| Safe Haskell | None |
|---|---|
| Language | Haskell2010 |
CorePrelude
Synopsis
- ($) :: (a -> b) -> a -> b
- ($!) :: (a -> b) -> a -> b
- (&&) :: Bool -> Bool -> Bool
- (||) :: Bool -> Bool -> Bool
- (.) :: forall (b :: k) (c :: k) (a :: k). Category cat => cat b c -> cat a b -> cat a c
- not :: Bool -> Bool
- otherwise :: Bool
- fst :: (a, b) -> a
- snd :: (a, b) -> b
- id :: forall (a :: k). Category cat => cat a a
- maybe :: b -> (a -> b) -> Maybe a -> b
- either :: (a -> c) -> (b -> c) -> Either a b -> c
- flip :: (a -> b -> c) -> b -> a -> c
- const :: a -> b -> a
- error :: HasCallStack => [Char] -> a
- putStr :: MonadIO m => Text -> m ()
- putStrLn :: MonadIO m => Text -> m ()
- print :: (MonadIO m, Show a) => a -> m ()
- getArgs :: MonadIO m => m [Text]
- terror :: HasCallStack => Text -> a
- odd :: Integral a => a -> Bool
- even :: Integral a => a -> Bool
- uncurry :: (a -> b -> c) -> (a, b) -> c
- curry :: ((a, b) -> c) -> a -> b -> c
- swap :: (a, b) -> (b, a)
- until :: (a -> Bool) -> (a -> a) -> a -> a
- asTypeOf :: a -> a -> a
- undefined :: HasCallStack => a
- seq :: a -> b -> b
- class Eq a => Ord a where
- class Eq a where
- 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 Show a
- class Read a
- class Functor (f :: Type -> Type) where
- class Applicative m => Monad (m :: Type -> Type) where
- (=<<) :: Monad m => (a -> m b) -> m a -> m b
- class IsString a where
- fromString :: String -> a
- class Num a where
- class (Num a, Ord a) => Real a where
- toRational :: a -> Rational
- class (Real a, Enum a) => Integral a where
- class Num a => Fractional a where
- (/) :: a -> a -> a
- recip :: a -> a
- fromRational :: Rational -> a
- class Fractional a => Floating a where
- class (Real a, Fractional a) => RealFrac a where
- 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
- data Maybe a
- data Ordering
- data Bool
- data Char
- data IO a
- data Either a b
- data ByteString
- type LByteString = ByteString
- data Text
- type LText = Text
- data Map k a
- data HashMap k v
- data IntMap a
- data Set a
- data HashSet a
- data IntSet
- data Seq a
- data Vector a
- type UVector = Vector
- class (Vector Vector a, MVector MVector a) => Unbox a
- type SVector = Vector
- class Storable a
- class Eq a => Hashable a
- data Word
- data Word8
- data Word32
- data Word64
- data Int
- data Int32
- data Int64
- data Integer
- type Rational = Ratio Integer
- data Float
- data Double
- (^) :: (Num a, Integral b) => a -> b -> a
- (^^) :: (Fractional a, Integral b) => a -> b -> a
- subtract :: Num a => a -> a -> a
- fromIntegral :: (Integral a, Num b) => a -> b
- realToFrac :: (Real a, Fractional b) => a -> b
- class Semigroup a => Monoid a where
- (<>) :: Semigroup a => a -> a -> a
- class Foldable (t :: Type -> Type)
- asum :: (Foldable t, Alternative f) => t (f a) -> f a
- class (Functor t, Foldable t) => Traversable (t :: Type -> Type)
- first :: Arrow a => a b c -> a (b, d) (c, d)
- second :: Arrow a => a b c -> a (d, b) (d, 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')
- bool :: a -> a -> Bool -> a
- mapMaybe :: (a -> Maybe b) -> [a] -> [b]
- catMaybes :: [Maybe a] -> [a]
- fromMaybe :: a -> Maybe a -> a
- isJust :: Maybe a -> Bool
- isNothing :: Maybe a -> Bool
- listToMaybe :: [a] -> Maybe a
- maybeToList :: Maybe a -> [a]
- partitionEithers :: [Either a b] -> ([a], [b])
- lefts :: [Either a b] -> [a]
- rights :: [Either a b] -> [b]
- on :: (b -> b -> c) -> (a -> b) -> a -> a -> c
- comparing :: Ord a => (b -> a) -> b -> b -> Ordering
- equating :: Eq a => (b -> a) -> b -> b -> Bool
- newtype Down a = Down {
- getDown :: a
- class Functor f => Applicative (f :: Type -> Type) where
- (<$>) :: Functor f => (a -> b) -> f a -> f b
- (<|>) :: Alternative f => f a -> f a -> f a
- (>=>) :: Monad m => (a -> m b) -> (b -> m c) -> a -> m c
- lift :: (MonadTrans t, Monad m) => m a -> t m a
- class Monad m => MonadIO (m :: Type -> Type)
- liftIO :: MonadIO m => IO a -> m a
- class (Typeable e, Show e) => Exception e where
- toException :: e -> SomeException
- fromException :: SomeException -> Maybe e
- displayException :: e -> String
- backtraceDesired :: e -> Bool
- class Typeable (a :: k)
- data SomeException
- data IOException
- module System.IO.Error
- type FilePath = String
- (</>) :: FilePath -> FilePath -> FilePath
- (<.>) :: FilePath -> String -> FilePath
- type String = [Char]
- hash :: Hashable a => a -> Int
- hashWithSalt :: Hashable a => Int -> a -> Int
Standard
Operators
($) :: (a -> b) -> a -> b infixr 0 Source #
is the function application operator.($)
Applying to a function ($)f and an argument x gives the same result as applying f to x directly. The definition is akin to this:
($) :: (a -> b) -> a -> b ($) f x = f x
This is specialized from ida -> a to (a -> b) -> (a -> b) which by the associativity of (->)
is the same as (a -> b) -> a -> b.
On the face of it, this may appear pointless! But it's actually one of the most useful and important operators in Haskell.
The order of operations is very different between ($) and normal function application. Normal function application has precedence 10 - higher than any operator - and associates to the left. So these two definitions are equivalent:
expr = min 5 1 + 5 expr = ((min 5) 1) + 5
($) has precedence 0 (the lowest) and associates to the right, so these are equivalent:
expr = min 5 $ 1 + 5 expr = (min 5) (1 + 5)
Examples
A common use cases of ($) is to avoid parentheses in complex expressions.
For example, instead of using nested parentheses in the following Haskell function:
-- | Sum numbers in a string: strSum "100 5 -7" == 98 strSum ::String->IntstrSum s =sum(mapMaybereadMaybe(wordss))
we can deploy the function application operator:
-- | Sum numbers in a string: strSum "100 5 -7" == 98 strSum ::String->IntstrSum s =sum$mapMaybereadMaybe$wordss
($) is also used as a section (a partially applied operator), in order to indicate that we wish to apply some yet-unspecified function to a given value. For example, to apply the argument 5 to a list of functions:
applyFive :: [Int] applyFive = map ($ 5) [(+1), (2^)] >>> [6, 32]
Technical Remark (Representation Polymorphism)
($) is fully representation-polymorphic. This allows it to also be used with arguments of unlifted and even unboxed kinds, such as unboxed integers:
fastMod :: Int -> Int -> Int fastMod (I# x) (I# m) = I# $ remInt# x m
($!) :: (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.
(.) :: forall (b :: k) (c :: k) (a :: k). Category cat => cat b c -> cat a b -> cat a c infixr 9 Source #
morphism composition
Functions
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 GHC.Internal.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""
either :: (a -> c) -> (b -> c) -> Either a b -> c Source #
Case analysis for the Either type.
If the value is , apply the first function to Left aa;
if it is , apply the second function to Right bb.
Examples
We create two values of type , one using the
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
flip :: (a -> b -> c) -> b -> a -> c Source #
takes its (first) two arguments in the reverse order of flip ff.
flip f x y = f y x
flip . flip = id
Examples
>>>flip (++) "hello" "world""worldhello"
>>>let (.>) = flip (.) in (+1) .> show $ 5"6"
const x y always evaluates to x, ignoring its second argument.
const x = \_ -> x
This function might seem useless at first glance, but it can be very useful in a higher order context.
Examples
>>>const 42 "hello"42
>>>map (const 42) [0..3][42,42,42,42]
terror :: HasCallStack => Text -> a Source #
error applied to Text
Since 0.4.1
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]
curry :: ((a, b) -> c) -> a -> b -> c Source #
Convert an uncurried function to a curried function.
Examples
>>>curry fst 1 21
until :: (a -> Bool) -> (a -> a) -> a -> a Source #
yields the result of applying until p ff until p holds.
undefined :: HasCallStack => a Source #
seq :: a -> b -> b infixr 0 Source #
The value of is bottom if seq a ba 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 does
not guarantee that seq a ba 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.
Type classes
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.
Ord, as defined by the Haskell report, implements a total order and has the
following properties:
- Comparability
x <= y || y <= x=True- Transitivity
- if
x <= y && y <= z=True, thenx <= z=True - Reflexivity
x <= x=True- Antisymmetry
- if
x <= y && y <= x=True, thenx == y=True
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
| Ord ByteArray | Non-lexicographic ordering. This compares the lengths of the byte arrays first and uses a lexicographic ordering if the lengths are equal. Subject to change between major versions. Since: base-4.17.0.0 |
Defined in Data.Array.Byte | |
| Ord ByteString | |
Defined in Data.ByteString.Internal.Type Methods compare :: ByteString -> ByteString -> Ordering Source # (<) :: ByteString -> ByteString -> Bool Source # (<=) :: ByteString -> ByteString -> Bool Source # (>) :: ByteString -> ByteString -> Bool Source # (>=) :: ByteString -> ByteString -> Bool Source # max :: ByteString -> ByteString -> ByteString Source # min :: ByteString -> ByteString -> ByteString Source # | |
| Ord ByteString | |
Defined in Data.ByteString.Lazy.Internal Methods compare :: ByteString -> ByteString -> Ordering Source # (<) :: ByteString -> ByteString -> Bool Source # (<=) :: ByteString -> ByteString -> Bool Source # (>) :: ByteString -> ByteString -> Bool Source # (>=) :: ByteString -> ByteString -> Bool Source # max :: ByteString -> ByteString -> ByteString Source # min :: ByteString -> ByteString -> ByteString Source # | |
| Ord ShortByteString | Lexicographic order. |
Defined in Data.ByteString.Short.Internal Methods compare :: ShortByteString -> ShortByteString -> Ordering Source # (<) :: ShortByteString -> ShortByteString -> Bool Source # (<=) :: ShortByteString -> ShortByteString -> Bool Source # (>) :: ShortByteString -> ShortByteString -> Bool Source # (>=) :: ShortByteString -> ShortByteString -> Bool Source # max :: ShortByteString -> ShortByteString -> ShortByteString Source # min :: ShortByteString -> ShortByteString -> ShortByteString Source # | |
| Ord IntSet | |
| Ord BigNat | |
| Ord Void | Since: base-4.8.0.0 |
| Ord ByteOrder | Since: base-4.11.0.0 |
Defined in GHC.Internal.ByteOrder | |
| Ord SomeTypeRep | |
Defined in GHC.Internal.Data.Typeable.Internal Methods compare :: SomeTypeRep -> SomeTypeRep -> Ordering Source # (<) :: SomeTypeRep -> SomeTypeRep -> Bool Source # (<=) :: SomeTypeRep -> SomeTypeRep -> Bool Source # (>) :: SomeTypeRep -> SomeTypeRep -> Bool Source # (>=) :: SomeTypeRep -> SomeTypeRep -> Bool Source # max :: SomeTypeRep -> SomeTypeRep -> SomeTypeRep Source # min :: SomeTypeRep -> SomeTypeRep -> SomeTypeRep Source # | |
| Ord Version | Since: base-2.1 |
Defined in GHC.Internal.Data.Version | |
| Ord ArithException | Since: base-3.0 |
Defined in GHC.Internal.Exception.Type Methods compare :: ArithException -> ArithException -> Ordering Source # (<) :: ArithException -> ArithException -> Bool Source # (<=) :: ArithException -> ArithException -> Bool Source # (>) :: ArithException -> ArithException -> Bool Source # (>=) :: ArithException -> ArithException -> Bool Source # max :: ArithException -> ArithException -> ArithException Source # min :: ArithException -> ArithException -> ArithException Source # | |
| Ord CBool | |
Defined in GHC.Internal.Foreign.C.Types | |
| Ord CChar | |
Defined in GHC.Internal.Foreign.C.Types | |
| Ord CClock | |
| Ord CDouble | |
Defined in GHC.Internal.Foreign.C.Types | |
| Ord CFloat | |
| Ord CInt | |
Defined in GHC.Internal.Foreign.C.Types | |
| Ord CIntMax | |
Defined in GHC.Internal.Foreign.C.Types | |
| Ord CIntPtr | |
Defined in GHC.Internal.Foreign.C.Types | |
| Ord CLLong | |
| Ord CLong | |
Defined in GHC.Internal.Foreign.C.Types | |
| Ord CPtrdiff | |
Defined in GHC.Internal.Foreign.C.Types | |
| Ord CSChar | |
| Ord CSUSeconds | |
Defined in GHC.Internal.Foreign.C.Types Methods compare :: CSUSeconds -> CSUSeconds -> Ordering Source # (<) :: CSUSeconds -> CSUSeconds -> Bool Source # (<=) :: CSUSeconds -> CSUSeconds -> Bool Source # (>) :: CSUSeconds -> CSUSeconds -> Bool Source # (>=) :: CSUSeconds -> CSUSeconds -> Bool Source # max :: CSUSeconds -> CSUSeconds -> CSUSeconds Source # min :: CSUSeconds -> CSUSeconds -> CSUSeconds Source # | |
| Ord CShort | |
| Ord CSigAtomic | |
Defined in GHC.Internal.Foreign.C.Types Methods compare :: CSigAtomic -> CSigAtomic -> Ordering Source # (<) :: CSigAtomic -> CSigAtomic -> Bool Source # (<=) :: CSigAtomic -> CSigAtomic -> Bool Source # (>) :: CSigAtomic -> CSigAtomic -> Bool Source # (>=) :: CSigAtomic -> CSigAtomic -> Bool Source # max :: CSigAtomic -> CSigAtomic -> CSigAtomic Source # min :: CSigAtomic -> CSigAtomic -> CSigAtomic Source # | |
| Ord CSize | |
Defined in GHC.Internal.Foreign.C.Types | |
| Ord CTime | |
Defined in GHC.Internal.Foreign.C.Types | |
| Ord CUChar | |
| Ord CUInt | |
Defined in GHC.Internal.Foreign.C.Types | |
| Ord CUIntMax | |
Defined in GHC.Internal.Foreign.C.Types | |
| Ord CUIntPtr | |
Defined in GHC.Internal.Foreign.C.Types | |
| Ord CULLong | |
Defined in GHC.Internal.Foreign.C.Types | |
| Ord CULong | |
| Ord CUSeconds | |
Defined in GHC.Internal.Foreign.C.Types | |
| Ord CUShort | |
Defined in GHC.Internal.Foreign.C.Types | |
| Ord CWchar | |
| Ord Associativity | Since: base-4.6.0.0 |
Defined in GHC.Internal.Generics Methods compare :: Associativity -> Associativity -> Ordering Source # (<) :: Associativity -> Associativity -> Bool Source # (<=) :: Associativity -> Associativity -> Bool Source # (>) :: Associativity -> Associativity -> Bool Source # (>=) :: Associativity -> Associativity -> Bool Source # max :: Associativity -> Associativity -> Associativity Source # min :: Associativity -> Associativity -> Associativity Source # | |
| Ord DecidedStrictness | Since: base-4.9.0.0 |
Defined in GHC.Internal.Generics Methods compare :: DecidedStrictness -> DecidedStrictness -> Ordering Source # (<) :: DecidedStrictness -> DecidedStrictness -> Bool Source # (<=) :: DecidedStrictness -> DecidedStrictness -> Bool Source # (>) :: DecidedStrictness -> DecidedStrictness -> Bool Source # (>=) :: DecidedStrictness -> DecidedStrictness -> Bool Source # max :: DecidedStrictness -> DecidedStrictness -> DecidedStrictness Source # min :: DecidedStrictness -> DecidedStrictness -> DecidedStrictness Source # | |
| Ord Fixity | Since: base-4.6.0.0 |
| Ord SourceStrictness | Since: base-4.9.0.0 |
Defined in GHC.Internal.Generics Methods compare :: SourceStrictness -> SourceStrictness -> Ordering Source # (<) :: SourceStrictness -> SourceStrictness -> Bool Source # (<=) :: SourceStrictness -> SourceStrictness -> Bool Source # (>) :: SourceStrictness -> SourceStrictness -> Bool Source # (>=) :: SourceStrictness -> SourceStrictness -> Bool Source # max :: SourceStrictness -> SourceStrictness -> SourceStrictness Source # min :: SourceStrictness -> SourceStrictness -> SourceStrictness Source # | |
| Ord SourceUnpackedness | Since: base-4.9.0.0 |
Defined in GHC.Internal.Generics Methods compare :: SourceUnpackedness -> SourceUnpackedness -> Ordering Source # (<) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source # (<=) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source # (>) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source # (>=) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source # max :: SourceUnpackedness -> SourceUnpackedness -> SourceUnpackedness Source # min :: SourceUnpackedness -> SourceUnpackedness -> SourceUnpackedness Source # | |
| Ord ArrayException | Since: base-4.2.0.0 |
Defined in GHC.Internal.IO.Exception Methods compare :: ArrayException -> ArrayException -> Ordering Source # (<) :: ArrayException -> ArrayException -> Bool Source # (<=) :: ArrayException -> ArrayException -> Bool Source # (>) :: ArrayException -> ArrayException -> Bool Source # (>=) :: ArrayException -> ArrayException -> Bool Source # max :: ArrayException -> ArrayException -> ArrayException Source # min :: ArrayException -> ArrayException -> ArrayException Source # | |
| Ord AsyncException | Since: base-4.2.0.0 |
Defined in GHC.Internal.IO.Exception Methods compare :: AsyncException -> AsyncException -> Ordering Source # (<) :: AsyncException -> AsyncException -> Bool Source # (<=) :: AsyncException -> AsyncException -> Bool Source # (>) :: AsyncException -> AsyncException -> Bool Source # (>=) :: AsyncException -> AsyncException -> Bool Source # max :: AsyncException -> AsyncException -> AsyncException Source # min :: AsyncException -> AsyncException -> AsyncException Source # | |
| Ord ExitCode | |
Defined in GHC.Internal.IO.Exception | |
| Ord BufferMode | Since: base-4.2.0.0 |
Defined in GHC.Internal.IO.Handle.Types Methods compare :: BufferMode -> BufferMode -> Ordering Source # (<) :: BufferMode -> BufferMode -> Bool Source # (<=) :: BufferMode -> BufferMode -> Bool Source # (>) :: BufferMode -> BufferMode -> Bool Source # (>=) :: BufferMode -> BufferMode -> Bool Source # max :: BufferMode -> BufferMode -> BufferMode Source # min :: BufferMode -> BufferMode -> BufferMode Source # | |
| Ord Newline | Since: base-4.3.0.0 |
Defined in GHC.Internal.IO.Handle.Types | |
| Ord NewlineMode | Since: base-4.3.0.0 |
Defined in GHC.Internal.IO.Handle.Types Methods compare :: NewlineMode -> NewlineMode -> Ordering Source # (<) :: NewlineMode -> NewlineMode -> Bool Source # (<=) :: NewlineMode -> NewlineMode -> Bool Source # (>) :: NewlineMode -> NewlineMode -> Bool Source # (>=) :: NewlineMode -> NewlineMode -> Bool Source # max :: NewlineMode -> NewlineMode -> NewlineMode Source # min :: NewlineMode -> NewlineMode -> NewlineMode Source # | |
| Ord Int16 | Since: base-2.1 |
Defined in GHC.Internal.Int | |
| Ord Int32 | Since: base-2.1 |
Defined in GHC.Internal.Int | |
| Ord Int64 | Since: base-2.1 |
Defined in GHC.Internal.Int | |
| Ord Int8 | Since: base-2.1 |
| Ord Word16 | Since: base-2.1 |
| Ord Word32 | Since: base-2.1 |
| Ord Word64 | Since: base-2.1 |
| Ord Word8 | Since: base-2.1 |
Defined in GHC.Internal.Word | |
| Ord Ordering | |
Defined in GHC.Classes | |
| Ord TyCon | |
Defined in GHC.Classes | |
| Ord OsChar | Byte ordering of the internal representation. |
Defined in System.OsString.Internal.Types | |
| Ord OsString | Byte ordering of the internal representation. |
Defined in System.OsString.Internal.Types | |
| Ord PosixChar | |
Defined in System.OsString.Internal.Types | |
| Ord PosixString | |
Defined in System.OsString.Internal.Types Methods compare :: PosixString -> PosixString -> Ordering Source # (<) :: PosixString -> PosixString -> Bool Source # (<=) :: PosixString -> PosixString -> Bool Source # (>) :: PosixString -> PosixString -> Bool Source # (>=) :: PosixString -> PosixString -> Bool Source # max :: PosixString -> PosixString -> PosixString Source # min :: PosixString -> PosixString -> PosixString Source # | |
| Ord WindowsChar | |
Defined in System.OsString.Internal.Types Methods compare :: WindowsChar -> WindowsChar -> Ordering Source # (<) :: WindowsChar -> WindowsChar -> Bool Source # (<=) :: WindowsChar -> WindowsChar -> Bool Source # (>) :: WindowsChar -> WindowsChar -> Bool Source # (>=) :: WindowsChar -> WindowsChar -> Bool Source # max :: WindowsChar -> WindowsChar -> WindowsChar Source # min :: WindowsChar -> WindowsChar -> WindowsChar Source # | |
| Ord WindowsString | |
Defined in System.OsString.Internal.Types Methods compare :: WindowsString -> WindowsString -> Ordering Source # (<) :: WindowsString -> WindowsString -> Bool Source # (<=) :: WindowsString -> WindowsString -> Bool Source # (>) :: WindowsString -> WindowsString -> Bool Source # (>=) :: WindowsString -> WindowsString -> Bool Source # max :: WindowsString -> WindowsString -> WindowsString Source # min :: WindowsString -> WindowsString -> WindowsString Source # | |
| Ord I8 | |
| Ord Text | |
| Ord Builder | |
Defined in Data.Text.Internal.Builder | |
| Ord Text | |
| Ord Integer | |
| Ord Natural | |
| Ord () | |
| Ord Bool | |
| Ord Char | |
| Ord Double | IEEE 754 IEEE 754-2008, section 5.11 requires that if at least one of arguments of
IEEE 754-2008, section 5.10 defines Thus, users must be extremely cautious when using Moving further, the behaviour of IEEE 754-2008 compliant |
| Ord Float | See |
Defined in GHC.Classes | |
| Ord Int | |
| Ord Word | |
| Ord a => Ord (First a) | Since: base-4.9.0.0 |
| Ord a => Ord (Last a) | Since: base-4.9.0.0 |
| Ord a => Ord (Max a) | Since: base-4.9.0.0 |
Defined in Data.Semigroup | |
| Ord a => Ord (Min a) | Since: base-4.9.0.0 |
Defined in Data.Semigroup | |
| Ord m => Ord (WrappedMonoid m) | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods compare :: WrappedMonoid m -> WrappedMonoid m -> Ordering Source # (<) :: WrappedMonoid m -> WrappedMonoid m -> Bool Source # (<=) :: WrappedMonoid m -> WrappedMonoid m -> Bool Source # (>) :: WrappedMonoid m -> WrappedMonoid m -> Bool Source # (>=) :: WrappedMonoid m -> WrappedMonoid m -> Bool Source # max :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m Source # min :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m Source # | |
| Ord a => Ord (IntMap a) | |
Defined in Data.IntMap.Internal | |
| Ord a => Ord (Seq a) | |
Defined in Data.Sequence.Internal | |
| Ord a => Ord (ViewL a) | |
Defined in Data.Sequence.Internal | |
| Ord a => Ord (ViewR a) | |
Defined in Data.Sequence.Internal | |
| Ord a => Ord (Intersection a) | |
Defined in Data.Set.Internal Methods compare :: Intersection a -> Intersection a -> Ordering Source # (<) :: Intersection a -> Intersection a -> Bool Source # (<=) :: Intersection a -> Intersection a -> Bool Source # (>) :: Intersection a -> Intersection a -> Bool Source # (>=) :: Intersection a -> Intersection a -> Bool Source # max :: Intersection a -> Intersection a -> Intersection a Source # min :: Intersection a -> Intersection a -> Intersection a Source # | |
| Ord a => Ord (Set a) | |
Defined in Data.Set.Internal | |
| Ord a => Ord (Tree a) | Since: containers-0.6.5 |
| Ord a => Ord (NonEmpty a) | Since: base-4.9.0.0 |
Defined in GHC.Internal.Base Methods compare :: NonEmpty a -> NonEmpty a -> Ordering Source # (<) :: NonEmpty a -> NonEmpty a -> Bool Source # (<=) :: NonEmpty a -> NonEmpty a -> Bool Source # (>) :: NonEmpty a -> NonEmpty a -> Bool Source # (>=) :: NonEmpty a -> NonEmpty a -> Bool Source # | |
| Ord a => Ord (Down a) | Since: base-4.6.0.0 |
| Ord p => Ord (Par1 p) | Since: base-4.7.0.0 |
| Integral a => Ord (Ratio a) | Since: base-2.0.1 |
Defined in GHC.Internal.Real | |
| Ord a => Ord (Hashed a) | |
Defined in Data.Hashable.Class | |
| Ord a => Ord (Array a) | |
Defined in Data.Primitive.Array | |
| (Ord a, Prim a) => Ord (PrimArray a) | |
Defined in Data.Primitive.PrimArray Methods compare :: PrimArray a -> PrimArray a -> Ordering Source # (<) :: PrimArray a -> PrimArray a -> Bool Source # (<=) :: PrimArray a -> PrimArray a -> Bool Source # (>) :: PrimArray a -> PrimArray a -> Bool Source # (>=) :: PrimArray a -> PrimArray a -> Bool Source # | |
| Ord a => Ord (SmallArray a) | |
Defined in Data.Primitive.SmallArray Methods compare :: SmallArray a -> SmallArray a -> Ordering Source # (<) :: SmallArray a -> SmallArray a -> Bool Source # (<=) :: SmallArray a -> SmallArray a -> Bool Source # (>) :: SmallArray a -> SmallArray a -> Bool Source # (>=) :: SmallArray a -> SmallArray a -> Bool Source # max :: SmallArray a -> SmallArray a -> SmallArray a Source # min :: SmallArray a -> SmallArray a -> SmallArray a Source # | |
| Ord a => Ord (Stream a) | |
Defined in Data.Text.Internal.Fusion.Types | |
| Ord a => Ord (HashSet a) | |
Defined in Data.HashSet.Internal | |
| Ord a => Ord (Vector a) | |
Defined in Data.Vector | |
| (Prim a, Ord a) => Ord (Vector a) | |
Defined in Data.Vector.Primitive | |
| (Storable a, Ord a) => Ord (Vector a) | |
Defined in Data.Vector.Storable | |
| Ord a => Ord (Vector a) | |
Defined in Data.Vector.Strict | |
| (Unbox a, Ord a) => Ord (Vector a) | |
Defined in Data.Vector.Unboxed | |
| Ord a => Ord (Maybe a) | Since: base-2.1 |
Defined in GHC.Internal.Maybe | |
| Ord a => Ord (Solo a) | |
| Ord a => Ord [a] | |
| Ord (Fixed a) | Since: base-2.1 |
| Ord a => Ord (Arg a b) | Since: base-4.9.0.0 |
| (Ord k, Ord v) => Ord (Map k v) | |
Defined in Data.Map.Internal | |
| (Ord a, Ord b) => Ord (Either a b) | Since: base-2.1 |
Defined in GHC.Internal.Data.Either Methods compare :: Either a b -> Either a b -> Ordering Source # (<) :: Either a b -> Either a b -> Bool Source # (<=) :: Either a b -> Either a b -> Bool Source # (>) :: Either a b -> Either a b -> Bool Source # (>=) :: Either a b -> Either a b -> Bool Source # | |
| Ord (TypeRep a) | Since: base-4.4.0.0 |
Defined in GHC.Internal.Data.Typeable.Internal | |
| Ord (U1 p) | Since: base-4.7.0.0 |
Defined in GHC.Internal.Generics | |
| Ord (V1 p) | Since: base-4.9.0.0 |
Defined in GHC.Internal.Generics | |
| (Ord1 f, Ord a) => Ord (Lift f a) | |
Defined in Control.Applicative.Lift | |
| (Ord1 m, Ord a) => Ord (MaybeT m a) | |
Defined in Control.Monad.Trans.Maybe Methods compare :: MaybeT m a -> MaybeT m a -> Ordering Source # (<) :: MaybeT m a -> MaybeT m a -> Bool Source # (<=) :: MaybeT m a -> MaybeT m a -> Bool Source # (>) :: MaybeT m a -> MaybeT m a -> Bool Source # (>=) :: MaybeT m a -> MaybeT m a -> Bool Source # | |
| (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 # | |
| (Ord a, Ord b) => Ord (a, b) | |
| (Generic1 f, Ord (Rep1 f a)) => Ord (Generically1 f a) | Since: base-4.18.0.0 |
Defined in GHC.Internal.Generics Methods compare :: Generically1 f a -> Generically1 f a -> Ordering Source # (<) :: Generically1 f a -> Generically1 f a -> Bool Source # (<=) :: Generically1 f a -> Generically1 f a -> Bool Source # (>) :: Generically1 f a -> Generically1 f a -> Bool Source # (>=) :: Generically1 f a -> Generically1 f a -> Bool Source # max :: Generically1 f a -> Generically1 f a -> Generically1 f a Source # min :: Generically1 f a -> Generically1 f a -> Generically1 f a Source # | |
| Ord (f p) => Ord (Rec1 f p) | Since: base-4.7.0.0 |
Defined in GHC.Internal.Generics | |
| Ord (URec (Ptr ()) p) | Since: base-4.9.0.0 |
Defined in GHC.Internal.Generics Methods compare :: URec (Ptr ()) p -> URec (Ptr ()) p -> Ordering Source # (<) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool Source # (<=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool Source # (>) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool Source # (>=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool Source # max :: URec (Ptr ()) p -> URec (Ptr ()) p -> URec (Ptr ()) p Source # min :: URec (Ptr ()) p -> URec (Ptr ()) p -> URec (Ptr ()) p Source # | |
| Ord (URec Char p) | Since: base-4.9.0.0 |
Defined in GHC.Internal.Generics Methods compare :: URec Char p -> URec Char p -> Ordering Source # (<) :: URec Char p -> URec Char p -> Bool Source # (<=) :: URec Char p -> URec Char p -> Bool Source # (>) :: URec Char p -> URec Char p -> Bool Source # (>=) :: URec Char p -> URec Char p -> Bool Source # | |
| Ord (URec Double p) | Since: base-4.9.0.0 |
Defined in GHC.Internal.Generics Methods compare :: URec Double p -> URec Double p -> Ordering Source # (<) :: URec Double p -> URec Double p -> Bool Source # (<=) :: URec Double p -> URec Double p -> Bool Source # (>) :: URec Double p -> URec Double p -> Bool Source # (>=) :: URec Double p -> URec Double p -> Bool Source # max :: URec Double p -> URec Double p -> URec Double p Source # min :: URec Double p -> URec Double p -> URec Double p Source # | |
| Ord (URec Float p) | |
Defined in GHC.Internal.Generics Methods compare :: URec Float p -> URec Float p -> Ordering Source # (<) :: URec Float p -> URec Float p -> Bool Source # (<=) :: URec Float p -> URec Float p -> Bool Source # (>) :: URec Float p -> URec Float p -> Bool Source # (>=) :: URec Float p -> URec Float p -> Bool Source # max :: URec Float p -> URec Float p -> URec Float p Source # min :: URec Float p -> URec Float p -> URec Float p Source # | |
| Ord (URec Int p) | Since: base-4.9.0.0 |
Defined in GHC.Internal.Generics Methods compare :: URec Int p -> URec Int p -> Ordering Source # (<) :: URec Int p -> URec Int p -> Bool Source # (<=) :: URec Int p -> URec Int p -> Bool Source # (>) :: URec Int p -> URec Int p -> Bool Source # (>=) :: URec Int p -> URec Int p -> Bool Source # | |
| Ord (URec Word p) | Since: base-4.9.0.0 |
Defined in GHC.Internal.Generics Methods compare :: URec Word p -> URec Word p -> Ordering Source # (<) :: URec Word p -> URec Word p -> Bool Source # (<=) :: URec Word p -> URec Word p -> Bool Source # (>) :: URec Word p -> URec Word p -> Bool Source # (>=) :: URec Word p -> URec Word p -> Bool Source # | |
| (Ord1 f, Ord a) => Ord (Backwards f a) | |
Defined in Control.Applicative.Backwards Methods compare :: Backwards f a -> Backwards f a -> Ordering Source # (<) :: Backwards f a -> Backwards f a -> Bool Source # (<=) :: Backwards f a -> Backwards f a -> Bool Source # (>) :: Backwards f a -> Backwards f a -> Bool Source # (>=) :: Backwards f a -> Backwards f a -> Bool Source # max :: Backwards f a -> Backwards f a -> Backwards f a Source # min :: Backwards f a -> Backwards f a -> Backwards f a Source # | |
| (Ord e, Ord1 m, Ord a) => Ord (ExceptT e m a) | |
Defined in Control.Monad.Trans.Except Methods compare :: ExceptT e m a -> ExceptT e m a -> Ordering Source # (<) :: ExceptT e m a -> ExceptT e m a -> Bool Source # (<=) :: ExceptT e m a -> ExceptT e m a -> Bool Source # (>) :: ExceptT e m a -> ExceptT e m a -> Bool Source # (>=) :: ExceptT e m a -> ExceptT e m a -> Bool Source # max :: ExceptT e m a -> ExceptT e m a -> ExceptT e m a Source # min :: ExceptT e m a -> ExceptT e m a -> ExceptT e m a Source # | |
| (Ord1 f, Ord a) => Ord (IdentityT f a) | |
Defined in Control.Monad.Trans.Identity Methods compare :: IdentityT f a -> IdentityT f a -> Ordering Source # (<) :: IdentityT f a -> IdentityT f a -> Bool Source # (<=) :: IdentityT f a -> IdentityT f a -> Bool Source # (>) :: IdentityT f a -> IdentityT f a -> Bool Source # (>=) :: IdentityT f a -> IdentityT f a -> Bool Source # max :: IdentityT f a -> IdentityT f a -> IdentityT f a Source # min :: IdentityT f a -> IdentityT f a -> IdentityT f a Source # | |
| (Ord w, Ord1 m, Ord a) => Ord (WriterT w m a) | |
Defined in Control.Monad.Trans.Writer.Lazy Methods compare :: WriterT w m a -> WriterT w m a -> Ordering Source # (<) :: WriterT w m a -> WriterT w m a -> Bool Source # (<=) :: WriterT w m a -> WriterT w m a -> Bool Source # (>) :: WriterT w m a -> WriterT w m a -> Bool Source # (>=) :: WriterT w m a -> WriterT w m a -> Bool Source # max :: WriterT w m a -> WriterT w m a -> WriterT w m a Source # min :: WriterT w m a -> WriterT w m a -> WriterT w m a Source # | |
| (Ord w, Ord1 m, Ord a) => Ord (WriterT w m a) | |
Defined in Control.Monad.Trans.Writer.Strict Methods compare :: WriterT w m a -> WriterT w m a -> Ordering Source # (<) :: WriterT w m a -> WriterT w m a -> Bool Source # (<=) :: WriterT w m a -> WriterT w m a -> Bool Source # (>) :: WriterT w m a -> WriterT w m a -> Bool Source # (>=) :: WriterT w m a -> WriterT w m a -> Bool Source # max :: WriterT w m a -> WriterT w m a -> WriterT w m a Source # min :: WriterT w m a -> WriterT w m a -> WriterT w m a Source # | |
| Ord a => Ord (Constant a b) | |
Defined in Data.Functor.Constant Methods compare :: Constant a b -> Constant a b -> Ordering Source # (<) :: Constant a b -> Constant a b -> Bool Source # (<=) :: Constant a b -> Constant a b -> Bool Source # (>) :: Constant a b -> Constant a b -> Bool Source # (>=) :: Constant a b -> Constant a b -> Bool Source # max :: Constant a b -> Constant a b -> Constant a b Source # min :: Constant a b -> Constant a b -> Constant a b Source # | |
| (Ord1 f, Ord a) => Ord (Reverse f a) | |
Defined in Data.Functor.Reverse Methods compare :: Reverse f a -> Reverse f a -> Ordering Source # (<) :: Reverse f a -> Reverse f a -> Bool Source # (<=) :: Reverse f a -> Reverse f a -> Bool Source # (>) :: Reverse f a -> Reverse f a -> Bool Source # (>=) :: Reverse f a -> Reverse f a -> Bool Source # | |
| Ord a => Ord (Bundle Id v a) | |
Defined in Data.Vector.Fusion.Bundle Methods compare :: Bundle Id v a -> Bundle Id v a -> Ordering Source # (<) :: Bundle Id v a -> Bundle Id v a -> Bool Source # (<=) :: Bundle Id v a -> Bundle Id v a -> Bool Source # (>) :: Bundle Id v a -> Bundle Id v a -> Bool Source # (>=) :: Bundle Id v a -> Bundle Id v a -> Bool Source # max :: Bundle Id v a -> Bundle Id v a -> Bundle Id v a Source # min :: Bundle Id v a -> Bundle Id v a -> Bundle Id v a Source # | |
| (Ord a, Ord b, Ord c) => Ord (a, b, c) | |
Defined in GHC.Classes | |
| (Ord (f a), Ord (g a)) => Ord (Product f g a) | Since: base-4.18.0.0 |
Defined in Data.Functor.Product Methods compare :: Product f g a -> Product f g a -> Ordering Source # (<) :: Product f g a -> Product f g a -> Bool Source # (<=) :: Product f g a -> Product f g a -> Bool Source # (>) :: Product f g a -> Product f g a -> Bool Source # (>=) :: Product f g a -> Product f g a -> Bool Source # max :: Product f g a -> Product f g a -> Product f g a Source # min :: Product f g a -> Product f g a -> Product f g a Source # | |
| (Ord (f a), Ord (g a)) => Ord (Sum f g a) | Since: base-4.18.0.0 |
Defined in Data.Functor.Sum | |
| (Ord (f p), Ord (g p)) => Ord ((f :*: g) p) | Since: base-4.7.0.0 |
Defined in GHC.Internal.Generics Methods compare :: (f :*: g) p -> (f :*: g) p -> Ordering Source # (<) :: (f :*: g) p -> (f :*: g) p -> Bool Source # (<=) :: (f :*: g) p -> (f :*: g) p -> Bool Source # (>) :: (f :*: g) p -> (f :*: g) p -> Bool Source # (>=) :: (f :*: g) p -> (f :*: g) p -> Bool Source # | |
| (Ord (f p), Ord (g p)) => Ord ((f :+: g) p) | Since: base-4.7.0.0 |
Defined in GHC.Internal.Generics Methods compare :: (f :+: g) p -> (f :+: g) p -> Ordering Source # (<) :: (f :+: g) p -> (f :+: g) p -> Bool Source # (<=) :: (f :+: g) p -> (f :+: g) p -> Bool Source # (>) :: (f :+: g) p -> (f :+: g) p -> Bool Source # (>=) :: (f :+: g) p -> (f :+: g) p -> Bool Source # | |
| Ord c => Ord (K1 i c p) | Since: base-4.7.0.0 |
Defined in GHC.Internal.Generics | |
| (Ord a, Ord b, Ord c, Ord d) => Ord (a, b, c, d) | |
Defined in GHC.Classes Methods compare :: (a, b, c, d) -> (a, b, c, d) -> Ordering Source # (<) :: (a, b, c, d) -> (a, b, c, d) -> Bool Source # (<=) :: (a, b, c, d) -> (a, b, c, d) -> Bool Source # (>) :: (a, b, c, d) -> (a, b, c, d) -> Bool Source # (>=) :: (a, b, c, d) -> (a, b, c, d) -> Bool Source # max :: (a, b, c, d) -> (a, b, c, d) -> (a, b, c, d) Source # min :: (a, b, c, d) -> (a, b, c, d) -> (a, b, c, d) Source # | |
| Ord (f (g a)) => Ord (Compose f g a) | Since: base-4.18.0.0 |
Defined in Data.Functor.Compose Methods compare :: Compose f g a -> Compose f g a -> Ordering Source # (<) :: Compose f g a -> Compose f g a -> Bool Source # (<=) :: Compose f g a -> Compose f g a -> Bool Source # (>) :: Compose f g a -> Compose f g a -> Bool Source # (>=) :: Compose f g a -> Compose f g a -> Bool Source # max :: Compose f g a -> Compose f g a -> Compose f g a Source # min :: Compose f g a -> Compose f g a -> Compose f g a Source # | |
| Ord (f (g p)) => Ord ((f :.: g) p) | Since: base-4.7.0.0 |
Defined in GHC.Internal.Generics Methods compare :: (f :.: g) p -> (f :.: g) p -> Ordering Source # (<) :: (f :.: g) p -> (f :.: g) p -> Bool Source # (<=) :: (f :.: g) p -> (f :.: g) p -> Bool Source # (>) :: (f :.: g) p -> (f :.: g) p -> Bool Source # (>=) :: (f :.: g) p -> (f :.: g) p -> Bool Source # | |
| Ord (f p) => Ord (M1 i c f p) | Since: base-4.7.0.0 |
Defined in GHC.Internal.Generics Methods compare :: M1 i c f p -> M1 i c f p -> Ordering Source # (<) :: M1 i c f p -> M1 i c f p -> Bool Source # (<=) :: M1 i c f p -> M1 i c f p -> Bool Source # (>) :: M1 i c f p -> M1 i c f p -> Bool Source # (>=) :: M1 i c f p -> M1 i c f p -> Bool Source # | |
| (Ord a, Ord b, Ord c, Ord d, Ord e) => Ord (a, b, c, d, e) | |
Defined in GHC.Classes Methods compare :: (a, b, c, d, e) -> (a, b, c, d, e) -> Ordering Source # (<) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool Source # (<=) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool Source # (>) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool Source # (>=) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool Source # max :: (a, b, c, d, e) -> (a, b, c, d, e) -> (a, b, c, d, e) Source # min :: (a, b, c, d, e) -> (a, b, c, d, e) -> (a, b, c, d, e) Source # | |
| (Ord a, Ord b, Ord c, Ord d, Ord e, Ord f) => Ord (a, b, c, d, e, f) | |
Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Ordering Source # (<) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool Source # (<=) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool Source # (>) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool Source # (>=) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool Source # max :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> (a, b, c, d, e, f) Source # min :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> (a, b, c, d, e, f) Source # | |
| (Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g) => Ord (a, b, c, d, e, f, g) | |
Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Ordering Source # (<) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool Source # (<=) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool Source # (>) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool Source # (>=) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool Source # max :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) Source # min :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) Source # | |
| (Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h) => Ord (a, b, c, d, e, f, g, h) | |
Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Ordering Source # (<) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool Source # (<=) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool Source # (>) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool Source # (>=) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool Source # max :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) Source # min :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) Source # | |
| (Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i) => Ord (a, b, c, d, e, f, g, h, i) | |
Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Ordering Source # (<) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool Source # (<=) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool Source # (>) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool Source # (>=) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool Source # max :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) Source # min :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) Source # | |
| (Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j) => Ord (a, b, c, d, e, f, g, h, i, j) | |
Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Ordering Source # (<) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool Source # (<=) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool Source # (>) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool Source # (>=) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool Source # max :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) Source # min :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) Source # | |
| (Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k) => Ord (a, b, c, d, e, f, g, h, i, j, k) | |
Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Ordering Source # (<) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool Source # (<=) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool Source # (>) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool Source # (>=) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool Source # max :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) Source # min :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) Source # | |
| (Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k, Ord l) => Ord (a, b, c, d, e, f, g, h, i, j, k, l) | |
Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Ordering Source # (<) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool Source # (<=) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool Source # (>) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool Source # (>=) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool Source # max :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) Source # min :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) Source # | |
| (Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k, Ord l, Ord m) => Ord (a, b, c, d, e, f, g, h, i, j, k, l, m) | |
Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Ordering Source # (<) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool Source # (<=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool Source # (>) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool Source # (>=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool Source # max :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) Source # min :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) Source # | |
| (Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k, Ord l, Ord m, Ord n) => Ord (a, b, c, d, e, f, g, h, i, j, k, l, m, n) | |
Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Ordering Source # (<) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool Source # (<=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool Source # (>) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool Source # (>=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool Source # max :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) Source # min :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) Source # | |
| (Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k, Ord l, Ord m, Ord n, Ord o) => Ord (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) | |
Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Ordering Source # (<) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool Source # (<=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool Source # (>) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool Source # (>=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool Source # max :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) Source # min :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) Source # | |
The Eq class defines equality (==) and inequality (/=).
All the basic datatypes exported by the Prelude are instances of Eq,
and Eq may be derived for any datatype whose constituents are also
instances of Eq.
The Haskell Report defines no laws for Eq. However, instances are
encouraged to follow these properties:
Instances
| Eq ByteArray | Since: base-4.17.0.0 |
| Eq Timeout | |
| Eq ByteString | |
Defined in Data.ByteString.Internal.Type 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 BigNat | |
| Eq Void | Since: base-4.8.0.0 |
| Eq ByteOrder | Since: base-4.11.0.0 |
| Eq SomeTypeRep | |
Defined in GHC.Internal.Data.Typeable.Internal Methods (==) :: SomeTypeRep -> SomeTypeRep -> Bool Source # (/=) :: SomeTypeRep -> SomeTypeRep -> Bool Source # | |
| Eq Version | Since: base-2.1 |
| Eq ArithException | Since: base-3.0 |
Defined in GHC.Internal.Exception.Type Methods (==) :: ArithException -> ArithException -> Bool Source # (/=) :: ArithException -> ArithException -> Bool Source # | |
| 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 GHC.Internal.Foreign.C.Types Methods (==) :: CSUSeconds -> CSUSeconds -> Bool Source # (/=) :: CSUSeconds -> CSUSeconds -> Bool Source # | |
| Eq CShort | |
| Eq CSigAtomic | |
Defined in GHC.Internal.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 Associativity | Since: base-4.6.0.0 |
Defined in GHC.Internal.Generics Methods (==) :: Associativity -> Associativity -> Bool Source # (/=) :: Associativity -> Associativity -> Bool Source # | |
| Eq DecidedStrictness | Since: base-4.9.0.0 |
Defined in GHC.Internal.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.Internal.Generics Methods (==) :: SourceStrictness -> SourceStrictness -> Bool Source # (/=) :: SourceStrictness -> SourceStrictness -> Bool Source # | |
| Eq SourceUnpackedness | Since: base-4.9.0.0 |
Defined in GHC.Internal.Generics Methods (==) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source # (/=) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source # | |
| Eq MaskingState | Since: base-4.3.0.0 |
Defined in GHC.Internal.IO Methods (==) :: MaskingState -> MaskingState -> Bool Source # (/=) :: MaskingState -> MaskingState -> Bool Source # | |
| Eq ArrayException | Since: base-4.2.0.0 |
Defined in GHC.Internal.IO.Exception Methods (==) :: ArrayException -> ArrayException -> Bool Source # (/=) :: ArrayException -> ArrayException -> Bool Source # | |
| Eq AsyncException | Since: base-4.2.0.0 |
Defined in GHC.Internal.IO.Exception Methods (==) :: AsyncException -> AsyncException -> Bool Source # (/=) :: AsyncException -> AsyncException -> Bool Source # | |
| Eq ExitCode | |
| Eq IOErrorType | Since: base-4.1.0.0 |
Defined in GHC.Internal.IO.Exception Methods (==) :: IOErrorType -> IOErrorType -> Bool Source # (/=) :: IOErrorType -> IOErrorType -> Bool Source # | |
| Eq IOException | Since: base-4.1.0.0 |
Defined in GHC.Internal.IO.Exception Methods (==) :: IOException -> IOException -> Bool Source # (/=) :: IOException -> IOException -> Bool Source # | |
| Eq BufferMode | Since: base-4.2.0.0 |
Defined in GHC.Internal.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.Internal.IO.Handle.Types Methods (==) :: NewlineMode -> NewlineMode -> Bool Source # (/=) :: NewlineMode -> NewlineMode -> Bool Source # | |
| 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 Word16 | Since: base-2.1 |
| Eq Word32 | Since: base-2.1 |
| Eq Word64 | Since: base-2.1 |
| Eq Word8 | Since: base-2.1 |
| Eq Module | |
| Eq Ordering | |
| Eq TrName | |
| Eq TyCon | |
| Eq OsChar | Byte equality of the internal representation. |
| Eq OsString | Byte equality of the internal representation. |
| Eq PosixChar | |
| Eq PosixString | |
Defined in System.OsString.Internal.Types Methods (==) :: PosixString -> PosixString -> Bool Source # (/=) :: PosixString -> PosixString -> Bool Source # | |
| Eq WindowsChar | |
Defined in System.OsString.Internal.Types Methods (==) :: WindowsChar -> WindowsChar -> Bool Source # (/=) :: WindowsChar -> WindowsChar -> Bool Source # | |
| Eq WindowsString | |
Defined in System.OsString.Internal.Types Methods (==) :: WindowsString -> WindowsString -> Bool Source # (/=) :: WindowsString -> WindowsString -> Bool Source # | |
| Eq Mode | |
| Eq Style | |
| Eq TextDetails | |
Defined in Text.PrettyPrint.Annotated.HughesPJ Methods (==) :: TextDetails -> TextDetails -> Bool Source # (/=) :: TextDetails -> TextDetails -> Bool Source # | |
| Eq Doc | |
| Eq UnicodeException | |
Defined in Data.Text.Encoding.Error Methods (==) :: UnicodeException -> UnicodeException -> Bool Source # (/=) :: UnicodeException -> UnicodeException -> Bool Source # | |
| Eq I8 | |
| Eq Text | |
| Eq Builder | |
| Eq PartialUtf8CodePoint | |
| Eq Utf8State | |
| Eq DecoderState | |
Defined in Data.Text.Internal.Encoding.Utf8 Methods (==) :: DecoderState -> DecoderState -> Bool Source # (/=) :: DecoderState -> DecoderState -> Bool Source # | |
| Eq Size | |
| Eq Text | |
| Eq SubHashPath | |
Defined in Data.HashMap.Internal.Debug Methods (==) :: SubHashPath -> SubHashPath -> Bool Source # (/=) :: SubHashPath -> SubHashPath -> Bool Source # | |
| Eq Size | |
| Eq Checks | |
| 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 (Chan a) | Since: base-4.4.0.0 |
| Eq (MutableByteArray s) | Since: base-4.17.0.0 |
Defined in Data.Array.Byte Methods (==) :: MutableByteArray s -> MutableByteArray s -> Bool Source # (/=) :: MutableByteArray s -> MutableByteArray s -> Bool Source # | |
| Eq a => Eq (Complex a) | Since: base-2.1 |
| 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 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 vertex => Eq (SCC vertex) | Since: containers-0.5.9 |
| Eq a => Eq (IntMap a) | |
| Eq a => Eq (Seq a) | |
| Eq a => Eq (ViewL a) | |
| Eq a => Eq (ViewR a) | |
| Eq a => Eq (Intersection a) | |
Defined in Data.Set.Internal Methods (==) :: Intersection a -> Intersection a -> Bool Source # (/=) :: Intersection a -> Intersection a -> Bool Source # | |
| Eq a => Eq (Set a) | |
| Eq a => Eq (Tree a) | |
| Eq a => Eq (NonEmpty a) | Since: base-4.9.0.0 |
| Eq a => Eq (Down a) | Since: base-4.6.0.0 |
| Eq p => Eq (Par1 p) | Since: base-4.7.0.0 |
| Eq a => Eq (Ratio a) | Since: base-2.1 |
| Eq a => Eq (Hashed a) | Uses precomputed hash to detect inequality faster |
| 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 a, Prim a) => Eq (PrimArray a) | |
| Eq a => Eq (SmallArray a) | |
| Eq a => Eq (Stream a) | |
| Eq k => Eq (Error k) | |
| Eq k => Eq (Validity k) | |
| Eq a => Eq (HashSet a) | Note that, in the presence of hash collisions, equal
In general, the lack of extensionality 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 (Vector a) | |
| (Unbox a, Eq a) => Eq (Vector a) | |
| Eq a => Eq (Maybe a) | Since: base-2.1 |
| Eq a => Eq (Solo a) | |
| Eq a => Eq [a] | |
| Eq (Fixed a) | Since: base-2.1 |
| Eq a => Eq (Arg a b) | Since: base-4.9.0.0 |
| (Eq k, Eq a) => Eq (Map k a) | |
| (Eq a, Eq b) => Eq (Either a b) | Since: base-2.1 |
| 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 (MutableArray s a) | |
| Eq (MutablePrimArray s a) | |
| Eq (SmallMutableArray s a) | |
| (Eq1 f, Eq a) => Eq (Lift f 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 extensionality 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) | |
| (Generic1 f, Eq (Rep1 f a)) => Eq (Generically1 f a) | Since: base-4.18.0.0 |
Defined in GHC.Internal.Generics Methods (==) :: Generically1 f a -> Generically1 f a -> Bool Source # (/=) :: Generically1 f a -> Generically1 f a -> Bool Source # | |
| 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 |
| (Eq1 f, Eq a) => Eq (Backwards f a) | |
| (Eq e, Eq1 m, Eq a) => Eq (ExceptT 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 (Constant a b) | |
| (Eq1 f, Eq a) => Eq (Reverse f a) | |
| Eq a => Eq (Bundle Id v a) | |
| (Eq a, Eq b, Eq c) => Eq (a, b, c) | |
| (Eq (f a), Eq (g a)) => Eq (Product f g a) | Since: base-4.18.0.0 |
| (Eq (f a), Eq (g a)) => Eq (Sum f g a) | Since: base-4.18.0.0 |
| (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) | |
| Eq (f (g a)) => Eq (Compose f g a) | Since: base-4.18.0.0 |
| 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 a, Eq b, Eq c, Eq d, Eq e) => Eq (a, b, c, d, e) | |
| (Eq a, Eq b, Eq c, Eq d, Eq e, Eq f) => Eq (a, b, c, d, e, f) | |
| (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 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 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 ByteOrder | Since: base-4.11.0.0 |
| Bounded CBool | |
| Bounded CChar | |
| Bounded CInt | |
| Bounded CIntMax | |
| Bounded CIntPtr | |
| Bounded CLLong | |
| Bounded CLong | |
| Bounded CPtrdiff | |
| Bounded CSChar | |
| Bounded CShort | |
| Bounded CSigAtomic | |
Defined in GHC.Internal.Foreign.C.Types | |
| Bounded CSize | |
| Bounded CUChar | |
| Bounded CUInt | |
| Bounded CUIntMax | |
| Bounded CUIntPtr | |
| Bounded CULLong | |
| Bounded CULong | |
| Bounded CUShort | |
| Bounded CWchar | |
| Bounded Associativity | Since: base-4.9.0.0 |
Defined in GHC.Internal.Generics | |
| Bounded DecidedStrictness | Since: base-4.9.0.0 |
Defined in GHC.Internal.Generics | |
| Bounded SourceStrictness | Since: base-4.9.0.0 |
Defined in GHC.Internal.Generics | |
| Bounded SourceUnpackedness | Since: base-4.9.0.0 |
Defined in GHC.Internal.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 Word16 | Since: base-2.1 |
| Bounded Word32 | Since: base-2.1 |
| Bounded Word64 | Since: base-2.1 |
| Bounded Word8 | Since: base-2.1 |
| Bounded Ordering | Since: base-2.1 |
| Bounded I8 | |
| Bounded FPFormat | |
| Bounded () | Since: base-2.1 |
| Bounded Bool | Since: base-2.1 |
| Bounded Char | Since: base-2.1 |
| Bounded Int | Since: base-2.1 |
| Bounded Levity | Since: base-4.16.0.0 |
| 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 (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 a => Bounded (Down a) | Swaps Since: base-4.14.0.0 |
| Bounded a => Bounded (Solo a) | |
| (Bounded a, Bounded b) => Bounded (a, b) | Since: base-2.1 |
| (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 (f (g a)) => Bounded (Compose f g a) | Since: base-4.19.0.0 |
| (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
andsuccmaxBoundshould result in a runtime error.predminBound fromEnumandtoEnumshould give a runtime error if the result value is not representable in the result type. For example,is an error.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
Successor of a value. For numeric types, succ adds 1.
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).
Examples
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
Examples
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 = []
Examples
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 = []
Examples
enumFromThenTo 4 2 -6 :: [Integer] = [4,2,0,-2,-4,-6]
enumFromThenTo 6 8 2 :: [Int] = []
Instances
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,
produces the stringshow(Leaf 1 :^: Leaf 2 :^: Leaf 3)"Leaf 1 :^: (Leaf 2 :^: Leaf 3)".
Instances
| Show ByteArray | Since: base-4.17.0.0 |
| Show Timeout | Since: base-4.0 |
| Show Builder | Since: bytestring-0.11.1.0 |
| Show FormatMode | |
| Show ByteString | |
Defined in Data.ByteString.Internal.Type | |
| Show SizeOverflowException | |
Defined in Data.ByteString.Internal.Type | |
| Show ByteString | |
Defined in Data.ByteString.Lazy.Internal | |
| Show ShortByteString | |
Defined in Data.ByteString.Short.Internal | |
| Show IntSet | |
| Show BitQueue | |
| Show BitQueueB | |
| Show Void | Since: base-4.8.0.0 |
| Show ByteOrder | Since: base-4.11.0.0 |
| Show SomeTypeRep | Since: base-4.10.0.0 |
Defined in GHC.Internal.Data.Typeable.Internal | |
| Show Version | Since: base-2.1 |
| Show ArithException | Since: base-4.0.0.0 |
Defined in GHC.Internal.Exception.Type | |
| Show SomeException | Since: ghc-internal-3.0 |
Defined in GHC.Internal.Exception.Type | |
| 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 GHC.Internal.Foreign.C.Types | |
| Show CShort | |
| Show CSigAtomic | |
Defined in GHC.Internal.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 Associativity | Since: base-4.6.0.0 |
Defined in GHC.Internal.Generics | |
| Show DecidedStrictness | Since: base-4.9.0.0 |
Defined in GHC.Internal.Generics | |
| Show Fixity | Since: base-4.6.0.0 |
| Show SourceStrictness | Since: base-4.9.0.0 |
Defined in GHC.Internal.Generics | |
| Show SourceUnpackedness | Since: base-4.9.0.0 |
Defined in GHC.Internal.Generics | |
| Show MaskingState | Since: base-4.3.0.0 |
Defined in GHC.Internal.IO | |
| Show AllocationLimitExceeded | Since: base-4.7.1.0 |
Defined in GHC.Internal.IO.Exception | |
| Show ArrayException | Since: base-4.1.0.0 |
Defined in GHC.Internal.IO.Exception | |
| Show AssertionFailed | Since: base-4.1.0.0 |
Defined in GHC.Internal.IO.Exception | |
| Show AsyncException | Since: base-4.1.0.0 |
Defined in GHC.Internal.IO.Exception | |
| Show BlockedIndefinitelyOnMVar | Since: base-4.1.0.0 |
Defined in GHC.Internal.IO.Exception | |
| Show BlockedIndefinitelyOnSTM | Since: base-4.1.0.0 |
Defined in GHC.Internal.IO.Exception | |
| Show CompactionFailed | Since: base-4.10.0.0 |
Defined in GHC.Internal.IO.Exception | |
| Show Deadlock | Since: base-4.1.0.0 |
| Show ExitCode | |
| Show FixIOException | Since: base-4.11.0.0 |
Defined in GHC.Internal.IO.Exception | |
| Show IOErrorType | Since: base-4.1.0.0 |
Defined in GHC.Internal.IO.Exception | |
| Show IOException | Since: base-4.1.0.0 |
Defined in GHC.Internal.IO.Exception | |
| Show SomeAsyncException | Since: base-4.7.0.0 |
Defined in GHC.Internal.IO.Exception | |
| Show BufferMode | Since: base-4.2.0.0 |
Defined in GHC.Internal.IO.Handle.Types | |
| Show Handle | Since: base-4.1.0.0 |
| Show HandleType | Since: base-4.1.0.0 |
Defined in GHC.Internal.IO.Handle.Types | |
| Show Newline | Since: base-4.3.0.0 |
| Show NewlineMode | Since: base-4.3.0.0 |
Defined in GHC.Internal.IO.Handle.Types | |
| 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 FractionalExponentBase | |
Defined in GHC.Internal.Real | |
| Show CallStack | Since: base-4.9.0.0 |
| Show SrcLoc | Since: base-4.9.0.0 |
| Show Word16 | Since: base-2.1 |
| Show Word32 | Since: base-2.1 |
| Show Word64 | Since: base-2.1 |
| Show Word8 | Since: base-2.1 |
| 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 |
Defined in GHC.Internal.Show | |
| Show OsChar | |
| Show OsString | On windows, decodes as UCS-2. On unix prints the raw bytes without decoding. |
| Show PosixChar | |
| Show PosixString | Prints the raw bytes without decoding. |
Defined in System.OsString.Internal.Types | |
| Show WindowsChar | |
Defined in System.OsString.Internal.Types | |
| Show WindowsString | Decodes as UCS-2. |
Defined in System.OsString.Internal.Types | |
| Show Mode | |
| Show Style | |
| Show TextDetails | |
Defined in Text.PrettyPrint.Annotated.HughesPJ | |
| Show Doc | |
| Show Decoding | |
| Show UnicodeException | |
Defined in Data.Text.Encoding.Error | |
| Show I8 | |
| Show Text | |
| Show Builder | |
| Show PartialUtf8CodePoint | |
| Show Utf8State | |
| Show DecoderState | |
Defined in Data.Text.Internal.Encoding.Utf8 | |
| Show Size | |
| Show Text | |
| Show FPFormat | |
| Show Iter | |
| Show SubHashPath | |
Defined in Data.HashMap.Internal.Debug | |
| Show Size | |
| 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 Double | Since: base-2.1 |
| Show Float | Since: base-2.1 |
| Show Int | Since: base-2.1 |
| Show Levity | Since: base-4.15.0.0 |
| Show RuntimeRep | Since: base-4.11.0.0 |
Defined in GHC.Internal.Show | |
| 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 (Complex a) | Since: base-2.1 |
| 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 m => Show (WrappedMonoid m) | Since: base-4.9.0.0 |
Defined in Data.Semigroup | |
| Show vertex => Show (SCC vertex) | Since: containers-0.5.9 |
| Show a => Show (IntMap a) | |
| Show a => Show (Seq a) | |
| Show a => Show (ViewL a) | |
| Show a => Show (ViewR a) | |
| Show a => Show (Intersection a) | |
Defined in Data.Set.Internal | |
| Show a => Show (Set a) | |
| Show a => Show (Tree a) | |
| Show a => Show (NonEmpty a) | Since: base-4.11.0.0 |
| 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 (ExceptionWithContext a) | |
Defined in GHC.Internal.Exception.Type | |
| Show e => Show (NoBacktrace e) | |
Defined in GHC.Internal.Exception.Type | |
| Show p => Show (Par1 p) | Since: base-4.7.0.0 |
| Show a => Show (Ratio a) | Since: base-2.0.1 |
| Show a => Show (Hashed a) | |
| 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) | |
| Show a => Show (SmallArray a) | |
| Show a => Show (Array a) | |
| Show k => Show (Error k) | |
| Show k => Show (Validity k) | |
| 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 (Vector a) | |
| (Show a, Unbox a) => Show (Vector a) | |
| Show a => Show (Maybe a) | Since: base-2.1 |
| Show a => Show (Solo a) | Since: base-4.15 |
| Show a => Show [a] | Since: base-2.1 |
| HasResolution a => Show (Fixed a) | Since: base-2.1 |
| (Show a, Show b) => Show (Arg a b) | Since: base-4.9.0.0 |
| (Show k, Show a) => Show (Map k a) | |
| (Show a, Show b) => Show (Either a b) | Since: base-3.0 |
| Show (TypeRep a) | |
| Show (U1 p) | Since: base-4.9.0.0 |
| Show (V1 p) | Since: base-4.9.0.0 |
| (Show1 f, Show a) => Show (Lift f 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 (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 |
| (Show1 f, Show a) => Show (Backwards f a) | |
| (Show e, Show1 m, Show a) => Show (ExceptT 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 (Constant a b) | |
| (Show1 f, Show a) => Show (Reverse f a) | |
| (Show a, Show b, Show c) => Show (a, b, c) | Since: base-2.1 |
| (Show (f a), Show (g a)) => Show (Product f g a) | Since: base-4.18.0.0 |
| (Show (f a), Show (g a)) => Show (Sum f g a) | Since: base-4.18.0.0 |
| (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 |
| Show (f (g a)) => Show (Compose f g a) | Since: base-4.18.0.0 |
| 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 a, Show b, Show c, Show d, Show e) => Show (a, b, c, d, e) | Since: base-2.1 |
| (Show a, Show b, Show c, Show d, Show e, Show f) => Show (a, b, c, d, e, f) | Since: base-2.1 |
| (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 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 |
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 ByteString | |
Defined in Data.ByteString.Internal.Type | |
| Read ByteString | |
Defined in Data.ByteString.Lazy.Internal | |
| Read ShortByteString | |
Defined in Data.ByteString.Short.Internal | |
| Read IntSet | |
| Read Void | Reading a Since: base-4.8.0.0 |
| Read ByteOrder | Since: base-4.11.0.0 |
| Read Version | Since: base-2.1 |
| 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 GHC.Internal.Foreign.C.Types | |
| Read CShort | |
| Read CSigAtomic | |
Defined in GHC.Internal.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 Associativity | Since: base-4.6.0.0 |
Defined in GHC.Internal.Generics | |
| Read DecidedStrictness | Since: base-4.9.0.0 |
Defined in GHC.Internal.Generics | |
| Read Fixity | Since: base-4.6.0.0 |
| Read SourceStrictness | Since: base-4.9.0.0 |
Defined in GHC.Internal.Generics | |
| Read SourceUnpackedness | Since: base-4.9.0.0 |
Defined in GHC.Internal.Generics | |
| Read ExitCode | |
| Read BufferMode | Since: base-4.2.0.0 |
Defined in GHC.Internal.IO.Handle.Types | |
| Read Newline | Since: base-4.3.0.0 |
| Read NewlineMode | Since: base-4.3.0.0 |
Defined in GHC.Internal.IO.Handle.Types | |
| 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 Lexeme | Since: base-2.1 |
| Read GeneralCategory | Since: base-2.1 |
Defined in GHC.Internal.Read | |
| Read Word16 | Since: base-2.1 |
| Read Word32 | Since: base-2.1 |
| Read Word64 | Since: base-2.1 |
| Read Word8 | Since: base-2.1 |
| Read Ordering | Since: base-2.1 |
| Read I8 | |
| Read Text | |
| Read Text | |
| Read FPFormat | |
| 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 (Complex a) | Since: base-2.1 |
| 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 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 vertex => Read (SCC vertex) | Since: containers-0.5.9 |
| 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 (NonEmpty a) | Since: base-4.11.0.0 |
| Read a => Read (Down a) | This instance would be equivalent to the derived instances of the
Since: base-4.7.0.0 |
| Read p => Read (Par1 p) | Since: base-4.7.0.0 |
| (Integral a, Read a) => Read (Ratio a) | Since: base-2.1 |
| Read a => Read (Array a) | |
| Read a => Read (SmallArray a) | |
| (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 (Vector a) | |
| (Read a, Unbox a) => Read (Vector a) | |
| Read a => Read (Maybe a) | Since: base-2.1 |
| Read a => Read (Solo a) | Since: base-4.15 |
| Read a => Read [a] | Since: base-2.1 |
| HasResolution a => Read (Fixed a) | Since: base-4.3.0.0 |
| (Read a, Read b) => Read (Arg a b) | Since: base-4.9.0.0 |
| (Ord k, Read k, Read e) => Read (Map k e) | |
| (Ix a, Read a, Read b) => Read (Array a b) | Since: base-2.1 |
| (Read a, Read b) => Read (Either a b) | Since: base-3.0 |
| Read (U1 p) | Since: base-4.9.0.0 |
| Read (V1 p) | Since: base-4.9.0.0 |
| (Read1 f, Read a) => Read (Lift f 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 (f p) => Read (Rec1 f p) | Since: base-4.7.0.0 |
| (Read1 f, Read a) => Read (Backwards f a) | |
| (Read e, Read1 m, Read a) => Read (ExceptT 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 (Constant a b) | |
| (Read1 f, Read a) => Read (Reverse f a) | |
| (Read a, Read b, Read c) => Read (a, b, c) | Since: base-2.1 |
| (Read (f a), Read (g a)) => Read (Product f g a) | Since: base-4.18.0.0 |
| (Read (f a), Read (g a)) => Read (Sum f g a) | Since: base-4.18.0.0 |
| (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 |
| Read (f (g a)) => Read (Compose f g a) | Since: base-4.18.0.0 |
| 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 a, Read b, Read c, Read d, Read e) => Read (a, b, c, d, e) | Since: base-2.1 |
| (Read a, Read b, Read c, Read d, Read e, Read f) => Read (a, b, c, d, e, f) | Since: base-2.1 |
| (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 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.Internal.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.Internal.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.Internal.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.Internal.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 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.
See these articles by School of Haskell or
David Luposchainsky
for an explanation.
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 instance that allows
both the last and the penultimate parameters to be mapped over.Bifunctor
Examples
Convert from a to a Maybe IntMaybe String
using show:
>>>fmap show NothingNothing>>>fmap show (Just 3)Just "3"
Convert from an to 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 Complex | Since: base-4.9.0.0 |
| 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 ArgDescr | Since: base-4.7.0.0 |
| Functor ArgOrder | Since: base-4.7.0.0 |
| Functor OptDescr | Since: base-4.7.0.0 |
| Functor Put | |
| Functor SCC | Since: containers-0.5.4 |
| Functor IntMap | |
| Functor Digit | |
| Functor Elem | |
| Functor FingerTree | |
Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> FingerTree a -> FingerTree b Source # (<$) :: a -> FingerTree b -> FingerTree a Source # | |
| Functor Node | |
| Functor Seq | |
| Functor ViewL | |
| Functor ViewR | |
| Functor Tree | |
| Functor NonEmpty | Since: base-4.9.0.0 |
| Functor Down | Since: base-4.11.0.0 |
| Functor Par1 | Since: base-4.9.0.0 |
| Functor P | Since: base-4.8.0.0 |
| Functor ReadP | Since: base-2.1 |
| Functor IO | Since: base-2.1 |
| Functor AnnotDetails | |
Defined in Text.PrettyPrint.Annotated.HughesPJ Methods fmap :: (a -> b) -> AnnotDetails a -> AnnotDetails b Source # (<$) :: a -> AnnotDetails b -> AnnotDetails a Source # | |
| Functor Doc | |
| Functor Span | |
| Functor Array | |
| Functor SmallArray | |
| Functor Vector | |
| Functor Id | |
| Functor Vector | |
| Functor Maybe | Since: base-2.1 |
| Functor Solo | Since: base-4.15 |
| Functor [] | Since: base-2.1 |
| Monad m => Functor (WrappedMonad m) | Since: base-2.1 |
Defined in Control.Applicative Methods fmap :: (a -> b) -> WrappedMonad m a -> WrappedMonad m b Source # (<$) :: a -> WrappedMonad m b -> WrappedMonad m a Source # | |
| Functor (Arg a) | Since: base-4.9.0.0 |
| Functor (SetM s) | |
| Functor (Map k) | |
| Arrow a => Functor (ArrowMonad a) | Since: base-4.6.0.0 |
Defined in GHC.Internal.Control.Arrow Methods fmap :: (a0 -> b) -> ArrowMonad a a0 -> ArrowMonad a b Source # (<$) :: a0 -> ArrowMonad a b -> ArrowMonad a a0 Source # | |
| Functor (Either a) | Since: base-3.0 |
| Functor (U1 :: Type -> Type) | Since: base-4.9.0.0 |
| Functor (V1 :: Type -> Type) | Since: base-4.9.0.0 |
| Functor (IParser t) | |
| Functor f => Functor (Lift f) | |
| Functor m => Functor (MaybeT m) | |
| 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 # (<$) :: a0 -> WrappedArrow a b b0 -> WrappedArrow a b a0 Source # | |
| (Applicative f, Monad f) => Functor (WhenMissing f x) | Since: containers-0.5.9 |
Defined in Data.IntMap.Internal Methods fmap :: (a -> b) -> WhenMissing f x a -> WhenMissing f x b Source # (<$) :: a -> WhenMissing f x b -> WhenMissing f x a Source # | |
| Functor m => Functor (Kleisli m a) | Since: base-4.14.0.0 |
| (Generic1 f, Functor (Rep1 f)) => Functor (Generically1 f) | Since: base-4.17.0.0 |
Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> Generically1 f a -> Generically1 f b Source # (<$) :: a -> Generically1 f b -> Generically1 f a Source # | |
| Functor f => Functor (Rec1 f) | Since: base-4.9.0.0 |
| Functor (URec (Ptr ()) :: Type -> Type) | Since: base-4.9.0.0 |
| Functor (URec Char :: Type -> Type) | Since: base-4.9.0.0 |
| Functor (URec Double :: Type -> Type) | Since: base-4.9.0.0 |
| Functor (URec Float :: Type -> Type) | Since: base-4.9.0.0 |
| Functor (URec Int :: Type -> Type) | Since: base-4.9.0.0 |
| Functor (URec Word :: Type -> Type) | Since: base-4.9.0.0 |
| Functor f => Functor (Backwards f) | Derived instance. |
| Functor m => Functor (AccumT w m) | |
| Functor m => Functor (ExceptT e m) | |
| Functor m => Functor (IdentityT m) | |
| Functor m => Functor (ReaderT r m) | |
| Functor m => Functor (SelectT r m) | |
| Functor m => Functor (StateT s m) | |
| Functor m => Functor (StateT s m) | |
| Functor m => Functor (WriterT w m) | |
| Functor m => Functor (WriterT w m) | |
| Functor m => Functor (WriterT w m) | |
| Functor (Constant a :: Type -> Type) | |
| Functor f => Functor (Reverse f) | Derived instance. |
| Monad m => Functor (Bundle m v) | |
| Functor ((,,) a b) | Since: base-4.14.0.0 |
| (Functor f, Functor g) => Functor (Product f g) | Since: base-4.9.0.0 |
| (Functor f, Functor g) => Functor (Sum f g) | Since: base-4.9.0.0 |
| Functor f => Functor (WhenMatched f x y) | Since: containers-0.5.9 |
Defined in Data.IntMap.Internal Methods fmap :: (a -> b) -> WhenMatched f x y a -> WhenMatched f x y b Source # (<$) :: 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 # (<$) :: a -> WhenMissing f k x b -> WhenMissing f k x a Source # | |
| (Functor f, Functor g) => Functor (f :*: g) | Since: base-4.9.0.0 |
| (Functor f, Functor g) => Functor (f :+: g) | Since: base-4.9.0.0 |
| Functor (K1 i c :: Type -> Type) | Since: base-4.9.0.0 |
| Functor (ContT r m) | |
| Functor ((,,,) a b c) | Since: base-4.14.0.0 |
| Functor ((->) r) | Since: base-2.1 |
| (Functor f, Functor g) => Functor (Compose f g) | Since: base-4.9.0.0 |
| Functor f => Functor (WhenMatched f k x y) | Since: containers-0.5.9 |
Defined in Data.Map.Internal Methods fmap :: (a -> b) -> WhenMatched f k x y a -> WhenMatched f k x y b Source # (<$) :: a -> WhenMatched f k x y b -> WhenMatched f k x y a Source # | |
| (Functor 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 m => Functor (RWST r w s m) | |
| Functor m => Functor (RWST r w s m) | |
| Functor m => Functor (RWST r w s m) | |
| Functor ((,,,,) a b c d) | Since: base-4.18.0.0 |
| Functor ((,,,,,) a b c d e) | Since: base-4.18.0.0 |
| Functor ((,,,,,,) a b c d e f) | Since: base-4.18.0.0 |
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 List, 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
An alternative name for this function is 'bind', but some people may refer to it as 'flatMap', which results from it being equivialent to
\x f ->join(fmapf x) :: Monad m => m a -> (a -> m b) -> m b
which can be seen as mapping a value with
Monad m => m a -> m (m b) and then 'flattening' m (m b) to m b using join.
(>>) :: 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
or in terms of as(>>=)
as >>= const bs
Inject a value into the monadic type.
This function should not be different from its default implementation
as pure. The justification for the existence of this function is
merely historic.
Instances
| Monad Complex | Since: base-4.9.0.0 |
| 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 Put | |
| Monad Seq | |
| Monad Tree | |
| Monad NonEmpty | Since: base-4.9.0.0 |
| Monad Down | Since: base-4.11.0.0 |
| Monad Par1 | Since: base-4.9.0.0 |
| Monad P | Since: base-2.1 |
| Monad ReadP | Since: base-2.1 |
| Monad IO | Since: base-2.1 |
| Monad Array | |
| Monad SmallArray | |
| Monad Vector | |
| Monad Id | |
| Monad Vector | |
| Monad Maybe | Since: base-2.1 |
| Monad Solo | Since: base-4.15 |
| Monad [] | Since: base-2.1 |
| 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 # | |
| Monad (SetM s) | |
| ArrowApply a => Monad (ArrowMonad a) | Since: base-2.1 |
Defined in GHC.Internal.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 (U1 :: Type -> Type) | Since: base-4.9.0.0 |
| Monad (IParser t) | |
| Monad m => Monad (MaybeT m) | |
| Monoid a => Monad ((,) a) | 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 # | |
| Monad m => Monad (Kleisli m a) | Since: base-4.14.0.0 |
| Monad f => Monad (Rec1 f) | Since: base-4.9.0.0 |
| (Monoid w, Functor m, Monad m) => Monad (AccumT w m) | |
| Monad m => Monad (ExceptT e m) | |
| Monad m => Monad (IdentityT m) | |
| Monad m => Monad (ReaderT r m) | |
| Monad m => Monad (SelectT r m) | |
| Monad m => Monad (StateT s m) | |
| Monad m => Monad (StateT s m) | |
| Monad m => Monad (WriterT w m) | |
| (Monoid w, Monad m) => Monad (WriterT w m) | |
| (Monoid w, Monad m) => Monad (WriterT w m) | |
| Monad m => Monad (Reverse m) | Derived instance. |
| (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, 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 f, Monad g) => Monad (f :*: g) | Since: base-4.9.0.0 |
| 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, 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 # | |
| Monad f => Monad (M1 i c f) | Since: base-4.9.0.0 |
| Monad m => Monad (RWST r w s m) | |
| (Monoid w, Monad m) => Monad (RWST r w s m) | |
| (Monoid w, Monad m) => Monad (RWST r w s m) | |
(=<<) :: Monad m => (a -> m b) -> m a -> m b infixr 1 Source #
Same as >>=, but with the arguments interchanged.
as >>= f == f =<< as
class IsString a where Source #
IsString is used in combination with the -XOverloadedStrings
language extension to convert the literals to different string types.
For example, if you use the text package, you can say
{-# LANGUAGE OverloadedStrings #-}
myText = "hello world" :: Text
Internally, the extension will convert this to the equivalent of
myText = fromString @Text ("hello world" :: String)
Note: You can use fromString in normal code as well,
but the usual performance/memory efficiency problems with String apply.
Methods
fromString :: String -> a Source #
Instances
| IsString Builder | |
Defined in Data.ByteString.Builder Methods fromString :: String -> Builder Source # | |
| IsString ByteString | Beware: |
Defined in Data.ByteString.Internal.Type 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 Text | Performs replacement on invalid scalar values:
|
| IsString Builder | Performs replacement on invalid scalar values:
|
Defined in Data.Text.Internal.Builder Methods fromString :: String -> Builder Source # | |
| IsString Text | Performs replacement on invalid scalar values:
|
Defined in Data.Text.Lazy Methods fromString :: String -> Text Source # | |
| a ~ Char => IsString (Seq a) | Since: containers-0.5.7 |
Defined in Data.Sequence.Internal Methods fromString :: String -> Seq a Source # | |
| IsString a => IsString (Identity a) | Since: base-4.9.0.0 |
Defined in GHC.Internal.Data.String Methods fromString :: String -> Identity 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 GHC.Internal.Data.String Methods fromString :: String -> [a] Source # | |
| IsString a => IsString (Const a b) | Since: base-4.9.0.0 |
Defined in GHC.Internal.Data.String Methods fromString :: String -> Const a b Source # | |
Numeric type classes
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 + xis the additive identityfromInteger0x + fromInteger 0=xnegategives the additive inversex + negate x=fromInteger 0- Associativity of
(*) (x * y) * z=x * (y * z)is the multiplicative identityfromInteger1x * 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)- Coherence with
toInteger - if the type also implements
Integral, thenfromIntegeris a left inverse fortoInteger, i.e.fromInteger (toInteger i) == i
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 (Num a, Ord a) => Real a where Source #
Real numbers.
The Haskell report defines no laws for Real, however Real instances
are customarily expected to adhere to the following law:
- Coherence with
fromRational - if the type also implements
Fractional, thenfromRationalis a left inverse fortoRational, i.e.fromRational (toRational i) = i
The law does not hold for Float, Double, CFloat,
CDouble, etc., because these types contain non-finite values,
which cannot be roundtripped through Rational.
Methods
toRational :: a -> Rational Source #
Rational equivalent of its real argument with full precision.
Instances
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.
In addition, toInteger should be total, and fromInteger should be a left
inverse for it, i.e. fromInteger (toInteger i) = i.
Methods
quot :: a -> a -> a infixl 7 Source #
Integer division truncated toward zero.
WARNING: This function is partial (because it throws when 0 is passed as
the divisor) for all the integer types in base.
rem :: a -> a -> a infixl 7 Source #
Integer remainder, satisfying
(x `quot` y)*y + (x `rem` y) == x
WARNING: This function is partial (because it throws when 0 is passed as
the divisor) for all the integer types in base.
div :: a -> a -> a infixl 7 Source #
Integer division truncated toward negative infinity.
WARNING: This function is partial (because it throws when 0 is passed as
the divisor) for all the integer types in base.
mod :: a -> a -> a infixl 7 Source #
Integer modulus, satisfying
(x `div` y)*y + (x `mod` y) == x
WARNING: This function is partial (because it throws when 0 is passed as
the divisor) for all the integer types in base.
quotRem :: a -> a -> (a, a) Source #
WARNING: This function is partial (because it throws when 0 is passed as
the divisor) for all the integer types in base.
divMod :: a -> a -> (a, a) Source #
WARNING: This function is partial (because it throws when 0 is passed as
the divisor) for all the integer types in base.
toInteger :: a -> Integer Source #
Conversion to Integer.
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- Totality of
toRational toRationalis total- Coherence with
toRational - if the type also implements
Real, thenfromRationalis a left inverse fortoRational, i.e.fromRational (toRational i) = i
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 ).
A floating literal stands for an application of Ratio IntegerfromRational
to a value of type Rational, so such literals have type
(.Fractional a) => a
Instances
| Fractional CDouble | |
| Fractional CFloat | |
| Fractional Double | This instance implements IEEE 754 standard with all its usual pitfalls about NaN, infinities and negative zero.
Since: base-2.1 |
| Fractional Float | This instance implements IEEE 754 standard with all its usual pitfalls about NaN, infinities and negative zero.
Since: base-2.1 |
| RealFloat a => Fractional (Complex a) | Since: base-2.1 |
| 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 (Op a b) | |
| Fractional (f (g a)) => Fractional (Compose f g a) | Since: base-4.20.0.0 |
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 (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 #
returns the integer nearest truncate xx between zero and x
round :: Integral b => a -> b Source #
returns the nearest integer to round xx;
the even integer if x is equidistant between two integers
ceiling :: Integral b => a -> b Source #
returns the least integer not less than ceiling xx
floor :: Integral b => a -> b Source #
returns the greatest integer not greater than floor xx
Instances
| RealFrac CDouble | |
| RealFrac CFloat | |
| RealFrac Double | Beware that results for non-finite arguments are garbage:
and get even more non-sensical if you ask for Since: base-2.1 |
| RealFrac Float | Beware that results for non-finite arguments are garbage:
and get even more non-sensical if you ask for Since: base-2.1 |
| 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 (f (g a)) => RealFrac (Compose f g a) | Since: base-4.20.0.0 |
Defined in Data.Functor.Compose | |
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
yields 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 .
In particular, floatDigits x. If the type
contains a negative zero, also decodeFloat 0 = (0,0).
The result of decodeFloat (-0.0) = (0,0) is unspecified if either of
decodeFloat x or isNaN x is isInfinite 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) = x is one of the two closest representable
floating-point numbers to encodeFloat 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.
and for finite nonzero exponent 0 = 0x,
.
If exponent x = snd (decodeFloat x) + floatDigits xx is a finite floating-point number, it is equal in value to
, where 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, computes the angle
(from the positive x-axis) of the vector from the origin to the
point atan2 y x(x,y). returns a value in the range [atan2 y x-pi,
pi]. It follows the Common Lisp semantics for the origin when
signed zeroes are supported. , with atan2 y 1y in a type
that is RealFloat, should return the same value as .
A default definition of atan yatan2 is provided, but implementors
can provide a more accurate implementation.
Instances
Data types
The Maybe type encapsulates an optional value. A value of type
either contains a value of type Maybe aa (represented as ),
or it is empty (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
| MonadZip Maybe | Since: base-4.8.0.0 | ||||
| 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 | ||||
| Alternative Maybe | Picks the leftmost Since: base-2.1 | ||||
| Applicative Maybe | Since: base-2.1 | ||||
| Functor Maybe | Since: base-2.1 | ||||
| Monad Maybe | Since: base-2.1 | ||||
| MonadPlus Maybe | Picks the leftmost Since: base-2.1 | ||||
| MonadFail Maybe | Since: base-4.9.0.0 | ||||
| Foldable Maybe | Since: base-2.1 | ||||
Defined in GHC.Internal.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 # | |||||
| Traversable Maybe | Since: base-2.1 | ||||
Defined in GHC.Internal.Data.Traversable | |||||
| Hashable1 Maybe | |||||
Defined in Data.Hashable.Class | |||||
| Generic1 Maybe | |||||
Defined in GHC.Internal.Generics Associated Types
| |||||
| 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) | |||||
Defined in GHC.Internal.Generics Associated Types
| |||||
| SingKind a => SingKind (Maybe a) | Since: base-4.9.0.0 | ||||
Defined in GHC.Internal.Generics Associated Types
| |||||
| Read a => Read (Maybe a) | Since: base-2.1 | ||||
| Show a => Show (Maybe a) | Since: base-2.1 | ||||
| Eq a => Eq (Maybe a) | Since: base-2.1 | ||||
| Ord a => Ord (Maybe a) | Since: base-2.1 | ||||
Defined in GHC.Internal.Maybe | |||||
| Hashable a => Hashable (Maybe a) | |||||
| SingI ('Nothing :: Maybe a) | Since: base-4.9.0.0 | ||||
Defined in GHC.Internal.Generics | |||||
| SingI a2 => SingI ('Just a2 :: Maybe a1) | Since: base-4.9.0.0 | ||||
Defined in GHC.Internal.Generics | |||||
| type Rep1 Maybe | Since: base-4.6.0.0 | ||||
Defined in GHC.Internal.Generics | |||||
| type DemoteRep (Maybe a) | |||||
Defined in GHC.Internal.Generics | |||||
| type Rep (Maybe a) | Since: base-4.6.0.0 | ||||
Defined in GHC.Internal.Generics | |||||
| data Sing (b :: Maybe a) | |||||
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.Internal.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 | |
Defined in GHC.Internal.Generics | |
| Read Ordering | Since: base-2.1 |
| Show Ordering | Since: base-2.1 |
| Eq Ordering | |
| Ord Ordering | |
Defined in GHC.Classes | |
| Hashable Ordering | |
| type Rep Ordering | Since: base-4.6.0.0 |
Instances
| Bounded Bool | Since: base-2.1 | ||||
| Enum Bool | Since: base-2.1 | ||||
| Storable Bool | Since: base-2.1 | ||||
Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Bool -> Int Source # alignment :: Bool -> Int Source # peekElemOff :: Ptr Bool -> Int -> IO Bool Source # pokeElemOff :: Ptr Bool -> Int -> Bool -> IO () Source # peekByteOff :: Ptr b -> Int -> IO Bool Source # pokeByteOff :: Ptr b -> Int -> Bool -> IO () Source # | |||||
| Generic Bool | |||||
Defined in GHC.Internal.Generics | |||||
| SingKind Bool | Since: base-4.9.0.0 | ||||
Defined in GHC.Internal.Generics Associated Types
| |||||
| Read Bool | Since: base-2.1 | ||||
| Show Bool | Since: base-2.1 | ||||
| Eq Bool | |||||
| Ord Bool | |||||
| Hashable Bool | |||||
| Unbox Bool | |||||
Defined in Data.Vector.Unboxed.Base | |||||
| SingI 'False | Since: base-4.9.0.0 | ||||
Defined in GHC.Internal.Generics | |||||
| SingI 'True | Since: base-4.9.0.0 | ||||
Defined in GHC.Internal.Generics | |||||
| Vector Vector Bool | |||||
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: Mutable Vector s Bool -> ST s (Vector Bool) basicUnsafeThaw :: Vector Bool -> ST s (Mutable Vector s Bool) basicLength :: Vector Bool -> Int basicUnsafeSlice :: Int -> Int -> Vector Bool -> Vector Bool basicUnsafeIndexM :: Vector Bool -> Int -> Box Bool basicUnsafeCopy :: Mutable Vector s Bool -> Vector Bool -> ST s () | |||||
| MVector MVector Bool | |||||
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Bool -> Int basicUnsafeSlice :: Int -> Int -> MVector s Bool -> MVector s Bool basicOverlaps :: MVector s Bool -> MVector s Bool -> Bool basicUnsafeNew :: Int -> ST s (MVector s Bool) basicInitialize :: MVector s Bool -> ST s () basicUnsafeReplicate :: Int -> Bool -> ST s (MVector s Bool) basicUnsafeRead :: MVector s Bool -> Int -> ST s Bool basicUnsafeWrite :: MVector s Bool -> Int -> Bool -> ST s () basicClear :: MVector s Bool -> ST s () basicSet :: MVector s Bool -> Bool -> ST s () basicUnsafeCopy :: MVector s Bool -> MVector s Bool -> ST s () basicUnsafeMove :: MVector s Bool -> MVector s Bool -> ST s () basicUnsafeGrow :: MVector s Bool -> Int -> ST s (MVector s Bool) | |||||
| type DemoteRep Bool | |||||
Defined in GHC.Internal.Generics | |||||
| type Rep Bool | Since: base-4.6.0.0 | ||||
| data Sing (a :: Bool) | |||||
| newtype Vector Bool | |||||
Defined in Data.Vector.Unboxed.Base | |||||
| newtype MVector s Bool | |||||
Defined in Data.Vector.Unboxed.Base | |||||
The character type Char represents Unicode codespace
and its elements are code points as in definitions
D9 and D10 of the Unicode Standard.
Character literals in Haskell are single-quoted: 'Q', 'Я' or 'Ω'.
To represent a single quote itself use '\'', and to represent a backslash
use '\\'. The full grammar can be found in the section 2.6 of the
Haskell 2010 Language Report.
To specify a character by its code point one can use decimal, hexadecimal
or octal notation: '\65', '\x41' and '\o101' are all alternative forms
of 'A'. The largest code point is '\x10ffff'.
There is a special escape syntax for ASCII control characters:
| Escape | Alternatives | Meaning |
|---|---|---|
'\NUL' | '\0' | null character |
'\SOH' | '\1' | start of heading |
'\STX' | '\2' | start of text |
'\ETX' | '\3' | end of text |
'\EOT' | '\4' | end of transmission |
'\ENQ' | '\5' | enquiry |
'\ACK' | '\6' | acknowledge |
'\BEL' | '\7', '\a' | bell (alert) |
'\BS' | '\8', '\b' | backspace |
'\HT' | '\9', '\t' | horizontal tab |
'\LF' | '\10', '\n' | line feed (new line) |
'\VT' | '\11', '\v' | vertical tab |
'\FF' | '\12', '\f' | form feed |
'\CR' | '\13', '\r' | carriage return |
'\SO' | '\14' | shift out |
'\SI' | '\15' | shift in |
'\DLE' | '\16' | data link escape |
'\DC1' | '\17' | device control 1 |
'\DC2' | '\18' | device control 2 |
'\DC3' | '\19' | device control 3 |
'\DC4' | '\20' | device control 4 |
'\NAK' | '\21' | negative acknowledge |
'\SYN' | '\22' | synchronous idle |
'\ETB' | '\23' | end of transmission block |
'\CAN' | '\24' | cancel |
'\EM' | '\25' | end of medium |
'\SUB' | '\26' | substitute |
'\ESC' | '\27' | escape |
'\FS' | '\28' | file separator |
'\GS' | '\29' | group separator |
'\RS' | '\30' | record separator |
'\US' | '\31' | unit separator |
'\SP' | '\32', ' ' | space |
'\DEL' | '\127' | delete |
Instances
| IsChar Char | Since: base-2.1 | ||||
| PrintfArg Char | Since: base-2.1 | ||||
Defined in Text.Printf | |||||
| Bounded Char | Since: base-2.1 | ||||
| Enum Char | Since: base-2.1 | ||||
| Storable Char | Since: base-2.1 | ||||
Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Char -> Int Source # alignment :: Char -> Int Source # peekElemOff :: Ptr Char -> Int -> IO Char Source # pokeElemOff :: Ptr Char -> Int -> Char -> IO () Source # peekByteOff :: Ptr b -> Int -> IO Char Source # pokeByteOff :: Ptr b -> Int -> Char -> IO () Source # | |||||
| Read Char | Since: base-2.1 | ||||
| Show Char | Since: base-2.1 | ||||
| Eq Char | |||||
| Ord Char | |||||
| Hashable Char | |||||
| Unbox Char | |||||
Defined in Data.Vector.Unboxed.Base | |||||
| Vector Vector Char | |||||
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: Mutable Vector s Char -> ST s (Vector Char) basicUnsafeThaw :: Vector Char -> ST s (Mutable Vector s Char) basicLength :: Vector Char -> Int basicUnsafeSlice :: Int -> Int -> Vector Char -> Vector Char basicUnsafeIndexM :: Vector Char -> Int -> Box Char basicUnsafeCopy :: Mutable Vector s Char -> Vector Char -> ST s () | |||||
| MVector MVector Char | |||||
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Char -> Int basicUnsafeSlice :: Int -> Int -> MVector s Char -> MVector s Char basicOverlaps :: MVector s Char -> MVector s Char -> Bool basicUnsafeNew :: Int -> ST s (MVector s Char) basicInitialize :: MVector s Char -> ST s () basicUnsafeReplicate :: Int -> Char -> ST s (MVector s Char) basicUnsafeRead :: MVector s Char -> Int -> ST s Char basicUnsafeWrite :: MVector s Char -> Int -> Char -> ST s () basicClear :: MVector s Char -> ST s () basicSet :: MVector s Char -> Char -> ST s () basicUnsafeCopy :: MVector s Char -> MVector s Char -> ST s () basicUnsafeMove :: MVector s Char -> MVector s Char -> ST s () basicUnsafeGrow :: MVector s Char -> Int -> ST s (MVector s Char) | |||||
| Generic1 (URec Char :: k -> Type) | |||||
Defined in GHC.Internal.Generics Associated Types
| |||||
| Foldable (UChar :: Type -> Type) | Since: base-4.9.0.0 | ||||
Defined in GHC.Internal.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 # | |||||
| Traversable (UChar :: Type -> Type) | Since: base-4.9.0.0 | ||||
Defined in GHC.Internal.Data.Traversable | |||||
| Functor (URec Char :: Type -> Type) | Since: base-4.9.0.0 | ||||
| Generic (URec Char p) | |||||
Defined in GHC.Internal.Generics Associated Types
| |||||
| Show (URec Char p) | Since: base-4.9.0.0 | ||||
| Eq (URec Char p) | Since: base-4.9.0.0 | ||||
| Ord (URec Char p) | Since: base-4.9.0.0 | ||||
Defined in GHC.Internal.Generics Methods compare :: URec Char p -> URec Char p -> Ordering Source # (<) :: URec Char p -> URec Char p -> Bool Source # (<=) :: URec Char p -> URec Char p -> Bool Source # (>) :: URec Char p -> URec Char p -> Bool Source # (>=) :: URec Char p -> URec Char p -> Bool Source # | |||||
| newtype Vector Char | |||||
Defined in Data.Vector.Unboxed.Base | |||||
| data URec Char (p :: k) | Used for marking occurrences of Since: base-4.9.0.0 | ||||
| newtype MVector s Char | |||||
Defined in Data.Vector.Unboxed.Base | |||||
| type Rep1 (URec Char :: k -> Type) | Since: base-4.9.0.0 | ||||
Defined in GHC.Internal.Generics | |||||
| type Rep (URec Char p) | Since: base-4.9.0.0 | ||||
Defined in GHC.Internal.Generics | |||||
A value of type is a computation which, when performed,
does some I/O before returning 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
| MonadIO IO | Since: base-4.9.0.0 |
| Alternative IO | Takes the first non-throwing Since: base-4.9.0.0 |
| Applicative IO | Since: base-2.1 |
| Functor IO | Since: base-2.1 |
| Monad IO | Since: base-2.1 |
| MonadPlus IO | Takes the first non-throwing Since: base-4.9.0.0 |
| MonadFail IO | Since: base-4.9.0.0 |
| PrimBase IO | |
| PrimMonad IO | |
| a ~ () => HPrintfType (IO a) | Since: base-4.7.0.0 |
Defined in Text.Printf | |
| a ~ () => PrintfType (IO a) | Since: base-4.7.0.0 |
Defined in Text.Printf | |
| Monoid a => Monoid (IO a) | Since: base-4.9.0.0 |
| Semigroup a => Semigroup (IO a) | Since: base-4.10.0.0 |
| type PrimState IO | |
Defined in Control.Monad.Primitive | |
The Either type represents values with two possibilities: a value of
type is either Either a b or Left a.Right b
The Either type is sometimes used to represent a value which is
either correct or an error; by convention, the Left constructor is
used to hold an error value and the Right constructor is used to
hold a correct value (mnemonic: "right" also means "correct").
Examples
The type is the type of values which can be either
a 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
Re-exports
Packed reps
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
| NFData ByteString | |||||
Defined in Data.ByteString.Internal.Type Methods rnf :: ByteString -> () Source # | |||||
| Monoid ByteString | |||||
Defined in Data.ByteString.Internal.Type Methods mempty :: ByteString Source # mappend :: ByteString -> ByteString -> ByteString Source # mconcat :: [ByteString] -> ByteString Source # | |||||
| Semigroup ByteString | |||||
Defined in Data.ByteString.Internal.Type Methods (<>) :: ByteString -> ByteString -> ByteString Source # sconcat :: NonEmpty ByteString -> ByteString Source # stimes :: Integral b => b -> ByteString -> ByteString Source # | |||||
| Data ByteString | |||||
Defined in Data.ByteString.Internal.Type Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> ByteString -> c ByteString Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c ByteString Source # toConstr :: ByteString -> Constr Source # dataTypeOf :: ByteString -> DataType Source # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c ByteString) Source # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ByteString) Source # gmapT :: (forall b. Data b => b -> b) -> ByteString -> ByteString Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> ByteString -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> ByteString -> r Source # gmapQ :: (forall d. Data d => d -> u) -> ByteString -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> ByteString -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> ByteString -> m ByteString Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> ByteString -> m ByteString Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> ByteString -> m ByteString Source # | |||||
| IsString ByteString | Beware: | ||||
Defined in Data.ByteString.Internal.Type Methods fromString :: String -> ByteString Source # | |||||
| IsList ByteString | Since: bytestring-0.10.12.0 | ||||
Defined in Data.ByteString.Internal.Type Associated Types
Methods fromList :: [Item ByteString] -> ByteString Source # fromListN :: Int -> [Item ByteString] -> ByteString Source # toList :: ByteString -> [Item ByteString] Source # | |||||
| Read ByteString | |||||
Defined in Data.ByteString.Internal.Type | |||||
| Show ByteString | |||||
Defined in Data.ByteString.Internal.Type | |||||
| Eq ByteString | |||||
Defined in Data.ByteString.Internal.Type Methods (==) :: ByteString -> ByteString -> Bool Source # (/=) :: ByteString -> ByteString -> Bool Source # | |||||
| Ord ByteString | |||||
Defined in Data.ByteString.Internal.Type Methods compare :: ByteString -> ByteString -> Ordering Source # (<) :: ByteString -> ByteString -> Bool Source # (<=) :: ByteString -> ByteString -> Bool Source # (>) :: ByteString -> ByteString -> Bool Source # (>=) :: ByteString -> ByteString -> Bool Source # max :: ByteString -> ByteString -> ByteString Source # min :: ByteString -> ByteString -> ByteString Source # | |||||
| Hashable ByteString | |||||
Defined in Data.Hashable.Class | |||||
| Lift ByteString | Since: bytestring-0.11.2.0 | ||||
Defined in Data.ByteString.Internal.Type Methods lift :: Quote m => ByteString -> m Exp Source # liftTyped :: forall (m :: Type -> Type). Quote m => ByteString -> Code m ByteString Source # | |||||
| type Item ByteString | |||||
Defined in Data.ByteString.Internal.Type | |||||
type LByteString = ByteString Source #
A space efficient, packed, unboxed Unicode text type.
Instances
| PrintfArg Text | Since: text-1.2.2.0 |
Defined in Data.Text | |
| Binary Text | Since: text-1.2.1.0 |
| NFData Text | |
| Monoid Text | |
| Semigroup Text | Beware: Since: text-1.2.2.0 |
| Data Text | This instance preserves data abstraction at the cost of inefficiency. We omit reflection services for the sake of data abstraction. This instance was created by copying the updated behavior of
The original discussion is archived here: could we get a Data instance for Data.Text.Text? The followup discussion that changed the behavior of |
Defined in Data.Text Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Text -> c Text Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Text Source # toConstr :: Text -> Constr Source # dataTypeOf :: Text -> DataType Source # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Text) Source # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Text) Source # gmapT :: (forall b. Data b => b -> b) -> Text -> Text Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Text -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Text -> r Source # gmapQ :: (forall d. Data d => d -> u) -> Text -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> Text -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Text -> m Text Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Text -> m Text Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Text -> m Text Source # | |
| IsString Text | Performs replacement on invalid scalar values:
|
| IsList Text | Performs replacement on invalid scalar values:
Since: text-1.2.0.0 |
| Read Text | |
| Show Text | |
| Eq Text | |
| Ord Text | |
| Hashable Text | |
| Lift Text | Since: text-1.2.4.0 |
| type Item Text | |
Containers
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 |
| (Lift k, Lift a) => Lift (Map k a :: Type) | Since: containers-0.6.6 |
| 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 |
| Functor (Map k) | |
| 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 # | |
| Traversable (Map k) | Traverses in order of increasing key. |
| Hashable k => Hashable1 (Map k) | Since: hashable-1.3.4.0 |
Defined in Data.Hashable.Class | |
| (NFData k, NFData a) => NFData (Map k a) | |
Defined in Data.Map.Internal | |
| Ord k => Monoid (Map k v) | |
| Ord k => Semigroup (Map k v) | |
| (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 => 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) | |
| (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 |
| type Item (Map k v) | |
Defined in Data.Map.Internal | |
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 | |||||
| (Lift k, Lift v) => Lift (HashMap k v :: Type) | Since: unordered-containers-0.2.17.0 | ||||
| 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) | |||||
| NFData k => NFData1 (HashMap k) | Since: unordered-containers-0.2.14.0 | ||||
Defined in Data.HashMap.Internal | |||||
| Functor (HashMap k) | |||||
| 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 # | |||||
| 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 # | |||||
| Hashable k => Hashable1 (HashMap k) | |||||
Defined in Data.HashMap.Internal | |||||
| (NFData k, NFData v) => NFData (HashMap k v) | |||||
Defined in Data.HashMap.Internal | |||||
| (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
| ||||
| (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) => IsList (HashMap k v) | |||||
Defined in Data.HashMap.Internal Associated Types
| |||||
| (Eq k, Hashable k, Read k, Read e) => Read (HashMap k e) | |||||
| (Show k, Show v) => Show (HashMap k v) | |||||
| (Eq k, Eq v) => Eq (HashMap k v) | Note that, in the presence of hash collisions, equal
In general, the lack of extensionality 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) | |||||
| type Item (HashMap k v) | |||||
Defined in Data.HashMap.Internal | |||||
A map of integers to values a.
Instances
| Eq1 IntMap | Since: containers-0.5.9 |
| Ord1 IntMap | Since: containers-0.5.9 |
Defined in Data.IntMap.Internal | |
| Read1 IntMap | Since: containers-0.5.9 |
Defined in Data.IntMap.Internal Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (IntMap a) Source # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [IntMap a] Source # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (IntMap a) Source # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [IntMap a] Source # | |
| Show1 IntMap | Since: containers-0.5.9 |
| Functor IntMap | |
| 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 # | |
| Traversable IntMap | Traverses in order of increasing key. |
Defined in Data.IntMap.Internal | |
| Hashable1 IntMap | Since: hashable-1.3.4.0 |
Defined in Data.Hashable.Class | |
| Lift a => Lift (IntMap a :: Type) | Since: containers-0.6.6 |
| NFData a => NFData (IntMap a) | |
Defined in Data.IntMap.Internal | |
| Monoid (IntMap a) | |
| Semigroup (IntMap a) | Since: containers-0.5.7 |
| Data a => Data (IntMap a) | |
Defined in Data.IntMap.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> IntMap a -> c (IntMap a) Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (IntMap a) Source # toConstr :: IntMap a -> Constr Source # dataTypeOf :: IntMap a -> DataType Source # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (IntMap a)) Source # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (IntMap a)) Source # gmapT :: (forall b. Data b => b -> b) -> IntMap a -> IntMap a Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> IntMap a -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> IntMap a -> r Source # gmapQ :: (forall d. Data d => d -> u) -> IntMap a -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> IntMap a -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> IntMap a -> m (IntMap a) Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> IntMap a -> m (IntMap a) Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> IntMap a -> m (IntMap a) Source # | |
| IsList (IntMap a) | Since: containers-0.5.6.2 |
| Read e => Read (IntMap e) | |
| Show a => Show (IntMap a) | |
| Eq a => Eq (IntMap a) | |
| Ord a => Ord (IntMap a) | |
Defined in Data.IntMap.Internal | |
| Hashable v => Hashable (IntMap v) | Since: hashable-1.3.4.0 |
| type Item (IntMap a) | |
Defined in Data.IntMap.Internal | |
A set of values a.
Instances
| 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 |
| 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 # | |
| Hashable1 Set | Since: hashable-1.3.4.0 |
Defined in Data.Hashable.Class | |
| Lift a => Lift (Set a :: Type) | Since: containers-0.6.6 |
| NFData a => NFData (Set a) | |
Defined in Data.Set.Internal | |
| Ord a => Monoid (Set a) | |
| Ord a => Semigroup (Set a) | Since: containers-0.5.7 |
| (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 => IsList (Set a) | Since: containers-0.5.6.2 |
| (Read a, Ord a) => Read (Set a) | |
| Show a => Show (Set a) | |
| 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 |
| type Item (Set a) | |
Defined in Data.Set.Internal | |
A set of values. A set cannot contain duplicate values.
Instances
| 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 | |||||
| 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 # | |||||
| Hashable1 HashSet | |||||
Defined in Data.HashSet.Internal | |||||
| Lift a => Lift (HashSet a :: Type) | Since: unordered-containers-0.2.17.0 | ||||
| NFData a => NFData (HashSet a) | |||||
Defined in Data.HashSet.Internal | |||||
| (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
| ||||
| (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 # | |||||
| (Eq a, Hashable a) => IsList (HashSet a) | |||||
Defined in Data.HashSet.Internal Associated Types
| |||||
| (Eq a, Hashable a, Read a) => Read (HashSet a) | |||||
| Show a => Show (HashSet a) | |||||
| Eq a => Eq (HashSet a) | Note that, in the presence of hash collisions, equal
In general, the lack of extensionality 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) | |||||
| type Item (HashSet a) | |||||
Defined in Data.HashSet.Internal | |||||
A set of integers.
Instances
| NFData IntSet | |
Defined in Data.IntSet.Internal | |
| Monoid IntSet | |
| Semigroup IntSet | Since: containers-0.5.7 |
| Data IntSet | |
Defined in Data.IntSet.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> IntSet -> c IntSet Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c IntSet Source # toConstr :: IntSet -> Constr Source # dataTypeOf :: IntSet -> DataType Source # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c IntSet) Source # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c IntSet) Source # gmapT :: (forall b. Data b => b -> b) -> IntSet -> IntSet Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> IntSet -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> IntSet -> r Source # gmapQ :: (forall d. Data d => d -> u) -> IntSet -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> IntSet -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> IntSet -> m IntSet Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> IntSet -> m IntSet Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> IntSet -> m IntSet Source # | |
| IsList IntSet | Since: containers-0.5.6.2 |
| Read IntSet | |
| Show IntSet | |
| Eq IntSet | |
| Ord IntSet | |
| Hashable IntSet | Since: hashable-1.3.4.0 |
| Lift IntSet | Since: containers-0.6.6 |
| type Item IntSet | |
Defined in Data.IntSet.Internal | |
General-purpose finite sequences.
Instances
| MonadZip Seq |
Since: containers-0.5.10.1 |
| 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 |
| UnzipWith Seq | |
Defined in Data.Sequence.Internal Methods unzipWith' :: (x -> (a, b)) -> Seq x -> (Seq a, Seq b) | |
| Alternative Seq | Since: containers-0.5.4 |
| Applicative Seq | Since: containers-0.5.4 |
| Functor Seq | |
| Monad Seq | |
| MonadPlus Seq | |
| MonadFix Seq | Since: containers-0.5.11 |
| 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 # | |
| Traversable Seq | |
| Hashable1 Seq | Since: hashable-1.3.4.0 |
Defined in Data.Hashable.Class | |
| Lift a => Lift (Seq a :: Type) | Since: containers-0.6.6 |
| NFData a => NFData (Seq a) | |
Defined in Data.Sequence.Internal | |
| Monoid (Seq a) | |
| Semigroup (Seq a) | Since: containers-0.5.7 |
| 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 # | |
| IsList (Seq a) | |
| Read a => Read (Seq a) | |
| Show a => Show (Seq a) | |
| 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 |
| type Item (Seq a) | |
Defined in Data.Sequence.Internal | |
Instances
| MonadZip Vector | |
| Eq1 Vector | |
| Ord1 Vector | |
Defined in Data.Vector | |
| Read1 Vector | |
Defined in Data.Vector Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Vector a) Source # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Vector a] Source # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Vector a) Source # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Vector a] Source # | |
| Show1 Vector | |
| NFData1 Vector | |
Defined in Data.Vector | |
| Alternative Vector | |
| Applicative Vector | |
| Functor Vector | |
| Monad Vector | |
| MonadPlus Vector | |
| MonadFail Vector | |
| MonadFix Vector | |
| 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 # | |
| Traversable Vector | |
| Vector Vector a | |
Defined in Data.Vector Methods basicUnsafeFreeze :: Mutable Vector s a -> ST s (Vector a) basicUnsafeThaw :: Vector a -> ST s (Mutable Vector s a) basicLength :: Vector a -> Int basicUnsafeSlice :: Int -> Int -> Vector a -> Vector a basicUnsafeIndexM :: Vector a -> Int -> Box a basicUnsafeCopy :: Mutable Vector s a -> Vector a -> ST s () | |
| NFData a => NFData (Vector a) | |
Defined in Data.Vector | |
| Monoid (Vector a) | |
| Semigroup (Vector a) | |
| Data a => Data (Vector a) | |
Defined in Data.Vector Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Vector a -> c (Vector a) Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Vector a) Source # toConstr :: Vector a -> Constr Source # dataTypeOf :: Vector a -> DataType Source # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Vector a)) Source # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Vector a)) Source # gmapT :: (forall b. Data b => b -> b) -> Vector a -> Vector a Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Vector a -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Vector a -> r Source # gmapQ :: (forall d. Data d => d -> u) -> Vector a -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> Vector a -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Vector a -> m (Vector a) Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Vector a -> m (Vector a) Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Vector a -> m (Vector a) Source # | |
| IsList (Vector a) | |
| Read a => Read (Vector a) | |
| Show a => Show (Vector a) | |
| Eq a => Eq (Vector a) | |
| Ord a => Ord (Vector a) | |
Defined in Data.Vector | |
| type Mutable Vector | |
Defined in Data.Vector type Mutable Vector = MVector | |
| type Item (Vector a) | |
Defined in Data.Vector | |
class (Vector Vector a, MVector MVector a) => Unbox a #
Instances
| Unbox All | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox Any | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox Int16 | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox Int32 | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox Int64 | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox Int8 | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox Word16 | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox Word32 | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox Word64 | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox Word8 | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox () | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox Bool | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox Char | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox Double | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox Float | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox Int | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox Word | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox a => Unbox (Complex a) | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox a => Unbox (First a) | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox a => Unbox (Last a) | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox a => Unbox (Max a) | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox a => Unbox (Min a) | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox a => Unbox (WrappedMonoid a) | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox a => Unbox (Identity a) | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox a => Unbox (Down a) | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox a => Unbox (Dual a) | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox a => Unbox (Product a) | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox a => Unbox (Sum a) | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox (DoNotUnboxLazy a) | |
Defined in Data.Vector.Unboxed.Base | |
| NFData a => Unbox (DoNotUnboxNormalForm a) | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox (DoNotUnboxStrict a) | |
Defined in Data.Vector.Unboxed.Base | |
| (Unbox a, Unbox b) => Unbox (Arg a b) | |
Defined in Data.Vector.Unboxed.Base | |
| (Unbox a, Unbox b) => Unbox (a, b) | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox a => Unbox (Const a b) | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox (f a) => Unbox (Alt f a) | |
Defined in Data.Vector.Unboxed.Base | |
| (Unbox a, Unbox b, Unbox c) => Unbox (a, b, c) | |
Defined in Data.Vector.Unboxed.Base | |
| (Unbox a, Unbox b, Unbox c, Unbox d) => Unbox (a, b, c, d) | |
Defined in Data.Vector.Unboxed.Base | |
| Unbox (f (g a)) => Unbox (Compose f g a) | |
Defined in Data.Vector.Unboxed.Base | |
| (Unbox a, Unbox b, Unbox c, Unbox d, Unbox e) => Unbox (a, b, c, d, e) | |
Defined in Data.Vector.Unboxed.Base | |
| (Unbox a, Unbox b, Unbox c, Unbox d, Unbox e, Unbox f) => Unbox (a, b, c, d, e, f) | |
Defined in Data.Vector.Unboxed.Base | |
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 , for some
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
| Storable Fingerprint | Since: base-4.4.0.0 |
Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Fingerprint -> Int Source # alignment :: Fingerprint -> Int Source # peekElemOff :: Ptr Fingerprint -> Int -> IO Fingerprint Source # pokeElemOff :: Ptr Fingerprint -> Int -> Fingerprint -> IO () Source # peekByteOff :: Ptr b -> Int -> IO Fingerprint Source # pokeByteOff :: Ptr b -> Int -> Fingerprint -> IO () Source # peek :: Ptr Fingerprint -> IO Fingerprint Source # poke :: Ptr Fingerprint -> Fingerprint -> IO () Source # | |
| Storable CBool | |
Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CBool -> Int Source # alignment :: CBool -> Int Source # peekElemOff :: Ptr CBool -> Int -> IO CBool Source # pokeElemOff :: Ptr CBool -> Int -> CBool -> IO () Source # peekByteOff :: Ptr b -> Int -> IO CBool Source # pokeByteOff :: Ptr b -> Int -> CBool -> IO () Source # | |
| Storable CChar | |
Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CChar -> Int Source # alignment :: CChar -> Int Source # peekElemOff :: Ptr CChar -> Int -> IO CChar Source # pokeElemOff :: Ptr CChar -> Int -> CChar -> IO () Source # peekByteOff :: Ptr b -> Int -> IO CChar Source # pokeByteOff :: Ptr b -> Int -> CChar -> IO () Source # | |
| Storable CClock | |
Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CClock -> Int Source # alignment :: CClock -> Int Source # peekElemOff :: Ptr CClock -> Int -> IO CClock Source # pokeElemOff :: Ptr CClock -> Int -> CClock -> IO () Source # peekByteOff :: Ptr b -> Int -> IO CClock Source # pokeByteOff :: Ptr b -> Int -> CClock -> IO () Source # | |
| Storable CDouble | |
Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CDouble -> Int Source # alignment :: CDouble -> Int Source # peekElemOff :: Ptr CDouble -> Int -> IO CDouble Source # pokeElemOff :: Ptr CDouble -> Int -> CDouble -> IO () Source # peekByteOff :: Ptr b -> Int -> IO CDouble Source # pokeByteOff :: Ptr b -> Int -> CDouble -> IO () Source # | |
| Storable CFloat | |
Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CFloat -> Int Source # alignment :: CFloat -> Int Source # peekElemOff :: Ptr CFloat -> Int -> IO CFloat Source # pokeElemOff :: Ptr CFloat -> Int -> CFloat -> IO () Source # peekByteOff :: Ptr b -> Int -> IO CFloat Source # pokeByteOff :: Ptr b -> Int -> CFloat -> IO () Source # | |
| Storable CInt | |
Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CInt -> Int Source # alignment :: CInt -> Int Source # peekElemOff :: Ptr CInt -> Int -> IO CInt Source # pokeElemOff :: Ptr CInt -> Int -> CInt -> IO () Source # peekByteOff :: Ptr b -> Int -> IO CInt Source # pokeByteOff :: Ptr b -> Int -> CInt -> IO () Source # | |
| Storable CIntMax | |
Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CIntMax -> Int Source # alignment :: CIntMax -> Int Source # peekElemOff :: Ptr CIntMax -> Int -> IO CIntMax Source # pokeElemOff :: Ptr CIntMax -> Int -> CIntMax -> IO () Source # peekByteOff :: Ptr b -> Int -> IO CIntMax Source # pokeByteOff :: Ptr b -> Int -> CIntMax -> IO () Source # | |
| Storable CIntPtr | |
Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CIntPtr -> Int Source # alignment :: CIntPtr -> Int Source # peekElemOff :: Ptr CIntPtr -> Int -> IO CIntPtr Source # pokeElemOff :: Ptr CIntPtr -> Int -> CIntPtr -> IO () Source # peekByteOff :: Ptr b -> Int -> IO CIntPtr Source # pokeByteOff :: Ptr b -> Int -> CIntPtr -> IO () Source # | |
| Storable CLLong | |
Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CLLong -> Int Source # alignment :: CLLong -> Int Source # peekElemOff :: Ptr CLLong -> Int -> IO CLLong Source # pokeElemOff :: Ptr CLLong -> Int -> CLLong -> IO () Source # peekByteOff :: Ptr b -> Int -> IO CLLong Source # pokeByteOff :: Ptr b -> Int -> CLLong -> IO () Source # | |
| Storable CLong | |
Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CLong -> Int Source # alignment :: CLong -> Int Source # peekElemOff :: Ptr CLong -> Int -> IO CLong Source # pokeElemOff :: Ptr CLong -> Int -> CLong -> IO () Source # peekByteOff :: Ptr b -> Int -> IO CLong Source # pokeByteOff :: Ptr b -> Int -> CLong -> IO () Source # | |
| Storable CPtrdiff | |
Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CPtrdiff -> Int Source # alignment :: CPtrdiff -> Int Source # peekElemOff :: Ptr CPtrdiff -> Int -> IO CPtrdiff Source # pokeElemOff :: Ptr CPtrdiff -> Int -> CPtrdiff -> IO () Source # peekByteOff :: Ptr b -> Int -> IO CPtrdiff Source # pokeByteOff :: Ptr b -> Int -> CPtrdiff -> IO () Source # | |
| Storable CSChar | |
Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CSChar -> Int Source # alignment :: CSChar -> Int Source # peekElemOff :: Ptr CSChar -> Int -> IO CSChar Source # pokeElemOff :: Ptr CSChar -> Int -> CSChar -> IO () Source # peekByteOff :: Ptr b -> Int -> IO CSChar Source # pokeByteOff :: Ptr b -> Int -> CSChar -> IO () Source # | |
| Storable CSUSeconds | |
Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CSUSeconds -> Int Source # alignment :: CSUSeconds -> Int Source # peekElemOff :: Ptr CSUSeconds -> Int -> IO CSUSeconds Source # pokeElemOff :: Ptr CSUSeconds -> Int -> CSUSeconds -> IO () Source # peekByteOff :: Ptr b -> Int -> IO CSUSeconds Source # pokeByteOff :: Ptr b -> Int -> CSUSeconds -> IO () Source # peek :: Ptr CSUSeconds -> IO CSUSeconds Source # poke :: Ptr CSUSeconds -> CSUSeconds -> IO () Source # | |
| Storable CShort | |
Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CShort -> Int Source # alignment :: CShort -> Int Source # peekElemOff :: Ptr CShort -> Int -> IO CShort Source # pokeElemOff :: Ptr CShort -> Int -> CShort -> IO () Source # peekByteOff :: Ptr b -> Int -> IO CShort Source # pokeByteOff :: Ptr b -> Int -> CShort -> IO () Source # | |
| Storable CSigAtomic | |
Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CSigAtomic -> Int Source # alignment :: CSigAtomic -> Int Source # peekElemOff :: Ptr CSigAtomic -> Int -> IO CSigAtomic Source # pokeElemOff :: Ptr CSigAtomic -> Int -> CSigAtomic -> IO () Source # peekByteOff :: Ptr b -> Int -> IO CSigAtomic Source # pokeByteOff :: Ptr b -> Int -> CSigAtomic -> IO () Source # peek :: Ptr CSigAtomic -> IO CSigAtomic Source # poke :: Ptr CSigAtomic -> CSigAtomic -> IO () Source # | |
| Storable CSize | |
Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CSize -> Int Source # alignment :: CSize -> Int Source # peekElemOff :: Ptr CSize -> Int -> IO CSize Source # pokeElemOff :: Ptr CSize -> Int -> CSize -> IO () Source # peekByteOff :: Ptr b -> Int -> IO CSize Source # pokeByteOff :: Ptr b -> Int -> CSize -> IO () Source # | |
| Storable CTime | |
Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CTime -> Int Source # alignment :: CTime -> Int Source # peekElemOff :: Ptr CTime -> Int -> IO CTime Source # pokeElemOff :: Ptr CTime -> Int -> CTime -> IO () Source # peekByteOff :: Ptr b -> Int -> IO CTime Source # pokeByteOff :: Ptr b -> Int -> CTime -> IO () Source # | |
| Storable CUChar | |
Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CUChar -> Int Source # alignment :: CUChar -> Int Source # peekElemOff :: Ptr CUChar -> Int -> IO CUChar Source # pokeElemOff :: Ptr CUChar -> Int -> CUChar -> IO () Source # peekByteOff :: Ptr b -> Int -> IO CUChar Source # pokeByteOff :: Ptr b -> Int -> CUChar -> IO () Source # | |
| Storable CUInt | |
Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CUInt -> Int Source # alignment :: CUInt -> Int Source # peekElemOff :: Ptr CUInt -> Int -> IO CUInt Source # pokeElemOff :: Ptr CUInt -> Int -> CUInt -> IO () Source # peekByteOff :: Ptr b -> Int -> IO CUInt Source # pokeByteOff :: Ptr b -> Int -> CUInt -> IO () Source # | |
| Storable CUIntMax | |
Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CUIntMax -> Int Source # alignment :: CUIntMax -> Int Source # peekElemOff :: Ptr CUIntMax -> Int -> IO CUIntMax Source # pokeElemOff :: Ptr CUIntMax -> Int -> CUIntMax -> IO () Source # peekByteOff :: Ptr b -> Int -> IO CUIntMax Source # pokeByteOff :: Ptr b -> Int -> CUIntMax -> IO () Source # | |
| Storable CUIntPtr | |
Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CUIntPtr -> Int Source # alignment :: CUIntPtr -> Int Source # peekElemOff :: Ptr CUIntPtr -> Int -> IO CUIntPtr Source # pokeElemOff :: Ptr CUIntPtr -> Int -> CUIntPtr -> IO () Source # peekByteOff :: Ptr b -> Int -> IO CUIntPtr Source # pokeByteOff :: Ptr b -> Int -> CUIntPtr -> IO () Source # | |
| Storable CULLong | |
Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CULLong -> Int Source # alignment :: CULLong -> Int Source # peekElemOff :: Ptr CULLong -> Int -> IO CULLong Source # pokeElemOff :: Ptr CULLong -> Int -> CULLong -> IO () Source # peekByteOff :: Ptr b -> Int -> IO CULLong Source # pokeByteOff :: Ptr b -> Int -> CULLong -> IO () Source # | |
| Storable CULong | |
Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CULong -> Int Source # alignment :: CULong -> Int Source # peekElemOff :: Ptr CULong -> Int -> IO CULong Source # pokeElemOff :: Ptr CULong -> Int -> CULong -> IO () Source # peekByteOff :: Ptr b -> Int -> IO CULong Source # pokeByteOff :: Ptr b -> Int -> CULong -> IO () Source # | |
| Storable CUSeconds | |
Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CUSeconds -> Int Source # alignment :: CUSeconds -> Int Source # peekElemOff :: Ptr CUSeconds -> Int -> IO CUSeconds Source # pokeElemOff :: Ptr CUSeconds -> Int -> CUSeconds -> IO () Source # peekByteOff :: Ptr b -> Int -> IO CUSeconds Source # pokeByteOff :: Ptr b -> Int -> CUSeconds -> IO () Source # | |
| Storable CUShort | |
Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CUShort -> Int Source # alignment :: CUShort -> Int Source # peekElemOff :: Ptr CUShort -> Int -> IO CUShort Source # pokeElemOff :: Ptr CUShort -> Int -> CUShort -> IO () Source # peekByteOff :: Ptr b -> Int -> IO CUShort Source # pokeByteOff :: Ptr b -> Int -> CUShort -> IO () Source # | |
| Storable CWchar | |
Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CWchar -> Int Source # alignment :: CWchar -> Int Source # peekElemOff :: Ptr CWchar -> Int -> IO CWchar Source # pokeElemOff :: Ptr CWchar -> Int -> CWchar -> IO () Source # peekByteOff :: Ptr b -> Int -> IO CWchar Source # pokeByteOff :: Ptr b -> Int -> CWchar -> IO () Source # | |
| Storable Int16 | Since: base-2.1 |
Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Int16 -> Int Source # alignment :: Int16 -> Int Source # peekElemOff :: Ptr Int16 -> Int -> IO Int16 Source # pokeElemOff :: Ptr Int16 -> Int -> Int16 -> IO () Source # peekByteOff :: Ptr b -> Int -> IO Int16 Source # pokeByteOff :: Ptr b -> Int -> Int16 -> IO () Source # | |
| Storable Int32 | Since: base-2.1 |
Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Int32 -> Int Source # alignment :: Int32 -> Int Source # peekElemOff :: Ptr Int32 -> Int -> IO Int32 Source # pokeElemOff :: Ptr Int32 -> Int -> Int32 -> IO () Source # peekByteOff :: Ptr b -> Int -> IO Int32 Source # pokeByteOff :: Ptr b -> Int -> Int32 -> IO () Source # | |
| Storable Int64 | Since: base-2.1 |
Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Int64 -> Int Source # alignment :: Int64 -> Int Source # peekElemOff :: Ptr Int64 -> Int -> IO Int64 Source # pokeElemOff :: Ptr Int64 -> Int -> Int64 -> IO () Source # peekByteOff :: Ptr b -> Int -> IO Int64 Source # pokeByteOff :: Ptr b -> Int -> Int64 -> IO () Source # | |
| Storable Int8 | Since: base-2.1 |
Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Int8 -> Int Source # alignment :: Int8 -> Int Source # peekElemOff :: Ptr Int8 -> Int -> IO Int8 Source # pokeElemOff :: Ptr Int8 -> Int -> Int8 -> IO () Source # peekByteOff :: Ptr b -> Int -> IO Int8 Source # pokeByteOff :: Ptr b -> Int -> Int8 -> IO () Source # | |
| Storable Word16 | Since: base-2.1 |
Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Word16 -> Int Source # alignment :: Word16 -> Int Source # peekElemOff :: Ptr Word16 -> Int -> IO Word16 Source # pokeElemOff :: Ptr Word16 -> Int -> Word16 -> IO () Source # peekByteOff :: Ptr b -> Int -> IO Word16 Source # pokeByteOff :: Ptr b -> Int -> Word16 -> IO () Source # | |
| Storable Word32 | Since: base-2.1 |
Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Word32 -> Int Source # alignment :: Word32 -> Int Source # peekElemOff :: Ptr Word32 -> Int -> IO Word32 Source # pokeElemOff :: Ptr Word32 -> Int -> Word32 -> IO () Source # peekByteOff :: Ptr b -> Int -> IO Word32 Source # pokeByteOff :: Ptr b -> Int -> Word32 -> IO () Source # | |
| Storable Word64 | Since: base-2.1 |
Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Word64 -> Int Source # alignment :: Word64 -> Int Source # peekElemOff :: Ptr Word64 -> Int -> IO Word64 Source # pokeElemOff :: Ptr Word64 -> Int -> Word64 -> IO () Source # peekByteOff :: Ptr b -> Int -> IO Word64 Source # pokeByteOff :: Ptr b -> Int -> Word64 -> IO () Source # | |
| Storable Word8 | Since: base-2.1 |
Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Word8 -> Int Source # alignment :: Word8 -> Int Source # peekElemOff :: Ptr Word8 -> Int -> IO Word8 Source # pokeElemOff :: Ptr Word8 -> Int -> Word8 -> IO () Source # peekByteOff :: Ptr b -> Int -> IO Word8 Source # pokeByteOff :: Ptr b -> Int -> Word8 -> IO () Source # | |
| Storable () | Since: base-4.9.0.0 |
Defined in GHC.Internal.Foreign.Storable | |
| Storable Bool | Since: base-2.1 |
Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Bool -> Int Source # alignment :: Bool -> Int Source # peekElemOff :: Ptr Bool -> Int -> IO Bool Source # pokeElemOff :: Ptr Bool -> Int -> Bool -> IO () Source # peekByteOff :: Ptr b -> Int -> IO Bool Source # pokeByteOff :: Ptr b -> Int -> Bool -> IO () Source # | |
| Storable Char | Since: base-2.1 |
Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Char -> Int Source # alignment :: Char -> Int Source # peekElemOff :: Ptr Char -> Int -> IO Char Source # pokeElemOff :: Ptr Char -> Int -> Char -> IO () Source # peekByteOff :: Ptr b -> Int -> IO Char Source # pokeByteOff :: Ptr b -> Int -> Char -> IO () Source # | |
| Storable Double | Since: base-2.1 |
Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Double -> Int Source # alignment :: Double -> Int Source # peekElemOff :: Ptr Double -> Int -> IO Double Source # pokeElemOff :: Ptr Double -> Int -> Double -> IO () Source # peekByteOff :: Ptr b -> Int -> IO Double Source # pokeByteOff :: Ptr b -> Int -> Double -> IO () Source # | |
| Storable Float | Since: base-2.1 |
Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Float -> Int Source # alignment :: Float -> Int Source # peekElemOff :: Ptr Float -> Int -> IO Float Source # pokeElemOff :: Ptr Float -> Int -> Float -> IO () Source # peekByteOff :: Ptr b -> Int -> IO Float Source # pokeByteOff :: Ptr b -> Int -> Float -> IO () Source # | |
| Storable Int | Since: base-2.1 |
Defined in GHC.Internal.Foreign.Storable | |
| Storable Word | Since: base-2.1 |
Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Word -> Int Source # alignment :: Word -> Int Source # peekElemOff :: Ptr Word -> Int -> IO Word Source # pokeElemOff :: Ptr Word -> Int -> Word -> IO () Source # peekByteOff :: Ptr b -> Int -> IO Word Source # pokeByteOff :: Ptr b -> Int -> Word -> IO () Source # | |
| Storable a => Storable (Complex a) | Since: base-4.8.0.0 |
Defined in Data.Complex Methods sizeOf :: Complex a -> Int Source # alignment :: Complex a -> Int Source # peekElemOff :: Ptr (Complex a) -> Int -> IO (Complex a) Source # pokeElemOff :: Ptr (Complex a) -> Int -> Complex a -> IO () Source # peekByteOff :: Ptr b -> Int -> IO (Complex a) Source # pokeByteOff :: Ptr b -> Int -> Complex a -> IO () Source # | |
| Storable a => Storable (Down a) | Since: base-4.14.0.0 |
Defined in GHC.Internal.Data.Ord Methods sizeOf :: Down a -> Int Source # alignment :: Down a -> Int Source # peekElemOff :: Ptr (Down a) -> Int -> IO (Down a) Source # pokeElemOff :: Ptr (Down a) -> Int -> Down a -> IO () Source # peekByteOff :: Ptr b -> Int -> IO (Down a) Source # pokeByteOff :: Ptr b -> Int -> Down a -> IO () Source # | |
| Storable (ConstPtr a) | |
Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: ConstPtr a -> Int Source # alignment :: ConstPtr a -> Int Source # peekElemOff :: Ptr (ConstPtr a) -> Int -> IO (ConstPtr a) Source # pokeElemOff :: Ptr (ConstPtr a) -> Int -> ConstPtr a -> IO () Source # peekByteOff :: Ptr b -> Int -> IO (ConstPtr a) Source # pokeByteOff :: Ptr b -> Int -> ConstPtr a -> IO () Source # | |
| Storable (FunPtr a) | Since: base-2.1 |
Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: FunPtr a -> Int Source # alignment :: FunPtr a -> Int Source # peekElemOff :: Ptr (FunPtr a) -> Int -> IO (FunPtr a) Source # pokeElemOff :: Ptr (FunPtr a) -> Int -> FunPtr a -> IO () Source # peekByteOff :: Ptr b -> Int -> IO (FunPtr a) Source # pokeByteOff :: Ptr b -> Int -> FunPtr a -> IO () Source # | |
| Storable (Ptr a) | Since: base-2.1 |
Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Ptr a -> Int Source # alignment :: Ptr a -> Int Source # peekElemOff :: Ptr (Ptr a) -> Int -> IO (Ptr a) Source # pokeElemOff :: Ptr (Ptr a) -> Int -> Ptr a -> IO () Source # peekByteOff :: Ptr b -> Int -> IO (Ptr a) Source # pokeByteOff :: Ptr b -> Int -> Ptr a -> IO () Source # | |
| (Storable a, Integral a) => Storable (Ratio a) | Since: base-4.8.0.0 |
Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Ratio a -> Int Source # alignment :: Ratio a -> Int Source # peekElemOff :: Ptr (Ratio a) -> Int -> IO (Ratio a) Source # pokeElemOff :: Ptr (Ratio a) -> Int -> Ratio a -> IO () Source # peekByteOff :: Ptr b -> Int -> IO (Ratio a) Source # pokeByteOff :: Ptr b -> Int -> Ratio a -> IO () Source # | |
| Storable (StablePtr a) | Since: base-2.1 |
Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: StablePtr a -> Int Source # alignment :: StablePtr a -> Int Source # peekElemOff :: Ptr (StablePtr a) -> Int -> IO (StablePtr a) Source # pokeElemOff :: Ptr (StablePtr a) -> Int -> StablePtr a -> IO () Source # peekByteOff :: Ptr b -> Int -> IO (StablePtr a) Source # pokeByteOff :: Ptr b -> Int -> StablePtr a -> IO () Source # | |
class Eq a => Hashable a Source #
The class of types that can be converted to a hash value.
Minimal implementation: hashWithSalt.
Hashable is intended exclusively for use in in-memory data structures.
.
Hashable does not have a fixed standard.
This allows it to improve over time.
.
Because it does not have a fixed standard, different computers or computers on different versions of the code will observe different hash values.
As such, Hashable is not recommended for use other than in-memory datastructures.
Specifically, Hashable is not intended for network use or in applications which persist hashed values.
For stable hashing use named hashes: sha256, crc32, xxhash etc.
If you are looking for Hashable instance in time package,
check time-compat
Instances
| Hashable ByteArray | This instance was available since 1.4.1.0 only for GHC-9.4+ Since: hashable-1.4.2.0 |
| Hashable ByteString | |
Defined in Data.Hashable.Class | |
| Hashable ByteString | |
Defined in Data.Hashable.Class | |
| Hashable ShortByteString | |
Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> ShortByteString -> Int Source # hash :: ShortByteString -> Int Source # | |
| Hashable IntSet | Since: hashable-1.3.4.0 |
| Hashable BigNat | |
| Hashable Void | |
| Hashable ThreadId | |
| Hashable SomeTypeRep | |
Defined in Data.Hashable.Class | |
| Hashable Unique | |
| Hashable Version | |
| Hashable Fingerprint | Since: hashable-1.3.0.0 |
Defined in Data.Hashable.Class | |
| Hashable IntPtr | |
| Hashable WordPtr | |
| Hashable Int16 | |
| Hashable Int32 | |
| Hashable Int64 | |
| Hashable Int8 | |
| Hashable Word16 | |
| Hashable Word32 | |
| Hashable Word64 | |
| Hashable Word8 | |
| Hashable Ordering | |
| Hashable OsString | Since: hashable-1.4.2.0 |
| Hashable PosixString | Since: hashable-1.4.2.0 |
Defined in Data.Hashable.Class | |
| Hashable WindowsString | Since: hashable-1.4.2.0 |
Defined in Data.Hashable.Class | |
| Hashable Text | |
| Hashable Text | |
| Hashable Integer | |
| Hashable Natural | |
| Hashable () | |
Defined in Data.Hashable.Class | |
| Hashable Bool | |
| Hashable Char | |
| Hashable Double | Note: prior to The Since: hashable-1.3.0.0 |
| Hashable Float | Note: prior to The Since: hashable-1.3.0.0 |
| Hashable Int | |
| Hashable Word | |
| Hashable a => Hashable (Complex a) | |
| Hashable a => Hashable (First a) | |
| Hashable a => Hashable (Last a) | |
| Hashable a => Hashable (Max a) | |
| Hashable a => Hashable (Min a) | |
| Hashable a => Hashable (WrappedMonoid a) | |
Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> WrappedMonoid a -> Int Source # hash :: WrappedMonoid a -> Int Source # | |
| Hashable v => Hashable (IntMap v) | Since: hashable-1.3.4.0 |
| Hashable v => Hashable (Seq v) | Since: hashable-1.3.4.0 |
| Hashable v => Hashable (Set v) | Since: hashable-1.3.4.0 |
| Hashable v => Hashable (Tree v) | Since: hashable-1.3.4.0 |
| Hashable a => Hashable (NonEmpty a) | |
| Hashable a => Hashable (Identity a) | |
| Hashable (FunPtr a) | |
| Hashable (Ptr a) | |
| Hashable a => Hashable (Ratio a) | |
| Hashable (StableName a) | |
Defined in Data.Hashable.Class | |
| Eq a => Hashable (Hashed a) | |
| Hashable a => Hashable (HashSet a) | |
| Hashable a => Hashable (Maybe a) | |
| Hashable a => Hashable (Solo a) | |
| Hashable a => Hashable [a] | |
Defined in Data.Hashable.Class | |
| Hashable (Fixed a) | |
| Hashable a => Hashable (Arg a b) | Note: Prior to Since Since: hashable-1.3.0.0 |
| (Hashable k, Hashable v) => Hashable (Map k v) | Since: hashable-1.3.4.0 |
| (Hashable a, Hashable b) => Hashable (Either a b) | |
| Hashable (Proxy a) | |
| Hashable (TypeRep a) | |
| (Hashable k, Hashable v) => Hashable (HashMap k v) | |
| (Hashable a1, Hashable a2) => Hashable (a1, a2) | |
Defined in Data.Hashable.Class | |
| Hashable a => Hashable (Const a b) | |
| (Hashable a1, Hashable a2, Hashable a3) => Hashable (a1, a2, a3) | |
Defined in Data.Hashable.Class | |
| (Hashable (f a), Hashable (g a)) => Hashable (Product f g a) | |
| (Hashable (f a), Hashable (g a)) => Hashable (Sum f g a) | |
| (Hashable a1, Hashable a2, Hashable a3, Hashable a4) => Hashable (a1, a2, a3, a4) | |
Defined in Data.Hashable.Class | |
| Hashable (f (g a)) => Hashable (Compose f g a) | |
| (Hashable a1, Hashable a2, Hashable a3, Hashable a4, Hashable a5) => Hashable (a1, a2, a3, a4, a5) | |
Defined in Data.Hashable.Class | |
| (Hashable a1, Hashable a2, Hashable a3, Hashable a4, Hashable a5, Hashable a6) => Hashable (a1, a2, a3, a4, a5, a6) | |
Defined in Data.Hashable.Class | |
| (Hashable a1, Hashable a2, Hashable a3, Hashable a4, Hashable a5, Hashable a6, Hashable a7) => Hashable (a1, a2, a3, a4, a5, a6, a7) | |
Defined in Data.Hashable.Class | |
Numbers
Instances
| PrintfArg Word | Since: base-2.1 | ||||
Defined in Text.Printf | |||||
| Bounded Word | Since: base-2.1 | ||||
| Enum Word | Since: base-2.1 | ||||
| Storable Word | Since: base-2.1 | ||||
Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Word -> Int Source # alignment :: Word -> Int Source # peekElemOff :: Ptr Word -> Int -> IO Word Source # pokeElemOff :: Ptr Word -> Int -> Word -> IO () Source # peekByteOff :: Ptr b -> Int -> IO Word Source # pokeByteOff :: Ptr b -> Int -> Word -> IO () Source # | |||||
| Num Word | Since: base-2.1 | ||||
| Read Word | Since: base-4.5.0.0 | ||||
| Integral Word | Since: base-2.1 | ||||
Defined in GHC.Internal.Real | |||||
| Real Word | Since: base-2.1 | ||||
Defined in GHC.Internal.Real Methods toRational :: Word -> Rational Source # | |||||
| Show Word | Since: base-2.1 | ||||
| Eq Word | |||||
| Ord Word | |||||
| Hashable Word | |||||
| Unbox Word | |||||
Defined in Data.Vector.Unboxed.Base | |||||
| Vector Vector Word | |||||
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: Mutable Vector s Word -> ST s (Vector Word) basicUnsafeThaw :: Vector Word -> ST s (Mutable Vector s Word) basicLength :: Vector Word -> Int basicUnsafeSlice :: Int -> Int -> Vector Word -> Vector Word basicUnsafeIndexM :: Vector Word -> Int -> Box Word basicUnsafeCopy :: Mutable Vector s Word -> Vector Word -> ST s () | |||||
| MVector MVector Word | |||||
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Word -> Int basicUnsafeSlice :: Int -> Int -> MVector s Word -> MVector s Word basicOverlaps :: MVector s Word -> MVector s Word -> Bool basicUnsafeNew :: Int -> ST s (MVector s Word) basicInitialize :: MVector s Word -> ST s () basicUnsafeReplicate :: Int -> Word -> ST s (MVector s Word) basicUnsafeRead :: MVector s Word -> Int -> ST s Word basicUnsafeWrite :: MVector s Word -> Int -> Word -> ST s () basicClear :: MVector s Word -> ST s () basicSet :: MVector s Word -> Word -> ST s () basicUnsafeCopy :: MVector s Word -> MVector s Word -> ST s () basicUnsafeMove :: MVector s Word -> MVector s Word -> ST s () basicUnsafeGrow :: MVector s Word -> Int -> ST s (MVector s Word) | |||||
| Generic1 (URec Word :: k -> Type) | |||||
Defined in GHC.Internal.Generics Associated Types
| |||||
| Foldable (UWord :: Type -> Type) | Since: base-4.9.0.0 | ||||
Defined in GHC.Internal.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 # | |||||
| Traversable (UWord :: Type -> Type) | Since: base-4.9.0.0 | ||||
Defined in GHC.Internal.Data.Traversable | |||||
| Functor (URec Word :: Type -> Type) | Since: base-4.9.0.0 | ||||
| Generic (URec Word p) | |||||
Defined in GHC.Internal.Generics Associated Types
| |||||
| Show (URec Word p) | Since: base-4.9.0.0 | ||||
| Eq (URec Word p) | Since: base-4.9.0.0 | ||||
| Ord (URec Word p) | Since: base-4.9.0.0 | ||||
Defined in GHC.Internal.Generics Methods compare :: URec Word p -> URec Word p -> Ordering Source # (<) :: URec Word p -> URec Word p -> Bool Source # (<=) :: URec Word p -> URec Word p -> Bool Source # (>) :: URec Word p -> URec Word p -> Bool Source # (>=) :: URec Word p -> URec Word p -> Bool Source # | |||||
| newtype Vector Word | |||||
Defined in Data.Vector.Unboxed.Base | |||||
| data URec Word (p :: k) | Used for marking occurrences of Since: base-4.9.0.0 | ||||
| newtype MVector s Word | |||||
Defined in Data.Vector.Unboxed.Base | |||||
| type Rep1 (URec Word :: k -> Type) | Since: base-4.9.0.0 | ||||
Defined in GHC.Internal.Generics | |||||
| type Rep (URec Word p) | Since: base-4.9.0.0 | ||||
Defined in GHC.Internal.Generics | |||||
8-bit unsigned integer type
Instances
| PrintfArg Word8 | Since: base-2.1 |
Defined in Text.Printf | |
| Bits Word8 | Since: base-2.1 |
Defined in GHC.Internal.Word Methods (.&.) :: Word8 -> Word8 -> Word8 Source # (.|.) :: Word8 -> Word8 -> Word8 Source # xor :: Word8 -> Word8 -> Word8 Source # complement :: Word8 -> Word8 Source # shift :: Word8 -> Int -> Word8 Source # rotate :: Word8 -> Int -> Word8 Source # setBit :: Word8 -> Int -> Word8 Source # clearBit :: Word8 -> Int -> Word8 Source # complementBit :: Word8 -> Int -> Word8 Source # testBit :: Word8 -> Int -> Bool Source # bitSizeMaybe :: Word8 -> Maybe Int Source # bitSize :: Word8 -> Int Source # isSigned :: Word8 -> Bool Source # shiftL :: Word8 -> Int -> Word8 Source # unsafeShiftL :: Word8 -> Int -> Word8 Source # shiftR :: Word8 -> Int -> Word8 Source # unsafeShiftR :: Word8 -> Int -> Word8 Source # rotateL :: Word8 -> Int -> Word8 Source # | |
| FiniteBits Word8 | Since: base-4.6.0.0 |
Defined in GHC.Internal.Word Methods finiteBitSize :: Word8 -> Int Source # countLeadingZeros :: Word8 -> Int Source # countTrailingZeros :: Word8 -> Int Source # | |
| Bounded Word8 | Since: base-2.1 |
| Enum Word8 | Since: base-2.1 |
Defined in GHC.Internal.Word Methods succ :: Word8 -> Word8 Source # pred :: Word8 -> Word8 Source # toEnum :: Int -> Word8 Source # fromEnum :: Word8 -> Int Source # enumFrom :: Word8 -> [Word8] Source # enumFromThen :: Word8 -> Word8 -> [Word8] Source # enumFromTo :: Word8 -> Word8 -> [Word8] Source # enumFromThenTo :: Word8 -> Word8 -> Word8 -> [Word8] Source # | |
| Storable Word8 | Since: base-2.1 |
Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Word8 -> Int Source # alignment :: Word8 -> Int Source # peekElemOff :: Ptr Word8 -> Int -> IO Word8 Source # pokeElemOff :: Ptr Word8 -> Int -> Word8 -> IO () Source # peekByteOff :: Ptr b -> Int -> IO Word8 Source # pokeByteOff :: Ptr b -> Int -> Word8 -> IO () Source # | |
| Ix Word8 | Since: base-2.1 |
Defined in GHC.Internal.Word | |
| Num Word8 | Since: base-2.1 |
| Read Word8 | Since: base-2.1 |
| Integral Word8 | Since: base-2.1 |
| Real Word8 | Since: base-2.1 |
Defined in GHC.Internal.Word Methods toRational :: Word8 -> Rational Source # | |
| Show Word8 | Since: base-2.1 |
| Eq Word8 | Since: base-2.1 |
| Ord Word8 | Since: base-2.1 |
Defined in GHC.Internal.Word | |
| Hashable Word8 | |
| Unbox Word8 | |
Defined in Data.Vector.Unboxed.Base | |
| Vector Vector Word8 | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: Mutable Vector s Word8 -> ST s (Vector Word8) basicUnsafeThaw :: Vector Word8 -> ST s (Mutable Vector s Word8) basicLength :: Vector Word8 -> Int basicUnsafeSlice :: Int -> Int -> Vector Word8 -> Vector Word8 basicUnsafeIndexM :: Vector Word8 -> Int -> Box Word8 basicUnsafeCopy :: Mutable Vector s Word8 -> Vector Word8 -> ST s () | |
| MVector MVector Word8 | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Word8 -> Int basicUnsafeSlice :: Int -> Int -> MVector s Word8 -> MVector s Word8 basicOverlaps :: MVector s Word8 -> MVector s Word8 -> Bool basicUnsafeNew :: Int -> ST s (MVector s Word8) basicInitialize :: MVector s Word8 -> ST s () basicUnsafeReplicate :: Int -> Word8 -> ST s (MVector s Word8) basicUnsafeRead :: MVector s Word8 -> Int -> ST s Word8 basicUnsafeWrite :: MVector s Word8 -> Int -> Word8 -> ST s () basicClear :: MVector s Word8 -> ST s () basicSet :: MVector s Word8 -> Word8 -> ST s () basicUnsafeCopy :: MVector s Word8 -> MVector s Word8 -> ST s () basicUnsafeMove :: MVector s Word8 -> MVector s Word8 -> ST s () basicUnsafeGrow :: MVector s Word8 -> Int -> ST s (MVector s Word8) | |
| newtype Vector Word8 | |
Defined in Data.Vector.Unboxed.Base | |
| newtype MVector s Word8 | |
Defined in Data.Vector.Unboxed.Base | |
32-bit unsigned integer type
Instances
| PrintfArg Word32 | Since: base-2.1 |
Defined in Text.Printf Methods formatArg :: Word32 -> FieldFormatter Source # parseFormat :: Word32 -> ModifierParser Source # | |
| Bits Word32 | Since: base-2.1 |
Defined in GHC.Internal.Word Methods (.&.) :: Word32 -> Word32 -> Word32 Source # (.|.) :: Word32 -> Word32 -> Word32 Source # xor :: Word32 -> Word32 -> Word32 Source # complement :: Word32 -> Word32 Source # shift :: Word32 -> Int -> Word32 Source # rotate :: Word32 -> Int -> Word32 Source # setBit :: Word32 -> Int -> Word32 Source # clearBit :: Word32 -> Int -> Word32 Source # complementBit :: Word32 -> Int -> Word32 Source # testBit :: Word32 -> Int -> Bool Source # bitSizeMaybe :: Word32 -> Maybe Int Source # bitSize :: Word32 -> Int Source # isSigned :: Word32 -> Bool Source # shiftL :: Word32 -> Int -> Word32 Source # unsafeShiftL :: Word32 -> Int -> Word32 Source # shiftR :: Word32 -> Int -> Word32 Source # unsafeShiftR :: Word32 -> Int -> Word32 Source # rotateL :: Word32 -> Int -> Word32 Source # | |
| FiniteBits Word32 | Since: base-4.6.0.0 |
Defined in GHC.Internal.Word Methods finiteBitSize :: Word32 -> Int Source # countLeadingZeros :: Word32 -> Int Source # countTrailingZeros :: Word32 -> Int Source # | |
| Bounded Word32 | Since: base-2.1 |
| Enum Word32 | Since: base-2.1 |
Defined in GHC.Internal.Word Methods succ :: Word32 -> Word32 Source # pred :: Word32 -> Word32 Source # toEnum :: Int -> Word32 Source # fromEnum :: Word32 -> Int Source # enumFrom :: Word32 -> [Word32] Source # enumFromThen :: Word32 -> Word32 -> [Word32] Source # enumFromTo :: Word32 -> Word32 -> [Word32] Source # enumFromThenTo :: Word32 -> Word32 -> Word32 -> [Word32] Source # | |
| Storable Word32 | Since: base-2.1 |
Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Word32 -> Int Source # alignment :: Word32 -> Int Source # peekElemOff :: Ptr Word32 -> Int -> IO Word32 Source # pokeElemOff :: Ptr Word32 -> Int -> Word32 -> IO () Source # peekByteOff :: Ptr b -> Int -> IO Word32 Source # pokeByteOff :: Ptr b -> Int -> Word32 -> IO () Source # | |
| Ix Word32 | Since: base-2.1 |
| Num Word32 | Since: base-2.1 |
Defined in GHC.Internal.Word | |
| Read Word32 | Since: base-2.1 |
| Integral Word32 | Since: base-2.1 |
Defined in GHC.Internal.Word | |
| Real Word32 | Since: base-2.1 |
Defined in GHC.Internal.Word Methods toRational :: Word32 -> Rational Source # | |
| Show Word32 | Since: base-2.1 |
| Eq Word32 | Since: base-2.1 |
| Ord Word32 | Since: base-2.1 |
| Hashable Word32 | |
| Unbox Word32 | |
Defined in Data.Vector.Unboxed.Base | |
| Vector Vector Word32 | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: Mutable Vector s Word32 -> ST s (Vector Word32) basicUnsafeThaw :: Vector Word32 -> ST s (Mutable Vector s Word32) basicLength :: Vector Word32 -> Int basicUnsafeSlice :: Int -> Int -> Vector Word32 -> Vector Word32 basicUnsafeIndexM :: Vector Word32 -> Int -> Box Word32 basicUnsafeCopy :: Mutable Vector s Word32 -> Vector Word32 -> ST s () | |
| MVector MVector Word32 | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Word32 -> Int basicUnsafeSlice :: Int -> Int -> MVector s Word32 -> MVector s Word32 basicOverlaps :: MVector s Word32 -> MVector s Word32 -> Bool basicUnsafeNew :: Int -> ST s (MVector s Word32) basicInitialize :: MVector s Word32 -> ST s () basicUnsafeReplicate :: Int -> Word32 -> ST s (MVector s Word32) basicUnsafeRead :: MVector s Word32 -> Int -> ST s Word32 basicUnsafeWrite :: MVector s Word32 -> Int -> Word32 -> ST s () basicClear :: MVector s Word32 -> ST s () basicSet :: MVector s Word32 -> Word32 -> ST s () basicUnsafeCopy :: MVector s Word32 -> MVector s Word32 -> ST s () basicUnsafeMove :: MVector s Word32 -> MVector s Word32 -> ST s () basicUnsafeGrow :: MVector s Word32 -> Int -> ST s (MVector s Word32) | |
| newtype Vector Word32 | |
Defined in Data.Vector.Unboxed.Base | |
| newtype MVector s Word32 | |
Defined in Data.Vector.Unboxed.Base | |
64-bit unsigned integer type
Instances
| PrintfArg Word64 | Since: base-2.1 |
Defined in Text.Printf Methods formatArg :: Word64 -> FieldFormatter Source # parseFormat :: Word64 -> ModifierParser Source # | |
| Bits Word64 | Since: base-2.1 |
Defined in GHC.Internal.Word Methods (.&.) :: Word64 -> Word64 -> Word64 Source # (.|.) :: Word64 -> Word64 -> Word64 Source # xor :: Word64 -> Word64 -> Word64 Source # complement :: Word64 -> Word64 Source # shift :: Word64 -> Int -> Word64 Source # rotate :: Word64 -> Int -> Word64 Source # setBit :: Word64 -> Int -> Word64 Source # clearBit :: Word64 -> Int -> Word64 Source # complementBit :: Word64 -> Int -> Word64 Source # testBit :: Word64 -> Int -> Bool Source # bitSizeMaybe :: Word64 -> Maybe Int Source # bitSize :: Word64 -> Int Source # isSigned :: Word64 -> Bool Source # shiftL :: Word64 -> Int -> Word64 Source # unsafeShiftL :: Word64 -> Int -> Word64 Source # shiftR :: Word64 -> Int -> Word64 Source # unsafeShiftR :: Word64 -> Int -> Word64 Source # rotateL :: Word64 -> Int -> Word64 Source # | |
| FiniteBits Word64 | Since: base-4.6.0.0 |
Defined in GHC.Internal.Word Methods finiteBitSize :: Word64 -> Int Source # countLeadingZeros :: Word64 -> Int Source # countTrailingZeros :: Word64 -> Int Source # | |
| Bounded Word64 | Since: base-2.1 |
| Enum Word64 | Since: base-2.1 |
Defined in GHC.Internal.Word Methods succ :: Word64 -> Word64 Source # pred :: Word64 -> Word64 Source # toEnum :: Int -> Word64 Source # fromEnum :: Word64 -> Int Source # enumFrom :: Word64 -> [Word64] Source # enumFromThen :: Word64 -> Word64 -> [Word64] Source # enumFromTo :: Word64 -> Word64 -> [Word64] Source # enumFromThenTo :: Word64 -> Word64 -> Word64 -> [Word64] Source # | |
| Storable Word64 | Since: base-2.1 |
Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Word64 -> Int Source # alignment :: Word64 -> Int Source # peekElemOff :: Ptr Word64 -> Int -> IO Word64 Source # pokeElemOff :: Ptr Word64 -> Int -> Word64 -> IO () Source # peekByteOff :: Ptr b -> Int -> IO Word64 Source # pokeByteOff :: Ptr b -> Int -> Word64 -> IO () Source # | |
| Ix Word64 | Since: base-2.1 |
| Num Word64 | Since: base-2.1 |
Defined in GHC.Internal.Word | |
| Read Word64 | Since: base-2.1 |
| Integral Word64 | Since: base-2.1 |
Defined in GHC.Internal.Word | |
| Real Word64 | Since: base-2.1 |
Defined in GHC.Internal.Word Methods toRational :: Word64 -> Rational Source # | |
| Show Word64 | Since: base-2.1 |
| Eq Word64 | Since: base-2.1 |
| Ord Word64 | Since: base-2.1 |
| Hashable Word64 | |
| Unbox Word64 | |
Defined in Data.Vector.Unboxed.Base | |
| Vector Vector Word64 | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: Mutable Vector s Word64 -> ST s (Vector Word64) basicUnsafeThaw :: Vector Word64 -> ST s (Mutable Vector s Word64) basicLength :: Vector Word64 -> Int basicUnsafeSlice :: Int -> Int -> Vector Word64 -> Vector Word64 basicUnsafeIndexM :: Vector Word64 -> Int -> Box Word64 basicUnsafeCopy :: Mutable Vector s Word64 -> Vector Word64 -> ST s () | |
| MVector MVector Word64 | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Word64 -> Int basicUnsafeSlice :: Int -> Int -> MVector s Word64 -> MVector s Word64 basicOverlaps :: MVector s Word64 -> MVector s Word64 -> Bool basicUnsafeNew :: Int -> ST s (MVector s Word64) basicInitialize :: MVector s Word64 -> ST s () basicUnsafeReplicate :: Int -> Word64 -> ST s (MVector s Word64) basicUnsafeRead :: MVector s Word64 -> Int -> ST s Word64 basicUnsafeWrite :: MVector s Word64 -> Int -> Word64 -> ST s () basicClear :: MVector s Word64 -> ST s () basicSet :: MVector s Word64 -> Word64 -> ST s () basicUnsafeCopy :: MVector s Word64 -> MVector s Word64 -> ST s () basicUnsafeMove :: MVector s Word64 -> MVector s Word64 -> ST s () basicUnsafeGrow :: MVector s Word64 -> Int -> ST s (MVector s Word64) | |
| newtype Vector Word64 | |
Defined in Data.Vector.Unboxed.Base | |
| newtype MVector s Word64 | |
Defined in Data.Vector.Unboxed.Base | |
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
| PrintfArg Int | Since: base-2.1 | ||||
Defined in Text.Printf | |||||
| Bounded Int | Since: base-2.1 | ||||
| Enum Int | Since: base-2.1 | ||||
Defined in GHC.Internal.Enum | |||||
| Storable Int | Since: base-2.1 | ||||
Defined in GHC.Internal.Foreign.Storable | |||||
| Num Int | Since: base-2.1 | ||||
| Read Int | Since: base-2.1 | ||||
| Integral Int | Since: base-2.0.1 | ||||
| Real Int | Since: base-2.0.1 | ||||
Defined in GHC.Internal.Real Methods toRational :: Int -> Rational Source # | |||||
| Show Int | Since: base-2.1 | ||||
| Eq Int | |||||
| Ord Int | |||||
| Hashable Int | |||||
| Unbox Int | |||||
Defined in Data.Vector.Unboxed.Base | |||||
| Vector Vector Int | |||||
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: Mutable Vector s Int -> ST s (Vector Int) basicUnsafeThaw :: Vector Int -> ST s (Mutable Vector s Int) basicLength :: Vector Int -> Int basicUnsafeSlice :: Int -> Int -> Vector Int -> Vector Int basicUnsafeIndexM :: Vector Int -> Int -> Box Int basicUnsafeCopy :: Mutable Vector s Int -> Vector Int -> ST s () | |||||
| MVector MVector Int | |||||
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Int -> Int basicUnsafeSlice :: Int -> Int -> MVector s Int -> MVector s Int basicOverlaps :: MVector s Int -> MVector s Int -> Bool basicUnsafeNew :: Int -> ST s (MVector s Int) basicInitialize :: MVector s Int -> ST s () basicUnsafeReplicate :: Int -> Int -> ST s (MVector s Int) basicUnsafeRead :: MVector s Int -> Int -> ST s Int basicUnsafeWrite :: MVector s Int -> Int -> Int -> ST s () basicClear :: MVector s Int -> ST s () basicSet :: MVector s Int -> Int -> ST s () basicUnsafeCopy :: MVector s Int -> MVector s Int -> ST s () basicUnsafeMove :: MVector s Int -> MVector s Int -> ST s () basicUnsafeGrow :: MVector s Int -> Int -> ST s (MVector s Int) | |||||
| Generic1 (URec Int :: k -> Type) | |||||
Defined in GHC.Internal.Generics Associated Types
| |||||
| Foldable (UInt :: Type -> Type) | Since: base-4.9.0.0 | ||||
Defined in GHC.Internal.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 # | |||||
| Traversable (UInt :: Type -> Type) | Since: base-4.9.0.0 | ||||
Defined in GHC.Internal.Data.Traversable | |||||
| Functor (URec Int :: Type -> Type) | Since: base-4.9.0.0 | ||||
| Generic (URec Int p) | |||||
Defined in GHC.Internal.Generics Associated Types
| |||||
| Show (URec Int p) | Since: base-4.9.0.0 | ||||
| Eq (URec Int p) | Since: base-4.9.0.0 | ||||
| Ord (URec Int p) | Since: base-4.9.0.0 | ||||
Defined in GHC.Internal.Generics Methods compare :: URec Int p -> URec Int p -> Ordering Source # (<) :: URec Int p -> URec Int p -> Bool Source # (<=) :: URec Int p -> URec Int p -> Bool Source # (>) :: URec Int p -> URec Int p -> Bool Source # (>=) :: URec Int p -> URec Int p -> Bool Source # | |||||
| newtype Vector Int | |||||
Defined in Data.Vector.Unboxed.Base | |||||
| data URec Int (p :: k) | Used for marking occurrences of Since: base-4.9.0.0 | ||||
| newtype MVector s Int | |||||
Defined in Data.Vector.Unboxed.Base | |||||
| type Rep1 (URec Int :: k -> Type) | Since: base-4.9.0.0 | ||||
Defined in GHC.Internal.Generics | |||||
| type Rep (URec Int p) | Since: base-4.9.0.0 | ||||
Defined in GHC.Internal.Generics | |||||
32-bit signed integer type
Instances
| PrintfArg Int32 | Since: base-2.1 |
Defined in Text.Printf | |
| Bits Int32 | Since: base-2.1 |
Defined in GHC.Internal.Int Methods (.&.) :: Int32 -> Int32 -> Int32 Source # (.|.) :: Int32 -> Int32 -> Int32 Source # xor :: Int32 -> Int32 -> Int32 Source # complement :: Int32 -> Int32 Source # shift :: Int32 -> Int -> Int32 Source # rotate :: Int32 -> Int -> Int32 Source # setBit :: Int32 -> Int -> Int32 Source # clearBit :: Int32 -> Int -> Int32 Source # complementBit :: Int32 -> Int -> Int32 Source # testBit :: Int32 -> Int -> Bool Source # bitSizeMaybe :: Int32 -> Maybe Int Source # bitSize :: Int32 -> Int Source # isSigned :: Int32 -> Bool Source # shiftL :: Int32 -> Int -> Int32 Source # unsafeShiftL :: Int32 -> Int -> Int32 Source # shiftR :: Int32 -> Int -> Int32 Source # unsafeShiftR :: Int32 -> Int -> Int32 Source # rotateL :: Int32 -> Int -> Int32 Source # | |
| FiniteBits Int32 | Since: base-4.6.0.0 |
Defined in GHC.Internal.Int Methods finiteBitSize :: Int32 -> Int Source # countLeadingZeros :: Int32 -> Int Source # countTrailingZeros :: Int32 -> Int Source # | |
| Bounded Int32 | Since: base-2.1 |
| Enum Int32 | Since: base-2.1 |
Defined in GHC.Internal.Int Methods succ :: Int32 -> Int32 Source # pred :: Int32 -> Int32 Source # toEnum :: Int -> Int32 Source # fromEnum :: Int32 -> Int Source # enumFrom :: Int32 -> [Int32] Source # enumFromThen :: Int32 -> Int32 -> [Int32] Source # enumFromTo :: Int32 -> Int32 -> [Int32] Source # enumFromThenTo :: Int32 -> Int32 -> Int32 -> [Int32] Source # | |
| Storable Int32 | Since: base-2.1 |
Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Int32 -> Int Source # alignment :: Int32 -> Int Source # peekElemOff :: Ptr Int32 -> Int -> IO Int32 Source # pokeElemOff :: Ptr Int32 -> Int -> Int32 -> IO () Source # peekByteOff :: Ptr b -> Int -> IO Int32 Source # pokeByteOff :: Ptr b -> Int -> Int32 -> IO () Source # | |
| Ix Int32 | Since: base-2.1 |
Defined in GHC.Internal.Int | |
| Num Int32 | Since: base-2.1 |
| Read Int32 | Since: base-2.1 |
| Integral Int32 | Since: base-2.1 |
| Real Int32 | Since: base-2.1 |
Defined in GHC.Internal.Int Methods toRational :: Int32 -> Rational Source # | |
| Show Int32 | Since: base-2.1 |
| Eq Int32 | Since: base-2.1 |
| Ord Int32 | Since: base-2.1 |
Defined in GHC.Internal.Int | |
| Hashable Int32 | |
| Unbox Int32 | |
Defined in Data.Vector.Unboxed.Base | |
| Vector Vector Int32 | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: Mutable Vector s Int32 -> ST s (Vector Int32) basicUnsafeThaw :: Vector Int32 -> ST s (Mutable Vector s Int32) basicLength :: Vector Int32 -> Int basicUnsafeSlice :: Int -> Int -> Vector Int32 -> Vector Int32 basicUnsafeIndexM :: Vector Int32 -> Int -> Box Int32 basicUnsafeCopy :: Mutable Vector s Int32 -> Vector Int32 -> ST s () | |
| MVector MVector Int32 | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Int32 -> Int basicUnsafeSlice :: Int -> Int -> MVector s Int32 -> MVector s Int32 basicOverlaps :: MVector s Int32 -> MVector s Int32 -> Bool basicUnsafeNew :: Int -> ST s (MVector s Int32) basicInitialize :: MVector s Int32 -> ST s () basicUnsafeReplicate :: Int -> Int32 -> ST s (MVector s Int32) basicUnsafeRead :: MVector s Int32 -> Int -> ST s Int32 basicUnsafeWrite :: MVector s Int32 -> Int -> Int32 -> ST s () basicClear :: MVector s Int32 -> ST s () basicSet :: MVector s Int32 -> Int32 -> ST s () basicUnsafeCopy :: MVector s Int32 -> MVector s Int32 -> ST s () basicUnsafeMove :: MVector s Int32 -> MVector s Int32 -> ST s () basicUnsafeGrow :: MVector s Int32 -> Int -> ST s (MVector s Int32) | |
| newtype Vector Int32 | |
Defined in Data.Vector.Unboxed.Base | |
| newtype MVector s Int32 | |
Defined in Data.Vector.Unboxed.Base | |
64-bit signed integer type
Instances
| PrintfArg Int64 | Since: base-2.1 |
Defined in Text.Printf | |
| Bits Int64 | Since: base-2.1 |
Defined in GHC.Internal.Int Methods (.&.) :: Int64 -> Int64 -> Int64 Source # (.|.) :: Int64 -> Int64 -> Int64 Source # xor :: Int64 -> Int64 -> Int64 Source # complement :: Int64 -> Int64 Source # shift :: Int64 -> Int -> Int64 Source # rotate :: Int64 -> Int -> Int64 Source # setBit :: Int64 -> Int -> Int64 Source # clearBit :: Int64 -> Int -> Int64 Source # complementBit :: Int64 -> Int -> Int64 Source # testBit :: Int64 -> Int -> Bool Source # bitSizeMaybe :: Int64 -> Maybe Int Source # bitSize :: Int64 -> Int Source # isSigned :: Int64 -> Bool Source # shiftL :: Int64 -> Int -> Int64 Source # unsafeShiftL :: Int64 -> Int -> Int64 Source # shiftR :: Int64 -> Int -> Int64 Source # unsafeShiftR :: Int64 -> Int -> Int64 Source # rotateL :: Int64 -> Int -> Int64 Source # | |
| FiniteBits Int64 | Since: base-4.6.0.0 |
Defined in GHC.Internal.Int Methods finiteBitSize :: Int64 -> Int Source # countLeadingZeros :: Int64 -> Int Source # countTrailingZeros :: Int64 -> Int Source # | |
| Bounded Int64 | Since: base-2.1 |
| Enum Int64 | Since: base-2.1 |
Defined in GHC.Internal.Int Methods succ :: Int64 -> Int64 Source # pred :: Int64 -> Int64 Source # toEnum :: Int -> Int64 Source # fromEnum :: Int64 -> Int Source # enumFrom :: Int64 -> [Int64] Source # enumFromThen :: Int64 -> Int64 -> [Int64] Source # enumFromTo :: Int64 -> Int64 -> [Int64] Source # enumFromThenTo :: Int64 -> Int64 -> Int64 -> [Int64] Source # | |
| Storable Int64 | Since: base-2.1 |
Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Int64 -> Int Source # alignment :: Int64 -> Int Source # peekElemOff :: Ptr Int64 -> Int -> IO Int64 Source # pokeElemOff :: Ptr Int64 -> Int -> Int64 -> IO () Source # peekByteOff :: Ptr b -> Int -> IO Int64 Source # pokeByteOff :: Ptr b -> Int -> Int64 -> IO () Source # | |
| Ix Int64 | Since: base-2.1 |
Defined in GHC.Internal.Int | |
| Num Int64 | Since: base-2.1 |
| Read Int64 | Since: base-2.1 |
| Integral Int64 | Since: base-2.1 |
| Real Int64 | Since: base-2.1 |
Defined in GHC.Internal.Int Methods toRational :: Int64 -> Rational Source # | |
| Show Int64 | Since: base-2.1 |
| Eq Int64 | Since: base-2.1 |
| Ord Int64 | Since: base-2.1 |
Defined in GHC.Internal.Int | |
| Hashable Int64 | |
| Unbox Int64 | |
Defined in Data.Vector.Unboxed.Base | |
| Vector Vector Int64 | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: Mutable Vector s Int64 -> ST s (Vector Int64) basicUnsafeThaw :: Vector Int64 -> ST s (Mutable Vector s Int64) basicLength :: Vector Int64 -> Int basicUnsafeSlice :: Int -> Int -> Vector Int64 -> Vector Int64 basicUnsafeIndexM :: Vector Int64 -> Int -> Box Int64 basicUnsafeCopy :: Mutable Vector s Int64 -> Vector Int64 -> ST s () | |
| MVector MVector Int64 | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Int64 -> Int basicUnsafeSlice :: Int -> Int -> MVector s Int64 -> MVector s Int64 basicOverlaps :: MVector s Int64 -> MVector s Int64 -> Bool basicUnsafeNew :: Int -> ST s (MVector s Int64) basicInitialize :: MVector s Int64 -> ST s () basicUnsafeReplicate :: Int -> Int64 -> ST s (MVector s Int64) basicUnsafeRead :: MVector s Int64 -> Int -> ST s Int64 basicUnsafeWrite :: MVector s Int64 -> Int -> Int64 -> ST s () basicClear :: MVector s Int64 -> ST s () basicSet :: MVector s Int64 -> Int64 -> ST s () basicUnsafeCopy :: MVector s Int64 -> MVector s Int64 -> ST s () basicUnsafeMove :: MVector s Int64 -> MVector s Int64 -> ST s () basicUnsafeGrow :: MVector s Int64 -> Int -> ST s (MVector s Int64) | |
| newtype Vector Int64 | |
Defined in Data.Vector.Unboxed.Base | |
| newtype MVector s Int64 | |
Defined in Data.Vector.Unboxed.Base | |
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 (i.e., fits into an Int), the IS constructor is
used. Otherwise IP and IN constructors are used to store a BigNat
representing the positive or the negative value magnitude, respectively.
Invariant: IP and IN are used iff the value does not fit in IS.
Instances
| PrintfArg Integer | Since: base-2.1 |
Defined in Text.Printf Methods formatArg :: Integer -> FieldFormatter Source # parseFormat :: Integer -> ModifierParser Source # | |
| Enum Integer | Since: base-2.1 |
Defined in GHC.Internal.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.Internal.Num | |
| Read Integer | Since: base-2.1 |
| Integral Integer | Since: base-2.0.1 |
Defined in GHC.Internal.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 |
Defined in GHC.Internal.Real Methods toRational :: Integer -> Rational Source # | |
| Show Integer | Since: base-2.1 |
| Eq Integer | |
| Ord Integer | |
| Hashable Integer | |
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
| PrintfArg Float | Since: base-2.1 | ||||
Defined in Text.Printf | |||||
| Enum Float |
List generators have extremely peculiar behavior, mandated by Haskell Report 2010:
Since: base-2.1 | ||||
Defined in GHC.Internal.Float Methods succ :: Float -> Float Source # pred :: Float -> Float Source # toEnum :: Int -> Float Source # fromEnum :: Float -> Int Source # enumFrom :: Float -> [Float] Source # enumFromThen :: Float -> Float -> [Float] Source # enumFromTo :: Float -> Float -> [Float] Source # enumFromThenTo :: Float -> Float -> Float -> [Float] Source # | |||||
| Floating Float | Since: base-2.1 | ||||
Defined in GHC.Internal.Float Methods exp :: Float -> Float Source # log :: Float -> Float Source # sqrt :: Float -> Float Source # (**) :: Float -> Float -> Float Source # logBase :: Float -> Float -> Float Source # sin :: Float -> Float Source # cos :: Float -> Float Source # tan :: Float -> Float Source # asin :: Float -> Float Source # acos :: Float -> Float Source # atan :: Float -> Float Source # sinh :: Float -> Float Source # cosh :: Float -> Float Source # tanh :: Float -> Float Source # asinh :: Float -> Float Source # acosh :: Float -> Float Source # atanh :: Float -> Float Source # log1p :: Float -> Float Source # expm1 :: Float -> Float Source # | |||||
| RealFloat Float | Since: base-2.1 | ||||
Defined in GHC.Internal.Float Methods floatRadix :: Float -> Integer Source # floatDigits :: Float -> Int Source # floatRange :: Float -> (Int, Int) Source # decodeFloat :: Float -> (Integer, Int) Source # encodeFloat :: Integer -> Int -> Float Source # exponent :: Float -> Int Source # significand :: Float -> Float Source # scaleFloat :: Int -> Float -> Float Source # isNaN :: Float -> Bool Source # isInfinite :: Float -> Bool Source # isDenormalized :: Float -> Bool Source # isNegativeZero :: Float -> Bool Source # | |||||
| Storable Float | Since: base-2.1 | ||||
Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Float -> Int Source # alignment :: Float -> Int Source # peekElemOff :: Ptr Float -> Int -> IO Float Source # pokeElemOff :: Ptr Float -> Int -> Float -> IO () Source # peekByteOff :: Ptr b -> Int -> IO Float Source # pokeByteOff :: Ptr b -> Int -> Float -> IO () Source # | |||||
| Num Float | This instance implements IEEE 754 standard with all its usual pitfalls about NaN, infinities and negative zero. Neither addition nor multiplication are associative or distributive:
Since: base-2.1 | ||||
| Read Float | Since: base-2.1 | ||||
| Fractional Float | This instance implements IEEE 754 standard with all its usual pitfalls about NaN, infinities and negative zero.
Since: base-2.1 | ||||
| Real Float | Beware that
Since: base-2.1 | ||||
Defined in GHC.Internal.Float Methods toRational :: Float -> Rational Source # | |||||
| RealFrac Float | Beware that results for non-finite arguments are garbage:
and get even more non-sensical if you ask for Since: base-2.1 | ||||
| Show Float | Since: base-2.1 | ||||
| Eq Float | Note that due to the presence of
Also note that
| ||||
| Ord Float | See | ||||
Defined in GHC.Classes | |||||
| Hashable Float | Note: prior to The Since: hashable-1.3.0.0 | ||||
| Unbox Float | |||||
Defined in Data.Vector.Unboxed.Base | |||||
| Vector Vector Float | |||||
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: Mutable Vector s Float -> ST s (Vector Float) basicUnsafeThaw :: Vector Float -> ST s (Mutable Vector s Float) basicLength :: Vector Float -> Int basicUnsafeSlice :: Int -> Int -> Vector Float -> Vector Float basicUnsafeIndexM :: Vector Float -> Int -> Box Float basicUnsafeCopy :: Mutable Vector s Float -> Vector Float -> ST s () | |||||
| MVector MVector Float | |||||
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Float -> Int basicUnsafeSlice :: Int -> Int -> MVector s Float -> MVector s Float basicOverlaps :: MVector s Float -> MVector s Float -> Bool basicUnsafeNew :: Int -> ST s (MVector s Float) basicInitialize :: MVector s Float -> ST s () basicUnsafeReplicate :: Int -> Float -> ST s (MVector s Float) basicUnsafeRead :: MVector s Float -> Int -> ST s Float basicUnsafeWrite :: MVector s Float -> Int -> Float -> ST s () basicClear :: MVector s Float -> ST s () basicSet :: MVector s Float -> Float -> ST s () basicUnsafeCopy :: MVector s Float -> MVector s Float -> ST s () basicUnsafeMove :: MVector s Float -> MVector s Float -> ST s () basicUnsafeGrow :: MVector s Float -> Int -> ST s (MVector s Float) | |||||
| Generic1 (URec Float :: k -> Type) | |||||
Defined in GHC.Internal.Generics Associated Types
| |||||
| Foldable (UFloat :: Type -> Type) | Since: base-4.9.0.0 | ||||
Defined in GHC.Internal.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 # | |||||
| Traversable (UFloat :: Type -> Type) | Since: base-4.9.0.0 | ||||
Defined in GHC.Internal.Data.Traversable | |||||
| Functor (URec Float :: Type -> Type) | Since: base-4.9.0.0 | ||||
| Generic (URec Float p) | |||||
Defined in GHC.Internal.Generics Associated Types
| |||||
| Show (URec Float p) | |||||
| Eq (URec Float p) | |||||
| Ord (URec Float p) | |||||
Defined in GHC.Internal.Generics Methods compare :: URec Float p -> URec Float p -> Ordering Source # (<) :: URec Float p -> URec Float p -> Bool Source # (<=) :: URec Float p -> URec Float p -> Bool Source # (>) :: URec Float p -> URec Float p -> Bool Source # (>=) :: URec Float p -> URec Float p -> Bool Source # max :: URec Float p -> URec Float p -> URec Float p Source # min :: URec Float p -> URec Float p -> URec Float p Source # | |||||
| newtype Vector Float | |||||
Defined in Data.Vector.Unboxed.Base | |||||
| data URec Float (p :: k) | Used for marking occurrences of Since: base-4.9.0.0 | ||||
| newtype MVector s Float | |||||
Defined in Data.Vector.Unboxed.Base | |||||
| type Rep1 (URec Float :: k -> Type) | Since: base-4.9.0.0 | ||||
Defined in GHC.Internal.Generics | |||||
| type Rep (URec Float p) | |||||
Defined in GHC.Internal.Generics | |||||
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
| PrintfArg Double | Since: base-2.1 | ||||
Defined in Text.Printf Methods formatArg :: Double -> FieldFormatter Source # parseFormat :: Double -> ModifierParser Source # | |||||
| Enum Double |
List generators have extremely peculiar behavior, mandated by Haskell Report 2010:
Since: base-2.1 | ||||
Defined in GHC.Internal.Float Methods succ :: Double -> Double Source # pred :: Double -> Double Source # toEnum :: Int -> Double Source # fromEnum :: Double -> Int Source # enumFrom :: Double -> [Double] Source # enumFromThen :: Double -> Double -> [Double] Source # enumFromTo :: Double -> Double -> [Double] Source # enumFromThenTo :: Double -> Double -> Double -> [Double] Source # | |||||
| Floating Double | Since: base-2.1 | ||||
Defined in GHC.Internal.Float Methods exp :: Double -> Double Source # log :: Double -> Double Source # sqrt :: Double -> Double Source # (**) :: Double -> Double -> Double Source # logBase :: Double -> Double -> Double Source # sin :: Double -> Double Source # cos :: Double -> Double Source # tan :: Double -> Double Source # asin :: Double -> Double Source # acos :: Double -> Double Source # atan :: Double -> Double Source # sinh :: Double -> Double Source # cosh :: Double -> Double Source # tanh :: Double -> Double Source # asinh :: Double -> Double Source # acosh :: Double -> Double Source # atanh :: Double -> Double Source # log1p :: Double -> Double Source # expm1 :: Double -> Double Source # | |||||
| RealFloat Double | Since: base-2.1 | ||||
Defined in GHC.Internal.Float Methods floatRadix :: Double -> Integer Source # floatDigits :: Double -> Int Source # floatRange :: Double -> (Int, Int) Source # decodeFloat :: Double -> (Integer, Int) Source # encodeFloat :: Integer -> Int -> Double Source # exponent :: Double -> Int Source # significand :: Double -> Double Source # scaleFloat :: Int -> Double -> Double Source # isNaN :: Double -> Bool Source # isInfinite :: Double -> Bool Source # isDenormalized :: Double -> Bool Source # isNegativeZero :: Double -> Bool Source # | |||||
| Storable Double | Since: base-2.1 | ||||
Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Double -> Int Source # alignment :: Double -> Int Source # peekElemOff :: Ptr Double -> Int -> IO Double Source # pokeElemOff :: Ptr Double -> Int -> Double -> IO () Source # peekByteOff :: Ptr b -> Int -> IO Double Source # pokeByteOff :: Ptr b -> Int -> Double -> IO () Source # | |||||
| Num Double | This instance implements IEEE 754 standard with all its usual pitfalls about NaN, infinities and negative zero. Neither addition nor multiplication are associative or distributive:
Since: base-2.1 | ||||
Defined in GHC.Internal.Float | |||||
| Read Double | Since: base-2.1 | ||||
| Fractional Double | This instance implements IEEE 754 standard with all its usual pitfalls about NaN, infinities and negative zero.
Since: base-2.1 | ||||
| Real Double | Beware that
Since: base-2.1 | ||||
Defined in GHC.Internal.Float Methods toRational :: Double -> Rational Source # | |||||
| RealFrac Double | Beware that results for non-finite arguments are garbage:
and get even more non-sensical if you ask for Since: base-2.1 | ||||
| Show Double | Since: base-2.1 | ||||
| Eq Double | Note that due to the presence of
Also note that
| ||||
| Ord Double | IEEE 754 IEEE 754-2008, section 5.11 requires that if at least one of arguments of
IEEE 754-2008, section 5.10 defines Thus, users must be extremely cautious when using Moving further, the behaviour of IEEE 754-2008 compliant | ||||
| Hashable Double | Note: prior to The Since: hashable-1.3.0.0 | ||||
| Unbox Double | |||||
Defined in Data.Vector.Unboxed.Base | |||||
| Vector Vector Double | |||||
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: Mutable Vector s Double -> ST s (Vector Double) basicUnsafeThaw :: Vector Double -> ST s (Mutable Vector s Double) basicLength :: Vector Double -> Int basicUnsafeSlice :: Int -> Int -> Vector Double -> Vector Double basicUnsafeIndexM :: Vector Double -> Int -> Box Double basicUnsafeCopy :: Mutable Vector s Double -> Vector Double -> ST s () | |||||
| MVector MVector Double | |||||
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Double -> Int basicUnsafeSlice :: Int -> Int -> MVector s Double -> MVector s Double basicOverlaps :: MVector s Double -> MVector s Double -> Bool basicUnsafeNew :: Int -> ST s (MVector s Double) basicInitialize :: MVector s Double -> ST s () basicUnsafeReplicate :: Int -> Double -> ST s (MVector s Double) basicUnsafeRead :: MVector s Double -> Int -> ST s Double basicUnsafeWrite :: MVector s Double -> Int -> Double -> ST s () basicClear :: MVector s Double -> ST s () basicSet :: MVector s Double -> Double -> ST s () basicUnsafeCopy :: MVector s Double -> MVector s Double -> ST s () basicUnsafeMove :: MVector s Double -> MVector s Double -> ST s () basicUnsafeGrow :: MVector s Double -> Int -> ST s (MVector s Double) | |||||
| Generic1 (URec Double :: k -> Type) | |||||
Defined in GHC.Internal.Generics Associated Types
| |||||
| Foldable (UDouble :: Type -> Type) | Since: base-4.9.0.0 | ||||
Defined in GHC.Internal.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 # | |||||
| Traversable (UDouble :: Type -> Type) | Since: base-4.9.0.0 | ||||
Defined in GHC.Internal.Data.Traversable | |||||
| Functor (URec Double :: Type -> Type) | Since: base-4.9.0.0 | ||||
| Generic (URec Double p) | |||||
Defined in GHC.Internal.Generics Associated Types
| |||||
| Show (URec Double p) | Since: base-4.9.0.0 | ||||
| Eq (URec Double p) | Since: base-4.9.0.0 | ||||
| Ord (URec Double p) | Since: base-4.9.0.0 | ||||
Defined in GHC.Internal.Generics Methods compare :: URec Double p -> URec Double p -> Ordering Source # (<) :: URec Double p -> URec Double p -> Bool Source # (<=) :: URec Double p -> URec Double p -> Bool Source # (>) :: URec Double p -> URec Double p -> Bool Source # (>=) :: URec Double p -> URec Double p -> Bool Source # max :: URec Double p -> URec Double p -> URec Double p Source # min :: URec Double p -> URec Double p -> URec Double p Source # | |||||
| newtype Vector Double | |||||
Defined in Data.Vector.Unboxed.Base | |||||
| data URec Double (p :: k) | Used for marking occurrences of Since: base-4.9.0.0 | ||||
| newtype MVector s Double | |||||
Defined in Data.Vector.Unboxed.Base | |||||
| type Rep1 (URec Double :: k -> Type) | Since: base-4.9.0.0 | ||||
Defined in GHC.Internal.Generics | |||||
| type Rep (URec Double p) | Since: base-4.9.0.0 | ||||
Defined in GHC.Internal.Generics | |||||
Numeric functions
(^) :: (Num a, Integral b) => a -> b -> a infixr 8 Source #
raise a number to a non-negative integral power
(^^) :: (Fractional a, Integral b) => a -> b -> a infixr 8 Source #
raise a number to an integral power
fromIntegral :: (Integral a, Num b) => a -> b Source #
General coercion from Integral types.
WARNING: This function performs silent truncation if the result type is not at least as big as the argument's type.
realToFrac :: (Real a, Fractional b) => a -> b Source #
General coercion to Fractional types.
WARNING: This function goes through the Rational type, which does not have values for NaN for example.
This means it does not round-trip.
For Double it also behaves differently with or without -O0:
Prelude> realToFrac nan -- With -O0 -Infinity Prelude> realToFrac nan NaN
Monoids
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
You can alternatively define mconcat instead of mempty, in which case the
laws are:
- Unit
mconcat(purex) = x- Multiplication
mconcat(joinxss) =mconcat(fmapmconcatxss)- Subclass
mconcat(toListxs) =sconcatxs
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.
Methods
Identity of mappend
Examples
>>>"Hello world" <> mempty"Hello world"
>>>mempty <> [1, 2, 3][1,2,3]
mappend :: a -> a -> a Source #
An associative operation
NOTE: This method is redundant and has the default
implementation since base-4.11.0.0.
Should it be implemented manually, since 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 ByteArray | Since: base-4.17.0.0 |
| Monoid Builder | |
| Monoid ByteString | |
Defined in Data.ByteString.Internal.Type 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 ExceptionContext | |
Defined in GHC.Internal.Exception.Context Methods mempty :: ExceptionContext Source # mappend :: ExceptionContext -> ExceptionContext -> ExceptionContext Source # mconcat :: [ExceptionContext] -> ExceptionContext Source # | |
| Monoid Ordering | Since: base-2.1 |
| Monoid OsString | "String-Concatenation" for |
| Monoid PosixString | |
Defined in System.OsString.Internal.Types Methods mempty :: PosixString Source # mappend :: PosixString -> PosixString -> PosixString Source # mconcat :: [PosixString] -> PosixString Source # | |
| Monoid WindowsString | |
Defined in System.OsString.Internal.Types Methods mempty :: WindowsString Source # mappend :: WindowsString -> WindowsString -> WindowsString Source # mconcat :: [WindowsString] -> WindowsString Source # | |
| Monoid Doc | |
| Monoid Text | |
| Monoid Builder | |
| Monoid Text | |
| Monoid StrictTextBuilder | |
Defined in Data.Text.Internal.StrictBuilder Methods mempty :: StrictTextBuilder Source # mappend :: StrictTextBuilder -> StrictTextBuilder -> StrictTextBuilder Source # mconcat :: [StrictTextBuilder] -> StrictTextBuilder Source # | |
| Monoid () | Since: base-2.1 |
| Monoid (Comparison a) |
mempty :: Comparison a mempty = Comparison _ _ -> EQ |
Defined in Data.Functor.Contravariant Methods mempty :: Comparison a Source # mappend :: Comparison a -> Comparison a -> Comparison a Source # mconcat :: [Comparison a] -> Comparison a Source # | |
| Monoid (Equivalence a) |
mempty :: Equivalence a mempty = Equivalence _ _ -> True |
Defined in Data.Functor.Contravariant Methods mempty :: Equivalence a Source # mappend :: Equivalence a -> Equivalence a -> Equivalence a Source # mconcat :: [Equivalence a] -> Equivalence a Source # | |
| Monoid (Predicate a) |
mempty :: Predicate a mempty = _ -> True |
| (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 |
| 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 (IntMap a) | |
| Monoid (Seq a) | |
| Monoid (MergeSet a) | |
| Ord a => Monoid (Set a) | |
| Monoid a => Monoid (Down a) | Since: base-4.11.0.0 |
| (Generic a, Monoid (Rep a ())) => Monoid (Generically a) | Since: base-4.17.0.0 |
Defined in GHC.Internal.Generics Methods mempty :: Generically a Source # mappend :: Generically a -> Generically a -> Generically a Source # mconcat :: [Generically a] -> Generically a Source # | |
| Monoid p => Monoid (Par1 p) | Since: base-4.12.0.0 |
| Monoid a => Monoid (IO a) | Since: base-4.9.0.0 |
| Monoid (Doc a) | |
| Monoid (Array a) | |
| Monoid (PrimArray a) | |
| Monoid (SmallArray a) | |
| Monoid (Validity k) | |
| (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) | |
| Monoid (Vector a) | |
| Unbox 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 (Solo a) | Since: base-4.15 |
| Monoid [a] | Since: base-2.1 |
| Monoid a => Monoid (Op a b) |
mempty :: Op a b mempty = Op _ -> mempty |
| Ord k => Monoid (Map k v) | |
| Monoid (U1 p) | Since: base-4.12.0.0 |
| (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 a, Monoid b) => Monoid (a, b) | Since: base-2.1 |
| Monoid b => Monoid (a -> b) | Since: base-2.1 |
| Monoid (f p) => Monoid (Rec1 f p) | Since: base-4.12.0.0 |
| Monoid a => Monoid (Constant a b) | |
| (Monoid a, Monoid b, Monoid c) => Monoid (a, b, c) | Since: base-2.1 |
| (Monoid (f a), Monoid (g a)) => Monoid (Product f g a) | Since: base-4.16.0.0 |
| (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 a)) => Monoid (Compose f g a) | Since: base-4.16.0.0 |
| 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 |
(<>) :: Semigroup a => a -> a -> a infixr 6 Source #
An associative operation.
Examples
>>>[1,2,3] <> [4,5,6][1,2,3,4,5,6]
>>>Just [1, 2, 3] <> Just [4, 5, 6]Just [1,2,3,4,5,6]
>>>putStr "Hello, " <> putStrLn "World!"Hello, World!
Folds and traversals
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 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 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 SCC | Since: containers-0.5.9 |
Defined in Data.Graph Methods fold :: Monoid m => SCC m -> m Source # foldMap :: Monoid m => (a -> m) -> SCC a -> m Source # foldMap' :: Monoid m => (a -> m) -> SCC a -> m Source # foldr :: (a -> b -> b) -> b -> SCC a -> b Source # foldr' :: (a -> b -> b) -> b -> SCC a -> b Source # foldl :: (b -> a -> b) -> b -> SCC a -> b Source # foldl' :: (b -> a -> b) -> b -> SCC a -> b Source # foldr1 :: (a -> a -> a) -> SCC a -> a Source # foldl1 :: (a -> a -> a) -> SCC a -> a Source # toList :: SCC a -> [a] Source # null :: SCC a -> Bool Source # length :: SCC a -> Int Source # elem :: Eq a => a -> SCC a -> Bool Source # maximum :: Ord a => SCC a -> a Source # minimum :: Ord a => SCC 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 | Folds in preorder |
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 NonEmpty | Since: base-4.9.0.0 |
Defined in GHC.Internal.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 First | Since: base-4.8.0.0 |
Defined in GHC.Internal.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 GHC.Internal.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 GHC.Internal.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 Dual | Since: base-4.8.0.0 |
Defined in GHC.Internal.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 GHC.Internal.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 GHC.Internal.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 Par1 | Since: base-4.9.0.0 |
Defined in GHC.Internal.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 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 # | |
| 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 Vector | |
Defined in Data.Vector.Strict 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 GHC.Internal.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 GHC.Internal.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 GHC.Internal.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 (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 (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 (Array i) | Since: base-4.8.0.0 |
Defined in GHC.Internal.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 (Either a) | Since: base-4.7.0.0 |
Defined in GHC.Internal.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 GHC.Internal.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 (U1 :: Type -> Type) | Since: base-4.9.0.0 |
Defined in GHC.Internal.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 GHC.Internal.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 GHC.Internal.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 GHC.Internal.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 GHC.Internal.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 GHC.Internal.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 GHC.Internal.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 GHC.Internal.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 f => Foldable (Lift f) | |
Defined in Control.Applicative.Lift Methods fold :: Monoid m => Lift f m -> m Source # foldMap :: Monoid m => (a -> m) -> Lift f a -> m Source # foldMap' :: Monoid m => (a -> m) -> Lift f a -> m Source # foldr :: (a -> b -> b) -> b -> Lift f a -> b Source # foldr' :: (a -> b -> b) -> b -> Lift f a -> b Source # foldl :: (b -> a -> b) -> b -> Lift f a -> b Source # foldl' :: (b -> a -> b) -> b -> Lift f a -> b Source # foldr1 :: (a -> a -> a) -> Lift f a -> a Source # foldl1 :: (a -> a -> a) -> Lift f a -> a Source # toList :: Lift f a -> [a] Source # null :: Lift f a -> Bool Source # length :: Lift f a -> Int Source # elem :: Eq a => a -> Lift f a -> Bool Source # maximum :: Ord a => Lift f a -> a Source # minimum :: Ord a => Lift 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 GHC.Internal.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 f => Foldable (Ap f) | Since: base-4.12.0.0 |
Defined in GHC.Internal.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 GHC.Internal.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 GHC.Internal.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 # | |
| Foldable f => Foldable (Backwards f) | Derived instance. |
Defined in Control.Applicative.Backwards Methods fold :: Monoid m => Backwards f m -> m Source # foldMap :: Monoid m => (a -> m) -> Backwards f a -> m Source # foldMap' :: Monoid m => (a -> m) -> Backwards f a -> m Source # foldr :: (a -> b -> b) -> b -> Backwards f a -> b Source # foldr' :: (a -> b -> b) -> b -> Backwards f a -> b Source # foldl :: (b -> a -> b) -> b -> Backwards f a -> b Source # foldl' :: (b -> a -> b) -> b -> Backwards f a -> b Source # foldr1 :: (a -> a -> a) -> Backwards f a -> a Source # foldl1 :: (a -> a -> a) -> Backwards f a -> a Source # toList :: Backwards f a -> [a] Source # null :: Backwards f a -> Bool Source # length :: Backwards f a -> Int Source # elem :: Eq a => a -> Backwards f a -> Bool Source # maximum :: Ord a => Backwards f a -> a Source # minimum :: Ord a => Backwards f a -> a Source # | |
| Foldable f => Foldable (ExceptT e f) | |
Defined in Control.Monad.Trans.Except Methods fold :: Monoid m => ExceptT e f m -> m Source # foldMap :: Monoid m => (a -> m) -> ExceptT e f a -> m Source # foldMap' :: Monoid m => (a -> m) -> ExceptT e f a -> m Source # foldr :: (a -> b -> b) -> b -> ExceptT e f a -> b Source # foldr' :: (a -> b -> b) -> b -> ExceptT e f a -> b Source # foldl :: (b -> a -> b) -> b -> ExceptT e f a -> b Source # foldl' :: (b -> a -> b) -> b -> ExceptT e f a -> b Source # foldr1 :: (a -> a -> a) -> ExceptT e f a -> a Source # foldl1 :: (a -> a -> a) -> ExceptT e f a -> a Source # toList :: ExceptT e f a -> [a] Source # null :: ExceptT e f a -> Bool Source # length :: ExceptT e f a -> Int Source # elem :: Eq a => a -> ExceptT e f a -> Bool Source # maximum :: Ord a => ExceptT e f a -> a Source # minimum :: Ord a => ExceptT 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 (Constant a :: Type -> Type) | |
Defined in Data.Functor.Constant Methods fold :: Monoid m => Constant a m -> m Source # foldMap :: Monoid m => (a0 -> m) -> Constant a a0 -> m Source # foldMap' :: Monoid m => (a0 -> m) -> Constant a a0 -> m Source # foldr :: (a0 -> b -> b) -> b -> Constant a a0 -> b Source # foldr' :: (a0 -> b -> b) -> b -> Constant a a0 -> b Source # foldl :: (b -> a0 -> b) -> b -> Constant a a0 -> b Source # foldl' :: (b -> a0 -> b) -> b -> Constant a a0 -> b Source # foldr1 :: (a0 -> a0 -> a0) -> Constant a a0 -> a0 Source # foldl1 :: (a0 -> a0 -> a0) -> Constant a a0 -> a0 Source # toList :: Constant a a0 -> [a0] Source # null :: Constant a a0 -> Bool Source # length :: Constant a a0 -> Int Source # elem :: Eq a0 => a0 -> Constant a a0 -> Bool Source # maximum :: Ord a0 => Constant a a0 -> a0 Source # minimum :: Ord a0 => Constant a a0 -> a0 Source # | |
| Foldable f => Foldable (Reverse f) | Fold from right to left. |
Defined in Data.Functor.Reverse Methods fold :: Monoid m => Reverse f m -> m Source # foldMap :: Monoid m => (a -> m) -> Reverse f a -> m Source # foldMap' :: Monoid m => (a -> m) -> Reverse f a -> m Source # foldr :: (a -> b -> b) -> b -> Reverse f a -> b Source # foldr' :: (a -> b -> b) -> b -> Reverse f a -> b Source # foldl :: (b -> a -> b) -> b -> Reverse f a -> b Source # foldl' :: (b -> a -> b) -> b -> Reverse f a -> b Source # foldr1 :: (a -> a -> a) -> Reverse f a -> a Source # foldl1 :: (a -> a -> a) -> Reverse f a -> a Source # toList :: Reverse f a -> [a] Source # null :: Reverse f a -> Bool Source # length :: Reverse f a -> Int Source # elem :: Eq a => a -> Reverse f a -> Bool Source # maximum :: Ord a => Reverse f a -> a Source # minimum :: Ord a => Reverse 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 GHC.Internal.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 GHC.Internal.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 GHC.Internal.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 GHC.Internal.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 GHC.Internal.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 # | |
asum :: (Foldable t, Alternative f) => t (f a) -> f a Source #
The sum of a collection of actions using (<|>), generalizing concat.
asum is just like msum, but generalised to Alternative.
Examples
Basic usage:
>>>asum [Just "Hello", Nothing, Just "World"]Just "Hello"
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 Complex | Since: base-4.9.0.0 |
Defined in Data.Complex | |
| 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 SCC | Since: containers-0.5.9 |
| 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 NonEmpty | Since: base-4.9.0.0 |
Defined in GHC.Internal.Data.Traversable | |
| Traversable Identity | Since: base-4.9.0.0 |
Defined in GHC.Internal.Data.Traversable | |
| Traversable First | Since: base-4.8.0.0 |
Defined in GHC.Internal.Data.Traversable | |
| Traversable Last | Since: base-4.8.0.0 |
Defined in GHC.Internal.Data.Traversable | |
| Traversable Down | Since: base-4.12.0.0 |
Defined in GHC.Internal.Data.Traversable | |
| Traversable Dual | Since: base-4.8.0.0 |
Defined in GHC.Internal.Data.Traversable | |
| Traversable Product | Since: base-4.8.0.0 |
Defined in GHC.Internal.Data.Traversable | |
| Traversable Sum | Since: base-4.8.0.0 |
| Traversable Par1 | Since: base-4.9.0.0 |
Defined in GHC.Internal.Data.Traversable | |
| 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 Vector | |
Defined in Data.Vector.Strict | |
| Traversable Maybe | Since: base-2.1 |
Defined in GHC.Internal.Data.Traversable | |
| Traversable Solo | Since: base-4.15 |
Defined in GHC.Internal.Data.Traversable | |
| Traversable [] | Since: base-2.1 |
| Traversable (Arg a) | Since: base-4.9.0.0 |
Defined in Data.Semigroup | |
| Traversable (Map k) | Traverses in order of increasing key. |
| Ix i => Traversable (Array i) | Since: base-2.1 |
Defined in GHC.Internal.Data.Traversable | |
| Traversable (Either a) | Since: base-4.7.0.0 |
Defined in GHC.Internal.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 |
Defined in GHC.Internal.Data.Traversable | |
| Traversable (U1 :: Type -> Type) | Since: base-4.9.0.0 |
| Traversable (UAddr :: Type -> Type) | Since: base-4.9.0.0 |
Defined in GHC.Internal.Data.Traversable | |
| Traversable (UChar :: Type -> Type) | Since: base-4.9.0.0 |
Defined in GHC.Internal.Data.Traversable | |
| Traversable (UDouble :: Type -> Type) | Since: base-4.9.0.0 |
Defined in GHC.Internal.Data.Traversable | |
| Traversable (UFloat :: Type -> Type) | Since: base-4.9.0.0 |
Defined in GHC.Internal.Data.Traversable | |
| Traversable (UInt :: Type -> Type) | Since: base-4.9.0.0 |
Defined in GHC.Internal.Data.Traversable | |
| Traversable (UWord :: Type -> Type) | Since: base-4.9.0.0 |
Defined in GHC.Internal.Data.Traversable | |
| Traversable (V1 :: Type -> Type) | Since: base-4.9.0.0 |
| Traversable f => Traversable (Lift f) | |
Defined in Control.Applicative.Lift | |
| 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 GHC.Internal.Data.Traversable | |
| Traversable f => Traversable (Ap f) | Since: base-4.12.0.0 |
Defined in GHC.Internal.Data.Traversable | |
| Traversable f => Traversable (Alt f) | Since: base-4.12.0.0 |
Defined in GHC.Internal.Data.Traversable | |
| Traversable f => Traversable (Rec1 f) | Since: base-4.9.0.0 |
Defined in GHC.Internal.Data.Traversable | |
| Traversable f => Traversable (Backwards f) | Derived instance. |
Defined in Control.Applicative.Backwards Methods traverse :: Applicative f0 => (a -> f0 b) -> Backwards f a -> f0 (Backwards f b) Source # sequenceA :: Applicative f0 => Backwards f (f0 a) -> f0 (Backwards f a) Source # mapM :: Monad m => (a -> m b) -> Backwards f a -> m (Backwards f b) Source # sequence :: Monad m => Backwards f (m a) -> m (Backwards f a) Source # | |
| Traversable f => Traversable (ExceptT e f) | |
Defined in Control.Monad.Trans.Except Methods traverse :: Applicative f0 => (a -> f0 b) -> ExceptT e f a -> f0 (ExceptT e f b) Source # sequenceA :: Applicative f0 => ExceptT e f (f0 a) -> f0 (ExceptT e f a) Source # mapM :: Monad m => (a -> m b) -> ExceptT e f a -> m (ExceptT e f b) Source # sequence :: Monad m => ExceptT e f (m a) -> m (ExceptT 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 (Constant a :: Type -> Type) | |
Defined in Data.Functor.Constant Methods traverse :: Applicative f => (a0 -> f b) -> Constant a a0 -> f (Constant a b) Source # sequenceA :: Applicative f => Constant a (f a0) -> f (Constant a a0) Source # mapM :: Monad m => (a0 -> m b) -> Constant a a0 -> m (Constant a b) Source # sequence :: Monad m => Constant a (m a0) -> m (Constant a a0) Source # | |
| Traversable f => Traversable (Reverse f) | Traverse from right to left. |
Defined in Data.Functor.Reverse Methods traverse :: Applicative f0 => (a -> f0 b) -> Reverse f a -> f0 (Reverse f b) Source # sequenceA :: Applicative f0 => Reverse f (f0 a) -> f0 (Reverse f a) Source # mapM :: Monad m => (a -> m b) -> Reverse f a -> m (Reverse f b) Source # sequence :: Monad m => Reverse f (m a) -> m (Reverse 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 GHC.Internal.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 GHC.Internal.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 GHC.Internal.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 GHC.Internal.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 GHC.Internal.Data.Traversable | |
arrow
first :: Arrow a => a b c -> a (b, d) (c, d) Source #
Send the first component of the input through the argument arrow, and copy the rest unchanged to the output.
second :: Arrow a => a b c -> a (d, b) (d, c) Source #
A mirror image of first.
The default definition may be overridden with a more efficient version if desired.
(***) :: 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.
Bool
bool :: a -> a -> Bool -> a Source #
Case analysis for the Bool type. evaluates to bool f t pf
when p is False, and evaluates to t when p is True.
This is equivalent to if p then t else f; 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 and bool f t pif p then t else f are
equivalent:
>>>let p = True; f = "bar"; t = "foo">>>bool f t p == if p then t else fTrue>>>let p = False>>>bool f t p == if p then t else fTrue
Since: base-4.7.0.0
Maybe
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 . If this is Maybe bNothing, no element
is added on to the result list. If it is , then Just bb is
included in the result list.
Examples
Using is a shortcut for mapMaybe f x
in most cases:catMaybes $ map f x
>>>import GHC.Internal.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]
catMaybes :: [Maybe a] -> [a] Source #
The catMaybes function takes a list of Maybes and returns
a list of all the Just values.
Examples
Basic usage:
>>>catMaybes [Just 1, Nothing, Just 3][1,3]
When constructing a list of Maybe values, catMaybes can be used
to return all of the "success" results (if the list is the result
of a map, then mapMaybe would be more appropriate):
>>>import GHC.Internal.Text.Read ( readMaybe )>>>[readMaybe x :: Maybe Int | x <- ["1", "Foo", "3"] ][Just 1,Nothing,Just 3]>>>catMaybes $ [readMaybe x :: Maybe Int | x <- ["1", "Foo", "3"] ][1,3]
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 GHC.Internal.Text.Read ( readMaybe )>>>fromMaybe 0 (readMaybe "5")5>>>fromMaybe 0 (readMaybe "")0
listToMaybe :: [a] -> Maybe a Source #
The listToMaybe function returns Nothing on an empty list
or where 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]
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 GHC.Internal.Text.Read ( readMaybe )>>>sum $ maybeToList (readMaybe "3")3>>>sum $ maybeToList (readMaybe "")0
Either
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 should be the same
pair as 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
Ord
on :: (b -> b -> c) -> (a -> b) -> a -> a -> c infixl 0 Source #
runs the binary function on b u x yb on the results of applying
unary function u to two arguments x and y. From the opposite
perspective, it transforms two inputs and combines the outputs.
(op `on` f) x y = f x `op` f y
Examples
>>>sortBy (compare `on` length) [[0, 1, 2], [0, 1], [], [0]][[],[0],[0,1],[0,1,2]]
>>>((+) `on` length) [1, 2, 3] [-1]4
>>>((,) `on` (*2)) 2 3(4,6)
Algebraic properties
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 Down type allows you to reverse sort order conveniently. A value of type
contains a value of type Down aa (represented as ).Down a
If a has an instance associated with it then comparing two
values thus wrapped will give you the opposite of their normal sort order.
This is particularly useful when sorting in generalised list comprehensions,
as in: Ordthen sortWith by .Down x
>>>compare True FalseGT
>>>compare (Down True) (Down False)LT
If a has a instance then the wrapped instance also respects
the reversed ordering by exchanging the values of Bounded and
minBound.maxBound
>>>minBound :: Int-9223372036854775808
>>>minBound :: Down IntDown 9223372036854775807
All other instances of behave as they do for Down aa.
Since: base-4.6.0.0
Instances
| MonadZip Down | Since: base-4.12.0.0 | ||||
| Foldable1 Down | Since: base-4.18.0.0 | ||||
Defined in Data.Foldable1 Methods fold1 :: Semigroup m => Down m -> m Source # foldMap1 :: Semigroup m => (a -> m) -> Down a -> m Source # foldMap1' :: Semigroup m => (a -> m) -> Down a -> m Source # toNonEmpty :: Down a -> NonEmpty a Source # maximum :: Ord a => Down a -> a Source # minimum :: Ord a => Down a -> a Source # foldrMap1 :: (a -> b) -> (a -> b -> b) -> Down a -> b Source # foldlMap1' :: (a -> b) -> (b -> a -> b) -> Down a -> b Source # foldlMap1 :: (a -> b) -> (b -> a -> b) -> Down a -> b Source # foldrMap1' :: (a -> b) -> (a -> b -> b) -> Down a -> b Source # | |||||
| Eq1 Down | Since: base-4.12.0.0 | ||||
| Ord1 Down | Since: base-4.12.0.0 | ||||
Defined in Data.Functor.Classes | |||||
| Read1 Down | Since: base-4.12.0.0 | ||||
Defined in Data.Functor.Classes Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Down a) Source # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Down a] Source # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Down a) Source # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Down a] Source # | |||||
| Show1 Down | Since: base-4.12.0.0 | ||||
| Applicative Down | Since: base-4.11.0.0 | ||||
| Functor Down | Since: base-4.11.0.0 | ||||
| Monad Down | Since: base-4.11.0.0 | ||||
| Foldable Down | Since: base-4.12.0.0 | ||||
Defined in GHC.Internal.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 # | |||||
| Traversable Down | Since: base-4.12.0.0 | ||||
Defined in GHC.Internal.Data.Traversable | |||||
| Generic1 Down | |||||
Defined in GHC.Internal.Generics Associated Types
| |||||
| Unbox a => Vector Vector (Down a) | |||||
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: Mutable Vector s (Down a) -> ST s (Vector (Down a)) basicUnsafeThaw :: Vector (Down a) -> ST s (Mutable Vector s (Down a)) basicLength :: Vector (Down a) -> Int basicUnsafeSlice :: Int -> Int -> Vector (Down a) -> Vector (Down a) basicUnsafeIndexM :: Vector (Down a) -> Int -> Box (Down a) basicUnsafeCopy :: Mutable Vector s (Down a) -> Vector (Down a) -> ST s () | |||||
| Unbox a => MVector MVector (Down a) | |||||
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s (Down a) -> Int basicUnsafeSlice :: Int -> Int -> MVector s (Down a) -> MVector s (Down a) basicOverlaps :: MVector s (Down a) -> MVector s (Down a) -> Bool basicUnsafeNew :: Int -> ST s (MVector s (Down a)) basicInitialize :: MVector s (Down a) -> ST s () basicUnsafeReplicate :: Int -> Down a -> ST s (MVector s (Down a)) basicUnsafeRead :: MVector s (Down a) -> Int -> ST s (Down a) basicUnsafeWrite :: MVector s (Down a) -> Int -> Down a -> ST s () basicClear :: MVector s (Down a) -> ST s () basicSet :: MVector s (Down a) -> Down a -> ST s () basicUnsafeCopy :: MVector s (Down a) -> MVector s (Down a) -> ST s () basicUnsafeMove :: MVector s (Down a) -> MVector s (Down a) -> ST s () basicUnsafeGrow :: MVector s (Down a) -> Int -> ST s (MVector s (Down a)) | |||||
| Monoid a => Monoid (Down a) | Since: base-4.11.0.0 | ||||
| Semigroup a => Semigroup (Down a) | Since: base-4.11.0.0 | ||||
| Bits a => Bits (Down a) | Since: base-4.14.0.0 | ||||
Defined in GHC.Internal.Data.Ord Methods (.&.) :: Down a -> Down a -> Down a Source # (.|.) :: Down a -> Down a -> Down a Source # xor :: Down a -> Down a -> Down a Source # complement :: Down a -> Down a Source # shift :: Down a -> Int -> Down a Source # rotate :: Down a -> Int -> Down a Source # setBit :: Down a -> Int -> Down a Source # clearBit :: Down a -> Int -> Down a Source # complementBit :: Down a -> Int -> Down a Source # testBit :: Down a -> Int -> Bool Source # bitSizeMaybe :: Down a -> Maybe Int Source # bitSize :: Down a -> Int Source # isSigned :: Down a -> Bool Source # shiftL :: Down a -> Int -> Down a Source # unsafeShiftL :: Down a -> Int -> Down a Source # shiftR :: Down a -> Int -> Down a Source # unsafeShiftR :: Down a -> Int -> Down a Source # rotateL :: Down a -> Int -> Down a Source # | |||||
| FiniteBits a => FiniteBits (Down a) | Since: base-4.14.0.0 | ||||
Defined in GHC.Internal.Data.Ord Methods finiteBitSize :: Down a -> Int Source # countLeadingZeros :: Down a -> Int Source # countTrailingZeros :: Down a -> Int Source # | |||||
| Bounded a => Bounded (Down a) | Swaps Since: base-4.14.0.0 | ||||
| (Enum a, Bounded a, Eq a) => Enum (Down a) | Swaps Since: base-4.18.0.0 | ||||
Defined in GHC.Internal.Data.Ord Methods succ :: Down a -> Down a Source # pred :: Down a -> Down a Source # toEnum :: Int -> Down a Source # fromEnum :: Down a -> Int Source # enumFrom :: Down a -> [Down a] Source # enumFromThen :: Down a -> Down a -> [Down a] Source # enumFromTo :: Down a -> Down a -> [Down a] Source # enumFromThenTo :: Down a -> Down a -> Down a -> [Down a] Source # | |||||
| Floating a => Floating (Down a) | Since: base-4.14.0.0 | ||||
Defined in GHC.Internal.Data.Ord Methods exp :: Down a -> Down a Source # log :: Down a -> Down a Source # sqrt :: Down a -> Down a Source # (**) :: Down a -> Down a -> Down a Source # logBase :: Down a -> Down a -> Down a Source # sin :: Down a -> Down a Source # cos :: Down a -> Down a Source # tan :: Down a -> Down a Source # asin :: Down a -> Down a Source # acos :: Down a -> Down a Source # atan :: Down a -> Down a Source # sinh :: Down a -> Down a Source # cosh :: Down a -> Down a Source # tanh :: Down a -> Down a Source # asinh :: Down a -> Down a Source # acosh :: Down a -> Down a Source # atanh :: Down a -> Down a Source # log1p :: Down a -> Down a Source # expm1 :: Down a -> Down a Source # | |||||
| RealFloat a => RealFloat (Down a) | Since: base-4.14.0.0 | ||||
Defined in GHC.Internal.Data.Ord Methods floatRadix :: Down a -> Integer Source # floatDigits :: Down a -> Int Source # floatRange :: Down a -> (Int, Int) Source # decodeFloat :: Down a -> (Integer, Int) Source # encodeFloat :: Integer -> Int -> Down a Source # exponent :: Down a -> Int Source # significand :: Down a -> Down a Source # scaleFloat :: Int -> Down a -> Down a Source # isNaN :: Down a -> Bool Source # isInfinite :: Down a -> Bool Source # isDenormalized :: Down a -> Bool Source # isNegativeZero :: Down a -> Bool Source # | |||||
| Storable a => Storable (Down a) | Since: base-4.14.0.0 | ||||
Defined in GHC.Internal.Data.Ord Methods sizeOf :: Down a -> Int Source # alignment :: Down a -> Int Source # peekElemOff :: Ptr (Down a) -> Int -> IO (Down a) Source # pokeElemOff :: Ptr (Down a) -> Int -> Down a -> IO () Source # peekByteOff :: Ptr b -> Int -> IO (Down a) Source # pokeByteOff :: Ptr b -> Int -> Down a -> IO () Source # | |||||
| Generic (Down a) | |||||
Defined in GHC.Internal.Generics Associated Types
| |||||
| Ix a => Ix (Down a) | Since: base-4.14.0.0 | ||||
| Num a => Num (Down a) | Since: base-4.11.0.0 | ||||
Defined in GHC.Internal.Data.Ord | |||||
| Read a => Read (Down a) | This instance would be equivalent to the derived instances of the
Since: base-4.7.0.0 | ||||
| Fractional a => Fractional (Down a) | Since: base-4.14.0.0 | ||||
| Real a => Real (Down a) | Since: base-4.14.0.0 | ||||
Defined in GHC.Internal.Data.Ord Methods toRational :: Down a -> Rational Source # | |||||
| RealFrac a => RealFrac (Down a) | Since: base-4.14.0.0 | ||||
| Show a => Show (Down a) | This instance would be equivalent to the derived instances of the
Since: base-4.7.0.0 | ||||
| Eq a => Eq (Down a) | Since: base-4.6.0.0 | ||||
| Ord a => Ord (Down a) | Since: base-4.6.0.0 | ||||
| Unbox a => Unbox (Down a) | |||||
Defined in Data.Vector.Unboxed.Base | |||||
| type Rep1 Down | Since: base-4.12.0.0 | ||||
Defined in GHC.Internal.Generics | |||||
| newtype MVector s (Down a) | |||||
Defined in Data.Vector.Unboxed.Base | |||||
| type Rep (Down a) | Since: base-4.12.0.0 | ||||
Defined in GHC.Internal.Generics | |||||
| newtype Vector (Down a) | |||||
Defined in Data.Vector.Unboxed.Base | |||||
Applicative
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 into the Structure.
Examples
>>>pure 1 :: Maybe IntJust 1
>>>pure 'z' :: [Char]"z"
>>>pure (pure ":D") :: Maybe [String]Just [":D"]
(<*>) :: 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)
>>>liftA2 (+) [1, 2, 3] [4, 5, 6][5,6,7,6,7,8,7,8,9]
(*>) :: 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 GHC.Internal.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 Complex | Since: base-4.9.0.0 |
| 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 Put | |
| Applicative Seq | Since: containers-0.5.4 |
| Applicative Tree | |
| Applicative NonEmpty | Since: base-4.9.0.0 |
Defined in GHC.Internal.Base | |
| Applicative Down | Since: base-4.11.0.0 |
| Applicative Par1 | Since: base-4.9.0.0 |
| Applicative P | Since: base-4.5.0.0 |
| Applicative ReadP | Since: base-4.6.0.0 |
Defined in GHC.Internal.Text.ParserCombinators.ReadP | |
| 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 Vector | |
| Applicative Id | |
| Applicative Vector | |
| Applicative Maybe | Since: base-2.1 |
| Applicative Solo | Since: base-4.15 |
| Applicative [] | Since: base-2.1 |
| 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 # | |
| Applicative (SetM s) | |
| Arrow a => Applicative (ArrowMonad a) | Since: base-4.6.0.0 |
Defined in GHC.Internal.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 GHC.Internal.Data.Either | |
| Applicative (U1 :: Type -> Type) | Since: base-4.9.0.0 |
| Applicative (IParser t) | |
Defined in Data.Text.Internal.Read | |
| Applicative f => Applicative (Lift f) | A combination is |
| (Functor m, Monad m) => Applicative (MaybeT m) | |
Defined in Control.Monad.Trans.Maybe | |
| 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 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 # | |
| Applicative m => Applicative (Kleisli m a) | Since: base-4.14.0.0 |
Defined in GHC.Internal.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 # | |
| (Generic1 f, Applicative (Rep1 f)) => Applicative (Generically1 f) | Since: base-4.17.0.0 |
Defined in GHC.Internal.Generics Methods pure :: a -> Generically1 f a Source # (<*>) :: Generically1 f (a -> b) -> Generically1 f a -> Generically1 f b Source # liftA2 :: (a -> b -> c) -> Generically1 f a -> Generically1 f b -> Generically1 f c Source # (*>) :: Generically1 f a -> Generically1 f b -> Generically1 f b Source # (<*) :: Generically1 f a -> Generically1 f b -> Generically1 f a Source # | |
| Applicative f => Applicative (Rec1 f) | Since: base-4.9.0.0 |
| Applicative f => Applicative (Backwards f) | Apply |
Defined in Control.Applicative.Backwards Methods pure :: a -> Backwards f a Source # (<*>) :: Backwards f (a -> b) -> Backwards f a -> Backwards f b Source # liftA2 :: (a -> b -> c) -> Backwards f a -> Backwards f b -> Backwards f c Source # (*>) :: Backwards f a -> Backwards f b -> Backwards f b Source # (<*) :: Backwards f a -> Backwards f b -> Backwards f a Source # | |
| (Monoid w, Functor m, Monad m) => Applicative (AccumT w m) | |
Defined in Control.Monad.Trans.Accum Methods pure :: a -> AccumT w m a Source # (<*>) :: AccumT w m (a -> b) -> AccumT w m a -> AccumT w m b Source # liftA2 :: (a -> b -> c) -> AccumT w m a -> AccumT w m b -> AccumT w m c Source # (*>) :: AccumT w m a -> AccumT w m b -> AccumT w m b Source # (<*) :: AccumT w m a -> AccumT w m b -> AccumT w m a Source # | |
| (Functor m, Monad m) => Applicative (ExceptT e m) | |
Defined in Control.Monad.Trans.Except Methods pure :: a -> ExceptT e m a Source # (<*>) :: ExceptT e m (a -> b) -> ExceptT e m a -> ExceptT e m b Source # liftA2 :: (a -> b -> c) -> ExceptT e m a -> ExceptT e m b -> ExceptT e m c Source # (*>) :: ExceptT e m a -> ExceptT e m b -> ExceptT e m b Source # (<*) :: ExceptT e m a -> ExceptT e m b -> ExceptT 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 (SelectT r m) | |
Defined in Control.Monad.Trans.Select Methods pure :: a -> SelectT r m a Source # (<*>) :: SelectT r m (a -> b) -> SelectT r m a -> SelectT r m b Source # liftA2 :: (a -> b -> c) -> SelectT r m a -> SelectT r m b -> SelectT r m c Source # (*>) :: SelectT r m a -> SelectT r m b -> SelectT r m b Source # (<*) :: SelectT r m a -> SelectT r m b -> SelectT 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 # | |
| (Functor m, Monad m) => Applicative (WriterT w m) | |
Defined in Control.Monad.Trans.Writer.CPS 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.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 => Applicative (Constant a :: Type -> Type) | |
Defined in Data.Functor.Constant Methods pure :: a0 -> Constant a a0 Source # (<*>) :: Constant a (a0 -> b) -> Constant a a0 -> Constant a b Source # liftA2 :: (a0 -> b -> c) -> Constant a a0 -> Constant a b -> Constant a c Source # (*>) :: Constant a a0 -> Constant a b -> Constant a b Source # (<*) :: Constant a a0 -> Constant a b -> Constant a a0 Source # | |
| Applicative f => Applicative (Reverse f) | Derived instance. |
Defined in Data.Functor.Reverse | |
| (Monoid a, Monoid b) => Applicative ((,,) a b) | Since: base-4.14.0.0 |
Defined in GHC.Internal.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 # | |
| (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 f, Applicative g) => Applicative (f :*: g) | Since: base-4.9.0.0 |
Defined in GHC.Internal.Generics | |
| Monoid c => Applicative (K1 i c :: Type -> Type) | Since: base-4.12.0.0 |
| 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.Internal.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 # | |
| (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 # | |
| (Applicative f, Applicative g) => Applicative (f :.: g) | Since: base-4.9.0.0 |
Defined in GHC.Internal.Generics | |
| Applicative f => Applicative (M1 i c f) | Since: base-4.9.0.0 |
Defined in GHC.Internal.Generics | |
| (Functor m, Monad m) => Applicative (RWST r w s m) | |
Defined in Control.Monad.Trans.RWS.CPS 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.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 # | |
(<$>) :: 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, <$> is function
application lifted over a Functor.
Examples
Convert from a to a Maybe Int using Maybe
Stringshow:
>>>show <$> NothingNothing
>>>show <$> Just 3Just "3"
Convert from an to an
Either Int IntEither IntString using show:
>>>show <$> 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)
(<|>) :: Alternative f => f a -> f a -> f a infixl 3 Source #
An associative binary operation
Monad
Transformers
lift :: (MonadTrans t, Monad m) => m a -> t m a Source #
Lift a computation from the argument monad to the constructed monad.
class Monad m => MonadIO (m :: Type -> Type) 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:
Minimal complete definition
Instances
| MonadIO IO | Since: base-4.9.0.0 |
| MonadIO m => MonadIO (MaybeT m) | |
| (Monoid w, Functor m, MonadIO m) => MonadIO (AccumT w m) | |
| MonadIO m => MonadIO (ExceptT e m) | |
| MonadIO m => MonadIO (IdentityT m) | |
| MonadIO m => MonadIO (ReaderT r m) | |
| MonadIO m => MonadIO (SelectT r m) | |
| MonadIO m => MonadIO (StateT s m) | |
| MonadIO m => MonadIO (StateT s m) | |
| MonadIO m => MonadIO (WriterT w m) | |
| (Monoid w, MonadIO m) => MonadIO (WriterT w m) | |
| (Monoid w, MonadIO m) => MonadIO (WriterT w m) | |
| MonadIO m => MonadIO (ContT r m) | |
| MonadIO m => MonadIO (RWST r w s m) | |
| (Monoid w, MonadIO m) => MonadIO (RWST r w s m) | |
| (Monoid w, MonadIO m) => MonadIO (RWST r w s m) | |
liftIO :: MonadIO m => 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 , we would have ended up with this error: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 and returns an IO a(m a): ,
enabling us to run the program and see the expected results:liftIO
> evalStateT printState "hello" "hello" > evalStateT printState 3 3
Exceptions
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 #
toException should produce a SomeException with no attached ExceptionContext.
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
backtraceDesired :: e -> Bool Source #
Instances
| Exception Timeout | Since: base-4.7.0.0 |
Defined in System.Timeout Methods toException :: Timeout -> SomeException Source # fromException :: SomeException -> Maybe Timeout Source # displayException :: Timeout -> String Source # backtraceDesired :: Timeout -> Bool Source # | |
| Exception SizeOverflowException | |
Defined in Data.ByteString.Internal.Type | |
| Exception Void | Since: base-4.8.0.0 |
Defined in GHC.Internal.Exception.Type Methods toException :: Void -> SomeException Source # fromException :: SomeException -> Maybe Void Source # displayException :: Void -> String Source # backtraceDesired :: Void -> Bool Source # | |
| Exception ArithException | Since: base-4.0.0.0 |
Defined in GHC.Internal.Exception.Type Methods toException :: ArithException -> SomeException Source # fromException :: SomeException -> Maybe ArithException Source # | |
| Exception SomeException | This drops any attached Since: base-3.0 |
Defined in GHC.Internal.Exception.Type Methods toException :: SomeException -> SomeException Source # fromException :: SomeException -> Maybe SomeException Source # displayException :: SomeException -> String Source # backtraceDesired :: SomeException -> Bool Source # | |
| Exception AllocationLimitExceeded | Since: base-4.8.0.0 |
Defined in GHC.Internal.IO.Exception | |
| Exception ArrayException | Since: base-4.1.0.0 |
Defined in GHC.Internal.IO.Exception Methods toException :: ArrayException -> SomeException Source # fromException :: SomeException -> Maybe ArrayException Source # | |
| Exception AssertionFailed | Since: base-4.1.0.0 |
Defined in GHC.Internal.IO.Exception Methods toException :: AssertionFailed -> SomeException Source # fromException :: SomeException -> Maybe AssertionFailed Source # | |
| Exception AsyncException | Since: base-4.7.0.0 |
Defined in GHC.Internal.IO.Exception Methods toException :: AsyncException -> SomeException Source # fromException :: SomeException -> Maybe AsyncException Source # | |
| Exception BlockedIndefinitelyOnMVar | Since: base-4.1.0.0 |
Defined in GHC.Internal.IO.Exception | |
| Exception BlockedIndefinitelyOnSTM | Since: base-4.1.0.0 |
Defined in GHC.Internal.IO.Exception | |
| Exception CompactionFailed | Since: base-4.10.0.0 |
Defined in GHC.Internal.IO.Exception Methods toException :: CompactionFailed -> SomeException Source # fromException :: SomeException -> Maybe CompactionFailed Source # | |
| Exception Deadlock | Since: base-4.1.0.0 |
Defined in GHC.Internal.IO.Exception Methods toException :: Deadlock -> SomeException Source # fromException :: SomeException -> Maybe Deadlock Source # displayException :: Deadlock -> String Source # backtraceDesired :: Deadlock -> Bool Source # | |
| Exception ExitCode | Since: base-4.1.0.0 |
Defined in GHC.Internal.IO.Exception Methods toException :: ExitCode -> SomeException Source # fromException :: SomeException -> Maybe ExitCode Source # displayException :: ExitCode -> String Source # backtraceDesired :: ExitCode -> Bool Source # | |
| Exception FixIOException | Since: base-4.11.0.0 |
Defined in GHC.Internal.IO.Exception Methods toException :: FixIOException -> SomeException Source # fromException :: SomeException -> Maybe FixIOException Source # | |
| Exception IOException | Since: base-4.1.0.0 |
Defined in GHC.Internal.IO.Exception Methods toException :: IOException -> SomeException Source # fromException :: SomeException -> Maybe IOException Source # displayException :: IOException -> String Source # backtraceDesired :: IOException -> Bool Source # | |
| Exception SomeAsyncException | Since: base-4.7.0.0 |
Defined in GHC.Internal.IO.Exception | |
| Exception UnicodeException | |
Defined in Data.Text.Encoding.Error Methods toException :: UnicodeException -> SomeException Source # fromException :: SomeException -> Maybe UnicodeException Source # | |
| Exception a => Exception (ExceptionWithContext a) | |
Defined in GHC.Internal.Exception.Type Methods toException :: ExceptionWithContext a -> SomeException Source # fromException :: SomeException -> Maybe (ExceptionWithContext a) Source # displayException :: ExceptionWithContext a -> String Source # backtraceDesired :: ExceptionWithContext a -> Bool Source # | |
| Exception e => Exception (NoBacktrace e) | |
Defined in GHC.Internal.Exception.Type Methods toException :: NoBacktrace e -> SomeException Source # fromException :: SomeException -> Maybe (NoBacktrace e) Source # displayException :: NoBacktrace e -> String Source # backtraceDesired :: NoBacktrace e -> Bool Source # | |
class Typeable (a :: k) Source #
The class Typeable allows a concrete representation of a type to
be calculated.
Minimal complete definition
typeRep#
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 | This drops any attached Since: base-3.0 |
Defined in GHC.Internal.Exception.Type Methods toException :: SomeException -> SomeException Source # fromException :: SomeException -> Maybe SomeException Source # displayException :: SomeException -> String Source # backtraceDesired :: SomeException -> Bool Source # | |
| Show SomeException | Since: ghc-internal-3.0 |
Defined in GHC.Internal.Exception.Type | |
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.Internal.IO.Exception Methods toException :: IOException -> SomeException Source # fromException :: SomeException -> Maybe IOException Source # displayException :: IOException -> String Source # backtraceDesired :: IOException -> Bool Source # | |
| Show IOException | Since: base-4.1.0.0 |
Defined in GHC.Internal.IO.Exception | |
| Eq IOException | Since: base-4.1.0.0 |
Defined in GHC.Internal.IO.Exception Methods (==) :: IOException -> IOException -> Bool Source # (/=) :: IOException -> IOException -> Bool Source # | |
module System.IO.Error
Files
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.
(</>) :: 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"
(<.>) :: 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"
Strings
String is an alias for a list of characters.
String constants in Haskell are values of type String.
That means if you write a string literal like "hello world",
it will have the type [Char], which is the same as String.
Note: You can ask the compiler to automatically infer different types
with the -XOverloadedStrings language extension, for example
"hello world" :: Text. See IsString for more information.
Because String is just a list of characters, you can use normal list functions
to do basic string manipulation. See Data.List for operations on lists.
Performance considerations
[Char] is a relatively memory-inefficient type.
It is a linked list of boxed word-size characters, internally it looks something like:
╭─────┬───┬──╮ ╭─────┬───┬──╮ ╭─────┬───┬──╮ ╭────╮
│ (:) │ │ ─┼─>│ (:) │ │ ─┼─>│ (:) │ │ ─┼─>│ [] │
╰─────┴─┼─┴──╯ ╰─────┴─┼─┴──╯ ╰─────┴─┼─┴──╯ ╰────╯
v v v
'a' 'b' 'c'The String "abc" will use 5*3+1 = 16 (in general 5n+1)
words of space in memory.
Furthermore, operations like (++) (string concatenation) are O(n)
(in the left argument).
For historical reasons, the base library uses String in a lot of places
for the conceptual simplicity, but library code dealing with user-data
should use the text
package for Unicode text, or the the
bytestring package
for binary data.
Hashing
hash :: Hashable a => a -> Int Source #
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.
hashWithSalt :: Hashable a => 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.