| Safe Haskell | Safe-Inferred |
|---|---|
| Language | Haskell2010 |
ClassyPrelude
Synopsis
- seq :: forall {r :: RuntimeRep} a (b :: TYPE r). a -> b -> b
- fst :: (a, b) -> a
- snd :: (a, b) -> b
- otherwise :: Bool
- ($) :: forall (r :: RuntimeRep) a (b :: TYPE r). (a -> b) -> a -> b
- fromIntegral :: (Integral a, Num b) => a -> b
- realToFrac :: (Real a, Fractional b) => a -> b
- class Bounded a where
- 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
- class Fractional a => Floating a where
- class Num a => Fractional a where
- (/) :: a -> a -> a
- recip :: a -> a
- fromRational :: Rational -> a
- class (Real a, Enum a) => Integral a where
- class Applicative m => Monad (m :: Type -> Type) where
- class Functor (f :: Type -> Type) where
- class Num a where
- class Eq a => Ord a where
- 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
- class Show a
- class Typeable (a :: k)
- class IsString a where
- fromString :: String -> a
- class Functor f => Applicative (f :: Type -> Type) where
- class Foldable (t :: Type -> Type)
- class (Functor t, Foldable t) => Traversable (t :: Type -> Type)
- class Semigroup a => Monoid a where
- data Bool
- type String = [Char]
- data Char
- data Double
- data Float
- data Int
- data Int32
- data Int64
- data Integer
- data Maybe a
- data Ordering
- type Rational = Ratio Integer
- data IO a
- data Word
- data Word8
- data Word32
- data Word64
- data Either a b
- class Monad m => MonadIO (m :: Type -> Type) where
- (>=>) :: Monad m => (a -> m b) -> (b -> m c) -> a -> m c
- (***) :: Arrow a => a b c -> a b' c' -> a (b, b') (c, c')
- (&&&) :: Arrow a => a b c -> a b c' -> a b (c, c')
- userErrorType :: IOErrorType
- tryIOError :: IO a -> IO (Either IOError a)
- resourceVanishedErrorType :: IOErrorType
- permissionErrorType :: IOErrorType
- modifyIOError :: (IOError -> IOError) -> IO a -> IO a
- mkIOError :: IOErrorType -> String -> Maybe Handle -> Maybe FilePath -> IOError
- isUserErrorType :: IOErrorType -> Bool
- isUserError :: IOError -> Bool
- isResourceVanishedErrorType :: IOErrorType -> Bool
- isResourceVanishedError :: IOError -> Bool
- isPermissionErrorType :: IOErrorType -> Bool
- isPermissionError :: IOError -> Bool
- isIllegalOperationErrorType :: IOErrorType -> Bool
- isIllegalOperation :: IOError -> Bool
- isFullErrorType :: IOErrorType -> Bool
- isFullError :: IOError -> Bool
- isEOFErrorType :: IOErrorType -> Bool
- isEOFError :: IOError -> Bool
- isDoesNotExistErrorType :: IOErrorType -> Bool
- isDoesNotExistError :: IOError -> Bool
- isAlreadyInUseErrorType :: IOErrorType -> Bool
- isAlreadyInUseError :: IOError -> Bool
- isAlreadyExistsErrorType :: IOErrorType -> Bool
- isAlreadyExistsError :: IOError -> Bool
- ioeSetLocation :: IOError -> String -> IOError
- ioeSetHandle :: IOError -> Handle -> IOError
- ioeSetFileName :: IOError -> FilePath -> IOError
- ioeSetErrorType :: IOError -> IOErrorType -> IOError
- ioeSetErrorString :: IOError -> String -> IOError
- ioeGetLocation :: IOError -> String
- ioeGetHandle :: IOError -> Maybe Handle
- ioeGetFileName :: IOError -> Maybe FilePath
- ioeGetErrorType :: IOError -> IOErrorType
- ioeGetErrorString :: IOError -> String
- illegalOperationErrorType :: IOErrorType
- fullErrorType :: IOErrorType
- eofErrorType :: IOErrorType
- doesNotExistErrorType :: IOErrorType
- annotateIOError :: IOError -> String -> Maybe Handle -> Maybe FilePath -> IOError
- alreadyInUseErrorType :: IOErrorType
- alreadyExistsErrorType :: IOErrorType
- data IOErrorType
- ioError :: IOError -> IO a
- type FilePath = String
- data IOException
- type IOError = IOException
- userError :: String -> IOError
- class (Typeable e, Show e) => Exception e where
- toException :: e -> SomeException
- fromException :: SomeException -> Maybe e
- displayException :: e -> String
- asum :: (Foldable t, Alternative f) => t (f a) -> f a
- newtype Down a = Down {
- getDown :: a
- comparing :: Ord a => (b -> a) -> b -> b -> Ordering
- class Storable a
- rights :: [Either a b] -> [b]
- partitionEithers :: [Either a b] -> ([a], [b])
- lefts :: [Either a b] -> [a]
- either :: (a -> c) -> (b -> c) -> Either a b -> c
- id :: forall (a :: k). Category cat => cat a a
- (.) :: forall (b :: k) (c :: k) (a :: k). Category cat => cat b c -> cat a b -> cat a c
- odd :: Integral a => a -> Bool
- even :: Integral a => a -> Bool
- (^^) :: (Fractional a, Integral b) => a -> b -> a
- (^) :: (Num a, Integral b) => a -> b -> a
- maybeToList :: Maybe a -> [a]
- maybe :: b -> (a -> b) -> Maybe a -> b
- mapMaybe :: (a -> Maybe b) -> [a] -> [b]
- listToMaybe :: [a] -> Maybe a
- isNothing :: Maybe a -> Bool
- isJust :: Maybe a -> Bool
- fromMaybe :: a -> Maybe a -> a
- bool :: a -> a -> Bool -> a
- on :: (b -> b -> c) -> (a -> b) -> a -> a -> c
- (<$>) :: Functor f => (a -> b) -> f a -> f b
- uncurry :: (a -> b -> c) -> (a, b) -> c
- swap :: (a, b) -> (b, a)
- curry :: ((a, b) -> c) -> a -> b -> c
- subtract :: Num a => a -> a -> a
- (<|>) :: Alternative f => f a -> f a -> f a
- until :: (a -> Bool) -> (a -> a) -> a -> a
- flip :: (a -> b -> c) -> b -> a -> c
- const :: a -> b -> a
- asTypeOf :: a -> a -> a
- (=<<) :: Monad m => (a -> m b) -> m a -> m b
- ($!) :: forall (r :: RuntimeRep) a (b :: TYPE r). (a -> b) -> a -> b
- error :: forall (r :: RuntimeRep) (a :: TYPE r). HasCallStack => [Char] -> a
- data SomeException
- (&&) :: Bool -> Bool -> Bool
- not :: Bool -> Bool
- (||) :: Bool -> Bool -> Bool
- terror :: HasCallStack => Text -> a
- getArgs :: MonadIO m => m [Text]
- equating :: Eq a => (b -> a) -> b -> b -> Bool
- type LText = Text
- type LByteString = ByteString
- type UVector = Vector
- type SVector = Vector
- data Vector a
- class (Vector Vector a, MVector MVector a) => Unbox a
- data HashMap k v
- data HashSet a
- data Text
- class Hashable a where
- hashWithSalt :: Int -> a -> Int
- hash :: a -> Int
- (<.>) :: FilePath -> String -> FilePath
- (</>) :: FilePath -> FilePath -> FilePath
- data Set a
- data Seq a
- data Map k a
- data IntSet
- data IntMap a
- data ByteString
- lift :: (MonadTrans t, Monad m) => m a -> t m a
- undefined :: HasCallStack => a
- (++) :: Monoid m => m -> m -> m
- class Semigroup a where
- data WrappedMonoid m
- module Data.Functor
- liftA2 :: Applicative f => (a -> b -> c) -> f a -> f b -> f c
- optional :: Alternative f => f a -> f (Maybe a)
- class Applicative f => Alternative (f :: Type -> Type) where
- 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
- (<&&>) :: Applicative a => a Bool -> a Bool -> a Bool
- (<||>) :: Applicative a => a Bool -> a Bool -> a Bool
- guard :: Alternative f => Bool -> f ()
- join :: Monad m => m (m a) -> m a
- unless :: Applicative f => Bool -> f () -> f ()
- replicateM_ :: Applicative m => Int -> m a -> m ()
- forever :: Applicative f => f a -> f b
- (>=>) :: Monad m => (a -> m b) -> (b -> m c) -> a -> m c
- (<=<) :: Monad m => (b -> m c) -> (a -> m b) -> a -> m c
- void :: Functor f => f a -> f ()
- class (Alternative m, Monad m) => MonadPlus (m :: Type -> Type) where
- when :: Applicative f => Bool -> f () -> f ()
- liftM5 :: Monad m => (a1 -> a2 -> a3 -> a4 -> a5 -> r) -> m a1 -> m a2 -> m a3 -> m a4 -> m a5 -> m r
- liftM4 :: Monad m => (a1 -> a2 -> a3 -> a4 -> r) -> m a1 -> m a2 -> m a3 -> m a4 -> m r
- liftM3 :: Monad m => (a1 -> a2 -> a3 -> r) -> m a1 -> m a2 -> m a3 -> m r
- liftM2 :: Monad m => (a1 -> a2 -> r) -> m a1 -> m a2 -> m r
- liftM :: Monad m => (a1 -> r) -> m a1 -> m r
- ap :: Monad m => m (a -> b) -> m a -> m b
- (=<<) :: Monad m => (a -> m b) -> m a -> m b
- whenM :: Monad m => m Bool -> m () -> m ()
- unlessM :: Monad m => m Bool -> m () -> m ()
- module UnliftIO
- orElseSTM :: STM a -> STM a -> STM a
- module Data.Mutable
- module Control.Concurrent.STM.TBChan
- module Control.Concurrent.STM.TBMChan
- module Control.Concurrent.STM.TBMQueue
- module Control.Concurrent.STM.TMChan
- module Control.Concurrent.STM.TMQueue
- primToPrim :: (PrimBase m1, PrimMonad m2, PrimState m1 ~ PrimState m2) => m1 a -> m2 a
- primToIO :: (PrimBase m, PrimState m ~ RealWorld) => m a -> IO a
- primToST :: PrimBase m => m a -> ST (PrimState m) a
- module Data.Primitive.MutVar
- trace :: String -> a -> a
- traceShow :: Show a => a -> b -> b
- traceId :: String -> String
- traceM :: Monad m => String -> m ()
- traceShowId :: Show a => a -> a
- traceShowM :: (Show a, Monad m) => a -> m ()
- parseTimeM :: (MonadFail m, ParseTime t) => Bool -> TimeLocale -> String -> String -> m t
- parseTime :: ParseTime t => TimeLocale -> String -> String -> Maybe t
- formatTime :: FormatTime t => TimeLocale -> String -> t -> String
- defaultTimeLocale :: TimeLocale
- getCurrentTime :: IO UTCTime
- data UTCTime = UTCTime {
- utctDay :: Day
- utctDayTime :: DiffTime
- toGregorian :: Day -> (Integer, Int, Int)
- fromGregorian :: Integer -> Int -> Int -> Day
- newtype Day = ModifiedJulianDay {}
- class Generic a
- newtype Identity a = Identity {
- runIdentity :: a
- class Monad m => MonadReader r (m :: Type -> Type) | m -> r
- ask :: MonadReader r m => m r
- asks :: MonadReader r m => (r -> a) -> m a
- newtype ReaderT r (m :: Type -> Type) a = ReaderT {
- runReaderT :: r -> m a
- type Reader r = ReaderT r Identity
- class Foldable (t :: Type -> Type)
- 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)
- forM :: (Traversable t, Monad m) => t a -> (a -> m b) -> m (t b)
- for :: (Traversable t, Applicative f) => t a -> (a -> f b) -> f (t b)
- module Data.Bifunctor
- module Data.MonoTraversable
- module Data.MonoTraversable.Unprefixed
- module Data.Sequences
- module Data.Containers
- module Data.Builder
- module Data.NonNull
- toByteVector :: ByteString -> SVector Word8
- fromByteVector :: SVector Word8 -> ByteString
- module Say
- yieldThread :: MonadIO m => m ()
- waitAsync :: MonadIO m => Async a -> m a
- pollAsync :: MonadIO m => Async a -> m (Maybe (Either SomeException a))
- waitCatchAsync :: MonadIO m => Async a -> m (Either SomeException a)
- linkAsync :: MonadIO m => Async a -> m ()
- link2Async :: MonadIO m => Async a -> Async b -> m ()
- map :: Functor f => (a -> b) -> f a -> f b
- readMay :: (Element c ~ Char, MonoFoldable c, Read a) => c -> Maybe a
- zip :: Zip f => f a -> f b -> f (a, b)
- zip3 :: Zip3 f => f a -> f b -> f c -> f (a, b, c)
- zip4 :: Zip4 f => f a -> f b -> f c -> f d -> f (a, b, c, d)
- zip5 :: Zip5 f => f a -> f b -> f c -> f d -> f e -> f (a, b, c, d, e)
- zip6 :: Zip6 f => f a -> f b -> f c -> f d -> f e -> f g -> f (a, b, c, d, e, g)
- zip7 :: Zip7 f => f a -> f b -> f c -> f d -> f e -> f g -> f h -> f (a, b, c, d, e, g, h)
- unzip :: Zip f => f (a, b) -> (f a, f b)
- unzip3 :: Zip3 f => f (a, b, c) -> (f a, f b, f c)
- unzip4 :: Zip4 f => f (a, b, c, d) -> (f a, f b, f c, f d)
- unzip5 :: Zip5 f => f (a, b, c, d, e) -> (f a, f b, f c, f d, f e)
- unzip6 :: Zip6 f => f (a, b, c, d, e, g) -> (f a, f b, f c, f d, f e, f g)
- unzip7 :: Zip7 f => f (a, b, c, d, e, g, h) -> (f a, f b, f c, f d, f e, f g, f h)
- zipWith :: Zip f => (a -> b -> c) -> f a -> f b -> f c
- zipWith3 :: Zip3 f => (a -> b -> c -> d) -> f a -> f b -> f c -> f d
- zipWith4 :: Zip4 f => (a -> b -> c -> d -> e) -> f a -> f b -> f c -> f d -> f e
- zipWith5 :: Zip5 f => (a -> b -> c -> d -> e -> g) -> f a -> f b -> f c -> f d -> f e -> f g
- zipWith6 :: Zip6 f => (a -> b -> c -> d -> e -> g -> h) -> f a -> f b -> f c -> f d -> f e -> f g -> f h
- zipWith7 :: Zip7 f => (a -> b -> c -> d -> e -> g -> h -> i) -> f a -> f b -> f c -> f d -> f e -> f g -> f h -> f i
- hashNub :: (Hashable a, Eq a) => [a] -> [a]
- ordNub :: Ord a => [a] -> [a]
- ordNubBy :: Ord b => (a -> b) -> (a -> a -> Bool) -> [a] -> [a]
- sortWith :: (Ord a, IsSequence c) => (Element c -> a) -> c -> c
- repeat :: a -> [a]
- (\\) :: SetContainer a => a -> a -> a
- intersect :: SetContainer a => a -> a -> a
- class Show a where
- tshow :: Show a => a -> Text
- tlshow :: Show a => a -> LText
- charToLower :: Char -> Char
- charToUpper :: Char -> Char
- readFile :: MonadIO m => FilePath -> m ByteString
- readFileUtf8 :: MonadIO m => FilePath -> m Text
- writeFile :: MonadIO m => FilePath -> ByteString -> m ()
- writeFileUtf8 :: MonadIO m => FilePath -> Text -> m ()
- hGetContents :: MonadIO m => Handle -> m ByteString
- hPut :: MonadIO m => Handle -> ByteString -> m ()
- hGetChunk :: MonadIO m => Handle -> m ByteString
- print :: (Show a, MonadIO m) => a -> m ()
- putChar :: MonadIO m => Char -> m ()
- putStr :: MonadIO m => Text -> m ()
- putStrLn :: MonadIO m => Text -> m ()
- getChar :: MonadIO m => m Char
- getLine :: MonadIO m => m Text
- getContents :: MonadIO m => m LText
- interact :: MonadIO m => (LText -> LText) -> m ()
- data DList a
- asDList :: DList a -> DList a
- applyDList :: DList a -> [a] -> [a]
- class NFData a where
- rnf :: a -> ()
- force :: NFData a => a -> a
- deepseq :: NFData a => a -> b -> b
- ($!!) :: NFData a => (a -> b) -> a -> b
- asByteString :: ByteString -> ByteString
- asLByteString :: LByteString -> LByteString
- asHashMap :: HashMap k v -> HashMap k v
- asHashSet :: HashSet a -> HashSet a
- asText :: Text -> Text
- asLText :: LText -> LText
- asList :: [a] -> [a]
- asMap :: Map k v -> Map k v
- asIntMap :: IntMap v -> IntMap v
- asMaybe :: Maybe a -> Maybe a
- asSet :: Set a -> Set a
- asIntSet :: IntSet -> IntSet
- asVector :: Vector a -> Vector a
- asUVector :: UVector a -> UVector a
- asSVector :: SVector a -> SVector a
- asString :: [Char] -> [Char]
CorePrelude
seq :: forall {r :: RuntimeRep} a (b :: TYPE r). a -> b -> b infixr 0 Source #
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.
($) :: forall (r :: RuntimeRep) a (b :: TYPE r). (a -> b) -> a -> b infixr 0 Source #
Application operator. This operator is redundant, since ordinary
application (f x) means the same as (f . However, $ x)$ 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) xszipWith ($) fs xs
Note that ( is levity-polymorphic in its result type, so that
$)foo where $ Truefoo :: Bool -> Int# is well-typed.
fromIntegral :: (Integral a, Num b) => a -> b Source #
general coercion from integral types
realToFrac :: (Real a, Fractional b) => a -> b Source #
general coercion to fractional types
class Bounded a where Source #
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.
Instances
| Bounded CBool | |
| Bounded CChar | |
| Bounded CInt | |
| Bounded CIntMax | |
| Bounded CIntPtr | |
| Bounded CLLong | |
| Bounded CLong | |
| Bounded CPtrdiff | |
| Bounded CSChar | |
| Bounded CShort | |
| Bounded CSigAtomic | |
Defined in Foreign.C.Types | |
| Bounded CSize | |
| Bounded CUChar | |
| Bounded CUInt | |
| Bounded CUIntMax | |
| Bounded CUIntPtr | |
| Bounded CULLong | |
| Bounded CULong | |
| Bounded CUShort | |
| Bounded CWchar | |
| Bounded IntPtr | |
| Bounded WordPtr | |
| Bounded Associativity | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Bounded DecidedStrictness | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Bounded SourceStrictness | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Bounded SourceUnpackedness | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Bounded Int16 | Since: base-2.1 |
| Bounded Int32 | Since: base-2.1 |
| Bounded Int64 | Since: base-2.1 |
| Bounded Int8 | Since: base-2.1 |
| Bounded GeneralCategory | Since: base-2.1 |
Defined in GHC.Unicode | |
| Bounded Word16 | Since: base-2.1 |
| Bounded Word32 | Since: base-2.1 |
| Bounded Word64 | Since: base-2.1 |
| Bounded Extension | |
| Bounded Ordering | Since: base-2.1 |
| Bounded Word8 | Since: base-2.1 |
| Bounded () | Since: base-2.1 |
| Bounded Bool | Since: base-2.1 |
| Bounded Char | Since: base-2.1 |
| Bounded Int | Since: base-2.1 |
| Bounded VecCount | Since: base-4.10.0.0 |
| Bounded VecElem | Since: base-4.10.0.0 |
| Bounded Word | Since: base-2.1 |
| Bounded a => Bounded (Identity a) | Since: base-4.9.0.0 |
| Bounded a => Bounded (Down a) | Swaps Since: base-4.14.0.0 |
| Bounded a => Bounded (First a) | Since: base-4.9.0.0 |
| Bounded a => Bounded (Last a) | Since: base-4.9.0.0 |
| Bounded a => Bounded (Max a) | Since: base-4.9.0.0 |
| Bounded a => Bounded (Min a) | Since: base-4.9.0.0 |
| Bounded m => Bounded (WrappedMonoid m) | Since: base-4.9.0.0 |
Defined in Data.Semigroup | |
| Bounded (Proxy t) | Since: base-4.7.0.0 |
| (Bounded a, Bounded b) => Bounded (a, b) | Since: base-2.1 |
| Bounded a => Bounded (Const a b) | Since: base-4.9.0.0 |
| Bounded b => Bounded (Tagged s b) | |
| (Bounded a, Bounded b, Bounded c) => Bounded (a, b, c) | Since: base-2.1 |
| (Bounded a, Bounded b, Bounded c, Bounded d) => Bounded (a, b, c, d) | Since: base-2.1 |
| (Bounded a, Bounded b, Bounded c, Bounded d, Bounded e) => Bounded (a, b, c, d, e) | Since: base-2.1 |
| (Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f) => Bounded (a, b, c, d, e, f) | Since: base-2.1 |
| (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 |
| (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 |
| (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 |
| (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 |
| (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 |
| (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 |
| (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 |
| (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 |
| (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 |
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
succmaxBoundpredminBound fromEnumandtoEnumshould give a runtime error if the result value is not representable in the result type. For example,toEnum7 ::BoolenumFromandenumFromThenshould 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 = minBoundMethods
the successor of a value. For numeric types, succ adds 1.
the predecessor of a value. For numeric types, pred subtracts 1.
Convert from an 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.
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] Source #
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] Source #
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] Source #
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
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:
Instances
| Eq AsyncCancelled | |
Defined in Control.Concurrent.Async Methods (==) :: AsyncCancelled -> AsyncCancelled -> Bool Source # (/=) :: AsyncCancelled -> AsyncCancelled -> Bool Source # | |
| Eq SomeTypeRep | |
Defined in Data.Typeable.Internal Methods (==) :: SomeTypeRep -> SomeTypeRep -> Bool Source # (/=) :: SomeTypeRep -> SomeTypeRep -> Bool Source # | |
| Eq Unique | |
| Eq Version | Since: base-2.1 |
| Eq Void | Since: base-4.8.0.0 |
| Eq CBool | |
| Eq CChar | |
| Eq CClock | |
| Eq CDouble | |
| Eq CFloat | |
| Eq CInt | |
| Eq CIntMax | |
| Eq CIntPtr | |
| Eq CLLong | |
| Eq CLong | |
| Eq CPtrdiff | |
| Eq CSChar | |
| Eq CSUSeconds | |
Defined in Foreign.C.Types Methods (==) :: CSUSeconds -> CSUSeconds -> Bool Source # (/=) :: CSUSeconds -> CSUSeconds -> Bool Source # | |
| Eq CShort | |
| Eq CSigAtomic | |
Defined in Foreign.C.Types Methods (==) :: CSigAtomic -> CSigAtomic -> Bool Source # (/=) :: CSigAtomic -> CSigAtomic -> Bool Source # | |
| Eq CSize | |
| Eq CTime | |
| Eq CUChar | |
| Eq CUInt | |
| Eq CUIntMax | |
| Eq CUIntPtr | |
| Eq CULLong | |
| Eq CULong | |
| Eq CUSeconds | |
| Eq CUShort | |
| Eq CWchar | |
| Eq IntPtr | |
| Eq WordPtr | |
| Eq BlockReason | Since: base-4.3.0.0 |
Defined in GHC.Conc.Sync Methods (==) :: BlockReason -> BlockReason -> Bool Source # (/=) :: BlockReason -> BlockReason -> Bool Source # | |
| Eq ThreadId | Since: base-4.2.0.0 |
| Eq ThreadStatus | Since: base-4.3.0.0 |
Defined in GHC.Conc.Sync Methods (==) :: ThreadStatus -> ThreadStatus -> Bool Source # (/=) :: ThreadStatus -> ThreadStatus -> Bool Source # | |
| Eq ArithException | Since: base-3.0 |
Defined in GHC.Exception.Type Methods (==) :: ArithException -> ArithException -> Bool Source # (/=) :: ArithException -> ArithException -> Bool Source # | |
| Eq SpecConstrAnnotation | Since: base-4.3.0.0 |
Defined in GHC.Exts Methods (==) :: SpecConstrAnnotation -> SpecConstrAnnotation -> Bool Source # (/=) :: SpecConstrAnnotation -> SpecConstrAnnotation -> Bool Source # | |
| Eq Fingerprint | Since: base-4.4.0.0 |
Defined in GHC.Fingerprint.Type Methods (==) :: Fingerprint -> Fingerprint -> Bool Source # (/=) :: Fingerprint -> Fingerprint -> Bool Source # | |
| Eq Associativity | Since: base-4.6.0.0 |
Defined in GHC.Generics Methods (==) :: Associativity -> Associativity -> Bool Source # (/=) :: Associativity -> Associativity -> Bool Source # | |
| Eq DecidedStrictness | Since: base-4.9.0.0 |
Defined in GHC.Generics Methods (==) :: DecidedStrictness -> DecidedStrictness -> Bool Source # (/=) :: DecidedStrictness -> DecidedStrictness -> Bool Source # | |
| Eq Fixity | Since: base-4.6.0.0 |
| Eq SourceStrictness | Since: base-4.9.0.0 |
Defined in GHC.Generics Methods (==) :: SourceStrictness -> SourceStrictness -> Bool Source # (/=) :: SourceStrictness -> SourceStrictness -> Bool Source # | |
| Eq SourceUnpackedness | Since: base-4.9.0.0 |
Defined in GHC.Generics Methods (==) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source # (/=) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source # | |
| Eq MaskingState | Since: base-4.3.0.0 |
Defined in GHC.IO Methods (==) :: MaskingState -> MaskingState -> Bool Source # (/=) :: MaskingState -> MaskingState -> Bool Source # | |
| Eq IODeviceType | Since: base-4.2.0.0 |
Defined in GHC.IO.Device Methods (==) :: IODeviceType -> IODeviceType -> Bool Source # (/=) :: IODeviceType -> IODeviceType -> Bool Source # | |
| Eq SeekMode | Since: base-4.2.0.0 |
| Eq ArrayException | Since: base-4.2.0.0 |
Defined in GHC.IO.Exception Methods (==) :: ArrayException -> ArrayException -> Bool Source # (/=) :: ArrayException -> ArrayException -> Bool Source # | |
| Eq AsyncException | Since: base-4.2.0.0 |
Defined in GHC.IO.Exception Methods (==) :: AsyncException -> AsyncException -> Bool Source # (/=) :: AsyncException -> AsyncException -> Bool Source # | |
| Eq ExitCode | |
| Eq IOErrorType | Since: base-4.1.0.0 |
Defined in GHC.IO.Exception Methods (==) :: IOErrorType -> IOErrorType -> Bool Source # (/=) :: IOErrorType -> IOErrorType -> Bool Source # | |
| Eq IOException | Since: base-4.1.0.0 |
Defined in GHC.IO.Exception Methods (==) :: IOException -> IOException -> Bool Source # (/=) :: IOException -> IOException -> Bool Source # | |
| Eq BufferMode | Since: base-4.2.0.0 |
Defined in GHC.IO.Handle.Types Methods (==) :: BufferMode -> BufferMode -> Bool Source # (/=) :: BufferMode -> BufferMode -> Bool Source # | |
| Eq Handle | Since: base-4.1.0.0 |
| Eq Newline | Since: base-4.2.0.0 |
| Eq NewlineMode | Since: base-4.2.0.0 |
Defined in GHC.IO.Handle.Types Methods (==) :: NewlineMode -> NewlineMode -> Bool Source # (/=) :: NewlineMode -> NewlineMode -> Bool Source # | |
| Eq IOMode | Since: base-4.2.0.0 |
| Eq Int16 | Since: base-2.1 |
| Eq Int32 | Since: base-2.1 |
| Eq Int64 | Since: base-2.1 |
| Eq Int8 | Since: base-2.1 |
| Eq SrcLoc | Since: base-4.9.0.0 |
| Eq GeneralCategory | Since: base-2.1 |
Defined in GHC.Unicode Methods (==) :: GeneralCategory -> GeneralCategory -> Bool Source # (/=) :: GeneralCategory -> GeneralCategory -> Bool Source # | |
| Eq Word16 | Since: base-2.1 |
| Eq Word32 | Since: base-2.1 |
| Eq Word64 | Since: base-2.1 |
| Eq ByteString | |
Defined in Data.ByteString.Internal Methods (==) :: ByteString -> ByteString -> Bool Source # (/=) :: ByteString -> ByteString -> Bool Source # | |
| Eq ByteString | |
Defined in Data.ByteString.Lazy.Internal Methods (==) :: ByteString -> ByteString -> Bool Source # (/=) :: ByteString -> ByteString -> Bool Source # | |
| Eq ShortByteString | |
Defined in Data.ByteString.Short.Internal Methods (==) :: ShortByteString -> ShortByteString -> Bool Source # (/=) :: ShortByteString -> ShortByteString -> Bool Source # | |
| Eq IntSet | |
| Eq Relation | |
| Eq BigNat | |
| Eq ForeignSrcLang | |
Defined in GHC.ForeignSrcLang.Type Methods (==) :: ForeignSrcLang -> ForeignSrcLang -> Bool Source # (/=) :: ForeignSrcLang -> ForeignSrcLang -> Bool Source # | |
| Eq Extension | |
| Eq Module | |
| Eq Ordering | |
| Eq TrName | |
| Eq TyCon | |
| Eq Mode | |
| Eq Style | |
| Eq TextDetails | |
Defined in Text.PrettyPrint.Annotated.HughesPJ Methods (==) :: TextDetails -> TextDetails -> Bool Source # (/=) :: TextDetails -> TextDetails -> Bool Source # | |
| Eq Doc | |
| Eq ByteArray | Since: primitive-0.6.3.0 |
| Eq AnnLookup | |
| Eq AnnTarget | |
| Eq Bang | |
| Eq Body | |
| Eq Bytes | |
| Eq Callconv | |
| Eq Clause | |
| Eq Con | |
| Eq Dec | |
| Eq DecidedStrictness | |
Defined in Language.Haskell.TH.Syntax Methods (==) :: DecidedStrictness -> DecidedStrictness -> Bool Source # (/=) :: DecidedStrictness -> DecidedStrictness -> Bool Source # | |
| Eq DerivClause | |
Defined in Language.Haskell.TH.Syntax Methods (==) :: DerivClause -> DerivClause -> Bool Source # (/=) :: DerivClause -> DerivClause -> Bool Source # | |
| Eq DerivStrategy | |
Defined in Language.Haskell.TH.Syntax Methods (==) :: DerivStrategy -> DerivStrategy -> Bool Source # (/=) :: DerivStrategy -> DerivStrategy -> Bool Source # | |
| Eq Exp | |
| Eq FamilyResultSig | |
Defined in Language.Haskell.TH.Syntax Methods (==) :: FamilyResultSig -> FamilyResultSig -> Bool Source # (/=) :: FamilyResultSig -> FamilyResultSig -> Bool Source # | |
| Eq Fixity | |
| Eq FixityDirection | |
Defined in Language.Haskell.TH.Syntax Methods (==) :: FixityDirection -> FixityDirection -> Bool Source # (/=) :: FixityDirection -> FixityDirection -> Bool Source # | |
| Eq Foreign | |
| Eq FunDep | |
| Eq Guard | |
| Eq Info | |
| Eq InjectivityAnn | |
Defined in Language.Haskell.TH.Syntax Methods (==) :: InjectivityAnn -> InjectivityAnn -> Bool Source # (/=) :: InjectivityAnn -> InjectivityAnn -> Bool Source # | |
| Eq Inline | |
| Eq Lit | |
| Eq Loc | |
| Eq Match | |
| Eq ModName | |
| Eq Module | |
| Eq ModuleInfo | |
Defined in Language.Haskell.TH.Syntax Methods (==) :: ModuleInfo -> ModuleInfo -> Bool Source # (/=) :: ModuleInfo -> ModuleInfo -> Bool Source # | |
| Eq Name | |
| Eq NameFlavour | |
Defined in Language.Haskell.TH.Syntax Methods (==) :: NameFlavour -> NameFlavour -> Bool Source # (/=) :: NameFlavour -> NameFlavour -> Bool Source # | |
| Eq NameSpace | |
| Eq OccName | |
| Eq Overlap | |
| Eq Pat | |
| Eq PatSynArgs | |
Defined in Language.Haskell.TH.Syntax Methods (==) :: PatSynArgs -> PatSynArgs -> Bool Source # (/=) :: PatSynArgs -> PatSynArgs -> Bool Source # | |
| Eq PatSynDir | |
| Eq Phases | |
| Eq PkgName | |
| Eq Pragma | |
| Eq Range | |
| Eq Role | |
| Eq RuleBndr | |
| Eq RuleMatch | |
| Eq Safety | |
| Eq SourceStrictness | |
Defined in Language.Haskell.TH.Syntax Methods (==) :: SourceStrictness -> SourceStrictness -> Bool Source # (/=) :: SourceStrictness -> SourceStrictness -> Bool Source # | |
| Eq SourceUnpackedness | |
Defined in Language.Haskell.TH.Syntax Methods (==) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source # (/=) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source # | |
| Eq Specificity | |
Defined in Language.Haskell.TH.Syntax Methods (==) :: Specificity -> Specificity -> Bool Source # (/=) :: Specificity -> Specificity -> Bool Source # | |
| Eq Stmt | |
| Eq TyLit | |
| Eq TySynEqn | |
| Eq Type | |
| Eq TypeFamilyHead | |
Defined in Language.Haskell.TH.Syntax Methods (==) :: TypeFamilyHead -> TypeFamilyHead -> Bool Source # (/=) :: TypeFamilyHead -> TypeFamilyHead -> Bool Source # | |
| Eq Day | |
| Eq DiffTime | |
| Eq UTCTime | |
| Eq TimeLocale | |
Defined in Data.Time.Format.Locale Methods (==) :: TimeLocale -> TimeLocale -> Bool Source # (/=) :: TimeLocale -> TimeLocale -> Bool Source # | |
| Eq LocalTime | |
| Eq StringException | Since: unliftio-0.2.19 |
Defined in UnliftIO.Exception Methods (==) :: StringException -> StringException -> Bool Source # (/=) :: StringException -> StringException -> Bool Source # | |
| Eq ConcException | |
Defined in UnliftIO.Internals.Async Methods (==) :: ConcException -> ConcException -> Bool Source # (/=) :: ConcException -> ConcException -> Bool Source # | |
| Eq Word8 | Since: base-2.1 |
| Eq Integer | |
| Eq Natural | |
| Eq () | |
| Eq Bool | |
| Eq Char | |
| Eq Double | Note that due to the presence of
Also note that
|
| Eq Float | Note that due to the presence of
Also note that
|
| Eq Int | |
| Eq Word | |
| Eq (Async a) | |
| Eq a => Eq (ZipList a) | Since: base-4.7.0.0 |
| Eq (Chan a) | Since: base-4.4.0.0 |
| Eq a => Eq (Complex a) | Since: base-2.1 |
| Eq a => Eq (Identity a) | Since: base-4.8.0.0 |
| Eq a => Eq (Down a) | Since: base-4.6.0.0 |
| Eq a => Eq (First a) | Since: base-4.9.0.0 |
| Eq a => Eq (Last a) | Since: base-4.9.0.0 |
| Eq a => Eq (Max a) | Since: base-4.9.0.0 |
| Eq a => Eq (Min a) | Since: base-4.9.0.0 |
| Eq a => Eq (Option a) | Since: base-4.9.0.0 |
| Eq m => Eq (WrappedMonoid m) | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods (==) :: WrappedMonoid m -> WrappedMonoid m -> Bool Source # (/=) :: WrappedMonoid m -> WrappedMonoid m -> Bool Source # | |
| Eq a => Eq (NonEmpty a) | Since: base-4.9.0.0 |
| Eq (TVar a) | Since: base-4.8.0.0 |
| Eq (ForeignPtr a) | Since: base-2.1 |
Defined in GHC.ForeignPtr Methods (==) :: ForeignPtr a -> ForeignPtr a -> Bool Source # (/=) :: ForeignPtr a -> ForeignPtr a -> Bool Source # | |
| Eq p => Eq (Par1 p) | Since: base-4.7.0.0 |
| Eq (IORef a) | Pointer equality. Since: base-4.0.0.0 |
| Eq (MVar a) | Since: base-4.1.0.0 |
| Eq (FunPtr a) | |
| Eq (Ptr a) | Since: base-2.1 |
| Eq a => Eq (Ratio a) | Since: base-2.1 |
| Eq (StableName a) | Since: base-2.1 |
Defined in GHC.StableName Methods (==) :: StableName a -> StableName a -> Bool Source # (/=) :: StableName a -> StableName a -> Bool Source # | |
| Eq a => Eq (IntMap a) | |
| Eq a => Eq (Seq a) | |
| Eq a => Eq (ViewL a) | |
| Eq a => Eq (ViewR a) | |
| Eq a => Eq (Set a) | |
| Eq a => Eq (Tree a) | |
| Eq a => Eq (DList a) | |
| Eq a => Eq (Hashed a) | Uses precomputed hash to detect inequality faster |
| Eq mono => Eq (NonNull mono) | |
| Eq a => Eq (AnnotDetails a) | |
Defined in Text.PrettyPrint.Annotated.HughesPJ Methods (==) :: AnnotDetails a -> AnnotDetails a -> Bool Source # (/=) :: AnnotDetails a -> AnnotDetails a -> Bool Source # | |
| Eq (Doc a) | |
| Eq a => Eq (Span a) | |
| Eq a => Eq (Array a) | |
| Eq (MutableByteArray s) | |
Defined in Data.Primitive.ByteArray Methods (==) :: MutableByteArray s -> MutableByteArray s -> Bool Source # (/=) :: MutableByteArray s -> MutableByteArray s -> Bool Source # | |
| (Eq a, Prim a) => Eq (PrimArray a) | Since: primitive-0.6.4.0 |
| Eq a => Eq (SmallArray a) | |
Defined in Data.Primitive.SmallArray Methods (==) :: SmallArray a -> SmallArray a -> Bool Source # (/=) :: SmallArray a -> SmallArray a -> Bool Source # | |
| Eq (TBQueue a) | |
| Eq (TChan a) | |
| Eq (TMVar a) | |
| Eq (TQueue a) | |
| Eq flag => Eq (TyVarBndr flag) | |
| Eq a => Eq (HashSet a) | Note that, in the presence of hash collisions, equal
In general, the lack of substitutivity can be observed with any function that depends on the key ordering, such as folds and traversals. |
| Eq a => Eq (Vector a) | |
| (Prim a, Eq a) => Eq (Vector a) | |
| (Storable a, Eq a) => Eq (Vector a) | |
| Eq a => Eq (Maybe a) | Since: base-2.1 |
| Eq a => Eq [a] | |
| (Eq a, Eq b) => Eq (Either a b) | Since: base-2.1 |
| Eq (Fixed a) | Since: base-2.1 |
| Eq (Proxy s) | Since: base-4.7.0.0 |
| Eq a => Eq (Arg a b) | Since: base-4.9.0.0 |
| Eq (TypeRep a) | Since: base-2.1 |
| Eq (U1 p) | Since: base-4.9.0.0 |
| Eq (V1 p) | Since: base-4.9.0.0 |
| Eq (STRef s a) | Pointer equality. Since: base-2.1 |
| (Eq k, Eq a) => Eq (Map k a) | |
| (Eq1 f, Eq a) => Eq (Cofree f a) | |
| (Eq1 f, Eq a) => Eq (Free f a) | |
| Eq (MutableArray s a) | |
Defined in Data.Primitive.Array Methods (==) :: MutableArray s a -> MutableArray s a -> Bool Source # (/=) :: MutableArray s a -> MutableArray s a -> Bool Source # | |
| Eq (MutVar s a) | |
| Eq (MutablePrimArray s a) | |
Defined in Data.Primitive.PrimArray Methods (==) :: MutablePrimArray s a -> MutablePrimArray s a -> Bool Source # (/=) :: MutablePrimArray s a -> MutablePrimArray s a -> Bool Source # | |
| Eq (SmallMutableArray s a) | |
Defined in Data.Primitive.SmallArray Methods (==) :: SmallMutableArray s a -> SmallMutableArray s a -> Bool Source # (/=) :: SmallMutableArray s a -> SmallMutableArray s a -> Bool Source # | |
| (Eq1 m, Eq a) => Eq (ListT m a) | |
| (Eq1 m, Eq a) => Eq (MaybeT m a) | |
| (Eq k, Eq v) => Eq (HashMap k v) | Note that, in the presence of hash collisions, equal
In general, the lack of substitutivity can be observed with any function that depends on the key ordering, such as folds and traversals. |
| (Eq k, Eq v) => Eq (Leaf k v) | |
| (Eq a, Eq b) => Eq (a, b) | |
| Eq a => Eq (Const a b) | Since: base-4.9.0.0 |
| Eq (f p) => Eq (Rec1 f p) | Since: base-4.7.0.0 |
| Eq (URec (Ptr ()) p) | Since: base-4.9.0.0 |
| Eq (URec Char p) | Since: base-4.9.0.0 |
| Eq (URec Double p) | Since: base-4.9.0.0 |
| Eq (URec Float p) | |
| Eq (URec Int p) | Since: base-4.9.0.0 |
| Eq (URec Word p) | Since: base-4.9.0.0 |
| Eq (p a a) => Eq (Join p a) | |
| (Eq a, Eq (f b)) => Eq (FreeF f a b) | |
| (Eq1 f, Eq1 m, Eq a) => Eq (FreeT f m a) | |
| Eq b => Eq (Tagged s b) | |
| (Eq e, Eq1 m, Eq a) => Eq (ErrorT e m a) | |
| (Eq1 f, Eq a) => Eq (IdentityT f a) | |
| (Eq w, Eq1 m, Eq a) => Eq (WriterT w m a) | |
| (Eq w, Eq1 m, Eq a) => Eq (WriterT w m a) | |
| (Eq a, Eq b, Eq c) => Eq (a, b, c) | |
| (Eq1 f, Eq1 g, Eq a) => Eq (Product f g a) | Since: base-4.9.0.0 |
| (Eq1 f, Eq1 g, Eq a) => Eq (Sum f g a) | Since: base-4.9.0.0 |
| (Eq (f p), Eq (g p)) => Eq ((f :*: g) p) | Since: base-4.7.0.0 |
| (Eq (f p), Eq (g p)) => Eq ((f :+: g) p) | Since: base-4.7.0.0 |
| Eq c => Eq (K1 i c p) | Since: base-4.7.0.0 |
| (Eq a, Eq b, Eq c, Eq d) => Eq (a, b, c, d) | |
| (Eq1 f, Eq1 g, Eq a) => Eq (Compose f g a) | Since: base-4.9.0.0 |
| Eq (f (g p)) => Eq ((f :.: g) p) | Since: base-4.7.0.0 |
| Eq (f p) => Eq (M1 i c f p) | Since: base-4.7.0.0 |
| Eq (f a) => Eq (Clown f a b) | |
| Eq (p b a) => Eq (Flip p a b) | |
| Eq (g b) => Eq (Joker g a b) | |
| Eq (p a b) => Eq (WrappedBifunctor p a b) | |
Defined in Data.Bifunctor.Wrapped Methods (==) :: WrappedBifunctor p a b -> WrappedBifunctor p a b -> Bool Source # (/=) :: WrappedBifunctor p a b -> WrappedBifunctor p a b -> Bool Source # | |
| (Eq a, Eq b, Eq c, Eq d, Eq e) => Eq (a, b, c, d, e) | |
| (Eq (f a b), Eq (g a b)) => Eq (Product f g a b) | |
| (Eq (p a b), Eq (q a b)) => Eq (Sum p q a b) | |
| (Eq a, Eq b, Eq c, Eq d, Eq e, Eq f) => Eq (a, b, c, d, e, f) | |
| Eq (f (p a b)) => Eq (Tannen f p a b) | |
| (Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g) => Eq (a, b, c, d, e, f, g) | |
| (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) | |
| Eq (p (f a) (g b)) => Eq (Biff p f g a b) | |
| (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) | |
| (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) | |
| (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) | |
| (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) | |
| (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) | |
| (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) | |
| (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) | |
class Fractional a => Floating a where Source #
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 bexp (fromInteger 0)=fromInteger 1
Minimal complete definition
pi, exp, log, sin, cos, asin, acos, atan, sinh, cosh, asinh, acosh, atanh
Instances
class Num a => Fractional a where Source #
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:*)
recipgives the multiplicative inversex * 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 Source #
Fractional division.
Reciprocal fraction.
fromRational :: Rational -> a Source #
Conversion from a Rational (that is Ratio IntegerfromRational
to a value of type Rational, so such literals have type
(.Fractional a) => a
Instances
| Fractional CDouble | |
| Fractional CFloat | |
| Fractional DiffTime | |
| RealFloat a => Fractional (Complex a) | Since: base-2.1 |
| Fractional a => Fractional (Identity a) | Since: base-4.9.0.0 |
| Fractional a => Fractional (Down a) | Since: base-4.14.0.0 |
| Integral a => Fractional (Ratio a) | Since: base-2.0.1 |
| HasResolution a => Fractional (Fixed a) | Since: base-2.1 |
| Fractional a => Fractional (Const a b) | Since: base-4.9.0.0 |
| Fractional a => Fractional (Tagged s a) | |
class (Real a, Enum a) => Integral a where Source #
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 ywithrem x y=fromInteger 0org (rem x y)<g yx=y * div x y + mod x ywithmod x y=fromInteger 0orf (mod x y)<f y
An example of a suitable Euclidean function, for Integer's instance, is
abs.
Methods
quot :: a -> a -> a infixl 7 Source #
integer division truncated toward zero
rem :: a -> a -> a infixl 7 Source #
integer remainder, satisfying
(x `quot` y)*y + (x `rem` y) == x
div :: a -> a -> a infixl 7 Source #
integer division truncated toward negative infinity
mod :: a -> a -> a infixl 7 Source #
integer modulus, satisfying
(x `div` y)*y + (x `mod` y) == x
quotRem :: a -> a -> (a, a) Source #
divMod :: a -> a -> (a, a) Source #
toInteger :: a -> Integer Source #
conversion to Integer
Instances
class Applicative m => Monad (m :: Type -> Type) where Source #
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:
- Left identity
returna>>=k = k a- Right identity
m>>=return= m- Associativity
m>>=(\x -> k x>>=h) = (m>>=k)>>=h
Furthermore, the Monad and Applicative operations should relate as follows:
The above laws imply:
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 Source #
Sequentially compose two actions, passing any value produced by the first as an argument to the second.
'as ' can be understood as the >>= bsdo expression
do a <- as bs a
(>>) :: m a -> m b -> m b infixl 1 Source #
Sequentially compose two actions, discarding any value produced by the first, like sequencing operators (such as the semicolon) in imperative languages.
'as ' can be understood as the >> bsdo expression
do as bs
Inject a value into the monadic type.
Instances
| Monad Complex | Since: base-4.9.0.0 |
| Monad Identity | Since: base-4.8.0.0 |
| Monad Down | Since: base-4.11.0.0 |
| Monad First | Since: base-4.9.0.0 |
| Monad Last | Since: base-4.9.0.0 |
| Monad Max | Since: base-4.9.0.0 |
| Monad Min | Since: base-4.9.0.0 |
| Monad Option | Since: base-4.9.0.0 |
| Monad NonEmpty | Since: base-4.9.0.0 |
| Monad STM | Since: base-4.3.0.0 |
| Monad Par1 | Since: base-4.9.0.0 |
| Monad P | Since: base-2.1 |
| Monad ReadP | Since: base-2.1 |
| Monad Seq | |
| Monad Tree | |
| Monad DList | |
| Monad IO | Since: base-2.1 |
| Monad Array | |
| Monad SmallArray | |
Defined in Data.Primitive.SmallArray Methods (>>=) :: SmallArray a -> (a -> SmallArray b) -> SmallArray b Source # (>>) :: SmallArray a -> SmallArray b -> SmallArray b Source # return :: a -> SmallArray a Source # | |
| Monad Q | |
| Monad Memoized | |
| Monad Vector | |
| Monad Box | |
| Monad Id | |
| Monad Maybe | Since: base-2.1 |
| Monad Solo | Since: base-4.15 |
| Monad [] | Since: base-2.1 |
| Representable f => Monad (Co f) | |
| Monad m => Monad (WrappedMonad m) | Since: base-4.7.0.0 |
Defined in Control.Applicative Methods (>>=) :: WrappedMonad m a -> (a -> WrappedMonad m b) -> WrappedMonad m b Source # (>>) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m b Source # return :: a -> WrappedMonad m a Source # | |
| ArrowApply a => Monad (ArrowMonad a) | Since: base-2.1 |
Defined in Control.Arrow Methods (>>=) :: ArrowMonad a a0 -> (a0 -> ArrowMonad a b) -> ArrowMonad a b Source # (>>) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a b Source # return :: a0 -> ArrowMonad a a0 Source # | |
| Monad (Either e) | Since: base-4.4.0.0 |
| Monad (Proxy :: Type -> Type) | Since: base-4.7.0.0 |
| Monad (U1 :: Type -> Type) | Since: base-4.9.0.0 |
| Monad (ST s) | Since: base-2.1 |
| Alternative f => Monad (Cofree f) | |
| Functor f => Monad (Free f) | |
| Monad f => Monad (WrappedPoly f) | |
Defined in Data.MonoTraversable Methods (>>=) :: WrappedPoly f a -> (a -> WrappedPoly f b) -> WrappedPoly f b Source # (>>) :: WrappedPoly f a -> WrappedPoly f b -> WrappedPoly f b Source # return :: a -> WrappedPoly f a Source # | |
| Monad m => Monad (ListT m) | |
| Monad m => Monad (MaybeT m) | |
| Monoid a => Monad ((,) a) | Since: base-4.9.0.0 |
| Monad m => Monad (Kleisli m a) | Since: base-4.14.0.0 |
| Monad f => Monad (Rec1 f) | Since: base-4.9.0.0 |
| (Applicative f, Monad f) => Monad (WhenMissing f x) | Equivalent to Since: containers-0.5.9 |
Defined in Data.IntMap.Internal Methods (>>=) :: WhenMissing f x a -> (a -> WhenMissing f x b) -> WhenMissing f x b Source # (>>) :: WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x b Source # return :: a -> WhenMissing f x a Source # | |
| (Functor f, Monad m) => Monad (FreeT f m) | |
| (Monad (Rep p), Representable p) => Monad (Prep p) | |
| Monad (Tagged s) | |
| (Monad m, Error e) => Monad (ErrorT e m) | |
| Monad m => Monad (IdentityT m) | |
| Monad m => Monad (ReaderT r m) | |
| Monad m => Monad (StateT s m) | |
| Monad m => Monad (StateT s m) | |
| (Monoid w, Monad m) => Monad (WriterT w m) | |
| (Monoid w, Monad m) => Monad (WriterT w m) | |
| (Monoid a, Monoid b) => Monad ((,,) a b) | Since: base-4.14.0.0 |
| (Monad f, Monad g) => Monad (Product f g) | Since: base-4.9.0.0 |
| (Monad f, Monad g) => Monad (f :*: g) | Since: base-4.9.0.0 |
| Monad (Cokleisli w a) | |
| (Monad f, Applicative f) => Monad (WhenMatched f x y) | Equivalent to Since: containers-0.5.9 |
Defined in Data.IntMap.Internal Methods (>>=) :: WhenMatched f x y a -> (a -> WhenMatched f x y b) -> WhenMatched f x y b Source # (>>) :: WhenMatched f x y a -> WhenMatched f x y b -> WhenMatched f x y b Source # return :: a -> WhenMatched f x y a Source # | |
| (Applicative f, Monad f) => Monad (WhenMissing f k x) | Equivalent to Since: containers-0.5.9 |
Defined in Data.Map.Internal Methods (>>=) :: WhenMissing f k x a -> (a -> WhenMissing f k x b) -> WhenMissing f k x b Source # (>>) :: WhenMissing f k x a -> WhenMissing f k x b -> WhenMissing f k x b Source # return :: a -> WhenMissing f k x a Source # | |
| Monad (ContT r m) | |
| (Monoid a, Monoid b, Monoid c) => Monad ((,,,) a b c) | Since: base-4.14.0.0 |
| Monad ((->) r) | Since: base-2.1 |
| Monad f => Monad (M1 i c f) | Since: base-4.9.0.0 |
| (Monad f, Applicative f) => Monad (WhenMatched f k x y) | Equivalent to Since: containers-0.5.9 |
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 Source # (>>) :: WhenMatched f k x y a -> WhenMatched f k x y b -> WhenMatched f k x y b Source # return :: a -> WhenMatched f k x y a Source # | |
| (Monoid w, Monad m) => Monad (RWST r w s m) | |
| (Monoid w, Monad m) => Monad (RWST r w s m) | |
class Functor (f :: Type -> Type) where Source #
A type f is a Functor if it provides a function fmap which, given any types a and b
lets you apply any function from (a -> b) to turn an f a into an f b, preserving the
structure of f. Furthermore f needs to adhere to the following:
Note, that the second law follows from the free theorem of the type fmap and
the first law, so you need only check that the former condition holds.
Minimal complete definition
Methods
fmap :: (a -> b) -> f a -> f b Source #
fmap is used to apply a function of type (a -> b) to a value of type f a,
where f is a functor, to produce a value of type f b.
Note that for any type constructor with more than one parameter (e.g., Either),
only the last type parameter can be modified with fmap (e.g., b in `Either a b`).
Some type constructors with two parameters or more have a Bifunctor
Convert from a Maybe IntMaybe String
using show:
>>>fmap show NothingNothing>>>fmap show (Just 3)Just "3"
Convert from an Either Int IntEither Int String using show:
>>>fmap show (Left 17)Left 17>>>fmap show (Right 17)Right "17"
Double each element of a list:
>>>fmap (*2) [1,2,3][2,4,6]
Apply even to the second element of a pair:
>>>fmap even (2,2)(2,True)
It may seem surprising that the function is only applied to the last element of the tuple
compared to the list example above which applies it to every element in the list.
To understand, remember that tuples are type constructors with multiple type parameters:
a tuple of 3 elements `(a,b,c)` can also be written `(,,) a b c` and its Functor instance
is defined for `Functor ((,,) a b)` (i.e., only the third parameter is free to be mapped over
with fmap).
It explains why fmap can be used with tuples containing values of different types as in the
following example:
>>>fmap even ("hello", 1.0, 4)("hello",1.0,True)
Instances
| Functor Async | |
| Functor Concurrently | |
Defined in Control.Concurrent.Async Methods fmap :: (a -> b) -> Concurrently a -> Concurrently b Source # (<$) :: a -> Concurrently b -> Concurrently a Source # | |
| Functor ZipList | Since: base-2.1 |
| Functor Handler | Since: base-4.6.0.0 |
| Functor Complex | Since: base-4.9.0.0 |
| Functor Identity | Since: base-4.8.0.0 |
| Functor Down | Since: base-4.11.0.0 |
| Functor First | Since: base-4.9.0.0 |
| Functor Last | Since: base-4.9.0.0 |
| Functor Max | Since: base-4.9.0.0 |
| Functor Min | Since: base-4.9.0.0 |
| Functor Option | Since: base-4.9.0.0 |
| Functor NonEmpty | Since: base-4.9.0.0 |
| Functor STM | Since: base-4.3.0.0 |
| Functor Par1 | Since: base-4.9.0.0 |
| Functor P | Since: base-4.8.0.0 |
| Functor ReadP | Since: base-2.1 |
| Functor IntMap | |
| Functor Digit | |
| Functor Elem | |
| Functor FingerTree | |
Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> FingerTree a -> FingerTree b Source # (<$) :: a -> FingerTree b -> FingerTree a Source # | |
| Functor Node | |
| Functor Seq | |
| Functor ViewL | |
| Functor ViewR | |
| Functor Tree | |
| Functor DList | |
| Functor IO | Since: base-2.1 |
| Functor AnnotDetails | |
Defined in Text.PrettyPrint.Annotated.HughesPJ Methods fmap :: (a -> b) -> AnnotDetails a -> AnnotDetails b Source # (<$) :: a -> AnnotDetails b -> AnnotDetails a Source # | |
| Functor Doc | |
| Functor Span | |
| Functor Array | |
| Functor SmallArray | |
Defined in Data.Primitive.SmallArray Methods fmap :: (a -> b) -> SmallArray a -> SmallArray b Source # (<$) :: a -> SmallArray b -> SmallArray a Source # | |
| Functor Q | |
| Functor TyVarBndr | |
| Functor Flat | |
| Functor FlatApp | |
| Functor Memoized | |
| Functor Vector | |
| Functor Box | |
| Functor Id | |
| Functor Maybe | Since: base-2.1 |
| Functor Solo | Since: base-4.15 |
| Functor [] | Since: base-2.1 |
| Functor f => Functor (Co f) | |
| Monad m => Functor (WrappedMonad m) | Since: base-2.1 |
Defined in Control.Applicative Methods fmap :: (a -> b) -> WrappedMonad m a -> WrappedMonad m b Source # (<$) :: a -> WrappedMonad m b -> WrappedMonad m a Source # | |
| Arrow a => Functor (ArrowMonad a) | Since: base-4.6.0.0 |
Defined in Control.Arrow Methods fmap :: (a0 -> b) -> ArrowMonad a a0 -> ArrowMonad a b Source # (<$) :: a0 -> ArrowMonad a b -> ArrowMonad a a0 Source # | |
| Functor (Either a) | Since: base-3.0 |
| Functor (Proxy :: Type -> Type) | Since: base-4.7.0.0 |
| Functor (Arg a) | Since: base-4.9.0.0 |
| Functor (U1 :: Type -> Type) | Since: base-4.9.0.0 |
| Functor (V1 :: Type -> Type) | Since: base-4.9.0.0 |
| Functor (ST s) | Since: base-2.1 |
| Functor (Map k) | |
| Functor f => Functor (Cofree f) | |
| Functor f => Functor (Free f) | |
| Functor f => Functor (Act f) | |
| Functor (StateL s) | |
| Functor (StateR s) | |
| Functor f => Functor (WrappedPoly f) | |
Defined in Data.MonoTraversable Methods fmap :: (a -> b) -> WrappedPoly f a -> WrappedPoly f b Source # (<$) :: a -> WrappedPoly f b -> WrappedPoly f a Source # | |
| Functor f => Functor (MaybeApply f) | |
| Functor f => Functor (WrappedApplicative f) | |
| Functor m => Functor (ListT m) | |
| Functor m => Functor (MaybeT m) | |
| Functor m => Functor (Conc m) | |
| Monad m => Functor (Concurrently m) | Since: unliftio-0.1.0.0 |
Defined in UnliftIO.Internals.Async Methods fmap :: (a -> b) -> Concurrently m a -> Concurrently m b Source # (<$) :: a -> Concurrently m b -> Concurrently m a Source # | |
| Functor (HashMap k) | |
| Functor ((,) a) | Since: base-2.1 |
| Arrow a => Functor (WrappedArrow a b) | Since: base-2.1 |
Defined in Control.Applicative Methods fmap :: (a0 -> b0) -> WrappedArrow a b a0 -> WrappedArrow a b b0 Source # (<$) :: a0 -> WrappedArrow a b b0 -> WrappedArrow a b a0 Source # | |
| Functor m => Functor (Kleisli m a) | Since: base-4.14.0.0 |
| Functor (Const m :: Type -> Type) | Since: base-2.1 |
| Functor f => Functor (Rec1 f) | Since: base-4.9.0.0 |
| Functor (URec (Ptr ()) :: Type -> Type) | Since: base-4.9.0.0 |
| Functor (URec Char :: Type -> Type) | Since: base-4.9.0.0 |
| Functor (URec Double :: Type -> Type) | Since: base-4.9.0.0 |
| Functor (URec Float :: Type -> Type) | Since: base-4.9.0.0 |
| Functor (URec Int :: Type -> Type) | Since: base-4.9.0.0 |
| Functor (URec Word :: Type -> Type) | Since: base-4.9.0.0 |
| Bifunctor p => Functor (Join p) | |
| Functor w => Functor (EnvT e w) | |
| Functor w => Functor (StoreT s w) | |
| Functor w => Functor (TracedT m w) | |
| (Applicative f, Monad f) => Functor (WhenMissing f x) | Since: containers-0.5.9 |
Defined in Data.IntMap.Internal Methods fmap :: (a -> b) -> WhenMissing f x a -> WhenMissing f x b Source # (<$) :: a -> WhenMissing f x b -> WhenMissing f x a Source # | |
| Functor f => Functor (FreeF f a) | |
| (Functor f, Monad m) => Functor (FreeT f m) | |
| Functor (Day f g) | |
| Profunctor p => Functor (Coprep p) | |
| Profunctor p => Functor (Prep p) | |
| Functor f => Functor (Static f a) | |
| Functor (Tagged s) | |
| Functor m => Functor (ErrorT e m) | |
| Functor m => Functor (IdentityT m) | |
| Functor m => Functor (ReaderT r m) | |
| Functor m => Functor (StateT s m) | |
| Functor m => Functor (StateT s m) | |
| Functor m => Functor (WriterT w m) | |
| Functor m => Functor (WriterT w m) | |
| Monad m => Functor (Bundle m v) | |
| Functor ((,,) a b) | Since: base-4.14.0.0 |
| (Functor f, Functor g) => Functor (Product f g) | Since: base-4.9.0.0 |
| (Functor f, Functor g) => Functor (Sum f g) | Since: base-4.9.0.0 |
| (Functor f, Functor g) => Functor (f :*: g) | Since: base-4.9.0.0 |
| (Functor f, Functor g) => Functor (f :+: g) | Since: base-4.9.0.0 |
| Functor (K1 i c :: Type -> Type) | Since: base-4.9.0.0 |
| Functor (Cokleisli w a) | |
| Functor f => Functor (WhenMatched f x y) | Since: containers-0.5.9 |
Defined in Data.IntMap.Internal Methods fmap :: (a -> b) -> WhenMatched f x y a -> WhenMatched f x y b Source # (<$) :: a -> WhenMatched f x y b -> WhenMatched f x y a Source # | |
| (Applicative f, Monad f) => Functor (WhenMissing f k x) | Since: containers-0.5.9 |
Defined in Data.Map.Internal Methods fmap :: (a -> b) -> WhenMissing f k x a -> WhenMissing f k x b Source # (<$) :: a -> WhenMissing f k x b -> WhenMissing f k x a Source # | |
| Functor (ContT r m) | |
| Functor ((,,,) a b c) | Since: base-4.14.0.0 |
| Functor ((->) r) | Since: base-2.1 |
| (Functor f, Functor g) => Functor (Compose f g) | Since: base-4.9.0.0 |
| (Functor f, Functor g) => Functor (f :.: g) | Since: base-4.9.0.0 |
| Functor f => Functor (M1 i c f) | Since: base-4.9.0.0 |
| Functor (Clown f a :: Type -> Type) | |
| Bifunctor p => Functor (Flip p a) | |
| Functor g => Functor (Joker g a) | |
| Bifunctor p => Functor (WrappedBifunctor p a) | |
Defined in Data.Bifunctor.Wrapped Methods fmap :: (a0 -> b) -> WrappedBifunctor p a a0 -> WrappedBifunctor p a b Source # (<$) :: a0 -> WrappedBifunctor p a b -> WrappedBifunctor p a a0 Source # | |
| Functor f => Functor (WhenMatched f k x y) | Since: containers-0.5.9 |
Defined in Data.Map.Internal Methods fmap :: (a -> b) -> WhenMatched f k x y a -> WhenMatched f k x y b Source # (<$) :: a -> WhenMatched f k x y b -> WhenMatched f k x y a Source # | |
| Functor m => Functor (RWST r w s m) | |
| Functor m => Functor (RWST r w s m) | |
| (Functor f, Bifunctor p) => Functor (Tannen f p a) | |
| Profunctor p => Functor (Procompose p q a) | |
| Profunctor p => Functor (Rift p q a) | |
| (Bifunctor p, Functor g) => Functor (Biff p f g a) | |
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 + xfromInteger0x + fromInteger 0=xnegategives the additive inversex + negate x=fromInteger 0- Associativity of
(*) (x * y) * z=x * (y * z)fromInteger1x * fromInteger 1=xandfromInteger 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.
Methods
(+) :: a -> a -> a infixl 6 Source #
(-) :: a -> a -> a infixl 6 Source #
(*) :: a -> a -> a infixl 7 Source #
Unary negation.
Absolute value.
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 Source #
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
class Eq a => Ord a where Source #
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, thenx <= z=True - Reflexivity
x <= x=True- Antisymmetry
- if
x <= y && y <= x=True, thenx == y=True
Note that the following operator interactions are expected to hold:
x >= y=y <= xx < y=x <= y && x /= yx > y=y < xx < y=compare x y == LTx > y=compare x y == GTx == y=compare x y == EQmin x y == if x <= y then x else y=Truemax x y == if x >= y then x else y=True
Note that (7.) and (8.) do not require min and max to return either of
their arguments. The result is merely required to equal one of the
arguments in terms of (==).
Minimal complete definition: either compare or <=.
Using compare can be more efficient for complex types.
Methods
compare :: a -> a -> Ordering Source #
(<) :: a -> a -> Bool infix 4 Source #
(<=) :: a -> a -> Bool infix 4 Source #
(>) :: a -> a -> Bool infix 4 Source #
Instances
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
Readinstance 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
Readwill parse only the record-syntax form, and furthermore, the fields must be given in the same order as the original declaration. - The derived
Readinstance 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 = 5Note 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 = readListPrecDefaultWhy 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:
instanceReadT wherereadPrec= ...readListPrec=readListPrecDefault
Instances
| Read Version | Since: base-2.1 |
| Read Void | Reading a Since: base-4.8.0.0 |
| Read CBool | |
| Read CChar | |
| Read CClock | |
| Read CDouble | |
| Read CFloat | |
| Read CInt | |
| Read CIntMax | |
| Read CIntPtr | |
| Read CLLong | |
| Read CLong | |
| Read CPtrdiff | |
| Read CSChar | |
| Read CSUSeconds | |
Defined in Foreign.C.Types | |
| Read CShort | |
| Read CSigAtomic | |
Defined in Foreign.C.Types | |
| Read CSize | |
| Read CTime | |
| Read CUChar | |
| Read CUInt | |
| Read CUIntMax | |
| Read CUIntPtr | |
| Read CULLong | |
| Read CULong | |
| Read CUSeconds | |
| Read CUShort | |
| Read CWchar | |
| Read IntPtr | |
| Read WordPtr | |
| Read Associativity | Since: base-4.6.0.0 |
Defined in GHC.Generics | |
| Read DecidedStrictness | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Read Fixity | Since: base-4.6.0.0 |
| Read SourceStrictness | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Read SourceUnpackedness | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Read SeekMode | Since: base-4.2.0.0 |
| Read ExitCode | |
| Read BufferMode | Since: base-4.2.0.0 |
Defined in GHC.IO.Handle.Types | |
| Read Newline | Since: base-4.3.0.0 |
| Read NewlineMode | Since: base-4.3.0.0 |
Defined in GHC.IO.Handle.Types | |
| Read IOMode | Since: base-4.2.0.0 |
| Read Int16 | Since: base-2.1 |
| Read Int32 | Since: base-2.1 |
| Read Int64 | Since: base-2.1 |
| Read Int8 | Since: base-2.1 |
| Read GCDetails | Since: base-4.10.0.0 |
| Read RTSStats | Since: base-4.10.0.0 |
| Read GeneralCategory | Since: base-2.1 |
| Read Word16 | Since: base-2.1 |
| Read Word32 | Since: base-2.1 |
| Read Word64 | Since: base-2.1 |
| Read Lexeme | Since: base-2.1 |
| Read ByteString | |
Defined in Data.ByteString.Internal | |
| Read ByteString | |
Defined in Data.ByteString.Lazy.Internal | |
| Read ShortByteString | |
Defined in Data.ByteString.Short.Internal | |
| Read IntSet | |
| Read Ordering | Since: base-2.1 |
| Read Word8 | Since: base-2.1 |
| Read Integer | Since: base-2.1 |
| Read Natural | Since: base-4.8.0.0 |
| Read () | Since: base-2.1 |
| Read Bool | Since: base-2.1 |
| Read Char | Since: base-2.1 |
| Read Double | Since: base-2.1 |
| Read Float | Since: base-2.1 |
| Read Int | Since: base-2.1 |
| Read Word | Since: base-4.5.0.0 |
| Read a => Read (ZipList a) | Since: base-4.7.0.0 |
| Read a => Read (Complex a) | Since: base-2.1 |
| Read a => Read (Identity a) | This instance would be equivalent to the derived instances of the
Since: base-4.8.0.0 |
| Read a => Read (Down a) | This instance would be equivalent to the derived instances of the
Since: base-4.7.0.0 |
| Read a => Read (First a) | Since: base-4.9.0.0 |
| Read a => Read (Last a) | Since: base-4.9.0.0 |
| Read a => Read (Max a) | Since: base-4.9.0.0 |
| Read a => Read (Min a) | Since: base-4.9.0.0 |
| Read a => Read (Option a) | Since: base-4.9.0.0 |
| Read m => Read (WrappedMonoid m) | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods readsPrec :: Int -> ReadS (WrappedMonoid m) Source # readList :: ReadS [WrappedMonoid m] Source # readPrec :: ReadPrec (WrappedMonoid m) Source # readListPrec :: ReadPrec [WrappedMonoid m] Source # | |
| Read a => Read (NonEmpty a) | Since: base-4.11.0.0 |
| Read p => Read (Par1 p) | Since: base-4.7.0.0 |
| (Integral a, Read a) => Read (Ratio a) | Since: base-2.1 |
| Read e => Read (IntMap e) | |
| Read a => Read (Seq a) | |
| Read a => Read (ViewL a) | |
| Read a => Read (ViewR a) | |
| (Read a, Ord a) => Read (Set a) | |
| Read a => Read (Tree a) | |
| Read a => Read (DList a) | |
| Read mono => Read (NonNull mono) | |
| Read a => Read (Array a) | |
| Read a => Read (SmallArray a) | |
Defined in Data.Primitive.SmallArray Methods readsPrec :: Int -> ReadS (SmallArray a) Source # readList :: ReadS [SmallArray a] Source # readPrec :: ReadPrec (SmallArray a) Source # readListPrec :: ReadPrec [SmallArray a] Source # | |
| (Eq a, Hashable a, Read a) => Read (HashSet a) | |
| Read a => Read (Vector a) | |
| (Read a, Prim a) => Read (Vector a) | |
| (Read a, Storable a) => Read (Vector a) | |
| Read a => Read (Maybe a) | Since: base-2.1 |
| Read a => Read (a) | Since: base-4.15 |
| Read a => Read [a] | Since: base-2.1 |
| (Read a, Read b) => Read (Either a b) | Since: base-3.0 |
| HasResolution a => Read (Fixed a) | Since: base-4.3.0.0 |
| Read (Proxy t) | Since: base-4.7.0.0 |
| (Read a, Read b) => Read (Arg a b) | Since: base-4.9.0.0 |
| (Ix a, Read a, Read b) => Read (Array a b) | Since: base-2.1 |
| Read (U1 p) | Since: base-4.9.0.0 |
| Read (V1 p) | Since: base-4.9.0.0 |
| (Ord k, Read k, Read e) => Read (Map k e) | |
| (Read1 f, Read a) => Read (Cofree f a) | |
| (Read1 f, Read a) => Read (Free f a) | |
| (Read1 m, Read a) => Read (ListT m a) | |
| (Read1 m, Read a) => Read (MaybeT m a) | |
| (Eq k, Hashable k, Read k, Read e) => Read (HashMap k e) | |
| (Read a, Read b) => Read (a, b) | Since: base-2.1 |
| Read a => Read (Const a b) | This instance would be equivalent to the derived instances of the
Since: base-4.8.0.0 |
| Read (f p) => Read (Rec1 f p) | Since: base-4.7.0.0 |
| Read (p a a) => Read (Join p a) | |
| (Read a, Read (f b)) => Read (FreeF f a b) | |
| (Read1 f, Read1 m, Read a) => Read (FreeT f m a) | |
| Read b => Read (Tagged s b) | |
| (Read e, Read1 m, Read a) => Read (ErrorT e m a) | |
| (Read1 f, Read a) => Read (IdentityT f a) | |
| (Read w, Read1 m, Read a) => Read (WriterT w m a) | |
| (Read w, Read1 m, Read a) => Read (WriterT w m a) | |
| (Read a, Read b, Read c) => Read (a, b, c) | Since: base-2.1 |
| (Read1 f, Read1 g, Read a) => Read (Product f g a) | Since: base-4.9.0.0 |
| (Read1 f, Read1 g, Read a) => Read (Sum f g a) | Since: base-4.9.0.0 |
| (Read (f p), Read (g p)) => Read ((f :*: g) p) | Since: base-4.7.0.0 |
| (Read (f p), Read (g p)) => Read ((f :+: g) p) | Since: base-4.7.0.0 |
| Read c => Read (K1 i c p) | Since: base-4.7.0.0 |
| (Read a, Read b, Read c, Read d) => Read (a, b, c, d) | Since: base-2.1 |
| (Read1 f, Read1 g, Read a) => Read (Compose f g a) | Since: base-4.9.0.0 |
| Read (f (g p)) => Read ((f :.: g) p) | Since: base-4.7.0.0 |
| Read (f p) => Read (M1 i c f p) | Since: base-4.7.0.0 |
| Read (f a) => Read (Clown f a b) | |
| Read (p b a) => Read (Flip p a b) | |
| Read (g b) => Read (Joker g a b) | |
| Read (p a b) => Read (WrappedBifunctor p a b) | |
Defined in Data.Bifunctor.Wrapped Methods readsPrec :: Int -> ReadS (WrappedBifunctor p a b) Source # readList :: ReadS [WrappedBifunctor p a b] Source # readPrec :: ReadPrec (WrappedBifunctor p a b) Source # readListPrec :: ReadPrec [WrappedBifunctor p a b] Source # | |
| (Read a, Read b, Read c, Read d, Read e) => Read (a, b, c, d, e) | Since: base-2.1 |
| (Read (f a b), Read (g a b)) => Read (Product f g a b) | |
| (Read (p a b), Read (q a b)) => Read (Sum p q 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 |
| Read (f (p a b)) => Read (Tannen f p 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 |
| (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 |
| Read (p (f a) (g b)) => Read (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 (a, b, c, d, e, f, g, h, i) | Since: base-2.1 |
| (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 |
| (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 |
| (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 |
Defined in GHC.Read | |
| (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 |
Defined in GHC.Read | |
| (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 |
Defined in GHC.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j, k, l, m, n) Source # readList :: ReadS [(a, b, c, d, e, f, g, h, i, j, k, l, m, n)] Source # readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j, k, l, m, n) Source # readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j, k, l, m, n)] Source # | |
| (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 |
Defined in GHC.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) Source # readList :: ReadS [(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)] Source # readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) Source # readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)] Source # | |
class (Num a, Ord a) => Real a where Source #
Methods
toRational :: a -> Rational Source #
the rational equivalent of its real argument with full precision
Instances
class (RealFrac a, Floating a) => RealFloat a where Source #
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 Source #
a constant function, returning the radix of the representation
(often 2)
floatDigits :: a -> Int Source #
a constant function, returning the number of digits of
floatRadix in the significand
floatRange :: a -> (Int, Int) Source #
a constant function, returning the lowest and highest values the exponent may assume
decodeFloat :: a -> (Integer, Int) Source #
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(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) <= , where abs m < b^dd is
the value of floatDigits xdecodeFloat 0 = (0,0)decodeFloat (-0.0) = (0,0)decodeFloat xisNaN xisInfinite xTrue.
encodeFloat :: Integer -> Int -> a Source #
encodeFloat performs the inverse of decodeFloat in the
sense that for finite x with the exception of -0.0,
uncurry encodeFloat (decodeFloat x) = xencodeFloat m nm*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 corresponds to the second component of decodeFloat.
exponent 0 = 0x,
exponent x = snd (decodeFloat x) + floatDigits xx is a finite floating-point number, it is equal in value to
significand x * b ^^ exponent xb is the
floating-point radix.
The behaviour is unspecified on infinite or NaN values.
significand :: a -> a Source #
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 Source #
multiplies a floating-point number by an integer power of the radix
True if the argument is an IEEE "not-a-number" (NaN) value
isInfinite :: a -> Bool Source #
True if the argument is an IEEE infinity or negative infinity
isDenormalized :: a -> Bool Source #
True if the argument is too small to be represented in
normalized format
isNegativeZero :: a -> Bool Source #
True if the argument is an IEEE negative zero
True if the argument is an IEEE floating point number
a version of arctangent taking two real floating-point arguments.
For real floating x and y, atan2 y x(x,y). atan2 y x-pi,
pi]. It follows the Common Lisp semantics for the origin when
signed zeroes are supported. atan2 y 1y in a type
that is RealFloat, should return the same value as atan yatan2 is provided, but implementors
can provide a more accurate implementation.
Instances
class (Real a, Fractional a) => RealFrac a where Source #
Extracting components of fractions.
Minimal complete definition
Methods
properFraction :: Integral b => a -> (b, a) Source #
The function properFraction takes a real fractional number x
and returns a pair (n,f) such that x = n+f, and:
nis an integral number with the same sign asx; andfis a fraction with the same type and sign asx, and with absolute value less than1.
The default definitions of the ceiling, floor, truncate
and round functions are in terms of properFraction.
truncate :: Integral b => a -> b Source #
truncate xx between zero and x
round :: Integral b => a -> b Source #
round xx;
the even integer if x is equidistant between two integers
ceiling :: Integral b => a -> b Source #
ceiling xx
floor :: Integral b => a -> b Source #
floor xx
Instances
| RealFrac CDouble | |
| RealFrac CFloat | |
| RealFrac DiffTime | |
Defined in Data.Time.Clock.Internal.DiffTime | |
| RealFrac a => RealFrac (Identity a) | Since: base-4.9.0.0 |
Defined in Data.Functor.Identity | |
| RealFrac a => RealFrac (Down a) | Since: base-4.14.0.0 |
| Integral a => RealFrac (Ratio a) | Since: base-2.0.1 |
| HasResolution a => RealFrac (Fixed a) | Since: base-2.1 |
| RealFrac a => RealFrac (Const a b) | Since: base-4.9.0.0 |
Defined in Data.Functor.Const | |
| RealFrac a => RealFrac (Tagged s 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
showis 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
showsPrecwill produce infix applications of the constructor. - the representation will be enclosed in parentheses if the
precedence of the top-level constructor in
xis less thand(associativity is ignored). Thus, ifdis0then the result is never surrounded in parentheses; ifdis11it is always surrounded in parentheses, unless it is an atomic expression. - If the constructor is defined using record syntax, then
showwill 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 = 5Note that right-associativity of :^: is ignored. For example,
show(Leaf 1 :^: Leaf 2 :^: Leaf 3)"Leaf 1 :^: (Leaf 2 :^: Leaf 3)".
Instances
| Show AsyncCancelled | |
Defined in Control.Concurrent.Async | |
| Show ExceptionInLinkedThread | |
Defined in Control.Concurrent.Async | |
| Show SomeTypeRep | Since: base-4.10.0.0 |
Defined in Data.Typeable.Internal | |
| Show Version | Since: base-2.1 |
| Show Void | Since: base-4.8.0.0 |
| Show CBool | |
| Show CChar | |
| Show CClock | |
| Show CDouble | |
| Show CFloat | |
| Show CInt | |
| Show CIntMax | |
| Show CIntPtr | |
| Show CLLong | |
| Show CLong | |
| Show CPtrdiff | |
| Show CSChar | |
| Show CSUSeconds | |
Defined in Foreign.C.Types | |
| Show CShort | |
| Show CSigAtomic | |
Defined in Foreign.C.Types | |
| Show CSize | |
| Show CTime | |
| Show CUChar | |
| Show CUInt | |
| Show CUIntMax | |
| Show CUIntPtr | |
| Show CULLong | |
| Show CULong | |
| Show CUSeconds | |
| Show CUShort | |
| Show CWchar | |
| Show IntPtr | |
| Show WordPtr | |
| Show BlockReason | Since: base-4.3.0.0 |
Defined in GHC.Conc.Sync | |
| Show ThreadId | Since: base-4.2.0.0 |
| Show ThreadStatus | Since: base-4.3.0.0 |
Defined in GHC.Conc.Sync | |
| Show ArithException | Since: base-4.0.0.0 |
Defined in GHC.Exception.Type | |
| Show SomeException | Since: base-3.0 |
Defined in GHC.Exception.Type | |
| Show Fingerprint | Since: base-4.7.0.0 |
Defined in GHC.Fingerprint.Type | |
| Show Associativity | Since: base-4.6.0.0 |
Defined in GHC.Generics | |
| Show DecidedStrictness | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Show Fixity | Since: base-4.6.0.0 |
| Show SourceStrictness | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Show SourceUnpackedness | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Show MaskingState | Since: base-4.3.0.0 |
| Show SeekMode | Since: base-4.2.0.0 |
| Show AllocationLimitExceeded | Since: base-4.7.1.0 |
Defined in GHC.IO.Exception | |
| Show ArrayException | Since: base-4.1.0.0 |
Defined in GHC.IO.Exception | |
| Show AssertionFailed | Since: base-4.1.0.0 |
Defined in GHC.IO.Exception | |
| Show AsyncException | Since: base-4.1.0.0 |
Defined in GHC.IO.Exception | |
| Show BlockedIndefinitelyOnMVar | Since: base-4.1.0.0 |
Defined in GHC.IO.Exception | |
| Show BlockedIndefinitelyOnSTM | Since: base-4.1.0.0 |
Defined in GHC.IO.Exception | |
| Show CompactionFailed | Since: base-4.10.0.0 |
Defined in GHC.IO.Exception | |
| Show Deadlock | Since: base-4.1.0.0 |
| Show ExitCode | |
| Show FixIOException | Since: base-4.11.0.0 |
Defined in GHC.IO.Exception | |
| Show IOErrorType | Since: base-4.1.0.0 |
Defined in GHC.IO.Exception | |
| Show IOException | Since: base-4.1.0.0 |
Defined in GHC.IO.Exception | |
| Show SomeAsyncException | Since: base-4.7.0.0 |
Defined in GHC.IO.Exception | |
| Show BufferMode | Since: base-4.2.0.0 |
Defined in GHC.IO.Handle.Types | |
| Show Handle | Since: base-4.1.0.0 |
| Show HandleType | Since: base-4.1.0.0 |
Defined in GHC.IO.Handle.Types | |
| Show Newline | Since: base-4.3.0.0 |
| Show NewlineMode | Since: base-4.3.0.0 |
Defined in GHC.IO.Handle.Types | |
| Show IOMode | Since: base-4.2.0.0 |
| Show Int16 | Since: base-2.1 |
| Show Int32 | Since: base-2.1 |
| Show Int64 | Since: base-2.1 |
| Show Int8 | Since: base-2.1 |
| Show CallStack | Since: base-4.9.0.0 |
| Show SrcLoc | Since: base-4.9.0.0 |
| Show GCDetails | Since: base-4.10.0.0 |
| Show RTSStats | Since: base-4.10.0.0 |
| Show GeneralCategory | Since: base-2.1 |
Defined in GHC.Unicode | |
| Show Word16 | Since: base-2.1 |
| Show Word32 | Since: base-2.1 |
| Show Word64 | Since: base-2.1 |
| Show ByteString | |
Defined in Data.ByteString.Internal | |
| Show ByteString | |
Defined in Data.ByteString.Lazy.Internal | |
| Show ShortByteString | |
Defined in Data.ByteString.Short.Internal | |
| Show IntSet | |
| Show Relation | |
| Show ForeignSrcLang | |
Defined in GHC.ForeignSrcLang.Type | |
| Show Extension | |
| Show KindRep | |
| Show Module | Since: base-4.9.0.0 |
| Show Ordering | Since: base-2.1 |
| Show TrName | Since: base-4.9.0.0 |
| Show TyCon | Since: base-2.1 |
| Show TypeLitSort | Since: base-4.11.0.0 |
| Show NullError | |
| Show Mode | |
| Show Style | |
| Show TextDetails | |
Defined in Text.PrettyPrint.Annotated.HughesPJ | |
| Show Doc | |
| Show ByteArray | Behavior changed in 0.7.2.0. Before 0.7.2.0, this instance rendered
8-bit words less than 16 as a single hexadecimal digit (e.g. 13 was Since: primitive-0.6.3.0 |
| Show AnnLookup | |
| Show AnnTarget | |
| Show Bang | |
| Show Body | |
| Show Bytes | |
| Show Callconv | |
| Show Clause | |
| Show Con | |
| Show Dec | |
| Show DecidedStrictness | |
Defined in Language.Haskell.TH.Syntax | |
| Show DerivClause | |
Defined in Language.Haskell.TH.Syntax | |
| Show DerivStrategy | |
Defined in Language.Haskell.TH.Syntax | |
| Show Exp | |
| Show FamilyResultSig | |
Defined in Language.Haskell.TH.Syntax | |
| Show Fixity | |
| Show FixityDirection | |
Defined in Language.Haskell.TH.Syntax | |
| Show Foreign | |
| Show FunDep | |
| Show Guard | |
| Show Info | |
| Show InjectivityAnn | |
Defined in Language.Haskell.TH.Syntax | |
| Show Inline | |
| Show Lit | |
| Show Loc | |
| Show Match | |
| Show ModName | |
| Show Module | |
| Show ModuleInfo | |
Defined in Language.Haskell.TH.Syntax | |
| Show Name | |
| Show NameFlavour | |
Defined in Language.Haskell.TH.Syntax | |
| Show NameSpace | |
| Show OccName | |
| Show Overlap | |
| Show Pat | |
| Show PatSynArgs | |
Defined in Language.Haskell.TH.Syntax | |
| Show PatSynDir | |
| Show Phases | |
| Show PkgName | |
| Show Pragma | |
| Show Range | |
| Show Role | |
| Show RuleBndr | |
| Show RuleMatch | |
| Show Safety | |
| Show SourceStrictness | |
Defined in Language.Haskell.TH.Syntax | |
| Show SourceUnpackedness | |
Defined in Language.Haskell.TH.Syntax | |
| Show Specificity | |
Defined in Language.Haskell.TH.Syntax | |
| Show Stmt | |
| Show TyLit | |
| Show TySynEqn | |
| Show Type | |
| Show TypeFamilyHead | |
Defined in Language.Haskell.TH.Syntax | |
| Show DiffTime | |
| Show TimeLocale | |
Defined in Data.Time.Format.Locale | |
| Show LocalTime | |
| Show ZonedTime | |
| Show AsyncExceptionWrapper | Since: unliftio-0.1.0.0 |
Defined in UnliftIO.Exception | |
| Show StringException | Since: unliftio-0.1.0.0 |
Defined in UnliftIO.Exception | |
| Show SyncExceptionWrapper | Since: unliftio-0.1.0.0 |
Defined in UnliftIO.Exception | |
| Show ConcException | |
Defined in UnliftIO.Internals.Async | |
| Show Word8 | Since: base-2.1 |
| Show Integer | Since: base-2.1 |
| Show Natural | Since: base-4.8.0.0 |
| Show () | Since: base-2.1 |
| Show Bool | Since: base-2.1 |
| Show Char | Since: base-2.1 |
| Show Int | Since: base-2.1 |
| Show RuntimeRep | Since: base-4.11.0.0 |
| Show VecCount | Since: base-4.11.0.0 |
| Show VecElem | Since: base-4.11.0.0 |
| Show Word | Since: base-2.1 |
| Show a => Show (ZipList a) | Since: base-4.7.0.0 |
| Show a => Show (Complex a) | Since: base-2.1 |
| Show a => Show (Identity a) | This instance would be equivalent to the derived instances of the
Since: base-4.8.0.0 |
| Show a => Show (Down a) | This instance would be equivalent to the derived instances of the
Since: base-4.7.0.0 |
| Show a => Show (First a) | Since: base-4.9.0.0 |
| Show a => Show (Last a) | Since: base-4.9.0.0 |
| Show a => Show (Max a) | Since: base-4.9.0.0 |
| Show a => Show (Min a) | Since: base-4.9.0.0 |
| Show a => Show (Option a) | Since: base-4.9.0.0 |
| Show m => Show (WrappedMonoid m) | Since: base-4.9.0.0 |
Defined in Data.Semigroup | |
| Show a => Show (NonEmpty a) | Since: base-4.11.0.0 |
| Show (ForeignPtr a) | Since: base-2.1 |
Defined in GHC.ForeignPtr | |
| Show p => Show (Par1 p) | Since: base-4.7.0.0 |
| Show (FunPtr a) | Since: base-2.1 |
| Show (Ptr a) | Since: base-2.1 |
| Show a => Show (Ratio a) | Since: base-2.0.1 |
| Show a => Show (IntMap a) | |
| Show a => Show (Seq a) | |
| Show a => Show (ViewL a) | |
| Show a => Show (ViewR a) | |
| Show a => Show (Set a) | |
| Show a => Show (Tree a) | |
| Show a => Show (DList a) | |
| Show a => Show (Hashed a) | |
| Show mono => Show (NonNull mono) | |
| Show a => Show (AnnotDetails a) | |
Defined in Text.PrettyPrint.Annotated.HughesPJ | |
| Show (Doc a) | |
| Show a => Show (Span a) | |
| Show a => Show (Array a) | |
| (Show a, Prim a) => Show (PrimArray a) | Since: primitive-0.6.4.0 |
| Show a => Show (SmallArray a) | |
Defined in Data.Primitive.SmallArray | |
| Show flag => Show (TyVarBndr flag) | |
| Show (Memoized a) | |
| Show a => Show (HashSet a) | |
| Show a => Show (Vector a) | |
| (Show a, Prim a) => Show (Vector a) | |
| (Show a, Storable a) => Show (Vector a) | |
| Show a => Show (Maybe a) | Since: base-2.1 |
| Show a => Show (a) | Since: base-4.15 |
| Show a => Show [a] | Since: base-2.1 |
| (Show a, Show b) => Show (Either a b) | Since: base-3.0 |
| HasResolution a => Show (Fixed a) | Since: base-2.1 |
| Show (Proxy s) | Since: base-4.7.0.0 |
| (Show a, Show b) => Show (Arg a b) | Since: base-4.9.0.0 |
| Show (TypeRep a) | |
| Show (U1 p) | Since: base-4.9.0.0 |
| Show (V1 p) | Since: base-4.9.0.0 |
| Show (ST s a) | Since: base-2.1 |
| (Show k, Show a) => Show (Map k a) | |
| (Show1 f, Show a) => Show (Cofree f a) | |
| (Show1 f, Show a) => Show (Free f a) | |
| (Show1 m, Show a) => Show (ListT m a) | |
| (Show1 m, Show a) => Show (MaybeT m a) | |
| (Show k, Show v) => Show (HashMap k v) | |
| (Show a, Show b) => Show (a, b) | Since: base-2.1 |
| Show a => Show (Const a b) | This instance would be equivalent to the derived instances of the
Since: base-4.8.0.0 |
| Show (f p) => Show (Rec1 f p) | Since: base-4.7.0.0 |
| Show (URec Char p) | Since: base-4.9.0.0 |
| Show (URec Double p) | Since: base-4.9.0.0 |
| Show (URec Float p) | |
| Show (URec Int p) | Since: base-4.9.0.0 |
| Show (URec Word p) | Since: base-4.9.0.0 |
| Show (p a a) => Show (Join p a) | |
| (Show a, Show (f b)) => Show (FreeF f a b) | |
| (Show1 f, Show1 m, Show a) => Show (FreeT f m a) | |
| Show b => Show (Tagged s b) | |
| (Show e, Show1 m, Show a) => Show (ErrorT e m a) | |
| (Show1 f, Show a) => Show (IdentityT f a) | |
| (Show w, Show1 m, Show a) => Show (WriterT w m a) | |
| (Show w, Show1 m, Show a) => Show (WriterT w m a) | |
| (Show a, Show b, Show c) => Show (a, b, c) | Since: base-2.1 |
| (Show1 f, Show1 g, Show a) => Show (Product f g a) | Since: base-4.9.0.0 |
| (Show1 f, Show1 g, Show a) => Show (Sum f g a) | Since: base-4.9.0.0 |
| (Show (f p), Show (g p)) => Show ((f :*: g) p) | Since: base-4.7.0.0 |
| (Show (f p), Show (g p)) => Show ((f :+: g) p) | Since: base-4.7.0.0 |
| Show c => Show (K1 i c p) | Since: base-4.7.0.0 |
| (Show a, Show b, Show c, Show d) => Show (a, b, c, d) | Since: base-2.1 |
| (Show1 f, Show1 g, Show a) => Show (Compose f g a) | Since: base-4.9.0.0 |
| Show (f (g p)) => Show ((f :.: g) p) | Since: base-4.7.0.0 |
| Show (f p) => Show (M1 i c f p) | Since: base-4.7.0.0 |
| Show (f a) => Show (Clown f a b) | |
| Show (p b a) => Show (Flip p a b) | |
| Show (g b) => Show (Joker g a b) | |
| Show (p a b) => Show (WrappedBifunctor p a b) | |
Defined in Data.Bifunctor.Wrapped | |
| (Show a, Show b, Show c, Show d, Show e) => Show (a, b, c, d, e) | Since: base-2.1 |
| (Show (f a b), Show (g a b)) => Show (Product f g a b) | |
| (Show (p a b), Show (q a b)) => Show (Sum p q a b) | |
| (Show a, Show b, Show c, Show d, Show e, Show f) => Show (a, b, c, d, e, f) | Since: base-2.1 |
| Show (f (p a b)) => Show (Tannen f p a b) | |
| (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 |
| (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 |
| Show (p (f a) (g b)) => Show (Biff p f g a b) | |
| (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 |
| (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 |
| (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 |
| (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 |
| (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 |
| (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 |
| (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 |
class Typeable (a :: k) Source #
The class Typeable allows a concrete representation of a type to
be calculated.
Minimal complete definition
typeRep#
class IsString a where Source #
Class for string-like datastructures; used by the overloaded string extension (-XOverloadedStrings in GHC).
Methods
fromString :: String -> a Source #
Instances
| IsString ByteString | Beware: |
Defined in Data.ByteString.Internal Methods fromString :: String -> ByteString Source # | |
| IsString ByteString | Beware: |
Defined in Data.ByteString.Lazy.Internal Methods fromString :: String -> ByteString Source # | |
| IsString ShortByteString | Beware: |
Defined in Data.ByteString.Short.Internal Methods fromString :: String -> ShortByteString Source # | |
| IsString Doc | |
Defined in Text.PrettyPrint.HughesPJ Methods fromString :: String -> Doc Source # | |
| IsString a => IsString (Identity a) | Since: base-4.9.0.0 |
Defined in Data.String Methods fromString :: String -> Identity a Source # | |
| a ~ Char => IsString (Seq a) | Since: containers-0.5.7 |
Defined in Data.Sequence.Internal Methods fromString :: String -> Seq a Source # | |
| a ~ Char => IsString (DList a) | |
Defined in Data.DList.Internal Methods fromString :: String -> DList a Source # | |
| (IsString a, Hashable a) => IsString (Hashed a) | |
Defined in Data.Hashable.Class Methods fromString :: String -> Hashed a Source # | |
| IsString (Doc a) | |
Defined in Text.PrettyPrint.Annotated.HughesPJ Methods fromString :: String -> Doc a Source # | |
| a ~ Char => IsString [a] |
Since: base-2.1 |
Defined in Data.String Methods fromString :: String -> [a] Source # | |
| IsString a => IsString (Const a b) | Since: base-4.9.0.0 |
Defined in Data.String Methods fromString :: String -> Const a b Source # | |
| IsString a => IsString (Tagged s a) | |
Defined in Data.Tagged Methods fromString :: String -> Tagged s a Source # | |
class Functor f => Applicative (f :: Type -> Type) where Source #
A functor with application, providing operations to
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:
(<*>) =liftA2id
liftA2f x y = f<$>x<*>y
Further, any definition must satisfy the following:
- Identity
pureid<*>v = v- Composition
pure(.)<*>u<*>v<*>w = u<*>(v<*>w)- Homomorphism
puref<*>purex =pure(f x)- Interchange
u
<*>purey =pure($y)<*>u
The other methods have the following default definitions, which may be overridden with equivalent specialized implementations:
As a consequence of these laws, the Functor instance for f will satisfy
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
liftA2p (liftA2q u v) =liftA2f u .liftA2g v
If f is also a Monad, it should satisfy
(which implies that pure and <*> satisfy the applicative functor laws).
Methods
Lift a value.
(<*>) :: f (a -> b) -> f a -> f b infixl 4 Source #
Sequential application.
A few functors support an implementation of <*> that is more
efficient than the default one.
Example
Used in combination with (, <$>)( can be used to build a record.<*>)
>>>data MyState = MyState {arg1 :: Foo, arg2 :: Bar, arg3 :: Baz}
>>>produceFoo :: Applicative f => f Foo
>>>produceBar :: Applicative f => f Bar>>>produceBaz :: Applicative f => f Baz
>>>mkState :: Applicative f => f MyState>>>mkState = MyState <$> produceFoo <*> produceBar <*> produceBaz
liftA2 :: (a -> b -> c) -> f a -> f b -> f c Source #
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 <*>.
This became a typeclass method in 4.10.0.0. Prior to that, it was
a function defined in terms of <*> and fmap.
Example
>>>liftA2 (,) (Just 3) (Just 5)Just (3,5)
(*>) :: f a -> f b -> f b infixl 4 Source #
Sequence actions, discarding the value of the first argument.
Examples
If used in conjunction with the Applicative instance for Maybe,
you can chain Maybe computations, with a possible "early return"
in case of Nothing.
>>>Just 2 *> Just 3Just 3
>>>Nothing *> Just 3Nothing
Of course a more interesting use case would be to have effectful computations instead of just returning pure values.
>>>import Data.Char>>>import Text.ParserCombinators.ReadP>>>let p = string "my name is " *> munch1 isAlpha <* eof>>>readP_to_S p "my name is Simon"[("Simon","")]
(<*) :: f a -> f b -> f a infixl 4 Source #
Sequence actions, discarding the value of the second argument.
Instances
| Applicative Concurrently | |
Defined in Control.Concurrent.Async Methods pure :: a -> Concurrently a Source # (<*>) :: Concurrently (a -> b) -> Concurrently a -> Concurrently b Source # liftA2 :: (a -> b -> c) -> Concurrently a -> Concurrently b -> Concurrently c Source # (*>) :: Concurrently a -> Concurrently b -> Concurrently b Source # (<*) :: Concurrently a -> Concurrently b -> Concurrently a Source # | |
| Applicative ZipList | f <$> ZipList xs1 <*> ... <*> ZipList xsN
= ZipList (zipWithN f xs1 ... xsN)where (\a b c -> stimes c [a, b]) <$> 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 |
Defined in Control.Applicative | |
| Applicative Complex | Since: base-4.9.0.0 |
| Applicative Identity | Since: base-4.8.0.0 |
Defined in Data.Functor.Identity | |
| Applicative Down | Since: base-4.11.0.0 |
| Applicative First | Since: base-4.9.0.0 |
| Applicative Last | Since: base-4.9.0.0 |
| Applicative Max | Since: base-4.9.0.0 |
| Applicative Min | Since: base-4.9.0.0 |
| Applicative Option | Since: base-4.9.0.0 |
| Applicative NonEmpty | Since: base-4.9.0.0 |
Defined in GHC.Base | |
| Applicative STM | Since: base-4.8.0.0 |
| Applicative Par1 | Since: base-4.9.0.0 |
| Applicative P | Since: base-4.5.0.0 |
| Applicative ReadP | Since: base-4.6.0.0 |
| Applicative Seq | Since: containers-0.5.4 |
| Applicative Tree | |
| Applicative DList | |
| Applicative IO | Since: base-2.1 |
| Applicative Array | |
| Applicative SmallArray | |
Defined in Data.Primitive.SmallArray Methods pure :: a -> SmallArray a Source # (<*>) :: SmallArray (a -> b) -> SmallArray a -> SmallArray b Source # liftA2 :: (a -> b -> c) -> SmallArray a -> SmallArray b -> SmallArray c Source # (*>) :: SmallArray a -> SmallArray b -> SmallArray b Source # (<*) :: SmallArray a -> SmallArray b -> SmallArray a Source # | |
| Applicative Q | |
| Applicative Flat | |
| Applicative FlatApp | |
Defined in UnliftIO.Internals.Async | |
| Applicative Memoized | |
Defined in UnliftIO.Memoize | |
| Applicative Vector | |
| Applicative Box | |
| Applicative Id | |
| Applicative Maybe | Since: base-2.1 |
| Applicative Solo | Since: base-4.15 |
| Applicative [] | Since: base-2.1 |
| Representable f => Applicative (Co f) | |
| Monad m => Applicative (WrappedMonad m) | Since: base-2.1 |
Defined in Control.Applicative Methods pure :: a -> WrappedMonad m a Source # (<*>) :: WrappedMonad m (a -> b) -> WrappedMonad m a -> WrappedMonad m b Source # liftA2 :: (a -> b -> c) -> WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m c Source # (*>) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m b Source # (<*) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m a Source # | |
| Arrow a => Applicative (ArrowMonad a) | Since: base-4.6.0.0 |
Defined in Control.Arrow Methods pure :: a0 -> ArrowMonad a a0 Source # (<*>) :: ArrowMonad a (a0 -> b) -> ArrowMonad a a0 -> ArrowMonad a b Source # liftA2 :: (a0 -> b -> c) -> ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a c Source # (*>) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a b Source # (<*) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a a0 Source # | |
| Applicative (Either e) | Since: base-3.0 |
Defined in Data.Either | |
| Applicative (Proxy :: Type -> Type) | Since: base-4.7.0.0 |
| Applicative (U1 :: Type -> Type) | Since: base-4.9.0.0 |
| Applicative (ST s) | Since: base-4.4.0.0 |
| Alternative f => Applicative (Cofree f) | |
Defined in Control.Comonad.Cofree | |
| Functor f => Applicative (Free f) | |
| Applicative (StateL s) | |
Defined in Data.Key | |
| Applicative (StateR s) | |
Defined in Data.Key | |
| Applicative f => Applicative (WrappedPoly f) | |
Defined in Data.MonoTraversable Methods pure :: a -> WrappedPoly f a Source # (<*>) :: WrappedPoly f (a -> b) -> WrappedPoly f a -> WrappedPoly f b Source # liftA2 :: (a -> b -> c) -> WrappedPoly f a -> WrappedPoly f b -> WrappedPoly f c Source # (*>) :: WrappedPoly f a -> WrappedPoly f b -> WrappedPoly f b Source # (<*) :: WrappedPoly f a -> WrappedPoly f b -> WrappedPoly f a Source # | |
| Apply f => Applicative (MaybeApply f) | |
Defined in Data.Functor.Bind.Class Methods pure :: a -> MaybeApply f a Source # (<*>) :: MaybeApply f (a -> b) -> MaybeApply f a -> MaybeApply f b Source # liftA2 :: (a -> b -> c) -> MaybeApply f a -> MaybeApply f b -> MaybeApply f c Source # (*>) :: MaybeApply f a -> MaybeApply f b -> MaybeApply f b Source # (<*) :: MaybeApply f a -> MaybeApply f b -> MaybeApply f a Source # | |
| Applicative f => Applicative (WrappedApplicative f) | |
Defined in Data.Functor.Bind.Class Methods pure :: a -> WrappedApplicative f a Source # (<*>) :: WrappedApplicative f (a -> b) -> WrappedApplicative f a -> WrappedApplicative f b Source # liftA2 :: (a -> b -> c) -> WrappedApplicative f a -> WrappedApplicative f b -> WrappedApplicative f c Source # (*>) :: WrappedApplicative f a -> WrappedApplicative f b -> WrappedApplicative f b Source # (<*) :: WrappedApplicative f a -> WrappedApplicative f b -> WrappedApplicative f a Source # | |
| Applicative m => Applicative (ListT m) | |
Defined in Control.Monad.Trans.List | |
| (Functor m, Monad m) => Applicative (MaybeT m) | |
Defined in Control.Monad.Trans.Maybe | |
| MonadUnliftIO m => Applicative (Conc m) | Since: unliftio-0.2.9.0 |
| MonadUnliftIO m => Applicative (Concurrently m) | Since: unliftio-0.1.0.0 |
Defined in UnliftIO.Internals.Async Methods pure :: a -> Concurrently m a Source # (<*>) :: Concurrently m (a -> b) -> Concurrently m a -> Concurrently m b Source # liftA2 :: (a -> b -> c) -> Concurrently m a -> Concurrently m b -> Concurrently m c Source # (*>) :: Concurrently m a -> Concurrently m b -> Concurrently m b Source # (<*) :: Concurrently m a -> Concurrently m b -> Concurrently m a Source # | |
| Monoid a => Applicative ((,) a) | For tuples, the ("hello ", (+15)) <*> ("world!", 2002)
("hello world!",2017)Since: base-2.1 |
| Arrow a => Applicative (WrappedArrow a b) | Since: base-2.1 |
Defined in Control.Applicative Methods pure :: a0 -> WrappedArrow a b a0 Source # (<*>) :: WrappedArrow a b (a0 -> b0) -> WrappedArrow a b a0 -> WrappedArrow a b b0 Source # liftA2 :: (a0 -> b0 -> c) -> WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b c Source # (*>) :: WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b b0 Source # (<*) :: WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b a0 Source # | |
| Applicative m => Applicative (Kleisli m a) | Since: base-4.14.0.0 |
Defined in Control.Arrow Methods pure :: a0 -> Kleisli m a a0 Source # (<*>) :: Kleisli m a (a0 -> b) -> Kleisli m a a0 -> Kleisli m a b Source # liftA2 :: (a0 -> b -> c) -> Kleisli m a a0 -> Kleisli m a b -> Kleisli m a c Source # (*>) :: Kleisli m a a0 -> Kleisli m a b -> Kleisli m a b Source # (<*) :: Kleisli m a a0 -> Kleisli m a b -> Kleisli m a a0 Source # | |
| Monoid m => Applicative (Const m :: Type -> Type) | Since: base-2.0.1 |
Defined in Data.Functor.Const | |
| Applicative f => Applicative (Rec1 f) | Since: base-4.9.0.0 |
| Biapplicative p => Applicative (Join p) | |
| (Monoid e, Applicative m) => Applicative (EnvT e m) | |
Defined in Control.Comonad.Trans.Env | |
| (Applicative w, Monoid s) => Applicative (StoreT s w) | |
Defined in Control.Comonad.Trans.Store Methods pure :: a -> StoreT s w a Source # (<*>) :: StoreT s w (a -> b) -> StoreT s w a -> StoreT s w b Source # liftA2 :: (a -> b -> c) -> StoreT s w a -> StoreT s w b -> StoreT s w c Source # (*>) :: StoreT s w a -> StoreT s w b -> StoreT s w b Source # (<*) :: StoreT s w a -> StoreT s w b -> StoreT s w a Source # | |
| Applicative w => Applicative (TracedT m w) | |
Defined in Control.Comonad.Trans.Traced Methods pure :: a -> TracedT m w a Source # (<*>) :: TracedT m w (a -> b) -> TracedT m w a -> TracedT m w b Source # liftA2 :: (a -> b -> c) -> TracedT m w a -> TracedT m w b -> TracedT m w c Source # (*>) :: TracedT m w a -> TracedT m w b -> TracedT m w b Source # (<*) :: TracedT m w a -> TracedT m w b -> TracedT m w a Source # | |
| (Applicative f, Monad f) => Applicative (WhenMissing f x) | Equivalent to Since: containers-0.5.9 |
Defined in Data.IntMap.Internal Methods pure :: a -> WhenMissing f x a Source # (<*>) :: WhenMissing f x (a -> b) -> WhenMissing f x a -> WhenMissing f x b Source # liftA2 :: (a -> b -> c) -> WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x c Source # (*>) :: WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x b Source # (<*) :: WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x a Source # | |
| (Functor f, Monad m) => Applicative (FreeT f m) | |
Defined in Control.Monad.Trans.Free | |
| (Applicative f, Applicative g) => Applicative (Day f g) | |
Defined in Data.Functor.Day | |
| (Applicative (Rep p), Representable p) => Applicative (Prep p) | |
| Applicative f => Applicative (Static f a) | |
Defined in Data.Semigroupoid.Static Methods pure :: a0 -> Static f a a0 Source # (<*>) :: Static f a (a0 -> b) -> Static f a a0 -> Static f a b Source # liftA2 :: (a0 -> b -> c) -> Static f a a0 -> Static f a b -> Static f a c Source # (*>) :: Static f a a0 -> Static f a b -> Static f a b Source # (<*) :: Static f a a0 -> Static f a b -> Static f a a0 Source # | |
| Applicative (Tagged s) | |
Defined in Data.Tagged | |
| (Functor m, Monad m) => Applicative (ErrorT e m) | |
Defined in Control.Monad.Trans.Error Methods pure :: a -> ErrorT e m a Source # (<*>) :: ErrorT e m (a -> b) -> ErrorT e m a -> ErrorT e m b Source # liftA2 :: (a -> b -> c) -> ErrorT e m a -> ErrorT e m b -> ErrorT e m c Source # (*>) :: ErrorT e m a -> ErrorT e m b -> ErrorT e m b Source # (<*) :: ErrorT e m a -> ErrorT e m b -> ErrorT e m a Source # | |
| Applicative m => Applicative (IdentityT m) | |
Defined in Control.Monad.Trans.Identity Methods pure :: a -> IdentityT m a Source # (<*>) :: IdentityT m (a -> b) -> IdentityT m a -> IdentityT m b Source # liftA2 :: (a -> b -> c) -> IdentityT m a -> IdentityT m b -> IdentityT m c Source # (*>) :: IdentityT m a -> IdentityT m b -> IdentityT m b Source # (<*) :: IdentityT m a -> IdentityT m b -> IdentityT m a Source # | |
| Applicative m => Applicative (ReaderT r m) | |
Defined in Control.Monad.Trans.Reader Methods pure :: a -> ReaderT r m a Source # (<*>) :: ReaderT r m (a -> b) -> ReaderT r m a -> ReaderT r m b Source # liftA2 :: (a -> b -> c) -> ReaderT r m a -> ReaderT r m b -> ReaderT r m c Source # (*>) :: ReaderT r m a -> ReaderT r m b -> ReaderT r m b Source # (<*) :: ReaderT r m a -> ReaderT r m b -> ReaderT r m a Source # | |
| (Functor m, Monad m) => Applicative (StateT s m) | |
Defined in Control.Monad.Trans.State.Lazy Methods pure :: a -> StateT s m a Source # (<*>) :: StateT s m (a -> b) -> StateT s m a -> StateT s m b Source # liftA2 :: (a -> b -> c) -> StateT s m a -> StateT s m b -> StateT s m c Source # (*>) :: StateT s m a -> StateT s m b -> StateT s m b Source # (<*) :: StateT s m a -> StateT s m b -> StateT s m a Source # | |
| (Functor m, Monad m) => Applicative (StateT s m) | |
Defined in Control.Monad.Trans.State.Strict Methods pure :: a -> StateT s m a Source # (<*>) :: StateT s m (a -> b) -> StateT s m a -> StateT s m b Source # liftA2 :: (a -> b -> c) -> StateT s m a -> StateT s m b -> StateT s m c Source # (*>) :: StateT s m a -> StateT s m b -> StateT s m b Source # (<*) :: StateT s m a -> StateT s m b -> StateT s m a Source # | |
| (Monoid w, Applicative m) => Applicative (WriterT w m) | |
Defined in Control.Monad.Trans.Writer.Lazy Methods pure :: a -> WriterT w m a Source # (<*>) :: WriterT w m (a -> b) -> WriterT w m a -> WriterT w m b Source # liftA2 :: (a -> b -> c) -> WriterT w m a -> WriterT w m b -> WriterT w m c Source # (*>) :: WriterT w m a -> WriterT w m b -> WriterT w m b Source # (<*) :: WriterT w m a -> WriterT w m b -> WriterT w m a Source # | |
| (Monoid w, Applicative m) => Applicative (WriterT w m) | |
Defined in Control.Monad.Trans.Writer.Strict Methods pure :: a -> WriterT w m a Source # (<*>) :: WriterT w m (a -> b) -> WriterT w m a -> WriterT w m b Source # liftA2 :: (a -> b -> c) -> WriterT w m a -> WriterT w m b -> WriterT w m c Source # (*>) :: WriterT w m a -> WriterT w m b -> WriterT w m b Source # (<*) :: WriterT w m a -> WriterT w m b -> WriterT w m a Source # | |
| (Monoid a, Monoid b) => Applicative ((,,) a b) | Since: base-4.14.0.0 |
Defined in GHC.Base | |
| (Applicative f, Applicative g) => Applicative (Product f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Product Methods pure :: a -> Product f g a Source # (<*>) :: Product f g (a -> b) -> Product f g a -> Product f g b Source # liftA2 :: (a -> b -> c) -> Product f g a -> Product f g b -> Product f g c Source # (*>) :: Product f g a -> Product f g b -> Product f g b Source # (<*) :: Product f g a -> Product f g b -> Product f g a Source # | |
| (Applicative f, Applicative g) => Applicative (f :*: g) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Monoid c => Applicative (K1 i c :: Type -> Type) | Since: base-4.12.0.0 |
| Applicative (Cokleisli w a) | |
Defined in Control.Comonad Methods pure :: a0 -> Cokleisli w a a0 Source # (<*>) :: Cokleisli w a (a0 -> b) -> Cokleisli w a a0 -> Cokleisli w a b Source # liftA2 :: (a0 -> b -> c) -> Cokleisli w a a0 -> Cokleisli w a b -> Cokleisli w a c Source # (*>) :: Cokleisli w a a0 -> Cokleisli w a b -> Cokleisli w a b Source # (<*) :: Cokleisli w a a0 -> Cokleisli w a b -> Cokleisli w a a0 Source # | |
| (Monad f, Applicative f) => Applicative (WhenMatched f x y) | Equivalent to Since: containers-0.5.9 |
Defined in Data.IntMap.Internal Methods pure :: a -> WhenMatched f x y a Source # (<*>) :: WhenMatched f x y (a -> b) -> WhenMatched f x y a -> WhenMatched f x y b Source # liftA2 :: (a -> b -> c) -> WhenMatched f x y a -> WhenMatched f x y b -> WhenMatched f x y c Source # (*>) :: WhenMatched f x y a -> WhenMatched f x y b -> WhenMatched f x y b Source # (<*) :: WhenMatched f x y a -> WhenMatched f x y b -> WhenMatched f x y a Source # | |
| (Applicative f, Monad f) => Applicative (WhenMissing f k x) | Equivalent to Since: containers-0.5.9 |
Defined in Data.Map.Internal Methods pure :: a -> WhenMissing f k x a Source # (<*>) :: WhenMissing f k x (a -> b) -> WhenMissing f k x a -> WhenMissing f k x b Source # liftA2 :: (a -> b -> c) -> WhenMissing f k x a -> WhenMissing f k x b -> WhenMissing f k x c Source # (*>) :: WhenMissing f k x a -> WhenMissing f k x b -> WhenMissing f k x b Source # (<*) :: WhenMissing f k x a -> WhenMissing f k x b -> WhenMissing f k x a Source # | |
| Applicative (ContT r m) | |
Defined in Control.Monad.Trans.Cont | |
| (Monoid a, Monoid b, Monoid c) => Applicative ((,,,) a b c) | Since: base-4.14.0.0 |
Defined in GHC.Base Methods pure :: a0 -> (a, b, c, a0) Source # (<*>) :: (a, b, c, a0 -> b0) -> (a, b, c, a0) -> (a, b, c, b0) Source # liftA2 :: (a0 -> b0 -> c0) -> (a, b, c, a0) -> (a, b, c, b0) -> (a, b, c, c0) Source # (*>) :: (a, b, c, a0) -> (a, b, c, b0) -> (a, b, c, b0) Source # (<*) :: (a, b, c, a0) -> (a, b, c, b0) -> (a, b, c, a0) Source # | |
| Applicative ((->) r) | Since: base-2.1 |
| (Applicative f, Applicative g) => Applicative (Compose f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose Methods pure :: a -> Compose f g a Source # (<*>) :: Compose f g (a -> b) -> Compose f g a -> Compose f g b Source # liftA2 :: (a -> b -> c) -> Compose f g a -> Compose f g b -> Compose f g c Source # (*>) :: Compose f g a -> Compose f g b -> Compose f g b Source # (<*) :: Compose f g a -> Compose f g b -> Compose f g a Source # | |
| (Applicative f, Applicative g) => Applicative (f :.: g) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Applicative f => Applicative (M1 i c f) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| (Monad f, Applicative f) => Applicative (WhenMatched f k x y) | Equivalent to Since: containers-0.5.9 |
Defined in Data.Map.Internal Methods pure :: a -> WhenMatched f k x y a Source # (<*>) :: WhenMatched f k x y (a -> b) -> WhenMatched f k x y a -> WhenMatched f k x y b Source # liftA2 :: (a -> b -> c) -> WhenMatched f k x y a -> WhenMatched f k x y b -> WhenMatched f k x y c Source # (*>) :: WhenMatched f k x y a -> WhenMatched f k x y b -> WhenMatched f k x y b Source # (<*) :: WhenMatched f k x y a -> WhenMatched f k x y b -> WhenMatched f k x y a Source # | |
| (Monoid w, Functor m, Monad m) => Applicative (RWST r w s m) | |
Defined in Control.Monad.Trans.RWS.Lazy Methods pure :: a -> RWST r w s m a Source # (<*>) :: RWST r w s m (a -> b) -> RWST r w s m a -> RWST r w s m b Source # liftA2 :: (a -> b -> c) -> RWST r w s m a -> RWST r w s m b -> RWST r w s m c Source # (*>) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m b Source # (<*) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m a Source # | |
| (Monoid w, Functor m, Monad m) => Applicative (RWST r w s m) | |
Defined in Control.Monad.Trans.RWS.Strict Methods pure :: a -> RWST r w s m a Source # (<*>) :: RWST r w s m (a -> b) -> RWST r w s m a -> RWST r w s m b Source # liftA2 :: (a -> b -> c) -> RWST r w s m a -> RWST r w s m b -> RWST r w s m c Source # (*>) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m b Source # (<*) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m a Source # | |
class Foldable (t :: Type -> Type) Source #
The Foldable class represents data structures that can be reduced to a summary value one element at a time. Strict left-associative folds are a good fit for space-efficient reduction, while lazy right-associative folds are a good fit for corecursive iteration, or for folds that short-circuit after processing an initial subsequence of the structure's elements.
Instances can be derived automatically by enabling the DeriveFoldable
extension. For example, a derived instance for a binary tree might be:
{-# LANGUAGE DeriveFoldable #-}
data Tree a = Empty
| Leaf a
| Node (Tree a) a (Tree a)
deriving FoldableA more detailed description can be found in the Overview section of Data.Foldable.
For the class laws see the Laws section of Data.Foldable.
Instances
| Foldable ZipList | Since: base-4.9.0.0 |
Defined in Control.Applicative Methods fold :: Monoid m => ZipList m -> m Source # foldMap :: Monoid m => (a -> m) -> ZipList a -> m Source # foldMap' :: Monoid m => (a -> m) -> ZipList a -> m Source # foldr :: (a -> b -> b) -> b -> ZipList a -> b Source # foldr' :: (a -> b -> b) -> b -> ZipList a -> b Source # foldl :: (b -> a -> b) -> b -> ZipList a -> b Source # foldl' :: (b -> a -> b) -> b -> ZipList a -> b Source # foldr1 :: (a -> a -> a) -> ZipList a -> a Source # foldl1 :: (a -> a -> a) -> ZipList a -> a Source # toList :: ZipList a -> [a] Source # null :: ZipList a -> Bool Source # length :: ZipList a -> Int Source # elem :: Eq a => a -> ZipList a -> Bool Source # maximum :: Ord a => ZipList a -> a Source # minimum :: Ord a => ZipList a -> a Source # | |
| Foldable Complex | Since: base-4.9.0.0 |
Defined in Data.Complex Methods fold :: Monoid m => Complex m -> m Source # foldMap :: Monoid m => (a -> m) -> Complex a -> m Source # foldMap' :: Monoid m => (a -> m) -> Complex a -> m Source # foldr :: (a -> b -> b) -> b -> Complex a -> b Source # foldr' :: (a -> b -> b) -> b -> Complex a -> b Source # foldl :: (b -> a -> b) -> b -> Complex a -> b Source # foldl' :: (b -> a -> b) -> b -> Complex a -> b Source # foldr1 :: (a -> a -> a) -> Complex a -> a Source # foldl1 :: (a -> a -> a) -> Complex a -> a Source # toList :: Complex a -> [a] Source # null :: Complex a -> Bool Source # length :: Complex a -> Int Source # elem :: Eq a => a -> Complex a -> Bool Source # maximum :: Ord a => Complex a -> a Source # minimum :: Ord a => Complex a -> a Source # | |
| Foldable Identity | Since: base-4.8.0.0 |
Defined in Data.Functor.Identity Methods fold :: Monoid m => Identity m -> m Source # foldMap :: Monoid m => (a -> m) -> Identity a -> m Source # foldMap' :: Monoid m => (a -> m) -> Identity a -> m Source # foldr :: (a -> b -> b) -> b -> Identity a -> b Source # foldr' :: (a -> b -> b) -> b -> Identity a -> b Source # foldl :: (b -> a -> b) -> b -> Identity a -> b Source # foldl' :: (b -> a -> b) -> b -> Identity a -> b Source # foldr1 :: (a -> a -> a) -> Identity a -> a Source # foldl1 :: (a -> a -> a) -> Identity a -> a Source # toList :: Identity a -> [a] Source # null :: Identity a -> Bool Source # length :: Identity a -> Int Source # elem :: Eq a => a -> Identity a -> Bool Source # maximum :: Ord a => Identity a -> a Source # minimum :: Ord a => Identity a -> a Source # | |
| Foldable First | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => First m -> m Source # foldMap :: Monoid m => (a -> m) -> First a -> m Source # foldMap' :: Monoid m => (a -> m) -> First a -> m Source # foldr :: (a -> b -> b) -> b -> First a -> b Source # foldr' :: (a -> b -> b) -> b -> First a -> b Source # foldl :: (b -> a -> b) -> b -> First a -> b Source # foldl' :: (b -> a -> b) -> b -> First a -> b Source # foldr1 :: (a -> a -> a) -> First a -> a Source # foldl1 :: (a -> a -> a) -> First a -> a Source # toList :: First a -> [a] Source # null :: First a -> Bool Source # length :: First a -> Int Source # elem :: Eq a => a -> First a -> Bool Source # maximum :: Ord a => First a -> a Source # minimum :: Ord a => First a -> a Source # | |
| Foldable Last | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Last m -> m Source # foldMap :: Monoid m => (a -> m) -> Last a -> m Source # foldMap' :: Monoid m => (a -> m) -> Last a -> m Source # foldr :: (a -> b -> b) -> b -> Last a -> b Source # foldr' :: (a -> b -> b) -> b -> Last a -> b Source # foldl :: (b -> a -> b) -> b -> Last a -> b Source # foldl' :: (b -> a -> b) -> b -> Last a -> b Source # foldr1 :: (a -> a -> a) -> Last a -> a Source # foldl1 :: (a -> a -> a) -> Last a -> a Source # toList :: Last a -> [a] Source # null :: Last a -> Bool Source # length :: Last a -> Int Source # elem :: Eq a => a -> Last a -> Bool Source # maximum :: Ord a => Last a -> a Source # minimum :: Ord a => Last a -> a Source # | |
| Foldable Down | Since: base-4.12.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Down m -> m Source # foldMap :: Monoid m => (a -> m) -> Down a -> m Source # foldMap' :: Monoid m => (a -> m) -> Down a -> m Source # foldr :: (a -> b -> b) -> b -> Down a -> b Source # foldr' :: (a -> b -> b) -> b -> Down a -> b Source # foldl :: (b -> a -> b) -> b -> Down a -> b Source # foldl' :: (b -> a -> b) -> b -> Down a -> b Source # foldr1 :: (a -> a -> a) -> Down a -> a Source # foldl1 :: (a -> a -> a) -> Down a -> a Source # toList :: Down a -> [a] Source # null :: Down a -> Bool Source # length :: Down a -> Int Source # elem :: Eq a => a -> Down a -> Bool Source # maximum :: Ord a => Down a -> a Source # minimum :: Ord a => Down a -> a Source # | |
| Foldable First | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => First m -> m Source # foldMap :: Monoid m => (a -> m) -> First a -> m Source # foldMap' :: Monoid m => (a -> m) -> First a -> m Source # foldr :: (a -> b -> b) -> b -> First a -> b Source # foldr' :: (a -> b -> b) -> b -> First a -> b Source # foldl :: (b -> a -> b) -> b -> First a -> b Source # foldl' :: (b -> a -> b) -> b -> First a -> b Source # foldr1 :: (a -> a -> a) -> First a -> a Source # foldl1 :: (a -> a -> a) -> First a -> a Source # toList :: First a -> [a] Source # null :: First a -> Bool Source # length :: First a -> Int Source # elem :: Eq a => a -> First a -> Bool Source # maximum :: Ord a => First a -> a Source # minimum :: Ord a => First a -> a Source # | |
| Foldable Last | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => Last m -> m Source # foldMap :: Monoid m => (a -> m) -> Last a -> m Source # foldMap' :: Monoid m => (a -> m) -> Last a -> m Source # foldr :: (a -> b -> b) -> b -> Last a -> b Source # foldr' :: (a -> b -> b) -> b -> Last a -> b Source # foldl :: (b -> a -> b) -> b -> Last a -> b Source # foldl' :: (b -> a -> b) -> b -> Last a -> b Source # foldr1 :: (a -> a -> a) -> Last a -> a Source # foldl1 :: (a -> a -> a) -> Last a -> a Source # toList :: Last a -> [a] Source # null :: Last a -> Bool Source # length :: Last a -> Int Source # elem :: Eq a => a -> Last a -> Bool Source # maximum :: Ord a => Last a -> a Source # minimum :: Ord a => Last a -> a Source # | |
| Foldable Max | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => Max m -> m Source # foldMap :: Monoid m => (a -> m) -> Max a -> m Source # foldMap' :: Monoid m => (a -> m) -> Max a -> m Source # foldr :: (a -> b -> b) -> b -> Max a -> b Source # foldr' :: (a -> b -> b) -> b -> Max a -> b Source # foldl :: (b -> a -> b) -> b -> Max a -> b Source # foldl' :: (b -> a -> b) -> b -> Max a -> b Source # foldr1 :: (a -> a -> a) -> Max a -> a Source # foldl1 :: (a -> a -> a) -> Max a -> a Source # toList :: Max a -> [a] Source # null :: Max a -> Bool Source # length :: Max a -> Int Source # elem :: Eq a => a -> Max a -> Bool Source # maximum :: Ord a => Max a -> a Source # minimum :: Ord a => Max a -> a Source # | |
| Foldable Min | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => Min m -> m Source # foldMap :: Monoid m => (a -> m) -> Min a -> m Source # foldMap' :: Monoid m => (a -> m) -> Min a -> m Source # foldr :: (a -> b -> b) -> b -> Min a -> b Source # foldr' :: (a -> b -> b) -> b -> Min a -> b Source # foldl :: (b -> a -> b) -> b -> Min a -> b Source # foldl' :: (b -> a -> b) -> b -> Min a -> b Source # foldr1 :: (a -> a -> a) -> Min a -> a Source # foldl1 :: (a -> a -> a) -> Min a -> a Source # toList :: Min a -> [a] Source # null :: Min a -> Bool Source # length :: Min a -> Int Source # elem :: Eq a => a -> Min a -> Bool Source # maximum :: Ord a => Min a -> a Source # minimum :: Ord a => Min a -> a Source # | |
| Foldable Option | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => Option m -> m Source # foldMap :: Monoid m => (a -> m) -> Option a -> m Source # foldMap' :: Monoid m => (a -> m) -> Option a -> m Source # foldr :: (a -> b -> b) -> b -> Option a -> b Source # foldr' :: (a -> b -> b) -> b -> Option a -> b Source # foldl :: (b -> a -> b) -> b -> Option a -> b Source # foldl' :: (b -> a -> b) -> b -> Option a -> b Source # foldr1 :: (a -> a -> a) -> Option a -> a Source # foldl1 :: (a -> a -> a) -> Option a -> a Source # toList :: Option a -> [a] Source # null :: Option a -> Bool Source # length :: Option a -> Int Source # elem :: Eq a => a -> Option a -> Bool Source # maximum :: Ord a => Option a -> a Source # minimum :: Ord a => Option a -> a Source # | |
| Foldable Dual | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Dual m -> m Source # foldMap :: Monoid m => (a -> m) -> Dual a -> m Source # foldMap' :: Monoid m => (a -> m) -> Dual a -> m Source # foldr :: (a -> b -> b) -> b -> Dual a -> b Source # foldr' :: (a -> b -> b) -> b -> Dual a -> b Source # foldl :: (b -> a -> b) -> b -> Dual a -> b Source # foldl' :: (b -> a -> b) -> b -> Dual a -> b Source # foldr1 :: (a -> a -> a) -> Dual a -> a Source # foldl1 :: (a -> a -> a) -> Dual a -> a Source # toList :: Dual a -> [a] Source # null :: Dual a -> Bool Source # length :: Dual a -> Int Source # elem :: Eq a => a -> Dual a -> Bool Source # maximum :: Ord a => Dual a -> a Source # minimum :: Ord a => Dual a -> a Source # | |
| Foldable Product | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Product m -> m Source # foldMap :: Monoid m => (a -> m) -> Product a -> m Source # foldMap' :: Monoid m => (a -> m) -> Product a -> m Source # foldr :: (a -> b -> b) -> b -> Product a -> b Source # foldr' :: (a -> b -> b) -> b -> Product a -> b Source # foldl :: (b -> a -> b) -> b -> Product a -> b Source # foldl' :: (b -> a -> b) -> b -> Product a -> b Source # foldr1 :: (a -> a -> a) -> Product a -> a Source # foldl1 :: (a -> a -> a) -> Product a -> a Source # toList :: Product a -> [a] Source # null :: Product a -> Bool Source # length :: Product a -> Int Source # elem :: Eq a => a -> Product a -> Bool Source # maximum :: Ord a => Product a -> a Source # minimum :: Ord a => Product a -> a Source # | |
| Foldable Sum | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Sum m -> m Source # foldMap :: Monoid m => (a -> m) -> Sum a -> m Source # foldMap' :: Monoid m => (a -> m) -> Sum a -> m Source # foldr :: (a -> b -> b) -> b -> Sum a -> b Source # foldr' :: (a -> b -> b) -> b -> Sum a -> b Source # foldl :: (b -> a -> b) -> b -> Sum a -> b Source # foldl' :: (b -> a -> b) -> b -> Sum a -> b Source # foldr1 :: (a -> a -> a) -> Sum a -> a Source # foldl1 :: (a -> a -> a) -> Sum a -> a Source # toList :: Sum a -> [a] Source # null :: Sum a -> Bool Source # length :: Sum a -> Int Source # elem :: Eq a => a -> Sum a -> Bool Source # maximum :: Ord a => Sum a -> a Source # minimum :: Ord a => Sum a -> a Source # | |
| Foldable NonEmpty | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => NonEmpty m -> m Source # foldMap :: Monoid m => (a -> m) -> NonEmpty a -> m Source # foldMap' :: Monoid m => (a -> m) -> NonEmpty a -> m Source # foldr :: (a -> b -> b) -> b -> NonEmpty a -> b Source # foldr' :: (a -> b -> b) -> b -> NonEmpty a -> b Source # foldl :: (b -> a -> b) -> b -> NonEmpty a -> b Source # foldl' :: (b -> a -> b) -> b -> NonEmpty a -> b Source # foldr1 :: (a -> a -> a) -> NonEmpty a -> a Source # foldl1 :: (a -> a -> a) -> NonEmpty a -> a Source # toList :: NonEmpty a -> [a] Source # null :: NonEmpty a -> Bool Source # length :: NonEmpty a -> Int Source # elem :: Eq a => a -> NonEmpty a -> Bool Source # maximum :: Ord a => NonEmpty a -> a Source # minimum :: Ord a => NonEmpty a -> a Source # | |
| Foldable Par1 | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Par1 m -> m Source # foldMap :: Monoid m => (a -> m) -> Par1 a -> m Source # foldMap' :: Monoid m => (a -> m) -> Par1 a -> m Source # foldr :: (a -> b -> b) -> b -> Par1 a -> b Source # foldr' :: (a -> b -> b) -> b -> Par1 a -> b Source # foldl :: (b -> a -> b) -> b -> Par1 a -> b Source # foldl' :: (b -> a -> b) -> b -> Par1 a -> b Source # foldr1 :: (a -> a -> a) -> Par1 a -> a Source # foldl1 :: (a -> a -> a) -> Par1 a -> a Source # toList :: Par1 a -> [a] Source # null :: Par1 a -> Bool Source # length :: Par1 a -> Int Source # elem :: Eq a => a -> Par1 a -> Bool Source # maximum :: Ord a => Par1 a -> a Source # minimum :: Ord a => Par1 a -> a Source # | |
| Foldable IntMap | Folds in order of increasing key. |
Defined in Data.IntMap.Internal Methods fold :: Monoid m => IntMap m -> m Source # foldMap :: Monoid m => (a -> m) -> IntMap a -> m Source # foldMap' :: Monoid m => (a -> m) -> IntMap a -> m Source # foldr :: (a -> b -> b) -> b -> IntMap a -> b Source # foldr' :: (a -> b -> b) -> b -> IntMap a -> b Source # foldl :: (b -> a -> b) -> b -> IntMap a -> b Source # foldl' :: (b -> a -> b) -> b -> IntMap a -> b Source # foldr1 :: (a -> a -> a) -> IntMap a -> a Source # foldl1 :: (a -> a -> a) -> IntMap a -> a Source # toList :: IntMap a -> [a] Source # null :: IntMap a -> Bool Source # length :: IntMap a -> Int Source # elem :: Eq a => a -> IntMap a -> Bool Source # maximum :: Ord a => IntMap a -> a Source # minimum :: Ord a => IntMap a -> a Source # | |
| Foldable Digit | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => Digit m -> m Source # foldMap :: Monoid m => (a -> m) -> Digit a -> m Source # foldMap' :: Monoid m => (a -> m) -> Digit a -> m Source # foldr :: (a -> b -> b) -> b -> Digit a -> b Source # foldr' :: (a -> b -> b) -> b -> Digit a -> b Source # foldl :: (b -> a -> b) -> b -> Digit a -> b Source # foldl' :: (b -> a -> b) -> b -> Digit a -> b Source # foldr1 :: (a -> a -> a) -> Digit a -> a Source # foldl1 :: (a -> a -> a) -> Digit a -> a Source # toList :: Digit a -> [a] Source # null :: Digit a -> Bool Source # length :: Digit a -> Int Source # elem :: Eq a => a -> Digit a -> Bool Source # maximum :: Ord a => Digit a -> a Source # minimum :: Ord a => Digit a -> a Source # | |
| Foldable Elem | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => Elem m -> m Source # foldMap :: Monoid m => (a -> m) -> Elem a -> m Source # foldMap' :: Monoid m => (a -> m) -> Elem a -> m Source # foldr :: (a -> b -> b) -> b -> Elem a -> b Source # foldr' :: (a -> b -> b) -> b -> Elem a -> b Source # foldl :: (b -> a -> b) -> b -> Elem a -> b Source # foldl' :: (b -> a -> b) -> b -> Elem a -> b Source # foldr1 :: (a -> a -> a) -> Elem a -> a Source # foldl1 :: (a -> a -> a) -> Elem a -> a Source # toList :: Elem a -> [a] Source # null :: Elem a -> Bool Source # length :: Elem a -> Int Source # elem :: Eq a => a -> Elem a -> Bool Source # maximum :: Ord a => Elem a -> a Source # minimum :: Ord a => Elem a -> a Source # | |
| Foldable FingerTree | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => FingerTree m -> m Source # foldMap :: Monoid m => (a -> m) -> FingerTree a -> m Source # foldMap' :: Monoid m => (a -> m) -> FingerTree a -> m Source # foldr :: (a -> b -> b) -> b -> FingerTree a -> b Source # foldr' :: (a -> b -> b) -> b -> FingerTree a -> b Source # foldl :: (b -> a -> b) -> b -> FingerTree a -> b Source # foldl' :: (b -> a -> b) -> b -> FingerTree a -> b Source # foldr1 :: (a -> a -> a) -> FingerTree a -> a Source # foldl1 :: (a -> a -> a) -> FingerTree a -> a Source # toList :: FingerTree a -> [a] Source # null :: FingerTree a -> Bool Source # length :: FingerTree a -> Int Source # elem :: Eq a => a -> FingerTree a -> Bool Source # maximum :: Ord a => FingerTree a -> a Source # minimum :: Ord a => FingerTree a -> a Source # sum :: Num a => FingerTree a -> a Source # product :: Num a => FingerTree a -> a Source # | |
| Foldable Node | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => Node m -> m Source # foldMap :: Monoid m => (a -> m) -> Node a -> m Source # foldMap' :: Monoid m => (a -> m) -> Node a -> m Source # foldr :: (a -> b -> b) -> b -> Node a -> b Source # foldr' :: (a -> b -> b) -> b -> Node a -> b Source # foldl :: (b -> a -> b) -> b -> Node a -> b Source # foldl' :: (b -> a -> b) -> b -> Node a -> b Source # foldr1 :: (a -> a -> a) -> Node a -> a Source # foldl1 :: (a -> a -> a) -> Node a -> a Source # toList :: Node a -> [a] Source # null :: Node a -> Bool Source # length :: Node a -> Int Source # elem :: Eq a => a -> Node a -> Bool Source # maximum :: Ord a => Node a -> a Source # minimum :: Ord a => Node a -> a Source # | |
| Foldable Seq | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => Seq m -> m Source # foldMap :: Monoid m => (a -> m) -> Seq a -> m Source # foldMap' :: Monoid m => (a -> m) -> Seq a -> m Source # foldr :: (a -> b -> b) -> b -> Seq a -> b Source # foldr' :: (a -> b -> b) -> b -> Seq a -> b Source # foldl :: (b -> a -> b) -> b -> Seq a -> b Source # foldl' :: (b -> a -> b) -> b -> Seq a -> b Source # foldr1 :: (a -> a -> a) -> Seq a -> a Source # foldl1 :: (a -> a -> a) -> Seq a -> a Source # toList :: Seq a -> [a] Source # null :: Seq a -> Bool Source # length :: Seq a -> Int Source # elem :: Eq a => a -> Seq a -> Bool Source # maximum :: Ord a => Seq a -> a Source # minimum :: Ord a => Seq a -> a Source # | |
| Foldable ViewL | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => ViewL m -> m Source # foldMap :: Monoid m => (a -> m) -> ViewL a -> m Source # foldMap' :: Monoid m => (a -> m) -> ViewL a -> m Source # foldr :: (a -> b -> b) -> b -> ViewL a -> b Source # foldr' :: (a -> b -> b) -> b -> ViewL a -> b Source # foldl :: (b -> a -> b) -> b -> ViewL a -> b Source # foldl' :: (b -> a -> b) -> b -> ViewL a -> b Source # foldr1 :: (a -> a -> a) -> ViewL a -> a Source # foldl1 :: (a -> a -> a) -> ViewL a -> a Source # toList :: ViewL a -> [a] Source # null :: ViewL a -> Bool Source # length :: ViewL a -> Int Source # elem :: Eq a => a -> ViewL a -> Bool Source # maximum :: Ord a => ViewL a -> a Source # minimum :: Ord a => ViewL a -> a Source # | |
| Foldable ViewR | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => ViewR m -> m Source # foldMap :: Monoid m => (a -> m) -> ViewR a -> m Source # foldMap' :: Monoid m => (a -> m) -> ViewR a -> m Source # foldr :: (a -> b -> b) -> b -> ViewR a -> b Source # foldr' :: (a -> b -> b) -> b -> ViewR a -> b Source # foldl :: (b -> a -> b) -> b -> ViewR a -> b Source # foldl' :: (b -> a -> b) -> b -> ViewR a -> b Source # foldr1 :: (a -> a -> a) -> ViewR a -> a Source # foldl1 :: (a -> a -> a) -> ViewR a -> a Source # toList :: ViewR a -> [a] Source # null :: ViewR a -> Bool Source # length :: ViewR a -> Int Source # elem :: Eq a => a -> ViewR a -> Bool Source # maximum :: Ord a => ViewR a -> a Source # minimum :: Ord a => ViewR a -> a Source # | |
| Foldable Set | Folds in order of increasing key. |
Defined in Data.Set.Internal Methods fold :: Monoid m => Set m -> m Source # foldMap :: Monoid m => (a -> m) -> Set a -> m Source # foldMap' :: Monoid m => (a -> m) -> Set a -> m Source # foldr :: (a -> b -> b) -> b -> Set a -> b Source # foldr' :: (a -> b -> b) -> b -> Set a -> b Source # foldl :: (b -> a -> b) -> b -> Set a -> b Source # foldl' :: (b -> a -> b) -> b -> Set a -> b Source # foldr1 :: (a -> a -> a) -> Set a -> a Source # foldl1 :: (a -> a -> a) -> Set a -> a Source # toList :: Set a -> [a] Source # null :: Set a -> Bool Source # length :: Set a -> Int Source # elem :: Eq a => a -> Set a -> Bool Source # maximum :: Ord a => Set a -> a Source # minimum :: Ord a => Set a -> a Source # | |
| Foldable Tree | |
Defined in Data.Tree Methods fold :: Monoid m => Tree m -> m Source # foldMap :: Monoid m => (a -> m) -> Tree a -> m Source # foldMap' :: Monoid m => (a -> m) -> Tree a -> m Source # foldr :: (a -> b -> b) -> b -> Tree a -> b Source # foldr' :: (a -> b -> b) -> b -> Tree a -> b Source # foldl :: (b -> a -> b) -> b -> Tree a -> b Source # foldl' :: (b -> a -> b) -> b -> Tree a -> b Source # foldr1 :: (a -> a -> a) -> Tree a -> a Source # foldl1 :: (a -> a -> a) -> Tree a -> a Source # toList :: Tree a -> [a] Source # null :: Tree a -> Bool Source # length :: Tree a -> Int Source # elem :: Eq a => a -> Tree a -> Bool Source # maximum :: Ord a => Tree a -> a Source # minimum :: Ord a => Tree a -> a Source # | |
| Foldable DList | |
Defined in Data.DList.Internal Methods fold :: Monoid m => DList m -> m Source # foldMap :: Monoid m => (a -> m) -> DList a -> m Source # foldMap' :: Monoid m => (a -> m) -> DList a -> m Source # foldr :: (a -> b -> b) -> b -> DList a -> b Source # foldr' :: (a -> b -> b) -> b -> DList a -> b Source # foldl :: (b -> a -> b) -> b -> DList a -> b Source # foldl' :: (b -> a -> b) -> b -> DList a -> b Source # foldr1 :: (a -> a -> a) -> DList a -> a Source # foldl1 :: (a -> a -> a) -> DList a -> a Source # toList :: DList a -> [a] Source # null :: DList a -> Bool Source # length :: DList a -> Int Source # elem :: Eq a => a -> DList a -> Bool Source # maximum :: Ord a => DList a -> a Source # minimum :: Ord a => DList a -> a Source # | |
| Foldable Hashed | |
Defined in Data.Hashable.Class Methods fold :: Monoid m => Hashed m -> m Source # foldMap :: Monoid m => (a -> m) -> Hashed a -> m Source # foldMap' :: Monoid m => (a -> m) -> Hashed a -> m Source # foldr :: (a -> b -> b) -> b -> Hashed a -> b Source # foldr' :: (a -> b -> b) -> b -> Hashed a -> b Source # foldl :: (b -> a -> b) -> b -> Hashed a -> b Source # foldl' :: (b -> a -> b) -> b -> Hashed a -> b Source # foldr1 :: (a -> a -> a) -> Hashed a -> a Source # foldl1 :: (a -> a -> a) -> Hashed a -> a Source # toList :: Hashed a -> [a] Source # null :: Hashed a -> Bool Source # length :: Hashed a -> Int Source # elem :: Eq a => a -> Hashed a -> Bool Source # maximum :: Ord a => Hashed a -> a Source # minimum :: Ord a => Hashed a -> a Source # | |
| Foldable Array | |
Defined in Data.Primitive.Array Methods fold :: Monoid m => Array m -> m Source # foldMap :: Monoid m => (a -> m) -> Array a -> m Source # foldMap' :: Monoid m => (a -> m) -> Array a -> m Source # foldr :: (a -> b -> b) -> b -> Array a -> b Source # foldr' :: (a -> b -> b) -> b -> Array a -> b Source # foldl :: (b -> a -> b) -> b -> Array a -> b Source # foldl' :: (b -> a -> b) -> b -> Array a -> b Source # foldr1 :: (a -> a -> a) -> Array a -> a Source # foldl1 :: (a -> a -> a) -> Array a -> a Source # toList :: Array a -> [a] Source # null :: Array a -> Bool Source # length :: Array a -> Int Source # elem :: Eq a => a -> Array a -> Bool Source # maximum :: Ord a => Array a -> a Source # minimum :: Ord a => Array a -> a Source # | |
| Foldable SmallArray | |
Defined in Data.Primitive.SmallArray Methods fold :: Monoid m => SmallArray m -> m Source # foldMap :: Monoid m => (a -> m) -> SmallArray a -> m Source # foldMap' :: Monoid m => (a -> m) -> SmallArray a -> m Source # foldr :: (a -> b -> b) -> b -> SmallArray a -> b Source # foldr' :: (a -> b -> b) -> b -> SmallArray a -> b Source # foldl :: (b -> a -> b) -> b -> SmallArray a -> b Source # foldl' :: (b -> a -> b) -> b -> SmallArray a -> b Source # foldr1 :: (a -> a -> a) -> SmallArray a -> a Source # foldl1 :: (a -> a -> a) -> SmallArray a -> a Source # toList :: SmallArray a -> [a] Source # null :: SmallArray a -> Bool Source # length :: SmallArray a -> Int Source # elem :: Eq a => a -> SmallArray a -> Bool Source # maximum :: Ord a => SmallArray a -> a Source # minimum :: Ord a => SmallArray a -> a Source # sum :: Num a => SmallArray a -> a Source # product :: Num a => SmallArray a -> a Source # | |
| Foldable HashSet | |
Defined in Data.HashSet.Internal Methods fold :: Monoid m => HashSet m -> m Source # foldMap :: Monoid m => (a -> m) -> HashSet a -> m Source # foldMap' :: Monoid m => (a -> m) -> HashSet a -> m Source # foldr :: (a -> b -> b) -> b -> HashSet a -> b Source # foldr' :: (a -> b -> b) -> b -> HashSet a -> b Source # foldl :: (b -> a -> b) -> b -> HashSet a -> b Source # foldl' :: (b -> a -> b) -> b -> HashSet a -> b Source # foldr1 :: (a -> a -> a) -> HashSet a -> a Source # foldl1 :: (a -> a -> a) -> HashSet a -> a Source # toList :: HashSet a -> [a] Source # null :: HashSet a -> Bool Source # length :: HashSet a -> Int Source # elem :: Eq a => a -> HashSet a -> Bool Source # maximum :: Ord a => HashSet a -> a Source # minimum :: Ord a => HashSet a -> a Source # | |
| Foldable Vector | |
Defined in Data.Vector Methods fold :: Monoid m => Vector m -> m Source # foldMap :: Monoid m => (a -> m) -> Vector a -> m Source # foldMap' :: Monoid m => (a -> m) -> Vector a -> m Source # foldr :: (a -> b -> b) -> b -> Vector a -> b Source # foldr' :: (a -> b -> b) -> b -> Vector a -> b Source # foldl :: (b -> a -> b) -> b -> Vector a -> b Source # foldl' :: (b -> a -> b) -> b -> Vector a -> b Source # foldr1 :: (a -> a -> a) -> Vector a -> a Source # foldl1 :: (a -> a -> a) -> Vector a -> a Source # toList :: Vector a -> [a] Source # null :: Vector a -> Bool Source # length :: Vector a -> Int Source # elem :: Eq a => a -> Vector a -> Bool Source # maximum :: Ord a => Vector a -> a Source # minimum :: Ord a => Vector a -> a Source # | |
| Foldable Maybe | Since: base-2.1 |
Defined in Data.Foldable Methods fold :: Monoid m => Maybe m -> m Source # foldMap :: Monoid m => (a -> m) -> Maybe a -> m Source # foldMap' :: Monoid m => (a -> m) -> Maybe a -> m Source # foldr :: (a -> b -> b) -> b -> Maybe a -> b Source # foldr' :: (a -> b -> b) -> b -> Maybe a -> b Source # foldl :: (b -> a -> b) -> b -> Maybe a -> b Source # foldl' :: (b -> a -> b) -> b -> Maybe a -> b Source # foldr1 :: (a -> a -> a) -> Maybe a -> a Source # foldl1 :: (a -> a -> a) -> Maybe a -> a Source # toList :: Maybe a -> [a] Source # null :: Maybe a -> Bool Source # length :: Maybe a -> Int Source # elem :: Eq a => a -> Maybe a -> Bool Source # maximum :: Ord a => Maybe a -> a Source # minimum :: Ord a => Maybe a -> a Source # | |
| Foldable Solo | Since: base-4.15 |
Defined in Data.Foldable Methods fold :: Monoid m => Solo m -> m Source # foldMap :: Monoid m => (a -> m) -> Solo a -> m Source # foldMap' :: Monoid m => (a -> m) -> Solo a -> m Source # foldr :: (a -> b -> b) -> b -> Solo a -> b Source # foldr' :: (a -> b -> b) -> b -> Solo a -> b Source # foldl :: (b -> a -> b) -> b -> Solo a -> b Source # foldl' :: (b -> a -> b) -> b -> Solo a -> b Source # foldr1 :: (a -> a -> a) -> Solo a -> a Source # foldl1 :: (a -> a -> a) -> Solo a -> a Source # toList :: Solo a -> [a] Source # null :: Solo a -> Bool Source # length :: Solo a -> Int Source # elem :: Eq a => a -> Solo a -> Bool Source # maximum :: Ord a => Solo a -> a Source # minimum :: Ord a => Solo a -> a Source # | |
| Foldable [] | Since: base-2.1 |
Defined in Data.Foldable Methods fold :: Monoid m => [m] -> m Source # foldMap :: Monoid m => (a -> m) -> [a] -> m Source # foldMap' :: Monoid m => (a -> m) -> [a] -> m Source # foldr :: (a -> b -> b) -> b -> [a] -> b Source # foldr' :: (a -> b -> b) -> b -> [a] -> b Source # foldl :: (b -> a -> b) -> b -> [a] -> b Source # foldl' :: (b -> a -> b) -> b -> [a] -> b Source # foldr1 :: (a -> a -> a) -> [a] -> a Source # foldl1 :: (a -> a -> a) -> [a] -> a Source # elem :: Eq a => a -> [a] -> Bool Source # maximum :: Ord a => [a] -> a Source # minimum :: Ord a => [a] -> a Source # | |
| Foldable (Either a) | Since: base-4.7.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Either a m -> m Source # foldMap :: Monoid m => (a0 -> m) -> Either a a0 -> m Source # foldMap' :: Monoid m => (a0 -> m) -> Either a a0 -> m Source # foldr :: (a0 -> b -> b) -> b -> Either a a0 -> b Source # foldr' :: (a0 -> b -> b) -> b -> Either a a0 -> b Source # foldl :: (b -> a0 -> b) -> b -> Either a a0 -> b Source # foldl' :: (b -> a0 -> b) -> b -> Either a a0 -> b Source # foldr1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 Source # foldl1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 Source # toList :: Either a a0 -> [a0] Source # null :: Either a a0 -> Bool Source # length :: Either a a0 -> Int Source # elem :: Eq a0 => a0 -> Either a a0 -> Bool Source # maximum :: Ord a0 => Either a a0 -> a0 Source # minimum :: Ord a0 => Either a a0 -> a0 Source # | |
| Foldable (Proxy :: Type -> Type) | Since: base-4.7.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Proxy m -> m Source # foldMap :: Monoid m => (a -> m) -> Proxy a -> m Source # foldMap' :: Monoid m => (a -> m) -> Proxy a -> m Source # foldr :: (a -> b -> b) -> b -> Proxy a -> b Source # foldr' :: (a -> b -> b) -> b -> Proxy a -> b Source # foldl :: (b -> a -> b) -> b -> Proxy a -> b Source # foldl' :: (b -> a -> b) -> b -> Proxy a -> b Source # foldr1 :: (a -> a -> a) -> Proxy a -> a Source # foldl1 :: (a -> a -> a) -> Proxy a -> a Source # toList :: Proxy a -> [a] Source # null :: Proxy a -> Bool Source # length :: Proxy a -> Int Source # elem :: Eq a => a -> Proxy a -> Bool Source # maximum :: Ord a => Proxy a -> a Source # minimum :: Ord a => Proxy a -> a Source # | |
| Foldable (Arg a) | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => Arg a m -> m Source # foldMap :: Monoid m => (a0 -> m) -> Arg a a0 -> m Source # foldMap' :: Monoid m => (a0 -> m) -> Arg a a0 -> m Source # foldr :: (a0 -> b -> b) -> b -> Arg a a0 -> b Source # foldr' :: (a0 -> b -> b) -> b -> Arg a a0 -> b Source # foldl :: (b -> a0 -> b) -> b -> Arg a a0 -> b Source # foldl' :: (b -> a0 -> b) -> b -> Arg a a0 -> b Source # foldr1 :: (a0 -> a0 -> a0) -> Arg a a0 -> a0 Source # foldl1 :: (a0 -> a0 -> a0) -> Arg a a0 -> a0 Source # toList :: Arg a a0 -> [a0] Source # null :: Arg a a0 -> Bool Source # length :: Arg a a0 -> Int Source # elem :: Eq a0 => a0 -> Arg a a0 -> Bool Source # maximum :: Ord a0 => Arg a a0 -> a0 Source # minimum :: Ord a0 => Arg a a0 -> a0 Source # | |
| Foldable (Array i) | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Array i m -> m Source # foldMap :: Monoid m => (a -> m) -> Array i a -> m Source # foldMap' :: Monoid m => (a -> m) -> Array i a -> m Source # foldr :: (a -> b -> b) -> b -> Array i a -> b Source # foldr' :: (a -> b -> b) -> b -> Array i a -> b Source # foldl :: (b -> a -> b) -> b -> Array i a -> b Source # foldl' :: (b -> a -> b) -> b -> Array i a -> b Source # foldr1 :: (a -> a -> a) -> Array i a -> a Source # foldl1 :: (a -> a -> a) -> Array i a -> a Source # toList :: Array i a -> [a] Source # null :: Array i a -> Bool Source # length :: Array i a -> Int Source # elem :: Eq a => a -> Array i a -> Bool Source # maximum :: Ord a => Array i a -> a Source # minimum :: Ord a => Array i a -> a Source # | |
| Foldable (U1 :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => U1 m -> m Source # foldMap :: Monoid m => (a -> m) -> U1 a -> m Source # foldMap' :: Monoid m => (a -> m) -> U1 a -> m Source # foldr :: (a -> b -> b) -> b -> U1 a -> b Source # foldr' :: (a -> b -> b) -> b -> U1 a -> b Source # foldl :: (b -> a -> b) -> b -> U1 a -> b Source # foldl' :: (b -> a -> b) -> b -> U1 a -> b Source # foldr1 :: (a -> a -> a) -> U1 a -> a Source # foldl1 :: (a -> a -> a) -> U1 a -> a Source # toList :: U1 a -> [a] Source # length :: U1 a -> Int Source # elem :: Eq a => a -> U1 a -> Bool Source # maximum :: Ord a => U1 a -> a Source # minimum :: Ord a => U1 a -> a Source # | |
| Foldable (UAddr :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => UAddr m -> m Source # foldMap :: Monoid m => (a -> m) -> UAddr a -> m Source # foldMap' :: Monoid m => (a -> m) -> UAddr a -> m Source # foldr :: (a -> b -> b) -> b -> UAddr a -> b Source # foldr' :: (a -> b -> b) -> b -> UAddr a -> b Source # foldl :: (b -> a -> b) -> b -> UAddr a -> b Source # foldl' :: (b -> a -> b) -> b -> UAddr a -> b Source # foldr1 :: (a -> a -> a) -> UAddr a -> a Source # foldl1 :: (a -> a -> a) -> UAddr a -> a Source # toList :: UAddr a -> [a] Source # null :: UAddr a -> Bool Source # length :: UAddr a -> Int Source # elem :: Eq a => a -> UAddr a -> Bool Source # maximum :: Ord a => UAddr a -> a Source # minimum :: Ord a => UAddr a -> a Source # | |
| Foldable (UChar :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => UChar m -> m Source # foldMap :: Monoid m => (a -> m) -> UChar a -> m Source # foldMap' :: Monoid m => (a -> m) -> UChar a -> m Source # foldr :: (a -> b -> b) -> b -> UChar a -> b Source # foldr' :: (a -> b -> b) -> b -> UChar a -> b Source # foldl :: (b -> a -> b) -> b -> UChar a -> b Source # foldl' :: (b -> a -> b) -> b -> UChar a -> b Source # foldr1 :: (a -> a -> a) -> UChar a -> a Source # foldl1 :: (a -> a -> a) -> UChar a -> a Source # toList :: UChar a -> [a] Source # null :: UChar a -> Bool Source # length :: UChar a -> Int Source # elem :: Eq a => a -> UChar a -> Bool Source # maximum :: Ord a => UChar a -> a Source # minimum :: Ord a => UChar a -> a Source # | |
| Foldable (UDouble :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => UDouble m -> m Source # foldMap :: Monoid m => (a -> m) -> UDouble a -> m Source # foldMap' :: Monoid m => (a -> m) -> UDouble a -> m Source # foldr :: (a -> b -> b) -> b -> UDouble a -> b Source # foldr' :: (a -> b -> b) -> b -> UDouble a -> b Source # foldl :: (b -> a -> b) -> b -> UDouble a -> b Source # foldl' :: (b -> a -> b) -> b -> UDouble a -> b Source # foldr1 :: (a -> a -> a) -> UDouble a -> a Source # foldl1 :: (a -> a -> a) -> UDouble a -> a Source # toList :: UDouble a -> [a] Source # null :: UDouble a -> Bool Source # length :: UDouble a -> Int Source # elem :: Eq a => a -> UDouble a -> Bool Source # maximum :: Ord a => UDouble a -> a Source # minimum :: Ord a => UDouble a -> a Source # | |
| Foldable (UFloat :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => UFloat m -> m Source # foldMap :: Monoid m => (a -> m) -> UFloat a -> m Source # foldMap' :: Monoid m => (a -> m) -> UFloat a -> m Source # foldr :: (a -> b -> b) -> b -> UFloat a -> b Source # foldr' :: (a -> b -> b) -> b -> UFloat a -> b Source # foldl :: (b -> a -> b) -> b -> UFloat a -> b Source # foldl' :: (b -> a -> b) -> b -> UFloat a -> b Source # foldr1 :: (a -> a -> a) -> UFloat a -> a Source # foldl1 :: (a -> a -> a) -> UFloat a -> a Source # toList :: UFloat a -> [a] Source # null :: UFloat a -> Bool Source # length :: UFloat a -> Int Source # elem :: Eq a => a -> UFloat a -> Bool Source # maximum :: Ord a => UFloat a -> a Source # minimum :: Ord a => UFloat a -> a Source # | |
| Foldable (UInt :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => UInt m -> m Source # foldMap :: Monoid m => (a -> m) -> UInt a -> m Source # foldMap' :: Monoid m => (a -> m) -> UInt a -> m Source # foldr :: (a -> b -> b) -> b -> UInt a -> b Source # foldr' :: (a -> b -> b) -> b -> UInt a -> b Source # foldl :: (b -> a -> b) -> b -> UInt a -> b Source # foldl' :: (b -> a -> b) -> b -> UInt a -> b Source # foldr1 :: (a -> a -> a) -> UInt a -> a Source # foldl1 :: (a -> a -> a) -> UInt a -> a Source # toList :: UInt a -> [a] Source # null :: UInt a -> Bool Source # length :: UInt a -> Int Source # elem :: Eq a => a -> UInt a -> Bool Source # maximum :: Ord a => UInt a -> a Source # minimum :: Ord a => UInt a -> a Source # | |
| Foldable (UWord :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => UWord m -> m Source # foldMap :: Monoid m => (a -> m) -> UWord a -> m Source # foldMap' :: Monoid m => (a -> m) -> UWord a -> m Source # foldr :: (a -> b -> b) -> b -> UWord a -> b Source # foldr' :: (a -> b -> b) -> b -> UWord a -> b Source # foldl :: (b -> a -> b) -> b -> UWord a -> b Source # foldl' :: (b -> a -> b) -> b -> UWord a -> b Source # foldr1 :: (a -> a -> a) -> UWord a -> a Source # foldl1 :: (a -> a -> a) -> UWord a -> a Source # toList :: UWord a -> [a] Source # null :: UWord a -> Bool Source # length :: UWord a -> Int Source # elem :: Eq a => a -> UWord a -> Bool Source # maximum :: Ord a => UWord a -> a Source # minimum :: Ord a => UWord a -> a Source # | |
| Foldable (V1 :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => V1 m -> m Source # foldMap :: Monoid m => (a -> m) -> V1 a -> m Source # foldMap' :: Monoid m => (a -> m) -> V1 a -> m Source # foldr :: (a -> b -> b) -> b -> V1 a -> b Source # foldr' :: (a -> b -> b) -> b -> V1 a -> b Source # foldl :: (b -> a -> b) -> b -> V1 a -> b Source # foldl' :: (b -> a -> b) -> b -> V1 a -> b Source # foldr1 :: (a -> a -> a) -> V1 a -> a Source # foldl1 :: (a -> a -> a) -> V1 a -> a Source # toList :: V1 a -> [a] Source # length :: V1 a -> Int Source # elem :: Eq a => a -> V1 a -> Bool Source # maximum :: Ord a => V1 a -> a Source # minimum :: Ord a => V1 a -> a Source # | |
| Foldable (Map k) | Folds in order of increasing key. |
Defined in Data.Map.Internal Methods fold :: Monoid m => Map k m -> m Source # foldMap :: Monoid m => (a -> m) -> Map k a -> m Source # foldMap' :: Monoid m => (a -> m) -> Map k a -> m Source # foldr :: (a -> b -> b) -> b -> Map k a -> b Source # foldr' :: (a -> b -> b) -> b -> Map k a -> b Source # foldl :: (b -> a -> b) -> b -> Map k a -> b Source # foldl' :: (b -> a -> b) -> b -> Map k a -> b Source # foldr1 :: (a -> a -> a) -> Map k a -> a Source # foldl1 :: (a -> a -> a) -> Map k a -> a Source # toList :: Map k a -> [a] Source # null :: Map k a -> Bool Source # length :: Map k a -> Int Source # elem :: Eq a => a -> Map k a -> Bool Source # maximum :: Ord a => Map k a -> a Source # minimum :: Ord a => Map k a -> a Source # | |
| Foldable f => Foldable (Cofree f) | |
Defined in Control.Comonad.Cofree Methods fold :: Monoid m => Cofree f m -> m Source # foldMap :: Monoid m => (a -> m) -> Cofree f a -> m Source # foldMap' :: Monoid m => (a -> m) -> Cofree f a -> m Source # foldr :: (a -> b -> b) -> b -> Cofree f a -> b Source # foldr' :: (a -> b -> b) -> b -> Cofree f a -> b Source # foldl :: (b -> a -> b) -> b -> Cofree f a -> b Source # foldl' :: (b -> a -> b) -> b -> Cofree f a -> b Source # foldr1 :: (a -> a -> a) -> Cofree f a -> a Source # foldl1 :: (a -> a -> a) -> Cofree f a -> a Source # toList :: Cofree f a -> [a] Source # null :: Cofree f a -> Bool Source # length :: Cofree f a -> Int Source # elem :: Eq a => a -> Cofree f a -> Bool Source # maximum :: Ord a => Cofree f a -> a Source # minimum :: Ord a => Cofree f a -> a Source # | |
| Foldable f => Foldable (Free f) | |
Defined in Control.Monad.Free Methods fold :: Monoid m => Free f m -> m Source # foldMap :: Monoid m => (a -> m) -> Free f a -> m Source # foldMap' :: Monoid m => (a -> m) -> Free f a -> m Source # foldr :: (a -> b -> b) -> b -> Free f a -> b Source # foldr' :: (a -> b -> b) -> b -> Free f a -> b Source # foldl :: (b -> a -> b) -> b -> Free f a -> b Source # foldl' :: (b -> a -> b) -> b -> Free f a -> b Source # foldr1 :: (a -> a -> a) -> Free f a -> a Source # foldl1 :: (a -> a -> a) -> Free f a -> a Source # toList :: Free f a -> [a] Source # null :: Free f a -> Bool Source # length :: Free f a -> Int Source # elem :: Eq a => a -> Free f a -> Bool Source # maximum :: Ord a => Free f a -> a Source # minimum :: Ord a => Free f a -> a Source # | |
| MonoFoldable mono => Foldable (WrappedMono mono) | |
Defined in Data.MonoTraversable Methods fold :: Monoid m => WrappedMono mono m -> m Source # foldMap :: Monoid m => (a -> m) -> WrappedMono mono a -> m Source # foldMap' :: Monoid m => (a -> m) -> WrappedMono mono a -> m Source # foldr :: (a -> b -> b) -> b -> WrappedMono mono a -> b Source # foldr' :: (a -> b -> b) -> b -> WrappedMono mono a -> b Source # foldl :: (b -> a -> b) -> b -> WrappedMono mono a -> b Source # foldl' :: (b -> a -> b) -> b -> WrappedMono mono a -> b Source # foldr1 :: (a -> a -> a) -> WrappedMono mono a -> a Source # foldl1 :: (a -> a -> a) -> WrappedMono mono a -> a Source # toList :: WrappedMono mono a -> [a] Source # null :: WrappedMono mono a -> Bool Source # length :: WrappedMono mono a -> Int Source # elem :: Eq a => a -> WrappedMono mono a -> Bool Source # maximum :: Ord a => WrappedMono mono a -> a Source # minimum :: Ord a => WrappedMono mono a -> a Source # sum :: Num a => WrappedMono mono a -> a Source # product :: Num a => WrappedMono mono a -> a Source # | |
| Foldable f => Foldable (WrappedPoly f) | |
Defined in Data.MonoTraversable Methods fold :: Monoid m => WrappedPoly f m -> m Source # foldMap :: Monoid m => (a -> m) -> WrappedPoly f a -> m Source # foldMap' :: Monoid m => (a -> m) -> WrappedPoly f a -> m Source # foldr :: (a -> b -> b) -> b -> WrappedPoly f a -> b Source # foldr' :: (a -> b -> b) -> b -> WrappedPoly f a -> b Source # foldl :: (b -> a -> b) -> b -> WrappedPoly f a -> b Source # foldl' :: (b -> a -> b) -> b -> WrappedPoly f a -> b Source # foldr1 :: (a -> a -> a) -> WrappedPoly f a -> a Source # foldl1 :: (a -> a -> a) -> WrappedPoly f a -> a Source # toList :: WrappedPoly f a -> [a] Source # null :: WrappedPoly f a -> Bool Source # length :: WrappedPoly f a -> Int Source # elem :: Eq a => a -> WrappedPoly f a -> Bool Source # maximum :: Ord a => WrappedPoly f a -> a Source # minimum :: Ord a => WrappedPoly f a -> a Source # sum :: Num a => WrappedPoly f a -> a Source # product :: Num a => WrappedPoly f a -> a Source # | |
| Foldable f => Foldable (ListT f) | |
Defined in Control.Monad.Trans.List Methods fold :: Monoid m => ListT f m -> m Source # foldMap :: Monoid m => (a -> m) -> ListT f a -> m Source # foldMap' :: Monoid m => (a -> m) -> ListT f a -> m Source # foldr :: (a -> b -> b) -> b -> ListT f a -> b Source # foldr' :: (a -> b -> b) -> b -> ListT f a -> b Source # foldl :: (b -> a -> b) -> b -> ListT f a -> b Source # foldl' :: (b -> a -> b) -> b -> ListT f a -> b Source # foldr1 :: (a -> a -> a) -> ListT f a -> a Source # foldl1 :: (a -> a -> a) -> ListT f a -> a Source # toList :: ListT f a -> [a] Source # null :: ListT f a -> Bool Source # length :: ListT f a -> Int Source # elem :: Eq a => a -> ListT f a -> Bool Source # maximum :: Ord a => ListT f a -> a Source # minimum :: Ord a => ListT f a -> a Source # | |
| Foldable f => Foldable (MaybeT f) | |
Defined in Control.Monad.Trans.Maybe Methods fold :: Monoid m => MaybeT f m -> m Source # foldMap :: Monoid m => (a -> m) -> MaybeT f a -> m Source # foldMap' :: Monoid m => (a -> m) -> MaybeT f a -> m Source # foldr :: (a -> b -> b) -> b -> MaybeT f a -> b Source # foldr' :: (a -> b -> b) -> b -> MaybeT f a -> b Source # foldl :: (b -> a -> b) -> b -> MaybeT f a -> b Source # foldl' :: (b -> a -> b) -> b -> MaybeT f a -> b Source # foldr1 :: (a -> a -> a) -> MaybeT f a -> a Source # foldl1 :: (a -> a -> a) -> MaybeT f a -> a Source # toList :: MaybeT f a -> [a] Source # null :: MaybeT f a -> Bool Source # length :: MaybeT f a -> Int Source # elem :: Eq a => a -> MaybeT f a -> Bool Source # maximum :: Ord a => MaybeT f a -> a Source # minimum :: Ord a => MaybeT f a -> a Source # | |
| Foldable (HashMap k) | |
Defined in Data.HashMap.Internal Methods fold :: Monoid m => HashMap k m -> m Source # foldMap :: Monoid m => (a -> m) -> HashMap k a -> m Source # foldMap' :: Monoid m => (a -> m) -> HashMap k a -> m Source # foldr :: (a -> b -> b) -> b -> HashMap k a -> b Source # foldr' :: (a -> b -> b) -> b -> HashMap k a -> b Source # foldl :: (b -> a -> b) -> b -> HashMap k a -> b Source # foldl' :: (b -> a -> b) -> b -> HashMap k a -> b Source # foldr1 :: (a -> a -> a) -> HashMap k a -> a Source # foldl1 :: (a -> a -> a) -> HashMap k a -> a Source # toList :: HashMap k a -> [a] Source # null :: HashMap k a -> Bool Source # length :: HashMap k a -> Int Source # elem :: Eq a => a -> HashMap k a -> Bool Source # maximum :: Ord a => HashMap k a -> a Source # minimum :: Ord a => HashMap k a -> a Source # | |
| Foldable ((,) a) | Since: base-4.7.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => (a, m) -> m Source # foldMap :: Monoid m => (a0 -> m) -> (a, a0) -> m Source # foldMap' :: Monoid m => (a0 -> m) -> (a, a0) -> m Source # foldr :: (a0 -> b -> b) -> b -> (a, a0) -> b Source # foldr' :: (a0 -> b -> b) -> b -> (a, a0) -> b Source # foldl :: (b -> a0 -> b) -> b -> (a, a0) -> b Source # foldl' :: (b -> a0 -> b) -> b -> (a, a0) -> b Source # foldr1 :: (a0 -> a0 -> a0) -> (a, a0) -> a0 Source # foldl1 :: (a0 -> a0 -> a0) -> (a, a0) -> a0 Source # toList :: (a, a0) -> [a0] Source # null :: (a, a0) -> Bool Source # length :: (a, a0) -> Int Source # elem :: Eq a0 => a0 -> (a, a0) -> Bool Source # maximum :: Ord a0 => (a, a0) -> a0 Source # minimum :: Ord a0 => (a, a0) -> a0 Source # | |
| Foldable (Const m :: Type -> Type) | Since: base-4.7.0.0 |
Defined in Data.Functor.Const Methods fold :: Monoid m0 => Const m m0 -> m0 Source # foldMap :: Monoid m0 => (a -> m0) -> Const m a -> m0 Source # foldMap' :: Monoid m0 => (a -> m0) -> Const m a -> m0 Source # foldr :: (a -> b -> b) -> b -> Const m a -> b Source # foldr' :: (a -> b -> b) -> b -> Const m a -> b Source # foldl :: (b -> a -> b) -> b -> Const m a -> b Source # foldl' :: (b -> a -> b) -> b -> Const m a -> b Source # foldr1 :: (a -> a -> a) -> Const m a -> a Source # foldl1 :: (a -> a -> a) -> Const m a -> a Source # toList :: Const m a -> [a] Source # null :: Const m a -> Bool Source # length :: Const m a -> Int Source # elem :: Eq a => a -> Const m a -> Bool Source # maximum :: Ord a => Const m a -> a Source # minimum :: Ord a => Const m a -> a Source # | |
| Foldable f => Foldable (Ap f) | Since: base-4.12.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Ap f m -> m Source # foldMap :: Monoid m => (a -> m) -> Ap f a -> m Source # foldMap' :: Monoid m => (a -> m) -> Ap f a -> m Source # foldr :: (a -> b -> b) -> b -> Ap f a -> b Source # foldr' :: (a -> b -> b) -> b -> Ap f a -> b Source # foldl :: (b -> a -> b) -> b -> Ap f a -> b Source # foldl' :: (b -> a -> b) -> b -> Ap f a -> b Source # foldr1 :: (a -> a -> a) -> Ap f a -> a Source # foldl1 :: (a -> a -> a) -> Ap f a -> a Source # toList :: Ap f a -> [a] Source # null :: Ap f a -> Bool Source # length :: Ap f a -> Int Source # elem :: Eq a => a -> Ap f a -> Bool Source # maximum :: Ord a => Ap f a -> a Source # minimum :: Ord a => Ap f a -> a Source # | |
| Foldable f => Foldable (Alt f) | Since: base-4.12.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Alt f m -> m Source # foldMap :: Monoid m => (a -> m) -> Alt f a -> m Source # foldMap' :: Monoid m => (a -> m) -> Alt f a -> m Source # foldr :: (a -> b -> b) -> b -> Alt f a -> b Source # foldr' :: (a -> b -> b) -> b -> Alt f a -> b Source # foldl :: (b -> a -> b) -> b -> Alt f a -> b Source # foldl' :: (b -> a -> b) -> b -> Alt f a -> b Source # foldr1 :: (a -> a -> a) -> Alt f a -> a Source # foldl1 :: (a -> a -> a) -> Alt f a -> a Source # toList :: Alt f a -> [a] Source # null :: Alt f a -> Bool Source # length :: Alt f a -> Int Source # elem :: Eq a => a -> Alt f a -> Bool Source # maximum :: Ord a => Alt f a -> a Source # minimum :: Ord a => Alt f a -> a Source # | |
| Foldable f => Foldable (Rec1 f) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Rec1 f m -> m Source # foldMap :: Monoid m => (a -> m) -> Rec1 f a -> m Source # foldMap' :: Monoid m => (a -> m) -> Rec1 f a -> m Source # foldr :: (a -> b -> b) -> b -> Rec1 f a -> b Source # foldr' :: (a -> b -> b) -> b -> Rec1 f a -> b Source # foldl :: (b -> a -> b) -> b -> Rec1 f a -> b Source # foldl' :: (b -> a -> b) -> b -> Rec1 f a -> b Source # foldr1 :: (a -> a -> a) -> Rec1 f a -> a Source # foldl1 :: (a -> a -> a) -> Rec1 f a -> a Source # toList :: Rec1 f a -> [a] Source # null :: Rec1 f a -> Bool Source # length :: Rec1 f a -> Int Source # elem :: Eq a => a -> Rec1 f a -> Bool Source # maximum :: Ord a => Rec1 f a -> a Source # minimum :: Ord a => Rec1 f a -> a Source # | |
| Bifoldable p => Foldable (Join p) | |
Defined in Data.Bifunctor.Join Methods fold :: Monoid m => Join p m -> m Source # foldMap :: Monoid m => (a -> m) -> Join p a -> m Source # foldMap' :: Monoid m => (a -> m) -> Join p a -> m Source # foldr :: (a -> b -> b) -> b -> Join p a -> b Source # foldr' :: (a -> b -> b) -> b -> Join p a -> b Source # foldl :: (b -> a -> b) -> b -> Join p a -> b Source # foldl' :: (b -> a -> b) -> b -> Join p a -> b Source # foldr1 :: (a -> a -> a) -> Join p a -> a Source # foldl1 :: (a -> a -> a) -> Join p a -> a Source # toList :: Join p a -> [a] Source # null :: Join p a -> Bool Source # length :: Join p a -> Int Source # elem :: Eq a => a -> Join p a -> Bool Source # maximum :: Ord a => Join p a -> a Source # minimum :: Ord a => Join p a -> a Source # | |
| Foldable w => Foldable (EnvT e w) | |
Defined in Control.Comonad.Trans.Env Methods fold :: Monoid m => EnvT e w m -> m Source # foldMap :: Monoid m => (a -> m) -> EnvT e w a -> m Source # foldMap' :: Monoid m => (a -> m) -> EnvT e w a -> m Source # foldr :: (a -> b -> b) -> b -> EnvT e w a -> b Source # foldr' :: (a -> b -> b) -> b -> EnvT e w a -> b Source # foldl :: (b -> a -> b) -> b -> EnvT e w a -> b Source # foldl' :: (b -> a -> b) -> b -> EnvT e w a -> b Source # foldr1 :: (a -> a -> a) -> EnvT e w a -> a Source # foldl1 :: (a -> a -> a) -> EnvT e w a -> a Source # toList :: EnvT e w a -> [a] Source # null :: EnvT e w a -> Bool Source # length :: EnvT e w a -> Int Source # elem :: Eq a => a -> EnvT e w a -> Bool Source # maximum :: Ord a => EnvT e w a -> a Source # minimum :: Ord a => EnvT e w a -> a Source # | |
| Foldable f => Foldable (FreeF f a) | |
Defined in Control.Monad.Trans.Free Methods fold :: Monoid m => FreeF f a m -> m Source # foldMap :: Monoid m => (a0 -> m) -> FreeF f a a0 -> m Source # foldMap' :: Monoid m => (a0 -> m) -> FreeF f a a0 -> m Source # foldr :: (a0 -> b -> b) -> b -> FreeF f a a0 -> b Source # foldr' :: (a0 -> b -> b) -> b -> FreeF f a a0 -> b Source # foldl :: (b -> a0 -> b) -> b -> FreeF f a a0 -> b Source # foldl' :: (b -> a0 -> b) -> b -> FreeF f a a0 -> b Source # foldr1 :: (a0 -> a0 -> a0) -> FreeF f a a0 -> a0 Source # foldl1 :: (a0 -> a0 -> a0) -> FreeF f a a0 -> a0 Source # toList :: FreeF f a a0 -> [a0] Source # null :: FreeF f a a0 -> Bool Source # length :: FreeF f a a0 -> Int Source # elem :: Eq a0 => a0 -> FreeF f a a0 -> Bool Source # maximum :: Ord a0 => FreeF f a a0 -> a0 Source # minimum :: Ord a0 => FreeF f a a0 -> a0 Source # | |
| (Foldable m, Foldable f) => Foldable (FreeT f m) | |
Defined in Control.Monad.Trans.Free Methods fold :: Monoid m0 => FreeT f m m0 -> m0 Source # foldMap :: Monoid m0 => (a -> m0) -> FreeT f m a -> m0 Source # foldMap' :: Monoid m0 => (a -> m0) -> FreeT f m a -> m0 Source # foldr :: (a -> b -> b) -> b -> FreeT f m a -> b Source # foldr' :: (a -> b -> b) -> b -> FreeT f m a -> b Source # foldl :: (b -> a -> b) -> b -> FreeT f m a -> b Source # foldl' :: (b -> a -> b) -> b -> FreeT f m a -> b Source # foldr1 :: (a -> a -> a) -> FreeT f m a -> a Source # foldl1 :: (a -> a -> a) -> FreeT f m a -> a Source # toList :: FreeT f m a -> [a] Source # null :: FreeT f m a -> Bool Source # length :: FreeT f m a -> Int Source # elem :: Eq a => a -> FreeT f m a -> Bool Source # maximum :: Ord a => FreeT f m a -> a Source # minimum :: Ord a => FreeT f m a -> a Source # | |
| Foldable (Tagged s) | |
Defined in Data.Tagged Methods fold :: Monoid m => Tagged s m -> m Source # foldMap :: Monoid m => (a -> m) -> Tagged s a -> m Source # foldMap' :: Monoid m => (a -> m) -> Tagged s a -> m Source # foldr :: (a -> b -> b) -> b -> Tagged s a -> b Source # foldr' :: (a -> b -> b) -> b -> Tagged s a -> b Source # foldl :: (b -> a -> b) -> b -> Tagged s a -> b Source # foldl' :: (b -> a -> b) -> b -> Tagged s a -> b Source # foldr1 :: (a -> a -> a) -> Tagged s a -> a Source # foldl1 :: (a -> a -> a) -> Tagged s a -> a Source # toList :: Tagged s a -> [a] Source # null :: Tagged s a -> Bool Source # length :: Tagged s a -> Int Source # elem :: Eq a => a -> Tagged s a -> Bool Source # maximum :: Ord a => Tagged s a -> a Source # minimum :: Ord a => Tagged s a -> a Source # | |
| Foldable f => Foldable (ErrorT e f) | |
Defined in Control.Monad.Trans.Error Methods fold :: Monoid m => ErrorT e f m -> m Source # foldMap :: Monoid m => (a -> m) -> ErrorT e f a -> m Source # foldMap' :: Monoid m => (a -> m) -> ErrorT e f a -> m Source # foldr :: (a -> b -> b) -> b -> ErrorT e f a -> b Source # foldr' :: (a -> b -> b) -> b -> ErrorT e f a -> b Source # foldl :: (b -> a -> b) -> b -> ErrorT e f a -> b Source # foldl' :: (b -> a -> b) -> b -> ErrorT e f a -> b Source # foldr1 :: (a -> a -> a) -> ErrorT e f a -> a Source # foldl1 :: (a -> a -> a) -> ErrorT e f a -> a Source # toList :: ErrorT e f a -> [a] Source # null :: ErrorT e f a -> Bool Source # length :: ErrorT e f a -> Int Source # elem :: Eq a => a -> ErrorT e f a -> Bool Source # maximum :: Ord a => ErrorT e f a -> a Source # minimum :: Ord a => ErrorT e f a -> a Source # | |
| Foldable f => Foldable (IdentityT f) | |
Defined in Control.Monad.Trans.Identity Methods fold :: Monoid m => IdentityT f m -> m Source # foldMap :: Monoid m => (a -> m) -> IdentityT f a -> m Source # foldMap' :: Monoid m => (a -> m) -> IdentityT f a -> m Source # foldr :: (a -> b -> b) -> b -> IdentityT f a -> b Source # foldr' :: (a -> b -> b) -> b -> IdentityT f a -> b Source # foldl :: (b -> a -> b) -> b -> IdentityT f a -> b Source # foldl' :: (b -> a -> b) -> b -> IdentityT f a -> b Source # foldr1 :: (a -> a -> a) -> IdentityT f a -> a Source # foldl1 :: (a -> a -> a) -> IdentityT f a -> a Source # toList :: IdentityT f a -> [a] Source # null :: IdentityT f a -> Bool Source # length :: IdentityT f a -> Int Source # elem :: Eq a => a -> IdentityT f a -> Bool Source # maximum :: Ord a => IdentityT f a -> a Source # minimum :: Ord a => IdentityT f a -> a Source # | |
| Foldable f => Foldable (WriterT w f) | |
Defined in Control.Monad.Trans.Writer.Lazy Methods fold :: Monoid m => WriterT w f m -> m Source # foldMap :: Monoid m => (a -> m) -> WriterT w f a -> m Source # foldMap' :: Monoid m => (a -> m) -> WriterT w f a -> m Source # foldr :: (a -> b -> b) -> b -> WriterT w f a -> b Source # foldr' :: (a -> b -> b) -> b -> WriterT w f a -> b Source # foldl :: (b -> a -> b) -> b -> WriterT w f a -> b Source # foldl' :: (b -> a -> b) -> b -> WriterT w f a -> b Source # foldr1 :: (a -> a -> a) -> WriterT w f a -> a Source # foldl1 :: (a -> a -> a) -> WriterT w f a -> a Source # toList :: WriterT w f a -> [a] Source # null :: WriterT w f a -> Bool Source # length :: WriterT w f a -> Int Source # elem :: Eq a => a -> WriterT w f a -> Bool Source # maximum :: Ord a => WriterT w f a -> a Source # minimum :: Ord a => WriterT w f a -> a Source # | |
| Foldable f => Foldable (WriterT w f) | |
Defined in Control.Monad.Trans.Writer.Strict Methods fold :: Monoid m => WriterT w f m -> m Source # foldMap :: Monoid m => (a -> m) -> WriterT w f a -> m Source # foldMap' :: Monoid m => (a -> m) -> WriterT w f a -> m Source # foldr :: (a -> b -> b) -> b -> WriterT w f a -> b Source # foldr' :: (a -> b -> b) -> b -> WriterT w f a -> b Source # foldl :: (b -> a -> b) -> b -> WriterT w f a -> b Source # foldl' :: (b -> a -> b) -> b -> WriterT w f a -> b Source # foldr1 :: (a -> a -> a) -> WriterT w f a -> a Source # foldl1 :: (a -> a -> a) -> WriterT w f a -> a Source # toList :: WriterT w f a -> [a] Source # null :: WriterT w f a -> Bool Source # length :: WriterT w f a -> Int Source # elem :: Eq a => a -> WriterT w f a -> Bool Source # maximum :: Ord a => WriterT w f a -> a Source # minimum :: Ord a => WriterT w f a -> a Source # | |
| (Foldable f, Foldable g) => Foldable (Product f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Product Methods fold :: Monoid m => Product f g m -> m Source # foldMap :: Monoid m => (a -> m) -> Product f g a -> m Source # foldMap' :: Monoid m => (a -> m) -> Product f g a -> m Source # foldr :: (a -> b -> b) -> b -> Product f g a -> b Source # foldr' :: (a -> b -> b) -> b -> Product f g a -> b Source # foldl :: (b -> a -> b) -> b -> Product f g a -> b Source # foldl' :: (b -> a -> b) -> b -> Product f g a -> b Source # foldr1 :: (a -> a -> a) -> Product f g a -> a Source # foldl1 :: (a -> a -> a) -> Product f g a -> a Source # toList :: Product f g a -> [a] Source # null :: Product f g a -> Bool Source # length :: Product f g a -> Int Source # elem :: Eq a => a -> Product f g a -> Bool Source # maximum :: Ord a => Product f g a -> a Source # minimum :: Ord a => Product f g a -> a Source # | |
| (Foldable f, Foldable g) => Foldable (Sum f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Sum Methods fold :: Monoid m => Sum f g m -> m Source # foldMap :: Monoid m => (a -> m) -> Sum f g a -> m Source # foldMap' :: Monoid m => (a -> m) -> Sum f g a -> m Source # foldr :: (a -> b -> b) -> b -> Sum f g a -> b Source # foldr' :: (a -> b -> b) -> b -> Sum f g a -> b Source # foldl :: (b -> a -> b) -> b -> Sum f g a -> b Source # foldl' :: (b -> a -> b) -> b -> Sum f g a -> b Source # foldr1 :: (a -> a -> a) -> Sum f g a -> a Source # foldl1 :: (a -> a -> a) -> Sum f g a -> a Source # toList :: Sum f g a -> [a] Source # null :: Sum f g a -> Bool Source # length :: Sum f g a -> Int Source # elem :: Eq a => a -> Sum f g a -> Bool Source # maximum :: Ord a => Sum f g a -> a Source # minimum :: Ord a => Sum f g a -> a Source # | |
| (Foldable f, Foldable g) => Foldable (f :*: g) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => (f :*: g) m -> m Source # foldMap :: Monoid m => (a -> m) -> (f :*: g) a -> m Source # foldMap' :: Monoid m => (a -> m) -> (f :*: g) a -> m Source # foldr :: (a -> b -> b) -> b -> (f :*: g) a -> b Source # foldr' :: (a -> b -> b) -> b -> (f :*: g) a -> b Source # foldl :: (b -> a -> b) -> b -> (f :*: g) a -> b Source # foldl' :: (b -> a -> b) -> b -> (f :*: g) a -> b Source # foldr1 :: (a -> a -> a) -> (f :*: g) a -> a Source # foldl1 :: (a -> a -> a) -> (f :*: g) a -> a Source # toList :: (f :*: g) a -> [a] Source # null :: (f :*: g) a -> Bool Source # length :: (f :*: g) a -> Int Source # elem :: Eq a => a -> (f :*: g) a -> Bool Source # maximum :: Ord a => (f :*: g) a -> a Source # minimum :: Ord a => (f :*: g) a -> a Source # | |
| (Foldable f, Foldable g) => Foldable (f :+: g) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => (f :+: g) m -> m Source # foldMap :: Monoid m => (a -> m) -> (f :+: g) a -> m Source # foldMap' :: Monoid m => (a -> m) -> (f :+: g) a -> m Source # foldr :: (a -> b -> b) -> b -> (f :+: g) a -> b Source # foldr' :: (a -> b -> b) -> b -> (f :+: g) a -> b Source # foldl :: (b -> a -> b) -> b -> (f :+: g) a -> b Source # foldl' :: (b -> a -> b) -> b -> (f :+: g) a -> b Source # foldr1 :: (a -> a -> a) -> (f :+: g) a -> a Source # foldl1 :: (a -> a -> a) -> (f :+: g) a -> a Source # toList :: (f :+: g) a -> [a] Source # null :: (f :+: g) a -> Bool Source # length :: (f :+: g) a -> Int Source # elem :: Eq a => a -> (f :+: g) a -> Bool Source # maximum :: Ord a => (f :+: g) a -> a Source # minimum :: Ord a => (f :+: g) a -> a Source # | |
| Foldable (K1 i c :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => K1 i c m -> m Source # foldMap :: Monoid m => (a -> m) -> K1 i c a -> m Source # foldMap' :: Monoid m => (a -> m) -> K1 i c a -> m Source # foldr :: (a -> b -> b) -> b -> K1 i c a -> b Source # foldr' :: (a -> b -> b) -> b -> K1 i c a -> b Source # foldl :: (b -> a -> b) -> b -> K1 i c a -> b Source # foldl' :: (b -> a -> b) -> b -> K1 i c a -> b Source # foldr1 :: (a -> a -> a) -> K1 i c a -> a Source # foldl1 :: (a -> a -> a) -> K1 i c a -> a Source # toList :: K1 i c a -> [a] Source # null :: K1 i c a -> Bool Source # length :: K1 i c a -> Int Source # elem :: Eq a => a -> K1 i c a -> Bool Source # maximum :: Ord a => K1 i c a -> a Source # minimum :: Ord a => K1 i c a -> a Source # | |
| (Foldable f, Foldable g) => Foldable (Compose f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose Methods fold :: Monoid m => Compose f g m -> m Source # foldMap :: Monoid m => (a -> m) -> Compose f g a -> m Source # foldMap' :: Monoid m => (a -> m) -> Compose f g a -> m Source # foldr :: (a -> b -> b) -> b -> Compose f g a -> b Source # foldr' :: (a -> b -> b) -> b -> Compose f g a -> b Source # foldl :: (b -> a -> b) -> b -> Compose f g a -> b Source # foldl' :: (b -> a -> b) -> b -> Compose f g a -> b Source # foldr1 :: (a -> a -> a) -> Compose f g a -> a Source # foldl1 :: (a -> a -> a) -> Compose f g a -> a Source # toList :: Compose f g a -> [a] Source # null :: Compose f g a -> Bool Source # length :: Compose f g a -> Int Source # elem :: Eq a => a -> Compose f g a -> Bool Source # maximum :: Ord a => Compose f g a -> a Source # minimum :: Ord a => Compose f g a -> a Source # | |
| (Foldable f, Foldable g) => Foldable (f :.: g) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => (f :.: g) m -> m Source # foldMap :: Monoid m => (a -> m) -> (f :.: g) a -> m Source # foldMap' :: Monoid m => (a -> m) -> (f :.: g) a -> m Source # foldr :: (a -> b -> b) -> b -> (f :.: g) a -> b Source # foldr' :: (a -> b -> b) -> b -> (f :.: g) a -> b Source # foldl :: (b -> a -> b) -> b -> (f :.: g) a -> b Source # foldl' :: (b -> a -> b) -> b -> (f :.: g) a -> b Source # foldr1 :: (a -> a -> a) -> (f :.: g) a -> a Source # foldl1 :: (a -> a -> a) -> (f :.: g) a -> a Source # toList :: (f :.: g) a -> [a] Source # null :: (f :.: g) a -> Bool Source # length :: (f :.: g) a -> Int Source # elem :: Eq a => a -> (f :.: g) a -> Bool Source # maximum :: Ord a => (f :.: g) a -> a Source # minimum :: Ord a => (f :.: g) a -> a Source # | |
| Foldable f => Foldable (M1 i c f) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => M1 i c f m -> m Source # foldMap :: Monoid m => (a -> m) -> M1 i c f a -> m Source # foldMap' :: Monoid m => (a -> m) -> M1 i c f a -> m Source # foldr :: (a -> b -> b) -> b -> M1 i c f a -> b Source # foldr' :: (a -> b -> b) -> b -> M1 i c f a -> b Source # foldl :: (b -> a -> b) -> b -> M1 i c f a -> b Source # foldl' :: (b -> a -> b) -> b -> M1 i c f a -> b Source # foldr1 :: (a -> a -> a) -> M1 i c f a -> a Source # foldl1 :: (a -> a -> a) -> M1 i c f a -> a Source # toList :: M1 i c f a -> [a] Source # null :: M1 i c f a -> Bool Source # length :: M1 i c f a -> Int Source # elem :: Eq a => a -> M1 i c f a -> Bool Source # maximum :: Ord a => M1 i c f a -> a Source # minimum :: Ord a => M1 i c f a -> a Source # | |
| Foldable (Clown f a :: Type -> Type) | |
Defined in Data.Bifunctor.Clown Methods fold :: Monoid m => Clown f a m -> m Source # foldMap :: Monoid m => (a0 -> m) -> Clown f a a0 -> m Source # foldMap' :: Monoid m => (a0 -> m) -> Clown f a a0 -> m Source # foldr :: (a0 -> b -> b) -> b -> Clown f a a0 -> b Source # foldr' :: (a0 -> b -> b) -> b -> Clown f a a0 -> b Source # foldl :: (b -> a0 -> b) -> b -> Clown f a a0 -> b Source # foldl' :: (b -> a0 -> b) -> b -> Clown f a a0 -> b Source # foldr1 :: (a0 -> a0 -> a0) -> Clown f a a0 -> a0 Source # foldl1 :: (a0 -> a0 -> a0) -> Clown f a a0 -> a0 Source # toList :: Clown f a a0 -> [a0] Source # null :: Clown f a a0 -> Bool Source # length :: Clown f a a0 -> Int Source # elem :: Eq a0 => a0 -> Clown f a a0 -> Bool Source # maximum :: Ord a0 => Clown f a a0 -> a0 Source # minimum :: Ord a0 => Clown f a a0 -> a0 Source # | |
| Bifoldable p => Foldable (Flip p a) | |
Defined in Data.Bifunctor.Flip Methods fold :: Monoid m => Flip p a m -> m Source # foldMap :: Monoid m => (a0 -> m) -> Flip p a a0 -> m Source # foldMap' :: Monoid m => (a0 -> m) -> Flip p a a0 -> m Source # foldr :: (a0 -> b -> b) -> b -> Flip p a a0 -> b Source # foldr' :: (a0 -> b -> b) -> b -> Flip p a a0 -> b Source # foldl :: (b -> a0 -> b) -> b -> Flip p a a0 -> b Source # foldl' :: (b -> a0 -> b) -> b -> Flip p a a0 -> b Source # foldr1 :: (a0 -> a0 -> a0) -> Flip p a a0 -> a0 Source # foldl1 :: (a0 -> a0 -> a0) -> Flip p a a0 -> a0 Source # toList :: Flip p a a0 -> [a0] Source # null :: Flip p a a0 -> Bool Source # length :: Flip p a a0 -> Int Source # elem :: Eq a0 => a0 -> Flip p a a0 -> Bool Source # maximum :: Ord a0 => Flip p a a0 -> a0 Source # minimum :: Ord a0 => Flip p a a0 -> a0 Source # | |
| Foldable g => Foldable (Joker g a) | |
Defined in Data.Bifunctor.Joker Methods fold :: Monoid m => Joker g a m -> m Source # foldMap :: Monoid m => (a0 -> m) -> Joker g a a0 -> m Source # foldMap' :: Monoid m => (a0 -> m) -> Joker g a a0 -> m Source # foldr :: (a0 -> b -> b) -> b -> Joker g a a0 -> b Source # foldr' :: (a0 -> b -> b) -> b -> Joker g a a0 -> b Source # foldl :: (b -> a0 -> b) -> b -> Joker g a a0 -> b Source # foldl' :: (b -> a0 -> b) -> b -> Joker g a a0 -> b Source # foldr1 :: (a0 -> a0 -> a0) -> Joker g a a0 -> a0 Source # foldl1 :: (a0 -> a0 -> a0) -> Joker g a a0 -> a0 Source # toList :: Joker g a a0 -> [a0] Source # null :: Joker g a a0 -> Bool Source # length :: Joker g a a0 -> Int Source # elem :: Eq a0 => a0 -> Joker g a a0 -> Bool Source # maximum :: Ord a0 => Joker g a a0 -> a0 Source # minimum :: Ord a0 => Joker g a a0 -> a0 Source # | |
| Bifoldable p => Foldable (WrappedBifunctor p a) | |
Defined in Data.Bifunctor.Wrapped Methods fold :: Monoid m => WrappedBifunctor p a m -> m Source # foldMap :: Monoid m => (a0 -> m) -> WrappedBifunctor p a a0 -> m Source # foldMap' :: Monoid m => (a0 -> m) -> WrappedBifunctor p a a0 -> m Source # foldr :: (a0 -> b -> b) -> b -> WrappedBifunctor p a a0 -> b Source # foldr' :: (a0 -> b -> b) -> b -> WrappedBifunctor p a a0 -> b Source # foldl :: (b -> a0 -> b) -> b -> WrappedBifunctor p a a0 -> b Source # foldl' :: (b -> a0 -> b) -> b -> WrappedBifunctor p a a0 -> b Source # foldr1 :: (a0 -> a0 -> a0) -> WrappedBifunctor p a a0 -> a0 Source # foldl1 :: (a0 -> a0 -> a0) -> WrappedBifunctor p a a0 -> a0 Source # toList :: WrappedBifunctor p a a0 -> [a0] Source # null :: WrappedBifunctor p a a0 -> Bool Source # length :: WrappedBifunctor p a a0 -> Int Source # elem :: Eq a0 => a0 -> WrappedBifunctor p a a0 -> Bool Source # maximum :: Ord a0 => WrappedBifunctor p a a0 -> a0 Source # minimum :: Ord a0 => WrappedBifunctor p a a0 -> a0 Source # sum :: Num a0 => WrappedBifunctor p a a0 -> a0 Source # product :: Num a0 => WrappedBifunctor p a a0 -> a0 Source # | |
| (Foldable f, Bifoldable p) => Foldable (Tannen f p a) | |
Defined in Data.Bifunctor.Tannen Methods fold :: Monoid m => Tannen f p a m -> m Source # foldMap :: Monoid m => (a0 -> m) -> Tannen f p a a0 -> m Source # foldMap' :: Monoid m => (a0 -> m) -> Tannen f p a a0 -> m Source # foldr :: (a0 -> b -> b) -> b -> Tannen f p a a0 -> b Source # foldr' :: (a0 -> b -> b) -> b -> Tannen f p a a0 -> b Source # foldl :: (b -> a0 -> b) -> b -> Tannen f p a a0 -> b Source # foldl' :: (b -> a0 -> b) -> b -> Tannen f p a a0 -> b Source # foldr1 :: (a0 -> a0 -> a0) -> Tannen f p a a0 -> a0 Source # foldl1 :: (a0 -> a0 -> a0) -> Tannen f p a a0 -> a0 Source # toList :: Tannen f p a a0 -> [a0] Source # null :: Tannen f p a a0 -> Bool Source # length :: Tannen f p a a0 -> Int Source # elem :: Eq a0 => a0 -> Tannen f p a a0 -> Bool Source # maximum :: Ord a0 => Tannen f p a a0 -> a0 Source # minimum :: Ord a0 => Tannen f p a a0 -> a0 Source # | |
| (Bifoldable p, Foldable g) => Foldable (Biff p f g a) | |
Defined in Data.Bifunctor.Biff Methods fold :: Monoid m => Biff p f g a m -> m Source # foldMap :: Monoid m => (a0 -> m) -> Biff p f g a a0 -> m Source # foldMap' :: Monoid m => (a0 -> m) -> Biff p f g a a0 -> m Source # foldr :: (a0 -> b -> b) -> b -> Biff p f g a a0 -> b Source # foldr' :: (a0 -> b -> b) -> b -> Biff p f g a a0 -> b Source # foldl :: (b -> a0 -> b) -> b -> Biff p f g a a0 -> b Source # foldl' :: (b -> a0 -> b) -> b -> Biff p f g a a0 -> b Source # foldr1 :: (a0 -> a0 -> a0) -> Biff p f g a a0 -> a0 Source # foldl1 :: (a0 -> a0 -> a0) -> Biff p f g a a0 -> a0 Source # toList :: Biff p f g a a0 -> [a0] Source # null :: Biff p f g a a0 -> Bool Source # length :: Biff p f g a a0 -> Int Source # elem :: Eq a0 => a0 -> Biff p f g a a0 -> Bool Source # maximum :: Ord a0 => Biff p f g a a0 -> a0 Source # minimum :: Ord a0 => Biff p f g a a0 -> a0 Source # | |
class (Functor t, Foldable t) => Traversable (t :: Type -> Type) Source #
Functors representing data structures that can be transformed to
structures of the same shape by performing an Applicative (or,
therefore, Monad) action on each element from left to right.
A more detailed description of what same shape means, the various methods, how traversals are constructed, and example advanced use-cases can be found in the Overview section of Data.Traversable.
For the class laws see the Laws section of Data.Traversable.
Instances
| Traversable ZipList | Since: base-4.9.0.0 |
Defined in Data.Traversable | |
| Traversable Complex | Since: base-4.9.0.0 |
Defined in Data.Complex | |
| Traversable Identity | Since: base-4.9.0.0 |
Defined in Data.Traversable | |
| Traversable First | Since: base-4.8.0.0 |
| Traversable Last | Since: base-4.8.0.0 |
| Traversable Down | Since: base-4.12.0.0 |
| Traversable First | Since: base-4.9.0.0 |
| Traversable Last | Since: base-4.9.0.0 |
| Traversable Max | Since: base-4.9.0.0 |
| Traversable Min | Since: base-4.9.0.0 |
| Traversable Option | Since: base-4.9.0.0 |
Defined in Data.Semigroup | |
| Traversable Dual | Since: base-4.8.0.0 |
| Traversable Product | Since: base-4.8.0.0 |
Defined in Data.Traversable | |
| Traversable Sum | Since: base-4.8.0.0 |
| Traversable NonEmpty | Since: base-4.9.0.0 |
Defined in Data.Traversable | |
| Traversable Par1 | Since: base-4.9.0.0 |
| Traversable IntMap | Traverses in order of increasing key. |
Defined in Data.IntMap.Internal | |
| Traversable Digit | |
Defined in Data.Sequence.Internal | |
| Traversable Elem | |
| Traversable FingerTree | |
Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> FingerTree a -> f (FingerTree b) Source # sequenceA :: Applicative f => FingerTree (f a) -> f (FingerTree a) Source # mapM :: Monad m => (a -> m b) -> FingerTree a -> m (FingerTree b) Source # sequence :: Monad m => FingerTree (m a) -> m (FingerTree a) Source # | |
| Traversable Node | |
| Traversable Seq | |
| Traversable ViewL | |
Defined in Data.Sequence.Internal | |
| Traversable ViewR | |
Defined in Data.Sequence.Internal | |
| Traversable Tree | |
| Traversable DList | |
| Traversable Array | |
Defined in Data.Primitive.Array | |
| Traversable SmallArray | |
Defined in Data.Primitive.SmallArray Methods traverse :: Applicative f => (a -> f b) -> SmallArray a -> f (SmallArray b) Source # sequenceA :: Applicative f => SmallArray (f a) -> f (SmallArray a) Source # mapM :: Monad m => (a -> m b) -> SmallArray a -> m (SmallArray b) Source # sequence :: Monad m => SmallArray (m a) -> m (SmallArray a) Source # | |
| Traversable Vector | |
| Traversable Maybe | Since: base-2.1 |
| Traversable Solo | Since: base-4.15 |
| Traversable [] | Since: base-2.1 |
| Traversable (Either a) | Since: base-4.7.0.0 |
Defined in Data.Traversable Methods traverse :: Applicative f => (a0 -> f b) -> Either a a0 -> f (Either a b) Source # sequenceA :: Applicative f => Either a (f a0) -> f (Either a a0) Source # mapM :: Monad m => (a0 -> m b) -> Either a a0 -> m (Either a b) Source # sequence :: Monad m => Either a (m a0) -> m (Either a a0) Source # | |
| Traversable (Proxy :: Type -> Type) | Since: base-4.7.0.0 |
| Traversable (Arg a) | Since: base-4.9.0.0 |
Defined in Data.Semigroup | |
| Ix i => Traversable (Array i) | Since: base-2.1 |
Defined in Data.Traversable | |
| Traversable (U1 :: Type -> Type) | Since: base-4.9.0.0 |
| Traversable (UAddr :: Type -> Type) | Since: base-4.9.0.0 |
| Traversable (UChar :: Type -> Type) | Since: base-4.9.0.0 |
| Traversable (UDouble :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Traversable | |
| Traversable (UFloat :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Traversable | |
| Traversable (UInt :: Type -> Type) | Since: base-4.9.0.0 |
| Traversable (UWord :: Type -> Type) | Since: base-4.9.0.0 |
| Traversable (V1 :: Type -> Type) | Since: base-4.9.0.0 |
| Traversable (Map k) | Traverses in order of increasing key. |
| Traversable f => Traversable (Cofree f) | |
Defined in Control.Comonad.Cofree | |
| Traversable f => Traversable (Free f) | |
Defined in Control.Monad.Free | |
| Traversable f => Traversable (ListT f) | |
Defined in Control.Monad.Trans.List | |
| Traversable f => Traversable (MaybeT f) | |
Defined in Control.Monad.Trans.Maybe | |
| Traversable (HashMap k) | |
Defined in Data.HashMap.Internal Methods traverse :: Applicative f => (a -> f b) -> HashMap k a -> f (HashMap k b) Source # sequenceA :: Applicative f => HashMap k (f a) -> f (HashMap k a) Source # mapM :: Monad m => (a -> m b) -> HashMap k a -> m (HashMap k b) Source # sequence :: Monad m => HashMap k (m a) -> m (HashMap k a) Source # | |
| Traversable ((,) a) | Since: base-4.7.0.0 |
| Traversable (Const m :: Type -> Type) | Since: base-4.7.0.0 |
Defined in Data.Traversable | |
| Traversable f => Traversable (Ap f) | Since: base-4.12.0.0 |
| Traversable f => Traversable (Alt f) | Since: base-4.12.0.0 |
Defined in Data.Traversable | |
| Traversable f => Traversable (Rec1 f) | Since: base-4.9.0.0 |
Defined in Data.Traversable | |
| Bitraversable p => Traversable (Join p) | |
Defined in Data.Bifunctor.Join | |
| Traversable w => Traversable (EnvT e w) | |
Defined in Control.Comonad.Trans.Env | |
| Traversable f => Traversable (FreeF f a) | |
Defined in Control.Monad.Trans.Free Methods traverse :: Applicative f0 => (a0 -> f0 b) -> FreeF f a a0 -> f0 (FreeF f a b) Source # sequenceA :: Applicative f0 => FreeF f a (f0 a0) -> f0 (FreeF f a a0) Source # mapM :: Monad m => (a0 -> m b) -> FreeF f a a0 -> m (FreeF f a b) Source # sequence :: Monad m => FreeF f a (m a0) -> m (FreeF f a a0) Source # | |
| (Monad m, Traversable m, Traversable f) => Traversable (FreeT f m) | |
Defined in Control.Monad.Trans.Free Methods traverse :: Applicative f0 => (a -> f0 b) -> FreeT f m a -> f0 (FreeT f m b) Source # sequenceA :: Applicative f0 => FreeT f m (f0 a) -> f0 (FreeT f m a) Source # mapM :: Monad m0 => (a -> m0 b) -> FreeT f m a -> m0 (FreeT f m b) Source # sequence :: Monad m0 => FreeT f m (m0 a) -> m0 (FreeT f m a) Source # | |
| Traversable (Tagged s) | |
Defined in Data.Tagged | |
| Traversable f => Traversable (ErrorT e f) | |
Defined in Control.Monad.Trans.Error Methods traverse :: Applicative f0 => (a -> f0 b) -> ErrorT e f a -> f0 (ErrorT e f b) Source # sequenceA :: Applicative f0 => ErrorT e f (f0 a) -> f0 (ErrorT e f a) Source # mapM :: Monad m => (a -> m b) -> ErrorT e f a -> m (ErrorT e f b) Source # sequence :: Monad m => ErrorT e f (m a) -> m (ErrorT e f a) Source # | |
| Traversable f => Traversable (IdentityT f) | |
Defined in Control.Monad.Trans.Identity Methods traverse :: Applicative f0 => (a -> f0 b) -> IdentityT f a -> f0 (IdentityT f b) Source # sequenceA :: Applicative f0 => IdentityT f (f0 a) -> f0 (IdentityT f a) Source # mapM :: Monad m => (a -> m b) -> IdentityT f a -> m (IdentityT f b) Source # sequence :: Monad m => IdentityT f (m a) -> m (IdentityT f a) Source # | |
| Traversable f => Traversable (WriterT w f) | |
Defined in Control.Monad.Trans.Writer.Lazy Methods traverse :: Applicative f0 => (a -> f0 b) -> WriterT w f a -> f0 (WriterT w f b) Source # sequenceA :: Applicative f0 => WriterT w f (f0 a) -> f0 (WriterT w f a) Source # mapM :: Monad m => (a -> m b) -> WriterT w f a -> m (WriterT w f b) Source # sequence :: Monad m => WriterT w f (m a) -> m (WriterT w f a) Source # | |
| Traversable f => Traversable (WriterT w f) | |
Defined in Control.Monad.Trans.Writer.Strict Methods traverse :: Applicative f0 => (a -> f0 b) -> WriterT w f a -> f0 (WriterT w f b) Source # sequenceA :: Applicative f0 => WriterT w f (f0 a) -> f0 (WriterT w f a) Source # mapM :: Monad m => (a -> m b) -> WriterT w f a -> m (WriterT w f b) Source # sequence :: Monad m => WriterT w f (m a) -> m (WriterT w f a) Source # | |
| (Traversable f, Traversable g) => Traversable (Product f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Product Methods traverse :: Applicative f0 => (a -> f0 b) -> Product f g a -> f0 (Product f g b) Source # sequenceA :: Applicative f0 => Product f g (f0 a) -> f0 (Product f g a) Source # mapM :: Monad m => (a -> m b) -> Product f g a -> m (Product f g b) Source # sequence :: Monad m => Product f g (m a) -> m (Product f g a) Source # | |
| (Traversable f, Traversable g) => Traversable (Sum f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Sum | |
| (Traversable f, Traversable g) => Traversable (f :*: g) | Since: base-4.9.0.0 |
Defined in Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> (f :*: g) a -> f0 ((f :*: g) b) Source # sequenceA :: Applicative f0 => (f :*: g) (f0 a) -> f0 ((f :*: g) a) Source # mapM :: Monad m => (a -> m b) -> (f :*: g) a -> m ((f :*: g) b) Source # sequence :: Monad m => (f :*: g) (m a) -> m ((f :*: g) a) Source # | |
| (Traversable f, Traversable g) => Traversable (f :+: g) | Since: base-4.9.0.0 |
Defined in Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> (f :+: g) a -> f0 ((f :+: g) b) Source # sequenceA :: Applicative f0 => (f :+: g) (f0 a) -> f0 ((f :+: g) a) Source # mapM :: Monad m => (a -> m b) -> (f :+: g) a -> m ((f :+: g) b) Source # sequence :: Monad m => (f :+: g) (m a) -> m ((f :+: g) a) Source # | |
| Traversable (K1 i c :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Traversable | |
| (Traversable f, Traversable g) => Traversable (Compose f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose Methods traverse :: Applicative f0 => (a -> f0 b) -> Compose f g a -> f0 (Compose f g b) Source # sequenceA :: Applicative f0 => Compose f g (f0 a) -> f0 (Compose f g a) Source # mapM :: Monad m => (a -> m b) -> Compose f g a -> m (Compose f g b) Source # sequence :: Monad m => Compose f g (m a) -> m (Compose f g a) Source # | |
| (Traversable f, Traversable g) => Traversable (f :.: g) | Since: base-4.9.0.0 |
Defined in Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> (f :.: g) a -> f0 ((f :.: g) b) Source # sequenceA :: Applicative f0 => (f :.: g) (f0 a) -> f0 ((f :.: g) a) Source # mapM :: Monad m => (a -> m b) -> (f :.: g) a -> m ((f :.: g) b) Source # sequence :: Monad m => (f :.: g) (m a) -> m ((f :.: g) a) Source # | |
| Traversable f => Traversable (M1 i c f) | Since: base-4.9.0.0 |
Defined in Data.Traversable | |
| Traversable (Clown f a :: Type -> Type) | |
Defined in Data.Bifunctor.Clown Methods traverse :: Applicative f0 => (a0 -> f0 b) -> Clown f a a0 -> f0 (Clown f a b) Source # sequenceA :: Applicative f0 => Clown f a (f0 a0) -> f0 (Clown f a a0) Source # mapM :: Monad m => (a0 -> m b) -> Clown f a a0 -> m (Clown f a b) Source # sequence :: Monad m => Clown f a (m a0) -> m (Clown f a a0) Source # | |
| Bitraversable p => Traversable (Flip p a) | |
Defined in Data.Bifunctor.Flip Methods traverse :: Applicative f => (a0 -> f b) -> Flip p a a0 -> f (Flip p a b) Source # sequenceA :: Applicative f => Flip p a (f a0) -> f (Flip p a a0) Source # mapM :: Monad m => (a0 -> m b) -> Flip p a a0 -> m (Flip p a b) Source # sequence :: Monad m => Flip p a (m a0) -> m (Flip p a a0) Source # | |
| Traversable g => Traversable (Joker g a) | |
Defined in Data.Bifunctor.Joker Methods traverse :: Applicative f => (a0 -> f b) -> Joker g a a0 -> f (Joker g a b) Source # sequenceA :: Applicative f => Joker g a (f a0) -> f (Joker g a a0) Source # mapM :: Monad m => (a0 -> m b) -> Joker g a a0 -> m (Joker g a b) Source # sequence :: Monad m => Joker g a (m a0) -> m (Joker g a a0) Source # | |
| Bitraversable p => Traversable (WrappedBifunctor p a) | |
Defined in Data.Bifunctor.Wrapped Methods traverse :: Applicative f => (a0 -> f b) -> WrappedBifunctor p a a0 -> f (WrappedBifunctor p a b) Source # sequenceA :: Applicative f => WrappedBifunctor p a (f a0) -> f (WrappedBifunctor p a a0) Source # mapM :: Monad m => (a0 -> m b) -> WrappedBifunctor p a a0 -> m (WrappedBifunctor p a b) Source # sequence :: Monad m => WrappedBifunctor p a (m a0) -> m (WrappedBifunctor p a a0) Source # | |
| (Traversable f, Bitraversable p) => Traversable (Tannen f p a) | |
Defined in Data.Bifunctor.Tannen Methods traverse :: Applicative f0 => (a0 -> f0 b) -> Tannen f p a a0 -> f0 (Tannen f p a b) Source # sequenceA :: Applicative f0 => Tannen f p a (f0 a0) -> f0 (Tannen f p a a0) Source # mapM :: Monad m => (a0 -> m b) -> Tannen f p a a0 -> m (Tannen f p a b) Source # sequence :: Monad m => Tannen f p a (m a0) -> m (Tannen f p a a0) Source # | |
| (Bitraversable p, Traversable g) => Traversable (Biff p f g a) | |
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) Source # sequenceA :: Applicative f0 => Biff p f g a (f0 a0) -> f0 (Biff p f g a a0) Source # mapM :: Monad m => (a0 -> m b) -> Biff p f g a a0 -> m (Biff p f g a b) Source # sequence :: Monad m => Biff p f g a (m a0) -> m (Biff p f g a a0) Source # | |
class Semigroup a => Monoid a where Source #
The class of monoids (types with an associative binary operation that has an identity). Instances should satisfy the following:
- Right identity
x<>mempty= x- Left identity
mempty<>x = x- Associativity
x(<>(y<>z) = (x<>y)<>zSemigrouplaw)- Concatenation
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
Methods
Identity of mappend
>>>"Hello world" <> mempty"Hello world"
mappend :: a -> a -> a Source #
An associative operation
NOTE: This method is redundant and has the default
implementation mappend = (<>)mappend is a synonym for
(<>), it is expected that the two functions are defined the same
way. In a future GHC release mappend will be removed from Monoid.
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.
>>>mconcat ["Hello", " ", "Haskell", "!"]"Hello Haskell!"
Instances
| Monoid ByteString | |
Defined in Data.ByteString.Internal Methods mempty :: ByteString Source # mappend :: ByteString -> ByteString -> ByteString Source # mconcat :: [ByteString] -> ByteString Source # | |
| Monoid ByteString | |
Defined in Data.ByteString.Lazy.Internal Methods mempty :: ByteString Source # mappend :: ByteString -> ByteString -> ByteString Source # mconcat :: [ByteString] -> ByteString Source # | |
| Monoid ShortByteString | |
Defined in Data.ByteString.Short.Internal Methods mempty :: ShortByteString Source # mappend :: ShortByteString -> ShortByteString -> ShortByteString Source # mconcat :: [ShortByteString] -> ShortByteString Source # | |
| Monoid IntSet | |
| Monoid Ordering | Since: base-2.1 |
| Monoid Doc | |
| Monoid ByteArray | |
| Monoid () | Since: base-2.1 |
| (Semigroup a, Monoid a) => Monoid (Concurrently a) | Since: async-2.1.0 |
Defined in Control.Concurrent.Async Methods mempty :: Concurrently a Source # mappend :: Concurrently a -> Concurrently a -> Concurrently a Source # mconcat :: [Concurrently a] -> Concurrently a Source # | |
| Monoid a => Monoid (Identity a) | Since: base-4.9.0.0 |
| Monoid a => Monoid (Down a) | Since: base-4.11.0.0 |
| (Ord a, Bounded a) => Monoid (Max a) | Since: base-4.9.0.0 |
| (Ord a, Bounded a) => Monoid (Min a) | Since: base-4.9.0.0 |
| Semigroup a => Monoid (Option a) | Since: base-4.9.0.0 |
| Monoid m => Monoid (WrappedMonoid m) | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods mempty :: WrappedMonoid m Source # mappend :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m Source # mconcat :: [WrappedMonoid m] -> WrappedMonoid m Source # | |
| Monoid p => Monoid (Par1 p) | Since: base-4.12.0.0 |
| Monoid (IntMap a) | |
| Monoid (Seq a) | |
| Monoid (MergeSet a) | |
| Ord a => Monoid (Set a) | |
| Monoid (DList a) | |
| Monoid a => Monoid (IO a) | Since: base-4.9.0.0 |
| Monoid (Doc a) | |
| Monoid (Array a) | |
| Monoid (PrimArray a) | Since: primitive-0.6.4.0 |
| Monoid (SmallArray a) | |
Defined in Data.Primitive.SmallArray Methods mempty :: SmallArray a Source # mappend :: SmallArray a -> SmallArray a -> SmallArray a Source # mconcat :: [SmallArray a] -> SmallArray a Source # | |
| Monoid a => Monoid (Q a) | Since: template-haskell-2.17.0.0 |
| (Hashable a, Eq a) => Monoid (HashSet a) | O(n+m) To obtain good performance, the smaller set must be presented as the first argument. Examples
|
| Monoid (Vector a) | |
| Prim a => Monoid (Vector a) | |
| Storable a => Monoid (Vector a) | |
| Semigroup a => Monoid (Maybe a) | Lift a semigroup into Since 4.11.0: constraint on inner Since: base-2.1 |
| Monoid a => Monoid (a) | Since: base-4.15 |
| Monoid [a] | Since: base-2.1 |
| Monoid (Proxy s) | Since: base-4.7.0.0 |
| Monoid (U1 p) | Since: base-4.12.0.0 |
| Monoid a => Monoid (ST s a) | Since: base-4.11.0.0 |
| Ord k => Monoid (Map k v) | |
| (Monoid a, MonadUnliftIO m) => Monoid (Conc m a) | Since: unliftio-0.2.9.0 |
| (Semigroup a, Monoid a, MonadUnliftIO m) => Monoid (Concurrently m a) | Since: unliftio-0.1.0.0 |
Defined in UnliftIO.Internals.Async Methods mempty :: Concurrently m a Source # mappend :: Concurrently m a -> Concurrently m a -> Concurrently m a Source # mconcat :: [Concurrently m a] -> Concurrently m a Source # | |
| (Eq k, Hashable k) => Monoid (HashMap k v) | If a key occurs in both maps, the mapping from the first will be the mapping in the result. Examples
|
| Monoid b => Monoid (a -> b) | Since: base-2.1 |
| (Monoid a, Monoid b) => Monoid (a, b) | Since: base-2.1 |
| Monoid a => Monoid (Const a b) | Since: base-4.9.0.0 |
| Monoid (f p) => Monoid (Rec1 f p) | Since: base-4.12.0.0 |
| (Semigroup a, Monoid a) => Monoid (Tagged s a) | |
| (Monoid a, Monoid b, Monoid c) => Monoid (a, b, c) | Since: base-2.1 |
| (Monoid (f p), Monoid (g p)) => Monoid ((f :*: g) p) | Since: base-4.12.0.0 |
| Monoid c => Monoid (K1 i c p) | Since: base-4.12.0.0 |
| (Monoid a, Monoid b, Monoid c, Monoid d) => Monoid (a, b, c, d) | Since: base-2.1 |
| Monoid (f (g p)) => Monoid ((f :.: g) p) | Since: base-4.12.0.0 |
| Monoid (f p) => Monoid (M1 i c f p) | Since: base-4.12.0.0 |
| (Monoid a, Monoid b, Monoid c, Monoid d, Monoid e) => Monoid (a, b, c, d, e) | Since: base-2.1 |
Instances
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
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.
Instances
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.
Instances
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
32-bit signed integer type
Instances
64-bit signed integer type
Instances
Arbitrary precision integers. In contrast with fixed-size integral types
such as Int, the Integer type represents the entire infinite range of
integers.
Integers are stored in a kind of sign-magnitude form, hence do not expect two's complement form when using bit operations.
If the value is small (fit into an Int), IS constructor is used.
Otherwise IP and IN constructors are used to store a BigNat
representing respectively the positive or the negative value magnitude.
Instances
| Enum Integer | Since: base-2.1 |
Defined in GHC.Enum Methods succ :: Integer -> Integer Source # pred :: Integer -> Integer Source # toEnum :: Int -> Integer Source # fromEnum :: Integer -> Int Source # enumFrom :: Integer -> [Integer] Source # enumFromThen :: Integer -> Integer -> [Integer] Source # enumFromTo :: Integer -> Integer -> [Integer] Source # enumFromThenTo :: Integer -> Integer -> Integer -> [Integer] Source # | |
| Num Integer | Since: base-2.1 |
Defined in GHC.Num | |
| Read Integer | Since: base-2.1 |
| Integral Integer | Since: base-2.0.1 |
Defined in GHC.Real Methods quot :: Integer -> Integer -> Integer Source # rem :: Integer -> Integer -> Integer Source # div :: Integer -> Integer -> Integer Source # mod :: Integer -> Integer -> Integer Source # quotRem :: Integer -> Integer -> (Integer, Integer) Source # | |
| Real Integer | Since: base-2.0.1 |
| Show Integer | Since: base-2.1 |
| NFData Integer | |
Defined in Control.DeepSeq | |
| Eq Integer | |
| Ord Integer | |
| Hashable Integer | |
| Lift Integer | |
The Maybe type encapsulates an optional value. A value of type
Maybe aa (represented as Just aNothing). 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.
Instances
| MonadFail Maybe | Since: base-4.9.0.0 |
| Foldable Maybe | Since: base-2.1 |
Defined in Data.Foldable Methods fold :: Monoid m => Maybe m -> m Source # foldMap :: Monoid m => (a -> m) -> Maybe a -> m Source # foldMap' :: Monoid m => (a -> m) -> Maybe a -> m Source # foldr :: (a -> b -> b) -> b -> Maybe a -> b Source # foldr' :: (a -> b -> b) -> b -> Maybe a -> b Source # foldl :: (b -> a -> b) -> b -> Maybe a -> b Source # foldl' :: (b -> a -> b) -> b -> Maybe a -> b Source # foldr1 :: (a -> a -> a) -> Maybe a -> a Source # foldl1 :: (a -> a -> a) -> Maybe a -> a Source # toList :: Maybe a -> [a] Source # null :: Maybe a -> Bool Source # length :: Maybe a -> Int Source # elem :: Eq a => a -> Maybe a -> Bool Source # maximum :: Ord a => Maybe a -> a Source # minimum :: Ord a => Maybe a -> a Source # | |
| Eq1 Maybe | Since: base-4.9.0.0 |
| Ord1 Maybe | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
| Read1 Maybe | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Maybe a) Source # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Maybe a] Source # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Maybe a) Source # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Maybe a] Source # | |
| Show1 Maybe | Since: base-4.9.0.0 |
| Traversable Maybe | Since: base-2.1 |
| Alternative Maybe | Since: base-2.1 |
| Applicative Maybe | Since: base-2.1 |
| Functor Maybe | Since: base-2.1 |
| Monad Maybe | Since: base-2.1 |
| MonadPlus Maybe | Since: base-2.1 |
| NFData1 Maybe | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| Hashable1 Maybe | |
Defined in Data.Hashable.Class | |
| FoldableWithKey Maybe | |
Defined in Data.Key Methods toKeyedList :: Maybe a -> [(Key Maybe, a)] foldMapWithKey :: Monoid m => (Key Maybe -> a -> m) -> Maybe a -> m foldrWithKey :: (Key Maybe -> a -> b -> b) -> b -> Maybe a -> b foldlWithKey :: (b -> Key Maybe -> a -> b) -> b -> Maybe a -> b | |
| Indexable Maybe | |
| Keyed Maybe | |
Defined in Data.Key Methods mapWithKey :: (Key Maybe -> a -> b) -> Maybe a -> Maybe b | |
| Lookup Maybe | |
| TraversableWithKey Maybe | |
Defined in Data.Key Methods traverseWithKey :: Applicative f => (Key Maybe -> a -> f b) -> Maybe a -> f (Maybe b) mapWithKeyM :: Monad m => (Key Maybe -> a -> m b) -> Maybe a -> m (Maybe b) | |
| Zip Maybe | |
| ZipWithKey Maybe | |
| Apply Maybe | |
| Bind Maybe | |
| Lift a => Lift (Maybe a :: Type) | |
| Semigroup a => Monoid (Maybe a) | Lift a semigroup into Since 4.11.0: constraint on inner Since: base-2.1 |
| Semigroup a => Semigroup (Maybe a) | Since: base-4.9.0.0 |
| Generic (Maybe a) | |
| SingKind a => SingKind (Maybe a) | Since: base-4.9.0.0 |
Defined in GHC.Generics Associated Types type DemoteRep (Maybe a) | |
| Read a => Read (Maybe a) | Since: base-2.1 |
| Show a => Show (Maybe a) | Since: base-2.1 |
| NFData a => NFData (Maybe a) | |
Defined in Control.DeepSeq | |
| Eq a => Eq (Maybe a) | Since: base-2.1 |
| Ord a => Ord (Maybe a) | Since: base-2.1 |
| Hashable a => Hashable (Maybe a) | |
| MonoFoldable (Maybe a) | |
Defined in Data.MonoTraversable Methods ofoldMap :: Monoid m => (Element (Maybe a) -> m) -> Maybe a -> m Source # ofoldr :: (Element (Maybe a) -> b -> b) -> b -> Maybe a -> b Source # ofoldl' :: (a0 -> Element (Maybe a) -> a0) -> a0 -> Maybe a -> a0 Source # otoList :: Maybe a -> [Element (Maybe a)] Source # oall :: (Element (Maybe a) -> Bool) -> Maybe a -> Bool Source # oany :: (Element (Maybe a) -> Bool) -> Maybe a -> Bool Source # onull :: Maybe a -> Bool Source # olength :: Maybe a -> Int Source # olength64 :: Maybe a -> Int64 Source # ocompareLength :: Integral i => Maybe a -> i -> Ordering Source # otraverse_ :: Applicative f => (Element (Maybe a) -> f b) -> Maybe a -> f () Source # ofor_ :: Applicative f => Maybe a -> (Element (Maybe a) -> f b) -> f () Source # omapM_ :: Applicative m => (Element (Maybe a) -> m ()) -> Maybe a -> m () Source # oforM_ :: Applicative m => Maybe a -> (Element (Maybe a) -> m ()) -> m () Source # ofoldlM :: Monad m => (a0 -> Element (Maybe a) -> m a0) -> a0 -> Maybe a -> m a0 Source # ofoldMap1Ex :: Semigroup m => (Element (Maybe a) -> m) -> Maybe a -> m Source # ofoldr1Ex :: (Element (Maybe a) -> Element (Maybe a) -> Element (Maybe a)) -> Maybe a -> Element (Maybe a) Source # ofoldl1Ex' :: (Element (Maybe a) -> Element (Maybe a) -> Element (Maybe a)) -> Maybe a -> Element (Maybe a) Source # headEx :: Maybe a -> Element (Maybe a) Source # lastEx :: Maybe a -> Element (Maybe a) Source # unsafeHead :: Maybe a -> Element (Maybe a) Source # unsafeLast :: Maybe a -> Element (Maybe a) Source # maximumByEx :: (Element (Maybe a) -> Element (Maybe a) -> Ordering) -> Maybe a -> Element (Maybe a) Source # minimumByEx :: (Element (Maybe a) -> Element (Maybe a) -> Ordering) -> Maybe a -> Element (Maybe a) Source # | |
| MonoFunctor (Maybe a) | |
| MonoPointed (Maybe a) | |
| MonoTraversable (Maybe a) | |
| Generic1 Maybe | |
| SingI ('Nothing :: Maybe a) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| SingI a2 => SingI ('Just a2 :: Maybe a1) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| type Key Maybe | |
| type DemoteRep (Maybe a) | |
Defined in GHC.Generics | |
| type Rep (Maybe a) | Since: base-4.6.0.0 |
Defined in GHC.Generics | |
| data Sing (b :: Maybe a) | |
| type Element (Maybe a) | |
Defined in Data.MonoTraversable | |
| type Rep1 Maybe | Since: base-4.6.0.0 |
Instances
| Monoid Ordering | Since: base-2.1 |
| Semigroup Ordering | Since: base-4.9.0.0 |
| Bounded Ordering | Since: base-2.1 |
| Enum Ordering | Since: base-2.1 |
Defined in GHC.Enum Methods succ :: Ordering -> Ordering Source # pred :: Ordering -> Ordering Source # toEnum :: Int -> Ordering Source # fromEnum :: Ordering -> Int Source # enumFrom :: Ordering -> [Ordering] Source # enumFromThen :: Ordering -> Ordering -> [Ordering] Source # enumFromTo :: Ordering -> Ordering -> [Ordering] Source # enumFromThenTo :: Ordering -> Ordering -> Ordering -> [Ordering] Source # | |
| Generic Ordering | |
| Read Ordering | Since: base-2.1 |
| Show Ordering | Since: base-2.1 |
| NFData Ordering | |
Defined in Control.DeepSeq | |
| Eq Ordering | |
| Ord Ordering | |
Defined in GHC.Classes | |
| Hashable Ordering | |
| type Rep Ordering | Since: base-4.6.0.0 |
A value of type IO aa.
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
Instances
8-bit unsigned integer type
Instances
32-bit unsigned integer type
Instances
64-bit unsigned integer type
Instances
The Either type represents values with two possibilities: a value of
type Either a bLeft aRight 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
The type Either String IntString 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>>>sLeft "foo">>>let n = Right 3 :: Either String Int>>>nRight 3>>>:type ss :: Either String Int>>>:type nn :: 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) sLeft "foo">>>fmap (*2) nRight 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)>>>:}
>>>parseMultipleRight 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)>>>:}
>>>parseMultipleLeft "parse error"
Instances
class Monad m => MonadIO (m :: Type -> Type) where Source #
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:
Methods
liftIO :: IO a -> m a Source #
Lift a computation from the IO monad.
This allows us to run IO computations in any monadic stack, so long as it supports these kinds of operations
(i.e. IO is the base monad for the stack).
Example
import Control.Monad.Trans.State -- from the "transformers" library printState :: Show s => StateT s IO () printState = do state <- get liftIO $ print state
Had we omitted liftIO
• Couldn't match type ‘IO’ with ‘StateT s IO’ Expected type: StateT s IO () Actual type: IO ()
The important part here is the mismatch between StateT s IO () and IO ()
Luckily, we know of a function that takes an IO a(m a): liftIO
> evalStateT printState "hello" "hello" > evalStateT printState 3 3
Instances
| MonadIO IO | Since: base-4.9.0.0 |
| MonadIO Q | |
| MonadIO m => MonadIO (ListT m) | |
| MonadIO m => MonadIO (MaybeT m) | |
| (Functor f, MonadIO m) => MonadIO (FreeT f m) | |
Defined in Control.Monad.Trans.Free | |
| (Error e, MonadIO m) => MonadIO (ErrorT e m) | |
| MonadIO m => MonadIO (IdentityT m) | |
| MonadIO m => MonadIO (ReaderT r m) | |
| MonadIO m => MonadIO (StateT s m) | |
| MonadIO m => MonadIO (StateT s m) | |
| (Monoid w, MonadIO m) => MonadIO (WriterT w m) | |
| (Monoid w, MonadIO m) => MonadIO (WriterT w m) | |
| MonadIO m => MonadIO (ContT r m) | |
| (Monoid w, MonadIO m) => MonadIO (RWST r w s m) | |
| (Monoid w, MonadIO m) => MonadIO (RWST r w s m) | |
(>=>) :: Monad m => (a -> m b) -> (b -> m c) -> a -> m c infixr 1 Source #
Left-to-right composition of Kleisli arrows.
'(bs ' can be understood as the >=> cs) ado expression
do b <- bs a cs b
(***) :: Arrow a => a b c -> a b' c' -> a (b, b') (c, c') infixr 3 Source #
Split the input between the two argument arrows and combine their output. Note that this is in general not a functor.
The default definition may be overridden with a more efficient version if desired.
(&&&) :: Arrow a => a b c -> a b c' -> a b (c, c') infixr 3 Source #
Fanout: send the input to both argument arrows and combine their output.
The default definition may be overridden with a more efficient version if desired.
userErrorType :: IOErrorType Source #
I/O error that is programmer-defined.
tryIOError :: IO a -> IO (Either IOError a) Source #
The construct tryIOError comp exposes IO errors which occur within a
computation, and which are not fully handled.
Non-I/O exceptions are not caught by this variant; to catch all
exceptions, use try from Control.Exception.
Since: base-4.4.0.0
resourceVanishedErrorType :: IOErrorType Source #
I/O error where the operation failed because the resource vanished. This happens when, for example, attempting to write to a closed socket or attempting to write to a named pipe that was deleted.
Since: base-4.14.0.0
permissionErrorType :: IOErrorType Source #
I/O error where the operation failed because the user does not have sufficient operating system privilege to perform that operation.
modifyIOError :: (IOError -> IOError) -> IO a -> IO a Source #
Catch any IOError that occurs in the computation and throw a
modified version.
mkIOError :: IOErrorType -> String -> Maybe Handle -> Maybe FilePath -> IOError Source #
Construct an IOError of the given type where the second argument
describes the error location and the third and fourth argument
contain the file handle and file path of the file involved in the
error if applicable.
isUserErrorType :: IOErrorType -> Bool Source #
I/O error that is programmer-defined.
isUserError :: IOError -> Bool Source #
A programmer-defined error value constructed using userError.
isResourceVanishedErrorType :: IOErrorType -> Bool Source #
I/O error where the operation failed because the resource vanished.
See resourceVanishedErrorType.
Since: base-4.14.0.0
isResourceVanishedError :: IOError -> Bool Source #
An error indicating that the operation failed because the
resource vanished. See resourceVanishedErrorType.
Since: base-4.14.0.0
isPermissionErrorType :: IOErrorType -> Bool Source #
I/O error where the operation failed because the user does not have sufficient operating system privilege to perform that operation.
isPermissionError :: IOError -> Bool Source #
An error indicating that an IO operation failed because
the user does not have sufficient operating system privilege
to perform that operation.
isIllegalOperationErrorType :: IOErrorType -> Bool Source #
I/O error where the operation is not possible.
isIllegalOperation :: IOError -> Bool Source #
An error indicating that an IO operation failed because
the operation was not possible.
Any computation which returns an IO result may fail with
isIllegalOperation. In some cases, an implementation will not be
able to distinguish between the possible error causes. In this case
it should fail with isIllegalOperation.
isFullErrorType :: IOErrorType -> Bool Source #
I/O error where the operation failed because the device is full.
isFullError :: IOError -> Bool Source #
An error indicating that an IO operation failed because
the device is full.
isEOFErrorType :: IOErrorType -> Bool Source #
I/O error where the operation failed because the end of file has been reached.
isEOFError :: IOError -> Bool Source #
An error indicating that an IO operation failed because
the end of file has been reached.
isDoesNotExistErrorType :: IOErrorType -> Bool Source #
I/O error where the operation failed because one of its arguments does not exist.
isDoesNotExistError :: IOError -> Bool Source #
An error indicating that an IO operation failed because
one of its arguments does not exist.
isAlreadyInUseErrorType :: IOErrorType -> Bool Source #
I/O error where the operation failed because one of its arguments is a single-use resource, which is already being used.
isAlreadyInUseError :: IOError -> Bool Source #
An error indicating that an IO operation failed because
one of its arguments is a single-use resource, which is already
being used (for example, opening the same file twice for writing
might give this error).
isAlreadyExistsErrorType :: IOErrorType -> Bool Source #
I/O error where the operation failed because one of its arguments already exists.
isAlreadyExistsError :: IOError -> Bool Source #
An error indicating that an IO operation failed because
one of its arguments already exists.
ioeSetErrorType :: IOError -> IOErrorType -> IOError Source #
ioeGetLocation :: IOError -> String Source #
ioeGetErrorType :: IOError -> IOErrorType Source #
ioeGetErrorString :: IOError -> String Source #
illegalOperationErrorType :: IOErrorType Source #
I/O error where the operation is not possible.
fullErrorType :: IOErrorType Source #
I/O error where the operation failed because the device is full.
eofErrorType :: IOErrorType Source #
I/O error where the operation failed because the end of file has been reached.
doesNotExistErrorType :: IOErrorType Source #
I/O error where the operation failed because one of its arguments does not exist.
alreadyInUseErrorType :: IOErrorType Source #
I/O error where the operation failed because one of its arguments is a single-use resource, which is already being used.
alreadyExistsErrorType :: IOErrorType Source #
I/O error where the operation failed because one of its arguments already exists.
data IOErrorType Source #
An abstract type that contains a value for each variant of IOError.
Instances
| Show IOErrorType | Since: base-4.1.0.0 |
Defined in GHC.IO.Exception | |
| Eq IOErrorType | Since: base-4.1.0.0 |
Defined in GHC.IO.Exception Methods (==) :: IOErrorType -> IOErrorType -> Bool Source # (/=) :: IOErrorType -> IOErrorType -> Bool Source # | |
type FilePath = String Source #
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 IOException Source #
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
| Exception IOException | Since: base-4.1.0.0 |
Defined in GHC.IO.Exception Methods toException :: IOException -> SomeException Source # fromException :: SomeException -> Maybe IOException Source # displayException :: IOException -> String Source # | |
| Show IOException | Since: base-4.1.0.0 |
Defined in GHC.IO.Exception | |
| Eq IOException | Since: base-4.1.0.0 |
Defined in GHC.IO.Exception Methods (==) :: IOException -> IOException -> Bool Source # (/=) :: IOException -> IOException -> Bool Source # | |
| Error IOException | |
Defined in Control.Monad.Trans.Error | |
type IOError = IOException Source #
class (Typeable e, Show e) => Exception e where Source #
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 MyExceptionThe 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 = frontendExceptionFromExceptionWe 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 Source #
fromException :: SomeException -> Maybe e Source #
displayException :: e -> String Source #
Render this exception value in a human-friendly manner.
Default implementation: show
Since: base-4.8.0.0
Instances
asum :: (Foldable t, Alternative f) => t (f a) -> f a Source #
The sum of a collection of actions, generalizing concat.
asum is just like msum, but generalised to Alternative.
Examples
Basic usage:
>>>asum [Just "Hello", Nothing, Just "World"]Just "Hello"
The Down type allows you to reverse sort order conveniently. A value of type
Down aa (represented as Down a
If a has an Ordthen sortWith by .Down x
>>>compare True FalseGT
>>>compare (Down True) (Down False)LT
If a has a BoundedminBoundmaxBound
>>>minBound :: Int-9223372036854775808
>>>minBound :: Down IntDown 9223372036854775807
All other instances of Down aa.
Since: base-4.6.0.0
Instances
comparing :: Ord a => (b -> a) -> b -> b -> Ordering Source #
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) ...
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 aa 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
partitionEithers :: [Either a b] -> ([a], [b]) Source #
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
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(:lefts x, rights x)
>>>let list = [ Left "foo", Right 3, Left "bar", Right 7, Left "baz" ]>>>partitionEithers list == (lefts list, rights list)True
either :: (a -> c) -> (b -> c) -> Either a b -> c Source #
Case analysis for the Either type.
If the value is Left aa;
if it is Right bb.
Examples
We create two values of type Either String IntLeft 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) s3>>>either length (*2) n6
(.) :: forall (b :: k) (c :: k) (a :: k). Category cat => cat b c -> cat a b -> cat a c infixr 9 Source #
morphism composition
(^^) :: (Fractional a, Integral b) => a -> b -> a infixr 8 Source #
raise a number to an integral power
(^) :: (Num a, Integral b) => a -> b -> a infixr 8 Source #
raise a number to a non-negative integral power
maybeToList :: Maybe a -> [a] Source #
The maybeToList function returns an empty list when given
Nothing or a singleton list when given Just.
Examples
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
maybe :: b -> (a -> b) -> Maybe a -> b Source #
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
Basic usage:
>>>maybe False odd (Just 3)True
>>>maybe False odd NothingFalse
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""
mapMaybe :: (a -> Maybe b) -> [a] -> [b] Source #
The mapMaybe function is a version of map which can throw
out elements. In particular, the functional argument returns
something of type Maybe bNothing, no element
is added on to the result list. If it is Just bb is
included in the result list.
Examples
Using mapMaybe f xcatMaybes $ map f x
>>>import Text.Read ( readMaybe )>>>let readMaybeInt = readMaybe :: String -> Maybe Int>>>mapMaybe readMaybeInt ["1", "Foo", "3"][1,3]>>>catMaybes $ map readMaybeInt ["1", "Foo", "3"][1,3]
If we map the Just constructor, the entire list should be returned:
>>>mapMaybe Just [1,2,3][1,2,3]
listToMaybe :: [a] -> Maybe a Source #
The listToMaybe function returns Nothing on an empty list
or Just aa is the first element of the list.
Examples
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]
fromMaybe :: a -> Maybe a -> a Source #
The fromMaybe function takes a default value and a Maybe
value. If the Maybe is Nothing, it returns the default value;
otherwise, it returns the value contained in the Maybe.
Examples
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
bool :: a -> a -> Bool -> a Source #
Case analysis for the Bool type. bool x y px
when p is False, and evaluates to y when p is True.
This is equivalent to if p then y else x; that is, one can
think of it as an if-then-else construct with its arguments
reordered.
Examples
Basic usage:
>>>bool "foo" "bar" True"bar">>>bool "foo" "bar" False"foo"
Confirm that bool x y pif p then y else x are
equivalent:
>>>let p = True; x = "bar"; y = "foo">>>bool x y p == if p then y else xTrue>>>let p = False>>>bool x y p == if p then y else xTrue
Since: base-4.7.0.0
on :: (b -> b -> c) -> (a -> b) -> a -> a -> c infixl 0 Source #
(<$>) :: Functor f => (a -> b) -> f a -> f b infixl 4 Source #
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, <$> is function
application lifted over a Functor.
Examples
Convert from a Maybe IntMaybe
Stringshow:
>>>show <$> NothingNothing>>>show <$> Just 3Just "3"
Convert from an Either Int IntEither IntString using show:
>>>show <$> Left 17Left 17>>>show <$> Right 17Right "17"
Double each element of a list:
>>>(*2) <$> [1,2,3][2,4,6]
Apply even to the second element of a pair:
>>>even <$> (2,2)(2,True)
uncurry :: (a -> b -> c) -> (a, b) -> c Source #
uncurry converts a curried function to a function on pairs.
Examples
>>>uncurry (+) (1,2)3
>>>uncurry ($) (show, 1)"1"
>>>map (uncurry max) [(1,2), (3,4), (6,8)][2,4,8]
(<|>) :: Alternative f => f a -> f a -> f a infixl 3 Source #
An associative binary operation
until :: (a -> Bool) -> (a -> a) -> a -> a Source #
until p ff until p holds.
flip :: (a -> b -> c) -> b -> a -> c Source #
flip ff.
>>>flip (++) "hello" "world""worldhello"
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]
(=<<) :: Monad m => (a -> m b) -> m a -> m b infixr 1 Source #
Same as >>=, but with the arguments interchanged.
($!) :: forall (r :: RuntimeRep) a (b :: TYPE r). (a -> b) -> a -> b infixr 0 Source #
Strict (call-by-value) application operator. It takes a function and an argument, evaluates the argument to weak head normal form (WHNF), then calls the function with that value.
error :: forall (r :: RuntimeRep) (a :: TYPE r). HasCallStack => [Char] -> a Source #
error stops execution and displays an error message.
data SomeException Source #
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.
Instances
| Exception SomeException | Since: base-3.0 |
Defined in GHC.Exception.Type Methods toException :: SomeException -> SomeException Source # fromException :: SomeException -> Maybe SomeException Source # | |
| Show SomeException | Since: base-3.0 |
Defined in GHC.Exception.Type | |
terror :: HasCallStack => Text -> a Source #
error applied to Text
Since 0.4.1
type LByteString = ByteString Source #
Boxed vectors, supporting efficient slicing.
Instances
class (Vector Vector a, MVector MVector a) => Unbox a Source #
Instances
A map from keys to values. A map cannot contain duplicate keys; each key can map to at most one value.
Instances
| Bifoldable HashMap | Since: unordered-containers-0.2.11 |
Defined in Data.HashMap.Internal | |
| Eq2 HashMap | |
| Ord2 HashMap | |
Defined in Data.HashMap.Internal | |
| Show2 HashMap | |
Defined in Data.HashMap.Internal | |
| NFData2 HashMap | Since: unordered-containers-0.2.14.0 |
Defined in Data.HashMap.Internal | |
| Hashable2 HashMap | |
| BiPolyMap HashMap | |
Defined in Data.Containers Associated Types type BPMKeyConstraint HashMap key Source # Methods mapKeysWith :: (BPMKeyConstraint HashMap k1, BPMKeyConstraint HashMap k2) => (v -> v -> v) -> (k1 -> k2) -> HashMap k1 v -> HashMap k2 v Source # | |
| (Lift k, Lift v) => Lift (HashMap k v :: Type) | Since: unordered-containers-0.2.17.0 |
| Foldable (HashMap k) | |
Defined in Data.HashMap.Internal Methods fold :: Monoid m => HashMap k m -> m Source # foldMap :: Monoid m => (a -> m) -> HashMap k a -> m Source # foldMap' :: Monoid m => (a -> m) -> HashMap k a -> m Source # foldr :: (a -> b -> b) -> b -> HashMap k a -> b Source # foldr' :: (a -> b -> b) -> b -> HashMap k a -> b Source # foldl :: (b -> a -> b) -> b -> HashMap k a -> b Source # foldl' :: (b -> a -> b) -> b -> HashMap k a -> b Source # foldr1 :: (a -> a -> a) -> HashMap k a -> a Source # foldl1 :: (a -> a -> a) -> HashMap k a -> a Source # toList :: HashMap k a -> [a] Source # null :: HashMap k a -> Bool Source # length :: HashMap k a -> Int Source # elem :: Eq a => a -> HashMap k a -> Bool Source # maximum :: Ord a => HashMap k a -> a Source # minimum :: Ord a => HashMap k a -> a Source # | |
| Eq k => Eq1 (HashMap k) | |
| Ord k => Ord1 (HashMap k) | |
Defined in Data.HashMap.Internal | |
| (Eq k, Hashable k, Read k) => Read1 (HashMap k) | |
Defined in Data.HashMap.Internal Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (HashMap k a) Source # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [HashMap k a] Source # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (HashMap k a) Source # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [HashMap k a] Source # | |
| Show k => Show1 (HashMap k) | |
| Traversable (HashMap k) | |
Defined in Data.HashMap.Internal Methods traverse :: Applicative f => (a -> f b) -> HashMap k a -> f (HashMap k b) Source # sequenceA :: Applicative f => HashMap k (f a) -> f (HashMap k a) Source # mapM :: Monad m => (a -> m b) -> HashMap k a -> m (HashMap k b) Source # sequence :: Monad m => HashMap k (m a) -> m (HashMap k a) Source # | |
| Functor (HashMap k) | |
| NFData k => NFData1 (HashMap k) | Since: unordered-containers-0.2.14.0 |
Defined in Data.HashMap.Internal | |
| Hashable k => Hashable1 (HashMap k) | |
Defined in Data.HashMap.Internal | |
| FoldableWithKey (HashMap k) | |
Defined in Data.Key Methods toKeyedList :: HashMap k a -> [(Key (HashMap k), a)] foldMapWithKey :: Monoid m => (Key (HashMap k) -> a -> m) -> HashMap k a -> m foldrWithKey :: (Key (HashMap k) -> a -> b -> b) -> b -> HashMap k a -> b foldlWithKey :: (b -> Key (HashMap k) -> a -> b) -> b -> HashMap k a -> b | |
| (Eq k, Hashable k) => Indexable (HashMap k) | |
| Keyed (HashMap k) | |
Defined in Data.Key Methods mapWithKey :: (Key (HashMap k) -> a -> b) -> HashMap k a -> HashMap k b | |
| (Eq k, Hashable k) => Lookup (HashMap k) | |
| TraversableWithKey (HashMap k) | |
Defined in Data.Key Methods traverseWithKey :: Applicative f => (Key (HashMap k) -> a -> f b) -> HashMap k a -> f (HashMap k b) mapWithKeyM :: Monad m => (Key (HashMap k) -> a -> m b) -> HashMap k a -> m (HashMap k b) | |
| (Eq k, Hashable k) => Zip (HashMap k) | |
| (Eq k, Hashable k) => ZipWithKey (HashMap k) | |
| (Eq key, Hashable key) => PolyMap (HashMap key) | This instance uses the functions from Data.HashMap.Strict. |
Defined in Data.Containers Methods differenceMap :: HashMap key value1 -> HashMap key value2 -> HashMap key value1 Source # intersectionMap :: HashMap key value1 -> HashMap key value2 -> HashMap key value1 Source # intersectionWithMap :: (value1 -> value2 -> value3) -> HashMap key value1 -> HashMap key value2 -> HashMap key value3 Source # | |
| (Hashable k, Eq k) => Apply (HashMap k) | |
| (Hashable k, Eq k) => Bind (HashMap k) | |
| (Data k, Data v, Eq k, Hashable k) => Data (HashMap k v) | |
Defined in Data.HashMap.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> HashMap k v -> c (HashMap k v) Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (HashMap k v) Source # toConstr :: HashMap k v -> Constr Source # dataTypeOf :: HashMap k v -> DataType Source # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (HashMap k v)) Source # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (HashMap k v)) Source # gmapT :: (forall b. Data b => b -> b) -> HashMap k v -> HashMap k v Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> HashMap k v -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> HashMap k v -> r Source # gmapQ :: (forall d. Data d => d -> u) -> HashMap k v -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> HashMap k v -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> HashMap k v -> m (HashMap k v) Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> HashMap k v -> m (HashMap k v) Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> HashMap k v -> m (HashMap k v) Source # | |
| (Eq k, Hashable k) => Monoid (HashMap k v) | If a key occurs in both maps, the mapping from the first will be the mapping in the result. Examples
|
| (Eq k, Hashable k) => Semigroup (HashMap k v) | If a key occurs in both maps, the mapping from the first will be the mapping in the result. Examples
|
| (Eq k, Hashable k) => IsList (HashMap k v) | |
| (Eq k, Hashable k, Read k, Read e) => Read (HashMap k e) | |
| (Show k, Show v) => Show (HashMap k v) | |
| (NFData k, NFData v) => NFData (HashMap k v) | |
Defined in Data.HashMap.Internal | |
| (Eq k, Eq v) => Eq (HashMap k v) | Note that, in the presence of hash collisions, equal
In general, the lack of substitutivity can be observed with any function that depends on the key ordering, such as folds and traversals. |
| (Ord k, Ord v) => Ord (HashMap k v) | The ordering is total and consistent with the |
Defined in Data.HashMap.Internal Methods compare :: HashMap k v -> HashMap k v -> Ordering Source # (<) :: HashMap k v -> HashMap k v -> Bool Source # (<=) :: HashMap k v -> HashMap k v -> Bool Source # (>) :: HashMap k v -> HashMap k v -> Bool Source # (>=) :: HashMap k v -> HashMap k v -> Bool Source # | |
| (Hashable k, Hashable v) => Hashable (HashMap k v) | |
| (Hashable k, Eq k) => HasKeysSet (HashMap k v) | |
| (Eq key, Hashable key) => IsMap (HashMap key value) | This instance uses the functions from Data.HashMap.Strict. |
Defined in Data.Containers Methods lookup :: ContainerKey (HashMap key value) -> HashMap key value -> Maybe (MapValue (HashMap key value)) Source # insertMap :: ContainerKey (HashMap key value) -> MapValue (HashMap key value) -> HashMap key value -> HashMap key value Source # deleteMap :: ContainerKey (HashMap key value) -> HashMap key value -> HashMap key value Source # singletonMap :: ContainerKey (HashMap key value) -> MapValue (HashMap key value) -> HashMap key value Source # mapFromList :: [(ContainerKey (HashMap key value), MapValue (HashMap key value))] -> HashMap key value Source # mapToList :: HashMap key value -> [(ContainerKey (HashMap key value), MapValue (HashMap key value))] Source # findWithDefault :: MapValue (HashMap key value) -> ContainerKey (HashMap key value) -> HashMap key value -> MapValue (HashMap key value) Source # insertWith :: (MapValue (HashMap key value) -> MapValue (HashMap key value) -> MapValue (HashMap key value)) -> ContainerKey (HashMap key value) -> MapValue (HashMap key value) -> HashMap key value -> HashMap key value Source # insertWithKey :: (ContainerKey (HashMap key value) -> MapValue (HashMap key value) -> MapValue (HashMap key value) -> MapValue (HashMap key value)) -> ContainerKey (HashMap key value) -> MapValue (HashMap key value) -> HashMap key value -> HashMap key value Source # insertLookupWithKey :: (ContainerKey (HashMap key value) -> MapValue (HashMap key value) -> MapValue (HashMap key value) -> MapValue (HashMap key value)) -> ContainerKey (HashMap key value) -> MapValue (HashMap key value) -> HashMap key value -> (Maybe (MapValue (HashMap key value)), HashMap key value) Source # adjustMap :: (MapValue (HashMap key value) -> MapValue (HashMap key value)) -> ContainerKey (HashMap key value) -> HashMap key value -> HashMap key value Source # adjustWithKey :: (ContainerKey (HashMap key value) -> MapValue (HashMap key value) -> MapValue (HashMap key value)) -> ContainerKey (HashMap key value) -> HashMap key value -> HashMap key value Source # updateMap :: (MapValue (HashMap key value) -> Maybe (MapValue (HashMap key value))) -> ContainerKey (HashMap key value) -> HashMap key value -> HashMap key value Source # updateWithKey :: (ContainerKey (HashMap key value) -> MapValue (HashMap key value) -> Maybe (MapValue (HashMap key value))) -> ContainerKey (HashMap key value) -> HashMap key value -> HashMap key value Source # updateLookupWithKey :: (ContainerKey (HashMap key value) -> MapValue (HashMap key value) -> Maybe (MapValue (HashMap key value))) -> ContainerKey (HashMap key value) -> HashMap key value -> (Maybe (MapValue (HashMap key value)), HashMap key value) Source # alterMap :: (Maybe (MapValue (HashMap key value)) -> Maybe (MapValue (HashMap key value))) -> ContainerKey (HashMap key value) -> HashMap key value -> HashMap key value Source # unionWith :: (MapValue (HashMap key value) -> MapValue (HashMap key value) -> MapValue (HashMap key value)) -> HashMap key value -> HashMap key value -> HashMap key value Source # unionWithKey :: (ContainerKey (HashMap key value) -> MapValue (HashMap key value) -> MapValue (HashMap key value) -> MapValue (HashMap key value)) -> HashMap key value -> HashMap key value -> HashMap key value Source # unionsWith :: (MapValue (HashMap key value) -> MapValue (HashMap key value) -> MapValue (HashMap key value)) -> [HashMap key value] -> HashMap key value Source # mapWithKey :: (ContainerKey (HashMap key value) -> MapValue (HashMap key value) -> MapValue (HashMap key value)) -> HashMap key value -> HashMap key value Source # omapKeysWith :: (MapValue (HashMap key value) -> MapValue (HashMap key value) -> MapValue (HashMap key value)) -> (ContainerKey (HashMap key value) -> ContainerKey (HashMap key value)) -> HashMap key value -> HashMap key value Source # filterMap :: (MapValue (HashMap key value) -> Bool) -> HashMap key value -> HashMap key value Source # | |
| (Eq key, Hashable key) => SetContainer (HashMap key value) | This instance uses the functions from Data.HashMap.Strict. |
Defined in Data.Containers Associated Types type ContainerKey (HashMap key value) Source # Methods member :: ContainerKey (HashMap key value) -> HashMap key value -> Bool Source # notMember :: ContainerKey (HashMap key value) -> HashMap key value -> Bool Source # union :: HashMap key value -> HashMap key value -> HashMap key value Source # unions :: (MonoFoldable mono, Element mono ~ HashMap key value) => mono -> HashMap key value Source # difference :: HashMap key value -> HashMap key value -> HashMap key value Source # intersection :: HashMap key value -> HashMap key value -> HashMap key value Source # keys :: HashMap key value -> [ContainerKey (HashMap key value)] Source # | |
| (Eq k, Hashable k) => GrowingAppend (HashMap k v) | |
Defined in Data.MonoTraversable | |
| MonoFoldable (HashMap k v) | |
Defined in Data.MonoTraversable Methods ofoldMap :: Monoid m => (Element (HashMap k v) -> m) -> HashMap k v -> m Source # ofoldr :: (Element (HashMap k v) -> b -> b) -> b -> HashMap k v -> b Source # ofoldl' :: (a -> Element (HashMap k v) -> a) -> a -> HashMap k v -> a Source # otoList :: HashMap k v -> [Element (HashMap k v)] Source # oall :: (Element (HashMap k v) -> Bool) -> HashMap k v -> Bool Source # oany :: (Element (HashMap k v) -> Bool) -> HashMap k v -> Bool Source # onull :: HashMap k v -> Bool Source # olength :: HashMap k v -> Int Source # olength64 :: HashMap k v -> Int64 Source # ocompareLength :: Integral i => HashMap k v -> i -> Ordering Source # otraverse_ :: Applicative f => (Element (HashMap k v) -> f b) -> HashMap k v -> f () Source # ofor_ :: Applicative f => HashMap k v -> (Element (HashMap k v) -> f b) -> f () Source # omapM_ :: Applicative m => (Element (HashMap k v) -> m ()) -> HashMap k v -> m () Source # oforM_ :: Applicative m => HashMap k v -> (Element (HashMap k v) -> m ()) -> m () Source # ofoldlM :: Monad m => (a -> Element (HashMap k v) -> m a) -> a -> HashMap k v -> m a Source # ofoldMap1Ex :: Semigroup m => (Element (HashMap k v) -> m) -> HashMap k v -> m Source # ofoldr1Ex :: (Element (HashMap k v) -> Element (HashMap k v) -> Element (HashMap k v)) -> HashMap k v -> Element (HashMap k v) Source # ofoldl1Ex' :: (Element (HashMap k v) -> Element (HashMap k v) -> Element (HashMap k v)) -> HashMap k v -> Element (HashMap k v) Source # headEx :: HashMap k v -> Element (HashMap k v) Source # lastEx :: HashMap k v -> Element (HashMap k v) Source # unsafeHead :: HashMap k v -> Element (HashMap k v) Source # unsafeLast :: HashMap k v -> Element (HashMap k v) Source # maximumByEx :: (Element (HashMap k v) -> Element (HashMap k v) -> Ordering) -> HashMap k v -> Element (HashMap k v) Source # minimumByEx :: (Element (HashMap k v) -> Element (HashMap k v) -> Ordering) -> HashMap k v -> Element (HashMap k v) Source # oelem :: Element (HashMap k v) -> HashMap k v -> Bool Source # onotElem :: Element (HashMap k v) -> HashMap k v -> Bool Source # | |
| MonoFunctor (HashMap k v) | |
| MonoTraversable (HashMap k v) | |
| type BPMKeyConstraint HashMap key | |
Defined in Data.Containers | |
| type Key (HashMap k) | |
| type Item (HashMap k v) | |
Defined in Data.HashMap.Internal | |
| type ContainerKey (HashMap key value) | |
Defined in Data.Containers | |
| type KeySet (HashMap k v) | |
Defined in Data.Containers | |
| type MapValue (HashMap key value) | |
Defined in Data.Containers | |
| type Element (HashMap k v) | |
Defined in Data.MonoTraversable | |
A set of values. A set cannot contain duplicate values.
Instances
| Foldable HashSet | |
Defined in Data.HashSet.Internal Methods fold :: Monoid m => HashSet m -> m Source # foldMap :: Monoid m => (a -> m) -> HashSet a -> m Source # foldMap' :: Monoid m => (a -> m) -> HashSet a -> m Source # foldr :: (a -> b -> b) -> b -> HashSet a -> b Source # foldr' :: (a -> b -> b) -> b -> HashSet a -> b Source # foldl :: (b -> a -> b) -> b -> HashSet a -> b Source # foldl' :: (b -> a -> b) -> b -> HashSet a -> b Source # foldr1 :: (a -> a -> a) -> HashSet a -> a Source # foldl1 :: (a -> a -> a) -> HashSet a -> a Source # toList :: HashSet a -> [a] Source # null :: HashSet a -> Bool Source # length :: HashSet a -> Int Source # elem :: Eq a => a -> HashSet a -> Bool Source # maximum :: Ord a => HashSet a -> a Source # minimum :: Ord a => HashSet a -> a Source # | |
| Eq1 HashSet | |
| Ord1 HashSet | |
Defined in Data.HashSet.Internal | |
| Show1 HashSet | |
| NFData1 HashSet | Since: unordered-containers-0.2.14.0 |
Defined in Data.HashSet.Internal | |
| Hashable1 HashSet | |
Defined in Data.HashSet.Internal | |
| Lift a => Lift (HashSet a :: Type) | Since: unordered-containers-0.2.17.0 |
| (Data a, Eq a, Hashable a) => Data (HashSet a) | |
Defined in Data.HashSet.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> HashSet a -> c (HashSet a) Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (HashSet a) Source # toConstr :: HashSet a -> Constr Source # dataTypeOf :: HashSet a -> DataType Source # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (HashSet a)) Source # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (HashSet a)) Source # gmapT :: (forall b. Data b => b -> b) -> HashSet a -> HashSet a Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> HashSet a -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> HashSet a -> r Source # gmapQ :: (forall d. Data d => d -> u) -> HashSet a -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> HashSet a -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> HashSet a -> m (HashSet a) Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> HashSet a -> m (HashSet a) Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> HashSet a -> m (HashSet a) Source # | |
| (Hashable a, Eq a) => Monoid (HashSet a) | O(n+m) To obtain good performance, the smaller set must be presented as the first argument. Examples
|
| (Hashable a, Eq a) => Semigroup (HashSet a) | O(n+m) To obtain good performance, the smaller set must be presented as the first argument. Examples
|
| (Eq a, Hashable a) => IsList (HashSet a) | |
| (Eq a, Hashable a, Read a) => Read (HashSet a) | |
| Show a => Show (HashSet a) | |
| NFData a => NFData (HashSet a) | |
Defined in Data.HashSet.Internal | |
| Eq a => Eq (HashSet a) | Note that, in the presence of hash collisions, equal
In general, the lack of substitutivity can be observed with any function that depends on the key ordering, such as folds and traversals. |
| Ord a => Ord (HashSet a) | |
Defined in Data.HashSet.Internal | |
| Hashable a => Hashable (HashSet a) | |
| (Eq element, Hashable element) => IsSet (HashSet element) | |
Defined in Data.Containers Methods insertSet :: Element (HashSet element) -> HashSet element -> HashSet element Source # deleteSet :: Element (HashSet element) -> HashSet element -> HashSet element Source # singletonSet :: Element (HashSet element) -> HashSet element Source # setFromList :: [Element (HashSet element)] -> HashSet element Source # setToList :: HashSet element -> [Element (HashSet element)] Source # filterSet :: (Element (HashSet element) -> Bool) -> HashSet element -> HashSet element Source # | |
| (Eq element, Hashable element) => SetContainer (HashSet element) | |
Defined in Data.Containers Associated Types type ContainerKey (HashSet element) Source # Methods member :: ContainerKey (HashSet element) -> HashSet element -> Bool Source # notMember :: ContainerKey (HashSet element) -> HashSet element -> Bool Source # union :: HashSet element -> HashSet element -> HashSet element Source # unions :: (MonoFoldable mono, Element mono ~ HashSet element) => mono -> HashSet element Source # difference :: HashSet element -> HashSet element -> HashSet element Source # intersection :: HashSet element -> HashSet element -> HashSet element Source # keys :: HashSet element -> [ContainerKey (HashSet element)] Source # | |
| (Eq v, Hashable v) => GrowingAppend (HashSet v) | |
Defined in Data.MonoTraversable | |
| MonoFoldable (HashSet e) | |
Defined in Data.MonoTraversable Methods ofoldMap :: Monoid m => (Element (HashSet e) -> m) -> HashSet e -> m Source # ofoldr :: (Element (HashSet e) -> b -> b) -> b -> HashSet e -> b Source # ofoldl' :: (a -> Element (HashSet e) -> a) -> a -> HashSet e -> a Source # otoList :: HashSet e -> [Element (HashSet e)] Source # oall :: (Element (HashSet e) -> Bool) -> HashSet e -> Bool Source # oany :: (Element (HashSet e) -> Bool) -> HashSet e -> Bool Source # onull :: HashSet e -> Bool Source # olength :: HashSet e -> Int Source # olength64 :: HashSet e -> Int64 Source # ocompareLength :: Integral i => HashSet e -> i -> Ordering Source # otraverse_ :: Applicative f => (Element (HashSet e) -> f b) -> HashSet e -> f () Source # ofor_ :: Applicative f => HashSet e -> (Element (HashSet e) -> f b) -> f () Source # omapM_ :: Applicative m => (Element (HashSet e) -> m ()) -> HashSet e -> m () Source # oforM_ :: Applicative m => HashSet e -> (Element (HashSet e) -> m ()) -> m () Source # ofoldlM :: Monad m => (a -> Element (HashSet e) -> m a) -> a -> HashSet e -> m a Source # ofoldMap1Ex :: Semigroup m => (Element (HashSet e) -> m) -> HashSet e -> m Source # ofoldr1Ex :: (Element (HashSet e) -> Element (HashSet e) -> Element (HashSet e)) -> HashSet e -> Element (HashSet e) Source # ofoldl1Ex' :: (Element (HashSet e) -> Element (HashSet e) -> Element (HashSet e)) -> HashSet e -> Element (HashSet e) Source # headEx :: HashSet e -> Element (HashSet e) Source # lastEx :: HashSet e -> Element (HashSet e) Source # unsafeHead :: HashSet e -> Element (HashSet e) Source # unsafeLast :: HashSet e -> Element (HashSet e) Source # maximumByEx :: (Element (HashSet e) -> Element (HashSet e) -> Ordering) -> HashSet e -> Element (HashSet e) Source # minimumByEx :: (Element (HashSet e) -> Element (HashSet e) -> Ordering) -> HashSet e -> Element (HashSet e) Source # oelem :: Element (HashSet e) -> HashSet e -> Bool Source # onotElem :: Element (HashSet e) -> HashSet e -> Bool Source # | |
| Hashable a => MonoPointed (HashSet a) | |
| type Item (HashSet a) | |
Defined in Data.HashSet.Internal | |
| type ContainerKey (HashSet element) | |
Defined in Data.Containers | |
| type Element (HashSet e) | |
Defined in Data.MonoTraversable | |
A space efficient, packed, unboxed Unicode text type.
Instances
class Hashable a where Source #
The class of types that can be converted to a hash value.
Minimal implementation: hashWithSalt.
Note: the hash is not guaranteed to be stable across library versions, operating systems or architectures. For stable hashing use named hashes: SHA256, CRC32 etc.
If you are looking for Hashable instance in time package,
check time-compat
Minimal complete definition
Nothing
Methods
hashWithSalt :: Int -> a -> Int infixl 0 Source #
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 thehashWithSaltmethod 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 thehashWithSaltmethod 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
hashWithSaltmust make use of the salt in its implementation. hashWithSaltmay return negativeIntvalues.
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
(<.>) :: FilePath -> String -> FilePath infixr 7 Source #
Add an extension, even if there is already one there, equivalent to addExtension.
"/directory/path" <.> "ext" == "/directory/path.ext" "/directory/path" <.> ".ext" == "/directory/path.ext"
(</>) :: FilePath -> FilePath -> FilePath infixr 5 Source #
Combine two paths with a path separator.
If the second path starts with a path separator or a drive letter, then it returns the second.
The intention is that readFile (dir will access the same file as
</> file)setCurrentDirectory dir; readFile file.
Posix: "/directory" </> "file.ext" == "/directory/file.ext"
Windows: "/directory" </> "file.ext" == "/directory\\file.ext"
"directory" </> "/file.ext" == "/file.ext"
Valid x => (takeDirectory x </> takeFileName x) `equalFilePath` xCombined:
Posix: "/" </> "test" == "/test" Posix: "home" </> "bob" == "home/bob" Posix: "x:" </> "foo" == "x:/foo" Windows: "C:\\foo" </> "bar" == "C:\\foo\\bar" Windows: "home" </> "bob" == "home\\bob"
Not combined:
Posix: "home" </> "/bob" == "/bob" Windows: "home" </> "C:\\bob" == "C:\\bob"
Not combined (tricky):
On Windows, if a filepath starts with a single slash, it is relative to the
root of the current drive. In [1], this is (confusingly) referred to as an
absolute path.
The current behavior of </> is to never combine these forms.
Windows: "home" </> "/bob" == "/bob" Windows: "home" </> "\\bob" == "\\bob" Windows: "C:\\home" </> "\\bob" == "\\bob"
On Windows, from [1]: "If a file name begins with only a disk designator
but not the backslash after the colon, it is interpreted as a relative path
to the current directory on the drive with the specified letter."
The current behavior of </> is to never combine these forms.
Windows: "D:\\foo" </> "C:bar" == "C:bar" Windows: "C:\\foo" </> "C:bar" == "C:bar"
A set of values a.
Instances
| Foldable Set | Folds in order of increasing key. |
Defined in Data.Set.Internal Methods fold :: Monoid m => Set m -> m Source # foldMap :: Monoid m => (a -> m) -> Set a -> m Source # foldMap' :: Monoid m => (a -> m) -> Set a -> m Source # foldr :: (a -> b -> b) -> b -> Set a -> b Source # foldr' :: (a -> b -> b) -> b -> Set a -> b Source # foldl :: (b -> a -> b) -> b -> Set a -> b Source # foldl' :: (b -> a -> b) -> b -> Set a -> b Source # foldr1 :: (a -> a -> a) -> Set a -> a Source # foldl1 :: (a -> a -> a) -> Set a -> a Source # toList :: Set a -> [a] Source # null :: Set a -> Bool Source # length :: Set a -> Int Source # elem :: Eq a => a -> Set a -> Bool Source # maximum :: Ord a => Set a -> a Source # minimum :: Ord a => Set a -> a Source # | |
| Eq1 Set | Since: containers-0.5.9 |
| Ord1 Set | Since: containers-0.5.9 |
Defined in Data.Set.Internal | |
| Show1 Set | Since: containers-0.5.9 |
| Hashable1 Set | Since: hashable-1.3.4.0 |
Defined in Data.Hashable.Class | |
| (Data a, Ord a) => Data (Set a) | |
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) Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Set a) Source # toConstr :: Set a -> Constr Source # dataTypeOf :: Set a -> DataType Source # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Set a)) Source # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Set a)) Source # gmapT :: (forall b. Data b => b -> b) -> Set a -> Set a Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Set a -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Set a -> r Source # gmapQ :: (forall d. Data d => d -> u) -> Set a -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> Set a -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Set a -> m (Set a) Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Set a -> m (Set a) Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Set a -> m (Set a) Source # | |
| Ord a => Monoid (Set a) | |
| Ord a => Semigroup (Set a) | Since: containers-0.5.7 |
| Ord a => IsList (Set a) | Since: containers-0.5.6.2 |
| (Read a, Ord a) => Read (Set a) | |
| Show a => Show (Set a) | |
| NFData a => NFData (Set a) | |
Defined in Data.Set.Internal | |
| Eq a => Eq (Set a) | |
| Ord a => Ord (Set a) | |
Defined in Data.Set.Internal | |
| Hashable v => Hashable (Set v) | Since: hashable-1.3.4.0 |
| Ord element => IsSet (Set element) | |
Defined in Data.Containers Methods insertSet :: Element (Set element) -> Set element -> Set element Source # deleteSet :: Element (Set element) -> Set element -> Set element Source # singletonSet :: Element (Set element) -> Set element Source # setFromList :: [Element (Set element)] -> Set element Source # setToList :: Set element -> [Element (Set element)] Source # filterSet :: (Element (Set element) -> Bool) -> Set element -> Set element Source # | |
| Ord element => SetContainer (Set element) | |
Defined in Data.Containers Associated Types type ContainerKey (Set element) Source # Methods member :: ContainerKey (Set element) -> Set element -> Bool Source # notMember :: ContainerKey (Set element) -> Set element -> Bool Source # union :: Set element -> Set element -> Set element Source # unions :: (MonoFoldable mono, Element mono ~ Set element) => mono -> Set element Source # difference :: Set element -> Set element -> Set element Source # intersection :: Set element -> Set element -> Set element Source # keys :: Set element -> [ContainerKey (Set element)] Source # | |
| Ord v => GrowingAppend (Set v) | |
Defined in Data.MonoTraversable | |
| Ord e => MonoFoldable (Set e) | |
Defined in Data.MonoTraversable Methods ofoldMap :: Monoid m => (Element (Set e) -> m) -> Set e -> m Source # ofoldr :: (Element (Set e) -> b -> b) -> b -> Set e -> b Source # ofoldl' :: (a -> Element (Set e) -> a) -> a -> Set e -> a Source # otoList :: Set e -> [Element (Set e)] Source # oall :: (Element (Set e) -> Bool) -> Set e -> Bool Source # oany :: (Element (Set e) -> Bool) -> Set e -> Bool Source # onull :: Set e -> Bool Source # olength :: Set e -> Int Source # olength64 :: Set e -> Int64 Source # ocompareLength :: Integral i => Set e -> i -> Ordering Source # otraverse_ :: Applicative f => (Element (Set e) -> f b) -> Set e -> f () Source # ofor_ :: Applicative f => Set e -> (Element (Set e) -> f b) -> f () Source # omapM_ :: Applicative m => (Element (Set e) -> m ()) -> Set e -> m () Source # oforM_ :: Applicative m => Set e -> (Element (Set e) -> m ()) -> m () Source # ofoldlM :: Monad m => (a -> Element (Set e) -> m a) -> a -> Set e -> m a Source # ofoldMap1Ex :: Semigroup m => (Element (Set e) -> m) -> Set e -> m Source # ofoldr1Ex :: (Element (Set e) -> Element (Set e) -> Element (Set e)) -> Set e -> Element (Set e) Source # ofoldl1Ex' :: (Element (Set e) -> Element (Set e) -> Element (Set e)) -> Set e -> Element (Set e) Source # headEx :: Set e -> Element (Set e) Source # lastEx :: Set e -> Element (Set e) Source # unsafeHead :: Set e -> Element (Set e) Source # unsafeLast :: Set e -> Element (Set e) Source # maximumByEx :: (Element (Set e) -> Element (Set e) -> Ordering) -> Set e -> Element (Set e) Source # minimumByEx :: (Element (Set e) -> Element (Set e) -> Ordering) -> Set e -> Element (Set e) Source # | |
| MonoPointed (Set a) | |
| type Item (Set a) | |
Defined in Data.Set.Internal | |
| type ContainerKey (Set element) | |
Defined in Data.Containers | |
| type Element (Set e) | |
Defined in Data.MonoTraversable | |
General-purpose finite sequences.
Instances
| MonadFix Seq | Since: containers-0.5.11 |
| MonadZip Seq |
|
| Foldable Seq | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => Seq m -> m Source # foldMap :: Monoid m => (a -> m) -> Seq a -> m Source # foldMap' :: Monoid m => (a -> m) -> Seq a -> m Source # foldr :: (a -> b -> b) -> b -> Seq a -> b Source # foldr' :: (a -> b -> b) -> b -> Seq a -> b Source # foldl :: (b -> a -> b) -> b -> Seq a -> b Source # foldl' :: (b -> a -> b) -> b -> Seq a -> b Source # foldr1 :: (a -> a -> a) -> Seq a -> a Source # foldl1 :: (a -> a -> a) -> Seq a -> a Source # toList :: Seq a -> [a] Source # null :: Seq a -> Bool Source # length :: Seq a -> Int Source # elem :: Eq a => a -> Seq a -> Bool Source # maximum :: Ord a => Seq a -> a Source # minimum :: Ord a => Seq a -> a Source # | |
| Eq1 Seq | Since: containers-0.5.9 |
| Ord1 Seq | Since: containers-0.5.9 |
Defined in Data.Sequence.Internal | |
| Read1 Seq | Since: containers-0.5.9 |
Defined in Data.Sequence.Internal Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Seq a) Source # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Seq a] Source # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Seq a) Source # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Seq a] Source # | |
| Show1 Seq | Since: containers-0.5.9 |
| Traversable Seq | |
| Alternative Seq | Since: containers-0.5.4 |
| Applicative Seq | Since: containers-0.5.4 |
| Functor Seq | |
| Monad Seq | |
| MonadPlus Seq | |
| Zip Seq | |
| Zip3 Seq | |
| Zip4 Seq | |
Defined in Data.ChunkedZip Methods zipWith4 :: (a -> b -> c -> d -> e) -> Seq a -> Seq b -> Seq c -> Seq d -> Seq e Source # zip4 :: Seq a -> Seq b -> Seq c -> Seq d -> Seq (a, b, c, d) Source # zap4 :: Seq (a -> b -> c -> d) -> Seq a -> Seq b -> Seq c -> Seq d Source # unzip4 :: Seq (a, b, c, d) -> (Seq a, Seq b, Seq c, Seq d) Source # | |
| UnzipWith Seq | |
Defined in Data.Sequence.Internal Methods unzipWith' :: (x -> (a, b)) -> Seq x -> (Seq a, Seq b) | |
| Hashable1 Seq | Since: hashable-1.3.4.0 |
Defined in Data.Hashable.Class | |
| Adjustable Seq | |
| FoldableWithKey Seq | |
Defined in Data.Key Methods toKeyedList :: Seq a -> [(Key Seq, a)] foldMapWithKey :: Monoid m => (Key Seq -> a -> m) -> Seq a -> m foldrWithKey :: (Key Seq -> a -> b -> b) -> b -> Seq a -> b foldlWithKey :: (b -> Key Seq -> a -> b) -> b -> Seq a -> b | |
| Indexable Seq | |
| Keyed Seq | |
Defined in Data.Key Methods mapWithKey :: (Key Seq -> a -> b) -> Seq a -> Seq b | |
| Lookup Seq | |
| TraversableWithKey Seq | |
Defined in Data.Key Methods traverseWithKey :: Applicative f => (Key Seq -> a -> f b) -> Seq a -> f (Seq b) mapWithKeyM :: Monad m => (Key Seq -> a -> m b) -> Seq a -> m (Seq b) | |
| Zip Seq | |
| ZipWithKey Seq | |
| Apply Seq | |
| Bind Seq | |
| Data a => Data (Seq a) | |
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) Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Seq a) Source # toConstr :: Seq a -> Constr Source # dataTypeOf :: Seq a -> DataType Source # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Seq a)) Source # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Seq a)) Source # gmapT :: (forall b. Data b => b -> b) -> Seq a -> Seq a Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Seq a -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Seq a -> r Source # gmapQ :: (forall d. Data d => d -> u) -> Seq a -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> Seq a -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a) Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a) Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a) Source # | |
| a ~ Char => IsString (Seq a) | Since: containers-0.5.7 |
Defined in Data.Sequence.Internal Methods fromString :: String -> Seq a Source # | |
| Monoid (Seq a) | |
| Semigroup (Seq a) | Since: containers-0.5.7 |
| IsList (Seq a) | |
| Read a => Read (Seq a) | |
| Show a => Show (Seq a) | |
| NFData a => NFData (Seq a) | |
Defined in Data.Sequence.Internal | |
| Eq a => Eq (Seq a) | |
| Ord a => Ord (Seq a) | |
Defined in Data.Sequence.Internal | |
| Hashable v => Hashable (Seq v) | Since: hashable-1.3.4.0 |
| GrowingAppend (Seq a) | |
Defined in Data.MonoTraversable | |
| MonoFoldable (Seq a) | |
Defined in Data.MonoTraversable Methods ofoldMap :: Monoid m => (Element (Seq a) -> m) -> Seq a -> m Source # ofoldr :: (Element (Seq a) -> b -> b) -> b -> Seq a -> b Source # ofoldl' :: (a0 -> Element (Seq a) -> a0) -> a0 -> Seq a -> a0 Source # otoList :: Seq a -> [Element (Seq a)] Source # oall :: (Element (Seq a) -> Bool) -> Seq a -> Bool Source # oany :: (Element (Seq a) -> Bool) -> Seq a -> Bool Source # onull :: Seq a -> Bool Source # olength :: Seq a -> Int Source # olength64 :: Seq a -> Int64 Source # ocompareLength :: Integral i => Seq a -> i -> Ordering Source # otraverse_ :: Applicative f => (Element (Seq a) -> f b) -> Seq a -> f () Source # ofor_ :: Applicative f => Seq a -> (Element (Seq a) -> f b) -> f () Source # omapM_ :: Applicative m => (Element (Seq a) -> m ()) -> Seq a -> m () Source # oforM_ :: Applicative m => Seq a -> (Element (Seq a) -> m ()) -> m () Source # ofoldlM :: Monad m => (a0 -> Element (Seq a) -> m a0) -> a0 -> Seq a -> m a0 Source # ofoldMap1Ex :: Semigroup m => (Element (Seq a) -> m) -> Seq a -> m Source # ofoldr1Ex :: (Element (Seq a) -> Element (Seq a) -> Element (Seq a)) -> Seq a -> Element (Seq a) Source # ofoldl1Ex' :: (Element (Seq a) -> Element (Seq a) -> Element (Seq a)) -> Seq a -> Element (Seq a) Source # headEx :: Seq a -> Element (Seq a) Source # lastEx :: Seq a -> Element (Seq a) Source # unsafeHead :: Seq a -> Element (Seq a) Source # unsafeLast :: Seq a -> Element (Seq a) Source # maximumByEx :: (Element (Seq a) -> Element (Seq a) -> Ordering) -> Seq a -> Element (Seq a) Source # minimumByEx :: (Element (Seq a) -> Element (Seq a) -> Ordering) -> Seq a -> Element (Seq a) Source # | |
| MonoFunctor (Seq a) | |
| MonoPointed (Seq a) | |
| MonoTraversable (Seq a) | |
| IsSequence (Seq a) | |
Defined in Data.Sequences Methods fromList :: [Element (Seq a)] -> Seq a Source # lengthIndex :: Seq a -> Index (Seq a) Source # break :: (Element (Seq a) -> Bool) -> Seq a -> (Seq a, Seq a) Source # span :: (Element (Seq a) -> Bool) -> Seq a -> (Seq a, Seq a) Source # dropWhile :: (Element (Seq a) -> Bool) -> Seq a -> Seq a Source # takeWhile :: (Element (Seq a) -> Bool) -> Seq a -> Seq a Source # splitAt :: Index (Seq a) -> Seq a -> (Seq a, Seq a) Source # unsafeSplitAt :: Index (Seq a) -> Seq a -> (Seq a, Seq a) Source # take :: Index (Seq a) -> Seq a -> Seq a Source # unsafeTake :: Index (Seq a) -> Seq a -> Seq a Source # drop :: Index (Seq a) -> Seq a -> Seq a Source # unsafeDrop :: Index (Seq a) -> Seq a -> Seq a Source # dropEnd :: Index (Seq a) -> Seq a -> Seq a Source # partition :: (Element (Seq a) -> Bool) -> Seq a -> (Seq a, Seq a) Source # uncons :: Seq a -> Maybe (Element (Seq a), Seq a) Source # unsnoc :: Seq a -> Maybe (Seq a, Element (Seq a)) Source # filter :: (Element (Seq a) -> Bool) -> Seq a -> Seq a Source # filterM :: Monad m => (Element (Seq a) -> m Bool) -> Seq a -> m (Seq a) Source # replicate :: Index (Seq a) -> Element (Seq a) -> Seq a Source # replicateM :: Monad m => Index (Seq a) -> m (Element (Seq a)) -> m (Seq a) Source # groupBy :: (Element (Seq a) -> Element (Seq a) -> Bool) -> Seq a -> [Seq a] Source # groupAllOn :: Eq b => (Element (Seq a) -> b) -> Seq a -> [Seq a] Source # subsequences :: Seq a -> [Seq a] Source # permutations :: Seq a -> [Seq a] Source # tailEx :: Seq a -> Seq a Source # tailMay :: Seq a -> Maybe (Seq a) Source # initEx :: Seq a -> Seq a Source # initMay :: Seq a -> Maybe (Seq a) Source # unsafeTail :: Seq a -> Seq a Source # unsafeInit :: Seq a -> Seq a Source # index :: Seq a -> Index (Seq a) -> Maybe (Element (Seq a)) Source # indexEx :: Seq a -> Index (Seq a) -> Element (Seq a) Source # unsafeIndex :: Seq a -> Index (Seq a) -> Element (Seq a) Source # splitWhen :: (Element (Seq a) -> Bool) -> Seq a -> [Seq a] Source # | |
| SemiSequence (Seq a) | |
Defined in Data.Sequences Methods intersperse :: Element (Seq a) -> Seq a -> Seq a Source # reverse :: Seq a -> Seq a Source # find :: (Element (Seq a) -> Bool) -> Seq a -> Maybe (Element (Seq a)) Source # sortBy :: (Element (Seq a) -> Element (Seq a) -> Ordering) -> Seq a -> Seq a Source # | |
| type Key Seq | |
| type Item (Seq a) | |
Defined in Data.Sequence.Internal | |
| type Element (Seq a) | |
Defined in Data.MonoTraversable | |
| type Index (Seq a) | |
Defined in Data.Sequences | |
A Map from keys k to values a.
The Semigroup operation for Map is union, which prefers
values from the left operand. If m1 maps a key k to a value
a1, and m2 maps the same key to a different value a2, then
their union m1 <> m2 maps k to a1.
Instances
| Bifoldable Map | Since: containers-0.6.3.1 |
| Eq2 Map | Since: containers-0.5.9 |
| Ord2 Map | Since: containers-0.5.9 |
Defined in Data.Map.Internal | |
| Show2 Map | Since: containers-0.5.9 |
| Hashable2 Map | Since: hashable-1.3.4.0 |
| BiPolyMap Map | |
Defined in Data.Containers Associated Types type BPMKeyConstraint Map key Source # Methods mapKeysWith :: (BPMKeyConstraint Map k1, BPMKeyConstraint Map k2) => (v -> v -> v) -> (k1 -> k2) -> Map k1 v -> Map k2 v Source # | |
| Foldable (Map k) | Folds in order of increasing key. |
Defined in Data.Map.Internal Methods fold :: Monoid m => Map k m -> m Source # foldMap :: Monoid m => (a -> m) -> Map k a -> m Source # foldMap' :: Monoid m => (a -> m) -> Map k a -> m Source # foldr :: (a -> b -> b) -> b -> Map k a -> b Source # foldr' :: (a -> b -> b) -> b -> Map k a -> b Source # foldl :: (b -> a -> b) -> b -> Map k a -> b Source # foldl' :: (b -> a -> b) -> b -> Map k a -> b Source # foldr1 :: (a -> a -> a) -> Map k a -> a Source # foldl1 :: (a -> a -> a) -> Map k a -> a Source # toList :: Map k a -> [a] Source # null :: Map k a -> Bool Source # length :: Map k a -> Int Source # elem :: Eq a => a -> Map k a -> Bool Source # maximum :: Ord a => Map k a -> a Source # minimum :: Ord a => Map k a -> a Source # | |
| Eq k => Eq1 (Map k) | Since: containers-0.5.9 |
| Ord k => Ord1 (Map k) | Since: containers-0.5.9 |
Defined in Data.Map.Internal | |
| (Ord k, Read k) => Read1 (Map k) | Since: containers-0.5.9 |
Defined in Data.Map.Internal Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Map k a) Source # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Map k a] Source # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Map k a) Source # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Map k a] Source # | |
| Show k => Show1 (Map k) | Since: containers-0.5.9 |
| Traversable (Map k) | Traverses in order of increasing key. |
| Functor (Map k) | |
| Hashable k => Hashable1 (Map k) | Since: hashable-1.3.4.0 |
Defined in Data.Hashable.Class | |
| Ord k => Adjustable (Map k) | |
| FoldableWithKey (Map k) | |
Defined in Data.Key Methods toKeyedList :: Map k a -> [(Key (Map k), a)] foldMapWithKey :: Monoid m => (Key (Map k) -> a -> m) -> Map k a -> m foldrWithKey :: (Key (Map k) -> a -> b -> b) -> b -> Map k a -> b foldlWithKey :: (b -> Key (Map k) -> a -> b) -> b -> Map k a -> b | |
| Ord k => Indexable (Map k) | |
| Keyed (Map k) | |
Defined in Data.Key Methods mapWithKey :: (Key (Map k) -> a -> b) -> Map k a -> Map k b | |
| Ord k => Lookup (Map k) | |
| TraversableWithKey (Map k) | |
Defined in Data.Key Methods traverseWithKey :: Applicative f => (Key (Map k) -> a -> f b) -> Map k a -> f (Map k b) mapWithKeyM :: Monad m => (Key (Map k) -> a -> m b) -> Map k a -> m (Map k b) | |
| Ord k => Zip (Map k) | |
| Ord k => ZipWithKey (Map k) | |
| Ord key => PolyMap (Map key) | This instance uses the functions from Data.Map.Strict. |
Defined in Data.Containers | |
| Ord k => Apply (Map k) | |
| Ord k => Bind (Map k) | |
| (Data k, Data a, Ord k) => Data (Map k a) | |
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) Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Map k a) Source # toConstr :: Map k a -> Constr Source # dataTypeOf :: Map k a -> DataType Source # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Map k a)) Source # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Map k a)) Source # gmapT :: (forall b. Data b => b -> b) -> Map k a -> Map k a Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Map k a -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Map k a -> r Source # gmapQ :: (forall d. Data d => d -> u) -> Map k a -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> Map k a -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Map k a -> m (Map k a) Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Map k a -> m (Map k a) Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Map k a -> m (Map k a) Source # | |
| Ord k => Monoid (Map k v) | |
| Ord k => Semigroup (Map k v) | |
| Ord k => IsList (Map k v) | Since: containers-0.5.6.2 |
| (Ord k, Read k, Read e) => Read (Map k e) | |
| (Show k, Show a) => Show (Map k a) | |
| (NFData k, NFData a) => NFData (Map k a) | |
Defined in Data.Map.Internal | |
| (Eq k, Eq a) => Eq (Map k a) | |
| (Ord k, Ord v) => Ord (Map k v) | |
Defined in Data.Map.Internal | |
| (Hashable k, Hashable v) => Hashable (Map k v) | Since: hashable-1.3.4.0 |
| Ord k => HasKeysSet (Map k v) | |
| Ord key => IsMap (Map key value) | This instance uses the functions from Data.Map.Strict. |
Defined in Data.Containers Methods lookup :: ContainerKey (Map key value) -> Map key value -> Maybe (MapValue (Map key value)) Source # insertMap :: ContainerKey (Map key value) -> MapValue (Map key value) -> Map key value -> Map key value Source # deleteMap :: ContainerKey (Map key value) -> Map key value -> Map key value Source # singletonMap :: ContainerKey (Map key value) -> MapValue (Map key value) -> Map key value Source # mapFromList :: [(ContainerKey (Map key value), MapValue (Map key value))] -> Map key value Source # mapToList :: Map key value -> [(ContainerKey (Map key value), MapValue (Map key value))] Source # findWithDefault :: MapValue (Map key value) -> ContainerKey (Map key value) -> Map key value -> MapValue (Map key value) Source # insertWith :: (MapValue (Map key value) -> MapValue (Map key value) -> MapValue (Map key value)) -> ContainerKey (Map key value) -> MapValue (Map key value) -> Map key value -> Map key value Source # insertWithKey :: (ContainerKey (Map key value) -> MapValue (Map key value) -> MapValue (Map key value) -> MapValue (Map key value)) -> ContainerKey (Map key value) -> MapValue (Map key value) -> Map key value -> Map key value Source # insertLookupWithKey :: (ContainerKey (Map key value) -> MapValue (Map key value) -> MapValue (Map key value) -> MapValue (Map key value)) -> ContainerKey (Map key value) -> MapValue (Map key value) -> Map key value -> (Maybe (MapValue (Map key value)), Map key value) Source # adjustMap :: (MapValue (Map key value) -> MapValue (Map key value)) -> ContainerKey (Map key value) -> Map key value -> Map key value Source # adjustWithKey :: (ContainerKey (Map key value) -> MapValue (Map key value) -> MapValue (Map key value)) -> ContainerKey (Map key value) -> Map key value -> Map key value Source # updateMap :: (MapValue (Map key value) -> Maybe (MapValue (Map key value))) -> ContainerKey (Map key value) -> Map key value -> Map key value Source # updateWithKey :: (ContainerKey (Map key value) -> MapValue (Map key value) -> Maybe (MapValue (Map key value))) -> ContainerKey (Map key value) -> Map key value -> Map key value Source # updateLookupWithKey :: (ContainerKey (Map key value) -> MapValue (Map key value) -> Maybe (MapValue (Map key value))) -> ContainerKey (Map key value) -> Map key value -> (Maybe (MapValue (Map key value)), Map key value) Source # alterMap :: (Maybe (MapValue (Map key value)) -> Maybe (MapValue (Map key value))) -> ContainerKey (Map key value) -> Map key value -> Map key value Source # unionWith :: (MapValue (Map key value) -> MapValue (Map key value) -> MapValue (Map key value)) -> Map key value -> Map key value -> Map key value Source # unionWithKey :: (ContainerKey (Map key value) -> MapValue (Map key value) -> MapValue (Map key value) -> MapValue (Map key value)) -> Map key value -> Map key value -> Map key value Source # unionsWith :: (MapValue (Map key value) -> MapValue (Map key value) -> MapValue (Map key value)) -> [Map key value] -> Map key value Source # mapWithKey :: (ContainerKey (Map key value) -> MapValue (Map key value) -> MapValue (Map key value)) -> Map key value -> Map key value Source # omapKeysWith :: (MapValue (Map key value) -> MapValue (Map key value) -> MapValue (Map key value)) -> (ContainerKey (Map key value) -> ContainerKey (Map key value)) -> Map key value -> Map key value Source # filterMap :: (MapValue (Map key value) -> Bool) -> Map key value -> Map key value Source # | |
| Ord k => SetContainer (Map k v) | This instance uses the functions from Data.Map.Strict. |
Defined in Data.Containers Associated Types type ContainerKey (Map k v) Source # Methods member :: ContainerKey (Map k v) -> Map k v -> Bool Source # notMember :: ContainerKey (Map k v) -> Map k v -> Bool Source # union :: Map k v -> Map k v -> Map k v Source # unions :: (MonoFoldable mono, Element mono ~ Map k v) => mono -> Map k v Source # difference :: Map k v -> Map k v -> Map k v Source # | |
| Ord k => GrowingAppend (Map k v) | |
Defined in Data.MonoTraversable | |
| MonoFoldable (Map k v) | |
Defined in Data.MonoTraversable Methods ofoldMap :: Monoid m => (Element (Map k v) -> m) -> Map k v -> m Source # ofoldr :: (Element (Map k v) -> b -> b) -> b -> Map k v -> b Source # ofoldl' :: (a -> Element (Map k v) -> a) -> a -> Map k v -> a Source # otoList :: Map k v -> [Element (Map k v)] Source # oall :: (Element (Map k v) -> Bool) -> Map k v -> Bool Source # oany :: (Element (Map k v) -> Bool) -> Map k v -> Bool Source # onull :: Map k v -> Bool Source # olength :: Map k v -> Int Source # olength64 :: Map k v -> Int64 Source # ocompareLength :: Integral i => Map k v -> i -> Ordering Source # otraverse_ :: Applicative f => (Element (Map k v) -> f b) -> Map k v -> f () Source # ofor_ :: Applicative f => Map k v -> (Element (Map k v) -> f b) -> f () Source # omapM_ :: Applicative m => (Element (Map k v) -> m ()) -> Map k v -> m () Source # oforM_ :: Applicative m => Map k v -> (Element (Map k v) -> m ()) -> m () Source # ofoldlM :: Monad m => (a -> Element (Map k v) -> m a) -> a -> Map k v -> m a Source # ofoldMap1Ex :: Semigroup m => (Element (Map k v) -> m) -> Map k v -> m Source # ofoldr1Ex :: (Element (Map k v) -> Element (Map k v) -> Element (Map k v)) -> Map k v -> Element (Map k v) Source # ofoldl1Ex' :: (Element (Map k v) -> Element (Map k v) -> Element (Map k v)) -> Map k v -> Element (Map k v) Source # headEx :: Map k v -> Element (Map k v) Source # lastEx :: Map k v -> Element (Map k v) Source # unsafeHead :: Map k v -> Element (Map k v) Source # unsafeLast :: Map k v -> Element (Map k v) Source # maximumByEx :: (Element (Map k v) -> Element (Map k v) -> Ordering) -> Map k v -> Element (Map k v) Source # minimumByEx :: (Element (Map k v) -> Element (Map k v) -> Ordering) -> Map k v -> Element (Map k v) Source # | |
| MonoFunctor (Map k v) | |
| MonoTraversable (Map k v) | |
| type BPMKeyConstraint Map key | |
Defined in Data.Containers | |
| type Key (Map k) | |
| type Item (Map k v) | |
Defined in Data.Map.Internal | |
| type ContainerKey (Map k v) | |
Defined in Data.Containers | |
| type KeySet (Map k v) | |
Defined in Data.Containers | |
| type MapValue (Map key value) | |
Defined in Data.Containers | |
| type Element (Map k v) | |
Defined in Data.MonoTraversable | |
A set of integers.
Instances
A map of integers to values a.
Instances
data ByteString Source #
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
lift :: (MonadTrans t, Monad m) => m a -> t m a Source #
Lift a computation from the argument monad to the constructed monad.
undefined :: HasCallStack => a Source #
Deprecated: It is highly recommended that you either avoid partial functions or provide meaningful error messages
We define our own undefined which is marked as deprecated. This makes it
useful to use during development, but lets you more easily get
notifications if you accidentally ship partial code in production.
The classy prelude recommendation for when you need to really have a partial
function in production is to use error with a very descriptive message so
that, in case an exception is thrown, you get more information than
Prelude..undefined
Since 0.5.5
Standard
Monoid
Semigroup
class Semigroup a where Source #
The class of semigroups (types with an associative binary operation).
Instances should satisfy the following:
Since: base-4.9.0.0
Minimal complete definition
Methods
(<>) :: a -> a -> a infixr 6 Source #
An associative operation.
>>>[1,2,3] <> [4,5,6][1,2,3,4,5,6]
sconcat :: NonEmpty a -> a Source #
Reduce a non-empty list with <>
The default definition should be sufficient, but this can be overridden for efficiency.
>>>import Data.List.NonEmpty (NonEmpty (..))>>>sconcat $ "Hello" :| [" ", "Haskell", "!"]"Hello Haskell!"
stimes :: Integral b => b -> a -> a Source #
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 \(\mathcal{O}(1)\) by
picking stimes = or stimesIdempotentstimes =
respectively.stimesIdempotentMonoid
>>>stimes 4 [1][1,1,1,1]
Instances
| Semigroup Void | Since: base-4.9.0.0 |
| Semigroup ByteString | |
Defined in Data.ByteString.Internal Methods (<>) :: ByteString -> ByteString -> ByteString Source # sconcat :: NonEmpty ByteString -> ByteString Source # stimes :: Integral b => b -> ByteString -> ByteString Source # | |
| Semigroup ByteString | |
Defined in Data.ByteString.Lazy.Internal Methods (<>) :: ByteString -> ByteString -> ByteString Source # sconcat :: NonEmpty ByteString -> ByteString Source # stimes :: Integral b => b -> ByteString -> ByteString Source # | |
| Semigroup ShortByteString | |
Defined in Data.ByteString.Short.Internal Methods (<>) :: ShortByteString -> ShortByteString -> ShortByteString Source # sconcat :: NonEmpty ShortByteString -> ShortByteString Source # stimes :: Integral b => b -> ShortByteString -> ShortByteString Source # | |
| Semigroup IntSet | Since: containers-0.5.7 |
| Semigroup Ordering | Since: base-4.9.0.0 |
| Semigroup Doc | |
| Semigroup ByteArray | |
| Semigroup () | Since: base-4.9.0.0 |
| Semigroup a => Semigroup (Concurrently a) | Only defined by Since: async-2.1.0 |
Defined in Control.Concurrent.Async Methods (<>) :: Concurrently a -> Concurrently a -> Concurrently a Source # sconcat :: NonEmpty (Concurrently a) -> Concurrently a Source # stimes :: Integral b => b -> Concurrently a -> Concurrently a Source # | |
| Semigroup a => Semigroup (Identity a) | Since: base-4.9.0.0 |
| Semigroup a => Semigroup (Down a) | Since: base-4.11.0.0 |
| Semigroup (First a) | Since: base-4.9.0.0 |
| Semigroup (Last a) | Since: base-4.9.0.0 |
| Ord a => Semigroup (Max a) | Since: base-4.9.0.0 |
| Ord a => Semigroup (Min a) | Since: base-4.9.0.0 |
| Semigroup a => Semigroup (Option a) | Since: base-4.9.0.0 |
| Monoid m => Semigroup (WrappedMonoid m) | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods (<>) :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m Source # sconcat :: NonEmpty (WrappedMonoid m) -> WrappedMonoid m Source # stimes :: Integral b => b -> WrappedMonoid m -> WrappedMonoid m Source # | |
| Semigroup (NonEmpty a) | Since: base-4.9.0.0 |
| Semigroup p => Semigroup (Par1 p) | Since: base-4.12.0.0 |
| Semigroup (IntMap a) | Since: containers-0.5.7 |
| Semigroup (Seq a) | Since: containers-0.5.7 |
| Semigroup (MergeSet a) | |
| Ord a => Semigroup (Set a) | Since: containers-0.5.7 |
| Semigroup (DList a) | |
| Semigroup a => Semigroup (IO a) | Since: base-4.10.0.0 |
| (Semigroup mono, GrowingAppend mono) => Semigroup (NonNull mono) | |
| Semigroup (Doc a) | |
| Semigroup (Array a) | Since: primitive-0.6.3.0 |
| Semigroup (PrimArray a) | Since: primitive-0.6.4.0 |
| Semigroup (SmallArray a) | Since: primitive-0.6.3.0 |
Defined in Data.Primitive.SmallArray Methods (<>) :: SmallArray a -> SmallArray a -> SmallArray a Source # sconcat :: NonEmpty (SmallArray a) -> SmallArray a Source # stimes :: Integral b => b -> SmallArray a -> SmallArray a Source # | |
| Semigroup a => Semigroup (Q a) | Since: template-haskell-2.17.0.0 |
| (Hashable a, Eq a) => Semigroup (HashSet a) | O(n+m) To obtain good performance, the smaller set must be presented as the first argument. Examples
|
| Semigroup (Vector a) | |
| Prim a => Semigroup (Vector a) | |
| Storable a => Semigroup (Vector a) | |
| Semigroup a => Semigroup (Maybe a) | Since: base-4.9.0.0 |
| Semigroup a => Semigroup (a) | Since: base-4.15 |
| Semigroup [a] | Since: base-4.9.0.0 |
| Semigroup (Either a b) | Since: base-4.9.0.0 |
| Semigroup (Proxy s) | Since: base-4.9.0.0 |
| Semigroup (U1 p) | Since: base-4.12.0.0 |
| Semigroup (V1 p) | Since: base-4.12.0.0 |
| Semigroup a => Semigroup (ST s a) | Since: base-4.11.0.0 |
| Ord k => Semigroup (Map k v) | |
| Apply f => Semigroup (Act f a) | |
| (MonadUnliftIO m, Semigroup a) => Semigroup (Conc m a) | Since: unliftio-0.2.9.0 |
| (MonadUnliftIO m, Semigroup a) => Semigroup (Concurrently m a) | Only defined by Since: unliftio-0.1.0.0 |
Defined in UnliftIO.Internals.Async Methods (<>) :: Concurrently m a -> Concurrently m a -> Concurrently m a Source # sconcat :: NonEmpty (Concurrently m a) -> Concurrently m a Source # stimes :: Integral b => b -> Concurrently m a -> Concurrently m a Source # | |
| (Eq k, Hashable k) => Semigroup (HashMap k v) | If a key occurs in both maps, the mapping from the first will be the mapping in the result. Examples
|
| Semigroup b => Semigroup (a -> b) | Since: base-4.9.0.0 |
| (Semigroup a, Semigroup b) => Semigroup (a, b) | Since: base-4.9.0.0 |
| Semigroup a => Semigroup (Const a b) | Since: base-4.9.0.0 |
| Semigroup (f p) => Semigroup (Rec1 f p) | Since: base-4.12.0.0 |
| Semigroup a => Semigroup (Tagged s a) | |
| (Semigroup a, Semigroup b, Semigroup c) => Semigroup (a, b, c) | Since: base-4.9.0.0 |
| (Semigroup (f p), Semigroup (g p)) => Semigroup ((f :*: g) p) | Since: base-4.12.0.0 |
| Semigroup c => Semigroup (K1 i c p) | Since: base-4.12.0.0 |
| (Semigroup a, Semigroup b, Semigroup c, Semigroup d) => Semigroup (a, b, c, d) | Since: base-4.9.0.0 |
| Semigroup (f (g p)) => Semigroup ((f :.: g) p) | Since: base-4.12.0.0 |
| Semigroup (f p) => Semigroup (M1 i c f p) | Since: base-4.12.0.0 |
| (Semigroup a, Semigroup b, Semigroup c, Semigroup d, Semigroup e) => Semigroup (a, b, c, d, e) | Since: base-4.9.0.0 |
data WrappedMonoid m Source #
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
Functor
module Data.Functor
Applicative
liftA2 :: Applicative f => (a -> b -> c) -> f a -> f b -> f c Source #
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 <*>.
This became a typeclass method in 4.10.0.0. Prior to that, it was
a function defined in terms of <*> and fmap.
Example
>>>liftA2 (,) (Just 3) (Just 5)Just (3,5)
optional :: Alternative f => f a -> f (Maybe a) Source #
One or none.
It is useful for modelling any computation that is allowed to fail.
Examples
Using the Alternative instance of Except, the following functions:
>>>canFail = throwError "it failed" :: Except String Int>>>final = return 42 :: Except String Int
Can be combined by allowing the first function to fail:
>>>runExcept $ canFail *> finalLeft "it failed">>>runExcept $ optional canFail *> finalRight 42
class Applicative f => Alternative (f :: Type -> Type) where Source #
A monoid on applicative functors.
If defined, some and many should be the least solutions
of the equations:
Methods
The identity of <|>
(<|>) :: f a -> f a -> f a infixl 3 Source #
An associative binary operation
One or more.
Zero or more.
Instances
liftA3 :: Applicative f => (a -> b -> c -> d) -> f a -> f b -> f c -> f d Source #
Lift a ternary function to actions.
liftA :: Applicative f => (a -> b) -> f a -> f b Source #
Lift a function to actions.
Equivalent to Functor's fmap but implemented using only Applicative's methods:
`liftA f a = pure f * a`
As such this function may be used to implement a Functor instance from an Applicative one.
(<**>) :: Applicative f => f a -> f (a -> b) -> f b infixl 4 Source #
A variant of <*> with the arguments reversed.
(<&&>) :: Applicative a => a Bool -> a Bool -> a Bool infixr 3 Source #
&& lifted to an Applicative.
Since: 0.12.8
(<||>) :: Applicative a => a Bool -> a Bool -> a Bool infixr 2 Source #
|| lifted to an Applicative.
Since: 0.12.8
Monad
guard :: Alternative f => Bool -> f () Source #
Conditional failure of Alternative computations. Defined by
guard True =pure() guard False =empty
Examples
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)
>>> 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 Source #
The join function is the conventional monad join operator. It
is used to remove one level of monadic structure, projecting its
bound argument into the outer level.
'join bssdo expression
do bs <- bss bs
Examples
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
replicateM_ :: Applicative m => Int -> m a -> m () Source #
Like replicateM, but discards the result.
forever :: Applicative f => f a -> f b Source #
Repeat an action indefinitely.
Examples
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 socketforkFinally(echo client) (\_ -> hClose client) where echo :: Handle -> IO () echo client =forever$ hGetLine client >>= hPutStrLn client
Note that "forever" isn't necessarily non-terminating.
If the action is in a MonadPlusforevermzero, effectively short-circuiting its caller.
(>=>) :: Monad m => (a -> m b) -> (b -> m c) -> a -> m c infixr 1 Source #
Left-to-right composition of Kleisli arrows.
'(bs ' can be understood as the >=> cs) ado expression
do b <- bs a cs b
void :: Functor f => f a -> f () Source #
void valueIO action.
Examples
Replace the contents of a Maybe Int
>>>void NothingNothing>>>void (Just 3)Just ()
Replace the contents of an Either Int IntEither 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
class (Alternative m, Monad m) => MonadPlus (m :: Type -> Type) where Source #
Monads that also support choice and failure.
Minimal complete definition
Nothing
Methods
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 Source #
An associative operation. The default definition is
mplus = (<|>)
Instances
when :: Applicative f => Bool -> f () -> f () Source #
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.
liftM5 :: Monad m => (a1 -> a2 -> a3 -> a4 -> a5 -> r) -> m a1 -> m a2 -> m a3 -> m a4 -> m a5 -> m r Source #
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 Source #
Promote a function to a monad, scanning the monadic arguments from
left to right (cf. liftM2).
liftM3 :: Monad m => (a1 -> a2 -> a3 -> r) -> m a1 -> m a2 -> m a3 -> m r Source #
Promote a function to a monad, scanning the monadic arguments from
left to right (cf. liftM2).
liftM2 :: Monad m => (a1 -> a2 -> r) -> m a1 -> m a2 -> m r Source #
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
(=<<) :: Monad m => (a -> m b) -> m a -> m b infixr 1 Source #
Same as >>=, but with the arguments interchanged.
whenM :: Monad m => m Bool -> m () -> m () Source #
Only perform the action if the predicate returns True.
Since 0.9.2
unlessM :: Monad m => m Bool -> m () -> m () Source #
Only perform the action if the predicate returns False.
Since 0.9.2
UnliftIO reexports
module UnliftIO
Mutable references
module Data.Mutable
STM Channels
Primitive (exported since 0.9.4)
primToPrim :: (PrimBase m1, PrimMonad m2, PrimState m1 ~ PrimState m2) => m1 a -> m2 a Source #
Convert a PrimBase to another monad with the same state token.
module Data.Primitive.MutVar
Debugging
trace :: String -> a -> a Source #
Warning: Leaving traces in the code
We define our own trace (and also its variants) which provides a warning
when used. So that tracing is available during development, but the compiler
reminds you to not leave them in the code for production.
traceShowId :: Show a => a -> a Source #
Warning: Leaving traces in the code
Since 0.5.9
traceShowM :: (Show a, Monad m) => a -> m () Source #
Warning: Leaving traces in the code
Since 0.5.9
Time (since 0.6.1)
Arguments
| :: (MonadFail m, ParseTime t) | |
| => Bool | Accept leading and trailing whitespace? |
| -> TimeLocale | Time locale. |
| -> String | Format string. |
| -> String | Input string. |
| -> m t | Return the time value, or fail if the input could not be parsed using the given format. |
Parses a time value given a format string.
Supports the same %-codes as formatTime, including %-, %_ and %0 modifiers, however padding widths are not supported.
Case is not significant in the input string.
Some variations in the input are accepted:
%z- accepts any of
±HHMMor±HH:MM. %Z- accepts any string of letters, or any of the formats accepted by
%z. %0Y- accepts exactly four digits.
%0G- accepts exactly four digits.
%0C- accepts exactly two digits.
%0f- accepts exactly two digits.
For example, to parse a date in YYYY-MM-DD format, while allowing the month
and date to have optional leading zeros (notice the - modifier used for %m
and %d):
Prelude Data.Time> parseTimeM True defaultTimeLocale "%Y-%-m-%-d" "2010-3-04" :: Maybe Day Just 2010-03-04
formatTime :: FormatTime t => TimeLocale -> String -> t -> String Source #
Substitute various time-related information for each %-code in the string, as per formatCharacter.
The general form is %<modifier><width><alternate><specifier>, where <modifier>, <width>, and <alternate> are optional.
<modifier>
glibc-style modifiers can be used before the specifier (here marked as z):
%-z- no padding
%_z- pad with spaces
%0z- pad with zeros
%^z- convert to upper case
%#z- convert to lower case (consistently, unlike glibc)
<width>
Width digits can also be used after any modifiers and before the specifier (here marked as z), for example:
%4z- pad to 4 characters (with default padding character)
%_12z- pad with spaces to 12 characters
<alternate>
An optional E character indicates an alternate formatting. Currently this only affects %Z and %z.
%Ez- alternate formatting
<specifier>
For all types (note these three are done by formatTime, not by formatCharacter):
%%%%t- tab
%n- newline
TimeZone
For TimeZone (and ZonedTime and UTCTime):
%z- timezone offset in the format
±HHMM %Ez- timezone offset in the format
±HH:MM %Z- timezone name (or else offset in the format
±HHMM) %EZ- timezone name (or else offset in the format
±HH:MM)
LocalTime
For LocalTime (and ZonedTime and UTCTime and UniversalTime):
%c- as
dateTimeFmtlocale(e.g.%a %b %e %H:%M:%S %Z %Y)
TimeOfDay
For TimeOfDay (and LocalTime and ZonedTime and UTCTime and UniversalTime):
%R- same as
%H:%M %T- same as
%H:%M:%S %X- as
timeFmtlocale(e.g.%H:%M:%S) %r- as
time12Fmtlocale(e.g.%I:%M:%S %p) %P- day-half of day from (
amPmlocale), converted to lowercase,am,pm %p- day-half of day from (
amPmlocale),AM,PM %H- hour of day (24-hour), 0-padded to two chars,
00-23 %k- hour of day (24-hour), space-padded to two chars,
0-23 %I- hour of day-half (12-hour), 0-padded to two chars,
01-12 %l- hour of day-half (12-hour), space-padded to two chars,
1-12 %M- minute of hour, 0-padded to two chars,
00-59 %S- second of minute (without decimal part), 0-padded to two chars,
00-60 %q- picosecond of second, 0-padded to twelve chars,
000000000000-999999999999. %Q- decimal point and fraction of second, up to 12 second decimals, without trailing zeros.
For a whole number of seconds,
%Qomits the decimal point unless padding is specified.
UTCTime and ZonedTime
For UTCTime and ZonedTime:
%s- number of whole seconds since the Unix epoch. For times before
the Unix epoch, this is a negative number. Note that in
%s.%qand%s%Qthe decimals are positive, not negative. For example, 0.9 seconds before the Unix epoch is formatted as-1.1with%s%Q.
DayOfWeek
For DayOfWeek (and Day and LocalTime and ZonedTime and UTCTime and UniversalTime):
%u- day of week number for Week Date format,
1(= Monday) -7(= Sunday) %w- day of week number,
0(= Sunday) -6(= Saturday) %a- day of week, short form (
sndfromwDayslocale),Sun-Sat %A- day of week, long form (
fstfromwDayslocale),Sunday-Saturday
Day
For Day (and LocalTime and ZonedTime and UTCTime and UniversalTime):
%D- same as
%m/%d/%y %F- same as
%Y-%m-%d %x- as
dateFmtlocale(e.g.%m/%d/%y) %Y- year, no padding. Note
%0Yand%_Ypad to four chars %y- year of century, 0-padded to two chars,
00-99 %C- century, no padding. Note
%0Cand%_Cpad to two chars %B- month name, long form (
fstfrommonthslocale),January-December %b,%h- month name, short form (
sndfrommonthslocale),Jan-Dec %m- month of year, 0-padded to two chars,
01-12 %d- day of month, 0-padded to two chars,
01-31 %e- day of month, space-padded to two chars,
1-31 %j- day of year, 0-padded to three chars,
001-366 %f- century for Week Date format, no padding. Note
%0fand%_fpad to two chars %V- week of year for Week Date format, 0-padded to two chars,
01-53 %U- week of year where weeks start on Sunday (as
sundayStartWeek), 0-padded to two chars,00-53 %W- week of year where weeks start on Monday (as
mondayStartWeek), 0-padded to two chars,00-53
Duration types
The specifiers for DiffTime, NominalDiffTime, CalendarDiffDays, and CalendarDiffTime are semantically
separate from the other types.
Specifiers on negative time differences will generally be negative (think rem rather than mod).
NominalDiffTime and DiffTime
Note that a "minute" of DiffTime is simply 60 SI seconds, rather than a minute of civil time.
Use NominalDiffTime to work with civil time, ignoring any leap seconds.
For NominalDiffTime and DiffTime:
%w- total whole weeks
%d- total whole days
%D- whole days of week
%h- total whole hours
%H- whole hours of day
%m- total whole minutes
%M- whole minutes of hour
%s- total whole seconds
%Es- total seconds, with decimal point and up to <width> (default 12) decimal places, without trailing zeros.
For a whole number of seconds,
%Esomits the decimal point unless padding is specified. %0Es- total seconds, with decimal point and <width> (default 12) decimal places.
%S- whole seconds of minute
%ES- seconds of minute, with decimal point and up to <width> (default 12) decimal places, without trailing zeros.
For a whole number of seconds,
%ESomits the decimal point unless padding is specified. %0ES- seconds of minute as two digits, with decimal point and <width> (default 12) decimal places.
CalendarDiffDays
For CalendarDiffDays (and CalendarDiffTime):
%y- total years
%b- total months
%B- months of year
%w- total weeks, not including months
%d- total days, not including months
%D- days of week
CalendarDiffTime
For CalendarDiffTime:
%h- total hours, not including months
%H- hours of day
%m- total minutes, not including months
%M- minutes of hour
%s- total whole seconds, not including months
%Es- total seconds, not including months, with decimal point and up to <width> (default 12) decimal places, without trailing zeros.
For a whole number of seconds,
%Esomits the decimal point unless padding is specified. %0Es- total seconds, not including months, with decimal point and <width> (default 12) decimal places.
%S- whole seconds of minute
%ES- seconds of minute, with decimal point and up to <width> (default 12) decimal places, without trailing zeros.
For a whole number of seconds,
%ESomits the decimal point unless padding is specified. %0ES- seconds of minute as two digits, with decimal point and <width> (default 12) decimal places.
defaultTimeLocale :: TimeLocale Source #
Locale representing American usage.
knownTimeZones contains only the ten time-zones mentioned in RFC 822 sec. 5:
"UT", "GMT", "EST", "EDT", "CST", "CDT", "MST", "MDT", "PST", "PDT".
Note that the parsing functions will regardless parse "UTC", single-letter military time-zones, and +HHMM format.
This is the simplest representation of UTC. It consists of the day number, and a time offset from midnight. Note that if a day has a leap second added to it, it will have 86401 seconds.
Constructors
| UTCTime | |
Fields
| |
Instances
| Data UTCTime | |
Defined in Data.Time.Clock.Internal.UTCTime Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> UTCTime -> c UTCTime Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c UTCTime Source # toConstr :: UTCTime -> Constr Source # dataTypeOf :: UTCTime -> DataType Source # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c UTCTime) Source # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c UTCTime) Source # gmapT :: (forall b. Data b => b -> b) -> UTCTime -> UTCTime Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> UTCTime -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> UTCTime -> r Source # gmapQ :: (forall d. Data d => d -> u) -> UTCTime -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> UTCTime -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> UTCTime -> m UTCTime Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> UTCTime -> m UTCTime Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> UTCTime -> m UTCTime Source # | |
| NFData UTCTime | |
Defined in Data.Time.Clock.Internal.UTCTime | |
| Eq UTCTime | |
| Ord UTCTime | |
Defined in Data.Time.Clock.Internal.UTCTime | |
toGregorian :: Day -> (Integer, Int, Int) Source #
Convert to proleptic Gregorian calendar. First element of result is year, second month number (1-12), third day (1-31).
fromGregorian :: Integer -> Int -> Int -> Day Source #
Convert from proleptic Gregorian calendar. First argument is year, second month number (1-12), third day (1-31). Invalid values will be clipped to the correct range, month first, then day.
The Modified Julian Day is a standard count of days, with zero being the day 1858-11-17.
Constructors
| ModifiedJulianDay | |
Fields | |
Instances
| Data Day | |
Defined in Data.Time.Calendar.Days Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Day -> c Day Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Day Source # toConstr :: Day -> Constr Source # dataTypeOf :: Day -> DataType Source # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Day) Source # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Day) Source # gmapT :: (forall b. Data b => b -> b) -> Day -> Day Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Day -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Day -> r Source # gmapQ :: (forall d. Data d => d -> u) -> Day -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> Day -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Day -> m Day Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Day -> m Day Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Day -> m Day Source # | |
| Enum Day | |
Defined in Data.Time.Calendar.Days | |
| Ix Day | |
| NFData Day | |
Defined in Data.Time.Calendar.Days | |
| Eq Day | |
| Ord Day | |
Generics (since 0.8.1)
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≡idto.from≡id
Instances
Transformers (since 0.9.4)
Identity functor and monad. (a non-strict monad)
Since: base-4.8.0.0
Constructors
| Identity | |
Fields
| |
Instances
class Monad m => MonadReader r (m :: Type -> Type) | m -> r Source #
See examples in Control.Monad.Reader.
Note, the partially applied function type (->) r is a simple reader monad.
See the instance declaration below.
Instances
| (Representable f, Rep f ~ a) => MonadReader a (Co f) | |
| (Functor m, MonadReader e m) => MonadReader e (Free m) | |
| MonadReader r m => MonadReader r (ListT m) | |
| MonadReader r m => MonadReader r (MaybeT m) | |
| (Functor f, Functor m, MonadReader r m) => MonadReader r (FreeT f m) | |
| (Error e, MonadReader r m) => MonadReader r (ErrorT e m) | |
| MonadReader r m => MonadReader r (ExceptT e m) | Since: mtl-2.2 |
| MonadReader r m => MonadReader r (IdentityT m) | |
| Monad m => MonadReader r (ReaderT r m) | |
| MonadReader r m => MonadReader r (StateT s m) | |
| MonadReader r m => MonadReader r (StateT s m) | |
| (Monoid w, MonadReader r m) => MonadReader r (WriterT w m) | |
| (Monoid w, MonadReader r m) => MonadReader r (WriterT w m) | |
| MonadReader r ((->) r) | |
| MonadReader r' m => MonadReader r' (ContT r m) | |
| (Monad m, Monoid w) => MonadReader r (RWST r w s m) | |
| (Monad m, Monoid w) => MonadReader r (RWST r w s m) | |
ask :: MonadReader r m => m r Source #
Retrieves the monad environment.
Arguments
| :: MonadReader r m | |
| => (r -> a) | The selector function to apply to the environment. |
| -> m a |
Retrieves a function of the current environment.
newtype ReaderT r (m :: Type -> Type) a Source #
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
| |
Instances
| Monad m => MonadReader r (ReaderT r m) | |
| MonadTrans (ReaderT r) | |
| Representable m => Representable (ReaderT e m) | |
| MonadFail m => MonadFail (ReaderT r m) | |
| MonadFix m => MonadFix (ReaderT r m) | |
| MonadIO m => MonadIO (ReaderT r m) | |
| MonadZip m => MonadZip (ReaderT r m) | |
| Contravariant m => Contravariant (ReaderT r m) | |
| Alternative m => Alternative (ReaderT r m) | |
| Applicative m => Applicative (ReaderT r m) | |
Defined in Control.Monad.Trans.Reader Methods pure :: a -> ReaderT r m a Source # (<*>) :: ReaderT r m (a -> b) -> ReaderT r m a -> ReaderT r m b Source # liftA2 :: (a -> b -> c) -> ReaderT r m a -> ReaderT r m b -> ReaderT r m c Source # (*>) :: ReaderT r m a -> ReaderT r m b -> ReaderT r m b Source # (<*) :: ReaderT r m a -> ReaderT r m b -> ReaderT r m a Source # | |
| Functor m => Functor (ReaderT r m) | |
| Monad m => Monad (ReaderT r m) | |
| MonadPlus m => MonadPlus (ReaderT r m) | |
| Zip m => Zip (ReaderT e m) | |
Defined in Data.ChunkedZip | |
| Indexable m => Indexable (ReaderT e m) | |
| Keyed m => Keyed (ReaderT e m) | |
Defined in Data.Key Methods mapWithKey :: (Key (ReaderT e m) -> a -> b) -> ReaderT e m a -> ReaderT e m b | |
| Lookup m => Lookup (ReaderT e m) | |
| Zip m => Zip (ReaderT e m) | |
| ZipWithKey m => ZipWithKey (ReaderT e m) | |
| PrimMonad m => PrimMonad (ReaderT r m) | |
| Apply m => Apply (ReaderT e m) | |
| Bind m => Bind (ReaderT e m) | |
| MonadUnliftIO m => MonadUnliftIO (ReaderT r m) | |
Defined in Control.Monad.IO.Unlift Methods withRunInIO :: ((forall a. ReaderT r m a -> IO a) -> IO b) -> ReaderT r m b | |
| Functor m => MonoFunctor (ReaderT r m a) | |
| Applicative m => MonoPointed (ReaderT r m a) | |
| type Rep (ReaderT e m) | |
Defined in Data.Functor.Rep type Rep (ReaderT e m) = (e, Rep m) | |
| type Key (ReaderT e m) | |
| type PrimState (ReaderT r m) | |
Defined in Control.Monad.Primitive | |
| type Element (ReaderT r m a) | |
Defined in Data.MonoTraversable | |
type Reader r = ReaderT r Identity Source #
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.
Poly hierarchy
class Foldable (t :: Type -> Type) Source #
The Foldable class represents data structures that can be reduced to a summary value one element at a time. Strict left-associative folds are a good fit for space-efficient reduction, while lazy right-associative folds are a good fit for corecursive iteration, or for folds that short-circuit after processing an initial subsequence of the structure's elements.
Instances can be derived automatically by enabling the DeriveFoldable
extension. For example, a derived instance for a binary tree might be:
{-# LANGUAGE DeriveFoldable #-}
data Tree a = Empty
| Leaf a
| Node (Tree a) a (Tree a)
deriving FoldableA more detailed description can be found in the Overview section of Data.Foldable.
For the class laws see the Laws section of Data.Foldable.
Instances
| Foldable ZipList | Since: base-4.9.0.0 |
Defined in Control.Applicative Methods fold :: Monoid m => ZipList m -> m Source # foldMap :: Monoid m => (a -> m) -> ZipList a -> m Source # foldMap' :: Monoid m => (a -> m) -> ZipList a -> m Source # foldr :: (a -> b -> b) -> b -> ZipList a -> b Source # foldr' :: (a -> b -> b) -> b -> ZipList a -> b Source # foldl :: (b -> a -> b) -> b -> ZipList a -> b Source # foldl' :: (b -> a -> b) -> b -> ZipList a -> b Source # foldr1 :: (a -> a -> a) -> ZipList a -> a Source # foldl1 :: (a -> a -> a) -> ZipList a -> a Source # toList :: ZipList a -> [a] Source # null :: ZipList a -> Bool Source # length :: ZipList a -> Int Source # elem :: Eq a => a -> ZipList a -> Bool Source # maximum :: Ord a => ZipList a -> a Source # minimum :: Ord a => ZipList a -> a Source # | |
| Foldable Complex | Since: base-4.9.0.0 |
Defined in Data.Complex Methods fold :: Monoid m => Complex m -> m Source # foldMap :: Monoid m => (a -> m) -> Complex a -> m Source # foldMap' :: Monoid m => (a -> m) -> Complex a -> m Source # foldr :: (a -> b -> b) -> b -> Complex a -> b Source # foldr' :: (a -> b -> b) -> b -> Complex a -> b Source # foldl :: (b -> a -> b) -> b -> Complex a -> b Source # foldl' :: (b -> a -> b) -> b -> Complex a -> b Source # foldr1 :: (a -> a -> a) -> Complex a -> a Source # foldl1 :: (a -> a -> a) -> Complex a -> a Source # toList :: Complex a -> [a] Source # null :: Complex a -> Bool Source # length :: Complex a -> Int Source # elem :: Eq a => a -> Complex a -> Bool Source # maximum :: Ord a => Complex a -> a Source # minimum :: Ord a => Complex a -> a Source # | |
| Foldable Identity | Since: base-4.8.0.0 |
Defined in Data.Functor.Identity Methods fold :: Monoid m => Identity m -> m Source # foldMap :: Monoid m => (a -> m) -> Identity a -> m Source # foldMap' :: Monoid m => (a -> m) -> Identity a -> m Source # foldr :: (a -> b -> b) -> b -> Identity a -> b Source # foldr' :: (a -> b -> b) -> b -> Identity a -> b Source # foldl :: (b -> a -> b) -> b -> Identity a -> b Source # foldl' :: (b -> a -> b) -> b -> Identity a -> b Source # foldr1 :: (a -> a -> a) -> Identity a -> a Source # foldl1 :: (a -> a -> a) -> Identity a -> a Source # toList :: Identity a -> [a] Source # null :: Identity a -> Bool Source # length :: Identity a -> Int Source # elem :: Eq a => a -> Identity a -> Bool Source # maximum :: Ord a => Identity a -> a Source # minimum :: Ord a => Identity a -> a Source # | |
| Foldable First | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => First m -> m Source # foldMap :: Monoid m => (a -> m) -> First a -> m Source # foldMap' :: Monoid m => (a -> m) -> First a -> m Source # foldr :: (a -> b -> b) -> b -> First a -> b Source # foldr' :: (a -> b -> b) -> b -> First a -> b Source # foldl :: (b -> a -> b) -> b -> First a -> b Source # foldl' :: (b -> a -> b) -> b -> First a -> b Source # foldr1 :: (a -> a -> a) -> First a -> a Source # foldl1 :: (a -> a -> a) -> First a -> a Source # toList :: First a -> [a] Source # null :: First a -> Bool Source # length :: First a -> Int Source # elem :: Eq a => a -> First a -> Bool Source # maximum :: Ord a => First a -> a Source # minimum :: Ord a => First a -> a Source # | |
| Foldable Last | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Last m -> m Source # foldMap :: Monoid m => (a -> m) -> Last a -> m Source # foldMap' :: Monoid m => (a -> m) -> Last a -> m Source # foldr :: (a -> b -> b) -> b -> Last a -> b Source # foldr' :: (a -> b -> b) -> b -> Last a -> b Source # foldl :: (b -> a -> b) -> b -> Last a -> b Source # foldl' :: (b -> a -> b) -> b -> Last a -> b Source # foldr1 :: (a -> a -> a) -> Last a -> a Source # foldl1 :: (a -> a -> a) -> Last a -> a Source # toList :: Last a -> [a] Source # null :: Last a -> Bool Source # length :: Last a -> Int Source # elem :: Eq a => a -> Last a -> Bool Source # maximum :: Ord a => Last a -> a Source # minimum :: Ord a => Last a -> a Source # | |
| Foldable Down | Since: base-4.12.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Down m -> m Source # foldMap :: Monoid m => (a -> m) -> Down a -> m Source # foldMap' :: Monoid m => (a -> m) -> Down a -> m Source # foldr :: (a -> b -> b) -> b -> Down a -> b Source # foldr' :: (a -> b -> b) -> b -> Down a -> b Source # foldl :: (b -> a -> b) -> b -> Down a -> b Source # foldl' :: (b -> a -> b) -> b -> Down a -> b Source # foldr1 :: (a -> a -> a) -> Down a -> a Source # foldl1 :: (a -> a -> a) -> Down a -> a Source # toList :: Down a -> [a] Source # null :: Down a -> Bool Source # length :: Down a -> Int Source # elem :: Eq a => a -> Down a -> Bool Source # maximum :: Ord a => Down a -> a Source # minimum :: Ord a => Down a -> a Source # | |
| Foldable First | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => First m -> m Source # foldMap :: Monoid m => (a -> m) -> First a -> m Source # foldMap' :: Monoid m => (a -> m) -> First a -> m Source # foldr :: (a -> b -> b) -> b -> First a -> b Source # foldr' :: (a -> b -> b) -> b -> First a -> b Source # foldl :: (b -> a -> b) -> b -> First a -> b Source # foldl' :: (b -> a -> b) -> b -> First a -> b Source # foldr1 :: (a -> a -> a) -> First a -> a Source # foldl1 :: (a -> a -> a) -> First a -> a Source # toList :: First a -> [a] Source # null :: First a -> Bool Source # length :: First a -> Int Source # elem :: Eq a => a -> First a -> Bool Source # maximum :: Ord a => First a -> a Source # minimum :: Ord a => First a -> a Source # | |
| Foldable Last | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => Last m -> m Source # foldMap :: Monoid m => (a -> m) -> Last a -> m Source # foldMap' :: Monoid m => (a -> m) -> Last a -> m Source # foldr :: (a -> b -> b) -> b -> Last a -> b Source # foldr' :: (a -> b -> b) -> b -> Last a -> b Source # foldl :: (b -> a -> b) -> b -> Last a -> b Source # foldl' :: (b -> a -> b) -> b -> Last a -> b Source # foldr1 :: (a -> a -> a) -> Last a -> a Source # foldl1 :: (a -> a -> a) -> Last a -> a Source # toList :: Last a -> [a] Source # null :: Last a -> Bool Source # length :: Last a -> Int Source # elem :: Eq a => a -> Last a -> Bool Source # maximum :: Ord a => Last a -> a Source # minimum :: Ord a => Last a -> a Source # | |
| Foldable Max | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => Max m -> m Source # foldMap :: Monoid m => (a -> m) -> Max a -> m Source # foldMap' :: Monoid m => (a -> m) -> Max a -> m Source # foldr :: (a -> b -> b) -> b -> Max a -> b Source # foldr' :: (a -> b -> b) -> b -> Max a -> b Source # foldl :: (b -> a -> b) -> b -> Max a -> b Source # foldl' :: (b -> a -> b) -> b -> Max a -> b Source # foldr1 :: (a -> a -> a) -> Max a -> a Source # foldl1 :: (a -> a -> a) -> Max a -> a Source # toList :: Max a -> [a] Source # null :: Max a -> Bool Source # length :: Max a -> Int Source # elem :: Eq a => a -> Max a -> Bool Source # maximum :: Ord a => Max a -> a Source # minimum :: Ord a => Max a -> a Source # | |
| Foldable Min | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => Min m -> m Source # foldMap :: Monoid m => (a -> m) -> Min a -> m Source # foldMap' :: Monoid m => (a -> m) -> Min a -> m Source # foldr :: (a -> b -> b) -> b -> Min a -> b Source # foldr' :: (a -> b -> b) -> b -> Min a -> b Source # foldl :: (b -> a -> b) -> b -> Min a -> b Source # foldl' :: (b -> a -> b) -> b -> Min a -> b Source # foldr1 :: (a -> a -> a) -> Min a -> a Source # foldl1 :: (a -> a -> a) -> Min a -> a Source # toList :: Min a -> [a] Source # null :: Min a -> Bool Source # length :: Min a -> Int Source # elem :: Eq a => a -> Min a -> Bool Source # maximum :: Ord a => Min a -> a Source # minimum :: Ord a => Min a -> a Source # | |
| Foldable Option | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => Option m -> m Source # foldMap :: Monoid m => (a -> m) -> Option a -> m Source # foldMap' :: Monoid m => (a -> m) -> Option a -> m Source # foldr :: (a -> b -> b) -> b -> Option a -> b Source # foldr' :: (a -> b -> b) -> b -> Option a -> b Source # foldl :: (b -> a -> b) -> b -> Option a -> b Source # foldl' :: (b -> a -> b) -> b -> Option a -> b Source # foldr1 :: (a -> a -> a) -> Option a -> a Source # foldl1 :: (a -> a -> a) -> Option a -> a Source # toList :: Option a -> [a] Source # null :: Option a -> Bool Source # length :: Option a -> Int Source # elem :: Eq a => a -> Option a -> Bool Source # maximum :: Ord a => Option a -> a Source # minimum :: Ord a => Option a -> a Source # | |
| Foldable Dual | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Dual m -> m Source # foldMap :: Monoid m => (a -> m) -> Dual a -> m Source # foldMap' :: Monoid m => (a -> m) -> Dual a -> m Source # foldr :: (a -> b -> b) -> b -> Dual a -> b Source # foldr' :: (a -> b -> b) -> b -> Dual a -> b Source # foldl :: (b -> a -> b) -> b -> Dual a -> b Source # foldl' :: (b -> a -> b) -> b -> Dual a -> b Source # foldr1 :: (a -> a -> a) -> Dual a -> a Source # foldl1 :: (a -> a -> a) -> Dual a -> a Source # toList :: Dual a -> [a] Source # null :: Dual a -> Bool Source # length :: Dual a -> Int Source # elem :: Eq a => a -> Dual a -> Bool Source # maximum :: Ord a => Dual a -> a Source # minimum :: Ord a => Dual a -> a Source # | |
| Foldable Product | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Product m -> m Source # foldMap :: Monoid m => (a -> m) -> Product a -> m Source # foldMap' :: Monoid m => (a -> m) -> Product a -> m Source # foldr :: (a -> b -> b) -> b -> Product a -> b Source # foldr' :: (a -> b -> b) -> b -> Product a -> b Source # foldl :: (b -> a -> b) -> b -> Product a -> b Source # foldl' :: (b -> a -> b) -> b -> Product a -> b Source # foldr1 :: (a -> a -> a) -> Product a -> a Source # foldl1 :: (a -> a -> a) -> Product a -> a Source # toList :: Product a -> [a] Source # null :: Product a -> Bool Source # length :: Product a -> Int Source # elem :: Eq a => a -> Product a -> Bool Source # maximum :: Ord a => Product a -> a Source # minimum :: Ord a => Product a -> a Source # | |
| Foldable Sum | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Sum m -> m Source # foldMap :: Monoid m => (a -> m) -> Sum a -> m Source # foldMap' :: Monoid m => (a -> m) -> Sum a -> m Source # foldr :: (a -> b -> b) -> b -> Sum a -> b Source # foldr' :: (a -> b -> b) -> b -> Sum a -> b Source # foldl :: (b -> a -> b) -> b -> Sum a -> b Source # foldl' :: (b -> a -> b) -> b -> Sum a -> b Source # foldr1 :: (a -> a -> a) -> Sum a -> a Source # foldl1 :: (a -> a -> a) -> Sum a -> a Source # toList :: Sum a -> [a] Source # null :: Sum a -> Bool Source # length :: Sum a -> Int Source # elem :: Eq a => a -> Sum a -> Bool Source # maximum :: Ord a => Sum a -> a Source # minimum :: Ord a => Sum a -> a Source # | |
| Foldable NonEmpty | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => NonEmpty m -> m Source # foldMap :: Monoid m => (a -> m) -> NonEmpty a -> m Source # foldMap' :: Monoid m => (a -> m) -> NonEmpty a -> m Source # foldr :: (a -> b -> b) -> b -> NonEmpty a -> b Source # foldr' :: (a -> b -> b) -> b -> NonEmpty a -> b Source # foldl :: (b -> a -> b) -> b -> NonEmpty a -> b Source # foldl' :: (b -> a -> b) -> b -> NonEmpty a -> b Source # foldr1 :: (a -> a -> a) -> NonEmpty a -> a Source # foldl1 :: (a -> a -> a) -> NonEmpty a -> a Source # toList :: NonEmpty a -> [a] Source # null :: NonEmpty a -> Bool Source # length :: NonEmpty a -> Int Source # elem :: Eq a => a -> NonEmpty a -> Bool Source # maximum :: Ord a => NonEmpty a -> a Source # minimum :: Ord a => NonEmpty a -> a Source # | |
| Foldable Par1 | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Par1 m -> m Source # foldMap :: Monoid m => (a -> m) -> Par1 a -> m Source # foldMap' :: Monoid m => (a -> m) -> Par1 a -> m Source # foldr :: (a -> b -> b) -> b -> Par1 a -> b Source # foldr' :: (a -> b -> b) -> b -> Par1 a -> b Source # foldl :: (b -> a -> b) -> b -> Par1 a -> b Source # foldl' :: (b -> a -> b) -> b -> Par1 a -> b Source # foldr1 :: (a -> a -> a) -> Par1 a -> a Source # foldl1 :: (a -> a -> a) -> Par1 a -> a Source # toList :: Par1 a -> [a] Source # null :: Par1 a -> Bool Source # length :: Par1 a -> Int Source # elem :: Eq a => a -> Par1 a -> Bool Source # maximum :: Ord a => Par1 a -> a Source # minimum :: Ord a => Par1 a -> a Source # | |
| Foldable IntMap | Folds in order of increasing key. |
Defined in Data.IntMap.Internal Methods fold :: Monoid m => IntMap m -> m Source # foldMap :: Monoid m => (a -> m) -> IntMap a -> m Source # foldMap' :: Monoid m => (a -> m) -> IntMap a -> m Source # foldr :: (a -> b -> b) -> b -> IntMap a -> b Source # foldr' :: (a -> b -> b) -> b -> IntMap a -> b Source # foldl :: (b -> a -> b) -> b -> IntMap a -> b Source # foldl' :: (b -> a -> b) -> b -> IntMap a -> b Source # foldr1 :: (a -> a -> a) -> IntMap a -> a Source # foldl1 :: (a -> a -> a) -> IntMap a -> a Source # toList :: IntMap a -> [a] Source # null :: IntMap a -> Bool Source # length :: IntMap a -> Int Source # elem :: Eq a => a -> IntMap a -> Bool Source # maximum :: Ord a => IntMap a -> a Source # minimum :: Ord a => IntMap a -> a Source # | |
| Foldable Digit | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => Digit m -> m Source # foldMap :: Monoid m => (a -> m) -> Digit a -> m Source # foldMap' :: Monoid m => (a -> m) -> Digit a -> m Source # foldr :: (a -> b -> b) -> b -> Digit a -> b Source # foldr' :: (a -> b -> b) -> b -> Digit a -> b Source # foldl :: (b -> a -> b) -> b -> Digit a -> b Source # foldl' :: (b -> a -> b) -> b -> Digit a -> b Source # foldr1 :: (a -> a -> a) -> Digit a -> a Source # foldl1 :: (a -> a -> a) -> Digit a -> a Source # toList :: Digit a -> [a] Source # null :: Digit a -> Bool Source # length :: Digit a -> Int Source # elem :: Eq a => a -> Digit a -> Bool Source # maximum :: Ord a => Digit a -> a Source # minimum :: Ord a => Digit a -> a Source # | |
| Foldable Elem | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => Elem m -> m Source # foldMap :: Monoid m => (a -> m) -> Elem a -> m Source # foldMap' :: Monoid m => (a -> m) -> Elem a -> m Source # foldr :: (a -> b -> b) -> b -> Elem a -> b Source # foldr' :: (a -> b -> b) -> b -> Elem a -> b Source # foldl :: (b -> a -> b) -> b -> Elem a -> b Source # foldl' :: (b -> a -> b) -> b -> Elem a -> b Source # foldr1 :: (a -> a -> a) -> Elem a -> a Source # foldl1 :: (a -> a -> a) -> Elem a -> a Source # toList :: Elem a -> [a] Source # null :: Elem a -> Bool Source # length :: Elem a -> Int Source # elem :: Eq a => a -> Elem a -> Bool Source # maximum :: Ord a => Elem a -> a Source # minimum :: Ord a => Elem a -> a Source # | |
| Foldable FingerTree | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => FingerTree m -> m Source # foldMap :: Monoid m => (a -> m) -> FingerTree a -> m Source # foldMap' :: Monoid m => (a -> m) -> FingerTree a -> m Source # foldr :: (a -> b -> b) -> b -> FingerTree a -> b Source # foldr' :: (a -> b -> b) -> b -> FingerTree a -> b Source # foldl :: (b -> a -> b) -> b -> FingerTree a -> b Source # foldl' :: (b -> a -> b) -> b -> FingerTree a -> b Source # foldr1 :: (a -> a -> a) -> FingerTree a -> a Source # foldl1 :: (a -> a -> a) -> FingerTree a -> a Source # toList :: FingerTree a -> [a] Source # null :: FingerTree a -> Bool Source # length :: FingerTree a -> Int Source # elem :: Eq a => a -> FingerTree a -> Bool Source # maximum :: Ord a => FingerTree a -> a Source # minimum :: Ord a => FingerTree a -> a Source # sum :: Num a => FingerTree a -> a Source # product :: Num a => FingerTree a -> a Source # | |
| Foldable Node | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => Node m -> m Source # foldMap :: Monoid m => (a -> m) -> Node a -> m Source # foldMap' :: Monoid m => (a -> m) -> Node a -> m Source # foldr :: (a -> b -> b) -> b -> Node a -> b Source # foldr' :: (a -> b -> b) -> b -> Node a -> b Source # foldl :: (b -> a -> b) -> b -> Node a -> b Source # foldl' :: (b -> a -> b) -> b -> Node a -> b Source # foldr1 :: (a -> a -> a) -> Node a -> a Source # foldl1 :: (a -> a -> a) -> Node a -> a Source # toList :: Node a -> [a] Source # null :: Node a -> Bool Source # length :: Node a -> Int Source # elem :: Eq a => a -> Node a -> Bool Source # maximum :: Ord a => Node a -> a Source # minimum :: Ord a => Node a -> a Source # | |
| Foldable Seq | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => Seq m -> m Source # foldMap :: Monoid m => (a -> m) -> Seq a -> m Source # foldMap' :: Monoid m => (a -> m) -> Seq a -> m Source # foldr :: (a -> b -> b) -> b -> Seq a -> b Source # foldr' :: (a -> b -> b) -> b -> Seq a -> b Source # foldl :: (b -> a -> b) -> b -> Seq a -> b Source # foldl' :: (b -> a -> b) -> b -> Seq a -> b Source # foldr1 :: (a -> a -> a) -> Seq a -> a Source # foldl1 :: (a -> a -> a) -> Seq a -> a Source # toList :: Seq a -> [a] Source # null :: Seq a -> Bool Source # length :: Seq a -> Int Source # elem :: Eq a => a -> Seq a -> Bool Source # maximum :: Ord a => Seq a -> a Source # minimum :: Ord a => Seq a -> a Source # | |
| Foldable ViewL | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => ViewL m -> m Source # foldMap :: Monoid m => (a -> m) -> ViewL a -> m Source # foldMap' :: Monoid m => (a -> m) -> ViewL a -> m Source # foldr :: (a -> b -> b) -> b -> ViewL a -> b Source # foldr' :: (a -> b -> b) -> b -> ViewL a -> b Source # foldl :: (b -> a -> b) -> b -> ViewL a -> b Source # foldl' :: (b -> a -> b) -> b -> ViewL a -> b Source # foldr1 :: (a -> a -> a) -> ViewL a -> a Source # foldl1 :: (a -> a -> a) -> ViewL a -> a Source # toList :: ViewL a -> [a] Source # null :: ViewL a -> Bool Source # length :: ViewL a -> Int Source # elem :: Eq a => a -> ViewL a -> Bool Source # maximum :: Ord a => ViewL a -> a Source # minimum :: Ord a => ViewL a -> a Source # | |
| Foldable ViewR | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => ViewR m -> m Source # foldMap :: Monoid m => (a -> m) -> ViewR a -> m Source # foldMap' :: Monoid m => (a -> m) -> ViewR a -> m Source # foldr :: (a -> b -> b) -> b -> ViewR a -> b Source # foldr' :: (a -> b -> b) -> b -> ViewR a -> b Source # foldl :: (b -> a -> b) -> b -> ViewR a -> b Source # foldl' :: (b -> a -> b) -> b -> ViewR a -> b Source # foldr1 :: (a -> a -> a) -> ViewR a -> a Source # foldl1 :: (a -> a -> a) -> ViewR a -> a Source # toList :: ViewR a -> [a] Source # null :: ViewR a -> Bool Source # length :: ViewR a -> Int Source # elem :: Eq a => a -> ViewR a -> Bool Source # maximum :: Ord a => ViewR a -> a Source # minimum :: Ord a => ViewR a -> a Source # | |
| Foldable Set | Folds in order of increasing key. |
Defined in Data.Set.Internal Methods fold :: Monoid m => Set m -> m Source # foldMap :: Monoid m => (a -> m) -> Set a -> m Source # foldMap' :: Monoid m => (a -> m) -> Set a -> m Source # foldr :: (a -> b -> b) -> b -> Set a -> b Source # foldr' :: (a -> b -> b) -> b -> Set a -> b Source # foldl :: (b -> a -> b) -> b -> Set a -> b Source # foldl' :: (b -> a -> b) -> b -> Set a -> b Source # foldr1 :: (a -> a -> a) -> Set a -> a Source # foldl1 :: (a -> a -> a) -> Set a -> a Source # toList :: Set a -> [a] Source # null :: Set a -> Bool Source # length :: Set a -> Int Source # elem :: Eq a => a -> Set a -> Bool Source # maximum :: Ord a => Set a -> a Source # minimum :: Ord a => Set a -> a Source # | |
| Foldable Tree | |
Defined in Data.Tree Methods fold :: Monoid m => Tree m -> m Source # foldMap :: Monoid m => (a -> m) -> Tree a -> m Source # foldMap' :: Monoid m => (a -> m) -> Tree a -> m Source # foldr :: (a -> b -> b) -> b -> Tree a -> b Source # foldr' :: (a -> b -> b) -> b -> Tree a -> b Source # foldl :: (b -> a -> b) -> b -> Tree a -> b Source # foldl' :: (b -> a -> b) -> b -> Tree a -> b Source # foldr1 :: (a -> a -> a) -> Tree a -> a Source # foldl1 :: (a -> a -> a) -> Tree a -> a Source # toList :: Tree a -> [a] Source # null :: Tree a -> Bool Source # length :: Tree a -> Int Source # elem :: Eq a => a -> Tree a -> Bool Source # maximum :: Ord a => Tree a -> a Source # minimum :: Ord a => Tree a -> a Source # | |
| Foldable DList | |
Defined in Data.DList.Internal Methods fold :: Monoid m => DList m -> m Source # foldMap :: Monoid m => (a -> m) -> DList a -> m Source # foldMap' :: Monoid m => (a -> m) -> DList a -> m Source # foldr :: (a -> b -> b) -> b -> DList a -> b Source # foldr' :: (a -> b -> b) -> b -> DList a -> b Source # foldl :: (b -> a -> b) -> b -> DList a -> b Source # foldl' :: (b -> a -> b) -> b -> DList a -> b Source # foldr1 :: (a -> a -> a) -> DList a -> a Source # foldl1 :: (a -> a -> a) -> DList a -> a Source # toList :: DList a -> [a] Source # null :: DList a -> Bool Source # length :: DList a -> Int Source # elem :: Eq a => a -> DList a -> Bool Source # maximum :: Ord a => DList a -> a Source # minimum :: Ord a => DList a -> a Source # | |
| Foldable Hashed | |
Defined in Data.Hashable.Class Methods fold :: Monoid m => Hashed m -> m Source # foldMap :: Monoid m => (a -> m) -> Hashed a -> m Source # foldMap' :: Monoid m => (a -> m) -> Hashed a -> m Source # foldr :: (a -> b -> b) -> b -> Hashed a -> b Source # foldr' :: (a -> b -> b) -> b -> Hashed a -> b Source # foldl :: (b -> a -> b) -> b -> Hashed a -> b Source # foldl' :: (b -> a -> b) -> b -> Hashed a -> b Source # foldr1 :: (a -> a -> a) -> Hashed a -> a Source # foldl1 :: (a -> a -> a) -> Hashed a -> a Source # toList :: Hashed a -> [a] Source # null :: Hashed a -> Bool Source # length :: Hashed a -> Int Source # elem :: Eq a => a -> Hashed a -> Bool Source # maximum :: Ord a => Hashed a -> a Source # minimum :: Ord a => Hashed a -> a Source # | |
| Foldable Array | |
Defined in Data.Primitive.Array Methods fold :: Monoid m => Array m -> m Source # foldMap :: Monoid m => (a -> m) -> Array a -> m Source # foldMap' :: Monoid m => (a -> m) -> Array a -> m Source # foldr :: (a -> b -> b) -> b -> Array a -> b Source # foldr' :: (a -> b -> b) -> b -> Array a -> b Source # foldl :: (b -> a -> b) -> b -> Array a -> b Source # foldl' :: (b -> a -> b) -> b -> Array a -> b Source # foldr1 :: (a -> a -> a) -> Array a -> a Source # foldl1 :: (a -> a -> a) -> Array a -> a Source # toList :: Array a -> [a] Source # null :: Array a -> Bool Source # length :: Array a -> Int Source # elem :: Eq a => a -> Array a -> Bool Source # maximum :: Ord a => Array a -> a Source # minimum :: Ord a => Array a -> a Source # | |
| Foldable SmallArray | |
Defined in Data.Primitive.SmallArray Methods fold :: Monoid m => SmallArray m -> m Source # foldMap :: Monoid m => (a -> m) -> SmallArray a -> m Source # foldMap' :: Monoid m => (a -> m) -> SmallArray a -> m Source # foldr :: (a -> b -> b) -> b -> SmallArray a -> b Source # foldr' :: (a -> b -> b) -> b -> SmallArray a -> b Source # foldl :: (b -> a -> b) -> b -> SmallArray a -> b Source # foldl' :: (b -> a -> b) -> b -> SmallArray a -> b Source # foldr1 :: (a -> a -> a) -> SmallArray a -> a Source # foldl1 :: (a -> a -> a) -> SmallArray a -> a Source # toList :: SmallArray a -> [a] Source # null :: SmallArray a -> Bool Source # length :: SmallArray a -> Int Source # elem :: Eq a => a -> SmallArray a -> Bool Source # maximum :: Ord a => SmallArray a -> a Source # minimum :: Ord a => SmallArray a -> a Source # sum :: Num a => SmallArray a -> a Source # product :: Num a => SmallArray a -> a Source # | |
| Foldable HashSet | |
Defined in Data.HashSet.Internal Methods fold :: Monoid m => HashSet m -> m Source # foldMap :: Monoid m => (a -> m) -> HashSet a -> m Source # foldMap' :: Monoid m => (a -> m) -> HashSet a -> m Source # foldr :: (a -> b -> b) -> b -> HashSet a -> b Source # foldr' :: (a -> b -> b) -> b -> HashSet a -> b Source # foldl :: (b -> a -> b) -> b -> HashSet a -> b Source # foldl' :: (b -> a -> b) -> b -> HashSet a -> b Source # foldr1 :: (a -> a -> a) -> HashSet a -> a Source # foldl1 :: (a -> a -> a) -> HashSet a -> a Source # toList :: HashSet a -> [a] Source # null :: HashSet a -> Bool Source # length :: HashSet a -> Int Source # elem :: Eq a => a -> HashSet a -> Bool Source # maximum :: Ord a => HashSet a -> a Source # minimum :: Ord a => HashSet a -> a Source # | |
| Foldable Vector | |
Defined in Data.Vector Methods fold :: Monoid m => Vector m -> m Source # foldMap :: Monoid m => (a -> m) -> Vector a -> m Source # foldMap' :: Monoid m => (a -> m) -> Vector a -> m Source # foldr :: (a -> b -> b) -> b -> Vector a -> b Source # foldr' :: (a -> b -> b) -> b -> Vector a -> b Source # foldl :: (b -> a -> b) -> b -> Vector a -> b Source # foldl' :: (b -> a -> b) -> b -> Vector a -> b Source # foldr1 :: (a -> a -> a) -> Vector a -> a Source # foldl1 :: (a -> a -> a) -> Vector a -> a Source # toList :: Vector a -> [a] Source # null :: Vector a -> Bool Source # length :: Vector a -> Int Source # elem :: Eq a => a -> Vector a -> Bool Source # maximum :: Ord a => Vector a -> a Source # minimum :: Ord a => Vector a -> a Source # | |
| Foldable Maybe | Since: base-2.1 |
Defined in Data.Foldable Methods fold :: Monoid m => Maybe m -> m Source # foldMap :: Monoid m => (a -> m) -> Maybe a -> m Source # foldMap' :: Monoid m => (a -> m) -> Maybe a -> m Source # foldr :: (a -> b -> b) -> b -> Maybe a -> b Source # foldr' :: (a -> b -> b) -> b -> Maybe a -> b Source # foldl :: (b -> a -> b) -> b -> Maybe a -> b Source # foldl' :: (b -> a -> b) -> b -> Maybe a -> b Source # foldr1 :: (a -> a -> a) -> Maybe a -> a Source # foldl1 :: (a -> a -> a) -> Maybe a -> a Source # toList :: Maybe a -> [a] Source # null :: Maybe a -> Bool Source # length :: Maybe a -> Int Source # elem :: Eq a => a -> Maybe a -> Bool Source # maximum :: Ord a => Maybe a -> a Source # minimum :: Ord a => Maybe a -> a Source # | |
| Foldable Solo | Since: base-4.15 |
Defined in Data.Foldable Methods fold :: Monoid m => Solo m -> m Source # foldMap :: Monoid m => (a -> m) -> Solo a -> m Source # foldMap' :: Monoid m => (a -> m) -> Solo a -> m Source # foldr :: (a -> b -> b) -> b -> Solo a -> b Source # foldr' :: (a -> b -> b) -> b -> Solo a -> b Source # foldl :: (b -> a -> b) -> b -> Solo a -> b Source # foldl' :: (b -> a -> b) -> b -> Solo a -> b Source # foldr1 :: (a -> a -> a) -> Solo a -> a Source # foldl1 :: (a -> a -> a) -> Solo a -> a Source # toList :: Solo a -> [a] Source # null :: Solo a -> Bool Source # length :: Solo a -> Int Source # elem :: Eq a => a -> Solo a -> Bool Source # maximum :: Ord a => Solo a -> a Source # minimum :: Ord a => Solo a -> a Source # | |
| Foldable [] | Since: base-2.1 |
Defined in Data.Foldable Methods fold :: Monoid m => [m] -> m Source # foldMap :: Monoid m => (a -> m) -> [a] -> m Source # foldMap' :: Monoid m => (a -> m) -> [a] -> m Source # foldr :: (a -> b -> b) -> b -> [a] -> b Source # foldr' :: (a -> b -> b) -> b -> [a] -> b Source # foldl :: (b -> a -> b) -> b -> [a] -> b Source # foldl' :: (b -> a -> b) -> b -> [a] -> b Source # foldr1 :: (a -> a -> a) -> [a] -> a Source # foldl1 :: (a -> a -> a) -> [a] -> a Source # elem :: Eq a => a -> [a] -> Bool Source # maximum :: Ord a => [a] -> a Source # minimum :: Ord a => [a] -> a Source # | |
| Foldable (Either a) | Since: base-4.7.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Either a m -> m Source # foldMap :: Monoid m => (a0 -> m) -> Either a a0 -> m Source # foldMap' :: Monoid m => (a0 -> m) -> Either a a0 -> m Source # foldr :: (a0 -> b -> b) -> b -> Either a a0 -> b Source # foldr' :: (a0 -> b -> b) -> b -> Either a a0 -> b Source # foldl :: (b -> a0 -> b) -> b -> Either a a0 -> b Source # foldl' :: (b -> a0 -> b) -> b -> Either a a0 -> b Source # foldr1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 Source # foldl1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 Source # toList :: Either a a0 -> [a0] Source # null :: Either a a0 -> Bool Source # length :: Either a a0 -> Int Source # elem :: Eq a0 => a0 -> Either a a0 -> Bool Source # maximum :: Ord a0 => Either a a0 -> a0 Source # minimum :: Ord a0 => Either a a0 -> a0 Source # | |
| Foldable (Proxy :: Type -> Type) | Since: base-4.7.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Proxy m -> m Source # foldMap :: Monoid m => (a -> m) -> Proxy a -> m Source # foldMap' :: Monoid m => (a -> m) -> Proxy a -> m Source # foldr :: (a -> b -> b) -> b -> Proxy a -> b Source # foldr' :: (a -> b -> b) -> b -> Proxy a -> b Source # foldl :: (b -> a -> b) -> b -> Proxy a -> b Source # foldl' :: (b -> a -> b) -> b -> Proxy a -> b Source # foldr1 :: (a -> a -> a) -> Proxy a -> a Source # foldl1 :: (a -> a -> a) -> Proxy a -> a Source # toList :: Proxy a -> [a] Source # null :: Proxy a -> Bool Source # length :: Proxy a -> Int Source # elem :: Eq a => a -> Proxy a -> Bool Source # maximum :: Ord a => Proxy a -> a Source # minimum :: Ord a => Proxy a -> a Source # | |
| Foldable (Arg a) | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => Arg a m -> m Source # foldMap :: Monoid m => (a0 -> m) -> Arg a a0 -> m Source # foldMap' :: Monoid m => (a0 -> m) -> Arg a a0 -> m Source # foldr :: (a0 -> b -> b) -> b -> Arg a a0 -> b Source # foldr' :: (a0 -> b -> b) -> b -> Arg a a0 -> b Source # foldl :: (b -> a0 -> b) -> b -> Arg a a0 -> b Source # foldl' :: (b -> a0 -> b) -> b -> Arg a a0 -> b Source # foldr1 :: (a0 -> a0 -> a0) -> Arg a a0 -> a0 Source # foldl1 :: (a0 -> a0 -> a0) -> Arg a a0 -> a0 Source # toList :: Arg a a0 -> [a0] Source # null :: Arg a a0 -> Bool Source # length :: Arg a a0 -> Int Source # elem :: Eq a0 => a0 -> Arg a a0 -> Bool Source # maximum :: Ord a0 => Arg a a0 -> a0 Source # minimum :: Ord a0 => Arg a a0 -> a0 Source # | |
| Foldable (Array i) | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Array i m -> m Source # foldMap :: Monoid m => (a -> m) -> Array i a -> m Source # foldMap' :: Monoid m => (a -> m) -> Array i a -> m Source # foldr :: (a -> b -> b) -> b -> Array i a -> b Source # foldr' :: (a -> b -> b) -> b -> Array i a -> b Source # foldl :: (b -> a -> b) -> b -> Array i a -> b Source # foldl' :: (b -> a -> b) -> b -> Array i a -> b Source # foldr1 :: (a -> a -> a) -> Array i a -> a Source # foldl1 :: (a -> a -> a) -> Array i a -> a Source # toList :: Array i a -> [a] Source # null :: Array i a -> Bool Source # length :: Array i a -> Int Source # elem :: Eq a => a -> Array i a -> Bool Source # maximum :: Ord a => Array i a -> a Source # minimum :: Ord a => Array i a -> a Source # | |
| Foldable (U1 :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => U1 m -> m Source # foldMap :: Monoid m => (a -> m) -> U1 a -> m Source # foldMap' :: Monoid m => (a -> m) -> U1 a -> m Source # foldr :: (a -> b -> b) -> b -> U1 a -> b Source # foldr' :: (a -> b -> b) -> b -> U1 a -> b Source # foldl :: (b -> a -> b) -> b -> U1 a -> b Source # foldl' :: (b -> a -> b) -> b -> U1 a -> b Source # foldr1 :: (a -> a -> a) -> U1 a -> a Source # foldl1 :: (a -> a -> a) -> U1 a -> a Source # toList :: U1 a -> [a] Source # length :: U1 a -> Int Source # elem :: Eq a => a -> U1 a -> Bool Source # maximum :: Ord a => U1 a -> a Source # minimum :: Ord a => U1 a -> a Source # | |
| Foldable (UAddr :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => UAddr m -> m Source # foldMap :: Monoid m => (a -> m) -> UAddr a -> m Source # foldMap' :: Monoid m => (a -> m) -> UAddr a -> m Source # foldr :: (a -> b -> b) -> b -> UAddr a -> b Source # foldr' :: (a -> b -> b) -> b -> UAddr a -> b Source # foldl :: (b -> a -> b) -> b -> UAddr a -> b Source # foldl' :: (b -> a -> b) -> b -> UAddr a -> b Source # foldr1 :: (a -> a -> a) -> UAddr a -> a Source # foldl1 :: (a -> a -> a) -> UAddr a -> a Source # toList :: UAddr a -> [a] Source # null :: UAddr a -> Bool Source # length :: UAddr a -> Int Source # elem :: Eq a => a -> UAddr a -> Bool Source # maximum :: Ord a => UAddr a -> a Source # minimum :: Ord a => UAddr a -> a Source # | |
| Foldable (UChar :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => UChar m -> m Source # foldMap :: Monoid m => (a -> m) -> UChar a -> m Source # foldMap' :: Monoid m => (a -> m) -> UChar a -> m Source # foldr :: (a -> b -> b) -> b -> UChar a -> b Source # foldr' :: (a -> b -> b) -> b -> UChar a -> b Source # foldl :: (b -> a -> b) -> b -> UChar a -> b Source # foldl' :: (b -> a -> b) -> b -> UChar a -> b Source # foldr1 :: (a -> a -> a) -> UChar a -> a Source # foldl1 :: (a -> a -> a) -> UChar a -> a Source # toList :: UChar a -> [a] Source # null :: UChar a -> Bool Source # length :: UChar a -> Int Source # elem :: Eq a => a -> UChar a -> Bool Source # maximum :: Ord a => UChar a -> a Source # minimum :: Ord a => UChar a -> a Source # | |
| Foldable (UDouble :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => UDouble m -> m Source # foldMap :: Monoid m => (a -> m) -> UDouble a -> m Source # foldMap' :: Monoid m => (a -> m) -> UDouble a -> m Source # foldr :: (a -> b -> b) -> b -> UDouble a -> b Source # foldr' :: (a -> b -> b) -> b -> UDouble a -> b Source # foldl :: (b -> a -> b) -> b -> UDouble a -> b Source # foldl' :: (b -> a -> b) -> b -> UDouble a -> b Source # foldr1 :: (a -> a -> a) -> UDouble a -> a Source # foldl1 :: (a -> a -> a) -> UDouble a -> a Source # toList :: UDouble a -> [a] Source # null :: UDouble a -> Bool Source # length :: UDouble a -> Int Source # elem :: Eq a => a -> UDouble a -> Bool Source # maximum :: Ord a => UDouble a -> a Source # minimum :: Ord a => UDouble a -> a Source # | |
| Foldable (UFloat :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => UFloat m -> m Source # foldMap :: Monoid m => (a -> m) -> UFloat a -> m Source # foldMap' :: Monoid m => (a -> m) -> UFloat a -> m Source # foldr :: (a -> b -> b) -> b -> UFloat a -> b Source # foldr' :: (a -> b -> b) -> b -> UFloat a -> b Source # foldl :: (b -> a -> b) -> b -> UFloat a -> b Source # foldl' :: (b -> a -> b) -> b -> UFloat a -> b Source # foldr1 :: (a -> a -> a) -> UFloat a -> a Source # foldl1 :: (a -> a -> a) -> UFloat a -> a Source # toList :: UFloat a -> [a] Source # null :: UFloat a -> Bool Source # length :: UFloat a -> Int Source # elem :: Eq a => a -> UFloat a -> Bool Source # maximum :: Ord a => UFloat a -> a Source # minimum :: Ord a => UFloat a -> a Source # | |
| Foldable (UInt :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => UInt m -> m Source # foldMap :: Monoid m => (a -> m) -> UInt a -> m Source # foldMap' :: Monoid m => (a -> m) -> UInt a -> m Source # foldr :: (a -> b -> b) -> b -> UInt a -> b Source # foldr' :: (a -> b -> b) -> b -> UInt a -> b Source # foldl :: (b -> a -> b) -> b -> UInt a -> b Source # foldl' :: (b -> a -> b) -> b -> UInt a -> b Source # foldr1 :: (a -> a -> a) -> UInt a -> a Source # foldl1 :: (a -> a -> a) -> UInt a -> a Source # toList :: UInt a -> [a] Source # null :: UInt a -> Bool Source # length :: UInt a -> Int Source # elem :: Eq a => a -> UInt a -> Bool Source # maximum :: Ord a => UInt a -> a Source # minimum :: Ord a => UInt a -> a Source # | |
| Foldable (UWord :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => UWord m -> m Source # foldMap :: Monoid m => (a -> m) -> UWord a -> m Source # foldMap' :: Monoid m => (a -> m) -> UWord a -> m Source # foldr :: (a -> b -> b) -> b -> UWord a -> b Source # foldr' :: (a -> b -> b) -> b -> UWord a -> b Source # foldl :: (b -> a -> b) -> b -> UWord a -> b Source # foldl' :: (b -> a -> b) -> b -> UWord a -> b Source # foldr1 :: (a -> a -> a) -> UWord a -> a Source # foldl1 :: (a -> a -> a) -> UWord a -> a Source # toList :: UWord a -> [a] Source # null :: UWord a -> Bool Source # length :: UWord a -> Int Source # elem :: Eq a => a -> UWord a -> Bool Source # maximum :: Ord a => UWord a -> a Source # minimum :: Ord a => UWord a -> a Source # | |
| Foldable (V1 :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => V1 m -> m Source # foldMap :: Monoid m => (a -> m) -> V1 a -> m Source # foldMap' :: Monoid m => (a -> m) -> V1 a -> m Source # foldr :: (a -> b -> b) -> b -> V1 a -> b Source # foldr' :: (a -> b -> b) -> b -> V1 a -> b Source # foldl :: (b -> a -> b) -> b -> V1 a -> b Source # foldl' :: (b -> a -> b) -> b -> V1 a -> b Source # foldr1 :: (a -> a -> a) -> V1 a -> a Source # foldl1 :: (a -> a -> a) -> V1 a -> a Source # toList :: V1 a -> [a] Source # length :: V1 a -> Int Source # elem :: Eq a => a -> V1 a -> Bool Source # maximum :: Ord a => V1 a -> a Source # minimum :: Ord a => V1 a -> a Source # | |
| Foldable (Map k) | Folds in order of increasing key. |
Defined in Data.Map.Internal Methods fold :: Monoid m => Map k m -> m Source # foldMap :: Monoid m => (a -> m) -> Map k a -> m Source # foldMap' :: Monoid m => (a -> m) -> Map k a -> m Source # foldr :: (a -> b -> b) -> b -> Map k a -> b Source # foldr' :: (a -> b -> b) -> b -> Map k a -> b Source # foldl :: (b -> a -> b) -> b -> Map k a -> b Source # foldl' :: (b -> a -> b) -> b -> Map k a -> b Source # foldr1 :: (a -> a -> a) -> Map k a -> a Source # foldl1 :: (a -> a -> a) -> Map k a -> a Source # toList :: Map k a -> [a] Source # null :: Map k a -> Bool Source # length :: Map k a -> Int Source # elem :: Eq a => a -> Map k a -> Bool Source # maximum :: Ord a => Map k a -> a Source # minimum :: Ord a => Map k a -> a Source # | |
| Foldable f => Foldable (Cofree f) | |
Defined in Control.Comonad.Cofree Methods fold :: Monoid m => Cofree f m -> m Source # foldMap :: Monoid m => (a -> m) -> Cofree f a -> m Source # foldMap' :: Monoid m => (a -> m) -> Cofree f a -> m Source # foldr :: (a -> b -> b) -> b -> Cofree f a -> b Source # foldr' :: (a -> b -> b) -> b -> Cofree f a -> b Source # foldl :: (b -> a -> b) -> b -> Cofree f a -> b Source # foldl' :: (b -> a -> b) -> b -> Cofree f a -> b Source # foldr1 :: (a -> a -> a) -> Cofree f a -> a Source # foldl1 :: (a -> a -> a) -> Cofree f a -> a Source # toList :: Cofree f a -> [a] Source # null :: Cofree f a -> Bool Source # length :: Cofree f a -> Int Source # elem :: Eq a => a -> Cofree f a -> Bool Source # maximum :: Ord a => Cofree f a -> a Source # minimum :: Ord a => Cofree f a -> a Source # | |
| Foldable f => Foldable (Free f) | |
Defined in Control.Monad.Free Methods fold :: Monoid m => Free f m -> m Source # foldMap :: Monoid m => (a -> m) -> Free f a -> m Source # foldMap' :: Monoid m => (a -> m) -> Free f a -> m Source # foldr :: (a -> b -> b) -> b -> Free f a -> b Source # foldr' :: (a -> b -> b) -> b -> Free f a -> b Source # foldl :: (b -> a -> b) -> b -> Free f a -> b Source # foldl' :: (b -> a -> b) -> b -> Free f a -> b Source # foldr1 :: (a -> a -> a) -> Free f a -> a Source # foldl1 :: (a -> a -> a) -> Free f a -> a Source # toList :: Free f a -> [a] Source # null :: Free f a -> Bool Source # length :: Free f a -> Int Source # elem :: Eq a => a -> Free f a -> Bool Source # maximum :: Ord a => Free f a -> a Source # minimum :: Ord a => Free f a -> a Source # | |
| MonoFoldable mono => Foldable (WrappedMono mono) | |
Defined in Data.MonoTraversable Methods fold :: Monoid m => WrappedMono mono m -> m Source # foldMap :: Monoid m => (a -> m) -> WrappedMono mono a -> m Source # foldMap' :: Monoid m => (a -> m) -> WrappedMono mono a -> m Source # foldr :: (a -> b -> b) -> b -> WrappedMono mono a -> b Source # foldr' :: (a -> b -> b) -> b -> WrappedMono mono a -> b Source # foldl :: (b -> a -> b) -> b -> WrappedMono mono a -> b Source # foldl' :: (b -> a -> b) -> b -> WrappedMono mono a -> b Source # foldr1 :: (a -> a -> a) -> WrappedMono mono a -> a Source # foldl1 :: (a -> a -> a) -> WrappedMono mono a -> a Source # toList :: WrappedMono mono a -> [a] Source # null :: WrappedMono mono a -> Bool Source # length :: WrappedMono mono a -> Int Source # elem :: Eq a => a -> WrappedMono mono a -> Bool Source # maximum :: Ord a => WrappedMono mono a -> a Source # minimum :: Ord a => WrappedMono mono a -> a Source # sum :: Num a => WrappedMono mono a -> a Source # product :: Num a => WrappedMono mono a -> a Source # | |
| Foldable f => Foldable (WrappedPoly f) | |
Defined in Data.MonoTraversable Methods fold :: Monoid m => WrappedPoly f m -> m Source # foldMap :: Monoid m => (a -> m) -> WrappedPoly f a -> m Source # foldMap' :: Monoid m => (a -> m) -> WrappedPoly f a -> m Source # foldr :: (a -> b -> b) -> b -> WrappedPoly f a -> b Source # foldr' :: (a -> b -> b) -> b -> WrappedPoly f a -> b Source # foldl :: (b -> a -> b) -> b -> WrappedPoly f a -> b Source # foldl' :: (b -> a -> b) -> b -> WrappedPoly f a -> b Source # foldr1 :: (a -> a -> a) -> WrappedPoly f a -> a Source # foldl1 :: (a -> a -> a) -> WrappedPoly f a -> a Source # toList :: WrappedPoly f a -> [a] Source # null :: WrappedPoly f a -> Bool Source # length :: WrappedPoly f a -> Int Source # elem :: Eq a => a -> WrappedPoly f a -> Bool Source # maximum :: Ord a => WrappedPoly f a -> a Source # minimum :: Ord a => WrappedPoly f a -> a Source # sum :: Num a => WrappedPoly f a -> a Source # product :: Num a => WrappedPoly f a -> a Source # | |
| Foldable f => Foldable (ListT f) | |
Defined in Control.Monad.Trans.List Methods fold :: Monoid m => ListT f m -> m Source # foldMap :: Monoid m => (a -> m) -> ListT f a -> m Source # foldMap' :: Monoid m => (a -> m) -> ListT f a -> m Source # foldr :: (a -> b -> b) -> b -> ListT f a -> b Source # foldr' :: (a -> b -> b) -> b -> ListT f a -> b Source # foldl :: (b -> a -> b) -> b -> ListT f a -> b Source # foldl' :: (b -> a -> b) -> b -> ListT f a -> b Source # foldr1 :: (a -> a -> a) -> ListT f a -> a Source # foldl1 :: (a -> a -> a) -> ListT f a -> a Source # toList :: ListT f a -> [a] Source # null :: ListT f a -> Bool Source # length :: ListT f a -> Int Source # elem :: Eq a => a -> ListT f a -> Bool Source # maximum :: Ord a => ListT f a -> a Source # minimum :: Ord a => ListT f a -> a Source # | |
| Foldable f => Foldable (MaybeT f) | |
Defined in Control.Monad.Trans.Maybe Methods fold :: Monoid m => MaybeT f m -> m Source # foldMap :: Monoid m => (a -> m) -> MaybeT f a -> m Source # foldMap' :: Monoid m => (a -> m) -> MaybeT f a -> m Source # foldr :: (a -> b -> b) -> b -> MaybeT f a -> b Source # foldr' :: (a -> b -> b) -> b -> MaybeT f a -> b Source # foldl :: (b -> a -> b) -> b -> MaybeT f a -> b Source # foldl' :: (b -> a -> b) -> b -> MaybeT f a -> b Source # foldr1 :: (a -> a -> a) -> MaybeT f a -> a Source # foldl1 :: (a -> a -> a) -> MaybeT f a -> a Source # toList :: MaybeT f a -> [a] Source # null :: MaybeT f a -> Bool Source # length :: MaybeT f a -> Int Source # elem :: Eq a => a -> MaybeT f a -> Bool Source # maximum :: Ord a => MaybeT f a -> a Source # minimum :: Ord a => MaybeT f a -> a Source # | |
| Foldable (HashMap k) | |
Defined in Data.HashMap.Internal Methods fold :: Monoid m => HashMap k m -> m Source # foldMap :: Monoid m => (a -> m) -> HashMap k a -> m Source # foldMap' :: Monoid m => (a -> m) -> HashMap k a -> m Source # foldr :: (a -> b -> b) -> b -> HashMap k a -> b Source # foldr' :: (a -> b -> b) -> b -> HashMap k a -> b Source # foldl :: (b -> a -> b) -> b -> HashMap k a -> b Source # foldl' :: (b -> a -> b) -> b -> HashMap k a -> b Source # foldr1 :: (a -> a -> a) -> HashMap k a -> a Source # foldl1 :: (a -> a -> a) -> HashMap k a -> a Source # toList :: HashMap k a -> [a] Source # null :: HashMap k a -> Bool Source # length :: HashMap k a -> Int Source # elem :: Eq a => a -> HashMap k a -> Bool Source # maximum :: Ord a => HashMap k a -> a Source # minimum :: Ord a => HashMap k a -> a Source # | |
| Foldable ((,) a) | Since: base-4.7.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => (a, m) -> m Source # foldMap :: Monoid m => (a0 -> m) -> (a, a0) -> m Source # foldMap' :: Monoid m => (a0 -> m) -> (a, a0) -> m Source # foldr :: (a0 -> b -> b) -> b -> (a, a0) -> b Source # foldr' :: (a0 -> b -> b) -> b -> (a, a0) -> b Source # foldl :: (b -> a0 -> b) -> b -> (a, a0) -> b Source # foldl' :: (b -> a0 -> b) -> b -> (a, a0) -> b Source # foldr1 :: (a0 -> a0 -> a0) -> (a, a0) -> a0 Source # foldl1 :: (a0 -> a0 -> a0) -> (a, a0) -> a0 Source # toList :: (a, a0) -> [a0] Source # null :: (a, a0) -> Bool Source # length :: (a, a0) -> Int Source # elem :: Eq a0 => a0 -> (a, a0) -> Bool Source # maximum :: Ord a0 => (a, a0) -> a0 Source # minimum :: Ord a0 => (a, a0) -> a0 Source # | |
| Foldable (Const m :: Type -> Type) | Since: base-4.7.0.0 |
Defined in Data.Functor.Const Methods fold :: Monoid m0 => Const m m0 -> m0 Source # foldMap :: Monoid m0 => (a -> m0) -> Const m a -> m0 Source # foldMap' :: Monoid m0 => (a -> m0) -> Const m a -> m0 Source # foldr :: (a -> b -> b) -> b -> Const m a -> b Source # foldr' :: (a -> b -> b) -> b -> Const m a -> b Source # foldl :: (b -> a -> b) -> b -> Const m a -> b Source # foldl' :: (b -> a -> b) -> b -> Const m a -> b Source # foldr1 :: (a -> a -> a) -> Const m a -> a Source # foldl1 :: (a -> a -> a) -> Const m a -> a Source # toList :: Const m a -> [a] Source # null :: Const m a -> Bool Source # length :: Const m a -> Int Source # elem :: Eq a => a -> Const m a -> Bool Source # maximum :: Ord a => Const m a -> a Source # minimum :: Ord a => Const m a -> a Source # | |
| Foldable f => Foldable (Ap f) | Since: base-4.12.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Ap f m -> m Source # foldMap :: Monoid m => (a -> m) -> Ap f a -> m Source # foldMap' :: Monoid m => (a -> m) -> Ap f a -> m Source # foldr :: (a -> b -> b) -> b -> Ap f a -> b Source # foldr' :: (a -> b -> b) -> b -> Ap f a -> b Source # foldl :: (b -> a -> b) -> b -> Ap f a -> b Source # foldl' :: (b -> a -> b) -> b -> Ap f a -> b Source # foldr1 :: (a -> a -> a) -> Ap f a -> a Source # foldl1 :: (a -> a -> a) -> Ap f a -> a Source # toList :: Ap f a -> [a] Source # null :: Ap f a -> Bool Source # length :: Ap f a -> Int Source # elem :: Eq a => a -> Ap f a -> Bool Source # maximum :: Ord a => Ap f a -> a Source # minimum :: Ord a => Ap f a -> a Source # | |
| Foldable f => Foldable (Alt f) | Since: base-4.12.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Alt f m -> m Source # foldMap :: Monoid m => (a -> m) -> Alt f a -> m Source # foldMap' :: Monoid m => (a -> m) -> Alt f a -> m Source # foldr :: (a -> b -> b) -> b -> Alt f a -> b Source # foldr' :: (a -> b -> b) -> b -> Alt f a -> b Source # foldl :: (b -> a -> b) -> b -> Alt f a -> b Source # foldl' :: (b -> a -> b) -> b -> Alt f a -> b Source # foldr1 :: (a -> a -> a) -> Alt f a -> a Source # foldl1 :: (a -> a -> a) -> Alt f a -> a Source # toList :: Alt f a -> [a] Source # null :: Alt f a -> Bool Source # length :: Alt f a -> Int Source # elem :: Eq a => a -> Alt f a -> Bool Source # maximum :: Ord a => Alt f a -> a Source # minimum :: Ord a => Alt f a -> a Source # | |
| Foldable f => Foldable (Rec1 f) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Rec1 f m -> m Source # foldMap :: Monoid m => (a -> m) -> Rec1 f a -> m Source # foldMap' :: Monoid m => (a -> m) -> Rec1 f a -> m Source # foldr :: (a -> b -> b) -> b -> Rec1 f a -> b Source # foldr' :: (a -> b -> b) -> b -> Rec1 f a -> b Source # foldl :: (b -> a -> b) -> b -> Rec1 f a -> b Source # foldl' :: (b -> a -> b) -> b -> Rec1 f a -> b Source # foldr1 :: (a -> a -> a) -> Rec1 f a -> a Source # foldl1 :: (a -> a -> a) -> Rec1 f a -> a Source # toList :: Rec1 f a -> [a] Source # null :: Rec1 f a -> Bool Source # length :: Rec1 f a -> Int Source # elem :: Eq a => a -> Rec1 f a -> Bool Source # maximum :: Ord a => Rec1 f a -> a Source # minimum :: Ord a => Rec1 f a -> a Source # | |
| Bifoldable p => Foldable (Join p) | |
Defined in Data.Bifunctor.Join Methods fold :: Monoid m => Join p m -> m Source # foldMap :: Monoid m => (a -> m) -> Join p a -> m Source # foldMap' :: Monoid m => (a -> m) -> Join p a -> m Source # foldr :: (a -> b -> b) -> b -> Join p a -> b Source # foldr' :: (a -> b -> b) -> b -> Join p a -> b Source # foldl :: (b -> a -> b) -> b -> Join p a -> b Source # foldl' :: (b -> a -> b) -> b -> Join p a -> b Source # foldr1 :: (a -> a -> a) -> Join p a -> a Source # foldl1 :: (a -> a -> a) -> Join p a -> a Source # toList :: Join p a -> [a] Source # null :: Join p a -> Bool Source # length :: Join p a -> Int Source # elem :: Eq a => a -> Join p a -> Bool Source # maximum :: Ord a => Join p a -> a Source # minimum :: Ord a => Join p a -> a Source # | |
| Foldable w => Foldable (EnvT e w) | |
Defined in Control.Comonad.Trans.Env Methods fold :: Monoid m => EnvT e w m -> m Source # foldMap :: Monoid m => (a -> m) -> EnvT e w a -> m Source # foldMap' :: Monoid m => (a -> m) -> EnvT e w a -> m Source # foldr :: (a -> b -> b) -> b -> EnvT e w a -> b Source # foldr' :: (a -> b -> b) -> b -> EnvT e w a -> b Source # foldl :: (b -> a -> b) -> b -> EnvT e w a -> b Source # foldl' :: (b -> a -> b) -> b -> EnvT e w a -> b Source # foldr1 :: (a -> a -> a) -> EnvT e w a -> a Source # foldl1 :: (a -> a -> a) -> EnvT e w a -> a Source # toList :: EnvT e w a -> [a] Source # null :: EnvT e w a -> Bool Source # length :: EnvT e w a -> Int Source # elem :: Eq a => a -> EnvT e w a -> Bool Source # maximum :: Ord a => EnvT e w a -> a Source # minimum :: Ord a => EnvT e w a -> a Source # | |
| Foldable f => Foldable (FreeF f a) | |
Defined in Control.Monad.Trans.Free Methods fold :: Monoid m => FreeF f a m -> m Source # foldMap :: Monoid m => (a0 -> m) -> FreeF f a a0 -> m Source # foldMap' :: Monoid m => (a0 -> m) -> FreeF f a a0 -> m Source # foldr :: (a0 -> b -> b) -> b -> FreeF f a a0 -> b Source # foldr' :: (a0 -> b -> b) -> b -> FreeF f a a0 -> b Source # foldl :: (b -> a0 -> b) -> b -> FreeF f a a0 -> b Source # foldl' :: (b -> a0 -> b) -> b -> FreeF f a a0 -> b Source # foldr1 :: (a0 -> a0 -> a0) -> FreeF f a a0 -> a0 Source # foldl1 :: (a0 -> a0 -> a0) -> FreeF f a a0 -> a0 Source # toList :: FreeF f a a0 -> [a0] Source # null :: FreeF f a a0 -> Bool Source # length :: FreeF f a a0 -> Int Source # elem :: Eq a0 => a0 -> FreeF f a a0 -> Bool Source # maximum :: Ord a0 => FreeF f a a0 -> a0 Source # minimum :: Ord a0 => FreeF f a a0 -> a0 Source # | |
| (Foldable m, Foldable f) => Foldable (FreeT f m) | |
Defined in Control.Monad.Trans.Free Methods fold :: Monoid m0 => FreeT f m m0 -> m0 Source # foldMap :: Monoid m0 => (a -> m0) -> FreeT f m a -> m0 Source # foldMap' :: Monoid m0 => (a -> m0) -> FreeT f m a -> m0 Source # foldr :: (a -> b -> b) -> b -> FreeT f m a -> b Source # foldr' :: (a -> b -> b) -> b -> FreeT f m a -> b Source # foldl :: (b -> a -> b) -> b -> FreeT f m a -> b Source # foldl' :: (b -> a -> b) -> b -> FreeT f m a -> b Source # foldr1 :: (a -> a -> a) -> FreeT f m a -> a Source # foldl1 :: (a -> a -> a) -> FreeT f m a -> a Source # toList :: FreeT f m a -> [a] Source # null :: FreeT f m a -> Bool Source # length :: FreeT f m a -> Int Source # elem :: Eq a => a -> FreeT f m a -> Bool Source # maximum :: Ord a => FreeT f m a -> a Source # minimum :: Ord a => FreeT f m a -> a Source # | |
| Foldable (Tagged s) | |
Defined in Data.Tagged Methods fold :: Monoid m => Tagged s m -> m Source # foldMap :: Monoid m => (a -> m) -> Tagged s a -> m Source # foldMap' :: Monoid m => (a -> m) -> Tagged s a -> m Source # foldr :: (a -> b -> b) -> b -> Tagged s a -> b Source # foldr' :: (a -> b -> b) -> b -> Tagged s a -> b Source # foldl :: (b -> a -> b) -> b -> Tagged s a -> b Source # foldl' :: (b -> a -> b) -> b -> Tagged s a -> b Source # foldr1 :: (a -> a -> a) -> Tagged s a -> a Source # foldl1 :: (a -> a -> a) -> Tagged s a -> a Source # toList :: Tagged s a -> [a] Source # null :: Tagged s a -> Bool Source # length :: Tagged s a -> Int Source # elem :: Eq a => a -> Tagged s a -> Bool Source # maximum :: Ord a => Tagged s a -> a Source # minimum :: Ord a => Tagged s a -> a Source # | |
| Foldable f => Foldable (ErrorT e f) | |
Defined in Control.Monad.Trans.Error Methods fold :: Monoid m => ErrorT e f m -> m Source # foldMap :: Monoid m => (a -> m) -> ErrorT e f a -> m Source # foldMap' :: Monoid m => (a -> m) -> ErrorT e f a -> m Source # foldr :: (a -> b -> b) -> b -> ErrorT e f a -> b Source # foldr' :: (a -> b -> b) -> b -> ErrorT e f a -> b Source # foldl :: (b -> a -> b) -> b -> ErrorT e f a -> b Source # foldl' :: (b -> a -> b) -> b -> ErrorT e f a -> b Source # foldr1 :: (a -> a -> a) -> ErrorT e f a -> a Source # foldl1 :: (a -> a -> a) -> ErrorT e f a -> a Source # toList :: ErrorT e f a -> [a] Source # null :: ErrorT e f a -> Bool Source # length :: ErrorT e f a -> Int Source # elem :: Eq a => a -> ErrorT e f a -> Bool Source # maximum :: Ord a => ErrorT e f a -> a Source # minimum :: Ord a => ErrorT e f a -> a Source # | |
| Foldable f => Foldable (IdentityT f) | |
Defined in Control.Monad.Trans.Identity Methods fold :: Monoid m => IdentityT f m -> m Source # foldMap :: Monoid m => (a -> m) -> IdentityT f a -> m Source # foldMap' :: Monoid m => (a -> m) -> IdentityT f a -> m Source # foldr :: (a -> b -> b) -> b -> IdentityT f a -> b Source # foldr' :: (a -> b -> b) -> b -> IdentityT f a -> b Source # foldl :: (b -> a -> b) -> b -> IdentityT f a -> b Source # foldl' :: (b -> a -> b) -> b -> IdentityT f a -> b Source # foldr1 :: (a -> a -> a) -> IdentityT f a -> a Source # foldl1 :: (a -> a -> a) -> IdentityT f a -> a Source # toList :: IdentityT f a -> [a] Source # null :: IdentityT f a -> Bool Source # length :: IdentityT f a -> Int Source # elem :: Eq a => a -> IdentityT f a -> Bool Source # maximum :: Ord a => IdentityT f a -> a Source # minimum :: Ord a => IdentityT f a -> a Source # | |
| Foldable f => Foldable (WriterT w f) | |
Defined in Control.Monad.Trans.Writer.Lazy Methods fold :: Monoid m => WriterT w f m -> m Source # foldMap :: Monoid m => (a -> m) -> WriterT w f a -> m Source # foldMap' :: Monoid m => (a -> m) -> WriterT w f a -> m Source # foldr :: (a -> b -> b) -> b -> WriterT w f a -> b Source # foldr' :: (a -> b -> b) -> b -> WriterT w f a -> b Source # foldl :: (b -> a -> b) -> b -> WriterT w f a -> b Source # foldl' :: (b -> a -> b) -> b -> WriterT w f a -> b Source # foldr1 :: (a -> a -> a) -> WriterT w f a -> a Source # foldl1 :: (a -> a -> a) -> WriterT w f a -> a Source # toList :: WriterT w f a -> [a] Source # null :: WriterT w f a -> Bool Source # length :: WriterT w f a -> Int Source # elem :: Eq a => a -> WriterT w f a -> Bool Source # maximum :: Ord a => WriterT w f a -> a Source # minimum :: Ord a => WriterT w f a -> a Source # | |
| Foldable f => Foldable (WriterT w f) | |
Defined in Control.Monad.Trans.Writer.Strict Methods fold :: Monoid m => WriterT w f m -> m Source # foldMap :: Monoid m => (a -> m) -> WriterT w f a -> m Source # foldMap' :: Monoid m => (a -> m) -> WriterT w f a -> m Source # foldr :: (a -> b -> b) -> b -> WriterT w f a -> b Source # foldr' :: (a -> b -> b) -> b -> WriterT w f a -> b Source # foldl :: (b -> a -> b) -> b -> WriterT w f a -> b Source # foldl' :: (b -> a -> b) -> b -> WriterT w f a -> b Source # foldr1 :: (a -> a -> a) -> WriterT w f a -> a Source # foldl1 :: (a -> a -> a) -> WriterT w f a -> a Source # toList :: WriterT w f a -> [a] Source # null :: WriterT w f a -> Bool Source # length :: WriterT w f a -> Int Source # elem :: Eq a => a -> WriterT w f a -> Bool Source # maximum :: Ord a => WriterT w f a -> a Source # minimum :: Ord a => WriterT w f a -> a Source # | |
| (Foldable f, Foldable g) => Foldable (Product f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Product Methods fold :: Monoid m => Product f g m -> m Source # foldMap :: Monoid m => (a -> m) -> Product f g a -> m Source # foldMap' :: Monoid m => (a -> m) -> Product f g a -> m Source # foldr :: (a -> b -> b) -> b -> Product f g a -> b Source # foldr' :: (a -> b -> b) -> b -> Product f g a -> b Source # foldl :: (b -> a -> b) -> b -> Product f g a -> b Source # foldl' :: (b -> a -> b) -> b -> Product f g a -> b Source # foldr1 :: (a -> a -> a) -> Product f g a -> a Source # foldl1 :: (a -> a -> a) -> Product f g a -> a Source # toList :: Product f g a -> [a] Source # null :: Product f g a -> Bool Source # length :: Product f g a -> Int Source # elem :: Eq a => a -> Product f g a -> Bool Source # maximum :: Ord a => Product f g a -> a Source # minimum :: Ord a => Product f g a -> a Source # | |
| (Foldable f, Foldable g) => Foldable (Sum f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Sum Methods fold :: Monoid m => Sum f g m -> m Source # foldMap :: Monoid m => (a -> m) -> Sum f g a -> m Source # foldMap' :: Monoid m => (a -> m) -> Sum f g a -> m Source # foldr :: (a -> b -> b) -> b -> Sum f g a -> b Source # foldr' :: (a -> b -> b) -> b -> Sum f g a -> b Source # foldl :: (b -> a -> b) -> b -> Sum f g a -> b Source # foldl' :: (b -> a -> b) -> b -> Sum f g a -> b Source # foldr1 :: (a -> a -> a) -> Sum f g a -> a Source # foldl1 :: (a -> a -> a) -> Sum f g a -> a Source # toList :: Sum f g a -> [a] Source # null :: Sum f g a -> Bool Source # length :: Sum f g a -> Int Source # elem :: Eq a => a -> Sum f g a -> Bool Source # maximum :: Ord a => Sum f g a -> a Source # minimum :: Ord a => Sum f g a -> a Source # | |
| (Foldable f, Foldable g) => Foldable (f :*: g) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => (f :*: g) m -> m Source # foldMap :: Monoid m => (a -> m) -> (f :*: g) a -> m Source # foldMap' :: Monoid m => (a -> m) -> (f :*: g) a -> m Source # foldr :: (a -> b -> b) -> b -> (f :*: g) a -> b Source # foldr' :: (a -> b -> b) -> b -> (f :*: g) a -> b Source # foldl :: (b -> a -> b) -> b -> (f :*: g) a -> b Source # foldl' :: (b -> a -> b) -> b -> (f :*: g) a -> b Source # foldr1 :: (a -> a -> a) -> (f :*: g) a -> a Source # foldl1 :: (a -> a -> a) -> (f :*: g) a -> a Source # toList :: (f :*: g) a -> [a] Source # null :: (f :*: g) a -> Bool Source # length :: (f :*: g) a -> Int Source # elem :: Eq a => a -> (f :*: g) a -> Bool Source # maximum :: Ord a => (f :*: g) a -> a Source # minimum :: Ord a => (f :*: g) a -> a Source # | |
| (Foldable f, Foldable g) => Foldable (f :+: g) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => (f :+: g) m -> m Source # foldMap :: Monoid m => (a -> m) -> (f :+: g) a -> m Source # foldMap' :: Monoid m => (a -> m) -> (f :+: g) a -> m Source # foldr :: (a -> b -> b) -> b -> (f :+: g) a -> b Source # foldr' :: (a -> b -> b) -> b -> (f :+: g) a -> b Source # foldl :: (b -> a -> b) -> b -> (f :+: g) a -> b Source # foldl' :: (b -> a -> b) -> b -> (f :+: g) a -> b Source # foldr1 :: (a -> a -> a) -> (f :+: g) a -> a Source # foldl1 :: (a -> a -> a) -> (f :+: g) a -> a Source # toList :: (f :+: g) a -> [a] Source # null :: (f :+: g) a -> Bool Source # length :: (f :+: g) a -> Int Source # elem :: Eq a => a -> (f :+: g) a -> Bool Source # maximum :: Ord a => (f :+: g) a -> a Source # minimum :: Ord a => (f :+: g) a -> a Source # | |
| Foldable (K1 i c :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => K1 i c m -> m Source # foldMap :: Monoid m => (a -> m) -> K1 i c a -> m Source # foldMap' :: Monoid m => (a -> m) -> K1 i c a -> m Source # foldr :: (a -> b -> b) -> b -> K1 i c a -> b Source # foldr' :: (a -> b -> b) -> b -> K1 i c a -> b Source # foldl :: (b -> a -> b) -> b -> K1 i c a -> b Source # foldl' :: (b -> a -> b) -> b -> K1 i c a -> b Source # foldr1 :: (a -> a -> a) -> K1 i c a -> a Source # foldl1 :: (a -> a -> a) -> K1 i c a -> a Source # toList :: K1 i c a -> [a] Source # null :: K1 i c a -> Bool Source # length :: K1 i c a -> Int Source # elem :: Eq a => a -> K1 i c a -> Bool Source # maximum :: Ord a => K1 i c a -> a Source # minimum :: Ord a => K1 i c a -> a Source # | |
| (Foldable f, Foldable g) => Foldable (Compose f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose Methods fold :: Monoid m => Compose f g m -> m Source # foldMap :: Monoid m => (a -> m) -> Compose f g a -> m Source # foldMap' :: Monoid m => (a -> m) -> Compose f g a -> m Source # foldr :: (a -> b -> b) -> b -> Compose f g a -> b Source # foldr' :: (a -> b -> b) -> b -> Compose f g a -> b Source # foldl :: (b -> a -> b) -> b -> Compose f g a -> b Source # foldl' :: (b -> a -> b) -> b -> Compose f g a -> b Source # foldr1 :: (a -> a -> a) -> Compose f g a -> a Source # foldl1 :: (a -> a -> a) -> Compose f g a -> a Source # toList :: Compose f g a -> [a] Source # null :: Compose f g a -> Bool Source # length :: Compose f g a -> Int Source # elem :: Eq a => a -> Compose f g a -> Bool Source # maximum :: Ord a => Compose f g a -> a Source # minimum :: Ord a => Compose f g a -> a Source # | |
| (Foldable f, Foldable g) => Foldable (f :.: g) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => (f :.: g) m -> m Source # foldMap :: Monoid m => (a -> m) -> (f :.: g) a -> m Source # foldMap' :: Monoid m => (a -> m) -> (f :.: g) a -> m Source # foldr :: (a -> b -> b) -> b -> (f :.: g) a -> b Source # foldr' :: (a -> b -> b) -> b -> (f :.: g) a -> b Source # foldl :: (b -> a -> b) -> b -> (f :.: g) a -> b Source # foldl' :: (b -> a -> b) -> b -> (f :.: g) a -> b Source # foldr1 :: (a -> a -> a) -> (f :.: g) a -> a Source # foldl1 :: (a -> a -> a) -> (f :.: g) a -> a Source # toList :: (f :.: g) a -> [a] Source # null :: (f :.: g) a -> Bool Source # length :: (f :.: g) a -> Int Source # elem :: Eq a => a -> (f :.: g) a -> Bool Source # maximum :: Ord a => (f :.: g) a -> a Source # minimum :: Ord a => (f :.: g) a -> a Source # | |
| Foldable f => Foldable (M1 i c f) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => M1 i c f m -> m Source # foldMap :: Monoid m => (a -> m) -> M1 i c f a -> m Source # foldMap' :: Monoid m => (a -> m) -> M1 i c f a -> m Source # foldr :: (a -> b -> b) -> b -> M1 i c f a -> b Source # foldr' :: (a -> b -> b) -> b -> M1 i c f a -> b Source # foldl :: (b -> a -> b) -> b -> M1 i c f a -> b Source # foldl' :: (b -> a -> b) -> b -> M1 i c f a -> b Source # foldr1 :: (a -> a -> a) -> M1 i c f a -> a Source # foldl1 :: (a -> a -> a) -> M1 i c f a -> a Source # toList :: M1 i c f a -> [a] Source # null :: M1 i c f a -> Bool Source # length :: M1 i c f a -> Int Source # elem :: Eq a => a -> M1 i c f a -> Bool Source # maximum :: Ord a => M1 i c f a -> a Source # minimum :: Ord a => M1 i c f a -> a Source # | |
| Foldable (Clown f a :: Type -> Type) | |
Defined in Data.Bifunctor.Clown Methods fold :: Monoid m => Clown f a m -> m Source # foldMap :: Monoid m => (a0 -> m) -> Clown f a a0 -> m Source # foldMap' :: Monoid m => (a0 -> m) -> Clown f a a0 -> m Source # foldr :: (a0 -> b -> b) -> b -> Clown f a a0 -> b Source # foldr' :: (a0 -> b -> b) -> b -> Clown f a a0 -> b Source # foldl :: (b -> a0 -> b) -> b -> Clown f a a0 -> b Source # foldl' :: (b -> a0 -> b) -> b -> Clown f a a0 -> b Source # foldr1 :: (a0 -> a0 -> a0) -> Clown f a a0 -> a0 Source # foldl1 :: (a0 -> a0 -> a0) -> Clown f a a0 -> a0 Source # toList :: Clown f a a0 -> [a0] Source # null :: Clown f a a0 -> Bool Source # length :: Clown f a a0 -> Int Source # elem :: Eq a0 => a0 -> Clown f a a0 -> Bool Source # maximum :: Ord a0 => Clown f a a0 -> a0 Source # minimum :: Ord a0 => Clown f a a0 -> a0 Source # | |
| Bifoldable p => Foldable (Flip p a) | |
Defined in Data.Bifunctor.Flip Methods fold :: Monoid m => Flip p a m -> m Source # foldMap :: Monoid m => (a0 -> m) -> Flip p a a0 -> m Source # foldMap' :: Monoid m => (a0 -> m) -> Flip p a a0 -> m Source # foldr :: (a0 -> b -> b) -> b -> Flip p a a0 -> b Source # foldr' :: (a0 -> b -> b) -> b -> Flip p a a0 -> b Source # foldl :: (b -> a0 -> b) -> b -> Flip p a a0 -> b Source # foldl' :: (b -> a0 -> b) -> b -> Flip p a a0 -> b Source # foldr1 :: (a0 -> a0 -> a0) -> Flip p a a0 -> a0 Source # foldl1 :: (a0 -> a0 -> a0) -> Flip p a a0 -> a0 Source # toList :: Flip p a a0 -> [a0] Source # null :: Flip p a a0 -> Bool Source # length :: Flip p a a0 -> Int Source # elem :: Eq a0 => a0 -> Flip p a a0 -> Bool Source # maximum :: Ord a0 => Flip p a a0 -> a0 Source # minimum :: Ord a0 => Flip p a a0 -> a0 Source # | |
| Foldable g => Foldable (Joker g a) | |
Defined in Data.Bifunctor.Joker Methods fold :: Monoid m => Joker g a m -> m Source # foldMap :: Monoid m => (a0 -> m) -> Joker g a a0 -> m Source # foldMap' :: Monoid m => (a0 -> m) -> Joker g a a0 -> m Source # foldr :: (a0 -> b -> b) -> b -> Joker g a a0 -> b Source # foldr' :: (a0 -> b -> b) -> b -> Joker g a a0 -> b Source # foldl :: (b -> a0 -> b) -> b -> Joker g a a0 -> b Source # foldl' :: (b -> a0 -> b) -> b -> Joker g a a0 -> b Source # foldr1 :: (a0 -> a0 -> a0) -> Joker g a a0 -> a0 Source # foldl1 :: (a0 -> a0 -> a0) -> Joker g a a0 -> a0 Source # toList :: Joker g a a0 -> [a0] Source # null :: Joker g a a0 -> Bool Source # length :: Joker g a a0 -> Int Source # elem :: Eq a0 => a0 -> Joker g a a0 -> Bool Source # maximum :: Ord a0 => Joker g a a0 -> a0 Source # minimum :: Ord a0 => Joker g a a0 -> a0 Source # | |
| Bifoldable p => Foldable (WrappedBifunctor p a) | |
Defined in Data.Bifunctor.Wrapped Methods fold :: Monoid m => WrappedBifunctor p a m -> m Source # foldMap :: Monoid m => (a0 -> m) -> WrappedBifunctor p a a0 -> m Source # foldMap' :: Monoid m => (a0 -> m) -> WrappedBifunctor p a a0 -> m Source # foldr :: (a0 -> b -> b) -> b -> WrappedBifunctor p a a0 -> b Source # foldr' :: (a0 -> b -> b) -> b -> WrappedBifunctor p a a0 -> b Source # foldl :: (b -> a0 -> b) -> b -> WrappedBifunctor p a a0 -> b Source # foldl' :: (b -> a0 -> b) -> b -> WrappedBifunctor p a a0 -> b Source # foldr1 :: (a0 -> a0 -> a0) -> WrappedBifunctor p a a0 -> a0 Source # foldl1 :: (a0 -> a0 -> a0) -> WrappedBifunctor p a a0 -> a0 Source # toList :: WrappedBifunctor p a a0 -> [a0] Source # null :: WrappedBifunctor p a a0 -> Bool Source # length :: WrappedBifunctor p a a0 -> Int Source # elem :: Eq a0 => a0 -> WrappedBifunctor p a a0 -> Bool Source # maximum :: Ord a0 => WrappedBifunctor p a a0 -> a0 Source # minimum :: Ord a0 => WrappedBifunctor p a a0 -> a0 Source # sum :: Num a0 => WrappedBifunctor p a a0 -> a0 Source # product :: Num a0 => WrappedBifunctor p a a0 -> a0 Source # | |
| (Foldable f, Bifoldable p) => Foldable (Tannen f p a) | |
Defined in Data.Bifunctor.Tannen Methods fold :: Monoid m => Tannen f p a m -> m Source # foldMap :: Monoid m => (a0 -> m) -> Tannen f p a a0 -> m Source # foldMap' :: Monoid m => (a0 -> m) -> Tannen f p a a0 -> m Source # foldr :: (a0 -> b -> b) -> b -> Tannen f p a a0 -> b Source # foldr' :: (a0 -> b -> b) -> b -> Tannen f p a a0 -> b Source # foldl :: (b -> a0 -> b) -> b -> Tannen f p a a0 -> b Source # foldl' :: (b -> a0 -> b) -> b -> Tannen f p a a0 -> b Source # foldr1 :: (a0 -> a0 -> a0) -> Tannen f p a a0 -> a0 Source # foldl1 :: (a0 -> a0 -> a0) -> Tannen f p a a0 -> a0 Source # toList :: Tannen f p a a0 -> [a0] Source # null :: Tannen f p a a0 -> Bool Source # length :: Tannen f p a a0 -> Int Source # elem :: Eq a0 => a0 -> Tannen f p a a0 -> Bool Source # maximum :: Ord a0 => Tannen f p a a0 -> a0 Source # minimum :: Ord a0 => Tannen f p a a0 -> a0 Source # | |
| (Bifoldable p, Foldable g) => Foldable (Biff p f g a) | |
Defined in Data.Bifunctor.Biff Methods fold :: Monoid m => Biff p f g a m -> m Source # foldMap :: Monoid m => (a0 -> m) -> Biff p f g a a0 -> m Source # foldMap' :: Monoid m => (a0 -> m) -> Biff p f g a a0 -> m Source # foldr :: (a0 -> b -> b) -> b -> Biff p f g a a0 -> b Source # foldr' :: (a0 -> b -> b) -> b -> Biff p f g a a0 -> b Source # foldl :: (b -> a0 -> b) -> b -> Biff p f g a a0 -> b Source # foldl' :: (b -> a0 -> b) -> b -> Biff p f g a a0 -> b Source # foldr1 :: (a0 -> a0 -> a0) -> Biff p f g a a0 -> a0 Source # foldl1 :: (a0 -> a0 -> a0) -> Biff p f g a a0 -> a0 Source # toList :: Biff p f g a a0 -> [a0] Source # null :: Biff p f g a a0 -> Bool Source # length :: Biff p f g a a0 -> Int Source # elem :: Eq a0 => a0 -> Biff p f g a a0 -> Bool Source # maximum :: Ord a0 => Biff p f g a a0 -> a0 Source # minimum :: Ord a0 => Biff p f g a a0 -> a0 Source # | |
class (Functor t, Foldable t) => Traversable (t :: Type -> Type) where Source #
Functors representing data structures that can be transformed to
structures of the same shape by performing an Applicative (or,
therefore, Monad) action on each element from left to right.
A more detailed description of what same shape means, the various methods, how traversals are constructed, and example advanced use-cases can be found in the Overview section of Data.Traversable.
For the class laws see the Laws section of Data.Traversable.
Methods
traverse :: Applicative f => (a -> f b) -> t a -> f (t b) Source #
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_.
Examples
Basic usage:
In the first two examples we show each evaluated action mapping to the output structure.
>>>traverse Just [1,2,3,4]Just [1,2,3,4]
>>>traverse id [Right 1, Right 2, Right 3, Right 4]Right [1,2,3,4]
In the next examples, we show that Nothing and Left values short
circuit the created structure.
>>>traverse (const Nothing) [1,2,3,4]Nothing
>>>traverse (\x -> if odd x then Just x else Nothing) [1,2,3,4]Nothing
>>>traverse id [Right 1, Right 2, Right 3, Right 4, Left 0]Left 0
sequenceA :: Applicative f => t (f a) -> f (t a) Source #
Evaluate each action in the structure from left to right, and
collect the results. For a version that ignores the results
see sequenceA_.
Examples
Basic usage:
For the first two examples we show sequenceA fully evaluating a a structure and collecting the results.
>>>sequenceA [Just 1, Just 2, Just 3]Just [1,2,3]
>>>sequenceA [Right 1, Right 2, Right 3]Right [1,2,3]
The next two example show Nothing and Just will short circuit
the resulting structure if present in the input. For more context,
check the Traversable instances for Either and Maybe.
>>>sequenceA [Just 1, Just 2, Just 3, Nothing]Nothing
>>>sequenceA [Right 1, Right 2, Right 3, Left 4]Left 4
mapM :: Monad m => (a -> m b) -> t a -> m (t b) Source #
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_.
Examples
sequence :: Monad m => t (m a) -> m (t a) Source #
Evaluate each monadic action in the structure from left to
right, and collect the results. For a version that ignores the
results see sequence_.
Examples
Basic usage:
The first two examples are instances where the input and
and output of sequence are isomorphic.
>>>sequence $ Right [1,2,3,4][Right 1,Right 2,Right 3,Right 4]
>>>sequence $ [Right 1,Right 2,Right 3,Right 4]Right [1,2,3,4]
The following examples demonstrate short circuit behavior
for sequence.
>>>sequence $ Left [1,2,3,4]Left [1,2,3,4]
>>>sequence $ [Left 0, Right 1,Right 2,Right 3,Right 4]Left 0
Instances
| Traversable ZipList | Since: base-4.9.0.0 |
Defined in Data.Traversable | |
| Traversable Complex | Since: base-4.9.0.0 |
Defined in Data.Complex | |
| Traversable Identity | Since: base-4.9.0.0 |
Defined in Data.Traversable | |
| Traversable First | Since: base-4.8.0.0 |
| Traversable Last | Since: base-4.8.0.0 |
| Traversable Down | Since: base-4.12.0.0 |
| Traversable First | Since: base-4.9.0.0 |
| Traversable Last | Since: base-4.9.0.0 |
| Traversable Max | Since: base-4.9.0.0 |
| Traversable Min | Since: base-4.9.0.0 |
| Traversable Option | Since: base-4.9.0.0 |
Defined in Data.Semigroup | |
| Traversable Dual | Since: base-4.8.0.0 |
| Traversable Product | Since: base-4.8.0.0 |
Defined in Data.Traversable | |
| Traversable Sum | Since: base-4.8.0.0 |
| Traversable NonEmpty | Since: base-4.9.0.0 |
Defined in Data.Traversable | |
| Traversable Par1 | Since: base-4.9.0.0 |
| Traversable IntMap | Traverses in order of increasing key. |
Defined in Data.IntMap.Internal | |
| Traversable Digit | |
Defined in Data.Sequence.Internal | |
| Traversable Elem | |
| Traversable FingerTree | |
Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> FingerTree a -> f (FingerTree b) Source # sequenceA :: Applicative f => FingerTree (f a) -> f (FingerTree a) Source # mapM :: Monad m => (a -> m b) -> FingerTree a -> m (FingerTree b) Source # sequence :: Monad m => FingerTree (m a) -> m (FingerTree a) Source # | |
| Traversable Node | |
| Traversable Seq | |
| Traversable ViewL | |
Defined in Data.Sequence.Internal | |
| Traversable ViewR | |
Defined in Data.Sequence.Internal | |
| Traversable Tree | |
| Traversable DList | |
| Traversable Array | |
Defined in Data.Primitive.Array | |
| Traversable SmallArray | |
Defined in Data.Primitive.SmallArray Methods traverse :: Applicative f => (a -> f b) -> SmallArray a -> f (SmallArray b) Source # sequenceA :: Applicative f => SmallArray (f a) -> f (SmallArray a) Source # mapM :: Monad m => (a -> m b) -> SmallArray a -> m (SmallArray b) Source # sequence :: Monad m => SmallArray (m a) -> m (SmallArray a) Source # | |
| Traversable Vector | |
| Traversable Maybe | Since: base-2.1 |
| Traversable Solo | Since: base-4.15 |
| Traversable [] | Since: base-2.1 |
| Traversable (Either a) | Since: base-4.7.0.0 |
Defined in Data.Traversable Methods traverse :: Applicative f => (a0 -> f b) -> Either a a0 -> f (Either a b) Source # sequenceA :: Applicative f => Either a (f a0) -> f (Either a a0) Source # mapM :: Monad m => (a0 -> m b) -> Either a a0 -> m (Either a b) Source # sequence :: Monad m => Either a (m a0) -> m (Either a a0) Source # | |
| Traversable (Proxy :: Type -> Type) | Since: base-4.7.0.0 |
| Traversable (Arg a) | Since: base-4.9.0.0 |
Defined in Data.Semigroup | |
| Ix i => Traversable (Array i) | Since: base-2.1 |
Defined in Data.Traversable | |
| Traversable (U1 :: Type -> Type) | Since: base-4.9.0.0 |
| Traversable (UAddr :: Type -> Type) | Since: base-4.9.0.0 |
| Traversable (UChar :: Type -> Type) | Since: base-4.9.0.0 |
| Traversable (UDouble :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Traversable | |
| Traversable (UFloat :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Traversable | |
| Traversable (UInt :: Type -> Type) | Since: base-4.9.0.0 |
| Traversable (UWord :: Type -> Type) | Since: base-4.9.0.0 |
| Traversable (V1 :: Type -> Type) | Since: base-4.9.0.0 |
| Traversable (Map k) | Traverses in order of increasing key. |
| Traversable f => Traversable (Cofree f) | |
Defined in Control.Comonad.Cofree | |
| Traversable f => Traversable (Free f) | |
Defined in Control.Monad.Free | |
| Traversable f => Traversable (ListT f) | |
Defined in Control.Monad.Trans.List | |
| Traversable f => Traversable (MaybeT f) | |
Defined in Control.Monad.Trans.Maybe | |
| Traversable (HashMap k) | |
Defined in Data.HashMap.Internal Methods traverse :: Applicative f => (a -> f b) -> HashMap k a -> f (HashMap k b) Source # sequenceA :: Applicative f => HashMap k (f a) -> f (HashMap k a) Source # mapM :: Monad m => (a -> m b) -> HashMap k a -> m (HashMap k b) Source # sequence :: Monad m => HashMap k (m a) -> m (HashMap k a) Source # | |
| Traversable ((,) a) | Since: base-4.7.0.0 |
| Traversable (Const m :: Type -> Type) | Since: base-4.7.0.0 |
Defined in Data.Traversable | |
| Traversable f => Traversable (Ap f) | Since: base-4.12.0.0 |
| Traversable f => Traversable (Alt f) | Since: base-4.12.0.0 |
Defined in Data.Traversable | |
| Traversable f => Traversable (Rec1 f) | Since: base-4.9.0.0 |
Defined in Data.Traversable | |
| Bitraversable p => Traversable (Join p) | |
Defined in Data.Bifunctor.Join | |
| Traversable w => Traversable (EnvT e w) | |
Defined in Control.Comonad.Trans.Env | |
| Traversable f => Traversable (FreeF f a) | |
Defined in Control.Monad.Trans.Free Methods traverse :: Applicative f0 => (a0 -> f0 b) -> FreeF f a a0 -> f0 (FreeF f a b) Source # sequenceA :: Applicative f0 => FreeF f a (f0 a0) -> f0 (FreeF f a a0) Source # mapM :: Monad m => (a0 -> m b) -> FreeF f a a0 -> m (FreeF f a b) Source # sequence :: Monad m => FreeF f a (m a0) -> m (FreeF f a a0) Source # | |
| (Monad m, Traversable m, Traversable f) => Traversable (FreeT f m) | |
Defined in Control.Monad.Trans.Free Methods traverse :: Applicative f0 => (a -> f0 b) -> FreeT f m a -> f0 (FreeT f m b) Source # sequenceA :: Applicative f0 => FreeT f m (f0 a) -> f0 (FreeT f m a) Source # mapM :: Monad m0 => (a -> m0 b) -> FreeT f m a -> m0 (FreeT f m b) Source # sequence :: Monad m0 => FreeT f m (m0 a) -> m0 (FreeT f m a) Source # | |
| Traversable (Tagged s) | |
Defined in Data.Tagged | |
| Traversable f => Traversable (ErrorT e f) | |
Defined in Control.Monad.Trans.Error Methods traverse :: Applicative f0 => (a -> f0 b) -> ErrorT e f a -> f0 (ErrorT e f b) Source # sequenceA :: Applicative f0 => ErrorT e f (f0 a) -> f0 (ErrorT e f a) Source # mapM :: Monad m => (a -> m b) -> ErrorT e f a -> m (ErrorT e f b) Source # sequence :: Monad m => ErrorT e f (m a) -> m (ErrorT e f a) Source # | |
| Traversable f => Traversable (IdentityT f) | |
Defined in Control.Monad.Trans.Identity Methods traverse :: Applicative f0 => (a -> f0 b) -> IdentityT f a -> f0 (IdentityT f b) Source # sequenceA :: Applicative f0 => IdentityT f (f0 a) -> f0 (IdentityT f a) Source # mapM :: Monad m => (a -> m b) -> IdentityT f a -> m (IdentityT f b) Source # sequence :: Monad m => IdentityT f (m a) -> m (IdentityT f a) Source # | |
| Traversable f => Traversable (WriterT w f) | |
Defined in Control.Monad.Trans.Writer.Lazy Methods traverse :: Applicative f0 => (a -> f0 b) -> WriterT w f a -> f0 (WriterT w f b) Source # sequenceA :: Applicative f0 => WriterT w f (f0 a) -> f0 (WriterT w f a) Source # mapM :: Monad m => (a -> m b) -> WriterT w f a -> m (WriterT w f b) Source # sequence :: Monad m => WriterT w f (m a) -> m (WriterT w f a) Source # | |
| Traversable f => Traversable (WriterT w f) | |
Defined in Control.Monad.Trans.Writer.Strict Methods traverse :: Applicative f0 => (a -> f0 b) -> WriterT w f a -> f0 (WriterT w f b) Source # sequenceA :: Applicative f0 => WriterT w f (f0 a) -> f0 (WriterT w f a) Source # mapM :: Monad m => (a -> m b) -> WriterT w f a -> m (WriterT w f b) Source # sequence :: Monad m => WriterT w f (m a) -> m (WriterT w f a) Source # | |
| (Traversable f, Traversable g) => Traversable (Product f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Product Methods traverse :: Applicative f0 => (a -> f0 b) -> Product f g a -> f0 (Product f g b) Source # sequenceA :: Applicative f0 => Product f g (f0 a) -> f0 (Product f g a) Source # mapM :: Monad m => (a -> m b) -> Product f g a -> m (Product f g b) Source # sequence :: Monad m => Product f g (m a) -> m (Product f g a) Source # | |
| (Traversable f, Traversable g) => Traversable (Sum f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Sum | |
| (Traversable f, Traversable g) => Traversable (f :*: g) | Since: base-4.9.0.0 |
Defined in Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> (f :*: g) a -> f0 ((f :*: g) b) Source # sequenceA :: Applicative f0 => (f :*: g) (f0 a) -> f0 ((f :*: g) a) Source # mapM :: Monad m => (a -> m b) -> (f :*: g) a -> m ((f :*: g) b) Source # sequence :: Monad m => (f :*: g) (m a) -> m ((f :*: g) a) Source # | |
| (Traversable f, Traversable g) => Traversable (f :+: g) | Since: base-4.9.0.0 |
Defined in Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> (f :+: g) a -> f0 ((f :+: g) b) Source # sequenceA :: Applicative f0 => (f :+: g) (f0 a) -> f0 ((f :+: g) a) Source # mapM :: Monad m => (a -> m b) -> (f :+: g) a -> m ((f :+: g) b) Source # sequence :: Monad m => (f :+: g) (m a) -> m ((f :+: g) a) Source # | |
| Traversable (K1 i c :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Traversable | |
| (Traversable f, Traversable g) => Traversable (Compose f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose Methods traverse :: Applicative f0 => (a -> f0 b) -> Compose f g a -> f0 (Compose f g b) Source # sequenceA :: Applicative f0 => Compose f g (f0 a) -> f0 (Compose f g a) Source # mapM :: Monad m => (a -> m b) -> Compose f g a -> m (Compose f g b) Source # sequence :: Monad m => Compose f g (m a) -> m (Compose f g a) Source # | |
| (Traversable f, Traversable g) => Traversable (f :.: g) | Since: base-4.9.0.0 |
Defined in Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> (f :.: g) a -> f0 ((f :.: g) b) Source # sequenceA :: Applicative f0 => (f :.: g) (f0 a) -> f0 ((f :.: g) a) Source # mapM :: Monad m => (a -> m b) -> (f :.: g) a -> m ((f :.: g) b) Source # sequence :: Monad m => (f :.: g) (m a) -> m ((f :.: g) a) Source # | |
| Traversable f => Traversable (M1 i c f) | Since: base-4.9.0.0 |
Defined in Data.Traversable | |
| Traversable (Clown f a :: Type -> Type) | |
Defined in Data.Bifunctor.Clown Methods traverse :: Applicative f0 => (a0 -> f0 b) -> Clown f a a0 -> f0 (Clown f a b) Source # sequenceA :: Applicative f0 => Clown f a (f0 a0) -> f0 (Clown f a a0) Source # mapM :: Monad m => (a0 -> m b) -> Clown f a a0 -> m (Clown f a b) Source # sequence :: Monad m => Clown f a (m a0) -> m (Clown f a a0) Source # | |
| Bitraversable p => Traversable (Flip p a) | |
Defined in Data.Bifunctor.Flip Methods traverse :: Applicative f => (a0 -> f b) -> Flip p a a0 -> f (Flip p a b) Source # sequenceA :: Applicative f => Flip p a (f a0) -> f (Flip p a a0) Source # mapM :: Monad m => (a0 -> m b) -> Flip p a a0 -> m (Flip p a b) Source # sequence :: Monad m => Flip p a (m a0) -> m (Flip p a a0) Source # | |
| Traversable g => Traversable (Joker g a) | |
Defined in Data.Bifunctor.Joker Methods traverse :: Applicative f => (a0 -> f b) -> Joker g a a0 -> f (Joker g a b) Source # sequenceA :: Applicative f => Joker g a (f a0) -> f (Joker g a a0) Source # mapM :: Monad m => (a0 -> m b) -> Joker g a a0 -> m (Joker g a b) Source # sequence :: Monad m => Joker g a (m a0) -> m (Joker g a a0) Source # | |
| Bitraversable p => Traversable (WrappedBifunctor p a) | |
Defined in Data.Bifunctor.Wrapped Methods traverse :: Applicative f => (a0 -> f b) -> WrappedBifunctor p a a0 -> f (WrappedBifunctor p a b) Source # sequenceA :: Applicative f => WrappedBifunctor p a (f a0) -> f (WrappedBifunctor p a a0) Source # mapM :: Monad m => (a0 -> m b) -> WrappedBifunctor p a a0 -> m (WrappedBifunctor p a b) Source # sequence :: Monad m => WrappedBifunctor p a (m a0) -> m (WrappedBifunctor p a a0) Source # | |
| (Traversable f, Bitraversable p) => Traversable (Tannen f p a) | |
Defined in Data.Bifunctor.Tannen Methods traverse :: Applicative f0 => (a0 -> f0 b) -> Tannen f p a a0 -> f0 (Tannen f p a b) Source # sequenceA :: Applicative f0 => Tannen f p a (f0 a0) -> f0 (Tannen f p a a0) Source # mapM :: Monad m => (a0 -> m b) -> Tannen f p a a0 -> m (Tannen f p a b) Source # sequence :: Monad m => Tannen f p a (m a0) -> m (Tannen f p a a0) Source # | |
| (Bitraversable p, Traversable g) => Traversable (Biff p f g a) | |
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) Source # sequenceA :: Applicative f0 => Biff p f g a (f0 a0) -> f0 (Biff p f g a a0) Source # mapM :: Monad m => (a0 -> m b) -> Biff p f g a a0 -> m (Biff p f g a b) Source # sequence :: Monad m => Biff p f g a (m a0) -> m (Biff p f g a a0) Source # | |
forM :: (Traversable t, Monad m) => t a -> (a -> m b) -> m (t b) Source #
for :: (Traversable t, Applicative f) => t a -> (a -> f b) -> f (t b) Source #
Bifunctor (since 0.10.0)
module Data.Bifunctor
Mono hierarchy
module Data.MonoTraversable
module Data.Sequences
module Data.Containers
module Data.Builder
module Data.NonNull
toByteVector :: ByteString -> SVector Word8 Source #
Convert a ByteString into a storable Vector.
fromByteVector :: SVector Word8 -> ByteString Source #
Convert a storable Vector into a ByteString.
I/O
module Say
Concurrency
yieldThread :: MonadIO m => m () Source #
Originally yield.
waitCatchAsync :: MonadIO m => Async a -> m (Either SomeException a) Source #
waitCatchSTM for any MonadIO
Since: 1.0.0
Non-standard
List-like classes
zipWith5 :: Zip5 f => (a -> b -> c -> d -> e -> g) -> f a -> f b -> f c -> f d -> f e -> f g Source #
zipWith6 :: Zip6 f => (a -> b -> c -> d -> e -> g -> h) -> f a -> f b -> f c -> f d -> f e -> f g -> f h Source #
zipWith7 :: Zip7 f => (a -> b -> c -> d -> e -> g -> h -> i) -> f a -> f b -> f c -> f d -> f e -> f g -> f h -> f i Source #
ordNubBy :: Ord b => (a -> b) -> (a -> a -> Bool) -> [a] -> [a] Source #
sortWith :: (Ord a, IsSequence c) => (Element c -> a) -> c -> c Source #
Sort elements using the user supplied function to project something out of each element. Inspired by http://hackage.haskell.org/packages/archive/base/latest/doc/html/GHC-Exts.html#v:sortWith.
repeat x is an infinite list, with x the value of every element.
>>>take 20 $ repeat 17[17,17,17,17,17,17,17,17,17...
Set-like
(\\) :: SetContainer a => a -> a -> a infixl 9 Source #
An alias for difference.
intersect :: SetContainer a => a -> a -> a Source #
An alias for intersection.
Text-like
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
showis 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
showsPrecwill produce infix applications of the constructor. - the representation will be enclosed in parentheses if the
precedence of the top-level constructor in
xis less thand(associativity is ignored). Thus, ifdis0then the result is never surrounded in parentheses; ifdis11it is always surrounded in parentheses, unless it is an atomic expression. - If the constructor is defined using record syntax, then
showwill 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 = 5Note that right-associativity of :^: is ignored. For example,
show(Leaf 1 :^: Leaf 2 :^: Leaf 3)"Leaf 1 :^: (Leaf 2 :^: Leaf 3)".
Methods
Arguments
| :: Int | the operator precedence of the enclosing
context (a number from |
| -> a | the value to be converted to a |
| -> ShowS |
Convert a value to a readable String.
showsPrec should satisfy the law
showsPrec d x r ++ s == showsPrec d x (r ++ s)
Derived instances of Read and Show satisfy the following:
That is, readsPrec parses the string produced by
showsPrec, and delivers the value that showsPrec started with.
Instances
| Show AsyncCancelled | |
Defined in Control.Concurrent.Async | |
| Show ExceptionInLinkedThread | |
Defined in Control.Concurrent.Async | |
| Show SomeTypeRep | Since: base-4.10.0.0 |
Defined in Data.Typeable.Internal | |
| Show Version | Since: base-2.1 |
| Show Void | Since: base-4.8.0.0 |
| Show CBool | |
| Show CChar | |
| Show CClock | |
| Show CDouble | |
| Show CFloat | |
| Show CInt | |
| Show CIntMax | |
| Show CIntPtr | |
| Show CLLong | |
| Show CLong | |
| Show CPtrdiff | |
| Show CSChar | |
| Show CSUSeconds | |
Defined in Foreign.C.Types | |
| Show CShort | |
| Show CSigAtomic | |
Defined in Foreign.C.Types | |
| Show CSize | |
| Show CTime | |
| Show CUChar | |
| Show CUInt | |
| Show CUIntMax | |
| Show CUIntPtr | |
| Show CULLong | |
| Show CULong | |
| Show CUSeconds | |
| Show CUShort | |
| Show CWchar | |
| Show IntPtr | |
| Show WordPtr | |
| Show BlockReason | Since: base-4.3.0.0 |
Defined in GHC.Conc.Sync | |
| Show ThreadId | Since: base-4.2.0.0 |
| Show ThreadStatus | Since: base-4.3.0.0 |
Defined in GHC.Conc.Sync | |
| Show ArithException | Since: base-4.0.0.0 |
Defined in GHC.Exception.Type | |
| Show SomeException | Since: base-3.0 |
Defined in GHC.Exception.Type | |
| Show Fingerprint | Since: base-4.7.0.0 |
Defined in GHC.Fingerprint.Type | |
| Show Associativity | Since: base-4.6.0.0 |
Defined in GHC.Generics | |
| Show DecidedStrictness | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Show Fixity | Since: base-4.6.0.0 |
| Show SourceStrictness | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Show SourceUnpackedness | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Show MaskingState | Since: base-4.3.0.0 |
| Show SeekMode | Since: base-4.2.0.0 |
| Show AllocationLimitExceeded | Since: base-4.7.1.0 |
Defined in GHC.IO.Exception | |
| Show ArrayException | Since: base-4.1.0.0 |
Defined in GHC.IO.Exception | |
| Show AssertionFailed | Since: base-4.1.0.0 |
Defined in GHC.IO.Exception | |
| Show AsyncException | Since: base-4.1.0.0 |
Defined in GHC.IO.Exception | |
| Show BlockedIndefinitelyOnMVar | Since: base-4.1.0.0 |
Defined in GHC.IO.Exception | |
| Show BlockedIndefinitelyOnSTM | Since: base-4.1.0.0 |
Defined in GHC.IO.Exception | |
| Show CompactionFailed | Since: base-4.10.0.0 |
Defined in GHC.IO.Exception | |
| Show Deadlock | Since: base-4.1.0.0 |
| Show ExitCode | |
| Show FixIOException | Since: base-4.11.0.0 |
Defined in GHC.IO.Exception | |
| Show IOErrorType | Since: base-4.1.0.0 |
Defined in GHC.IO.Exception | |
| Show IOException | Since: base-4.1.0.0 |
Defined in GHC.IO.Exception | |
| Show SomeAsyncException | Since: base-4.7.0.0 |
Defined in GHC.IO.Exception | |
| Show BufferMode | Since: base-4.2.0.0 |
Defined in GHC.IO.Handle.Types | |
| Show Handle | Since: base-4.1.0.0 |
| Show HandleType | Since: base-4.1.0.0 |
Defined in GHC.IO.Handle.Types | |
| Show Newline | Since: base-4.3.0.0 |
| Show NewlineMode | Since: base-4.3.0.0 |
Defined in GHC.IO.Handle.Types | |
| Show IOMode | Since: base-4.2.0.0 |
| Show Int16 | Since: base-2.1 |
| Show Int32 | Since: base-2.1 |
| Show Int64 | Since: base-2.1 |
| Show Int8 | Since: base-2.1 |
| Show CallStack | Since: base-4.9.0.0 |
| Show SrcLoc | Since: base-4.9.0.0 |
| Show GCDetails | Since: base-4.10.0.0 |
| Show RTSStats | Since: base-4.10.0.0 |
| Show GeneralCategory | Since: base-2.1 |
Defined in GHC.Unicode | |
| Show Word16 | Since: base-2.1 |
| Show Word32 | Since: base-2.1 |
| Show Word64 | Since: base-2.1 |
| Show ByteString | |
Defined in Data.ByteString.Internal | |
| Show ByteString | |
Defined in Data.ByteString.Lazy.Internal | |
| Show ShortByteString | |
Defined in Data.ByteString.Short.Internal | |
| Show IntSet | |
| Show Relation | |
| Show ForeignSrcLang | |
Defined in GHC.ForeignSrcLang.Type | |
| Show Extension | |
| Show KindRep | |
| Show Module | Since: base-4.9.0.0 |
| Show Ordering | Since: base-2.1 |
| Show TrName | Since: base-4.9.0.0 |
| Show TyCon | Since: base-2.1 |
| Show TypeLitSort | Since: base-4.11.0.0 |
| Show NullError | |
| Show Mode | |
| Show Style | |
| Show TextDetails | |
Defined in Text.PrettyPrint.Annotated.HughesPJ | |
| Show Doc | |
| Show ByteArray | Behavior changed in 0.7.2.0. Before 0.7.2.0, this instance rendered
8-bit words less than 16 as a single hexadecimal digit (e.g. 13 was Since: primitive-0.6.3.0 |
| Show AnnLookup | |
| Show AnnTarget | |
| Show Bang | |
| Show Body | |
| Show Bytes | |
| Show Callconv | |
| Show Clause | |
| Show Con | |
| Show Dec | |
| Show DecidedStrictness | |
Defined in Language.Haskell.TH.Syntax | |
| Show DerivClause | |
Defined in Language.Haskell.TH.Syntax | |
| Show DerivStrategy | |
Defined in Language.Haskell.TH.Syntax | |
| Show Exp | |
| Show FamilyResultSig | |
Defined in Language.Haskell.TH.Syntax | |
| Show Fixity | |
| Show FixityDirection | |
Defined in Language.Haskell.TH.Syntax | |
| Show Foreign | |
| Show FunDep | |
| Show Guard | |
| Show Info | |
| Show InjectivityAnn | |
Defined in Language.Haskell.TH.Syntax | |
| Show Inline | |
| Show Lit | |
| Show Loc | |
| Show Match | |
| Show ModName | |
| Show Module | |
| Show ModuleInfo | |
Defined in Language.Haskell.TH.Syntax | |
| Show Name | |
| Show NameFlavour | |
Defined in Language.Haskell.TH.Syntax | |
| Show NameSpace | |
| Show OccName | |
| Show Overlap | |
| Show Pat | |
| Show PatSynArgs | |
Defined in Language.Haskell.TH.Syntax | |
| Show PatSynDir | |
| Show Phases | |
| Show PkgName | |
| Show Pragma | |
| Show Range | |
| Show Role | |
| Show RuleBndr | |
| Show RuleMatch | |
| Show Safety | |
| Show SourceStrictness | |
Defined in Language.Haskell.TH.Syntax | |
| Show SourceUnpackedness | |
Defined in Language.Haskell.TH.Syntax | |
| Show Specificity | |
Defined in Language.Haskell.TH.Syntax | |
| Show Stmt | |
| Show TyLit | |
| Show TySynEqn | |
| Show Type | |
| Show TypeFamilyHead | |
Defined in Language.Haskell.TH.Syntax | |
| Show DiffTime | |
| Show TimeLocale | |
Defined in Data.Time.Format.Locale | |
| Show LocalTime | |
| Show ZonedTime | |
| Show AsyncExceptionWrapper | Since: unliftio-0.1.0.0 |
Defined in UnliftIO.Exception | |
| Show StringException | Since: unliftio-0.1.0.0 |
Defined in UnliftIO.Exception | |
| Show SyncExceptionWrapper | Since: unliftio-0.1.0.0 |
Defined in UnliftIO.Exception | |
| Show ConcException | |
Defined in UnliftIO.Internals.Async | |
| Show Word8 | Since: base-2.1 |
| Show Integer | Since: base-2.1 |
| Show Natural | Since: base-4.8.0.0 |
| Show () | Since: base-2.1 |
| Show Bool | Since: base-2.1 |
| Show Char | Since: base-2.1 |
| Show Int | Since: base-2.1 |
| Show RuntimeRep | Since: base-4.11.0.0 |
| Show VecCount | Since: base-4.11.0.0 |
| Show VecElem | Since: base-4.11.0.0 |
| Show Word | Since: base-2.1 |
| Show a => Show (ZipList a) | Since: base-4.7.0.0 |
| Show a => Show (Complex a) | Since: base-2.1 |
| Show a => Show (Identity a) | This instance would be equivalent to the derived instances of the
Since: base-4.8.0.0 |
| Show a => Show (Down a) | This instance would be equivalent to the derived instances of the
Since: base-4.7.0.0 |
| Show a => Show (First a) | Since: base-4.9.0.0 |
| Show a => Show (Last a) | Since: base-4.9.0.0 |
| Show a => Show (Max a) | Since: base-4.9.0.0 |
| Show a => Show (Min a) | Since: base-4.9.0.0 |
| Show a => Show (Option a) | Since: base-4.9.0.0 |
| Show m => Show (WrappedMonoid m) | Since: base-4.9.0.0 |
Defined in Data.Semigroup | |
| Show a => Show (NonEmpty a) | Since: base-4.11.0.0 |
| Show (ForeignPtr a) | Since: base-2.1 |
Defined in GHC.ForeignPtr | |
| Show p => Show (Par1 p) | Since: base-4.7.0.0 |
| Show (FunPtr a) | Since: base-2.1 |
| Show (Ptr a) | Since: base-2.1 |
| Show a => Show (Ratio a) | Since: base-2.0.1 |
| Show a => Show (IntMap a) | |
| Show a => Show (Seq a) | |
| Show a => Show (ViewL a) | |
| Show a => Show (ViewR a) | |
| Show a => Show (Set a) | |
| Show a => Show (Tree a) | |
| Show a => Show (DList a) | |
| Show a => Show (Hashed a) | |
| Show mono => Show (NonNull mono) | |
| Show a => Show (AnnotDetails a) | |
Defined in Text.PrettyPrint.Annotated.HughesPJ | |
| Show (Doc a) | |
| Show a => Show (Span a) | |
| Show a => Show (Array a) | |
| (Show a, Prim a) => Show (PrimArray a) | Since: primitive-0.6.4.0 |
| Show a => Show (SmallArray a) | |
Defined in Data.Primitive.SmallArray | |
| Show flag => Show (TyVarBndr flag) | |
| Show (Memoized a) | |
| Show a => Show (HashSet a) | |
| Show a => Show (Vector a) | |
| (Show a, Prim a) => Show (Vector a) | |
| (Show a, Storable a) => Show (Vector a) | |
| Show a => Show (Maybe a) | Since: base-2.1 |
| Show a => Show (a) | Since: base-4.15 |
| Show a => Show [a] | Since: base-2.1 |
| (Show a, Show b) => Show (Either a b) | Since: base-3.0 |
| HasResolution a => Show (Fixed a) | Since: base-2.1 |
| Show (Proxy s) | Since: base-4.7.0.0 |
| (Show a, Show b) => Show (Arg a b) | Since: base-4.9.0.0 |
| Show (TypeRep a) | |
| Show (U1 p) | Since: base-4.9.0.0 |
| Show (V1 p) | Since: base-4.9.0.0 |
| Show (ST s a) | Since: base-2.1 |
| (Show k, Show a) => Show (Map k a) | |
| (Show1 f, Show a) => Show (Cofree f a) | |
| (Show1 f, Show a) => Show (Free f a) | |
| (Show1 m, Show a) => Show (ListT m a) | |
| (Show1 m, Show a) => Show (MaybeT m a) | |
| (Show k, Show v) => Show (HashMap k v) | |
| (Show a, Show b) => Show (a, b) | Since: base-2.1 |
| Show a => Show (Const a b) | This instance would be equivalent to the derived instances of the
Since: base-4.8.0.0 |
| Show (f p) => Show (Rec1 f p) | Since: base-4.7.0.0 |
| Show (URec Char p) | Since: base-4.9.0.0 |
| Show (URec Double p) | Since: base-4.9.0.0 |
| Show (URec Float p) | |
| Show (URec Int p) | Since: base-4.9.0.0 |
| Show (URec Word p) | Since: base-4.9.0.0 |
| Show (p a a) => Show (Join p a) | |
| (Show a, Show (f b)) => Show (FreeF f a b) | |
| (Show1 f, Show1 m, Show a) => Show (FreeT f m a) | |
| Show b => Show (Tagged s b) | |
| (Show e, Show1 m, Show a) => Show (ErrorT e m a) | |
| (Show1 f, Show a) => Show (IdentityT f a) | |
| (Show w, Show1 m, Show a) => Show (WriterT w m a) | |
| (Show w, Show1 m, Show a) => Show (WriterT w m a) | |
| (Show a, Show b, Show c) => Show (a, b, c) | Since: base-2.1 |
| (Show1 f, Show1 g, Show a) => Show (Product f g a) | Since: base-4.9.0.0 |
| (Show1 f, Show1 g, Show a) => Show (Sum f g a) | Since: base-4.9.0.0 |
| (Show (f p), Show (g p)) => Show ((f :*: g) p) | Since: base-4.7.0.0 |
| (Show (f p), Show (g p)) => Show ((f :+: g) p) | Since: base-4.7.0.0 |
| Show c => Show (K1 i c p) | Since: base-4.7.0.0 |
| (Show a, Show b, Show c, Show d) => Show (a, b, c, d) | Since: base-2.1 |
| (Show1 f, Show1 g, Show a) => Show (Compose f g a) | Since: base-4.9.0.0 |
| Show (f (g p)) => Show ((f :.: g) p) | Since: base-4.7.0.0 |
| Show (f p) => Show (M1 i c f p) | Since: base-4.7.0.0 |
| Show (f a) => Show (Clown f a b) | |
| Show (p b a) => Show (Flip p a b) | |
| Show (g b) => Show (Joker g a b) | |
| Show (p a b) => Show (WrappedBifunctor p a b) | |
Defined in Data.Bifunctor.Wrapped | |
| (Show a, Show b, Show c, Show d, Show e) => Show (a, b, c, d, e) | Since: base-2.1 |
| (Show (f a b), Show (g a b)) => Show (Product f g a b) | |
| (Show (p a b), Show (q a b)) => Show (Sum p q a b) | |
| (Show a, Show b, Show c, Show d, Show e, Show f) => Show (a, b, c, d, e, f) | Since: base-2.1 |
| Show (f (p a b)) => Show (Tannen f p a b) | |
| (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 |
| (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 |
| Show (p (f a) (g b)) => Show (Biff p f g a b) | |
| (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 |
| (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 |
| (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 |
| (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 |
| (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 |
| (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 |
| (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 |
Case conversion
charToLower :: Char -> Char Source #
Convert a character to lower case.
Character-based case conversion is lossy in comparison to string-based toLower.
For instance, İ will be converted to i, instead of i̇.
charToUpper :: Char -> Char Source #
Convert a character to upper case.
Character-based case conversion is lossy in comparison to string-based toUpper.
For instance, ß won't be converted to SS.
IO
readFile :: MonadIO m => FilePath -> m ByteString Source #
Strictly read a file into a ByteString.
Since: 1.2.0
readFileUtf8 :: MonadIO m => FilePath -> m Text Source #
Strictly read a file into a Text using a UTF-8 character
encoding. In the event of a character encoding error, a Unicode
replacement character will be used (a.k.a., lenientDecode).
Since: 1.2.0
writeFile :: MonadIO m => FilePath -> ByteString -> m () Source #
Write a ByteString to a file.
Since: 1.2.0
writeFileUtf8 :: MonadIO m => FilePath -> Text -> m () Source #
Write a Text to a file using a UTF-8 character encoding.
Since: 1.2.0
hGetContents :: MonadIO m => Handle -> m ByteString Source #
Strictly read the contents of the given Handle into a
ByteString.
Since: 1.2.0
hPut :: MonadIO m => Handle -> ByteString -> m () Source #
Write a ByteString to the given Handle.
Since: 1.2.0
hGetChunk :: MonadIO m => Handle -> m ByteString Source #
Read a single chunk of data as a ByteString from the given
Handle.
Under the surface, this uses hGetSome with the
default chunk size.
Since: 1.2.0
putChar :: MonadIO m => Char -> m () Source #
Write a character to stdout
Uses system locale settings
Since: 1.3.1
putStr :: MonadIO m => Text -> m () Source #
Write a Text to stdout
Uses system locale settings
Since: 1.3.1
putStrLn :: MonadIO m => Text -> m () Source #
Write a Text followed by a newline to stdout
Uses system locale settings
Since: 1.3.1
getChar :: MonadIO m => m Char Source #
Read a character from stdin
Uses system locale settings
Since: 1.3.1
getLine :: MonadIO m => m Text Source #
Read a line from stdin
Uses system locale settings
Since: 1.3.1
getContents :: MonadIO m => m LText Source #
interact :: MonadIO m => (LText -> LText) -> m () Source #
Takes a function of type 'LText -> LText' and passes all input on stdin to it, then prints result to stdout
Uses lazy IO Uses system locale settings
Since: 1.3.1
Difference lists
A difference list is an abstraction representing a list that
supports \(\mathcal{O}\)(1) append and snoc operations, making it
useful for replacing frequent applications of ++ such as logging and pretty
printing (esp. if those uses of ++ are left-nested).
Instances
applyDList :: DList a -> [a] -> [a] Source #
Synonym for apply
Since 0.11.0
Exceptions
A class of types that can be fully evaluated.
Since: deepseq-1.1.0.0
Minimal complete definition
Nothing
Methods
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 ColourStarting 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
rnfa =seqa ()
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 All | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData Any | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData TypeRep | NOTE: Prior to Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData Unique | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData Version | Since: deepseq-1.3.0.0 |
Defined in Control.DeepSeq | |
| NFData Void | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CBool | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData CChar | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CClock | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CDouble | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CFile | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CFloat | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CFpos | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CInt | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CIntMax | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CIntPtr | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CJmpBuf | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CLLong | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CLong | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CPtrdiff | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CSChar | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CSUSeconds | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq Methods rnf :: CSUSeconds -> () Source # | |
| NFData CShort | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CSigAtomic | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq Methods rnf :: CSigAtomic -> () Source # | |
| NFData CSize | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CTime | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CUChar | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CUInt | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CUIntMax | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CUIntPtr | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CULLong | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CULong | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CUSeconds | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CUShort | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CWchar | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData ThreadId | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData Fingerprint | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq Methods rnf :: Fingerprint -> () Source # | |
| NFData MaskingState | Since: deepseq-1.4.4.0 |
Defined in Control.DeepSeq Methods rnf :: MaskingState -> () Source # | |
| NFData ExitCode | Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| NFData Int16 | |
Defined in Control.DeepSeq | |
| NFData Int32 | |
Defined in Control.DeepSeq | |
| NFData Int64 | |
Defined in Control.DeepSeq | |
| NFData Int8 | |
Defined in Control.DeepSeq | |
| NFData CallStack | Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| NFData SrcLoc | Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| NFData Word16 | |
Defined in Control.DeepSeq | |
| NFData Word32 | |
Defined in Control.DeepSeq | |
| NFData Word64 | |
Defined in Control.DeepSeq | |
| NFData ByteString | |
Defined in Data.ByteString.Internal Methods rnf :: ByteString -> () Source # | |
| NFData ByteString | |
Defined in Data.ByteString.Lazy.Internal Methods rnf :: ByteString -> () Source # | |
| NFData ShortByteString | |
Defined in Data.ByteString.Short.Internal Methods rnf :: ShortByteString -> () Source # | |
| NFData IntSet | |
Defined in Data.IntSet.Internal | |
| NFData Ordering | |
Defined in Control.DeepSeq | |
| NFData TyCon | NOTE: Prior to Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData TextDetails | |
Defined in Text.PrettyPrint.Annotated.HughesPJ Methods rnf :: TextDetails -> () Source # | |
| NFData Doc | |
Defined in Text.PrettyPrint.HughesPJ | |
| NFData ByteArray | |
Defined in Data.Primitive.ByteArray | |
| NFData Day | |
Defined in Data.Time.Calendar.Days | |
| NFData DiffTime | |
Defined in Data.Time.Clock.Internal.DiffTime | |
| NFData UTCTime | |
Defined in Data.Time.Clock.Internal.UTCTime | |
| NFData LocalTime | |
Defined in Data.Time.LocalTime.Internal.LocalTime | |
| NFData ZonedTime | |
Defined in Data.Time.LocalTime.Internal.ZonedTime | |
| NFData Word8 | |
Defined in Control.DeepSeq | |
| NFData Integer | |
Defined in Control.DeepSeq | |
| NFData Natural | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData () | |
Defined in Control.DeepSeq | |
| NFData Bool | |
Defined in Control.DeepSeq | |
| NFData Char | |
Defined in Control.DeepSeq | |
| NFData Double | |
Defined in Control.DeepSeq | |
| NFData Float | |
Defined in Control.DeepSeq | |
| NFData Int | |
Defined in Control.DeepSeq | |
| NFData Word | |
Defined in Control.DeepSeq | |
| NFData a => NFData (ZipList a) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData (Complex a) | |
Defined in Control.DeepSeq | |
| NFData a => NFData (Identity a) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData (First a) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData (Last a) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData (Down a) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData (First a) | Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData (Last a) | Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData (Max a) | Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData (Min a) | Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData (Option a) | Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| NFData m => NFData (WrappedMonoid m) | Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq Methods rnf :: WrappedMonoid m -> () Source # | |
| NFData a => NFData (Dual a) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData (Product a) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData (Sum a) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData (NonEmpty a) | Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| NFData (IORef a) | NOTE: Only strict in the reference and not the referenced value. Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| NFData (MVar a) | NOTE: Only strict in the reference and not the referenced value. Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| NFData (FunPtr a) | Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| NFData (Ptr a) | Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData (Ratio a) | |
Defined in Control.DeepSeq | |
| NFData (StableName a) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq Methods rnf :: StableName a -> () Source # | |
| NFData a => NFData (IntMap a) | |
Defined in Data.IntMap.Internal | |
| NFData a => NFData (Digit a) | |
Defined in Data.Sequence.Internal | |
| NFData a => NFData (Elem a) | |
Defined in Data.Sequence.Internal | |
| NFData a => NFData (FingerTree a) | |
Defined in Data.Sequence.Internal Methods rnf :: FingerTree a -> () Source # | |
| NFData a => NFData (Node a) | |
Defined in Data.Sequence.Internal | |
| NFData a => NFData (Seq a) | |
Defined in Data.Sequence.Internal | |
| NFData a => NFData (Set a) | |
Defined in Data.Set.Internal | |
| NFData a => NFData (Tree a) | |
| NFData a => NFData (DList a) | |
Defined in Data.DList.Internal | |
| NFData a => NFData (Hashed a) | |
Defined in Data.Hashable.Class | |
| NFData a => NFData (AnnotDetails a) | |
Defined in Text.PrettyPrint.Annotated.HughesPJ Methods rnf :: AnnotDetails a -> () Source # | |
| NFData a => NFData (Doc a) | |
Defined in Text.PrettyPrint.Annotated.HughesPJ | |
| NFData a => NFData (Array a) | |
Defined in Data.Primitive.Array | |
| NFData (MutableByteArray s) | |
Defined in Data.Primitive.ByteArray Methods rnf :: MutableByteArray s -> () Source # | |
| NFData (PrimArray a) | |
Defined in Data.Primitive.PrimArray | |
| NFData a => NFData (SmallArray a) | |
Defined in Data.Primitive.SmallArray Methods rnf :: SmallArray a -> () Source # | |
| NFData a => NFData (HashSet a) | |
Defined in Data.HashSet.Internal | |
| NFData a => NFData (Vector a) | |
Defined in Data.Vector | |
| NFData (Vector a) | |
Defined in Data.Vector.Primitive | |
| NFData (Vector a) | |
Defined in Data.Vector.Storable | |
| NFData (Vector a) | |
Defined in Data.Vector.Unboxed.Base | |
| NFData a => NFData (Maybe a) | |
Defined in Control.DeepSeq | |
| NFData a => NFData [a] | |
Defined in Control.DeepSeq | |
| (NFData a, NFData b) => NFData (Either a b) | |
Defined in Control.DeepSeq | |
| NFData (Fixed a) | Since: deepseq-1.3.0.0 |
Defined in Control.DeepSeq | |
| NFData (Proxy a) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| (NFData a, NFData b) => NFData (Arg a b) | Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| (NFData a, NFData b) => NFData (Array a b) | |
Defined in Control.DeepSeq | |
| NFData (STRef s a) | NOTE: Only strict in the reference and not the referenced value. Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| (NFData k, NFData a) => NFData (Map k a) | |
Defined in Data.Map.Internal | |
| NFData (MutablePrimArray s a) | |
Defined in Data.Primitive.PrimArray Methods rnf :: MutablePrimArray s a -> () Source # | |
| (NFData k, NFData v) => NFData (HashMap k v) | |
Defined in Data.HashMap.Internal | |
| (NFData k, NFData v) => NFData (Leaf k v) | |
Defined in Data.HashMap.Internal | |
| NFData (MVector s a) | |
Defined in Data.Vector.Unboxed.Base | |
| NFData (a -> b) | This instance is for convenience and consistency with Since: deepseq-1.3.0.0 |
Defined in Control.DeepSeq | |
| (NFData a, NFData b) => NFData (a, b) | |
Defined in Control.DeepSeq | |
| NFData a => NFData (Const a b) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData (a :~: b) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData b => NFData (Tagged s b) | |
Defined in Data.Tagged | |
| (NFData a1, NFData a2, NFData a3) => NFData (a1, a2, a3) | |
Defined in Control.DeepSeq | |
| (NFData1 f, NFData1 g, NFData a) => NFData (Product f g a) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| (NFData1 f, NFData1 g, NFData a) => NFData (Sum f g a) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData (a :~~: b) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| (NFData a1, NFData a2, NFData a3, NFData a4) => NFData (a1, a2, a3, a4) | |
Defined in Control.DeepSeq | |
| (NFData1 f, NFData1 g, NFData a) => NFData (Compose f g a) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| (NFData a1, NFData a2, NFData a3, NFData a4, NFData a5) => NFData (a1, a2, a3, a4, a5) | |
Defined in Control.DeepSeq | |
| (NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6) => NFData (a1, a2, a3, a4, a5, a6) | |
Defined in Control.DeepSeq | |
| (NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6, NFData a7) => NFData (a1, a2, a3, a4, a5, a6, a7) | |
Defined in Control.DeepSeq | |
| (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) | |
Defined in Control.DeepSeq | |
| (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) | |
Defined in Control.DeepSeq | |
force :: NFData a => a -> a Source #
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 hSince: deepseq-1.2.0.0
deepseq :: NFData a => a -> b -> b Source #
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
($!!) :: NFData a => (a -> b) -> a -> b infixr 0 Source #
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
Force types
Helper functions for situations where type inferer gets confused.
asByteString :: ByteString -> ByteString Source #