
Instance details Defined in Data.Hashable.Class Methods liftHashWithSalt :: (Int -> a0 -> Int) -> Int -> Either a a0 -> Int #
Monoid e => Filterable (Either e)
Instance details Defined in Data.Witherable Methods mapMaybe :: (a -> Maybe b) -> Either e a -> Either e b # catMaybes :: Either e (Maybe a) -> Either e a # filter :: (a -> Bool) -> Either e a -> Either e a #
Monoid e => Witherable (Either e)
Instance details Defined in Data.Witherable Methods wither :: Applicative f => (a -> f (Maybe b)) -> Either e a -> f (Either e b) # witherM :: Monad m => (a -> m (Maybe b)) -> Either e a -> m (Either e b) # filterA :: Applicative f => (a -> f Bool) -> Either e a -> f (Either e a) #
Generic1 (Either a :: Type -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (Either a) :: k -> Type # Methods from1 :: Either a a0 -> Rep1 (Either a) a0 # to1 :: Rep1 (Either a) a0 -> Either a a0 #
MonadBaseControl (Either e) (Either e)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM (Either e) a :: Type # Methods liftBaseWith :: (RunInBase (Either e) (Either e) -> Either e a) -> Either e a # restoreM :: StM (Either e) a -> Either e a #
(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 #
(Ord a, Ord b) => Ord (Either a b)	Since: base-2.1
Instance details Defined in Data.Either Methods compare :: Either a b -> Either a b -> Ordering # (<) :: Either a b -> Either a b -> Bool # (<=) :: Either a b -> Either a b -> Bool # (>) :: Either a b -> Either a b -> Bool # (>=) :: Either a b -> Either a b -> Bool # max :: Either a b -> Either a b -> Either a b # min :: Either a b -> Either a b -> Either a b #
(Read a, Read b) => Read (Either a b)	Since: base-3.0
Instance details Defined in Data.Either Methods readsPrec :: Int -> ReadS (Either a b) # readList :: ReadS [Either a b] # readPrec :: ReadPrec (Either a b) # readListPrec :: ReadPrec [Either a b] #
(Show a, Show b) => Show (Either a b)	Since: base-3.0
Instance details Defined in Data.Either Methods showsPrec :: Int -> Either a b -> ShowS # show :: Either a b -> String # showList :: [Either a b] -> ShowS #
Generic (Either a b)
Instance details Defined in GHC.Generics Associated Types type Rep (Either a b) :: Type -> Type # Methods from :: Either a b -> Rep (Either a b) x # to :: Rep (Either a b) x -> Either a b #
Semigroup (Either a b)	Since: base-4.9.0.0
Instance details Defined in Data.Either Methods (<>) :: Either a b -> Either a b -> Either a b # sconcat :: NonEmpty (Either a b) -> Either a b # stimes :: Integral b0 => b0 -> Either a b -> Either a b #
(Lift a, Lift b) => Lift (Either a b)
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Either a b -> Q Exp #
(Hashable a, Hashable b) => Hashable (Either a b)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Either a b -> Int # hash :: Either a b -> Int #
(ToJSON a, ToJSON b) => ToJSON (Either a b)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Either a b -> Value # toEncoding :: Either a b -> Encoding # toJSONList :: [Either a b] -> Value # toEncodingList :: [Either a b] -> Encoding #
(FromJSON a, FromJSON b) => FromJSON (Either a b)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Either a b) # parseJSONList :: Value -> Parser [Either a b] #
(NFData a, NFData b) => NFData (Either a b)
Instance details Defined in Control.DeepSeq Methods rnf :: Either a b -> () #
(FunctorWithIndex i f, FunctorWithIndex j g) => FunctorWithIndex (Either i j) (Sum f g)
Instance details Defined in Control.Lens.Indexed Methods imap :: (Either i j -> a -> b) -> Sum f g a -> Sum f g b # imapped :: IndexedSetter (Either i j) (Sum f g a) (Sum f g b) a b #
(FunctorWithIndex i f, FunctorWithIndex j g) => FunctorWithIndex (Either i j) (Product f g)
Instance details Defined in Control.Lens.Indexed Methods imap :: (Either i j -> a -> b) -> Product f g a -> Product f g b # imapped :: IndexedSetter (Either i j) (Product f g a) (Product f g b) a b #
(FunctorWithIndex i f, FunctorWithIndex j g) => FunctorWithIndex (Either i j) (f :+: g)
Instance details Defined in Control.Lens.Indexed Methods imap :: (Either i j -> a -> b) -> (f :+: g) a -> (f :+: g) b # imapped :: IndexedSetter (Either i j) ((f :+: g) a) ((f :+: g) b) a b #
(FunctorWithIndex i f, FunctorWithIndex j g) => FunctorWithIndex (Either i j) (f :*: g)
Instance details Defined in Control.Lens.Indexed Methods imap :: (Either i j -> a -> b) -> (f :: g) a -> (f :: g) b # imapped :: IndexedSetter (Either i j) ((f :: g) a) ((f :: g) b) a b #
(FoldableWithIndex i f, FoldableWithIndex j g) => FoldableWithIndex (Either i j) (Sum f g)
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Either i j -> a -> m) -> Sum f g a -> m # ifolded :: IndexedFold (Either i j) (Sum f g a) a # ifoldr :: (Either i j -> a -> b -> b) -> b -> Sum f g a -> b # ifoldl :: (Either i j -> b -> a -> b) -> b -> Sum f g a -> b # ifoldr' :: (Either i j -> a -> b -> b) -> b -> Sum f g a -> b # ifoldl' :: (Either i j -> b -> a -> b) -> b -> Sum f g a -> b #
(FoldableWithIndex i f, FoldableWithIndex j g) => FoldableWithIndex (Either i j) (Product f g)
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Either i j -> a -> m) -> Product f g a -> m # ifolded :: IndexedFold (Either i j) (Product f g a) a # ifoldr :: (Either i j -> a -> b -> b) -> b -> Product f g a -> b # ifoldl :: (Either i j -> b -> a -> b) -> b -> Product f g a -> b # ifoldr' :: (Either i j -> a -> b -> b) -> b -> Product f g a -> b # ifoldl' :: (Either i j -> b -> a -> b) -> b -> Product f g a -> b #
(FoldableWithIndex i f, FoldableWithIndex j g) => FoldableWithIndex (Either i j) (f :+: g)
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Either i j -> a -> m) -> (f :+: g) a -> m # ifolded :: IndexedFold (Either i j) ((f :+: g) a) a # ifoldr :: (Either i j -> a -> b -> b) -> b -> (f :+: g) a -> b # ifoldl :: (Either i j -> b -> a -> b) -> b -> (f :+: g) a -> b # ifoldr' :: (Either i j -> a -> b -> b) -> b -> (f :+: g) a -> b # ifoldl' :: (Either i j -> b -> a -> b) -> b -> (f :+: g) a -> b #
(FoldableWithIndex i f, FoldableWithIndex j g) => FoldableWithIndex (Either i j) (f :*: g)
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Either i j -> a -> m) -> (f :: g) a -> m # ifolded :: IndexedFold (Either i j) ((f :: g) a) a # ifoldr :: (Either i j -> a -> b -> b) -> b -> (f :: g) a -> b # ifoldl :: (Either i j -> b -> a -> b) -> b -> (f :: g) a -> b # ifoldr' :: (Either i j -> a -> b -> b) -> b -> (f :: g) a -> b # ifoldl' :: (Either i j -> b -> a -> b) -> b -> (f :: g) a -> b #
(TraversableWithIndex i f, TraversableWithIndex j g) => TraversableWithIndex (Either i j) (Sum f g)
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f0 => (Either i j -> a -> f0 b) -> Sum f g a -> f0 (Sum f g b) # itraversed :: IndexedTraversal (Either i j) (Sum f g a) (Sum f g b) a b #
(TraversableWithIndex i f, TraversableWithIndex j g) => TraversableWithIndex (Either i j) (Product f g)
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f0 => (Either i j -> a -> f0 b) -> Product f g a -> f0 (Product f g b) # itraversed :: IndexedTraversal (Either i j) (Product f g a) (Product f g b) a b #
(TraversableWithIndex i f, TraversableWithIndex j g) => TraversableWithIndex (Either i j) (f :+: g)
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f0 => (Either i j -> a -> f0 b) -> (f :+: g) a -> f0 ((f :+: g) b) # itraversed :: IndexedTraversal (Either i j) ((f :+: g) a) ((f :+: g) b) a b #
(TraversableWithIndex i f, TraversableWithIndex j g) => TraversableWithIndex (Either i j) (f :*: g)
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f0 => (Either i j -> a -> f0 b) -> (f :: g) a -> f0 ((f :: g) b) # itraversed :: IndexedTraversal (Either i j) ((f :: g) a) ((f :: g) b) a b #
type StM (Either e) a
Instance details Defined in Control.Monad.Trans.Control type StM (Either e) a = a
type Rep1 (Either a :: Type -> Type)	Since: base-4.6.0.0
Instance details Defined in GHC.Generics type Rep1 (Either a :: Type -> Type) = D1 (MetaData "Either" "Data.Either" "base" False) (C1 (MetaCons "Left" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 a)) :+: C1 (MetaCons "Right" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) Par1))
type Rep (Either a b)	Since: base-4.6.0.0
Instance details Defined in GHC.Generics type Rep (Either a b) = D1 (MetaData "Either" "Data.Either" "base" False) (C1 (MetaCons "Left" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 a)) :+: C1 (MetaCons "Right" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 b)))

type Type = Type #

The kind of types with values. For example Int :: Type.

data Constraint #

The kind of constraints, like Show a

data V1 (p :: k) :: forall k. k -> Type #

Void: used for datatypes without constructors

Instances

GToJSON Value arity (V1 :: Type -> Type)
Instance details Defined in Data.Aeson.Types.ToJSON Methods gToJSON :: Options -> ToArgs Value arity a -> V1 a -> Value
Generic1 (V1 :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 V1 :: k -> Type # Methods from1 :: V1 a -> Rep1 V1 a # to1 :: Rep1 V1 a -> V1 a #
GFromJSON arity (V1 :: Type -> Type)
Instance details Defined in Data.Aeson.Types.FromJSON Methods gParseJSON :: Options -> FromArgs arity a -> Value -> Parser (V1 a) #
GNFData arity (V1 :: Type -> Type)
Instance details Defined in Control.DeepSeq Methods grnf :: RnfArgs arity a -> V1 a -> ()
GPlated a (V1 :: Type -> Type)
Instance details Defined in Control.Lens.Plated Methods gplate' :: Traversal' (V1 p) a
FunctorWithIndex Void (V1 :: Type -> Type)
Instance details Defined in Control.Lens.Indexed Methods imap :: (Void -> a -> b) -> V1 a -> V1 b # imapped :: IndexedSetter Void (V1 a) (V1 b) a b #
FoldableWithIndex Void (V1 :: Type -> Type)
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Void -> a -> m) -> V1 a -> m # ifolded :: IndexedFold Void (V1 a) a # ifoldr :: (Void -> a -> b -> b) -> b -> V1 a -> b # ifoldl :: (Void -> b -> a -> b) -> b -> V1 a -> b # ifoldr' :: (Void -> a -> b -> b) -> b -> V1 a -> b # ifoldl' :: (Void -> b -> a -> b) -> b -> V1 a -> b #
TraversableWithIndex Void (V1 :: Type -> Type)
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => (Void -> a -> f b) -> V1 a -> f (V1 b) # itraversed :: IndexedTraversal Void (V1 a) (V1 b) a b #
Functor (V1 :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> V1 a -> V1 b # (<$) :: a -> V1 b -> V1 a #
Foldable (V1 :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => V1 m -> m # foldMap :: Monoid m => (a -> m) -> V1 a -> m # foldr :: (a -> b -> b) -> b -> V1 a -> b # foldr' :: (a -> b -> b) -> b -> V1 a -> b # foldl :: (b -> a -> b) -> b -> V1 a -> b # foldl' :: (b -> a -> b) -> b -> V1 a -> b # foldr1 :: (a -> a -> a) -> V1 a -> a # foldl1 :: (a -> a -> a) -> V1 a -> a # toList :: V1 a -> [a] # null :: V1 a -> Bool # length :: V1 a -> Int # elem :: Eq a => a -> V1 a -> Bool # maximum :: Ord a => V1 a -> a # minimum :: Ord a => V1 a -> a # sum :: Num a => V1 a -> a # product :: Num a => V1 a -> a #
Traversable (V1 :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> V1 a -> f (V1 b) # sequenceA :: Applicative f => V1 (f a) -> f (V1 a) # mapM :: Monad m => (a -> m b) -> V1 a -> m (V1 b) # sequence :: Monad m => V1 (m a) -> m (V1 a) #
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 #
Ord (V1 p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods compare :: V1 p -> V1 p -> Ordering # (<) :: V1 p -> V1 p -> Bool # (<=) :: V1 p -> V1 p -> Bool # (>) :: V1 p -> V1 p -> Bool # (>=) :: V1 p -> V1 p -> Bool # max :: V1 p -> V1 p -> V1 p # min :: V1 p -> V1 p -> V1 p #
Read (V1 p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods readsPrec :: Int -> ReadS (V1 p) # readList :: ReadS [V1 p] # readPrec :: ReadPrec (V1 p) # readListPrec :: ReadPrec [V1 p] #
Show (V1 p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> V1 p -> ShowS # show :: V1 p -> String # showList :: [V1 p] -> ShowS #
Generic (V1 p)
Instance details Defined in GHC.Generics Associated Types type Rep (V1 p) :: Type -> Type # Methods from :: V1 p -> Rep (V1 p) x # to :: Rep (V1 p) x -> V1 p #
Semigroup (V1 p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods (<>) :: V1 p -> V1 p -> V1 p # sconcat :: NonEmpty (V1 p) -> V1 p # stimes :: Integral b => b -> V1 p -> V1 p #
type Rep1 (V1 :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep1 (V1 :: k -> Type) = D1 (MetaData "V1" "GHC.Generics" "base" False) (V1 :: k -> Type)
type Rep (V1 p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep (V1 p) = D1 (MetaData "V1" "GHC.Generics" "base" False) (V1 :: Type -> Type)

data U1 (p :: k) :: forall k. k -> Type #

Unit: used for constructors without arguments

Constructors

U1

Instances

GToJSON Encoding arity (U1 :: Type -> Type)
Instance details Defined in Data.Aeson.Types.ToJSON Methods gToJSON :: Options -> ToArgs Encoding arity a -> U1 a -> Encoding
GToJSON Value arity (U1 :: Type -> Type)
Instance details Defined in Data.Aeson.Types.ToJSON Methods gToJSON :: Options -> ToArgs Value arity a -> U1 a -> Value
Generic1 (U1 :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 U1 :: k -> Type # Methods from1 :: U1 a -> Rep1 U1 a # to1 :: Rep1 U1 a -> U1 a #
GFromJSON arity (U1 :: Type -> Type)
Instance details Defined in Data.Aeson.Types.FromJSON Methods gParseJSON :: Options -> FromArgs arity a -> Value -> Parser (U1 a) #
GNFData arity (U1 :: Type -> Type)
Instance details Defined in Control.DeepSeq Methods grnf :: RnfArgs arity a -> U1 a -> ()
GPlated a (U1 :: Type -> Type)
Instance details Defined in Control.Lens.Plated Methods gplate' :: Traversal' (U1 p) a
FunctorWithIndex Void (U1 :: Type -> Type)
Instance details Defined in Control.Lens.Indexed Methods imap :: (Void -> a -> b) -> U1 a -> U1 b # imapped :: IndexedSetter Void (U1 a) (U1 b) a b #
FoldableWithIndex Void (U1 :: Type -> Type)
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Void -> a -> m) -> U1 a -> m # ifolded :: IndexedFold Void (U1 a) a # ifoldr :: (Void -> a -> b -> b) -> b -> U1 a -> b # ifoldl :: (Void -> b -> a -> b) -> b -> U1 a -> b # ifoldr' :: (Void -> a -> b -> b) -> b -> U1 a -> b # ifoldl' :: (Void -> b -> a -> b) -> b -> U1 a -> b #
TraversableWithIndex Void (U1 :: Type -> Type)
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => (Void -> a -> f b) -> U1 a -> f (U1 b) # itraversed :: IndexedTraversal Void (U1 a) (U1 b) a b #
Constructor c => FromUntaggedValue arity (C1 c (U1 :: Type -> Type))
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseUntaggedValue :: Options -> FromArgs arity a -> Value -> Parser (C1 c U1 a)
Constructor c => SumFromString (C1 c (U1 :: k -> Type) :: k -> Type)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseSumFromString :: Options -> Text -> Maybe (C1 c U1 a)
Monad (U1 :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (>>=) :: U1 a -> (a -> U1 b) -> U1 b # (>>) :: U1 a -> U1 b -> U1 b # return :: a -> U1 a # fail :: String -> U1 a #
Functor (U1 :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> U1 a -> U1 b # (<$) :: a -> U1 b -> U1 a #
Applicative (U1 :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods pure :: a -> U1 a # (<>) :: U1 (a -> b) -> U1 a -> U1 b # liftA2 :: (a -> b -> c) -> U1 a -> U1 b -> U1 c # (>) :: U1 a -> U1 b -> U1 b # (<*) :: U1 a -> U1 b -> U1 a #
Foldable (U1 :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => U1 m -> m # foldMap :: Monoid m => (a -> m) -> U1 a -> m # foldr :: (a -> b -> b) -> b -> U1 a -> b # foldr' :: (a -> b -> b) -> b -> U1 a -> b # foldl :: (b -> a -> b) -> b -> U1 a -> b # foldl' :: (b -> a -> b) -> b -> U1 a -> b # foldr1 :: (a -> a -> a) -> U1 a -> a # foldl1 :: (a -> a -> a) -> U1 a -> a # toList :: U1 a -> [a] # null :: U1 a -> Bool # length :: U1 a -> Int # elem :: Eq a => a -> U1 a -> Bool # maximum :: Ord a => U1 a -> a # minimum :: Ord a => U1 a -> a # sum :: Num a => U1 a -> a # product :: Num a => U1 a -> a #
Traversable (U1 :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> U1 a -> f (U1 b) # sequenceA :: Applicative f => U1 (f a) -> f (U1 a) # mapM :: Monad m => (a -> m b) -> U1 a -> m (U1 b) # sequence :: Monad m => U1 (m a) -> m (U1 a) #
MonadPlus (U1 :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods mzero :: U1 a # mplus :: U1 a -> U1 a -> U1 a #
Representable (U1 :: Type -> Type)
Instance details Defined in Data.Functor.Rep Associated Types type Rep U1 :: Type # Methods tabulate :: (Rep U1 -> a) -> U1 a # index :: U1 a -> Rep U1 -> a #
Alternative (U1 :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods empty :: U1 a # (<\|>) :: U1 a -> U1 a -> U1 a # some :: U1 a -> U1 [a] # many :: U1 a -> U1 [a] #
Monoid pairs => TaggedObject' enc pairs arity (U1 :: Type -> Type) False
Instance details Defined in Data.Aeson.Types.ToJSON Methods taggedObject' :: Options -> ToArgs enc arity a -> String -> U1 a -> Tagged False pairs
(Constructor c, FromString enc) => SumToJSON' UntaggedValue enc arity (C1 c (U1 :: Type -> Type))
Instance details Defined in Data.Aeson.Types.ToJSON Methods sumToJSON' :: Options -> ToArgs enc arity a -> C1 c U1 a -> Tagged UntaggedValue enc
FromTaggedObject'' arity (U1 :: Type -> Type) False
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseFromTaggedObject'' :: Options -> FromArgs arity a -> String -> Object -> Tagged False (Parser (U1 a))
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 #
Ord (U1 p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods compare :: U1 p -> U1 p -> Ordering # (<) :: U1 p -> U1 p -> Bool # (<=) :: U1 p -> U1 p -> Bool # (>) :: U1 p -> U1 p -> Bool # (>=) :: U1 p -> U1 p -> Bool # max :: U1 p -> U1 p -> U1 p # min :: U1 p -> U1 p -> U1 p #
Read (U1 p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods readsPrec :: Int -> ReadS (U1 p) # readList :: ReadS [U1 p] # readPrec :: ReadPrec (U1 p) # readListPrec :: ReadPrec [U1 p] #
Show (U1 p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> U1 p -> ShowS # show :: U1 p -> String # showList :: [U1 p] -> ShowS #
Generic (U1 p)
Instance details Defined in GHC.Generics Associated Types type Rep (U1 p) :: Type -> Type # Methods from :: U1 p -> Rep (U1 p) x # to :: Rep (U1 p) x -> U1 p #
Semigroup (U1 p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods (<>) :: U1 p -> U1 p -> U1 p # sconcat :: NonEmpty (U1 p) -> U1 p # stimes :: Integral b => b -> U1 p -> U1 p #
Monoid (U1 p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods mempty :: U1 p # mappend :: U1 p -> U1 p -> U1 p # mconcat :: [U1 p] -> U1 p #
type Rep1 (U1 :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep1 (U1 :: k -> Type) = D1 (MetaData "U1" "GHC.Generics" "base" False) (C1 (MetaCons "U1" PrefixI False) (U1 :: k -> Type))
type Rep (U1 :: Type -> Type)
Instance details Defined in Data.Functor.Rep type Rep (U1 :: Type -> Type) = Void
type GSize (U1 :: Type -> Type)
Instance details Defined in Control.Lens.Tuple type GSize (U1 :: Type -> Type) = Z
type Rep (U1 p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics type Rep (U1 p) = D1 (MetaData "U1" "GHC.Generics" "base" False) (C1 (MetaCons "U1" PrefixI False) (U1 :: Type -> Type))

newtype K1 i c (p :: k) :: forall k. Type -> Type -> k -> Type #

Constants, additional parameters and recursion of kind *

Constructors

K1
Fields unK1 :: c

Instances

(Selector s, GToJSON enc arity (K1 i (Maybe a) :: Type -> Type), KeyValuePair enc pairs, Monoid pairs) => RecordToPairs enc pairs arity (S1 s (K1 i (Maybe a) :: Type -> Type))
Instance details Defined in Data.Aeson.Types.ToJSON Methods recordToPairs :: Options -> ToArgs enc arity a0 -> S1 s (K1 i (Maybe a)) a0 -> pairs
(Selector s, GToJSON enc arity (K1 i (Maybe a) :: Type -> Type), KeyValuePair enc pairs, Monoid pairs) => RecordToPairs enc pairs arity (S1 s (K1 i (Option a) :: Type -> Type))
Instance details Defined in Data.Aeson.Types.ToJSON Methods recordToPairs :: Options -> ToArgs enc arity a0 -> S1 s (K1 i (Option a)) a0 -> pairs
ToJSON a => GToJSON Encoding arity (K1 i a :: Type -> Type)
Instance details Defined in Data.Aeson.Types.ToJSON Methods gToJSON :: Options -> ToArgs Encoding arity a0 -> K1 i a a0 -> Encoding
ToJSON a => GToJSON Value arity (K1 i a :: Type -> Type)
Instance details Defined in Data.Aeson.Types.ToJSON Methods gToJSON :: Options -> ToArgs Value arity a0 -> K1 i a a0 -> Value
Generic1 (K1 i c :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (K1 i c) :: k -> Type # Methods from1 :: K1 i c a -> Rep1 (K1 i c) a # to1 :: Rep1 (K1 i c) a -> K1 i c a #
FromJSON a => GFromJSON arity (K1 i a :: Type -> Type)
Instance details Defined in Data.Aeson.Types.FromJSON Methods gParseJSON :: Options -> FromArgs arity a0 -> Value -> Parser (K1 i a a0) #
NFData a => GNFData arity (K1 i a :: Type -> Type)
Instance details Defined in Control.DeepSeq Methods grnf :: RnfArgs arity a0 -> K1 i a a0 -> ()
GPlated a (K1 i a :: Type -> Type)
Instance details Defined in Control.Lens.Plated Methods gplate' :: Traversal' (K1 i a p) a
GPlated a (K1 i b :: Type -> Type)
Instance details Defined in Control.Lens.Plated Methods gplate' :: Traversal' (K1 i b p) a
FunctorWithIndex Void (K1 i c :: Type -> Type)
Instance details Defined in Control.Lens.Indexed Methods imap :: (Void -> a -> b) -> K1 i c a -> K1 i c b # imapped :: IndexedSetter Void (K1 i c a) (K1 i c b) a b #
FoldableWithIndex Void (K1 i c :: Type -> Type)
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Void -> a -> m) -> K1 i c a -> m # ifolded :: IndexedFold Void (K1 i c a) a # ifoldr :: (Void -> a -> b -> b) -> b -> K1 i c a -> b # ifoldl :: (Void -> b -> a -> b) -> b -> K1 i c a -> b # ifoldr' :: (Void -> a -> b -> b) -> b -> K1 i c a -> b # ifoldl' :: (Void -> b -> a -> b) -> b -> K1 i c a -> b #
TraversableWithIndex Void (K1 i c :: Type -> Type)
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => (Void -> a -> f b) -> K1 i c a -> f (K1 i c b) # itraversed :: IndexedTraversal Void (K1 i c a) (K1 i c b) a b #
(Selector s, FromJSON a) => FromRecord arity (S1 s (K1 i (Maybe a) :: Type -> Type))
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseRecord :: Options -> FromArgs arity a0 -> Object -> Parser (S1 s (K1 i (Maybe a)) a0)
(Selector s, FromJSON a) => FromRecord arity (S1 s (K1 i (Option a) :: Type -> Type))
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseRecord :: Options -> FromArgs arity a0 -> Object -> Parser (S1 s (K1 i (Option a)) a0)
GIxed N0 (K1 i a :: k -> Type) (K1 i b :: k -> Type) a b
Instance details Defined in Control.Lens.Tuple Methods gix :: f N0 -> Lens (K1 i a x) (K1 i b x) a b
Bifunctor (K1 i :: Type -> Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Bifunctor Methods bimap :: (a -> b) -> (c -> d) -> K1 i a c -> K1 i b d # first :: (a -> b) -> K1 i a c -> K1 i b c # second :: (b -> c) -> K1 i a b -> K1 i a c #
Functor (K1 i c :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> K1 i c a -> K1 i c b # (<$) :: a -> K1 i c b -> K1 i c a #
Monoid c => Applicative (K1 i c :: Type -> Type)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods pure :: a -> K1 i c a # (<>) :: K1 i c (a -> b) -> K1 i c a -> K1 i c b # liftA2 :: (a -> b -> c0) -> K1 i c a -> K1 i c b -> K1 i c c0 # (>) :: K1 i c a -> K1 i c b -> K1 i c b # (<*) :: K1 i c a -> K1 i c b -> K1 i c a #
Foldable (K1 i c :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => K1 i c m -> m # foldMap :: Monoid m => (a -> m) -> K1 i c a -> m # foldr :: (a -> b -> b) -> b -> K1 i c a -> b # foldr' :: (a -> b -> b) -> b -> K1 i c a -> b # foldl :: (b -> a -> b) -> b -> K1 i c a -> b # foldl' :: (b -> a -> b) -> b -> K1 i c a -> b # foldr1 :: (a -> a -> a) -> K1 i c a -> a # foldl1 :: (a -> a -> a) -> K1 i c a -> a # toList :: K1 i c a -> [a] # null :: K1 i c a -> Bool # length :: K1 i c a -> Int # elem :: Eq a => a -> K1 i c a -> Bool # maximum :: Ord a => K1 i c a -> a # minimum :: Ord a => K1 i c a -> a # sum :: Num a => K1 i c a -> a # product :: Num a => K1 i c a -> a #
Traversable (K1 i c :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> K1 i c a -> f (K1 i c b) # sequenceA :: Applicative f => K1 i c (f a) -> f (K1 i c a) # mapM :: Monad m => (a -> m b) -> K1 i c a -> m (K1 i c b) # sequence :: Monad m => K1 i c (m a) -> m (K1 i c a) #
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 #
Ord c => Ord (K1 i c p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods compare :: K1 i c p -> K1 i c p -> Ordering # (<) :: K1 i c p -> K1 i c p -> Bool # (<=) :: K1 i c p -> K1 i c p -> Bool # (>) :: K1 i c p -> K1 i c p -> Bool # (>=) :: K1 i c p -> K1 i c p -> Bool # max :: K1 i c p -> K1 i c p -> K1 i c p # min :: K1 i c p -> K1 i c p -> K1 i c p #
Read c => Read (K1 i c p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods readsPrec :: Int -> ReadS (K1 i c p) # readList :: ReadS [K1 i c p] # readPrec :: ReadPrec (K1 i c p) # readListPrec :: ReadPrec [K1 i c p] #
Show c => Show (K1 i c p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> K1 i c p -> ShowS # show :: K1 i c p -> String # showList :: [K1 i c p] -> ShowS #
Generic (K1 i c p)
Instance details Defined in GHC.Generics Associated Types type Rep (K1 i c p) :: Type -> Type # Methods from :: K1 i c p -> Rep (K1 i c p) x # to :: Rep (K1 i c p) x -> K1 i c p #
Semigroup c => Semigroup (K1 i c p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods (<>) :: K1 i c p -> K1 i c p -> K1 i c p # sconcat :: NonEmpty (K1 i c p) -> K1 i c p # stimes :: Integral b => b -> K1 i c p -> K1 i c p #
Monoid c => Monoid (K1 i c p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods mempty :: K1 i c p # mappend :: K1 i c p -> K1 i c p -> K1 i c p # mconcat :: [K1 i c p] -> K1 i c p #
Wrapped (K1 i c p)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (K1 i c p) :: Type # Methods _Wrapped' :: Iso' (K1 i c p) (Unwrapped (K1 i c p)) #
t ~ K1 i' c' p' => Rewrapped (K1 i c p) t
Instance details Defined in Control.Lens.Wrapped
type Rep1 (K1 i c :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep1 (K1 i c :: k -> Type) = D1 (MetaData "K1" "GHC.Generics" "base" True) (C1 (MetaCons "K1" PrefixI True) (S1 (MetaSel (Just "unK1") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 c)))
type GSize (K1 i c :: Type -> Type)
Instance details Defined in Control.Lens.Tuple type GSize (K1 i c :: Type -> Type) = S Z
type GUnwrapped (D1 d (C1 c (S1 s (Rec0 a))))
Instance details Defined in Control.Lens.Wrapped type GUnwrapped (D1 d (C1 c (S1 s (Rec0 a)))) = a
type Rep (K1 i c p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics type Rep (K1 i c p) = D1 (MetaData "K1" "GHC.Generics" "base" True) (C1 (MetaCons "K1" PrefixI True) (S1 (MetaSel (Just "unK1") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 c)))
type Unwrapped (K1 i c p)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (K1 i c p) = c

newtype M1 i (c :: Meta) (f :: k -> Type) (p :: k) :: forall k. Type -> Meta -> (k -> Type) -> k -> Type #

Meta-information (constructor names, etc.)

Constructors

M1
Fields unM1 :: f p

Instances

(Selector s, GToJSON enc arity a, KeyValuePair enc pairs) => RecordToPairs enc pairs arity (S1 s a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods recordToPairs :: Options -> ToArgs enc arity a0 -> S1 s a a0 -> pairs
(Selector s, GToJSON enc arity (K1 i (Maybe a) :: Type -> Type), KeyValuePair enc pairs, Monoid pairs) => RecordToPairs enc pairs arity (S1 s (K1 i (Maybe a) :: Type -> Type))
Instance details Defined in Data.Aeson.Types.ToJSON Methods recordToPairs :: Options -> ToArgs enc arity a0 -> S1 s (K1 i (Maybe a)) a0 -> pairs
(Selector s, GToJSON enc arity (K1 i (Maybe a) :: Type -> Type), KeyValuePair enc pairs, Monoid pairs) => RecordToPairs enc pairs arity (S1 s (K1 i (Option a) :: Type -> Type))
Instance details Defined in Data.Aeson.Types.ToJSON Methods recordToPairs :: Options -> ToArgs enc arity a0 -> S1 s (K1 i (Option a)) a0 -> pairs
GIxed n s t a b => GIxed (n :: k2) (M1 i c s :: k1 -> Type) (M1 i c t :: k1 -> Type) a b
Instance details Defined in Control.Lens.Tuple Methods gix :: f n -> Lens (M1 i c s x) (M1 i c t x) a b
(ConsToJSON enc arity a, AllNullary (C1 c a) allNullary, SumToJSON enc arity (C1 c a) allNullary) => GToJSON enc arity (D1 d (C1 c a))
Instance details Defined in Data.Aeson.Types.ToJSON Methods gToJSON :: Options -> ToArgs enc arity a0 -> D1 d (C1 c a) a0 -> enc
ConsToJSON enc arity a => GToJSON enc arity (C1 c a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods gToJSON :: Options -> ToArgs enc arity a0 -> C1 c a a0 -> enc
(IsRecord a isRecord, TaggedObject' enc pairs arity a isRecord, FromPairs enc pairs, FromString enc, KeyValuePair enc pairs, Constructor c) => TaggedObject enc arity (C1 c a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods taggedObject :: Options -> ToArgs enc arity a0 -> String -> String -> C1 c a a0 -> enc
GToJSON enc arity a => GToJSON enc arity (M1 i c a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods gToJSON :: Options -> ToArgs enc arity a0 -> M1 i c a a0 -> enc
Constructor c => GetConName (C1 c a :: k -> Type)
Instance details Defined in Data.Aeson.Types.ToJSON Methods getConName :: C1 c a a0 -> String
(ConsFromJSON arity a, AllNullary (C1 c a) allNullary, ParseSum arity (C1 c a) allNullary) => GFromJSON arity (D1 d (C1 c a))
Instance details Defined in Data.Aeson.Types.FromJSON Methods gParseJSON :: Options -> FromArgs arity a0 -> Value -> Parser (D1 d (C1 c a) a0) #
ConsFromJSON arity a => GFromJSON arity (C1 c a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods gParseJSON :: Options -> FromArgs arity a0 -> Value -> Parser (C1 c a a0) #
GHashable arity a => GSum arity (C1 c a)
Instance details Defined in Data.Hashable.Generic Methods hashSum :: HashArgs arity a0 -> Int -> Int -> C1 c a a0 -> Int
(Selector s, GFromJSON arity a) => FromRecord arity (S1 s a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseRecord :: Options -> FromArgs arity a0 -> Object -> Parser (S1 s a a0)
(Selector s, FromJSON a) => FromRecord arity (S1 s (K1 i (Maybe a) :: Type -> Type))
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseRecord :: Options -> FromArgs arity a0 -> Object -> Parser (S1 s (K1 i (Maybe a)) a0)
(Selector s, FromJSON a) => FromRecord arity (S1 s (K1 i (Option a) :: Type -> Type))
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseRecord :: Options -> FromArgs arity a0 -> Object -> Parser (S1 s (K1 i (Option a)) a0)
(Constructor c, GFromJSON arity a, ConsFromJSON arity a) => FromPair arity (C1 c a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parsePair :: Options -> FromArgs arity a0 -> Pair -> Maybe (Parser (C1 c a a0))
GFromJSON arity a => FromProduct arity (S1 s a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseProduct :: Options -> FromArgs arity a0 -> Array -> Int -> Int -> Parser (S1 s a a0)
(FromTaggedObject' arity f, Constructor c) => FromTaggedObject arity (C1 c f)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseFromTaggedObject :: Options -> FromArgs arity a -> String -> Object -> Text -> Maybe (Parser (C1 c f a))
(GFromJSON arity a, ConsFromJSON arity a) => FromUntaggedValue arity (C1 c a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseUntaggedValue :: Options -> FromArgs arity a0 -> Value -> Parser (C1 c a a0)
Constructor c => FromUntaggedValue arity (C1 c (U1 :: Type -> Type))
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseUntaggedValue :: Options -> FromArgs arity a -> Value -> Parser (C1 c U1 a)
Constructor c => SumFromString (C1 c (U1 :: k -> Type) :: k -> Type)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseSumFromString :: Options -> Text -> Maybe (C1 c U1 a)
Generic1 (M1 i c f :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (M1 i c f) :: k -> Type # Methods from1 :: M1 i c f a -> Rep1 (M1 i c f) a # to1 :: Rep1 (M1 i c f) a -> M1 i c f a #
GFromJSON arity a => GFromJSON arity (M1 i c a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods gParseJSON :: Options -> FromArgs arity a0 -> Value -> Parser (M1 i c a a0) #
GNFData arity a => GNFData arity (M1 i c a)
Instance details Defined in Control.DeepSeq Methods grnf :: RnfArgs arity a0 -> M1 i c a a0 -> ()
GPlated a f => GPlated a (M1 i c f)
Instance details Defined in Control.Lens.Plated Methods gplate' :: Traversal' (M1 i c f p) a
(GToJSON enc arity a, ConsToJSON enc arity a, FromPairs enc pairs, KeyValuePair enc pairs, Constructor c) => SumToJSON' ObjectWithSingleField enc arity (C1 c a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods sumToJSON' :: Options -> ToArgs enc arity a0 -> C1 c a a0 -> Tagged ObjectWithSingleField enc
(GToJSON Encoding arity a, ConsToJSON Encoding arity a, Constructor c) => SumToJSON' TwoElemArray Encoding arity (C1 c a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods sumToJSON' :: Options -> ToArgs Encoding arity a0 -> C1 c a a0 -> Tagged TwoElemArray Encoding
(GToJSON Value arity a, ConsToJSON Value arity a, Constructor c) => SumToJSON' TwoElemArray Value arity (C1 c a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods sumToJSON' :: Options -> ToArgs Value arity a0 -> C1 c a a0 -> Tagged TwoElemArray Value
ConsToJSON enc arity a => SumToJSON' UntaggedValue enc arity (C1 c a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods sumToJSON' :: Options -> ToArgs enc arity a0 -> C1 c a a0 -> Tagged UntaggedValue enc
(Constructor c, FromString enc) => SumToJSON' UntaggedValue enc arity (C1 c (U1 :: Type -> Type))
Instance details Defined in Data.Aeson.Types.ToJSON Methods sumToJSON' :: Options -> ToArgs enc arity a -> C1 c U1 a -> Tagged UntaggedValue enc
(RecordToPairs enc pairs arity (S1 s f), FromPairs enc pairs, GToJSON enc arity f) => ConsToJSON' enc arity (S1 s f) True
Instance details Defined in Data.Aeson.Types.ToJSON Methods consToJSON' :: Options -> ToArgs enc arity a -> S1 s f a -> Tagged True enc
(GFromJSON arity a, FromRecord arity (S1 s a)) => ConsFromJSON' arity (S1 s a) True
Instance details Defined in Data.Aeson.Types.FromJSON Methods consParseJSON' :: Options -> FromArgs arity a0 -> Value -> Tagged True (Parser (S1 s a a0))
SumSize (C1 c a)
Instance details Defined in Data.Hashable.Generic Methods sumSize :: Tagged (C1 c a)
GBinaryGet a => GSumGet (C1 c a)
Instance details Defined in Data.Binary.Generic Methods getSum :: (Ord word, Num word, Bits word) => word -> word -> Get (C1 c a a0)
SumSize (C1 c a)
Instance details Defined in Data.Binary.Generic Methods sumSize :: Tagged (C1 c a) Word64
GBinaryPut a => GSumPut (C1 c a)
Instance details Defined in Data.Binary.Generic Methods putSum :: (Num w, Bits w, Binary w) => w -> w -> C1 c a a0 -> Put
Monad f => Monad (M1 i c f)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (>>=) :: M1 i c f a -> (a -> M1 i c f b) -> M1 i c f b # (>>) :: M1 i c f a -> M1 i c f b -> M1 i c f b # return :: a -> M1 i c f a # fail :: String -> M1 i c f a #
Functor f => Functor (M1 i c f)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> M1 i c f a -> M1 i c f b # (<$) :: a -> M1 i c f b -> M1 i c f a #
MonadFix f => MonadFix (M1 i c f)	Since: base-4.9.0.0
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> M1 i c f a) -> M1 i c f a #
Applicative f => Applicative (M1 i c f)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods pure :: a -> M1 i c f a # (<>) :: M1 i c f (a -> b) -> M1 i c f a -> M1 i c f b # liftA2 :: (a -> b -> c0) -> M1 i c f a -> M1 i c f b -> M1 i c f c0 # (>) :: M1 i c f a -> M1 i c f b -> M1 i c f b # (<*) :: M1 i c f a -> M1 i c f b -> M1 i c f a #
Foldable f => Foldable (M1 i c f)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => M1 i c f m -> m # foldMap :: Monoid m => (a -> m) -> M1 i c f a -> m # foldr :: (a -> b -> b) -> b -> M1 i c f a -> b # foldr' :: (a -> b -> b) -> b -> M1 i c f a -> b # foldl :: (b -> a -> b) -> b -> M1 i c f a -> b # foldl' :: (b -> a -> b) -> b -> M1 i c f a -> b # foldr1 :: (a -> a -> a) -> M1 i c f a -> a # foldl1 :: (a -> a -> a) -> M1 i c f a -> a # toList :: M1 i c f a -> [a] # null :: M1 i c f a -> Bool # length :: M1 i c f a -> Int # elem :: Eq a => a -> M1 i c f a -> Bool # maximum :: Ord a => M1 i c f a -> a # minimum :: Ord a => M1 i c f a -> a # sum :: Num a => M1 i c f a -> a # product :: Num a => M1 i c f a -> a #
Traversable f => Traversable (M1 i c f)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> M1 i c f a -> f0 (M1 i c f b) # sequenceA :: Applicative f0 => M1 i c f (f0 a) -> f0 (M1 i c f a) # mapM :: Monad m => (a -> m b) -> M1 i c f a -> m (M1 i c f b) # sequence :: Monad m => M1 i c f (m a) -> m (M1 i c f a) #
MonadPlus f => MonadPlus (M1 i c f)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods mzero :: M1 i c f a # mplus :: M1 i c f a -> M1 i c f a -> M1 i c f a #
Representable f => Representable (M1 i c f)
Instance details Defined in Data.Functor.Rep Associated Types type Rep (M1 i c f) :: Type # Methods tabulate :: (Rep (M1 i c f) -> a) -> M1 i c f a # index :: M1 i c f a -> Rep (M1 i c f) -> a #
Alternative f => Alternative (M1 i c f)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods empty :: M1 i c f a # (<\|>) :: M1 i c f a -> M1 i c f a -> M1 i c f a # some :: M1 i c f a -> M1 i c f [a] # many :: M1 i c f a -> M1 i c f [a] #
GIndex f => GIndex (M1 i c f)
Instance details Defined in Data.Functor.Rep Methods gindex' :: M1 i c f a -> GRep' (M1 i c f) -> a
GTabulate f => GTabulate (M1 i c f)
Instance details Defined in Data.Functor.Rep Methods gtabulate' :: (GRep' (M1 i c f) -> a) -> M1 i c f a
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 #
Ord (f p) => Ord (M1 i c f p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods compare :: M1 i c f p -> M1 i c f p -> Ordering # (<) :: M1 i c f p -> M1 i c f p -> Bool # (<=) :: M1 i c f p -> M1 i c f p -> Bool # (>) :: M1 i c f p -> M1 i c f p -> Bool # (>=) :: M1 i c f p -> M1 i c f p -> Bool # max :: M1 i c f p -> M1 i c f p -> M1 i c f p # min :: M1 i c f p -> M1 i c f p -> M1 i c f p #
Read (f p) => Read (M1 i c f p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods readsPrec :: Int -> ReadS (M1 i c f p) # readList :: ReadS [M1 i c f p] # readPrec :: ReadPrec (M1 i c f p) # readListPrec :: ReadPrec [M1 i c f p] #
Show (f p) => Show (M1 i c f p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> M1 i c f p -> ShowS # show :: M1 i c f p -> String # showList :: [M1 i c f p] -> ShowS #
Generic (M1 i c f p)
Instance details Defined in GHC.Generics Associated Types type Rep (M1 i c f p) :: Type -> Type # Methods from :: M1 i c f p -> Rep (M1 i c f p) x # to :: Rep (M1 i c f p) x -> M1 i c f p #
Semigroup (f p) => Semigroup (M1 i c f p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods (<>) :: M1 i c f p -> M1 i c f p -> M1 i c f p # sconcat :: NonEmpty (M1 i c f p) -> M1 i c f p # stimes :: Integral b => b -> M1 i c f p -> M1 i c f p #
Monoid (f p) => Monoid (M1 i c f p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods mempty :: M1 i c f p # mappend :: M1 i c f p -> M1 i c f p -> M1 i c f p # mconcat :: [M1 i c f p] -> M1 i c f p #
Wrapped (M1 i c f p)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (M1 i c f p) :: Type # Methods _Wrapped' :: Iso' (M1 i c f p) (Unwrapped (M1 i c f p)) #
t ~ M1 i' c' f' p' => Rewrapped (M1 i c f p) t
Instance details Defined in Control.Lens.Wrapped
type Rep1 (M1 i c f :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep1 (M1 i c f :: k -> Type) = D1 (MetaData "M1" "GHC.Generics" "base" True) (C1 (MetaCons "M1" PrefixI True) (S1 (MetaSel (Just "unM1") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 f)))
type GUnwrapped (D1 d (C1 c (S1 s (Rec0 a))))
Instance details Defined in Control.Lens.Wrapped type GUnwrapped (D1 d (C1 c (S1 s (Rec0 a)))) = a
type Rep (M1 i c f)
Instance details Defined in Data.Functor.Rep type Rep (M1 i c f) = Rep f
type GRep' (M1 i c f)
Instance details Defined in Data.Functor.Rep type GRep' (M1 i c f) = GRep' f
type GSize (M1 i c f)
Instance details Defined in Control.Lens.Tuple type GSize (M1 i c f) = GSize f
type Rep (M1 i c f p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics type Rep (M1 i c f p) = D1 (MetaData "M1" "GHC.Generics" "base" True) (C1 (MetaCons "M1" PrefixI True) (S1 (MetaSel (Just "unM1") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (f p))))
type Unwrapped (M1 i c f p)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (M1 i c f p) = f p

data ((f :: k -> Type) :+: (g :: k -> Type)) (p :: k) :: forall k. (k -> Type) -> (k -> Type) -> k -> Type infixr 5 #

Sums: encode choice between constructors

Constructors

L1 (f p)
R1 (g p)

Instances

(SumToJSON' s enc arity a, SumToJSON' s enc arity b) => SumToJSON' (s :: k) enc arity (a :+: b)
Instance details Defined in Data.Aeson.Types.ToJSON Methods sumToJSON' :: Options -> ToArgs enc arity a0 -> (a :+: b) a0 -> Tagged s enc
(AllNullary (a :+: b) allNullary, SumToJSON enc arity (a :+: b) allNullary) => GToJSON enc arity (a :+: b)
Instance details Defined in Data.Aeson.Types.ToJSON Methods gToJSON :: Options -> ToArgs enc arity a0 -> (a :+: b) a0 -> enc
(TaggedObject enc arity a, TaggedObject enc arity b) => TaggedObject enc arity (a :+: b)
Instance details Defined in Data.Aeson.Types.ToJSON Methods taggedObject :: Options -> ToArgs enc arity a0 -> String -> String -> (a :+: b) a0 -> enc
Generic1 (f :+: g :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (f :+: g) :: k -> Type # Methods from1 :: (f :+: g) a -> Rep1 (f :+: g) a # to1 :: Rep1 (f :+: g) a -> (f :+: g) a #
(GetConName a, GetConName b) => GetConName (a :+: b :: k -> Type)
Instance details Defined in Data.Aeson.Types.ToJSON Methods getConName :: (a :+: b) a0 -> String
(AllNullary (a :+: b) allNullary, ParseSum arity (a :+: b) allNullary) => GFromJSON arity (a :+: b)
Instance details Defined in Data.Aeson.Types.FromJSON Methods gParseJSON :: Options -> FromArgs arity a0 -> Value -> Parser ((a :+: b) a0) #
(GNFData arity a, GNFData arity b) => GNFData arity (a :+: b)
Instance details Defined in Control.DeepSeq Methods grnf :: RnfArgs arity a0 -> (a :+: b) a0 -> ()
(GPlated a f, GPlated a g) => GPlated a (f :+: g)
Instance details Defined in Control.Lens.Plated Methods gplate' :: Traversal' ((f :+: g) p) a
(GSum arity a, GSum arity b) => GSum arity (a :+: b)
Instance details Defined in Data.Hashable.Generic Methods hashSum :: HashArgs arity a0 -> Int -> Int -> (a :+: b) a0 -> Int
(FromPair arity a, FromPair arity b) => FromPair arity (a :+: b)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parsePair :: Options -> FromArgs arity a0 -> Pair -> Maybe (Parser ((a :+: b) a0))
(FromTaggedObject arity a, FromTaggedObject arity b) => FromTaggedObject arity (a :+: b)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseFromTaggedObject :: Options -> FromArgs arity a0 -> String -> Object -> Text -> Maybe (Parser ((a :+: b) a0))
(FromUntaggedValue arity a, FromUntaggedValue arity b) => FromUntaggedValue arity (a :+: b)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseUntaggedValue :: Options -> FromArgs arity a0 -> Value -> Parser ((a :+: b) a0)
(SumFromString a, SumFromString b) => SumFromString (a :+: b :: k -> Type)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseSumFromString :: Options -> Text -> Maybe ((a :+: b) a0)
(FunctorWithIndex i f, FunctorWithIndex j g) => FunctorWithIndex (Either i j) (f :+: g)
Instance details Defined in Control.Lens.Indexed Methods imap :: (Either i j -> a -> b) -> (f :+: g) a -> (f :+: g) b # imapped :: IndexedSetter (Either i j) ((f :+: g) a) ((f :+: g) b) a b #
(FoldableWithIndex i f, FoldableWithIndex j g) => FoldableWithIndex (Either i j) (f :+: g)
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Either i j -> a -> m) -> (f :+: g) a -> m # ifolded :: IndexedFold (Either i j) ((f :+: g) a) a # ifoldr :: (Either i j -> a -> b -> b) -> b -> (f :+: g) a -> b # ifoldl :: (Either i j -> b -> a -> b) -> b -> (f :+: g) a -> b # ifoldr' :: (Either i j -> a -> b -> b) -> b -> (f :+: g) a -> b # ifoldl' :: (Either i j -> b -> a -> b) -> b -> (f :+: g) a -> b #
(TraversableWithIndex i f, TraversableWithIndex j g) => TraversableWithIndex (Either i j) (f :+: g)
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f0 => (Either i j -> a -> f0 b) -> (f :+: g) a -> f0 ((f :+: g) b) # itraversed :: IndexedTraversal (Either i j) ((f :+: g) a) ((f :+: g) b) a b #
(Functor f, Functor g) => Functor (f :+: g)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> (f :+: g) a -> (f :+: g) b # (<$) :: a -> (f :+: g) b -> (f :+: g) a #
(Foldable f, Foldable g) => Foldable (f :+: g)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => (f :+: g) m -> m # foldMap :: Monoid m => (a -> m) -> (f :+: g) a -> m # foldr :: (a -> b -> b) -> b -> (f :+: g) a -> b # foldr' :: (a -> b -> b) -> b -> (f :+: g) a -> b # foldl :: (b -> a -> b) -> b -> (f :+: g) a -> b # foldl' :: (b -> a -> b) -> b -> (f :+: g) a -> b # foldr1 :: (a -> a -> a) -> (f :+: g) a -> a # foldl1 :: (a -> a -> a) -> (f :+: g) a -> a # toList :: (f :+: g) a -> [a] # null :: (f :+: g) a -> Bool # length :: (f :+: g) a -> Int # elem :: Eq a => a -> (f :+: g) a -> Bool # maximum :: Ord a => (f :+: g) a -> a # minimum :: Ord a => (f :+: g) a -> a # sum :: Num a => (f :+: g) a -> a # product :: Num a => (f :+: g) a -> a #
(Traversable f, Traversable g) => Traversable (f :+: g)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> (f :+: g) a -> f0 ((f :+: g) b) # sequenceA :: Applicative f0 => (f :+: g) (f0 a) -> f0 ((f :+: g) a) # mapM :: Monad m => (a -> m b) -> (f :+: g) a -> m ((f :+: g) b) # sequence :: Monad m => (f :+: g) (m a) -> m ((f :+: g) a) #
(SumSize a, SumSize b) => SumSize (a :+: b)
Instance details Defined in Data.Hashable.Generic Methods sumSize :: Tagged (a :+: b)
(GSumGet a, GSumGet b) => GSumGet (a :+: b)
Instance details Defined in Data.Binary.Generic Methods getSum :: (Ord word, Num word, Bits word) => word -> word -> Get ((a :+: b) a0)
(SumSize a, SumSize b) => SumSize (a :+: b)
Instance details Defined in Data.Binary.Generic Methods sumSize :: Tagged (a :+: b) Word64
(GSumPut a, GSumPut b) => GSumPut (a :+: b)
Instance details Defined in Data.Binary.Generic Methods putSum :: (Num w, Bits w, Binary w) => w -> w -> (a :+: b) a0 -> Put
(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 #
(Ord (f p), Ord (g p)) => Ord ((f :+: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods compare :: (f :+: g) p -> (f :+: g) p -> Ordering # (<) :: (f :+: g) p -> (f :+: g) p -> Bool # (<=) :: (f :+: g) p -> (f :+: g) p -> Bool # (>) :: (f :+: g) p -> (f :+: g) p -> Bool # (>=) :: (f :+: g) p -> (f :+: g) p -> Bool # max :: (f :+: g) p -> (f :+: g) p -> (f :+: g) p # min :: (f :+: g) p -> (f :+: g) p -> (f :+: g) p #
(Read (f p), Read (g p)) => Read ((f :+: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods readsPrec :: Int -> ReadS ((f :+: g) p) # readList :: ReadS [(f :+: g) p] # readPrec :: ReadPrec ((f :+: g) p) # readListPrec :: ReadPrec [(f :+: g) p] #
(Show (f p), Show (g p)) => Show ((f :+: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> (f :+: g) p -> ShowS # show :: (f :+: g) p -> String # showList :: [(f :+: g) p] -> ShowS #
Generic ((f :+: g) p)
Instance details Defined in GHC.Generics Associated Types type Rep ((f :+: g) p) :: Type -> Type # Methods from :: (f :+: g) p -> Rep ((f :+: g) p) x # to :: Rep ((f :+: g) p) x -> (f :+: g) p #
type Rep1 (f :+: g :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep1 (f :+: g :: k -> Type) = D1 (MetaData ":+:" "GHC.Generics" "base" False) (C1 (MetaCons "L1" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 f)) :+: C1 (MetaCons "R1" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 g)))
type Rep ((f :+: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics type Rep ((f :+: g) p) = D1 (MetaData ":+:" "GHC.Generics" "base" False) (C1 (MetaCons "L1" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (f p))) :+: C1 (MetaCons "R1" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (g p))))

data ((f :: k -> Type) :*: (g :: k -> Type)) (p :: k) :: forall k. (k -> Type) -> (k -> Type) -> k -> Type infixr 6 #

Products: encode multiple arguments to constructors

Constructors

(f p) :*: (g p) infixr 6

Instances

(Monoid pairs, RecordToPairs enc pairs arity a, RecordToPairs enc pairs arity b) => RecordToPairs enc pairs arity (a :*: b)
Instance details Defined in Data.Aeson.Types.ToJSON Methods recordToPairs :: Options -> ToArgs enc arity a0 -> (a :*: b) a0 -> pairs
(EncodeProduct arity a, EncodeProduct arity b) => GToJSON Encoding arity (a :*: b)
Instance details Defined in Data.Aeson.Types.ToJSON Methods gToJSON :: Options -> ToArgs Encoding arity a0 -> (a :*: b) a0 -> Encoding
(WriteProduct arity a, WriteProduct arity b, ProductSize a, ProductSize b) => GToJSON Value arity (a :*: b)
Instance details Defined in Data.Aeson.Types.ToJSON Methods gToJSON :: Options -> ToArgs Value arity a0 -> (a :*: b) a0 -> Value
Generic1 (f :*: g :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (f :: g) :: k -> Type # Methods from1 :: (f :: g) a -> Rep1 (f :: g) a # to1 :: Rep1 (f :: g) a -> (f :*: g) a #
(FromProduct arity a, FromProduct arity b, ProductSize a, ProductSize b) => GFromJSON arity (a :*: b)
Instance details Defined in Data.Aeson.Types.FromJSON Methods gParseJSON :: Options -> FromArgs arity a0 -> Value -> Parser ((a :*: b) a0) #
(GNFData arity a, GNFData arity b) => GNFData arity (a :*: b)
Instance details Defined in Control.DeepSeq Methods grnf :: RnfArgs arity a0 -> (a :*: b) a0 -> ()
(GPlated a f, GPlated a g) => GPlated a (f :*: g)
Instance details Defined in Control.Lens.Plated Methods gplate' :: Traversal' ((f :*: g) p) a
(EncodeProduct arity a, EncodeProduct arity b) => EncodeProduct arity (a :*: b)
Instance details Defined in Data.Aeson.Types.ToJSON Methods encodeProduct :: Options -> ToArgs Encoding arity a0 -> (a :*: b) a0 -> Encoding' InArray
(WriteProduct arity a, WriteProduct arity b) => WriteProduct arity (a :*: b)
Instance details Defined in Data.Aeson.Types.ToJSON Methods writeProduct :: Options -> ToArgs Value arity a0 -> MVector s Value -> Int -> Int -> (a :*: b) a0 -> ST s ()
(FromRecord arity a, FromRecord arity b) => FromRecord arity (a :*: b)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseRecord :: Options -> FromArgs arity a0 -> Object -> Parser ((a :*: b) a0)
(FromProduct arity a, FromProduct arity b) => FromProduct arity (a :*: b)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseProduct :: Options -> FromArgs arity a0 -> Array -> Int -> Int -> Parser ((a :*: b) a0)
(p ~ GT (GSize s) n, p ~ GT (GSize t) n, GIxed' p n s s' t t' a b) => GIxed (n :: Type) (s :: s' :: Type -> Type) (t :: t' :: Type -> Type) a b
Instance details Defined in Control.Lens.Tuple Methods gix :: f n -> Lens ((s :: s') x) ((t :: t') x) a b
(FunctorWithIndex i f, FunctorWithIndex j g) => FunctorWithIndex (Either i j) (f :*: g)
Instance details Defined in Control.Lens.Indexed Methods imap :: (Either i j -> a -> b) -> (f :: g) a -> (f :: g) b # imapped :: IndexedSetter (Either i j) ((f :: g) a) ((f :: g) b) a b #
(FoldableWithIndex i f, FoldableWithIndex j g) => FoldableWithIndex (Either i j) (f :*: g)
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Either i j -> a -> m) -> (f :: g) a -> m # ifolded :: IndexedFold (Either i j) ((f :: g) a) a # ifoldr :: (Either i j -> a -> b -> b) -> b -> (f :: g) a -> b # ifoldl :: (Either i j -> b -> a -> b) -> b -> (f :: g) a -> b # ifoldr' :: (Either i j -> a -> b -> b) -> b -> (f :: g) a -> b # ifoldl' :: (Either i j -> b -> a -> b) -> b -> (f :: g) a -> b #
(TraversableWithIndex i f, TraversableWithIndex j g) => TraversableWithIndex (Either i j) (f :*: g)
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f0 => (Either i j -> a -> f0 b) -> (f :: g) a -> f0 ((f :: g) b) # itraversed :: IndexedTraversal (Either i j) ((f :: g) a) ((f :: g) b) a b #
(Monad f, Monad g) => Monad (f :*: g)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (>>=) :: (f :: g) a -> (a -> (f :: g) b) -> (f :: g) b # (>>) :: (f :: g) a -> (f :: g) b -> (f :: g) b # return :: a -> (f :: g) a # fail :: String -> (f :: g) a #
(Functor f, Functor g) => Functor (f :*: g)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> (f :: g) a -> (f :: g) b # (<$) :: a -> (f :: g) b -> (f :: g) a #
(MonadFix f, MonadFix g) => MonadFix (f :*: g)	Since: base-4.9.0.0
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> (f :: g) a) -> (f :: g) a #
(Applicative f, Applicative g) => Applicative (f :*: g)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods pure :: a -> (f :: g) a # (<>) :: (f :: g) (a -> b) -> (f :: g) a -> (f :: g) b # liftA2 :: (a -> b -> c) -> (f :: g) a -> (f :: g) b -> (f :: g) c # (>) :: (f :: g) a -> (f :: g) b -> (f :: g) b # (<) :: (f :: g) a -> (f :: g) b -> (f :: g) a #
(Foldable f, Foldable g) => Foldable (f :*: g)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => (f :: g) m -> m # foldMap :: Monoid m => (a -> m) -> (f :: g) a -> m # foldr :: (a -> b -> b) -> b -> (f :: g) a -> b # foldr' :: (a -> b -> b) -> b -> (f :: g) a -> b # foldl :: (b -> a -> b) -> b -> (f :: g) a -> b # foldl' :: (b -> a -> b) -> b -> (f :: g) a -> b # foldr1 :: (a -> a -> a) -> (f :: g) a -> a # foldl1 :: (a -> a -> a) -> (f :: g) a -> a # toList :: (f :: g) a -> [a] # null :: (f :: g) a -> Bool # length :: (f :: g) a -> Int # elem :: Eq a => a -> (f :: g) a -> Bool # maximum :: Ord a => (f :: g) a -> a # minimum :: Ord a => (f :: g) a -> a # sum :: Num a => (f :: g) a -> a # product :: Num a => (f :: g) a -> a #
(Traversable f, Traversable g) => Traversable (f :*: g)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> (f :: g) a -> f0 ((f :: g) b) # sequenceA :: Applicative f0 => (f :: g) (f0 a) -> f0 ((f :: g) a) # mapM :: Monad m => (a -> m b) -> (f :: g) a -> m ((f :: g) b) # sequence :: Monad m => (f :: g) (m a) -> m ((f :: g) a) #
(MonadPlus f, MonadPlus g) => MonadPlus (f :*: g)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods mzero :: (f :: g) a # mplus :: (f :: g) a -> (f :: g) a -> (f :: g) a #
(Representable f, Representable g) => Representable (f :*: g)
Instance details Defined in Data.Functor.Rep Associated Types type Rep (f :: g) :: Type # Methods tabulate :: (Rep (f :: g) -> a) -> (f :: g) a # index :: (f :: g) a -> Rep (f :*: g) -> a #
(Alternative f, Alternative g) => Alternative (f :*: g)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods empty :: (f :: g) a # (<\|>) :: (f :: g) a -> (f :: g) a -> (f :: g) a # some :: (f :: g) a -> (f :: g) [a] # many :: (f :: g) a -> (f :: g) [a] #
(GIndex f, GIndex g) => GIndex (f :*: g)
Instance details Defined in Data.Functor.Rep Methods gindex' :: (f :: g) a -> GRep' (f :: g) -> a
(GTabulate f, GTabulate g) => GTabulate (f :*: g)
Instance details Defined in Data.Functor.Rep Methods gtabulate' :: (GRep' (f :: g) -> a) -> (f :: g) a
(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 #
(Ord (f p), Ord (g p)) => Ord ((f :*: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods compare :: (f :: g) p -> (f :: g) p -> Ordering # (<) :: (f :: g) p -> (f :: g) p -> Bool # (<=) :: (f :: g) p -> (f :: g) p -> Bool # (>) :: (f :: g) p -> (f :: g) p -> Bool # (>=) :: (f :: g) p -> (f :: g) p -> Bool # max :: (f :: g) p -> (f :: g) p -> (f :: g) p # min :: (f :: g) p -> (f :: g) p -> (f :: g) p #
(Read (f p), Read (g p)) => Read ((f :*: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods readsPrec :: Int -> ReadS ((f :: g) p) # readList :: ReadS [(f :: g) p] # readPrec :: ReadPrec ((f :: g) p) # readListPrec :: ReadPrec [(f :: g) p] #
(Show (f p), Show (g p)) => Show ((f :*: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> (f :: g) p -> ShowS # show :: (f :: g) p -> String # showList :: [(f :*: g) p] -> ShowS #
Generic ((f :*: g) p)
Instance details Defined in GHC.Generics Associated Types type Rep ((f :: g) p) :: Type -> Type # Methods from :: (f :: g) p -> Rep ((f :: g) p) x # to :: Rep ((f :: g) p) x -> (f :*: g) p #
(Semigroup (f p), Semigroup (g p)) => Semigroup ((f :*: g) p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods (<>) :: (f :: g) p -> (f :: g) p -> (f :: g) p # sconcat :: NonEmpty ((f :: g) p) -> (f :: g) p # stimes :: Integral b => b -> (f :: g) p -> (f :*: g) p #
(Monoid (f p), Monoid (g p)) => Monoid ((f :*: g) p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods mempty :: (f :: g) p # mappend :: (f :: g) p -> (f :: g) p -> (f :: g) p # mconcat :: [(f :: g) p] -> (f :: g) p #
Field1 ((f :: g) p) ((f' :: g) p) (f p) (f' p)
Instance details Defined in Control.Lens.Tuple Methods _1 :: Lens ((f :: g) p) ((f' :: g) p) (f p) (f' p) #
Field2 ((f :: g) p) ((f :: g') p) (g p) (g' p)
Instance details Defined in Control.Lens.Tuple Methods _2 :: Lens ((f :: g) p) ((f :: g') p) (g p) (g' p) #
type Rep1 (f :*: g :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep1 (f :: g :: k -> Type) = D1 (MetaData "::" "GHC.Generics" "base" False) (C1 (MetaCons "::" (InfixI RightAssociative 6) False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 f) :: S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 g)))
type Rep (f :*: g)
Instance details Defined in Data.Functor.Rep type Rep (f :*: g) = Either (Rep f) (Rep g)
type GRep' (f :*: g)
Instance details Defined in Data.Functor.Rep type GRep' (f :*: g) = Either (GRep' f) (GRep' g)
type GSize (a :*: b)
Instance details Defined in Control.Lens.Tuple type GSize (a :*: b) = Add (GSize a) (GSize b)
type Rep ((f :*: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics type Rep ((f :: g) p) = D1 (MetaData "::" "GHC.Generics" "base" False) (C1 (MetaCons "::" (InfixI RightAssociative 6) False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (f p)) :: S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (g p))))

newtype ((f :: k2 -> Type) :.: (g :: k1 -> k2)) (p :: k1) :: forall k2 k1. (k2 -> Type) -> (k1 -> k2) -> k1 -> Type infixr 7 #

Composition of functors

Constructors

Comp1
Fields unComp1 :: f (g p)

Instances

(ToJSON1 f, GToJSON Encoding One g) => GToJSON Encoding One (f :.: g)
Instance details Defined in Data.Aeson.Types.ToJSON Methods gToJSON :: Options -> ToArgs Encoding One a -> (f :.: g) a -> Encoding
(ToJSON1 f, GToJSON Value One g) => GToJSON Value One (f :.: g)
Instance details Defined in Data.Aeson.Types.ToJSON Methods gToJSON :: Options -> ToArgs Value One a -> (f :.: g) a -> Value
Functor f => Generic1 (f :.: g :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (f :.: g) :: k -> Type # Methods from1 :: (f :.: g) a -> Rep1 (f :.: g) a # to1 :: Rep1 (f :.: g) a -> (f :.: g) a #
(FromJSON1 f, GFromJSON One g) => GFromJSON One (f :.: g)
Instance details Defined in Data.Aeson.Types.FromJSON Methods gParseJSON :: Options -> FromArgs One a -> Value -> Parser ((f :.: g) a) #
(NFData1 f, GNFData One g) => GNFData One (f :.: g)
Instance details Defined in Control.DeepSeq Methods grnf :: RnfArgs One a -> (f :.: g) a -> ()
(FunctorWithIndex i f, FunctorWithIndex j g) => FunctorWithIndex (i, j) (f :.: g)
Instance details Defined in Control.Lens.Indexed Methods imap :: ((i, j) -> a -> b) -> (f :.: g) a -> (f :.: g) b # imapped :: IndexedSetter (i, j) ((f :.: g) a) ((f :.: g) b) a b #
(FoldableWithIndex i f, FoldableWithIndex j g) => FoldableWithIndex (i, j) (f :.: g)
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => ((i, j) -> a -> m) -> (f :.: g) a -> m # ifolded :: IndexedFold (i, j) ((f :.: g) a) a # ifoldr :: ((i, j) -> a -> b -> b) -> b -> (f :.: g) a -> b # ifoldl :: ((i, j) -> b -> a -> b) -> b -> (f :.: g) a -> b # ifoldr' :: ((i, j) -> a -> b -> b) -> b -> (f :.: g) a -> b # ifoldl' :: ((i, j) -> b -> a -> b) -> b -> (f :.: g) a -> b #
(TraversableWithIndex i f, TraversableWithIndex j g) => TraversableWithIndex (i, j) (f :.: g)
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f0 => ((i, j) -> a -> f0 b) -> (f :.: g) a -> f0 ((f :.: g) b) # itraversed :: IndexedTraversal (i, j) ((f :.: g) a) ((f :.: g) b) a b #
(Functor f, Functor g) => Functor (f :.: g)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> (f :.: g) a -> (f :.: g) b # (<$) :: a -> (f :.: g) b -> (f :.: g) a #
(Applicative f, Applicative g) => Applicative (f :.: g)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods pure :: a -> (f :.: g) a # (<>) :: (f :.: g) (a -> b) -> (f :.: g) a -> (f :.: g) b # liftA2 :: (a -> b -> c) -> (f :.: g) a -> (f :.: g) b -> (f :.: g) c # (>) :: (f :.: g) a -> (f :.: g) b -> (f :.: g) b # (<*) :: (f :.: g) a -> (f :.: g) b -> (f :.: g) a #
(Foldable f, Foldable g) => Foldable (f :.: g)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => (f :.: g) m -> m # foldMap :: Monoid m => (a -> m) -> (f :.: g) a -> m # foldr :: (a -> b -> b) -> b -> (f :.: g) a -> b # foldr' :: (a -> b -> b) -> b -> (f :.: g) a -> b # foldl :: (b -> a -> b) -> b -> (f :.: g) a -> b # foldl' :: (b -> a -> b) -> b -> (f :.: g) a -> b # foldr1 :: (a -> a -> a) -> (f :.: g) a -> a # foldl1 :: (a -> a -> a) -> (f :.: g) a -> a # toList :: (f :.: g) a -> [a] # null :: (f :.: g) a -> Bool # length :: (f :.: g) a -> Int # elem :: Eq a => a -> (f :.: g) a -> Bool # maximum :: Ord a => (f :.: g) a -> a # minimum :: Ord a => (f :.: g) a -> a # sum :: Num a => (f :.: g) a -> a # product :: Num a => (f :.: g) a -> a #
(Traversable f, Traversable g) => Traversable (f :.: g)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> (f :.: g) a -> f0 ((f :.: g) b) # sequenceA :: Applicative f0 => (f :.: g) (f0 a) -> f0 ((f :.: g) a) # mapM :: Monad m => (a -> m b) -> (f :.: g) a -> m ((f :.: g) b) # sequence :: Monad m => (f :.: g) (m a) -> m ((f :.: g) a) #
(Representable f, Representable g) => Representable (f :.: g)
Instance details Defined in Data.Functor.Rep Associated Types type Rep (f :.: g) :: Type # Methods tabulate :: (Rep (f :.: g) -> a) -> (f :.: g) a # index :: (f :.: g) a -> Rep (f :.: g) -> a #
(Alternative f, Applicative g) => Alternative (f :.: g)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods empty :: (f :.: g) a # (<\|>) :: (f :.: g) a -> (f :.: g) a -> (f :.: g) a # some :: (f :.: g) a -> (f :.: g) [a] # many :: (f :.: g) a -> (f :.: g) [a] #
(Representable f, GIndex g) => GIndex (f :.: g)
Instance details Defined in Data.Functor.Rep Methods gindex' :: (f :.: g) a -> GRep' (f :.: g) -> a
(Representable f, GTabulate g) => GTabulate (f :.: g)
Instance details Defined in Data.Functor.Rep Methods gtabulate' :: (GRep' (f :.: g) -> a) -> (f :.: g) a
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 #
Ord (f (g p)) => Ord ((f :.: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods compare :: (f :.: g) p -> (f :.: g) p -> Ordering # (<) :: (f :.: g) p -> (f :.: g) p -> Bool # (<=) :: (f :.: g) p -> (f :.: g) p -> Bool # (>) :: (f :.: g) p -> (f :.: g) p -> Bool # (>=) :: (f :.: g) p -> (f :.: g) p -> Bool # max :: (f :.: g) p -> (f :.: g) p -> (f :.: g) p # min :: (f :.: g) p -> (f :.: g) p -> (f :.: g) p #
Read (f (g p)) => Read ((f :.: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods readsPrec :: Int -> ReadS ((f :.: g) p) # readList :: ReadS [(f :.: g) p] # readPrec :: ReadPrec ((f :.: g) p) # readListPrec :: ReadPrec [(f :.: g) p] #
Show (f (g p)) => Show ((f :.: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> (f :.: g) p -> ShowS # show :: (f :.: g) p -> String # showList :: [(f :.: g) p] -> ShowS #
Generic ((f :.: g) p)
Instance details Defined in GHC.Generics Associated Types type Rep ((f :.: g) p) :: Type -> Type # Methods from :: (f :.: g) p -> Rep ((f :.: g) p) x # to :: Rep ((f :.: g) p) x -> (f :.: g) p #
Semigroup (f (g p)) => Semigroup ((f :.: g) p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods (<>) :: (f :.: g) p -> (f :.: g) p -> (f :.: g) p # sconcat :: NonEmpty ((f :.: g) p) -> (f :.: g) p # stimes :: Integral b => b -> (f :.: g) p -> (f :.: g) p #
Monoid (f (g p)) => Monoid ((f :.: g) p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods mempty :: (f :.: g) p # mappend :: (f :.: g) p -> (f :.: g) p -> (f :.: g) p # mconcat :: [(f :.: g) p] -> (f :.: g) p #
Wrapped ((f :.: g) p)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped ((f :.: g) p) :: Type # Methods _Wrapped' :: Iso' ((f :.: g) p) (Unwrapped ((f :.: g) p)) #
t ~ (f' :.: g') p' => Rewrapped ((f :.: g) p) t
Instance details Defined in Control.Lens.Wrapped
type Rep1 (f :.: g :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep1 (f :.: g :: k -> Type) = D1 (MetaData ":.:" "GHC.Generics" "base" True) (C1 (MetaCons "Comp1" PrefixI True) (S1 (MetaSel (Just "unComp1") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (f :.: Rec1 g)))
type Rep (f :.: g)
Instance details Defined in Data.Functor.Rep type Rep (f :.: g) = (Rep f, Rep g)
type GRep' (f :.: g)
Instance details Defined in Data.Functor.Rep type GRep' (f :.: g) = (WrappedRep f, GRep' g)
type Rep ((f :.: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics type Rep ((f :.: g) p) = D1 (MetaData ":.:" "GHC.Generics" "base" True) (C1 (MetaCons "Comp1" PrefixI True) (S1 (MetaSel (Just "unComp1") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (f (g p)))))
type Unwrapped ((f :.: g) p)
Instance details Defined in Control.Lens.Wrapped type Unwrapped ((f :.: g) p) = f (g p)

type Rec0 = (K1 R :: Type -> k -> Type) #

Type synonym for encoding recursion (of kind Type)

type D1 = (M1 D :: Meta -> (k -> Type) -> k -> Type) #

Type synonym for encoding meta-information for datatypes

type C1 = (M1 C :: Meta -> (k -> Type) -> k -> Type) #

Type synonym for encoding meta-information for constructors

type S1 = (M1 S :: Meta -> (k -> Type) -> k -> Type) #

Type synonym for encoding meta-information for record selectors

data family URec a (p :: k) :: Type #

Constants of unlifted kinds

Since: base-4.9.0.0

Instances

Generic1 (URec (Ptr ()) :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (URec (Ptr ())) :: k -> Type # Methods from1 :: URec (Ptr ()) a -> Rep1 (URec (Ptr ())) a # to1 :: Rep1 (URec (Ptr ())) a -> URec (Ptr ()) a #
Generic1 (URec Char :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (URec Char) :: k -> Type # Methods from1 :: URec Char a -> Rep1 (URec Char) a # to1 :: Rep1 (URec Char) a -> URec Char a #
Generic1 (URec Double :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (URec Double) :: k -> Type # Methods from1 :: URec Double a -> Rep1 (URec Double) a # to1 :: Rep1 (URec Double) a -> URec Double a #
Generic1 (URec Float :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (URec Float) :: k -> Type # Methods from1 :: URec Float a -> Rep1 (URec Float) a # to1 :: Rep1 (URec Float) a -> URec Float a #
Generic1 (URec Int :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (URec Int) :: k -> Type # Methods from1 :: URec Int a -> Rep1 (URec Int) a # to1 :: Rep1 (URec Int) a -> URec Int a #
Generic1 (URec Word :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (URec Word) :: k -> Type # Methods from1 :: URec Word a -> Rep1 (URec Word) a # to1 :: Rep1 (URec Word) a -> URec Word a #
Functor (URec Char :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec Char a -> URec Char b # (<$) :: a -> URec Char b -> URec Char a #
Functor (URec Double :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec Double a -> URec Double b # (<$) :: a -> URec Double b -> URec Double a #
Functor (URec Float :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec Float a -> URec Float b # (<$) :: a -> URec Float b -> URec Float a #
Functor (URec Int :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec Int a -> URec Int b # (<$) :: a -> URec Int b -> URec Int a #
Functor (URec Word :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec Word a -> URec Word b # (<$) :: a -> URec Word b -> URec Word a #
Functor (URec (Ptr ()) :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec (Ptr ()) a -> URec (Ptr ()) b # (<$) :: a -> URec (Ptr ()) b -> URec (Ptr ()) a #
Foldable (URec Char :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => URec Char m -> m # foldMap :: Monoid m => (a -> m) -> URec Char a -> m # foldr :: (a -> b -> b) -> b -> URec Char a -> b # foldr' :: (a -> b -> b) -> b -> URec Char a -> b # foldl :: (b -> a -> b) -> b -> URec Char a -> b # foldl' :: (b -> a -> b) -> b -> URec Char a -> b # foldr1 :: (a -> a -> a) -> URec Char a -> a # foldl1 :: (a -> a -> a) -> URec Char a -> a # toList :: URec Char a -> [a] # null :: URec Char a -> Bool # length :: URec Char a -> Int # elem :: Eq a => a -> URec Char a -> Bool # maximum :: Ord a => URec Char a -> a # minimum :: Ord a => URec Char a -> a # sum :: Num a => URec Char a -> a # product :: Num a => URec Char a -> a #
Foldable (URec Double :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => URec Double m -> m # foldMap :: Monoid m => (a -> m) -> URec Double a -> m # foldr :: (a -> b -> b) -> b -> URec Double a -> b # foldr' :: (a -> b -> b) -> b -> URec Double a -> b # foldl :: (b -> a -> b) -> b -> URec Double a -> b # foldl' :: (b -> a -> b) -> b -> URec Double a -> b # foldr1 :: (a -> a -> a) -> URec Double a -> a # foldl1 :: (a -> a -> a) -> URec Double a -> a # toList :: URec Double a -> [a] # null :: URec Double a -> Bool # length :: URec Double a -> Int # elem :: Eq a => a -> URec Double a -> Bool # maximum :: Ord a => URec Double a -> a # minimum :: Ord a => URec Double a -> a # sum :: Num a => URec Double a -> a # product :: Num a => URec Double a -> a #
Foldable (URec Float :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => URec Float m -> m # foldMap :: Monoid m => (a -> m) -> URec Float a -> m # foldr :: (a -> b -> b) -> b -> URec Float a -> b # foldr' :: (a -> b -> b) -> b -> URec Float a -> b # foldl :: (b -> a -> b) -> b -> URec Float a -> b # foldl' :: (b -> a -> b) -> b -> URec Float a -> b # foldr1 :: (a -> a -> a) -> URec Float a -> a # foldl1 :: (a -> a -> a) -> URec Float a -> a # toList :: URec Float a -> [a] # null :: URec Float a -> Bool # length :: URec Float a -> Int # elem :: Eq a => a -> URec Float a -> Bool # maximum :: Ord a => URec Float a -> a # minimum :: Ord a => URec Float a -> a # sum :: Num a => URec Float a -> a # product :: Num a => URec Float a -> a #
Foldable (URec Int :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => URec Int m -> m # foldMap :: Monoid m => (a -> m) -> URec Int a -> m # foldr :: (a -> b -> b) -> b -> URec Int a -> b # foldr' :: (a -> b -> b) -> b -> URec Int a -> b # foldl :: (b -> a -> b) -> b -> URec Int a -> b # foldl' :: (b -> a -> b) -> b -> URec Int a -> b # foldr1 :: (a -> a -> a) -> URec Int a -> a # foldl1 :: (a -> a -> a) -> URec Int a -> a # toList :: URec Int a -> [a] # null :: URec Int a -> Bool # length :: URec Int a -> Int # elem :: Eq a => a -> URec Int a -> Bool # maximum :: Ord a => URec Int a -> a # minimum :: Ord a => URec Int a -> a # sum :: Num a => URec Int a -> a # product :: Num a => URec Int a -> a #
Foldable (URec Word :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => URec Word m -> m # foldMap :: Monoid m => (a -> m) -> URec Word a -> m # foldr :: (a -> b -> b) -> b -> URec Word a -> b # foldr' :: (a -> b -> b) -> b -> URec Word a -> b # foldl :: (b -> a -> b) -> b -> URec Word a -> b # foldl' :: (b -> a -> b) -> b -> URec Word a -> b # foldr1 :: (a -> a -> a) -> URec Word a -> a # foldl1 :: (a -> a -> a) -> URec Word a -> a # toList :: URec Word a -> [a] # null :: URec Word a -> Bool # length :: URec Word a -> Int # elem :: Eq a => a -> URec Word a -> Bool # maximum :: Ord a => URec Word a -> a # minimum :: Ord a => URec Word a -> a # sum :: Num a => URec Word a -> a # product :: Num a => URec Word a -> a #
Foldable (URec (Ptr ()) :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => URec (Ptr ()) m -> m # foldMap :: Monoid m => (a -> m) -> URec (Ptr ()) a -> m # foldr :: (a -> b -> b) -> b -> URec (Ptr ()) a -> b # foldr' :: (a -> b -> b) -> b -> URec (Ptr ()) a -> b # foldl :: (b -> a -> b) -> b -> URec (Ptr ()) a -> b # foldl' :: (b -> a -> b) -> b -> URec (Ptr ()) a -> b # foldr1 :: (a -> a -> a) -> URec (Ptr ()) a -> a # foldl1 :: (a -> a -> a) -> URec (Ptr ()) a -> a # toList :: URec (Ptr ()) a -> [a] # null :: URec (Ptr ()) a -> Bool # length :: URec (Ptr ()) a -> Int # elem :: Eq a => a -> URec (Ptr ()) a -> Bool # maximum :: Ord a => URec (Ptr ()) a -> a # minimum :: Ord a => URec (Ptr ()) a -> a # sum :: Num a => URec (Ptr ()) a -> a # product :: Num a => URec (Ptr ()) a -> a #
Traversable (URec Char :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> URec Char a -> f (URec Char b) # sequenceA :: Applicative f => URec Char (f a) -> f (URec Char a) # mapM :: Monad m => (a -> m b) -> URec Char a -> m (URec Char b) # sequence :: Monad m => URec Char (m a) -> m (URec Char a) #
Traversable (URec Double :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> URec Double a -> f (URec Double b) # sequenceA :: Applicative f => URec Double (f a) -> f (URec Double a) # mapM :: Monad m => (a -> m b) -> URec Double a -> m (URec Double b) # sequence :: Monad m => URec Double (m a) -> m (URec Double a) #
Traversable (URec Float :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> URec Float a -> f (URec Float b) # sequenceA :: Applicative f => URec Float (f a) -> f (URec Float a) # mapM :: Monad m => (a -> m b) -> URec Float a -> m (URec Float b) # sequence :: Monad m => URec Float (m a) -> m (URec Float a) #
Traversable (URec Int :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> URec Int a -> f (URec Int b) # sequenceA :: Applicative f => URec Int (f a) -> f (URec Int a) # mapM :: Monad m => (a -> m b) -> URec Int a -> m (URec Int b) # sequence :: Monad m => URec Int (m a) -> m (URec Int a) #
Traversable (URec Word :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> URec Word a -> f (URec Word b) # sequenceA :: Applicative f => URec Word (f a) -> f (URec Word a) # mapM :: Monad m => (a -> m b) -> URec Word a -> m (URec Word b) # sequence :: Monad m => URec Word (m a) -> m (URec Word a) #
Traversable (URec (Ptr ()) :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> URec (Ptr ()) a -> f (URec (Ptr ()) b) # sequenceA :: Applicative f => URec (Ptr ()) (f a) -> f (URec (Ptr ()) a) # mapM :: Monad m => (a -> m b) -> URec (Ptr ()) a -> m (URec (Ptr ()) b) # sequence :: Monad m => URec (Ptr ()) (m a) -> m (URec (Ptr ()) a) #
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 #
Ord (URec (Ptr ()) p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods compare :: URec (Ptr ()) p -> URec (Ptr ()) p -> Ordering # (<) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool # (<=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool # (>) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool # (>=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool # max :: URec (Ptr ()) p -> URec (Ptr ()) p -> URec (Ptr ()) p # min :: URec (Ptr ()) p -> URec (Ptr ()) p -> URec (Ptr ()) p #
Ord (URec Char p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods compare :: URec Char p -> URec Char p -> Ordering # (<) :: URec Char p -> URec Char p -> Bool # (<=) :: URec Char p -> URec Char p -> Bool # (>) :: URec Char p -> URec Char p -> Bool # (>=) :: URec Char p -> URec Char p -> Bool # max :: URec Char p -> URec Char p -> URec Char p # min :: URec Char p -> URec Char p -> URec Char p #
Ord (URec Double p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods compare :: URec Double p -> URec Double p -> Ordering # (<) :: URec Double p -> URec Double p -> Bool # (<=) :: URec Double p -> URec Double p -> Bool # (>) :: URec Double p -> URec Double p -> Bool # (>=) :: URec Double p -> URec Double p -> Bool # max :: URec Double p -> URec Double p -> URec Double p # min :: URec Double p -> URec Double p -> URec Double p #
Ord (URec Float p)
Instance details Defined in GHC.Generics Methods compare :: URec Float p -> URec Float p -> Ordering # (<) :: URec Float p -> URec Float p -> Bool # (<=) :: URec Float p -> URec Float p -> Bool # (>) :: URec Float p -> URec Float p -> Bool # (>=) :: URec Float p -> URec Float p -> Bool # max :: URec Float p -> URec Float p -> URec Float p # min :: URec Float p -> URec Float p -> URec Float p #
Ord (URec Int p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods compare :: URec Int p -> URec Int p -> Ordering # (<) :: URec Int p -> URec Int p -> Bool # (<=) :: URec Int p -> URec Int p -> Bool # (>) :: URec Int p -> URec Int p -> Bool # (>=) :: URec Int p -> URec Int p -> Bool # max :: URec Int p -> URec Int p -> URec Int p # min :: URec Int p -> URec Int p -> URec Int p #
Ord (URec Word p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods compare :: URec Word p -> URec Word p -> Ordering # (<) :: URec Word p -> URec Word p -> Bool # (<=) :: URec Word p -> URec Word p -> Bool # (>) :: URec Word p -> URec Word p -> Bool # (>=) :: URec Word p -> URec Word p -> Bool # max :: URec Word p -> URec Word p -> URec Word p # min :: URec Word p -> URec Word p -> URec Word p #
Show (URec Char p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> URec Char p -> ShowS # show :: URec Char p -> String # showList :: [URec Char p] -> ShowS #
Show (URec Double p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> URec Double p -> ShowS # show :: URec Double p -> String # showList :: [URec Double p] -> ShowS #
Show (URec Float p)
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> URec Float p -> ShowS # show :: URec Float p -> String # showList :: [URec Float p] -> ShowS #
Show (URec Int p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> URec Int p -> ShowS # show :: URec Int p -> String # showList :: [URec Int p] -> ShowS #
Show (URec Word p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> URec Word p -> ShowS # show :: URec Word p -> String # showList :: [URec Word p] -> ShowS #
Generic (URec (Ptr ()) p)
Instance details Defined in GHC.Generics Associated Types type Rep (URec (Ptr ()) p) :: Type -> Type # Methods from :: URec (Ptr ()) p -> Rep (URec (Ptr ()) p) x # to :: Rep (URec (Ptr ()) p) x -> URec (Ptr ()) p #
Generic (URec Char p)
Instance details Defined in GHC.Generics Associated Types type Rep (URec Char p) :: Type -> Type # Methods from :: URec Char p -> Rep (URec Char p) x # to :: Rep (URec Char p) x -> URec Char p #
Generic (URec Double p)
Instance details Defined in GHC.Generics Associated Types type Rep (URec Double p) :: Type -> Type # Methods from :: URec Double p -> Rep (URec Double p) x # to :: Rep (URec Double p) x -> URec Double p #
Generic (URec Float p)
Instance details Defined in GHC.Generics Associated Types type Rep (URec Float p) :: Type -> Type # Methods from :: URec Float p -> Rep (URec Float p) x # to :: Rep (URec Float p) x -> URec Float p #
Generic (URec Int p)
Instance details Defined in GHC.Generics Associated Types type Rep (URec Int p) :: Type -> Type # Methods from :: URec Int p -> Rep (URec Int p) x # to :: Rep (URec Int p) x -> URec Int p #
Generic (URec Word p)
Instance details Defined in GHC.Generics Associated Types type Rep (URec Word p) :: Type -> Type # Methods from :: URec Word p -> Rep (URec Word p) x # to :: Rep (URec Word p) x -> URec Word p #
data URec Word (p :: k)	Used for marking occurrences of `Word#` Since: base-4.9.0.0
Instance details Defined in GHC.Generics data URec Word (p :: k) = UWord { uWord# :: Word# }
data URec Int (p :: k)	Used for marking occurrences of `Int#` Since: base-4.9.0.0
Instance details Defined in GHC.Generics data URec Int (p :: k) = UInt { uInt# :: Int# }
data URec Float (p :: k)	Used for marking occurrences of `Float#` Since: base-4.9.0.0
Instance details Defined in GHC.Generics data URec Float (p :: k) = UFloat { uFloat# :: Float# }
data URec Double (p :: k)	Used for marking occurrences of `Double#` Since: base-4.9.0.0
Instance details Defined in GHC.Generics data URec Double (p :: k) = UDouble { uDouble# :: Double# }
data URec Char (p :: k)	Used for marking occurrences of `Char#` Since: base-4.9.0.0
Instance details Defined in GHC.Generics data URec Char (p :: k) = UChar { uChar# :: Char# }
data URec (Ptr ()) (p :: k)	Used for marking occurrences of `Addr#` Since: base-4.9.0.0
Instance details Defined in GHC.Generics data URec (Ptr ()) (p :: k) = UAddr { uAddr# :: Addr# }
type Rep1 (URec Word :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep1 (URec Word :: k -> Type) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UWord" PrefixI True) (S1 (MetaSel (Just "uWord#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UWord :: k -> Type)))
type Rep1 (URec Int :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep1 (URec Int :: k -> Type) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UInt" PrefixI True) (S1 (MetaSel (Just "uInt#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UInt :: k -> Type)))
type Rep1 (URec Float :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep1 (URec Float :: k -> Type) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UFloat" PrefixI True) (S1 (MetaSel (Just "uFloat#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UFloat :: k -> Type)))
type Rep1 (URec Double :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep1 (URec Double :: k -> Type) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UDouble" PrefixI True) (S1 (MetaSel (Just "uDouble#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UDouble :: k -> Type)))
type Rep1 (URec Char :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep1 (URec Char :: k -> Type) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UChar" PrefixI True) (S1 (MetaSel (Just "uChar#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UChar :: k -> Type)))
type Rep1 (URec (Ptr ()) :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep1 (URec (Ptr ()) :: k -> Type) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UAddr" PrefixI True) (S1 (MetaSel (Just "uAddr#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UAddr :: k -> Type)))
type Rep (URec Word p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep (URec Word p) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UWord" PrefixI True) (S1 (MetaSel (Just "uWord#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UWord :: Type -> Type)))
type Rep (URec Int p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep (URec Int p) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UInt" PrefixI True) (S1 (MetaSel (Just "uInt#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UInt :: Type -> Type)))
type Rep (URec Float p)
Instance details Defined in GHC.Generics type Rep (URec Float p) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UFloat" PrefixI True) (S1 (MetaSel (Just "uFloat#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UFloat :: Type -> Type)))
type Rep (URec Double p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep (URec Double p) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UDouble" PrefixI True) (S1 (MetaSel (Just "uDouble#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UDouble :: Type -> Type)))
type Rep (URec Char p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep (URec Char p) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UChar" PrefixI True) (S1 (MetaSel (Just "uChar#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UChar :: Type -> Type)))
type Rep (URec (Ptr ()) p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep (URec (Ptr ()) p) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UAddr" PrefixI True) (S1 (MetaSel (Just "uAddr#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UAddr :: Type -> Type)))

data Nat #

(Kind) This is the kind of type-level natural numbers.

Instances

KnownNat n => Reifies (n :: Nat) Integer
Instance details Defined in Data.Reflection Methods reflect :: proxy n -> Integer #

data Symbol #

(Kind) This is the kind of type-level symbols. Declared here because class IP needs it

Instances

SingKind Symbol	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Associated Types type DemoteRep Symbol :: Type Methods fromSing :: Sing a -> DemoteRep Symbol
KnownSymbol a => SingI (a :: Symbol)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods sing :: Sing a
KnownSymbol n => Reifies (n :: Symbol) String
Instance details Defined in Data.Reflection Methods reflect :: proxy n -> String #
data Sing (s :: Symbol)
Instance details Defined in GHC.Generics data Sing (s :: Symbol) where SSym :: forall (s :: Symbol). KnownSymbol s => Sing s
type DemoteRep Symbol
Instance details Defined in GHC.Generics type DemoteRep Symbol = String

type family CmpNat (a :: Nat) (b :: Nat) :: Ordering where ... #

Comparison of type-level naturals, as a function.

Since: base-4.7.0.0

class a ~R# b => Coercible (a :: k0) (b :: k0) #

Coercible is a two-parameter class that has instances for types a and b if the compiler can infer that they have the same representation. This class does not have regular instances; instead they are created on-the-fly during type-checking. Trying to manually declare an instance of Coercible is an error.

Nevertheless one can pretend that the following three kinds of instances exist. First, as a trivial base-case:

instance Coercible a a

Furthermore, for every type constructor there is an instance that allows to coerce under the type constructor. For example, let D be a prototypical type constructor (data or newtype) with three type arguments, which have roles nominal, representational resp. phantom. Then there is an instance of the form

instance Coercible b b' => Coercible (D a b c) (D a b' c')

Note that the nominal type arguments are equal, the representational type arguments can differ, but need to have a Coercible instance themself, and the phantom type arguments can be changed arbitrarily.

The third kind of instance exists for every newtype NT = MkNT T and comes in two variants, namely

instance Coercible a T => Coercible a NT

instance Coercible T b => Coercible NT b

This instance is only usable if the constructor MkNT is in scope.

If, as a library author of a type constructor like Set a, you want to prevent a user of your module to write coerce :: Set T -> Set NT, you need to set the role of Set's type parameter to nominal, by writing

type role Set nominal

For more details about this feature, please refer to Safe Coercions by Joachim Breitner, Richard A. Eisenberg, Simon Peyton Jones and Stephanie Weirich.

Since: ghc-prim-4.7.0.0

data StaticPtr a #

A reference to a value of type a.

Instances

IsStatic StaticPtr	Since: base-4.9.0.0
Instance details Defined in GHC.StaticPtr Methods fromStaticPtr :: StaticPtr a -> StaticPtr a #

data CallStack #

CallStacks are a lightweight method of obtaining a partial call-stack at any point in the program.

A function can request its call-site with the HasCallStack constraint. For example, we can define

putStrLnWithCallStack :: HasCallStack => String -> IO ()

as a variant of putStrLn that will get its call-site and print it, along with the string given as argument. We can access the call-stack inside putStrLnWithCallStack with callStack.

putStrLnWithCallStack :: HasCallStack => String -> IO ()
putStrLnWithCallStack msg = do
  putStrLn msg
  putStrLn (prettyCallStack callStack)

Thus, if we call putStrLnWithCallStack we will get a formatted call-stack alongside our string.

>>> putStrLnWithCallStack "hello"
hello
CallStack (from HasCallStack):
  putStrLnWithCallStack, called at <interactive>:2:1 in interactive:Ghci1

GHC solves HasCallStack constraints in three steps:

If there is a CallStack in scope -- i.e. the enclosing function has a HasCallStack constraint -- GHC will append the new call-site to the existing CallStack.
If there is no CallStack in scope -- e.g. in the GHCi session above -- and the enclosing definition does not have an explicit type signature, GHC will infer a HasCallStack constraint for the enclosing definition (subject to the monomorphism restriction).
If there is no CallStack in scope and the enclosing definition has an explicit type signature, GHC will solve the HasCallStack constraint for the singleton CallStack containing just the current call-site.

CallStacks do not interact with the RTS and do not require compilation with -prof. On the other hand, as they are built up explicitly via the HasCallStack constraints, they will generally not contain as much information as the simulated call-stacks maintained by the RTS.

A CallStack is a [(String, SrcLoc)]. The String is the name of function that was called, the SrcLoc is the call-site. The list is ordered with the most recently called function at the head.

NOTE: The intrepid user may notice that HasCallStack is just an alias for an implicit parameter ?callStack :: CallStack. This is an implementation detail and should not be considered part of the CallStack API, we may decide to change the implementation in the future.

Since: base-4.8.1.0

Instances

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 :: Type # Methods fromList :: [Item CallStack] -> CallStack # fromListN :: Int -> [Item CallStack] -> CallStack # toList :: CallStack -> [Item CallStack] #
Show CallStack	Since: base-4.9.0.0
Instance details Defined in GHC.Show Methods showsPrec :: Int -> CallStack -> ShowS # show :: CallStack -> String # showList :: [CallStack] -> ShowS #
NFData CallStack	Since: deepseq-1.4.2.0
Instance details Defined in Control.DeepSeq Methods rnf :: CallStack -> () #
type Item CallStack
Instance details Defined in GHC.Exts type Item CallStack = (String, SrcLoc)

class Random a where #

With a source of random number supply in hand, the Random class allows the programmer to extract random values of a variety of types.

Minimal complete definition: randomR and random.

Minimal complete definition

randomR, random

Methods

randomR :: RandomGen g => (a, a) -> g -> (a, g) #

Takes a range (lo,hi) and a random number generator g, and returns a random value uniformly distributed in the closed interval [lo,hi], together with a new generator. It is unspecified what happens if lo>hi. For continuous types there is no requirement that the values lo and hi are ever produced, but they may be, depending on the implementation and the interval.

random :: RandomGen g => g -> (a, g) #

The same as randomR, but using a default range determined by the type:

For bounded types (instances of Bounded, such as Char), the range is normally the whole type.
For fractional types, the range is normally the semi-closed interval [0,1).
For Integer, the range is (arbitrarily) the range of Int.

randomRs :: RandomGen g => (a, a) -> g -> [a] #

Plural variant of randomR, producing an infinite list of random values instead of returning a new generator.

randoms :: RandomGen g => g -> [a] #

Plural variant of random, producing an infinite list of random values instead of returning a new generator.

randomRIO :: (a, a) -> IO a #

A variant of randomR that uses the global random number generator (see System.Random).

randomIO :: IO a #

A variant of random that uses the global random number generator (see System.Random).

Instances

Random Bool
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Bool, Bool) -> g -> (Bool, g) # random :: RandomGen g => g -> (Bool, g) # randomRs :: RandomGen g => (Bool, Bool) -> g -> [Bool] # randoms :: RandomGen g => g -> [Bool] # randomRIO :: (Bool, Bool) -> IO Bool # randomIO :: IO Bool #
Random Char
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Char, Char) -> g -> (Char, g) # random :: RandomGen g => g -> (Char, g) # randomRs :: RandomGen g => (Char, Char) -> g -> [Char] # randoms :: RandomGen g => g -> [Char] # randomRIO :: (Char, Char) -> IO Char # randomIO :: IO Char #
Random Double
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Double, Double) -> g -> (Double, g) # random :: RandomGen g => g -> (Double, g) # randomRs :: RandomGen g => (Double, Double) -> g -> [Double] # randoms :: RandomGen g => g -> [Double] # randomRIO :: (Double, Double) -> IO Double # randomIO :: IO Double #
Random Float
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Float, Float) -> g -> (Float, g) # random :: RandomGen g => g -> (Float, g) # randomRs :: RandomGen g => (Float, Float) -> g -> [Float] # randoms :: RandomGen g => g -> [Float] # randomRIO :: (Float, Float) -> IO Float # randomIO :: IO Float #
Random Int
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Int, Int) -> g -> (Int, g) # random :: RandomGen g => g -> (Int, g) # randomRs :: RandomGen g => (Int, Int) -> g -> [Int] # randoms :: RandomGen g => g -> [Int] # randomRIO :: (Int, Int) -> IO Int # randomIO :: IO Int #
Random Int8
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Int8, Int8) -> g -> (Int8, g) # random :: RandomGen g => g -> (Int8, g) # randomRs :: RandomGen g => (Int8, Int8) -> g -> [Int8] # randoms :: RandomGen g => g -> [Int8] # randomRIO :: (Int8, Int8) -> IO Int8 # randomIO :: IO Int8 #
Random Int16
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Int16, Int16) -> g -> (Int16, g) # random :: RandomGen g => g -> (Int16, g) # randomRs :: RandomGen g => (Int16, Int16) -> g -> [Int16] # randoms :: RandomGen g => g -> [Int16] # randomRIO :: (Int16, Int16) -> IO Int16 # randomIO :: IO Int16 #
Random Int32
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Int32, Int32) -> g -> (Int32, g) # random :: RandomGen g => g -> (Int32, g) # randomRs :: RandomGen g => (Int32, Int32) -> g -> [Int32] # randoms :: RandomGen g => g -> [Int32] # randomRIO :: (Int32, Int32) -> IO Int32 # randomIO :: IO Int32 #
Random Int64
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Int64, Int64) -> g -> (Int64, g) # random :: RandomGen g => g -> (Int64, g) # randomRs :: RandomGen g => (Int64, Int64) -> g -> [Int64] # randoms :: RandomGen g => g -> [Int64] # randomRIO :: (Int64, Int64) -> IO Int64 # randomIO :: IO Int64 #
Random Integer
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Integer, Integer) -> g -> (Integer, g) # random :: RandomGen g => g -> (Integer, g) # randomRs :: RandomGen g => (Integer, Integer) -> g -> [Integer] # randoms :: RandomGen g => g -> [Integer] # randomRIO :: (Integer, Integer) -> IO Integer # randomIO :: IO Integer #
Random Word
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Word, Word) -> g -> (Word, g) # random :: RandomGen g => g -> (Word, g) # randomRs :: RandomGen g => (Word, Word) -> g -> [Word] # randoms :: RandomGen g => g -> [Word] # randomRIO :: (Word, Word) -> IO Word # randomIO :: IO Word #
Random Word8
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Word8, Word8) -> g -> (Word8, g) # random :: RandomGen g => g -> (Word8, g) # randomRs :: RandomGen g => (Word8, Word8) -> g -> [Word8] # randoms :: RandomGen g => g -> [Word8] # randomRIO :: (Word8, Word8) -> IO Word8 # randomIO :: IO Word8 #
Random Word16
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Word16, Word16) -> g -> (Word16, g) # random :: RandomGen g => g -> (Word16, g) # randomRs :: RandomGen g => (Word16, Word16) -> g -> [Word16] # randoms :: RandomGen g => g -> [Word16] # randomRIO :: (Word16, Word16) -> IO Word16 # randomIO :: IO Word16 #
Random Word32
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Word32, Word32) -> g -> (Word32, g) # random :: RandomGen g => g -> (Word32, g) # randomRs :: RandomGen g => (Word32, Word32) -> g -> [Word32] # randoms :: RandomGen g => g -> [Word32] # randomRIO :: (Word32, Word32) -> IO Word32 # randomIO :: IO Word32 #
Random Word64
Instance details Defined in System.Random Methods randomR :: RandomGen g => (Word64, Word64) -> g -> (Word64, g) # random :: RandomGen g => g -> (Word64, g) # randomRs :: RandomGen g => (Word64, Word64) -> g -> [Word64] # randoms :: RandomGen g => g -> [Word64] # randomRIO :: (Word64, Word64) -> IO Word64 # randomIO :: IO Word64 #
Random CChar
Instance details Defined in System.Random Methods randomR :: RandomGen g => (CChar, CChar) -> g -> (CChar, g) # random :: RandomGen g => g -> (CChar, g) # randomRs :: RandomGen g => (CChar, CChar) -> g -> [CChar] # randoms :: RandomGen g => g -> [CChar] # randomRIO :: (CChar, CChar) -> IO CChar # randomIO :: IO CChar #
Random CSChar
Instance details Defined in System.Random Methods randomR :: RandomGen g => (CSChar, CSChar) -> g -> (CSChar, g) # random :: RandomGen g => g -> (CSChar, g) # randomRs :: RandomGen g => (CSChar, CSChar) -> g -> [CSChar] # randoms :: RandomGen g => g -> [CSChar] # randomRIO :: (CSChar, CSChar) -> IO CSChar # randomIO :: IO CSChar #
Random CUChar
Instance details Defined in System.Random Methods randomR :: RandomGen g => (CUChar, CUChar) -> g -> (CUChar, g) # random :: RandomGen g => g -> (CUChar, g) # randomRs :: RandomGen g => (CUChar, CUChar) -> g -> [CUChar] # randoms :: RandomGen g => g -> [CUChar] # randomRIO :: (CUChar, CUChar) -> IO CUChar # randomIO :: IO CUChar #
Random CShort
Instance details Defined in System.Random Methods randomR :: RandomGen g => (CShort, CShort) -> g -> (CShort, g) # random :: RandomGen g => g -> (CShort, g) # randomRs :: RandomGen g => (CShort, CShort) -> g -> [CShort] # randoms :: RandomGen g => g -> [CShort] # randomRIO :: (CShort, CShort) -> IO CShort # randomIO :: IO CShort #
Random CUShort
Instance details Defined in System.Random Methods randomR :: RandomGen g => (CUShort, CUShort) -> g -> (CUShort, g) # random :: RandomGen g => g -> (CUShort, g) # randomRs :: RandomGen g => (CUShort, CUShort) -> g -> [CUShort] # randoms :: RandomGen g => g -> [CUShort] # randomRIO :: (CUShort, CUShort) -> IO CUShort # randomIO :: IO CUShort #
Random CInt
Instance details Defined in System.Random Methods randomR :: RandomGen g => (CInt, CInt) -> g -> (CInt, g) # random :: RandomGen g => g -> (CInt, g) # randomRs :: RandomGen g => (CInt, CInt) -> g -> [CInt] # randoms :: RandomGen g => g -> [CInt] # randomRIO :: (CInt, CInt) -> IO CInt # randomIO :: IO CInt #
Random CUInt
Instance details Defined in System.Random Methods randomR :: RandomGen g => (CUInt, CUInt) -> g -> (CUInt, g) # random :: RandomGen g => g -> (CUInt, g) # randomRs :: RandomGen g => (CUInt, CUInt) -> g -> [CUInt] # randoms :: RandomGen g => g -> [CUInt] # randomRIO :: (CUInt, CUInt) -> IO CUInt # randomIO :: IO CUInt #
Random CLong
Instance details Defined in System.Random Methods randomR :: RandomGen g => (CLong, CLong) -> g -> (CLong, g) # random :: RandomGen g => g -> (CLong, g) # randomRs :: RandomGen g => (CLong, CLong) -> g -> [CLong] # randoms :: RandomGen g => g -> [CLong] # randomRIO :: (CLong, CLong) -> IO CLong # randomIO :: IO CLong #
Random CULong
Instance details Defined in System.Random Methods randomR :: RandomGen g => (CULong, CULong) -> g -> (CULong, g) # random :: RandomGen g => g -> (CULong, g) # randomRs :: RandomGen g => (CULong, CULong) -> g -> [CULong] # randoms :: RandomGen g => g -> [CULong] # randomRIO :: (CULong, CULong) -> IO CULong # randomIO :: IO CULong #
Random CLLong
Instance details Defined in System.Random Methods randomR :: RandomGen g => (CLLong, CLLong) -> g -> (CLLong, g) # random :: RandomGen g => g -> (CLLong, g) # randomRs :: RandomGen g => (CLLong, CLLong) -> g -> [CLLong] # randoms :: RandomGen g => g -> [CLLong] # randomRIO :: (CLLong, CLLong) -> IO CLLong # randomIO :: IO CLLong #
Random CULLong
Instance details Defined in System.Random Methods randomR :: RandomGen g => (CULLong, CULLong) -> g -> (CULLong, g) # random :: RandomGen g => g -> (CULLong, g) # randomRs :: RandomGen g => (CULLong, CULLong) -> g -> [CULLong] # randoms :: RandomGen g => g -> [CULLong] # randomRIO :: (CULLong, CULLong) -> IO CULLong # randomIO :: IO CULLong #
Random CFloat
Instance details Defined in System.Random Methods randomR :: RandomGen g => (CFloat, CFloat) -> g -> (CFloat, g) # random :: RandomGen g => g -> (CFloat, g) # randomRs :: RandomGen g => (CFloat, CFloat) -> g -> [CFloat] # randoms :: RandomGen g => g -> [CFloat] # randomRIO :: (CFloat, CFloat) -> IO CFloat # randomIO :: IO CFloat #
Random CDouble
Instance details Defined in System.Random Methods randomR :: RandomGen g => (CDouble, CDouble) -> g -> (CDouble, g) # random :: RandomGen g => g -> (CDouble, g) # randomRs :: RandomGen g => (CDouble, CDouble) -> g -> [CDouble] # randoms :: RandomGen g => g -> [CDouble] # randomRIO :: (CDouble, CDouble) -> IO CDouble # randomIO :: IO CDouble #
Random CPtrdiff
Instance details Defined in System.Random Methods randomR :: RandomGen g => (CPtrdiff, CPtrdiff) -> g -> (CPtrdiff, g) # random :: RandomGen g => g -> (CPtrdiff, g) # randomRs :: RandomGen g => (CPtrdiff, CPtrdiff) -> g -> [CPtrdiff] # randoms :: RandomGen g => g -> [CPtrdiff] # randomRIO :: (CPtrdiff, CPtrdiff) -> IO CPtrdiff # randomIO :: IO CPtrdiff #
Random CSize
Instance details Defined in System.Random Methods randomR :: RandomGen g => (CSize, CSize) -> g -> (CSize, g) # random :: RandomGen g => g -> (CSize, g) # randomRs :: RandomGen g => (CSize, CSize) -> g -> [CSize] # randoms :: RandomGen g => g -> [CSize] # randomRIO :: (CSize, CSize) -> IO CSize # randomIO :: IO CSize #
Random CWchar
Instance details Defined in System.Random Methods randomR :: RandomGen g => (CWchar, CWchar) -> g -> (CWchar, g) # random :: RandomGen g => g -> (CWchar, g) # randomRs :: RandomGen g => (CWchar, CWchar) -> g -> [CWchar] # randoms :: RandomGen g => g -> [CWchar] # randomRIO :: (CWchar, CWchar) -> IO CWchar # randomIO :: IO CWchar #
Random CSigAtomic
Instance details Defined in System.Random Methods randomR :: RandomGen g => (CSigAtomic, CSigAtomic) -> g -> (CSigAtomic, g) # random :: RandomGen g => g -> (CSigAtomic, g) # randomRs :: RandomGen g => (CSigAtomic, CSigAtomic) -> g -> [CSigAtomic] # randoms :: RandomGen g => g -> [CSigAtomic] # randomRIO :: (CSigAtomic, CSigAtomic) -> IO CSigAtomic # randomIO :: IO CSigAtomic #
Random CIntPtr
Instance details Defined in System.Random Methods randomR :: RandomGen g => (CIntPtr, CIntPtr) -> g -> (CIntPtr, g) # random :: RandomGen g => g -> (CIntPtr, g) # randomRs :: RandomGen g => (CIntPtr, CIntPtr) -> g -> [CIntPtr] # randoms :: RandomGen g => g -> [CIntPtr] # randomRIO :: (CIntPtr, CIntPtr) -> IO CIntPtr # randomIO :: IO CIntPtr #
Random CUIntPtr
Instance details Defined in System.Random Methods randomR :: RandomGen g => (CUIntPtr, CUIntPtr) -> g -> (CUIntPtr, g) # random :: RandomGen g => g -> (CUIntPtr, g) # randomRs :: RandomGen g => (CUIntPtr, CUIntPtr) -> g -> [CUIntPtr] # randoms :: RandomGen g => g -> [CUIntPtr] # randomRIO :: (CUIntPtr, CUIntPtr) -> IO CUIntPtr # randomIO :: IO CUIntPtr #
Random CIntMax
Instance details Defined in System.Random Methods randomR :: RandomGen g => (CIntMax, CIntMax) -> g -> (CIntMax, g) # random :: RandomGen g => g -> (CIntMax, g) # randomRs :: RandomGen g => (CIntMax, CIntMax) -> g -> [CIntMax] # randoms :: RandomGen g => g -> [CIntMax] # randomRIO :: (CIntMax, CIntMax) -> IO CIntMax # randomIO :: IO CIntMax #
Random CUIntMax
Instance details Defined in System.Random Methods randomR :: RandomGen g => (CUIntMax, CUIntMax) -> g -> (CUIntMax, g) # random :: RandomGen g => g -> (CUIntMax, g) # randomRs :: RandomGen g => (CUIntMax, CUIntMax) -> g -> [CUIntMax] # randoms :: RandomGen g => g -> [CUIntMax] # randomRIO :: (CUIntMax, CUIntMax) -> IO CUIntMax # randomIO :: IO CUIntMax #
Random UUID
Instance details Defined in Data.UUID.Types.Internal Methods randomR :: RandomGen g => (UUID, UUID) -> g -> (UUID, g) # random :: RandomGen g => g -> (UUID, g) # randomRs :: RandomGen g => (UUID, UUID) -> g -> [UUID] # randoms :: RandomGen g => g -> [UUID] # randomRIO :: (UUID, UUID) -> IO UUID # randomIO :: IO UUID #

data StdGen #

The StdGen instance of RandomGen has a genRange of at least 30 bits.

The result of repeatedly using next should be at least as statistically robust as the Minimal Standard Random Number Generator described by [System.Random, System.Random]. Until more is known about implementations of split, all we require is that split deliver generators that are (a) not identical and (b) independently robust in the sense just given.

The Show and Read instances of StdGen provide a primitive way to save the state of a random number generator. It is required that read (show g) == g.

In addition, reads may be used to map an arbitrary string (not necessarily one produced by show) onto a value of type StdGen. In general, the Read instance of StdGen has the following properties:

It guarantees to succeed on any string.
It guarantees to consume only a finite portion of the string.
Different argument strings are likely to result in different results.

Instances

Read StdGen
Instance details Defined in System.Random Methods readsPrec :: Int -> ReadS StdGen # readList :: ReadS [StdGen] # readPrec :: ReadPrec StdGen # readListPrec :: ReadPrec [StdGen] #
Show StdGen
Instance details Defined in System.Random Methods showsPrec :: Int -> StdGen -> ShowS # show :: StdGen -> String # showList :: [StdGen] -> ShowS #
RandomGen StdGen
Instance details Defined in System.Random Methods next :: StdGen -> (Int, StdGen) # genRange :: StdGen -> (Int, Int) # split :: StdGen -> (StdGen, StdGen) #
MonadSplit StdGen IO
Instance details Defined in Control.Monad.Random.Class Methods getSplit :: IO StdGen #

class RandomGen g where #

The class RandomGen provides a common interface to random number generators.

Minimal complete definition

next, split

Methods

next :: g -> (Int, g) #

The next operation returns an Int that is uniformly distributed in the range returned by genRange (including both end points), and a new generator.

genRange :: g -> (Int, Int) #

The genRange operation yields the range of values returned by the generator.

It is required that:

If (a,b) = genRange g, then a < b.
genRange always returns a pair of defined Ints.

The second condition ensures that genRange cannot examine its argument, and hence the value it returns can be determined only by the instance of RandomGen. That in turn allows an implementation to make a single call to genRange to establish a generator's range, without being concerned that the generator returned by (say) next might have a different range to the generator passed to next.

The default definition spans the full range of Int.

split :: g -> (g, g) #

The split operation allows one to obtain two distinct random number generators. This is very useful in functional programs (for example, when passing a random number generator down to recursive calls), but very little work has been done on statistically robust implementations of split ([System.Random, System.Random] are the only examples we know of).

Instances

RandomGen StdGen
Instance details Defined in System.Random Methods next :: StdGen -> (Int, StdGen) # genRange :: StdGen -> (Int, Int) # split :: StdGen -> (StdGen, StdGen) #

mkStdGen :: Int -> StdGen #

The function mkStdGen provides an alternative way of producing an initial generator, by mapping an Int into a generator. Again, distinct arguments should be likely to produce distinct generators.

setStdGen :: StdGen -> IO () #

Sets the global random number generator.

getStdGen :: IO StdGen #

Gets the global random number generator.

newStdGen :: IO StdGen #

Applies split to the current global random generator, updates it with one of the results, and returns the other.

getStdRandom :: (StdGen -> (a, StdGen)) -> IO a #

Uses the supplied function to get a value from the current global random generator, and updates the global generator with the new generator returned by the function. For example, rollDice gets a random integer between 1 and 6:

 rollDice :: IO Int
 rollDice = getStdRandom (randomR (1,6))

class MonadTrans (t :: (Type -> Type) -> Type -> Type) where #

The class of monad transformers. Instances should satisfy the following laws, which state that lift is a monad transformation:

```
lift . return = return
```
```
lift (m >>= f) = lift m >>= (lift . f)
```

Methods

lift :: Monad m => m a -> t m a #

Lift a computation from the argument monad to the constructed monad.

Instances

MonadTrans Free	This is not a true monad transformer. It is only a monad transformer "up to `retract`".
Instance details Defined in Control.Monad.Free Methods lift :: Monad m => m a -> Free m a #
MonadTrans Yoneda
Instance details Defined in Data.Functor.Yoneda Methods lift :: Monad m => m a -> Yoneda m a #
MonadTrans (RandT g)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods lift :: Monad m => m a -> RandT g m a #
MonadTrans (ExceptT e)
Instance details Defined in Control.Monad.Trans.Except Methods lift :: Monad m => m a -> ExceptT e m a #
MonadTrans (FreeT f)
Instance details Defined in Control.Monad.Trans.Free Methods lift :: Monad m => m a -> FreeT f m a #
Alternative f => MonadTrans (CofreeT f)
Instance details Defined in Control.Comonad.Trans.Cofree Methods lift :: Monad m => m a -> CofreeT f m a #
MonadTrans (ErrorT e)
Instance details Defined in Control.Monad.Trans.Error Methods lift :: Monad m => m a -> ErrorT e m a #
MonadTrans (StateT s)
Instance details Defined in Control.Monad.Trans.State.Strict Methods lift :: Monad m => m a -> StateT s m a #
MonadTrans (StateT s)
Instance details Defined in Control.Monad.Trans.State.Lazy Methods lift :: Monad m => m a -> StateT s m a #
MonadTrans (ReaderT r :: (Type -> Type) -> Type -> Type)
Instance details Defined in Control.Monad.Trans.Reader Methods lift :: Monad m => m a -> ReaderT r m a #

class (Alternative m, Monad m) => MonadPlus (m :: Type -> Type) where #

Monads that also support choice and failure.

Minimal complete definition

Nothing

Methods

mzero :: m a #

The identity of mplus. It should also satisfy the equations

mzero >>= f  =  mzero
v >> mzero   =  mzero

The default definition is

mzero = empty

mplus :: m a -> m a -> m a #

An associative operation. The default definition is

mplus = (<|>)

Instances

MonadPlus []	Since: base-2.1
Instance details Defined in GHC.Base Methods mzero :: [a] # mplus :: [a] -> [a] -> [a] #
MonadPlus Maybe	Since: base-2.1
Instance details Defined in GHC.Base Methods mzero :: Maybe a # mplus :: Maybe a -> Maybe a -> Maybe a #
MonadPlus IO	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods mzero :: IO a # mplus :: IO a -> IO a -> IO a #
MonadPlus IResult
Instance details Defined in Data.Aeson.Types.Internal Methods mzero :: IResult a # mplus :: IResult a -> IResult a -> IResult a #
MonadPlus Result
Instance details Defined in Data.Aeson.Types.Internal Methods mzero :: Result a # mplus :: Result a -> Result a -> Result a #
MonadPlus Parser
Instance details Defined in Data.Aeson.Types.Internal Methods mzero :: Parser a # mplus :: Parser a -> Parser a -> Parser a #
MonadPlus Option	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods mzero :: Option a # mplus :: Option a -> Option a -> Option a #
MonadPlus STM	Since: base-4.3.0.0
Instance details Defined in GHC.Conc.Sync Methods mzero :: STM a # mplus :: STM a -> STM a -> STM a #
MonadPlus ReadP	Since: base-2.1
Instance details Defined in Text.ParserCombinators.ReadP Methods mzero :: ReadP a # mplus :: ReadP a -> ReadP a -> ReadP a #
MonadPlus Seq
Instance details Defined in Data.Sequence.Internal Methods mzero :: Seq a # mplus :: Seq a -> Seq a -> Seq a #
MonadPlus DList
Instance details Defined in Data.DList Methods mzero :: DList a # mplus :: DList a -> DList a -> DList a #
MonadPlus Vector
Instance details Defined in Data.Vector Methods mzero :: Vector a # mplus :: Vector a -> Vector a -> Vector a #
MonadPlus SmallArray
Instance details Defined in Data.Primitive.SmallArray Methods mzero :: SmallArray a # mplus :: SmallArray a -> SmallArray a -> SmallArray a #
MonadPlus Array
Instance details Defined in Data.Primitive.Array Methods mzero :: Array a # mplus :: Array a -> Array a -> Array a #
MonadPlus P	Since: base-2.1
Instance details Defined in Text.ParserCombinators.ReadP Methods mzero :: P a # mplus :: P a -> P a -> P a #
MonadPlus (U1 :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods mzero :: U1 a # mplus :: U1 a -> U1 a -> U1 a #
MonadPlus (Parser i)
Instance details Defined in Data.Attoparsec.Internal.Types Methods mzero :: Parser i a # mplus :: Parser i a -> Parser i a -> Parser i a #
MonadPlus (Proxy :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Proxy Methods mzero :: Proxy a # mplus :: Proxy a -> Proxy a -> Proxy a #
(Functor v, MonadPlus v) => MonadPlus (Free v)	This violates the MonadPlus laws, handle with care.
Instance details Defined in Control.Monad.Free Methods mzero :: Free v a # mplus :: Free v a -> Free v a -> Free v a #
MonadPlus m => MonadPlus (Yoneda m)
Instance details Defined in Data.Functor.Yoneda Methods mzero :: Yoneda m a # mplus :: Yoneda m a -> Yoneda m a -> Yoneda m a #
MonadPlus (ReifiedFold s)
Instance details Defined in Control.Lens.Reified Methods mzero :: ReifiedFold s a # mplus :: ReifiedFold s a -> ReifiedFold s a -> ReifiedFold s a #
MonadPlus f => MonadPlus (Rec1 f)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods mzero :: Rec1 f a # mplus :: Rec1 f a -> Rec1 f a -> Rec1 f a #
MonadPlus m => MonadPlus (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods mzero :: RandT g m a # mplus :: RandT g m a -> RandT g m a -> RandT g m a #
MonadPlus f => MonadPlus (Ap f)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid Methods mzero :: Ap f a # mplus :: Ap f a -> Ap f a -> Ap f a #
MonadPlus f => MonadPlus (Alt f)	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods mzero :: Alt f a # mplus :: Alt f a -> Alt f a -> Alt f a #
(Monad m, Monoid e) => MonadPlus (ExceptT e m)
Instance details Defined in Control.Monad.Trans.Except Methods mzero :: ExceptT e m a # mplus :: ExceptT e m a -> ExceptT e m a -> ExceptT e m a #
(Functor f, MonadPlus m) => MonadPlus (FreeT f m)
Instance details Defined in Control.Monad.Trans.Free Methods mzero :: FreeT f m a # mplus :: FreeT f m a -> FreeT f m a -> FreeT f m a #
(Monad m, Error e) => MonadPlus (ErrorT e m)
Instance details Defined in Control.Monad.Trans.Error Methods mzero :: ErrorT e m a # mplus :: ErrorT e m a -> ErrorT e m a -> ErrorT e m a #
MonadPlus m => MonadPlus (StateT s m)
Instance details Defined in Control.Monad.Trans.State.Strict Methods mzero :: StateT s m a # mplus :: StateT s m a -> StateT s m a -> StateT s m a #
MonadPlus m => MonadPlus (StateT s m)
Instance details Defined in Control.Monad.Trans.State.Lazy Methods mzero :: StateT s m a # mplus :: StateT s m a -> StateT s m a -> StateT s m a #
(MonadPlus f, MonadPlus g) => MonadPlus (f :*: g)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods mzero :: (f :: g) a # mplus :: (f :: g) a -> (f :: g) a -> (f :: g) a #
MonadPlus m => MonadPlus (ReaderT r m)
Instance details Defined in Control.Monad.Trans.Reader Methods mzero :: ReaderT r m a # mplus :: ReaderT r m a -> ReaderT r m a -> ReaderT r m a #
MonadPlus f => MonadPlus (M1 i c f)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods mzero :: M1 i c f a # mplus :: M1 i c f a -> M1 i c f a -> M1 i c f a #

(=<<) :: Monad m => (a -> m b) -> m a -> m b infixr 1 #

Same as >>=, but with the arguments interchanged.

when :: Applicative f => Bool -> f () -> f () #

Conditional execution of Applicative expressions. For example,

when debug (putStrLn "Debugging")

will output the string Debugging if the Boolean value debug is True, and otherwise do nothing.

liftM :: Monad m => (a1 -> r) -> m a1 -> m r #

Promote a function to a monad.

liftM2 :: Monad m => (a1 -> a2 -> r) -> m a1 -> m a2 -> m r #

Promote a function to a monad, scanning the monadic arguments from left to right. For example,

liftM2 (+) [0,1] [0,2] = [0,2,1,3]
liftM2 (+) (Just 1) Nothing = Nothing

liftM3 :: Monad m => (a1 -> a2 -> a3 -> r) -> m a1 -> m a2 -> m a3 -> m r #

Promote a function to a monad, scanning the monadic arguments from left to right (cf. liftM2).

liftM4 :: Monad m => (a1 -> a2 -> a3 -> a4 -> r) -> m a1 -> m a2 -> m a3 -> m a4 -> m r #

Promote a function to a monad, scanning the monadic arguments from left to right (cf. liftM2).

liftM5 :: Monad m => (a1 -> a2 -> a3 -> a4 -> a5 -> r) -> m a1 -> m a2 -> m a3 -> m a4 -> m a5 -> m r #

Promote a function to a monad, scanning the monadic arguments from left to right (cf. liftM2).

ap :: Monad m => m (a -> b) -> m a -> m b #

In many situations, the liftM operations can be replaced by uses of ap, which promotes function application.

return f `ap` x1 `ap` ... `ap` xn

is equivalent to

liftMn f x1 x2 ... xn

void :: Functor f => f a -> f () #

void value discards or ignores the result of evaluation, such as the return value of an IO action.

Examples

Expand

Replace the contents of a Maybe Int with unit:

>>> void Nothing
Nothing
>>> void (Just 3)
Just ()

Replace the contents of an Either Int Int with unit, resulting in an Either Int '()':

>>> void (Left 8675309)
Left 8675309
>>> void (Right 8675309)
Right ()

Replace every element of a list with unit:

>>> void [1,2,3]
[(),(),()]

Replace the second element of a pair with unit:

>>> void (1,2)
(1,())

Discard the result of an IO action:

>>> mapM print [1,2]
1
2
[(),()]
>>> void $ mapM print [1,2]
1
2

fix :: (a -> a) -> a #

fix f is the least fixed point of the function f, i.e. the least defined x such that f x = x.

For example, we can write the factorial function using direct recursion as

>>> let fac n = if n <= 1 then 1 else n * fac (n-1) in fac 5
120

This uses the fact that Haskell’s let introduces recursive bindings. We can rewrite this definition using fix,

>>> fix (\rec n -> if n <= 1 then 1 else n * rec (n-1)) 5
120

Instead of making a recursive call, we introduce a dummy parameter rec; when used within fix, this parameter then refers to fix' argument, hence the recursion is reintroduced.

mapM_ :: (Foldable t, Monad m) => (a -> m b) -> t a -> m () #

Map each element of a structure to a monadic action, evaluate these actions from left to right, and ignore the results. For a version that doesn't ignore the results see mapM.

As of base 4.8.0.0, mapM_ is just traverse_, specialized to Monad.

forM_ :: (Foldable t, Monad m) => t a -> (a -> m b) -> m () #

forM_ is mapM_ with its arguments flipped. For a version that doesn't ignore the results see forM.

As of base 4.8.0.0, forM_ is just for_, specialized to Monad.

sequence_ :: (Foldable t, Monad m) => t (m a) -> m () #

Evaluate each monadic action in the structure from left to right, and ignore the results. For a version that doesn't ignore the results see sequence.

As of base 4.8.0.0, sequence_ is just sequenceA_, specialized to Monad.

msum :: (Foldable t, MonadPlus m) => t (m a) -> m a #

The sum of a collection of actions, generalizing concat. As of base 4.8.0.0, msum is just asum, specialized to MonadPlus.

forM :: (Traversable t, Monad m) => t a -> (a -> m b) -> m (t b) #

forM is mapM with its arguments flipped. For a version that ignores the results see forM_.

filterM :: Applicative m => (a -> m Bool) -> [a] -> m [a] #

This generalizes the list-based filter function.

(>=>) :: Monad m => (a -> m b) -> (b -> m c) -> a -> m c infixr 1 #

Left-to-right composition of Kleisli arrows.

(<=<) :: Monad m => (b -> m c) -> (a -> m b) -> a -> m c infixr 1 #

Right-to-left composition of Kleisli arrows. (>=>), with the arguments flipped.

Note how this operator resembles function composition (.):

(.)   ::            (b ->   c) -> (a ->   b) -> a ->   c
(<=<) :: Monad m => (b -> m c) -> (a -> m b) -> a -> m c

forever :: Applicative f => f a -> f b #

Repeat an action indefinitely.

Examples

Expand

A common use of forever is to process input from network sockets, Handles, and channels (e.g. MVar and Chan).

For example, here is how we might implement an echo server, using forever both to listen for client connections on a network socket and to echo client input on client connection handles:

echoServer :: Socket -> IO ()
echoServer socket = forever $ do
  client <- accept socket
  forkFinally (echo client) (\_ -> hClose client)
  where
    echo :: Handle -> IO ()
    echo client = forever $
      hGetLine client >>= hPutStrLn client

mapAndUnzipM :: Applicative m => (a -> m (b, c)) -> [a] -> m ([b], [c]) #

The mapAndUnzipM function maps its first argument over a list, returning the result as a pair of lists. This function is mainly used with complicated data structures or a state-transforming monad.

zipWithM :: Applicative m => (a -> b -> m c) -> [a] -> [b] -> m [c] #

The zipWithM function generalizes zipWith to arbitrary applicative functors.

zipWithM_ :: Applicative m => (a -> b -> m c) -> [a] -> [b] -> m () #

zipWithM_ is the extension of zipWithM which ignores the final result.

foldM :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m b #

The foldM function is analogous to foldl, except that its result is encapsulated in a monad. Note that foldM works from left-to-right over the list arguments. This could be an issue where (>>) and the `folded function' are not commutative.

foldM f a1 [x1, x2, ..., xm]

==

do
  a2 <- f a1 x1
  a3 <- f a2 x2
  ...
  f am xm

If right-to-left evaluation is required, the input list should be reversed.

Note: foldM is the same as foldlM

foldM_ :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m () #

Like foldM, but discards the result.

replicateM :: Applicative m => Int -> m a -> m [a] #

replicateM n act performs the action n times, gathering the results.

replicateM_ :: Applicative m => Int -> m a -> m () #

Like replicateM, but discards the result.

unless :: Applicative f => Bool -> f () -> f () #

The reverse of when.

(<$!>) :: Monad m => (a -> b) -> m a -> m b infixl 4 #

Strict version of <$>.

Since: base-4.8.0.0

mfilter :: MonadPlus m => (a -> Bool) -> m a -> m a #

Direct MonadPlus equivalent of filter.

Examples

Expand

The filter function is just mfilter specialized to the list monad:

filter = ( mfilter :: (a -> Bool) -> [a] -> [a] )

An example using mfilter with the Maybe monad:

>>> mfilter odd (Just 1)
Just 1
>>> mfilter odd (Just 2)
Nothing

class Monad m => MonadIO (m :: Type -> Type) where #

Monads in which IO computations may be embedded. Any monad built by applying a sequence of monad transformers to the IO monad will be an instance of this class.

Instances should satisfy the following laws, which state that liftIO is a transformer of monads:

```
liftIO . return = return
```

liftIO (m >>= f) = liftIO m >>= (liftIO . f)

Methods

liftIO :: IO a -> m a #

Lift a computation from the IO monad.

Instances

MonadIO IO	Since: base-4.9.0.0
Instance details Defined in Control.Monad.IO.Class Methods liftIO :: IO a -> IO a #
MonadIO Q
Instance details Defined in Language.Haskell.TH.Syntax Methods liftIO :: IO a -> Q a #
MonadIO m => MonadIO (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods liftIO :: IO a -> RandT g m a #
MonadIO m => MonadIO (ExceptT e m)
Instance details Defined in Control.Monad.Trans.Except Methods liftIO :: IO a -> ExceptT e m a #
(Functor f, MonadIO m) => MonadIO (FreeT f m)
Instance details Defined in Control.Monad.Trans.Free Methods liftIO :: IO a -> FreeT f m a #
(Error e, MonadIO m) => MonadIO (ErrorT e m)
Instance details Defined in Control.Monad.Trans.Error Methods liftIO :: IO a -> ErrorT e m a #
MonadIO m => MonadIO (StateT s m)
Instance details Defined in Control.Monad.Trans.State.Strict Methods liftIO :: IO a -> StateT s m a #
MonadIO m => MonadIO (StateT s m)
Instance details Defined in Control.Monad.Trans.State.Lazy Methods liftIO :: IO a -> StateT s m a #
MonadIO m => MonadIO (ReaderT r m)
Instance details Defined in Control.Monad.Trans.Reader Methods liftIO :: IO a -> ReaderT r m a #

modify :: MonadState s m => (s -> s) -> m () #

Monadic state transformer.

Maps an old state to a new state inside a state monad. The old state is thrown away.

     Main> :t modify ((+1) :: Int -> Int)
     modify (...) :: (MonadState Int a) => a ()

This says that modify (+1) acts over any Monad that is a member of the MonadState class, with an Int state.

evalRandTIO :: MonadIO m => RandT StdGen m a -> m a #

Evaluate a random computation that is embedded in the IO monad, splitting the global standard generator to get a new one for the computation.

evalRandIO :: Rand StdGen a -> IO a #

Evaluate a random computation in the IO monad, splitting the global standard generator to get a new one for the computation.

withRandT :: (g -> g) -> RandT g m a -> RandT g m a #

withRandT f m executes action m on a generator modified by applying f.

```
withRandT f m = modify f >> m
```

mapRandT :: (m (a, g) -> n (b, g)) -> RandT g m a -> RandT g n b #

Map both the return value and final generator of a computation using the given function.

runRandT (mapRandT f m) = f . runRandT m

execRandT :: Monad m => RandT g m a -> g -> m g #

Evaluate a random computation with the given initial generator and return the final generator, discarding the final value.

execRandT m g = liftM snd (runRandT m g)

evalRandT :: Monad m => RandT g m a -> g -> m a #

Evaluate a random computation with the given initial generator and return the final value, discarding the final generator.

evalRandT m g = liftM fst (runRandT m g)

runRandT #

Arguments

:: RandT g m a	generator-passing computation to execute
-> g	initial generator
-> m (a, g)	return value and final generator

Unwrap a random monad computation as an impure function. (The inverse of liftRandT.)

liftRandT #

Arguments

:: (g -> m (a, g))	impure random transformer
-> RandT g m a	equivalent generator-passing computation

Construct a random monad computation from an impure function. (The inverse of runRandT.)

withRand :: (g -> g) -> Rand g a -> Rand g a #

withRand f m executes action m on a generator modified by applying f.

```
withRand f m = modify f >> m
```

mapRand :: ((a, g) -> (b, g)) -> Rand g a -> Rand g b #

Map both the return value and final generator of a computation using the given function.

```
runRand (mapRand f m) = f . runRand m
```

execRand #

Arguments

:: Rand g a	generator-passing computation to execute
-> g	initial generator
-> g	final generator

Evaluate a random computation with the given initial generator and return the final generator, discarding the final value.

```
execRand m s = snd (runRand m s)
```

evalRand #

Arguments

:: Rand g a	generator-passing computation to execute
-> g	initial generator
-> a	return value of the random computation

Evaluate a random computation with the given initial generator and return the final value, discarding the final generator.

```
evalRand m s = fst (runRand m s)
```

runRand #

Arguments

:: Rand g a	generator-passing computation to execute
-> g	initial generator
-> (a, g)	return value and final generator

Unwrap a random monad computation as a function. (The inverse of liftRand.)

liftRand #

Arguments

:: (g -> (a, g))	pure random transformer
-> Rand g a	equivalent generator-passing computation

Construct a random monad computation from a function. (The inverse of runRand.)

type Rand g = RandT g Identity #

A random monad parameterized by the type g of the generator to carry.

The return function leaves the generator unchanged, while >>= uses the final generator of the first computation as the initial generator of the second.

data RandT g (m :: Type -> Type) a #

A random transformer monad parameterized by:

g - The generator.
m - The inner monad.

The return function leaves the generator unchanged, while >>= uses the final generator of the first computation as the initial generator of the second.

Instances

(MonadReader r m, MonadWriter w m, MonadState s m) => MonadRWS r w s (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy
(RandomGen g, Monad m) => MonadSplit g (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods getSplit :: RandT g m g #
MonadReader r m => MonadReader r (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods ask :: RandT g m r # local :: (r -> r) -> RandT g m a -> RandT g m a # reader :: (r -> a) -> RandT g m a #
MonadState s m => MonadState s (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods get :: RandT g m s # put :: s -> RandT g m () # state :: (s -> (a, s)) -> RandT g m a #
MonadError e m => MonadError e (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods throwError :: e -> RandT g m a # catchError :: RandT g m a -> (e -> RandT g m a) -> RandT g m a #
MonadWriter w m => MonadWriter w (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods writer :: (a, w) -> RandT g m a # tell :: w -> RandT g m () # listen :: RandT g m a -> RandT g m (a, w) # pass :: RandT g m (a, w -> w) -> RandT g m a #
MonadTrans (RandT g)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods lift :: Monad m => m a -> RandT g m a #
Monad m => Monad (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods (>>=) :: RandT g m a -> (a -> RandT g m b) -> RandT g m b # (>>) :: RandT g m a -> RandT g m b -> RandT g m b # return :: a -> RandT g m a # fail :: String -> RandT g m a #
Functor m => Functor (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods fmap :: (a -> b) -> RandT g m a -> RandT g m b # (<$) :: a -> RandT g m b -> RandT g m a #
MonadFix m => MonadFix (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods mfix :: (a -> RandT g m a) -> RandT g m a #
MonadFail m => MonadFail (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods fail :: String -> RandT g m a #
Monad m => Applicative (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods pure :: a -> RandT g m a # (<>) :: RandT g m (a -> b) -> RandT g m a -> RandT g m b # liftA2 :: (a -> b -> c) -> RandT g m a -> RandT g m b -> RandT g m c # (>) :: RandT g m a -> RandT g m b -> RandT g m b # (<*) :: RandT g m a -> RandT g m b -> RandT g m a #
MonadPlus m => MonadPlus (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods mzero :: RandT g m a # mplus :: RandT g m a -> RandT g m a -> RandT g m a #
MonadIO m => MonadIO (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods liftIO :: IO a -> RandT g m a #
(RandomGen g, Monad m) => MonadRandom (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods getRandomR :: Random a => (a, a) -> RandT g m a # getRandom :: Random a => RandT g m a # getRandomRs :: Random a => (a, a) -> RandT g m [a] # getRandoms :: Random a => RandT g m [a] #
(Monad m, RandomGen g) => MonadInterleave (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods interleave :: RandT g m a -> RandT g m a #
MonadPlus m => Alternative (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods empty :: RandT g m a # (<\|>) :: RandT g m a -> RandT g m a -> RandT g m a # some :: RandT g m a -> RandT g m [a] # many :: RandT g m a -> RandT g m [a] #
MonadCont m => MonadCont (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods callCC :: ((a -> RandT g m b) -> RandT g m a) -> RandT g m a #
PrimMonad m => PrimMonad (RandT s m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Associated Types type PrimState (RandT s m) :: Type # Methods primitive :: (State# (PrimState (RandT s m)) -> (#State# (PrimState (RandT s m)), a#)) -> RandT s m a #
type PrimState (RandT s m)
Instance details Defined in Control.Monad.Trans.Random.Lazy type PrimState (RandT s m) = PrimState m

uniformMay :: (Foldable t, MonadRandom m) => t a -> m (Maybe a) #

Sample a value uniformly from a collection of elements. Return Nothing if the collection is empty.

uniform :: (Foldable t, MonadRandom m) => t a -> m a #

Sample a value uniformly from a nonempty collection of elements.

fromListMay :: MonadRandom m => [(a, Rational)] -> m (Maybe a) #

Sample a random value from a weighted list. Return Nothing if the list is empty or the total weight is zero.

fromList :: MonadRandom m => [(a, Rational)] -> m a #

Sample a random value from a weighted list. The list must be non-empty and the total weight must be non-zero.

weightedMay :: (Foldable t, MonadRandom m) => t (a, Rational) -> m (Maybe a) #

Sample a random value from a weighted collection of elements. Returns Nothing if the collection is empty or the total weight is zero.

weighted :: (Foldable t, MonadRandom m) => t (a, Rational) -> m a #

Sample a random value from a weighted nonempty collection of elements. Crashes with a call to error if the collection is empty or the total weight is zero.

class Monad m => MonadRandom (m :: Type -> Type) where #

With a source of random number supply in hand, the MonadRandom class allows the programmer to extract random values of a variety of types.

Methods

getRandomR :: Random a => (a, a) -> m a #

Takes a range (lo,hi) and a random number generator g, and returns a computation that returns a random value uniformly distributed in the closed interval [lo,hi], together with a new generator. It is unspecified what happens if lo>hi. For continuous types there is no requirement that the values lo and hi are ever produced, but they may be, depending on the implementation and the interval.

See randomR for details.

getRandom :: Random a => m a #

The same as getRandomR, but using a default range determined by the type:

For bounded types (instances of Bounded, such as Char), the range is normally the whole type.
For fractional types, the range is normally the semi-closed interval [0,1).
For Integer, the range is (arbitrarily) the range of Int.

See random for details.

getRandomRs :: Random a => (a, a) -> m [a] #

Plural variant of getRandomR, producing an infinite list of random values instead of returning a new generator.

See randomRs for details.

getRandoms :: Random a => m [a] #

Plural variant of getRandom, producing an infinite list of random values instead of returning a new generator.

See randoms for details.

Instances

MonadRandom IO
Instance details Defined in Control.Monad.Random.Class Methods getRandomR :: Random a => (a, a) -> IO a # getRandom :: Random a => IO a # getRandomRs :: Random a => (a, a) -> IO [a] # getRandoms :: Random a => IO [a] #
MonadRandom m => MonadRandom (MaybeT m)
Instance details Defined in Control.Monad.Random.Class Methods getRandomR :: Random a => (a, a) -> MaybeT m a # getRandom :: Random a => MaybeT m a # getRandomRs :: Random a => (a, a) -> MaybeT m [a] # getRandoms :: Random a => MaybeT m [a] #
MonadRandom m => MonadRandom (ListT m)
Instance details Defined in Control.Monad.Random.Class Methods getRandomR :: Random a => (a, a) -> ListT m a # getRandom :: Random a => ListT m a # getRandomRs :: Random a => (a, a) -> ListT m [a] # getRandoms :: Random a => ListT m [a] #
(RandomGen g, Monad m) => MonadRandom (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods getRandomR :: Random a => (a, a) -> RandT g m a # getRandom :: Random a => RandT g m a # getRandomRs :: Random a => (a, a) -> RandT g m [a] # getRandoms :: Random a => RandT g m [a] #
MonadRandom m => MonadRandom (IdentityT m)
Instance details Defined in Control.Monad.Random.Class Methods getRandomR :: Random a => (a, a) -> IdentityT m a # getRandom :: Random a => IdentityT m a # getRandomRs :: Random a => (a, a) -> IdentityT m [a] # getRandoms :: Random a => IdentityT m [a] #
MonadRandom m => MonadRandom (ExceptT e m)
Instance details Defined in Control.Monad.Random.Class Methods getRandomR :: Random a => (a, a) -> ExceptT e m a # getRandom :: Random a => ExceptT e m a # getRandomRs :: Random a => (a, a) -> ExceptT e m [a] # getRandoms :: Random a => ExceptT e m [a] #
(Error e, MonadRandom m) => MonadRandom (ErrorT e m)
Instance details Defined in Control.Monad.Random.Class Methods getRandomR :: Random a => (a, a) -> ErrorT e m a # getRandom :: Random a => ErrorT e m a # getRandomRs :: Random a => (a, a) -> ErrorT e m [a] # getRandoms :: Random a => ErrorT e m [a] #
MonadRandom m => MonadRandom (StateT s m)
Instance details Defined in Control.Monad.Random.Class Methods getRandomR :: Random a => (a, a) -> StateT s m a # getRandom :: Random a => StateT s m a # getRandomRs :: Random a => (a, a) -> StateT s m [a] # getRandoms :: Random a => StateT s m [a] #
(MonadRandom m, Monoid w) => MonadRandom (WriterT w m)
Instance details Defined in Control.Monad.Random.Class Methods getRandomR :: Random a => (a, a) -> WriterT w m a # getRandom :: Random a => WriterT w m a # getRandomRs :: Random a => (a, a) -> WriterT w m [a] # getRandoms :: Random a => WriterT w m [a] #
MonadRandom m => MonadRandom (StateT s m)
Instance details Defined in Control.Monad.Random.Class Methods getRandomR :: Random a => (a, a) -> StateT s m a # getRandom :: Random a => StateT s m a # getRandomRs :: Random a => (a, a) -> StateT s m [a] # getRandoms :: Random a => StateT s m [a] #
(MonadRandom m, Monoid w) => MonadRandom (WriterT w m)
Instance details Defined in Control.Monad.Random.Class Methods getRandomR :: Random a => (a, a) -> WriterT w m a # getRandom :: Random a => WriterT w m a # getRandomRs :: Random a => (a, a) -> WriterT w m [a] # getRandoms :: Random a => WriterT w m [a] #
MonadRandom m => MonadRandom (ReaderT r m)
Instance details Defined in Control.Monad.Random.Class Methods getRandomR :: Random a => (a, a) -> ReaderT r m a # getRandom :: Random a => ReaderT r m a # getRandomRs :: Random a => (a, a) -> ReaderT r m [a] # getRandoms :: Random a => ReaderT r m [a] #
MonadRandom m => MonadRandom (ContT r m)
Instance details Defined in Control.Monad.Random.Class Methods getRandomR :: Random a => (a, a) -> ContT r m a # getRandom :: Random a => ContT r m a # getRandomRs :: Random a => (a, a) -> ContT r m [a] # getRandoms :: Random a => ContT r m [a] #
(Monoid w, MonadRandom m) => MonadRandom (RWST r w s m)
Instance details Defined in Control.Monad.Random.Class Methods getRandomR :: Random a => (a, a) -> RWST r w s m a # getRandom :: Random a => RWST r w s m a # getRandomRs :: Random a => (a, a) -> RWST r w s m [a] # getRandoms :: Random a => RWST r w s m [a] #
(Monoid w, MonadRandom m) => MonadRandom (RWST r w s m)
Instance details Defined in Control.Monad.Random.Class Methods getRandomR :: Random a => (a, a) -> RWST r w s m a # getRandom :: Random a => RWST r w s m a # getRandomRs :: Random a => (a, a) -> RWST r w s m [a] # getRandoms :: Random a => RWST r w s m [a] #

class Monad m => MonadSplit g (m :: Type -> Type) | m -> g where #

The class MonadSplit proivides a way to specify a random number generator that can be split into two new generators.

This class is not very useful in practice: typically, one cannot actually do anything with a generator. It remains here to avoid breaking existing code unnecessarily. For a more practically useful interface, see MonadInterleave.

Methods

getSplit :: m g #

The getSplit operation allows one to obtain two distinct random number generators.

See split for details.

Instances

MonadSplit StdGen IO
Instance details Defined in Control.Monad.Random.Class Methods getSplit :: IO StdGen #
MonadSplit g m => MonadSplit g (MaybeT m)
Instance details Defined in Control.Monad.Random.Class Methods getSplit :: MaybeT m g #
MonadSplit g m => MonadSplit g (ListT m)
Instance details Defined in Control.Monad.Random.Class Methods getSplit :: ListT m g #
(Monoid w, MonadSplit g m) => MonadSplit g (WriterT w m)
Instance details Defined in Control.Monad.Random.Class Methods getSplit :: WriterT w m g #
(Monoid w, MonadSplit g m) => MonadSplit g (WriterT w m)
Instance details Defined in Control.Monad.Random.Class Methods getSplit :: WriterT w m g #
MonadSplit g m => MonadSplit g (StateT s m)
Instance details Defined in Control.Monad.Random.Class Methods getSplit :: StateT s m g #
MonadSplit g m => MonadSplit g (StateT s m)
Instance details Defined in Control.Monad.Random.Class Methods getSplit :: StateT s m g #
MonadSplit g m => MonadSplit g (IdentityT m)
Instance details Defined in Control.Monad.Random.Class Methods getSplit :: IdentityT m g #
MonadSplit g m => MonadSplit g (ExceptT e m)
Instance details Defined in Control.Monad.Random.Class Methods getSplit :: ExceptT e m g #
(Error e, MonadSplit g m) => MonadSplit g (ErrorT e m)
Instance details Defined in Control.Monad.Random.Class Methods getSplit :: ErrorT e m g #
(RandomGen g, Monad m) => MonadSplit g (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods getSplit :: RandT g m g #
MonadSplit g m => MonadSplit g (ReaderT r m)
Instance details Defined in Control.Monad.Random.Class Methods getSplit :: ReaderT r m g #
MonadSplit g m => MonadSplit g (ContT r m)
Instance details Defined in Control.Monad.Random.Class Methods getSplit :: ContT r m g #
(Monoid w, MonadSplit g m) => MonadSplit g (RWST r w s m)
Instance details Defined in Control.Monad.Random.Class Methods getSplit :: RWST r w s m g #
(Monoid w, MonadSplit g m) => MonadSplit g (RWST r w s m)
Instance details Defined in Control.Monad.Random.Class Methods getSplit :: RWST r w s m g #

class MonadRandom m => MonadInterleave (m :: Type -> Type) where #

The class MonadInterleave proivides a convenient interface atop a split operation on a random generator.

Methods

interleave :: m a -> m a #

If x :: m a is a computation in some random monad, then interleave x works by splitting the generator, running x using one half, and using the other half as the final generator state of interleave x (replacing whatever the final generator state otherwise would have been). This means that computation needing random values which comes after interleave x does not necessarily depend on the computation of x. For example:

>>> evalRandIO $ snd <$> ((,) <$> undefined <*> getRandom)
*** Exception: Prelude.undefined
>>> evalRandIO $ snd <$> ((,) <$> interleave undefined <*> getRandom)
6192322188769041625

This can be used, for example, to allow random computations to run in parallel, or to create lazy infinite structures of random values. In the example below, the infinite tree randTree cannot be evaluated lazily: even though it is cut off at two levels deep by hew 2, the random value in the right subtree still depends on generation of all the random values in the (infinite) left subtree, even though they are ultimately unneeded. Inserting a call to interleave, as in randTreeI, solves the problem: the generator splits at each Node, so random values in the left and right subtrees are generated independently.

data Tree = Leaf | Node Int Tree Tree deriving Show

hew :: Int -> Tree -> Tree
hew 0 _    = Leaf
hew _ Leaf = Leaf
hew n (Node x l r) = Node x (hew (n-1) l) (hew (n-1) r)

randTree :: Rand StdGen Tree
randTree = Node <$> getRandom <*> randTree <*> randTree

randTreeI :: Rand StdGen Tree
randTreeI = interleave $ Node <$> getRandom <*> randTreeI <*> randTreeI

>>> hew 2 <$> evalRandIO randTree
Node 2168685089479838995 (Node (-1040559818952481847) Leaf Leaf) (Node ^CInterrupted.
>>> hew 2 <$> evalRandIO randTreeI
Node 8243316398511136358 (Node 4139784028141790719 Leaf Leaf) (Node 4473998613878251948 Leaf Leaf)

Instances

MonadInterleave m => MonadInterleave (MaybeT m)
Instance details Defined in Control.Monad.Random.Class Methods interleave :: MaybeT m a -> MaybeT m a #
MonadInterleave m => MonadInterleave (ListT m)
Instance details Defined in Control.Monad.Random.Class Methods interleave :: ListT m a -> ListT m a #
(Monad m, RandomGen g) => MonadInterleave (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods interleave :: RandT g m a -> RandT g m a #
MonadInterleave m => MonadInterleave (IdentityT m)
Instance details Defined in Control.Monad.Random.Class Methods interleave :: IdentityT m a -> IdentityT m a #
MonadInterleave m => MonadInterleave (ExceptT e m)
Instance details Defined in Control.Monad.Random.Class Methods interleave :: ExceptT e m a -> ExceptT e m a #
(Error e, MonadInterleave m) => MonadInterleave (ErrorT e m)
Instance details Defined in Control.Monad.Random.Class Methods interleave :: ErrorT e m a -> ErrorT e m a #
MonadInterleave m => MonadInterleave (StateT s m)
Instance details Defined in Control.Monad.Random.Class Methods interleave :: StateT s m a -> StateT s m a #
(Monoid w, MonadInterleave m) => MonadInterleave (WriterT w m)
Instance details Defined in Control.Monad.Random.Class Methods interleave :: WriterT w m a -> WriterT w m a #
MonadInterleave m => MonadInterleave (StateT s m)
Instance details Defined in Control.Monad.Random.Class Methods interleave :: StateT s m a -> StateT s m a #
(Monoid w, MonadInterleave m) => MonadInterleave (WriterT w m)
Instance details Defined in Control.Monad.Random.Class Methods interleave :: WriterT w m a -> WriterT w m a #
MonadInterleave m => MonadInterleave (ReaderT r m)
Instance details Defined in Control.Monad.Random.Class Methods interleave :: ReaderT r m a -> ReaderT r m a #
MonadInterleave m => MonadInterleave (ContT r m)
Instance details Defined in Control.Monad.Random.Class Methods interleave :: ContT r m a -> ContT r m a #
(Monoid w, MonadInterleave m) => MonadInterleave (RWST r w s m)
Instance details Defined in Control.Monad.Random.Class Methods interleave :: RWST r w s m a -> RWST r w s m a #
(Monoid w, MonadInterleave m) => MonadInterleave (RWST r w s m)
Instance details Defined in Control.Monad.Random.Class Methods interleave :: RWST r w s m a -> RWST r w s m a #

either :: (a -> c) -> (b -> c) -> Either a b -> c #

Case analysis for the Either type. If the value is Left a, apply the first function to a; if it is Right b, apply the second function to b.

Examples

Expand

We create two values of type Either String Int, one using the Left constructor and another using the Right constructor. Then we apply "either" the length function (if we have a String) or the "times-two" function (if we have an Int):

>>> let s = Left "foo" :: Either String Int
>>> let n = Right 3 :: Either String Int
>>> either length (*2) s
3
>>> either length (*2) n
6

class Monad m => MonadReader r (m :: Type -> Type) | m -> r where #

See examples in Control.Monad.Reader. Note, the partially applied function type (->) r is a simple reader monad. See the instance declaration below.

Minimal complete definition

(ask | reader), local

Methods

ask :: m r #

Retrieves the monad environment.

local #

Arguments

:: (r -> r)	The function to modify the environment.
-> m a	`Reader` to run in the modified environment.
-> m a

Executes a computation in a modified environment.

reader #

Arguments

:: (r -> a)	The selector function to apply to the environment.
-> m a

Retrieves a function of the current environment.

Instances

MonadReader r m => MonadReader r (MaybeT m)
Instance details Defined in Control.Monad.Reader.Class Methods ask :: MaybeT m r # local :: (r -> r) -> MaybeT m a -> MaybeT m a # reader :: (r -> a) -> MaybeT m a #
MonadReader r m => MonadReader r (ListT m)
Instance details Defined in Control.Monad.Reader.Class Methods ask :: ListT m r # local :: (r -> r) -> ListT m a -> ListT m a # reader :: (r -> a) -> ListT m a #
MonadReader s (ReifiedGetter s)
Instance details Defined in Control.Lens.Reified Methods ask :: ReifiedGetter s s # local :: (s -> s) -> ReifiedGetter s a -> ReifiedGetter s a # reader :: (s -> a) -> ReifiedGetter s a #
MonadReader s (ReifiedFold s)
Instance details Defined in Control.Lens.Reified Methods ask :: ReifiedFold s s # local :: (s -> s) -> ReifiedFold s a -> ReifiedFold s a # reader :: (s -> a) -> ReifiedFold s a #
(Functor m, MonadReader e m) => MonadReader e (Free m)
Instance details Defined in Control.Monad.Free Methods ask :: Free m e # local :: (e -> e) -> Free m a -> Free m a # reader :: (e -> a) -> Free m a #
(Representable f, Rep f ~ a) => MonadReader a (Co f)
Instance details Defined in Data.Functor.Rep Methods ask :: Co f a # local :: (a -> a) -> Co f a0 -> Co f a0 # reader :: (a -> a0) -> Co f a0 #
(Monoid w, MonadReader r m) => MonadReader r (WriterT w m)
Instance details Defined in Control.Monad.Reader.Class Methods ask :: WriterT w m r # local :: (r -> r) -> WriterT w m a -> WriterT w m a # reader :: (r -> a) -> WriterT w m a #
(Monoid w, MonadReader r m) => MonadReader r (WriterT w m)
Instance details Defined in Control.Monad.Reader.Class Methods ask :: WriterT w m r # local :: (r -> r) -> WriterT w m a -> WriterT w m a # reader :: (r -> a) -> WriterT w m a #
MonadReader r m => MonadReader r (StateT s m)
Instance details Defined in Control.Monad.Reader.Class Methods ask :: StateT s m r # local :: (r -> r) -> StateT s m a -> StateT s m a # reader :: (r -> a) -> StateT s m a #
MonadReader r m => MonadReader r (StateT s m)
Instance details Defined in Control.Monad.Reader.Class Methods ask :: StateT s m r # local :: (r -> r) -> StateT s m a -> StateT s m a # reader :: (r -> a) -> StateT s m a #
MonadReader r m => MonadReader r (IdentityT m)
Instance details Defined in Control.Monad.Reader.Class Methods ask :: IdentityT m r # local :: (r -> r) -> IdentityT m a -> IdentityT m a # reader :: (r -> a) -> IdentityT m a #
MonadReader r m => MonadReader r (ExceptT e m)	Since: mtl-2.2
Instance details Defined in Control.Monad.Reader.Class Methods ask :: ExceptT e m r # local :: (r -> r) -> ExceptT e m a -> ExceptT e m a # reader :: (r -> a) -> ExceptT e m a #
(Error e, MonadReader r m) => MonadReader r (ErrorT e m)
Instance details Defined in Control.Monad.Reader.Class Methods ask :: ErrorT e m r # local :: (r -> r) -> ErrorT e m a -> ErrorT e m a # reader :: (r -> a) -> ErrorT e m a #
(Functor f, MonadReader r m) => MonadReader r (FreeT f m)
Instance details Defined in Control.Monad.Trans.Free Methods ask :: FreeT f m r # local :: (r -> r) -> FreeT f m a -> FreeT f m a # reader :: (r -> a) -> FreeT f m a #
MonadReader r m => MonadReader r (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods ask :: RandT g m r # local :: (r -> r) -> RandT g m a -> RandT g m a # reader :: (r -> a) -> RandT g m a #
Monad m => MonadReader r (ReaderT r m)
Instance details Defined in Control.Monad.Reader.Class Methods ask :: ReaderT r m r # local :: (r -> r) -> ReaderT r m a -> ReaderT r m a # reader :: (r -> a) -> ReaderT r m a #
MonadReader r ((->) r :: Type -> Type)
Instance details Defined in Control.Monad.Reader.Class Methods ask :: r -> r # local :: (r -> r) -> (r -> a) -> r -> a # reader :: (r -> a) -> r -> a #
MonadReader r' m => MonadReader r' (ContT r m)
Instance details Defined in Control.Monad.Reader.Class Methods ask :: ContT r m r' # local :: (r' -> r') -> ContT r m a -> ContT r m a # reader :: (r' -> a) -> ContT r m a #
(Monad m, Monoid w) => MonadReader r (RWST r w s m)
Instance details Defined in Control.Monad.Reader.Class Methods ask :: RWST r w s m r # local :: (r -> r) -> RWST r w s m a -> RWST r w s m a # reader :: (r -> a) -> RWST r w s m a #
(Monad m, Monoid w) => MonadReader r (RWST r w s m)
Instance details Defined in Control.Monad.Reader.Class Methods ask :: RWST r w s m r # local :: (r -> r) -> RWST r w s m a -> RWST r w s m a # reader :: (r -> a) -> RWST r w s m a #

class Monad m => MonadState s (m :: Type -> Type) | m -> s where #

Minimal definition is either both of get and put or just state

Minimal complete definition

state | get, put

Methods

get :: m s #

Return the state from the internals of the monad.

put :: s -> m () #

Replace the state inside the monad.

state :: (s -> (a, s)) -> m a #

Embed a simple state action into the monad.

Instances

MonadState s m => MonadState s (MaybeT m)
Instance details Defined in Control.Monad.State.Class Methods get :: MaybeT m s # put :: s -> MaybeT m () # state :: (s -> (a, s)) -> MaybeT m a #
MonadState s m => MonadState s (ListT m)
Instance details Defined in Control.Monad.State.Class Methods get :: ListT m s # put :: s -> ListT m () # state :: (s -> (a, s)) -> ListT m a #
(Functor m, MonadState s m) => MonadState s (Free m)
Instance details Defined in Control.Monad.Free Methods get :: Free m s # put :: s -> Free m () # state :: (s -> (a, s)) -> Free m a #
(Monoid w, MonadState s m) => MonadState s (WriterT w m)
Instance details Defined in Control.Monad.State.Class Methods get :: WriterT w m s # put :: s -> WriterT w m () # state :: (s -> (a, s)) -> WriterT w m a #
(Monoid w, MonadState s m) => MonadState s (WriterT w m)
Instance details Defined in Control.Monad.State.Class Methods get :: WriterT w m s # put :: s -> WriterT w m () # state :: (s -> (a, s)) -> WriterT w m a #
Monad m => MonadState s (StateT s m)
Instance details Defined in Control.Monad.State.Class Methods get :: StateT s m s # put :: s -> StateT s m () # state :: (s -> (a, s)) -> StateT s m a #
Monad m => MonadState s (StateT s m)
Instance details Defined in Control.Monad.State.Class Methods get :: StateT s m s # put :: s -> StateT s m () # state :: (s -> (a, s)) -> StateT s m a #
MonadState s m => MonadState s (IdentityT m)
Instance details Defined in Control.Monad.State.Class Methods get :: IdentityT m s # put :: s -> IdentityT m () # state :: (s -> (a, s)) -> IdentityT m a #
MonadState s m => MonadState s (ExceptT e m)	Since: mtl-2.2
Instance details Defined in Control.Monad.State.Class Methods get :: ExceptT e m s # put :: s -> ExceptT e m () # state :: (s -> (a, s)) -> ExceptT e m a #
(Error e, MonadState s m) => MonadState s (ErrorT e m)
Instance details Defined in Control.Monad.State.Class Methods get :: ErrorT e m s # put :: s -> ErrorT e m () # state :: (s -> (a, s)) -> ErrorT e m a #
(Functor f, MonadState s m) => MonadState s (FreeT f m)
Instance details Defined in Control.Monad.Trans.Free Methods get :: FreeT f m s # put :: s -> FreeT f m () # state :: (s -> (a, s)) -> FreeT f m a #
MonadState s m => MonadState s (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods get :: RandT g m s # put :: s -> RandT g m () # state :: (s -> (a, s)) -> RandT g m a #
MonadState s m => MonadState s (ReaderT r m)
Instance details Defined in Control.Monad.State.Class Methods get :: ReaderT r m s # put :: s -> ReaderT r m () # state :: (s -> (a, s)) -> ReaderT r m a #
MonadState s m => MonadState s (ContT r m)
Instance details Defined in Control.Monad.State.Class Methods get :: ContT r m s # put :: s -> ContT r m () # state :: (s -> (a, s)) -> ContT r m a #
(Monad m, Monoid w) => MonadState s (RWST r w s m)
Instance details Defined in Control.Monad.State.Class Methods get :: RWST r w s m s # put :: s -> RWST r w s m () # state :: (s -> (a, s)) -> RWST r w s m a #
(Monad m, Monoid w) => MonadState s (RWST r w s m)
Instance details Defined in Control.Monad.State.Class Methods get :: RWST r w s m s # put :: s -> RWST r w s m () # state :: (s -> (a, s)) -> RWST r w s m a #

data ByteString #

A space-efficient representation of a Word8 vector, supporting many efficient operations.

A ByteString contains 8-bit bytes, or by using the operations from Data.ByteString.Char8 it can be interpreted as containing 8-bit characters.

Instances

Eq ByteString
Instance details Defined in Data.ByteString.Internal Methods (==) :: ByteString -> ByteString -> Bool # (/=) :: ByteString -> ByteString -> Bool #
Data ByteString
Instance details Defined in Data.ByteString.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> ByteString -> c ByteString # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c ByteString # toConstr :: ByteString -> Constr # dataTypeOf :: ByteString -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c ByteString) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ByteString) # gmapT :: (forall b. Data b => b -> b) -> ByteString -> ByteString # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> ByteString -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> ByteString -> r # gmapQ :: (forall d. Data d => d -> u) -> ByteString -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> ByteString -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> ByteString -> m ByteString # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> ByteString -> m ByteString # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> ByteString -> m ByteString #
Ord ByteString
Instance details Defined in Data.ByteString.Internal Methods compare :: ByteString -> ByteString -> Ordering # (<) :: ByteString -> ByteString -> Bool # (<=) :: ByteString -> ByteString -> Bool # (>) :: ByteString -> ByteString -> Bool # (>=) :: ByteString -> ByteString -> Bool # max :: ByteString -> ByteString -> ByteString # min :: ByteString -> ByteString -> ByteString #
Read ByteString
Instance details Defined in Data.ByteString.Internal Methods readsPrec :: Int -> ReadS ByteString # readList :: ReadS [ByteString] # readPrec :: ReadPrec ByteString # readListPrec :: ReadPrec [ByteString] #
Show ByteString
Instance details Defined in Data.ByteString.Internal Methods showsPrec :: Int -> ByteString -> ShowS # show :: ByteString -> String # showList :: [ByteString] -> ShowS #
IsString ByteString
Instance details Defined in Data.ByteString.Internal Methods fromString :: String -> ByteString #
Semigroup ByteString
Instance details Defined in Data.ByteString.Internal Methods (<>) :: ByteString -> ByteString -> ByteString # sconcat :: NonEmpty ByteString -> ByteString # stimes :: Integral b => b -> ByteString -> ByteString #
Monoid ByteString
Instance details Defined in Data.ByteString.Internal Methods mempty :: ByteString # mappend :: ByteString -> ByteString -> ByteString # mconcat :: [ByteString] -> ByteString #
Hashable ByteString
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> ByteString -> Int # hash :: ByteString -> Int #
Chunk ByteString
Instance details Defined in Data.Attoparsec.Internal.Types Associated Types type ChunkElem ByteString :: Type # Methods nullChunk :: ByteString -> Bool # pappendChunk :: State ByteString -> ByteString -> State ByteString # atBufferEnd :: ByteString -> State ByteString -> Pos # bufferElemAt :: ByteString -> Pos -> State ByteString -> Maybe (ChunkElem ByteString, Int) # chunkElemToChar :: ByteString -> ChunkElem ByteString -> Char #
NFData ByteString
Instance details Defined in Data.ByteString.Internal Methods rnf :: ByteString -> () #
Ixed ByteString
Instance details Defined in Control.Lens.At Methods ix :: Index ByteString -> Traversal' ByteString (IxValue ByteString) #
Print ByteString
Instance details Defined in Protolude.Show Methods hPutStr :: MonadIO m => Handle -> ByteString -> m () # putStr :: MonadIO m => ByteString -> m () # hPutStrLn :: MonadIO m => Handle -> ByteString -> m () # putStrLn :: MonadIO m => ByteString -> m () # putErrLn :: MonadIO m => ByteString -> m () #
StringConv ByteString ByteString
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> ByteString -> ByteString #
StringConv ByteString ByteString
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> ByteString0 -> ByteString #
StringConv ByteString Text
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> ByteString -> Text #
StringConv ByteString Text
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> ByteString -> Text #
StringConv ByteString String
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> ByteString -> String #
StringConv ByteString ByteString
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> ByteString -> ByteString0 #
StringConv Text ByteString
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> Text -> ByteString #
StringConv Text ByteString
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> Text -> ByteString #
StringConv String ByteString
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> String -> ByteString #
Cons ByteString ByteString Word8 Word8
Instance details Defined in Control.Lens.Cons Methods _Cons :: Prism ByteString ByteString (Word8, ByteString) (Word8, ByteString) #
Snoc ByteString ByteString Word8 Word8
Instance details Defined in Control.Lens.Cons Methods _Snoc :: Prism ByteString ByteString (ByteString, Word8) (ByteString, Word8) #
type State ByteString
Instance details Defined in Data.Attoparsec.Internal.Types type State ByteString = Buffer
type ChunkElem ByteString
Instance details Defined in Data.Attoparsec.Internal.Types type ChunkElem ByteString = Word8
type Index ByteString
Instance details Defined in Control.Lens.At type Index ByteString = Int
type IxValue ByteString
Instance details Defined in Control.Lens.At type IxValue ByteString = Word8

(<$>) :: Functor f => (a -> b) -> f a -> f b infixl 4 #

An infix synonym for fmap.

The name of this operator is an allusion to $. Note the similarities between their types:

 ($)  ::              (a -> b) ->   a ->   b
(<$>) :: Functor f => (a -> b) -> f a -> f b

Whereas $ is function application, <$> is function application lifted over a Functor.

Examples

Expand

Convert from a Maybe Int to a Maybe String using show:

>>> show <$> Nothing
Nothing
>>> show <$> Just 3
Just "3"

Convert from an Either Int Int to an Either Int String using show:

>>> show <$> Left 17
Left 17
>>> show <$> Right 17
Right "17"

Double each element of a list:

>>> (*2) <$> [1,2,3]
[2,4,6]

Apply even to the second element of a pair:

>>> even <$> (2,2)
(2,True)

class Hashable a where #

The class of types that can be converted to a hash value.

Minimal implementation: hashWithSalt.

Minimal complete definition

Nothing

Methods

hashWithSalt :: Int -> a -> Int infixl 0 #

Return a hash value for the argument, using the given salt.

The general contract of hashWithSalt is:

If two values are equal according to the == method, then applying the hashWithSalt method on each of the two values must produce the same integer result if the same salt is used in each case.
It is not required that if two values are unequal according to the == method, then applying the hashWithSalt method on each of the two values must produce distinct integer results. However, the programmer should be aware that producing distinct integer results for unequal values may improve the performance of hashing-based data structures.
This method can be used to compute different hash values for the same input by providing a different salt in each application of the method. This implies that any instance that defines hashWithSalt must make use of the salt in its implementation.

hash :: a -> Int #

Like hashWithSalt, but no salt is used. The default implementation uses hashWithSalt with some default salt. Instances might want to implement this method to provide a more efficient implementation than the default implementation.

Instances

Hashable Bool
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Bool -> Int # hash :: Bool -> Int #
Hashable Char
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Char -> Int # hash :: Char -> Int #
Hashable Double
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Double -> Int # hash :: Double -> Int #
Hashable Float
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Float -> Int # hash :: Float -> Int #
Hashable Int
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Int -> Int # hash :: Int -> Int #
Hashable Int8
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Int8 -> Int # hash :: Int8 -> Int #
Hashable Int16
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Int16 -> Int # hash :: Int16 -> Int #
Hashable Int32
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Int32 -> Int # hash :: Int32 -> Int #
Hashable Int64
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Int64 -> Int # hash :: Int64 -> Int #
Hashable Integer
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Integer -> Int # hash :: Integer -> Int #
Hashable Natural
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Natural -> Int # hash :: Natural -> Int #
Hashable Ordering
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Ordering -> Int # hash :: Ordering -> Int #
Hashable Word
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Word -> Int # hash :: Word -> Int #
Hashable Word8
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Word8 -> Int # hash :: Word8 -> Int #
Hashable Word16
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Word16 -> Int # hash :: Word16 -> Int #
Hashable Word32
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Word32 -> Int # hash :: Word32 -> Int #
Hashable Word64
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Word64 -> Int # hash :: Word64 -> Int #
Hashable SomeTypeRep
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> SomeTypeRep -> Int # hash :: SomeTypeRep -> Int #
Hashable ()
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> () -> Int # hash :: () -> Int #
Hashable ByteString
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> ByteString -> Int # hash :: ByteString -> Int #
Hashable ByteString
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> ByteString -> Int # hash :: ByteString -> Int #
Hashable Scientific	A hash can be safely calculated from a `Scientific`. No magnitude `10^e` is calculated so there's no risk of a blowup in space or time when hashing scientific numbers coming from untrusted sources.
Instance details Defined in Data.Scientific Methods hashWithSalt :: Int -> Scientific -> Int # hash :: Scientific -> Int #
Hashable Text
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Text -> Int # hash :: Text -> Int #
Hashable Value
Instance details Defined in Data.Aeson.Types.Internal Methods hashWithSalt :: Int -> Value -> Int # hash :: Value -> Int #
Hashable ThreadId
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> ThreadId -> Int # hash :: ThreadId -> Int #
Hashable Text
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Text -> Int # hash :: Text -> Int #
Hashable BigNat
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> BigNat -> Int # hash :: BigNat -> Int #
Hashable Void
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Void -> Int # hash :: Void -> Int #
Hashable Unique
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Unique -> Int # hash :: Unique -> Int #
Hashable Version
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Version -> Int # hash :: Version -> Int #
Hashable WordPtr
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> WordPtr -> Int # hash :: WordPtr -> Int #
Hashable IntPtr
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> IntPtr -> Int # hash :: IntPtr -> Int #
Hashable ShortByteString
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> ShortByteString -> Int # hash :: ShortByteString -> Int #
Hashable UUID
Instance details Defined in Data.UUID.Types.Internal Methods hashWithSalt :: Int -> UUID -> Int # hash :: UUID -> Int #
Hashable a => Hashable [a]
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> [a] -> Int # hash :: [a] -> Int #
Hashable a => Hashable (Maybe a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Maybe a -> Int # hash :: Maybe a -> Int #
Hashable a => Hashable (Ratio a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Ratio a -> Int # hash :: Ratio a -> Int #
Hashable (Ptr a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Ptr a -> Int # hash :: Ptr a -> Int #
Hashable (FunPtr a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> FunPtr a -> Int # hash :: FunPtr a -> Int #
Hashable (Async a)
Instance details Defined in Control.Concurrent.Async Methods hashWithSalt :: Int -> Async a -> Int # hash :: Async a -> Int #
Hashable a => Hashable (Complex a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Complex a -> Int # hash :: Complex a -> Int #
Hashable (Fixed a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Fixed a -> Int # hash :: Fixed a -> Int #
Hashable a => Hashable (Min a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Min a -> Int # hash :: Min a -> Int #
Hashable a => Hashable (Max a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Max a -> Int # hash :: Max a -> Int #
Hashable a => Hashable (First a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> First a -> Int # hash :: First a -> Int #
Hashable a => Hashable (Last a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Last a -> Int # hash :: Last a -> Int #
Hashable a => Hashable (WrappedMonoid a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> WrappedMonoid a -> Int # hash :: WrappedMonoid a -> Int #
Hashable a => Hashable (Option a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Option a -> Int # hash :: Option a -> Int #
Hashable (StableName a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> StableName a -> Int # hash :: StableName a -> Int #
Hashable a => Hashable (Identity a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Identity a -> Int # hash :: Identity a -> Int #
Hashable a => Hashable (NonEmpty a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> NonEmpty a -> Int # hash :: NonEmpty a -> Int #
Hashable (Hashed a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Hashed a -> Int # hash :: Hashed a -> Int #
Hashable a => Hashable (HashSet a)
Instance details Defined in Data.HashSet Methods hashWithSalt :: Int -> HashSet a -> Int # hash :: HashSet a -> Int #
(Hashable a, Hashable b) => Hashable (Either a b)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Either a b -> Int # hash :: Either a b -> Int #
Hashable (TypeRep a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> TypeRep a -> Int # hash :: TypeRep a -> Int #
(Hashable a1, Hashable a2) => Hashable (a1, a2)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> (a1, a2) -> Int # hash :: (a1, a2) -> Int #
(Hashable k, Hashable v) => Hashable (HashMap k v)
Instance details Defined in Data.HashMap.Base Methods hashWithSalt :: Int -> HashMap k v -> Int # hash :: HashMap k v -> Int #
(Hashable a, Hashable b) => Hashable (Arg a b)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Arg a b -> Int # hash :: Arg a b -> Int #
Hashable (Proxy a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Proxy a -> Int # hash :: Proxy a -> Int #
(Hashable a1, Hashable a2, Hashable a3) => Hashable (a1, a2, a3)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> (a1, a2, a3) -> Int # hash :: (a1, a2, a3) -> Int #
Hashable a => Hashable (Const a b)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Const a b -> Int # hash :: Const a b -> Int #
(Hashable a1, Hashable a2, Hashable a3, Hashable a4) => Hashable (a1, a2, a3, a4)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> (a1, a2, a3, a4) -> Int # hash :: (a1, a2, a3, a4) -> Int #
(Hashable1 f, Hashable1 g, Hashable a) => Hashable (Product f g a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Product f g a -> Int # hash :: Product f g a -> Int #
(Hashable1 f, Hashable1 g, Hashable a) => Hashable (Sum f g a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Sum f g a -> Int # hash :: Sum f g a -> Int #
(Hashable a1, Hashable a2, Hashable a3, Hashable a4, Hashable a5) => Hashable (a1, a2, a3, a4, a5)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> (a1, a2, a3, a4, a5) -> Int # hash :: (a1, a2, a3, a4, a5) -> Int #
(Hashable1 f, Hashable1 g, Hashable a) => Hashable (Compose f g a)	In general, `hash (Compose x) ≠ hash x`. However, `hashWithSalt` satisfies its variant of this equivalence.
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Compose f g a -> Int # hash :: Compose f g a -> Int #
(Hashable a1, Hashable a2, Hashable a3, Hashable a4, Hashable a5, Hashable a6) => Hashable (a1, a2, a3, a4, a5, a6)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> (a1, a2, a3, a4, a5, a6) -> Int # hash :: (a1, a2, a3, a4, a5, a6) -> Int #
(Hashable a1, Hashable a2, Hashable a3, Hashable a4, Hashable a5, Hashable a6, Hashable a7) => Hashable (a1, a2, a3, a4, a5, a6, a7)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> (a1, a2, a3, a4, a5, a6, a7) -> Int # hash :: (a1, a2, a3, a4, a5, a6, a7) -> Int #

data Text #

A space efficient, packed, unboxed Unicode text type.

Instances

Hashable Text
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Text -> Int # hash :: Text -> Int #
ToJSON Text
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Text -> Value # toEncoding :: Text -> Encoding # toJSONList :: [Text] -> Value # toEncodingList :: [Text] -> Encoding #
KeyValue Object	Constructs a singleton `HashMap`. For calling functions that demand an `Object` for constructing objects. To be used in conjunction with `mconcat`. Prefer to use `object` where possible.
Instance details Defined in Data.Aeson.Types.ToJSON Methods (.=) :: ToJSON v => Text -> v -> Object #
KeyValue Pair
Instance details Defined in Data.Aeson.Types.ToJSON Methods (.=) :: ToJSON v => Text -> v -> Pair #
ToJSONKey Text
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSONKey :: ToJSONKeyFunction Text # toJSONKeyList :: ToJSONKeyFunction [Text] #
FromJSON Text
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Text # parseJSONList :: Value -> Parser [Text] #
FromJSONKey Text
Instance details Defined in Data.Aeson.Types.FromJSON Methods fromJSONKey :: FromJSONKeyFunction Text # fromJSONKeyList :: FromJSONKeyFunction [Text] #
Chunk Text
Instance details Defined in Data.Attoparsec.Internal.Types Associated Types type ChunkElem Text :: Type # Methods nullChunk :: Text -> Bool # pappendChunk :: State Text -> Text -> State Text # atBufferEnd :: Text -> State Text -> Pos # bufferElemAt :: Text -> Pos -> State Text -> Maybe (ChunkElem Text, Int) # chunkElemToChar :: Text -> ChunkElem Text -> Char #
Ixed Text
Instance details Defined in Control.Lens.At Methods ix :: Index Text -> Traversal' Text (IxValue Text) #
Print Text
Instance details Defined in Protolude.Show Methods hPutStr :: MonadIO m => Handle -> Text -> m () # putStr :: MonadIO m => Text -> m () # hPutStrLn :: MonadIO m => Handle -> Text -> m () # putStrLn :: MonadIO m => Text -> m () # putErrLn :: MonadIO m => Text -> m () #
StringConv ByteString Text
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> ByteString -> Text #
StringConv ByteString Text
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> ByteString -> Text #
StringConv Text ByteString
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> Text -> ByteString #
StringConv Text ByteString
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> Text -> ByteString #
StringConv Text Text
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> Text -> Text #
StringConv Text Text
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> Text0 -> Text #
StringConv Text String
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> Text -> String #
StringConv Text Text
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> Text -> Text0 #
StringConv String Text
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> String -> Text #
Cons Text Text Char Char
Instance details Defined in Control.Lens.Cons Methods _Cons :: Prism Text Text (Char, Text) (Char, Text) #
Snoc Text Text Char Char
Instance details Defined in Control.Lens.Cons Methods _Snoc :: Prism Text Text (Text, Char) (Text, Char) #
FromPairs Value (DList Pair)
Instance details Defined in Data.Aeson.Types.ToJSON Methods fromPairs :: DList Pair -> Value
v ~ Value => KeyValuePair v (DList Pair)
Instance details Defined in Data.Aeson.Types.ToJSON Methods pair :: String -> v -> DList Pair
type State Text
Instance details Defined in Data.Attoparsec.Internal.Types type State Text = Buffer
type ChunkElem Text
Instance details Defined in Data.Attoparsec.Internal.Types type ChunkElem Text = Char
type Item Text
Instance details Defined in Data.Text type Item Text = Char
type Index Text
Instance details Defined in Control.Lens.At type Index Text = Int
type IxValue Text
Instance details Defined in Control.Lens.At type IxValue Text = Char

data Map k a #

A Map from keys k to values a.

Instances

Eq2 Map	Since: containers-0.5.9
Instance details Defined in Data.Map.Internal Methods liftEq2 :: (a -> b -> Bool) -> (c -> d -> Bool) -> Map a c -> Map b d -> Bool #
Ord2 Map	Since: containers-0.5.9
Instance details Defined in Data.Map.Internal Methods liftCompare2 :: (a -> b -> Ordering) -> (c -> d -> Ordering) -> Map a c -> Map b d -> Ordering #
Show2 Map	Since: containers-0.5.9
Instance details Defined in Data.Map.Internal Methods liftShowsPrec2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> Int -> Map a b -> ShowS # liftShowList2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> [Map a b] -> ShowS #
FunctorWithIndex k (Map k)
Instance details Defined in Control.Lens.Indexed Methods imap :: (k -> a -> b) -> Map k a -> Map k b # imapped :: IndexedSetter k (Map k a) (Map k b) a b #
FoldableWithIndex k (Map k)
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (k -> a -> m) -> Map k a -> m # ifolded :: IndexedFold k (Map k a) a # ifoldr :: (k -> a -> b -> b) -> b -> Map k a -> b # ifoldl :: (k -> b -> a -> b) -> b -> Map k a -> b # ifoldr' :: (k -> a -> b -> b) -> b -> Map k a -> b # ifoldl' :: (k -> b -> a -> b) -> b -> Map k a -> b #
TraversableWithIndex k (Map k)
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => (k -> a -> f b) -> Map k a -> f (Map k b) # itraversed :: IndexedTraversal k (Map k a) (Map k b) a b #
Functor (Map k)
Instance details Defined in Data.Map.Internal Methods fmap :: (a -> b) -> Map k a -> Map k b # (<$) :: a -> Map k b -> Map k a #
Foldable (Map k)
Instance details Defined in Data.Map.Internal Methods fold :: Monoid m => Map k m -> m # foldMap :: Monoid m => (a -> m) -> Map k a -> m # foldr :: (a -> b -> b) -> b -> Map k a -> b # foldr' :: (a -> b -> b) -> b -> Map k a -> b # foldl :: (b -> a -> b) -> b -> Map k a -> b # foldl' :: (b -> a -> b) -> b -> Map k a -> b # foldr1 :: (a -> a -> a) -> Map k a -> a # foldl1 :: (a -> a -> a) -> Map k a -> a # toList :: Map k a -> [a] # null :: Map k a -> Bool # length :: Map k a -> Int # elem :: Eq a => a -> Map k a -> Bool # maximum :: Ord a => Map k a -> a # minimum :: Ord a => Map k a -> a # sum :: Num a => Map k a -> a # product :: Num a => Map k a -> a #
Traversable (Map k)
Instance details Defined in Data.Map.Internal Methods traverse :: Applicative f => (a -> f b) -> Map k a -> f (Map k b) # sequenceA :: Applicative f => Map k (f a) -> f (Map k a) # mapM :: Monad m => (a -> m b) -> Map k a -> m (Map k b) # sequence :: Monad m => Map k (m a) -> m (Map k a) #
ToJSONKey k => ToJSON1 (Map k)
Instance details Defined in Data.Aeson.Types.ToJSON Methods liftToJSON :: (a -> Value) -> ([a] -> Value) -> Map k a -> Value # liftToJSONList :: (a -> Value) -> ([a] -> Value) -> [Map k a] -> Value # liftToEncoding :: (a -> Encoding) -> ([a] -> Encoding) -> Map k a -> Encoding # liftToEncodingList :: (a -> Encoding) -> ([a] -> Encoding) -> [Map k a] -> Encoding #
(FromJSONKey k, Ord k) => FromJSON1 (Map k)
Instance details Defined in Data.Aeson.Types.FromJSON Methods liftParseJSON :: (Value -> Parser a) -> (Value -> Parser [a]) -> Value -> Parser (Map k a) # liftParseJSONList :: (Value -> Parser a) -> (Value -> Parser [a]) -> Value -> Parser [Map k a] #
Eq k => Eq1 (Map k)	Since: containers-0.5.9
Instance details Defined in Data.Map.Internal Methods liftEq :: (a -> b -> Bool) -> Map k a -> Map k b -> Bool #
Ord k => Ord1 (Map k)	Since: containers-0.5.9
Instance details Defined in Data.Map.Internal Methods liftCompare :: (a -> b -> Ordering) -> Map k a -> Map k b -> Ordering #
(Ord k, Read k) => Read1 (Map k)	Since: containers-0.5.9
Instance details Defined in Data.Map.Internal Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Map k a) # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Map k a] # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Map k a) # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Map k a] #
Show k => Show1 (Map k)	Since: containers-0.5.9
Instance details Defined in Data.Map.Internal Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Map k a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Map k a] -> ShowS #
Filterable (Map k)
Instance details Defined in Data.Witherable Methods mapMaybe :: (a -> Maybe b) -> Map k a -> Map k b # catMaybes :: Map k (Maybe a) -> Map k a # filter :: (a -> Bool) -> Map k a -> Map k a #
Witherable (Map k)
Instance details Defined in Data.Witherable Methods wither :: Applicative f => (a -> f (Maybe b)) -> Map k a -> f (Map k b) # witherM :: Monad m => (a -> m (Maybe b)) -> Map k a -> m (Map k b) # filterA :: Applicative f => (a -> f Bool) -> Map k a -> f (Map k a) #
Ord k => IsList (Map k v)	Since: containers-0.5.6.2
Instance details Defined in Data.Map.Internal Associated Types type Item (Map k v) :: Type # Methods fromList :: [Item (Map k v)] -> Map k v # fromListN :: Int -> [Item (Map k v)] -> Map k v # toList :: Map k v -> [Item (Map k v)] #
(Eq k, Eq a) => Eq (Map k a)
Instance details Defined in Data.Map.Internal Methods (==) :: Map k a -> Map k a -> Bool # (/=) :: Map k a -> Map k a -> Bool #
(Data k, Data a, Ord k) => Data (Map k a)
Instance details Defined in Data.Map.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Map k a -> c (Map k a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Map k a) # toConstr :: Map k a -> Constr # dataTypeOf :: Map k a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Map k a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Map k a)) # gmapT :: (forall b. Data b => b -> b) -> Map k a -> Map k a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Map k a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Map k a -> r # gmapQ :: (forall d. Data d => d -> u) -> Map k a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Map k a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Map k a -> m (Map k a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Map k a -> m (Map k a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Map k a -> m (Map k a) #
(Ord k, Ord v) => Ord (Map k v)
Instance details Defined in Data.Map.Internal Methods compare :: Map k v -> Map k v -> Ordering # (<) :: Map k v -> Map k v -> Bool # (<=) :: Map k v -> Map k v -> Bool # (>) :: Map k v -> Map k v -> Bool # (>=) :: Map k v -> Map k v -> Bool # max :: Map k v -> Map k v -> Map k v # min :: Map k v -> Map k v -> Map k v #
(Ord k, Read k, Read e) => Read (Map k e)
Instance details Defined in Data.Map.Internal Methods readsPrec :: Int -> ReadS (Map k e) # readList :: ReadS [Map k e] # readPrec :: ReadPrec (Map k e) # readListPrec :: ReadPrec [Map k e] #
(Show k, Show a) => Show (Map k a)
Instance details Defined in Data.Map.Internal Methods showsPrec :: Int -> Map k a -> ShowS # show :: Map k a -> String # showList :: [Map k a] -> ShowS #
Ord k => Semigroup (Map k v)
Instance details Defined in Data.Map.Internal Methods (<>) :: Map k v -> Map k v -> Map k v # sconcat :: NonEmpty (Map k v) -> Map k v # stimes :: Integral b => b -> Map k v -> Map k v #
Ord k => Monoid (Map k v)
Instance details Defined in Data.Map.Internal Methods mempty :: Map k v # mappend :: Map k v -> Map k v -> Map k v # mconcat :: [Map k v] -> Map k v #
(ToJSON v, ToJSONKey k) => ToJSON (Map k v)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Map k v -> Value # toEncoding :: Map k v -> Encoding # toJSONList :: [Map k v] -> Value # toEncodingList :: [Map k v] -> Encoding #
(FromJSONKey k, Ord k, FromJSON v) => FromJSON (Map k v)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Map k v) # parseJSONList :: Value -> Parser [Map k v] #
(NFData k, NFData a) => NFData (Map k a)
Instance details Defined in Data.Map.Internal Methods rnf :: Map k a -> () #
Ord k => Ixed (Map k a)
Instance details Defined in Control.Lens.At Methods ix :: Index (Map k a) -> Traversal' (Map k a) (IxValue (Map k a)) #
Ord k => At (Map k a)
Instance details Defined in Control.Lens.At Methods at :: Index (Map k a) -> Lens' (Map k a) (Maybe (IxValue (Map k a))) #
Ord k => Wrapped (Map k a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Map k a) :: Type # Methods _Wrapped' :: Iso' (Map k a) (Unwrapped (Map k a)) #
(t ~ Map k' a', Ord k) => Rewrapped (Map k a) t	Use `wrapping fromList`. unwrapping returns a sorted list.
Instance details Defined in Control.Lens.Wrapped
type Item (Map k v)
Instance details Defined in Data.Map.Internal type Item (Map k v) = (k, v)
type Index (Map k a)
Instance details Defined in Control.Lens.At type Index (Map k a) = k
type IxValue (Map k a)
Instance details Defined in Control.Lens.At type IxValue (Map k a) = a
type Unwrapped (Map k a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Map k a) = [(k, a)]

mkLiftParseJSON2 #

Arguments

:: Options	Encoding options.
-> Name	Name of the encoded type.
-> Q Exp

Generates a lambda expression which parses the JSON encoding of the given data type or data family instance constructor by using the given parsing functions on occurrences of the last two type parameters.

mkLiftParseJSON #

Arguments

:: Options	Encoding options.
-> Name	Name of the encoded type.
-> Q Exp

Generates a lambda expression which parses the JSON encoding of the given data type or data family instance constructor by using the given parsing function on occurrences of the last type parameter.

mkParseJSON #

Arguments

:: Options	Encoding options.
-> Name	Name of the encoded type.
-> Q Exp

Generates a lambda expression which parses the JSON encoding of the given data type or data family instance constructor.

deriveFromJSON2 #

Arguments

:: Options	Encoding options.
-> Name	Name of the type for which to generate a `FromJSON3` instance declaration.
-> Q [Dec]

Generates a FromJSON2 instance declaration for the given data type or data family instance constructor.

deriveFromJSON1 #

Arguments

:: Options	Encoding options.
-> Name	Name of the type for which to generate a `FromJSON1` instance declaration.
-> Q [Dec]

Generates a FromJSON1 instance declaration for the given data type or data family instance constructor.

deriveFromJSON #

Arguments

:: Options	Encoding options.
-> Name	Name of the type for which to generate a `FromJSON` instance declaration.
-> Q [Dec]

Generates a FromJSON instance declaration for the given data type or data family instance constructor.

mkLiftToEncoding2 #

Arguments

:: Options	Encoding options.
-> Name	Name of the type to encode.
-> Q Exp

Generates a lambda expression which encodes the given data type or data family instance constructor as a JSON string by using the given encoding functions on occurrences of the last two type parameters.

mkLiftToEncoding #

Arguments

:: Options	Encoding options.
-> Name	Name of the type to encode.
-> Q Exp

Generates a lambda expression which encodes the given data type or data family instance constructor as a JSON string by using the given encoding function on occurrences of the last type parameter.

mkToEncoding #

Arguments

:: Options	Encoding options.
-> Name	Name of the type to encode.
-> Q Exp

Generates a lambda expression which encodes the given data type or data family instance constructor as a JSON string.

mkLiftToJSON2 #

Arguments

:: Options	Encoding options.
-> Name	Name of the type to encode.
-> Q Exp

Generates a lambda expression which encodes the given data type or data family instance constructor as a ToJSONFun by using the given encoding functions on occurrences of the last two type parameters.

mkLiftToJSON #

Arguments

:: Options	Encoding options.
-> Name	Name of the type to encode.
-> Q Exp

Generates a lambda expression which encodes the given data type or data family instance constructor as a ToJSONFun by using the given encoding function on occurrences of the last type parameter.

mkToJSON #

Arguments

:: Options	Encoding options.
-> Name	Name of the type to encode.
-> Q Exp

Generates a lambda expression which encodes the given data type or data family instance constructor as a ToJSONFun.

deriveToJSON2 #

Arguments

:: Options	Encoding options.
-> Name	Name of the type for which to generate a `ToJSON2` instance declaration.
-> Q [Dec]

Generates a ToJSON2 instance declaration for the given data type or data family instance constructor.

deriveToJSON1 #

Arguments

:: Options	Encoding options.
-> Name	Name of the type for which to generate a `ToJSON1` instance declaration.
-> Q [Dec]

Generates a ToJSON1 instance declaration for the given data type or data family instance constructor.

deriveToJSON #

Arguments

:: Options	Encoding options.
-> Name	Name of the type for which to generate a `JSONFun` instance declaration.
-> Q [Dec]

Generates a JSONFun instance declaration for the given data type or data family instance constructor.

deriveJSON2 #

Arguments

:: Options	Encoding options.
-> Name	Name of the type for which to generate `ToJSON2` and `FromJSON2` instances.
-> Q [Dec]

Generates both ToJSON2 and FromJSON2 instance declarations for the given data type or data family instance constructor.

This is a convienience function which is equivalent to calling both deriveToJSON2 and deriveFromJSON2.

deriveJSON1 #

Arguments

:: Options	Encoding options.
-> Name	Name of the type for which to generate `ToJSON1` and `FromJSON1` instances.
-> Q [Dec]

Generates both ToJSON1 and FromJSON1 instance declarations for the given data type or data family instance constructor.

This is a convienience function which is equivalent to calling both deriveToJSON1 and deriveFromJSON1.

deriveJSON #

Arguments

:: Options	Encoding options.
-> Name	Name of the type for which to generate `JSONFun` and `FromJSON` instances.
-> Q [Dec]

Generates both JSONFun and FromJSON instance declarations for the given data type or data family instance constructor.

This is a convienience function which is equivalent to calling both deriveToJSON and deriveFromJSON.

class ToJSON a #

A type that can be converted to JSON.

Instances in general must specify toJSON and should (but don't need to) specify toEncoding.

An example type and instance:

-- Allow ourselves to write Text literals.
{-# LANGUAGE OverloadedStrings #-}

data Coord = Coord { x :: Double, y :: Double }

instance ToJSON Coord where
  toJSON (Coord x y) = object ["x" .= x, "y" .= y]

  toEncoding (Coord x y) = pairs ("x" .= x <> "y" .= y)

Instead of manually writing your ToJSON instance, there are two options to do it automatically:

Data.Aeson.TH provides Template Haskell functions which will derive an instance at compile time. The generated instance is optimized for your type so it will probably be more efficient than the following option.
The compiler can provide a default generic implementation for toJSON.

To use the second, simply add a deriving Generic clause to your datatype and declare a ToJSON instance. If you require nothing other than defaultOptions, it is sufficient to write (and this is the only alternative where the default toJSON implementation is sufficient):

{-# LANGUAGE DeriveGeneric #-}

import GHC.Generics

data Coord = Coord { x :: Double, y :: Double } deriving Generic

instance ToJSON Coord where
    toEncoding = genericToEncoding defaultOptions

If on the other hand you wish to customize the generic decoding, you have to implement both methods:

customOptions = defaultOptions
                { fieldLabelModifier = map toUpper
                }

instance ToJSON Coord where
    toJSON     = genericToJSON customOptions
    toEncoding = genericToEncoding customOptions

Previous versions of this library only had the toJSON method. Adding toEncoding had two reasons:

toEncoding is more efficient for the common case that the output of toJSON is directly serialized to a ByteString. Further, expressing either method in terms of the other would be non-optimal.
The choice of defaults allows a smooth transition for existing users: Existing instances that do not define toEncoding still compile and have the correct semantics. This is ensured by making the default implementation of toEncoding use toJSON. This produces correct results, but since it performs an intermediate conversion to a Value, it will be less efficient than directly emitting an Encoding. (this also means that specifying nothing more than instance ToJSON Coord would be sufficient as a generically decoding instance, but there probably exists no good reason to not specify toEncoding in new instances.)

Instances

ToJSON Bool
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Bool -> Value # toEncoding :: Bool -> Encoding # toJSONList :: [Bool] -> Value # toEncodingList :: [Bool] -> Encoding #
ToJSON Char
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Char -> Value # toEncoding :: Char -> Encoding # toJSONList :: [Char] -> Value # toEncodingList :: [Char] -> Encoding #
ToJSON Double
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Double -> Value # toEncoding :: Double -> Encoding # toJSONList :: [Double] -> Value # toEncodingList :: [Double] -> Encoding #
ToJSON Float
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Float -> Value # toEncoding :: Float -> Encoding # toJSONList :: [Float] -> Value # toEncodingList :: [Float] -> Encoding #
ToJSON Int
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Int -> Value # toEncoding :: Int -> Encoding # toJSONList :: [Int] -> Value # toEncodingList :: [Int] -> Encoding #
ToJSON Int8
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Int8 -> Value # toEncoding :: Int8 -> Encoding # toJSONList :: [Int8] -> Value # toEncodingList :: [Int8] -> Encoding #
ToJSON Int16
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Int16 -> Value # toEncoding :: Int16 -> Encoding # toJSONList :: [Int16] -> Value # toEncodingList :: [Int16] -> Encoding #
ToJSON Int32
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Int32 -> Value # toEncoding :: Int32 -> Encoding # toJSONList :: [Int32] -> Value # toEncodingList :: [Int32] -> Encoding #
ToJSON Int64
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Int64 -> Value # toEncoding :: Int64 -> Encoding # toJSONList :: [Int64] -> Value # toEncodingList :: [Int64] -> Encoding #
ToJSON Integer
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Integer -> Value # toEncoding :: Integer -> Encoding # toJSONList :: [Integer] -> Value # toEncodingList :: [Integer] -> Encoding #
ToJSON Natural
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Natural -> Value # toEncoding :: Natural -> Encoding # toJSONList :: [Natural] -> Value # toEncodingList :: [Natural] -> Encoding #
ToJSON Ordering
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Ordering -> Value # toEncoding :: Ordering -> Encoding # toJSONList :: [Ordering] -> Value # toEncodingList :: [Ordering] -> Encoding #
ToJSON Word
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Word -> Value # toEncoding :: Word -> Encoding # toJSONList :: [Word] -> Value # toEncodingList :: [Word] -> Encoding #
ToJSON Word8
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Word8 -> Value # toEncoding :: Word8 -> Encoding # toJSONList :: [Word8] -> Value # toEncodingList :: [Word8] -> Encoding #
ToJSON Word16
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Word16 -> Value # toEncoding :: Word16 -> Encoding # toJSONList :: [Word16] -> Value # toEncodingList :: [Word16] -> Encoding #
ToJSON Word32
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Word32 -> Value # toEncoding :: Word32 -> Encoding # toJSONList :: [Word32] -> Value # toEncodingList :: [Word32] -> Encoding #
ToJSON Word64
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Word64 -> Value # toEncoding :: Word64 -> Encoding # toJSONList :: [Word64] -> Value # toEncodingList :: [Word64] -> Encoding #
ToJSON ()
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: () -> Value # toEncoding :: () -> Encoding # toJSONList :: [()] -> Value # toEncodingList :: [()] -> Encoding #
ToJSON Scientific
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Scientific -> Value # toEncoding :: Scientific -> Encoding # toJSONList :: [Scientific] -> Value # toEncodingList :: [Scientific] -> Encoding #
ToJSON Text
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Text -> Value # toEncoding :: Text -> Encoding # toJSONList :: [Text] -> Value # toEncodingList :: [Text] -> Encoding #
ToJSON UTCTime
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: UTCTime -> Value # toEncoding :: UTCTime -> Encoding # toJSONList :: [UTCTime] -> Value # toEncodingList :: [UTCTime] -> Encoding #
ToJSON Value
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Value -> Value # toEncoding :: Value -> Encoding # toJSONList :: [Value] -> Value # toEncodingList :: [Value] -> Encoding #
ToJSON DotNetTime
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: DotNetTime -> Value # toEncoding :: DotNetTime -> Encoding # toJSONList :: [DotNetTime] -> Value # toEncodingList :: [DotNetTime] -> Encoding #
ToJSON Text
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Text -> Value # toEncoding :: Text -> Encoding # toJSONList :: [Text] -> Value # toEncodingList :: [Text] -> Encoding #
ToJSON Number
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Number -> Value # toEncoding :: Number -> Encoding # toJSONList :: [Number] -> Value # toEncodingList :: [Number] -> Encoding #
ToJSON Void
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Void -> Value # toEncoding :: Void -> Encoding # toJSONList :: [Void] -> Value # toEncodingList :: [Void] -> Encoding #
ToJSON Version
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Version -> Value # toEncoding :: Version -> Encoding # toJSONList :: [Version] -> Value # toEncodingList :: [Version] -> Encoding #
ToJSON CTime
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: CTime -> Value # toEncoding :: CTime -> Encoding # toJSONList :: [CTime] -> Value # toEncodingList :: [CTime] -> Encoding #
ToJSON IntSet
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: IntSet -> Value # toEncoding :: IntSet -> Encoding # toJSONList :: [IntSet] -> Value # toEncodingList :: [IntSet] -> Encoding #
ToJSON ZonedTime
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: ZonedTime -> Value # toEncoding :: ZonedTime -> Encoding # toJSONList :: [ZonedTime] -> Value # toEncodingList :: [ZonedTime] -> Encoding #
ToJSON LocalTime
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: LocalTime -> Value # toEncoding :: LocalTime -> Encoding # toJSONList :: [LocalTime] -> Value # toEncodingList :: [LocalTime] -> Encoding #
ToJSON TimeOfDay
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: TimeOfDay -> Value # toEncoding :: TimeOfDay -> Encoding # toJSONList :: [TimeOfDay] -> Value # toEncodingList :: [TimeOfDay] -> Encoding #
ToJSON NominalDiffTime
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: NominalDiffTime -> Value # toEncoding :: NominalDiffTime -> Encoding # toJSONList :: [NominalDiffTime] -> Value # toEncodingList :: [NominalDiffTime] -> Encoding #
ToJSON DiffTime
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: DiffTime -> Value # toEncoding :: DiffTime -> Encoding # toJSONList :: [DiffTime] -> Value # toEncodingList :: [DiffTime] -> Encoding #
ToJSON Day
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Day -> Value # toEncoding :: Day -> Encoding # toJSONList :: [Day] -> Value # toEncodingList :: [Day] -> Encoding #
ToJSON UUID
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: UUID -> Value # toEncoding :: UUID -> Encoding # toJSONList :: [UUID] -> Value # toEncodingList :: [UUID] -> Encoding #
ToJSON a => ToJSON [a]
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: [a] -> Value # toEncoding :: [a] -> Encoding # toJSONList :: [[a]] -> Value # toEncodingList :: [[a]] -> Encoding #
ToJSON a => ToJSON (Maybe a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Maybe a -> Value # toEncoding :: Maybe a -> Encoding # toJSONList :: [Maybe a] -> Value # toEncodingList :: [Maybe a] -> Encoding #
(ToJSON a, Integral a) => ToJSON (Ratio a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Ratio a -> Value # toEncoding :: Ratio a -> Encoding # toJSONList :: [Ratio a] -> Value # toEncodingList :: [Ratio a] -> Encoding #
HasResolution a => ToJSON (Fixed a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Fixed a -> Value # toEncoding :: Fixed a -> Encoding # toJSONList :: [Fixed a] -> Value # toEncodingList :: [Fixed a] -> Encoding #
ToJSON a => ToJSON (Min a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Min a -> Value # toEncoding :: Min a -> Encoding # toJSONList :: [Min a] -> Value # toEncodingList :: [Min a] -> Encoding #
ToJSON a => ToJSON (Max a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Max a -> Value # toEncoding :: Max a -> Encoding # toJSONList :: [Max a] -> Value # toEncodingList :: [Max a] -> Encoding #
ToJSON a => ToJSON (First a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: First a -> Value # toEncoding :: First a -> Encoding # toJSONList :: [First a] -> Value # toEncodingList :: [First a] -> Encoding #
ToJSON a => ToJSON (Last a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Last a -> Value # toEncoding :: Last a -> Encoding # toJSONList :: [Last a] -> Value # toEncodingList :: [Last a] -> Encoding #
ToJSON a => ToJSON (WrappedMonoid a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: WrappedMonoid a -> Value # toEncoding :: WrappedMonoid a -> Encoding # toJSONList :: [WrappedMonoid a] -> Value # toEncodingList :: [WrappedMonoid a] -> Encoding #
ToJSON a => ToJSON (Option a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Option a -> Value # toEncoding :: Option a -> Encoding # toJSONList :: [Option a] -> Value # toEncodingList :: [Option a] -> Encoding #
ToJSON a => ToJSON (Identity a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Identity a -> Value # toEncoding :: Identity a -> Encoding # toJSONList :: [Identity a] -> Value # toEncodingList :: [Identity a] -> Encoding #
ToJSON a => ToJSON (First a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: First a -> Value # toEncoding :: First a -> Encoding # toJSONList :: [First a] -> Value # toEncodingList :: [First a] -> Encoding #
ToJSON a => ToJSON (Last a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Last a -> Value # toEncoding :: Last a -> Encoding # toJSONList :: [Last a] -> Value # toEncodingList :: [Last a] -> Encoding #
ToJSON a => ToJSON (Dual a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Dual a -> Value # toEncoding :: Dual a -> Encoding # toJSONList :: [Dual a] -> Value # toEncodingList :: [Dual a] -> Encoding #
ToJSON a => ToJSON (NonEmpty a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: NonEmpty a -> Value # toEncoding :: NonEmpty a -> Encoding # toJSONList :: [NonEmpty a] -> Value # toEncodingList :: [NonEmpty a] -> Encoding #
ToJSON a => ToJSON (IntMap a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: IntMap a -> Value # toEncoding :: IntMap a -> Encoding # toJSONList :: [IntMap a] -> Value # toEncodingList :: [IntMap a] -> Encoding #
ToJSON v => ToJSON (Tree v)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Tree v -> Value # toEncoding :: Tree v -> Encoding # toJSONList :: [Tree v] -> Value # toEncodingList :: [Tree v] -> Encoding #
ToJSON a => ToJSON (Seq a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Seq a -> Value # toEncoding :: Seq a -> Encoding # toJSONList :: [Seq a] -> Value # toEncodingList :: [Seq a] -> Encoding #
ToJSON a => ToJSON (Set a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Set a -> Value # toEncoding :: Set a -> Encoding # toJSONList :: [Set a] -> Value # toEncodingList :: [Set a] -> Encoding #
ToJSON a => ToJSON (DList a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: DList a -> Value # toEncoding :: DList a -> Encoding # toJSONList :: [DList a] -> Value # toEncodingList :: [DList a] -> Encoding #
(Prim a, ToJSON a) => ToJSON (Vector a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Vector a -> Value # toEncoding :: Vector a -> Encoding # toJSONList :: [Vector a] -> Value # toEncodingList :: [Vector a] -> Encoding #
(Storable a, ToJSON a) => ToJSON (Vector a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Vector a -> Value # toEncoding :: Vector a -> Encoding # toJSONList :: [Vector a] -> Value # toEncodingList :: [Vector a] -> Encoding #
(Vector Vector a, ToJSON a) => ToJSON (Vector a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Vector a -> Value # toEncoding :: Vector a -> Encoding # toJSONList :: [Vector a] -> Value # toEncodingList :: [Vector a] -> Encoding #
ToJSON a => ToJSON (HashSet a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: HashSet a -> Value # toEncoding :: HashSet a -> Encoding # toJSONList :: [HashSet a] -> Value # toEncodingList :: [HashSet a] -> Encoding #
ToJSON a => ToJSON (Vector a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Vector a -> Value # toEncoding :: Vector a -> Encoding # toJSONList :: [Vector a] -> Value # toEncodingList :: [Vector a] -> Encoding #
(PrimUnlifted a, ToJSON a) => ToJSON (UnliftedArray a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: UnliftedArray a -> Value # toEncoding :: UnliftedArray a -> Encoding # toJSONList :: [UnliftedArray a] -> Value # toEncodingList :: [UnliftedArray a] -> Encoding #
(Prim a, ToJSON a) => ToJSON (PrimArray a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: PrimArray a -> Value # toEncoding :: PrimArray a -> Encoding # toJSONList :: [PrimArray a] -> Value # toEncodingList :: [PrimArray a] -> Encoding #
ToJSON a => ToJSON (SmallArray a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: SmallArray a -> Value # toEncoding :: SmallArray a -> Encoding # toJSONList :: [SmallArray a] -> Value # toEncodingList :: [SmallArray a] -> Encoding #
ToJSON a => ToJSON (Array a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Array a -> Value # toEncoding :: Array a -> Encoding # toJSONList :: [Array a] -> Value # toEncodingList :: [Array a] -> Encoding #
(ToJSON a, ToJSON b) => ToJSON (Either a b)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Either a b -> Value # toEncoding :: Either a b -> Encoding # toJSONList :: [Either a b] -> Value # toEncodingList :: [Either a b] -> Encoding #
(ToJSON a, ToJSON b) => ToJSON (a, b)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: (a, b) -> Value # toEncoding :: (a, b) -> Encoding # toJSONList :: [(a, b)] -> Value # toEncodingList :: [(a, b)] -> Encoding #
(ToJSON v, ToJSONKey k) => ToJSON (HashMap k v)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: HashMap k v -> Value # toEncoding :: HashMap k v -> Encoding # toJSONList :: [HashMap k v] -> Value # toEncodingList :: [HashMap k v] -> Encoding #
(ToJSON v, ToJSONKey k) => ToJSON (Map k v)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Map k v -> Value # toEncoding :: Map k v -> Encoding # toJSONList :: [Map k v] -> Value # toEncodingList :: [Map k v] -> Encoding #
ToJSON (Proxy a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Proxy a -> Value # toEncoding :: Proxy a -> Encoding # toJSONList :: [Proxy a] -> Value # toEncodingList :: [Proxy a] -> Encoding #
(ToJSON a, ToJSON b, ToJSON c) => ToJSON (a, b, c)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: (a, b, c) -> Value # toEncoding :: (a, b, c) -> Encoding # toJSONList :: [(a, b, c)] -> Value # toEncodingList :: [(a, b, c)] -> Encoding #
ToJSON a => ToJSON (Const a b)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Const a b -> Value # toEncoding :: Const a b -> Encoding # toJSONList :: [Const a b] -> Value # toEncodingList :: [Const a b] -> Encoding #
ToJSON b => ToJSON (Tagged a b)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Tagged a b -> Value # toEncoding :: Tagged a b -> Encoding # toJSONList :: [Tagged a b] -> Value # toEncodingList :: [Tagged a b] -> Encoding #
(ToJSON a, ToJSON b, ToJSON c, ToJSON d) => ToJSON (a, b, c, d)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: (a, b, c, d) -> Value # toEncoding :: (a, b, c, d) -> Encoding # toJSONList :: [(a, b, c, d)] -> Value # toEncodingList :: [(a, b, c, d)] -> Encoding #
(ToJSON1 f, ToJSON1 g, ToJSON a) => ToJSON (Product f g a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Product f g a -> Value # toEncoding :: Product f g a -> Encoding # toJSONList :: [Product f g a] -> Value # toEncodingList :: [Product f g a] -> Encoding #
(ToJSON1 f, ToJSON1 g, ToJSON a) => ToJSON (Sum f g a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Sum f g a -> Value # toEncoding :: Sum f g a -> Encoding # toJSONList :: [Sum f g a] -> Value # toEncodingList :: [Sum f g a] -> Encoding #
(ToJSON a, ToJSON b, ToJSON c, ToJSON d, ToJSON e) => ToJSON (a, b, c, d, e)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: (a, b, c, d, e) -> Value # toEncoding :: (a, b, c, d, e) -> Encoding # toJSONList :: [(a, b, c, d, e)] -> Value # toEncodingList :: [(a, b, c, d, e)] -> Encoding #
(ToJSON1 f, ToJSON1 g, ToJSON a) => ToJSON (Compose f g a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Compose f g a -> Value # toEncoding :: Compose f g a -> Encoding # toJSONList :: [Compose f g a] -> Value # toEncodingList :: [Compose f g a] -> Encoding #
(ToJSON a, ToJSON b, ToJSON c, ToJSON d, ToJSON e, ToJSON f) => ToJSON (a, b, c, d, e, f)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: (a, b, c, d, e, f) -> Value # toEncoding :: (a, b, c, d, e, f) -> Encoding # toJSONList :: [(a, b, c, d, e, f)] -> Value # toEncodingList :: [(a, b, c, d, e, f)] -> Encoding #
(ToJSON a, ToJSON b, ToJSON c, ToJSON d, ToJSON e, ToJSON f, ToJSON g) => ToJSON (a, b, c, d, e, f, g)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: (a, b, c, d, e, f, g) -> Value # toEncoding :: (a, b, c, d, e, f, g) -> Encoding # toJSONList :: [(a, b, c, d, e, f, g)] -> Value # toEncodingList :: [(a, b, c, d, e, f, g)] -> Encoding #
(ToJSON a, ToJSON b, ToJSON c, ToJSON d, ToJSON e, ToJSON f, ToJSON g, ToJSON h) => ToJSON (a, b, c, d, e, f, g, h)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: (a, b, c, d, e, f, g, h) -> Value # toEncoding :: (a, b, c, d, e, f, g, h) -> Encoding # toJSONList :: [(a, b, c, d, e, f, g, h)] -> Value # toEncodingList :: [(a, b, c, d, e, f, g, h)] -> Encoding #
(ToJSON a, ToJSON b, ToJSON c, ToJSON d, ToJSON e, ToJSON f, ToJSON g, ToJSON h, ToJSON i) => ToJSON (a, b, c, d, e, f, g, h, i)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: (a, b, c, d, e, f, g, h, i) -> Value # toEncoding :: (a, b, c, d, e, f, g, h, i) -> Encoding # toJSONList :: [(a, b, c, d, e, f, g, h, i)] -> Value # toEncodingList :: [(a, b, c, d, e, f, g, h, i)] -> Encoding #
(ToJSON a, ToJSON b, ToJSON c, ToJSON d, ToJSON e, ToJSON f, ToJSON g, ToJSON h, ToJSON i, ToJSON j) => ToJSON (a, b, c, d, e, f, g, h, i, j)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: (a, b, c, d, e, f, g, h, i, j) -> Value # toEncoding :: (a, b, c, d, e, f, g, h, i, j) -> Encoding # toJSONList :: [(a, b, c, d, e, f, g, h, i, j)] -> Value # toEncodingList :: [(a, b, c, d, e, f, g, h, i, j)] -> Encoding #
(ToJSON a, ToJSON b, ToJSON c, ToJSON d, ToJSON e, ToJSON f, ToJSON g, ToJSON h, ToJSON i, ToJSON j, ToJSON k) => ToJSON (a, b, c, d, e, f, g, h, i, j, k)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: (a, b, c, d, e, f, g, h, i, j, k) -> Value # toEncoding :: (a, b, c, d, e, f, g, h, i, j, k) -> Encoding # toJSONList :: [(a, b, c, d, e, f, g, h, i, j, k)] -> Value # toEncodingList :: [(a, b, c, d, e, f, g, h, i, j, k)] -> Encoding #
(ToJSON a, ToJSON b, ToJSON c, ToJSON d, ToJSON e, ToJSON f, ToJSON g, ToJSON h, ToJSON i, ToJSON j, ToJSON k, ToJSON l) => ToJSON (a, b, c, d, e, f, g, h, i, j, k, l)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: (a, b, c, d, e, f, g, h, i, j, k, l) -> Value # toEncoding :: (a, b, c, d, e, f, g, h, i, j, k, l) -> Encoding # toJSONList :: [(a, b, c, d, e, f, g, h, i, j, k, l)] -> Value # toEncodingList :: [(a, b, c, d, e, f, g, h, i, j, k, l)] -> Encoding #
(ToJSON a, ToJSON b, ToJSON c, ToJSON d, ToJSON e, ToJSON f, ToJSON g, ToJSON h, ToJSON i, ToJSON j, ToJSON k, ToJSON l, ToJSON m) => ToJSON (a, b, c, d, e, f, g, h, i, j, k, l, m)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Value # toEncoding :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Encoding # toJSONList :: [(a, b, c, d, e, f, g, h, i, j, k, l, m)] -> Value # toEncodingList :: [(a, b, c, d, e, f, g, h, i, j, k, l, m)] -> Encoding #
(ToJSON a, ToJSON b, ToJSON c, ToJSON d, ToJSON e, ToJSON f, ToJSON g, ToJSON h, ToJSON i, ToJSON j, ToJSON k, ToJSON l, ToJSON m, ToJSON n) => ToJSON (a, b, c, d, e, f, g, h, i, j, k, l, m, n)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Value # toEncoding :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Encoding # toJSONList :: [(a, b, c, d, e, f, g, h, i, j, k, l, m, n)] -> Value # toEncodingList :: [(a, b, c, d, e, f, g, h, i, j, k, l, m, n)] -> Encoding #
(ToJSON a, ToJSON b, ToJSON c, ToJSON d, ToJSON e, ToJSON f, ToJSON g, ToJSON h, ToJSON i, ToJSON j, ToJSON k, ToJSON l, ToJSON m, ToJSON n, ToJSON o) => ToJSON (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Value # toEncoding :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Encoding # toJSONList :: [(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)] -> Value # toEncodingList :: [(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)] -> Encoding #

class FromJSON a #

A type that can be converted from JSON, with the possibility of failure.

In many cases, you can get the compiler to generate parsing code for you (see below). To begin, let's cover writing an instance by hand.

There are various reasons a conversion could fail. For example, an Object could be missing a required key, an Array could be of the wrong size, or a value could be of an incompatible type.

The basic ways to signal a failed conversion are as follows:

empty and mzero work, but are terse and uninformative;
fail yields a custom error message;
typeMismatch produces an informative message for cases when the value encountered is not of the expected type.

An example type and instance using typeMismatch:

-- Allow ourselves to write Text literals.
{-# LANGUAGE OverloadedStrings #-}

data Coord = Coord { x :: Double, y :: Double }

instance FromJSON Coord where
    parseJSON (Object v) = Coord
        <$> v .: "x"
        <*> v .: "y"

    -- We do not expect a non-Object value here.
    -- We could use mzero to fail, but typeMismatch
    -- gives a much more informative error message.
    parseJSON invalid    = typeMismatch "Coord" invalid

For this common case of only being concerned with a single type of JSON value, the functions withObject, withNumber, etc. are provided. Their use is to be preferred when possible, since they are more terse. Using withObject, we can rewrite the above instance (assuming the same language extension and data type) as:

instance FromJSON Coord where
    parseJSON = withObject "Coord" $ \v -> Coord
        <$> v .: "x"
        <*> v .: "y"

Instead of manually writing your FromJSON instance, there are two options to do it automatically:

Data.Aeson.TH provides Template Haskell functions which will derive an instance at compile time. The generated instance is optimized for your type so it will probably be more efficient than the following option.
The compiler can provide a default generic implementation for parseJSON.

To use the second, simply add a deriving Generic clause to your datatype and declare a FromJSON instance for your datatype without giving a definition for parseJSON.

For example, the previous example can be simplified to just:

{-# LANGUAGE DeriveGeneric #-}

import GHC.Generics

data Coord = Coord { x :: Double, y :: Double } deriving Generic

instance FromJSON Coord

The default implementation will be equivalent to parseJSON = genericParseJSON defaultOptions; If you need different options, you can customize the generic decoding by defining:

customOptions = defaultOptions
                { fieldLabelModifier = map toUpper
                }

instance FromJSON Coord where
    parseJSON = genericParseJSON customOptions

Instances

FromJSON Bool
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Bool # parseJSONList :: Value -> Parser [Bool] #
FromJSON Char
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Char # parseJSONList :: Value -> Parser [Char] #
FromJSON Double
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Double # parseJSONList :: Value -> Parser [Double] #
FromJSON Float
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Float # parseJSONList :: Value -> Parser [Float] #
FromJSON Int
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Int # parseJSONList :: Value -> Parser [Int] #
FromJSON Int8
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Int8 # parseJSONList :: Value -> Parser [Int8] #
FromJSON Int16
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Int16 # parseJSONList :: Value -> Parser [Int16] #
FromJSON Int32
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Int32 # parseJSONList :: Value -> Parser [Int32] #
FromJSON Int64
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Int64 # parseJSONList :: Value -> Parser [Int64] #
FromJSON Integer	This instance includes a bounds check to prevent maliciously large inputs to fill up the memory of the target system. You can newtype `Scientific` and provide your own instance using `withScientific` if you want to allow larger inputs.
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Integer # parseJSONList :: Value -> Parser [Integer] #
FromJSON Natural
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Natural # parseJSONList :: Value -> Parser [Natural] #
FromJSON Ordering
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Ordering # parseJSONList :: Value -> Parser [Ordering] #
FromJSON Word
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Word # parseJSONList :: Value -> Parser [Word] #
FromJSON Word8
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Word8 # parseJSONList :: Value -> Parser [Word8] #
FromJSON Word16
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Word16 # parseJSONList :: Value -> Parser [Word16] #
FromJSON Word32
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Word32 # parseJSONList :: Value -> Parser [Word32] #
FromJSON Word64
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Word64 # parseJSONList :: Value -> Parser [Word64] #
FromJSON ()
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser () # parseJSONList :: Value -> Parser [()] #
FromJSON Scientific
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Scientific # parseJSONList :: Value -> Parser [Scientific] #
FromJSON Text
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Text # parseJSONList :: Value -> Parser [Text] #
FromJSON UTCTime
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser UTCTime # parseJSONList :: Value -> Parser [UTCTime] #
FromJSON Value
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Value # parseJSONList :: Value -> Parser [Value] #
FromJSON DotNetTime
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser DotNetTime # parseJSONList :: Value -> Parser [DotNetTime] #
FromJSON Text
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Text # parseJSONList :: Value -> Parser [Text] #
FromJSON Void
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Void # parseJSONList :: Value -> Parser [Void] #
FromJSON Version
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Version # parseJSONList :: Value -> Parser [Version] #
FromJSON CTime
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser CTime # parseJSONList :: Value -> Parser [CTime] #
FromJSON IntSet
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser IntSet # parseJSONList :: Value -> Parser [IntSet] #
FromJSON ZonedTime	Supported string formats: `YYYY-MM-DD HH:MM Z` `YYYY-MM-DD HH:MM:SS Z` `YYYY-MM-DD HH:MM:SS.SSS Z` The first space may instead be a `T`, and the second space is optional. The `Z` represents UTC. The `Z` may be replaced with a time zone offset of the form `+0000` or `-08:00`, where the first two digits are hours, the `:` is optional and the second two digits (also optional) are minutes.
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser ZonedTime # parseJSONList :: Value -> Parser [ZonedTime] #
FromJSON LocalTime
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser LocalTime # parseJSONList :: Value -> Parser [LocalTime] #
FromJSON TimeOfDay
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser TimeOfDay # parseJSONList :: Value -> Parser [TimeOfDay] #
FromJSON NominalDiffTime	This instance includes a bounds check to prevent maliciously large inputs to fill up the memory of the target system. You can newtype `Scientific` and provide your own instance using `withScientific` if you want to allow larger inputs.
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser NominalDiffTime # parseJSONList :: Value -> Parser [NominalDiffTime] #
FromJSON DiffTime	This instance includes a bounds check to prevent maliciously large inputs to fill up the memory of the target system. You can newtype `Scientific` and provide your own instance using `withScientific` if you want to allow larger inputs.
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser DiffTime # parseJSONList :: Value -> Parser [DiffTime] #
FromJSON Day
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Day # parseJSONList :: Value -> Parser [Day] #
FromJSON UUID
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser UUID # parseJSONList :: Value -> Parser [UUID] #
FromJSON a => FromJSON [a]
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser [a] # parseJSONList :: Value -> Parser [[a]] #
FromJSON a => FromJSON (Maybe a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Maybe a) # parseJSONList :: Value -> Parser [Maybe a] #
(FromJSON a, Integral a) => FromJSON (Ratio a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Ratio a) # parseJSONList :: Value -> Parser [Ratio a] #
HasResolution a => FromJSON (Fixed a)	This instance includes a bounds check to prevent maliciously large inputs to fill up the memory of the target system. You can newtype `Scientific` and provide your own instance using `withScientific` if you want to allow larger inputs.
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Fixed a) # parseJSONList :: Value -> Parser [Fixed a] #
FromJSON a => FromJSON (Min a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Min a) # parseJSONList :: Value -> Parser [Min a] #
FromJSON a => FromJSON (Max a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Max a) # parseJSONList :: Value -> Parser [Max a] #
FromJSON a => FromJSON (First a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (First a) # parseJSONList :: Value -> Parser [First a] #
FromJSON a => FromJSON (Last a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Last a) # parseJSONList :: Value -> Parser [Last a] #
FromJSON a => FromJSON (WrappedMonoid a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (WrappedMonoid a) # parseJSONList :: Value -> Parser [WrappedMonoid a] #
FromJSON a => FromJSON (Option a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Option a) # parseJSONList :: Value -> Parser [Option a] #
FromJSON a => FromJSON (Identity a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Identity a) # parseJSONList :: Value -> Parser [Identity a] #
FromJSON a => FromJSON (First a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (First a) # parseJSONList :: Value -> Parser [First a] #
FromJSON a => FromJSON (Last a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Last a) # parseJSONList :: Value -> Parser [Last a] #
FromJSON a => FromJSON (Dual a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Dual a) # parseJSONList :: Value -> Parser [Dual a] #
FromJSON a => FromJSON (NonEmpty a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (NonEmpty a) # parseJSONList :: Value -> Parser [NonEmpty a] #
FromJSON a => FromJSON (IntMap a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (IntMap a) # parseJSONList :: Value -> Parser [IntMap a] #
FromJSON v => FromJSON (Tree v)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Tree v) # parseJSONList :: Value -> Parser [Tree v] #
FromJSON a => FromJSON (Seq a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Seq a) # parseJSONList :: Value -> Parser [Seq a] #
(Ord a, FromJSON a) => FromJSON (Set a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Set a) # parseJSONList :: Value -> Parser [Set a] #
FromJSON a => FromJSON (DList a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (DList a) # parseJSONList :: Value -> Parser [DList a] #
(Prim a, FromJSON a) => FromJSON (Vector a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Vector a) # parseJSONList :: Value -> Parser [Vector a] #
(Storable a, FromJSON a) => FromJSON (Vector a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Vector a) # parseJSONList :: Value -> Parser [Vector a] #
(Vector Vector a, FromJSON a) => FromJSON (Vector a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Vector a) # parseJSONList :: Value -> Parser [Vector a] #
(Eq a, Hashable a, FromJSON a) => FromJSON (HashSet a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (HashSet a) # parseJSONList :: Value -> Parser [HashSet a] #
FromJSON a => FromJSON (Vector a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Vector a) # parseJSONList :: Value -> Parser [Vector a] #
(PrimUnlifted a, FromJSON a) => FromJSON (UnliftedArray a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (UnliftedArray a) # parseJSONList :: Value -> Parser [UnliftedArray a] #
(Prim a, FromJSON a) => FromJSON (PrimArray a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (PrimArray a) # parseJSONList :: Value -> Parser [PrimArray a] #
FromJSON a => FromJSON (SmallArray a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (SmallArray a) # parseJSONList :: Value -> Parser [SmallArray a] #
FromJSON a => FromJSON (Array a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Array a) # parseJSONList :: Value -> Parser [Array a] #
(FromJSON a, FromJSON b) => FromJSON (Either a b)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Either a b) # parseJSONList :: Value -> Parser [Either a b] #
(FromJSON a, FromJSON b) => FromJSON (a, b)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (a, b) # parseJSONList :: Value -> Parser [(a, b)] #
(FromJSON v, FromJSONKey k, Eq k, Hashable k) => FromJSON (HashMap k v)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (HashMap k v) # parseJSONList :: Value -> Parser [HashMap k v] #
(FromJSONKey k, Ord k, FromJSON v) => FromJSON (Map k v)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Map k v) # parseJSONList :: Value -> Parser [Map k v] #
FromJSON (Proxy a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Proxy a) # parseJSONList :: Value -> Parser [Proxy a] #
(FromJSON a, FromJSON b, FromJSON c) => FromJSON (a, b, c)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (a, b, c) # parseJSONList :: Value -> Parser [(a, b, c)] #
FromJSON a => FromJSON (Const a b)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Const a b) # parseJSONList :: Value -> Parser [Const a b] #
FromJSON b => FromJSON (Tagged a b)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Tagged a b) # parseJSONList :: Value -> Parser [Tagged a b] #
(FromJSON a, FromJSON b, FromJSON c, FromJSON d) => FromJSON (a, b, c, d)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (a, b, c, d) # parseJSONList :: Value -> Parser [(a, b, c, d)] #
(FromJSON1 f, FromJSON1 g, FromJSON a) => FromJSON (Product f g a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Product f g a) # parseJSONList :: Value -> Parser [Product f g a] #
(FromJSON1 f, FromJSON1 g, FromJSON a) => FromJSON (Sum f g a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Sum f g a) # parseJSONList :: Value -> Parser [Sum f g a] #
(FromJSON a, FromJSON b, FromJSON c, FromJSON d, FromJSON e) => FromJSON (a, b, c, d, e)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (a, b, c, d, e) # parseJSONList :: Value -> Parser [(a, b, c, d, e)] #
(FromJSON1 f, FromJSON1 g, FromJSON a) => FromJSON (Compose f g a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Compose f g a) # parseJSONList :: Value -> Parser [Compose f g a] #
(FromJSON a, FromJSON b, FromJSON c, FromJSON d, FromJSON e, FromJSON f) => FromJSON (a, b, c, d, e, f)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (a, b, c, d, e, f) # parseJSONList :: Value -> Parser [(a, b, c, d, e, f)] #
(FromJSON a, FromJSON b, FromJSON c, FromJSON d, FromJSON e, FromJSON f, FromJSON g) => FromJSON (a, b, c, d, e, f, g)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (a, b, c, d, e, f, g) # parseJSONList :: Value -> Parser [(a, b, c, d, e, f, g)] #
(FromJSON a, FromJSON b, FromJSON c, FromJSON d, FromJSON e, FromJSON f, FromJSON g, FromJSON h) => FromJSON (a, b, c, d, e, f, g, h)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (a, b, c, d, e, f, g, h) # parseJSONList :: Value -> Parser [(a, b, c, d, e, f, g, h)] #
(FromJSON a, FromJSON b, FromJSON c, FromJSON d, FromJSON e, FromJSON f, FromJSON g, FromJSON h, FromJSON i) => FromJSON (a, b, c, d, e, f, g, h, i)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (a, b, c, d, e, f, g, h, i) # parseJSONList :: Value -> Parser [(a, b, c, d, e, f, g, h, i)] #
(FromJSON a, FromJSON b, FromJSON c, FromJSON d, FromJSON e, FromJSON f, FromJSON g, FromJSON h, FromJSON i, FromJSON j) => FromJSON (a, b, c, d, e, f, g, h, i, j)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (a, b, c, d, e, f, g, h, i, j) # parseJSONList :: Value -> Parser [(a, b, c, d, e, f, g, h, i, j)] #
(FromJSON a, FromJSON b, FromJSON c, FromJSON d, FromJSON e, FromJSON f, FromJSON g, FromJSON h, FromJSON i, FromJSON j, FromJSON k) => FromJSON (a, b, c, d, e, f, g, h, i, j, k)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (a, b, c, d, e, f, g, h, i, j, k) # parseJSONList :: Value -> Parser [(a, b, c, d, e, f, g, h, i, j, k)] #
(FromJSON a, FromJSON b, FromJSON c, FromJSON d, FromJSON e, FromJSON f, FromJSON g, FromJSON h, FromJSON i, FromJSON j, FromJSON k, FromJSON l) => FromJSON (a, b, c, d, e, f, g, h, i, j, k, l)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (a, b, c, d, e, f, g, h, i, j, k, l) # parseJSONList :: Value -> Parser [(a, b, c, d, e, f, g, h, i, j, k, l)] #
(FromJSON a, FromJSON b, FromJSON c, FromJSON d, FromJSON e, FromJSON f, FromJSON g, FromJSON h, FromJSON i, FromJSON j, FromJSON k, FromJSON l, FromJSON m) => FromJSON (a, b, c, d, e, f, g, h, i, j, k, l, m)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (a, b, c, d, e, f, g, h, i, j, k, l, m) # parseJSONList :: Value -> Parser [(a, b, c, d, e, f, g, h, i, j, k, l, m)] #
(FromJSON a, FromJSON b, FromJSON c, FromJSON d, FromJSON e, FromJSON f, FromJSON g, FromJSON h, FromJSON i, FromJSON j, FromJSON k, FromJSON l, FromJSON m, FromJSON n) => FromJSON (a, b, c, d, e, f, g, h, i, j, k, l, m, n)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (a, b, c, d, e, f, g, h, i, j, k, l, m, n) # parseJSONList :: Value -> Parser [(a, b, c, d, e, f, g, h, i, j, k, l, m, n)] #
(FromJSON a, FromJSON b, FromJSON c, FromJSON d, FromJSON e, FromJSON f, FromJSON g, FromJSON h, FromJSON i, FromJSON j, FromJSON k, FromJSON l, FromJSON m, FromJSON n, FromJSON o) => FromJSON (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) # parseJSONList :: Value -> Parser [(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)] #

defaultTaggedObject :: SumEncoding #

Default TaggedObject SumEncoding options:

defaultTaggedObject = TaggedObject
                      { tagFieldName      = "tag"
                      , contentsFieldName = "contents"
                      }

defaultOptions :: Options #

Default encoding Options:

Options
{ fieldLabelModifier      = id
, constructorTagModifier  = id
, allNullaryToStringTag   = True
, omitNothingFields       = False
, sumEncoding             = defaultTaggedObject
, unwrapUnaryRecords      = False
, tagSingleConstructors   = False
}

data Options #

Options that specify how to encode/decode your datatype to/from JSON.

Options can be set using record syntax on defaultOptions with the fields below.

Instances

Show Options
Instance details Defined in Data.Aeson.Types.Internal Methods showsPrec :: Int -> Options -> ShowS # show :: Options -> String # showList :: [Options] -> ShowS #

data SumEncoding #

Specifies how to encode constructors of a sum datatype.

Constructors

TaggedObject	A constructor will be encoded to an object with a field `tagFieldName` which specifies the constructor tag (modified by the `constructorTagModifier`). If the constructor is a record the encoded record fields will be unpacked into this object. So make sure that your record doesn't have a field with the same label as the `tagFieldName`. Otherwise the tag gets overwritten by the encoded value of that field! If the constructor is not a record the encoded constructor contents will be stored under the `contentsFieldName` field.
Fields tagFieldName :: String contentsFieldName :: String
UntaggedValue	Constructor names won't be encoded. Instead only the contents of the constructor will be encoded as if the type had a single constructor. JSON encodings have to be disjoint for decoding to work properly. When decoding, constructors are tried in the order of definition. If some encodings overlap, the first one defined will succeed. Note: Nullary constructors are encoded as strings (using `constructorTagModifier`). Having a nullary constructor alongside a single field constructor that encodes to a string leads to ambiguity. Note: Only the last error is kept when decoding, so in the case of malformed JSON, only an error for the last constructor will be reported.
ObjectWithSingleField	A constructor will be encoded to an object with a single field named after the constructor tag (modified by the `constructorTagModifier`) which maps to the encoded contents of the constructor.
TwoElemArray	A constructor will be encoded to a 2-element array where the first element is the tag of the constructor (modified by the `constructorTagModifier`) and the second element the encoded contents of the constructor.

Instances

Eq SumEncoding
Instance details Defined in Data.Aeson.Types.Internal Methods (==) :: SumEncoding -> SumEncoding -> Bool # (/=) :: SumEncoding -> SumEncoding -> Bool #
Show SumEncoding
Instance details Defined in Data.Aeson.Types.Internal Methods showsPrec :: Int -> SumEncoding -> ShowS # show :: SumEncoding -> String # showList :: [SumEncoding] -> ShowS #

data Handle #

Haskell defines operations to read and write characters from and to files, represented by values of type Handle. Each value of this type is a handle: a record used by the Haskell run-time system to manage I/O with file system objects. A handle has at least the following properties:

whether it manages input or output or both;
whether it is open, closed or semi-closed;
whether the object is seekable;
whether buffering is disabled, or enabled on a line or block basis;
a buffer (whose length may be zero).

Most handles will also have a current I/O position indicating where the next input or output operation will occur. A handle is readable if it manages only input or both input and output; likewise, it is writable if it manages only output or both input and output. A handle is open when first allocated. Once it is closed it can no longer be used for either input or output, though an implementation cannot re-use its storage while references remain to it. Handles are in the Show and Eq classes. The string produced by showing a handle is system dependent; it should include enough information to identify the handle for debugging. A handle is equal according to == only to itself; no attempt is made to compare the internal state of different handles for equality.

Instances

Eq Handle	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Handle.Types Methods (==) :: Handle -> Handle -> Bool # (/=) :: Handle -> Handle -> Bool #
Show Handle	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Handle.Types Methods showsPrec :: Int -> Handle -> ShowS # show :: Handle -> String # showList :: [Handle] -> ShowS #

data ST s a #

The strict state-transformer monad. A computation of type ST s a transforms an internal state indexed by s, and returns a value of type a. The s parameter is either

an uninstantiated type variable (inside invocations of runST), or
RealWorld (inside invocations of stToIO).

It serves to keep the internal states of different invocations of runST separate from each other and from invocations of stToIO.

The >>= and >> operations are strict in the state (though not in values stored in the state). For example,

runST (writeSTRef _|_ v >>= f) = _|_

Instances

Monad (ST s)	Since: base-2.1
Instance details Defined in GHC.ST Methods (>>=) :: ST s a -> (a -> ST s b) -> ST s b # (>>) :: ST s a -> ST s b -> ST s b # return :: a -> ST s a # fail :: String -> ST s a #
Functor (ST s)	Since: base-2.1
Instance details Defined in GHC.ST Methods fmap :: (a -> b) -> ST s a -> ST s b # (<$) :: a -> ST s b -> ST s a #
MonadFix (ST s)	Since: base-2.1
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> ST s a) -> ST s a #
MonadFail (ST s)	Since: base-4.11.0.0
Instance details Defined in GHC.ST Methods fail :: String -> ST s a #
Applicative (ST s)	Since: base-4.4.0.0
Instance details Defined in GHC.ST Methods pure :: a -> ST s a # (<>) :: ST s (a -> b) -> ST s a -> ST s b # liftA2 :: (a -> b -> c) -> ST s a -> ST s b -> ST s c # (>) :: ST s a -> ST s b -> ST s b # (<*) :: ST s a -> ST s b -> ST s a #
PrimMonad (ST s)
Instance details Defined in Control.Monad.Primitive Associated Types type PrimState (ST s) :: Type # Methods primitive :: (State# (PrimState (ST s)) -> (#State# (PrimState (ST s)), a#)) -> ST s a #
PrimBase (ST s)
Instance details Defined in Control.Monad.Primitive Methods internal :: ST s a -> State# (PrimState (ST s)) -> (#State# (PrimState (ST s)), a#) #
MonadBaseControl (ST s) (ST s)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM (ST s) a :: Type # Methods liftBaseWith :: (RunInBase (ST s) (ST s) -> ST s a) -> ST s a # restoreM :: StM (ST s) a -> ST s a #
Show (ST s a)	Since: base-2.1
Instance details Defined in GHC.ST Methods showsPrec :: Int -> ST s a -> ShowS # show :: ST s a -> String # showList :: [ST s a] -> ShowS #
Semigroup a => Semigroup (ST s a)	Since: base-4.11.0.0
Instance details Defined in GHC.ST Methods (<>) :: ST s a -> ST s a -> ST s a # sconcat :: NonEmpty (ST s a) -> ST s a # stimes :: Integral b => b -> ST s a -> ST s a #
Monoid a => Monoid (ST s a)	Since: base-4.11.0.0
Instance details Defined in GHC.ST Methods mempty :: ST s a # mappend :: ST s a -> ST s a -> ST s a # mconcat :: [ST s a] -> ST s a #
type PrimState (ST s)
Instance details Defined in Control.Monad.Primitive type PrimState (ST s) = s
type StM (ST s) a
Instance details Defined in Control.Monad.Trans.Control type StM (ST s) a = a

forkOnWithUnmask :: Int -> ((forall a. IO a -> IO a) -> IO ()) -> IO ThreadId #

Like forkIOWithUnmask, but the child thread is pinned to the given CPU, as with forkOn.

Since: base-4.4.0.0

forkIOWithUnmask :: ((forall a. IO a -> IO a) -> IO ()) -> IO ThreadId #

Like forkIO, but the child thread is passed a function that can be used to unmask asynchronous exceptions. This function is typically used in the following way

 ... mask_ $ forkIOWithUnmask $ \unmask ->
                catch (unmask ...) handler

so that the exception handler in the child thread is established with asynchronous exceptions masked, meanwhile the main body of the child thread is executed in the unmasked state.

Note that the unmask function passed to the child thread should only be used in that thread; the behaviour is undefined if it is invoked in a different thread.

Since: base-4.4.0.0

forkOn :: Int -> IO () -> IO ThreadId #

Like forkIO, but lets you specify on which capability the thread should run. Unlike a forkIO thread, a thread created by forkOn will stay on the same capability for its entire lifetime (forkIO threads can migrate between capabilities according to the scheduling policy). forkOn is useful for overriding the scheduling policy when you know in advance how best to distribute the threads.

The Int argument specifies a capability number (see getNumCapabilities). Typically capabilities correspond to physical processors, but the exact behaviour is implementation-dependent. The value passed to forkOn is interpreted modulo the total number of capabilities as returned by getNumCapabilities.

GHC note: the number of capabilities is specified by the +RTS -N option when the program is started. Capabilities can be fixed to actual processor cores with +RTS -qa if the underlying operating system supports that, although in practice this is usually unnecessary (and may actually degrade performance in some cases - experimentation is recommended).

Since: base-4.4.0.0

forkOS :: IO () -> IO ThreadId #

Like forkIO, this sparks off a new thread to run the IO computation passed as the first argument, and returns the ThreadId of the newly created thread.

However, forkOS creates a bound thread, which is necessary if you need to call foreign (non-Haskell) libraries that make use of thread-local state, such as OpenGL (see Control.Concurrent).

Using forkOS instead of forkIO makes no difference at all to the scheduling behaviour of the Haskell runtime system. It is a common misconception that you need to use forkOS instead of forkIO to avoid blocking all the Haskell threads when making a foreign call; this isn't the case. To allow foreign calls to be made without blocking all the Haskell threads (with GHC), it is only necessary to use the -threaded option when linking your program, and to make sure the foreign import is not marked unsafe.

data ThreadId #

A ThreadId is an abstract type representing a handle to a thread. ThreadId is an instance of Eq, Ord and Show, where the Ord instance implements an arbitrary total ordering over ThreadIds. The Show instance lets you convert an arbitrary-valued ThreadId to string form; showing a ThreadId value is occasionally useful when debugging or diagnosing the behaviour of a concurrent program.

Note: in GHC, if you have a ThreadId, you essentially have a pointer to the thread itself. This means the thread itself can't be garbage collected until you drop the ThreadId. This misfeature will hopefully be corrected at a later date.

Instances

Eq ThreadId	Since: base-4.2.0.0
Instance details Defined in GHC.Conc.Sync Methods (==) :: ThreadId -> ThreadId -> Bool # (/=) :: ThreadId -> ThreadId -> Bool #
Ord ThreadId	Since: base-4.2.0.0
Instance details Defined in GHC.Conc.Sync Methods compare :: ThreadId -> ThreadId -> Ordering # (<) :: ThreadId -> ThreadId -> Bool # (<=) :: ThreadId -> ThreadId -> Bool # (>) :: ThreadId -> ThreadId -> Bool # (>=) :: ThreadId -> ThreadId -> Bool # max :: ThreadId -> ThreadId -> ThreadId # min :: ThreadId -> ThreadId -> ThreadId #
Show ThreadId	Since: base-4.2.0.0
Instance details Defined in GHC.Conc.Sync Methods showsPrec :: Int -> ThreadId -> ShowS # show :: ThreadId -> String # showList :: [ThreadId] -> ShowS #
Hashable ThreadId
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> ThreadId -> Int # hash :: ThreadId -> Int #
NFData ThreadId	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: ThreadId -> () #
PrimUnlifted ThreadId	Since: primitive-0.6.4.0
Instance details Defined in Data.Primitive.UnliftedArray Methods toArrayArray# :: ThreadId -> ArrayArray# # fromArrayArray# :: ArrayArray# -> ThreadId #

concurrently :: IO a -> IO b -> IO (a, b) #

Run two IO actions concurrently, and return both results. If either action throws an exception at any time, then the other action is cancelled, and the exception is re-thrown by concurrently.

concurrently left right =
  withAsync left $ \a ->
  withAsync right $ \b ->
  waitBoth a b

race_ :: IO a -> IO b -> IO () #

Like race, but the result is ignored.

race :: IO a -> IO b -> IO (Either a b) #

Run two IO actions concurrently, and return the first to finish. The loser of the race is cancelled.

race left right =
  withAsync left $ \a ->
  withAsync right $ \b ->
  waitEither a b

link2 :: Async a -> Async b -> IO () #

Link two Asyncs together, such that if either raises an exception, the same exception is re-thrown in the other Async, wrapped in ExceptionInLinkedThread.

link2 ignores AsyncCancelled exceptions, so that it's possible to cancel either thread without cancelling the other. If you want different behaviour, use link2Only.

link :: Async a -> IO () #

Link the given Async to the current thread, such that if the Async raises an exception, that exception will be re-thrown in the current thread, wrapped in ExceptionInLinkedThread.

link ignores AsyncCancelled exceptions thrown in the other thread, so that it's safe to cancel a thread you're linked to. If you want different behaviour, use linkOnly.

waitBoth :: Async a -> Async b -> IO (a, b) #

Waits for both Asyncs to finish, but if either of them throws an exception before they have both finished, then the exception is re-thrown by waitBoth.

waitEitherCancel :: Async a -> Async b -> IO (Either a b) #

Like waitEither, but also cancels both Asyncs before returning.

waitEither_ :: Async a -> Async b -> IO () #

Like waitEither, but the result is ignored.

waitEither :: Async a -> Async b -> IO (Either a b) #

Wait for the first of two Asyncs to finish. If the Async that finished first raised an exception, then the exception is re-thrown by waitEither.

waitEitherCatchCancel :: Async a -> Async b -> IO (Either (Either SomeException a) (Either SomeException b)) #

Like waitEitherCatch, but also cancels both Asyncs before returning.

waitEitherCatch :: Async a -> Async b -> IO (Either (Either SomeException a) (Either SomeException b)) #

Wait for the first of two Asyncs to finish.

waitAnyCancel :: [Async a] -> IO (Async a, a) #

Like waitAny, but also cancels the other asynchronous operations as soon as one has completed.

waitAny :: [Async a] -> IO (Async a, a) #

Wait for any of the supplied Asyncs to complete. If the first to complete throws an exception, then that exception is re-thrown by waitAny.

If multiple Asyncs complete or have completed, then the value returned corresponds to the first completed Async in the list.

waitAnyCatchCancel :: [Async a] -> IO (Async a, Either SomeException a) #

Like waitAnyCatch, but also cancels the other asynchronous operations as soon as one has completed.

waitAnyCatch :: [Async a] -> IO (Async a, Either SomeException a) #

Wait for any of the supplied asynchronous operations to complete. The value returned is a pair of the Async that completed, and the result that would be returned by wait on that Async.

If multiple Asyncs complete or have completed, then the value returned corresponds to the first completed Async in the list.

cancelWith :: Exception e => Async a -> e -> IO () #

Cancel an asynchronous action by throwing the supplied exception to it.

cancelWith a x = throwTo (asyncThreadId a) x

The notes about the synchronous nature of cancel also apply to cancelWith.

cancel :: Async a -> IO () #

Cancel an asynchronous action by throwing the AsyncCancelled exception to it, and waiting for the Async thread to quit. Has no effect if the Async has already completed.

cancel a = throwTo (asyncThreadId a) AsyncCancelled <* waitCatch a

Note that cancel will not terminate until the thread the Async refers to has terminated. This means that cancel will block for as long said thread blocks when receiving an asynchronous exception.

For example, it could block if:

It's executing a foreign call, and thus cannot receive the asynchronous exception;
It's executing some cleanup handler after having received the exception, and the handler is blocking.

poll :: Async a -> IO (Maybe (Either SomeException a)) #

Check whether an Async has completed yet. If it has not completed yet, then the result is Nothing, otherwise the result is Just e where e is Left x if the Async raised an exception x, or Right a if it returned a value a.

poll = atomically . pollSTM

waitCatch :: Async a -> IO (Either SomeException a) #

Wait for an asynchronous action to complete, and return either Left e if the action raised an exception e, or Right a if it returned a value a.

waitCatch = atomically . waitCatchSTM

withAsyncOn :: Int -> IO a -> (Async a -> IO b) -> IO b #

Like withAsync but uses forkOn internally.

withAsyncBound :: IO a -> (Async a -> IO b) -> IO b #

Like withAsync but uses forkOS internally.

withAsync :: IO a -> (Async a -> IO b) -> IO b #

Spawn an asynchronous action in a separate thread, and pass its Async handle to the supplied function. When the function returns or throws an exception, uninterruptibleCancel is called on the Async.

withAsync action inner = mask $ \restore -> do
  a <- async (restore action)
  restore inner `finally` uninterruptibleCancel a

This is a useful variant of async that ensures an Async is never left running unintentionally.

Note: a reference to the child thread is kept alive until the call to withAsync returns, so nesting many withAsync calls requires linear memory.

asyncOn :: Int -> IO a -> IO (Async a) #

Like async but using forkOn internally.

asyncBound :: IO a -> IO (Async a) #

Like async but using forkOS internally.

async :: IO a -> IO (Async a) #

Spawn an asynchronous action in a separate thread.

data Async a #

An asynchronous action spawned by async or withAsync. Asynchronous actions are executed in a separate thread, and operations are provided for waiting for asynchronous actions to complete and obtaining their results (see e.g. wait).

Instances

Functor Async
Instance details Defined in Control.Concurrent.Async Methods fmap :: (a -> b) -> Async a -> Async b # (<$) :: a -> Async b -> Async a #
Eq (Async a)
Instance details Defined in Control.Concurrent.Async Methods (==) :: Async a -> Async a -> Bool # (/=) :: Async a -> Async a -> Bool #
Ord (Async a)
Instance details Defined in Control.Concurrent.Async Methods compare :: Async a -> Async a -> Ordering # (<) :: Async a -> Async a -> Bool # (<=) :: Async a -> Async a -> Bool # (>) :: Async a -> Async a -> Bool # (>=) :: Async a -> Async a -> Bool # max :: Async a -> Async a -> Async a # min :: Async a -> Async a -> Async a #
Hashable (Async a)
Instance details Defined in Control.Concurrent.Async Methods hashWithSalt :: Int -> Async a -> Int # hash :: Async a -> Int #

newtype Concurrently a #

A value of type Concurrently a is an IO operation that can be composed with other Concurrently values, using the Applicative and Alternative instances.

Calling runConcurrently on a value of type Concurrently a will execute the IO operations it contains concurrently, before delivering the result of type a.

For example

(page1, page2, page3)
    <- runConcurrently $ (,,)
    <$> Concurrently (getURL "url1")
    <*> Concurrently (getURL "url2")
    <*> Concurrently (getURL "url3")

Constructors

Concurrently
Fields runConcurrently :: IO a

Instances

Functor Concurrently
Instance details Defined in Control.Concurrent.Async Methods fmap :: (a -> b) -> Concurrently a -> Concurrently b # (<$) :: a -> Concurrently b -> Concurrently a #
Applicative Concurrently
Instance details Defined in Control.Concurrent.Async Methods pure :: a -> Concurrently a # (<>) :: Concurrently (a -> b) -> Concurrently a -> Concurrently b # liftA2 :: (a -> b -> c) -> Concurrently a -> Concurrently b -> Concurrently c # (>) :: Concurrently a -> Concurrently b -> Concurrently b # (<*) :: Concurrently a -> Concurrently b -> Concurrently a #
Alternative Concurrently
Instance details Defined in Control.Concurrent.Async Methods empty :: Concurrently a # (<\|>) :: Concurrently a -> Concurrently a -> Concurrently a # some :: Concurrently a -> Concurrently [a] # many :: Concurrently a -> Concurrently [a] #
Semigroup a => Semigroup (Concurrently a)	Only defined by `async` for `base >= 4.9` Since: async-2.1.0
Instance details Defined in Control.Concurrent.Async Methods (<>) :: Concurrently a -> Concurrently a -> Concurrently a # sconcat :: NonEmpty (Concurrently a) -> Concurrently a # stimes :: Integral b => b -> Concurrently a -> Concurrently a #
(Semigroup a, Monoid a) => Monoid (Concurrently a)	Since: async-2.1.0
Instance details Defined in Control.Concurrent.Async Methods mempty :: Concurrently a # mappend :: Concurrently a -> Concurrently a -> Concurrently a # mconcat :: [Concurrently a] -> Concurrently a #

isSpace :: Char -> Bool #

Returns True for any Unicode space character, and the control characters \t, \n, \r, \f, \v.

isAlpha :: Char -> Bool #

Selects alphabetic Unicode characters (lower-case, upper-case and title-case letters, plus letters of caseless scripts and modifiers letters). This function is equivalent to isLetter.

isDigit :: Char -> Bool #

Selects ASCII digits, i.e. '0'..'9'.

class Applicative f => Alternative (f :: Type -> Type) where #

A monoid on applicative functors.

If defined, some and many should be the least solutions of the equations:

```
some v = (:) <$> v <*> many v
```
```
many v = some v <|> pure []
```

Minimal complete definition

empty, (<|>)

Methods

empty :: f a #

The identity of <|>

(<|>) :: f a -> f a -> f a infixl 3 #

An associative binary operation

some :: f a -> f [a] #

One or more.

many :: f a -> f [a] #

Zero or more.

Instances

Alternative []	Since: base-2.1
Instance details Defined in GHC.Base Methods empty :: [a] # (<\|>) :: [a] -> [a] -> [a] # some :: [a] -> [[a]] # many :: [a] -> [[a]] #
Alternative Maybe	Since: base-2.1
Instance details Defined in GHC.Base Methods empty :: Maybe a # (<\|>) :: Maybe a -> Maybe a -> Maybe a # some :: Maybe a -> Maybe [a] # many :: Maybe a -> Maybe [a] #
Alternative IO	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods empty :: IO a # (<\|>) :: IO a -> IO a -> IO a # some :: IO a -> IO [a] # many :: IO a -> IO [a] #
Alternative IResult
Instance details Defined in Data.Aeson.Types.Internal Methods empty :: IResult a # (<\|>) :: IResult a -> IResult a -> IResult a # some :: IResult a -> IResult [a] # many :: IResult a -> IResult [a] #
Alternative Result
Instance details Defined in Data.Aeson.Types.Internal Methods empty :: Result a # (<\|>) :: Result a -> Result a -> Result a # some :: Result a -> Result [a] # many :: Result a -> Result [a] #
Alternative Parser
Instance details Defined in Data.Aeson.Types.Internal Methods empty :: Parser a # (<\|>) :: Parser a -> Parser a -> Parser a # some :: Parser a -> Parser [a] # many :: Parser a -> Parser [a] #
Alternative Concurrently
Instance details Defined in Control.Concurrent.Async Methods empty :: Concurrently a # (<\|>) :: Concurrently a -> Concurrently a -> Concurrently a # some :: Concurrently a -> Concurrently [a] # many :: Concurrently a -> Concurrently [a] #
Alternative Option	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods empty :: Option a # (<\|>) :: Option a -> Option a -> Option a # some :: Option a -> Option [a] # many :: Option a -> Option [a] #
Alternative ZipList	Since: base-4.11.0.0
Instance details Defined in Control.Applicative Methods empty :: ZipList a # (<\|>) :: ZipList a -> ZipList a -> ZipList a # some :: ZipList a -> ZipList [a] # many :: ZipList a -> ZipList [a] #
Alternative STM	Since: base-4.8.0.0
Instance details Defined in GHC.Conc.Sync Methods empty :: STM a # (<\|>) :: STM a -> STM a -> STM a # some :: STM a -> STM [a] # many :: STM a -> STM [a] #
Alternative ReadP	Since: base-4.6.0.0
Instance details Defined in Text.ParserCombinators.ReadP Methods empty :: ReadP a # (<\|>) :: ReadP a -> ReadP a -> ReadP a # some :: ReadP a -> ReadP [a] # many :: ReadP a -> ReadP [a] #
Alternative Seq	Since: containers-0.5.4
Instance details Defined in Data.Sequence.Internal Methods empty :: Seq a # (<\|>) :: Seq a -> Seq a -> Seq a # some :: Seq a -> Seq [a] # many :: Seq a -> Seq [a] #
Alternative DList
Instance details Defined in Data.DList Methods empty :: DList a # (<\|>) :: DList a -> DList a -> DList a # some :: DList a -> DList [a] # many :: DList a -> DList [a] #
Alternative Vector
Instance details Defined in Data.Vector Methods empty :: Vector a # (<\|>) :: Vector a -> Vector a -> Vector a # some :: Vector a -> Vector [a] # many :: Vector a -> Vector [a] #
Alternative SmallArray
Instance details Defined in Data.Primitive.SmallArray Methods empty :: SmallArray a # (<\|>) :: SmallArray a -> SmallArray a -> SmallArray a # some :: SmallArray a -> SmallArray [a] # many :: SmallArray a -> SmallArray [a] #
Alternative Array
Instance details Defined in Data.Primitive.Array Methods empty :: Array a # (<\|>) :: Array a -> Array a -> Array a # some :: Array a -> Array [a] # many :: Array a -> Array [a] #
Alternative P	Since: base-4.5.0.0
Instance details Defined in Text.ParserCombinators.ReadP Methods empty :: P a # (<\|>) :: P a -> P a -> P a # some :: P a -> P [a] # many :: P a -> P [a] #
Alternative (U1 :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods empty :: U1 a # (<\|>) :: U1 a -> U1 a -> U1 a # some :: U1 a -> U1 [a] # many :: U1 a -> U1 [a] #
Alternative (Parser i)
Instance details Defined in Data.Attoparsec.Internal.Types Methods empty :: Parser i a # (<\|>) :: Parser i a -> Parser i a -> Parser i a # some :: Parser i a -> Parser i [a] # many :: Parser i a -> Parser i [a] #
MonadPlus m => Alternative (WrappedMonad m)	Since: base-2.1
Instance details Defined in Control.Applicative Methods empty :: WrappedMonad m a # (<\|>) :: WrappedMonad m a -> WrappedMonad m a -> WrappedMonad m a # some :: WrappedMonad m a -> WrappedMonad m [a] # many :: WrappedMonad m a -> WrappedMonad m [a] #
Alternative (Proxy :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Proxy Methods empty :: Proxy a # (<\|>) :: Proxy a -> Proxy a -> Proxy a # some :: Proxy a -> Proxy [a] # many :: Proxy a -> Proxy [a] #
Alternative v => Alternative (Free v)	This violates the Alternative laws, handle with care.
Instance details Defined in Control.Monad.Free Methods empty :: Free v a # (<\|>) :: Free v a -> Free v a -> Free v a # some :: Free v a -> Free v [a] # many :: Free v a -> Free v [a] #
Alternative f => Alternative (Yoneda f)
Instance details Defined in Data.Functor.Yoneda Methods empty :: Yoneda f a # (<\|>) :: Yoneda f a -> Yoneda f a -> Yoneda f a # some :: Yoneda f a -> Yoneda f [a] # many :: Yoneda f a -> Yoneda f [a] #
Alternative (ReifiedFold s)
Instance details Defined in Control.Lens.Reified Methods empty :: ReifiedFold s a # (<\|>) :: ReifiedFold s a -> ReifiedFold s a -> ReifiedFold s a # some :: ReifiedFold s a -> ReifiedFold s [a] # many :: ReifiedFold s a -> ReifiedFold s [a] #
Alternative f => Alternative (Rec1 f)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods empty :: Rec1 f a # (<\|>) :: Rec1 f a -> Rec1 f a -> Rec1 f a # some :: Rec1 f a -> Rec1 f [a] # many :: Rec1 f a -> Rec1 f [a] #
MonadPlus m => Alternative (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods empty :: RandT g m a # (<\|>) :: RandT g m a -> RandT g m a -> RandT g m a # some :: RandT g m a -> RandT g m [a] # many :: RandT g m a -> RandT g m [a] #
(ArrowZero a, ArrowPlus a) => Alternative (WrappedArrow a b)	Since: base-2.1
Instance details Defined in Control.Applicative Methods empty :: WrappedArrow a b a0 # (<\|>) :: WrappedArrow a b a0 -> WrappedArrow a b a0 -> WrappedArrow a b a0 # some :: WrappedArrow a b a0 -> WrappedArrow a b [a0] # many :: WrappedArrow a b a0 -> WrappedArrow a b [a0] #
Alternative f => Alternative (Ap f)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid Methods empty :: Ap f a # (<\|>) :: Ap f a -> Ap f a -> Ap f a # some :: Ap f a -> Ap f [a] # many :: Ap f a -> Ap f [a] #
Alternative f => Alternative (Alt f)	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods empty :: Alt f a # (<\|>) :: Alt f a -> Alt f a -> Alt f a # some :: Alt f a -> Alt f [a] # many :: Alt f a -> Alt f [a] #
(Functor m, Monad m, Monoid e) => Alternative (ExceptT e m)
Instance details Defined in Control.Monad.Trans.Except Methods empty :: ExceptT e m a # (<\|>) :: ExceptT e m a -> ExceptT e m a -> ExceptT e m a # some :: ExceptT e m a -> ExceptT e m [a] # many :: ExceptT e m a -> ExceptT e m [a] #
(Functor f, MonadPlus m) => Alternative (FreeT f m)
Instance details Defined in Control.Monad.Trans.Free Methods empty :: FreeT f m a # (<\|>) :: FreeT f m a -> FreeT f m a -> FreeT f m a # some :: FreeT f m a -> FreeT f m [a] # many :: FreeT f m a -> FreeT f m [a] #
(Functor m, Monad m, Error e) => Alternative (ErrorT e m)
Instance details Defined in Control.Monad.Trans.Error Methods empty :: ErrorT e m a # (<\|>) :: ErrorT e m a -> ErrorT e m a -> ErrorT e m a # some :: ErrorT e m a -> ErrorT e m [a] # many :: ErrorT e m a -> ErrorT e m [a] #
(Functor m, MonadPlus m) => Alternative (StateT s m)
Instance details Defined in Control.Monad.Trans.State.Strict Methods empty :: StateT s m a # (<\|>) :: StateT s m a -> StateT s m a -> StateT s m a # some :: StateT s m a -> StateT s m [a] # many :: StateT s m a -> StateT s m [a] #
(Functor m, MonadPlus m) => Alternative (StateT s m)
Instance details Defined in Control.Monad.Trans.State.Lazy Methods empty :: StateT s m a # (<\|>) :: StateT s m a -> StateT s m a -> StateT s m a # some :: StateT s m a -> StateT s m [a] # many :: StateT s m a -> StateT s m [a] #
(Profunctor p, ArrowPlus p) => Alternative (Tambara p a)
Instance details Defined in Data.Profunctor.Strong Methods empty :: Tambara p a a0 # (<\|>) :: Tambara p a a0 -> Tambara p a a0 -> Tambara p a a0 # some :: Tambara p a a0 -> Tambara p a [a0] # many :: Tambara p a a0 -> Tambara p a [a0] #
(Alternative f, Alternative g) => Alternative (f :*: g)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods empty :: (f :: g) a # (<\|>) :: (f :: g) a -> (f :: g) a -> (f :: g) a # some :: (f :: g) a -> (f :: g) [a] # many :: (f :: g) a -> (f :: g) [a] #
Alternative m => Alternative (ReaderT r m)
Instance details Defined in Control.Monad.Trans.Reader Methods empty :: ReaderT r m a # (<\|>) :: ReaderT r m a -> ReaderT r m a -> ReaderT r m a # some :: ReaderT r m a -> ReaderT r m [a] # many :: ReaderT r m a -> ReaderT r m [a] #
Alternative f => Alternative (M1 i c f)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods empty :: M1 i c f a # (<\|>) :: M1 i c f a -> M1 i c f a -> M1 i c f a # some :: M1 i c f a -> M1 i c f [a] # many :: M1 i c f a -> M1 i c f [a] #
(Alternative f, Applicative g) => Alternative (f :.: g)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods empty :: (f :.: g) a # (<\|>) :: (f :.: g) a -> (f :.: g) a -> (f :.: g) a # some :: (f :.: g) a -> (f :.: g) [a] # many :: (f :.: g) a -> (f :.: g) [a] #

integralEnumFromThenTo :: Integral a => a -> a -> a -> [a] #

integralEnumFromTo :: Integral a => a -> a -> [a] #

integralEnumFromThen :: (Integral a, Bounded a) => a -> a -> [a] #

integralEnumFrom :: (Integral a, Bounded a) => a -> [a] #

gcdWord' :: Word -> Word -> Word #

gcdInt' :: Int -> Int -> Int #

(^^%^^) :: Integral a => Rational -> a -> Rational #

(^%^) :: Integral a => Rational -> a -> Rational #

numericEnumFromThenTo :: (Ord a, Fractional a) => a -> a -> a -> [a] #

numericEnumFromTo :: (Ord a, Fractional a) => a -> a -> [a] #

numericEnumFromThen :: Fractional a => a -> a -> [a] #

numericEnumFrom :: Fractional a => a -> [a] #

notANumber :: Rational #

infinity :: Rational #

ratioPrec1 :: Int #

ratioPrec :: Int #

underflowError :: a #

overflowError :: a #

ratioZeroDenominatorError :: a #

divZeroError :: a #

reduce :: Integral a => a -> a -> Ratio a #

reduce is a subsidiary function used only in this module. It normalises a ratio by dividing both numerator and denominator by their greatest common divisor.

boundedEnumFromThen :: (Enum a, Bounded a) => a -> a -> [a] #

boundedEnumFrom :: (Enum a, Bounded a) => a -> [a] #

maxInt :: Int #

minInt :: Int #

phase :: RealFloat a => Complex a -> a #

The phase of a complex number, in the range (-pi, pi]. If the magnitude is zero, then so is the phase.

magnitude :: RealFloat a => Complex a -> a #

The nonnegative magnitude of a complex number.

polar :: RealFloat a => Complex a -> (a, a) #

The function polar takes a complex number and returns a (magnitude, phase) pair in canonical form: the magnitude is nonnegative, and the phase in the range (-pi, pi]; if the magnitude is zero, then so is the phase.

cis :: Floating a => a -> Complex a #

cis t is a complex value with magnitude 1 and phase t (modulo 2*pi).

mkPolar :: Floating a => a -> a -> Complex a #

Form a complex number from polar components of magnitude and phase.

conjugate :: Num a => Complex a -> Complex a #

The conjugate of a complex number.

imagPart :: Complex a -> a #

Extracts the imaginary part of a complex number.

realPart :: Complex a -> a #

Extracts the real part of a complex number.

data Complex a #

Complex numbers are an algebraic type.

For a complex number z, abs z is a number with the magnitude of z, but oriented in the positive real direction, whereas signum z has the phase of z, but unit magnitude.

The Foldable and Traversable instances traverse the real part first.

Note that Complex's instances inherit the deficiencies from the type parameter's. For example, Complex Float's Ord instance has similar problems to Float's.

Constructors

!a :+ !a infix 6

forms a complex number from its real and imaginary rectangular components.

Instances

Monad Complex	Since: base-4.9.0.0
Instance details Defined in Data.Complex Methods (>>=) :: Complex a -> (a -> Complex b) -> Complex b # (>>) :: Complex a -> Complex b -> Complex b # return :: a -> Complex a # fail :: String -> Complex a #
Functor Complex	Since: base-4.9.0.0
Instance details Defined in Data.Complex Methods fmap :: (a -> b) -> Complex a -> Complex b # (<$) :: a -> Complex b -> Complex a #
Applicative Complex	Since: base-4.9.0.0
Instance details Defined in Data.Complex Methods pure :: a -> Complex a # (<>) :: Complex (a -> b) -> Complex a -> Complex b # liftA2 :: (a -> b -> c) -> Complex a -> Complex b -> Complex c # (>) :: Complex a -> Complex b -> Complex b # (<*) :: Complex a -> Complex b -> Complex a #
Foldable Complex	Since: base-4.9.0.0
Instance details Defined in Data.Complex Methods fold :: Monoid m => Complex m -> m # foldMap :: Monoid m => (a -> m) -> Complex a -> m # foldr :: (a -> b -> b) -> b -> Complex a -> b # foldr' :: (a -> b -> b) -> b -> Complex a -> b # foldl :: (b -> a -> b) -> b -> Complex a -> b # foldl' :: (b -> a -> b) -> b -> Complex a -> b # foldr1 :: (a -> a -> a) -> Complex a -> a # foldl1 :: (a -> a -> a) -> Complex a -> a # toList :: Complex a -> [a] # null :: Complex a -> Bool # length :: Complex a -> Int # elem :: Eq a => a -> Complex a -> Bool # maximum :: Ord a => Complex a -> a # minimum :: Ord a => Complex a -> a # sum :: Num a => Complex a -> a # product :: Num a => Complex a -> a #
Traversable Complex	Since: base-4.9.0.0
Instance details Defined in Data.Complex Methods traverse :: Applicative f => (a -> f b) -> Complex a -> f (Complex b) # sequenceA :: Applicative f => Complex (f a) -> f (Complex a) # mapM :: Monad m => (a -> m b) -> Complex a -> m (Complex b) # sequence :: Monad m => Complex (m a) -> m (Complex a) #
Representable Complex
Instance details Defined in Data.Functor.Rep Associated Types type Rep Complex :: Type # Methods tabulate :: (Rep Complex -> a) -> Complex a # index :: Complex a -> Rep Complex -> a #
Hashable1 Complex
Instance details Defined in Data.Hashable.Class Methods liftHashWithSalt :: (Int -> a -> Int) -> Int -> Complex a -> Int #
Unbox a => Vector Vector (Complex a)
Instance details Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) (Complex a) -> m (Vector (Complex a)) # basicUnsafeThaw :: PrimMonad m => Vector (Complex a) -> m (Mutable Vector (PrimState m) (Complex a)) # basicLength :: Vector (Complex a) -> Int # basicUnsafeSlice :: Int -> Int -> Vector (Complex a) -> Vector (Complex a) # basicUnsafeIndexM :: Monad m => Vector (Complex a) -> Int -> m (Complex a) # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) (Complex a) -> Vector (Complex a) -> m () # elemseq :: Vector (Complex a) -> Complex a -> b -> b #
Unbox a => MVector MVector (Complex a)
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s (Complex a) -> Int # basicUnsafeSlice :: Int -> Int -> MVector s (Complex a) -> MVector s (Complex a) # basicOverlaps :: MVector s (Complex a) -> MVector s (Complex a) -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) (Complex a)) # basicInitialize :: PrimMonad m => MVector (PrimState m) (Complex a) -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> Complex a -> m (MVector (PrimState m) (Complex a)) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) (Complex a) -> Int -> m (Complex a) # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) (Complex a) -> Int -> Complex a -> m () # basicClear :: PrimMonad m => MVector (PrimState m) (Complex a) -> m () # basicSet :: PrimMonad m => MVector (PrimState m) (Complex a) -> Complex a -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) (Complex a) -> MVector (PrimState m) (Complex a) -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) (Complex a) -> MVector (PrimState m) (Complex a) -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) (Complex a) -> Int -> m (MVector (PrimState m) (Complex a)) #
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 #
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 -> Complex a # atanh :: Complex a -> Complex a # log1p :: Complex a -> Complex a # expm1 :: Complex a -> Complex a # log1pexp :: Complex a -> Complex a # log1mexp :: Complex a -> Complex a #
RealFloat a => Fractional (Complex a)	Since: base-2.1
Instance details Defined in Data.Complex Methods (/) :: Complex a -> Complex a -> Complex a # recip :: Complex a -> Complex a # fromRational :: Rational -> Complex a #
Data a => Data (Complex a)	Since: base-2.1
Instance details Defined in Data.Complex Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Complex a -> c (Complex a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Complex a) # toConstr :: Complex a -> Constr # dataTypeOf :: Complex a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Complex a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Complex a)) # gmapT :: (forall b. Data b => b -> b) -> Complex a -> Complex a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Complex a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Complex a -> r # gmapQ :: (forall d. Data d => d -> u) -> Complex a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Complex a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Complex a -> m (Complex a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Complex a -> m (Complex a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Complex a -> m (Complex a) #
RealFloat a => Num (Complex a)	Since: base-2.1
Instance details Defined in Data.Complex Methods (+) :: Complex a -> Complex a -> Complex a # (-) :: Complex a -> Complex a -> Complex a # (*) :: Complex a -> Complex a -> Complex a # negate :: Complex a -> Complex a # abs :: Complex a -> Complex a # signum :: Complex a -> Complex a # fromInteger :: Integer -> Complex a #
Read a => Read (Complex a)	Since: base-2.1
Instance details Defined in Data.Complex Methods readsPrec :: Int -> ReadS (Complex a) # readList :: ReadS [Complex a] # readPrec :: ReadPrec (Complex a) # readListPrec :: ReadPrec [Complex a] #
Show a => Show (Complex a)	Since: base-2.1
Instance details Defined in Data.Complex Methods showsPrec :: Int -> Complex a -> ShowS # show :: Complex a -> String # showList :: [Complex a] -> ShowS #
Generic (Complex a)
Instance details Defined in Data.Complex Associated Types type Rep (Complex a) :: Type -> Type # Methods from :: Complex a -> Rep (Complex a) x # to :: Rep (Complex a) x -> Complex a #
Hashable a => Hashable (Complex a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Complex a -> Int # hash :: Complex a -> Int #
Storable a => Storable (Complex a)	Since: base-4.8.0.0
Instance details Defined in Data.Complex Methods sizeOf :: Complex a -> Int # alignment :: Complex a -> Int # peekElemOff :: Ptr (Complex a) -> Int -> IO (Complex a) # pokeElemOff :: Ptr (Complex a) -> Int -> Complex a -> IO () # peekByteOff :: Ptr b -> Int -> IO (Complex a) # pokeByteOff :: Ptr b -> Int -> Complex a -> IO () # peek :: Ptr (Complex a) -> IO (Complex a) # poke :: Ptr (Complex a) -> Complex a -> IO () #
NFData a => NFData (Complex a)
Instance details Defined in Control.DeepSeq Methods rnf :: Complex a -> () #
Unbox a => Unbox (Complex a)
Instance details Defined in Data.Vector.Unboxed.Base
Generic1 Complex
Instance details Defined in Data.Complex Associated Types type Rep1 Complex :: k -> Type # Methods from1 :: Complex a -> Rep1 Complex a # to1 :: Rep1 Complex a -> Complex a #
type Rep Complex
Instance details Defined in Data.Functor.Rep type Rep Complex = Bool
data MVector s (Complex a)
Instance details Defined in Data.Vector.Unboxed.Base data MVector s (Complex a) = MV_Complex (MVector s (a, a))
type Rep (Complex a)	Since: base-4.9.0.0
Instance details Defined in Data.Complex type Rep (Complex a) = D1 (MetaData "Complex" "Data.Complex" "base" False) (C1 (MetaCons ":+" (InfixI NotAssociative 6) False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness SourceStrict DecidedStrict) (Rec0 a) :*: S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness SourceStrict DecidedStrict) (Rec0 a)))
data Vector (Complex a)
Instance details Defined in Data.Vector.Unboxed.Base data Vector (Complex a) = V_Complex (Vector (a, a))
type Index (Complex a)
Instance details Defined in Control.Lens.At type Index (Complex a) = Int
type Rep1 Complex	Since: base-4.9.0.0
Instance details Defined in Data.Complex type Rep1 Complex = D1 (MetaData "Complex" "Data.Complex" "base" False) (C1 (MetaCons ":+" (InfixI NotAssociative 6) False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness SourceStrict DecidedStrict) Par1 :*: S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness SourceStrict DecidedStrict) Par1))

vacuous :: Functor f => f Void -> f a #

If Void is uninhabited then any Functor that holds only values of type Void is holding no values.

Since: base-4.8.0.0

absurd :: Void -> a #

Since Void values logically don't exist, this witnesses the logical reasoning tool of "ex falso quodlibet".

>>> let x :: Either Void Int; x = Right 5
>>> :{
case x of
    Right r -> r
    Left l  -> absurd l
:}
5

Since: base-4.8.0.0

data Void #

Uninhabited data type

Since: base-4.8.0.0

Instances

Eq Void	Since: base-4.8.0.0
Instance details Defined in Data.Void Methods (==) :: Void -> Void -> Bool # (/=) :: Void -> Void -> Bool #
Data Void	Since: base-4.8.0.0
Instance details Defined in Data.Void Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Void -> c Void # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Void # toConstr :: Void -> Constr # dataTypeOf :: Void -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Void) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Void) # gmapT :: (forall b. Data b => b -> b) -> Void -> Void # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Void -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Void -> r # gmapQ :: (forall d. Data d => d -> u) -> Void -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Void -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Void -> m Void # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Void -> m Void # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Void -> m Void #
Ord Void	Since: base-4.8.0.0
Instance details Defined in Data.Void Methods compare :: Void -> Void -> Ordering # (<) :: Void -> Void -> Bool # (<=) :: Void -> Void -> Bool # (>) :: Void -> Void -> Bool # (>=) :: Void -> Void -> Bool # max :: Void -> Void -> Void # min :: Void -> Void -> Void #
Read Void	Reading a `Void` value is always a parse error, considering `Void` as a data type with no constructors. Since: base-4.8.0.0
Instance details Defined in Data.Void Methods readsPrec :: Int -> ReadS Void # readList :: ReadS [Void] # readPrec :: ReadPrec Void # readListPrec :: ReadPrec [Void] #
Show Void	Since: base-4.8.0.0
Instance details Defined in Data.Void Methods showsPrec :: Int -> Void -> ShowS # show :: Void -> String # showList :: [Void] -> ShowS #
Ix Void	Since: base-4.8.0.0
Instance details Defined in Data.Void Methods range :: (Void, Void) -> [Void] # index :: (Void, Void) -> Void -> Int # unsafeIndex :: (Void, Void) -> Void -> Int inRange :: (Void, Void) -> Void -> Bool # rangeSize :: (Void, Void) -> Int # unsafeRangeSize :: (Void, Void) -> Int
Generic Void
Instance details Defined in Data.Void Associated Types type Rep Void :: Type -> Type # Methods from :: Void -> Rep Void x # to :: Rep Void x -> Void #
Semigroup Void	Since: base-4.9.0.0
Instance details Defined in Data.Void Methods (<>) :: Void -> Void -> Void # sconcat :: NonEmpty Void -> Void # stimes :: Integral b => b -> Void -> Void #
Hashable Void
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Void -> Int # hash :: Void -> Int #
ToJSON Void
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Void -> Value # toEncoding :: Void -> Encoding # toJSONList :: [Void] -> Value # toEncodingList :: [Void] -> Encoding #
FromJSON Void
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Void # parseJSONList :: Value -> Parser [Void] #
Exception Void	Since: base-4.8.0.0
Instance details Defined in Data.Void Methods toException :: Void -> SomeException # fromException :: SomeException -> Maybe Void # displayException :: Void -> String #
NFData Void	Defined as `rnf = absurd`. Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Void -> () #
FunctorWithIndex Void (V1 :: Type -> Type)
Instance details Defined in Control.Lens.Indexed Methods imap :: (Void -> a -> b) -> V1 a -> V1 b # imapped :: IndexedSetter Void (V1 a) (V1 b) a b #
FunctorWithIndex Void (U1 :: Type -> Type)
Instance details Defined in Control.Lens.Indexed Methods imap :: (Void -> a -> b) -> U1 a -> U1 b # imapped :: IndexedSetter Void (U1 a) (U1 b) a b #
FunctorWithIndex Void (Proxy :: Type -> Type)
Instance details Defined in Control.Lens.Indexed Methods imap :: (Void -> a -> b) -> Proxy a -> Proxy b # imapped :: IndexedSetter Void (Proxy a) (Proxy b) a b #
FoldableWithIndex Void (V1 :: Type -> Type)
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Void -> a -> m) -> V1 a -> m # ifolded :: IndexedFold Void (V1 a) a # ifoldr :: (Void -> a -> b -> b) -> b -> V1 a -> b # ifoldl :: (Void -> b -> a -> b) -> b -> V1 a -> b # ifoldr' :: (Void -> a -> b -> b) -> b -> V1 a -> b # ifoldl' :: (Void -> b -> a -> b) -> b -> V1 a -> b #
FoldableWithIndex Void (U1 :: Type -> Type)
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Void -> a -> m) -> U1 a -> m # ifolded :: IndexedFold Void (U1 a) a # ifoldr :: (Void -> a -> b -> b) -> b -> U1 a -> b # ifoldl :: (Void -> b -> a -> b) -> b -> U1 a -> b # ifoldr' :: (Void -> a -> b -> b) -> b -> U1 a -> b # ifoldl' :: (Void -> b -> a -> b) -> b -> U1 a -> b #
FoldableWithIndex Void (Proxy :: Type -> Type)
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Void -> a -> m) -> Proxy a -> m # ifolded :: IndexedFold Void (Proxy a) a # ifoldr :: (Void -> a -> b -> b) -> b -> Proxy a -> b # ifoldl :: (Void -> b -> a -> b) -> b -> Proxy a -> b # ifoldr' :: (Void -> a -> b -> b) -> b -> Proxy a -> b # ifoldl' :: (Void -> b -> a -> b) -> b -> Proxy a -> b #
TraversableWithIndex Void (V1 :: Type -> Type)
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => (Void -> a -> f b) -> V1 a -> f (V1 b) # itraversed :: IndexedTraversal Void (V1 a) (V1 b) a b #
TraversableWithIndex Void (U1 :: Type -> Type)
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => (Void -> a -> f b) -> U1 a -> f (U1 b) # itraversed :: IndexedTraversal Void (U1 a) (U1 b) a b #
TraversableWithIndex Void (Proxy :: Type -> Type)
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => (Void -> a -> f b) -> Proxy a -> f (Proxy b) # itraversed :: IndexedTraversal Void (Proxy a) (Proxy b) a b #
FunctorWithIndex Void (K1 i c :: Type -> Type)
Instance details Defined in Control.Lens.Indexed Methods imap :: (Void -> a -> b) -> K1 i c a -> K1 i c b # imapped :: IndexedSetter Void (K1 i c a) (K1 i c b) a b #
FoldableWithIndex Void (K1 i c :: Type -> Type)
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Void -> a -> m) -> K1 i c a -> m # ifolded :: IndexedFold Void (K1 i c a) a # ifoldr :: (Void -> a -> b -> b) -> b -> K1 i c a -> b # ifoldl :: (Void -> b -> a -> b) -> b -> K1 i c a -> b # ifoldr' :: (Void -> a -> b -> b) -> b -> K1 i c a -> b # ifoldl' :: (Void -> b -> a -> b) -> b -> K1 i c a -> b #
TraversableWithIndex Void (K1 i c :: Type -> Type)
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => (Void -> a -> f b) -> K1 i c a -> f (K1 i c b) # itraversed :: IndexedTraversal Void (K1 i c a) (K1 i c b) a b #
type Rep Void	Since: base-4.8.0.0
Instance details Defined in Data.Void type Rep Void = D1 (MetaData "Void" "Data.Void" "base" False) (V1 :: Type -> Type)

option :: b -> (a -> b) -> Option a -> b #

Fold an Option case-wise, just like maybe.

mtimesDefault :: (Integral b, Monoid a) => b -> a -> a #

Repeat a value n times.

mtimesDefault n a = a <> a <> ... <> a  -- using <> (n-1) times

Implemented using stimes and mempty.

This is a suitable definition for an mtimes member of Monoid.

diff :: Semigroup m => m -> Endo m #

This lets you use a difference list of a Semigroup as a Monoid.

cycle1 :: Semigroup m => m -> m #

A generalization of cycle to an arbitrary Semigroup. May fail to terminate for some values in some semigroups.

data WrappedMonoid m #

Provide a Semigroup for an arbitrary Monoid.

NOTE: This is not needed anymore since Semigroup became a superclass of Monoid in base-4.11 and this newtype be deprecated at some point in the future.

Instances

ToJSON1 WrappedMonoid
Instance details Defined in Data.Aeson.Types.ToJSON Methods liftToJSON :: (a -> Value) -> ([a] -> Value) -> WrappedMonoid a -> Value # liftToJSONList :: (a -> Value) -> ([a] -> Value) -> [WrappedMonoid a] -> Value # liftToEncoding :: (a -> Encoding) -> ([a] -> Encoding) -> WrappedMonoid a -> Encoding # liftToEncodingList :: (a -> Encoding) -> ([a] -> Encoding) -> [WrappedMonoid a] -> Encoding #
FromJSON1 WrappedMonoid
Instance details Defined in Data.Aeson.Types.FromJSON Methods liftParseJSON :: (Value -> Parser a) -> (Value -> Parser [a]) -> Value -> Parser (WrappedMonoid a) # liftParseJSONList :: (Value -> Parser a) -> (Value -> Parser [a]) -> Value -> Parser [WrappedMonoid a] #
NFData1 WrappedMonoid	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf :: (a -> ()) -> WrappedMonoid 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 #
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] #
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 #
Data m => Data (WrappedMonoid m)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> WrappedMonoid m -> c (WrappedMonoid m) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (WrappedMonoid m) # toConstr :: WrappedMonoid m -> Constr # dataTypeOf :: WrappedMonoid m -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (WrappedMonoid m)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (WrappedMonoid m)) # gmapT :: (forall b. Data b => b -> b) -> WrappedMonoid m -> WrappedMonoid m # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> WrappedMonoid m -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> WrappedMonoid m -> r # gmapQ :: (forall d. Data d => d -> u) -> WrappedMonoid m -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> WrappedMonoid m -> u # gmapM :: Monad m0 => (forall d. Data d => d -> m0 d) -> WrappedMonoid m -> m0 (WrappedMonoid m) # gmapMp :: MonadPlus m0 => (forall d. Data d => d -> m0 d) -> WrappedMonoid m -> m0 (WrappedMonoid m) # gmapMo :: MonadPlus m0 => (forall d. Data d => d -> m0 d) -> WrappedMonoid m -> m0 (WrappedMonoid m) #
Ord m => Ord (WrappedMonoid m)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods compare :: WrappedMonoid m -> WrappedMonoid m -> Ordering # (<) :: WrappedMonoid m -> WrappedMonoid m -> Bool # (<=) :: WrappedMonoid m -> WrappedMonoid m -> Bool # (>) :: WrappedMonoid m -> WrappedMonoid m -> Bool # (>=) :: WrappedMonoid m -> WrappedMonoid m -> Bool # max :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m # min :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m #
Read m => Read (WrappedMonoid m)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods readsPrec :: Int -> ReadS (WrappedMonoid m) # readList :: ReadS [WrappedMonoid m] # readPrec :: ReadPrec (WrappedMonoid m) # readListPrec :: ReadPrec [WrappedMonoid m] #
Show m => Show (WrappedMonoid m)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods showsPrec :: Int -> WrappedMonoid m -> ShowS # show :: WrappedMonoid m -> String # showList :: [WrappedMonoid m] -> ShowS #
Generic (WrappedMonoid m)
Instance details Defined in Data.Semigroup Associated Types type Rep (WrappedMonoid m) :: Type -> Type # Methods from :: WrappedMonoid m -> Rep (WrappedMonoid m) x # to :: Rep (WrappedMonoid m) x -> WrappedMonoid m #
Monoid m => Semigroup (WrappedMonoid m)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (<>) :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m # sconcat :: NonEmpty (WrappedMonoid m) -> WrappedMonoid m # stimes :: Integral b => b -> WrappedMonoid m -> WrappedMonoid m #
Monoid m => Monoid (WrappedMonoid m)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods mempty :: WrappedMonoid m # mappend :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m # mconcat :: [WrappedMonoid m] -> WrappedMonoid m #
Hashable a => Hashable (WrappedMonoid a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> WrappedMonoid a -> Int # hash :: WrappedMonoid a -> Int #
ToJSON a => ToJSON (WrappedMonoid a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: WrappedMonoid a -> Value # toEncoding :: WrappedMonoid a -> Encoding # toJSONList :: [WrappedMonoid a] -> Value # toEncodingList :: [WrappedMonoid a] -> Encoding #
FromJSON a => FromJSON (WrappedMonoid a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (WrappedMonoid a) # parseJSONList :: Value -> Parser [WrappedMonoid a] #
NFData m => NFData (WrappedMonoid m)	Since: deepseq-1.4.2.0
Instance details Defined in Control.DeepSeq Methods rnf :: WrappedMonoid m -> () #
Wrapped (WrappedMonoid a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (WrappedMonoid a) :: Type # Methods _Wrapped' :: Iso' (WrappedMonoid a) (Unwrapped (WrappedMonoid a)) #
Generic1 WrappedMonoid
Instance details Defined in Data.Semigroup Associated Types type Rep1 WrappedMonoid :: k -> Type # Methods from1 :: WrappedMonoid a -> Rep1 WrappedMonoid a # to1 :: Rep1 WrappedMonoid a -> WrappedMonoid a #
t ~ WrappedMonoid b => Rewrapped (WrappedMonoid a) t
Instance details Defined in Control.Lens.Wrapped
type Rep (WrappedMonoid m)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup type Rep (WrappedMonoid m) = D1 (MetaData "WrappedMonoid" "Data.Semigroup" "base" True) (C1 (MetaCons "WrapMonoid" PrefixI True) (S1 (MetaSel (Just "unwrapMonoid") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 m)))
type Unwrapped (WrappedMonoid a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (WrappedMonoid a) = a
type Rep1 WrappedMonoid	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup type Rep1 WrappedMonoid = D1 (MetaData "WrappedMonoid" "Data.Semigroup" "base" True) (C1 (MetaCons "WrapMonoid" PrefixI True) (S1 (MetaSel (Just "unwrapMonoid") NoSourceUnpackedness NoSourceStrictness DecidedLazy) Par1))

newtype Option a #

Option is effectively Maybe with a better instance of Monoid, built off of an underlying Semigroup instead of an underlying Monoid.

Ideally, this type would not exist at all and we would just fix the Monoid instance of Maybe.

In GHC 8.4 and higher, the Monoid instance for Maybe has been corrected to lift a Semigroup instance instead of a Monoid instance. Consequently, this type is no longer useful. It will be marked deprecated in GHC 8.8 and removed in GHC 8.10.

Constructors

Option
Fields getOption :: Maybe a

Instances

Monad Option	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (>>=) :: Option a -> (a -> Option b) -> Option b # (>>) :: Option a -> Option b -> Option b # return :: a -> Option a # fail :: String -> Option a #
Functor Option	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fmap :: (a -> b) -> Option a -> Option b # (<$) :: a -> Option b -> Option a #
MonadFix Option	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods mfix :: (a -> Option a) -> Option a #
Applicative Option	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods pure :: a -> Option a # (<>) :: Option (a -> b) -> Option a -> Option b # liftA2 :: (a -> b -> c) -> Option a -> Option b -> Option c # (>) :: Option a -> Option b -> Option b # (<*) :: Option a -> Option b -> Option a #
Foldable Option	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fold :: Monoid m => Option m -> m # foldMap :: Monoid m => (a -> m) -> Option a -> m # foldr :: (a -> b -> b) -> b -> Option a -> b # foldr' :: (a -> b -> b) -> b -> Option a -> b # foldl :: (b -> a -> b) -> b -> Option a -> b # foldl' :: (b -> a -> b) -> b -> Option a -> b # foldr1 :: (a -> a -> a) -> Option a -> a # foldl1 :: (a -> a -> a) -> Option a -> a # toList :: Option a -> [a] # null :: Option a -> Bool # length :: Option a -> Int # elem :: Eq a => a -> Option a -> Bool # maximum :: Ord a => Option a -> a # minimum :: Ord a => Option a -> a # sum :: Num a => Option a -> a # product :: Num a => Option a -> a #
Traversable Option	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods traverse :: Applicative f => (a -> f b) -> Option a -> f (Option b) # sequenceA :: Applicative f => Option (f a) -> f (Option a) # mapM :: Monad m => (a -> m b) -> Option a -> m (Option b) # sequence :: Monad m => Option (m a) -> m (Option a) #
MonadPlus Option	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods mzero :: Option a # mplus :: Option a -> Option a -> Option a #
ToJSON1 Option
Instance details Defined in Data.Aeson.Types.ToJSON Methods liftToJSON :: (a -> Value) -> ([a] -> Value) -> Option a -> Value # liftToJSONList :: (a -> Value) -> ([a] -> Value) -> [Option a] -> Value # liftToEncoding :: (a -> Encoding) -> ([a] -> Encoding) -> Option a -> Encoding # liftToEncodingList :: (a -> Encoding) -> ([a] -> Encoding) -> [Option a] -> Encoding #
FromJSON1 Option
Instance details Defined in Data.Aeson.Types.FromJSON Methods liftParseJSON :: (Value -> Parser a) -> (Value -> Parser [a]) -> Value -> Parser (Option a) # liftParseJSONList :: (Value -> Parser a) -> (Value -> Parser [a]) -> Value -> Parser [Option a] #
Alternative Option	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods empty :: Option a # (<\|>) :: Option a -> Option a -> Option a # some :: Option a -> Option [a] # many :: Option a -> Option [a] #
NFData1 Option	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf :: (a -> ()) -> Option a -> () #
(Selector s, GToJSON enc arity (K1 i (Maybe a) :: Type -> Type), KeyValuePair enc pairs, Monoid pairs) => RecordToPairs enc pairs arity (S1 s (K1 i (Option a) :: Type -> Type))
Instance details Defined in Data.Aeson.Types.ToJSON Methods recordToPairs :: Options -> ToArgs enc arity a0 -> S1 s (K1 i (Option a)) a0 -> pairs
(Selector s, FromJSON a) => FromRecord arity (S1 s (K1 i (Option a) :: Type -> Type))
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseRecord :: Options -> FromArgs arity a0 -> Object -> Parser (S1 s (K1 i (Option a)) a0)
Eq a => Eq (Option a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (==) :: Option a -> Option a -> Bool # (/=) :: Option a -> Option a -> Bool #
Data a => Data (Option a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Option a -> c (Option a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Option a) # toConstr :: Option a -> Constr # dataTypeOf :: Option a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Option a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Option a)) # gmapT :: (forall b. Data b => b -> b) -> Option a -> Option a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Option a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Option a -> r # gmapQ :: (forall d. Data d => d -> u) -> Option a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Option a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Option a -> m (Option a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Option a -> m (Option a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Option a -> m (Option a) #
Ord a => Ord (Option a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods compare :: Option a -> Option a -> Ordering # (<) :: Option a -> Option a -> Bool # (<=) :: Option a -> Option a -> Bool # (>) :: Option a -> Option a -> Bool # (>=) :: Option a -> Option a -> Bool # max :: Option a -> Option a -> Option a # min :: Option a -> Option a -> Option a #
Read a => Read (Option a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods readsPrec :: Int -> ReadS (Option a) # readList :: ReadS [Option a] # readPrec :: ReadPrec (Option a) # readListPrec :: ReadPrec [Option a] #
Show a => Show (Option a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods showsPrec :: Int -> Option a -> ShowS # show :: Option a -> String # showList :: [Option a] -> ShowS #
Generic (Option a)
Instance details Defined in Data.Semigroup Associated Types type Rep (Option a) :: Type -> Type # Methods from :: Option a -> Rep (Option a) x # to :: Rep (Option a) x -> Option a #
Semigroup a => Semigroup (Option a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (<>) :: Option a -> Option a -> Option a # sconcat :: NonEmpty (Option a) -> Option a # stimes :: Integral b => b -> Option a -> Option a #
Semigroup a => Monoid (Option a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods mempty :: Option a # mappend :: Option a -> Option a -> Option a # mconcat :: [Option a] -> Option a #
Hashable a => Hashable (Option a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Option a -> Int # hash :: Option a -> Int #
ToJSON a => ToJSON (Option a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Option a -> Value # toEncoding :: Option a -> Encoding # toJSONList :: [Option a] -> Value # toEncodingList :: [Option a] -> Encoding #
FromJSON a => FromJSON (Option a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Option a) # parseJSONList :: Value -> Parser [Option a] #
NFData a => NFData (Option a)	Since: deepseq-1.4.2.0
Instance details Defined in Control.DeepSeq Methods rnf :: Option a -> () #
Wrapped (Option a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Option a) :: Type # Methods _Wrapped' :: Iso' (Option a) (Unwrapped (Option a)) #
LookupField (Option a)
Instance details Defined in Data.Aeson.TH Methods lookupField :: (Value -> Parser (Option a)) -> String -> String -> Object -> Text -> Parser (Option a)
Generic1 Option
Instance details Defined in Data.Semigroup Associated Types type Rep1 Option :: k -> Type # Methods from1 :: Option a -> Rep1 Option a # to1 :: Rep1 Option a -> Option a #
t ~ Option b => Rewrapped (Option a) t
Instance details Defined in Control.Lens.Wrapped
type Rep (Option a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup type Rep (Option a) = D1 (MetaData "Option" "Data.Semigroup" "base" True) (C1 (MetaCons "Option" PrefixI True) (S1 (MetaSel (Just "getOption") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (Maybe a))))
type Unwrapped (Option a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Option a) = Maybe a
type Rep1 Option	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup type Rep1 Option = D1 (MetaData "Option" "Data.Semigroup" "base" True) (C1 (MetaCons "Option" PrefixI True) (S1 (MetaSel (Just "getOption") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 Maybe)))

threadWaitWriteSTM :: Fd -> IO (STM (), IO ()) #

Returns an STM action that can be used to wait until data can be written to a file descriptor. The second returned value is an IO action that can be used to deregister interest in the file descriptor.

Since: base-4.7.0.0

threadWaitReadSTM :: Fd -> IO (STM (), IO ()) #

Returns an STM action that can be used to wait for data to read from a file descriptor. The second returned value is an IO action that can be used to deregister interest in the file descriptor.

Since: base-4.7.0.0

threadWaitWrite :: Fd -> IO () #

Block the current thread until data can be written to the given file descriptor (GHC only).

This will throw an IOError if the file descriptor was closed while this thread was blocked. To safely close a file descriptor that has been used with threadWaitWrite, use closeFdWith.

threadWaitRead :: Fd -> IO () #

Block the current thread until data is available to read on the given file descriptor (GHC only).

This will throw an IOError if the file descriptor was closed while this thread was blocked. To safely close a file descriptor that has been used with threadWaitRead, use closeFdWith.

runInUnboundThread :: IO a -> IO a #

Run the IO computation passed as the first argument. If the calling thread is bound, an unbound thread is created temporarily using forkIO. runInBoundThread doesn't finish until the IO computation finishes.

Use this function only in the rare case that you have actually observed a performance loss due to the use of bound threads. A program that doesn't need its main thread to be bound and makes heavy use of concurrency (e.g. a web server), might want to wrap its main action in runInUnboundThread.

Note that exceptions which are thrown to the current thread are thrown in turn to the thread that is executing the given computation. This ensures there's always a way of killing the forked thread.

runInBoundThread :: IO a -> IO a #

Run the IO computation passed as the first argument. If the calling thread is not bound, a bound thread is created temporarily. runInBoundThread doesn't finish until the IO computation finishes.

You can wrap a series of foreign function calls that rely on thread-local state with runInBoundThread so that you can use them without knowing whether the current thread is bound.

isCurrentThreadBound :: IO Bool #

Returns True if the calling thread is bound, that is, if it is safe to use foreign libraries that rely on thread-local state from the calling thread.

forkOSWithUnmask :: ((forall a. IO a -> IO a) -> IO ()) -> IO ThreadId #

Like forkIOWithUnmask, but the child thread is a bound thread, as with forkOS.

forkFinally :: IO a -> (Either SomeException a -> IO ()) -> IO ThreadId #

Fork a thread and call the supplied function when the thread is about to terminate, with an exception or a returned value. The function is called with asynchronous exceptions masked.

forkFinally action and_then =
  mask $ \restore ->
    forkIO $ try (restore action) >>= and_then

This function is useful for informing the parent when a child terminates, for example.

Since: base-4.6.0.0

rtsSupportsBoundThreads :: Bool #

True if bound threads are supported. If rtsSupportsBoundThreads is False, isCurrentThreadBound will always return False and both forkOS and runInBoundThread will fail.

writeList2Chan :: Chan a -> [a] -> IO () #

Write an entire list of items to a Chan.

getChanContents :: Chan a -> IO [a] #

Return a lazy list representing the contents of the supplied Chan, much like hGetContents.

dupChan :: Chan a -> IO (Chan a) #

Duplicate a Chan: the duplicate channel begins empty, but data written to either channel from then on will be available from both. Hence this creates a kind of broadcast channel, where data written by anyone is seen by everyone else.

(Note that a duplicated channel is not equal to its original. So: fmap (c /=) $ dupChan c returns True for all c.)

readChan :: Chan a -> IO a #

Read the next value from the Chan. Blocks when the channel is empty. Since the read end of a channel is an MVar, this operation inherits fairness guarantees of MVars (e.g. threads blocked in this operation are woken up in FIFO order).

Throws BlockedIndefinitelyOnMVar when the channel is empty and no other thread holds a reference to the channel.

writeChan :: Chan a -> a -> IO () #

Write a value to a Chan.

newChan :: IO (Chan a) #

Build and returns a new instance of Chan.

data Chan a #

Chan is an abstract type representing an unbounded FIFO channel.

Instances

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 #

signalQSem :: QSem -> IO () #

Signal that a unit of the QSem is available

waitQSem :: QSem -> IO () #

Wait for a unit to become available

newQSem :: Int -> IO QSem #

Build a new QSem with a supplied initial quantity. The initial quantity must be at least 0.

data QSem #

QSem is a quantity semaphore in which the resource is acquired and released in units of one. It provides guaranteed FIFO ordering for satisfying blocked waitQSem calls.

The pattern

  bracket_ waitQSem signalQSem (...)

is safe; it never loses a unit of the resource.

signalQSemN :: QSemN -> Int -> IO () #

Signal that a given quantity is now available from the QSemN.

waitQSemN :: QSemN -> Int -> IO () #

Wait for the specified quantity to become available

newQSemN :: Int -> IO QSemN #

Build a new QSemN with a supplied initial quantity. The initial quantity must be at least 0.

data QSemN #

QSemN is a quantity semaphore in which the resource is acquired and released in units of one. It provides guaranteed FIFO ordering for satisfying blocked waitQSemN calls.

The pattern

  bracket_ (waitQSemN n) (signalQSemN n) (...)

is safe; it never loses any of the resource.

class Bifunctor (p :: Type -> Type -> Type) where #

A bifunctor is a type constructor that takes two type arguments and is a functor in both arguments. That is, unlike with Functor, a type constructor such as Either does not need to be partially applied for a Bifunctor instance, and the methods in this class permit mapping functions over the Left value or the Right value, or both at the same time.

Formally, the class Bifunctor represents a bifunctor from Hask -> Hask.

Intuitively it is a bifunctor where both the first and second arguments are covariant.

You can define a Bifunctor by either defining bimap or by defining both first and second.

If you supply bimap, you should ensure that:

bimap id id ≡ id

If you supply first and second, ensure:

first id ≡ id
second id ≡ id

If you supply both, you should also ensure:

bimap f g ≡ first f . second g

These ensure by parametricity:

bimap  (f . g) (h . i) ≡ bimap f h . bimap g i
first  (f . g) ≡ first  f . first  g
second (f . g) ≡ second f . second g

Since: base-4.8.0.0

Minimal complete definition

bimap | first, second

Methods

bimap :: (a -> b) -> (c -> d) -> p a c -> p b d #

Map over both arguments at the same time.

bimap f g ≡ first f . second g

Examples

Expand

>>> bimap toUpper (+1) ('j', 3)
('J',4)

>>> bimap toUpper (+1) (Left 'j')
Left 'J'

>>> bimap toUpper (+1) (Right 3)
Right 4

first :: (a -> b) -> p a c -> p b c #

Map covariantly over the first argument.

first f ≡ bimap f id

Examples

Expand

>>> first toUpper ('j', 3)
('J',3)

>>> first toUpper (Left 'j')
Left 'J'

second :: (b -> c) -> p a b -> p a c #

Map covariantly over the second argument.

second ≡ bimap id

Examples

Expand

>>> second (+1) ('j', 3)
('j',4)

>>> second (+1) (Right 3)
Right 4

Instances

Bifunctor Either	Since: base-4.8.0.0
Instance details Defined in Data.Bifunctor Methods bimap :: (a -> b) -> (c -> d) -> Either a c -> Either b d # first :: (a -> b) -> Either a c -> Either b c # second :: (b -> c) -> Either a b -> Either a c #
Bifunctor (,)	Since: base-4.8.0.0
Instance details Defined in Data.Bifunctor Methods bimap :: (a -> b) -> (c -> d) -> (a, c) -> (b, d) # first :: (a -> b) -> (a, c) -> (b, c) # second :: (b -> c) -> (a, b) -> (a, c) #
Bifunctor Arg	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods bimap :: (a -> b) -> (c -> d) -> Arg a c -> Arg b d # first :: (a -> b) -> Arg a c -> Arg b c # second :: (b -> c) -> Arg a b -> Arg a c #
Bifunctor ((,,) x1)	Since: base-4.8.0.0
Instance details Defined in Data.Bifunctor Methods bimap :: (a -> b) -> (c -> d) -> (x1, a, c) -> (x1, b, d) # first :: (a -> b) -> (x1, a, c) -> (x1, b, c) # second :: (b -> c) -> (x1, a, b) -> (x1, a, c) #
Bifunctor (Const :: Type -> Type -> Type)	Since: base-4.8.0.0
Instance details Defined in Data.Bifunctor Methods bimap :: (a -> b) -> (c -> d) -> Const a c -> Const b d # first :: (a -> b) -> Const a c -> Const b c # second :: (b -> c) -> Const a b -> Const a c #
Functor f => Bifunctor (FreeF f)
Instance details Defined in Control.Monad.Trans.Free Methods bimap :: (a -> b) -> (c -> d) -> FreeF f a c -> FreeF f b d # first :: (a -> b) -> FreeF f a c -> FreeF f b c # second :: (b -> c) -> FreeF f a b -> FreeF f a c #
Functor f => Bifunctor (CofreeF f)
Instance details Defined in Control.Comonad.Trans.Cofree Methods bimap :: (a -> b) -> (c -> d) -> CofreeF f a c -> CofreeF f b d # first :: (a -> b) -> CofreeF f a c -> CofreeF f b c # second :: (b -> c) -> CofreeF f a b -> CofreeF f a c #
Bifunctor (Tagged :: Type -> Type -> Type)
Instance details Defined in Data.Tagged Methods bimap :: (a -> b) -> (c -> d) -> Tagged a c -> Tagged b d # first :: (a -> b) -> Tagged a c -> Tagged b c # second :: (b -> c) -> Tagged a b -> Tagged a c #
Bifunctor (K1 i :: Type -> Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Bifunctor Methods bimap :: (a -> b) -> (c -> d) -> K1 i a c -> K1 i b d # first :: (a -> b) -> K1 i a c -> K1 i b c # second :: (b -> c) -> K1 i a b -> K1 i a c #
Bifunctor ((,,,) x1 x2)	Since: base-4.8.0.0
Instance details Defined in Data.Bifunctor Methods bimap :: (a -> b) -> (c -> d) -> (x1, x2, a, c) -> (x1, x2, b, d) # first :: (a -> b) -> (x1, x2, a, c) -> (x1, x2, b, c) # second :: (b -> c) -> (x1, x2, a, b) -> (x1, x2, a, c) #
Bifunctor ((,,,,) x1 x2 x3)	Since: base-4.8.0.0
Instance details Defined in Data.Bifunctor Methods bimap :: (a -> b) -> (c -> d) -> (x1, x2, x3, a, c) -> (x1, x2, x3, b, d) # first :: (a -> b) -> (x1, x2, x3, a, c) -> (x1, x2, x3, b, c) # second :: (b -> c) -> (x1, x2, x3, a, b) -> (x1, x2, x3, a, c) #
Bifunctor p => Bifunctor (WrappedBifunctor p)
Instance details Defined in Data.Bifunctor.Wrapped Methods bimap :: (a -> b) -> (c -> d) -> WrappedBifunctor p a c -> WrappedBifunctor p b d # first :: (a -> b) -> WrappedBifunctor p a c -> WrappedBifunctor p b c # second :: (b -> c) -> WrappedBifunctor p a b -> WrappedBifunctor p a c #
Functor g => Bifunctor (Joker g :: Type -> Type -> Type)
Instance details Defined in Data.Bifunctor.Joker Methods bimap :: (a -> b) -> (c -> d) -> Joker g a c -> Joker g b d # first :: (a -> b) -> Joker g a c -> Joker g b c # second :: (b -> c) -> Joker g a b -> Joker g a c #
Bifunctor p => Bifunctor (Flip p)
Instance details Defined in Data.Bifunctor.Flip Methods bimap :: (a -> b) -> (c -> d) -> Flip p a c -> Flip p b d # first :: (a -> b) -> Flip p a c -> Flip p b c # second :: (b -> c) -> Flip p a b -> Flip p a c #
Functor f => Bifunctor (Clown f :: Type -> Type -> Type)
Instance details Defined in Data.Bifunctor.Clown Methods bimap :: (a -> b) -> (c -> d) -> Clown f a c -> Clown f b d # first :: (a -> b) -> Clown f a c -> Clown f b c # second :: (b -> c) -> Clown f a b -> Clown f a c #
Bifunctor ((,,,,,) x1 x2 x3 x4)	Since: base-4.8.0.0
Instance details Defined in Data.Bifunctor Methods bimap :: (a -> b) -> (c -> d) -> (x1, x2, x3, x4, a, c) -> (x1, x2, x3, x4, b, d) # first :: (a -> b) -> (x1, x2, x3, x4, a, c) -> (x1, x2, x3, x4, b, c) # second :: (b -> c) -> (x1, x2, x3, x4, a, b) -> (x1, x2, x3, x4, a, c) #
(Bifunctor p, Bifunctor q) => Bifunctor (Sum p q)
Instance details Defined in Data.Bifunctor.Sum Methods bimap :: (a -> b) -> (c -> d) -> Sum p q a c -> Sum p q b d # first :: (a -> b) -> Sum p q a c -> Sum p q b c # second :: (b -> c) -> Sum p q a b -> Sum p q a c #
(Bifunctor f, Bifunctor g) => Bifunctor (Product f g)
Instance details Defined in Data.Bifunctor.Product Methods bimap :: (a -> b) -> (c -> d) -> Product f g a c -> Product f g b d # first :: (a -> b) -> Product f g a c -> Product f g b c # second :: (b -> c) -> Product f g a b -> Product f g a c #
Bifunctor ((,,,,,,) x1 x2 x3 x4 x5)	Since: base-4.8.0.0
Instance details Defined in Data.Bifunctor Methods bimap :: (a -> b) -> (c -> d) -> (x1, x2, x3, x4, x5, a, c) -> (x1, x2, x3, x4, x5, b, d) # first :: (a -> b) -> (x1, x2, x3, x4, x5, a, c) -> (x1, x2, x3, x4, x5, b, c) # second :: (b -> c) -> (x1, x2, x3, x4, x5, a, b) -> (x1, x2, x3, x4, x5, a, c) #
(Functor f, Bifunctor p) => Bifunctor (Tannen f p)
Instance details Defined in Data.Bifunctor.Tannen Methods bimap :: (a -> b) -> (c -> d) -> Tannen f p a c -> Tannen f p b d # first :: (a -> b) -> Tannen f p a c -> Tannen f p b c # second :: (b -> c) -> Tannen f p a b -> Tannen f p a c #
(Bifunctor p, Functor f, Functor g) => Bifunctor (Biff p f g)
Instance details Defined in Data.Bifunctor.Biff Methods bimap :: (a -> b) -> (c -> d) -> Biff p f g a c -> Biff p f g b d # first :: (a -> b) -> Biff p f g a c -> Biff p f g b c # second :: (b -> c) -> Biff p f g a b -> Biff p f g a c #

nonEmpty :: [a] -> Maybe (NonEmpty a) #

nonEmpty efficiently turns a normal list into a NonEmpty stream, producing Nothing if the input is empty.

showStackTrace :: IO (Maybe String) #

Get a string representation of the current execution stack state.

getStackTrace :: IO (Maybe [Location]) #

Get a trace of the current execution stack state.

Returns Nothing if stack trace support isn't available on host machine.

data SrcLoc #

A location in the original program source.

Constructors

SrcLoc
Fields sourceFile :: String sourceLine :: Int sourceColumn :: Int

data Location #

Location information about an address from a backtrace.

Constructors

Location
Fields objectName :: String functionName :: String srcLoc :: Maybe SrcLoc

getArgs :: IO [String] #

Computation getArgs returns a list of the program's command line arguments (not including the program name).

exitSuccess :: IO a #

The computation exitSuccess is equivalent to exitWith ExitSuccess, It terminates the program successfully.

exitFailure :: IO a #

The computation exitFailure is equivalent to exitWith (ExitFailure exitfail), where exitfail is implementation-dependent.

exitWith :: ExitCode -> IO a #

Computation exitWith code throws ExitCode code. Normally this terminates the program, returning code to the program's caller.

On program termination, the standard Handles stdout and stderr are flushed automatically; any other buffered Handles need to be flushed manually, otherwise the buffered data will be discarded.

A program that fails in any other way is treated as if it had called exitFailure. A program that terminates successfully without calling exitWith explicitly is treated as if it had called exitWith ExitSuccess.

As an ExitCode is not an IOException, exitWith bypasses the error handling in the IO monad and cannot be intercepted by catch from the Prelude. However it is a SomeException, and can be caught using the functions of Control.Exception. This means that cleanup computations added with bracket (from Control.Exception) are also executed properly on exitWith.

Note: in GHC, exitWith should be called from the main program thread in order to exit the process. When called from another thread, exitWith will throw an ExitException as normal, but the exception will not cause the process itself to exit.

foldMapDefault :: (Traversable t, Monoid m) => (a -> m) -> t a -> m #

This function may be used as a value for foldMap in a Foldable instance.

foldMapDefault f ≡ getConst . traverse (Const . f)

fmapDefault :: Traversable t => (a -> b) -> t a -> t b #

This function may be used as a value for fmap in a Functor instance, provided that traverse is defined. (Using fmapDefault with a Traversable instance defined only by sequenceA will result in infinite recursion.)

fmapDefault f ≡ runIdentity . traverse (Identity . f)

mapAccumR :: Traversable t => (a -> b -> (a, c)) -> a -> t b -> (a, t c) #

The mapAccumR function behaves like a combination of fmap and foldr; it applies a function to each element of a structure, passing an accumulating parameter from right to left, and returning a final value of this accumulator together with the new structure.

mapAccumL :: Traversable t => (a -> b -> (a, c)) -> a -> t b -> (a, t c) #

The mapAccumL function behaves like a combination of fmap and foldl; it applies a function to each element of a structure, passing an accumulating parameter from left to right, and returning a final value of this accumulator together with the new structure.

for :: (Traversable t, Applicative f) => t a -> (a -> f b) -> f (t b) #

for is traverse with its arguments flipped. For a version that ignores the results see for_.

optional :: Alternative f => f a -> f (Maybe a) #

One or none.

newtype ZipList a #

Lists, but with an Applicative functor based on zipping.

Constructors

ZipList
Fields getZipList :: [a]

Instances

Functor ZipList	Since: base-2.1
Instance details Defined in Control.Applicative Methods fmap :: (a -> b) -> ZipList a -> ZipList b # (<$) :: a -> ZipList b -> ZipList a #
Applicative ZipList	f '<$>' 'ZipList' xs1 '<>' ... '<>' 'ZipList' xsN = 'ZipList' (zipWithN f xs1 ... xsN) where `zipWithN` refers to the `zipWith` function of the appropriate arity (`zipWith`, `zipWith3`, `zipWith4`, ...). For example: (\a b c -> stimes c [a, b]) <$> ZipList "abcd" <> ZipList "567" <> ZipList [1..] = ZipList (zipWith3 (\a b c -> stimes c [a, b]) "abcd" "567" [1..]) = ZipList {getZipList = ["a5","b6b6","c7c7c7"]} Since: base-2.1
Instance details Defined in Control.Applicative Methods pure :: a -> ZipList a # (<>) :: ZipList (a -> b) -> ZipList a -> ZipList b # liftA2 :: (a -> b -> c) -> ZipList a -> ZipList b -> ZipList c # (>) :: ZipList a -> ZipList b -> ZipList b # (<*) :: ZipList a -> ZipList b -> ZipList a #
Foldable ZipList	Since: base-4.9.0.0
Instance details Defined in Control.Applicative Methods fold :: Monoid m => ZipList m -> m # foldMap :: Monoid m => (a -> m) -> ZipList a -> m # foldr :: (a -> b -> b) -> b -> ZipList a -> b # foldr' :: (a -> b -> b) -> b -> ZipList a -> b # foldl :: (b -> a -> b) -> b -> ZipList a -> b # foldl' :: (b -> a -> b) -> b -> ZipList a -> b # foldr1 :: (a -> a -> a) -> ZipList a -> a # foldl1 :: (a -> a -> a) -> ZipList a -> a # toList :: ZipList a -> [a] # null :: ZipList a -> Bool # length :: ZipList a -> Int # elem :: Eq a => a -> ZipList a -> Bool # maximum :: Ord a => ZipList a -> a # minimum :: Ord a => ZipList a -> a # sum :: Num a => ZipList a -> a # product :: Num a => ZipList a -> a #
Traversable ZipList	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> ZipList a -> f (ZipList b) # sequenceA :: Applicative f => ZipList (f a) -> f (ZipList a) # mapM :: Monad m => (a -> m b) -> ZipList a -> m (ZipList b) # sequence :: Monad m => ZipList (m a) -> m (ZipList a) #
Alternative ZipList	Since: base-4.11.0.0
Instance details Defined in Control.Applicative Methods empty :: ZipList a # (<\|>) :: ZipList a -> ZipList a -> ZipList a # some :: ZipList a -> ZipList [a] # many :: ZipList a -> ZipList [a] #
NFData1 ZipList	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf :: (a -> ()) -> ZipList a -> () #
FunctorWithIndex Int ZipList	Same instance as for `[]`.
Instance details Defined in Control.Lens.Indexed Methods imap :: (Int -> a -> b) -> ZipList a -> ZipList b # imapped :: IndexedSetter Int (ZipList a) (ZipList b) a b #
FoldableWithIndex Int ZipList
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Int -> a -> m) -> ZipList a -> m # ifolded :: IndexedFold Int (ZipList a) a # ifoldr :: (Int -> a -> b -> b) -> b -> ZipList a -> b # ifoldl :: (Int -> b -> a -> b) -> b -> ZipList a -> b # ifoldr' :: (Int -> a -> b -> b) -> b -> ZipList a -> b # ifoldl' :: (Int -> b -> a -> b) -> b -> ZipList a -> b #
TraversableWithIndex Int ZipList
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => (Int -> a -> f b) -> ZipList a -> f (ZipList b) # itraversed :: IndexedTraversal Int (ZipList a) (ZipList b) a b #
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 #
Ord a => Ord (ZipList a)	Since: base-4.7.0.0
Instance details Defined in Control.Applicative Methods compare :: ZipList a -> ZipList a -> Ordering # (<) :: ZipList a -> ZipList a -> Bool # (<=) :: ZipList a -> ZipList a -> Bool # (>) :: ZipList a -> ZipList a -> Bool # (>=) :: ZipList a -> ZipList a -> Bool # max :: ZipList a -> ZipList a -> ZipList a # min :: ZipList a -> ZipList a -> ZipList a #
Read a => Read (ZipList a)	Since: base-4.7.0.0
Instance details Defined in Control.Applicative Methods readsPrec :: Int -> ReadS (ZipList a) # readList :: ReadS [ZipList a] # readPrec :: ReadPrec (ZipList a) # readListPrec :: ReadPrec [ZipList a] #
Show a => Show (ZipList a)	Since: base-4.7.0.0
Instance details Defined in Control.Applicative Methods showsPrec :: Int -> ZipList a -> ShowS # show :: ZipList a -> String # showList :: [ZipList a] -> ShowS #
Generic (ZipList a)
Instance details Defined in Control.Applicative Associated Types type Rep (ZipList a) :: Type -> Type # Methods from :: ZipList a -> Rep (ZipList a) x # to :: Rep (ZipList a) x -> ZipList a #
NFData a => NFData (ZipList a)	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: ZipList a -> () #
Wrapped (ZipList a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (ZipList a) :: Type # Methods _Wrapped' :: Iso' (ZipList a) (Unwrapped (ZipList a)) #
Generic1 ZipList
Instance details Defined in Control.Applicative Associated Types type Rep1 ZipList :: k -> Type # Methods from1 :: ZipList a -> Rep1 ZipList a # to1 :: Rep1 ZipList a -> ZipList a #
t ~ ZipList b => Rewrapped (ZipList a) t
Instance details Defined in Control.Lens.Wrapped
Cons (ZipList a) (ZipList b) a b
Instance details Defined in Control.Lens.Cons Methods _Cons :: Prism (ZipList a) (ZipList b) (a, ZipList a) (b, ZipList b) #
Snoc (ZipList a) (ZipList b) a b
Instance details Defined in Control.Lens.Cons Methods _Snoc :: Prism (ZipList a) (ZipList b) (ZipList a, a) (ZipList b, b) #
type Rep (ZipList a)	Since: base-4.7.0.0
Instance details Defined in Control.Applicative type Rep (ZipList a) = D1 (MetaData "ZipList" "Control.Applicative" "base" True) (C1 (MetaCons "ZipList" PrefixI True) (S1 (MetaSel (Just "getZipList") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 [a])))
type Unwrapped (ZipList a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (ZipList a) = [a]
type Rep1 ZipList	Since: base-4.7.0.0
Instance details Defined in Control.Applicative type Rep1 ZipList = D1 (MetaData "ZipList" "Control.Applicative" "base" True) (C1 (MetaCons "ZipList" PrefixI True) (S1 (MetaSel (Just "getZipList") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 [])))

newtype Identity a #

Identity functor and monad. (a non-strict monad)

Since: base-4.8.0.0

Constructors

Identity
Fields runIdentity :: a

Instances

Monad Identity	Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity Methods (>>=) :: Identity a -> (a -> Identity b) -> Identity b # (>>) :: Identity a -> Identity b -> Identity b # return :: a -> Identity a # fail :: String -> Identity a #
Functor Identity	Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity Methods fmap :: (a -> b) -> Identity a -> Identity b # (<$) :: a -> Identity b -> Identity a #
MonadFix Identity	Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity Methods mfix :: (a -> Identity a) -> Identity a #
Applicative Identity	Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity Methods pure :: a -> Identity a # (<>) :: Identity (a -> b) -> Identity a -> Identity b # liftA2 :: (a -> b -> c) -> Identity a -> Identity b -> Identity c # (>) :: Identity a -> Identity b -> Identity b # (<*) :: Identity a -> Identity b -> Identity a #
Foldable Identity	Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity Methods fold :: Monoid m => Identity m -> m # foldMap :: Monoid m => (a -> m) -> Identity a -> m # foldr :: (a -> b -> b) -> b -> Identity a -> b # foldr' :: (a -> b -> b) -> b -> Identity a -> b # foldl :: (b -> a -> b) -> b -> Identity a -> b # foldl' :: (b -> a -> b) -> b -> Identity a -> b # foldr1 :: (a -> a -> a) -> Identity a -> a # foldl1 :: (a -> a -> a) -> Identity a -> a # toList :: Identity a -> [a] # null :: Identity a -> Bool # length :: Identity a -> Int # elem :: Eq a => a -> Identity a -> Bool # maximum :: Ord a => Identity a -> a # minimum :: Ord a => Identity a -> a # sum :: Num a => Identity a -> a # product :: Num a => Identity a -> a #
Traversable Identity	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Identity a -> f (Identity b) # sequenceA :: Applicative f => Identity (f a) -> f (Identity a) # mapM :: Monad m => (a -> m b) -> Identity a -> m (Identity b) # sequence :: Monad m => Identity (m a) -> m (Identity a) #
Representable Identity
Instance details Defined in Data.Functor.Rep Associated Types type Rep Identity :: Type # Methods tabulate :: (Rep Identity -> a) -> Identity a # index :: Identity a -> Rep Identity -> a #
ToJSON1 Identity
Instance details Defined in Data.Aeson.Types.ToJSON Methods liftToJSON :: (a -> Value) -> ([a] -> Value) -> Identity a -> Value # liftToJSONList :: (a -> Value) -> ([a] -> Value) -> [Identity a] -> Value # liftToEncoding :: (a -> Encoding) -> ([a] -> Encoding) -> Identity a -> Encoding # liftToEncodingList :: (a -> Encoding) -> ([a] -> Encoding) -> [Identity a] -> Encoding #
FromJSON1 Identity
Instance details Defined in Data.Aeson.Types.FromJSON Methods liftParseJSON :: (Value -> Parser a) -> (Value -> Parser [a]) -> Value -> Parser (Identity a) # liftParseJSONList :: (Value -> Parser a) -> (Value -> Parser [a]) -> Value -> Parser [Identity a] #
Eq1 Identity	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftEq :: (a -> b -> Bool) -> Identity a -> Identity b -> Bool #
Ord1 Identity	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftCompare :: (a -> b -> Ordering) -> Identity a -> Identity b -> Ordering #
Read1 Identity	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Identity a) # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Identity a] # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Identity a) # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Identity a] #
Show1 Identity	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Identity a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Identity a] -> ShowS #
NFData1 Identity	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf :: (a -> ()) -> Identity a -> () #
Hashable1 Identity
Instance details Defined in Data.Hashable.Class Methods liftHashWithSalt :: (Int -> a -> Int) -> Int -> Identity a -> Int #
FunctorWithIndex () Identity
Instance details Defined in Control.Lens.Indexed Methods imap :: (() -> a -> b) -> Identity a -> Identity b # imapped :: IndexedSetter () (Identity a) (Identity b) a b #
FoldableWithIndex () Identity
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (() -> a -> m) -> Identity a -> m # ifolded :: IndexedFold () (Identity a) a # ifoldr :: (() -> a -> b -> b) -> b -> Identity a -> b # ifoldl :: (() -> b -> a -> b) -> b -> Identity a -> b # ifoldr' :: (() -> a -> b -> b) -> b -> Identity a -> b # ifoldl' :: (() -> b -> a -> b) -> b -> Identity a -> b #
TraversableWithIndex () Identity
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => (() -> a -> f b) -> Identity a -> f (Identity b) # itraversed :: IndexedTraversal () (Identity a) (Identity b) a b #
MonadBaseControl Identity Identity
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM Identity a :: Type # Methods liftBaseWith :: (RunInBase Identity Identity -> Identity a) -> Identity a # restoreM :: StM Identity a -> Identity a #
Sieve ReifiedGetter Identity
Instance details Defined in Control.Lens.Reified Methods sieve :: ReifiedGetter a b -> a -> Identity b #
Cosieve ReifiedGetter Identity
Instance details Defined in Control.Lens.Reified Methods cosieve :: ReifiedGetter a b -> Identity a -> b #
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 #
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] #
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 #
Floating a => Floating (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods pi :: Identity a # exp :: Identity a -> Identity a # log :: Identity a -> Identity a # sqrt :: Identity a -> Identity a # (**) :: Identity a -> Identity a -> Identity a # logBase :: Identity a -> Identity a -> Identity a # sin :: Identity a -> Identity a # cos :: Identity a -> Identity a # tan :: Identity a -> Identity a # asin :: Identity a -> Identity a # acos :: Identity a -> Identity a # atan :: Identity a -> Identity a # sinh :: Identity a -> Identity a # cosh :: Identity a -> Identity a # tanh :: Identity a -> Identity a # asinh :: Identity a -> Identity a # acosh :: Identity a -> Identity a # atanh :: Identity a -> Identity a # log1p :: Identity a -> Identity a # expm1 :: Identity a -> Identity a # log1pexp :: Identity a -> Identity a # log1mexp :: Identity a -> Identity a #
Fractional a => Fractional (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods (/) :: Identity a -> Identity a -> Identity a # recip :: Identity a -> Identity a # fromRational :: Rational -> Identity a #
Integral a => Integral (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods quot :: Identity a -> Identity a -> Identity a # rem :: Identity a -> Identity a -> Identity a # div :: Identity a -> Identity a -> Identity a # mod :: Identity a -> Identity a -> Identity a # quotRem :: Identity a -> Identity a -> (Identity a, Identity a) # divMod :: Identity a -> Identity a -> (Identity a, Identity a) # toInteger :: Identity a -> Integer #
Num a => Num (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods (+) :: Identity a -> Identity a -> Identity a # (-) :: Identity a -> Identity a -> Identity a # (*) :: Identity a -> Identity a -> Identity a # negate :: Identity a -> Identity a # abs :: Identity a -> Identity a # signum :: Identity a -> Identity a # fromInteger :: Integer -> Identity a #
Ord a => Ord (Identity a)	Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity Methods compare :: Identity a -> Identity a -> Ordering # (<) :: Identity a -> Identity a -> Bool # (<=) :: Identity a -> Identity a -> Bool # (>) :: Identity a -> Identity a -> Bool # (>=) :: Identity a -> Identity a -> Bool # max :: Identity a -> Identity a -> Identity a # min :: Identity a -> Identity a -> Identity a #
Read a => Read (Identity a)	This instance would be equivalent to the derived instances of the `Identity` newtype if the `runIdentity` field were removed Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity Methods readsPrec :: Int -> ReadS (Identity a) # readList :: ReadS [Identity a] # readPrec :: ReadPrec (Identity a) # readListPrec :: ReadPrec [Identity a] #
Real a => Real (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods toRational :: Identity a -> Rational #
RealFloat a => RealFloat (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods floatRadix :: Identity a -> Integer # floatDigits :: Identity a -> Int # floatRange :: Identity a -> (Int, Int) # decodeFloat :: Identity a -> (Integer, Int) # encodeFloat :: Integer -> Int -> Identity a # exponent :: Identity a -> Int # significand :: Identity a -> Identity a # scaleFloat :: Int -> Identity a -> Identity a # isNaN :: Identity a -> Bool # isInfinite :: Identity a -> Bool # isDenormalized :: Identity a -> Bool # isNegativeZero :: Identity a -> Bool # isIEEE :: Identity a -> Bool # atan2 :: Identity a -> Identity a -> Identity a #
RealFrac a => RealFrac (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods properFraction :: Integral b => Identity a -> (b, Identity a) # truncate :: Integral b => Identity a -> b # round :: Integral b => Identity a -> b # ceiling :: Integral b => Identity a -> b # floor :: Integral b => Identity a -> b #
Show a => Show (Identity a)	This instance would be equivalent to the derived instances of the `Identity` newtype if the `runIdentity` field were removed Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity Methods showsPrec :: Int -> Identity a -> ShowS # show :: Identity a -> String # showList :: [Identity a] -> ShowS #
Ix a => Ix (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods range :: (Identity a, Identity a) -> [Identity a] # index :: (Identity a, Identity a) -> Identity a -> Int # unsafeIndex :: (Identity a, Identity a) -> Identity a -> Int inRange :: (Identity a, Identity a) -> Identity a -> Bool # rangeSize :: (Identity a, Identity a) -> Int # unsafeRangeSize :: (Identity a, Identity a) -> Int
IsString a => IsString (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.String Methods fromString :: String -> Identity a #
Generic (Identity a)
Instance details Defined in Data.Functor.Identity Associated Types type Rep (Identity a) :: Type -> Type # Methods from :: Identity a -> Rep (Identity a) x # to :: Rep (Identity a) x -> Identity a #
Semigroup a => Semigroup (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods (<>) :: Identity a -> Identity a -> Identity a # sconcat :: NonEmpty (Identity a) -> Identity a # stimes :: Integral b => b -> Identity a -> Identity a #
Monoid a => Monoid (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods mempty :: Identity a # mappend :: Identity a -> Identity a -> Identity a # mconcat :: [Identity a] -> Identity a #
Hashable a => Hashable (Identity a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Identity a -> Int # hash :: Identity a -> Int #
ToJSON a => ToJSON (Identity a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Identity a -> Value # toEncoding :: Identity a -> Encoding # toJSONList :: [Identity a] -> Value # toEncodingList :: [Identity a] -> Encoding #
ToJSONKey a => ToJSONKey (Identity a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSONKey :: ToJSONKeyFunction (Identity a) # toJSONKeyList :: ToJSONKeyFunction [Identity a] #
FromJSON a => FromJSON (Identity a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Identity a) # parseJSONList :: Value -> Parser [Identity a] #
FromJSONKey a => FromJSONKey (Identity a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods fromJSONKey :: FromJSONKeyFunction (Identity a) # fromJSONKeyList :: FromJSONKeyFunction [Identity a] #
Storable a => Storable (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods sizeOf :: Identity a -> Int # alignment :: Identity a -> Int # peekElemOff :: Ptr (Identity a) -> Int -> IO (Identity a) # pokeElemOff :: Ptr (Identity a) -> Int -> Identity a -> IO () # peekByteOff :: Ptr b -> Int -> IO (Identity a) # pokeByteOff :: Ptr b -> Int -> Identity a -> IO () # peek :: Ptr (Identity a) -> IO (Identity a) # poke :: Ptr (Identity a) -> Identity a -> IO () #
Bits a => Bits (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods (.&.) :: Identity a -> Identity a -> Identity a # (.\|.) :: Identity a -> Identity a -> Identity a # xor :: Identity a -> Identity a -> Identity a # complement :: Identity a -> Identity a # shift :: Identity a -> Int -> Identity a # rotate :: Identity a -> Int -> Identity a # zeroBits :: Identity a # bit :: Int -> Identity a # setBit :: Identity a -> Int -> Identity a # clearBit :: Identity a -> Int -> Identity a # complementBit :: Identity a -> Int -> Identity a # testBit :: Identity a -> Int -> Bool # bitSizeMaybe :: Identity a -> Maybe Int # bitSize :: Identity a -> Int # isSigned :: Identity a -> Bool # shiftL :: Identity a -> Int -> Identity a # unsafeShiftL :: Identity a -> Int -> Identity a # shiftR :: Identity a -> Int -> Identity a # unsafeShiftR :: Identity a -> Int -> Identity a # rotateL :: Identity a -> Int -> Identity a # rotateR :: Identity a -> Int -> Identity a # popCount :: Identity a -> Int #
FiniteBits a => FiniteBits (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods finiteBitSize :: Identity a -> Int # countLeadingZeros :: Identity a -> Int # countTrailingZeros :: Identity a -> Int #
NFData a => NFData (Identity a)	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Identity a -> () #
Ixed (Identity a)
Instance details Defined in Control.Lens.At Methods ix :: Index (Identity a) -> Traversal' (Identity a) (IxValue (Identity a)) #
Wrapped (Identity a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Identity a) :: Type # Methods _Wrapped' :: Iso' (Identity a) (Unwrapped (Identity a)) #
Generic1 Identity
Instance details Defined in Data.Functor.Identity Associated Types type Rep1 Identity :: k -> Type # Methods from1 :: Identity a -> Rep1 Identity a # to1 :: Rep1 Identity a -> Identity a #
t ~ Identity b => Rewrapped (Identity a) t
Instance details Defined in Control.Lens.Wrapped
Field1 (Identity a) (Identity b) a b
Instance details Defined in Control.Lens.Tuple Methods _1 :: Lens (Identity a) (Identity b) a b #
type Rep Identity
Instance details Defined in Data.Functor.Rep type Rep Identity = ()
type StM Identity a
Instance details Defined in Control.Monad.Trans.Control type StM Identity a = a
type Rep (Identity a)	Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity type Rep (Identity a) = D1 (MetaData "Identity" "Data.Functor.Identity" "base" True) (C1 (MetaCons "Identity" PrefixI True) (S1 (MetaSel (Just "runIdentity") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 a)))
type Index (Identity a)
Instance details Defined in Control.Lens.At type Index (Identity a) = ()
type IxValue (Identity a)
Instance details Defined in Control.Lens.At type IxValue (Identity a) = a
type Unwrapped (Identity a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Identity a) = a
type Rep1 Identity	Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity type Rep1 Identity = D1 (MetaData "Identity" "Data.Functor.Identity" "base" True) (C1 (MetaCons "Identity" PrefixI True) (S1 (MetaSel (Just "runIdentity") NoSourceUnpackedness NoSourceStrictness DecidedLazy) Par1))

withFile :: FilePath -> IOMode -> (Handle -> IO r) -> IO r #

withFile name mode act opens a file using openFile and passes the resulting handle to the computation act. The handle will be closed on exit from withFile, whether by normal termination or by raising an exception. If closing the handle raises an exception, then this exception will be raised by withFile rather than any exception raised by act.

openFile :: FilePath -> IOMode -> IO Handle #

Computation openFile file mode allocates and returns a new, open handle to manage the file file. It manages input if mode is ReadMode, output if mode is WriteMode or AppendMode, and both input and output if mode is ReadWriteMode.

If the file does not exist and it is opened for output, it should be created as a new file. If mode is WriteMode and the file already exists, then it should be truncated to zero length. Some operating systems delete empty files, so there is no guarantee that the file will exist following an openFile with mode WriteMode unless it is subsequently written to successfully. The handle is positioned at the end of the file if mode is AppendMode, and otherwise at the beginning (in which case its internal position is 0). The initial buffer mode is implementation-dependent.

This operation may fail with:

isAlreadyInUseError if the file is already open and cannot be reopened;
isDoesNotExistError if the file does not exist; or
isPermissionError if the user does not have permission to open the file.

Note: if you will be working with files containing binary data, you'll want to be using openBinaryFile.

stderr :: Handle #

A handle managing output to the Haskell program's standard error channel.

stdin :: Handle #

A handle managing input from the Haskell program's standard input channel.

threadDelay :: Int -> IO () #

Suspends the current thread for a given number of microseconds (GHC only).

There is no guarantee that the thread will be rescheduled promptly when the delay has expired, but the thread will never continue to run earlier than specified.

mkWeakMVar :: MVar a -> IO () -> IO (Weak (MVar a)) #

Make a Weak pointer to an MVar, using the second argument as a finalizer to run when MVar is garbage-collected

Since: base-4.6.0.0

addMVarFinalizer :: MVar a -> IO () -> IO () #

modifyMVarMasked :: MVar a -> (a -> IO (a, b)) -> IO b #

Like modifyMVar, but the IO action in the second argument is executed with asynchronous exceptions masked.

Since: base-4.6.0.0

modifyMVarMasked_ :: MVar a -> (a -> IO a) -> IO () #

Like modifyMVar_, but the IO action in the second argument is executed with asynchronous exceptions masked.

Since: base-4.6.0.0

modifyMVar :: MVar a -> (a -> IO (a, b)) -> IO b #

A slight variation on modifyMVar_ that allows a value to be returned (b) in addition to the modified value of the MVar.

modifyMVar_ :: MVar a -> (a -> IO a) -> IO () #

An exception-safe wrapper for modifying the contents of an MVar. Like withMVar, modifyMVar will replace the original contents of the MVar if an exception is raised during the operation. This function is only atomic if there are no other producers for this MVar.

withMVarMasked :: MVar a -> (a -> IO b) -> IO b #

Like withMVar, but the IO action in the second argument is executed with asynchronous exceptions masked.

Since: base-4.7.0.0

withMVar :: MVar a -> (a -> IO b) -> IO b #

withMVar is an exception-safe wrapper for operating on the contents of an MVar. This operation is exception-safe: it will replace the original contents of the MVar if an exception is raised (see Control.Exception). However, it is only atomic if there are no other producers for this MVar.

swapMVar :: MVar a -> a -> IO a #

Take a value from an MVar, put a new value into the MVar and return the value taken. This function is atomic only if there are no other producers for this MVar.

withFrozenCallStack :: HasCallStack => (HasCallStack -> a) -> a #

Perform some computation without adding new entries to the CallStack.

Since: base-4.9.0.0

callStack :: HasCallStack -> CallStack #

Return the current CallStack.

Does *not* include the call-site of callStack.

Since: base-4.9.0.0

allowInterrupt :: IO () #

When invoked inside mask, this function allows a masked asynchronous exception to be raised, if one exists. It is equivalent to performing an interruptible operation (see #interruptible), but does not involve any actual blocking.

When called outside mask, or inside uninterruptibleMask, this function has no effect.

Since: base-4.4.0.0

fixST :: (a -> ST s a) -> ST s a #

Allow the result of a state transformer computation to be used (lazily) inside the computation.

Note that if f is strict, fixST f = _|_.

bracketOnError #

Arguments

:: IO a	computation to run first ("acquire resource")
-> (a -> IO b)	computation to run last ("release resource")
-> (a -> IO c)	computation to run in-between
-> IO c

Like bracket, but only performs the final action if there was an exception raised by the in-between computation.

bracket_ :: IO a -> IO b -> IO c -> IO c #

A variant of bracket where the return value from the first computation is not required.

finally #

Arguments

:: IO a	computation to run first
-> IO b	computation to run afterward (even if an exception was raised)
-> IO a

A specialised variant of bracket with just a computation to run afterward.

bracket #

Arguments

:: IO a	computation to run first ("acquire resource")
-> (a -> IO b)	computation to run last ("release resource")
-> (a -> IO c)	computation to run in-between
-> IO c

When you want to acquire a resource, do some work with it, and then release the resource, it is a good idea to use bracket, because bracket will install the necessary exception handler to release the resource in the event that an exception is raised during the computation. If an exception is raised, then bracket will re-raise the exception (after performing the release).

A common example is opening a file:

bracket
  (openFile "filename" ReadMode)
  (hClose)
  (\fileHandle -> do { ... })

The arguments to bracket are in this order so that we can partially apply it, e.g.:

withFile name mode = bracket (openFile name mode) hClose

onException :: IO a -> IO b -> IO a #

Like finally, but only performs the final action if there was an exception raised by the computation.

tryJust :: Exception e => (e -> Maybe b) -> IO a -> IO (Either b a) #

A variant of try that takes an exception predicate to select which exceptions are caught (c.f. catchJust). If the exception does not match the predicate, it is re-thrown.

mapException :: (Exception e1, Exception e2) => (e1 -> e2) -> a -> a #

This function maps one exception into another as proposed in the paper "A semantics for imprecise exceptions".

handleJust :: Exception e => (e -> Maybe b) -> (b -> IO a) -> IO a -> IO a #

A version of catchJust with the arguments swapped around (see handle).

catchJust #

Arguments

:: Exception e
=> (e -> Maybe b)	Predicate to select exceptions
-> IO a	Computation to run
-> (b -> IO a)	Handler
-> IO a

The function catchJust is like catch, but it takes an extra argument which is an exception predicate, a function which selects which type of exceptions we're interested in.

catchJust (\e -> if isDoesNotExistErrorType (ioeGetErrorType e) then Just () else Nothing)
          (readFile f)
          (\_ -> do hPutStrLn stderr ("No such file: " ++ show f)
                    return "")

Any other exceptions which are not matched by the predicate are re-raised, and may be caught by an enclosing catch, catchJust, etc.

newtype PatternMatchFail #

A pattern match failed. The String gives information about the source location of the pattern.

Constructors

PatternMatchFail String

Instances

Show PatternMatchFail	Since: base-4.0
Instance details Defined in Control.Exception.Base Methods showsPrec :: Int -> PatternMatchFail -> ShowS # show :: PatternMatchFail -> String # showList :: [PatternMatchFail] -> ShowS #
Exception PatternMatchFail	Since: base-4.0
Instance details Defined in Control.Exception.Base Methods toException :: PatternMatchFail -> SomeException # fromException :: SomeException -> Maybe PatternMatchFail # displayException :: PatternMatchFail -> String #
Wrapped PatternMatchFail
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped PatternMatchFail :: Type # Methods _Wrapped' :: Iso' PatternMatchFail (Unwrapped PatternMatchFail) #
t ~ PatternMatchFail => Rewrapped PatternMatchFail t
Instance details Defined in Control.Lens.Wrapped
type Unwrapped PatternMatchFail
Instance details Defined in Control.Lens.Wrapped type Unwrapped PatternMatchFail = String

newtype RecSelError #

A record selector was applied to a constructor without the appropriate field. This can only happen with a datatype with multiple constructors, where some fields are in one constructor but not another. The String gives information about the source location of the record selector.

Constructors

RecSelError String

Instances

Show RecSelError	Since: base-4.0
Instance details Defined in Control.Exception.Base Methods showsPrec :: Int -> RecSelError -> ShowS # show :: RecSelError -> String # showList :: [RecSelError] -> ShowS #
Exception RecSelError	Since: base-4.0
Instance details Defined in Control.Exception.Base Methods toException :: RecSelError -> SomeException # fromException :: SomeException -> Maybe RecSelError # displayException :: RecSelError -> String #
Wrapped RecSelError
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped RecSelError :: Type # Methods _Wrapped' :: Iso' RecSelError (Unwrapped RecSelError) #
t ~ RecSelError => Rewrapped RecSelError t
Instance details Defined in Control.Lens.Wrapped
type Unwrapped RecSelError
Instance details Defined in Control.Lens.Wrapped type Unwrapped RecSelError = String

newtype RecConError #

An uninitialised record field was used. The String gives information about the source location where the record was constructed.

Constructors

RecConError String

Instances

Show RecConError	Since: base-4.0
Instance details Defined in Control.Exception.Base Methods showsPrec :: Int -> RecConError -> ShowS # show :: RecConError -> String # showList :: [RecConError] -> ShowS #
Exception RecConError	Since: base-4.0
Instance details Defined in Control.Exception.Base Methods toException :: RecConError -> SomeException # fromException :: SomeException -> Maybe RecConError # displayException :: RecConError -> String #
Wrapped RecConError
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped RecConError :: Type # Methods _Wrapped' :: Iso' RecConError (Unwrapped RecConError) #
t ~ RecConError => Rewrapped RecConError t
Instance details Defined in Control.Lens.Wrapped
type Unwrapped RecConError
Instance details Defined in Control.Lens.Wrapped type Unwrapped RecConError = String

newtype RecUpdError #

A record update was performed on a constructor without the appropriate field. This can only happen with a datatype with multiple constructors, where some fields are in one constructor but not another. The String gives information about the source location of the record update.

Constructors

RecUpdError String

Instances

Show RecUpdError	Since: base-4.0
Instance details Defined in Control.Exception.Base Methods showsPrec :: Int -> RecUpdError -> ShowS # show :: RecUpdError -> String # showList :: [RecUpdError] -> ShowS #
Exception RecUpdError	Since: base-4.0
Instance details Defined in Control.Exception.Base Methods toException :: RecUpdError -> SomeException # fromException :: SomeException -> Maybe RecUpdError # displayException :: RecUpdError -> String #
Wrapped RecUpdError
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped RecUpdError :: Type # Methods _Wrapped' :: Iso' RecUpdError (Unwrapped RecUpdError) #
t ~ RecUpdError => Rewrapped RecUpdError t
Instance details Defined in Control.Lens.Wrapped
type Unwrapped RecUpdError
Instance details Defined in Control.Lens.Wrapped type Unwrapped RecUpdError = String

newtype NoMethodError #

A class method without a definition (neither a default definition, nor a definition in the appropriate instance) was called. The String gives information about which method it was.

Constructors

NoMethodError String

Instances

Show NoMethodError	Since: base-4.0
Instance details Defined in Control.Exception.Base Methods showsPrec :: Int -> NoMethodError -> ShowS # show :: NoMethodError -> String # showList :: [NoMethodError] -> ShowS #
Exception NoMethodError	Since: base-4.0
Instance details Defined in Control.Exception.Base Methods toException :: NoMethodError -> SomeException # fromException :: SomeException -> Maybe NoMethodError # displayException :: NoMethodError -> String #
Wrapped NoMethodError
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped NoMethodError :: Type # Methods _Wrapped' :: Iso' NoMethodError (Unwrapped NoMethodError) #
t ~ NoMethodError => Rewrapped NoMethodError t
Instance details Defined in Control.Lens.Wrapped
type Unwrapped NoMethodError
Instance details Defined in Control.Lens.Wrapped type Unwrapped NoMethodError = String

newtype TypeError #

An expression that didn't typecheck during compile time was called. This is only possible with -fdefer-type-errors. The String gives details about the failed type check.

Since: base-4.9.0.0

Constructors

TypeError String

Instances

Show TypeError	Since: base-4.9.0.0
Instance details Defined in Control.Exception.Base Methods showsPrec :: Int -> TypeError -> ShowS # show :: TypeError -> String # showList :: [TypeError] -> ShowS #
Exception TypeError	Since: base-4.9.0.0
Instance details Defined in Control.Exception.Base Methods toException :: TypeError -> SomeException # fromException :: SomeException -> Maybe TypeError # displayException :: TypeError -> String #
Wrapped TypeError
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped TypeError :: Type # Methods _Wrapped' :: Iso' TypeError (Unwrapped TypeError) #
t ~ TypeError => Rewrapped TypeError t
Instance details Defined in Control.Lens.Wrapped
type Unwrapped TypeError
Instance details Defined in Control.Lens.Wrapped type Unwrapped TypeError = String

data NonTermination #

Thrown when the runtime system detects that the computation is guaranteed not to terminate. Note that there is no guarantee that the runtime system will notice whether any given computation is guaranteed to terminate or not.

Constructors

NonTermination

Instances

Show NonTermination	Since: base-4.0
Instance details Defined in Control.Exception.Base Methods showsPrec :: Int -> NonTermination -> ShowS # show :: NonTermination -> String # showList :: [NonTermination] -> ShowS #
Exception NonTermination	Since: base-4.0
Instance details Defined in Control.Exception.Base Methods toException :: NonTermination -> SomeException # fromException :: SomeException -> Maybe NonTermination # displayException :: NonTermination -> String #

data NestedAtomically #

Thrown when the program attempts to call atomically, from the stm package, inside another call to atomically.

Constructors

NestedAtomically

Instances

Show NestedAtomically	Since: base-4.0
Instance details Defined in Control.Exception.Base Methods showsPrec :: Int -> NestedAtomically -> ShowS # show :: NestedAtomically -> String # showList :: [NestedAtomically] -> ShowS #
Exception NestedAtomically	Since: base-4.0
Instance details Defined in Control.Exception.Base Methods toException :: NestedAtomically -> SomeException # fromException :: SomeException -> Maybe NestedAtomically # displayException :: NestedAtomically -> String #

catchSTM :: Exception e => STM a -> (e -> STM a) -> STM a #

Exception handling within STM actions.

throwSTM :: Exception e => e -> STM a #

A variant of throw that can only be used within the STM monad.

Throwing an exception in STM aborts the transaction and propagates the exception.

Although throwSTM has a type that is an instance of the type of throw, the two functions are subtly different:

throw e    `seq` x  ===> throw e
throwSTM e `seq` x  ===> x

The first example will cause the exception e to be raised, whereas the second one won't. In fact, throwSTM will only cause an exception to be raised when it is used within the STM monad. The throwSTM variant should be used in preference to throw to raise an exception within the STM monad because it guarantees ordering with respect to other STM operations, whereas throw does not.

orElse :: STM a -> STM a -> STM a #

Compose two alternative STM actions (GHC only).

If the first action completes without retrying then it forms the result of the orElse. Otherwise, if the first action retries, then the second action is tried in its place. If both actions retry then the orElse as a whole retries.

retry :: STM a #

Retry execution of the current memory transaction because it has seen values in TVars which mean that it should not continue (e.g. the TVars represent a shared buffer that is now empty). The implementation may block the thread until one of the TVars that it has read from has been updated. (GHC only)

atomically :: STM a -> IO a #

Perform a series of STM actions atomically.

Using atomically inside an unsafePerformIO or unsafeInterleaveIO subverts some of guarantees that STM provides. It makes it possible to run a transaction inside of another transaction, depending on when the thunk is evaluated. If a nested transaction is attempted, an exception is thrown by the runtime. It is possible to safely use atomically inside unsafePerformIO or unsafeInterleaveIO, but the typechecker does not rule out programs that may attempt nested transactions, meaning that the programmer must take special care to prevent these.

However, there are functions for creating transactional variables that can always be safely called in unsafePerformIO. See: newTVarIO, newTChanIO, newBroadcastTChanIO, newTQueueIO, newTBQueueIO, and newTMVarIO.

Using unsafePerformIO inside of atomically is also dangerous but for different reasons. See unsafeIOToSTM for more on this.

mkWeakThreadId :: ThreadId -> IO (Weak ThreadId) #

Make a weak pointer to a ThreadId. It can be important to do this if you want to hold a reference to a ThreadId while still allowing the thread to receive the BlockedIndefinitely family of exceptions (e.g. BlockedIndefinitelyOnMVar). Holding a normal ThreadId reference will prevent the delivery of BlockedIndefinitely exceptions because the reference could be used as the target of throwTo at any time, which would unblock the thread.

Holding a Weak ThreadId, on the other hand, will not prevent the thread from receiving BlockedIndefinitely exceptions. It is still possible to throw an exception to a Weak ThreadId, but the caller must use deRefWeak first to determine whether the thread still exists.

Since: base-4.6.0.0

threadCapability :: ThreadId -> IO (Int, Bool) #

Returns the number of the capability on which the thread is currently running, and a boolean indicating whether the thread is locked to that capability or not. A thread is locked to a capability if it was created with forkOn.

Since: base-4.4.0.0

myThreadId :: IO ThreadId #

Returns the ThreadId of the calling thread (GHC only).

killThread :: ThreadId -> IO () #

killThread raises the ThreadKilled exception in the given thread (GHC only).

killThread tid = throwTo tid ThreadKilled

setNumCapabilities :: Int -> IO () #

Set the number of Haskell threads that can run truly simultaneously (on separate physical processors) at any given time. The number passed to forkOn is interpreted modulo this value. The initial value is given by the +RTS -N runtime flag.

This is also the number of threads that will participate in parallel garbage collection. It is strongly recommended that the number of capabilities is not set larger than the number of physical processor cores, and it may often be beneficial to leave one or more cores free to avoid contention with other processes in the machine.

Since: base-4.5.0.0

getNumCapabilities :: IO Int #

Returns the number of Haskell threads that can run truly simultaneously (on separate physical processors) at any given time. To change this value, use setNumCapabilities.

Since: base-4.4.0.0

forkIO :: IO () -> IO ThreadId #

Creates a new thread to run the IO computation passed as the first argument, and returns the ThreadId of the newly created thread.

The new thread will be a lightweight, unbound thread. Foreign calls made by this thread are not guaranteed to be made by any particular OS thread; if you need foreign calls to be made by a particular OS thread, then use forkOS instead.

The new thread inherits the masked state of the parent (see mask).

The newly created thread has an exception handler that discards the exceptions BlockedIndefinitelyOnMVar, BlockedIndefinitelyOnSTM, and ThreadKilled, and passes all other exceptions to the uncaught exception handler.

data STM a #

A monad supporting atomic memory transactions.

Instances

Monad STM	Since: base-4.3.0.0
Instance details Defined in GHC.Conc.Sync Methods (>>=) :: STM a -> (a -> STM b) -> STM b # (>>) :: STM a -> STM b -> STM b # return :: a -> STM a # fail :: String -> STM a #
Functor STM	Since: base-4.3.0.0
Instance details Defined in GHC.Conc.Sync Methods fmap :: (a -> b) -> STM a -> STM b # (<$) :: a -> STM b -> STM a #
Applicative STM	Since: base-4.8.0.0
Instance details Defined in GHC.Conc.Sync Methods pure :: a -> STM a # (<>) :: STM (a -> b) -> STM a -> STM b # liftA2 :: (a -> b -> c) -> STM a -> STM b -> STM c # (>) :: STM a -> STM b -> STM b # (<*) :: STM a -> STM b -> STM a #
MonadPlus STM	Since: base-4.3.0.0
Instance details Defined in GHC.Conc.Sync Methods mzero :: STM a # mplus :: STM a -> STM a -> STM a #
Alternative STM	Since: base-4.8.0.0
Instance details Defined in GHC.Conc.Sync Methods empty :: STM a # (<\|>) :: STM a -> STM a -> STM a # some :: STM a -> STM [a] # many :: STM a -> STM [a] #
MonadThrow STM
Instance details Defined in Control.Monad.Catch Methods throwM :: Exception e => e -> STM a #
MonadCatch STM
Instance details Defined in Control.Monad.Catch Methods catch :: Exception e => STM a -> (e -> STM a) -> STM a #
MonadBaseControl STM STM
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM STM a :: Type # Methods liftBaseWith :: (RunInBase STM STM -> STM a) -> STM a # restoreM :: StM STM a -> STM a #
type StM STM a
Instance details Defined in Control.Monad.Trans.Control type StM STM a = a

ioError :: IOError -> IO a #

Raise an IOException in the IO monad.

asyncExceptionFromException :: Exception e => SomeException -> Maybe e #

Since: base-4.7.0.0

asyncExceptionToException :: Exception e => e -> SomeException #

Since: base-4.7.0.0

data BlockedIndefinitelyOnMVar #

The thread is blocked on an MVar, but there are no other references to the MVar so it can't ever continue.

Constructors

BlockedIndefinitelyOnMVar

Instances

Show BlockedIndefinitelyOnMVar	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods showsPrec :: Int -> BlockedIndefinitelyOnMVar -> ShowS # show :: BlockedIndefinitelyOnMVar -> String # showList :: [BlockedIndefinitelyOnMVar] -> ShowS #
Exception BlockedIndefinitelyOnMVar	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods toException :: BlockedIndefinitelyOnMVar -> SomeException # fromException :: SomeException -> Maybe BlockedIndefinitelyOnMVar # displayException :: BlockedIndefinitelyOnMVar -> String #

data BlockedIndefinitelyOnSTM #

The thread is waiting to retry an STM transaction, but there are no other references to any TVars involved, so it can't ever continue.

Constructors

BlockedIndefinitelyOnSTM

Instances

Show BlockedIndefinitelyOnSTM	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods showsPrec :: Int -> BlockedIndefinitelyOnSTM -> ShowS # show :: BlockedIndefinitelyOnSTM -> String # showList :: [BlockedIndefinitelyOnSTM] -> ShowS #
Exception BlockedIndefinitelyOnSTM	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods toException :: BlockedIndefinitelyOnSTM -> SomeException # fromException :: SomeException -> Maybe BlockedIndefinitelyOnSTM # displayException :: BlockedIndefinitelyOnSTM -> String #

data Deadlock #

There are no runnable threads, so the program is deadlocked. The Deadlock exception is raised in the main thread only.

Constructors

Deadlock

Instances

Show Deadlock	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods showsPrec :: Int -> Deadlock -> ShowS # show :: Deadlock -> String # showList :: [Deadlock] -> ShowS #
Exception Deadlock	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods toException :: Deadlock -> SomeException # fromException :: SomeException -> Maybe Deadlock # displayException :: Deadlock -> String #

data AllocationLimitExceeded #

This thread has exceeded its allocation limit. See setAllocationCounter and enableAllocationLimit.

Since: base-4.8.0.0

Constructors

AllocationLimitExceeded

Instances

Show AllocationLimitExceeded	Since: base-4.7.1.0
Instance details Defined in GHC.IO.Exception Methods showsPrec :: Int -> AllocationLimitExceeded -> ShowS # show :: AllocationLimitExceeded -> String # showList :: [AllocationLimitExceeded] -> ShowS #
Exception AllocationLimitExceeded	Since: base-4.8.0.0
Instance details Defined in GHC.IO.Exception Methods toException :: AllocationLimitExceeded -> SomeException # fromException :: SomeException -> Maybe AllocationLimitExceeded # displayException :: AllocationLimitExceeded -> String #

newtype CompactionFailed #

Compaction found an object that cannot be compacted. Functions cannot be compacted, nor can mutable objects or pinned objects. See compact.

Since: base-4.10.0.0

Constructors

CompactionFailed String

Instances

Show CompactionFailed	Since: base-4.10.0.0
Instance details Defined in GHC.IO.Exception Methods showsPrec :: Int -> CompactionFailed -> ShowS # show :: CompactionFailed -> String # showList :: [CompactionFailed] -> ShowS #
Exception CompactionFailed	Since: base-4.10.0.0
Instance details Defined in GHC.IO.Exception Methods toException :: CompactionFailed -> SomeException # fromException :: SomeException -> Maybe CompactionFailed # displayException :: CompactionFailed -> String #
Wrapped CompactionFailed
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped CompactionFailed :: Type # Methods _Wrapped' :: Iso' CompactionFailed (Unwrapped CompactionFailed) #
t ~ CompactionFailed => Rewrapped CompactionFailed t
Instance details Defined in Control.Lens.Wrapped
type Unwrapped CompactionFailed
Instance details Defined in Control.Lens.Wrapped type Unwrapped CompactionFailed = String

newtype AssertionFailed #

assert was applied to False.

Constructors

AssertionFailed String

Instances

Show AssertionFailed	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods showsPrec :: Int -> AssertionFailed -> ShowS # show :: AssertionFailed -> String # showList :: [AssertionFailed] -> ShowS #
Exception AssertionFailed	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods toException :: AssertionFailed -> SomeException # fromException :: SomeException -> Maybe AssertionFailed # displayException :: AssertionFailed -> String #
Wrapped AssertionFailed
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped AssertionFailed :: Type # Methods _Wrapped' :: Iso' AssertionFailed (Unwrapped AssertionFailed) #
t ~ AssertionFailed => Rewrapped AssertionFailed t
Instance details Defined in Control.Lens.Wrapped
type Unwrapped AssertionFailed
Instance details Defined in Control.Lens.Wrapped type Unwrapped AssertionFailed = String

data SomeAsyncException where #

Superclass for asynchronous exceptions.

Since: base-4.7.0.0

Constructors

SomeAsyncException :: forall e. Exception e => e -> SomeAsyncException

Instances

Show SomeAsyncException	Since: base-4.7.0.0
Instance details Defined in GHC.IO.Exception Methods showsPrec :: Int -> SomeAsyncException -> ShowS # show :: SomeAsyncException -> String # showList :: [SomeAsyncException] -> ShowS #
Exception SomeAsyncException	Since: base-4.7.0.0
Instance details Defined in GHC.IO.Exception Methods toException :: SomeAsyncException -> SomeException # fromException :: SomeException -> Maybe SomeAsyncException # displayException :: SomeAsyncException -> String #

data AsyncException #

Asynchronous exceptions.

Constructors

StackOverflow	The current thread's stack exceeded its limit. Since an exception has been raised, the thread's stack will certainly be below its limit again, but the programmer should take remedial action immediately.
HeapOverflow	The program's heap is reaching its limit, and the program should take action to reduce the amount of live data it has. Notes: It is undefined which thread receives this exception. GHC currently throws this to the same thread that receives `UserInterrupt`, but this may change in the future. The GHC RTS currently can only recover from heap overflow if it detects that an explicit memory limit (set via RTS flags). has been exceeded. Currently, failure to allocate memory from the operating system results in immediate termination of the program.
ThreadKilled	This exception is raised by another thread calling `killThread`, or by the system if it needs to terminate the thread for some reason.
UserInterrupt	This exception is raised by default in the main thread of the program when the user requests to terminate the program via the usual mechanism(s) (e.g. Control-C in the console).

Instances

Eq AsyncException	Since: base-4.2.0.0
Instance details Defined in GHC.IO.Exception Methods (==) :: AsyncException -> AsyncException -> Bool # (/=) :: AsyncException -> AsyncException -> Bool #
Ord AsyncException	Since: base-4.2.0.0
Instance details Defined in GHC.IO.Exception Methods compare :: AsyncException -> AsyncException -> Ordering # (<) :: AsyncException -> AsyncException -> Bool # (<=) :: AsyncException -> AsyncException -> Bool # (>) :: AsyncException -> AsyncException -> Bool # (>=) :: AsyncException -> AsyncException -> Bool # max :: AsyncException -> AsyncException -> AsyncException # min :: AsyncException -> AsyncException -> AsyncException #
Show AsyncException	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods showsPrec :: Int -> AsyncException -> ShowS # show :: AsyncException -> String # showList :: [AsyncException] -> ShowS #
Exception AsyncException	Since: base-4.7.0.0
Instance details Defined in GHC.IO.Exception Methods toException :: AsyncException -> SomeException # fromException :: SomeException -> Maybe AsyncException # displayException :: AsyncException -> String #

data ArrayException #

Exceptions generated by array operations

Constructors

IndexOutOfBounds String	An attempt was made to index an array outside its declared bounds.
UndefinedElement String	An attempt was made to evaluate an element of an array that had not been initialized.

Instances

Eq ArrayException	Since: base-4.2.0.0
Instance details Defined in GHC.IO.Exception Methods (==) :: ArrayException -> ArrayException -> Bool # (/=) :: ArrayException -> ArrayException -> Bool #
Ord ArrayException	Since: base-4.2.0.0
Instance details Defined in GHC.IO.Exception Methods compare :: ArrayException -> ArrayException -> Ordering # (<) :: ArrayException -> ArrayException -> Bool # (<=) :: ArrayException -> ArrayException -> Bool # (>) :: ArrayException -> ArrayException -> Bool # (>=) :: ArrayException -> ArrayException -> Bool # max :: ArrayException -> ArrayException -> ArrayException # min :: ArrayException -> ArrayException -> ArrayException #
Show ArrayException	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods showsPrec :: Int -> ArrayException -> ShowS # show :: ArrayException -> String # showList :: [ArrayException] -> ShowS #
Exception ArrayException	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods toException :: ArrayException -> SomeException # fromException :: SomeException -> Maybe ArrayException # displayException :: ArrayException -> String #

data ExitCode #

Defines the exit codes that a program can return.

Constructors

ExitSuccess	indicates successful termination;
ExitFailure Int	indicates program failure with an exit code. The exact interpretation of the code is operating-system dependent. In particular, some values may be prohibited (e.g. 0 on a POSIX-compliant system).

Instances

Eq ExitCode
Instance details Defined in GHC.IO.Exception Methods (==) :: ExitCode -> ExitCode -> Bool # (/=) :: ExitCode -> ExitCode -> Bool #
Ord ExitCode
Instance details Defined in GHC.IO.Exception Methods compare :: ExitCode -> ExitCode -> Ordering # (<) :: ExitCode -> ExitCode -> Bool # (<=) :: ExitCode -> ExitCode -> Bool # (>) :: ExitCode -> ExitCode -> Bool # (>=) :: ExitCode -> ExitCode -> Bool # max :: ExitCode -> ExitCode -> ExitCode # min :: ExitCode -> ExitCode -> ExitCode #
Read ExitCode
Instance details Defined in GHC.IO.Exception Methods readsPrec :: Int -> ReadS ExitCode # readList :: ReadS [ExitCode] # readPrec :: ReadPrec ExitCode # readListPrec :: ReadPrec [ExitCode] #
Show ExitCode
Instance details Defined in GHC.IO.Exception Methods showsPrec :: Int -> ExitCode -> ShowS # show :: ExitCode -> String # showList :: [ExitCode] -> ShowS #
Generic ExitCode
Instance details Defined in GHC.IO.Exception Associated Types type Rep ExitCode :: Type -> Type # Methods from :: ExitCode -> Rep ExitCode x # to :: Rep ExitCode x -> ExitCode #
Exception ExitCode	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods toException :: ExitCode -> SomeException # fromException :: SomeException -> Maybe ExitCode # displayException :: ExitCode -> String #
NFData ExitCode	Since: deepseq-1.4.2.0
Instance details Defined in Control.DeepSeq Methods rnf :: ExitCode -> () #
type Rep ExitCode
Instance details Defined in GHC.IO.Exception type Rep ExitCode = D1 (MetaData "ExitCode" "GHC.IO.Exception" "base" False) (C1 (MetaCons "ExitSuccess" PrefixI False) (U1 :: Type -> Type) :+: C1 (MetaCons "ExitFailure" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 Int)))

stdout :: Handle #

A handle managing output to the Haskell program's standard output channel.

evaluate :: a -> IO a #

Evaluate the argument to weak head normal form.

evaluate is typically used to uncover any exceptions that a lazy value may contain, and possibly handle them.

evaluate only evaluates to weak head normal form. If deeper evaluation is needed, the force function from Control.DeepSeq may be handy:

evaluate $ force x

There is a subtle difference between evaluate x and return $! x, analogous to the difference between throwIO and throw. If the lazy value x throws an exception, return $! x will fail to return an IO action and will throw an exception instead. evaluate x, on the other hand, always produces an IO action; that action will throw an exception upon execution iff x throws an exception upon evaluation.

The practical implication of this difference is that due to the imprecise exceptions semantics,

(return $! error "foo") >> error "bar"

may throw either "foo" or "bar", depending on the optimizations performed by the compiler. On the other hand,

evaluate (error "foo") >> error "bar"

is guaranteed to throw "foo".

The rule of thumb is to use evaluate to force or handle exceptions in lazy values. If, on the other hand, you are forcing a lazy value for efficiency reasons only and do not care about exceptions, you may use return $! x.

uninterruptibleMask :: ((forall a. IO a -> IO a) -> IO b) -> IO b #

Like mask, but the masked computation is not interruptible (see Control.Exception). THIS SHOULD BE USED WITH GREAT CARE, because if a thread executing in uninterruptibleMask blocks for any reason, then the thread (and possibly the program, if this is the main thread) will be unresponsive and unkillable. This function should only be necessary if you need to mask exceptions around an interruptible operation, and you can guarantee that the interruptible operation will only block for a short period of time.

uninterruptibleMask_ :: IO a -> IO a #

Like uninterruptibleMask, but does not pass a restore action to the argument.

mask :: ((forall a. IO a -> IO a) -> IO b) -> IO b #

Executes an IO computation with asynchronous exceptions masked. That is, any thread which attempts to raise an exception in the current thread with throwTo will be blocked until asynchronous exceptions are unmasked again.

The argument passed to mask is a function that takes as its argument another function, which can be used to restore the prevailing masking state within the context of the masked computation. For example, a common way to use mask is to protect the acquisition of a resource:

mask $ \restore -> do
    x <- acquire
    restore (do_something_with x) `onException` release
    release

This code guarantees that acquire is paired with release, by masking asynchronous exceptions for the critical parts. (Rather than write this code yourself, it would be better to use bracket which abstracts the general pattern).

Note that the restore action passed to the argument to mask does not necessarily unmask asynchronous exceptions, it just restores the masking state to that of the enclosing context. Thus if asynchronous exceptions are already masked, mask cannot be used to unmask exceptions again. This is so that if you call a library function with exceptions masked, you can be sure that the library call will not be able to unmask exceptions again. If you are writing library code and need to use asynchronous exceptions, the only way is to create a new thread; see forkIOWithUnmask.

Asynchronous exceptions may still be received while in the masked state if the masked thread blocks in certain ways; see Control.Exception.

Threads created by forkIO inherit the MaskingState from the parent; that is, to start a thread in the MaskedInterruptible state, use mask_ $ forkIO .... This is particularly useful if you need to establish an exception handler in the forked thread before any asynchronous exceptions are received. To create a new thread in an unmasked state use forkIOWithUnmask.

mask_ :: IO a -> IO a #

Like mask, but does not pass a restore action to the argument.

getMaskingState :: IO MaskingState #

Returns the MaskingState for the current thread.

interruptible :: IO a -> IO a #

Allow asynchronous exceptions to be raised even inside mask, making the operation interruptible (see the discussion of "Interruptible operations" in Exception).

When called outside mask, or inside uninterruptibleMask, this function has no effect.

Since: base-4.9.0.0

type FilePath = String #

File and directory names are values of type String, whose precise meaning is operating system dependent. Files can be opened, yielding a handle which can then be used to operate on the contents of that file.

data MaskingState #

Describes the behaviour of a thread when an asynchronous exception is received.

Constructors

Unmasked	asynchronous exceptions are unmasked (the normal state)
MaskedInterruptible	the state during `mask`: asynchronous exceptions are masked, but blocking operations may still be interrupted
MaskedUninterruptible	the state during `uninterruptibleMask`: asynchronous exceptions are masked, and blocking operations may not be interrupted

Instances

Eq MaskingState	Since: base-4.3.0.0
Instance details Defined in GHC.IO Methods (==) :: MaskingState -> MaskingState -> Bool # (/=) :: MaskingState -> MaskingState -> Bool #
Show MaskingState	Since: base-4.3.0.0
Instance details Defined in GHC.IO Methods showsPrec :: Int -> MaskingState -> ShowS # show :: MaskingState -> String # showList :: [MaskingState] -> ShowS #
NFData MaskingState	Since: deepseq-1.4.4.0
Instance details Defined in Control.DeepSeq Methods rnf :: MaskingState -> () #

data IOException #

Exceptions that occur in the IO monad. An IOException records a more specific error type, a descriptive string and maybe the handle that was used when the error was flagged.

Instances

Eq IOException	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods (==) :: IOException -> IOException -> Bool # (/=) :: IOException -> IOException -> Bool #
Show IOException	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods showsPrec :: Int -> IOException -> ShowS # show :: IOException -> String # showList :: [IOException] -> ShowS #
Exception IOException	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods toException :: IOException -> SomeException # fromException :: SomeException -> Maybe IOException # displayException :: IOException -> String #
Error IOException
Instance details Defined in Control.Monad.Trans.Error Methods noMsg :: IOException # strMsg :: String -> IOException #
MonadError IOException IO
Instance details Defined in Control.Monad.Error.Class Methods throwError :: IOException -> IO a # catchError :: IO a -> (IOException -> IO a) -> IO a #

prettyCallStack :: CallStack -> String #

Pretty print a CallStack.

Since: base-4.9.0.0

prettySrcLoc :: SrcLoc -> String #

Pretty print a SrcLoc.

Since: base-4.9.0.0

data ErrorCall #

This is thrown when the user calls error. The first String is the argument given to error, second String is the location.

Constructors

ErrorCallWithLocation String String

Bundled Patterns

pattern ErrorCall :: String -> ErrorCall

Instances

Eq ErrorCall	Since: base-4.7.0.0
Instance details Defined in GHC.Exception Methods (==) :: ErrorCall -> ErrorCall -> Bool # (/=) :: ErrorCall -> ErrorCall -> Bool #
Ord ErrorCall	Since: base-4.7.0.0
Instance details Defined in GHC.Exception Methods compare :: ErrorCall -> ErrorCall -> Ordering # (<) :: ErrorCall -> ErrorCall -> Bool # (<=) :: ErrorCall -> ErrorCall -> Bool # (>) :: ErrorCall -> ErrorCall -> Bool # (>=) :: ErrorCall -> ErrorCall -> Bool # max :: ErrorCall -> ErrorCall -> ErrorCall # min :: ErrorCall -> ErrorCall -> ErrorCall #
Show ErrorCall	Since: base-4.0.0.0
Instance details Defined in GHC.Exception Methods showsPrec :: Int -> ErrorCall -> ShowS # show :: ErrorCall -> String # showList :: [ErrorCall] -> ShowS #
Exception ErrorCall	Since: base-4.0.0.0
Instance details Defined in GHC.Exception Methods toException :: ErrorCall -> SomeException # fromException :: SomeException -> Maybe ErrorCall # displayException :: ErrorCall -> String #
Wrapped ErrorCall
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped ErrorCall :: Type # Methods _Wrapped' :: Iso' ErrorCall (Unwrapped ErrorCall) #
t ~ ErrorCall => Rewrapped ErrorCall t
Instance details Defined in Control.Lens.Wrapped
type Unwrapped ErrorCall
Instance details Defined in Control.Lens.Wrapped type Unwrapped ErrorCall = String

class (Typeable e, Show e) => Exception e where #

Any type that you wish to throw or catch as an exception must be an instance of the Exception class. The simplest case is a new exception type directly below the root:

data MyException = ThisException | ThatException
    deriving Show

instance Exception MyException

The default method definitions in the Exception class do what we need in this case. You can now throw and catch ThisException and ThatException as exceptions:

*Main> throw ThisException `catch` \e -> putStrLn ("Caught " ++ show (e :: MyException))
Caught ThisException

In more complicated examples, you may wish to define a whole hierarchy of exceptions:

---------------------------------------------------------------------
-- Make the root exception type for all the exceptions in a compiler

data SomeCompilerException = forall e . Exception e => SomeCompilerException e

instance Show SomeCompilerException where
    show (SomeCompilerException e) = show e

instance Exception SomeCompilerException

compilerExceptionToException :: Exception e => e -> SomeException
compilerExceptionToException = toException . SomeCompilerException

compilerExceptionFromException :: Exception e => SomeException -> Maybe e
compilerExceptionFromException x = do
    SomeCompilerException a <- fromException x
    cast a

---------------------------------------------------------------------
-- Make a subhierarchy for exceptions in the frontend of the compiler

data SomeFrontendException = forall e . Exception e => SomeFrontendException e

instance Show SomeFrontendException where
    show (SomeFrontendException e) = show e

instance Exception SomeFrontendException where
    toException = compilerExceptionToException
    fromException = compilerExceptionFromException

frontendExceptionToException :: Exception e => e -> SomeException
frontendExceptionToException = toException . SomeFrontendException

frontendExceptionFromException :: Exception e => SomeException -> Maybe e
frontendExceptionFromException x = do
    SomeFrontendException a <- fromException x
    cast a

---------------------------------------------------------------------
-- Make an exception type for a particular frontend compiler exception

data MismatchedParentheses = MismatchedParentheses
    deriving Show

instance Exception MismatchedParentheses where
    toException   = frontendExceptionToException
    fromException = frontendExceptionFromException

We can now catch a MismatchedParentheses exception as MismatchedParentheses, SomeFrontendException or SomeCompilerException, but not other types, e.g. IOException:

*Main> throw MismatchedParentheses `catch` \e -> putStrLn ("Caught " ++ show (e :: MismatchedParentheses))
Caught MismatchedParentheses
*Main> throw MismatchedParentheses `catch` \e -> putStrLn ("Caught " ++ show (e :: SomeFrontendException))
Caught MismatchedParentheses
*Main> throw MismatchedParentheses `catch` \e -> putStrLn ("Caught " ++ show (e :: SomeCompilerException))
Caught MismatchedParentheses
*Main> throw MismatchedParentheses `catch` \e -> putStrLn ("Caught " ++ show (e :: IOException))
*** Exception: MismatchedParentheses

Minimal complete definition

Nothing

Methods

toException :: e -> SomeException #

fromException :: SomeException -> Maybe e #

displayException :: e -> String #

Render this exception value in a human-friendly manner.

Default implementation: show.

Since: base-4.8.0.0

Instances

Exception AsyncCancelled
Instance details Defined in Control.Concurrent.Async Methods toException :: AsyncCancelled -> SomeException # fromException :: SomeException -> Maybe AsyncCancelled # displayException :: AsyncCancelled -> String #
Exception ExceptionInLinkedThread
Instance details Defined in Control.Concurrent.Async Methods toException :: ExceptionInLinkedThread -> SomeException # fromException :: SomeException -> Maybe ExceptionInLinkedThread # displayException :: ExceptionInLinkedThread -> String #
Exception Void	Since: base-4.8.0.0
Instance details Defined in Data.Void Methods toException :: Void -> SomeException # fromException :: SomeException -> Maybe Void # displayException :: Void -> String #
Exception PatternMatchFail	Since: base-4.0
Instance details Defined in Control.Exception.Base Methods toException :: PatternMatchFail -> SomeException # fromException :: SomeException -> Maybe PatternMatchFail # displayException :: PatternMatchFail -> String #
Exception RecSelError	Since: base-4.0
Instance details Defined in Control.Exception.Base Methods toException :: RecSelError -> SomeException # fromException :: SomeException -> Maybe RecSelError # displayException :: RecSelError -> String #
Exception RecConError	Since: base-4.0
Instance details Defined in Control.Exception.Base Methods toException :: RecConError -> SomeException # fromException :: SomeException -> Maybe RecConError # displayException :: RecConError -> String #
Exception RecUpdError	Since: base-4.0
Instance details Defined in Control.Exception.Base Methods toException :: RecUpdError -> SomeException # fromException :: SomeException -> Maybe RecUpdError # displayException :: RecUpdError -> String #
Exception NoMethodError	Since: base-4.0
Instance details Defined in Control.Exception.Base Methods toException :: NoMethodError -> SomeException # fromException :: SomeException -> Maybe NoMethodError # displayException :: NoMethodError -> String #
Exception TypeError	Since: base-4.9.0.0
Instance details Defined in Control.Exception.Base Methods toException :: TypeError -> SomeException # fromException :: SomeException -> Maybe TypeError # displayException :: TypeError -> String #
Exception NonTermination	Since: base-4.0
Instance details Defined in Control.Exception.Base Methods toException :: NonTermination -> SomeException # fromException :: SomeException -> Maybe NonTermination # displayException :: NonTermination -> String #
Exception NestedAtomically	Since: base-4.0
Instance details Defined in Control.Exception.Base Methods toException :: NestedAtomically -> SomeException # fromException :: SomeException -> Maybe NestedAtomically # displayException :: NestedAtomically -> String #
Exception BlockedIndefinitelyOnMVar	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods toException :: BlockedIndefinitelyOnMVar -> SomeException # fromException :: SomeException -> Maybe BlockedIndefinitelyOnMVar # displayException :: BlockedIndefinitelyOnMVar -> String #
Exception BlockedIndefinitelyOnSTM	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods toException :: BlockedIndefinitelyOnSTM -> SomeException # fromException :: SomeException -> Maybe BlockedIndefinitelyOnSTM # displayException :: BlockedIndefinitelyOnSTM -> String #
Exception Deadlock	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods toException :: Deadlock -> SomeException # fromException :: SomeException -> Maybe Deadlock # displayException :: Deadlock -> String #
Exception AllocationLimitExceeded	Since: base-4.8.0.0
Instance details Defined in GHC.IO.Exception Methods toException :: AllocationLimitExceeded -> SomeException # fromException :: SomeException -> Maybe AllocationLimitExceeded # displayException :: AllocationLimitExceeded -> String #
Exception CompactionFailed	Since: base-4.10.0.0
Instance details Defined in GHC.IO.Exception Methods toException :: CompactionFailed -> SomeException # fromException :: SomeException -> Maybe CompactionFailed # displayException :: CompactionFailed -> String #
Exception AssertionFailed	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods toException :: AssertionFailed -> SomeException # fromException :: SomeException -> Maybe AssertionFailed # displayException :: AssertionFailed -> String #
Exception SomeAsyncException	Since: base-4.7.0.0
Instance details Defined in GHC.IO.Exception Methods toException :: SomeAsyncException -> SomeException # fromException :: SomeException -> Maybe SomeAsyncException # displayException :: SomeAsyncException -> String #
Exception AsyncException	Since: base-4.7.0.0
Instance details Defined in GHC.IO.Exception Methods toException :: AsyncException -> SomeException # fromException :: SomeException -> Maybe AsyncException # displayException :: AsyncException -> String #
Exception ArrayException	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods toException :: ArrayException -> SomeException # fromException :: SomeException -> Maybe ArrayException # displayException :: ArrayException -> String #
Exception FixIOException	Since: base-4.11.0.0
Instance details Defined in GHC.IO.Exception Methods toException :: FixIOException -> SomeException # fromException :: SomeException -> Maybe FixIOException # displayException :: FixIOException -> String #
Exception ExitCode	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods toException :: ExitCode -> SomeException # fromException :: SomeException -> Maybe ExitCode # displayException :: ExitCode -> String #
Exception IOException	Since: base-4.1.0.0
Instance details Defined in GHC.IO.Exception Methods toException :: IOException -> SomeException # fromException :: SomeException -> Maybe IOException # displayException :: IOException -> String #
Exception ErrorCall	Since: base-4.0.0.0
Instance details Defined in GHC.Exception Methods toException :: ErrorCall -> SomeException # fromException :: SomeException -> Maybe ErrorCall # displayException :: ErrorCall -> String #
Exception ArithException	Since: base-4.0.0.0
Instance details Defined in GHC.Exception.Type Methods toException :: ArithException -> SomeException # fromException :: SomeException -> Maybe ArithException # displayException :: ArithException -> String #
Exception SomeException	Since: base-3.0
Instance details Defined in GHC.Exception.Type Methods toException :: SomeException -> SomeException # fromException :: SomeException -> Maybe SomeException # displayException :: SomeException -> String #
Exception FatalError
Instance details Defined in Protolude.Panic Methods toException :: FatalError -> SomeException # fromException :: SomeException -> Maybe FatalError # displayException :: FatalError -> String #
Exception UnicodeException
Instance details Defined in Data.Text.Encoding.Error Methods toException :: UnicodeException -> SomeException # fromException :: SomeException -> Maybe UnicodeException # displayException :: UnicodeException -> String #

data ArithException #

Arithmetic exceptions.

Constructors

Overflow
Underflow
LossOfPrecision
DivideByZero
Denormal
RatioZeroDenominator	Since: base-4.6.0.0

Instances

Eq ArithException	Since: base-3.0
Instance details Defined in GHC.Exception.Type Methods (==) :: ArithException -> ArithException -> Bool # (/=) :: ArithException -> ArithException -> Bool #
Ord ArithException	Since: base-3.0
Instance details Defined in GHC.Exception.Type Methods compare :: ArithException -> ArithException -> Ordering # (<) :: ArithException -> ArithException -> Bool # (<=) :: ArithException -> ArithException -> Bool # (>) :: ArithException -> ArithException -> Bool # (>=) :: ArithException -> ArithException -> Bool # max :: ArithException -> ArithException -> ArithException # min :: ArithException -> ArithException -> ArithException #
Show ArithException	Since: base-4.0.0.0
Instance details Defined in GHC.Exception.Type Methods showsPrec :: Int -> ArithException -> ShowS # show :: ArithException -> String # showList :: [ArithException] -> ShowS #
Exception ArithException	Since: base-4.0.0.0
Instance details Defined in GHC.Exception.Type Methods toException :: ArithException -> SomeException # fromException :: SomeException -> Maybe ArithException # displayException :: ArithException -> String #

eqT :: (Typeable a, Typeable b) => Maybe (a :~: b) #

Extract a witness of equality of two types

Since: base-4.7.0.0

cast :: (Typeable a, Typeable b) => a -> Maybe b #

The type-safe cast operation

typeRep :: Typeable a => proxy a -> TypeRep #

Takes a value of type a and returns a concrete representation of that type.

Since: base-4.7.0.0

type TypeRep = SomeTypeRep #

A quantified type representation.

newtype Const a (b :: k) :: forall k. Type -> k -> Type #

The Const functor.

Constructors

Const
Fields getConst :: a

Instances

Generic1 (Const a :: k -> Type)
Instance details Defined in Data.Functor.Const Associated Types type Rep1 (Const a) :: k -> Type # Methods from1 :: Const a a0 -> Rep1 (Const a) a0 # to1 :: Rep1 (Const a) a0 -> Const a a0 #
ToJSON2 (Const :: Type -> Type -> Type)
Instance details Defined in Data.Aeson.Types.ToJSON Methods liftToJSON2 :: (a -> Value) -> ([a] -> Value) -> (b -> Value) -> ([b] -> Value) -> Const a b -> Value # liftToJSONList2 :: (a -> Value) -> ([a] -> Value) -> (b -> Value) -> ([b] -> Value) -> [Const a b] -> Value # liftToEncoding2 :: (a -> Encoding) -> ([a] -> Encoding) -> (b -> Encoding) -> ([b] -> Encoding) -> Const a b -> Encoding # liftToEncodingList2 :: (a -> Encoding) -> ([a] -> Encoding) -> (b -> Encoding) -> ([b] -> Encoding) -> [Const a b] -> Encoding #
FromJSON2 (Const :: Type -> Type -> Type)
Instance details Defined in Data.Aeson.Types.FromJSON Methods liftParseJSON2 :: (Value -> Parser a) -> (Value -> Parser [a]) -> (Value -> Parser b) -> (Value -> Parser [b]) -> Value -> Parser (Const a b) # liftParseJSONList2 :: (Value -> Parser a) -> (Value -> Parser [a]) -> (Value -> Parser b) -> (Value -> Parser [b]) -> Value -> Parser [Const a b] #
Bifunctor (Const :: Type -> Type -> Type)	Since: base-4.8.0.0
Instance details Defined in Data.Bifunctor Methods bimap :: (a -> b) -> (c -> d) -> Const a c -> Const b d # first :: (a -> b) -> Const a c -> Const b c # second :: (b -> c) -> Const a b -> Const a c #
Eq2 (Const :: Type -> Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftEq2 :: (a -> b -> Bool) -> (c -> d -> Bool) -> Const a c -> Const b d -> Bool #
Ord2 (Const :: Type -> Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftCompare2 :: (a -> b -> Ordering) -> (c -> d -> Ordering) -> Const a c -> Const b d -> Ordering #
Read2 (Const :: Type -> Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftReadsPrec2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> Int -> ReadS (Const a b) # liftReadList2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [Const a b] # liftReadPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (Const a b) # liftReadListPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [Const a b] #
Show2 (Const :: Type -> Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftShowsPrec2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> Int -> Const a b -> ShowS # liftShowList2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> [Const a b] -> ShowS #
NFData2 (Const :: Type -> Type -> Type)	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf2 :: (a -> ()) -> (b -> ()) -> Const a b -> () #
Hashable2 (Const :: Type -> Type -> Type)
Instance details Defined in Data.Hashable.Class Methods liftHashWithSalt2 :: (Int -> a -> Int) -> (Int -> b -> Int) -> Int -> Const a b -> Int #
Functor (Const m :: Type -> Type)	Since: base-2.1
Instance details Defined in Data.Functor.Const Methods fmap :: (a -> b) -> Const m a -> Const m b # (<$) :: a -> Const m b -> Const m a #
Monoid m => Applicative (Const m :: Type -> Type)	Since: base-2.0.1
Instance details Defined in Data.Functor.Const Methods pure :: a -> Const m a # (<>) :: Const m (a -> b) -> Const m a -> Const m b # liftA2 :: (a -> b -> c) -> Const m a -> Const m b -> Const m c # (>) :: Const m a -> Const m b -> Const m b # (<*) :: Const m a -> Const m b -> Const m a #
Foldable (Const m :: Type -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Functor.Const Methods fold :: Monoid m0 => Const m m0 -> m0 # foldMap :: Monoid m0 => (a -> m0) -> Const m a -> m0 # foldr :: (a -> b -> b) -> b -> Const m a -> b # foldr' :: (a -> b -> b) -> b -> Const m a -> b # foldl :: (b -> a -> b) -> b -> Const m a -> b # foldl' :: (b -> a -> b) -> b -> Const m a -> b # foldr1 :: (a -> a -> a) -> Const m a -> a # foldl1 :: (a -> a -> a) -> Const m a -> a # toList :: Const m a -> [a] # null :: Const m a -> Bool # length :: Const m a -> Int # elem :: Eq a => a -> Const m a -> Bool # maximum :: Ord a => Const m a -> a # minimum :: Ord a => Const m a -> a # sum :: Num a => Const m a -> a # product :: Num a => Const m a -> a #
Traversable (Const m :: Type -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Const m a -> f (Const m b) # sequenceA :: Applicative f => Const m (f a) -> f (Const m a) # mapM :: Monad m0 => (a -> m0 b) -> Const m a -> m0 (Const m b) # sequence :: Monad m0 => Const m (m0 a) -> m0 (Const m a) #
ToJSON a => ToJSON1 (Const a :: Type -> Type)
Instance details Defined in Data.Aeson.Types.ToJSON Methods liftToJSON :: (a0 -> Value) -> ([a0] -> Value) -> Const a a0 -> Value # liftToJSONList :: (a0 -> Value) -> ([a0] -> Value) -> [Const a a0] -> Value # liftToEncoding :: (a0 -> Encoding) -> ([a0] -> Encoding) -> Const a a0 -> Encoding # liftToEncodingList :: (a0 -> Encoding) -> ([a0] -> Encoding) -> [Const a a0] -> Encoding #
FromJSON a => FromJSON1 (Const a :: Type -> Type)
Instance details Defined in Data.Aeson.Types.FromJSON Methods liftParseJSON :: (Value -> Parser a0) -> (Value -> Parser [a0]) -> Value -> Parser (Const a a0) # liftParseJSONList :: (Value -> Parser a0) -> (Value -> Parser [a0]) -> Value -> Parser [Const a a0] #
Eq a => Eq1 (Const a :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftEq :: (a0 -> b -> Bool) -> Const a a0 -> Const a b -> Bool #
Ord a => Ord1 (Const a :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftCompare :: (a0 -> b -> Ordering) -> Const a a0 -> Const a b -> Ordering #
Read a => Read1 (Const a :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftReadsPrec :: (Int -> ReadS a0) -> ReadS [a0] -> Int -> ReadS (Const a a0) # liftReadList :: (Int -> ReadS a0) -> ReadS [a0] -> ReadS [Const a a0] # liftReadPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec (Const a a0) # liftReadListPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec [Const a a0] #
Show a => Show1 (Const a :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftShowsPrec :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> Int -> Const a a0 -> ShowS # liftShowList :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> [Const a a0] -> ShowS #
NFData a => NFData1 (Const a :: Type -> Type)	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf :: (a0 -> ()) -> Const a a0 -> () #
Hashable a => Hashable1 (Const a :: Type -> Type)
Instance details Defined in Data.Hashable.Class Methods liftHashWithSalt :: (Int -> a0 -> Int) -> Int -> Const a a0 -> Int #
Filterable (Const r :: Type -> Type)
Instance details Defined in Data.Witherable Methods mapMaybe :: (a -> Maybe b) -> Const r a -> Const r b # catMaybes :: Const r (Maybe a) -> Const r a # filter :: (a -> Bool) -> Const r a -> Const r a #
Witherable (Const r :: Type -> Type)
Instance details Defined in Data.Witherable Methods wither :: Applicative f => (a -> f (Maybe b)) -> Const r a -> f (Const r b) # witherM :: Monad m => (a -> m (Maybe b)) -> Const r a -> m (Const r b) # filterA :: Applicative f => (a -> f Bool) -> Const r a -> f (Const r a) #
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 #
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] #
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 #
Floating a => Floating (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods pi :: Const a b # exp :: Const a b -> Const a b # log :: Const a b -> Const a b # sqrt :: Const a b -> Const a b # (**) :: Const a b -> Const a b -> Const a b # logBase :: Const a b -> Const a b -> Const a b # sin :: Const a b -> Const a b # cos :: Const a b -> Const a b # tan :: Const a b -> Const a b # asin :: Const a b -> Const a b # acos :: Const a b -> Const a b # atan :: Const a b -> Const a b # sinh :: Const a b -> Const a b # cosh :: Const a b -> Const a b # tanh :: Const a b -> Const a b # asinh :: Const a b -> Const a b # acosh :: Const a b -> Const a b # atanh :: Const a b -> Const a b # log1p :: Const a b -> Const a b # expm1 :: Const a b -> Const a b # log1pexp :: Const a b -> Const a b # log1mexp :: Const a b -> Const a b #
Fractional a => Fractional (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods (/) :: Const a b -> Const a b -> Const a b # recip :: Const a b -> Const a b # fromRational :: Rational -> Const a b #
Integral a => Integral (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods quot :: Const a b -> Const a b -> Const a b # rem :: Const a b -> Const a b -> Const a b # div :: Const a b -> Const a b -> Const a b # mod :: Const a b -> Const a b -> Const a b # quotRem :: Const a b -> Const a b -> (Const a b, Const a b) # divMod :: Const a b -> Const a b -> (Const a b, Const a b) # toInteger :: Const a b -> Integer #
Num a => Num (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods (+) :: Const a b -> Const a b -> Const a b # (-) :: Const a b -> Const a b -> Const a b # (*) :: Const a b -> Const a b -> Const a b # negate :: Const a b -> Const a b # abs :: Const a b -> Const a b # signum :: Const a b -> Const a b # fromInteger :: Integer -> Const a b #
Ord a => Ord (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods compare :: Const a b -> Const a b -> Ordering # (<) :: Const a b -> Const a b -> Bool # (<=) :: Const a b -> Const a b -> Bool # (>) :: Const a b -> Const a b -> Bool # (>=) :: Const a b -> Const a b -> Bool # max :: Const a b -> Const a b -> Const a b # min :: Const a b -> Const a b -> Const a b #
Read a => Read (Const a b)	This instance would be equivalent to the derived instances of the `Const` newtype if the `runConst` field were removed Since: base-4.8.0.0
Instance details Defined in Data.Functor.Const Methods readsPrec :: Int -> ReadS (Const a b) # readList :: ReadS [Const a b] # readPrec :: ReadPrec (Const a b) # readListPrec :: ReadPrec [Const a b] #
Real a => Real (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods toRational :: Const a b -> Rational #
RealFloat a => RealFloat (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods floatRadix :: Const a b -> Integer # floatDigits :: Const a b -> Int # floatRange :: Const a b -> (Int, Int) # decodeFloat :: Const a b -> (Integer, Int) # encodeFloat :: Integer -> Int -> Const a b # exponent :: Const a b -> Int # significand :: Const a b -> Const a b # scaleFloat :: Int -> Const a b -> Const a b # isNaN :: Const a b -> Bool # isInfinite :: Const a b -> Bool # isDenormalized :: Const a b -> Bool # isNegativeZero :: Const a b -> Bool # isIEEE :: Const a b -> Bool # atan2 :: Const a b -> Const a b -> Const a b #
RealFrac a => RealFrac (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods properFraction :: Integral b0 => Const a b -> (b0, Const a b) # truncate :: Integral b0 => Const a b -> b0 # round :: Integral b0 => Const a b -> b0 # ceiling :: Integral b0 => Const a b -> b0 # floor :: Integral b0 => Const a b -> b0 #
Show a => Show (Const a b)	This instance would be equivalent to the derived instances of the `Const` newtype if the `runConst` field were removed Since: base-4.8.0.0
Instance details Defined in Data.Functor.Const Methods showsPrec :: Int -> Const a b -> ShowS # show :: Const a b -> String # showList :: [Const a b] -> ShowS #
Ix a => Ix (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods range :: (Const a b, Const a b) -> [Const a b] # index :: (Const a b, Const a b) -> Const a b -> Int # unsafeIndex :: (Const a b, Const a b) -> Const a b -> Int inRange :: (Const a b, Const a b) -> Const a b -> Bool # rangeSize :: (Const a b, Const a b) -> Int # unsafeRangeSize :: (Const a b, Const a b) -> Int
IsString a => IsString (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.String Methods fromString :: String -> Const a b #
Generic (Const a b)
Instance details Defined in Data.Functor.Const Associated Types type Rep (Const a b) :: Type -> Type # Methods from :: Const a b -> Rep (Const a b) x # to :: Rep (Const a b) x -> Const a b #
Semigroup a => Semigroup (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods (<>) :: Const a b -> Const a b -> Const a b # sconcat :: NonEmpty (Const a b) -> Const a b # stimes :: Integral b0 => b0 -> Const a b -> Const a b #
Monoid a => Monoid (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods mempty :: Const a b # mappend :: Const a b -> Const a b -> Const a b # mconcat :: [Const a b] -> Const a b #
Hashable a => Hashable (Const a b)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Const a b -> Int # hash :: Const a b -> Int #
ToJSON a => ToJSON (Const a b)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Const a b -> Value # toEncoding :: Const a b -> Encoding # toJSONList :: [Const a b] -> Value # toEncodingList :: [Const a b] -> Encoding #
FromJSON a => FromJSON (Const a b)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Const a b) # parseJSONList :: Value -> Parser [Const a b] #
Storable a => Storable (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods sizeOf :: Const a b -> Int # alignment :: Const a b -> Int # peekElemOff :: Ptr (Const a b) -> Int -> IO (Const a b) # pokeElemOff :: Ptr (Const a b) -> Int -> Const a b -> IO () # peekByteOff :: Ptr b0 -> Int -> IO (Const a b) # pokeByteOff :: Ptr b0 -> Int -> Const a b -> IO () # peek :: Ptr (Const a b) -> IO (Const a b) # poke :: Ptr (Const a b) -> Const a b -> IO () #
Bits a => Bits (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods (.&.) :: Const a b -> Const a b -> Const a b # (.\|.) :: Const a b -> Const a b -> Const a b # xor :: Const a b -> Const a b -> Const a b # complement :: Const a b -> Const a b # shift :: Const a b -> Int -> Const a b # rotate :: Const a b -> Int -> Const a b # zeroBits :: Const a b # bit :: Int -> Const a b # setBit :: Const a b -> Int -> Const a b # clearBit :: Const a b -> Int -> Const a b # complementBit :: Const a b -> Int -> Const a b # testBit :: Const a b -> Int -> Bool # bitSizeMaybe :: Const a b -> Maybe Int # bitSize :: Const a b -> Int # isSigned :: Const a b -> Bool # shiftL :: Const a b -> Int -> Const a b # unsafeShiftL :: Const a b -> Int -> Const a b # shiftR :: Const a b -> Int -> Const a b # unsafeShiftR :: Const a b -> Int -> Const a b # rotateL :: Const a b -> Int -> Const a b # rotateR :: Const a b -> Int -> Const a b # popCount :: Const a b -> Int #
FiniteBits a => FiniteBits (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods finiteBitSize :: Const a b -> Int # countLeadingZeros :: Const a b -> Int # countTrailingZeros :: Const a b -> Int #
NFData a => NFData (Const a b)	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Const a b -> () #
Wrapped (Const a x)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Const a x) :: Type # Methods _Wrapped' :: Iso' (Const a x) (Unwrapped (Const a x)) #
t ~ Const a' x' => Rewrapped (Const a x) t
Instance details Defined in Control.Lens.Wrapped
type Rep1 (Const a :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const type Rep1 (Const a :: k -> Type) = D1 (MetaData "Const" "Data.Functor.Const" "base" True) (C1 (MetaCons "Const" PrefixI True) (S1 (MetaSel (Just "getConst") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 a)))
type Rep (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const type Rep (Const a b) = D1 (MetaData "Const" "Data.Functor.Const" "base" True) (C1 (MetaCons "Const" PrefixI True) (S1 (MetaSel (Just "getConst") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 a)))
type Unwrapped (Const a x)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Const a x) = a

find :: Foldable t => (a -> Bool) -> t a -> Maybe a #

The find function takes a predicate and a structure and returns the leftmost element of the structure matching the predicate, or Nothing if there is no such element.

notElem :: (Foldable t, Eq a) => a -> t a -> Bool infix 4 #

notElem is the negation of elem.

minimumBy :: Foldable t => (a -> a -> Ordering) -> t a -> a #

The least element of a non-empty structure with respect to the given comparison function.

maximumBy :: Foldable t => (a -> a -> Ordering) -> t a -> a #

The largest element of a non-empty structure with respect to the given comparison function.

all :: Foldable t => (a -> Bool) -> t a -> Bool #

Determines whether all elements of the structure satisfy the predicate.

any :: Foldable t => (a -> Bool) -> t a -> Bool #

Determines whether any element of the structure satisfies the predicate.

or :: Foldable t => t Bool -> Bool #

or returns the disjunction of a container of Bools. For the result to be False, the container must be finite; True, however, results from a True value finitely far from the left end.

and :: Foldable t => t Bool -> Bool #

and returns the conjunction of a container of Bools. For the result to be True, the container must be finite; False, however, results from a False value finitely far from the left end.

concatMap :: Foldable t => (a -> [b]) -> t a -> [b] #

Map a function over all the elements of a container and concatenate the resulting lists.

concat :: Foldable t => t [a] -> [a] #

The concatenation of all the elements of a container of lists.

asum :: (Foldable t, Alternative f) => t (f a) -> f a #

The sum of a collection of actions, generalizing concat.

asum [Just Hello, Nothing, Just World] Just Hello

sequenceA_ :: (Foldable t, Applicative f) => t (f a) -> f () #

Evaluate each action in the structure from left to right, and ignore the results. For a version that doesn't ignore the results see sequenceA.

for_ :: (Foldable t, Applicative f) => t a -> (a -> f b) -> f () #

for_ is traverse_ with its arguments flipped. For a version that doesn't ignore the results see for.

>>> for_ [1..4] print
1
2
3
4

traverse_ :: (Foldable t, Applicative f) => (a -> f b) -> t a -> f () #

Map each element of a structure to an action, evaluate these actions from left to right, and ignore the results. For a version that doesn't ignore the results see traverse.

foldlM :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m b #

Monadic fold over the elements of a structure, associating to the left, i.e. from left to right.

foldrM :: (Foldable t, Monad m) => (a -> b -> m b) -> b -> t a -> m b #

Monadic fold over the elements of a structure, associating to the right, i.e. from right to left.

newtype First a #

Maybe monoid returning the leftmost non-Nothing value.

First a is isomorphic to Alt Maybe a, but precedes it historically.

>>> getFirst (First (Just "hello") <> First Nothing <> First (Just "world"))
Just "hello"

Use of this type is discouraged. Note the following equivalence:

Data.Monoid.First x === Maybe (Data.Semigroup.First x)

In addition to being equivalent in the structural sense, the two also have Monoid instances that behave the same. This type will be marked deprecated in GHC 8.8, and removed in GHC 8.10. Users are advised to use the variant from Data.Semigroup and wrap it in Maybe.

Constructors

First
Fields getFirst :: Maybe a

Instances

Monad First	Since: base-4.8.0.0
Instance details Defined in Data.Monoid Methods (>>=) :: First a -> (a -> First b) -> First b # (>>) :: First a -> First b -> First b # return :: a -> First a # fail :: String -> First a #
Functor First	Since: base-4.8.0.0
Instance details Defined in Data.Monoid Methods fmap :: (a -> b) -> First a -> First b # (<$) :: a -> First b -> First a #
MonadFix First	Since: base-4.8.0.0
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> First a) -> First a #
Applicative First	Since: base-4.8.0.0
Instance details Defined in Data.Monoid Methods pure :: a -> First a # (<>) :: First (a -> b) -> First a -> First b # liftA2 :: (a -> b -> c) -> First a -> First b -> First c # (>) :: First a -> First b -> First b # (<*) :: First a -> First b -> First a #
Foldable First	Since: base-4.8.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => First m -> m # foldMap :: Monoid m => (a -> m) -> First a -> m # foldr :: (a -> b -> b) -> b -> First a -> b # foldr' :: (a -> b -> b) -> b -> First a -> b # foldl :: (b -> a -> b) -> b -> First a -> b # foldl' :: (b -> a -> b) -> b -> First a -> b # foldr1 :: (a -> a -> a) -> First a -> a # foldl1 :: (a -> a -> a) -> First a -> a # toList :: First a -> [a] # null :: First a -> Bool # length :: First a -> Int # elem :: Eq a => a -> First a -> Bool # maximum :: Ord a => First a -> a # minimum :: Ord a => First a -> a # sum :: Num a => First a -> a # product :: Num a => First a -> a #
Traversable First	Since: base-4.8.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> First a -> f (First b) # sequenceA :: Applicative f => First (f a) -> f (First a) # mapM :: Monad m => (a -> m b) -> First a -> m (First b) # sequence :: Monad m => First (m a) -> m (First a) #
ToJSON1 First
Instance details Defined in Data.Aeson.Types.ToJSON Methods liftToJSON :: (a -> Value) -> ([a] -> Value) -> First a -> Value # liftToJSONList :: (a -> Value) -> ([a] -> Value) -> [First a] -> Value # liftToEncoding :: (a -> Encoding) -> ([a] -> Encoding) -> First a -> Encoding # liftToEncodingList :: (a -> Encoding) -> ([a] -> Encoding) -> [First a] -> Encoding #
FromJSON1 First
Instance details Defined in Data.Aeson.Types.FromJSON Methods liftParseJSON :: (Value -> Parser a) -> (Value -> Parser [a]) -> Value -> Parser (First a) # liftParseJSONList :: (Value -> Parser a) -> (Value -> Parser [a]) -> Value -> Parser [First a] #
NFData1 First	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf :: (a -> ()) -> First a -> () #
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 #
Ord a => Ord (First a)	Since: base-2.1
Instance details Defined in Data.Monoid Methods compare :: First a -> First a -> Ordering # (<) :: First a -> First a -> Bool # (<=) :: First a -> First a -> Bool # (>) :: First a -> First a -> Bool # (>=) :: First a -> First a -> Bool # max :: First a -> First a -> First a # min :: First a -> First a -> First a #
Read a => Read (First a)	Since: base-2.1
Instance details Defined in Data.Monoid Methods readsPrec :: Int -> ReadS (First a) # readList :: ReadS [First a] # readPrec :: ReadPrec (First a) # readListPrec :: ReadPrec [First a] #
Show a => Show (First a)	Since: base-2.1
Instance details Defined in Data.Monoid Methods showsPrec :: Int -> First a -> ShowS # show :: First a -> String # showList :: [First a] -> ShowS #
Generic (First a)
Instance details Defined in Data.Monoid Associated Types type Rep (First a) :: Type -> Type # Methods from :: First a -> Rep (First a) x # to :: Rep (First a) x -> First a #
Semigroup (First a)	Since: base-4.9.0.0
Instance details Defined in Data.Monoid Methods (<>) :: First a -> First a -> First a # sconcat :: NonEmpty (First a) -> First a # stimes :: Integral b => b -> First a -> First a #
Monoid (First a)	Since: base-2.1
Instance details Defined in Data.Monoid Methods mempty :: First a # mappend :: First a -> First a -> First a # mconcat :: [First a] -> First a #
ToJSON a => ToJSON (First a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: First a -> Value # toEncoding :: First a -> Encoding # toJSONList :: [First a] -> Value # toEncodingList :: [First a] -> Encoding #
FromJSON a => FromJSON (First a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (First a) # parseJSONList :: Value -> Parser [First a] #
NFData a => NFData (First a)	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: First a -> () #
Wrapped (First a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (First a) :: Type # Methods _Wrapped' :: Iso' (First a) (Unwrapped (First a)) #
Generic1 First
Instance details Defined in Data.Monoid Associated Types type Rep1 First :: k -> Type # Methods from1 :: First a -> Rep1 First a # to1 :: Rep1 First a -> First a #
t ~ First b => Rewrapped (First a) t
Instance details Defined in Control.Lens.Wrapped
type Rep (First a)	Since: base-4.7.0.0
Instance details Defined in Data.Monoid type Rep (First a) = D1 (MetaData "First" "Data.Monoid" "base" True) (C1 (MetaCons "First" PrefixI True) (S1 (MetaSel (Just "getFirst") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (Maybe a))))
type Unwrapped (First a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (First a) = Maybe a
type Rep1 First	Since: base-4.7.0.0
Instance details Defined in Data.Monoid type Rep1 First = D1 (MetaData "First" "Data.Monoid" "base" True) (C1 (MetaCons "First" PrefixI True) (S1 (MetaSel (Just "getFirst") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 Maybe)))

newtype Last a #

Maybe monoid returning the rightmost non-Nothing value.

Last a is isomorphic to Dual (First a), and thus to Dual (Alt Maybe a)

>>> getLast (Last (Just "hello") <> Last Nothing <> Last (Just "world"))
Just "world"

Use of this type is discouraged. Note the following equivalence:

Data.Monoid.Last x === Maybe (Data.Semigroup.Last x)

In addition to being equivalent in the structural sense, the two also have Monoid instances that behave the same. This type will be marked deprecated in GHC 8.8, and removed in GHC 8.10. Users are advised to use the variant from Data.Semigroup and wrap it in Maybe.

Constructors

Last
Fields getLast :: Maybe a

Instances

Monad Last	Since: base-4.8.0.0
Instance details Defined in Data.Monoid Methods (>>=) :: Last a -> (a -> Last b) -> Last b # (>>) :: Last a -> Last b -> Last b # return :: a -> Last a # fail :: String -> Last a #
Functor Last	Since: base-4.8.0.0
Instance details Defined in Data.Monoid Methods fmap :: (a -> b) -> Last a -> Last b # (<$) :: a -> Last b -> Last a #
MonadFix Last	Since: base-4.8.0.0
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> Last a) -> Last a #
Applicative Last	Since: base-4.8.0.0
Instance details Defined in Data.Monoid Methods pure :: a -> Last a # (<>) :: Last (a -> b) -> Last a -> Last b # liftA2 :: (a -> b -> c) -> Last a -> Last b -> Last c # (>) :: Last a -> Last b -> Last b # (<*) :: Last a -> Last b -> Last a #
Foldable Last	Since: base-4.8.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Last m -> m # foldMap :: Monoid m => (a -> m) -> Last a -> m # foldr :: (a -> b -> b) -> b -> Last a -> b # foldr' :: (a -> b -> b) -> b -> Last a -> b # foldl :: (b -> a -> b) -> b -> Last a -> b # foldl' :: (b -> a -> b) -> b -> Last a -> b # foldr1 :: (a -> a -> a) -> Last a -> a # foldl1 :: (a -> a -> a) -> Last a -> a # toList :: Last a -> [a] # null :: Last a -> Bool # length :: Last a -> Int # elem :: Eq a => a -> Last a -> Bool # maximum :: Ord a => Last a -> a # minimum :: Ord a => Last a -> a # sum :: Num a => Last a -> a # product :: Num a => Last a -> a #
Traversable Last	Since: base-4.8.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Last a -> f (Last b) # sequenceA :: Applicative f => Last (f a) -> f (Last a) # mapM :: Monad m => (a -> m b) -> Last a -> m (Last b) # sequence :: Monad m => Last (m a) -> m (Last a) #
ToJSON1 Last
Instance details Defined in Data.Aeson.Types.ToJSON Methods liftToJSON :: (a -> Value) -> ([a] -> Value) -> Last a -> Value # liftToJSONList :: (a -> Value) -> ([a] -> Value) -> [Last a] -> Value # liftToEncoding :: (a -> Encoding) -> ([a] -> Encoding) -> Last a -> Encoding # liftToEncodingList :: (a -> Encoding) -> ([a] -> Encoding) -> [Last a] -> Encoding #
FromJSON1 Last
Instance details Defined in Data.Aeson.Types.FromJSON Methods liftParseJSON :: (Value -> Parser a) -> (Value -> Parser [a]) -> Value -> Parser (Last a) # liftParseJSONList :: (Value -> Parser a) -> (Value -> Parser [a]) -> Value -> Parser [Last a] #
NFData1 Last	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf :: (a -> ()) -> Last a -> () #
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 #
Ord a => Ord (Last a)	Since: base-2.1
Instance details Defined in Data.Monoid Methods compare :: Last a -> Last a -> Ordering # (<) :: Last a -> Last a -> Bool # (<=) :: Last a -> Last a -> Bool # (>) :: Last a -> Last a -> Bool # (>=) :: Last a -> Last a -> Bool # max :: Last a -> Last a -> Last a # min :: Last a -> Last a -> Last a #
Read a => Read (Last a)	Since: base-2.1
Instance details Defined in Data.Monoid Methods readsPrec :: Int -> ReadS (Last a) # readList :: ReadS [Last a] # readPrec :: ReadPrec (Last a) # readListPrec :: ReadPrec [Last a] #
Show a => Show (Last a)	Since: base-2.1
Instance details Defined in Data.Monoid Methods showsPrec :: Int -> Last a -> ShowS # show :: Last a -> String # showList :: [Last a] -> ShowS #
Generic (Last a)
Instance details Defined in Data.Monoid Associated Types type Rep (Last a) :: Type -> Type # Methods from :: Last a -> Rep (Last a) x # to :: Rep (Last a) x -> Last a #
Semigroup (Last a)	Since: base-4.9.0.0
Instance details Defined in Data.Monoid Methods (<>) :: Last a -> Last a -> Last a # sconcat :: NonEmpty (Last a) -> Last a # stimes :: Integral b => b -> Last a -> Last a #
Monoid (Last a)	Since: base-2.1
Instance details Defined in Data.Monoid Methods mempty :: Last a # mappend :: Last a -> Last a -> Last a # mconcat :: [Last a] -> Last a #
ToJSON a => ToJSON (Last a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Last a -> Value # toEncoding :: Last a -> Encoding # toJSONList :: [Last a] -> Value # toEncodingList :: [Last a] -> Encoding #
FromJSON a => FromJSON (Last a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Last a) # parseJSONList :: Value -> Parser [Last a] #
NFData a => NFData (Last a)	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Last a -> () #
Wrapped (Last a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Last a) :: Type # Methods _Wrapped' :: Iso' (Last a) (Unwrapped (Last a)) #
Generic1 Last
Instance details Defined in Data.Monoid Associated Types type Rep1 Last :: k -> Type # Methods from1 :: Last a -> Rep1 Last a # to1 :: Rep1 Last a -> Last a #
t ~ Last b => Rewrapped (Last a) t
Instance details Defined in Control.Lens.Wrapped
type Rep (Last a)	Since: base-4.7.0.0
Instance details Defined in Data.Monoid type Rep (Last a) = D1 (MetaData "Last" "Data.Monoid" "base" True) (C1 (MetaCons "Last" PrefixI True) (S1 (MetaSel (Just "getLast") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (Maybe a))))
type Unwrapped (Last a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Last a) = Maybe a
type Rep1 Last	Since: base-4.7.0.0
Instance details Defined in Data.Monoid type Rep1 Last = D1 (MetaData "Last" "Data.Monoid" "base" True) (C1 (MetaCons "Last" PrefixI True) (S1 (MetaSel (Just "getLast") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 Maybe)))

newtype Ap (f :: k -> Type) (a :: k) :: forall k. (k -> Type) -> k -> Type #

This data type witnesses the lifting of a Monoid into an Applicative pointwise.

Since: base-4.12.0.0

Constructors

Ap
Fields getAp :: f a

Instances

Generic1 (Ap f :: k -> Type)
Instance details Defined in Data.Monoid Associated Types type Rep1 (Ap f) :: k -> Type # Methods from1 :: Ap f a -> Rep1 (Ap f) a # to1 :: Rep1 (Ap f) a -> Ap f a #
Monad f => Monad (Ap f)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid Methods (>>=) :: Ap f a -> (a -> Ap f b) -> Ap f b # (>>) :: Ap f a -> Ap f b -> Ap f b # return :: a -> Ap f a # fail :: String -> Ap f a #
Functor f => Functor (Ap f)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid Methods fmap :: (a -> b) -> Ap f a -> Ap f b # (<$) :: a -> Ap f b -> Ap f a #
MonadFix f => MonadFix (Ap f)	Since: base-4.12.0.0
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> Ap f a) -> Ap f a #
MonadFail f => MonadFail (Ap f)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid Methods fail :: String -> Ap f a #
Applicative f => Applicative (Ap f)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid Methods pure :: a -> Ap f a # (<>) :: Ap f (a -> b) -> Ap f a -> Ap f b # liftA2 :: (a -> b -> c) -> Ap f a -> Ap f b -> Ap f c # (>) :: Ap f a -> Ap f b -> Ap f b # (<*) :: Ap f a -> Ap f b -> Ap f a #
Foldable f => Foldable (Ap f)	Since: base-4.12.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Ap f m -> m # foldMap :: Monoid m => (a -> m) -> Ap f a -> m # foldr :: (a -> b -> b) -> b -> Ap f a -> b # foldr' :: (a -> b -> b) -> b -> Ap f a -> b # foldl :: (b -> a -> b) -> b -> Ap f a -> b # foldl' :: (b -> a -> b) -> b -> Ap f a -> b # foldr1 :: (a -> a -> a) -> Ap f a -> a # foldl1 :: (a -> a -> a) -> Ap f a -> a # toList :: Ap f a -> [a] # null :: Ap f a -> Bool # length :: Ap f a -> Int # elem :: Eq a => a -> Ap f a -> Bool # maximum :: Ord a => Ap f a -> a # minimum :: Ord a => Ap f a -> a # sum :: Num a => Ap f a -> a # product :: Num a => Ap f a -> a #
Traversable f => Traversable (Ap f)	Since: base-4.12.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> Ap f a -> f0 (Ap f b) # sequenceA :: Applicative f0 => Ap f (f0 a) -> f0 (Ap f a) # mapM :: Monad m => (a -> m b) -> Ap f a -> m (Ap f b) # sequence :: Monad m => Ap f (m a) -> m (Ap f a) #
MonadPlus f => MonadPlus (Ap f)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid Methods mzero :: Ap f a # mplus :: Ap f a -> Ap f a -> Ap f a #
Alternative f => Alternative (Ap f)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid Methods empty :: Ap f a # (<\|>) :: Ap f a -> Ap f a -> Ap f a # some :: Ap f a -> Ap f [a] # many :: Ap f a -> Ap f [a] #
(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 #
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] #
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 #
(Applicative f, Num a) => Num (Ap f a)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid Methods (+) :: Ap f a -> Ap f a -> Ap f a # (-) :: Ap f a -> Ap f a -> Ap f a # (*) :: Ap f a -> Ap f a -> Ap f a # negate :: Ap f a -> Ap f a # abs :: Ap f a -> Ap f a # signum :: Ap f a -> Ap f a # fromInteger :: Integer -> Ap f a #
Ord (f a) => Ord (Ap f a)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid Methods compare :: Ap f a -> Ap f a -> Ordering # (<) :: Ap f a -> Ap f a -> Bool # (<=) :: Ap f a -> Ap f a -> Bool # (>) :: Ap f a -> Ap f a -> Bool # (>=) :: Ap f a -> Ap f a -> Bool # max :: Ap f a -> Ap f a -> Ap f a # min :: Ap f a -> Ap f a -> Ap f a #
Read (f a) => Read (Ap f a)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid Methods readsPrec :: Int -> ReadS (Ap f a) # readList :: ReadS [Ap f a] # readPrec :: ReadPrec (Ap f a) # readListPrec :: ReadPrec [Ap f a] #
Show (f a) => Show (Ap f a)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid Methods showsPrec :: Int -> Ap f a -> ShowS # show :: Ap f a -> String # showList :: [Ap f a] -> ShowS #
Generic (Ap f a)
Instance details Defined in Data.Monoid Associated Types type Rep (Ap f a) :: Type -> Type # Methods from :: Ap f a -> Rep (Ap f a) x # to :: Rep (Ap f a) x -> Ap f a #
(Applicative f, Semigroup a) => Semigroup (Ap f a)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid Methods (<>) :: Ap f a -> Ap f a -> Ap f a # sconcat :: NonEmpty (Ap f a) -> Ap f a # stimes :: Integral b => b -> Ap f a -> Ap f a #
(Applicative f, Monoid a) => Monoid (Ap f a)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid Methods mempty :: Ap f a # mappend :: Ap f a -> Ap f a -> Ap f a # mconcat :: [Ap f a] -> Ap f a #
type Rep1 (Ap f :: k -> Type)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid type Rep1 (Ap f :: k -> Type) = D1 (MetaData "Ap" "Data.Monoid" "base" True) (C1 (MetaCons "Ap" PrefixI True) (S1 (MetaSel (Just "getAp") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 f)))
type Rep (Ap f a)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid type Rep (Ap f a) = D1 (MetaData "Ap" "Data.Monoid" "base" True) (C1 (MetaCons "Ap" PrefixI True) (S1 (MetaSel (Just "getAp") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (f a))))

stimesMonoid :: (Integral b, Monoid a) => b -> a -> a #

This is a valid definition of stimes for a Monoid.

Unlike the default definition of stimes, it is defined for 0 and so it should be preferred where possible.

stimesIdempotent :: Integral b => b -> a -> a #

This is a valid definition of stimes for an idempotent Semigroup.

When x <> x = x, this definition should be preferred, because it works in O(1) rather than O(log n).

newtype Dual a #

The dual of a Monoid, obtained by swapping the arguments of mappend.

>>> getDual (mappend (Dual "Hello") (Dual "World"))
"WorldHello"

Constructors

Dual
Fields getDual :: a

Instances

Monad Dual	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods (>>=) :: Dual a -> (a -> Dual b) -> Dual b # (>>) :: Dual a -> Dual b -> Dual b # return :: a -> Dual a # fail :: String -> Dual a #
Functor Dual	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods fmap :: (a -> b) -> Dual a -> Dual b # (<$) :: a -> Dual b -> Dual a #
MonadFix Dual	Since: base-4.8.0.0
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> Dual a) -> Dual a #
Applicative Dual	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods pure :: a -> Dual a # (<>) :: Dual (a -> b) -> Dual a -> Dual b # liftA2 :: (a -> b -> c) -> Dual a -> Dual b -> Dual c # (>) :: Dual a -> Dual b -> Dual b # (<*) :: Dual a -> Dual b -> Dual a #
Foldable Dual	Since: base-4.8.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Dual m -> m # foldMap :: Monoid m => (a -> m) -> Dual a -> m # foldr :: (a -> b -> b) -> b -> Dual a -> b # foldr' :: (a -> b -> b) -> b -> Dual a -> b # foldl :: (b -> a -> b) -> b -> Dual a -> b # foldl' :: (b -> a -> b) -> b -> Dual a -> b # foldr1 :: (a -> a -> a) -> Dual a -> a # foldl1 :: (a -> a -> a) -> Dual a -> a # toList :: Dual a -> [a] # null :: Dual a -> Bool # length :: Dual a -> Int # elem :: Eq a => a -> Dual a -> Bool # maximum :: Ord a => Dual a -> a # minimum :: Ord a => Dual a -> a # sum :: Num a => Dual a -> a # product :: Num a => Dual a -> a #
Traversable Dual	Since: base-4.8.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Dual a -> f (Dual b) # sequenceA :: Applicative f => Dual (f a) -> f (Dual a) # mapM :: Monad m => (a -> m b) -> Dual a -> m (Dual b) # sequence :: Monad m => Dual (m a) -> m (Dual a) #
Representable Dual
Instance details Defined in Data.Functor.Rep Associated Types type Rep Dual :: Type # Methods tabulate :: (Rep Dual -> a) -> Dual a # index :: Dual a -> Rep Dual -> a #
ToJSON1 Dual
Instance details Defined in Data.Aeson.Types.ToJSON Methods liftToJSON :: (a -> Value) -> ([a] -> Value) -> Dual a -> Value # liftToJSONList :: (a -> Value) -> ([a] -> Value) -> [Dual a] -> Value # liftToEncoding :: (a -> Encoding) -> ([a] -> Encoding) -> Dual a -> Encoding # liftToEncodingList :: (a -> Encoding) -> ([a] -> Encoding) -> [Dual a] -> Encoding #
FromJSON1 Dual
Instance details Defined in Data.Aeson.Types.FromJSON Methods liftParseJSON :: (Value -> Parser a) -> (Value -> Parser [a]) -> Value -> Parser (Dual a) # liftParseJSONList :: (Value -> Parser a) -> (Value -> Parser [a]) -> Value -> Parser [Dual a] #
NFData1 Dual	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf :: (a -> ()) -> Dual a -> () #
Bounded a => Bounded (Dual a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods minBound :: Dual a # maxBound :: Dual a #
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 #
Ord a => Ord (Dual a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods compare :: Dual a -> Dual a -> Ordering # (<) :: Dual a -> Dual a -> Bool # (<=) :: Dual a -> Dual a -> Bool # (>) :: Dual a -> Dual a -> Bool # (>=) :: Dual a -> Dual a -> Bool # max :: Dual a -> Dual a -> Dual a # min :: Dual a -> Dual a -> Dual a #
Read a => Read (Dual a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods readsPrec :: Int -> ReadS (Dual a) # readList :: ReadS [Dual a] # readPrec :: ReadPrec (Dual a) # readListPrec :: ReadPrec [Dual a] #
Show a => Show (Dual a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods showsPrec :: Int -> Dual a -> ShowS # show :: Dual a -> String # showList :: [Dual a] -> ShowS #
Generic (Dual a)
Instance details Defined in Data.Semigroup.Internal Associated Types type Rep (Dual a) :: Type -> Type # Methods from :: Dual a -> Rep (Dual a) x # to :: Rep (Dual a) x -> Dual a #
Semigroup a => Semigroup (Dual a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup.Internal Methods (<>) :: Dual a -> Dual a -> Dual a # sconcat :: NonEmpty (Dual a) -> Dual a # stimes :: Integral b => b -> Dual a -> Dual a #
Monoid a => Monoid (Dual a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods mempty :: Dual a # mappend :: Dual a -> Dual a -> Dual a # mconcat :: [Dual a] -> Dual a #
ToJSON a => ToJSON (Dual a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Dual a -> Value # toEncoding :: Dual a -> Encoding # toJSONList :: [Dual a] -> Value # toEncodingList :: [Dual a] -> Encoding #
FromJSON a => FromJSON (Dual a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Dual a) # parseJSONList :: Value -> Parser [Dual a] #
NFData a => NFData (Dual a)	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Dual a -> () #
Wrapped (Dual a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Dual a) :: Type # Methods _Wrapped' :: Iso' (Dual a) (Unwrapped (Dual a)) #
Generic1 Dual
Instance details Defined in Data.Semigroup.Internal Associated Types type Rep1 Dual :: k -> Type # Methods from1 :: Dual a -> Rep1 Dual a # to1 :: Rep1 Dual a -> Dual a #
t ~ Dual b => Rewrapped (Dual a) t
Instance details Defined in Control.Lens.Wrapped
type Rep Dual
Instance details Defined in Data.Functor.Rep type Rep Dual = ()
type Rep (Dual a)	Since: base-4.7.0.0
Instance details Defined in Data.Semigroup.Internal type Rep (Dual a) = D1 (MetaData "Dual" "Data.Semigroup.Internal" "base" True) (C1 (MetaCons "Dual" PrefixI True) (S1 (MetaSel (Just "getDual") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 a)))
type Unwrapped (Dual a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Dual a) = a
type Rep1 Dual	Since: base-4.7.0.0
Instance details Defined in Data.Semigroup.Internal type Rep1 Dual = D1 (MetaData "Dual" "Data.Semigroup.Internal" "base" True) (C1 (MetaCons "Dual" PrefixI True) (S1 (MetaSel (Just "getDual") NoSourceUnpackedness NoSourceStrictness DecidedLazy) Par1))

newtype Endo a #

The monoid of endomorphisms under composition.

>>> let computation = Endo ("Hello, " ++) <> Endo (++ "!")
>>> appEndo computation "Haskell"
"Hello, Haskell!"

Constructors

Endo
Fields appEndo :: a -> a

Instances

Generic (Endo a)
Instance details Defined in Data.Semigroup.Internal Associated Types type Rep (Endo a) :: Type -> Type # Methods from :: Endo a -> Rep (Endo a) x # to :: Rep (Endo a) x -> Endo a #
Semigroup (Endo a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup.Internal Methods (<>) :: Endo a -> Endo a -> Endo a # sconcat :: NonEmpty (Endo a) -> Endo a # stimes :: Integral b => b -> Endo a -> Endo a #
Monoid (Endo a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods mempty :: Endo a # mappend :: Endo a -> Endo a -> Endo a # mconcat :: [Endo a] -> Endo a #
Wrapped (Endo a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Endo a) :: Type # Methods _Wrapped' :: Iso' (Endo a) (Unwrapped (Endo a)) #
t ~ Endo b => Rewrapped (Endo a) t
Instance details Defined in Control.Lens.Wrapped
type Rep (Endo a)	Since: base-4.7.0.0
Instance details Defined in Data.Semigroup.Internal type Rep (Endo a) = D1 (MetaData "Endo" "Data.Semigroup.Internal" "base" True) (C1 (MetaCons "Endo" PrefixI True) (S1 (MetaSel (Just "appEndo") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (a -> a))))
type Unwrapped (Endo a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Endo a) = a -> a

newtype All #

Boolean monoid under conjunction (&&).

>>> getAll (All True <> mempty <> All False)
False

>>> getAll (mconcat (map (\x -> All (even x)) [2,4,6,7,8]))
False

Constructors

All
Fields getAll :: Bool

Instances

Bounded All	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods minBound :: All # maxBound :: All #
Eq All	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods (==) :: All -> All -> Bool # (/=) :: All -> All -> Bool #
Ord All	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods compare :: All -> All -> Ordering # (<) :: All -> All -> Bool # (<=) :: All -> All -> Bool # (>) :: All -> All -> Bool # (>=) :: All -> All -> Bool # max :: All -> All -> All # min :: All -> All -> All #
Read All	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods readsPrec :: Int -> ReadS All # readList :: ReadS [All] # readPrec :: ReadPrec All # readListPrec :: ReadPrec [All] #
Show All	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods showsPrec :: Int -> All -> ShowS # show :: All -> String # showList :: [All] -> ShowS #
Generic All
Instance details Defined in Data.Semigroup.Internal Associated Types type Rep All :: Type -> Type # Methods from :: All -> Rep All x # to :: Rep All x -> All #
Semigroup All	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup.Internal Methods (<>) :: All -> All -> All # sconcat :: NonEmpty All -> All # stimes :: Integral b => b -> All -> All #
Monoid All	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods mempty :: All # mappend :: All -> All -> All # mconcat :: [All] -> All #
NFData All	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: All -> () #
Wrapped All
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped All :: Type # Methods _Wrapped' :: Iso' All (Unwrapped All) #
t ~ All => Rewrapped All t
Instance details Defined in Control.Lens.Wrapped
type Rep All	Since: base-4.7.0.0
Instance details Defined in Data.Semigroup.Internal type Rep All = D1 (MetaData "All" "Data.Semigroup.Internal" "base" True) (C1 (MetaCons "All" PrefixI True) (S1 (MetaSel (Just "getAll") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 Bool)))
type Unwrapped All
Instance details Defined in Control.Lens.Wrapped type Unwrapped All = Bool

newtype Any #

Boolean monoid under disjunction (||).

>>> getAny (Any True <> mempty <> Any False)
True

>>> getAny (mconcat (map (\x -> Any (even x)) [2,4,6,7,8]))
True

Constructors

Any
Fields getAny :: Bool

Instances

Bounded Any	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods minBound :: Any # maxBound :: Any #
Eq Any	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods (==) :: Any -> Any -> Bool # (/=) :: Any -> Any -> Bool #
Ord Any	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods compare :: Any -> Any -> Ordering # (<) :: Any -> Any -> Bool # (<=) :: Any -> Any -> Bool # (>) :: Any -> Any -> Bool # (>=) :: Any -> Any -> Bool # max :: Any -> Any -> Any # min :: Any -> Any -> Any #
Read Any	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods readsPrec :: Int -> ReadS Any # readList :: ReadS [Any] # readPrec :: ReadPrec Any # readListPrec :: ReadPrec [Any] #
Show Any	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods showsPrec :: Int -> Any -> ShowS # show :: Any -> String # showList :: [Any] -> ShowS #
Generic Any
Instance details Defined in Data.Semigroup.Internal Associated Types type Rep Any :: Type -> Type # Methods from :: Any -> Rep Any x # to :: Rep Any x -> Any #
Semigroup Any	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup.Internal Methods (<>) :: Any -> Any -> Any # sconcat :: NonEmpty Any -> Any # stimes :: Integral b => b -> Any -> Any #
Monoid Any	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods mempty :: Any # mappend :: Any -> Any -> Any # mconcat :: [Any] -> Any #
NFData Any	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Any -> () #
Wrapped Any
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped Any :: Type # Methods _Wrapped' :: Iso' Any (Unwrapped Any) #
t ~ Any => Rewrapped Any t
Instance details Defined in Control.Lens.Wrapped
type Rep Any	Since: base-4.7.0.0
Instance details Defined in Data.Semigroup.Internal type Rep Any = D1 (MetaData "Any" "Data.Semigroup.Internal" "base" True) (C1 (MetaCons "Any" PrefixI True) (S1 (MetaSel (Just "getAny") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 Bool)))
type Unwrapped Any
Instance details Defined in Control.Lens.Wrapped type Unwrapped Any = Bool

newtype Sum a #

Monoid under addition.

>>> getSum (Sum 1 <> Sum 2 <> mempty)
3

Constructors

Sum
Fields getSum :: a

Instances

Monad Sum	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods (>>=) :: Sum a -> (a -> Sum b) -> Sum b # (>>) :: Sum a -> Sum b -> Sum b # return :: a -> Sum a # fail :: String -> Sum a #
Functor Sum	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods fmap :: (a -> b) -> Sum a -> Sum b # (<$) :: a -> Sum b -> Sum a #
MonadFix Sum	Since: base-4.8.0.0
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> Sum a) -> Sum a #
Applicative Sum	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods pure :: a -> Sum a # (<>) :: Sum (a -> b) -> Sum a -> Sum b # liftA2 :: (a -> b -> c) -> Sum a -> Sum b -> Sum c # (>) :: Sum a -> Sum b -> Sum b # (<*) :: Sum a -> Sum b -> Sum a #
Foldable Sum	Since: base-4.8.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Sum m -> m # foldMap :: Monoid m => (a -> m) -> Sum a -> m # foldr :: (a -> b -> b) -> b -> Sum a -> b # foldr' :: (a -> b -> b) -> b -> Sum a -> b # foldl :: (b -> a -> b) -> b -> Sum a -> b # foldl' :: (b -> a -> b) -> b -> Sum a -> b # foldr1 :: (a -> a -> a) -> Sum a -> a # foldl1 :: (a -> a -> a) -> Sum a -> a # toList :: Sum a -> [a] # null :: Sum a -> Bool # length :: Sum a -> Int # elem :: Eq a => a -> Sum a -> Bool # maximum :: Ord a => Sum a -> a # minimum :: Ord a => Sum a -> a # sum :: Num a => Sum a -> a # product :: Num a => Sum a -> a #
Traversable Sum	Since: base-4.8.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Sum a -> f (Sum b) # sequenceA :: Applicative f => Sum (f a) -> f (Sum a) # mapM :: Monad m => (a -> m b) -> Sum a -> m (Sum b) # sequence :: Monad m => Sum (m a) -> m (Sum a) #
Representable Sum
Instance details Defined in Data.Functor.Rep Associated Types type Rep Sum :: Type # Methods tabulate :: (Rep Sum -> a) -> Sum a # index :: Sum a -> Rep Sum -> a #
NFData1 Sum	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf :: (a -> ()) -> Sum a -> () #
Bounded a => Bounded (Sum a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods minBound :: Sum a # maxBound :: Sum a #
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 #
Num a => Num (Sum a)	Since: base-4.7.0.0
Instance details Defined in Data.Semigroup.Internal Methods (+) :: Sum a -> Sum a -> Sum a # (-) :: Sum a -> Sum a -> Sum a # (*) :: Sum a -> Sum a -> Sum a # negate :: Sum a -> Sum a # abs :: Sum a -> Sum a # signum :: Sum a -> Sum a # fromInteger :: Integer -> Sum a #
Ord a => Ord (Sum a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods compare :: Sum a -> Sum a -> Ordering # (<) :: Sum a -> Sum a -> Bool # (<=) :: Sum a -> Sum a -> Bool # (>) :: Sum a -> Sum a -> Bool # (>=) :: Sum a -> Sum a -> Bool # max :: Sum a -> Sum a -> Sum a # min :: Sum a -> Sum a -> Sum a #
Read a => Read (Sum a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods readsPrec :: Int -> ReadS (Sum a) # readList :: ReadS [Sum a] # readPrec :: ReadPrec (Sum a) # readListPrec :: ReadPrec [Sum a] #
Show a => Show (Sum a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods showsPrec :: Int -> Sum a -> ShowS # show :: Sum a -> String # showList :: [Sum a] -> ShowS #
Generic (Sum a)
Instance details Defined in Data.Semigroup.Internal Associated Types type Rep (Sum a) :: Type -> Type # Methods from :: Sum a -> Rep (Sum a) x # to :: Rep (Sum a) x -> Sum a #
Num a => Semigroup (Sum a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup.Internal Methods (<>) :: Sum a -> Sum a -> Sum a # sconcat :: NonEmpty (Sum a) -> Sum a # stimes :: Integral b => b -> Sum a -> Sum a #
Num a => Monoid (Sum a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods mempty :: Sum a # mappend :: Sum a -> Sum a -> Sum a # mconcat :: [Sum a] -> Sum a #
NFData a => NFData (Sum a)	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Sum a -> () #
Wrapped (Sum a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Sum a) :: Type # Methods _Wrapped' :: Iso' (Sum a) (Unwrapped (Sum a)) #
Generic1 Sum
Instance details Defined in Data.Semigroup.Internal Associated Types type Rep1 Sum :: k -> Type # Methods from1 :: Sum a -> Rep1 Sum a # to1 :: Rep1 Sum a -> Sum a #
t ~ Sum b => Rewrapped (Sum a) t
Instance details Defined in Control.Lens.Wrapped
type Rep Sum
Instance details Defined in Data.Functor.Rep type Rep Sum = ()
type Rep (Sum a)	Since: base-4.7.0.0
Instance details Defined in Data.Semigroup.Internal type Rep (Sum a) = D1 (MetaData "Sum" "Data.Semigroup.Internal" "base" True) (C1 (MetaCons "Sum" PrefixI True) (S1 (MetaSel (Just "getSum") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 a)))
type Unwrapped (Sum a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Sum a) = a
type Rep1 Sum	Since: base-4.7.0.0
Instance details Defined in Data.Semigroup.Internal type Rep1 Sum = D1 (MetaData "Sum" "Data.Semigroup.Internal" "base" True) (C1 (MetaCons "Sum" PrefixI True) (S1 (MetaSel (Just "getSum") NoSourceUnpackedness NoSourceStrictness DecidedLazy) Par1))

newtype Product a #

Monoid under multiplication.

>>> getProduct (Product 3 <> Product 4 <> mempty)
12

Constructors

Product
Fields getProduct :: a

Instances

Monad Product	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods (>>=) :: Product a -> (a -> Product b) -> Product b # (>>) :: Product a -> Product b -> Product b # return :: a -> Product a # fail :: String -> Product a #
Functor Product	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods fmap :: (a -> b) -> Product a -> Product b # (<$) :: a -> Product b -> Product a #
MonadFix Product	Since: base-4.8.0.0
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> Product a) -> Product a #
Applicative Product	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods pure :: a -> Product a # (<>) :: Product (a -> b) -> Product a -> Product b # liftA2 :: (a -> b -> c) -> Product a -> Product b -> Product c # (>) :: Product a -> Product b -> Product b # (<*) :: Product a -> Product b -> Product a #
Foldable Product	Since: base-4.8.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Product m -> m # foldMap :: Monoid m => (a -> m) -> Product a -> m # foldr :: (a -> b -> b) -> b -> Product a -> b # foldr' :: (a -> b -> b) -> b -> Product a -> b # foldl :: (b -> a -> b) -> b -> Product a -> b # foldl' :: (b -> a -> b) -> b -> Product a -> b # foldr1 :: (a -> a -> a) -> Product a -> a # foldl1 :: (a -> a -> a) -> Product a -> a # toList :: Product a -> [a] # null :: Product a -> Bool # length :: Product a -> Int # elem :: Eq a => a -> Product a -> Bool # maximum :: Ord a => Product a -> a # minimum :: Ord a => Product a -> a # sum :: Num a => Product a -> a # product :: Num a => Product a -> a #
Traversable Product	Since: base-4.8.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Product a -> f (Product b) # sequenceA :: Applicative f => Product (f a) -> f (Product a) # mapM :: Monad m => (a -> m b) -> Product a -> m (Product b) # sequence :: Monad m => Product (m a) -> m (Product a) #
Representable Product
Instance details Defined in Data.Functor.Rep Associated Types type Rep Product :: Type # Methods tabulate :: (Rep Product -> a) -> Product a # index :: Product a -> Rep Product -> a #
NFData1 Product	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf :: (a -> ()) -> Product a -> () #
Bounded a => Bounded (Product a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods minBound :: Product a # maxBound :: Product a #
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 #
Num a => Num (Product a)	Since: base-4.7.0.0
Instance details Defined in Data.Semigroup.Internal Methods (+) :: Product a -> Product a -> Product a # (-) :: Product a -> Product a -> Product a # (*) :: Product a -> Product a -> Product a # negate :: Product a -> Product a # abs :: Product a -> Product a # signum :: Product a -> Product a # fromInteger :: Integer -> Product a #
Ord a => Ord (Product a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods compare :: Product a -> Product a -> Ordering # (<) :: Product a -> Product a -> Bool # (<=) :: Product a -> Product a -> Bool # (>) :: Product a -> Product a -> Bool # (>=) :: Product a -> Product a -> Bool # max :: Product a -> Product a -> Product a # min :: Product a -> Product a -> Product a #
Read a => Read (Product a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods readsPrec :: Int -> ReadS (Product a) # readList :: ReadS [Product a] # readPrec :: ReadPrec (Product a) # readListPrec :: ReadPrec [Product a] #
Show a => Show (Product a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods showsPrec :: Int -> Product a -> ShowS # show :: Product a -> String # showList :: [Product a] -> ShowS #
Generic (Product a)
Instance details Defined in Data.Semigroup.Internal Associated Types type Rep (Product a) :: Type -> Type # Methods from :: Product a -> Rep (Product a) x # to :: Rep (Product a) x -> Product a #
Num a => Semigroup (Product a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup.Internal Methods (<>) :: Product a -> Product a -> Product a # sconcat :: NonEmpty (Product a) -> Product a # stimes :: Integral b => b -> Product a -> Product a #
Num a => Monoid (Product a)	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods mempty :: Product a # mappend :: Product a -> Product a -> Product a # mconcat :: [Product a] -> Product a #
NFData a => NFData (Product a)	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Product a -> () #
Wrapped (Product a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Product a) :: Type # Methods _Wrapped' :: Iso' (Product a) (Unwrapped (Product a)) #
Generic1 Product
Instance details Defined in Data.Semigroup.Internal Associated Types type Rep1 Product :: k -> Type # Methods from1 :: Product a -> Rep1 Product a # to1 :: Rep1 Product a -> Product a #
t ~ Product b => Rewrapped (Product a) t
Instance details Defined in Control.Lens.Wrapped
type Rep Product
Instance details Defined in Data.Functor.Rep type Rep Product = ()
type Rep (Product a)	Since: base-4.7.0.0
Instance details Defined in Data.Semigroup.Internal type Rep (Product a) = D1 (MetaData "Product" "Data.Semigroup.Internal" "base" True) (C1 (MetaCons "Product" PrefixI True) (S1 (MetaSel (Just "getProduct") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 a)))
type Unwrapped (Product a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Product a) = a
type Rep1 Product	Since: base-4.7.0.0
Instance details Defined in Data.Semigroup.Internal type Rep1 Product = D1 (MetaData "Product" "Data.Semigroup.Internal" "base" True) (C1 (MetaCons "Product" PrefixI True) (S1 (MetaSel (Just "getProduct") NoSourceUnpackedness NoSourceStrictness DecidedLazy) Par1))

newtype Alt (f :: k -> Type) (a :: k) :: forall k. (k -> Type) -> k -> Type #

Monoid under <|>.

Since: base-4.8.0.0

Constructors

Alt
Fields getAlt :: f a

Instances

Generic1 (Alt f :: k -> Type)
Instance details Defined in Data.Semigroup.Internal Associated Types type Rep1 (Alt f) :: k -> Type # Methods from1 :: Alt f a -> Rep1 (Alt f) a # to1 :: Rep1 (Alt f) a -> Alt f a #
Monad f => Monad (Alt f)	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods (>>=) :: Alt f a -> (a -> Alt f b) -> Alt f b # (>>) :: Alt f a -> Alt f b -> Alt f b # return :: a -> Alt f a # fail :: String -> Alt f a #
Functor f => Functor (Alt f)	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods fmap :: (a -> b) -> Alt f a -> Alt f b # (<$) :: a -> Alt f b -> Alt f a #
MonadFix f => MonadFix (Alt f)	Since: base-4.8.0.0
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> Alt f a) -> Alt f a #
Applicative f => Applicative (Alt f)	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods pure :: a -> Alt f a # (<>) :: Alt f (a -> b) -> Alt f a -> Alt f b # liftA2 :: (a -> b -> c) -> Alt f a -> Alt f b -> Alt f c # (>) :: Alt f a -> Alt f b -> Alt f b # (<*) :: Alt f a -> Alt f b -> Alt f a #
Foldable f => Foldable (Alt f)	Since: base-4.12.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Alt f m -> m # foldMap :: Monoid m => (a -> m) -> Alt f a -> m # foldr :: (a -> b -> b) -> b -> Alt f a -> b # foldr' :: (a -> b -> b) -> b -> Alt f a -> b # foldl :: (b -> a -> b) -> b -> Alt f a -> b # foldl' :: (b -> a -> b) -> b -> Alt f a -> b # foldr1 :: (a -> a -> a) -> Alt f a -> a # foldl1 :: (a -> a -> a) -> Alt f a -> a # toList :: Alt f a -> [a] # null :: Alt f a -> Bool # length :: Alt f a -> Int # elem :: Eq a => a -> Alt f a -> Bool # maximum :: Ord a => Alt f a -> a # minimum :: Ord a => Alt f a -> a # sum :: Num a => Alt f a -> a # product :: Num a => Alt f a -> a #
Traversable f => Traversable (Alt f)	Since: base-4.12.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> Alt f a -> f0 (Alt f b) # sequenceA :: Applicative f0 => Alt f (f0 a) -> f0 (Alt f a) # mapM :: Monad m => (a -> m b) -> Alt f a -> m (Alt f b) # sequence :: Monad m => Alt f (m a) -> m (Alt f a) #
MonadPlus f => MonadPlus (Alt f)	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods mzero :: Alt f a # mplus :: Alt f a -> Alt f a -> Alt f a #
Alternative f => Alternative (Alt f)	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods empty :: Alt f a # (<\|>) :: Alt f a -> Alt f a -> Alt f a # some :: Alt f a -> Alt f [a] # many :: Alt f a -> Alt 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] #
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 #
Num (f a) => Num (Alt f a)	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods (+) :: Alt f a -> Alt f a -> Alt f a # (-) :: Alt f a -> Alt f a -> Alt f a # (*) :: Alt f a -> Alt f a -> Alt f a # negate :: Alt f a -> Alt f a # abs :: Alt f a -> Alt f a # signum :: Alt f a -> Alt f a # fromInteger :: Integer -> Alt f a #
Ord (f a) => Ord (Alt f a)	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods compare :: Alt f a -> Alt f a -> Ordering # (<) :: Alt f a -> Alt f a -> Bool # (<=) :: Alt f a -> Alt f a -> Bool # (>) :: Alt f a -> Alt f a -> Bool # (>=) :: Alt f a -> Alt f a -> Bool # max :: Alt f a -> Alt f a -> Alt f a # min :: Alt f a -> Alt f a -> Alt f a #
Read (f a) => Read (Alt f a)	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods readsPrec :: Int -> ReadS (Alt f a) # readList :: ReadS [Alt f a] # readPrec :: ReadPrec (Alt f a) # readListPrec :: ReadPrec [Alt f a] #
Show (f a) => Show (Alt f a)	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods showsPrec :: Int -> Alt f a -> ShowS # show :: Alt f a -> String # showList :: [Alt f a] -> ShowS #
Generic (Alt f a)
Instance details Defined in Data.Semigroup.Internal Associated Types type Rep (Alt f a) :: Type -> Type # Methods from :: Alt f a -> Rep (Alt f a) x # to :: Rep (Alt f a) x -> Alt f a #
Alternative f => Semigroup (Alt f a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup.Internal Methods (<>) :: Alt f a -> Alt f a -> Alt f a # sconcat :: NonEmpty (Alt f a) -> Alt f a # stimes :: Integral b => b -> Alt f a -> Alt f a #
Alternative f => Monoid (Alt f a)	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods mempty :: Alt f a # mappend :: Alt f a -> Alt f a -> Alt f a # mconcat :: [Alt f a] -> Alt f a #
Wrapped (Alt f a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Alt f a) :: Type # Methods _Wrapped' :: Iso' (Alt f a) (Unwrapped (Alt f a)) #
t ~ Alt g b => Rewrapped (Alt f a) t
Instance details Defined in Control.Lens.Wrapped
type Rep1 (Alt f :: k -> Type)	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal type Rep1 (Alt f :: k -> Type) = D1 (MetaData "Alt" "Data.Semigroup.Internal" "base" True) (C1 (MetaCons "Alt" PrefixI True) (S1 (MetaSel (Just "getAlt") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 f)))
type Rep (Alt f a)	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal type Rep (Alt f a) = D1 (MetaData "Alt" "Data.Semigroup.Internal" "base" True) (C1 (MetaCons "Alt" PrefixI True) (S1 (MetaSel (Just "getAlt") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (f a))))
type Unwrapped (Alt f a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Alt f a) = f a

data Fixity #

Datatype to represent the fixity of a constructor. An infix | declaration directly corresponds to an application of Infix.

Constructors

Prefix
Infix Associativity Int

Instances

Eq Fixity	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Methods (==) :: Fixity -> Fixity -> Bool # (/=) :: Fixity -> Fixity -> Bool #
Ord Fixity	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Methods compare :: Fixity -> Fixity -> Ordering # (<) :: Fixity -> Fixity -> Bool # (<=) :: Fixity -> Fixity -> Bool # (>) :: Fixity -> Fixity -> Bool # (>=) :: Fixity -> Fixity -> Bool # max :: Fixity -> Fixity -> Fixity # min :: Fixity -> Fixity -> Fixity #
Read Fixity	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Methods readsPrec :: Int -> ReadS Fixity # readList :: ReadS [Fixity] # readPrec :: ReadPrec Fixity # readListPrec :: ReadPrec [Fixity] #
Show Fixity	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> Fixity -> ShowS # show :: Fixity -> String # showList :: [Fixity] -> ShowS #
Generic Fixity
Instance details Defined in GHC.Generics Associated Types type Rep Fixity :: Type -> Type # Methods from :: Fixity -> Rep Fixity x # to :: Rep Fixity x -> Fixity #
type Rep Fixity	Since: base-4.7.0.0
Instance details Defined in GHC.Generics type Rep Fixity = D1 (MetaData "Fixity" "GHC.Generics" "base" False) (C1 (MetaCons "Prefix" PrefixI False) (U1 :: Type -> Type) :+: C1 (MetaCons "Infix" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 Associativity) :*: S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 Int)))

data FixityI #

This variant of Fixity appears at the type level.

Since: base-4.9.0.0

Constructors

PrefixI
InfixI Associativity Nat

Instances

SingKind FixityI	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Associated Types type DemoteRep FixityI :: Type Methods fromSing :: Sing a -> DemoteRep FixityI
SingI PrefixI	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods sing :: Sing PrefixI
(SingI a, KnownNat n) => SingI (InfixI a n :: FixityI)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods sing :: Sing (InfixI a n)
data Sing (a :: FixityI)
Instance details Defined in GHC.Generics data Sing (a :: FixityI) where SPrefix :: forall (a :: FixityI). Sing PrefixI SInfix :: forall (a :: FixityI) (a1 :: Associativity) (n :: Nat). Sing a1 -> Integer -> Sing (InfixI a1 n)
type DemoteRep FixityI
Instance details Defined in GHC.Generics type DemoteRep FixityI = Fixity

data Associativity #

Datatype to represent the associativity of a constructor

Constructors

LeftAssociative
RightAssociative
NotAssociative

Instances

Bounded Associativity	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods minBound :: Associativity # maxBound :: Associativity #
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] #
Eq Associativity	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Methods (==) :: Associativity -> Associativity -> Bool # (/=) :: Associativity -> Associativity -> Bool #
Ord Associativity	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Methods compare :: Associativity -> Associativity -> Ordering # (<) :: Associativity -> Associativity -> Bool # (<=) :: Associativity -> Associativity -> Bool # (>) :: Associativity -> Associativity -> Bool # (>=) :: Associativity -> Associativity -> Bool # max :: Associativity -> Associativity -> Associativity # min :: Associativity -> Associativity -> Associativity #
Read Associativity	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Methods readsPrec :: Int -> ReadS Associativity # readList :: ReadS [Associativity] # readPrec :: ReadPrec Associativity # readListPrec :: ReadPrec [Associativity] #
Show Associativity	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> Associativity -> ShowS # show :: Associativity -> String # showList :: [Associativity] -> ShowS #
Ix Associativity	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods range :: (Associativity, Associativity) -> [Associativity] # index :: (Associativity, Associativity) -> Associativity -> Int # unsafeIndex :: (Associativity, Associativity) -> Associativity -> Int inRange :: (Associativity, Associativity) -> Associativity -> Bool # rangeSize :: (Associativity, Associativity) -> Int # unsafeRangeSize :: (Associativity, Associativity) -> Int
Generic Associativity
Instance details Defined in GHC.Generics Associated Types type Rep Associativity :: Type -> Type # Methods from :: Associativity -> Rep Associativity x # to :: Rep Associativity x -> Associativity #
SingKind Associativity	Since: base-4.0.0.0
Instance details Defined in GHC.Generics Associated Types type DemoteRep Associativity :: Type Methods fromSing :: Sing a -> DemoteRep Associativity
SingI LeftAssociative	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods sing :: Sing LeftAssociative
SingI RightAssociative	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods sing :: Sing RightAssociative
SingI NotAssociative	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods sing :: Sing NotAssociative
type Rep Associativity	Since: base-4.7.0.0
Instance details Defined in GHC.Generics type Rep Associativity = D1 (MetaData "Associativity" "GHC.Generics" "base" False) (C1 (MetaCons "LeftAssociative" PrefixI False) (U1 :: Type -> Type) :+: (C1 (MetaCons "RightAssociative" PrefixI False) (U1 :: Type -> Type) :+: C1 (MetaCons "NotAssociative" PrefixI False) (U1 :: Type -> Type)))
data Sing (a :: Associativity)
Instance details Defined in GHC.Generics data Sing (a :: Associativity) where SLeftAssociative :: forall (a :: Associativity). Sing LeftAssociative SRightAssociative :: forall (a :: Associativity). Sing RightAssociative SNotAssociative :: forall (a :: Associativity). Sing NotAssociative
type DemoteRep Associativity
Instance details Defined in GHC.Generics type DemoteRep Associativity = Associativity

data Meta #

Datatype to represent metadata associated with a datatype (MetaData), constructor (MetaCons), or field selector (MetaSel).

In MetaData n m p nt, n is the datatype's name, m is the module in which the datatype is defined, p is the package in which the datatype is defined, and nt is 'True if the datatype is a newtype.
In MetaCons n f s, n is the constructor's name, f is its fixity, and s is 'True if the constructor contains record selectors.
In MetaSel mn su ss ds, if the field uses record syntax, then mn is Just the record name. Otherwise, mn is Nothing. su and ss are the field's unpackedness and strictness annotations, and ds is the strictness that GHC infers for the field.

Since: base-4.9.0.0

Constructors

MetaData Symbol Symbol Symbol Bool
MetaCons Symbol FixityI Bool
MetaSel (Maybe Symbol) SourceUnpackedness SourceStrictness DecidedStrictness

Instances

(KnownSymbol n, SingI f, SingI r) => Constructor (MetaCons n f r :: Meta)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods conName :: t (MetaCons n f r) f0 a -> [Char] # conFixity :: t (MetaCons n f r) f0 a -> Fixity # conIsRecord :: t (MetaCons n f r) f0 a -> Bool #
(KnownSymbol n, KnownSymbol m, KnownSymbol p, SingI nt) => Datatype (MetaData n m p nt :: Meta)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods datatypeName :: t (MetaData n m p nt) f a -> [Char] # moduleName :: t (MetaData n m p nt) f a -> [Char] # packageName :: t (MetaData n m p nt) f a -> [Char] # isNewtype :: t (MetaData n m p nt) f a -> Bool #
(SingI mn, SingI su, SingI ss, SingI ds) => Selector (MetaSel mn su ss ds :: Meta)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods selName :: t (MetaSel mn su ss ds) f a -> [Char] # selSourceUnpackedness :: t (MetaSel mn su ss ds) f a -> SourceUnpackedness # selSourceStrictness :: t (MetaSel mn su ss ds) f a -> SourceStrictness # selDecidedStrictness :: t (MetaSel mn su ss ds) f a -> DecidedStrictness #

someSymbolVal :: String -> SomeSymbol #

Convert a string into an unknown type-level symbol.

Since: base-4.7.0.0

someNatVal :: Integer -> Maybe SomeNat #

Convert an integer into an unknown type-level natural.

Since: base-4.7.0.0

symbolVal :: KnownSymbol n => proxy n -> String #

Since: base-4.7.0.0

natVal :: KnownNat n => proxy n -> Integer #

Since: base-4.7.0.0

data SomeSymbol where #

This type represents unknown type-level symbols.

Constructors

SomeSymbol :: forall (n :: Symbol). KnownSymbol n => Proxy n -> SomeSymbol

Since: base-4.7.0.0

Instances

Eq SomeSymbol	Since: base-4.7.0.0
Instance details Defined in GHC.TypeLits Methods (==) :: SomeSymbol -> SomeSymbol -> Bool # (/=) :: SomeSymbol -> SomeSymbol -> Bool #
Ord SomeSymbol	Since: base-4.7.0.0
Instance details Defined in GHC.TypeLits Methods compare :: SomeSymbol -> SomeSymbol -> Ordering # (<) :: SomeSymbol -> SomeSymbol -> Bool # (<=) :: SomeSymbol -> SomeSymbol -> Bool # (>) :: SomeSymbol -> SomeSymbol -> Bool # (>=) :: SomeSymbol -> SomeSymbol -> Bool # max :: SomeSymbol -> SomeSymbol -> SomeSymbol # min :: SomeSymbol -> SomeSymbol -> SomeSymbol #
Read SomeSymbol	Since: base-4.7.0.0
Instance details Defined in GHC.TypeLits Methods readsPrec :: Int -> ReadS SomeSymbol # readList :: ReadS [SomeSymbol] # readPrec :: ReadPrec SomeSymbol # readListPrec :: ReadPrec [SomeSymbol] #
Show SomeSymbol	Since: base-4.7.0.0
Instance details Defined in GHC.TypeLits Methods showsPrec :: Int -> SomeSymbol -> ShowS # show :: SomeSymbol -> String # showList :: [SomeSymbol] -> ShowS #

data SomeNat where #

This type represents unknown type-level natural numbers.

Since: base-4.10.0.0

Constructors

SomeNat :: forall (n :: Nat). KnownNat n => Proxy n -> SomeNat

Instances

Eq SomeNat	Since: base-4.7.0.0
Instance details Defined in GHC.TypeNats Methods (==) :: SomeNat -> SomeNat -> Bool # (/=) :: SomeNat -> SomeNat -> Bool #
Ord SomeNat	Since: base-4.7.0.0
Instance details Defined in GHC.TypeNats Methods compare :: SomeNat -> SomeNat -> Ordering # (<) :: SomeNat -> SomeNat -> Bool # (<=) :: SomeNat -> SomeNat -> Bool # (>) :: SomeNat -> SomeNat -> Bool # (>=) :: SomeNat -> SomeNat -> Bool # max :: SomeNat -> SomeNat -> SomeNat # min :: SomeNat -> SomeNat -> SomeNat #
Read SomeNat	Since: base-4.7.0.0
Instance details Defined in GHC.TypeNats Methods readsPrec :: Int -> ReadS SomeNat # readList :: ReadS [SomeNat] # readPrec :: ReadPrec SomeNat # readListPrec :: ReadPrec [SomeNat] #
Show SomeNat	Since: base-4.7.0.0
Instance details Defined in GHC.TypeNats Methods showsPrec :: Int -> SomeNat -> ShowS # show :: SomeNat -> String # showList :: [SomeNat] -> ShowS #

unfoldr :: (b -> Maybe (a, b)) -> b -> [a] #

The unfoldr function is a `dual' to foldr: while foldr reduces a list to a summary value, unfoldr builds a list from a seed value. The function takes the element and returns Nothing if it is done producing the list or returns Just (a,b), in which case, a is a prepended to the list and b is used as the next element in a recursive call. For example,

iterate f == unfoldr (\x -> Just (x, f x))

In some cases, unfoldr can undo a foldr operation:

unfoldr f' (foldr f z xs) == xs

if the following holds:

f' (f x y) = Just (x,y)
f' z       = Nothing

A simple use of unfoldr:

>>> unfoldr (\b -> if b == 0 then Nothing else Just (b, b-1)) 10
[10,9,8,7,6,5,4,3,2,1]

sortBy :: (a -> a -> Ordering) -> [a] -> [a] #

The sortBy function is the non-overloaded version of sort.

>>> sortBy (\(a,_) (b,_) -> compare a b) [(2, "world"), (4, "!"), (1, "Hello")]
[(1,"Hello"),(2,"world"),(4,"!")]

sort :: Ord a => [a] -> [a] #

The sort function implements a stable sorting algorithm. It is a special case of sortBy, which allows the programmer to supply their own comparison function.

Elements are arranged from from lowest to highest, keeping duplicates in the order they appeared in the input.

>>> sort [1,6,4,3,2,5]
[1,2,3,4,5,6]

permutations :: [a] -> [[a]] #

The permutations function returns the list of all permutations of the argument.

>>> permutations "abc"
["abc","bac","cba","bca","cab","acb"]

subsequences :: [a] -> [[a]] #

The subsequences function returns the list of all subsequences of the argument.

>>> subsequences "abc"
["","a","b","ab","c","ac","bc","abc"]

tails :: [a] -> [[a]] #

The tails function returns all final segments of the argument, longest first. For example,

>>> tails "abc"
["abc","bc","c",""]

Note that tails has the following strictness property: tails _|_ = _|_ : _|_

inits :: [a] -> [[a]] #

The inits function returns all initial segments of the argument, shortest first. For example,

>>> inits "abc"
["","a","ab","abc"]

Note that inits has the following strictness property: inits (xs ++ _|_) = inits xs ++ _|_

In particular, inits _|_ = [] : _|_

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

The groupBy function is the non-overloaded version of group.

group :: Eq a => [a] -> [[a]] #

The group function takes a list and returns a list of lists such that the concatenation of the result is equal to the argument. Moreover, each sublist in the result contains only equal elements. For example,

>>> group "Mississippi"
["M","i","ss","i","ss","i","pp","i"]

It is a special case of groupBy, which allows the programmer to supply their own equality test.

genericReplicate :: Integral i => i -> a -> [a] #

The genericReplicate function is an overloaded version of replicate, which accepts any Integral value as the number of repetitions to make.

genericSplitAt :: Integral i => i -> [a] -> ([a], [a]) #

The genericSplitAt function is an overloaded version of splitAt, which accepts any Integral value as the position at which to split.

genericDrop :: Integral i => i -> [a] -> [a] #

The genericDrop function is an overloaded version of drop, which accepts any Integral value as the number of elements to drop.

genericTake :: Integral i => i -> [a] -> [a] #

The genericTake function is an overloaded version of take, which accepts any Integral value as the number of elements to take.

genericLength :: Num i => [a] -> i #

The genericLength function is an overloaded version of length. In particular, instead of returning an Int, it returns any type which is an instance of Num. It is, however, less efficient than length.

transpose :: [[a]] -> [[a]] #

The transpose function transposes the rows and columns of its argument. For example,

>>> transpose [[1,2,3],[4,5,6]]
[[1,4],[2,5],[3,6]]

If some of the rows are shorter than the following rows, their elements are skipped:

>>> transpose [[10,11],[20],[],[30,31,32]]
[[10,20,30],[11,31],[32]]

intercalate :: [a] -> [[a]] -> [a] #

intercalate xs xss is equivalent to (concat (intersperse xs xss)). It inserts the list xs in between the lists in xss and concatenates the result.

>>> intercalate ", " ["Lorem", "ipsum", "dolor"]
"Lorem, ipsum, dolor"

intersperse :: a -> [a] -> [a] #

The intersperse function takes an element and a list and `intersperses' that element between the elements of the list. For example,

>>> intersperse ',' "abcde"
"a,b,c,d,e"

isPrefixOf :: Eq a => [a] -> [a] -> Bool #

The isPrefixOf function takes two lists and returns True iff the first list is a prefix of the second.

>>> "Hello" `isPrefixOf` "Hello World!"
True

>>> "Hello" `isPrefixOf` "Wello Horld!"
False

isSeparator :: Char -> Bool #

Selects Unicode space and separator characters.

This function returns True if its argument has one of the following GeneralCategorys, or False otherwise:

These classes are defined in the Unicode Character Database, part of the Unicode standard. The same document defines what is and is not a "Separator".

Examples

Expand

Basic usage:

>>> isSeparator 'a'
False
>>> isSeparator '6'
False
>>> isSeparator ' '
True

Warning: newlines and tab characters are not considered separators.

>>> isSeparator '\n'
False
>>> isSeparator '\t'
False

But some more exotic characters are (like HTML's  ):

>>> isSeparator '\160'
True

isNumber :: Char -> Bool #

Selects Unicode numeric characters, including digits from various scripts, Roman numerals, et cetera.

This function returns True if its argument has one of the following GeneralCategorys, or False otherwise:

These classes are defined in the Unicode Character Database, part of the Unicode standard. The same document defines what is and is not a "Number".

Examples

Expand

Basic usage:

>>> isNumber 'a'
False
>>> isNumber '%'
False
>>> isNumber '3'
True

ASCII '0' through '9' are all numbers:

>>> and $ map isNumber ['0'..'9']
True

Unicode Roman numerals are "numbers" as well:

>>> isNumber 'Ⅸ'
True

isMark :: Char -> Bool #

Selects Unicode mark characters, for example accents and the like, which combine with preceding characters.

This function returns True if its argument has one of the following GeneralCategorys, or False otherwise:

These classes are defined in the Unicode Character Database, part of the Unicode standard. The same document defines what is and is not a "Mark".

Examples

Expand

Basic usage:

>>> isMark 'a'
False
>>> isMark '0'
False

Combining marks such as accent characters usually need to follow another character before they become printable:

>>> map isMark "ò"
[False,True]

Puns are not necessarily supported:

>>> isMark '✓'
False

isLetter :: Char -> Bool #

Selects alphabetic Unicode characters (lower-case, upper-case and title-case letters, plus letters of caseless scripts and modifiers letters). This function is equivalent to isAlpha.

This function returns True if its argument has one of the following GeneralCategorys, or False otherwise:

These classes are defined in the Unicode Character Database, part of the Unicode standard. The same document defines what is and is not a "Letter".

Examples

Expand

Basic usage:

>>> isLetter 'a'
True
>>> isLetter 'A'
True
>>> isLetter 'λ'
True
>>> isLetter '0'
False
>>> isLetter '%'
False
>>> isLetter '♥'
False
>>> isLetter '\31'
False

Ensure that isLetter and isAlpha are equivalent.

>>> let chars = [(chr 0)..]
>>> let letters = map isLetter chars
>>> let alphas = map isAlpha chars
>>> letters == alphas
True

digitToInt :: Char -> Int #

Convert a single digit Char to the corresponding Int. This function fails unless its argument satisfies isHexDigit, but recognises both upper- and lower-case hexadecimal digits (that is, '0'..'9', 'a'..'f', 'A'..'F').

Examples

Expand

Characters '0' through '9' are converted properly to 0..9:

>>> map digitToInt ['0'..'9']
[0,1,2,3,4,5,6,7,8,9]

Both upper- and lower-case 'A' through 'F' are converted as well, to 10..15.

>>> map digitToInt ['a'..'f']
[10,11,12,13,14,15]
>>> map digitToInt ['A'..'F']
[10,11,12,13,14,15]

Anything else throws an exception:

>>> digitToInt 'G'
*** Exception: Char.digitToInt: not a digit 'G'
>>> digitToInt '♥'
*** Exception: Char.digitToInt: not a digit '\9829'

readMaybe :: Read a => String -> Maybe a #

Parse a string using the Read instance. Succeeds if there is exactly one valid result.

>>> readMaybe "123" :: Maybe Int
Just 123

>>> readMaybe "hello" :: Maybe Int
Nothing

Since: base-4.6.0.0

readEither :: Read a => String -> Either String a #

Parse a string using the Read instance. Succeeds if there is exactly one valid result. A Left value indicates a parse error.

>>> readEither "123" :: Either String Int
Right 123

>>> readEither "hello" :: Either String Int
Left "Prelude.read: no parse"

Since: base-4.6.0.0

reads :: Read a => ReadS a #

equivalent to readsPrec with a precedence of 0.

fromRight :: b -> Either a b -> b #

Return the contents of a Right-value or a default value otherwise.

Examples

Expand

Basic usage:

>>> fromRight 1 (Right 3)
3
>>> fromRight 1 (Left "foo")
1

Since: base-4.10.0.0

fromLeft :: a -> Either a b -> a #

Return the contents of a Left-value or a default value otherwise.

Examples

Expand

Basic usage:

>>> fromLeft 1 (Left 3)
3
>>> fromLeft 1 (Right "foo")
1

Since: base-4.10.0.0

isRight :: Either a b -> Bool #

Return True if the given value is a Right-value, False otherwise.

Examples

Expand

Basic usage:

>>> isRight (Left "foo")
False
>>> isRight (Right 3)
True

Assuming a Left value signifies some sort of error, we can use isRight to write a very simple reporting function that only outputs "SUCCESS" when a computation has succeeded.

This example shows how isRight might be used to avoid pattern matching when one does not care about the value contained in the constructor:

>>> import Control.Monad ( when )
>>> let report e = when (isRight e) $ putStrLn "SUCCESS"
>>> report (Left "parse error")
>>> report (Right 1)
SUCCESS

Since: base-4.7.0.0

isLeft :: Either a b -> Bool #

Return True if the given value is a Left-value, False otherwise.

Examples

Expand

Basic usage:

>>> isLeft (Left "foo")
True
>>> isLeft (Right 3)
False

Assuming a Left value signifies some sort of error, we can use isLeft to write a very simple error-reporting function that does absolutely nothing in the case of success, and outputs "ERROR" if any error occurred.

This example shows how isLeft might be used to avoid pattern matching when one does not care about the value contained in the constructor:

>>> import Control.Monad ( when )
>>> let report e = when (isLeft e) $ putStrLn "ERROR"
>>> report (Right 1)
>>> report (Left "parse error")
ERROR

Since: base-4.7.0.0

partitionEithers :: [Either a b] -> ([a], [b]) #

Partitions a list of Either into two lists. All the Left elements are extracted, in order, to the first component of the output. Similarly the Right elements are extracted to the second component of the output.

Examples

Expand

Basic usage:

>>> let list = [ Left "foo", Right 3, Left "bar", Right 7, Left "baz" ]
>>> partitionEithers list
(["foo","bar","baz"],[3,7])

The pair returned by partitionEithers x should be the same pair as (lefts x, rights x):

>>> let list = [ Left "foo", Right 3, Left "bar", Right 7, Left "baz" ]
>>> partitionEithers list == (lefts list, rights list)
True

rights :: [Either a b] -> [b] #

Extracts from a list of Either all the Right elements. All the Right elements are extracted in order.

Examples

Expand

Basic usage:

>>> let list = [ Left "foo", Right 3, Left "bar", Right 7, Left "baz" ]
>>> rights list
[3,7]

lefts :: [Either a b] -> [a] #

Extracts from a list of Either all the Left elements. All the Left elements are extracted in order.

Examples

Expand

Basic usage:

>>> let list = [ Left "foo", Right 3, Left "bar", Right 7, Left "baz" ]
>>> lefts list
["foo","bar","baz"]

comparing :: Ord a => (b -> a) -> b -> b -> Ordering #

comparing p x y = compare (p x) (p y)

Useful combinator for use in conjunction with the xxxBy family of functions from Data.List, for example:

  ... sortBy (comparing fst) ...

newtype Down a #

The Down type allows you to reverse sort order conveniently. A value of type Down a contains a value of type a (represented as Down a). If a has an Ord instance associated with it then comparing two values thus wrapped will give you the opposite of their normal sort order. This is particularly useful when sorting in generalised list comprehensions, as in: then sortWith by Down x

Since: base-4.6.0.0

Constructors

Down a

Instances

Monad Down	Since: base-4.11.0.0
Instance details Defined in Data.Ord Methods (>>=) :: Down a -> (a -> Down b) -> Down b # (>>) :: Down a -> Down b -> Down b # return :: a -> Down a # fail :: String -> Down a #
Functor Down	Since: base-4.11.0.0
Instance details Defined in Data.Ord Methods fmap :: (a -> b) -> Down a -> Down b # (<$) :: a -> Down b -> Down a #
MonadFix Down	Since: base-4.12.0.0
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> Down a) -> Down a #
Applicative Down	Since: base-4.11.0.0
Instance details Defined in Data.Ord Methods pure :: a -> Down a # (<>) :: Down (a -> b) -> Down a -> Down b # liftA2 :: (a -> b -> c) -> Down a -> Down b -> Down c # (>) :: Down a -> Down b -> Down b # (<*) :: Down a -> Down b -> Down a #
Foldable Down	Since: base-4.12.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Down m -> m # foldMap :: Monoid m => (a -> m) -> Down a -> m # foldr :: (a -> b -> b) -> b -> Down a -> b # foldr' :: (a -> b -> b) -> b -> Down a -> b # foldl :: (b -> a -> b) -> b -> Down a -> b # foldl' :: (b -> a -> b) -> b -> Down a -> b # foldr1 :: (a -> a -> a) -> Down a -> a # foldl1 :: (a -> a -> a) -> Down a -> a # toList :: Down a -> [a] # null :: Down a -> Bool # length :: Down a -> Int # elem :: Eq a => a -> Down a -> Bool # maximum :: Ord a => Down a -> a # minimum :: Ord a => Down a -> a # sum :: Num a => Down a -> a # product :: Num a => Down a -> a #
Traversable Down	Since: base-4.12.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Down a -> f (Down b) # sequenceA :: Applicative f => Down (f a) -> f (Down a) # mapM :: Monad m => (a -> m b) -> Down a -> m (Down b) # sequence :: Monad m => Down (m a) -> m (Down a) #
Eq1 Down	Since: base-4.12.0.0
Instance details Defined in Data.Functor.Classes Methods liftEq :: (a -> b -> Bool) -> Down a -> Down b -> Bool #
Ord1 Down	Since: base-4.12.0.0
Instance details Defined in Data.Functor.Classes Methods liftCompare :: (a -> b -> Ordering) -> Down a -> Down b -> Ordering #
Read1 Down	Since: base-4.12.0.0
Instance details Defined in Data.Functor.Classes Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Down a) # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Down a] # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Down a) # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Down a] #
Show1 Down	Since: base-4.12.0.0
Instance details Defined in Data.Functor.Classes Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Down a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Down a] -> ShowS #
NFData1 Down	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf :: (a -> ()) -> Down a -> () #
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 #
Num a => Num (Down a)	Since: base-4.11.0.0
Instance details Defined in Data.Ord Methods (+) :: Down a -> Down a -> Down a # (-) :: Down a -> Down a -> Down a # (*) :: Down a -> Down a -> Down a # negate :: Down a -> Down a # abs :: Down a -> Down a # signum :: Down a -> Down a # fromInteger :: Integer -> Down a #
Ord a => Ord (Down a)	Since: base-4.6.0.0
Instance details Defined in Data.Ord Methods compare :: Down a -> Down a -> Ordering # (<) :: Down a -> Down a -> Bool # (<=) :: Down a -> Down a -> Bool # (>) :: Down a -> Down a -> Bool # (>=) :: Down a -> Down a -> Bool # max :: Down a -> Down a -> Down a # min :: Down a -> Down a -> Down a #
Read a => Read (Down a)	Since: base-4.7.0.0
Instance details Defined in Data.Ord Methods readsPrec :: Int -> ReadS (Down a) # readList :: ReadS [Down a] # readPrec :: ReadPrec (Down a) # readListPrec :: ReadPrec [Down a] #
Show a => Show (Down a)	Since: base-4.7.0.0
Instance details Defined in Data.Ord Methods showsPrec :: Int -> Down a -> ShowS # show :: Down a -> String # showList :: [Down a] -> ShowS #
Generic (Down a)
Instance details Defined in GHC.Generics Associated Types type Rep (Down a) :: Type -> Type # Methods from :: Down a -> Rep (Down a) x # to :: Rep (Down a) x -> Down a #
Semigroup a => Semigroup (Down a)	Since: base-4.11.0.0
Instance details Defined in Data.Ord Methods (<>) :: Down a -> Down a -> Down a # sconcat :: NonEmpty (Down a) -> Down a # stimes :: Integral b => b -> Down a -> Down a #
Monoid a => Monoid (Down a)	Since: base-4.11.0.0
Instance details Defined in Data.Ord Methods mempty :: Down a # mappend :: Down a -> Down a -> Down a # mconcat :: [Down a] -> Down a #
NFData a => NFData (Down a)	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Down a -> () #
Wrapped (Down a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Down a) :: Type # Methods _Wrapped' :: Iso' (Down a) (Unwrapped (Down a)) #
Generic1 Down
Instance details Defined in GHC.Generics Associated Types type Rep1 Down :: k -> Type # Methods from1 :: Down a -> Rep1 Down a # to1 :: Rep1 Down a -> Down a #
t ~ Down b => Rewrapped (Down a) t
Instance details Defined in Control.Lens.Wrapped
type Rep (Down a)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics type Rep (Down a) = D1 (MetaData "Down" "Data.Ord" "base" True) (C1 (MetaCons "Down" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 a)))
type Unwrapped (Down a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Down a) = a
type Rep1 Down	Since: base-4.12.0.0
Instance details Defined in GHC.Generics type Rep1 Down = D1 (MetaData "Down" "Data.Ord" "base" True) (C1 (MetaCons "Down" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) Par1))

data Proxy (t :: k) :: forall k. k -> Type #

Proxy is a type that holds no data, but has a phantom parameter of arbitrary type (or even kind). Its use is to provide type information, even though there is no value available of that type (or it may be too costly to create one).

Historically, Proxy :: Proxy a is a safer alternative to the 'undefined :: a' idiom.

>>> Proxy :: Proxy (Void, Int -> Int)
Proxy

Proxy can even hold types of higher kinds,

>>> Proxy :: Proxy Either
Proxy

>>> Proxy :: Proxy Functor
Proxy

>>> Proxy :: Proxy complicatedStructure
Proxy

Constructors

Proxy

Instances

Generic1 (Proxy :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 Proxy :: k -> Type # Methods from1 :: Proxy a -> Rep1 Proxy a # to1 :: Rep1 Proxy a -> Proxy a #
FunctorWithIndex Void (Proxy :: Type -> Type)
Instance details Defined in Control.Lens.Indexed Methods imap :: (Void -> a -> b) -> Proxy a -> Proxy b # imapped :: IndexedSetter Void (Proxy a) (Proxy b) a b #
FoldableWithIndex Void (Proxy :: Type -> Type)
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Void -> a -> m) -> Proxy a -> m # ifolded :: IndexedFold Void (Proxy a) a # ifoldr :: (Void -> a -> b -> b) -> b -> Proxy a -> b # ifoldl :: (Void -> b -> a -> b) -> b -> Proxy a -> b # ifoldr' :: (Void -> a -> b -> b) -> b -> Proxy a -> b # ifoldl' :: (Void -> b -> a -> b) -> b -> Proxy a -> b #
TraversableWithIndex Void (Proxy :: Type -> Type)
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => (Void -> a -> f b) -> Proxy a -> f (Proxy b) # itraversed :: IndexedTraversal Void (Proxy a) (Proxy b) a b #
Monad (Proxy :: Type -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods (>>=) :: Proxy a -> (a -> Proxy b) -> Proxy b # (>>) :: Proxy a -> Proxy b -> Proxy b # return :: a -> Proxy a # fail :: String -> Proxy a #
Functor (Proxy :: Type -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods fmap :: (a -> b) -> Proxy a -> Proxy b # (<$) :: a -> Proxy b -> Proxy a #
Applicative (Proxy :: Type -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods pure :: a -> Proxy a # (<>) :: Proxy (a -> b) -> Proxy a -> Proxy b # liftA2 :: (a -> b -> c) -> Proxy a -> Proxy b -> Proxy c # (>) :: Proxy a -> Proxy b -> Proxy b # (<*) :: Proxy a -> Proxy b -> Proxy a #
Foldable (Proxy :: Type -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Proxy m -> m # foldMap :: Monoid m => (a -> m) -> Proxy a -> m # foldr :: (a -> b -> b) -> b -> Proxy a -> b # foldr' :: (a -> b -> b) -> b -> Proxy a -> b # foldl :: (b -> a -> b) -> b -> Proxy a -> b # foldl' :: (b -> a -> b) -> b -> Proxy a -> b # foldr1 :: (a -> a -> a) -> Proxy a -> a # foldl1 :: (a -> a -> a) -> Proxy a -> a # toList :: Proxy a -> [a] # null :: Proxy a -> Bool # length :: Proxy a -> Int # elem :: Eq a => a -> Proxy a -> Bool # maximum :: Ord a => Proxy a -> a # minimum :: Ord a => Proxy a -> a # sum :: Num a => Proxy a -> a # product :: Num a => Proxy a -> a #
Traversable (Proxy :: Type -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Proxy a -> f (Proxy b) # sequenceA :: Applicative f => Proxy (f a) -> f (Proxy a) # mapM :: Monad m => (a -> m b) -> Proxy a -> m (Proxy b) # sequence :: Monad m => Proxy (m a) -> m (Proxy a) #
MonadPlus (Proxy :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Proxy Methods mzero :: Proxy a # mplus :: Proxy a -> Proxy a -> Proxy a #
Representable (Proxy :: Type -> Type)
Instance details Defined in Data.Functor.Rep Associated Types type Rep Proxy :: Type # Methods tabulate :: (Rep Proxy -> a) -> Proxy a # index :: Proxy a -> Rep Proxy -> a #
ToJSON1 (Proxy :: Type -> Type)
Instance details Defined in Data.Aeson.Types.ToJSON Methods liftToJSON :: (a -> Value) -> ([a] -> Value) -> Proxy a -> Value # liftToJSONList :: (a -> Value) -> ([a] -> Value) -> [Proxy a] -> Value # liftToEncoding :: (a -> Encoding) -> ([a] -> Encoding) -> Proxy a -> Encoding # liftToEncodingList :: (a -> Encoding) -> ([a] -> Encoding) -> [Proxy a] -> Encoding #
FromJSON1 (Proxy :: Type -> Type)
Instance details Defined in Data.Aeson.Types.FromJSON Methods liftParseJSON :: (Value -> Parser a) -> (Value -> Parser [a]) -> Value -> Parser (Proxy a) # liftParseJSONList :: (Value -> Parser a) -> (Value -> Parser [a]) -> Value -> Parser [Proxy a] #
Alternative (Proxy :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Proxy Methods empty :: Proxy a # (<\|>) :: Proxy a -> Proxy a -> Proxy a # some :: Proxy a -> Proxy [a] # many :: Proxy a -> Proxy [a] #
Eq1 (Proxy :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftEq :: (a -> b -> Bool) -> Proxy a -> Proxy b -> Bool #
Ord1 (Proxy :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftCompare :: (a -> b -> Ordering) -> Proxy a -> Proxy b -> Ordering #
Read1 (Proxy :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Proxy a) # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Proxy a] # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Proxy a) # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Proxy a] #
Show1 (Proxy :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Proxy a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Proxy a] -> ShowS #
NFData1 (Proxy :: Type -> Type)	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf :: (a -> ()) -> Proxy a -> () #
Hashable1 (Proxy :: Type -> Type)
Instance details Defined in Data.Hashable.Class Methods liftHashWithSalt :: (Int -> a -> Int) -> Int -> Proxy a -> Int #
Filterable (Proxy :: Type -> Type)
Instance details Defined in Data.Witherable Methods mapMaybe :: (a -> Maybe b) -> Proxy a -> Proxy b # catMaybes :: Proxy (Maybe a) -> Proxy a # filter :: (a -> Bool) -> Proxy a -> Proxy a #
Witherable (Proxy :: Type -> Type)
Instance details Defined in Data.Witherable Methods wither :: Applicative f => (a -> f (Maybe b)) -> Proxy a -> f (Proxy b) # witherM :: Monad m => (a -> m (Maybe b)) -> Proxy a -> m (Proxy b) # filterA :: Applicative f => (a -> f Bool) -> Proxy a -> f (Proxy a) #
Bounded (Proxy t)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods minBound :: Proxy t # maxBound :: Proxy t #
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] #
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 #
Ord (Proxy s)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods compare :: Proxy s -> Proxy s -> Ordering # (<) :: Proxy s -> Proxy s -> Bool # (<=) :: Proxy s -> Proxy s -> Bool # (>) :: Proxy s -> Proxy s -> Bool # (>=) :: Proxy s -> Proxy s -> Bool # max :: Proxy s -> Proxy s -> Proxy s # min :: Proxy s -> Proxy s -> Proxy s #
Read (Proxy t)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods readsPrec :: Int -> ReadS (Proxy t) # readList :: ReadS [Proxy t] # readPrec :: ReadPrec (Proxy t) # readListPrec :: ReadPrec [Proxy t] #
Show (Proxy s)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods showsPrec :: Int -> Proxy s -> ShowS # show :: Proxy s -> String # showList :: [Proxy s] -> ShowS #
Ix (Proxy s)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods range :: (Proxy s, Proxy s) -> [Proxy s] # index :: (Proxy s, Proxy s) -> Proxy s -> Int # unsafeIndex :: (Proxy s, Proxy s) -> Proxy s -> Int inRange :: (Proxy s, Proxy s) -> Proxy s -> Bool # rangeSize :: (Proxy s, Proxy s) -> Int # unsafeRangeSize :: (Proxy s, Proxy s) -> Int
Generic (Proxy t)
Instance details Defined in GHC.Generics Associated Types type Rep (Proxy t) :: Type -> Type # Methods from :: Proxy t -> Rep (Proxy t) x # to :: Rep (Proxy t) x -> Proxy t #
Semigroup (Proxy s)	Since: base-4.9.0.0
Instance details Defined in Data.Proxy Methods (<>) :: Proxy s -> Proxy s -> Proxy s # sconcat :: NonEmpty (Proxy s) -> Proxy s # stimes :: Integral b => b -> Proxy s -> Proxy s #
Monoid (Proxy s)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods mempty :: Proxy s # mappend :: Proxy s -> Proxy s -> Proxy s # mconcat :: [Proxy s] -> Proxy s #
Hashable (Proxy a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Proxy a -> Int # hash :: Proxy a -> Int #
ToJSON (Proxy a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Proxy a -> Value # toEncoding :: Proxy a -> Encoding # toJSONList :: [Proxy a] -> Value # toEncodingList :: [Proxy a] -> Encoding #
FromJSON (Proxy a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Proxy a) # parseJSONList :: Value -> Parser [Proxy a] #
NFData (Proxy a)	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Proxy a -> () #
type Rep1 (Proxy :: k -> Type)	Since: base-4.6.0.0
Instance details Defined in GHC.Generics type Rep1 (Proxy :: k -> Type) = D1 (MetaData "Proxy" "Data.Proxy" "base" False) (C1 (MetaCons "Proxy" PrefixI False) (U1 :: k -> Type))
type Rep (Proxy :: Type -> Type)
Instance details Defined in Data.Functor.Rep type Rep (Proxy :: Type -> Type) = Void
type Rep (Proxy t)	Since: base-4.6.0.0
Instance details Defined in GHC.Generics type Rep (Proxy t) = D1 (MetaData "Proxy" "Data.Proxy" "base" False) (C1 (MetaCons "Proxy" PrefixI False) (U1 :: Type -> Type))

repr :: (a :~: b) -> Coercion a b #

Convert propositional (nominal) equality to representational equality

coerceWith :: Coercion a b -> a -> b #

Type-safe cast, using representational equality

data Coercion (a :: k) (b :: k) :: forall k. k -> k -> Type where #

Representational equality. If Coercion a b is inhabited by some terminating value, then the type a has the same underlying representation as the type b.

To use this equality in practice, pattern-match on the Coercion a b to get out the Coercible a b instance, and then use coerce to apply it.

Since: base-4.7.0.0

Constructors

Coercion :: forall k (a :: k) (b :: k). Coercible a b => Coercion a b

Instances

TestCoercion (Coercion a :: k -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Coercion Methods testCoercion :: Coercion a a0 -> Coercion a b -> Maybe (Coercion a0 b) #
Coercible a b => Bounded (Coercion a b)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Coercion Methods minBound :: Coercion a b # maxBound :: Coercion a b #
Coercible a b => Enum (Coercion a b)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Coercion Methods succ :: Coercion a b -> Coercion a b # pred :: Coercion a b -> Coercion a b # toEnum :: Int -> Coercion a b # fromEnum :: Coercion a b -> Int # enumFrom :: Coercion a b -> [Coercion a b] # enumFromThen :: Coercion a b -> Coercion a b -> [Coercion a b] # enumFromTo :: Coercion a b -> Coercion a b -> [Coercion a b] # enumFromThenTo :: Coercion a b -> Coercion a b -> Coercion a b -> [Coercion a b] #
Eq (Coercion a b)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Coercion Methods (==) :: Coercion a b -> Coercion a b -> Bool # (/=) :: Coercion a b -> Coercion a b -> Bool #
Ord (Coercion a b)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Coercion Methods compare :: Coercion a b -> Coercion a b -> Ordering # (<) :: Coercion a b -> Coercion a b -> Bool # (<=) :: Coercion a b -> Coercion a b -> Bool # (>) :: Coercion a b -> Coercion a b -> Bool # (>=) :: Coercion a b -> Coercion a b -> Bool # max :: Coercion a b -> Coercion a b -> Coercion a b # min :: Coercion a b -> Coercion a b -> Coercion a b #
Coercible a b => Read (Coercion a b)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Coercion Methods readsPrec :: Int -> ReadS (Coercion a b) # readList :: ReadS [Coercion a b] # readPrec :: ReadPrec (Coercion a b) # readListPrec :: ReadPrec [Coercion a b] #
Show (Coercion a b)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Coercion Methods showsPrec :: Int -> Coercion a b -> ShowS # show :: Coercion a b -> String # showList :: [Coercion a b] -> ShowS #

gcastWith :: (a :~: b) -> ((a ~ b) -> r) -> r #

Generalized form of type-safe cast using propositional equality

castWith :: (a :~: b) -> a -> b #

Type-safe cast, using propositional equality

trans :: (a :~: b) -> (b :~: c) -> a :~: c #

Transitivity of equality

sym :: (a :~: b) -> b :~: a #

Symmetry of equality

data (a :: k) :~: (b :: k) :: forall k. k -> k -> Type where infix 4 #

Propositional equality. If a :~: b is inhabited by some terminating value, then the type a is the same as the type b. To use this equality in practice, pattern-match on the a :~: b to get out the Refl constructor; in the body of the pattern-match, the compiler knows that a ~ b.

Since: base-4.7.0.0

Constructors

Refl :: forall k (a :: k) (b :: k). a :~: a

Instances

TestCoercion ((:~:) a :: k -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Coercion Methods testCoercion :: (a :~: a0) -> (a :~: b) -> Maybe (Coercion a0 b) #
TestEquality ((:~:) a :: k -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Equality Methods testEquality :: (a :~: a0) -> (a :~: b) -> Maybe (a0 :~: b) #
NFData2 ((:~:) :: Type -> Type -> Type)	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf2 :: (a -> ()) -> (b -> ()) -> (a :~: b) -> () #
NFData1 ((:~:) a)	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf :: (a0 -> ()) -> (a :~: a0) -> () #
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 #
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] #
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 #
Ord (a :~: b)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Equality Methods compare :: (a :~: b) -> (a :~: b) -> Ordering # (<) :: (a :~: b) -> (a :~: b) -> Bool # (<=) :: (a :~: b) -> (a :~: b) -> Bool # (>) :: (a :~: b) -> (a :~: b) -> Bool # (>=) :: (a :~: b) -> (a :~: b) -> Bool # max :: (a :~: b) -> (a :~: b) -> a :~: b # min :: (a :~: b) -> (a :~: b) -> a :~: b #
a ~ b => Read (a :~: b)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Equality Methods readsPrec :: Int -> ReadS (a :~: b) # readList :: ReadS [a :~: b] # readPrec :: ReadPrec (a :~: b) # readListPrec :: ReadPrec [a :~: b] #
Show (a :~: b)	Since: base-4.7.0.0
Instance details Defined in Data.Type.Equality Methods showsPrec :: Int -> (a :~: b) -> ShowS # show :: (a :~: b) -> String # showList :: [a :~: b] -> ShowS #
NFData (a :~: b)	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods rnf :: (a :~: b) -> () #

type family (a :: k) == (b :: k) :: Bool where ... infix 4 #

A type family to compute Boolean equality.

Equations

(f a :: k2) == (g b :: k2) = (f == g) && (a == b)
(a :: k) == (a :: k) = True
(_1 :: k) == (_2 :: k) = False

data WordPtr #

An unsigned integral type that can be losslessly converted to and from Ptr. This type is also compatible with the C99 type uintptr_t, and can be marshalled to and from that type safely.

Instances

Bounded WordPtr
Instance details Defined in Foreign.Ptr Methods minBound :: WordPtr # maxBound :: WordPtr #
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] #
Eq WordPtr
Instance details Defined in Foreign.Ptr Methods (==) :: WordPtr -> WordPtr -> Bool # (/=) :: WordPtr -> WordPtr -> Bool #
Integral WordPtr
Instance details Defined in Foreign.Ptr Methods quot :: WordPtr -> WordPtr -> WordPtr # rem :: WordPtr -> WordPtr -> WordPtr # div :: WordPtr -> WordPtr -> WordPtr # mod :: WordPtr -> WordPtr -> WordPtr # quotRem :: WordPtr -> WordPtr -> (WordPtr, WordPtr) # divMod :: WordPtr -> WordPtr -> (WordPtr, WordPtr) # toInteger :: WordPtr -> Integer #
Num WordPtr
Instance details Defined in Foreign.Ptr Methods (+) :: WordPtr -> WordPtr -> WordPtr # (-) :: WordPtr -> WordPtr -> WordPtr # (*) :: WordPtr -> WordPtr -> WordPtr # negate :: WordPtr -> WordPtr # abs :: WordPtr -> WordPtr # signum :: WordPtr -> WordPtr # fromInteger :: Integer -> WordPtr #
Ord WordPtr
Instance details Defined in Foreign.Ptr Methods compare :: WordPtr -> WordPtr -> Ordering # (<) :: WordPtr -> WordPtr -> Bool # (<=) :: WordPtr -> WordPtr -> Bool # (>) :: WordPtr -> WordPtr -> Bool # (>=) :: WordPtr -> WordPtr -> Bool # max :: WordPtr -> WordPtr -> WordPtr # min :: WordPtr -> WordPtr -> WordPtr #
Read WordPtr
Instance details Defined in Foreign.Ptr Methods readsPrec :: Int -> ReadS WordPtr # readList :: ReadS [WordPtr] # readPrec :: ReadPrec WordPtr # readListPrec :: ReadPrec [WordPtr] #
Real WordPtr
Instance details Defined in Foreign.Ptr Methods toRational :: WordPtr -> Rational #
Show WordPtr
Instance details Defined in Foreign.Ptr Methods showsPrec :: Int -> WordPtr -> ShowS # show :: WordPtr -> String # showList :: [WordPtr] -> ShowS #
Hashable WordPtr
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> WordPtr -> Int # hash :: WordPtr -> Int #
Storable WordPtr
Instance details Defined in Foreign.Ptr Methods sizeOf :: WordPtr -> Int # alignment :: WordPtr -> Int # peekElemOff :: Ptr WordPtr -> Int -> IO WordPtr # pokeElemOff :: Ptr WordPtr -> Int -> WordPtr -> IO () # peekByteOff :: Ptr b -> Int -> IO WordPtr # pokeByteOff :: Ptr b -> Int -> WordPtr -> IO () # peek :: Ptr WordPtr -> IO WordPtr # poke :: Ptr WordPtr -> WordPtr -> IO () #
Bits WordPtr
Instance details Defined in Foreign.Ptr Methods (.&.) :: WordPtr -> WordPtr -> WordPtr # (.\|.) :: WordPtr -> WordPtr -> WordPtr # xor :: WordPtr -> WordPtr -> WordPtr # complement :: WordPtr -> WordPtr # shift :: WordPtr -> Int -> WordPtr # rotate :: WordPtr -> Int -> WordPtr # zeroBits :: WordPtr # bit :: Int -> WordPtr # setBit :: WordPtr -> Int -> WordPtr # clearBit :: WordPtr -> Int -> WordPtr # complementBit :: WordPtr -> Int -> WordPtr # testBit :: WordPtr -> Int -> Bool # bitSizeMaybe :: WordPtr -> Maybe Int # bitSize :: WordPtr -> Int # isSigned :: WordPtr -> Bool # shiftL :: WordPtr -> Int -> WordPtr # unsafeShiftL :: WordPtr -> Int -> WordPtr # shiftR :: WordPtr -> Int -> WordPtr # unsafeShiftR :: WordPtr -> Int -> WordPtr # rotateL :: WordPtr -> Int -> WordPtr # rotateR :: WordPtr -> Int -> WordPtr # popCount :: WordPtr -> Int #
FiniteBits WordPtr
Instance details Defined in Foreign.Ptr Methods finiteBitSize :: WordPtr -> Int # countLeadingZeros :: WordPtr -> Int # countTrailingZeros :: WordPtr -> Int #

data IntPtr #

A signed integral type that can be losslessly converted to and from Ptr. This type is also compatible with the C99 type intptr_t, and can be marshalled to and from that type safely.

Instances

Bounded IntPtr
Instance details Defined in Foreign.Ptr Methods minBound :: IntPtr # maxBound :: IntPtr #
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] #
Eq IntPtr
Instance details Defined in Foreign.Ptr Methods (==) :: IntPtr -> IntPtr -> Bool # (/=) :: IntPtr -> IntPtr -> Bool #
Integral IntPtr
Instance details Defined in Foreign.Ptr Methods quot :: IntPtr -> IntPtr -> IntPtr # rem :: IntPtr -> IntPtr -> IntPtr # div :: IntPtr -> IntPtr -> IntPtr # mod :: IntPtr -> IntPtr -> IntPtr # quotRem :: IntPtr -> IntPtr -> (IntPtr, IntPtr) # divMod :: IntPtr -> IntPtr -> (IntPtr, IntPtr) # toInteger :: IntPtr -> Integer #
Num IntPtr
Instance details Defined in Foreign.Ptr Methods (+) :: IntPtr -> IntPtr -> IntPtr # (-) :: IntPtr -> IntPtr -> IntPtr # (*) :: IntPtr -> IntPtr -> IntPtr # negate :: IntPtr -> IntPtr # abs :: IntPtr -> IntPtr # signum :: IntPtr -> IntPtr # fromInteger :: Integer -> IntPtr #
Ord IntPtr
Instance details Defined in Foreign.Ptr Methods compare :: IntPtr -> IntPtr -> Ordering # (<) :: IntPtr -> IntPtr -> Bool # (<=) :: IntPtr -> IntPtr -> Bool # (>) :: IntPtr -> IntPtr -> Bool # (>=) :: IntPtr -> IntPtr -> Bool # max :: IntPtr -> IntPtr -> IntPtr # min :: IntPtr -> IntPtr -> IntPtr #
Read IntPtr
Instance details Defined in Foreign.Ptr Methods readsPrec :: Int -> ReadS IntPtr # readList :: ReadS [IntPtr] # readPrec :: ReadPrec IntPtr # readListPrec :: ReadPrec [IntPtr] #
Real IntPtr
Instance details Defined in Foreign.Ptr Methods toRational :: IntPtr -> Rational #
Show IntPtr
Instance details Defined in Foreign.Ptr Methods showsPrec :: Int -> IntPtr -> ShowS # show :: IntPtr -> String # showList :: [IntPtr] -> ShowS #
Hashable IntPtr
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> IntPtr -> Int # hash :: IntPtr -> Int #
Storable IntPtr
Instance details Defined in Foreign.Ptr Methods sizeOf :: IntPtr -> Int # alignment :: IntPtr -> Int # peekElemOff :: Ptr IntPtr -> Int -> IO IntPtr # pokeElemOff :: Ptr IntPtr -> Int -> IntPtr -> IO () # peekByteOff :: Ptr b -> Int -> IO IntPtr # pokeByteOff :: Ptr b -> Int -> IntPtr -> IO () # peek :: Ptr IntPtr -> IO IntPtr # poke :: Ptr IntPtr -> IntPtr -> IO () #
Bits IntPtr
Instance details Defined in Foreign.Ptr Methods (.&.) :: IntPtr -> IntPtr -> IntPtr # (.\|.) :: IntPtr -> IntPtr -> IntPtr # xor :: IntPtr -> IntPtr -> IntPtr # complement :: IntPtr -> IntPtr # shift :: IntPtr -> Int -> IntPtr # rotate :: IntPtr -> Int -> IntPtr # zeroBits :: IntPtr # bit :: Int -> IntPtr # setBit :: IntPtr -> Int -> IntPtr # clearBit :: IntPtr -> Int -> IntPtr # complementBit :: IntPtr -> Int -> IntPtr # testBit :: IntPtr -> Int -> Bool # bitSizeMaybe :: IntPtr -> Maybe Int # bitSize :: IntPtr -> Int # isSigned :: IntPtr -> Bool # shiftL :: IntPtr -> Int -> IntPtr # unsafeShiftL :: IntPtr -> Int -> IntPtr # shiftR :: IntPtr -> Int -> IntPtr # unsafeShiftR :: IntPtr -> Int -> IntPtr # rotateL :: IntPtr -> Int -> IntPtr # rotateR :: IntPtr -> Int -> IntPtr # popCount :: IntPtr -> Int #
FiniteBits IntPtr
Instance details Defined in Foreign.Ptr Methods finiteBitSize :: IntPtr -> Int # countLeadingZeros :: IntPtr -> Int # countTrailingZeros :: IntPtr -> Int #

data IOMode #

See openFile

Constructors

ReadMode
WriteMode
AppendMode
ReadWriteMode

Instances

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] #
Eq IOMode	Since: base-4.2.0.0
Instance details Defined in GHC.IO.IOMode Methods (==) :: IOMode -> IOMode -> Bool # (/=) :: IOMode -> IOMode -> Bool #
Ord IOMode	Since: base-4.2.0.0
Instance details Defined in GHC.IO.IOMode Methods compare :: IOMode -> IOMode -> Ordering # (<) :: IOMode -> IOMode -> Bool # (<=) :: IOMode -> IOMode -> Bool # (>) :: IOMode -> IOMode -> Bool # (>=) :: IOMode -> IOMode -> Bool # max :: IOMode -> IOMode -> IOMode # min :: IOMode -> IOMode -> IOMode #
Read IOMode	Since: base-4.2.0.0
Instance details Defined in GHC.IO.IOMode Methods readsPrec :: Int -> ReadS IOMode # readList :: ReadS [IOMode] # readPrec :: ReadPrec IOMode # readListPrec :: ReadPrec [IOMode] #
Show IOMode	Since: base-4.2.0.0
Instance details Defined in GHC.IO.IOMode Methods showsPrec :: Int -> IOMode -> ShowS # show :: IOMode -> String # showList :: [IOMode] -> ShowS #
Ix IOMode	Since: base-4.2.0.0
Instance details Defined in GHC.IO.IOMode Methods range :: (IOMode, IOMode) -> [IOMode] # index :: (IOMode, IOMode) -> IOMode -> Int # unsafeIndex :: (IOMode, IOMode) -> IOMode -> Int inRange :: (IOMode, IOMode) -> IOMode -> Bool # rangeSize :: (IOMode, IOMode) -> Int # unsafeRangeSize :: (IOMode, IOMode) -> Int

class Storable a #

The member functions of this class facilitate writing values of primitive types to raw memory (which may have been allocated with the above mentioned routines) and reading values from blocks of raw memory. The class, furthermore, includes support for computing the storage requirements and alignment restrictions of storable types.

Memory addresses are represented as values of type Ptr a, for some a which is an instance of class Storable. The type argument to Ptr helps provide some valuable type safety in FFI code (you can't mix pointers of different types without an explicit cast), while helping the Haskell type system figure out which marshalling method is needed for a given pointer.

All marshalling between Haskell and a foreign language ultimately boils down to translating Haskell data structures into the binary representation of a corresponding data structure of the foreign language and vice versa. To code this marshalling in Haskell, it is necessary to manipulate primitive data types stored in unstructured memory blocks. The class Storable facilitates this manipulation on all types for which it is instantiated, which are the standard basic types of Haskell, the fixed size Int types (Int8, Int16, Int32, Int64), the fixed size Word types (Word8, Word16, Word32, Word64), StablePtr, all types from Foreign.C.Types, as well as Ptr.

Minimal complete definition

sizeOf, alignment, (peek | peekElemOff | peekByteOff), (poke | pokeElemOff | pokeByteOff)

Instances

Storable Bool	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Bool -> Int # alignment :: Bool -> Int # peekElemOff :: Ptr Bool -> Int -> IO Bool # pokeElemOff :: Ptr Bool -> Int -> Bool -> IO () # peekByteOff :: Ptr b -> Int -> IO Bool # pokeByteOff :: Ptr b -> Int -> Bool -> IO () # peek :: Ptr Bool -> IO Bool # poke :: Ptr Bool -> Bool -> IO () #
Storable Char	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Char -> Int # alignment :: Char -> Int # peekElemOff :: Ptr Char -> Int -> IO Char # pokeElemOff :: Ptr Char -> Int -> Char -> IO () # peekByteOff :: Ptr b -> Int -> IO Char # pokeByteOff :: Ptr b -> Int -> Char -> IO () # peek :: Ptr Char -> IO Char # poke :: Ptr Char -> Char -> IO () #
Storable Double	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Double -> Int # alignment :: Double -> Int # peekElemOff :: Ptr Double -> Int -> IO Double # pokeElemOff :: Ptr Double -> Int -> Double -> IO () # peekByteOff :: Ptr b -> Int -> IO Double # pokeByteOff :: Ptr b -> Int -> Double -> IO () # peek :: Ptr Double -> IO Double # poke :: Ptr Double -> Double -> IO () #
Storable Float	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Float -> Int # alignment :: Float -> Int # peekElemOff :: Ptr Float -> Int -> IO Float # pokeElemOff :: Ptr Float -> Int -> Float -> IO () # peekByteOff :: Ptr b -> Int -> IO Float # pokeByteOff :: Ptr b -> Int -> Float -> IO () # peek :: Ptr Float -> IO Float # poke :: Ptr Float -> Float -> IO () #
Storable Int	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Int -> Int # alignment :: Int -> Int # peekElemOff :: Ptr Int -> Int -> IO Int # pokeElemOff :: Ptr Int -> Int -> Int -> IO () # peekByteOff :: Ptr b -> Int -> IO Int # pokeByteOff :: Ptr b -> Int -> Int -> IO () # peek :: Ptr Int -> IO Int # poke :: Ptr Int -> Int -> IO () #
Storable Int8	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Int8 -> Int # alignment :: Int8 -> Int # peekElemOff :: Ptr Int8 -> Int -> IO Int8 # pokeElemOff :: Ptr Int8 -> Int -> Int8 -> IO () # peekByteOff :: Ptr b -> Int -> IO Int8 # pokeByteOff :: Ptr b -> Int -> Int8 -> IO () # peek :: Ptr Int8 -> IO Int8 # poke :: Ptr Int8 -> Int8 -> IO () #
Storable Int16	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Int16 -> Int # alignment :: Int16 -> Int # peekElemOff :: Ptr Int16 -> Int -> IO Int16 # pokeElemOff :: Ptr Int16 -> Int -> Int16 -> IO () # peekByteOff :: Ptr b -> Int -> IO Int16 # pokeByteOff :: Ptr b -> Int -> Int16 -> IO () # peek :: Ptr Int16 -> IO Int16 # poke :: Ptr Int16 -> Int16 -> IO () #
Storable Int32	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Int32 -> Int # alignment :: Int32 -> Int # peekElemOff :: Ptr Int32 -> Int -> IO Int32 # pokeElemOff :: Ptr Int32 -> Int -> Int32 -> IO () # peekByteOff :: Ptr b -> Int -> IO Int32 # pokeByteOff :: Ptr b -> Int -> Int32 -> IO () # peek :: Ptr Int32 -> IO Int32 # poke :: Ptr Int32 -> Int32 -> IO () #
Storable Int64	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Int64 -> Int # alignment :: Int64 -> Int # peekElemOff :: Ptr Int64 -> Int -> IO Int64 # pokeElemOff :: Ptr Int64 -> Int -> Int64 -> IO () # peekByteOff :: Ptr b -> Int -> IO Int64 # pokeByteOff :: Ptr b -> Int -> Int64 -> IO () # peek :: Ptr Int64 -> IO Int64 # poke :: Ptr Int64 -> Int64 -> IO () #
Storable Word	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Word -> Int # alignment :: Word -> Int # peekElemOff :: Ptr Word -> Int -> IO Word # pokeElemOff :: Ptr Word -> Int -> Word -> IO () # peekByteOff :: Ptr b -> Int -> IO Word # pokeByteOff :: Ptr b -> Int -> Word -> IO () # peek :: Ptr Word -> IO Word # poke :: Ptr Word -> Word -> IO () #
Storable Word8	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Word8 -> Int # alignment :: Word8 -> Int # peekElemOff :: Ptr Word8 -> Int -> IO Word8 # pokeElemOff :: Ptr Word8 -> Int -> Word8 -> IO () # peekByteOff :: Ptr b -> Int -> IO Word8 # pokeByteOff :: Ptr b -> Int -> Word8 -> IO () # peek :: Ptr Word8 -> IO Word8 # poke :: Ptr Word8 -> Word8 -> IO () #
Storable Word16	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Word16 -> Int # alignment :: Word16 -> Int # peekElemOff :: Ptr Word16 -> Int -> IO Word16 # pokeElemOff :: Ptr Word16 -> Int -> Word16 -> IO () # peekByteOff :: Ptr b -> Int -> IO Word16 # pokeByteOff :: Ptr b -> Int -> Word16 -> IO () # peek :: Ptr Word16 -> IO Word16 # poke :: Ptr Word16 -> Word16 -> IO () #
Storable Word32	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Word32 -> Int # alignment :: Word32 -> Int # peekElemOff :: Ptr Word32 -> Int -> IO Word32 # pokeElemOff :: Ptr Word32 -> Int -> Word32 -> IO () # peekByteOff :: Ptr b -> Int -> IO Word32 # pokeByteOff :: Ptr b -> Int -> Word32 -> IO () # peek :: Ptr Word32 -> IO Word32 # poke :: Ptr Word32 -> Word32 -> IO () #
Storable Word64	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Word64 -> Int # alignment :: Word64 -> Int # peekElemOff :: Ptr Word64 -> Int -> IO Word64 # pokeElemOff :: Ptr Word64 -> Int -> Word64 -> IO () # peekByteOff :: Ptr b -> Int -> IO Word64 # pokeByteOff :: Ptr b -> Int -> Word64 -> IO () # peek :: Ptr Word64 -> IO Word64 # poke :: Ptr Word64 -> Word64 -> IO () #
Storable ()	Since: base-4.9.0.0
Instance details Defined in Foreign.Storable Methods sizeOf :: () -> Int # alignment :: () -> Int # peekElemOff :: Ptr () -> Int -> IO () # pokeElemOff :: Ptr () -> Int -> () -> IO () # peekByteOff :: Ptr b -> Int -> IO () # pokeByteOff :: Ptr b -> Int -> () -> IO () # peek :: Ptr () -> IO () # poke :: Ptr () -> () -> IO () #
Storable CDev
Instance details Defined in System.Posix.Types Methods sizeOf :: CDev -> Int # alignment :: CDev -> Int # peekElemOff :: Ptr CDev -> Int -> IO CDev # pokeElemOff :: Ptr CDev -> Int -> CDev -> IO () # peekByteOff :: Ptr b -> Int -> IO CDev # pokeByteOff :: Ptr b -> Int -> CDev -> IO () # peek :: Ptr CDev -> IO CDev # poke :: Ptr CDev -> CDev -> IO () #
Storable CIno
Instance details Defined in System.Posix.Types Methods sizeOf :: CIno -> Int # alignment :: CIno -> Int # peekElemOff :: Ptr CIno -> Int -> IO CIno # pokeElemOff :: Ptr CIno -> Int -> CIno -> IO () # peekByteOff :: Ptr b -> Int -> IO CIno # pokeByteOff :: Ptr b -> Int -> CIno -> IO () # peek :: Ptr CIno -> IO CIno # poke :: Ptr CIno -> CIno -> IO () #
Storable CMode
Instance details Defined in System.Posix.Types Methods sizeOf :: CMode -> Int # alignment :: CMode -> Int # peekElemOff :: Ptr CMode -> Int -> IO CMode # pokeElemOff :: Ptr CMode -> Int -> CMode -> IO () # peekByteOff :: Ptr b -> Int -> IO CMode # pokeByteOff :: Ptr b -> Int -> CMode -> IO () # peek :: Ptr CMode -> IO CMode # poke :: Ptr CMode -> CMode -> IO () #
Storable COff
Instance details Defined in System.Posix.Types Methods sizeOf :: COff -> Int # alignment :: COff -> Int # peekElemOff :: Ptr COff -> Int -> IO COff # pokeElemOff :: Ptr COff -> Int -> COff -> IO () # peekByteOff :: Ptr b -> Int -> IO COff # pokeByteOff :: Ptr b -> Int -> COff -> IO () # peek :: Ptr COff -> IO COff # poke :: Ptr COff -> COff -> IO () #
Storable CPid
Instance details Defined in System.Posix.Types Methods sizeOf :: CPid -> Int # alignment :: CPid -> Int # peekElemOff :: Ptr CPid -> Int -> IO CPid # pokeElemOff :: Ptr CPid -> Int -> CPid -> IO () # peekByteOff :: Ptr b -> Int -> IO CPid # pokeByteOff :: Ptr b -> Int -> CPid -> IO () # peek :: Ptr CPid -> IO CPid # poke :: Ptr CPid -> CPid -> IO () #
Storable CSsize
Instance details Defined in System.Posix.Types Methods sizeOf :: CSsize -> Int # alignment :: CSsize -> Int # peekElemOff :: Ptr CSsize -> Int -> IO CSsize # pokeElemOff :: Ptr CSsize -> Int -> CSsize -> IO () # peekByteOff :: Ptr b -> Int -> IO CSsize # pokeByteOff :: Ptr b -> Int -> CSsize -> IO () # peek :: Ptr CSsize -> IO CSsize # poke :: Ptr CSsize -> CSsize -> IO () #
Storable CGid
Instance details Defined in System.Posix.Types Methods sizeOf :: CGid -> Int # alignment :: CGid -> Int # peekElemOff :: Ptr CGid -> Int -> IO CGid # pokeElemOff :: Ptr CGid -> Int -> CGid -> IO () # peekByteOff :: Ptr b -> Int -> IO CGid # pokeByteOff :: Ptr b -> Int -> CGid -> IO () # peek :: Ptr CGid -> IO CGid # poke :: Ptr CGid -> CGid -> IO () #
Storable CNlink
Instance details Defined in System.Posix.Types Methods sizeOf :: CNlink -> Int # alignment :: CNlink -> Int # peekElemOff :: Ptr CNlink -> Int -> IO CNlink # pokeElemOff :: Ptr CNlink -> Int -> CNlink -> IO () # peekByteOff :: Ptr b -> Int -> IO CNlink # pokeByteOff :: Ptr b -> Int -> CNlink -> IO () # peek :: Ptr CNlink -> IO CNlink # poke :: Ptr CNlink -> CNlink -> IO () #
Storable CUid
Instance details Defined in System.Posix.Types Methods sizeOf :: CUid -> Int # alignment :: CUid -> Int # peekElemOff :: Ptr CUid -> Int -> IO CUid # pokeElemOff :: Ptr CUid -> Int -> CUid -> IO () # peekByteOff :: Ptr b -> Int -> IO CUid # pokeByteOff :: Ptr b -> Int -> CUid -> IO () # peek :: Ptr CUid -> IO CUid # poke :: Ptr CUid -> CUid -> IO () #
Storable CCc
Instance details Defined in System.Posix.Types Methods sizeOf :: CCc -> Int # alignment :: CCc -> Int # peekElemOff :: Ptr CCc -> Int -> IO CCc # pokeElemOff :: Ptr CCc -> Int -> CCc -> IO () # peekByteOff :: Ptr b -> Int -> IO CCc # pokeByteOff :: Ptr b -> Int -> CCc -> IO () # peek :: Ptr CCc -> IO CCc # poke :: Ptr CCc -> CCc -> IO () #
Storable CSpeed
Instance details Defined in System.Posix.Types Methods sizeOf :: CSpeed -> Int # alignment :: CSpeed -> Int # peekElemOff :: Ptr CSpeed -> Int -> IO CSpeed # pokeElemOff :: Ptr CSpeed -> Int -> CSpeed -> IO () # peekByteOff :: Ptr b -> Int -> IO CSpeed # pokeByteOff :: Ptr b -> Int -> CSpeed -> IO () # peek :: Ptr CSpeed -> IO CSpeed # poke :: Ptr CSpeed -> CSpeed -> IO () #
Storable CTcflag
Instance details Defined in System.Posix.Types Methods sizeOf :: CTcflag -> Int # alignment :: CTcflag -> Int # peekElemOff :: Ptr CTcflag -> Int -> IO CTcflag # pokeElemOff :: Ptr CTcflag -> Int -> CTcflag -> IO () # peekByteOff :: Ptr b -> Int -> IO CTcflag # pokeByteOff :: Ptr b -> Int -> CTcflag -> IO () # peek :: Ptr CTcflag -> IO CTcflag # poke :: Ptr CTcflag -> CTcflag -> IO () #
Storable CRLim
Instance details Defined in System.Posix.Types Methods sizeOf :: CRLim -> Int # alignment :: CRLim -> Int # peekElemOff :: Ptr CRLim -> Int -> IO CRLim # pokeElemOff :: Ptr CRLim -> Int -> CRLim -> IO () # peekByteOff :: Ptr b -> Int -> IO CRLim # pokeByteOff :: Ptr b -> Int -> CRLim -> IO () # peek :: Ptr CRLim -> IO CRLim # poke :: Ptr CRLim -> CRLim -> IO () #
Storable CBlkSize
Instance details Defined in System.Posix.Types Methods sizeOf :: CBlkSize -> Int # alignment :: CBlkSize -> Int # peekElemOff :: Ptr CBlkSize -> Int -> IO CBlkSize # pokeElemOff :: Ptr CBlkSize -> Int -> CBlkSize -> IO () # peekByteOff :: Ptr b -> Int -> IO CBlkSize # pokeByteOff :: Ptr b -> Int -> CBlkSize -> IO () # peek :: Ptr CBlkSize -> IO CBlkSize # poke :: Ptr CBlkSize -> CBlkSize -> IO () #
Storable CBlkCnt
Instance details Defined in System.Posix.Types Methods sizeOf :: CBlkCnt -> Int # alignment :: CBlkCnt -> Int # peekElemOff :: Ptr CBlkCnt -> Int -> IO CBlkCnt # pokeElemOff :: Ptr CBlkCnt -> Int -> CBlkCnt -> IO () # peekByteOff :: Ptr b -> Int -> IO CBlkCnt # pokeByteOff :: Ptr b -> Int -> CBlkCnt -> IO () # peek :: Ptr CBlkCnt -> IO CBlkCnt # poke :: Ptr CBlkCnt -> CBlkCnt -> IO () #
Storable CClockId
Instance details Defined in System.Posix.Types Methods sizeOf :: CClockId -> Int # alignment :: CClockId -> Int # peekElemOff :: Ptr CClockId -> Int -> IO CClockId # pokeElemOff :: Ptr CClockId -> Int -> CClockId -> IO () # peekByteOff :: Ptr b -> Int -> IO CClockId # pokeByteOff :: Ptr b -> Int -> CClockId -> IO () # peek :: Ptr CClockId -> IO CClockId # poke :: Ptr CClockId -> CClockId -> IO () #
Storable CFsBlkCnt
Instance details Defined in System.Posix.Types Methods sizeOf :: CFsBlkCnt -> Int # alignment :: CFsBlkCnt -> Int # peekElemOff :: Ptr CFsBlkCnt -> Int -> IO CFsBlkCnt # pokeElemOff :: Ptr CFsBlkCnt -> Int -> CFsBlkCnt -> IO () # peekByteOff :: Ptr b -> Int -> IO CFsBlkCnt # pokeByteOff :: Ptr b -> Int -> CFsBlkCnt -> IO () # peek :: Ptr CFsBlkCnt -> IO CFsBlkCnt # poke :: Ptr CFsBlkCnt -> CFsBlkCnt -> IO () #
Storable CFsFilCnt
Instance details Defined in System.Posix.Types Methods sizeOf :: CFsFilCnt -> Int # alignment :: CFsFilCnt -> Int # peekElemOff :: Ptr CFsFilCnt -> Int -> IO CFsFilCnt # pokeElemOff :: Ptr CFsFilCnt -> Int -> CFsFilCnt -> IO () # peekByteOff :: Ptr b -> Int -> IO CFsFilCnt # pokeByteOff :: Ptr b -> Int -> CFsFilCnt -> IO () # peek :: Ptr CFsFilCnt -> IO CFsFilCnt # poke :: Ptr CFsFilCnt -> CFsFilCnt -> IO () #
Storable CId
Instance details Defined in System.Posix.Types Methods sizeOf :: CId -> Int # alignment :: CId -> Int # peekElemOff :: Ptr CId -> Int -> IO CId # pokeElemOff :: Ptr CId -> Int -> CId -> IO () # peekByteOff :: Ptr b -> Int -> IO CId # pokeByteOff :: Ptr b -> Int -> CId -> IO () # peek :: Ptr CId -> IO CId # poke :: Ptr CId -> CId -> IO () #
Storable CKey
Instance details Defined in System.Posix.Types Methods sizeOf :: CKey -> Int # alignment :: CKey -> Int # peekElemOff :: Ptr CKey -> Int -> IO CKey # pokeElemOff :: Ptr CKey -> Int -> CKey -> IO () # peekByteOff :: Ptr b -> Int -> IO CKey # pokeByteOff :: Ptr b -> Int -> CKey -> IO () # peek :: Ptr CKey -> IO CKey # poke :: Ptr CKey -> CKey -> IO () #
Storable CTimer
Instance details Defined in System.Posix.Types Methods sizeOf :: CTimer -> Int # alignment :: CTimer -> Int # peekElemOff :: Ptr CTimer -> Int -> IO CTimer # pokeElemOff :: Ptr CTimer -> Int -> CTimer -> IO () # peekByteOff :: Ptr b -> Int -> IO CTimer # pokeByteOff :: Ptr b -> Int -> CTimer -> IO () # peek :: Ptr CTimer -> IO CTimer # poke :: Ptr CTimer -> CTimer -> IO () #
Storable Fd
Instance details Defined in System.Posix.Types Methods sizeOf :: Fd -> Int # alignment :: Fd -> Int # peekElemOff :: Ptr Fd -> Int -> IO Fd # pokeElemOff :: Ptr Fd -> Int -> Fd -> IO () # peekByteOff :: Ptr b -> Int -> IO Fd # pokeByteOff :: Ptr b -> Int -> Fd -> IO () # peek :: Ptr Fd -> IO Fd # poke :: Ptr Fd -> Fd -> IO () #
Storable CChar
Instance details Defined in Foreign.C.Types Methods sizeOf :: CChar -> Int # alignment :: CChar -> Int # peekElemOff :: Ptr CChar -> Int -> IO CChar # pokeElemOff :: Ptr CChar -> Int -> CChar -> IO () # peekByteOff :: Ptr b -> Int -> IO CChar # pokeByteOff :: Ptr b -> Int -> CChar -> IO () # peek :: Ptr CChar -> IO CChar # poke :: Ptr CChar -> CChar -> IO () #
Storable CSChar
Instance details Defined in Foreign.C.Types Methods sizeOf :: CSChar -> Int # alignment :: CSChar -> Int # peekElemOff :: Ptr CSChar -> Int -> IO CSChar # pokeElemOff :: Ptr CSChar -> Int -> CSChar -> IO () # peekByteOff :: Ptr b -> Int -> IO CSChar # pokeByteOff :: Ptr b -> Int -> CSChar -> IO () # peek :: Ptr CSChar -> IO CSChar # poke :: Ptr CSChar -> CSChar -> IO () #
Storable CUChar
Instance details Defined in Foreign.C.Types Methods sizeOf :: CUChar -> Int # alignment :: CUChar -> Int # peekElemOff :: Ptr CUChar -> Int -> IO CUChar # pokeElemOff :: Ptr CUChar -> Int -> CUChar -> IO () # peekByteOff :: Ptr b -> Int -> IO CUChar # pokeByteOff :: Ptr b -> Int -> CUChar -> IO () # peek :: Ptr CUChar -> IO CUChar # poke :: Ptr CUChar -> CUChar -> IO () #
Storable CShort
Instance details Defined in Foreign.C.Types Methods sizeOf :: CShort -> Int # alignment :: CShort -> Int # peekElemOff :: Ptr CShort -> Int -> IO CShort # pokeElemOff :: Ptr CShort -> Int -> CShort -> IO () # peekByteOff :: Ptr b -> Int -> IO CShort # pokeByteOff :: Ptr b -> Int -> CShort -> IO () # peek :: Ptr CShort -> IO CShort # poke :: Ptr CShort -> CShort -> IO () #
Storable CUShort
Instance details Defined in Foreign.C.Types Methods sizeOf :: CUShort -> Int # alignment :: CUShort -> Int # peekElemOff :: Ptr CUShort -> Int -> IO CUShort # pokeElemOff :: Ptr CUShort -> Int -> CUShort -> IO () # peekByteOff :: Ptr b -> Int -> IO CUShort # pokeByteOff :: Ptr b -> Int -> CUShort -> IO () # peek :: Ptr CUShort -> IO CUShort # poke :: Ptr CUShort -> CUShort -> IO () #
Storable CInt
Instance details Defined in Foreign.C.Types Methods sizeOf :: CInt -> Int # alignment :: CInt -> Int # peekElemOff :: Ptr CInt -> Int -> IO CInt # pokeElemOff :: Ptr CInt -> Int -> CInt -> IO () # peekByteOff :: Ptr b -> Int -> IO CInt # pokeByteOff :: Ptr b -> Int -> CInt -> IO () # peek :: Ptr CInt -> IO CInt # poke :: Ptr CInt -> CInt -> IO () #
Storable CUInt
Instance details Defined in Foreign.C.Types Methods sizeOf :: CUInt -> Int # alignment :: CUInt -> Int # peekElemOff :: Ptr CUInt -> Int -> IO CUInt # pokeElemOff :: Ptr CUInt -> Int -> CUInt -> IO () # peekByteOff :: Ptr b -> Int -> IO CUInt # pokeByteOff :: Ptr b -> Int -> CUInt -> IO () # peek :: Ptr CUInt -> IO CUInt # poke :: Ptr CUInt -> CUInt -> IO () #
Storable CLong
Instance details Defined in Foreign.C.Types Methods sizeOf :: CLong -> Int # alignment :: CLong -> Int # peekElemOff :: Ptr CLong -> Int -> IO CLong # pokeElemOff :: Ptr CLong -> Int -> CLong -> IO () # peekByteOff :: Ptr b -> Int -> IO CLong # pokeByteOff :: Ptr b -> Int -> CLong -> IO () # peek :: Ptr CLong -> IO CLong # poke :: Ptr CLong -> CLong -> IO () #
Storable CULong
Instance details Defined in Foreign.C.Types Methods sizeOf :: CULong -> Int # alignment :: CULong -> Int # peekElemOff :: Ptr CULong -> Int -> IO CULong # pokeElemOff :: Ptr CULong -> Int -> CULong -> IO () # peekByteOff :: Ptr b -> Int -> IO CULong # pokeByteOff :: Ptr b -> Int -> CULong -> IO () # peek :: Ptr CULong -> IO CULong # poke :: Ptr CULong -> CULong -> IO () #
Storable CLLong
Instance details Defined in Foreign.C.Types Methods sizeOf :: CLLong -> Int # alignment :: CLLong -> Int # peekElemOff :: Ptr CLLong -> Int -> IO CLLong # pokeElemOff :: Ptr CLLong -> Int -> CLLong -> IO () # peekByteOff :: Ptr b -> Int -> IO CLLong # pokeByteOff :: Ptr b -> Int -> CLLong -> IO () # peek :: Ptr CLLong -> IO CLLong # poke :: Ptr CLLong -> CLLong -> IO () #
Storable CULLong
Instance details Defined in Foreign.C.Types Methods sizeOf :: CULLong -> Int # alignment :: CULLong -> Int # peekElemOff :: Ptr CULLong -> Int -> IO CULLong # pokeElemOff :: Ptr CULLong -> Int -> CULLong -> IO () # peekByteOff :: Ptr b -> Int -> IO CULLong # pokeByteOff :: Ptr b -> Int -> CULLong -> IO () # peek :: Ptr CULLong -> IO CULLong # poke :: Ptr CULLong -> CULLong -> IO () #
Storable CBool
Instance details Defined in Foreign.C.Types Methods sizeOf :: CBool -> Int # alignment :: CBool -> Int # peekElemOff :: Ptr CBool -> Int -> IO CBool # pokeElemOff :: Ptr CBool -> Int -> CBool -> IO () # peekByteOff :: Ptr b -> Int -> IO CBool # pokeByteOff :: Ptr b -> Int -> CBool -> IO () # peek :: Ptr CBool -> IO CBool # poke :: Ptr CBool -> CBool -> IO () #
Storable CFloat
Instance details Defined in Foreign.C.Types Methods sizeOf :: CFloat -> Int # alignment :: CFloat -> Int # peekElemOff :: Ptr CFloat -> Int -> IO CFloat # pokeElemOff :: Ptr CFloat -> Int -> CFloat -> IO () # peekByteOff :: Ptr b -> Int -> IO CFloat # pokeByteOff :: Ptr b -> Int -> CFloat -> IO () # peek :: Ptr CFloat -> IO CFloat # poke :: Ptr CFloat -> CFloat -> IO () #
Storable CDouble
Instance details Defined in Foreign.C.Types Methods sizeOf :: CDouble -> Int # alignment :: CDouble -> Int # peekElemOff :: Ptr CDouble -> Int -> IO CDouble # pokeElemOff :: Ptr CDouble -> Int -> CDouble -> IO () # peekByteOff :: Ptr b -> Int -> IO CDouble # pokeByteOff :: Ptr b -> Int -> CDouble -> IO () # peek :: Ptr CDouble -> IO CDouble # poke :: Ptr CDouble -> CDouble -> IO () #
Storable CPtrdiff
Instance details Defined in Foreign.C.Types Methods sizeOf :: CPtrdiff -> Int # alignment :: CPtrdiff -> Int # peekElemOff :: Ptr CPtrdiff -> Int -> IO CPtrdiff # pokeElemOff :: Ptr CPtrdiff -> Int -> CPtrdiff -> IO () # peekByteOff :: Ptr b -> Int -> IO CPtrdiff # pokeByteOff :: Ptr b -> Int -> CPtrdiff -> IO () # peek :: Ptr CPtrdiff -> IO CPtrdiff # poke :: Ptr CPtrdiff -> CPtrdiff -> IO () #
Storable CSize
Instance details Defined in Foreign.C.Types Methods sizeOf :: CSize -> Int # alignment :: CSize -> Int # peekElemOff :: Ptr CSize -> Int -> IO CSize # pokeElemOff :: Ptr CSize -> Int -> CSize -> IO () # peekByteOff :: Ptr b -> Int -> IO CSize # pokeByteOff :: Ptr b -> Int -> CSize -> IO () # peek :: Ptr CSize -> IO CSize # poke :: Ptr CSize -> CSize -> IO () #
Storable CWchar
Instance details Defined in Foreign.C.Types Methods sizeOf :: CWchar -> Int # alignment :: CWchar -> Int # peekElemOff :: Ptr CWchar -> Int -> IO CWchar # pokeElemOff :: Ptr CWchar -> Int -> CWchar -> IO () # peekByteOff :: Ptr b -> Int -> IO CWchar # pokeByteOff :: Ptr b -> Int -> CWchar -> IO () # peek :: Ptr CWchar -> IO CWchar # poke :: Ptr CWchar -> CWchar -> IO () #
Storable CSigAtomic
Instance details Defined in Foreign.C.Types Methods sizeOf :: CSigAtomic -> Int # alignment :: CSigAtomic -> Int # peekElemOff :: Ptr CSigAtomic -> Int -> IO CSigAtomic # pokeElemOff :: Ptr CSigAtomic -> Int -> CSigAtomic -> IO () # peekByteOff :: Ptr b -> Int -> IO CSigAtomic # pokeByteOff :: Ptr b -> Int -> CSigAtomic -> IO () # peek :: Ptr CSigAtomic -> IO CSigAtomic # poke :: Ptr CSigAtomic -> CSigAtomic -> IO () #
Storable CClock
Instance details Defined in Foreign.C.Types Methods sizeOf :: CClock -> Int # alignment :: CClock -> Int # peekElemOff :: Ptr CClock -> Int -> IO CClock # pokeElemOff :: Ptr CClock -> Int -> CClock -> IO () # peekByteOff :: Ptr b -> Int -> IO CClock # pokeByteOff :: Ptr b -> Int -> CClock -> IO () # peek :: Ptr CClock -> IO CClock # poke :: Ptr CClock -> CClock -> IO () #
Storable CTime
Instance details Defined in Foreign.C.Types Methods sizeOf :: CTime -> Int # alignment :: CTime -> Int # peekElemOff :: Ptr CTime -> Int -> IO CTime # pokeElemOff :: Ptr CTime -> Int -> CTime -> IO () # peekByteOff :: Ptr b -> Int -> IO CTime # pokeByteOff :: Ptr b -> Int -> CTime -> IO () # peek :: Ptr CTime -> IO CTime # poke :: Ptr CTime -> CTime -> IO () #
Storable CUSeconds
Instance details Defined in Foreign.C.Types Methods sizeOf :: CUSeconds -> Int # alignment :: CUSeconds -> Int # peekElemOff :: Ptr CUSeconds -> Int -> IO CUSeconds # pokeElemOff :: Ptr CUSeconds -> Int -> CUSeconds -> IO () # peekByteOff :: Ptr b -> Int -> IO CUSeconds # pokeByteOff :: Ptr b -> Int -> CUSeconds -> IO () # peek :: Ptr CUSeconds -> IO CUSeconds # poke :: Ptr CUSeconds -> CUSeconds -> IO () #
Storable CSUSeconds
Instance details Defined in Foreign.C.Types Methods sizeOf :: CSUSeconds -> Int # alignment :: CSUSeconds -> Int # peekElemOff :: Ptr CSUSeconds -> Int -> IO CSUSeconds # pokeElemOff :: Ptr CSUSeconds -> Int -> CSUSeconds -> IO () # peekByteOff :: Ptr b -> Int -> IO CSUSeconds # pokeByteOff :: Ptr b -> Int -> CSUSeconds -> IO () # peek :: Ptr CSUSeconds -> IO CSUSeconds # poke :: Ptr CSUSeconds -> CSUSeconds -> IO () #
Storable CIntPtr
Instance details Defined in Foreign.C.Types Methods sizeOf :: CIntPtr -> Int # alignment :: CIntPtr -> Int # peekElemOff :: Ptr CIntPtr -> Int -> IO CIntPtr # pokeElemOff :: Ptr CIntPtr -> Int -> CIntPtr -> IO () # peekByteOff :: Ptr b -> Int -> IO CIntPtr # pokeByteOff :: Ptr b -> Int -> CIntPtr -> IO () # peek :: Ptr CIntPtr -> IO CIntPtr # poke :: Ptr CIntPtr -> CIntPtr -> IO () #
Storable CUIntPtr
Instance details Defined in Foreign.C.Types Methods sizeOf :: CUIntPtr -> Int # alignment :: CUIntPtr -> Int # peekElemOff :: Ptr CUIntPtr -> Int -> IO CUIntPtr # pokeElemOff :: Ptr CUIntPtr -> Int -> CUIntPtr -> IO () # peekByteOff :: Ptr b -> Int -> IO CUIntPtr # pokeByteOff :: Ptr b -> Int -> CUIntPtr -> IO () # peek :: Ptr CUIntPtr -> IO CUIntPtr # poke :: Ptr CUIntPtr -> CUIntPtr -> IO () #
Storable CIntMax
Instance details Defined in Foreign.C.Types Methods sizeOf :: CIntMax -> Int # alignment :: CIntMax -> Int # peekElemOff :: Ptr CIntMax -> Int -> IO CIntMax # pokeElemOff :: Ptr CIntMax -> Int -> CIntMax -> IO () # peekByteOff :: Ptr b -> Int -> IO CIntMax # pokeByteOff :: Ptr b -> Int -> CIntMax -> IO () # peek :: Ptr CIntMax -> IO CIntMax # poke :: Ptr CIntMax -> CIntMax -> IO () #
Storable CUIntMax
Instance details Defined in Foreign.C.Types Methods sizeOf :: CUIntMax -> Int # alignment :: CUIntMax -> Int # peekElemOff :: Ptr CUIntMax -> Int -> IO CUIntMax # pokeElemOff :: Ptr CUIntMax -> Int -> CUIntMax -> IO () # peekByteOff :: Ptr b -> Int -> IO CUIntMax # pokeByteOff :: Ptr b -> Int -> CUIntMax -> IO () # peek :: Ptr CUIntMax -> IO CUIntMax # poke :: Ptr CUIntMax -> CUIntMax -> IO () #
Storable WordPtr
Instance details Defined in Foreign.Ptr Methods sizeOf :: WordPtr -> Int # alignment :: WordPtr -> Int # peekElemOff :: Ptr WordPtr -> Int -> IO WordPtr # pokeElemOff :: Ptr WordPtr -> Int -> WordPtr -> IO () # peekByteOff :: Ptr b -> Int -> IO WordPtr # pokeByteOff :: Ptr b -> Int -> WordPtr -> IO () # peek :: Ptr WordPtr -> IO WordPtr # poke :: Ptr WordPtr -> WordPtr -> IO () #
Storable IntPtr
Instance details Defined in Foreign.Ptr Methods sizeOf :: IntPtr -> Int # alignment :: IntPtr -> Int # peekElemOff :: Ptr IntPtr -> Int -> IO IntPtr # pokeElemOff :: Ptr IntPtr -> Int -> IntPtr -> IO () # peekByteOff :: Ptr b -> Int -> IO IntPtr # pokeByteOff :: Ptr b -> Int -> IntPtr -> IO () # peek :: Ptr IntPtr -> IO IntPtr # poke :: Ptr IntPtr -> IntPtr -> IO () #
Storable Fingerprint	Since: base-4.4.0.0
Instance details Defined in Foreign.Storable Methods sizeOf :: Fingerprint -> Int # alignment :: Fingerprint -> Int # peekElemOff :: Ptr Fingerprint -> Int -> IO Fingerprint # pokeElemOff :: Ptr Fingerprint -> Int -> Fingerprint -> IO () # peekByteOff :: Ptr b -> Int -> IO Fingerprint # pokeByteOff :: Ptr b -> Int -> Fingerprint -> IO () # peek :: Ptr Fingerprint -> IO Fingerprint # poke :: Ptr Fingerprint -> Fingerprint -> IO () #
Storable UUID
Instance details Defined in Data.UUID.Types.Internal Methods sizeOf :: UUID -> Int # alignment :: UUID -> Int # peekElemOff :: Ptr UUID -> Int -> IO UUID # pokeElemOff :: Ptr UUID -> Int -> UUID -> IO () # peekByteOff :: Ptr b -> Int -> IO UUID # pokeByteOff :: Ptr b -> Int -> UUID -> IO () # peek :: Ptr UUID -> IO UUID # poke :: Ptr UUID -> UUID -> IO () #
Storable CodePoint
Instance details Defined in Data.Text.Encoding Methods sizeOf :: CodePoint -> Int # alignment :: CodePoint -> Int # peekElemOff :: Ptr CodePoint -> Int -> IO CodePoint # pokeElemOff :: Ptr CodePoint -> Int -> CodePoint -> IO () # peekByteOff :: Ptr b -> Int -> IO CodePoint # pokeByteOff :: Ptr b -> Int -> CodePoint -> IO () # peek :: Ptr CodePoint -> IO CodePoint # poke :: Ptr CodePoint -> CodePoint -> IO () #
Storable DecoderState
Instance details Defined in Data.Text.Encoding Methods sizeOf :: DecoderState -> Int # alignment :: DecoderState -> Int # peekElemOff :: Ptr DecoderState -> Int -> IO DecoderState # pokeElemOff :: Ptr DecoderState -> Int -> DecoderState -> IO () # peekByteOff :: Ptr b -> Int -> IO DecoderState # pokeByteOff :: Ptr b -> Int -> DecoderState -> IO () # peek :: Ptr DecoderState -> IO DecoderState # poke :: Ptr DecoderState -> DecoderState -> IO () #
(Storable a, Integral a) => Storable (Ratio a)	Since: base-4.8.0.0
Instance details Defined in Foreign.Storable Methods sizeOf :: Ratio a -> Int # alignment :: Ratio a -> Int # peekElemOff :: Ptr (Ratio a) -> Int -> IO (Ratio a) # pokeElemOff :: Ptr (Ratio a) -> Int -> Ratio a -> IO () # peekByteOff :: Ptr b -> Int -> IO (Ratio a) # pokeByteOff :: Ptr b -> Int -> Ratio a -> IO () # peek :: Ptr (Ratio a) -> IO (Ratio a) # poke :: Ptr (Ratio a) -> Ratio a -> IO () #
Storable (StablePtr a)	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: StablePtr a -> Int # alignment :: StablePtr a -> Int # peekElemOff :: Ptr (StablePtr a) -> Int -> IO (StablePtr a) # pokeElemOff :: Ptr (StablePtr a) -> Int -> StablePtr a -> IO () # peekByteOff :: Ptr b -> Int -> IO (StablePtr a) # pokeByteOff :: Ptr b -> Int -> StablePtr a -> IO () # peek :: Ptr (StablePtr a) -> IO (StablePtr a) # poke :: Ptr (StablePtr a) -> StablePtr a -> IO () #
Storable (Ptr a)	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Ptr a -> Int # alignment :: Ptr a -> Int # peekElemOff :: Ptr (Ptr a) -> Int -> IO (Ptr a) # pokeElemOff :: Ptr (Ptr a) -> Int -> Ptr a -> IO () # peekByteOff :: Ptr b -> Int -> IO (Ptr a) # pokeByteOff :: Ptr b -> Int -> Ptr a -> IO () # peek :: Ptr (Ptr a) -> IO (Ptr a) # poke :: Ptr (Ptr a) -> Ptr a -> IO () #
Storable (FunPtr a)	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: FunPtr a -> Int # alignment :: FunPtr a -> Int # peekElemOff :: Ptr (FunPtr a) -> Int -> IO (FunPtr a) # pokeElemOff :: Ptr (FunPtr a) -> Int -> FunPtr a -> IO () # peekByteOff :: Ptr b -> Int -> IO (FunPtr a) # pokeByteOff :: Ptr b -> Int -> FunPtr a -> IO () # peek :: Ptr (FunPtr a) -> IO (FunPtr a) # poke :: Ptr (FunPtr a) -> FunPtr a -> IO () #
Storable a => Storable (Complex a)	Since: base-4.8.0.0
Instance details Defined in Data.Complex Methods sizeOf :: Complex a -> Int # alignment :: Complex a -> Int # peekElemOff :: Ptr (Complex a) -> Int -> IO (Complex a) # pokeElemOff :: Ptr (Complex a) -> Int -> Complex a -> IO () # peekByteOff :: Ptr b -> Int -> IO (Complex a) # pokeByteOff :: Ptr b -> Int -> Complex a -> IO () # peek :: Ptr (Complex a) -> IO (Complex a) # poke :: Ptr (Complex a) -> Complex a -> IO () #
Storable a => Storable (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods sizeOf :: Identity a -> Int # alignment :: Identity a -> Int # peekElemOff :: Ptr (Identity a) -> Int -> IO (Identity a) # pokeElemOff :: Ptr (Identity a) -> Int -> Identity a -> IO () # peekByteOff :: Ptr b -> Int -> IO (Identity a) # pokeByteOff :: Ptr b -> Int -> Identity a -> IO () # peek :: Ptr (Identity a) -> IO (Identity a) # poke :: Ptr (Identity a) -> Identity a -> IO () #
Prim a => Storable (PrimStorable a)
Instance details Defined in Data.Primitive.Types Methods sizeOf :: PrimStorable a -> Int # alignment :: PrimStorable a -> Int # peekElemOff :: Ptr (PrimStorable a) -> Int -> IO (PrimStorable a) # pokeElemOff :: Ptr (PrimStorable a) -> Int -> PrimStorable a -> IO () # peekByteOff :: Ptr b -> Int -> IO (PrimStorable a) # pokeByteOff :: Ptr b -> Int -> PrimStorable a -> IO () # peek :: Ptr (PrimStorable a) -> IO (PrimStorable a) # poke :: Ptr (PrimStorable a) -> PrimStorable a -> IO () #
Storable a => Storable (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods sizeOf :: Const a b -> Int # alignment :: Const a b -> Int # peekElemOff :: Ptr (Const a b) -> Int -> IO (Const a b) # pokeElemOff :: Ptr (Const a b) -> Int -> Const a b -> IO () # peekByteOff :: Ptr b0 -> Int -> IO (Const a b) # pokeByteOff :: Ptr b0 -> Int -> Const a b -> IO () # peek :: Ptr (Const a b) -> IO (Const a b) # poke :: Ptr (Const a b) -> Const a b -> IO () #
Storable a => Storable (Tagged s a)
Instance details Defined in Data.Tagged Methods sizeOf :: Tagged s a -> Int # alignment :: Tagged s a -> Int # peekElemOff :: Ptr (Tagged s a) -> Int -> IO (Tagged s a) # pokeElemOff :: Ptr (Tagged s a) -> Int -> Tagged s a -> IO () # peekByteOff :: Ptr b -> Int -> IO (Tagged s a) # pokeByteOff :: Ptr b -> Int -> Tagged s a -> IO () # peek :: Ptr (Tagged s a) -> IO (Tagged s a) # poke :: Ptr (Tagged s a) -> Tagged s a -> IO () #

readLitChar :: ReadS Char #

Read a string representation of a character, using Haskell source-language escape conventions, and convert it to the character that it encodes. For example:

readLitChar "\\nHello"  =  [('\n', "Hello")]

lexLitChar :: ReadS String #

Read a string representation of a character, using Haskell source-language escape conventions. For example:

lexLitChar  "\\nHello"  =  [("\\n", "Hello")]

byteSwap64 :: Word64 -> Word64 #

Reverse order of bytes in Word64.

Since: base-4.7.0.0

byteSwap32 :: Word32 -> Word32 #

Reverse order of bytes in Word32.

Since: base-4.7.0.0

byteSwap16 :: Word16 -> Word16 #

Swap bytes in Word16.

Since: base-4.7.0.0

toTitle :: Char -> Char #

Convert a letter to the corresponding title-case or upper-case letter, if any. (Title case differs from upper case only for a small number of ligature letters.) Any other character is returned unchanged.

toUpper :: Char -> Char #

Convert a letter to the corresponding upper-case letter, if any. Any other character is returned unchanged.

toLower :: Char -> Char #

Convert a letter to the corresponding lower-case letter, if any. Any other character is returned unchanged.

isLower :: Char -> Bool #

Selects lower-case alphabetic Unicode characters (letters).

isUpper :: Char -> Bool #

Selects upper-case or title-case alphabetic Unicode characters (letters). Title case is used by a small number of letter ligatures like the single-character form of Lj.

isPrint :: Char -> Bool #

Selects printable Unicode characters (letters, numbers, marks, punctuation, symbols and spaces).

isControl :: Char -> Bool #

Selects control characters, which are the non-printing characters of the Latin-1 subset of Unicode.

isAlphaNum :: Char -> Bool #

Selects alphabetic or numeric Unicode characters.

Note that numeric digits outside the ASCII range, as well as numeric characters which aren't digits, are selected by this function but not by isDigit. Such characters may be part of identifiers but are not used by the printer and reader to represent numbers.

isSymbol :: Char -> Bool #

Selects Unicode symbol characters, including mathematical and currency symbols.

This function returns True if its argument has one of the following GeneralCategorys, or False otherwise:

These classes are defined in the Unicode Character Database, part of the Unicode standard. The same document defines what is and is not a "Symbol".

Examples

Expand

Basic usage:

>>> isSymbol 'a'
False
>>> isSymbol '6'
False
>>> isSymbol '='
True

The definition of "math symbol" may be a little counter-intuitive depending on one's background:

>>> isSymbol '+'
True
>>> isSymbol '-'
False

isPunctuation :: Char -> Bool #

Selects Unicode punctuation characters, including various kinds of connectors, brackets and quotes.

This function returns True if its argument has one of the following GeneralCategorys, or False otherwise:

These classes are defined in the Unicode Character Database, part of the Unicode standard. The same document defines what is and is not a "Punctuation".

Examples

Expand

Basic usage:

>>> isPunctuation 'a'
False
>>> isPunctuation '7'
False
>>> isPunctuation '♥'
False
>>> isPunctuation '"'
True
>>> isPunctuation '?'
True
>>> isPunctuation '—'
True

isHexDigit :: Char -> Bool #

Selects ASCII hexadecimal digits, i.e. '0'..'9', 'a'..'f', 'A'..'F'.

isOctDigit :: Char -> Bool #

Selects ASCII octal digits, i.e. '0'..'7'.

isAsciiUpper :: Char -> Bool #

Selects ASCII upper-case letters, i.e. characters satisfying both isAscii and isUpper.

isAsciiLower :: Char -> Bool #

Selects ASCII lower-case letters, i.e. characters satisfying both isAscii and isLower.

isLatin1 :: Char -> Bool #

Selects the first 256 characters of the Unicode character set, corresponding to the ISO 8859-1 (Latin-1) character set.

isAscii :: Char -> Bool #

Selects the first 128 characters of the Unicode character set, corresponding to the ASCII character set.

generalCategory :: Char -> GeneralCategory #

The Unicode general category of the character. This relies on the Enum instance of GeneralCategory, which must remain in the same order as the categories are presented in the Unicode standard.

Examples

Expand

Basic usage:

>>> generalCategory 'a'
LowercaseLetter
>>> generalCategory 'A'
UppercaseLetter
>>> generalCategory '0'
DecimalNumber
>>> generalCategory '%'
OtherPunctuation
>>> generalCategory '♥'
OtherSymbol
>>> generalCategory '\31'
Control
>>> generalCategory ' '
Space

data GeneralCategory #

Unicode General Categories (column 2 of the UnicodeData table) in the order they are listed in the Unicode standard (the Unicode Character Database, in particular).

Examples

Expand

Basic usage:

>>> :t OtherLetter
OtherLetter :: GeneralCategory

Eq instance:

>>> UppercaseLetter == UppercaseLetter
True
>>> UppercaseLetter == LowercaseLetter
False

Ord instance:

>>> NonSpacingMark <= MathSymbol
True

Enum instance:

>>> enumFromTo ModifierLetter SpacingCombiningMark
[ModifierLetter,OtherLetter,NonSpacingMark,SpacingCombiningMark]

Read instance:

>>> read "DashPunctuation" :: GeneralCategory
DashPunctuation
>>> read "17" :: GeneralCategory
*** Exception: Prelude.read: no parse

Show instance:

>>> show EnclosingMark
"EnclosingMark"

Bounded instance:

>>> minBound :: GeneralCategory
UppercaseLetter
>>> maxBound :: GeneralCategory
NotAssigned

Ix instance:

>>> import Data.Ix ( index )
>>> index (OtherLetter,Control) FinalQuote
12
>>> index (OtherLetter,Control) Format
*** Exception: Error in array index

Constructors

UppercaseLetter	Lu: Letter, Uppercase
LowercaseLetter	Ll: Letter, Lowercase
TitlecaseLetter	Lt: Letter, Titlecase
ModifierLetter	Lm: Letter, Modifier
OtherLetter	Lo: Letter, Other
NonSpacingMark	Mn: Mark, Non-Spacing
SpacingCombiningMark	Mc: Mark, Spacing Combining
EnclosingMark	Me: Mark, Enclosing
DecimalNumber	Nd: Number, Decimal
LetterNumber	Nl: Number, Letter
OtherNumber	No: Number, Other
ConnectorPunctuation	Pc: Punctuation, Connector
DashPunctuation	Pd: Punctuation, Dash
OpenPunctuation	Ps: Punctuation, Open
ClosePunctuation	Pe: Punctuation, Close
InitialQuote	Pi: Punctuation, Initial quote
FinalQuote	Pf: Punctuation, Final quote
OtherPunctuation	Po: Punctuation, Other
MathSymbol	Sm: Symbol, Math
CurrencySymbol	Sc: Symbol, Currency
ModifierSymbol	Sk: Symbol, Modifier
OtherSymbol	So: Symbol, Other
Space	Zs: Separator, Space
LineSeparator	Zl: Separator, Line
ParagraphSeparator	Zp: Separator, Paragraph
Control	Cc: Other, Control
Format	Cf: Other, Format
Surrogate	Cs: Other, Surrogate
PrivateUse	Co: Other, Private Use
NotAssigned	Cn: Other, Not Assigned

Instances

Bounded GeneralCategory	Since: base-2.1
Instance details Defined in GHC.Unicode Methods minBound :: GeneralCategory # maxBound :: GeneralCategory #
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] #
Eq GeneralCategory	Since: base-2.1
Instance details Defined in GHC.Unicode Methods (==) :: GeneralCategory -> GeneralCategory -> Bool # (/=) :: GeneralCategory -> GeneralCategory -> Bool #
Ord GeneralCategory	Since: base-2.1
Instance details Defined in GHC.Unicode Methods compare :: GeneralCategory -> GeneralCategory -> Ordering # (<) :: GeneralCategory -> GeneralCategory -> Bool # (<=) :: GeneralCategory -> GeneralCategory -> Bool # (>) :: GeneralCategory -> GeneralCategory -> Bool # (>=) :: GeneralCategory -> GeneralCategory -> Bool # max :: GeneralCategory -> GeneralCategory -> GeneralCategory # min :: GeneralCategory -> GeneralCategory -> GeneralCategory #
Read GeneralCategory	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS GeneralCategory # readList :: ReadS [GeneralCategory] # readPrec :: ReadPrec GeneralCategory # readListPrec :: ReadPrec [GeneralCategory] #
Show GeneralCategory	Since: base-2.1
Instance details Defined in GHC.Unicode Methods showsPrec :: Int -> GeneralCategory -> ShowS # show :: GeneralCategory -> String # showList :: [GeneralCategory] -> ShowS #
Ix GeneralCategory	Since: base-2.1
Instance details Defined in GHC.Unicode Methods range :: (GeneralCategory, GeneralCategory) -> [GeneralCategory] # index :: (GeneralCategory, GeneralCategory) -> GeneralCategory -> Int # unsafeIndex :: (GeneralCategory, GeneralCategory) -> GeneralCategory -> Int inRange :: (GeneralCategory, GeneralCategory) -> GeneralCategory -> Bool # rangeSize :: (GeneralCategory, GeneralCategory) -> Int # unsafeRangeSize :: (GeneralCategory, GeneralCategory) -> Int

runST :: (forall s. ST s a) -> a #

Return the value computed by a state transformer computation. The forall ensures that the internal state used by the ST computation is inaccessible to the rest of the program.

toIntegralSized :: (Integral a, Integral b, Bits a, Bits b) => a -> Maybe b #

Attempt to convert an Integral type a to an Integral type b using the size of the types as measured by Bits methods.

A simpler version of this function is:

toIntegral :: (Integral a, Integral b) => a -> Maybe b
toIntegral x
  | toInteger x == y = Just (fromInteger y)
  | otherwise        = Nothing
  where
    y = toInteger x

This version requires going through Integer, which can be inefficient. However, toIntegralSized is optimized to allow GHC to statically determine the relative type sizes (as measured by bitSizeMaybe and isSigned) and avoid going through Integer for many types. (The implementation uses fromIntegral, which is itself optimized with rules for base types but may go through Integer for some type pairs.)

Since: base-4.8.0.0

popCountDefault :: (Bits a, Num a) => a -> Int #

Default implementation for popCount.

This implementation is intentionally naive. Instances are expected to provide an optimized implementation for their size.

Since: base-4.6.0.0

testBitDefault :: (Bits a, Num a) => a -> Int -> Bool #

Default implementation for testBit.

Note that: testBitDefault x i = (x .&. bit i) /= 0

Since: base-4.6.0.0

bitDefault :: (Bits a, Num a) => Int -> a #

Default implementation for bit.

Note that: bitDefault i = 1 shiftL i

Since: base-4.6.0.0

class Eq a => Bits a where #

The Bits class defines bitwise operations over integral types.

Bits are numbered from 0 with bit 0 being the least significant bit.

Minimal complete definition

(.&.), (.|.), xor, complement, (shift | shiftL, shiftR), (rotate | rotateL, rotateR), bitSize, bitSizeMaybe, isSigned, testBit, bit, popCount

Methods

(.&.) :: a -> a -> a infixl 7 #

Bitwise "and"

(.|.) :: a -> a -> a infixl 5 #

Bitwise "or"

xor :: a -> a -> a infixl 6 #

Bitwise "xor"

complement :: a -> a #

Reverse all the bits in the argument

shift :: a -> Int -> a infixl 8 #

shift x i shifts x left by i bits if i is positive, or right by -i bits otherwise. Right shifts perform sign extension on signed number types; i.e. they fill the top bits with 1 if the x is negative and with 0 otherwise.

An instance can define either this unified shift or shiftL and shiftR, depending on which is more convenient for the type in question.

rotate :: a -> Int -> a infixl 8 #

rotate x i rotates x left by i bits if i is positive, or right by -i bits otherwise.

For unbounded types like Integer, rotate is equivalent to shift.

An instance can define either this unified rotate or rotateL and rotateR, depending on which is more convenient for the type in question.

zeroBits :: a #

zeroBits is the value with all bits unset.

The following laws ought to hold (for all valid bit indices n):

```
clearBit zeroBits n == zeroBits
```
```
setBit   zeroBits n == bit n
```
```
testBit  zeroBits n == False
```
```
popCount zeroBits   == 0
```

This method uses clearBit (bit 0) 0 as its default implementation (which ought to be equivalent to zeroBits for types which possess a 0th bit).

Since: base-4.7.0.0

bit :: Int -> a #

bit i is a value with the ith bit set and all other bits clear.

Can be implemented using bitDefault if a is also an instance of Num.

Examples

Expand

Replace the contents of a Maybe Int with a constant String:

>>> Nothing $> "foo"
Nothing
>>> Just 90210 $> "foo"
Just "foo"

Replace the contents of an Either Int Int with a constant String, resulting in an Either Int String:

>>> Left 8675309 $> "foo"
Left 8675309
>>> Right 8675309 $> "foo"
Right "foo"

Replace each element of a list with a constant String:

>>> [1,2,3] $> "foo"
["foo","foo","foo"]

Replace the second element of a pair with a constant String:

>>> (1,2) $> "foo"
(1,"foo")

Since: base-4.7.0.0

(<&>) :: Functor f => f a -> (a -> b) -> f b infixl 1 #

Flipped version of <$>.

(<&>) = flip fmap

Examples

Expand

Apply (+1) to a list, a Just and a Right:

>>> Just 2 <&> (+1)
Just 3

>>> [1,2,3] <&> (+1)
[2,3,4]

>>> Right 3 <&> (+1)
Right 4

Since: base-4.11.0.0

lcm :: Integral a => a -> a -> a #

lcm x y is the smallest positive integer that both x and y divide.

gcd :: Integral a => a -> a -> a #

gcd x y is the non-negative factor of both x and y of which every common factor of x and y is also a factor; for example gcd 4 2 = 2, gcd (-4) 6 = 2, gcd 0 4 = 4. gcd 0 0 = 0. (That is, the common divisor that is "greatest" in the divisibility preordering.)

Note: Since for signed fixed-width integer types, abs minBound < 0, the result may be negative if one of the arguments is minBound (and necessarily is if the other is 0 or minBound) for such types.

(^^) :: (Fractional a, Integral b) => a -> b -> a infixr 8 #

raise a number to an integral power

(^) :: (Num a, Integral b) => a -> b -> a infixr 8 #

raise a number to a non-negative integral power

odd :: Integral a => a -> Bool #

even :: Integral a => a -> Bool #

denominator :: Ratio a -> a #

Extract the denominator of the ratio in reduced form: the numerator and denominator have no common factor and the denominator is positive.

numerator :: Ratio a -> a #

Extract the numerator of the ratio in reduced form: the numerator and denominator have no common factor and the denominator is positive.

(%) :: Integral a => a -> a -> Ratio a infixl 7 #

Forms the ratio of two integral numbers.

chr :: Int -> Char #

The toEnum method restricted to the type Char.

intToDigit :: Int -> Char #

Convert an Int in the range 0..15 to the corresponding single digit Char. This function fails on other inputs, and generates lower-case hexadecimal digits.

showLitChar :: Char -> ShowS #

Convert a character to a string using only printable characters, using Haskell source-language escape conventions. For example:

showLitChar '\n' s  =  "\\n" ++ s

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

unzip transforms a list of pairs into a list of first components and a list of second components.

zipWith :: (a -> b -> c) -> [a] -> [b] -> [c] #

zipWith generalises zip by zipping with the function given as the first argument, instead of a tupling function. For example, zipWith (+) is applied to two lists to produce the list of corresponding sums.

zipWith is right-lazy:

zipWith f [] _|_ = []

reverse :: [a] -> [a] #

reverse xs returns the elements of xs in reverse order. xs must be finite.

break :: (a -> Bool) -> [a] -> ([a], [a]) #

break, applied to a predicate p and a list xs, returns a tuple where first element is longest prefix (possibly empty) of xs of elements that do not satisfy p and second element is the remainder of the list:

break (> 3) [1,2,3,4,1,2,3,4] == ([1,2,3],[4,1,2,3,4])
break (< 9) [1,2,3] == ([],[1,2,3])
break (> 9) [1,2,3] == ([1,2,3],[])

break p is equivalent to span (not . p).

splitAt :: Int -> [a] -> ([a], [a]) #

splitAt n xs returns a tuple where first element is xs prefix of length n and second element is the remainder of the list:

splitAt 6 "Hello World!" == ("Hello ","World!")
splitAt 3 [1,2,3,4,5] == ([1,2,3],[4,5])
splitAt 1 [1,2,3] == ([1],[2,3])
splitAt 3 [1,2,3] == ([1,2,3],[])
splitAt 4 [1,2,3] == ([1,2,3],[])
splitAt 0 [1,2,3] == ([],[1,2,3])
splitAt (-1) [1,2,3] == ([],[1,2,3])

It is equivalent to (take n xs, drop n xs) when n is not _|_ (splitAt _|_ xs = _|_). splitAt is an instance of the more general genericSplitAt, in which n may be of any integral type.

drop :: Int -> [a] -> [a] #

drop n xs returns the suffix of xs after the first n elements, or [] if n > length xs:

drop 6 "Hello World!" == "World!"
drop 3 [1,2,3,4,5] == [4,5]
drop 3 [1,2] == []
drop 3 [] == []
drop (-1) [1,2] == [1,2]
drop 0 [1,2] == [1,2]

It is an instance of the more general genericDrop, in which n may be of any integral type.

take :: Int -> [a] -> [a] #

take n, applied to a list xs, returns the prefix of xs of length n, or xs itself if n > length xs:

take 5 "Hello World!" == "Hello"
take 3 [1,2,3,4,5] == [1,2,3]
take 3 [1,2] == [1,2]
take 3 [] == []
take (-1) [1,2] == []
take 0 [1,2] == []

It is an instance of the more general genericTake, in which n may be of any integral type.

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

dropWhile p xs returns the suffix remaining after takeWhile p xs:

dropWhile (< 3) [1,2,3,4,5,1,2,3] == [3,4,5,1,2,3]
dropWhile (< 9) [1,2,3] == []
dropWhile (< 0) [1,2,3] == [1,2,3]

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

takeWhile, applied to a predicate p and a list xs, returns the longest prefix (possibly empty) of xs of elements that satisfy p:

takeWhile (< 3) [1,2,3,4,1,2,3,4] == [1,2]
takeWhile (< 9) [1,2,3] == [1,2,3]
takeWhile (< 0) [1,2,3] == []

cycle :: [a] -> [a] #

cycle ties a finite list into a circular one, or equivalently, the infinite repetition of the original list. It is the identity on infinite lists.

replicate :: Int -> a -> [a] #

replicate n x is a list of length n with x the value of every element. It is an instance of the more general genericReplicate, in which n may be of any integral type.

repeat :: a -> [a] #

repeat x is an infinite list, with x the value of every element.

iterate :: (a -> a) -> a -> [a] #

iterate f x returns an infinite list of repeated applications of f to x:

iterate f x == [x, f x, f (f x), ...]

Note that iterate is lazy, potentially leading to thunk build-up if the consumer doesn't force each iterate. See 'iterate\'' for a strict variant of this function.

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

scanr is the right-to-left dual of scanl. Note that

head (scanr f z xs) == foldr f z xs.

scanl' :: (b -> a -> b) -> b -> [a] -> [b] #

A strictly accumulating version of scanl

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

scanl is similar to foldl, but returns a list of successive reduced values from the left:

scanl f z [x1, x2, ...] == [z, z `f` x1, (z `f` x1) `f` x2, ...]

Note that

last (scanl f z xs) == foldl f z xs.

listToMaybe :: [a] -> Maybe a #

The listToMaybe function returns Nothing on an empty list or Just a where a is the first element of the list.

Examples

Expand

Basic usage:

>>> listToMaybe []
Nothing

>>> listToMaybe [9]
Just 9

>>> listToMaybe [1,2,3]
Just 1

Composing maybeToList with listToMaybe should be the identity on singleton/empty lists:

>>> maybeToList $ listToMaybe [5]
[5]
>>> maybeToList $ listToMaybe []
[]

But not on lists with more than one element:

>>> maybeToList $ listToMaybe [1,2,3]
[1]

maybeToList :: Maybe a -> [a] #

The maybeToList function returns an empty list when given Nothing or a singleton list when not given Nothing.

Examples

Expand

Basic usage:

>>> maybeToList (Just 7)
[7]

>>> maybeToList Nothing
[]

One can use maybeToList to avoid pattern matching when combined with a function that (safely) works on lists:

>>> import Text.Read ( readMaybe )
>>> sum $ maybeToList (readMaybe "3")
3
>>> sum $ maybeToList (readMaybe "")
0

fromMaybe :: a -> Maybe a -> a #

The fromMaybe function takes a default value and and Maybe value. If the Maybe is Nothing, it returns the default values; otherwise, it returns the value contained in the Maybe.

Examples

Expand

Basic usage:

>>> fromMaybe "" (Just "Hello, World!")
"Hello, World!"

>>> fromMaybe "" Nothing
""

Read an integer from a string using readMaybe. If we fail to parse an integer, we want to return 0 by default:

>>> import Text.Read ( readMaybe )
>>> fromMaybe 0 (readMaybe "5")
5
>>> fromMaybe 0 (readMaybe "")
0

isNothing :: Maybe a -> Bool #

The isNothing function returns True iff its argument is Nothing.

Examples

Expand

Basic usage:

>>> isNothing (Just 3)
False

>>> isNothing (Just ())
False

>>> isNothing Nothing
True

Only the outer constructor is taken into consideration:

>>> isNothing (Just Nothing)
False

isJust :: Maybe a -> Bool #

The isJust function returns True iff its argument is of the form Just _.

Examples

Expand

Basic usage:

>>> isJust (Just 3)
True

>>> isJust (Just ())
True

>>> isJust Nothing
False

Only the outer constructor is taken into consideration:

>>> isJust (Just Nothing)
True

maybe :: b -> (a -> b) -> Maybe a -> b #

The maybe function takes a default value, a function, and a Maybe value. If the Maybe value is Nothing, the function returns the default value. Otherwise, it applies the function to the value inside the Just and returns the result.

Examples

Expand

Basic usage:

>>> maybe False odd (Just 3)
True

>>> maybe False odd Nothing
False

Read an integer from a string using readMaybe. If we succeed, return twice the integer; that is, apply (*2) to it. If instead we fail to parse an integer, return 0 by default:

>>> import Text.Read ( readMaybe )
>>> maybe 0 (*2) (readMaybe "5")
10
>>> maybe 0 (*2) (readMaybe "")
0

Apply show to a Maybe Int. If we have Just n, we want to show the underlying Int n. But if we have Nothing, we return the empty string instead of (for example) "Nothing":

>>> maybe "" show (Just 5)
"5"
>>> maybe "" show Nothing
""

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

Swap the components of a pair.

uncurry :: (a -> b -> c) -> (a, b) -> c #

uncurry converts a curried function to a function on pairs.

Examples

Expand

>>> uncurry (+) (1,2)
3

>>> uncurry ($) (show, 1)
"1"

>>> map (uncurry max) [(1,2), (3,4), (6,8)]
[2,4,8]

curry :: ((a, b) -> c) -> a -> b -> c #

curry converts an uncurried function to a curried function.

Examples

Expand

>>> curry fst 1 2
1

isEmptyMVar :: MVar a -> IO Bool #

Check whether a given MVar is empty.

Notice that the boolean value returned is just a snapshot of the state of the MVar. By the time you get to react on its result, the MVar may have been filled (or emptied) - so be extremely careful when using this operation. Use tryTakeMVar instead if possible.

tryReadMVar :: MVar a -> IO (Maybe a) #

A non-blocking version of readMVar. The tryReadMVar function returns immediately, with Nothing if the MVar was empty, or Just a if the MVar was full with contents a.

Since: base-4.7.0.0

tryPutMVar :: MVar a -> a -> IO Bool #

A non-blocking version of putMVar. The tryPutMVar function attempts to put the value a into the MVar, returning True if it was successful, or False otherwise.

tryTakeMVar :: MVar a -> IO (Maybe a) #

A non-blocking version of takeMVar. The tryTakeMVar function returns immediately, with Nothing if the MVar was empty, or Just a if the MVar was full with contents a. After tryTakeMVar, the MVar is left empty.

putMVar :: MVar a -> a -> IO () #

Put a value into an MVar. If the MVar is currently full, putMVar will wait until it becomes empty.

There are two further important properties of putMVar:

putMVar is single-wakeup. That is, if there are multiple threads blocked in putMVar, and the MVar becomes empty, only one thread will be woken up. The runtime guarantees that the woken thread completes its putMVar operation.
When multiple threads are blocked on an MVar, they are woken up in FIFO order. This is useful for providing fairness properties of abstractions built using MVars.

readMVar :: MVar a -> IO a #

Atomically read the contents of an MVar. If the MVar is currently empty, readMVar will wait until it is full. readMVar is guaranteed to receive the next putMVar.

readMVar is multiple-wakeup, so when multiple readers are blocked on an MVar, all of them are woken up at the same time.

Compatibility note: Prior to base 4.7, readMVar was a combination of takeMVar and putMVar. This mean that in the presence of other threads attempting to putMVar, readMVar could block. Furthermore, readMVar would not receive the next putMVar if there was already a pending thread blocked on takeMVar. The old behavior can be recovered by implementing 'readMVar as follows:

 readMVar :: MVar a -> IO a
 readMVar m =
   mask_ $ do
     a <- takeMVar m
     putMVar m a
     return a

takeMVar :: MVar a -> IO a #

Return the contents of the MVar. If the MVar is currently empty, takeMVar will wait until it is full. After a takeMVar, the MVar is left empty.

There are two further important properties of takeMVar:

takeMVar is single-wakeup. That is, if there are multiple threads blocked in takeMVar, and the MVar becomes full, only one thread will be woken up. The runtime guarantees that the woken thread completes its takeMVar operation.
When multiple threads are blocked on an MVar, they are woken up in FIFO order. This is useful for providing fairness properties of abstractions built using MVars.

newMVar :: a -> IO (MVar a) #

Create an MVar which contains the supplied value.

newEmptyMVar :: IO (MVar a) #

Create an MVar which is initially empty.

data MVar a #

An MVar (pronounced "em-var") is a synchronising variable, used for communication between concurrent threads. It can be thought of as a box, which may be empty or full.

Instances

NFData1 MVar	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf :: (a -> ()) -> MVar a -> () #
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 #
NFData (MVar a)	NOTE: Only strict in the reference and not the referenced value. Since: deepseq-1.4.2.0
Instance details Defined in Control.DeepSeq Methods rnf :: MVar a -> () #
PrimUnlifted (MVar a)	Since: primitive-0.6.4.0
Instance details Defined in Data.Primitive.UnliftedArray Methods toArrayArray# :: MVar a -> ArrayArray# # fromArrayArray# :: ArrayArray# -> MVar a #

subtract :: Num a => a -> a -> a #

the same as flip (-).

Because - is treated specially in the Haskell grammar, (- e) is not a section, but an application of prefix negation. However, (subtract exp) is equivalent to the disallowed section.

currentCallStack :: IO [String] #

Returns a [String] representing the current call stack. This can be useful for debugging.

The implementation uses the call-stack simulation maintained by the profiler, so it only works if the program was compiled with -prof and contains suitable SCC annotations (e.g. by using -fprof-auto). Otherwise, the list returned is likely to be empty or uninformative.

Since: base-4.5.0.0

asTypeOf :: a -> a -> a #

asTypeOf is a type-restricted version of const. It is usually used as an infix operator, and its typing forces its first argument (which is usually overloaded) to have the same type as the second.

until :: (a -> Bool) -> (a -> a) -> a -> a #

until p f yields the result of applying f until p holds.

flip :: (a -> b -> c) -> b -> a -> c #

flip f takes its (first) two arguments in the reverse order of f.

>>> flip (++) "hello" "world"
"worldhello"

(.) :: (b -> c) -> (a -> b) -> a -> c infixr 9 #

Function composition.

const :: a -> b -> a #

const x is a unary function which evaluates to x for all inputs.

>>> const 42 "hello"
42

>>> map (const 42) [0..3]
[42,42,42,42]

ord :: Char -> Int #

The fromEnum method restricted to the type Char.

liftA3 :: Applicative f => (a -> b -> c -> d) -> f a -> f b -> f c -> f d #

Lift a ternary function to actions.

liftA :: Applicative f => (a -> b) -> f a -> f b #

Lift a function to actions. This function may be used as a value for fmap in a Functor instance.

(<**>) :: Applicative f => f a -> f (a -> b) -> f b infixl 4 #

A variant of <*> with the arguments reversed.

data NonEmpty a #

Non-empty (and non-strict) list type.

Since: base-4.9.0.0

Constructors

a :| [a] infixr 5

Instances

Monad NonEmpty	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (>>=) :: NonEmpty a -> (a -> NonEmpty b) -> NonEmpty b # (>>) :: NonEmpty a -> NonEmpty b -> NonEmpty b # return :: a -> NonEmpty a # fail :: String -> NonEmpty a #
Functor NonEmpty	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods fmap :: (a -> b) -> NonEmpty a -> NonEmpty b # (<$) :: a -> NonEmpty b -> NonEmpty a #
MonadFix NonEmpty	Since: base-4.9.0.0
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> NonEmpty a) -> NonEmpty a #
Applicative NonEmpty	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods pure :: a -> NonEmpty a # (<>) :: NonEmpty (a -> b) -> NonEmpty a -> NonEmpty b # liftA2 :: (a -> b -> c) -> NonEmpty a -> NonEmpty b -> NonEmpty c # (>) :: NonEmpty a -> NonEmpty b -> NonEmpty b # (<*) :: NonEmpty a -> NonEmpty b -> NonEmpty a #
Foldable NonEmpty	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => NonEmpty m -> m # foldMap :: Monoid m => (a -> m) -> NonEmpty a -> m # foldr :: (a -> b -> b) -> b -> NonEmpty a -> b # foldr' :: (a -> b -> b) -> b -> NonEmpty a -> b # foldl :: (b -> a -> b) -> b -> NonEmpty a -> b # foldl' :: (b -> a -> b) -> b -> NonEmpty a -> b # foldr1 :: (a -> a -> a) -> NonEmpty a -> a # foldl1 :: (a -> a -> a) -> NonEmpty a -> a # toList :: NonEmpty a -> [a] # null :: NonEmpty a -> Bool # length :: NonEmpty a -> Int # elem :: Eq a => a -> NonEmpty a -> Bool # maximum :: Ord a => NonEmpty a -> a # minimum :: Ord a => NonEmpty a -> a # sum :: Num a => NonEmpty a -> a # product :: Num a => NonEmpty a -> a #
Traversable NonEmpty	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> NonEmpty a -> f (NonEmpty b) # sequenceA :: Applicative f => NonEmpty (f a) -> f (NonEmpty a) # mapM :: Monad m => (a -> m b) -> NonEmpty a -> m (NonEmpty b) # sequence :: Monad m => NonEmpty (m a) -> m (NonEmpty a) #
ToJSON1 NonEmpty
Instance details Defined in Data.Aeson.Types.ToJSON Methods liftToJSON :: (a -> Value) -> ([a] -> Value) -> NonEmpty a -> Value # liftToJSONList :: (a -> Value) -> ([a] -> Value) -> [NonEmpty a] -> Value # liftToEncoding :: (a -> Encoding) -> ([a] -> Encoding) -> NonEmpty a -> Encoding # liftToEncodingList :: (a -> Encoding) -> ([a] -> Encoding) -> [NonEmpty a] -> Encoding #
FromJSON1 NonEmpty
Instance details Defined in Data.Aeson.Types.FromJSON Methods liftParseJSON :: (Value -> Parser a) -> (Value -> Parser [a]) -> Value -> Parser (NonEmpty a) # liftParseJSONList :: (Value -> Parser a) -> (Value -> Parser [a]) -> Value -> Parser [NonEmpty a] #
Eq1 NonEmpty	Since: base-4.10.0.0
Instance details Defined in Data.Functor.Classes Methods liftEq :: (a -> b -> Bool) -> NonEmpty a -> NonEmpty b -> Bool #
Ord1 NonEmpty	Since: base-4.10.0.0
Instance details Defined in Data.Functor.Classes Methods liftCompare :: (a -> b -> Ordering) -> NonEmpty a -> NonEmpty b -> Ordering #
Read1 NonEmpty	Since: base-4.10.0.0
Instance details Defined in Data.Functor.Classes Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (NonEmpty a) # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [NonEmpty a] # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (NonEmpty a) # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [NonEmpty a] #
Show1 NonEmpty	Since: base-4.10.0.0
Instance details Defined in Data.Functor.Classes Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> NonEmpty a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [NonEmpty a] -> ShowS #
NFData1 NonEmpty	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf :: (a -> ()) -> NonEmpty a -> () #
FunctorWithIndex Int NonEmpty
Instance details Defined in Control.Lens.Indexed Methods imap :: (Int -> a -> b) -> NonEmpty a -> NonEmpty b # imapped :: IndexedSetter Int (NonEmpty a) (NonEmpty b) a b #
FoldableWithIndex Int NonEmpty
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Int -> a -> m) -> NonEmpty a -> m # ifolded :: IndexedFold Int (NonEmpty a) a # ifoldr :: (Int -> a -> b -> b) -> b -> NonEmpty a -> b # ifoldl :: (Int -> b -> a -> b) -> b -> NonEmpty a -> b # ifoldr' :: (Int -> a -> b -> b) -> b -> NonEmpty a -> b # ifoldl' :: (Int -> b -> a -> b) -> b -> NonEmpty a -> b #
TraversableWithIndex Int NonEmpty
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => (Int -> a -> f b) -> NonEmpty a -> f (NonEmpty b) # itraversed :: IndexedTraversal Int (NonEmpty a) (NonEmpty b) a b #
IsList (NonEmpty a)	Since: base-4.9.0.0
Instance details Defined in GHC.Exts Associated Types type Item (NonEmpty a) :: Type # Methods fromList :: [Item (NonEmpty a)] -> NonEmpty a # fromListN :: Int -> [Item (NonEmpty a)] -> NonEmpty a # toList :: NonEmpty a -> [Item (NonEmpty a)] #
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 #
Ord a => Ord (NonEmpty a)	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods compare :: NonEmpty a -> NonEmpty a -> Ordering # (<) :: NonEmpty a -> NonEmpty a -> Bool # (<=) :: NonEmpty a -> NonEmpty a -> Bool # (>) :: NonEmpty a -> NonEmpty a -> Bool # (>=) :: NonEmpty a -> NonEmpty a -> Bool # max :: NonEmpty a -> NonEmpty a -> NonEmpty a # min :: NonEmpty a -> NonEmpty a -> NonEmpty a #
Read a => Read (NonEmpty a)	Since: base-4.11.0.0
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS (NonEmpty a) # readList :: ReadS [NonEmpty a] # readPrec :: ReadPrec (NonEmpty a) # readListPrec :: ReadPrec [NonEmpty a] #
Show a => Show (NonEmpty a)	Since: base-4.11.0.0
Instance details Defined in GHC.Show Methods showsPrec :: Int -> NonEmpty a -> ShowS # show :: NonEmpty a -> String # showList :: [NonEmpty a] -> ShowS #
Generic (NonEmpty a)
Instance details Defined in GHC.Generics Associated Types type Rep (NonEmpty a) :: Type -> Type # Methods from :: NonEmpty a -> Rep (NonEmpty a) x # to :: Rep (NonEmpty a) x -> NonEmpty a #
Semigroup (NonEmpty a)	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (<>) :: NonEmpty a -> NonEmpty a -> NonEmpty a # sconcat :: NonEmpty (NonEmpty a) -> NonEmpty a # stimes :: Integral b => b -> NonEmpty a -> NonEmpty a #
Hashable a => Hashable (NonEmpty a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> NonEmpty a -> Int # hash :: NonEmpty a -> Int #
ToJSON a => ToJSON (NonEmpty a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: NonEmpty a -> Value # toEncoding :: NonEmpty a -> Encoding # toJSONList :: [NonEmpty a] -> Value # toEncodingList :: [NonEmpty a] -> Encoding #
FromJSON a => FromJSON (NonEmpty a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (NonEmpty a) # parseJSONList :: Value -> Parser [NonEmpty a] #
NFData a => NFData (NonEmpty a)	Since: deepseq-1.4.2.0
Instance details Defined in Control.DeepSeq Methods rnf :: NonEmpty a -> () #
Ixed (NonEmpty a)
Instance details Defined in Control.Lens.At Methods ix :: Index (NonEmpty a) -> Traversal' (NonEmpty a) (IxValue (NonEmpty a)) #
Wrapped (NonEmpty a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (NonEmpty a) :: Type # Methods _Wrapped' :: Iso' (NonEmpty a) (Unwrapped (NonEmpty a)) #
Generic1 NonEmpty
Instance details Defined in GHC.Generics Associated Types type Rep1 NonEmpty :: k -> Type # Methods from1 :: NonEmpty a -> Rep1 NonEmpty a # to1 :: Rep1 NonEmpty a -> NonEmpty a #
t ~ NonEmpty b => Rewrapped (NonEmpty a) t
Instance details Defined in Control.Lens.Wrapped
type Rep (NonEmpty a)	Since: base-4.6.0.0
Instance details Defined in GHC.Generics type Rep (NonEmpty a) = D1 (MetaData "NonEmpty" "GHC.Base" "base" False) (C1 (MetaCons ":\|" (InfixI LeftAssociative 9) False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 a) :*: S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 [a])))
type Item (NonEmpty a)
Instance details Defined in GHC.Exts type Item (NonEmpty a) = a
type Index (NonEmpty a)
Instance details Defined in Control.Lens.At type Index (NonEmpty a) = Int
type IxValue (NonEmpty a)
Instance details Defined in Control.Lens.At type IxValue (NonEmpty a) = a
type Unwrapped (NonEmpty a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (NonEmpty a) = (a, [a])
type Rep1 NonEmpty	Since: base-4.6.0.0
Instance details Defined in GHC.Generics type Rep1 NonEmpty = D1 (MetaData "NonEmpty" "GHC.Base" "base" False) (C1 (MetaCons ":\|" (InfixI LeftAssociative 9) False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) Par1 :*: S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 [])))

error :: HasCallStack => [Char] -> a #

error stops execution and displays an error message.

getCallStack :: CallStack -> [([Char], SrcLoc)] #

Extract a list of call-sites from the CallStack.

The list is ordered by most recent call.

Since: base-4.8.1.0

type HasCallStack = ?callStack :: CallStack #

Request a CallStack.

NOTE: The implicit parameter ?callStack :: CallStack is an implementation detail and should not be considered part of the CallStack API, we may decide to change the implementation in the future.

Since: base-4.9.0.0

stimesIdempotentMonoid :: (Integral b, Monoid a) => b -> a -> a #

This is a valid definition of stimes for an idempotent Monoid.

When mappend x x = x, this definition should be preferred, because it works in O(1) rather than O(log n)

data SomeException where #

The SomeException type is the root of the exception type hierarchy. When an exception of type e is thrown, behind the scenes it is encapsulated in a SomeException.

Constructors

SomeException :: forall e. Exception e => e -> SomeException

Instances

Show SomeException	Since: base-3.0
Instance details Defined in GHC.Exception.Type Methods showsPrec :: Int -> SomeException -> ShowS # show :: SomeException -> String # showList :: [SomeException] -> ShowS #
Exception SomeException	Since: base-3.0
Instance details Defined in GHC.Exception.Type Methods toException :: SomeException -> SomeException # fromException :: SomeException -> Maybe SomeException # displayException :: SomeException -> String #

(&&) :: Bool -> Bool -> Bool infixr 3 #

Boolean "and"

(||) :: Bool -> Bool -> Bool infixr 2 #

Boolean "or"

not :: Bool -> Bool #

Boolean "not"

data IntMap a #

A map of integers to values a.

Instances

Functor IntMap
Instance details Defined in Data.IntMap.Internal Methods fmap :: (a -> b) -> IntMap a -> IntMap b # (<$) :: a -> IntMap b -> IntMap a #
Foldable IntMap
Instance details Defined in Data.IntMap.Internal Methods fold :: Monoid m => IntMap m -> m # foldMap :: Monoid m => (a -> m) -> IntMap a -> m # foldr :: (a -> b -> b) -> b -> IntMap a -> b # foldr' :: (a -> b -> b) -> b -> IntMap a -> b # foldl :: (b -> a -> b) -> b -> IntMap a -> b # foldl' :: (b -> a -> b) -> b -> IntMap a -> b # foldr1 :: (a -> a -> a) -> IntMap a -> a # foldl1 :: (a -> a -> a) -> IntMap a -> a # toList :: IntMap a -> [a] # null :: IntMap a -> Bool # length :: IntMap a -> Int # elem :: Eq a => a -> IntMap a -> Bool # maximum :: Ord a => IntMap a -> a # minimum :: Ord a => IntMap a -> a # sum :: Num a => IntMap a -> a # product :: Num a => IntMap a -> a #
Traversable IntMap
Instance details Defined in Data.IntMap.Internal Methods traverse :: Applicative f => (a -> f b) -> IntMap a -> f (IntMap b) # sequenceA :: Applicative f => IntMap (f a) -> f (IntMap a) # mapM :: Monad m => (a -> m b) -> IntMap a -> m (IntMap b) # sequence :: Monad m => IntMap (m a) -> m (IntMap a) #
ToJSON1 IntMap
Instance details Defined in Data.Aeson.Types.ToJSON Methods liftToJSON :: (a -> Value) -> ([a] -> Value) -> IntMap a -> Value # liftToJSONList :: (a -> Value) -> ([a] -> Value) -> [IntMap a] -> Value # liftToEncoding :: (a -> Encoding) -> ([a] -> Encoding) -> IntMap a -> Encoding # liftToEncodingList :: (a -> Encoding) -> ([a] -> Encoding) -> [IntMap a] -> Encoding #
FromJSON1 IntMap
Instance details Defined in Data.Aeson.Types.FromJSON Methods liftParseJSON :: (Value -> Parser a) -> (Value -> Parser [a]) -> Value -> Parser (IntMap a) # liftParseJSONList :: (Value -> Parser a) -> (Value -> Parser [a]) -> Value -> Parser [IntMap a] #
Eq1 IntMap	Since: containers-0.5.9
Instance details Defined in Data.IntMap.Internal Methods liftEq :: (a -> b -> Bool) -> IntMap a -> IntMap b -> Bool #
Ord1 IntMap	Since: containers-0.5.9
Instance details Defined in Data.IntMap.Internal Methods liftCompare :: (a -> b -> Ordering) -> IntMap a -> IntMap b -> Ordering #
Read1 IntMap	Since: containers-0.5.9
Instance details Defined in Data.IntMap.Internal Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (IntMap a) # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [IntMap a] # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (IntMap a) # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [IntMap a] #
Show1 IntMap	Since: containers-0.5.9
Instance details Defined in Data.IntMap.Internal Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> IntMap a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [IntMap a] -> ShowS #
Filterable IntMap
Instance details Defined in Data.Witherable Methods mapMaybe :: (a -> Maybe b) -> IntMap a -> IntMap b # catMaybes :: IntMap (Maybe a) -> IntMap a # filter :: (a -> Bool) -> IntMap a -> IntMap a #
Witherable IntMap
Instance details Defined in Data.Witherable Methods wither :: Applicative f => (a -> f (Maybe b)) -> IntMap a -> f (IntMap b) # witherM :: Monad m => (a -> m (Maybe b)) -> IntMap a -> m (IntMap b) # filterA :: Applicative f => (a -> f Bool) -> IntMap a -> f (IntMap a) #
FunctorWithIndex Int IntMap
Instance details Defined in Control.Lens.Indexed Methods imap :: (Int -> a -> b) -> IntMap a -> IntMap b # imapped :: IndexedSetter Int (IntMap a) (IntMap b) a b #
FoldableWithIndex Int IntMap
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Int -> a -> m) -> IntMap a -> m # ifolded :: IndexedFold Int (IntMap a) a # ifoldr :: (Int -> a -> b -> b) -> b -> IntMap a -> b # ifoldl :: (Int -> b -> a -> b) -> b -> IntMap a -> b # ifoldr' :: (Int -> a -> b -> b) -> b -> IntMap a -> b # ifoldl' :: (Int -> b -> a -> b) -> b -> IntMap a -> b #
TraversableWithIndex Int IntMap
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => (Int -> a -> f b) -> IntMap a -> f (IntMap b) # itraversed :: IndexedTraversal Int (IntMap a) (IntMap b) a b #
IsList (IntMap a)	Since: containers-0.5.6.2
Instance details Defined in Data.IntMap.Internal Associated Types type Item (IntMap a) :: Type # Methods fromList :: [Item (IntMap a)] -> IntMap a # fromListN :: Int -> [Item (IntMap a)] -> IntMap a # toList :: IntMap a -> [Item (IntMap a)] #
Eq a => Eq (IntMap a)
Instance details Defined in Data.IntMap.Internal Methods (==) :: IntMap a -> IntMap a -> Bool # (/=) :: IntMap a -> IntMap a -> Bool #
Data a => Data (IntMap a)
Instance details Defined in Data.IntMap.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> IntMap a -> c (IntMap a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (IntMap a) # toConstr :: IntMap a -> Constr # dataTypeOf :: IntMap a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (IntMap a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (IntMap a)) # gmapT :: (forall b. Data b => b -> b) -> IntMap a -> IntMap a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> IntMap a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> IntMap a -> r # gmapQ :: (forall d. Data d => d -> u) -> IntMap a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> IntMap a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> IntMap a -> m (IntMap a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> IntMap a -> m (IntMap a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> IntMap a -> m (IntMap a) #
Ord a => Ord (IntMap a)
Instance details Defined in Data.IntMap.Internal Methods compare :: IntMap a -> IntMap a -> Ordering # (<) :: IntMap a -> IntMap a -> Bool # (<=) :: IntMap a -> IntMap a -> Bool # (>) :: IntMap a -> IntMap a -> Bool # (>=) :: IntMap a -> IntMap a -> Bool # max :: IntMap a -> IntMap a -> IntMap a # min :: IntMap a -> IntMap a -> IntMap a #
Read e => Read (IntMap e)
Instance details Defined in Data.IntMap.Internal Methods readsPrec :: Int -> ReadS (IntMap e) # readList :: ReadS [IntMap e] # readPrec :: ReadPrec (IntMap e) # readListPrec :: ReadPrec [IntMap e] #
Show a => Show (IntMap a)
Instance details Defined in Data.IntMap.Internal Methods showsPrec :: Int -> IntMap a -> ShowS # show :: IntMap a -> String # showList :: [IntMap a] -> ShowS #
Semigroup (IntMap a)	Since: containers-0.5.7
Instance details Defined in Data.IntMap.Internal Methods (<>) :: IntMap a -> IntMap a -> IntMap a # sconcat :: NonEmpty (IntMap a) -> IntMap a # stimes :: Integral b => b -> IntMap a -> IntMap a #
Monoid (IntMap a)
Instance details Defined in Data.IntMap.Internal Methods mempty :: IntMap a # mappend :: IntMap a -> IntMap a -> IntMap a # mconcat :: [IntMap a] -> IntMap a #
ToJSON a => ToJSON (IntMap a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: IntMap a -> Value # toEncoding :: IntMap a -> Encoding # toJSONList :: [IntMap a] -> Value # toEncodingList :: [IntMap a] -> Encoding #
FromJSON a => FromJSON (IntMap a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (IntMap a) # parseJSONList :: Value -> Parser [IntMap a] #
NFData a => NFData (IntMap a)
Instance details Defined in Data.IntMap.Internal Methods rnf :: IntMap a -> () #
Ixed (IntMap a)
Instance details Defined in Control.Lens.At Methods ix :: Index (IntMap a) -> Traversal' (IntMap a) (IxValue (IntMap a)) #
At (IntMap a)
Instance details Defined in Control.Lens.At Methods at :: Index (IntMap a) -> Lens' (IntMap a) (Maybe (IxValue (IntMap a))) #
Wrapped (IntMap a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (IntMap a) :: Type # Methods _Wrapped' :: Iso' (IntMap a) (Unwrapped (IntMap a)) #
t ~ IntMap a' => Rewrapped (IntMap a) t	Use `wrapping fromList`. unwrapping returns a sorted list.
Instance details Defined in Control.Lens.Wrapped
type Item (IntMap a)
Instance details Defined in Data.IntMap.Internal type Item (IntMap a) = (Key, a)
type Index (IntMap a)
Instance details Defined in Control.Lens.At type Index (IntMap a) = Int
type IxValue (IntMap a)
Instance details Defined in Control.Lens.At type IxValue (IntMap a) = a
type Unwrapped (IntMap a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (IntMap a) = [(Int, a)]

data IntSet #

A set of integers.

Instances

IsList IntSet	Since: containers-0.5.6.2
Instance details Defined in Data.IntSet.Internal Associated Types type Item IntSet :: Type # Methods fromList :: [Item IntSet] -> IntSet # fromListN :: Int -> [Item IntSet] -> IntSet # toList :: IntSet -> [Item IntSet] #
Eq IntSet
Instance details Defined in Data.IntSet.Internal Methods (==) :: IntSet -> IntSet -> Bool # (/=) :: IntSet -> IntSet -> Bool #
Data IntSet
Instance details Defined in Data.IntSet.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> IntSet -> c IntSet # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c IntSet # toConstr :: IntSet -> Constr # dataTypeOf :: IntSet -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c IntSet) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c IntSet) # gmapT :: (forall b. Data b => b -> b) -> IntSet -> IntSet # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> IntSet -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> IntSet -> r # gmapQ :: (forall d. Data d => d -> u) -> IntSet -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> IntSet -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> IntSet -> m IntSet # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> IntSet -> m IntSet # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> IntSet -> m IntSet #
Ord IntSet
Instance details Defined in Data.IntSet.Internal Methods compare :: IntSet -> IntSet -> Ordering # (<) :: IntSet -> IntSet -> Bool # (<=) :: IntSet -> IntSet -> Bool # (>) :: IntSet -> IntSet -> Bool # (>=) :: IntSet -> IntSet -> Bool # max :: IntSet -> IntSet -> IntSet # min :: IntSet -> IntSet -> IntSet #
Read IntSet
Instance details Defined in Data.IntSet.Internal Methods readsPrec :: Int -> ReadS IntSet # readList :: ReadS [IntSet] # readPrec :: ReadPrec IntSet # readListPrec :: ReadPrec [IntSet] #
Show IntSet
Instance details Defined in Data.IntSet.Internal Methods showsPrec :: Int -> IntSet -> ShowS # show :: IntSet -> String # showList :: [IntSet] -> ShowS #
Semigroup IntSet	Since: containers-0.5.7
Instance details Defined in Data.IntSet.Internal Methods (<>) :: IntSet -> IntSet -> IntSet # sconcat :: NonEmpty IntSet -> IntSet # stimes :: Integral b => b -> IntSet -> IntSet #
Monoid IntSet
Instance details Defined in Data.IntSet.Internal Methods mempty :: IntSet # mappend :: IntSet -> IntSet -> IntSet # mconcat :: [IntSet] -> IntSet #
ToJSON IntSet
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: IntSet -> Value # toEncoding :: IntSet -> Encoding # toJSONList :: [IntSet] -> Value # toEncodingList :: [IntSet] -> Encoding #
FromJSON IntSet
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser IntSet # parseJSONList :: Value -> Parser [IntSet] #
NFData IntSet
Instance details Defined in Data.IntSet.Internal Methods rnf :: IntSet -> () #
Contains IntSet
Instance details Defined in Control.Lens.At Methods contains :: Index IntSet -> Lens' IntSet Bool #
Ixed IntSet
Instance details Defined in Control.Lens.At Methods ix :: Index IntSet -> Traversal' IntSet (IxValue IntSet) #
At IntSet
Instance details Defined in Control.Lens.At Methods at :: Index IntSet -> Lens' IntSet (Maybe (IxValue IntSet)) #
Wrapped IntSet
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped IntSet :: Type # Methods _Wrapped' :: Iso' IntSet (Unwrapped IntSet) #
t ~ IntSet => Rewrapped IntSet t	Use `wrapping fromList`. unwrapping returns a sorted list.
Instance details Defined in Control.Lens.Wrapped
type Item IntSet
Instance details Defined in Data.IntSet.Internal type Item IntSet = Key
type Index IntSet
Instance details Defined in Control.Lens.At type Index IntSet = Int
type IxValue IntSet
Instance details Defined in Control.Lens.At type IxValue IntSet = ()
type Unwrapped IntSet
Instance details Defined in Control.Lens.Wrapped type Unwrapped IntSet = [Int]

data Seq a #

General-purpose finite sequences.

Instances

Monad Seq
Instance details Defined in Data.Sequence.Internal Methods (>>=) :: Seq a -> (a -> Seq b) -> Seq b # (>>) :: Seq a -> Seq b -> Seq b # return :: a -> Seq a # fail :: String -> Seq a #
Functor Seq
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> Seq a -> Seq b # (<$) :: a -> Seq b -> Seq a #
MonadFix Seq	Since: containers-0.5.11
Instance details Defined in Data.Sequence.Internal Methods mfix :: (a -> Seq a) -> Seq a #
Applicative Seq	Since: containers-0.5.4
Instance details Defined in Data.Sequence.Internal Methods pure :: a -> Seq a # (<>) :: Seq (a -> b) -> Seq a -> Seq b # liftA2 :: (a -> b -> c) -> Seq a -> Seq b -> Seq c # (>) :: Seq a -> Seq b -> Seq b # (<*) :: Seq a -> Seq b -> Seq a #
Foldable Seq
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => Seq m -> m # foldMap :: Monoid m => (a -> m) -> Seq a -> m # foldr :: (a -> b -> b) -> b -> Seq a -> b # foldr' :: (a -> b -> b) -> b -> Seq a -> b # foldl :: (b -> a -> b) -> b -> Seq a -> b # foldl' :: (b -> a -> b) -> b -> Seq a -> b # foldr1 :: (a -> a -> a) -> Seq a -> a # foldl1 :: (a -> a -> a) -> Seq a -> a # toList :: Seq a -> [a] # null :: Seq a -> Bool # length :: Seq a -> Int # elem :: Eq a => a -> Seq a -> Bool # maximum :: Ord a => Seq a -> a # minimum :: Ord a => Seq a -> a # sum :: Num a => Seq a -> a # product :: Num a => Seq a -> a #
Traversable Seq
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> Seq a -> f (Seq b) # sequenceA :: Applicative f => Seq (f a) -> f (Seq a) # mapM :: Monad m => (a -> m b) -> Seq a -> m (Seq b) # sequence :: Monad m => Seq (m a) -> m (Seq a) #
MonadPlus Seq
Instance details Defined in Data.Sequence.Internal Methods mzero :: Seq a # mplus :: Seq a -> Seq a -> Seq a #
ToJSON1 Seq
Instance details Defined in Data.Aeson.Types.ToJSON Methods liftToJSON :: (a -> Value) -> ([a] -> Value) -> Seq a -> Value # liftToJSONList :: (a -> Value) -> ([a] -> Value) -> [Seq a] -> Value # liftToEncoding :: (a -> Encoding) -> ([a] -> Encoding) -> Seq a -> Encoding # liftToEncodingList :: (a -> Encoding) -> ([a] -> Encoding) -> [Seq a] -> Encoding #
FromJSON1 Seq
Instance details Defined in Data.Aeson.Types.FromJSON Methods liftParseJSON :: (Value -> Parser a) -> (Value -> Parser [a]) -> Value -> Parser (Seq a) # liftParseJSONList :: (Value -> Parser a) -> (Value -> Parser [a]) -> Value -> Parser [Seq a] #
Alternative Seq	Since: containers-0.5.4
Instance details Defined in Data.Sequence.Internal Methods empty :: Seq a # (<\|>) :: Seq a -> Seq a -> Seq a # some :: Seq a -> Seq [a] # many :: Seq a -> Seq [a] #
Eq1 Seq	Since: containers-0.5.9
Instance details Defined in Data.Sequence.Internal Methods liftEq :: (a -> b -> Bool) -> Seq a -> Seq b -> Bool #
Ord1 Seq	Since: containers-0.5.9
Instance details Defined in Data.Sequence.Internal Methods liftCompare :: (a -> b -> Ordering) -> Seq a -> Seq b -> Ordering #
Read1 Seq	Since: containers-0.5.9
Instance details Defined in Data.Sequence.Internal Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Seq a) # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Seq a] # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Seq a) # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Seq a] #
Show1 Seq	Since: containers-0.5.9
Instance details Defined in Data.Sequence.Internal Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Seq a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Seq a] -> ShowS #
MonadZip Seq	`mzipWith` = `zipWith` `munzip` = `unzip`
Instance details Defined in Data.Sequence.Internal Methods mzip :: Seq a -> Seq b -> Seq (a, b) # mzipWith :: (a -> b -> c) -> Seq a -> Seq b -> Seq c # munzip :: Seq (a, b) -> (Seq a, Seq b) #
Filterable Seq
Instance details Defined in Data.Witherable Methods mapMaybe :: (a -> Maybe b) -> Seq a -> Seq b # catMaybes :: Seq (Maybe a) -> Seq a # filter :: (a -> Bool) -> Seq a -> Seq a #
Witherable Seq
Instance details Defined in Data.Witherable Methods wither :: Applicative f => (a -> f (Maybe b)) -> Seq a -> f (Seq b) # witherM :: Monad m => (a -> m (Maybe b)) -> Seq a -> m (Seq b) # filterA :: Applicative f => (a -> f Bool) -> Seq a -> f (Seq a) #
UnzipWith Seq
Instance details Defined in Data.Sequence.Internal Methods unzipWith' :: (x -> (a, b)) -> Seq x -> (Seq a, Seq b)
FunctorWithIndex Int Seq	The position in the `Seq` is available as the index.
Instance details Defined in Control.Lens.Indexed Methods imap :: (Int -> a -> b) -> Seq a -> Seq b # imapped :: IndexedSetter Int (Seq a) (Seq b) a b #
FoldableWithIndex Int Seq
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Int -> a -> m) -> Seq a -> m # ifolded :: IndexedFold Int (Seq a) a # ifoldr :: (Int -> a -> b -> b) -> b -> Seq a -> b # ifoldl :: (Int -> b -> a -> b) -> b -> Seq a -> b # ifoldr' :: (Int -> a -> b -> b) -> b -> Seq a -> b # ifoldl' :: (Int -> b -> a -> b) -> b -> Seq a -> b #
TraversableWithIndex Int Seq
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => (Int -> a -> f b) -> Seq a -> f (Seq b) # itraversed :: IndexedTraversal Int (Seq a) (Seq b) a b #
IsList (Seq a)
Instance details Defined in Data.Sequence.Internal Associated Types type Item (Seq a) :: Type # Methods fromList :: [Item (Seq a)] -> Seq a # fromListN :: Int -> [Item (Seq a)] -> Seq a # toList :: Seq a -> [Item (Seq a)] #
Eq a => Eq (Seq a)
Instance details Defined in Data.Sequence.Internal Methods (==) :: Seq a -> Seq a -> Bool # (/=) :: Seq a -> Seq a -> Bool #
Data a => Data (Seq a)
Instance details Defined in Data.Sequence.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Seq a -> c (Seq a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Seq a) # toConstr :: Seq a -> Constr # dataTypeOf :: Seq a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Seq a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Seq a)) # gmapT :: (forall b. Data b => b -> b) -> Seq a -> Seq a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Seq a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Seq a -> r # gmapQ :: (forall d. Data d => d -> u) -> Seq a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Seq a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a) #
Ord a => Ord (Seq a)
Instance details Defined in Data.Sequence.Internal Methods compare :: Seq a -> Seq a -> Ordering # (<) :: Seq a -> Seq a -> Bool # (<=) :: Seq a -> Seq a -> Bool # (>) :: Seq a -> Seq a -> Bool # (>=) :: Seq a -> Seq a -> Bool # max :: Seq a -> Seq a -> Seq a # min :: Seq a -> Seq a -> Seq a #
Read a => Read (Seq a)
Instance details Defined in Data.Sequence.Internal Methods readsPrec :: Int -> ReadS (Seq a) # readList :: ReadS [Seq a] # readPrec :: ReadPrec (Seq a) # readListPrec :: ReadPrec [Seq a] #
Show a => Show (Seq a)
Instance details Defined in Data.Sequence.Internal Methods showsPrec :: Int -> Seq a -> ShowS # show :: Seq a -> String # showList :: [Seq a] -> ShowS #
a ~ Char => IsString (Seq a)	Since: containers-0.5.7
Instance details Defined in Data.Sequence.Internal Methods fromString :: String -> Seq a #
Semigroup (Seq a)	Since: containers-0.5.7
Instance details Defined in Data.Sequence.Internal Methods (<>) :: Seq a -> Seq a -> Seq a # sconcat :: NonEmpty (Seq a) -> Seq a # stimes :: Integral b => b -> Seq a -> Seq a #
Monoid (Seq a)
Instance details Defined in Data.Sequence.Internal Methods mempty :: Seq a # mappend :: Seq a -> Seq a -> Seq a # mconcat :: [Seq a] -> Seq a #
ToJSON a => ToJSON (Seq a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Seq a -> Value # toEncoding :: Seq a -> Encoding # toJSONList :: [Seq a] -> Value # toEncodingList :: [Seq a] -> Encoding #
FromJSON a => FromJSON (Seq a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Seq a) # parseJSONList :: Value -> Parser [Seq a] #
NFData a => NFData (Seq a)
Instance details Defined in Data.Sequence.Internal Methods rnf :: Seq a -> () #
Ixed (Seq a)
Instance details Defined in Control.Lens.At Methods ix :: Index (Seq a) -> Traversal' (Seq a) (IxValue (Seq a)) #
Wrapped (Seq a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Seq a) :: Type # Methods _Wrapped' :: Iso' (Seq a) (Unwrapped (Seq a)) #
t ~ Seq a' => Rewrapped (Seq a) t
Instance details Defined in Control.Lens.Wrapped
Cons (Seq a) (Seq b) a b
Instance details Defined in Control.Lens.Cons Methods _Cons :: Prism (Seq a) (Seq b) (a, Seq a) (b, Seq b) #
Snoc (Seq a) (Seq b) a b
Instance details Defined in Control.Lens.Cons Methods _Snoc :: Prism (Seq a) (Seq b) (Seq a, a) (Seq b, b) #
type Item (Seq a)
Instance details Defined in Data.Sequence.Internal type Item (Seq a) = a
type Index (Seq a)
Instance details Defined in Control.Lens.At type Index (Seq a) = Int
type IxValue (Seq a)
Instance details Defined in Control.Lens.At type IxValue (Seq a) = a
type Unwrapped (Seq a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Seq a) = [a]

data Set a #

A set of values a.

Instances

Foldable Set
Instance details Defined in Data.Set.Internal Methods fold :: Monoid m => Set m -> m # foldMap :: Monoid m => (a -> m) -> Set a -> m # foldr :: (a -> b -> b) -> b -> Set a -> b # foldr' :: (a -> b -> b) -> b -> Set a -> b # foldl :: (b -> a -> b) -> b -> Set a -> b # foldl' :: (b -> a -> b) -> b -> Set a -> b # foldr1 :: (a -> a -> a) -> Set a -> a # foldl1 :: (a -> a -> a) -> Set a -> a # toList :: Set a -> [a] # null :: Set a -> Bool # length :: Set a -> Int # elem :: Eq a => a -> Set a -> Bool # maximum :: Ord a => Set a -> a # minimum :: Ord a => Set a -> a # sum :: Num a => Set a -> a # product :: Num a => Set a -> a #
ToJSON1 Set
Instance details Defined in Data.Aeson.Types.ToJSON Methods liftToJSON :: (a -> Value) -> ([a] -> Value) -> Set a -> Value # liftToJSONList :: (a -> Value) -> ([a] -> Value) -> [Set a] -> Value # liftToEncoding :: (a -> Encoding) -> ([a] -> Encoding) -> Set a -> Encoding # liftToEncodingList :: (a -> Encoding) -> ([a] -> Encoding) -> [Set a] -> Encoding #
Eq1 Set	Since: containers-0.5.9
Instance details Defined in Data.Set.Internal Methods liftEq :: (a -> b -> Bool) -> Set a -> Set b -> Bool #
Ord1 Set	Since: containers-0.5.9
Instance details Defined in Data.Set.Internal Methods liftCompare :: (a -> b -> Ordering) -> Set a -> Set b -> Ordering #
Show1 Set	Since: containers-0.5.9
Instance details Defined in Data.Set.Internal Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Set a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Set a] -> ShowS #
Ord a => IsList (Set a)	Since: containers-0.5.6.2
Instance details Defined in Data.Set.Internal Associated Types type Item (Set a) :: Type # Methods fromList :: [Item (Set a)] -> Set a # fromListN :: Int -> [Item (Set a)] -> Set a # toList :: Set a -> [Item (Set a)] #
Eq a => Eq (Set a)
Instance details Defined in Data.Set.Internal Methods (==) :: Set a -> Set a -> Bool # (/=) :: Set a -> Set a -> Bool #
(Data a, Ord a) => Data (Set a)
Instance details Defined in Data.Set.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Set a -> c (Set a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Set a) # toConstr :: Set a -> Constr # dataTypeOf :: Set a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Set a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Set a)) # gmapT :: (forall b. Data b => b -> b) -> Set a -> Set a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Set a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Set a -> r # gmapQ :: (forall d. Data d => d -> u) -> Set a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Set a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Set a -> m (Set a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Set a -> m (Set a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Set a -> m (Set a) #
Ord a => Ord (Set a)
Instance details Defined in Data.Set.Internal Methods compare :: Set a -> Set a -> Ordering # (<) :: Set a -> Set a -> Bool # (<=) :: Set a -> Set a -> Bool # (>) :: Set a -> Set a -> Bool # (>=) :: Set a -> Set a -> Bool # max :: Set a -> Set a -> Set a # min :: Set a -> Set a -> Set a #
(Read a, Ord a) => Read (Set a)
Instance details Defined in Data.Set.Internal Methods readsPrec :: Int -> ReadS (Set a) # readList :: ReadS [Set a] # readPrec :: ReadPrec (Set a) # readListPrec :: ReadPrec [Set a] #
Show a => Show (Set a)
Instance details Defined in Data.Set.Internal Methods showsPrec :: Int -> Set a -> ShowS # show :: Set a -> String # showList :: [Set a] -> ShowS #
Ord a => Semigroup (Set a)	Since: containers-0.5.7
Instance details Defined in Data.Set.Internal Methods (<>) :: Set a -> Set a -> Set a # sconcat :: NonEmpty (Set a) -> Set a # stimes :: Integral b => b -> Set a -> Set a #
Ord a => Monoid (Set a)
Instance details Defined in Data.Set.Internal Methods mempty :: Set a # mappend :: Set a -> Set a -> Set a # mconcat :: [Set a] -> Set a #
ToJSON a => ToJSON (Set a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Set a -> Value # toEncoding :: Set a -> Encoding # toJSONList :: [Set a] -> Value # toEncodingList :: [Set a] -> Encoding #
(Ord a, FromJSON a) => FromJSON (Set a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Set a) # parseJSONList :: Value -> Parser [Set a] #
NFData a => NFData (Set a)
Instance details Defined in Data.Set.Internal Methods rnf :: Set a -> () #
Ord a => Contains (Set a)
Instance details Defined in Control.Lens.At Methods contains :: Index (Set a) -> Lens' (Set a) Bool #
Ord k => Ixed (Set k)
Instance details Defined in Control.Lens.At Methods ix :: Index (Set k) -> Traversal' (Set k) (IxValue (Set k)) #
Ord k => At (Set k)
Instance details Defined in Control.Lens.At Methods at :: Index (Set k) -> Lens' (Set k) (Maybe (IxValue (Set k))) #
Ord a => Wrapped (Set a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (Set a) :: Type # Methods _Wrapped' :: Iso' (Set a) (Unwrapped (Set a)) #
(t ~ Set a', Ord a) => Rewrapped (Set a) t	Use `wrapping fromList`. unwrapping returns a sorted list.
Instance details Defined in Control.Lens.Wrapped
type Item (Set a)
Instance details Defined in Data.Set.Internal type Item (Set a) = a
type Index (Set a)
Instance details Defined in Control.Lens.At type Index (Set a) = a
type IxValue (Set k)
Instance details Defined in Control.Lens.At type IxValue (Set k) = ()
type Unwrapped (Set a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (Set a) = [a]

force :: NFData a => a -> a #

a variant of deepseq that is useful in some circumstances:

force x = x `deepseq` x

force x fully evaluates x, and then returns it. Note that force x only performs evaluation when the value of force x itself is demanded, so essentially it turns shallow evaluation into deep evaluation.

force can be conveniently used in combination with ViewPatterns:

{-# LANGUAGE BangPatterns, ViewPatterns #-}
import Control.DeepSeq

someFun :: ComplexData -> SomeResult
someFun (force -> !arg) = {- 'arg' will be fully evaluated -}

Another useful application is to combine force with evaluate in order to force deep evaluation relative to other IO operations:

import Control.Exception (evaluate)
import Control.DeepSeq

main = do
  result <- evaluate $ force $ pureComputation
  {- 'result' will be fully evaluated at this point -}
  return ()

Finally, here's an exception safe variant of the readFile' example:

readFile' :: FilePath -> IO String
readFile' fn = bracket (openFile fn ReadMode) hClose $ \h ->
                       evaluate . force =<< hGetContents h

Since: deepseq-1.2.0.0

($!!) :: NFData a => (a -> b) -> a -> b infixr 0 #

the deep analogue of $!. In the expression f $!! x, x is fully evaluated before the function f is applied to it.

Since: deepseq-1.2.0.0

deepseq :: NFData a => a -> b -> b #

deepseq: fully evaluates the first argument, before returning the second.

The name deepseq is used to illustrate the relationship to seq: where seq is shallow in the sense that it only evaluates the top level of its argument, deepseq traverses the entire data structure evaluating it completely.

deepseq can be useful for forcing pending exceptions, eradicating space leaks, or forcing lazy I/O to happen. It is also useful in conjunction with parallel Strategies (see the parallel package).

There is no guarantee about the ordering of evaluation. The implementation may evaluate the components of the structure in any order or in parallel. To impose an actual order on evaluation, use pseq from Control.Parallel in the parallel package.

Since: deepseq-1.1.0.0

class NFData a where #

A class of types that can be fully evaluated.

Since: deepseq-1.1.0.0

Minimal complete definition

Nothing

Methods

rnf :: a -> () #

rnf should reduce its argument to normal form (that is, fully evaluate all sub-components), and then return '()'.

`Generic` `NFData` deriving

Starting with GHC 7.2, you can automatically derive instances for types possessing a Generic instance.

Note: Generic1 can be auto-derived starting with GHC 7.4

{-# LANGUAGE DeriveGeneric #-}

import GHC.Generics (Generic, Generic1)
import Control.DeepSeq

data Foo a = Foo a String
             deriving (Eq, Generic, Generic1)

instance NFData a => NFData (Foo a)
instance NFData1 Foo

data Colour = Red | Green | Blue
              deriving Generic

instance NFData Colour

Starting with GHC 7.10, the example above can be written more concisely by enabling the new DeriveAnyClass extension:

{-# LANGUAGE DeriveGeneric, DeriveAnyClass #-}

import GHC.Generics (Generic)
import Control.DeepSeq

data Foo a = Foo a String
             deriving (Eq, Generic, Generic1, NFData, NFData1)

data Colour = Red | Green | Blue
              deriving (Generic, NFData)

Compatibility with previous `deepseq` versions

Prior to version 1.4.0.0, the default implementation of the rnf method was defined as

rnf a = seq a ()

However, starting with deepseq-1.4.0.0, the default implementation is based on DefaultSignatures allowing for more accurate auto-derived NFData instances. If you need the previously used exact default rnf method implementation semantics, use

instance NFData Colour where rnf x = seq x ()

or alternatively

instance NFData Colour where rnf = rwhnf

or

{-# LANGUAGE BangPatterns #-}
instance NFData Colour where rnf !_ = ()

Instances

NFData Bool
Instance details Defined in Control.DeepSeq Methods rnf :: Bool -> () #
NFData Char
Instance details Defined in Control.DeepSeq Methods rnf :: Char -> () #
NFData Double
Instance details Defined in Control.DeepSeq Methods rnf :: Double -> () #
NFData Float
Instance details Defined in Control.DeepSeq Methods rnf :: Float -> () #
NFData Int
Instance details Defined in Control.DeepSeq Methods rnf :: Int -> () #
NFData Int8
Instance details Defined in Control.DeepSeq Methods rnf :: Int8 -> () #
NFData Int16
Instance details Defined in Control.DeepSeq Methods rnf :: Int16 -> () #
NFData Int32
Instance details Defined in Control.DeepSeq Methods rnf :: Int32 -> () #
NFData Int64
Instance details Defined in Control.DeepSeq Methods rnf :: Int64 -> () #
NFData Integer
Instance details Defined in Control.DeepSeq Methods rnf :: Integer -> () #
NFData Natural	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Natural -> () #
NFData Ordering
Instance details Defined in Control.DeepSeq Methods rnf :: Ordering -> () #
NFData Word
Instance details Defined in Control.DeepSeq Methods rnf :: Word -> () #
NFData Word8
Instance details Defined in Control.DeepSeq Methods rnf :: Word8 -> () #
NFData Word16
Instance details Defined in Control.DeepSeq Methods rnf :: Word16 -> () #
NFData Word32
Instance details Defined in Control.DeepSeq Methods rnf :: Word32 -> () #
NFData Word64
Instance details Defined in Control.DeepSeq Methods rnf :: Word64 -> () #
NFData CallStack	Since: deepseq-1.4.2.0
Instance details Defined in Control.DeepSeq Methods rnf :: CallStack -> () #
NFData ()
Instance details Defined in Control.DeepSeq Methods rnf :: () -> () #
NFData TyCon	NOTE: Prior to `deepseq-1.4.4.0` this instance was only defined for `base-4.8.0.0` and later. Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: TyCon -> () #
NFData ByteString
Instance details Defined in Data.ByteString.Internal Methods rnf :: ByteString -> () #
NFData ByteString
Instance details Defined in Data.ByteString.Lazy.Internal Methods rnf :: ByteString -> () #
NFData Scientific
Instance details Defined in Data.Scientific Methods rnf :: Scientific -> () #
NFData UTCTime
Instance details Defined in Data.Time.Clock.Internal.UTCTime Methods rnf :: UTCTime -> () #
NFData JSONPathElement
Instance details Defined in Data.Aeson.Types.Internal Methods rnf :: JSONPathElement -> () #
NFData Value
Instance details Defined in Data.Aeson.Types.Internal Methods rnf :: Value -> () #
NFData ThreadId	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: ThreadId -> () #
NFData Void	Defined as `rnf = absurd`. Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Void -> () #
NFData Unique	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Unique -> () #
NFData Version	Since: deepseq-1.3.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Version -> () #
NFData ExitCode	Since: deepseq-1.4.2.0
Instance details Defined in Control.DeepSeq Methods rnf :: ExitCode -> () #
NFData MaskingState	Since: deepseq-1.4.4.0
Instance details Defined in Control.DeepSeq Methods rnf :: MaskingState -> () #
NFData TypeRep	NOTE: Prior to `deepseq-1.4.4.0` this instance was only defined for `base-4.8.0.0` and later. Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: TypeRep -> () #
NFData All	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: All -> () #
NFData Any	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Any -> () #
NFData CChar	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: CChar -> () #
NFData CSChar	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: CSChar -> () #
NFData CUChar	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: CUChar -> () #
NFData CShort	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: CShort -> () #
NFData CUShort	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: CUShort -> () #
NFData CInt	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: CInt -> () #
NFData CUInt	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: CUInt -> () #
NFData CLong	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: CLong -> () #
NFData CULong	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: CULong -> () #
NFData CLLong	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: CLLong -> () #
NFData CULLong	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: CULLong -> () #
NFData CBool	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods rnf :: CBool -> () #
NFData CFloat	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: CFloat -> () #
NFData CDouble	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: CDouble -> () #
NFData CPtrdiff	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: CPtrdiff -> () #
NFData CSize	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: CSize -> () #
NFData CWchar	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: CWchar -> () #
NFData CSigAtomic	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: CSigAtomic -> () #
NFData CClock	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: CClock -> () #
NFData CTime	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: CTime -> () #
NFData CUSeconds	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: CUSeconds -> () #
NFData CSUSeconds	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: CSUSeconds -> () #
NFData CFile	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: CFile -> () #
NFData CFpos	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: CFpos -> () #
NFData CJmpBuf	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: CJmpBuf -> () #
NFData CIntPtr	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: CIntPtr -> () #
NFData CUIntPtr	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: CUIntPtr -> () #
NFData CIntMax	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: CIntMax -> () #
NFData CUIntMax	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: CUIntMax -> () #
NFData Fingerprint	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Fingerprint -> () #
NFData SrcLoc	Since: deepseq-1.4.2.0
Instance details Defined in Control.DeepSeq Methods rnf :: SrcLoc -> () #
NFData IntSet
Instance details Defined in Data.IntSet.Internal Methods rnf :: IntSet -> () #
NFData Doc
Instance details Defined in Text.PrettyPrint.HughesPJ Methods rnf :: Doc -> () #
NFData TextDetails
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods rnf :: TextDetails -> () #
NFData UnicodeException
Instance details Defined in Data.Text.Encoding.Error Methods rnf :: UnicodeException -> () #
NFData ZonedTime
Instance details Defined in Data.Time.LocalTime.Internal.ZonedTime Methods rnf :: ZonedTime -> () #
NFData LocalTime
Instance details Defined in Data.Time.LocalTime.Internal.LocalTime Methods rnf :: LocalTime -> () #
NFData TimeOfDay
Instance details Defined in Data.Time.LocalTime.Internal.TimeOfDay Methods rnf :: TimeOfDay -> () #
NFData TimeZone
Instance details Defined in Data.Time.LocalTime.Internal.TimeZone Methods rnf :: TimeZone -> () #
NFData UniversalTime
Instance details Defined in Data.Time.Clock.Internal.UniversalTime Methods rnf :: UniversalTime -> () #
NFData Day
Instance details Defined in Data.Time.Calendar.Days Methods rnf :: Day -> () #
NFData UUID
Instance details Defined in Data.UUID.Types.Internal Methods rnf :: UUID -> () #
NFData a => NFData [a]
Instance details Defined in Control.DeepSeq Methods rnf :: [a] -> () #
NFData a => NFData (Maybe a)
Instance details Defined in Control.DeepSeq Methods rnf :: Maybe a -> () #
NFData a => NFData (Ratio a)
Instance details Defined in Control.DeepSeq Methods rnf :: Ratio a -> () #
NFData (Ptr a)	Since: deepseq-1.4.2.0
Instance details Defined in Control.DeepSeq Methods rnf :: Ptr a -> () #
NFData (FunPtr a)	Since: deepseq-1.4.2.0
Instance details Defined in Control.DeepSeq Methods rnf :: FunPtr a -> () #
NFData a => NFData (IResult a)
Instance details Defined in Data.Aeson.Types.Internal Methods rnf :: IResult a -> () #
NFData a => NFData (Result a)
Instance details Defined in Data.Aeson.Types.Internal Methods rnf :: Result a -> () #
NFData a => NFData (Complex a)
Instance details Defined in Control.DeepSeq Methods rnf :: Complex a -> () #
NFData (Fixed a)	Since: deepseq-1.3.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Fixed a -> () #
NFData a => NFData (Min a)	Since: deepseq-1.4.2.0
Instance details Defined in Control.DeepSeq Methods rnf :: Min a -> () #
NFData a => NFData (Max a)	Since: deepseq-1.4.2.0
Instance details Defined in Control.DeepSeq Methods rnf :: Max a -> () #
NFData a => NFData (First a)	Since: deepseq-1.4.2.0
Instance details Defined in Control.DeepSeq Methods rnf :: First a -> () #
NFData a => NFData (Last a)	Since: deepseq-1.4.2.0
Instance details Defined in Control.DeepSeq Methods rnf :: Last a -> () #
NFData m => NFData (WrappedMonoid m)	Since: deepseq-1.4.2.0
Instance details Defined in Control.DeepSeq Methods rnf :: WrappedMonoid m -> () #
NFData a => NFData (Option a)	Since: deepseq-1.4.2.0
Instance details Defined in Control.DeepSeq Methods rnf :: Option a -> () #
NFData (StableName a)	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: StableName a -> () #
NFData a => NFData (ZipList a)	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: ZipList a -> () #
NFData a => NFData (Identity a)	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Identity a -> () #
NFData (IORef a)	NOTE: Only strict in the reference and not the referenced value. Since: deepseq-1.4.2.0
Instance details Defined in Control.DeepSeq Methods rnf :: IORef a -> () #
NFData a => NFData (First a)	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: First a -> () #
NFData a => NFData (Last a)	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Last a -> () #
NFData a => NFData (Dual a)	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Dual a -> () #
NFData a => NFData (Sum a)	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Sum a -> () #
NFData a => NFData (Product a)	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Product a -> () #
NFData a => NFData (Down a)	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Down a -> () #
NFData (MVar a)	NOTE: Only strict in the reference and not the referenced value. Since: deepseq-1.4.2.0
Instance details Defined in Control.DeepSeq Methods rnf :: MVar a -> () #
NFData a => NFData (NonEmpty a)	Since: deepseq-1.4.2.0
Instance details Defined in Control.DeepSeq Methods rnf :: NonEmpty a -> () #
NFData a => NFData (IntMap a)
Instance details Defined in Data.IntMap.Internal Methods rnf :: IntMap a -> () #
NFData a => NFData (Tree a)
Instance details Defined in Data.Tree Methods rnf :: Tree a -> () #
NFData a => NFData (Seq a)
Instance details Defined in Data.Sequence.Internal Methods rnf :: Seq a -> () #
NFData a => NFData (FingerTree a)
Instance details Defined in Data.Sequence.Internal Methods rnf :: FingerTree a -> () #
NFData a => NFData (Digit a)
Instance details Defined in Data.Sequence.Internal Methods rnf :: Digit a -> () #
NFData a => NFData (Node a)
Instance details Defined in Data.Sequence.Internal Methods rnf :: Node a -> () #
NFData a => NFData (Elem a)
Instance details Defined in Data.Sequence.Internal Methods rnf :: Elem a -> () #
NFData a => NFData (Set a)
Instance details Defined in Data.Set.Internal Methods rnf :: Set a -> () #
NFData a => NFData (DList a)
Instance details Defined in Data.DList Methods rnf :: DList a -> () #
NFData a => NFData (Hashed a)
Instance details Defined in Data.Hashable.Class Methods rnf :: Hashed a -> () #
NFData (Vector a)
Instance details Defined in Data.Vector.Primitive Methods rnf :: Vector a -> () #
NFData (Vector a)
Instance details Defined in Data.Vector.Storable Methods rnf :: Vector a -> () #
NFData (Vector a)
Instance details Defined in Data.Vector.Unboxed.Base Methods rnf :: Vector a -> () #
NFData a => NFData (HashSet a)
Instance details Defined in Data.HashSet Methods rnf :: HashSet a -> () #
NFData a => NFData (Vector a)
Instance details Defined in Data.Vector Methods rnf :: Vector a -> () #
NFData a => NFData (Doc a)
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods rnf :: Doc a -> () #
NFData a => NFData (AnnotDetails a)
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods rnf :: AnnotDetails a -> () #
NFData (a -> b)	This instance is for convenience and consistency with `seq`. This assumes that WHNF is equivalent to NF for functions. Since: deepseq-1.3.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: (a -> b) -> () #
(NFData a, NFData b) => NFData (Either a b)
Instance details Defined in Control.DeepSeq Methods rnf :: Either a b -> () #
(NFData a, NFData b) => NFData (a, b)
Instance details Defined in Control.DeepSeq Methods rnf :: (a, b) -> () #
(NFData k, NFData v) => NFData (HashMap k v)
Instance details Defined in Data.HashMap.Base Methods rnf :: HashMap k v -> () #
(NFData k, NFData a) => NFData (Map k a)
Instance details Defined in Data.Map.Internal Methods rnf :: Map k a -> () #
(NFData a, NFData b) => NFData (Array a b)
Instance details Defined in Control.DeepSeq Methods rnf :: Array a b -> () #
(NFData i, NFData r) => NFData (IResult i r)
Instance details Defined in Data.Attoparsec.Internal.Types Methods rnf :: IResult i r -> () #
(NFData a, NFData b) => NFData (Arg a b)	Since: deepseq-1.4.2.0
Instance details Defined in Control.DeepSeq Methods rnf :: Arg a b -> () #
NFData (Proxy a)	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Proxy a -> () #
NFData (STRef s a)	NOTE: Only strict in the reference and not the referenced value. Since: deepseq-1.4.2.0
Instance details Defined in Control.DeepSeq Methods rnf :: STRef s a -> () #
(NFData k, NFData v) => NFData (Leaf k v)
Instance details Defined in Data.HashMap.Base Methods rnf :: Leaf k v -> () #
NFData (MVector s a)
Instance details Defined in Data.Vector.Unboxed.Base Methods rnf :: MVector s a -> () #
(NFData a1, NFData a2, NFData a3) => NFData (a1, a2, a3)
Instance details Defined in Control.DeepSeq Methods rnf :: (a1, a2, a3) -> () #
NFData a => NFData (Const a b)	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Const a b -> () #
NFData (a :~: b)	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods rnf :: (a :~: b) -> () #
NFData b => NFData (Tagged s b)
Instance details Defined in Data.Tagged Methods rnf :: Tagged s b -> () #
(NFData a1, NFData a2, NFData a3, NFData a4) => NFData (a1, a2, a3, a4)
Instance details Defined in Control.DeepSeq Methods rnf :: (a1, a2, a3, a4) -> () #
(NFData1 f, NFData1 g, NFData a) => NFData (Product f g a)	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods rnf :: Product f g a -> () #
(NFData1 f, NFData1 g, NFData a) => NFData (Sum f g a)	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods rnf :: Sum f g a -> () #
NFData (a :~~: b)	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods rnf :: (a :~~: b) -> () #
(NFData a1, NFData a2, NFData a3, NFData a4, NFData a5) => NFData (a1, a2, a3, a4, a5)
Instance details Defined in Control.DeepSeq Methods rnf :: (a1, a2, a3, a4, a5) -> () #
(NFData1 f, NFData1 g, NFData a) => NFData (Compose f g a)	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods rnf :: Compose f g a -> () #
(NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6) => NFData (a1, a2, a3, a4, a5, a6)
Instance details Defined in Control.DeepSeq Methods rnf :: (a1, a2, a3, a4, a5, a6) -> () #
(NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6, NFData a7) => NFData (a1, a2, a3, a4, a5, a6, a7)
Instance details Defined in Control.DeepSeq Methods rnf :: (a1, a2, a3, a4, a5, a6, a7) -> () #
(NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6, NFData a7, NFData a8) => NFData (a1, a2, a3, a4, a5, a6, a7, a8)
Instance details Defined in Control.DeepSeq Methods rnf :: (a1, a2, a3, a4, a5, a6, a7, a8) -> () #
(NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6, NFData a7, NFData a8, NFData a9) => NFData (a1, a2, a3, a4, a5, a6, a7, a8, a9)
Instance details Defined in Control.DeepSeq Methods rnf :: (a1, a2, a3, a4, a5, a6, a7, a8, a9) -> () #

newtype ExceptT e (m :: Type -> Type) a #

A monad transformer that adds exceptions to other monads.

ExceptT constructs a monad parameterized over two things:

e - The exception type.
m - The inner monad.

The return function yields a computation that produces the given value, while >>= sequences two subcomputations, exiting on the first exception.

Constructors

ExceptT (m (Either e a))

Instances

MonadSplit g m => MonadSplit g (ExceptT e m)
Instance details Defined in Control.Monad.Random.Class Methods getSplit :: ExceptT e m g #
MonadReader r m => MonadReader r (ExceptT e m)	Since: mtl-2.2
Instance details Defined in Control.Monad.Reader.Class Methods ask :: ExceptT e m r # local :: (r -> r) -> ExceptT e m a -> ExceptT e m a # reader :: (r -> a) -> ExceptT e m a #
MonadState s m => MonadState s (ExceptT e m)	Since: mtl-2.2
Instance details Defined in Control.Monad.State.Class Methods get :: ExceptT e m s # put :: s -> ExceptT e m () # state :: (s -> (a, s)) -> ExceptT e m a #
Monad m => MonadError e (ExceptT e m)	Since: mtl-2.2
Instance details Defined in Control.Monad.Error.Class Methods throwError :: e -> ExceptT e m a # catchError :: ExceptT e m a -> (e -> ExceptT e m a) -> ExceptT e m a #
MonadBaseControl b m => MonadBaseControl b (ExceptT e m)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM (ExceptT e m) a :: Type # Methods liftBaseWith :: (RunInBase (ExceptT e m) b -> b a) -> ExceptT e m a # restoreM :: StM (ExceptT e m) a -> ExceptT e m a #
MonadTrans (ExceptT e)
Instance details Defined in Control.Monad.Trans.Except Methods lift :: Monad m => m a -> ExceptT e m a #
MonadTransControl (ExceptT e)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StT (ExceptT e) a :: Type # Methods liftWith :: Monad m => (Run (ExceptT e) -> m a) -> ExceptT e m a # restoreT :: Monad m => m (StT (ExceptT e) a) -> ExceptT e m a #
Monad m => Monad (ExceptT e m)
Instance details Defined in Control.Monad.Trans.Except Methods (>>=) :: ExceptT e m a -> (a -> ExceptT e m b) -> ExceptT e m b # (>>) :: ExceptT e m a -> ExceptT e m b -> ExceptT e m b # return :: a -> ExceptT e m a # fail :: String -> ExceptT e m a #
Functor m => Functor (ExceptT e m)
Instance details Defined in Control.Monad.Trans.Except Methods fmap :: (a -> b) -> ExceptT e m a -> ExceptT e m b # (<$) :: a -> ExceptT e m b -> ExceptT e m a #
MonadFix m => MonadFix (ExceptT e m)
Instance details Defined in Control.Monad.Trans.Except Methods mfix :: (a -> ExceptT e m a) -> ExceptT e m a #
MonadFail m => MonadFail (ExceptT e m)
Instance details Defined in Control.Monad.Trans.Except Methods fail :: String -> ExceptT e m a #
(Functor m, Monad m) => Applicative (ExceptT e m)
Instance details Defined in Control.Monad.Trans.Except Methods pure :: a -> ExceptT e m a # (<>) :: ExceptT e m (a -> b) -> ExceptT e m a -> ExceptT e m b # liftA2 :: (a -> b -> c) -> ExceptT e m a -> ExceptT e m b -> ExceptT e m c # (>) :: ExceptT e m a -> ExceptT e m b -> ExceptT e m b # (<*) :: ExceptT e m a -> ExceptT e m b -> ExceptT e m a #
Foldable f => Foldable (ExceptT e f)
Instance details Defined in Control.Monad.Trans.Except Methods fold :: Monoid m => ExceptT e f m -> m # foldMap :: Monoid m => (a -> m) -> ExceptT e f a -> m # foldr :: (a -> b -> b) -> b -> ExceptT e f a -> b # foldr' :: (a -> b -> b) -> b -> ExceptT e f a -> b # foldl :: (b -> a -> b) -> b -> ExceptT e f a -> b # foldl' :: (b -> a -> b) -> b -> ExceptT e f a -> b # foldr1 :: (a -> a -> a) -> ExceptT e f a -> a # foldl1 :: (a -> a -> a) -> ExceptT e f a -> a # toList :: ExceptT e f a -> [a] # null :: ExceptT e f a -> Bool # length :: ExceptT e f a -> Int # elem :: Eq a => a -> ExceptT e f a -> Bool # maximum :: Ord a => ExceptT e f a -> a # minimum :: Ord a => ExceptT e f a -> a # sum :: Num a => ExceptT e f a -> a # product :: Num a => ExceptT e f a -> a #
Traversable f => Traversable (ExceptT e f)
Instance details Defined in Control.Monad.Trans.Except Methods traverse :: Applicative f0 => (a -> f0 b) -> ExceptT e f a -> f0 (ExceptT e f b) # sequenceA :: Applicative f0 => ExceptT e f (f0 a) -> f0 (ExceptT e f a) # mapM :: Monad m => (a -> m b) -> ExceptT e f a -> m (ExceptT e f b) # sequence :: Monad m => ExceptT e f (m a) -> m (ExceptT e f a) #
(Monad m, Monoid e) => MonadPlus (ExceptT e m)
Instance details Defined in Control.Monad.Trans.Except Methods mzero :: ExceptT e m a # mplus :: ExceptT e m a -> ExceptT e m a -> ExceptT e m a #
MonadIO m => MonadIO (ExceptT e m)
Instance details Defined in Control.Monad.Trans.Except Methods liftIO :: IO a -> ExceptT e m a #
MonadRandom m => MonadRandom (ExceptT e m)
Instance details Defined in Control.Monad.Random.Class Methods getRandomR :: Random a => (a, a) -> ExceptT e m a # getRandom :: Random a => ExceptT e m a # getRandomRs :: Random a => (a, a) -> ExceptT e m [a] # getRandoms :: Random a => ExceptT e m [a] #
MonadInterleave m => MonadInterleave (ExceptT e m)
Instance details Defined in Control.Monad.Random.Class Methods interleave :: ExceptT e m a -> ExceptT e m a #
Contravariant m => Contravariant (ExceptT e m)
Instance details Defined in Control.Monad.Trans.Except Methods contramap :: (a -> b) -> ExceptT e m b -> ExceptT e m a # (>$) :: b -> ExceptT e m b -> ExceptT e m a #
(Functor m, Monad m, Monoid e) => Alternative (ExceptT e m)
Instance details Defined in Control.Monad.Trans.Except Methods empty :: ExceptT e m a # (<\|>) :: ExceptT e m a -> ExceptT e m a -> ExceptT e m a # some :: ExceptT e m a -> ExceptT e m [a] # many :: ExceptT e m a -> ExceptT e m [a] #
(Eq e, Eq1 m) => Eq1 (ExceptT e m)
Instance details Defined in Control.Monad.Trans.Except Methods liftEq :: (a -> b -> Bool) -> ExceptT e m a -> ExceptT e m b -> Bool #
(Ord e, Ord1 m) => Ord1 (ExceptT e m)
Instance details Defined in Control.Monad.Trans.Except Methods liftCompare :: (a -> b -> Ordering) -> ExceptT e m a -> ExceptT e m b -> Ordering #
(Read e, Read1 m) => Read1 (ExceptT e m)
Instance details Defined in Control.Monad.Trans.Except Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (ExceptT e m a) # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [ExceptT e m a] # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (ExceptT e m a) # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [ExceptT e m a] #
(Show e, Show1 m) => Show1 (ExceptT e m)
Instance details Defined in Control.Monad.Trans.Except Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> ExceptT e m a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [ExceptT e m a] -> ShowS #
MonadZip m => MonadZip (ExceptT e m)
Instance details Defined in Control.Monad.Trans.Except Methods mzip :: ExceptT e m a -> ExceptT e m b -> ExceptT e m (a, b) # mzipWith :: (a -> b -> c) -> ExceptT e m a -> ExceptT e m b -> ExceptT e m c # munzip :: ExceptT e m (a, b) -> (ExceptT e m a, ExceptT e m b) #
MonadThrow m => MonadThrow (ExceptT e m)	Throws exceptions into the base monad.
Instance details Defined in Control.Monad.Catch Methods throwM :: Exception e0 => e0 -> ExceptT e m a #
MonadCatch m => MonadCatch (ExceptT e m)	Catches exceptions from the base monad.
Instance details Defined in Control.Monad.Catch Methods catch :: Exception e0 => ExceptT e m a -> (e0 -> ExceptT e m a) -> ExceptT e m a #
MonadMask m => MonadMask (ExceptT e m)	Since: exceptions-0.9.0
Instance details Defined in Control.Monad.Catch Methods mask :: ((forall a. ExceptT e m a -> ExceptT e m a) -> ExceptT e m b) -> ExceptT e m b # uninterruptibleMask :: ((forall a. ExceptT e m a -> ExceptT e m a) -> ExceptT e m b) -> ExceptT e m b # generalBracket :: ExceptT e m a -> (a -> ExitCase b -> ExceptT e m c) -> (a -> ExceptT e m b) -> ExceptT e m (b, c) #
PrimMonad m => PrimMonad (ExceptT e m)
Instance details Defined in Control.Monad.Primitive Associated Types type PrimState (ExceptT e m) :: Type # Methods primitive :: (State# (PrimState (ExceptT e m)) -> (#State# (PrimState (ExceptT e m)), a#)) -> ExceptT e m a #
Zoom m n s t => Zoom (ExceptT e m) (ExceptT e n) s t
Instance details Defined in Control.Lens.Zoom Methods zoom :: LensLike' (Zoomed (ExceptT e m) c) t s -> ExceptT e m c -> ExceptT e n c #
(Eq e, Eq1 m, Eq a) => Eq (ExceptT e m a)
Instance details Defined in Control.Monad.Trans.Except Methods (==) :: ExceptT e m a -> ExceptT e m a -> Bool # (/=) :: ExceptT e m a -> ExceptT e m a -> Bool #
(Ord e, Ord1 m, Ord a) => Ord (ExceptT e m a)
Instance details Defined in Control.Monad.Trans.Except Methods compare :: ExceptT e m a -> ExceptT e m a -> Ordering # (<) :: ExceptT e m a -> ExceptT e m a -> Bool # (<=) :: ExceptT e m a -> ExceptT e m a -> Bool # (>) :: ExceptT e m a -> ExceptT e m a -> Bool # (>=) :: ExceptT e m a -> ExceptT e m a -> Bool # max :: ExceptT e m a -> ExceptT e m a -> ExceptT e m a # min :: ExceptT e m a -> ExceptT e m a -> ExceptT e m a #
(Read e, Read1 m, Read a) => Read (ExceptT e m a)
Instance details Defined in Control.Monad.Trans.Except Methods readsPrec :: Int -> ReadS (ExceptT e m a) # readList :: ReadS [ExceptT e m a] # readPrec :: ReadPrec (ExceptT e m a) # readListPrec :: ReadPrec [ExceptT e m a] #
(Show e, Show1 m, Show a) => Show (ExceptT e m a)
Instance details Defined in Control.Monad.Trans.Except Methods showsPrec :: Int -> ExceptT e m a -> ShowS # show :: ExceptT e m a -> String # showList :: [ExceptT e m a] -> ShowS #
Wrapped (ExceptT e m a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (ExceptT e m a) :: Type # Methods _Wrapped' :: Iso' (ExceptT e m a) (Unwrapped (ExceptT e m a)) #
t ~ ExceptT e' m' a' => Rewrapped (ExceptT e m a) t
Instance details Defined in Control.Lens.Wrapped
type StT (ExceptT e) a
Instance details Defined in Control.Monad.Trans.Control type StT (ExceptT e) a = Either e a
type Zoomed (ExceptT e m)
Instance details Defined in Control.Lens.Zoom type Zoomed (ExceptT e m) = FocusingErr e (Zoomed m)
type PrimState (ExceptT e m)
Instance details Defined in Control.Monad.Primitive type PrimState (ExceptT e m) = PrimState m
type StM (ExceptT e m) a
Instance details Defined in Control.Monad.Trans.Control type StM (ExceptT e m) a = ComposeSt (ExceptT e) m a
type Unwrapped (ExceptT e m a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (ExceptT e m a) = m (Either e a)

catches :: (Foldable f, MonadCatch m) => m a -> f (Handler m a) -> m a #

Catches different sorts of exceptions. See Control.Exception's catches

try :: (MonadCatch m, Exception e) => m a -> m (Either e a) #

Similar to catch, but returns an Either result. See Control.Exception's try.

handleIf :: (MonadCatch m, Exception e) => (e -> Bool) -> (e -> m a) -> m a -> m a #

Flipped catchIf

handle :: (MonadCatch m, Exception e) => (e -> m a) -> m a -> m a #

Flipped catch. See Control.Exception's handle.

catchIf :: (MonadCatch m, Exception e) => (e -> Bool) -> m a -> (e -> m a) -> m a #

Catch exceptions only if they pass some predicate. Often useful with the predicates for testing IOError values in System.IO.Error.

class Monad m => MonadThrow (m :: Type -> Type) where #

A class for monads in which exceptions may be thrown.

Instances should obey the following law:

throwM e >> x = throwM e

In other words, throwing an exception short-circuits the rest of the monadic computation.

Methods

throwM :: Exception e => e -> m a #

Throw an exception. Note that this throws when this action is run in the monad m, not when it is applied. It is a generalization of Control.Exception's throwIO.

Should satisfy the law:

throwM e >> f = throwM e

Instances

MonadThrow []
Instance details Defined in Control.Monad.Catch Methods throwM :: Exception e => e -> [a] #
MonadThrow Maybe
Instance details Defined in Control.Monad.Catch Methods throwM :: Exception e => e -> Maybe a #
MonadThrow IO
Instance details Defined in Control.Monad.Catch Methods throwM :: Exception e => e -> IO a #
MonadThrow Q
Instance details Defined in Control.Monad.Catch Methods throwM :: Exception e => e -> Q a #
MonadThrow STM
Instance details Defined in Control.Monad.Catch Methods throwM :: Exception e => e -> STM a #
e ~ SomeException => MonadThrow (Either e)
Instance details Defined in Control.Monad.Catch Methods throwM :: Exception e0 => e0 -> Either e a #
MonadThrow m => MonadThrow (MaybeT m)	Throws exceptions into the base monad.
Instance details Defined in Control.Monad.Catch Methods throwM :: Exception e => e -> MaybeT m a #
MonadThrow m => MonadThrow (ListT m)
Instance details Defined in Control.Monad.Catch Methods throwM :: Exception e => e -> ListT m a #
MonadThrow m => MonadThrow (IdentityT m)
Instance details Defined in Control.Monad.Catch Methods throwM :: Exception e => e -> IdentityT m a #
MonadThrow m => MonadThrow (ExceptT e m)	Throws exceptions into the base monad.
Instance details Defined in Control.Monad.Catch Methods throwM :: Exception e0 => e0 -> ExceptT e m a #
(Functor f, MonadThrow m) => MonadThrow (FreeT f m)
Instance details Defined in Control.Monad.Trans.Free Methods throwM :: Exception e => e -> FreeT f m a #
(Error e, MonadThrow m) => MonadThrow (ErrorT e m)	Throws exceptions into the base monad.
Instance details Defined in Control.Monad.Catch Methods throwM :: Exception e0 => e0 -> ErrorT e m a #
MonadThrow m => MonadThrow (StateT s m)
Instance details Defined in Control.Monad.Catch Methods throwM :: Exception e => e -> StateT s m a #
(MonadThrow m, Monoid w) => MonadThrow (WriterT w m)
Instance details Defined in Control.Monad.Catch Methods throwM :: Exception e => e -> WriterT w m a #
MonadThrow m => MonadThrow (StateT s m)
Instance details Defined in Control.Monad.Catch Methods throwM :: Exception e => e -> StateT s m a #
(MonadThrow m, Monoid w) => MonadThrow (WriterT w m)
Instance details Defined in Control.Monad.Catch Methods throwM :: Exception e => e -> WriterT w m a #
MonadThrow m => MonadThrow (ReaderT r m)
Instance details Defined in Control.Monad.Catch Methods throwM :: Exception e => e -> ReaderT r m a #
MonadThrow m => MonadThrow (ContT r m)
Instance details Defined in Control.Monad.Catch Methods throwM :: Exception e => e -> ContT r m a #
(MonadThrow m, Monoid w) => MonadThrow (RWST r w s m)
Instance details Defined in Control.Monad.Catch Methods throwM :: Exception e => e -> RWST r w s m a #
(MonadThrow m, Monoid w) => MonadThrow (RWST r w s m)
Instance details Defined in Control.Monad.Catch Methods throwM :: Exception e => e -> RWST r w s m a #

class MonadThrow m => MonadCatch (m :: Type -> Type) where #

A class for monads which allow exceptions to be caught, in particular exceptions which were thrown by throwM.

Instances should obey the following law:

catch (throwM e) f = f e

Note that the ability to catch an exception does not guarantee that we can deal with all possible exit points from a computation. Some monads, such as continuation-based stacks, allow for more than just a success/failure strategy, and therefore catch cannot be used by those monads to properly implement a function such as finally. For more information, see MonadMask.

Methods

catch :: Exception e => m a -> (e -> m a) -> m a #

Provide a handler for exceptions thrown during execution of the first action. Note that type of the type of the argument to the handler will constrain which exceptions are caught. See Control.Exception's catch.

Instances

MonadCatch IO
Instance details Defined in Control.Monad.Catch Methods catch :: Exception e => IO a -> (e -> IO a) -> IO a #
MonadCatch STM
Instance details Defined in Control.Monad.Catch Methods catch :: Exception e => STM a -> (e -> STM a) -> STM a #
e ~ SomeException => MonadCatch (Either e)	Since: exceptions-0.8.3
Instance details Defined in Control.Monad.Catch Methods catch :: Exception e0 => Either e a -> (e0 -> Either e a) -> Either e a #
MonadCatch m => MonadCatch (MaybeT m)	Catches exceptions from the base monad.
Instance details Defined in Control.Monad.Catch Methods catch :: Exception e => MaybeT m a -> (e -> MaybeT m a) -> MaybeT m a #
MonadCatch m => MonadCatch (ListT m)
Instance details Defined in Control.Monad.Catch Methods catch :: Exception e => ListT m a -> (e -> ListT m a) -> ListT m a #
MonadCatch m => MonadCatch (IdentityT m)
Instance details Defined in Control.Monad.Catch Methods catch :: Exception e => IdentityT m a -> (e -> IdentityT m a) -> IdentityT m a #
MonadCatch m => MonadCatch (ExceptT e m)	Catches exceptions from the base monad.
Instance details Defined in Control.Monad.Catch Methods catch :: Exception e0 => ExceptT e m a -> (e0 -> ExceptT e m a) -> ExceptT e m a #
(Functor f, MonadCatch m) => MonadCatch (FreeT f m)
Instance details Defined in Control.Monad.Trans.Free Methods catch :: Exception e => FreeT f m a -> (e -> FreeT f m a) -> FreeT f m a #
(Error e, MonadCatch m) => MonadCatch (ErrorT e m)	Catches exceptions from the base monad.
Instance details Defined in Control.Monad.Catch Methods catch :: Exception e0 => ErrorT e m a -> (e0 -> ErrorT e m a) -> ErrorT e m a #
MonadCatch m => MonadCatch (StateT s m)
Instance details Defined in Control.Monad.Catch Methods catch :: Exception e => StateT s m a -> (e -> StateT s m a) -> StateT s m a #
(MonadCatch m, Monoid w) => MonadCatch (WriterT w m)
Instance details Defined in Control.Monad.Catch Methods catch :: Exception e => WriterT w m a -> (e -> WriterT w m a) -> WriterT w m a #
MonadCatch m => MonadCatch (StateT s m)
Instance details Defined in Control.Monad.Catch Methods catch :: Exception e => StateT s m a -> (e -> StateT s m a) -> StateT s m a #
(MonadCatch m, Monoid w) => MonadCatch (WriterT w m)
Instance details Defined in Control.Monad.Catch Methods catch :: Exception e => WriterT w m a -> (e -> WriterT w m a) -> WriterT w m a #
MonadCatch m => MonadCatch (ReaderT r m)
Instance details Defined in Control.Monad.Catch Methods catch :: Exception e => ReaderT r m a -> (e -> ReaderT r m a) -> ReaderT r m a #
(MonadCatch m, Monoid w) => MonadCatch (RWST r w s m)
Instance details Defined in Control.Monad.Catch Methods catch :: Exception e => RWST r w s m a -> (e -> RWST r w s m a) -> RWST r w s m a #
(MonadCatch m, Monoid w) => MonadCatch (RWST r w s m)
Instance details Defined in Control.Monad.Catch Methods catch :: Exception e => RWST r w s m a -> (e -> RWST r w s m a) -> RWST r w s m a #

data Handler (m :: Type -> Type) a where #

Generalized version of Handler

Constructors

Handler :: forall (m :: Type -> Type) a e. Exception e => (e -> m a) -> Handler m a

Instances

Monad m => Functor (Handler m)
Instance details Defined in Control.Monad.Catch Methods fmap :: (a -> b) -> Handler m a -> Handler m b # (<$) :: a -> Handler m b -> Handler m a #

hashUsing #

Arguments

:: Hashable b
=> (a -> b)	Transformation function.
-> Int	Salt.
-> a	Value to transform.
-> Int

Transform a value into a Hashable value, then hash the transformed value using the given salt.

This is a useful shorthand in cases where a type can easily be mapped to another type that is already an instance of Hashable. Example:

data Foo = Foo | Bar
         deriving (Enum)

instance Hashable Foo where
    hashWithSalt = hashUsing fromEnum

class Monad m => MonadError e (m :: Type -> Type) | m -> e where #

The strategy of combining computations that can throw exceptions by bypassing bound functions from the point an exception is thrown to the point that it is handled.

Is parameterized over the type of error information and the monad type constructor. It is common to use Either String as the monad type constructor for an error monad in which error descriptions take the form of strings. In that case and many other common cases the resulting monad is already defined as an instance of the MonadError class. You can also define your own error type and/or use a monad type constructor other than Either String or Either IOError. In these cases you will have to explicitly define instances of the MonadError class. (If you are using the deprecated Control.Monad.Error or Control.Monad.Trans.Error, you may also have to define an Error instance.)

Methods

throwError :: e -> m a #

Is used within a monadic computation to begin exception processing.

catchError :: m a -> (e -> m a) -> m a #

A handler function to handle previous errors and return to normal execution. A common idiom is:

do { action1; action2; action3 } `catchError` handler

where the action functions can call throwError. Note that handler and the do-block must have the same return type.

Instances

MonadError () Maybe	Since: mtl-2.2.2
Instance details Defined in Control.Monad.Error.Class Methods throwError :: () -> Maybe a # catchError :: Maybe a -> (() -> Maybe a) -> Maybe a #
MonadError IOException IO
Instance details Defined in Control.Monad.Error.Class Methods throwError :: IOException -> IO a # catchError :: IO a -> (IOException -> IO a) -> IO a #
MonadError e m => MonadError e (MaybeT m)
Instance details Defined in Control.Monad.Error.Class Methods throwError :: e -> MaybeT m a # catchError :: MaybeT m a -> (e -> MaybeT m a) -> MaybeT m a #
MonadError e m => MonadError e (ListT m)
Instance details Defined in Control.Monad.Error.Class Methods throwError :: e -> ListT m a # catchError :: ListT m a -> (e -> ListT m a) -> ListT m a #
MonadError e (Either e)
Instance details Defined in Control.Monad.Error.Class Methods throwError :: e -> Either e a # catchError :: Either e a -> (e -> Either e a) -> Either e a #
(Functor m, MonadError e m) => MonadError e (Free m)
Instance details Defined in Control.Monad.Free Methods throwError :: e -> Free m a # catchError :: Free m a -> (e -> Free m a) -> Free m a #
(Monoid w, MonadError e m) => MonadError e (WriterT w m)
Instance details Defined in Control.Monad.Error.Class Methods throwError :: e -> WriterT w m a # catchError :: WriterT w m a -> (e -> WriterT w m a) -> WriterT w m a #
(Monoid w, MonadError e m) => MonadError e (WriterT w m)
Instance details Defined in Control.Monad.Error.Class Methods throwError :: e -> WriterT w m a # catchError :: WriterT w m a -> (e -> WriterT w m a) -> WriterT w m a #
MonadError e m => MonadError e (StateT s m)
Instance details Defined in Control.Monad.Error.Class Methods throwError :: e -> StateT s m a # catchError :: StateT s m a -> (e -> StateT s m a) -> StateT s m a #
MonadError e m => MonadError e (StateT s m)
Instance details Defined in Control.Monad.Error.Class Methods throwError :: e -> StateT s m a # catchError :: StateT s m a -> (e -> StateT s m a) -> StateT s m a #
MonadError e m => MonadError e (IdentityT m)
Instance details Defined in Control.Monad.Error.Class Methods throwError :: e -> IdentityT m a # catchError :: IdentityT m a -> (e -> IdentityT m a) -> IdentityT m a #
Monad m => MonadError e (ExceptT e m)	Since: mtl-2.2
Instance details Defined in Control.Monad.Error.Class Methods throwError :: e -> ExceptT e m a # catchError :: ExceptT e m a -> (e -> ExceptT e m a) -> ExceptT e m a #
(Monad m, Error e) => MonadError e (ErrorT e m)
Instance details Defined in Control.Monad.Error.Class Methods throwError :: e -> ErrorT e m a # catchError :: ErrorT e m a -> (e -> ErrorT e m a) -> ErrorT e m a #
(Functor f, MonadError e m) => MonadError e (FreeT f m)
Instance details Defined in Control.Monad.Trans.Free Methods throwError :: e -> FreeT f m a # catchError :: FreeT f m a -> (e -> FreeT f m a) -> FreeT f m a #
MonadError e m => MonadError e (RandT g m)
Instance details Defined in Control.Monad.Trans.Random.Lazy Methods throwError :: e -> RandT g m a # catchError :: RandT g m a -> (e -> RandT g m a) -> RandT g m a #
MonadError e m => MonadError e (ReaderT r m)
Instance details Defined in Control.Monad.Error.Class Methods throwError :: e -> ReaderT r m a # catchError :: ReaderT r m a -> (e -> ReaderT r m a) -> ReaderT r m a #
(Monoid w, MonadError e m) => MonadError e (RWST r w s m)
Instance details Defined in Control.Monad.Error.Class Methods throwError :: e -> RWST r w s m a # catchError :: RWST r w s m a -> (e -> RWST r w s m a) -> RWST r w s m a #
(Monoid w, MonadError e m) => MonadError e (RWST r w s m)
Instance details Defined in Control.Monad.Error.Class Methods throwError :: e -> RWST r w s m a # catchError :: RWST r w s m a -> (e -> RWST r w s m a) -> RWST r w s m a #

toStrict :: Text -> Text #

O(n) Convert a lazy Text into a strict Text.

runState #

Arguments

:: State s a	state-passing computation to execute
-> s	initial state
-> (a, s)	return value and final state

Unwrap a state monad computation as a function. (The inverse of state.)

type State s = StateT s Identity #

A state monad parameterized by the type s of the state to carry.

The return function leaves the state unchanged, while >>= uses the final state of the first computation as the initial state of the second.

type Reader r = ReaderT r Identity #

The parameterizable reader monad.

Computations are functions of a shared environment.

The return function ignores the environment, while >>= passes the inherited environment to both subcomputations.

gets :: MonadState s m => (s -> a) -> m a #

Gets specific component of the state, using a projection function supplied.

defaultFieldRules :: LensRules #

makeFieldsNoPrefix :: Name -> DecsQ #

Generate overloaded field accessors based on field names which are only prefixed with an underscore (e.g. _name), not additionally with the type name (e.g. _fooName).

This might be the desired behaviour in case the DuplicateRecordFields language extension is used in order to get rid of the necessity to prefix each field name with the type name.

As an example:

data Foo a  = Foo { _x :: Int, _y :: a }
newtype Bar = Bar { _x :: Char }
makeFieldsNoPrefix ''Foo
makeFieldsNoPrefix ''Bar

will create classes

class HasX s a | s -> a where
  x :: Lens' s a
class HasY s a | s -> a where
  y :: Lens' s a

together with instances

instance HasX (Foo a) Int
instance HasY (Foo a) a where
instance HasX Bar Char where

For details, see classUnderscoreNoPrefixFields.

makeFieldsNoPrefix = makeLensesWith classUnderscoreNoPrefixFields

makeFields :: Name -> DecsQ #

Generate overloaded field accessors.

e.g

data Foo a = Foo { _fooX :: Int, _fooY :: a }
newtype Bar = Bar { _barX :: Char }
makeFields ''Foo
makeFields ''Bar

will create

_fooXLens :: Lens' (Foo a) Int
_fooYLens :: Lens (Foo a) (Foo b) a b
class HasX s a | s -> a where
  x :: Lens' s a
instance HasX (Foo a) Int where
  x = _fooXLens
class HasY s a | s -> a where
  y :: Lens' s a
instance HasY (Foo a) a where
  y = _fooYLens
_barXLens :: Iso' Bar Char
instance HasX Bar Char where
  x = _barXLens

For details, see camelCaseFields.

makeFields = makeLensesWith defaultFieldRules

abbreviatedNamer :: FieldNamer #

A FieldNamer for abbreviatedFields.

abbreviatedFields :: LensRules #

Field rules fields in the form prefixFieldname or _prefixFieldname If you want all fields to be lensed, then there is no reason to use an _ before the prefix. If any of the record fields leads with an _ then it is assume a field without an _ should not have a lens created.

Note that prefix may be any string of characters that are not uppercase letters. (In particular, it may be arbitrary string of lowercase letters and numbers) This is the behavior that defaultFieldRules had in lens 4.4 and earlier.

classUnderscoreNoPrefixNamer :: FieldNamer #

A FieldNamer for classUnderscoreNoPrefixFields.

classUnderscoreNoPrefixFields :: LensRules #

Field rules for fields in the form _fieldname (the leading underscore is mandatory).

Note: The primary difference to camelCaseFields is that for classUnderscoreNoPrefixFields the field names are not expected to be prefixed with the type name. This might be the desired behaviour when the DuplicateRecordFields extension is enabled.

camelCaseNamer :: FieldNamer #

A FieldNamer for camelCaseFields.

camelCaseFields :: LensRules #

Field rules for fields in the form prefixFieldname or _prefixFieldname If you want all fields to be lensed, then there is no reason to use an _ before the prefix. If any of the record fields leads with an _ then it is assume a field without an _ should not have a lens created.

Note: The prefix must be the same as the typename (with the first letter lowercased). This is a change from lens versions before lens 4.5. If you want the old behaviour, use makeLensesWith abbreviatedFields

underscoreNamer :: FieldNamer #

A FieldNamer for underscoreFields.

underscoreFields :: LensRules #

Field rules for fields in the form _prefix_fieldname

makeWrapped :: Name -> DecsQ #

Build Wrapped instance for a given newtype

declareLensesWith :: LensRules -> DecsQ -> DecsQ #

Declare lenses for each records in the given declarations, using the specified LensRules. Any record syntax in the input will be stripped off.

declareFields :: DecsQ -> DecsQ #

 declareFields = declareLensesWith defaultFieldRules

declareWrapped :: DecsQ -> DecsQ #

Build Wrapped instance for each newtype.

declarePrisms :: DecsQ -> DecsQ #

Generate a Prism for each constructor of each data type.

e.g.

declarePrisms [d|
  data Exp = Lit Int | Var String | Lambda{ bound::String, body::Exp }
  |]

will create

data Exp = Lit Int | Var String | Lambda { bound::String, body::Exp }
_Lit :: Prism' Exp Int
_Var :: Prism' Exp String
_Lambda :: Prism' Exp (String, Exp)

declareClassyFor :: [(String, (String, String))] -> [(String, String)] -> DecsQ -> DecsQ #

Similar to makeClassyFor, but takes a declaration quote.

declareClassy :: DecsQ -> DecsQ #

For each record in the declaration quote, make lenses and traversals for it, and create a class when the type has no arguments. All record syntax in the input will be stripped off.

e.g.

declareClassy [d|
  data Foo = Foo { fooX, fooY :: Int }
    deriving Show
  |]

will create

data Foo = Foo Int Int deriving Show
class HasFoo t where
  foo :: Lens' t Foo
instance HasFoo Foo where foo = id
fooX, fooY :: HasFoo t => Lens' t Int

declareLensesFor :: [(String, String)] -> DecsQ -> DecsQ #

Similar to makeLensesFor, but takes a declaration quote.

declareLenses :: DecsQ -> DecsQ #

Make lenses for all records in the given declaration quote. All record syntax in the input will be stripped off.

e.g.

declareLenses [d|
  data Foo = Foo { fooX, fooY :: Int }
    deriving Show
  |]

will create

data Foo = Foo Int Int deriving Show
fooX, fooY :: Lens' Foo Int

makeLensesWith :: LensRules -> Name -> DecsQ #

Build lenses with a custom configuration.

makeClassyFor :: String -> String -> [(String, String)] -> Name -> DecsQ #

Derive lenses and traversals, using a named wrapper class, and specifying explicit pairings of (fieldName, traversalName).

Example usage:

makeClassyFor "HasFoo" "foo" [("_foo", "fooLens"), ("bar", "lbar")] ''Foo

makeLensesFor :: [(String, String)] -> Name -> DecsQ #

Derive lenses and traversals, specifying explicit pairings of (fieldName, lensName).

If you map multiple names to the same label, and it is present in the same constructor then this will generate a Traversal.

e.g.

makeLensesFor [("_foo", "fooLens"), ("baz", "lbaz")] ''Foo
makeLensesFor [("_barX", "bar"), ("_barY", "bar")] ''Bar

makeClassy_ :: Name -> DecsQ #

Make lenses and traversals for a type, and create a class when the type has no arguments. Works the same as makeClassy except that (a) it expects that record field names do not begin with an underscore, (b) all record fields are made into lenses, and (c) the resulting lens is prefixed with an underscore.

makeClassy :: Name -> DecsQ #

Make lenses and traversals for a type, and create a class when the type has no arguments.

e.g.

data Foo = Foo { _fooX, _fooY :: Int }
makeClassy ''Foo

will create

class HasFoo t where
  foo :: Lens' t Foo
  fooX :: Lens' t Int
  fooX = foo . go where go f (Foo x y) = (\x' -> Foo x' y) <$> f x
  fooY :: Lens' t Int
  fooY = foo . go where go f (Foo x y) = (\y' -> Foo x y') <$> f y
instance HasFoo Foo where
  foo = id

makeClassy = makeLensesWith classyRules

makeLenses :: Name -> DecsQ #

Build lenses (and traversals) with a sensible default configuration.

e.g.

data FooBar
  = Foo { _x, _y :: Int }
  | Bar { _x :: Int }
makeLenses ''FooBar

will create

x :: Lens' FooBar Int
x f (Foo a b) = (\a' -> Foo a' b) <$> f a
x f (Bar a)   = Bar <$> f a
y :: Traversal' FooBar Int
y f (Foo a b) = (\b' -> Foo a  b') <$> f b
y _ c@(Bar _) = pure c

makeLenses = makeLensesWith lensRules

classyRules_ :: LensRules #

A LensRules used by makeClassy_.

classyRules :: LensRules #

Rules for making lenses and traversals that precompose another Lens.

mappingNamer #

Arguments

:: (String -> [String])	A function that maps a `fieldName` to `lensName`s.
-> FieldNamer

Create a FieldNamer from a mapping function. If the function returns [], it creates no lens for the field.

lookingupNamer :: [(String, String)] -> FieldNamer #

Create a FieldNamer from explicit pairings of (fieldName, lensName).

lensRulesFor #

Arguments

:: [(String, String)]	(Field Name, Definition Name)
-> LensRules

Construct a LensRules value for generating top-level definitions using the given map from field names to definition names.

underscoreNoPrefixNamer :: FieldNamer #

A FieldNamer that strips the _ off of the field name, lowercases the name, and skips the field if it doesn't start with an '_'.

lensRules :: LensRules #

Rules for making fairly simple partial lenses, ignoring the special cases for isomorphisms and traversals, and not making any classes. It uses underscoreNoPrefixNamer.

lensClass :: Lens' LensRules ClassyNamer #

Lens' to access the option for naming "classy" lenses.

lensField :: Lens' LensRules FieldNamer #

Lens' to access the convention for naming fields in our LensRules.

createClass :: Lens' LensRules Bool #

Create the class if the constructor is Simple and the lensClass rule matches.

generateLazyPatterns :: Lens' LensRules Bool #

Generate optics using lazy pattern matches. This can allow fields of an undefined value to be initialized with lenses:

data Foo = Foo {_x :: Int, _y :: Bool}
  deriving Show

makeLensesWith (lensRules & generateLazyPatterns .~ True) ''Foo

> undefined & x .~ 8 & y .~ True
Foo {_x = 8, _y = True}

The downside of this flag is that it can lead to space-leaks and code-size/compile-time increases when generated for large records. By default this flag is turned off, and strict optics are generated.

When using lazy optics the strict optic can be recovered by composing with $!:

strictOptic = ($!) . lazyOptic

generateUpdateableOptics :: Lens' LensRules Bool #

Generate "updateable" optics when True. When False, Folds will be generated instead of Traversals and Getters will be generated instead of Lenses. This mode is intended to be used for types with invariants which must be maintained by "smart" constructors.

generateSignatures :: Lens' LensRules Bool #

Indicate whether or not to supply the signatures for the generated lenses.

Disabling this can be useful if you want to provide a more restricted type signature or if you want to supply hand-written haddocks.

simpleLenses :: Lens' LensRules Bool #

Generate "simple" optics even when type-changing optics are possible. (e.g. Lens' instead of Lens)

data LensRules #

Rules to construct lenses for data fields.

type FieldNamer #

Arguments

= Name	Name of the data type that lenses are being generated for.
-> [Name]	Names of all fields (including the field being named) in the data type.
-> Name	Name of the field being named.
-> [DefName]	Name(s) of the lens functions. If empty, no lens is created for that field.

The rule to create function names of lenses for data fields.

Although it's sometimes useful, you won't need the first two arguments most of the time.

data DefName #

Name to give to generated field optics.

Constructors

TopName Name	Simple top-level definiton name
MethodName Name Name	makeFields-style class name and method name

Instances

Eq DefName
Instance details Defined in Control.Lens.Internal.FieldTH Methods (==) :: DefName -> DefName -> Bool # (/=) :: DefName -> DefName -> Bool #
Ord DefName
Instance details Defined in Control.Lens.Internal.FieldTH Methods compare :: DefName -> DefName -> Ordering # (<) :: DefName -> DefName -> Bool # (<=) :: DefName -> DefName -> Bool # (>) :: DefName -> DefName -> Bool # (>=) :: DefName -> DefName -> Bool # max :: DefName -> DefName -> DefName # min :: DefName -> DefName -> DefName #
Show DefName
Instance details Defined in Control.Lens.Internal.FieldTH Methods showsPrec :: Int -> DefName -> ShowS # show :: DefName -> String # showList :: [DefName] -> ShowS #

type ClassyNamer #

Arguments

= Name	Name of the data type that lenses are being generated for.
-> Maybe (Name, Name)	Names of the class and the main method it generates, respectively.

The optional rule to create a class and method around a monomorphic data type. If this naming convention is provided, it generates a "classy" lens.

makeClassyPrisms #

Arguments

:: Name	Type constructor name
-> DecsQ

Generate a Prism for each constructor of a data type and combine them into a single class. No Isos are created. Reviews are created for constructors with existentially quantified constructors and GADTs.

e.g.

data FooBarBaz a
  = Foo Int
  | Bar a
  | Baz Int Char
makeClassyPrisms ''FooBarBaz

will create

class AsFooBarBaz s a | s -> a where
  _FooBarBaz :: Prism' s (FooBarBaz a)
  _Foo :: Prism' s Int
  _Bar :: Prism' s a
  _Baz :: Prism' s (Int,Char)

  _Foo = _FooBarBaz . _Foo
  _Bar = _FooBarBaz . _Bar
  _Baz = _FooBarBaz . _Baz

instance AsFooBarBaz (FooBarBaz a) a

Generate an As class of prisms. Names are selected by prefixing the constructor name with an underscore. Constructors with multiple fields will construct Prisms to tuples of those fields.

makePrisms #

Arguments

:: Name	Type constructor name
-> DecsQ

Generate a Prism for each constructor of a data type. Isos generated when possible. Reviews are created for constructors with existentially quantified constructors and GADTs.

e.g.

data FooBarBaz a
  = Foo Int
  | Bar a
  | Baz Int Char
makePrisms ''FooBarBaz

will create

_Foo :: Prism' (FooBarBaz a) Int
_Bar :: Prism (FooBarBaz a) (FooBarBaz b) a b
_Baz :: Prism' (FooBarBaz a) (Int, Char)

(...) :: (Applicative f, Plated c) => LensLike f s t c c -> Over p f c c a b -> Over p f s t a b infixr 9 #

Compose through a plate

(|>) :: Snoc s s a a => s -> a -> s infixl 5 #

snoc an element onto the end of a container.

This is an infix alias for snoc.

>>> Seq.fromList [] |> a
fromList [a]

>>> Seq.fromList [b, c] |> a
fromList [b,c,a]

>>> LazyT.pack "hello" |> '!'
"hello!"

(<|) :: Cons s s a a => a -> s -> s infixr 5 #

cons an element onto a container.

This is an infix alias for cons.

>>> a <| []
[a]

>>> a <| [b, c]
[a,b,c]

>>> a <| Seq.fromList []
fromList [a]

>>> a <| Seq.fromList [b, c]
fromList [a,b,c]

(<.>) :: Indexable (i, j) p => (Indexed i s t -> r) -> (Indexed j a b -> s -> t) -> p a b -> r infixr 9 #

Composition of Indexed functions.

Mnemonically, the < and > points to the fact that we want to preserve the indices.

>>> let nestedMap = (fmap Map.fromList . Map.fromList) [(1, [(10, "one,ten"), (20, "one,twenty")]), (2, [(30, "two,thirty"), (40,"two,forty")])]
>>> nestedMap^..(itraversed<.>itraversed).withIndex
[((1,10),"one,ten"),((1,20),"one,twenty"),((2,30),"two,thirty"),((2,40),"two,forty")]

(.>) :: (st -> r) -> (kab -> st) -> kab -> r infixr 9 #

Compose a non-indexed function with an Indexed function.

Mnemonically, the > points to the indexing we want to preserve.

This is the same as (.).

f . g (and f .> g) gives you the index of g unless g is index-preserving, like a Prism, Iso or Equality, in which case it'll pass through the index of f.

>>> let nestedMap = (fmap Map.fromList . Map.fromList) [(1, [(10, "one,ten"), (20, "one,twenty")]), (2, [(30, "two,thirty"), (40,"two,forty")])]
>>> nestedMap^..(itraversed.>itraversed).withIndex
[(10,"one,ten"),(20,"one,twenty"),(30,"two,thirty"),(40,"two,forty")]

(<.) :: Indexable i p => (Indexed i s t -> r) -> ((a -> b) -> s -> t) -> p a b -> r infixr 9 #

Compose an Indexed function with a non-indexed function.

Mnemonically, the < points to the indexing we want to preserve.

>>> let nestedMap = (fmap Map.fromList . Map.fromList) [(1, [(10, "one,ten"), (20, "one,twenty")]), (2, [(30, "two,thirty"), (40,"two,forty")])]
>>> nestedMap^..(itraversed<.itraversed).withIndex
[(1,"one,ten"),(1,"one,twenty"),(2,"two,thirty"),(2,"two,forty")]

(^@?!) :: HasCallStack => s -> IndexedGetting i (Endo (i, a)) s a -> (i, a) infixl 8 #

Perform an *UNSAFE* head (with index) of an IndexedFold or IndexedTraversal assuming that it is there.

(^@?!) :: s -> IndexedGetter i s a     -> (i, a)
(^@?!) :: s -> IndexedFold i s a       -> (i, a)
(^@?!) :: s -> IndexedLens' i s a      -> (i, a)
(^@?!) :: s -> IndexedTraversal' i s a -> (i, a)

(^@?) :: s -> IndexedGetting i (Endo (Maybe (i, a))) s a -> Maybe (i, a) infixl 8 #

Perform a safe head (with index) of an IndexedFold or IndexedTraversal or retrieve Just the index and result from an IndexedGetter or IndexedLens.

When using a IndexedTraversal as a partial IndexedLens, or an IndexedFold as a partial IndexedGetter this can be a convenient way to extract the optional value.

(^@?) :: s -> IndexedGetter i s a     -> Maybe (i, a)
(^@?) :: s -> IndexedFold i s a       -> Maybe (i, a)
(^@?) :: s -> IndexedLens' i s a      -> Maybe (i, a)
(^@?) :: s -> IndexedTraversal' i s a -> Maybe (i, a)

(^@..) :: s -> IndexedGetting i (Endo [(i, a)]) s a -> [(i, a)] infixl 8 #

An infix version of itoListOf.

(^?!) :: HasCallStack => s -> Getting (Endo a) s a -> a infixl 8 #

Perform an *UNSAFE* head of a Fold or Traversal assuming that it is there.

>>> Left 4 ^?! _Left
4

>>> "world" ^?! ix 3
'l'

(^?!) :: s -> Getter s a     -> a
(^?!) :: s -> Fold s a       -> a
(^?!) :: s -> Lens' s a      -> a
(^?!) :: s -> Iso' s a       -> a
(^?!) :: s -> Traversal' s a -> a

(^?) :: s -> Getting (First a) s a -> Maybe a infixl 8 #

Perform a safe head of a Fold or Traversal or retrieve Just the result from a Getter or Lens.

When using a Traversal as a partial Lens, or a Fold as a partial Getter this can be a convenient way to extract the optional value.

Note: if you get stack overflows due to this, you may want to use firstOf instead, which can deal more gracefully with heavily left-biased trees.

>>> Left 4 ^?_Left
Just 4

>>> Right 4 ^?_Left
Nothing

>>> "world" ^? ix 3
Just 'l'

>>> "world" ^? ix 20
Nothing

(^?) ≡ flip preview

(^?) :: s -> Getter s a     -> Maybe a
(^?) :: s -> Fold s a       -> Maybe a
(^?) :: s -> Lens' s a      -> Maybe a
(^?) :: s -> Iso' s a       -> Maybe a
(^?) :: s -> Traversal' s a -> Maybe a

(^..) :: s -> Getting (Endo [a]) s a -> [a] infixl 8 #

A convenient infix (flipped) version of toListOf.

>>> [[1,2],[3]]^..id
[[[1,2],[3]]]
>>> [[1,2],[3]]^..traverse
[[1,2],[3]]
>>> [[1,2],[3]]^..traverse.traverse
[1,2,3]

>>> (1,2)^..both
[1,2]

toList xs ≡ xs ^.. folded
(^..) ≡ flip toListOf

(^..) :: s -> Getter s a     -> a :: s -> Fold s a       -> a :: s -> Lens' s a      -> a :: s -> Iso' s a       -> a :: s -> Traversal' s a -> a :: s -> Prism' s a     -> [a]

(#) :: AReview t b -> b -> t infixr 8 #

An infix alias for review.

unto f # x ≡ f x
l # x ≡ x ^. re l

This is commonly used when using a Prism as a smart constructor.

>>> _Left # 4
Left 4

But it can be used for any Prism

>>> base 16 # 123
"7b"

(#) :: Iso'      s a -> a -> s
(#) :: Prism'    s a -> a -> s
(#) :: Review    s a -> a -> s
(#) :: Equality' s a -> a -> s

(^@.) :: s -> IndexedGetting i (i, a) s a -> (i, a) infixl 8 #

View the index and value of an IndexedGetter or IndexedLens.

This is the same operation as iview with the arguments flipped.

The fixity and semantics are such that subsequent field accesses can be performed with (.).

(^@.) :: s -> IndexedGetter i s a -> (i, a)
(^@.) :: s -> IndexedLens' i s a  -> (i, a)

The result probably doesn't have much meaning when applied to an IndexedFold.

(^.) :: s -> Getting a s a -> a infixl 8 #

View the value pointed to by a Getter or Lens or the result of folding over all the results of a Fold or Traversal that points at a monoidal values.

This is the same operation as view with the arguments flipped.

The fixity and semantics are such that subsequent field accesses can be performed with (.).

>>> (a,b)^._2
b

>>> ("hello","world")^._2
"world"

>>> import Data.Complex
>>> ((0, 1 :+ 2), 3)^._1._2.to magnitude
2.23606797749979

(^.) ::             s -> Getter s a     -> a
(^.) :: Monoid m => s -> Fold s m       -> m
(^.) ::             s -> Iso' s a       -> a
(^.) ::             s -> Lens' s a      -> a
(^.) :: Monoid m => s -> Traversal' s m -> m

view :: MonadReader s m => Getting a s a -> m a #

View the value pointed to by a Getter, Iso or Lens or the result of folding over all the results of a Fold or Traversal that points at a monoidal value.

view . to ≡ id

>>> view (to f) a
f a

>>> view _2 (1,"hello")
"hello"

>>> view (to succ) 5
6

>>> view (_2._1) ("hello",("world","!!!"))
"world"

As view is commonly used to access the target of a Getter or obtain a monoidal summary of the targets of a Fold, It may be useful to think of it as having one of these more restricted signatures:

view ::             Getter s a     -> s -> a
view :: Monoid m => Fold s m       -> s -> m
view ::             Iso' s a       -> s -> a
view ::             Lens' s a      -> s -> a
view :: Monoid m => Traversal' s m -> s -> m

In a more general setting, such as when working with a Monad transformer stack you can use:

view :: MonadReader s m             => Getter s a     -> m a
view :: (MonadReader s m, Monoid a) => Fold s a       -> m a
view :: MonadReader s m             => Iso' s a       -> m a
view :: MonadReader s m             => Lens' s a      -> m a
view :: (MonadReader s m, Monoid a) => Traversal' s a -> m a

(<#=) :: MonadState s m => ALens s s a b -> b -> m b infix 4 #

A version of (<.=) that works on ALens.

(<#~) :: ALens s t a b -> b -> s -> (b, t) infixr 4 #

A version of (<.~) that works on ALens.

>>> ("hello","there") & _2 <#~ "world"
("world",("hello","world"))

(#%%=) :: MonadState s m => ALens s s a b -> (a -> (r, b)) -> m r infix 4 #

A version of (%%=) that works on ALens.

(<#%=) :: MonadState s m => ALens s s a b -> (a -> b) -> m b infix 4 #

A version of (<%=) that works on ALens.

(<#%~) :: ALens s t a b -> (a -> b) -> s -> (b, t) infixr 4 #

A version of (<%~) that works on ALens.

>>> ("hello","world") & _2 <#%~ length
(5,("hello",5))

(#%=) :: MonadState s m => ALens s s a b -> (a -> b) -> m () infix 4 #

A version of (%=) that works on ALens.

(#=) :: MonadState s m => ALens s s a b -> b -> m () infix 4 #

A version of (.=) that works on ALens.

(#%%~) :: Functor f => ALens s t a b -> (a -> f b) -> s -> f t infixr 4 #

A version of (%%~) that works on ALens.

>>> ("hello","world") & _2 #%%~ \x -> (length x, x ++ "!")
(5,("hello","world!"))

(#%~) :: ALens s t a b -> (a -> b) -> s -> t infixr 4 #

A version of (%~) that works on ALens.

>>> ("hello","world") & _2 #%~ length
("hello",5)

(#~) :: ALens s t a b -> b -> s -> t infixr 4 #

A version of (.~) that works on ALens.

>>> ("hello","there") & _2 #~ "world"
("hello","world")

(^#) :: s -> ALens s t a b -> a infixl 8 #

A version of (^.) that works on ALens.

>>> ("hello","world")^#_2
"world"

(<<%@=) :: MonadState s m => Over (Indexed i) ((,) a) s s a b -> (i -> a -> b) -> m a infix 4 #

Adjust the target of an IndexedLens returning the old value, or adjust all of the targets of an IndexedTraversal within the current state, and return a monoidal summary of the old values.

(<<%@=) :: MonadState s m                 => IndexedLens i s s a b      -> (i -> a -> b) -> m a
(<<%@=) :: (MonadState s m, Monoid b) => IndexedTraversal i s s a b -> (i -> a -> b) -> m a

(<%@=) :: MonadState s m => Over (Indexed i) ((,) b) s s a b -> (i -> a -> b) -> m b infix 4 #

Adjust the target of an IndexedLens returning the intermediate result, or adjust all of the targets of an IndexedTraversal within the current state, and return a monoidal summary of the intermediate results.

(<%@=) :: MonadState s m                 => IndexedLens i s s a b      -> (i -> a -> b) -> m b
(<%@=) :: (MonadState s m, Monoid b) => IndexedTraversal i s s a b -> (i -> a -> b) -> m b

(%%@=) :: MonadState s m => Over (Indexed i) ((,) r) s s a b -> (i -> a -> (r, b)) -> m r infix 4 #

Adjust the target of an IndexedLens returning a supplementary result, or adjust all of the targets of an IndexedTraversal within the current state, and return a monoidal summary of the supplementary results.

l %%@= f ≡ state (l %%@~ f)

(%%@=) :: MonadState s m                 => IndexedLens i s s a b      -> (i -> a -> (r, b)) -> s -> m r
(%%@=) :: (MonadState s m, Monoid r) => IndexedTraversal i s s a b -> (i -> a -> (r, b)) -> s -> m r

(%%@~) :: Over (Indexed i) f s t a b -> (i -> a -> f b) -> s -> f t infixr 4 #

Adjust the target of an IndexedLens returning a supplementary result, or adjust all of the targets of an IndexedTraversal and return a monoidal summary of the supplementary results and the answer.

(%%@~) ≡ withIndex

(%%@~) :: Functor f => IndexedLens i s t a b      -> (i -> a -> f b) -> s -> f t
(%%@~) :: Applicative f => IndexedTraversal i s t a b -> (i -> a -> f b) -> s -> f t

In particular, it is often useful to think of this function as having one of these even more restricted type signatures:

(%%@~) ::             IndexedLens i s t a b      -> (i -> a -> (r, b)) -> s -> (r, t)
(%%@~) :: Monoid r => IndexedTraversal i s t a b -> (i -> a -> (r, b)) -> s -> (r, t)

(<<%@~) :: Over (Indexed i) ((,) a) s t a b -> (i -> a -> b) -> s -> (a, t) infixr 4 #

Adjust the target of an IndexedLens returning the old value, or adjust all of the targets of an IndexedTraversal and return a monoidal summary of the old values along with the answer.

(<<%@~) ::             IndexedLens i s t a b      -> (i -> a -> b) -> s -> (a, t)
(<<%@~) :: Monoid a => IndexedTraversal i s t a b -> (i -> a -> b) -> s -> (a, t)

(<%@~) :: Over (Indexed i) ((,) b) s t a b -> (i -> a -> b) -> s -> (b, t) infixr 4 #

Adjust the target of an IndexedLens returning the intermediate result, or adjust all of the targets of an IndexedTraversal and return a monoidal summary along with the answer.

l <%~ f ≡ l <%@~ const f

When you do not need access to the index then (<%~) is more liberal in what it can accept.

If you do not need the intermediate result, you can use (%@~) or even (%~).

(<%@~) ::             IndexedLens i s t a b      -> (i -> a -> b) -> s -> (b, t)
(<%@~) :: Monoid b => IndexedTraversal i s t a b -> (i -> a -> b) -> s -> (b, t)

(<<>=) :: (MonadState s m, Monoid r) => LensLike' ((,) r) s r -> r -> m r infix 4 #

mappend a monoidal value onto the end of the target of a Lens into your Monad's state and return the result.

When you do not need the result of the operation, (<>=) is more flexible.

(<<>~) :: Monoid m => LensLike ((,) m) s t m m -> m -> s -> (m, t) infixr 4 #

mappend a monoidal value onto the end of the target of a Lens and return the result.

When you do not need the result of the operation, (<>~) is more flexible.

(<<~) :: MonadState s m => ALens s s a b -> m b -> m b infixr 2 #

Run a monadic action, and set the target of Lens to its result.

(<<~) :: MonadState s m => Iso s s a b   -> m b -> m b
(<<~) :: MonadState s m => Lens s s a b  -> m b -> m b

NB: This is limited to taking an actual Lens than admitting a Traversal because there are potential loss of state issues otherwise.

(<<<>=) :: (MonadState s m, Monoid r) => LensLike' ((,) r) s r -> r -> m r infix 4 #

Modify the target of a Lens into your Monad's state by mappending a value and return the old value that was replaced.

When you do not need the result of the operation, (<>=) is more flexible.

(<<<>=) :: (MonadState s m, Monoid r) => Lens' s r -> r -> m r
(<<<>=) :: (MonadState s m, Monoid r) => Iso' s r -> r -> m r

(<<&&=) :: MonadState s m => LensLike' ((,) Bool) s Bool -> Bool -> m Bool infix 4 #

Modify the target of a Lens into your Monad's state by taking its logical && with a value and return the old value that was replaced.

When you do not need the result of the operation, (&&=) is more flexible.

(<<&&=) :: MonadState s m => Lens' s Bool -> Bool -> m Bool
(<<&&=) :: MonadState s m => Iso' s Bool -> Bool -> m Bool

(<<||=) :: MonadState s m => LensLike' ((,) Bool) s Bool -> Bool -> m Bool infix 4 #

Modify the target of a Lens into your Monad's state by taking its logical || with a value and return the old value that was replaced.

When you do not need the result of the operation, (||=) is more flexible.

(<<||=) :: MonadState s m => Lens' s Bool -> Bool -> m Bool
(<<||=) :: MonadState s m => Iso' s Bool -> Bool -> m Bool

(<<**=) :: (MonadState s m, Floating a) => LensLike' ((,) a) s a -> a -> m a infix 4 #

Modify the target of a Lens into your Monad's state by raising it by an arbitrary power and return the old value that was replaced.

When you do not need the result of the operation, (**=) is more flexible.

(<<**=) :: (MonadState s m, Floating a) => Lens' s a -> a -> m a
(<<**=) :: (MonadState s m, Floating a) => Iso' s a -> a -> m a

(<<^^=) :: (MonadState s m, Fractional a, Integral e) => LensLike' ((,) a) s a -> e -> m a infix 4 #

Modify the target of a Lens into your Monad's state by raising it by an integral power and return the old value that was replaced.

When you do not need the result of the operation, (^^=) is more flexible.

(<<^^=) :: (MonadState s m, Fractional a, Integral e) => Lens' s a -> e -> m a
(<<^^=) :: (MonadState s m, Fractional a, Integral e) => Iso' s a -> e -> m a

(<<^=) :: (MonadState s m, Num a, Integral e) => LensLike' ((,) a) s a -> e -> m a infix 4 #

Modify the target of a Lens into your Monad's state by raising it by a non-negative power and return the old value that was replaced.

When you do not need the result of the operation, (^=) is more flexible.

(<<^=) :: (MonadState s m, Num a, Integral e) => Lens' s a -> e -> m a
(<<^=) :: (MonadState s m, Num a, Integral e) => Iso' s a -> a -> m a

(<<//=) :: (MonadState s m, Fractional a) => LensLike' ((,) a) s a -> a -> m a infix 4 #

Modify the target of a Lens into your Monads state by dividing by a value and return the old value that was replaced.

When you do not need the result of the operation, (//=) is more flexible.

(<<//=) :: (MonadState s m, Fractional a) => Lens' s a -> a -> m a
(<<//=) :: (MonadState s m, Fractional a) => Iso' s a -> a -> m a

(<<*=) :: (MonadState s m, Num a) => LensLike' ((,) a) s a -> a -> m a infix 4 #

Modify the target of a Lens into your Monad's state by multipling a value and return the old value that was replaced.

When you do not need the result of the operation, (*=) is more flexible.

(<<*=) :: (MonadState s m, Num a) => Lens' s a -> a -> m a
(<<*=) :: (MonadState s m, Num a) => Iso' s a -> a -> m a

(<<-=) :: (MonadState s m, Num a) => LensLike' ((,) a) s a -> a -> m a infix 4 #

Modify the target of a Lens into your Monad's state by subtracting a value and return the old value that was replaced.

When you do not need the result of the operation, (-=) is more flexible.

(<<-=) :: (MonadState s m, Num a) => Lens' s a -> a -> m a
(<<-=) :: (MonadState s m, Num a) => Iso' s a -> a -> m a

(<<+=) :: (MonadState s m, Num a) => LensLike' ((,) a) s a -> a -> m a infix 4 #

Modify the target of a Lens into your Monad's state by adding a value and return the old value that was replaced.

When you do not need the result of the operation, (+=) is more flexible.

(<<+=) :: (MonadState s m, Num a) => Lens' s a -> a -> m a
(<<+=) :: (MonadState s m, Num a) => Iso' s a -> a -> m a

(<<?=) :: MonadState s m => LensLike ((,) a) s s a (Maybe b) -> b -> m a infix 4 #

Replace the target of a Lens into your Monad's state with Just a user supplied value and return the old value that was replaced.

When applied to a Traversal, this will return a monoidal summary of all of the old values present.

When you do not need the result of the operation, (?=) is more flexible.

(<<?=) :: MonadState s m             => Lens s t a (Maybe b)      -> b -> m a
(<<?=) :: MonadState s m             => Iso s t a (Maybe b)       -> b -> m a
(<<?=) :: (MonadState s m, Monoid a) => Traversal s t a (Maybe b) -> b -> m a

(<<.=) :: MonadState s m => LensLike ((,) a) s s a b -> b -> m a infix 4 #

Replace the target of a Lens into your Monad's state with a user supplied value and return the old value that was replaced.

When applied to a Traversal, this will return a monoidal summary of all of the old values present.

When you do not need the result of the operation, (.=) is more flexible.

(<<.=) :: MonadState s m             => Lens' s a      -> a -> m a
(<<.=) :: MonadState s m             => Iso' s a       -> a -> m a
(<<.=) :: (MonadState s m, Monoid a) => Traversal' s a -> a -> m a

(<<%=) :: (Strong p, MonadState s m) => Over p ((,) a) s s a b -> p a b -> m a infix 4 #

Modify the target of a Lens into your Monad's state by a user supplied function and return the old value that was replaced.

When applied to a Traversal, this will return a monoidal summary of all of the old values present.

When you do not need the result of the operation, (%=) is more flexible.

(<<%=) :: MonadState s m             => Lens' s a      -> (a -> a) -> m a
(<<%=) :: MonadState s m             => Iso' s a       -> (a -> a) -> m a
(<<%=) :: (MonadState s m, Monoid a) => Traversal' s a -> (a -> a) -> m a

(<<%=) :: MonadState s m => LensLike ((,)a) s s a b -> (a -> b) -> m a

(<&&=) :: MonadState s m => LensLike' ((,) Bool) s Bool -> Bool -> m Bool infix 4 #

Logically && a Boolean valued Lens into your Monad's state and return the result.

When you do not need the result of the operation, (&&=) is more flexible.

(<&&=) :: MonadState s m => Lens' s Bool -> Bool -> m Bool
(<&&=) :: MonadState s m => Iso' s Bool  -> Bool -> m Bool

(<||=) :: MonadState s m => LensLike' ((,) Bool) s Bool -> Bool -> m Bool infix 4 #

Logically || a Boolean valued Lens into your Monad's state and return the result.

When you do not need the result of the operation, (||=) is more flexible.

(<||=) :: MonadState s m => Lens' s Bool -> Bool -> m Bool
(<||=) :: MonadState s m => Iso' s Bool  -> Bool -> m Bool

(<**=) :: (MonadState s m, Floating a) => LensLike' ((,) a) s a -> a -> m a infix 4 #

Raise the target of a floating-point valued Lens into your Monad's state to an arbitrary power and return the result.

When you do not need the result of the operation, (**=) is more flexible.

(<**=) :: (MonadState s m, Floating a) => Lens' s a -> a -> m a
(<**=) :: (MonadState s m, Floating a) => Iso' s a -> a -> m a

(<^^=) :: (MonadState s m, Fractional a, Integral e) => LensLike' ((,) a) s a -> e -> m a infix 4 #

Raise the target of a fractionally valued Lens into your Monad's state to an Integral power and return the result.

When you do not need the result of the operation, (^^=) is more flexible.

(<^^=) :: (MonadState s m, Fractional b, Integral e) => Lens' s a -> e -> m a
(<^^=) :: (MonadState s m, Fractional b, Integral e) => Iso' s a  -> e -> m a

(<^=) :: (MonadState s m, Num a, Integral e) => LensLike' ((,) a) s a -> e -> m a infix 4 #

Raise the target of a numerically valued Lens into your Monad's state to a non-negative Integral power and return the result.

When you do not need the result of the operation, (^=) is more flexible.

(<^=) :: (MonadState s m, Num a, Integral e) => Lens' s a -> e -> m a
(<^=) :: (MonadState s m, Num a, Integral e) => Iso' s a -> e -> m a

(<//=) :: (MonadState s m, Fractional a) => LensLike' ((,) a) s a -> a -> m a infix 4 #

Divide the target of a fractionally valued Lens into your Monad's state and return the result.

When you do not need the result of the division, (//=) is more flexible.

(<//=) :: (MonadState s m, Fractional a) => Lens' s a -> a -> m a
(<//=) :: (MonadState s m, Fractional a) => Iso' s a -> a -> m a

(<*=) :: (MonadState s m, Num a) => LensLike' ((,) a) s a -> a -> m a infix 4 #

Multiply the target of a numerically valued Lens into your Monad's state and return the result.

When you do not need the result of the multiplication, (*=) is more flexible.

(<*=) :: (MonadState s m, Num a) => Lens' s a -> a -> m a
(<*=) :: (MonadState s m, Num a) => Iso' s a -> a -> m a

(<-=) :: (MonadState s m, Num a) => LensLike' ((,) a) s a -> a -> m a infix 4 #

Subtract from the target of a numerically valued Lens into your Monad's state and return the result.

When you do not need the result of the subtraction, (-=) is more flexible.

(<-=) :: (MonadState s m, Num a) => Lens' s a -> a -> m a
(<-=) :: (MonadState s m, Num a) => Iso' s a -> a -> m a

(<+=) :: (MonadState s m, Num a) => LensLike' ((,) a) s a -> a -> m a infix 4 #

Add to the target of a numerically valued Lens into your Monad's state and return the result.

When you do not need the result of the addition, (+=) is more flexible.

(<+=) :: (MonadState s m, Num a) => Lens' s a -> a -> m a
(<+=) :: (MonadState s m, Num a) => Iso' s a -> a -> m a

(<%=) :: MonadState s m => LensLike ((,) b) s s a b -> (a -> b) -> m b infix 4 #

Modify the target of a Lens into your Monad's state by a user supplied function and return the result.

When applied to a Traversal, it this will return a monoidal summary of all of the intermediate results.

When you do not need the result of the operation, (%=) is more flexible.

(<%=) :: MonadState s m             => Lens' s a      -> (a -> a) -> m a
(<%=) :: MonadState s m             => Iso' s a       -> (a -> a) -> m a
(<%=) :: (MonadState s m, Monoid a) => Traversal' s a -> (a -> a) -> m a

(<<<>~) :: Monoid r => LensLike' ((,) r) s r -> r -> s -> (r, s) infixr 4 #

Modify the target of a monoidally valued Lens by mappending a new value and return the old value.

When you do not need the old value, (<>~) is more flexible.

>>> (Sum a,b) & _1 <<<>~ Sum c
(Sum {getSum = a},(Sum {getSum = a + c},b))

>>> _2 <<<>~ ", 007" $ ("James", "Bond")
("Bond",("James","Bond, 007"))

(<<<>~) :: Monoid r => Lens' s r -> r -> s -> (r, s)
(<<<>~) :: Monoid r => Iso' s r -> r -> s -> (r, s)

(<<&&~) :: LensLike' ((,) Bool) s Bool -> Bool -> s -> (Bool, s) infixr 4 #

Logically && the target of a Bool-valued Lens and return the old value.

When you do not need the old value, (&&~) is more flexible.

>>> (False,6) & _1 <<&&~ True
(False,(False,6))

>>> ("hello",True) & _2 <<&&~ False
(True,("hello",False))

(<<&&~) :: Lens' s Bool -> Bool -> s -> (Bool, s)
(<<&&~) :: Iso' s Bool -> Bool -> s -> (Bool, s)

(<<||~) :: LensLike' ((,) Bool) s Bool -> Bool -> s -> (Bool, s) infixr 4 #

Logically || the target of a Bool-valued Lens and return the old value.

When you do not need the old value, (||~) is more flexible.

>>> (False,6) & _1 <<||~ True
(False,(True,6))

>>> ("hello",True) & _2 <<||~ False
(True,("hello",True))

(<<||~) :: Lens' s Bool -> Bool -> s -> (Bool, s)
(<<||~) :: Iso' s Bool -> Bool -> s -> (Bool, s)

(<<**~) :: Floating a => LensLike' ((,) a) s a -> a -> s -> (a, s) infixr 4 #

Raise the target of a floating-point valued Lens to an arbitrary power and return the old value.

When you do not need the old value, (**~) is more flexible.

>>> (a,b) & _1 <<**~ c
(a,(a**c,b))

>>> (a,b) & _2 <<**~ c
(b,(a,b**c))

(<<**~) :: Floating a => Lens' s a -> a -> s -> (a, s)
(<<**~) :: Floating a => Iso' s a -> a -> s -> (a, s)

(<<^^~) :: (Fractional a, Integral e) => LensLike' ((,) a) s a -> e -> s -> (a, s) infixr 4 #

Raise the target of a fractionally valued Lens to an integral power and return the old value.

When you do not need the old value, (^^~) is more flexible.

(<<^^~) :: (Fractional a, Integral e) => Lens' s a -> e -> s -> (a, s)
(<<^^~) :: (Fractional a, Integral e) => Iso' s a -> e -> S -> (a, s)

(<<^~) :: (Num a, Integral e) => LensLike' ((,) a) s a -> e -> s -> (a, s) infixr 4 #

Raise the target of a numerically valued Lens to a non-negative power and return the old value.

When you do not need the old value, (^~) is more flexible.

(<<^~) :: (Num a, Integral e) => Lens' s a -> e -> s -> (a, s)
(<<^~) :: (Num a, Integral e) => Iso' s a -> e -> s -> (a, s)

(<<//~) :: Fractional a => LensLike' ((,) a) s a -> a -> s -> (a, s) infixr 4 #

Divide the target of a numerically valued Lens and return the old value.

When you do not need the old value, (//~) is more flexible.

>>> (a,b) & _1 <<//~ c
(a,(a / c,b))

>>> ("Hawaii",10) & _2 <<//~ 2
(10.0,("Hawaii",5.0))

(<<//~) :: Fractional a => Lens' s a -> a -> s -> (a, s)
(<<//~) :: Fractional a => Iso' s a -> a -> s -> (a, s)

(<<*~) :: Num a => LensLike' ((,) a) s a -> a -> s -> (a, s) infixr 4 #

Multiply the target of a numerically valued Lens and return the old value.

When you do not need the old value, (-~) is more flexible.

>>> (a,b) & _1 <<*~ c
(a,(a * c,b))

>>> (a,b) & _2 <<*~ c
(b,(a,b * c))

(<<*~) :: Num a => Lens' s a -> a -> s -> (a, s)
(<<*~) :: Num a => Iso' s a -> a -> s -> (a, s)

(<<-~) :: Num a => LensLike' ((,) a) s a -> a -> s -> (a, s) infixr 4 #

Decrement the target of a numerically valued Lens and return the old value.

When you do not need the old value, (-~) is more flexible.

>>> (a,b) & _1 <<-~ c
(a,(a - c,b))

>>> (a,b) & _2 <<-~ c
(b,(a,b - c))

(<<-~) :: Num a => Lens' s a -> a -> s -> (a, s)
(<<-~) :: Num a => Iso' s a -> a -> s -> (a, s)

(<<+~) :: Num a => LensLike' ((,) a) s a -> a -> s -> (a, s) infixr 4 #

Increment the target of a numerically valued Lens and return the old value.

When you do not need the old value, (+~) is more flexible.

>>> (a,b) & _1 <<+~ c
(a,(a + c,b))

>>> (a,b) & _2 <<+~ c
(b,(a,b + c))

(<<+~) :: Num a => Lens' s a -> a -> s -> (a, s)
(<<+~) :: Num a => Iso' s a -> a -> s -> (a, s)

(<<?~) :: LensLike ((,) a) s t a (Maybe b) -> b -> s -> (a, t) infixr 4 #

Replace the target of a Lens with a Just value, but return the old value.

If you do not need the old value (?~) is more flexible.

>>> import Data.Map as Map
>>> _2.at "hello" <<?~ "world" $ (42,Map.fromList [("goodnight","gracie")])
(Nothing,(42,fromList [("goodnight","gracie"),("hello","world")]))

(<<?~) :: Iso s t a (Maybe b)       -> b -> s -> (a, t)
(<<?~) :: Lens s t a (Maybe b)      -> b -> s -> (a, t)
(<<?~) :: Traversal s t a (Maybe b) -> b -> s -> (a, t)

(<<.~) :: LensLike ((,) a) s t a b -> b -> s -> (a, t) infixr 4 #

Replace the target of a Lens, but return the old value.

When you do not need the old value, (.~) is more flexible.

(<<.~) ::             Lens s t a b      -> b -> s -> (a, t)
(<<.~) ::             Iso s t a b       -> b -> s -> (a, t)
(<<.~) :: Monoid a => Traversal s t a b -> b -> s -> (a, t)

(<<%~) :: LensLike ((,) a) s t a b -> (a -> b) -> s -> (a, t) infixr 4 #

Modify the target of a Lens, but return the old value.

When you do not need the old value, (%~) is more flexible.

(<<%~) ::             Lens s t a b      -> (a -> b) -> s -> (a, t)
(<<%~) ::             Iso s t a b       -> (a -> b) -> s -> (a, t)
(<<%~) :: Monoid a => Traversal s t a b -> (a -> b) -> s -> (a, t)

(<&&~) :: LensLike ((,) Bool) s t Bool Bool -> Bool -> s -> (Bool, t) infixr 4 #

Logically && a Boolean valued Lens and return the result.

When you do not need the result of the operation, (&&~) is more flexible.

(<&&~) :: Lens' s Bool -> Bool -> s -> (Bool, s)
(<&&~) :: Iso' s Bool  -> Bool -> s -> (Bool, s)

(<||~) :: LensLike ((,) Bool) s t Bool Bool -> Bool -> s -> (Bool, t) infixr 4 #

Logically || a Boolean valued Lens and return the result.

When you do not need the result of the operation, (||~) is more flexible.

(<||~) :: Lens' s Bool -> Bool -> s -> (Bool, s)
(<||~) :: Iso' s Bool  -> Bool -> s -> (Bool, s)

(<**~) :: Floating a => LensLike ((,) a) s t a a -> a -> s -> (a, t) infixr 4 #

Raise the target of a floating-point valued Lens to an arbitrary power and return the result.

When you do not need the result of the operation, (**~) is more flexible.

(<**~) :: Floating a => Lens' s a -> a -> s -> (a, s)
(<**~) :: Floating a => Iso' s a  -> a -> s -> (a, s)

(<^^~) :: (Fractional a, Integral e) => LensLike ((,) a) s t a a -> e -> s -> (a, t) infixr 4 #

Raise the target of a fractionally valued Lens to an Integral power and return the result.

When you do not need the result of the operation, (^^~) is more flexible.

(<^^~) :: (Fractional a, Integral e) => Lens' s a -> e -> s -> (a, s)
(<^^~) :: (Fractional a, Integral e) => Iso' s a -> e -> s -> (a, s)

(<^~) :: (Num a, Integral e) => LensLike ((,) a) s t a a -> e -> s -> (a, t) infixr 4 #

Raise the target of a numerically valued Lens to a non-negative Integral power and return the result.

When you do not need the result of the operation, (^~) is more flexible.

(<^~) :: (Num a, Integral e) => Lens' s a -> e -> s -> (a, s)
(<^~) :: (Num a, Integral e) => Iso' s a -> e -> s -> (a, s)

(<//~) :: Fractional a => LensLike ((,) a) s t a a -> a -> s -> (a, t) infixr 4 #

Divide the target of a fractionally valued Lens and return the result.

When you do not need the result of the division, (//~) is more flexible.

(<//~) :: Fractional a => Lens' s a -> a -> s -> (a, s)
(<//~) :: Fractional a => Iso'  s a -> a -> s -> (a, s)

(<*~) :: Num a => LensLike ((,) a) s t a a -> a -> s -> (a, t) infixr 4 #

Multiply the target of a numerically valued Lens and return the result.

When you do not need the result of the multiplication, (*~) is more flexible.

(<*~) :: Num a => Lens' s a -> a -> s -> (a, s)
(<*~) :: Num a => Iso'  s a -> a -> s -> (a, s)

(<-~) :: Num a => LensLike ((,) a) s t a a -> a -> s -> (a, t) infixr 4 #

Decrement the target of a numerically valued Lens and return the result.

When you do not need the result of the subtraction, (-~) is more flexible.

(<-~) :: Num a => Lens' s a -> a -> s -> (a, s)
(<-~) :: Num a => Iso' s a  -> a -> s -> (a, s)

(<+~) :: Num a => LensLike ((,) a) s t a a -> a -> s -> (a, t) infixr 4 #

Increment the target of a numerically valued Lens and return the result.

When you do not need the result of the addition, (+~) is more flexible.

(<+~) :: Num a => Lens' s a -> a -> s -> (a, s)
(<+~) :: Num a => Iso' s a  -> a -> s -> (a, s)

(<%~) :: LensLike ((,) b) s t a b -> (a -> b) -> s -> (b, t) infixr 4 #

Modify the target of a Lens and return the result.

When you do not need the result of the operation, (%~) is more flexible.

(<%~) ::             Lens s t a b      -> (a -> b) -> s -> (b, t)
(<%~) ::             Iso s t a b       -> (a -> b) -> s -> (b, t)
(<%~) :: Monoid b => Traversal s t a b -> (a -> b) -> s -> (b, t)

(??) :: Functor f => f (a -> b) -> a -> f b infixl 1 #

This is convenient to flip argument order of composite functions defined as:

fab ?? a = fmap ($ a) fab

For the Functor instance f = ((->) r) you can reason about this function as if the definition was (??) ≡ flip:

>>> (h ?? x) a
h a x

>>> execState ?? [] $ modify (1:)
[1]

>>> over _2 ?? ("hello","world") $ length
("hello",5)

>>> over ?? length ?? ("hello","world") $ _2
("hello",5)

(%%=) :: MonadState s m => Over p ((,) r) s s a b -> p a (r, b) -> m r infix 4 #

Modify the target of a Lens in the current state returning some extra information of type r or modify all targets of a Traversal in the current state, extracting extra information of type r and return a monoidal summary of the changes.

>>> runState (_1 %%= \x -> (f x, g x)) (a,b)
(f a,(g a,b))

(%%=) ≡ (state .)

It may be useful to think of (%%=), instead, as having either of the following more restricted type signatures:

(%%=) :: MonadState s m             => Iso s s a b       -> (a -> (r, b)) -> m r
(%%=) :: MonadState s m             => Lens s s a b      -> (a -> (r, b)) -> m r
(%%=) :: (MonadState s m, Monoid r) => Traversal s s a b -> (a -> (r, b)) -> m r

(%%~) :: LensLike f s t a b -> (a -> f b) -> s -> f t infixr 4 #

(%%~) can be used in one of two scenarios:

When applied to a Lens, it can edit the target of the Lens in a structure, extracting a functorial result.

When applied to a Traversal, it can edit the targets of the traversals, extracting an applicative summary of its actions.

>>> [66,97,116,109,97,110] & each %%~ \a -> ("na", chr a)
("nananananana","Batman")

For all that the definition of this combinator is just:

(%%~) ≡ id

It may be beneficial to think about it as if it had these even more restricted types, however:

(%%~) :: Functor f =>     Iso s t a b       -> (a -> f b) -> s -> f t
(%%~) :: Functor f =>     Lens s t a b      -> (a -> f b) -> s -> f t
(%%~) :: Applicative f => Traversal s t a b -> (a -> f b) -> s -> f t

When applied to a Traversal, it can edit the targets of the traversals, extracting a supplemental monoidal summary of its actions, by choosing f = ((,) m)

(%%~) ::             Iso s t a b       -> (a -> (r, b)) -> s -> (r, t)
(%%~) ::             Lens s t a b      -> (a -> (r, b)) -> s -> (r, t)
(%%~) :: Monoid m => Traversal s t a b -> (a -> (m, b)) -> s -> (m, t)

(&~) :: s -> State s a -> s infixl 1 #

This can be used to chain lens operations using op= syntax rather than op~ syntax for simple non-type-changing cases.

>>> (10,20) & _1 .~ 30 & _2 .~ 40
(30,40)

>>> (10,20) &~ do _1 .= 30; _2 .= 40
(30,40)

This does not support type-changing assignment, e.g.

>>> (10,20) & _1 .~ "hello"
("hello",20)

(.@=) :: MonadState s m => AnIndexedSetter i s s a b -> (i -> b) -> m () infix 4 #

Replace every target in the current state of an IndexedSetter, IndexedLens or IndexedTraversal with access to the index.

When you do not need access to the index then (.=) is more liberal in what it can accept.

l .= b ≡ l .@= const b

(.@=) :: MonadState s m => IndexedSetter i s s a b    -> (i -> b) -> m ()
(.@=) :: MonadState s m => IndexedLens i s s a b      -> (i -> b) -> m ()
(.@=) :: MonadState s m => IndexedTraversal i s t a b -> (i -> b) -> m ()

(%@=) :: MonadState s m => AnIndexedSetter i s s a b -> (i -> a -> b) -> m () infix 4 #

Adjust every target in the current state of an IndexedSetter, IndexedLens or IndexedTraversal with access to the index.

When you do not need access to the index then (%=) is more liberal in what it can accept.

l %= f ≡ l %@= const f

(%@=) :: MonadState s m => IndexedSetter i s s a b    -> (i -> a -> b) -> m ()
(%@=) :: MonadState s m => IndexedLens i s s a b      -> (i -> a -> b) -> m ()
(%@=) :: MonadState s m => IndexedTraversal i s t a b -> (i -> a -> b) -> m ()

(.@~) :: AnIndexedSetter i s t a b -> (i -> b) -> s -> t infixr 4 #

Replace every target of an IndexedSetter, IndexedLens or IndexedTraversal with access to the index.

(.@~) ≡ iset

When you do not need access to the index then (.~) is more liberal in what it can accept.

l .~ b ≡ l .@~ const b

(.@~) :: IndexedSetter i s t a b    -> (i -> b) -> s -> t
(.@~) :: IndexedLens i s t a b      -> (i -> b) -> s -> t
(.@~) :: IndexedTraversal i s t a b -> (i -> b) -> s -> t

(%@~) :: AnIndexedSetter i s t a b -> (i -> a -> b) -> s -> t infixr 4 #

Adjust every target of an IndexedSetter, IndexedLens or IndexedTraversal with access to the index.

(%@~) ≡ iover

When you do not need access to the index then (%~) is more liberal in what it can accept.

l %~ f ≡ l %@~ const f

(%@~) :: IndexedSetter i s t a b    -> (i -> a -> b) -> s -> t
(%@~) :: IndexedLens i s t a b      -> (i -> a -> b) -> s -> t
(%@~) :: IndexedTraversal i s t a b -> (i -> a -> b) -> s -> t

(<>=) :: (MonadState s m, Monoid a) => ASetter' s a -> a -> m () infix 4 #

Modify the target(s) of a Lens', Iso, Setter or Traversal by mappending a value.

>>> execState (do _1 <>= Sum c; _2 <>= Product d) (Sum a,Product b)
(Sum {getSum = a + c},Product {getProduct = b * d})

>>> execState (both <>= "!!!") ("hello","world")
("hello!!!","world!!!")

(<>=) :: (MonadState s m, Monoid a) => Setter' s a -> a -> m ()
(<>=) :: (MonadState s m, Monoid a) => Iso' s a -> a -> m ()
(<>=) :: (MonadState s m, Monoid a) => Lens' s a -> a -> m ()
(<>=) :: (MonadState s m, Monoid a) => Traversal' s a -> a -> m ()

(<>~) :: Monoid a => ASetter s t a a -> a -> s -> t infixr 4 #

Modify the target of a monoidally valued by mappending another value.

>>> (Sum a,b) & _1 <>~ Sum c
(Sum {getSum = a + c},b)

>>> (Sum a,Sum b) & both <>~ Sum c
(Sum {getSum = a + c},Sum {getSum = b + c})

>>> both <>~ "!!!" $ ("hello","world")
("hello!!!","world!!!")

(<>~) :: Monoid a => Setter s t a a    -> a -> s -> t
(<>~) :: Monoid a => Iso s t a a       -> a -> s -> t
(<>~) :: Monoid a => Lens s t a a      -> a -> s -> t
(<>~) :: Monoid a => Traversal s t a a -> a -> s -> t

(<?=) :: MonadState s m => ASetter s s a (Maybe b) -> b -> m b infix 4 #

Set Just a value with pass-through

This is useful for chaining assignment without round-tripping through your Monad stack.

do x <- at "foo" <?= ninety_nine_bottles_of_beer_on_the_wall

If you do not need a copy of the intermediate result, then using l ?= d will avoid unused binding warnings.

(<?=) :: MonadState s m => Setter s s a (Maybe b)    -> b -> m b
(<?=) :: MonadState s m => Iso s s a (Maybe b)       -> b -> m b
(<?=) :: MonadState s m => Lens s s a (Maybe b)      -> b -> m b
(<?=) :: MonadState s m => Traversal s s a (Maybe b) -> b -> m b

(<.=) :: MonadState s m => ASetter s s a b -> b -> m b infix 4 #

Set with pass-through

This is useful for chaining assignment without round-tripping through your Monad stack.

do x <- _2 <.= ninety_nine_bottles_of_beer_on_the_wall

If you do not need a copy of the intermediate result, then using l .= d will avoid unused binding warnings.

(<.=) :: MonadState s m => Setter s s a b    -> b -> m b
(<.=) :: MonadState s m => Iso s s a b       -> b -> m b
(<.=) :: MonadState s m => Lens s s a b      -> b -> m b
(<.=) :: MonadState s m => Traversal s s a b -> b -> m b

(<~) :: MonadState s m => ASetter s s a b -> m b -> m () infixr 2 #

Run a monadic action, and set all of the targets of a Lens, Setter or Traversal to its result.

(<~) :: MonadState s m => Iso s s a b       -> m b -> m ()
(<~) :: MonadState s m => Lens s s a b      -> m b -> m ()
(<~) :: MonadState s m => Traversal s s a b -> m b -> m ()
(<~) :: MonadState s m => Setter s s a b    -> m b -> m ()

As a reasonable mnemonic, this lets you store the result of a monadic action in a Lens rather than in a local variable.

do foo <- bar
   ...

will store the result in a variable, while

do foo <~ bar
   ...

will store the result in a Lens, Setter, or Traversal.

(||=) :: MonadState s m => ASetter' s Bool -> Bool -> m () infix 4 #

Modify the target(s) of a Lens', 'Iso, Setter or Traversal by taking their logical || with a value.

>>> execState (do _1 ||= True; _2 ||= False; _3 ||= True; _4 ||= False) (True,True,False,False)
(True,True,True,False)

(||=) :: MonadState s m => Setter' s Bool    -> Bool -> m ()
(||=) :: MonadState s m => Iso' s Bool       -> Bool -> m ()
(||=) :: MonadState s m => Lens' s Bool      -> Bool -> m ()
(||=) :: MonadState s m => Traversal' s Bool -> Bool -> m ()

(&&=) :: MonadState s m => ASetter' s Bool -> Bool -> m () infix 4 #

Modify the target(s) of a Lens', Iso, Setter or Traversal by taking their logical && with a value.

>>> execState (do _1 &&= True; _2 &&= False; _3 &&= True; _4 &&= False) (True,True,False,False)
(True,False,False,False)

(&&=) :: MonadState s m => Setter' s Bool    -> Bool -> m ()
(&&=) :: MonadState s m => Iso' s Bool       -> Bool -> m ()
(&&=) :: MonadState s m => Lens' s Bool      -> Bool -> m ()
(&&=) :: MonadState s m => Traversal' s Bool -> Bool -> m ()

(**=) :: (MonadState s m, Floating a) => ASetter' s a -> a -> m () infix 4 #

Raise the target(s) of a numerically valued Lens, Setter or Traversal to an arbitrary power

>>> execState (do _1 **= c; _2 **= d) (a,b)
(a**c,b**d)

(**=) ::  (MonadState s m, Floating a) => Setter' s a    -> a -> m ()
(**=) ::  (MonadState s m, Floating a) => Iso' s a       -> a -> m ()
(**=) ::  (MonadState s m, Floating a) => Lens' s a      -> a -> m ()
(**=) ::  (MonadState s m, Floating a) => Traversal' s a -> a -> m ()

(^^=) :: (MonadState s m, Fractional a, Integral e) => ASetter' s a -> e -> m () infix 4 #

Raise the target(s) of a numerically valued Lens, Setter or Traversal to an integral power.

(^^=) ::  (MonadState s m, Fractional a, Integral e) => Setter' s a    -> e -> m ()
(^^=) ::  (MonadState s m, Fractional a, Integral e) => Iso' s a       -> e -> m ()
(^^=) ::  (MonadState s m, Fractional a, Integral e) => Lens' s a      -> e -> m ()
(^^=) ::  (MonadState s m, Fractional a, Integral e) => Traversal' s a -> e -> m ()

(^=) :: (MonadState s m, Num a, Integral e) => ASetter' s a -> e -> m () infix 4 #

Raise the target(s) of a numerically valued Lens, Setter or Traversal to a non-negative integral power.

(^=) ::  (MonadState s m, Num a, Integral e) => Setter' s a    -> e -> m ()
(^=) ::  (MonadState s m, Num a, Integral e) => Iso' s a       -> e -> m ()
(^=) ::  (MonadState s m, Num a, Integral e) => Lens' s a      -> e -> m ()
(^=) ::  (MonadState s m, Num a, Integral e) => Traversal' s a -> e -> m ()

(//=) :: (MonadState s m, Fractional a) => ASetter' s a -> a -> m () infix 4 #

Modify the target(s) of a Lens', Iso, Setter or Traversal by dividing by a value.

>>> execState (do _1 //= c; _2 //= d) (a,b)
(a / c,b / d)

(//=) :: (MonadState s m, Fractional a) => Setter' s a    -> a -> m ()
(//=) :: (MonadState s m, Fractional a) => Iso' s a       -> a -> m ()
(//=) :: (MonadState s m, Fractional a) => Lens' s a      -> a -> m ()
(//=) :: (MonadState s m, Fractional a) => Traversal' s a -> a -> m ()

(*=) :: (MonadState s m, Num a) => ASetter' s a -> a -> m () infix 4 #

Modify the target(s) of a Lens', Iso, Setter or Traversal by multiplying by value.

>>> execState (do _1 *= c; _2 *= d) (a,b)
(a * c,b * d)

(*=) :: (MonadState s m, Num a) => Setter' s a    -> a -> m ()
(*=) :: (MonadState s m, Num a) => Iso' s a       -> a -> m ()
(*=) :: (MonadState s m, Num a) => Lens' s a      -> a -> m ()
(*=) :: (MonadState s m, Num a) => Traversal' s a -> a -> m ()

(-=) :: (MonadState s m, Num a) => ASetter' s a -> a -> m () infix 4 #

Modify the target(s) of a Lens', Iso, Setter or Traversal by subtracting a value.

>>> execState (do _1 -= c; _2 -= d) (a,b)
(a - c,b - d)

(-=) :: (MonadState s m, Num a) => Setter' s a    -> a -> m ()
(-=) :: (MonadState s m, Num a) => Iso' s a       -> a -> m ()
(-=) :: (MonadState s m, Num a) => Lens' s a      -> a -> m ()
(-=) :: (MonadState s m, Num a) => Traversal' s a -> a -> m ()

(+=) :: (MonadState s m, Num a) => ASetter' s a -> a -> m () infix 4 #

Modify the target(s) of a Lens', Iso, Setter or Traversal by adding a value.

Example:

fresh :: MonadState Int m => m Int
fresh = do
  id += 1
  use id

>>> execState (do _1 += c; _2 += d) (a,b)
(a + c,b + d)

>>> execState (do _1.at 1.non 0 += 10) (Map.fromList [(2,100)],"hello")
(fromList [(1,10),(2,100)],"hello")

(+=) :: (MonadState s m, Num a) => Setter' s a    -> a -> m ()
(+=) :: (MonadState s m, Num a) => Iso' s a       -> a -> m ()
(+=) :: (MonadState s m, Num a) => Lens' s a      -> a -> m ()
(+=) :: (MonadState s m, Num a) => Traversal' s a -> a -> m ()

(?=) :: MonadState s m => ASetter s s a (Maybe b) -> b -> m () infix 4 #

Replace the target of a Lens or all of the targets of a Setter or Traversal in our monadic state with Just a new value, irrespective of the old.

>>> execState (do at 1 ?= a; at 2 ?= b) Map.empty
fromList [(1,a),(2,b)]

>>> execState (do _1 ?= b; _2 ?= c) (Just a, Nothing)
(Just b,Just c)

(?=) :: MonadState s m => Iso' s (Maybe a)       -> a -> m ()
(?=) :: MonadState s m => Lens' s (Maybe a)      -> a -> m ()
(?=) :: MonadState s m => Traversal' s (Maybe a) -> a -> m ()
(?=) :: MonadState s m => Setter' s (Maybe a)    -> a -> m ()

(%=) :: MonadState s m => ASetter s s a b -> (a -> b) -> m () infix 4 #

Map over the target of a Lens or all of the targets of a Setter or Traversal in our monadic state.

>>> execState (do _1 %= f;_2 %= g) (a,b)
(f a,g b)

>>> execState (do both %= f) (a,b)
(f a,f b)

(%=) :: MonadState s m => Iso' s a       -> (a -> a) -> m ()
(%=) :: MonadState s m => Lens' s a      -> (a -> a) -> m ()
(%=) :: MonadState s m => Traversal' s a -> (a -> a) -> m ()
(%=) :: MonadState s m => Setter' s a    -> (a -> a) -> m ()

(%=) :: MonadState s m => ASetter s s a b -> (a -> b) -> m ()

(.=) :: MonadState s m => ASetter s s a b -> b -> m () infix 4 #

Replace the target of a Lens or all of the targets of a Setter or Traversal in our monadic state with a new value, irrespective of the old.

This is an infix version of assign.

>>> execState (do _1 .= c; _2 .= d) (a,b)
(c,d)

>>> execState (both .= c) (a,b)
(c,c)

(.=) :: MonadState s m => Iso' s a       -> a -> m ()
(.=) :: MonadState s m => Lens' s a      -> a -> m ()
(.=) :: MonadState s m => Traversal' s a -> a -> m ()
(.=) :: MonadState s m => Setter' s a    -> a -> m ()

It puts the state in the monad or it gets the hose again.

(&&~) :: ASetter s t Bool Bool -> Bool -> s -> t infixr 4 #

Logically && the target(s) of a Bool-valued Lens or Setter.

>>> both &&~ True $ (False, True)
(False,True)

>>> both &&~ False $ (False, True)
(False,False)

(&&~) :: Setter' s Bool    -> Bool -> s -> s
(&&~) :: Iso' s Bool       -> Bool -> s -> s
(&&~) :: Lens' s Bool      -> Bool -> s -> s
(&&~) :: Traversal' s Bool -> Bool -> s -> s

(||~) :: ASetter s t Bool Bool -> Bool -> s -> t infixr 4 #

Logically || the target(s) of a Bool-valued Lens or Setter.

>>> both ||~ True $ (False,True)
(True,True)

>>> both ||~ False $ (False,True)
(False,True)

(||~) :: Setter' s Bool    -> Bool -> s -> s
(||~) :: Iso' s Bool       -> Bool -> s -> s
(||~) :: Lens' s Bool      -> Bool -> s -> s
(||~) :: Traversal' s Bool -> Bool -> s -> s

(**~) :: Floating a => ASetter s t a a -> a -> s -> t infixr 4 #

Raise the target(s) of a floating-point valued Lens, Setter or Traversal to an arbitrary power.

>>> (a,b) & _1 **~ c
(a**c,b)

>>> (a,b) & both **~ c
(a**c,b**c)

>>> _2 **~ 10 $ (3,2)
(3,1024.0)

(**~) :: Floating a => Setter' s a    -> a -> s -> s
(**~) :: Floating a => Iso' s a       -> a -> s -> s
(**~) :: Floating a => Lens' s a      -> a -> s -> s
(**~) :: Floating a => Traversal' s a -> a -> s -> s

(^^~) :: (Fractional a, Integral e) => ASetter s t a a -> e -> s -> t infixr 4 #

Raise the target(s) of a fractionally valued Lens, Setter or Traversal to an integral power.

>>> (1,2) & _2 ^^~ (-1)
(1,0.5)

(^^~) :: (Fractional a, Integral e) => Setter' s a    -> e -> s -> s
(^^~) :: (Fractional a, Integral e) => Iso' s a       -> e -> s -> s
(^^~) :: (Fractional a, Integral e) => Lens' s a      -> e -> s -> s
(^^~) :: (Fractional a, Integral e) => Traversal' s a -> e -> s -> s

(^~) :: (Num a, Integral e) => ASetter s t a a -> e -> s -> t infixr 4 #

Raise the target(s) of a numerically valued Lens, Setter or Traversal to a non-negative integral power.

>>> (1,3) & _2 ^~ 2
(1,9)

(^~) :: (Num a, Integral e) => Setter' s a    -> e -> s -> s
(^~) :: (Num a, Integral e) => Iso' s a       -> e -> s -> s
(^~) :: (Num a, Integral e) => Lens' s a      -> e -> s -> s
(^~) :: (Num a, Integral e) => Traversal' s a -> e -> s -> s

(//~) :: Fractional a => ASetter s t a a -> a -> s -> t infixr 4 #

Divide the target(s) of a numerically valued Lens, Iso, Setter or Traversal.

>>> (a,b) & _1 //~ c
(a / c,b)

>>> (a,b) & both //~ c
(a / c,b / c)

>>> ("Hawaii",10) & _2 //~ 2
("Hawaii",5.0)

(//~) :: Fractional a => Setter' s a    -> a -> s -> s
(//~) :: Fractional a => Iso' s a       -> a -> s -> s
(//~) :: Fractional a => Lens' s a      -> a -> s -> s
(//~) :: Fractional a => Traversal' s a -> a -> s -> s

(-~) :: Num a => ASetter s t a a -> a -> s -> t infixr 4 #

Decrement the target(s) of a numerically valued Lens, Iso, Setter or Traversal.

>>> (a,b) & _1 -~ c
(a - c,b)

>>> (a,b) & both -~ c
(a - c,b - c)

>>> _1 -~ 2 $ (1,2)
(-1,2)

>>> mapped.mapped -~ 1 $ [[4,5],[6,7]]
[[3,4],[5,6]]

(-~) :: Num a => Setter' s a    -> a -> s -> s
(-~) :: Num a => Iso' s a       -> a -> s -> s
(-~) :: Num a => Lens' s a      -> a -> s -> s
(-~) :: Num a => Traversal' s a -> a -> s -> s

(*~) :: Num a => ASetter s t a a -> a -> s -> t infixr 4 #

Multiply the target(s) of a numerically valued Lens, Iso, Setter or Traversal.

>>> (a,b) & _1 *~ c
(a * c,b)

>>> (a,b) & both *~ c
(a * c,b * c)

>>> (1,2) & _2 *~ 4
(1,8)

>>> Just 24 & mapped *~ 2
Just 48

(*~) :: Num a => Setter' s a    -> a -> s -> s
(*~) :: Num a => Iso' s a       -> a -> s -> s
(*~) :: Num a => Lens' s a      -> a -> s -> s
(*~) :: Num a => Traversal' s a -> a -> s -> s

(+~) :: Num a => ASetter s t a a -> a -> s -> t infixr 4 #

Increment the target(s) of a numerically valued Lens, Setter or Traversal.

>>> (a,b) & _1 +~ c
(a + c,b)

>>> (a,b) & both +~ c
(a + c,b + c)

>>> (1,2) & _2 +~ 1
(1,3)

>>> [(a,b),(c,d)] & traverse.both +~ e
[(a + e,b + e),(c + e,d + e)]

(+~) :: Num a => Setter' s a    -> a -> s -> s
(+~) :: Num a => Iso' s a       -> a -> s -> s
(+~) :: Num a => Lens' s a      -> a -> s -> s
(+~) :: Num a => Traversal' s a -> a -> s -> s

(<?~) :: ASetter s t a (Maybe b) -> b -> s -> (b, t) infixr 4 #

Set to Just a value with pass-through.

This is mostly present for consistency, but may be useful for for chaining assignments.

If you do not need a copy of the intermediate result, then using l ?~ d directly is a good idea.

>>> import Data.Map as Map
>>> _2.at "hello" <?~ "world" $ (42,Map.fromList [("goodnight","gracie")])
("world",(42,fromList [("goodnight","gracie"),("hello","world")]))

(<?~) :: Setter s t a (Maybe b)    -> b -> s -> (b, t)
(<?~) :: Iso s t a (Maybe b)       -> b -> s -> (b, t)
(<?~) :: Lens s t a (Maybe b)      -> b -> s -> (b, t)
(<?~) :: Traversal s t a (Maybe b) -> b -> s -> (b, t)

(<.~) :: ASetter s t a b -> b -> s -> (b, t) infixr 4 #

Set with pass-through.

This is mostly present for consistency, but may be useful for chaining assignments.

If you do not need a copy of the intermediate result, then using l .~ t directly is a good idea.

>>> (a,b) & _1 <.~ c
(c,(c,b))

>>> ("good","morning","vietnam") & _3 <.~ "world"
("world",("good","morning","world"))

>>> (42,Map.fromList [("goodnight","gracie")]) & _2.at "hello" <.~ Just "world"
(Just "world",(42,fromList [("goodnight","gracie"),("hello","world")]))

(<.~) :: Setter s t a b    -> b -> s -> (b, t)
(<.~) :: Iso s t a b       -> b -> s -> (b, t)
(<.~) :: Lens s t a b      -> b -> s -> (b, t)
(<.~) :: Traversal s t a b -> b -> s -> (b, t)

(?~) :: ASetter s t a (Maybe b) -> b -> s -> t infixr 4 #

Set the target of a Lens, Traversal or Setter to Just a value.

l ?~ t ≡ set l (Just t)

>>> Nothing & id ?~ a
Just a

>>> Map.empty & at 3 ?~ x
fromList [(3,x)]

(?~) :: Setter s t a (Maybe b)    -> b -> s -> t
(?~) :: Iso s t a (Maybe b)       -> b -> s -> t
(?~) :: Lens s t a (Maybe b)      -> b -> s -> t
(?~) :: Traversal s t a (Maybe b) -> b -> s -> t

(.~) :: ASetter s t a b -> b -> s -> t infixr 4 #

Replace the target of a Lens or all of the targets of a Setter or Traversal with a constant value.

This is an infix version of set, provided for consistency with (.=).

f <$ a ≡ mapped .~ f $ a

>>> (a,b,c,d) & _4 .~ e
(a,b,c,e)

>>> (42,"world") & _1 .~ "hello"
("hello","world")

>>> (a,b) & both .~ c
(c,c)

(.~) :: Setter s t a b    -> b -> s -> t
(.~) :: Iso s t a b       -> b -> s -> t
(.~) :: Lens s t a b      -> b -> s -> t
(.~) :: Traversal s t a b -> b -> s -> t

(%~) :: ASetter s t a b -> (a -> b) -> s -> t infixr 4 #

Modifies the target of a Lens or all of the targets of a Setter or Traversal with a user supplied function.

This is an infix version of over.

fmap f ≡ mapped %~ f
fmapDefault f ≡ traverse %~ f

>>> (a,b,c) & _3 %~ f
(a,b,f c)

>>> (a,b) & both %~ f
(f a,f b)

>>> _2 %~ length $ (1,"hello")
(1,5)

>>> traverse %~ f $ [a,b,c]
[f a,f b,f c]

>>> traverse %~ even $ [1,2,3]
[False,True,False]

>>> traverse.traverse %~ length $ [["hello","world"],["!!!"]]
[[5,5],[3]]

(%~) :: Setter s t a b    -> (a -> b) -> s -> t
(%~) :: Iso s t a b       -> (a -> b) -> s -> t
(%~) :: Lens s t a b      -> (a -> b) -> s -> t
(%~) :: Traversal s t a b -> (a -> b) -> s -> t

newtype StateT s (m :: Type -> Type) a #

A state transformer monad parameterized by:

s - The state.
m - The inner monad.

The return function leaves the state unchanged, while >>= uses the final state of the first computation as the initial state of the second.

Constructors

StateT
Fields runStateT :: s -> m (a, s)

Instances

MonadSplit g m => MonadSplit g (StateT s m)
Instance details Defined in Control.Monad.Random.Class Methods getSplit :: StateT s m g #
MonadReader r m => MonadReader r (StateT s m)
Instance details Defined in Control.Monad.Reader.Class Methods ask :: StateT s m r # local :: (r -> r) -> StateT s m a -> StateT s m a # reader :: (r -> a) -> StateT s m a #
Monad m => MonadState s (StateT s m)
Instance details Defined in Control.Monad.State.Class Methods get :: StateT s m s # put :: s -> StateT s m () # state :: (s -> (a, s)) -> StateT s m a #
MonadError e m => MonadError e (StateT s m)
Instance details Defined in Control.Monad.Error.Class Methods throwError :: e -> StateT s m a # catchError :: StateT s m a -> (e -> StateT s m a) -> StateT s m a #
MonadBaseControl b m => MonadBaseControl b (StateT s m)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM (StateT s m) a :: Type # Methods liftBaseWith :: (RunInBase (StateT s m) b -> b a) -> StateT s m a # restoreM :: StM (StateT s m) a -> StateT s m a #
MonadTrans (StateT s)
Instance details Defined in Control.Monad.Trans.State.Lazy Methods lift :: Monad m => m a -> StateT s m a #
MonadTransControl (StateT s)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StT (StateT s) a :: Type # Methods liftWith :: Monad m => (Run (StateT s) -> m a) -> StateT s m a # restoreT :: Monad m => m (StT (StateT s) a) -> StateT s m a #
Monad m => Monad (StateT s m)
Instance details Defined in Control.Monad.Trans.State.Lazy Methods (>>=) :: StateT s m a -> (a -> StateT s m b) -> StateT s m b # (>>) :: StateT s m a -> StateT s m b -> StateT s m b # return :: a -> StateT s m a # fail :: String -> StateT s m a #
Functor m => Functor (StateT s m)
Instance details Defined in Control.Monad.Trans.State.Lazy Methods fmap :: (a -> b) -> StateT s m a -> StateT s m b # (<$) :: a -> StateT s m b -> StateT s m a #
MonadFix m => MonadFix (StateT s m)
Instance details Defined in Control.Monad.Trans.State.Lazy Methods mfix :: (a -> StateT s m a) -> StateT s m a #
MonadFail m => MonadFail (StateT s m)
Instance details Defined in Control.Monad.Trans.State.Lazy Methods fail :: String -> StateT s m a #
(Functor m, Monad m) => Applicative (StateT s m)
Instance details Defined in Control.Monad.Trans.State.Lazy Methods pure :: a -> StateT s m a # (<>) :: StateT s m (a -> b) -> StateT s m a -> StateT s m b # liftA2 :: (a -> b -> c) -> StateT s m a -> StateT s m b -> StateT s m c # (>) :: StateT s m a -> StateT s m b -> StateT s m b # (<*) :: StateT s m a -> StateT s m b -> StateT s m a #
MonadPlus m => MonadPlus (StateT s m)
Instance details Defined in Control.Monad.Trans.State.Lazy Methods mzero :: StateT s m a # mplus :: StateT s m a -> StateT s m a -> StateT s m a #
MonadIO m => MonadIO (StateT s m)
Instance details Defined in Control.Monad.Trans.State.Lazy Methods liftIO :: IO a -> StateT s m a #
MonadRandom m => MonadRandom (StateT s m)
Instance details Defined in Control.Monad.Random.Class Methods getRandomR :: Random a => (a, a) -> StateT s m a # getRandom :: Random a => StateT s m a # getRandomRs :: Random a => (a, a) -> StateT s m [a] # getRandoms :: Random a => StateT s m [a] #
MonadInterleave m => MonadInterleave (StateT s m)
Instance details Defined in Control.Monad.Random.Class Methods interleave :: StateT s m a -> StateT s m a #
Contravariant m => Contravariant (StateT s m)
Instance details Defined in Control.Monad.Trans.State.Lazy Methods contramap :: (a -> b) -> StateT s m b -> StateT s m a # (>$) :: b -> StateT s m b -> StateT s m a #
(Functor m, MonadPlus m) => Alternative (StateT s m)
Instance details Defined in Control.Monad.Trans.State.Lazy Methods empty :: StateT s m a # (<\|>) :: StateT s m a -> StateT s m a -> StateT s m a # some :: StateT s m a -> StateT s m [a] # many :: StateT s m a -> StateT s m [a] #
MonadThrow m => MonadThrow (StateT s m)
Instance details Defined in Control.Monad.Catch Methods throwM :: Exception e => e -> StateT s m a #
MonadCatch m => MonadCatch (StateT s m)
Instance details Defined in Control.Monad.Catch Methods catch :: Exception e => StateT s m a -> (e -> StateT s m a) -> StateT s m a #
MonadMask m => MonadMask (StateT s m)
Instance details Defined in Control.Monad.Catch Methods mask :: ((forall a. StateT s m a -> StateT s m a) -> StateT s m b) -> StateT s m b # uninterruptibleMask :: ((forall a. StateT s m a -> StateT s m a) -> StateT s m b) -> StateT s m b # generalBracket :: StateT s m a -> (a -> ExitCase b -> StateT s m c) -> (a -> StateT s m b) -> StateT s m (b, c) #
PrimMonad m => PrimMonad (StateT s m)
Instance details Defined in Control.Monad.Primitive Associated Types type PrimState (StateT s m) :: Type # Methods primitive :: (State# (PrimState (StateT s m)) -> (#State# (PrimState (StateT s m)), a#)) -> StateT s m a #
Monad z => Zoom (StateT s z) (StateT t z) s t
Instance details Defined in Control.Lens.Zoom Methods zoom :: LensLike' (Zoomed (StateT s z) c) t s -> StateT s z c -> StateT t z c #
Wrapped (StateT s m a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (StateT s m a) :: Type # Methods _Wrapped' :: Iso' (StateT s m a) (Unwrapped (StateT s m a)) #
t ~ StateT s' m' a' => Rewrapped (StateT s m a) t
Instance details Defined in Control.Lens.Wrapped
type StT (StateT s) a
Instance details Defined in Control.Monad.Trans.Control type StT (StateT s) a = (a, s)
type Zoomed (StateT s z)
Instance details Defined in Control.Lens.Zoom type Zoomed (StateT s z) = Focusing z
type PrimState (StateT s m)
Instance details Defined in Control.Monad.Primitive type PrimState (StateT s m) = PrimState m
type StM (StateT s m) a
Instance details Defined in Control.Monad.Trans.Control type StM (StateT s m) a = ComposeSt (StateT s) m a
type Unwrapped (StateT s m a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (StateT s m a) = s -> m (a, s)

newtype ReaderT r (m :: k -> Type) (a :: k) :: forall k. Type -> (k -> Type) -> k -> Type #

The reader monad transformer, which adds a read-only environment to the given monad.

The return function ignores the environment, while >>= passes the inherited environment to both subcomputations.

Constructors

ReaderT
Fields runReaderT :: r -> m a

Instances

MonadSplit g m => MonadSplit g (ReaderT r m)
Instance details Defined in Control.Monad.Random.Class Methods getSplit :: ReaderT r m g #
Monad m => MonadReader r (ReaderT r m)
Instance details Defined in Control.Monad.Reader.Class Methods ask :: ReaderT r m r # local :: (r -> r) -> ReaderT r m a -> ReaderT r m a # reader :: (r -> a) -> ReaderT r m a #
MonadState s m => MonadState s (ReaderT r m)
Instance details Defined in Control.Monad.State.Class Methods get :: ReaderT r m s # put :: s -> ReaderT r m () # state :: (s -> (a, s)) -> ReaderT r m a #
MonadError e m => MonadError e (ReaderT r m)
Instance details Defined in Control.Monad.Error.Class Methods throwError :: e -> ReaderT r m a # catchError :: ReaderT r m a -> (e -> ReaderT r m a) -> ReaderT r m a #
MonadBaseControl b m => MonadBaseControl b (ReaderT r m)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM (ReaderT r m) a :: Type # Methods liftBaseWith :: (RunInBase (ReaderT r m) b -> b a) -> ReaderT r m a # restoreM :: StM (ReaderT r m) a -> ReaderT r m a #
MonadTrans (ReaderT r :: (Type -> Type) -> Type -> Type)
Instance details Defined in Control.Monad.Trans.Reader Methods lift :: Monad m => m a -> ReaderT r m a #
MonadTransControl (ReaderT r :: (Type -> Type) -> Type -> Type)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StT (ReaderT r) a :: Type # Methods liftWith :: Monad m => (Run (ReaderT r) -> m a) -> ReaderT r m a # restoreT :: Monad m => m (StT (ReaderT r) a) -> ReaderT r m a #
FunctorWithIndex i m => FunctorWithIndex (e, i) (ReaderT e m)
Instance details Defined in Control.Lens.Indexed Methods imap :: ((e, i) -> a -> b) -> ReaderT e m a -> ReaderT e m b # imapped :: IndexedSetter (e, i) (ReaderT e m a) (ReaderT e m b) a b #
Monad m => Monad (ReaderT r m)
Instance details Defined in Control.Monad.Trans.Reader Methods (>>=) :: ReaderT r m a -> (a -> ReaderT r m b) -> ReaderT r m b # (>>) :: ReaderT r m a -> ReaderT r m b -> ReaderT r m b # return :: a -> ReaderT r m a # fail :: String -> ReaderT r m a #
Functor m => Functor (ReaderT r m)
Instance details Defined in Control.Monad.Trans.Reader Methods fmap :: (a -> b) -> ReaderT r m a -> ReaderT r m b # (<$) :: a -> ReaderT r m b -> ReaderT r m a #
MonadFix m => MonadFix (ReaderT r m)
Instance details Defined in Control.Monad.Trans.Reader Methods mfix :: (a -> ReaderT r m a) -> ReaderT r m a #
MonadFail m => MonadFail (ReaderT r m)
Instance details Defined in Control.Monad.Trans.Reader Methods fail :: String -> ReaderT r m a #
Applicative m => Applicative (ReaderT r m)
Instance details Defined in Control.Monad.Trans.Reader Methods pure :: a -> ReaderT r m a # (<>) :: ReaderT r m (a -> b) -> ReaderT r m a -> ReaderT r m b # liftA2 :: (a -> b -> c) -> ReaderT r m a -> ReaderT r m b -> ReaderT r m c # (>) :: ReaderT r m a -> ReaderT r m b -> ReaderT r m b # (<*) :: ReaderT r m a -> ReaderT r m b -> ReaderT r m a #
MonadPlus m => MonadPlus (ReaderT r m)
Instance details Defined in Control.Monad.Trans.Reader Methods mzero :: ReaderT r m a # mplus :: ReaderT r m a -> ReaderT r m a -> ReaderT r m a #
MonadIO m => MonadIO (ReaderT r m)
Instance details Defined in Control.Monad.Trans.Reader Methods liftIO :: IO a -> ReaderT r m a #
MonadRandom m => MonadRandom (ReaderT r m)
Instance details Defined in Control.Monad.Random.Class Methods getRandomR :: Random a => (a, a) -> ReaderT r m a # getRandom :: Random a => ReaderT r m a # getRandomRs :: Random a => (a, a) -> ReaderT r m [a] # getRandoms :: Random a => ReaderT r m [a] #
MonadInterleave m => MonadInterleave (ReaderT r m)
Instance details Defined in Control.Monad.Random.Class Methods interleave :: ReaderT r m a -> ReaderT r m a #
Contravariant m => Contravariant (ReaderT r m)
Instance details Defined in Control.Monad.Trans.Reader Methods contramap :: (a -> b) -> ReaderT r m b -> ReaderT r m a # (>$) :: b -> ReaderT r m b -> ReaderT r m a #
Representable m => Representable (ReaderT e m)
Instance details Defined in Data.Functor.Rep Associated Types type Rep (ReaderT e m) :: Type # Methods tabulate :: (Rep (ReaderT e m) -> a) -> ReaderT e m a # index :: ReaderT e m a -> Rep (ReaderT e m) -> a #
Alternative m => Alternative (ReaderT r m)
Instance details Defined in Control.Monad.Trans.Reader Methods empty :: ReaderT r m a # (<\|>) :: ReaderT r m a -> ReaderT r m a -> ReaderT r m a # some :: ReaderT r m a -> ReaderT r m [a] # many :: ReaderT r m a -> ReaderT r m [a] #
MonadZip m => MonadZip (ReaderT r m)
Instance details Defined in Control.Monad.Trans.Reader Methods mzip :: ReaderT r m a -> ReaderT r m b -> ReaderT r m (a, b) # mzipWith :: (a -> b -> c) -> ReaderT r m a -> ReaderT r m b -> ReaderT r m c # munzip :: ReaderT r m (a, b) -> (ReaderT r m a, ReaderT r m b) #
MonadThrow m => MonadThrow (ReaderT r m)
Instance details Defined in Control.Monad.Catch Methods throwM :: Exception e => e -> ReaderT r m a #
MonadCatch m => MonadCatch (ReaderT r m)
Instance details Defined in Control.Monad.Catch Methods catch :: Exception e => ReaderT r m a -> (e -> ReaderT r m a) -> ReaderT r m a #
MonadMask m => MonadMask (ReaderT r m)
Instance details Defined in Control.Monad.Catch Methods mask :: ((forall a. ReaderT r m a -> ReaderT r m a) -> ReaderT r m b) -> ReaderT r m b # uninterruptibleMask :: ((forall a. ReaderT r m a -> ReaderT r m a) -> ReaderT r m b) -> ReaderT r m b # generalBracket :: ReaderT r m a -> (a -> ExitCase b -> ReaderT r m c) -> (a -> ReaderT r m b) -> ReaderT r m (b, c) #
PrimMonad m => PrimMonad (ReaderT r m)
Instance details Defined in Control.Monad.Primitive Associated Types type PrimState (ReaderT r m) :: Type # Methods primitive :: (State# (PrimState (ReaderT r m)) -> (#State# (PrimState (ReaderT r m)), a#)) -> ReaderT r m a #
Zoom m n s t => Zoom (ReaderT e m) (ReaderT e n) s t
Instance details Defined in Control.Lens.Zoom Methods zoom :: LensLike' (Zoomed (ReaderT e m) c) t s -> ReaderT e m c -> ReaderT e n c #
Monad m => Magnify (ReaderT b m) (ReaderT a m) b a
Instance details Defined in Control.Lens.Zoom Methods magnify :: LensLike' (Magnified (ReaderT b m) c) a b -> ReaderT b m c -> ReaderT a m c #
Wrapped (ReaderT r m a)
Instance details Defined in Control.Lens.Wrapped Associated Types type Unwrapped (ReaderT r m a) :: Type # Methods _Wrapped' :: Iso' (ReaderT r m a) (Unwrapped (ReaderT r m a)) #
t ~ ReaderT s n b => Rewrapped (ReaderT r m a) t
Instance details Defined in Control.Lens.Wrapped
type StT (ReaderT r :: (Type -> Type) -> Type -> Type) a
Instance details Defined in Control.Monad.Trans.Control type StT (ReaderT r :: (Type -> Type) -> Type -> Type) a = a
type Rep (ReaderT e m)
Instance details Defined in Data.Functor.Rep type Rep (ReaderT e m) = (e, Rep m)
type Zoomed (ReaderT e m)
Instance details Defined in Control.Lens.Zoom type Zoomed (ReaderT e m) = Zoomed m
type Magnified (ReaderT b m)
Instance details Defined in Control.Lens.Zoom type Magnified (ReaderT b m) = Effect m
type PrimState (ReaderT r m)
Instance details Defined in Control.Monad.Primitive type PrimState (ReaderT r m) = PrimState m
type StM (ReaderT r m) a
Instance details Defined in Control.Monad.Trans.Control type StM (ReaderT r m) a = ComposeSt (ReaderT r :: (Type -> Type) -> Type -> Type) m a
type Unwrapped (ReaderT r m a)
Instance details Defined in Control.Lens.Wrapped type Unwrapped (ReaderT r m a) = r -> m a

class MonadTrans t => MonadTransControl (t :: (Type -> Type) -> Type -> Type) #

The MonadTransControl type class is a stronger version of MonadTrans:

Instances of MonadTrans know how to lift actions in the base monad to the transformed monad. These lifted actions, however, are completely unaware of the monadic state added by the transformer.

MonadTransControl instances are aware of the monadic state of the transformer and allow to save and restore this state.

This allows to lift functions that have a monad transformer in both positive and negative position. Take, for example, the function

withFile :: FilePath -> IOMode -> (Handle -> IO r) -> IO r

MonadTrans instances can only lift the return type of the withFile function:

withFileLifted :: MonadTrans t => FilePath -> IOMode -> (Handle -> IO r) -> t IO r
withFileLifted file mode action = lift (withFile file mode action)

However, MonadTrans is not powerful enough to make withFileLifted accept a function that returns t IO. The reason is that we need to take away the transformer layer in order to pass the function to withFile. MonadTransControl allows us to do this:

withFileLifted' :: (Monad (t IO), MonadTransControl t) => FilePath -> IOMode -> (Handle -> t IO r) -> t IO r
withFileLifted' file mode action = liftWith (\run -> withFile file mode (run . action)) >>= restoreT . return

Minimal complete definition

liftWith, restoreT

Instances

MonadTransControl MaybeT
Instance details Defined in Control.Monad.Trans.Control Associated Types type StT MaybeT a :: Type # Methods liftWith :: Monad m => (Run MaybeT -> m a) -> MaybeT m a # restoreT :: Monad m => m (StT MaybeT a) -> MaybeT m a #
MonadTransControl ListT
Instance details Defined in Control.Monad.Trans.Control Associated Types type StT ListT a :: Type # Methods liftWith :: Monad m => (Run ListT -> m a) -> ListT m a # restoreT :: Monad m => m (StT ListT a) -> ListT m a #
MonadTransControl (IdentityT :: (Type -> Type) -> Type -> Type)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StT IdentityT a :: Type # Methods liftWith :: Monad m => (Run IdentityT -> m a) -> IdentityT m a # restoreT :: Monad m => m (StT IdentityT a) -> IdentityT m a #
MonadTransControl (ExceptT e)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StT (ExceptT e) a :: Type # Methods liftWith :: Monad m => (Run (ExceptT e) -> m a) -> ExceptT e m a # restoreT :: Monad m => m (StT (ExceptT e) a) -> ExceptT e m a #
Error e => MonadTransControl (ErrorT e)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StT (ErrorT e) a :: Type # Methods liftWith :: Monad m => (Run (ErrorT e) -> m a) -> ErrorT e m a # restoreT :: Monad m => m (StT (ErrorT e) a) -> ErrorT e m a #
MonadTransControl (StateT s)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StT (StateT s) a :: Type # Methods liftWith :: Monad m => (Run (StateT s) -> m a) -> StateT s m a # restoreT :: Monad m => m (StT (StateT s) a) -> StateT s m a #
Monoid w => MonadTransControl (WriterT w)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StT (WriterT w) a :: Type # Methods liftWith :: Monad m => (Run (WriterT w) -> m a) -> WriterT w m a # restoreT :: Monad m => m (StT (WriterT w) a) -> WriterT w m a #
MonadTransControl (StateT s)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StT (StateT s) a :: Type # Methods liftWith :: Monad m => (Run (StateT s) -> m a) -> StateT s m a # restoreT :: Monad m => m (StT (StateT s) a) -> StateT s m a #
Monoid w => MonadTransControl (WriterT w)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StT (WriterT w) a :: Type # Methods liftWith :: Monad m => (Run (WriterT w) -> m a) -> WriterT w m a # restoreT :: Monad m => m (StT (WriterT w) a) -> WriterT w m a #
MonadTransControl (ReaderT r :: (Type -> Type) -> Type -> Type)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StT (ReaderT r) a :: Type # Methods liftWith :: Monad m => (Run (ReaderT r) -> m a) -> ReaderT r m a # restoreT :: Monad m => m (StT (ReaderT r) a) -> ReaderT r m a #
Monoid w => MonadTransControl (RWST r w s)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StT (RWST r w s) a :: Type # Methods liftWith :: Monad m => (Run (RWST r w s) -> m a) -> RWST r w s m a # restoreT :: Monad m => m (StT (RWST r w s) a) -> RWST r w s m a #
Monoid w => MonadTransControl (RWST r w s)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StT (RWST r w s) a :: Type # Methods liftWith :: Monad m => (Run (RWST r w s) -> m a) -> RWST r w s m a # restoreT :: Monad m => m (StT (RWST r w s) a) -> RWST r w s m a #

class MonadBase b m => MonadBaseControl (b :: Type -> Type) (m :: Type -> Type) | m -> b #

Writing instances

The usual way to write a MonadBaseControl instance for a transformer stack over a base monad B is to write an instance MonadBaseControl B B for the base monad, and MonadTransControl T instances for every transformer T. Instances for MonadBaseControl are then simply implemented using ComposeSt, defaultLiftBaseWith, defaultRestoreM.

Minimal complete definition

liftBaseWith, restoreM

Instances

MonadBaseControl [] []
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM [] a :: Type # Methods liftBaseWith :: (RunInBase [] [] -> [a]) -> [a] # restoreM :: StM [] a -> [a] #
MonadBaseControl Maybe Maybe
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM Maybe a :: Type # Methods liftBaseWith :: (RunInBase Maybe Maybe -> Maybe a) -> Maybe a # restoreM :: StM Maybe a -> Maybe a #
MonadBaseControl IO IO
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM IO a :: Type # Methods liftBaseWith :: (RunInBase IO IO -> IO a) -> IO a # restoreM :: StM IO a -> IO a #
MonadBaseControl Identity Identity
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM Identity a :: Type # Methods liftBaseWith :: (RunInBase Identity Identity -> Identity a) -> Identity a # restoreM :: StM Identity a -> Identity a #
MonadBaseControl STM STM
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM STM a :: Type # Methods liftBaseWith :: (RunInBase STM STM -> STM a) -> STM a # restoreM :: StM STM a -> STM a #
MonadBaseControl b m => MonadBaseControl b (MaybeT m)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM (MaybeT m) a :: Type # Methods liftBaseWith :: (RunInBase (MaybeT m) b -> b a) -> MaybeT m a # restoreM :: StM (MaybeT m) a -> MaybeT m a #
MonadBaseControl b m => MonadBaseControl b (ListT m)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM (ListT m) a :: Type # Methods liftBaseWith :: (RunInBase (ListT m) b -> b a) -> ListT m a # restoreM :: StM (ListT m) a -> ListT m a #
(Monoid w, MonadBaseControl b m) => MonadBaseControl b (WriterT w m)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM (WriterT w m) a :: Type # Methods liftBaseWith :: (RunInBase (WriterT w m) b -> b a) -> WriterT w m a # restoreM :: StM (WriterT w m) a -> WriterT w m a #
(Monoid w, MonadBaseControl b m) => MonadBaseControl b (WriterT w m)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM (WriterT w m) a :: Type # Methods liftBaseWith :: (RunInBase (WriterT w m) b -> b a) -> WriterT w m a # restoreM :: StM (WriterT w m) a -> WriterT w m a #
MonadBaseControl b m => MonadBaseControl b (StateT s m)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM (StateT s m) a :: Type # Methods liftBaseWith :: (RunInBase (StateT s m) b -> b a) -> StateT s m a # restoreM :: StM (StateT s m) a -> StateT s m a #
MonadBaseControl b m => MonadBaseControl b (StateT s m)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM (StateT s m) a :: Type # Methods liftBaseWith :: (RunInBase (StateT s m) b -> b a) -> StateT s m a # restoreM :: StM (StateT s m) a -> StateT s m a #
MonadBaseControl b m => MonadBaseControl b (IdentityT m)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM (IdentityT m) a :: Type # Methods liftBaseWith :: (RunInBase (IdentityT m) b -> b a) -> IdentityT m a # restoreM :: StM (IdentityT m) a -> IdentityT m a #
MonadBaseControl b m => MonadBaseControl b (ExceptT e m)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM (ExceptT e m) a :: Type # Methods liftBaseWith :: (RunInBase (ExceptT e m) b -> b a) -> ExceptT e m a # restoreM :: StM (ExceptT e m) a -> ExceptT e m a #
(Error e, MonadBaseControl b m) => MonadBaseControl b (ErrorT e m)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM (ErrorT e m) a :: Type # Methods liftBaseWith :: (RunInBase (ErrorT e m) b -> b a) -> ErrorT e m a # restoreM :: StM (ErrorT e m) a -> ErrorT e m a #
MonadBaseControl b m => MonadBaseControl b (ReaderT r m)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM (ReaderT r m) a :: Type # Methods liftBaseWith :: (RunInBase (ReaderT r m) b -> b a) -> ReaderT r m a # restoreM :: StM (ReaderT r m) a -> ReaderT r m a #
(Monoid w, MonadBaseControl b m) => MonadBaseControl b (RWST r w s m)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM (RWST r w s m) a :: Type # Methods liftBaseWith :: (RunInBase (RWST r w s m) b -> b a) -> RWST r w s m a # restoreM :: StM (RWST r w s m) a -> RWST r w s m a #
(Monoid w, MonadBaseControl b m) => MonadBaseControl b (RWST r w s m)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM (RWST r w s m) a :: Type # Methods liftBaseWith :: (RunInBase (RWST r w s m) b -> b a) -> RWST r w s m a # restoreM :: StM (RWST r w s m) a -> RWST r w s m a #
MonadBaseControl (Either e) (Either e)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM (Either e) a :: Type # Methods liftBaseWith :: (RunInBase (Either e) (Either e) -> Either e a) -> Either e a # restoreM :: StM (Either e) a -> Either e a #
MonadBaseControl (ST s) (ST s)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM (ST s) a :: Type # Methods liftBaseWith :: (RunInBase (ST s) (ST s) -> ST s a) -> ST s a # restoreM :: StM (ST s) a -> ST s a #
MonadBaseControl (ST s) (ST s)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM (ST s) a :: Type # Methods liftBaseWith :: (RunInBase (ST s) (ST s) -> ST s a) -> ST s a # restoreM :: StM (ST s) a -> ST s a #
MonadBaseControl ((->) r :: Type -> Type) ((->) r :: Type -> Type)
Instance details Defined in Control.Monad.Trans.Control Associated Types type StM ((->) r) a :: Type # Methods liftBaseWith :: (RunInBase ((->) r) ((->) r) -> r -> a) -> r -> a # restoreM :: StM ((->) r) a -> r -> a #

modify' :: MonadState s m => (s -> s) -> m () #

A variant of modify in which the computation is strict in the new state.

Since: mtl-2.2

asks #

Arguments

:: MonadReader r m
=> (r -> a)	The selector function to apply to the environment.
-> m a

Retrieves a function of the current environment.

type Except e = ExceptT e Identity #

The parameterizable exception monad.

Computations are either exceptions or normal values.

The return function returns a normal value, while >>= exits on the first exception. For a variant that continues after an error and collects all the errors, see Errors.

runExcept :: Except e a -> Either e a #

Extractor for computations in the exception monad. (The inverse of except).

mapExcept :: (Either e a -> Either e' b) -> Except e a -> Except e' b #

Map the unwrapped computation using the given function.

runExcept (mapExcept f m) = f (runExcept m)

withExcept :: (e -> e') -> Except e a -> Except e' a #

Transform any exceptions thrown by the computation using the given function (a specialization of withExceptT).

runExceptT :: ExceptT e m a -> m (Either e a) #

The inverse of ExceptT.

mapExceptT :: (m (Either e a) -> n (Either e' b)) -> ExceptT e m a -> ExceptT e' n b #

Map the unwrapped computation using the given function.

runExceptT (mapExceptT f m) = f (runExceptT m)

withExceptT :: Functor m => (e -> e') -> ExceptT e m a -> ExceptT e' m a #

Transform any exceptions thrown by the computation using the given function.

runReader #

Arguments

:: Reader r a	A `Reader` to run.
-> r	An initial environment.
-> a

Runs a Reader and extracts the final value from it. (The inverse of reader.)

evalState #

Arguments

:: State s a	state-passing computation to execute
-> s	initial value
-> a	return value of the state computation

Evaluate a state computation with the given initial state and return the final value, discarding the final state.

```
evalState m s = fst (runState m s)
```

execState #

Arguments

:: State s a	state-passing computation to execute
-> s	initial value
-> s	final state

Evaluate a state computation with the given initial state and return the final state, discarding the final value.

```
execState m s = snd (runState m s)
```

withState :: (s -> s) -> State s a -> State s a #

withState f m executes action m on a state modified by applying f.

```
withState f m = modify f >> m
```

evalStateT :: Monad m => StateT s m a -> s -> m a #

Evaluate a state computation with the given initial state and return the final value, discarding the final state.

evalStateT m s = liftM fst (runStateT m s)

execStateT :: Monad m => StateT s m a -> s -> m s #

Evaluate a state computation with the given initial state and return the final state, discarding the final value.

execStateT m s = liftM snd (runStateT m s)

die :: Text -> IO a #

show :: (Show a, StringConv String b) => a -> b #

liftIO2 :: MonadIO m => (a -> b -> IO c) -> a -> b -> m c #

Lift an IO operation with 2 arguments into another monad

liftIO1 :: MonadIO m => (a -> IO b) -> a -> m b #

Lift an IO operation with 1 argument into another monad

guardedA :: (Functor f, Alternative t) => (a -> f Bool) -> a -> f (t a) #

guarded :: Alternative f => (a -> Bool) -> a -> f a #

pass :: Applicative f => f () #

Do nothing returning unit inside applicative.

throwTo :: (MonadIO m, Exception e) => ThreadId -> e -> m () #

throwIO :: (MonadIO m, Exception e) => e -> m a #

print :: (MonadIO m, Show a) => a -> m () #

applyN :: Int -> (a -> a) -> a -> a #

unsnoc :: [x] -> Maybe ([x], x) #

uncons :: [a] -> Maybe (a, [a]) #

map :: Functor f => (a -> b) -> f a -> f b #

identity :: a -> a #

type LText = Text #

type LByteString = ByteString #

witness :: a #

undefined :: a #

notImplemented :: a #

traceId :: Text -> Text #

traceM :: Monad m => Text -> m () #

traceShowM :: (Show a, Monad m) => a -> m () #

traceShowId :: Show a => a -> a #

traceShow :: Show a => a -> b -> b #

traceIO :: Print b => b -> a -> IO a #

trace :: Print b => b -> a -> a #

putErrText :: MonadIO m => Text -> m () #

putLByteString :: MonadIO m => ByteString -> m () #

putByteString :: MonadIO m => ByteString -> m () #

putLText :: MonadIO m => Text -> m () #

putText :: MonadIO m => Text -> m () #

class Print a where #

Minimal complete definition

hPutStr, hPutStrLn

Methods

hPutStr :: MonadIO m => Handle -> a -> m () #

putStr :: MonadIO m => a -> m () #

hPutStrLn :: MonadIO m => Handle -> a -> m () #

putStrLn :: MonadIO m => a -> m () #

putErrLn :: MonadIO m => a -> m () #

Instances

Print ByteString
Instance details Defined in Protolude.Show Methods hPutStr :: MonadIO m => Handle -> ByteString -> m () # putStr :: MonadIO m => ByteString -> m () # hPutStrLn :: MonadIO m => Handle -> ByteString -> m () # putStrLn :: MonadIO m => ByteString -> m () # putErrLn :: MonadIO m => ByteString -> m () #
Print ByteString
Instance details Defined in Protolude.Show Methods hPutStr :: MonadIO m => Handle -> ByteString -> m () # putStr :: MonadIO m => ByteString -> m () # hPutStrLn :: MonadIO m => Handle -> ByteString -> m () # putStrLn :: MonadIO m => ByteString -> m () # putErrLn :: MonadIO m => ByteString -> m () #
Print Text
Instance details Defined in Protolude.Show Methods hPutStr :: MonadIO m => Handle -> Text -> m () # putStr :: MonadIO m => Text -> m () # hPutStrLn :: MonadIO m => Handle -> Text -> m () # putStrLn :: MonadIO m => Text -> m () # putErrLn :: MonadIO m => Text -> m () #
Print Text
Instance details Defined in Protolude.Show Methods hPutStr :: MonadIO m => Handle -> Text -> m () # putStr :: MonadIO m => Text -> m () # hPutStrLn :: MonadIO m => Handle -> Text -> m () # putStrLn :: MonadIO m => Text -> m () # putErrLn :: MonadIO m => Text -> m () #
Print [Char]
Instance details Defined in Protolude.Show Methods hPutStr :: MonadIO m => Handle -> [Char] -> m () # putStr :: MonadIO m => [Char] -> m () # hPutStrLn :: MonadIO m => Handle -> [Char] -> m () # putStrLn :: MonadIO m => [Char] -> m () # putErrLn :: MonadIO m => [Char] -> m () #

zero :: Monoid m => m #

Alias for mempty

class Monoid m => Semiring m where #

Minimal complete definition

one, (<.>)

Methods

one :: m #

atDef :: a -> [a] -> Int -> a #

atMay :: [a] -> Int -> Maybe a #

foldl1May' :: (a -> a -> a) -> [a] -> Maybe a #

foldl1May :: (a -> a -> a) -> [a] -> Maybe a #

foldr1May :: (a -> a -> a) -> [a] -> Maybe a #

maximumDef :: Ord a => a -> [a] -> a #

minimumDef :: Ord a => a -> [a] -> a #

maximumMay :: Ord a => [a] -> Maybe a #

minimumMay :: Ord a => [a] -> Maybe a #

lastDef :: a -> [a] -> a #

lastMay :: [a] -> Maybe a #

tailSafe :: [a] -> [a] #

tailDef :: [a] -> [a] -> [a] #

tailMay :: [a] -> Maybe [a] #

initSafe :: [a] -> [a] #

initDef :: [a] -> [a] -> [a] #

initMay :: [a] -> Maybe [a] #

headDef :: a -> [a] -> a #

headMay :: [a] -> Maybe a #

panic :: HasCallStack => Text -> a #

data FatalError #

Uncatchable exceptions thrown and never caught.

Constructors

FatalError
Fields fatalErrorMessage :: Text

Instances

Show FatalError
Instance details Defined in Protolude.Panic Methods showsPrec :: Int -> FatalError -> ShowS # show :: FatalError -> String # showList :: [FatalError] -> ShowS #
Exception FatalError
Instance details Defined in Protolude.Panic Methods toException :: FatalError -> SomeException # fromException :: SomeException -> Maybe FatalError # displayException :: FatalError -> String #

liftM2' :: Monad m => (a -> b -> c) -> m a -> m b -> m c #

liftM' :: Monad m => (a -> b) -> m a -> m b #

concatMapM :: Monad m => (a -> m [b]) -> [a] -> m [b] #

sum :: (Foldable f, Num a) => f a -> a #

product :: (Foldable f, Num a) => f a -> a #

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

sortOn :: Ord o => (a -> o) -> [a] -> [a] #

head :: Foldable f => f a -> Maybe a #

foreach :: Functor f => f a -> (a -> b) -> f b #

(<<$>>) :: (Functor f, Functor g) => (a -> b) -> f (g a) -> f (g b) infixl 4 #

tryIO :: MonadIO m => IO a -> ExceptT IOException m a #

note :: MonadError e m => e -> Maybe a -> m a #

hush :: Alternative m => Either e a -> m a #

maybeToEither :: e -> Maybe a -> Either e a #

maybeEmpty :: Monoid b => (a -> b) -> Maybe a -> b #

maybeToLeft :: r -> Maybe l -> Either l r #

maybeToRight :: l -> Maybe r -> Either l r #

rightToMaybe :: Either l r -> Maybe r #

leftToMaybe :: Either l r -> Maybe l #

toSL :: StringConv a b => a -> b #

toS :: StringConv a b => a -> b #

data Leniency #

Constructors

Lenient
Strict

Instances

Bounded Leniency
Instance details Defined in Protolude.Conv Methods minBound :: Leniency # maxBound :: Leniency #
Enum Leniency
Instance details Defined in Protolude.Conv Methods succ :: Leniency -> Leniency # pred :: Leniency -> Leniency # toEnum :: Int -> Leniency # fromEnum :: Leniency -> Int # enumFrom :: Leniency -> [Leniency] # enumFromThen :: Leniency -> Leniency -> [Leniency] # enumFromTo :: Leniency -> Leniency -> [Leniency] # enumFromThenTo :: Leniency -> Leniency -> Leniency -> [Leniency] #
Eq Leniency
Instance details Defined in Protolude.Conv Methods (==) :: Leniency -> Leniency -> Bool # (/=) :: Leniency -> Leniency -> Bool #
Ord Leniency
Instance details Defined in Protolude.Conv Methods compare :: Leniency -> Leniency -> Ordering # (<) :: Leniency -> Leniency -> Bool # (<=) :: Leniency -> Leniency -> Bool # (>) :: Leniency -> Leniency -> Bool # (>=) :: Leniency -> Leniency -> Bool # max :: Leniency -> Leniency -> Leniency # min :: Leniency -> Leniency -> Leniency #
Show Leniency
Instance details Defined in Protolude.Conv Methods showsPrec :: Int -> Leniency -> ShowS # show :: Leniency -> String # showList :: [Leniency] -> ShowS #

class StringConv a b where #

Methods

strConv :: Leniency -> a -> b #

Instances

StringConv ByteString ByteString
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> ByteString -> ByteString #
StringConv ByteString ByteString
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> ByteString0 -> ByteString #
StringConv ByteString Text
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> ByteString -> Text #
StringConv ByteString Text
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> ByteString -> Text #
StringConv ByteString String
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> ByteString -> String #
StringConv ByteString ByteString
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> ByteString -> ByteString0 #
StringConv ByteString ByteString
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> ByteString -> ByteString #
StringConv ByteString Text
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> ByteString -> Text #
StringConv ByteString Text
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> ByteString -> Text #
StringConv ByteString String
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> ByteString -> String #
StringConv Text ByteString
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> Text -> ByteString #
StringConv Text ByteString
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> Text -> ByteString #
StringConv Text Text
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> Text -> Text #
StringConv Text Text
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> Text0 -> Text #
StringConv Text String
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> Text -> String #
StringConv Text ByteString
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> Text -> ByteString #
StringConv Text ByteString
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> Text -> ByteString #
StringConv Text Text
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> Text -> Text0 #
StringConv Text Text
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> Text -> Text #
StringConv Text String
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> Text -> String #
StringConv String ByteString
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> String -> ByteString #
StringConv String ByteString
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> String -> ByteString #
StringConv String Text
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> String -> Text #
StringConv String Text
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> String -> Text #
StringConv String String
Instance details Defined in Protolude.Conv Methods strConv :: Leniency -> String -> String #

(<&&>) :: Applicative a => a Bool -> a Bool -> a Bool infixr 3 #

&& lifted to an Applicative. Unlike &&^ the operator is not short-circuiting.

(&&^) :: Monad m => m Bool -> m Bool -> m Bool infixr 3 #

The && operator lifted to a monad. If the first argument evaluates to False the second argument will not be evaluated.

(<||>) :: Applicative a => a Bool -> a Bool -> a Bool infixr 2 #

|| lifted to an Applicative. Unlike ||^ the operator is not short-circuiting.

(||^) :: Monad m => m Bool -> m Bool -> m Bool infixr 2 #

The || operator lifted to a monad. If the first argument evaluates to True the second argument will not be evaluated.

guardM :: MonadPlus m => m Bool -> m () #

ifM :: Monad m => m Bool -> m a -> m a -> m a #

unlessM :: Monad m => m Bool -> m () -> m () #

whenM :: Monad m => m Bool -> m () -> m () #

bool :: a -> a -> Bool -> a #

($!) :: (a -> b) -> a -> b infixr 0 #

(<<*>>) :: (Applicative f, Applicative g) => f (g (a -> b)) -> f (g a) -> f (g b) #

liftAA2 :: (Applicative f, Applicative g) => (a -> b -> c) -> f (g a) -> f (g b) -> f (g c) #

purer :: (Applicative f, Applicative g) => a -> f (g a) #

eitherA :: Alternative f => f a -> f b -> f (Either a b) #

orEmpty :: Alternative f => Bool -> a -> f a #

orAlt :: (Alternative f, Monoid a) => f a -> f a #

throwE :: Monad m => e -> ExceptT e m a #

Signal an exception value e.

```
runExceptT (throwE e) = return (Left e)
```
```
throwE e >>= m = throwE e
```

catchE #

Arguments

:: Monad m
=> ExceptT e m a	the inner computation
-> (e -> ExceptT e' m a)	a handler for exceptions in the inner computation
-> ExceptT e' m a

Handle an exception.

```
catchE h (lift m) = lift m
```
```
catchE h (throwE e) = h e
```

data UnicodeException #

An exception type for representing Unicode encoding errors.

Instances

Eq UnicodeException
Instance details Defined in Data.Text.Encoding.Error Methods (==) :: UnicodeException -> UnicodeException -> Bool # (/=) :: UnicodeException -> UnicodeException -> Bool #
Show UnicodeException
Instance details Defined in Data.Text.Encoding.Error Methods showsPrec :: Int -> UnicodeException -> ShowS # show :: UnicodeException -> String # showList :: [UnicodeException] -> ShowS #
Exception UnicodeException
Instance details Defined in Data.Text.Encoding.Error Methods toException :: UnicodeException -> SomeException # fromException :: SomeException -> Maybe UnicodeException # displayException :: UnicodeException -> String #
NFData UnicodeException
Instance details Defined in Data.Text.Encoding.Error Methods rnf :: UnicodeException -> () #

type OnDecodeError = OnError Word8 Char #

A handler for a decoding error.

type OnError a b = String -> Maybe a -> Maybe b #

Function type for handling a coding error. It is supplied with two inputs:

A String that describes the error.
The input value that caused the error. If the error arose because the end of input was reached or could not be identified precisely, this value will be Nothing.

If the handler returns a value wrapped with Just, that value will be used in the output as the replacement for the invalid input. If it returns Nothing, no value will be used in the output.

Should the handler need to abort processing, it should use error or throw an exception (preferably a UnicodeException). It may use the description provided to construct a more helpful error report.

strictDecode :: OnDecodeError #

Throw a UnicodeException if decoding fails.

lenientDecode :: OnDecodeError #

Replace an invalid input byte with the Unicode replacement character U+FFFD.

ignore :: OnError a b #

Ignore an invalid input, substituting nothing in the output.

replace :: b -> OnError a b #

Replace an invalid input with a valid output.

decodeUtf8With :: OnDecodeError -> ByteString -> Text #

Decode a ByteString containing UTF-8 encoded text.

NOTE: The replacement character returned by OnDecodeError MUST be within the BMP plane; surrogate code points will automatically be remapped to the replacement char U+FFFD (since 0.11.3.0), whereas code points beyond the BMP will throw an error (since 1.2.3.1); For earlier versions of text using those unsupported code points would result in undefined behavior.

decodeUtf8 :: ByteString -> Text #

Decode a ByteString containing UTF-8 encoded text that is known to be valid.

If the input contains any invalid UTF-8 data, an exception will be thrown that cannot be caught in pure code. For more control over the handling of invalid data, use decodeUtf8' or decodeUtf8With.

decodeUtf8' :: ByteString -> Either UnicodeException Text #

Decode a ByteString containing UTF-8 encoded text.

If the input contains any invalid UTF-8 data, the relevant exception will be returned, otherwise the decoded text.

encodeUtf8 :: Text -> ByteString #

Encode text using UTF-8 encoding.

fromStrict :: Text -> Text #

O(c) Convert a strict Text into a lazy Text.

readFile :: FilePath -> IO Text #

The readFile function reads a file and returns the contents of the file as a string. The entire file is read strictly, as with getContents.

writeFile :: FilePath -> Text -> IO () #

Write a string to a file. The file is truncated to zero length before writing begins.

appendFile :: FilePath -> Text -> IO () #

Write a string the end of a file.

interact :: (Text -> Text) -> IO () #

The interact function takes a function of type Text -> Text as its argument. The entire input from the standard input device is passed to this function as its argument, and the resulting string is output on the standard output device.

getContents :: IO Text #

Read all user input on stdin as a single string.

getLine :: IO Text #

Read a single line of user input from stdin.

check :: Bool -> STM () #

Check that the boolean condition is true and, if not, retry.

In other words, check b = unless b retry.

Since: stm-2.1.1

hashNub :: (Witherable t, Eq a, Hashable a) => t a -> t a #

Removes duplicate elements from a list, keeping only the first occurrence. This is usually faster than ordNub, especially for things that have a slow comparison (like String).

ordNub :: (Witherable t, Ord a) => t a -> t a #

Removes duplicate elements from a list, keeping only the first occurrence. This is asymptotically faster than using nub from Data.List.

hashNubOf :: (Eq a, Hashable a) => FilterLike' (State (HashSet a)) s a -> s -> s #

Remove the duplicate elements through a filter. It is often faster than ordNubOf, especially when the comparison is expensive.

ordNubOf :: Ord a => FilterLike' (State (Set a)) s a -> s -> s #

Remove the duplicate elements through a filter.

forMaybe :: (Witherable t, Applicative f) => t a -> (a -> f (Maybe b)) -> f (t b) #

forMaybe = flip wither

filterOf :: FilterLike' Identity s a -> (a -> Bool) -> s -> s #

Filter each element of a structure targeted by a Filter.

filterAOf :: Functor f => FilterLike' f s a -> (a -> f Bool) -> s -> f s #

filterA through a filter.

catMaybesOf :: FilterLike Identity s t (Maybe a) a -> s -> t #

catMaybes through a filter.

mapMaybeOf :: FilterLike Identity s t a b -> (a -> Maybe b) -> s -> t #

mapMaybe through a filter.

forMaybeOf :: FilterLike f s t a b -> s -> (a -> f (Maybe b)) -> f t #

forMaybeOf ≡ flip

witherOf :: FilterLike f s t a b -> (a -> f (Maybe b)) -> s -> f t #

witherOf is actually id, but left for consistency.

cloneFilter :: FilterLike (Peat a b) s t a b -> Filter s t a b #

Reconstitute a Filter from its monomorphic form.

type FilterLike (f :: Type -> Type) s t a b = (a -> f (Maybe b)) -> s -> f t #

This type allows combinators to take a Filter specializing the parameter f.

type Filter s t a b = forall (f :: Type -> Type). Applicative f => FilterLike f s t a b #

A Filter is like a Traversal, but you can also remove targets.

type FilterLike' (f :: Type -> Type) s a = FilterLike f s s a a #

A simple FilterLike.

type Filter' s a = forall (f :: Type -> Type). Applicative f => FilterLike' f s a #

A simple Filter.

newtype Peat a b t #

This is used to characterize and clone a Filter. Since FilterLike (Peat a b) s t a b is monomorphic, it can be used to store a filter in a container.

Constructors

Peat
Fields runPeat :: forall (f :: Type -> Type). Applicative f => (a -> f (Maybe b)) -> f t

Instances

Functor (Peat a b)
Instance details Defined in Data.Witherable Methods fmap :: (a0 -> b0) -> Peat a b a0 -> Peat a b b0 # (<$) :: a0 -> Peat a b b0 -> Peat a b a0 #
Applicative (Peat a b)
Instance details Defined in Data.Witherable Methods pure :: a0 -> Peat a b a0 # (<>) :: Peat a b (a0 -> b0) -> Peat a b a0 -> Peat a b b0 # liftA2 :: (a0 -> b0 -> c) -> Peat a b a0 -> Peat a b b0 -> Peat a b c # (>) :: Peat a b a0 -> Peat a b b0 -> Peat a b b0 # (<*) :: Peat a b a0 -> Peat a b b0 -> Peat a b a0 #

class Functor f => Filterable (f :: Type -> Type) where #

Like Functor, but it include Maybe effects.

Formally, the class Filterable represents a functor from Kleisli Maybe to Hask.

A definition of mapMaybe must satisfy the following laws:

identity: mapMaybe Just ≡ id
conservation: mapMaybe (Just . f) ≡ fmap f
composition: mapMaybe f . mapMaybe g ≡ mapMaybe (f <=< g)

Minimal complete definition

mapMaybe | catMaybes

Methods

mapMaybe :: (a -> Maybe b) -> f a -> f b #

Like mapMaybe.

catMaybes :: f (Maybe a) -> f a #

catMaybes ≡ mapMaybe id

filter :: (a -> Bool) -> f a -> f a #

Filterable f . Filterable g ≡ filter (liftA2 (&&) f g)

Instances

Filterable []
Instance details Defined in Data.Witherable Methods mapMaybe :: (a -> Maybe b) -> [a] -> [b] # catMaybes :: [Maybe a] -> [a] # filter :: (a -> Bool) -> [a] -> [a] #
Filterable Maybe
Instance details Defined in Data.Witherable Methods mapMaybe :: (a -> Maybe b) -> Maybe a -> Maybe b # catMaybes :: Maybe (Maybe a) -> Maybe a # filter :: (a -> Bool) -> Maybe a -> Maybe a #
Filterable IntMap
Instance details Defined in Data.Witherable Methods mapMaybe :: (a -> Maybe b) -> IntMap a -> IntMap b # catMaybes :: IntMap (Maybe a) -> IntMap a # filter :: (a -> Bool) -> IntMap a -> IntMap a #
Filterable Seq
Instance details Defined in Data.Witherable Methods mapMaybe :: (a -> Maybe b) -> Seq a -> Seq b # catMaybes :: Seq (Maybe a) -> Seq a # filter :: (a -> Bool) -> Seq a -> Seq a #
Filterable Vector
Instance details Defined in Data.Witherable Methods mapMaybe :: (a -> Maybe b) -> Vector a -> Vector b # catMaybes :: Vector (Maybe a) -> Vector a # filter :: (a -> Bool) -> Vector a -> Vector a #
Monoid e => Filterable (Either e)
Instance details Defined in Data.Witherable Methods mapMaybe :: (a -> Maybe b) -> Either e a -> Either e b # catMaybes :: Either e (Maybe a) -> Either e a # filter :: (a -> Bool) -> Either e a -> Either e a #
(Eq k, Hashable k) => Filterable (HashMap k)
Instance details Defined in Data.Witherable Methods mapMaybe :: (a -> Maybe b) -> HashMap k a -> HashMap k b # catMaybes :: HashMap k (Maybe a) -> HashMap k a # filter :: (a -> Bool) -> HashMap k a -> HashMap k a #
Filterable (Map k)
Instance details Defined in Data.Witherable Methods mapMaybe :: (a -> Maybe b) -> Map k a -> Map k b # catMaybes :: Map k (Maybe a) -> Map k a # filter :: (a -> Bool) -> Map k a -> Map k a #
Filterable (Proxy :: Type -> Type)
Instance details Defined in Data.Witherable Methods mapMaybe :: (a -> Maybe b) -> Proxy a -> Proxy b # catMaybes :: Proxy (Maybe a) -> Proxy a # filter :: (a -> Bool) -> Proxy a -> Proxy a #
Functor f => Filterable (MaybeT f)
Instance details Defined in Data.Witherable Methods mapMaybe :: (a -> Maybe b) -> MaybeT f a -> MaybeT f b # catMaybes :: MaybeT f (Maybe a) -> MaybeT f a # filter :: (a -> Bool) -> MaybeT f a -> MaybeT f a #
Filterable (Const r :: Type -> Type)
Instance details Defined in Data.Witherable Methods mapMaybe :: (a -> Maybe b) -> Const r a -> Const r b # catMaybes :: Const r (Maybe a) -> Const r a # filter :: (a -> Bool) -> Const r a -> Const r a #
Filterable f => Filterable (IdentityT f)
Instance details Defined in Data.Witherable Methods mapMaybe :: (a -> Maybe b) -> IdentityT f a -> IdentityT f b # catMaybes :: IdentityT f (Maybe a) -> IdentityT f a # filter :: (a -> Bool) -> IdentityT f a -> IdentityT f a #
(Filterable f, Filterable g) => Filterable (Product f g)
Instance details Defined in Data.Witherable Methods mapMaybe :: (a -> Maybe b) -> Product f g a -> Product f g b # catMaybes :: Product f g (Maybe a) -> Product f g a # filter :: (a -> Bool) -> Product f g a -> Product f g a #
(Filterable f, Filterable g) => Filterable (Sum f g)
Instance details Defined in Data.Witherable Methods mapMaybe :: (a -> Maybe b) -> Sum f g a -> Sum f g b # catMaybes :: Sum f g (Maybe a) -> Sum f g a # filter :: (a -> Bool) -> Sum f g a -> Sum f g a #
(Functor f, Filterable g) => Filterable (Compose f g)
Instance details Defined in Data.Witherable Methods mapMaybe :: (a -> Maybe b) -> Compose f g a -> Compose f g b # catMaybes :: Compose f g (Maybe a) -> Compose f g a # filter :: (a -> Bool) -> Compose f g a -> Compose f g a #

class (Traversable t, Filterable t) => Witherable (t :: Type -> Type) where #

Like Traversable, but you can remove elements instead of updating them.

A definition of wither must satisfy the following laws:

identity: wither (pure . Just) ≡ pure
conservation: wither (fmap Just . f) ≡ traverse f
composition: Compose . fmap (wither f) . wither g ≡ wither (Compose . fmap (wither f) . g)

Parametricity implies the naturality law:

t . wither f ≡ wither (t . f)

Minimal complete definition

Nothing

Methods

wither :: Applicative f => (a -> f (Maybe b)) -> t a -> f (t b) #

traverse f ≡ wither (fmap Just . f)

witherM :: Monad m => (a -> m (Maybe b)) -> t a -> m (t b) #

Monadic variant of wither. This may have more efficient implementation.

filterA :: Applicative f => (a -> f Bool) -> t a -> f (t a) #

Compose . fmap (filterA f) . filterA g ≡ filterA (x -> Compose $ fmap (b -> (b&&) $ f x) (g x)

Instances

Witherable []
Instance details Defined in Data.Witherable Methods wither :: Applicative f => (a -> f (Maybe b)) -> [a] -> f [b] # witherM :: Monad m => (a -> m (Maybe b)) -> [a] -> m [b] # filterA :: Applicative f => (a -> f Bool) -> [a] -> f [a] #
Witherable Maybe
Instance details Defined in Data.Witherable Methods wither :: Applicative f => (a -> f (Maybe b)) -> Maybe a -> f (Maybe b) # witherM :: Monad m => (a -> m (Maybe b)) -> Maybe a -> m (Maybe b) # filterA :: Applicative f => (a -> f Bool) -> Maybe a -> f (Maybe a) #
Witherable IntMap
Instance details Defined in Data.Witherable Methods wither :: Applicative f => (a -> f (Maybe b)) -> IntMap a -> f (IntMap b) # witherM :: Monad m => (a -> m (Maybe b)) -> IntMap a -> m (IntMap b) # filterA :: Applicative f => (a -> f Bool) -> IntMap a -> f (IntMap a) #
Witherable Seq
Instance details Defined in Data.Witherable Methods wither :: Applicative f => (a -> f (Maybe b)) -> Seq a -> f (Seq b) # witherM :: Monad m => (a -> m (Maybe b)) -> Seq a -> m (Seq b) # filterA :: Applicative f => (a -> f Bool) -> Seq a -> f (Seq a) #
Witherable Vector
Instance details Defined in Data.Witherable Methods wither :: Applicative f => (a -> f (Maybe b)) -> Vector a -> f (Vector b) # witherM :: Monad m => (a -> m (Maybe b)) -> Vector a -> m (Vector b) # filterA :: Applicative f => (a -> f Bool) -> Vector a -> f (Vector a) #
Monoid e => Witherable (Either e)
Instance details Defined in Data.Witherable Methods wither :: Applicative f => (a -> f (Maybe b)) -> Either e a -> f (Either e b) # witherM :: Monad m => (a -> m (Maybe b)) -> Either e a -> m (Either e b) # filterA :: Applicative f => (a -> f Bool) -> Either e a -> f (Either e a) #
(Eq k, Hashable k) => Witherable (HashMap k)
Instance details Defined in Data.Witherable Methods wither :: Applicative f => (a -> f (Maybe b)) -> HashMap k a -> f (HashMap k b) # witherM :: Monad m => (a -> m (Maybe b)) -> HashMap k a -> m (HashMap k b) # filterA :: Applicative f => (a -> f Bool) -> HashMap k a -> f (HashMap k a) #
Witherable (Map k)
Instance details Defined in Data.Witherable Methods wither :: Applicative f => (a -> f (Maybe b)) -> Map k a -> f (Map k b) # witherM :: Monad m => (a -> m (Maybe b)) -> Map k a -> m (Map k b) # filterA :: Applicative f => (a -> f Bool) -> Map k a -> f (Map k a) #
Witherable (Proxy :: Type -> Type)
Instance details Defined in Data.Witherable Methods wither :: Applicative f => (a -> f (Maybe b)) -> Proxy a -> f (Proxy b) # witherM :: Monad m => (a -> m (Maybe b)) -> Proxy a -> m (Proxy b) # filterA :: Applicative f => (a -> f Bool) -> Proxy a -> f (Proxy a) #
Traversable t => Witherable (MaybeT t)
Instance details Defined in Data.Witherable Methods wither :: Applicative f => (a -> f (Maybe b)) -> MaybeT t a -> f (MaybeT t b) # witherM :: Monad m => (a -> m (Maybe b)) -> MaybeT t a -> m (MaybeT t b) # filterA :: Applicative f => (a -> f Bool) -> MaybeT t a -> f (MaybeT t a) #
Witherable (Const r :: Type -> Type)
Instance details Defined in Data.Witherable Methods wither :: Applicative f => (a -> f (Maybe b)) -> Const r a -> f (Const r b) # witherM :: Monad m => (a -> m (Maybe b)) -> Const r a -> m (Const r b) # filterA :: Applicative f => (a -> f Bool) -> Const r a -> f (Const r a) #
Witherable f => Witherable (IdentityT f)
Instance details Defined in Data.Witherable Methods wither :: Applicative f0 => (a -> f0 (Maybe b)) -> IdentityT f a -> f0 (IdentityT f b) # witherM :: Monad m => (a -> m (Maybe b)) -> IdentityT f a -> m (IdentityT f b) # filterA :: Applicative f0 => (a -> f0 Bool) -> IdentityT f a -> f0 (IdentityT f a) #
(Witherable f, Witherable g) => Witherable (Product f g)
Instance details Defined in Data.Witherable Methods wither :: Applicative f0 => (a -> f0 (Maybe b)) -> Product f g a -> f0 (Product f g b) # witherM :: Monad m => (a -> m (Maybe b)) -> Product f g a -> m (Product f g b) # filterA :: Applicative f0 => (a -> f0 Bool) -> Product f g a -> f0 (Product f g a) #
(Witherable f, Witherable g) => Witherable (Sum f g)
Instance details Defined in Data.Witherable Methods wither :: Applicative f0 => (a -> f0 (Maybe b)) -> Sum f g a -> f0 (Sum f g b) # witherM :: Monad m => (a -> m (Maybe b)) -> Sum f g a -> m (Sum f g b) # filterA :: Applicative f0 => (a -> f0 Bool) -> Sum f g a -> f0 (Sum f g a) #
(Traversable f, Witherable g) => Witherable (Compose f g)
Instance details Defined in Data.Witherable Methods wither :: Applicative f0 => (a -> f0 (Maybe b)) -> Compose f g a -> f0 (Compose f g b) # witherM :: Monad m => (a -> m (Maybe b)) -> Compose f g a -> m (Compose f g b) # filterA :: Applicative f0 => (a -> f0 Bool) -> Compose f g a -> f0 (Compose f g a) #

unsafeTail :: [a] -> [a] Source #

unsafeHead :: [a] -> a Source #

unsafeLast :: [a] -> a Source #

unsafeInit :: [a] -> [a] Source #

pshow :: (Show a, IsString c) => a -> c Source #

perror :: StringConv stringLike String => stringLike -> a Source #

pread :: (Read a, StringConv stringLike String) => stringLike -> a Source #

noWarnUndefined :: a Source #

perrorToFile :: StringConv stringLike Text => Text -> stringLike -> a Source #

Documentation

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Generic NFData deriving

Compatibility with previous deepseq versions

Writing instances

`Generic` `NFData` deriving

Compatibility with previous `deepseq` versions