CorePrelude

basic-prelude-0.7.0: An enhanced core prelude; a common foundation for alternate preludes.

Safe Haskell | None
Language | Haskell2010

CorePrelude

Contents

- Standard
  - Operators
  - Functions
  - Type classes
  - Numeric type classes
  - Data types
- Re-exports
  - Packed reps
  - Containers
  - Numbers
  - Numeric functions
  - Monoids
  - Folds and traversals
  - arrow
  - Bool
  - Maybe
  - Either
  - Ord
  - Applicative
  - Monad
  - Transformers
  - Exceptions
  - Files
  - Strings
  - Hashing

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
  - compare :: a -> a -> Ordering
  - (<) :: a -> a -> Bool
  - (<=) :: a -> a -> Bool
  - (>) :: a -> a -> Bool
  - (>=) :: a -> a -> Bool
  - max :: a -> a -> a
  - min :: a -> a -> a
- class Eq a where
  - (==) :: a -> a -> Bool
  - (/=) :: a -> a -> Bool
- class Bounded a where
  - minBound :: a
  - maxBound :: a
- class Enum a where
  - succ :: a -> a
  - pred :: a -> a
  - toEnum :: Int -> a
  - fromEnum :: a -> Int
  - enumFrom :: a -> [a]
  - enumFromThen :: a -> a -> [a]
  - enumFromTo :: a -> a -> [a]
  - enumFromThenTo :: a -> a -> a -> [a]
- class Show a
- class Read a
- class Functor (f :: Type -> Type) where
  - fmap :: (a -> b) -> f a -> f b
  - (<$) :: a -> f b -> f a
- class Applicative m => Monad (m :: Type -> Type) where
  - (>>=) :: m a -> (a -> m b) -> m b
  - (>>) :: m a -> m b -> m b
  - return :: a -> m a
- (=<<) :: Monad m => (a -> m b) -> m a -> m b
- class IsString a where
  - fromString :: String -> a
- class Num a where
  - (+) :: a -> a -> a
  - (-) :: a -> a -> a
  - (*) :: a -> a -> a
  - negate :: a -> a
  - abs :: a -> a
  - signum :: a -> a
  - fromInteger :: Integer -> a
- class (Num a, Ord a) => Real a where
  - toRational :: a -> Rational
- class (Real a, Enum a) => Integral a where
  - quot :: a -> a -> a
  - rem :: a -> a -> a
  - div :: a -> a -> a
  - mod :: a -> a -> a
  - quotRem :: a -> a -> (a, a)
  - divMod :: a -> a -> (a, a)
  - toInteger :: a -> Integer
- class Num a => Fractional a where
  - (/) :: a -> a -> a
  - recip :: a -> a
  - fromRational :: Rational -> a
- class Fractional a => Floating a where
  - pi :: a
  - exp :: a -> a
  - log :: a -> a
  - sqrt :: a -> a
  - (**) :: a -> a -> a
  - logBase :: a -> a -> a
  - sin :: a -> a
  - cos :: a -> a
  - tan :: a -> a
  - asin :: a -> a
  - acos :: a -> a
  - atan :: a -> a
  - sinh :: a -> a
  - cosh :: a -> a
  - tanh :: a -> a
  - asinh :: a -> a
  - acosh :: a -> a
  - atanh :: a -> a
- class (Real a, Fractional a) => RealFrac a where
  - properFraction :: Integral b => a -> (b, a)
  - truncate :: Integral b => a -> b
  - round :: Integral b => a -> b
  - ceiling :: Integral b => a -> b
  - floor :: Integral b => a -> b
- class (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
  - = Nothing
  - | Just a
- data Ordering
  - = LT
  - | EQ
  - | GT
- data Bool
  - = False
  - | True
- data Char
- data IO a
- data Either a b
  - = Left a
  - | Right 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
  - mempty :: a
  - mappend :: a -> a -> a
  - mconcat :: [a] -> a
- (<>) :: 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
  - pure :: a -> f a
  - (<*>) :: f (a -> b) -> f a -> f b
  - liftA2 :: (a -> b -> c) -> f a -> f b -> f c
  - (*>) :: f a -> f b -> f b
  - (<*) :: f a -> f b -> f a
- (<$>) :: 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 #

``($)`` 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 ``id`` specialized from `a -> 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

Expand

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 -> Int
    strSum s = sum (mapMaybe readMaybe (words s))

we can deploy the function application operator:

    -- | Sum numbers in a string: strSum "100  5 -7" == 98
    strSum :: String -> Int
    strSum s = sum $ mapMaybe readMaybe $ words s

`($)` 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)

Expand

`($)` 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 #

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.

(&&) :: Bool -> Bool -> Bool infixr 3 #

Boolean "and", lazy in the second argument

(||) :: Bool -> Bool -> Bool infixr 2 #

Boolean "or", lazy in the second argument

(.) :: forall (b :: k) (c :: k) (a :: k). Category cat => cat b c -> cat a b -> cat a c infixr 9 #

morphism composition

## Functions

not :: Bool -> Bool #

Boolean "not"

otherwise :: Bool #

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

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

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

Extract the first component of a pair.

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

Extract the second component of a pair.

id :: forall (a :: k). Category cat => cat a a #

the identity morphism

maybe :: b -> (a -> b) -> Maybe a -> b #

The `maybe` function takes a default value, a function, and a `Maybe` value. If the `Maybe` value is `Nothing`, the function returns the default value. Otherwise, it applies the function to the value inside the `Just` and returns the result.

#### Examples

Expand

Basic usage:

    >>> maybe False odd (Just 3)
    True

    >>> maybe False odd Nothing
    False

Read an integer from a string using `readMaybe`. If we succeed, return twice the integer; that is, apply `(*2)` to it. If instead we fail to parse an integer, return `0` by default:

    >>> import 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 #

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

#### Examples

Expand

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

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

flip :: (a -> b -> c) -> b -> a -> c #

``flip` f` takes its (first) two arguments in the reverse order of `f`.

    flip f x y = f y x

    flip . flip = id

#### Examples

Expand

    >>> flip (++) "hello" "world"
    "worldhello"

    >>> let (.>) = flip (.) in (+1) .> show $ 5
    "6"

const :: a -> b -> a #

`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

Expand

    >>> const 42 "hello"
    42

    >>> map (const 42) [0..3]
    [42,42,42,42]

error :: HasCallStack => [Char] -> a #

`error` stops execution and displays an error message.

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 #

`error` applied to `Text`

Since 0.4.1

odd :: Integral a => a -> Bool #

even :: Integral a => a -> Bool #

uncurry :: (a -> b -> c) -> (a, b) -> c #

`uncurry` converts a curried function to a function on pairs.

#### Examples

Expand

    >>> uncurry (+) (1,2)
    3

    >>> uncurry ($) (show, 1)
    "1"

    >>> map (uncurry max) [(1,2), (3,4), (6,8)]
    [2,4,8]

curry :: ((a, b) -> c) -> a -> b -> c #

Convert an uncurried function to a curried function.

#### Examples

Expand

    >>> curry fst 1 2
    1

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

Swap the components of a pair.

until :: (a -> Bool) -> (a -> a) -> a -> a #

``until` p f` yields the result of applying `f` until `p` holds.

asTypeOf :: a -> a -> a #

`asTypeOf` is a type-restricted version of `const`. It is usually used as an infix operator, and its typing forces its first argument (which is usually overloaded) to have the same type as the second.

undefined :: HasCallStack => a #

A special case of `error`. It is expected that compilers will recognize this and insert error messages which are more appropriate to the context in which `undefined` appears.

seq :: a -> b -> b infixr 0 #

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

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

## Type classes

class Eq a => Ord a where #

The `Ord` class is used for totally ordered datatypes.

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

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

The following operator interactions are expected to hold:

1. `x >= y` = `y <= x`
2. `x < y` = `x <= y && x /= y`
3. `x > y` = `y < x`
4. `x < y` = `compare x y == LT`
5. `x > y` = `compare x y == GT`
6. `x == y` = `compare x y == EQ`
7. `min x y == if x <= y then x else y` = `True`
8. `max 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.

Minimal complete definition

compare | (<=)

Methods

compare :: a -> a -> Ordering #

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

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

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

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

max :: a -> a -> a #

min :: a -> a -> a #

#### Instances

Instances details

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
Instance details Defined in Data.Array.Byte Methods compare :: ByteArray -> ByteArray -> Ordering # (<) :: ByteArray -> ByteArray -> Bool # (<=) :: ByteArray -> ByteArray -> Bool # (>) :: ByteArray -> ByteArray -> Bool # (>=) :: ByteArray -> ByteArray -> Bool # max :: ByteArray -> ByteArray -> ByteArray # min :: ByteArray -> ByteArray -> ByteArray #
Ord ByteString |
Instance details Defined in Data.ByteString.Internal.Type Methods compare :: ByteString -> ByteString -> Ordering # (<) :: ByteString -> ByteString -> Bool # (<=) :: ByteString -> ByteString -> Bool # (>) :: ByteString -> ByteString -> Bool # (>=) :: ByteString -> ByteString -> Bool # max :: ByteString -> ByteString -> ByteString # min :: ByteString -> ByteString -> ByteString #
Ord ByteString |
Instance details Defined in Data.ByteString.Lazy.Internal Methods compare :: ByteString -> ByteString -> Ordering # (<) :: ByteString -> ByteString -> Bool # (<=) :: ByteString -> ByteString -> Bool # (>) :: ByteString -> ByteString -> Bool # (>=) :: ByteString -> ByteString -> Bool # max :: ByteString -> ByteString -> ByteString # min :: ByteString -> ByteString -> ByteString #
Ord ShortByteString | Lexicographic order.
Instance details Defined in Data.ByteString.Short.Internal Methods compare :: ShortByteString -> ShortByteString -> Ordering # (<) :: ShortByteString -> ShortByteString -> Bool # (<=) :: ShortByteString -> ShortByteString -> Bool # (>) :: ShortByteString -> ShortByteString -> Bool # (>=) :: ShortByteString -> ShortByteString -> Bool # max :: ShortByteString -> ShortByteString -> ShortByteString # min :: ShortByteString -> ShortByteString -> ShortByteString #
Ord IntSet |
Instance details Defined in Data.IntSet.Internal Methods compare :: IntSet -> IntSet -> Ordering # (<) :: IntSet -> IntSet -> Bool # (<=) :: IntSet -> IntSet -> Bool # (>) :: IntSet -> IntSet -> Bool # (>=) :: IntSet -> IntSet -> Bool # max :: IntSet -> IntSet -> IntSet # min :: IntSet -> IntSet -> IntSet #
Ord BigNat |
Instance details Defined in GHC.Num.BigNat Methods compare :: BigNat -> BigNat -> Ordering # (<) :: BigNat -> BigNat -> Bool # (<=) :: BigNat -> BigNat -> Bool # (>) :: BigNat -> BigNat -> Bool # (>=) :: BigNat -> BigNat -> Bool # max :: BigNat -> BigNat -> BigNat # min :: BigNat -> BigNat -> BigNat #
Ord Void | @since base-4.8.0.0
Instance details Defined in GHC.Internal.Base Methods compare :: Void -> Void -> Ordering # (<) :: Void -> Void -> Bool # (<=) :: Void -> Void -> Bool # (>) :: Void -> Void -> Bool # (>=) :: Void -> Void -> Bool # max :: Void -> Void -> Void # min :: Void -> Void -> Void #
Ord SomeTypeRep |
Instance details Defined in GHC.Internal.Data.Typeable.Internal Methods compare :: SomeTypeRep -> SomeTypeRep -> Ordering # (<) :: SomeTypeRep -> SomeTypeRep -> Bool # (<=) :: SomeTypeRep -> SomeTypeRep -> Bool # (>) :: SomeTypeRep -> SomeTypeRep -> Bool # (>=) :: SomeTypeRep -> SomeTypeRep -> Bool # max :: SomeTypeRep -> SomeTypeRep -> SomeTypeRep # min :: SomeTypeRep -> SomeTypeRep -> SomeTypeRep #
Ord Version | @since base-2.01
Instance details Defined in GHC.Internal.Data.Version Methods compare :: Version -> Version -> Ordering # (<) :: Version -> Version -> Bool # (<=) :: Version -> Version -> Bool # (>) :: Version -> Version -> Bool # (>=) :: Version -> Version -> Bool # max :: Version -> Version -> Version # min :: Version -> Version -> Version #
Ord ArithException | @since base-3.0
Instance details Defined in GHC.Internal.Exception.Type Methods compare :: ArithException -> ArithException -> Ordering # (<) :: ArithException -> ArithException -> Bool # (<=) :: ArithException -> ArithException -> Bool # (>) :: ArithException -> ArithException -> Bool # (>=) :: ArithException -> ArithException -> Bool # max :: ArithException -> ArithException -> ArithException # min :: ArithException -> ArithException -> ArithException #
Ord CBool |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CBool -> CBool -> Ordering # (<) :: CBool -> CBool -> Bool # (<=) :: CBool -> CBool -> Bool # (>) :: CBool -> CBool -> Bool # (>=) :: CBool -> CBool -> Bool # max :: CBool -> CBool -> CBool # min :: CBool -> CBool -> CBool #
Ord CChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CChar -> CChar -> Ordering # (<) :: CChar -> CChar -> Bool # (<=) :: CChar -> CChar -> Bool # (>) :: CChar -> CChar -> Bool # (>=) :: CChar -> CChar -> Bool # max :: CChar -> CChar -> CChar # min :: CChar -> CChar -> CChar #
Ord CClock |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CClock -> CClock -> Ordering # (<) :: CClock -> CClock -> Bool # (<=) :: CClock -> CClock -> Bool # (>) :: CClock -> CClock -> Bool # (>=) :: CClock -> CClock -> Bool # max :: CClock -> CClock -> CClock # min :: CClock -> CClock -> CClock #
Ord CDouble |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CDouble -> CDouble -> Ordering # (<) :: CDouble -> CDouble -> Bool # (<=) :: CDouble -> CDouble -> Bool # (>) :: CDouble -> CDouble -> Bool # (>=) :: CDouble -> CDouble -> Bool # max :: CDouble -> CDouble -> CDouble # min :: CDouble -> CDouble -> CDouble #
Ord CFloat |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CFloat -> CFloat -> Ordering # (<) :: CFloat -> CFloat -> Bool # (<=) :: CFloat -> CFloat -> Bool # (>) :: CFloat -> CFloat -> Bool # (>=) :: CFloat -> CFloat -> Bool # max :: CFloat -> CFloat -> CFloat # min :: CFloat -> CFloat -> CFloat #
Ord CInt |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CInt -> CInt -> Ordering # (<) :: CInt -> CInt -> Bool # (<=) :: CInt -> CInt -> Bool # (>) :: CInt -> CInt -> Bool # (>=) :: CInt -> CInt -> Bool # max :: CInt -> CInt -> CInt # min :: CInt -> CInt -> CInt #
Ord CIntMax |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CIntMax -> CIntMax -> Ordering # (<) :: CIntMax -> CIntMax -> Bool # (<=) :: CIntMax -> CIntMax -> Bool # (>) :: CIntMax -> CIntMax -> Bool # (>=) :: CIntMax -> CIntMax -> Bool # max :: CIntMax -> CIntMax -> CIntMax # min :: CIntMax -> CIntMax -> CIntMax #
Ord CIntPtr |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CIntPtr -> CIntPtr -> Ordering # (<) :: CIntPtr -> CIntPtr -> Bool # (<=) :: CIntPtr -> CIntPtr -> Bool # (>) :: CIntPtr -> CIntPtr -> Bool # (>=) :: CIntPtr -> CIntPtr -> Bool # max :: CIntPtr -> CIntPtr -> CIntPtr # min :: CIntPtr -> CIntPtr -> CIntPtr #
Ord CLLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CLLong -> CLLong -> Ordering # (<) :: CLLong -> CLLong -> Bool # (<=) :: CLLong -> CLLong -> Bool # (>) :: CLLong -> CLLong -> Bool # (>=) :: CLLong -> CLLong -> Bool # max :: CLLong -> CLLong -> CLLong # min :: CLLong -> CLLong -> CLLong #
Ord CLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CLong -> CLong -> Ordering # (<) :: CLong -> CLong -> Bool # (<=) :: CLong -> CLong -> Bool # (>) :: CLong -> CLong -> Bool # (>=) :: CLong -> CLong -> Bool # max :: CLong -> CLong -> CLong # min :: CLong -> CLong -> CLong #
Ord CPtrdiff |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CPtrdiff -> CPtrdiff -> Ordering # (<) :: CPtrdiff -> CPtrdiff -> Bool # (<=) :: CPtrdiff -> CPtrdiff -> Bool # (>) :: CPtrdiff -> CPtrdiff -> Bool # (>=) :: CPtrdiff -> CPtrdiff -> Bool # max :: CPtrdiff -> CPtrdiff -> CPtrdiff # min :: CPtrdiff -> CPtrdiff -> CPtrdiff #
Ord CSChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CSChar -> CSChar -> Ordering # (<) :: CSChar -> CSChar -> Bool # (<=) :: CSChar -> CSChar -> Bool # (>) :: CSChar -> CSChar -> Bool # (>=) :: CSChar -> CSChar -> Bool # max :: CSChar -> CSChar -> CSChar # min :: CSChar -> CSChar -> CSChar #
Ord CSUSeconds |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CSUSeconds -> CSUSeconds -> Ordering # (<) :: CSUSeconds -> CSUSeconds -> Bool # (<=) :: CSUSeconds -> CSUSeconds -> Bool # (>) :: CSUSeconds -> CSUSeconds -> Bool # (>=) :: CSUSeconds -> CSUSeconds -> Bool # max :: CSUSeconds -> CSUSeconds -> CSUSeconds # min :: CSUSeconds -> CSUSeconds -> CSUSeconds #
Ord CShort |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CShort -> CShort -> Ordering # (<) :: CShort -> CShort -> Bool # (<=) :: CShort -> CShort -> Bool # (>) :: CShort -> CShort -> Bool # (>=) :: CShort -> CShort -> Bool # max :: CShort -> CShort -> CShort # min :: CShort -> CShort -> CShort #
Ord CSigAtomic |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CSigAtomic -> CSigAtomic -> Ordering # (<) :: CSigAtomic -> CSigAtomic -> Bool # (<=) :: CSigAtomic -> CSigAtomic -> Bool # (>) :: CSigAtomic -> CSigAtomic -> Bool # (>=) :: CSigAtomic -> CSigAtomic -> Bool # max :: CSigAtomic -> CSigAtomic -> CSigAtomic # min :: CSigAtomic -> CSigAtomic -> CSigAtomic #
Ord CSize |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CSize -> CSize -> Ordering # (<) :: CSize -> CSize -> Bool # (<=) :: CSize -> CSize -> Bool # (>) :: CSize -> CSize -> Bool # (>=) :: CSize -> CSize -> Bool # max :: CSize -> CSize -> CSize # min :: CSize -> CSize -> CSize #
Ord CTime |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CTime -> CTime -> Ordering # (<) :: CTime -> CTime -> Bool # (<=) :: CTime -> CTime -> Bool # (>) :: CTime -> CTime -> Bool # (>=) :: CTime -> CTime -> Bool # max :: CTime -> CTime -> CTime # min :: CTime -> CTime -> CTime #
Ord CUChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CUChar -> CUChar -> Ordering # (<) :: CUChar -> CUChar -> Bool # (<=) :: CUChar -> CUChar -> Bool # (>) :: CUChar -> CUChar -> Bool # (>=) :: CUChar -> CUChar -> Bool # max :: CUChar -> CUChar -> CUChar # min :: CUChar -> CUChar -> CUChar #
Ord CUInt |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CUInt -> CUInt -> Ordering # (<) :: CUInt -> CUInt -> Bool # (<=) :: CUInt -> CUInt -> Bool # (>) :: CUInt -> CUInt -> Bool # (>=) :: CUInt -> CUInt -> Bool # max :: CUInt -> CUInt -> CUInt # min :: CUInt -> CUInt -> CUInt #
Ord CUIntMax |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CUIntMax -> CUIntMax -> Ordering # (<) :: CUIntMax -> CUIntMax -> Bool # (<=) :: CUIntMax -> CUIntMax -> Bool # (>) :: CUIntMax -> CUIntMax -> Bool # (>=) :: CUIntMax -> CUIntMax -> Bool # max :: CUIntMax -> CUIntMax -> CUIntMax # min :: CUIntMax -> CUIntMax -> CUIntMax #
Ord CUIntPtr |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CUIntPtr -> CUIntPtr -> Ordering # (<) :: CUIntPtr -> CUIntPtr -> Bool # (<=) :: CUIntPtr -> CUIntPtr -> Bool # (>) :: CUIntPtr -> CUIntPtr -> Bool # (>=) :: CUIntPtr -> CUIntPtr -> Bool # max :: CUIntPtr -> CUIntPtr -> CUIntPtr # min :: CUIntPtr -> CUIntPtr -> CUIntPtr #
Ord CULLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CULLong -> CULLong -> Ordering # (<) :: CULLong -> CULLong -> Bool # (<=) :: CULLong -> CULLong -> Bool # (>) :: CULLong -> CULLong -> Bool # (>=) :: CULLong -> CULLong -> Bool # max :: CULLong -> CULLong -> CULLong # min :: CULLong -> CULLong -> CULLong #
Ord CULong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CULong -> CULong -> Ordering # (<) :: CULong -> CULong -> Bool # (<=) :: CULong -> CULong -> Bool # (>) :: CULong -> CULong -> Bool # (>=) :: CULong -> CULong -> Bool # max :: CULong -> CULong -> CULong # min :: CULong -> CULong -> CULong #
Ord CUSeconds |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CUSeconds -> CUSeconds -> Ordering # (<) :: CUSeconds -> CUSeconds -> Bool # (<=) :: CUSeconds -> CUSeconds -> Bool # (>) :: CUSeconds -> CUSeconds -> Bool # (>=) :: CUSeconds -> CUSeconds -> Bool # max :: CUSeconds -> CUSeconds -> CUSeconds # min :: CUSeconds -> CUSeconds -> CUSeconds #
Ord CUShort |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CUShort -> CUShort -> Ordering # (<) :: CUShort -> CUShort -> Bool # (<=) :: CUShort -> CUShort -> Bool # (>) :: CUShort -> CUShort -> Bool # (>=) :: CUShort -> CUShort -> Bool # max :: CUShort -> CUShort -> CUShort # min :: CUShort -> CUShort -> CUShort #
Ord CWchar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CWchar -> CWchar -> Ordering # (<) :: CWchar -> CWchar -> Bool # (<=) :: CWchar -> CWchar -> Bool # (>) :: CWchar -> CWchar -> Bool # (>=) :: CWchar -> CWchar -> Bool # max :: CWchar -> CWchar -> CWchar # min :: CWchar -> CWchar -> CWchar #
Ord Associativity | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: Associativity -> Associativity -> Ordering # (<) :: Associativity -> Associativity -> Bool # (<=) :: Associativity -> Associativity -> Bool # (>) :: Associativity -> Associativity -> Bool # (>=) :: Associativity -> Associativity -> Bool # max :: Associativity -> Associativity -> Associativity # min :: Associativity -> Associativity -> Associativity #
Ord DecidedStrictness | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: DecidedStrictness -> DecidedStrictness -> Ordering # (<) :: DecidedStrictness -> DecidedStrictness -> Bool # (<=) :: DecidedStrictness -> DecidedStrictness -> Bool # (>) :: DecidedStrictness -> DecidedStrictness -> Bool # (>=) :: DecidedStrictness -> DecidedStrictness -> Bool # max :: DecidedStrictness -> DecidedStrictness -> DecidedStrictness # min :: DecidedStrictness -> DecidedStrictness -> DecidedStrictness #
Ord Fixity | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: Fixity -> Fixity -> Ordering # (<) :: Fixity -> Fixity -> Bool # (<=) :: Fixity -> Fixity -> Bool # (>) :: Fixity -> Fixity -> Bool # (>=) :: Fixity -> Fixity -> Bool # max :: Fixity -> Fixity -> Fixity # min :: Fixity -> Fixity -> Fixity #
Ord SourceStrictness | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: SourceStrictness -> SourceStrictness -> Ordering # (<) :: SourceStrictness -> SourceStrictness -> Bool # (<=) :: SourceStrictness -> SourceStrictness -> Bool # (>) :: SourceStrictness -> SourceStrictness -> Bool # (>=) :: SourceStrictness -> SourceStrictness -> Bool # max :: SourceStrictness -> SourceStrictness -> SourceStrictness # min :: SourceStrictness -> SourceStrictness -> SourceStrictness #
Ord SourceUnpackedness | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: SourceUnpackedness -> SourceUnpackedness -> Ordering # (<) :: SourceUnpackedness -> SourceUnpackedness -> Bool # (<=) :: SourceUnpackedness -> SourceUnpackedness -> Bool # (>) :: SourceUnpackedness -> SourceUnpackedness -> Bool # (>=) :: SourceUnpackedness -> SourceUnpackedness -> Bool # max :: SourceUnpackedness -> SourceUnpackedness -> SourceUnpackedness # min :: SourceUnpackedness -> SourceUnpackedness -> SourceUnpackedness #
Ord ArrayException | @since base-4.2.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods compare :: ArrayException -> ArrayException -> Ordering # (<) :: ArrayException -> ArrayException -> Bool # (<=) :: ArrayException -> ArrayException -> Bool # (>) :: ArrayException -> ArrayException -> Bool # (>=) :: ArrayException -> ArrayException -> Bool # max :: ArrayException -> ArrayException -> ArrayException # min :: ArrayException -> ArrayException -> ArrayException #
Ord AsyncException | @since base-4.2.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods compare :: AsyncException -> AsyncException -> Ordering # (<) :: AsyncException -> AsyncException -> Bool # (<=) :: AsyncException -> AsyncException -> Bool # (>) :: AsyncException -> AsyncException -> Bool # (>=) :: AsyncException -> AsyncException -> Bool # max :: AsyncException -> AsyncException -> AsyncException # min :: AsyncException -> AsyncException -> AsyncException #
Ord ExitCode |
Instance details Defined in GHC.Internal.IO.Exception Methods compare :: ExitCode -> ExitCode -> Ordering # (<) :: ExitCode -> ExitCode -> Bool # (<=) :: ExitCode -> ExitCode -> Bool # (>) :: ExitCode -> ExitCode -> Bool # (>=) :: ExitCode -> ExitCode -> Bool # max :: ExitCode -> ExitCode -> ExitCode # min :: ExitCode -> ExitCode -> ExitCode #
Ord BufferMode | @since base-4.2.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods compare :: BufferMode -> BufferMode -> Ordering # (<) :: BufferMode -> BufferMode -> Bool # (<=) :: BufferMode -> BufferMode -> Bool # (>) :: BufferMode -> BufferMode -> Bool # (>=) :: BufferMode -> BufferMode -> Bool # max :: BufferMode -> BufferMode -> BufferMode # min :: BufferMode -> BufferMode -> BufferMode #
Ord Newline | @since base-4.3.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods compare :: Newline -> Newline -> Ordering # (<) :: Newline -> Newline -> Bool # (<=) :: Newline -> Newline -> Bool # (>) :: Newline -> Newline -> Bool # (>=) :: Newline -> Newline -> Bool # max :: Newline -> Newline -> Newline # min :: Newline -> Newline -> Newline #
Ord NewlineMode | @since base-4.3.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods compare :: NewlineMode -> NewlineMode -> Ordering # (<) :: NewlineMode -> NewlineMode -> Bool # (<=) :: NewlineMode -> NewlineMode -> Bool # (>) :: NewlineMode -> NewlineMode -> Bool # (>=) :: NewlineMode -> NewlineMode -> Bool # max :: NewlineMode -> NewlineMode -> NewlineMode # min :: NewlineMode -> NewlineMode -> NewlineMode #
Ord Int16 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods compare :: Int16 -> Int16 -> Ordering # (<) :: Int16 -> Int16 -> Bool # (<=) :: Int16 -> Int16 -> Bool # (>) :: Int16 -> Int16 -> Bool # (>=) :: Int16 -> Int16 -> Bool # max :: Int16 -> Int16 -> Int16 # min :: Int16 -> Int16 -> Int16 #
Ord Int32 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods compare :: Int32 -> Int32 -> Ordering # (<) :: Int32 -> Int32 -> Bool # (<=) :: Int32 -> Int32 -> Bool # (>) :: Int32 -> Int32 -> Bool # (>=) :: Int32 -> Int32 -> Bool # max :: Int32 -> Int32 -> Int32 # min :: Int32 -> Int32 -> Int32 #
Ord Int64 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods compare :: Int64 -> Int64 -> Ordering # (<) :: Int64 -> Int64 -> Bool # (<=) :: Int64 -> Int64 -> Bool # (>) :: Int64 -> Int64 -> Bool # (>=) :: Int64 -> Int64 -> Bool # max :: Int64 -> Int64 -> Int64 # min :: Int64 -> Int64 -> Int64 #
Ord Int8 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods compare :: Int8 -> Int8 -> Ordering # (<) :: Int8 -> Int8 -> Bool # (<=) :: Int8 -> Int8 -> Bool # (>) :: Int8 -> Int8 -> Bool # (>=) :: Int8 -> Int8 -> Bool # max :: Int8 -> Int8 -> Int8 # min :: Int8 -> Int8 -> Int8 #
Ord Word16 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods compare :: Word16 -> Word16 -> Ordering # (<) :: Word16 -> Word16 -> Bool # (<=) :: Word16 -> Word16 -> Bool # (>) :: Word16 -> Word16 -> Bool # (>=) :: Word16 -> Word16 -> Bool # max :: Word16 -> Word16 -> Word16 # min :: Word16 -> Word16 -> Word16 #
Ord Word32 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods compare :: Word32 -> Word32 -> Ordering # (<) :: Word32 -> Word32 -> Bool # (<=) :: Word32 -> Word32 -> Bool # (>) :: Word32 -> Word32 -> Bool # (>=) :: Word32 -> Word32 -> Bool # max :: Word32 -> Word32 -> Word32 # min :: Word32 -> Word32 -> Word32 #
Ord Word64 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods compare :: Word64 -> Word64 -> Ordering # (<) :: Word64 -> Word64 -> Bool # (<=) :: Word64 -> Word64 -> Bool # (>) :: Word64 -> Word64 -> Bool # (>=) :: Word64 -> Word64 -> Bool # max :: Word64 -> Word64 -> Word64 # min :: Word64 -> Word64 -> Word64 #
Ord Word8 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods compare :: Word8 -> Word8 -> Ordering # (<) :: Word8 -> Word8 -> Bool # (<=) :: Word8 -> Word8 -> Bool # (>) :: Word8 -> Word8 -> Bool # (>=) :: Word8 -> Word8 -> Bool # max :: Word8 -> Word8 -> Word8 # min :: Word8 -> Word8 -> Word8 #
Ord Ordering |
Instance details Defined in GHC.Classes Methods compare :: Ordering -> Ordering -> Ordering # (<) :: Ordering -> Ordering -> Bool # (<=) :: Ordering -> Ordering -> Bool # (>) :: Ordering -> Ordering -> Bool # (>=) :: Ordering -> Ordering -> Bool # max :: Ordering -> Ordering -> Ordering # min :: Ordering -> Ordering -> Ordering #
Ord TyCon |
Instance details Defined in GHC.Classes Methods compare :: TyCon -> TyCon -> Ordering # (<) :: TyCon -> TyCon -> Bool # (<=) :: TyCon -> TyCon -> Bool # (>) :: TyCon -> TyCon -> Bool # (>=) :: TyCon -> TyCon -> Bool # max :: TyCon -> TyCon -> TyCon # min :: TyCon -> TyCon -> TyCon #
Ord OsChar | Byte ordering of the internal representation.
Instance details Defined in System.OsString.Internal.Types Methods compare :: OsChar -> OsChar -> Ordering # (<) :: OsChar -> OsChar -> Bool # (<=) :: OsChar -> OsChar -> Bool # (>) :: OsChar -> OsChar -> Bool # (>=) :: OsChar -> OsChar -> Bool # max :: OsChar -> OsChar -> OsChar # min :: OsChar -> OsChar -> OsChar #
Ord OsString | Byte ordering of the internal representation.
Instance details Defined in System.OsString.Internal.Types Methods compare :: OsString -> OsString -> Ordering # (<) :: OsString -> OsString -> Bool # (<=) :: OsString -> OsString -> Bool # (>) :: OsString -> OsString -> Bool # (>=) :: OsString -> OsString -> Bool # max :: OsString -> OsString -> OsString # min :: OsString -> OsString -> OsString #
Ord PosixChar |
Instance details Defined in System.OsString.Internal.Types Methods compare :: PosixChar -> PosixChar -> Ordering # (<) :: PosixChar -> PosixChar -> Bool # (<=) :: PosixChar -> PosixChar -> Bool # (>) :: PosixChar -> PosixChar -> Bool # (>=) :: PosixChar -> PosixChar -> Bool # max :: PosixChar -> PosixChar -> PosixChar # min :: PosixChar -> PosixChar -> PosixChar #
Ord PosixString |
Instance details Defined in System.OsString.Internal.Types Methods compare :: PosixString -> PosixString -> Ordering # (<) :: PosixString -> PosixString -> Bool # (<=) :: PosixString -> PosixString -> Bool # (>) :: PosixString -> PosixString -> Bool # (>=) :: PosixString -> PosixString -> Bool # max :: PosixString -> PosixString -> PosixString # min :: PosixString -> PosixString -> PosixString #
Ord WindowsChar |
Instance details Defined in System.OsString.Internal.Types Methods compare :: WindowsChar -> WindowsChar -> Ordering # (<) :: WindowsChar -> WindowsChar -> Bool # (<=) :: WindowsChar -> WindowsChar -> Bool # (>) :: WindowsChar -> WindowsChar -> Bool # (>=) :: WindowsChar -> WindowsChar -> Bool # max :: WindowsChar -> WindowsChar -> WindowsChar # min :: WindowsChar -> WindowsChar -> WindowsChar #
Ord WindowsString |
Instance details Defined in System.OsString.Internal.Types Methods compare :: WindowsString -> WindowsString -> Ordering # (<) :: WindowsString -> WindowsString -> Bool # (<=) :: WindowsString -> WindowsString -> Bool # (>) :: WindowsString -> WindowsString -> Bool # (>=) :: WindowsString -> WindowsString -> Bool # max :: WindowsString -> WindowsString -> WindowsString # min :: WindowsString -> WindowsString -> WindowsString #
Ord I8 |
Instance details Defined in Data.Text.Foreign Methods compare :: I8 -> I8 -> Ordering # (<) :: I8 -> I8 -> Bool # (<=) :: I8 -> I8 -> Bool # (>) :: I8 -> I8 -> Bool # (>=) :: I8 -> I8 -> Bool # max :: I8 -> I8 -> I8 # min :: I8 -> I8 -> I8 #
Ord Builder |
Instance details Defined in Data.Text.Internal.Builder Methods compare :: Builder -> Builder -> Ordering # (<) :: Builder -> Builder -> Bool # (<=) :: Builder -> Builder -> Bool # (>) :: Builder -> Builder -> Bool # (>=) :: Builder -> Builder -> Bool # max :: Builder -> Builder -> Builder # min :: Builder -> Builder -> Builder #
Ord Integer |
Instance details Defined in GHC.Num.Integer Methods compare :: Integer -> Integer -> Ordering # (<) :: Integer -> Integer -> Bool # (<=) :: Integer -> Integer -> Bool # (>) :: Integer -> Integer -> Bool # (>=) :: Integer -> Integer -> Bool # max :: Integer -> Integer -> Integer # min :: Integer -> Integer -> Integer #
Ord Natural |
Instance details Defined in GHC.Num.Natural Methods compare :: Natural -> Natural -> Ordering # (<) :: Natural -> Natural -> Bool # (<=) :: Natural -> Natural -> Bool # (>) :: Natural -> Natural -> Bool # (>=) :: Natural -> Natural -> Bool # max :: Natural -> Natural -> Natural # min :: Natural -> Natural -> Natural #
Ord () |
Instance details Defined in GHC.Classes Methods compare :: () -> () -> Ordering # (<) :: () -> () -> Bool # (<=) :: () -> () -> Bool # (>) :: () -> () -> Bool # (>=) :: () -> () -> Bool # max :: () -> () -> () # min :: () -> () -> () #
Ord Bool |
Instance details Defined in GHC.Classes Methods compare :: Bool -> Bool -> Ordering # (<) :: Bool -> Bool -> Bool # (<=) :: Bool -> Bool -> Bool # (>) :: Bool -> Bool -> Bool # (>=) :: Bool -> Bool -> Bool # max :: Bool -> Bool -> Bool # min :: Bool -> Bool -> Bool #
Ord Char |
Instance details Defined in GHC.Classes Methods compare :: Char -> Char -> Ordering # (<) :: Char -> Char -> Bool # (<=) :: Char -> Char -> Bool # (>) :: Char -> Char -> Bool # (>=) :: Char -> Char -> Bool # max :: Char -> Char -> Char # min :: Char -> Char -> Char #
Ord Double | IEEE 754 `Double`-precision type includes not only numbers, but also positive and negative infinities and a special element called `NaN` (which can be quiet or signal). IEEE 754-2008, section 5.11 requires that if at least one of arguments of `<=`, `<`, `>`, `>=` is `NaN` then the result of the comparison is `False`, and `instance` `Ord` `Double` complies with this requirement. This violates the reflexivity: both `NaN` `<=` `NaN` and `NaN` `>=` `NaN` are `False`. IEEE 754-2008, section 5.10 defines `totalOrder` predicate. Unfortunately, `compare` on `Double`s violates the IEEE standard and does not define a total order. More specifically, both `compare` `NaN` `x` and `compare` `x` `NaN` always return `GT`. Thus, users must be extremely cautious when using `instance` `Ord` `Double`. For instance, one should avoid ordered containers with keys represented by `Double`, because data loss and corruption may happen. An IEEE-compliant `compare` is available in `fp-ieee` package as `TotallyOrdered` newtype. Moving further, the behaviour of `min` and `max` with regards to `NaN` is also non-compliant. IEEE 754-2008, section 5.3.1 defines that quiet `NaN` should be treated as a missing data by `minNum` and `maxNum` functions, for example, `minNum(NaN, 1) = minNum(1, NaN) = 1`. Some languages such as Java deviate from the standard implementing `minNum(NaN, 1) = minNum(1, NaN) = NaN`. However, `min` / `max` in `base` are even worse: `min` `NaN` 1 is 1, but `min` 1 `NaN` is `NaN`. IEEE 754-2008 compliant `min` / `max` can be found in `ieee754` package under `minNum` / `maxNum` names. Implementations compliant with `minimumNumber` / `maximumNumber` from a newer IEEE 754-2019, section 9.6 are available from `fp-ieee` package.
Instance details Defined in GHC.Classes Methods compare :: Double -> Double -> Ordering # (<) :: Double -> Double -> Bool # (<=) :: Double -> Double -> Bool # (>) :: Double -> Double -> Bool # (>=) :: Double -> Double -> Bool # max :: Double -> Double -> Double # min :: Double -> Double -> Double #
Ord Float | See `instance` `Ord` `Double` for discussion of deviations from IEEE 754 standard.
Instance details Defined in GHC.Classes Methods compare :: Float -> Float -> Ordering # (<) :: Float -> Float -> Bool # (<=) :: Float -> Float -> Bool # (>) :: Float -> Float -> Bool # (>=) :: Float -> Float -> Bool # max :: Float -> Float -> Float # min :: Float -> Float -> Float #
Ord Int |
Instance details Defined in GHC.Classes Methods compare :: Int -> Int -> Ordering # (<) :: Int -> Int -> Bool # (<=) :: Int -> Int -> Bool # (>) :: Int -> Int -> Bool # (>=) :: Int -> Int -> Bool # max :: Int -> Int -> Int # min :: Int -> Int -> Int #
Ord Word |
Instance details Defined in GHC.Classes Methods compare :: Word -> Word -> Ordering # (<) :: Word -> Word -> Bool # (<=) :: Word -> Word -> Bool # (>) :: Word -> Word -> Bool # (>=) :: Word -> Word -> Bool # max :: Word -> Word -> Word # min :: Word -> Word -> Word #
Ord a => Ord (First a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods compare :: First a -> First a -> Ordering # (<) :: First a -> First a -> Bool # (<=) :: First a -> First a -> Bool # (>) :: First a -> First a -> Bool # (>=) :: First a -> First a -> Bool # max :: First a -> First a -> First a # min :: First a -> First a -> First a #
Ord a => Ord (Last a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods compare :: Last a -> Last a -> Ordering # (<) :: Last a -> Last a -> Bool # (<=) :: Last a -> Last a -> Bool # (>) :: Last a -> Last a -> Bool # (>=) :: Last a -> Last a -> Bool # max :: Last a -> Last a -> Last a # min :: Last a -> Last a -> Last a #
Ord a => Ord (Max a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods compare :: Max a -> Max a -> Ordering # (<) :: Max a -> Max a -> Bool # (<=) :: Max a -> Max a -> Bool # (>) :: Max a -> Max a -> Bool # (>=) :: Max a -> Max a -> Bool # max :: Max a -> Max a -> Max a # min :: Max a -> Max a -> Max a #
Ord a => Ord (Min a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods compare :: Min a -> Min a -> Ordering # (<) :: Min a -> Min a -> Bool # (<=) :: Min a -> Min a -> Bool # (>) :: Min a -> Min a -> Bool # (>=) :: Min a -> Min a -> Bool # max :: Min a -> Min a -> Min a # min :: Min a -> Min a -> Min a #
Ord m => Ord (WrappedMonoid m) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods compare :: WrappedMonoid m -> WrappedMonoid m -> Ordering # (<) :: WrappedMonoid m -> WrappedMonoid m -> Bool # (<=) :: WrappedMonoid m -> WrappedMonoid m -> Bool # (>) :: WrappedMonoid m -> WrappedMonoid m -> Bool # (>=) :: WrappedMonoid m -> WrappedMonoid m -> Bool # max :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m # min :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m #
Ord a => Ord (IntMap a) |
Instance details Defined in Data.IntMap.Internal Methods compare :: IntMap a -> IntMap a -> Ordering # (<) :: IntMap a -> IntMap a -> Bool # (<=) :: IntMap a -> IntMap a -> Bool # (>) :: IntMap a -> IntMap a -> Bool # (>=) :: IntMap a -> IntMap a -> Bool # max :: IntMap a -> IntMap a -> IntMap a # min :: IntMap a -> IntMap a -> IntMap a #
Ord a => Ord (Seq a) |
Instance details Defined in Data.Sequence.Internal Methods compare :: Seq a -> Seq a -> Ordering # (<) :: Seq a -> Seq a -> Bool # (<=) :: Seq a -> Seq a -> Bool # (>) :: Seq a -> Seq a -> Bool # (>=) :: Seq a -> Seq a -> Bool # max :: Seq a -> Seq a -> Seq a # min :: Seq a -> Seq a -> Seq a #
Ord a => Ord (ViewL a) |
Instance details Defined in Data.Sequence.Internal Methods compare :: ViewL a -> ViewL a -> Ordering # (<) :: ViewL a -> ViewL a -> Bool # (<=) :: ViewL a -> ViewL a -> Bool # (>) :: ViewL a -> ViewL a -> Bool # (>=) :: ViewL a -> ViewL a -> Bool # max :: ViewL a -> ViewL a -> ViewL a # min :: ViewL a -> ViewL a -> ViewL a #
Ord a => Ord (ViewR a) |
Instance details Defined in Data.Sequence.Internal Methods compare :: ViewR a -> ViewR a -> Ordering # (<) :: ViewR a -> ViewR a -> Bool # (<=) :: ViewR a -> ViewR a -> Bool # (>) :: ViewR a -> ViewR a -> Bool # (>=) :: ViewR a -> ViewR a -> Bool # max :: ViewR a -> ViewR a -> ViewR a # min :: ViewR a -> ViewR a -> ViewR a #
Ord a => Ord (Intersection a) |
Instance details Defined in Data.Set.Internal Methods compare :: Intersection a -> Intersection a -> Ordering # (<) :: Intersection a -> Intersection a -> Bool # (<=) :: Intersection a -> Intersection a -> Bool # (>) :: Intersection a -> Intersection a -> Bool # (>=) :: Intersection a -> Intersection a -> Bool # max :: Intersection a -> Intersection a -> Intersection a # min :: Intersection a -> Intersection a -> Intersection a #
Ord a => Ord (Set a) |
Instance details Defined in Data.Set.Internal Methods compare :: Set a -> Set a -> Ordering # (<) :: Set a -> Set a -> Bool # (<=) :: Set a -> Set a -> Bool # (>) :: Set a -> Set a -> Bool # (>=) :: Set a -> Set a -> Bool # max :: Set a -> Set a -> Set a # min :: Set a -> Set a -> Set a #
Ord a => Ord (Tree a) | Since: containers-0.6.5
Instance details Defined in Data.Tree Methods compare :: Tree a -> Tree a -> Ordering # (<) :: Tree a -> Tree a -> Bool # (<=) :: Tree a -> Tree a -> Bool # (>) :: Tree a -> Tree a -> Bool # (>=) :: Tree a -> Tree a -> Bool # max :: Tree a -> Tree a -> Tree a # min :: Tree a -> Tree a -> Tree a #
Ord a => Ord (NonEmpty a) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods compare :: NonEmpty a -> NonEmpty a -> Ordering # (<) :: NonEmpty a -> NonEmpty a -> Bool # (<=) :: NonEmpty a -> NonEmpty a -> Bool # (>) :: NonEmpty a -> NonEmpty a -> Bool # (>=) :: NonEmpty a -> NonEmpty a -> Bool # max :: NonEmpty a -> NonEmpty a -> NonEmpty a # min :: NonEmpty a -> NonEmpty a -> NonEmpty a #
Ord a => Ord (Down a) | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods compare :: Down a -> Down a -> Ordering # (<) :: Down a -> Down a -> Bool # (<=) :: Down a -> Down a -> Bool # (>) :: Down a -> Down a -> Bool # (>=) :: Down a -> Down a -> Bool # max :: Down a -> Down a -> Down a # min :: Down a -> Down a -> Down a #
Ord p => Ord (Par1 p) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: Par1 p -> Par1 p -> Ordering # (<) :: Par1 p -> Par1 p -> Bool # (<=) :: Par1 p -> Par1 p -> Bool # (>) :: Par1 p -> Par1 p -> Bool # (>=) :: Par1 p -> Par1 p -> Bool # max :: Par1 p -> Par1 p -> Par1 p # min :: Par1 p -> Par1 p -> Par1 p #
Integral a => Ord (Ratio a) | @since base-2.0.1
Instance details Defined in GHC.Internal.Real Methods compare :: Ratio a -> Ratio a -> Ordering # (<) :: Ratio a -> Ratio a -> Bool # (<=) :: Ratio a -> Ratio a -> Bool # (>) :: Ratio a -> Ratio a -> Bool # (>=) :: Ratio a -> Ratio a -> Bool # max :: Ratio a -> Ratio a -> Ratio a # min :: Ratio a -> Ratio a -> Ratio a #
Ord a => Ord (Hashed a) |
Instance details Defined in Data.Hashable.Class Methods compare :: Hashed a -> Hashed a -> Ordering # (<) :: Hashed a -> Hashed a -> Bool # (<=) :: Hashed a -> Hashed a -> Bool # (>) :: Hashed a -> Hashed a -> Bool # (>=) :: Hashed a -> Hashed a -> Bool # max :: Hashed a -> Hashed a -> Hashed a # min :: Hashed a -> Hashed a -> Hashed a #
Ord a => Ord (Array a) | Lexicographic ordering. Subject to change between major versions.
Instance details Defined in Data.Primitive.Array Methods compare :: Array a -> Array a -> Ordering # (<) :: Array a -> Array a -> Bool # (<=) :: Array a -> Array a -> Bool # (>) :: Array a -> Array a -> Bool # (>=) :: Array a -> Array a -> Bool # max :: Array a -> Array a -> Array a # min :: Array a -> Array a -> Array a #
(Ord a, Prim a) => Ord (PrimArray a) | Lexicographic ordering. Subject to change between major versions. Since: primitive-0.6.4.0
Instance details Defined in Data.Primitive.PrimArray Methods compare :: PrimArray a -> PrimArray a -> Ordering # (<) :: PrimArray a -> PrimArray a -> Bool # (<=) :: PrimArray a -> PrimArray a -> Bool # (>) :: PrimArray a -> PrimArray a -> Bool # (>=) :: PrimArray a -> PrimArray a -> Bool # max :: PrimArray a -> PrimArray a -> PrimArray a # min :: PrimArray a -> PrimArray a -> PrimArray a #
Ord a => Ord (SmallArray a) | Lexicographic ordering. Subject to change between major versions.
Instance details Defined in Data.Primitive.SmallArray Methods compare :: SmallArray a -> SmallArray a -> Ordering # (<) :: SmallArray a -> SmallArray a -> Bool # (<=) :: SmallArray a -> SmallArray a -> Bool # (>) :: SmallArray a -> SmallArray a -> Bool # (>=) :: SmallArray a -> SmallArray a -> Bool # max :: SmallArray a -> SmallArray a -> SmallArray a # min :: SmallArray a -> SmallArray a -> SmallArray a #
Ord a => Ord (Stream a) |
Instance details Defined in Data.Text.Internal.Fusion.Types Methods compare :: Stream a -> Stream a -> Ordering # (<) :: Stream a -> Stream a -> Bool # (<=) :: Stream a -> Stream a -> Bool # (>) :: Stream a -> Stream a -> Bool # (>=) :: Stream a -> Stream a -> Bool # max :: Stream a -> Stream a -> Stream a # min :: Stream a -> Stream a -> Stream a #
Ord a => Ord (HashSet a) |
Instance details Defined in Data.HashSet.Internal Methods compare :: HashSet a -> HashSet a -> Ordering # (<) :: HashSet a -> HashSet a -> Bool # (<=) :: HashSet a -> HashSet a -> Bool # (>) :: HashSet a -> HashSet a -> Bool # (>=) :: HashSet a -> HashSet a -> Bool # max :: HashSet a -> HashSet a -> HashSet a # min :: HashSet a -> HashSet a -> HashSet a #
Ord a => Ord (Vector a) |
Instance details Defined in Data.Vector Methods compare :: Vector a -> Vector a -> Ordering # (<) :: Vector a -> Vector a -> Bool # (<=) :: Vector a -> Vector a -> Bool # (>) :: Vector a -> Vector a -> Bool # (>=) :: Vector a -> Vector a -> Bool # max :: Vector a -> Vector a -> Vector a # min :: Vector a -> Vector a -> Vector a #
(Prim a, Ord a) => Ord (Vector a) |
Instance details Defined in Data.Vector.Primitive Methods compare :: Vector a -> Vector a -> Ordering # (<) :: Vector a -> Vector a -> Bool # (<=) :: Vector a -> Vector a -> Bool # (>) :: Vector a -> Vector a -> Bool # (>=) :: Vector a -> Vector a -> Bool # max :: Vector a -> Vector a -> Vector a # min :: Vector a -> Vector a -> Vector a #
(Storable a, Ord a) => Ord (Vector a) |
Instance details Defined in Data.Vector.Storable Methods compare :: Vector a -> Vector a -> Ordering # (<) :: Vector a -> Vector a -> Bool # (<=) :: Vector a -> Vector a -> Bool # (>) :: Vector a -> Vector a -> Bool # (>=) :: Vector a -> Vector a -> Bool # max :: Vector a -> Vector a -> Vector a # min :: Vector a -> Vector a -> Vector a #
Ord a => Ord (Vector a) |
Instance details Defined in Data.Vector.Strict Methods compare :: Vector a -> Vector a -> Ordering # (<) :: Vector a -> Vector a -> Bool # (<=) :: Vector a -> Vector a -> Bool # (>) :: Vector a -> Vector a -> Bool # (>=) :: Vector a -> Vector a -> Bool # max :: Vector a -> Vector a -> Vector a # min :: Vector a -> Vector a -> Vector a #
Ord a => Ord (Maybe a) | @since base-2.01
Instance details Defined in GHC.Internal.Maybe Methods compare :: Maybe a -> Maybe a -> Ordering # (<) :: Maybe a -> Maybe a -> Bool # (<=) :: Maybe a -> Maybe a -> Bool # (>) :: Maybe a -> Maybe a -> Bool # (>=) :: Maybe a -> Maybe a -> Bool # max :: Maybe a -> Maybe a -> Maybe a # min :: Maybe a -> Maybe a -> Maybe a #
Ord a => Ord (Solo a) |
Instance details Defined in GHC.Classes Methods compare :: Solo a -> Solo a -> Ordering # (<) :: Solo a -> Solo a -> Bool # (<=) :: Solo a -> Solo a -> Bool # (>) :: Solo a -> Solo a -> Bool # (>=) :: Solo a -> Solo a -> Bool # max :: Solo a -> Solo a -> Solo a # min :: Solo a -> Solo a -> Solo a #
Ord a => Ord [a] |
Instance details Defined in GHC.Classes Methods compare :: [a] -> [a] -> Ordering # (<) :: [a] -> [a] -> Bool # (<=) :: [a] -> [a] -> Bool # (>) :: [a] -> [a] -> Bool # (>=) :: [a] -> [a] -> Bool # max :: [a] -> [a] -> [a] # min :: [a] -> [a] -> [a] #
Ord (Fixed a) | Since: base-2.1
Instance details Defined in Data.Fixed Methods compare :: Fixed a -> Fixed a -> Ordering # (<) :: Fixed a -> Fixed a -> Bool # (<=) :: Fixed a -> Fixed a -> Bool # (>) :: Fixed a -> Fixed a -> Bool # (>=) :: Fixed a -> Fixed a -> Bool # max :: Fixed a -> Fixed a -> Fixed a # min :: Fixed a -> Fixed a -> Fixed a #
Ord a => Ord (Arg a b) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods compare :: Arg a b -> Arg a b -> Ordering # (<) :: Arg a b -> Arg a b -> Bool # (<=) :: Arg a b -> Arg a b -> Bool # (>) :: Arg a b -> Arg a b -> Bool # (>=) :: Arg a b -> Arg a b -> Bool # max :: Arg a b -> Arg a b -> Arg a b # min :: Arg a b -> Arg a b -> Arg a b #
(Ord k, Ord v) => Ord (Map k v) |
Instance details Defined in Data.Map.Internal Methods compare :: Map k v -> Map k v -> Ordering # (<) :: Map k v -> Map k v -> Bool # (<=) :: Map k v -> Map k v -> Bool # (>) :: Map k v -> Map k v -> Bool # (>=) :: Map k v -> Map k v -> Bool # max :: Map k v -> Map k v -> Map k v # min :: Map k v -> Map k v -> Map k v #
(Ord a, Ord b) => Ord (Either a b) | @since base-2.01
Instance details Defined in GHC.Internal.Data.Either Methods compare :: Either a b -> Either a b -> Ordering # (<) :: Either a b -> Either a b -> Bool # (<=) :: Either a b -> Either a b -> Bool # (>) :: Either a b -> Either a b -> Bool # (>=) :: Either a b -> Either a b -> Bool # max :: Either a b -> Either a b -> Either a b # min :: Either a b -> Either a b -> Either a b #
Ord (TypeRep a) | @since base-4.4.0.0
Instance details Defined in GHC.Internal.Data.Typeable.Internal Methods compare :: TypeRep a -> TypeRep a -> Ordering # (<) :: TypeRep a -> TypeRep a -> Bool # (<=) :: TypeRep a -> TypeRep a -> Bool # (>) :: TypeRep a -> TypeRep a -> Bool # (>=) :: TypeRep a -> TypeRep a -> Bool # max :: TypeRep a -> TypeRep a -> TypeRep a # min :: TypeRep a -> TypeRep a -> TypeRep a #
Ord (U1 p) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: U1 p -> U1 p -> Ordering # (<) :: U1 p -> U1 p -> Bool # (<=) :: U1 p -> U1 p -> Bool # (>) :: U1 p -> U1 p -> Bool # (>=) :: U1 p -> U1 p -> Bool # max :: U1 p -> U1 p -> U1 p # min :: U1 p -> U1 p -> U1 p #
Ord (V1 p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: V1 p -> V1 p -> Ordering # (<) :: V1 p -> V1 p -> Bool # (<=) :: V1 p -> V1 p -> Bool # (>) :: V1 p -> V1 p -> Bool # (>=) :: V1 p -> V1 p -> Bool # max :: V1 p -> V1 p -> V1 p # min :: V1 p -> V1 p -> V1 p #
(Ord1 f, Ord a) => Ord (Lift f a) |
Instance details Defined in Control.Applicative.Lift Methods compare :: Lift f a -> Lift f a -> Ordering # (<) :: Lift f a -> Lift f a -> Bool # (<=) :: Lift f a -> Lift f a -> Bool # (>) :: Lift f a -> Lift f a -> Bool # (>=) :: Lift f a -> Lift f a -> Bool # max :: Lift f a -> Lift f a -> Lift f a # min :: Lift f a -> Lift f a -> Lift f a #
(Ord1 m, Ord a) => Ord (MaybeT m a) |
Instance details Defined in Control.Monad.Trans.Maybe Methods compare :: MaybeT m a -> MaybeT m a -> Ordering # (<) :: MaybeT m a -> MaybeT m a -> Bool # (<=) :: MaybeT m a -> MaybeT m a -> Bool # (>) :: MaybeT m a -> MaybeT m a -> Bool # (>=) :: MaybeT m a -> MaybeT m a -> Bool # max :: MaybeT m a -> MaybeT m a -> MaybeT m a # min :: MaybeT m a -> MaybeT m a -> MaybeT m a #
(Ord k, Ord v) => Ord (HashMap k v) | The ordering is total and consistent with the `Eq` instance. However, nothing else about the ordering is specified, and it may change from version to version of either this package or of hashable.
Instance details Defined in Data.HashMap.Internal Methods compare :: HashMap k v -> HashMap k v -> Ordering # (<) :: HashMap k v -> HashMap k v -> Bool # (<=) :: HashMap k v -> HashMap k v -> Bool # (>) :: HashMap k v -> HashMap k v -> Bool # (>=) :: HashMap k v -> HashMap k v -> Bool # max :: HashMap k v -> HashMap k v -> HashMap k v # min :: HashMap k v -> HashMap k v -> HashMap k v #
(Ord a, Ord b) => Ord (a, b) |
Instance details Defined in GHC.Classes Methods compare :: (a, b) -> (a, b) -> Ordering # (<) :: (a, b) -> (a, b) -> Bool # (<=) :: (a, b) -> (a, b) -> Bool # (>) :: (a, b) -> (a, b) -> Bool # (>=) :: (a, b) -> (a, b) -> Bool # max :: (a, b) -> (a, b) -> (a, b) # min :: (a, b) -> (a, b) -> (a, b) #
(Generic1 f, Ord (Rep1 f a)) => Ord (Generically1 f a) | @since base-4.18.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: Generically1 f a -> Generically1 f a -> Ordering # (<) :: Generically1 f a -> Generically1 f a -> Bool # (<=) :: Generically1 f a -> Generically1 f a -> Bool # (>) :: Generically1 f a -> Generically1 f a -> Bool # (>=) :: Generically1 f a -> Generically1 f a -> Bool # max :: Generically1 f a -> Generically1 f a -> Generically1 f a # min :: Generically1 f a -> Generically1 f a -> Generically1 f a #
Ord (f p) => Ord (Rec1 f p) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: Rec1 f p -> Rec1 f p -> Ordering # (<) :: Rec1 f p -> Rec1 f p -> Bool # (<=) :: Rec1 f p -> Rec1 f p -> Bool # (>) :: Rec1 f p -> Rec1 f p -> Bool # (>=) :: Rec1 f p -> Rec1 f p -> Bool # max :: Rec1 f p -> Rec1 f p -> Rec1 f p # min :: Rec1 f p -> Rec1 f p -> Rec1 f p #
Ord (URec (Ptr ()) p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: URec (Ptr ()) p -> URec (Ptr ()) p -> Ordering # (<) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool # (<=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool # (>) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool # (>=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool # max :: URec (Ptr ()) p -> URec (Ptr ()) p -> URec (Ptr ()) p # min :: URec (Ptr ()) p -> URec (Ptr ()) p -> URec (Ptr ()) p #
Ord (URec Char p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: URec Char p -> URec Char p -> Ordering # (<) :: URec Char p -> URec Char p -> Bool # (<=) :: URec Char p -> URec Char p -> Bool # (>) :: URec Char p -> URec Char p -> Bool # (>=) :: URec Char p -> URec Char p -> Bool # max :: URec Char p -> URec Char p -> URec Char p # min :: URec Char p -> URec Char p -> URec Char p #
Ord (URec Double p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: URec Double p -> URec Double p -> Ordering # (<) :: URec Double p -> URec Double p -> Bool # (<=) :: URec Double p -> URec Double p -> Bool # (>) :: URec Double p -> URec Double p -> Bool # (>=) :: URec Double p -> URec Double p -> Bool # max :: URec Double p -> URec Double p -> URec Double p # min :: URec Double p -> URec Double p -> URec Double p #
Ord (URec Float p) |
Instance details Defined in GHC.Internal.Generics Methods compare :: URec Float p -> URec Float p -> Ordering # (<) :: URec Float p -> URec Float p -> Bool # (<=) :: URec Float p -> URec Float p -> Bool # (>) :: URec Float p -> URec Float p -> Bool # (>=) :: URec Float p -> URec Float p -> Bool # max :: URec Float p -> URec Float p -> URec Float p # min :: URec Float p -> URec Float p -> URec Float p #
Ord (URec Int p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: URec Int p -> URec Int p -> Ordering # (<) :: URec Int p -> URec Int p -> Bool # (<=) :: URec Int p -> URec Int p -> Bool # (>) :: URec Int p -> URec Int p -> Bool # (>=) :: URec Int p -> URec Int p -> Bool # max :: URec Int p -> URec Int p -> URec Int p # min :: URec Int p -> URec Int p -> URec Int p #
Ord (URec Word p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: URec Word p -> URec Word p -> Ordering # (<) :: URec Word p -> URec Word p -> Bool # (<=) :: URec Word p -> URec Word p -> Bool # (>) :: URec Word p -> URec Word p -> Bool # (>=) :: URec Word p -> URec Word p -> Bool # max :: URec Word p -> URec Word p -> URec Word p # min :: URec Word p -> URec Word p -> URec Word p #
(Ord1 f, Ord a) => Ord (Backwards f a) |
Instance details Defined in Control.Applicative.Backwards Methods compare :: Backwards f a -> Backwards f a -> Ordering # (<) :: Backwards f a -> Backwards f a -> Bool # (<=) :: Backwards f a -> Backwards f a -> Bool # (>) :: Backwards f a -> Backwards f a -> Bool # (>=) :: Backwards f a -> Backwards f a -> Bool # max :: Backwards f a -> Backwards f a -> Backwards f a # min :: Backwards f a -> Backwards f a -> Backwards f a #
(Ord e, Ord1 m, Ord a) => Ord (ExceptT e m a) |
Instance details Defined in Control.Monad.Trans.Except Methods compare :: ExceptT e m a -> ExceptT e m a -> Ordering # (<) :: ExceptT e m a -> ExceptT e m a -> Bool # (<=) :: ExceptT e m a -> ExceptT e m a -> Bool # (>) :: ExceptT e m a -> ExceptT e m a -> Bool # (>=) :: ExceptT e m a -> ExceptT e m a -> Bool # max :: ExceptT e m a -> ExceptT e m a -> ExceptT e m a # min :: ExceptT e m a -> ExceptT e m a -> ExceptT e m a #
(Ord1 f, Ord a) => Ord (IdentityT f a) |
Instance details Defined in Control.Monad.Trans.Identity Methods compare :: IdentityT f a -> IdentityT f a -> Ordering # (<) :: IdentityT f a -> IdentityT f a -> Bool # (<=) :: IdentityT f a -> IdentityT f a -> Bool # (>) :: IdentityT f a -> IdentityT f a -> Bool # (>=) :: IdentityT f a -> IdentityT f a -> Bool # max :: IdentityT f a -> IdentityT f a -> IdentityT f a # min :: IdentityT f a -> IdentityT f a -> IdentityT f a #
(Ord w, Ord1 m, Ord a) => Ord (WriterT w m a) |
Instance details Defined in Control.Monad.Trans.Writer.Lazy Methods compare :: WriterT w m a -> WriterT w m a -> Ordering # (<) :: WriterT w m a -> WriterT w m a -> Bool # (<=) :: WriterT w m a -> WriterT w m a -> Bool # (>) :: WriterT w m a -> WriterT w m a -> Bool # (>=) :: WriterT w m a -> WriterT w m a -> Bool # max :: WriterT w m a -> WriterT w m a -> WriterT w m a # min :: WriterT w m a -> WriterT w m a -> WriterT w m a #
(Ord w, Ord1 m, Ord a) => Ord (WriterT w m a) |
Instance details Defined in Control.Monad.Trans.Writer.Strict Methods compare :: WriterT w m a -> WriterT w m a -> Ordering # (<) :: WriterT w m a -> WriterT w m a -> Bool # (<=) :: WriterT w m a -> WriterT w m a -> Bool # (>) :: WriterT w m a -> WriterT w m a -> Bool # (>=) :: WriterT w m a -> WriterT w m a -> Bool # max :: WriterT w m a -> WriterT w m a -> WriterT w m a # min :: WriterT w m a -> WriterT w m a -> WriterT w m a #
Ord a => Ord (Constant a b) |
Instance details Defined in Data.Functor.Constant Methods compare :: Constant a b -> Constant a b -> Ordering # (<) :: Constant a b -> Constant a b -> Bool # (<=) :: Constant a b -> Constant a b -> Bool # (>) :: Constant a b -> Constant a b -> Bool # (>=) :: Constant a b -> Constant a b -> Bool # max :: Constant a b -> Constant a b -> Constant a b # min :: Constant a b -> Constant a b -> Constant a b #
(Ord1 f, Ord a) => Ord (Reverse f a) |
Instance details Defined in Data.Functor.Reverse Methods compare :: Reverse f a -> Reverse f a -> Ordering # (<) :: Reverse f a -> Reverse f a -> Bool # (<=) :: Reverse f a -> Reverse f a -> Bool # (>) :: Reverse f a -> Reverse f a -> Bool # (>=) :: Reverse f a -> Reverse f a -> Bool # max :: Reverse f a -> Reverse f a -> Reverse f a # min :: Reverse f a -> Reverse f a -> Reverse f a #
(Ord a, Ord b, Ord c) => Ord (a, b, c) |
Instance details Defined in GHC.Classes Methods compare :: (a, b, c) -> (a, b, c) -> Ordering # (<) :: (a, b, c) -> (a, b, c) -> Bool # (<=) :: (a, b, c) -> (a, b, c) -> Bool # (>) :: (a, b, c) -> (a, b, c) -> Bool # (>=) :: (a, b, c) -> (a, b, c) -> Bool # max :: (a, b, c) -> (a, b, c) -> (a, b, c) # min :: (a, b, c) -> (a, b, c) -> (a, b, c) #
(Ord (f a), Ord (g a)) => Ord (Product f g a) | Since: base-4.18.0.0
Instance details Defined in Data.Functor.Product Methods compare :: Product f g a -> Product f g a -> Ordering # (<) :: Product f g a -> Product f g a -> Bool # (<=) :: Product f g a -> Product f g a -> Bool # (>) :: Product f g a -> Product f g a -> Bool # (>=) :: Product f g a -> Product f g a -> Bool # max :: Product f g a -> Product f g a -> Product f g a # min :: Product f g a -> Product f g a -> Product f g a #
(Ord (f a), Ord (g a)) => Ord (Sum f g a) | Since: base-4.18.0.0
Instance details Defined in Data.Functor.Sum Methods compare :: Sum f g a -> Sum f g a -> Ordering # (<) :: Sum f g a -> Sum f g a -> Bool # (<=) :: Sum f g a -> Sum f g a -> Bool # (>) :: Sum f g a -> Sum f g a -> Bool # (>=) :: Sum f g a -> Sum f g a -> Bool # max :: Sum f g a -> Sum f g a -> Sum f g a # min :: Sum f g a -> Sum f g a -> Sum f g a #
(Ord (f p), Ord (g p)) => Ord ((f :*: g) p) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: (f :*: g) p -> (f :*: g) p -> Ordering # (<) :: (f :*: g) p -> (f :*: g) p -> Bool # (<=) :: (f :*: g) p -> (f :*: g) p -> Bool # (>) :: (f :*: g) p -> (f :*: g) p -> Bool # (>=) :: (f :*: g) p -> (f :*: g) p -> Bool # max :: (f :*: g) p -> (f :*: g) p -> (f :*: g) p # min :: (f :*: g) p -> (f :*: g) p -> (f :*: g) p #
(Ord (f p), Ord (g p)) => Ord ((f :+: g) p) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: (f :+: g) p -> (f :+: g) p -> Ordering # (<) :: (f :+: g) p -> (f :+: g) p -> Bool # (<=) :: (f :+: g) p -> (f :+: g) p -> Bool # (>) :: (f :+: g) p -> (f :+: g) p -> Bool # (>=) :: (f :+: g) p -> (f :+: g) p -> Bool # max :: (f :+: g) p -> (f :+: g) p -> (f :+: g) p # min :: (f :+: g) p -> (f :+: g) p -> (f :+: g) p #
Ord c => Ord (K1 i c p) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: K1 i c p -> K1 i c p -> Ordering # (<) :: K1 i c p -> K1 i c p -> Bool # (<=) :: K1 i c p -> K1 i c p -> Bool # (>) :: K1 i c p -> K1 i c p -> Bool # (>=) :: K1 i c p -> K1 i c p -> Bool # max :: K1 i c p -> K1 i c p -> K1 i c p # min :: K1 i c p -> K1 i c p -> K1 i c p #
(Ord a, Ord b, Ord c, Ord d) => Ord (a, b, c, d) |
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d) -> (a, b, c, d) -> Ordering # (<) :: (a, b, c, d) -> (a, b, c, d) -> Bool # (<=) :: (a, b, c, d) -> (a, b, c, d) -> Bool # (>) :: (a, b, c, d) -> (a, b, c, d) -> Bool # (>=) :: (a, b, c, d) -> (a, b, c, d) -> Bool # max :: (a, b, c, d) -> (a, b, c, d) -> (a, b, c, d) # min :: (a, b, c, d) -> (a, b, c, d) -> (a, b, c, d) #
Ord (f (g a)) => Ord (Compose f g a) | Since: base-4.18.0.0
Instance details Defined in Data.Functor.Compose Methods compare :: Compose f g a -> Compose f g a -> Ordering # (<) :: Compose f g a -> Compose f g a -> Bool # (<=) :: Compose f g a -> Compose f g a -> Bool # (>) :: Compose f g a -> Compose f g a -> Bool # (>=) :: Compose f g a -> Compose f g a -> Bool # max :: Compose f g a -> Compose f g a -> Compose f g a # min :: Compose f g a -> Compose f g a -> Compose f g a #
Ord (f (g p)) => Ord ((f :.: g) p) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: (f :.: g) p -> (f :.: g) p -> Ordering # (<) :: (f :.: g) p -> (f :.: g) p -> Bool # (<=) :: (f :.: g) p -> (f :.: g) p -> Bool # (>) :: (f :.: g) p -> (f :.: g) p -> Bool # (>=) :: (f :.: g) p -> (f :.: g) p -> Bool # max :: (f :.: g) p -> (f :.: g) p -> (f :.: g) p # min :: (f :.: g) p -> (f :.: g) p -> (f :.: g) p #
Ord (f p) => Ord (M1 i c f p) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: M1 i c f p -> M1 i c f p -> Ordering # (<) :: M1 i c f p -> M1 i c f p -> Bool # (<=) :: M1 i c f p -> M1 i c f p -> Bool # (>) :: M1 i c f p -> M1 i c f p -> Bool # (>=) :: M1 i c f p -> M1 i c f p -> Bool # max :: M1 i c f p -> M1 i c f p -> M1 i c f p # min :: M1 i c f p -> M1 i c f p -> M1 i c f p #
(Ord a, Ord b, Ord c, Ord d, Ord e) => Ord (a, b, c, d, e) |
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e) -> (a, b, c, d, e) -> Ordering # (<) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool # (<=) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool # (>) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool # (>=) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool # max :: (a, b, c, d, e) -> (a, b, c, d, e) -> (a, b, c, d, e) # min :: (a, b, c, d, e) -> (a, b, c, d, e) -> (a, b, c, d, e) #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f) => Ord (a, b, c, d, e, f) |
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Ordering # (<) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool # (<=) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool # (>) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool # (>=) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool # max :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> (a, b, c, d, e, f) # min :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> (a, b, c, d, e, f) #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g) => Ord (a, b, c, d, e, f, g) |
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Ordering # (<) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool # (<=) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool # (>) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool # (>=) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool # max :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) # min :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h) => Ord (a, b, c, d, e, f, g, h) |
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Ordering # (<) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool # (<=) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool # (>) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool # (>=) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool # max :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) # min :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i) => Ord (a, b, c, d, e, f, g, h, i) |
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Ordering # (<) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool # (<=) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool # (>) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool # (>=) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool # max :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) # min :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j) => Ord (a, b, c, d, e, f, g, h, i, j) |
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Ordering # (<) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool # (<=) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool # (>) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool # (>=) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool # max :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) # min :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k) => Ord (a, b, c, d, e, f, g, h, i, j, k) |
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Ordering # (<) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool # (<=) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool # (>) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool # (>=) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool # max :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) # min :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k, Ord l) => Ord (a, b, c, d, e, f, g, h, i, j, k, l) |
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Ordering # (<) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool # (<=) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool # (>) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool # (>=) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool # max :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) # min :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k, Ord l, Ord m) => Ord (a, b, c, d, e, f, g, h, i, j, k, l, m) |
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Ordering # (<) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool # (<=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool # (>) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool # (>=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool # max :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) # min :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k, Ord l, Ord m, Ord n) => Ord (a, b, c, d, e, f, g, h, i, j, k, l, m, n) |
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Ordering # (<) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool # (<=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool # (>) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool # (>=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool # max :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) # min :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k, Ord l, Ord m, Ord n, Ord o) => Ord (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) |
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Ordering # (<) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool # (<=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool # (>) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool # (>=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool # max :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) # min :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) #

class Eq a where #

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

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

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

Minimal complete definition

(==) | (/=)

Methods

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

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

#### Instances

Instances details

Eq ByteArray | Since: base-4.17.0.0
Instance details Defined in Data.Array.Byte Methods (==) :: ByteArray -> ByteArray -> Bool # (/=) :: ByteArray -> ByteArray -> Bool #
Eq Timeout |
Instance details Defined in System.Timeout Methods (==) :: Timeout -> Timeout -> Bool # (/=) :: Timeout -> Timeout -> Bool #
Eq ByteString |
Instance details Defined in Data.ByteString.Internal.Type Methods (==) :: ByteString -> ByteString -> Bool # (/=) :: ByteString -> ByteString -> Bool #
Eq ByteString |
Instance details Defined in Data.ByteString.Lazy.Internal Methods (==) :: ByteString -> ByteString -> Bool # (/=) :: ByteString -> ByteString -> Bool #
Eq ShortByteString |
Instance details Defined in Data.ByteString.Short.Internal Methods (==) :: ShortByteString -> ShortByteString -> Bool # (/=) :: ShortByteString -> ShortByteString -> Bool #
Eq IntSet |
Instance details Defined in Data.IntSet.Internal Methods (==) :: IntSet -> IntSet -> Bool # (/=) :: IntSet -> IntSet -> Bool #
Eq BigNat |
Instance details Defined in GHC.Num.BigNat Methods (==) :: BigNat -> BigNat -> Bool # (/=) :: BigNat -> BigNat -> Bool #
Eq Void | @since base-4.8.0.0
Instance details Defined in GHC.Internal.Base Methods (==) :: Void -> Void -> Bool # (/=) :: Void -> Void -> Bool #
Eq SomeTypeRep |
Instance details Defined in GHC.Internal.Data.Typeable.Internal Methods (==) :: SomeTypeRep -> SomeTypeRep -> Bool # (/=) :: SomeTypeRep -> SomeTypeRep -> Bool #
Eq Version | @since base-2.01
Instance details Defined in GHC.Internal.Data.Version Methods (==) :: Version -> Version -> Bool # (/=) :: Version -> Version -> Bool #
Eq ArithException | @since base-3.0
Instance details Defined in GHC.Internal.Exception.Type Methods (==) :: ArithException -> ArithException -> Bool # (/=) :: ArithException -> ArithException -> Bool #
Eq CBool |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CBool -> CBool -> Bool # (/=) :: CBool -> CBool -> Bool #
Eq CChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CChar -> CChar -> Bool # (/=) :: CChar -> CChar -> Bool #
Eq CClock |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CClock -> CClock -> Bool # (/=) :: CClock -> CClock -> Bool #
Eq CDouble |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CDouble -> CDouble -> Bool # (/=) :: CDouble -> CDouble -> Bool #
Eq CFloat |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CFloat -> CFloat -> Bool # (/=) :: CFloat -> CFloat -> Bool #
Eq CInt |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CInt -> CInt -> Bool # (/=) :: CInt -> CInt -> Bool #
Eq CIntMax |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CIntMax -> CIntMax -> Bool # (/=) :: CIntMax -> CIntMax -> Bool #
Eq CIntPtr |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CIntPtr -> CIntPtr -> Bool # (/=) :: CIntPtr -> CIntPtr -> Bool #
Eq CLLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CLLong -> CLLong -> Bool # (/=) :: CLLong -> CLLong -> Bool #
Eq CLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CLong -> CLong -> Bool # (/=) :: CLong -> CLong -> Bool #
Eq CPtrdiff |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CPtrdiff -> CPtrdiff -> Bool # (/=) :: CPtrdiff -> CPtrdiff -> Bool #
Eq CSChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CSChar -> CSChar -> Bool # (/=) :: CSChar -> CSChar -> Bool #
Eq CSUSeconds |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CSUSeconds -> CSUSeconds -> Bool # (/=) :: CSUSeconds -> CSUSeconds -> Bool #
Eq CShort |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CShort -> CShort -> Bool # (/=) :: CShort -> CShort -> Bool #
Eq CSigAtomic |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CSigAtomic -> CSigAtomic -> Bool # (/=) :: CSigAtomic -> CSigAtomic -> Bool #
Eq CSize |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CSize -> CSize -> Bool # (/=) :: CSize -> CSize -> Bool #
Eq CTime |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CTime -> CTime -> Bool # (/=) :: CTime -> CTime -> Bool #
Eq CUChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CUChar -> CUChar -> Bool # (/=) :: CUChar -> CUChar -> Bool #
Eq CUInt |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CUInt -> CUInt -> Bool # (/=) :: CUInt -> CUInt -> Bool #
Eq CUIntMax |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CUIntMax -> CUIntMax -> Bool # (/=) :: CUIntMax -> CUIntMax -> Bool #
Eq CUIntPtr |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CUIntPtr -> CUIntPtr -> Bool # (/=) :: CUIntPtr -> CUIntPtr -> Bool #
Eq CULLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CULLong -> CULLong -> Bool # (/=) :: CULLong -> CULLong -> Bool #
Eq CULong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CULong -> CULong -> Bool # (/=) :: CULong -> CULong -> Bool #
Eq CUSeconds |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CUSeconds -> CUSeconds -> Bool # (/=) :: CUSeconds -> CUSeconds -> Bool #
Eq CUShort |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CUShort -> CUShort -> Bool # (/=) :: CUShort -> CUShort -> Bool #
Eq CWchar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CWchar -> CWchar -> Bool # (/=) :: CWchar -> CWchar -> Bool #
Eq Associativity | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: Associativity -> Associativity -> Bool # (/=) :: Associativity -> Associativity -> Bool #
Eq DecidedStrictness | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: DecidedStrictness -> DecidedStrictness -> Bool # (/=) :: DecidedStrictness -> DecidedStrictness -> Bool #
Eq Fixity | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: Fixity -> Fixity -> Bool # (/=) :: Fixity -> Fixity -> Bool #
Eq SourceStrictness | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: SourceStrictness -> SourceStrictness -> Bool # (/=) :: SourceStrictness -> SourceStrictness -> Bool #
Eq SourceUnpackedness | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: SourceUnpackedness -> SourceUnpackedness -> Bool # (/=) :: SourceUnpackedness -> SourceUnpackedness -> Bool #
Eq MaskingState | @since base-4.3.0.0
Instance details Defined in GHC.Internal.IO Methods (==) :: MaskingState -> MaskingState -> Bool # (/=) :: MaskingState -> MaskingState -> Bool #
Eq ArrayException | @since base-4.2.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods (==) :: ArrayException -> ArrayException -> Bool # (/=) :: ArrayException -> ArrayException -> Bool #
Eq AsyncException | @since base-4.2.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods (==) :: AsyncException -> AsyncException -> Bool # (/=) :: AsyncException -> AsyncException -> Bool #
Eq ExitCode |
Instance details Defined in GHC.Internal.IO.Exception Methods (==) :: ExitCode -> ExitCode -> Bool # (/=) :: ExitCode -> ExitCode -> Bool #
Eq IOErrorType | @since base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods (==) :: IOErrorType -> IOErrorType -> Bool # (/=) :: IOErrorType -> IOErrorType -> Bool #
Eq IOException | @since base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods (==) :: IOException -> IOException -> Bool # (/=) :: IOException -> IOException -> Bool #
Eq BufferMode | @since base-4.2.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods (==) :: BufferMode -> BufferMode -> Bool # (/=) :: BufferMode -> BufferMode -> Bool #
Eq Handle | @since base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods (==) :: Handle -> Handle -> Bool # (/=) :: Handle -> Handle -> Bool #
Eq Newline | @since base-4.2.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods (==) :: Newline -> Newline -> Bool # (/=) :: Newline -> Newline -> Bool #
Eq NewlineMode | @since base-4.2.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods (==) :: NewlineMode -> NewlineMode -> Bool # (/=) :: NewlineMode -> NewlineMode -> Bool #
Eq Int16 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods (==) :: Int16 -> Int16 -> Bool # (/=) :: Int16 -> Int16 -> Bool #
Eq Int32 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods (==) :: Int32 -> Int32 -> Bool # (/=) :: Int32 -> Int32 -> Bool #
Eq Int64 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods (==) :: Int64 -> Int64 -> Bool # (/=) :: Int64 -> Int64 -> Bool #
Eq Int8 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods (==) :: Int8 -> Int8 -> Bool # (/=) :: Int8 -> Int8 -> Bool #
Eq SrcLoc | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Stack.Types Methods (==) :: SrcLoc -> SrcLoc -> Bool # (/=) :: SrcLoc -> SrcLoc -> Bool #
Eq Word16 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods (==) :: Word16 -> Word16 -> Bool # (/=) :: Word16 -> Word16 -> Bool #
Eq Word32 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods (==) :: Word32 -> Word32 -> Bool # (/=) :: Word32 -> Word32 -> Bool #
Eq Word64 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods (==) :: Word64 -> Word64 -> Bool # (/=) :: Word64 -> Word64 -> Bool #
Eq Word8 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods (==) :: Word8 -> Word8 -> Bool # (/=) :: Word8 -> Word8 -> Bool #
Eq Module |
Instance details Defined in GHC.Classes Methods (==) :: Module -> Module -> Bool # (/=) :: Module -> Module -> Bool #
Eq Ordering |
Instance details Defined in GHC.Classes Methods (==) :: Ordering -> Ordering -> Bool # (/=) :: Ordering -> Ordering -> Bool #
Eq TrName |
Instance details Defined in GHC.Classes Methods (==) :: TrName -> TrName -> Bool # (/=) :: TrName -> TrName -> Bool #
Eq TyCon |
Instance details Defined in GHC.Classes Methods (==) :: TyCon -> TyCon -> Bool # (/=) :: TyCon -> TyCon -> Bool #
Eq OsChar | Byte equality of the internal representation.
Instance details Defined in System.OsString.Internal.Types Methods (==) :: OsChar -> OsChar -> Bool # (/=) :: OsChar -> OsChar -> Bool #
Eq OsString | Byte equality of the internal representation.
Instance details Defined in System.OsString.Internal.Types Methods (==) :: OsString -> OsString -> Bool # (/=) :: OsString -> OsString -> Bool #
Eq PosixChar |
Instance details Defined in System.OsString.Internal.Types Methods (==) :: PosixChar -> PosixChar -> Bool # (/=) :: PosixChar -> PosixChar -> Bool #
Eq PosixString |
Instance details Defined in System.OsString.Internal.Types Methods (==) :: PosixString -> PosixString -> Bool # (/=) :: PosixString -> PosixString -> Bool #
Eq WindowsChar |
Instance details Defined in System.OsString.Internal.Types Methods (==) :: WindowsChar -> WindowsChar -> Bool # (/=) :: WindowsChar -> WindowsChar -> Bool #
Eq WindowsString |
Instance details Defined in System.OsString.Internal.Types Methods (==) :: WindowsString -> WindowsString -> Bool # (/=) :: WindowsString -> WindowsString -> Bool #
Eq Mode |
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods (==) :: Mode -> Mode -> Bool # (/=) :: Mode -> Mode -> Bool #
Eq Style |
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods (==) :: Style -> Style -> Bool # (/=) :: Style -> Style -> Bool #
Eq TextDetails |
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods (==) :: TextDetails -> TextDetails -> Bool # (/=) :: TextDetails -> TextDetails -> Bool #
Eq Doc |
Instance details Defined in Text.PrettyPrint.HughesPJ Methods (==) :: Doc -> Doc -> Bool # (/=) :: Doc -> Doc -> Bool #
Eq UnicodeException |
Instance details Defined in Data.Text.Encoding.Error Methods (==) :: UnicodeException -> UnicodeException -> Bool # (/=) :: UnicodeException -> UnicodeException -> Bool #
Eq I8 |
Instance details Defined in Data.Text.Foreign Methods (==) :: I8 -> I8 -> Bool # (/=) :: I8 -> I8 -> Bool #
Eq Builder |
Instance details Defined in Data.Text.Internal.Builder Methods (==) :: Builder -> Builder -> Bool # (/=) :: Builder -> Builder -> Bool #
Eq PartialUtf8CodePoint |
Instance details Defined in Data.Text.Internal.Encoding Methods (==) :: PartialUtf8CodePoint -> PartialUtf8CodePoint -> Bool # (/=) :: PartialUtf8CodePoint -> PartialUtf8CodePoint -> Bool #
Eq Utf8State |
Instance details Defined in Data.Text.Internal.Encoding Methods (==) :: Utf8State -> Utf8State -> Bool # (/=) :: Utf8State -> Utf8State -> Bool #
Eq DecoderState |
Instance details Defined in Data.Text.Internal.Encoding.Utf8 Methods (==) :: DecoderState -> DecoderState -> Bool # (/=) :: DecoderState -> DecoderState -> Bool #
Eq Size |
Instance details Defined in Data.Text.Internal.Fusion.Size Methods (==) :: Size -> Size -> Bool # (/=) :: Size -> Size -> Bool #
Eq SubHashPath |
Instance details Defined in Data.HashMap.Internal.Debug Methods (==) :: SubHashPath -> SubHashPath -> Bool # (/=) :: SubHashPath -> SubHashPath -> Bool #
Eq Size |
Instance details Defined in Data.Vector.Fusion.Bundle.Size Methods (==) :: Size -> Size -> Bool # (/=) :: Size -> Size -> Bool #
Eq Checks |
Instance details Defined in Data.Vector.Internal.Check Methods (==) :: Checks -> Checks -> Bool # (/=) :: Checks -> Checks -> Bool #
Eq Integer |
Instance details Defined in GHC.Num.Integer Methods (==) :: Integer -> Integer -> Bool # (/=) :: Integer -> Integer -> Bool #
Eq Natural |
Instance details Defined in GHC.Num.Natural Methods (==) :: Natural -> Natural -> Bool # (/=) :: Natural -> Natural -> Bool #
Eq () |
Instance details Defined in GHC.Classes Methods (==) :: () -> () -> Bool # (/=) :: () -> () -> Bool #
Eq Bool |
Instance details Defined in GHC.Classes Methods (==) :: Bool -> Bool -> Bool # (/=) :: Bool -> Bool -> Bool #
Eq Char |
Instance details Defined in GHC.Classes Methods (==) :: Char -> Char -> Bool # (/=) :: Char -> Char -> Bool #
Eq Double | Note that due to the presence of `NaN`, `Double`'s `Eq` instance does not satisfy reflexivity.
    >>> 0/0 == (0/0 :: Double)
    False
Also note that `Double`'s `Eq` instance does not satisfy substitutivity:
    >>> 0 == (-0 :: Double)
    True
    >>> recip 0 == recip (-0 :: Double)
    False
Instance details Defined in GHC.Classes Methods (==) :: Double -> Double -> Bool # (/=) :: Double -> Double -> Bool #
Eq Float | Note that due to the presence of `NaN`, `Float`'s `Eq` instance does not satisfy reflexivity.
    >>> 0/0 == (0/0 :: Float)
    False
Also note that `Float`'s `Eq` instance does not satisfy extensionality:
    >>> 0 == (-0 :: Float)
    True
    >>> recip 0 == recip (-0 :: Float)
    False
Instance details Defined in GHC.Classes Methods (==) :: Float -> Float -> Bool # (/=) :: Float -> Float -> Bool #
Eq Int |
Instance details Defined in GHC.Classes Methods (==) :: Int -> Int -> Bool # (/=) :: Int -> Int -> Bool #
Eq Word |
Instance details Defined in GHC.Classes Methods (==) :: Word -> Word -> Bool # (/=) :: Word -> Word -> Bool #
Eq (Chan a) | Since: base-4.4.0.0
Instance details Defined in Control.Concurrent.Chan Methods (==) :: Chan a -> Chan a -> Bool # (/=) :: Chan a -> Chan a -> Bool #
Eq (MutableByteArray s) | Since: base-4.17.0.0
Instance details Defined in Data.Array.Byte Methods (==) :: MutableByteArray s -> MutableByteArray s -> Bool # (/=) :: MutableByteArray s -> MutableByteArray s -> Bool #
Eq a => Eq (Complex a) | Since: base-2.1
Instance details Defined in Data.Complex Methods (==) :: Complex a -> Complex a -> Bool # (/=) :: Complex a -> Complex a -> Bool #
Eq a => Eq (First a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (==) :: First a -> First a -> Bool # (/=) :: First a -> First a -> Bool #
Eq a => Eq (Last a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (==) :: Last a -> Last a -> Bool # (/=) :: Last a -> Last a -> Bool #
Eq a => Eq (Max a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (==) :: Max a -> Max a -> Bool # (/=) :: Max a -> Max a -> Bool #
Eq a => Eq (Min a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (==) :: Min a -> Min a -> Bool # (/=) :: Min a -> Min a -> Bool #
Eq m => Eq (WrappedMonoid m) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (==) :: WrappedMonoid m -> WrappedMonoid m -> Bool # (/=) :: WrappedMonoid m -> WrappedMonoid m -> Bool #
Eq vertex => Eq (SCC vertex) | Since: containers-0.5.9
Instance details Defined in Data.Graph Methods (==) :: SCC vertex -> SCC vertex -> Bool # (/=) :: SCC vertex -> SCC vertex -> Bool #
Eq a => Eq (IntMap a) |
Instance details Defined in Data.IntMap.Internal Methods (==) :: IntMap a -> IntMap a -> Bool # (/=) :: IntMap a -> IntMap a -> Bool #
Eq a => Eq (Seq a) |
Instance details Defined in Data.Sequence.Internal Methods (==) :: Seq a -> Seq a -> Bool # (/=) :: Seq a -> Seq a -> Bool #
Eq a => Eq (ViewL a) |
Instance details Defined in Data.Sequence.Internal Methods (==) :: ViewL a -> ViewL a -> Bool # (/=) :: ViewL a -> ViewL a -> Bool #
Eq a => Eq (ViewR a) |
Instance details Defined in Data.Sequence.Internal Methods (==) :: ViewR a -> ViewR a -> Bool # (/=) :: ViewR a -> ViewR a -> Bool #
Eq a => Eq (Intersection a) |
Instance details Defined in Data.Set.Internal Methods (==) :: Intersection a -> Intersection a -> Bool # (/=) :: Intersection a -> Intersection a -> Bool #
Eq a => Eq (Set a) |
Instance details Defined in Data.Set.Internal Methods (==) :: Set a -> Set a -> Bool # (/=) :: Set a -> Set a -> Bool #
Eq a => Eq (Tree a) |
Instance details Defined in Data.Tree Methods (==) :: Tree a -> Tree a -> Bool # (/=) :: Tree a -> Tree a -> Bool #
Eq a => Eq (NonEmpty a) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods (==) :: NonEmpty a -> NonEmpty a -> Bool # (/=) :: NonEmpty a -> NonEmpty a -> Bool #
Eq a => Eq (Down a) | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods (==) :: Down a -> Down a -> Bool # (/=) :: Down a -> Down a -> Bool #
Eq p => Eq (Par1 p) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: Par1 p -> Par1 p -> Bool # (/=) :: Par1 p -> Par1 p -> Bool #
Eq a => Eq (Ratio a) | @since base-2.01
Instance details Defined in GHC.Internal.Real Methods (==) :: Ratio a -> Ratio a -> Bool # (/=) :: Ratio a -> Ratio a -> Bool #
Eq a => Eq (Hashed a) | Uses precomputed hash to detect inequality faster
Instance details Defined in Data.Hashable.Class Methods (==) :: Hashed a -> Hashed a -> Bool # (/=) :: Hashed a -> Hashed a -> Bool #
Eq a => Eq (AnnotDetails a) |
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods (==) :: AnnotDetails a -> AnnotDetails a -> Bool # (/=) :: AnnotDetails a -> AnnotDetails a -> Bool #
Eq (Doc a) |
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods (==) :: Doc a -> Doc a -> Bool # (/=) :: Doc a -> Doc a -> Bool #
Eq a => Eq (Span a) |
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods (==) :: Span a -> Span a -> Bool # (/=) :: Span a -> Span a -> Bool #
Eq a => Eq (Array a) |
Instance details Defined in Data.Primitive.Array Methods (==) :: Array a -> Array a -> Bool # (/=) :: Array a -> Array a -> Bool #
(Eq a, Prim a) => Eq (PrimArray a) | Since: primitive-0.6.4.0
Instance details Defined in Data.Primitive.PrimArray Methods (==) :: PrimArray a -> PrimArray a -> Bool # (/=) :: PrimArray a -> PrimArray a -> Bool #
Eq a => Eq (SmallArray a) |
Instance details Defined in Data.Primitive.SmallArray Methods (==) :: SmallArray a -> SmallArray a -> Bool # (/=) :: SmallArray a -> SmallArray a -> Bool #
Eq a => Eq (Stream a) |
Instance details Defined in Data.Text.Internal.Fusion.Types Methods (==) :: Stream a -> Stream a -> Bool # (/=) :: Stream a -> Stream a -> Bool #
Eq k => Eq (Error k) |
Instance details Defined in Data.HashMap.Internal.Debug Methods (==) :: Error k -> Error k -> Bool # (/=) :: Error k -> Error k -> Bool #
Eq k => Eq (Validity k) |
Instance details Defined in Data.HashMap.Internal.Debug Methods (==) :: Validity k -> Validity k -> Bool # (/=) :: Validity k -> Validity k -> Bool #
Eq a => Eq (HashSet a) | Note that, in the presence of hash collisions, equal `HashSet`s may behave differently, i.e. extensionality may be violated:
    >>> data D = A | B deriving (Eq, Show)
    >>> instance Hashable D where hashWithSalt salt _d = salt
    >>> x = fromList [A, B]
    >>> y = fromList [B, A]
    >>> x == y
    True
    >>> toList x
    [A,B]
    >>> toList y
    [B,A]
In general, the lack of extensionality can be observed with any function that depends on the key ordering, such as folds and traversals.
Instance details Defined in Data.HashSet.Internal Methods (==) :: HashSet a -> HashSet a -> Bool # (/=) :: HashSet a -> HashSet a -> Bool #
Eq a => Eq (Vector a) |
Instance details Defined in Data.Vector Methods (==) :: Vector a -> Vector a -> Bool # (/=) :: Vector a -> Vector a -> Bool #
(Prim a, Eq a) => Eq (Vector a) |
Instance details Defined in Data.Vector.Primitive Methods (==) :: Vector a -> Vector a -> Bool # (/=) :: Vector a -> Vector a -> Bool #
(Storable a, Eq a) => Eq (Vector a) |
Instance details Defined in Data.Vector.Storable Methods (==) :: Vector a -> Vector a -> Bool # (/=) :: Vector a -> Vector a -> Bool #
Eq a => Eq (Vector a) |
Instance details Defined in Data.Vector.Strict Methods (==) :: Vector a -> Vector a -> Bool # (/=) :: Vector a -> Vector a -> Bool #
Eq a => Eq (Maybe a) | @since base-2.01
Instance details Defined in GHC.Internal.Maybe Methods (==) :: Maybe a -> Maybe a -> Bool # (/=) :: Maybe a -> Maybe a -> Bool #
Eq a => Eq (Solo a) |
Instance details Defined in GHC.Classes Methods (==) :: Solo a -> Solo a -> Bool # (/=) :: Solo a -> Solo a -> Bool #
Eq a => Eq [a] |
Instance details Defined in GHC.Classes Methods (==) :: [a] -> [a] -> Bool # (/=) :: [a] -> [a] -> Bool #
Eq (Fixed a) | Since: base-2.1
Instance details Defined in Data.Fixed Methods (==) :: Fixed a -> Fixed a -> Bool # (/=) :: Fixed a -> Fixed a -> Bool #
Eq a => Eq (Arg a b) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (==) :: Arg a b -> Arg a b -> Bool # (/=) :: Arg a b -> Arg a b -> Bool #
(Eq k, Eq a) => Eq (Map k a) |
Instance details Defined in Data.Map.Internal Methods (==) :: Map k a -> Map k a -> Bool # (/=) :: Map k a -> Map k a -> Bool #
(Eq a, Eq b) => Eq (Either a b) | @since base-2.01
Instance details Defined in GHC.Internal.Data.Either Methods (==) :: Either a b -> Either a b -> Bool # (/=) :: Either a b -> Either a b -> Bool #
Eq (TypeRep a) | @since base-2.01
Instance details Defined in GHC.Internal.Data.Typeable.Internal Methods (==) :: TypeRep a -> TypeRep a -> Bool # (/=) :: TypeRep a -> TypeRep a -> Bool #
Eq (U1 p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: U1 p -> U1 p -> Bool # (/=) :: U1 p -> U1 p -> Bool #
Eq (V1 p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: V1 p -> V1 p -> Bool # (/=) :: V1 p -> V1 p -> Bool #
Eq (MutableArray s a) |
Instance details Defined in Data.Primitive.Array Methods (==) :: MutableArray s a -> MutableArray s a -> Bool # (/=) :: MutableArray s a -> MutableArray s a -> Bool #
Eq (MutablePrimArray s a) |
Instance details Defined in Data.Primitive.PrimArray Methods (==) :: MutablePrimArray s a -> MutablePrimArray s a -> Bool # (/=) :: MutablePrimArray s a -> MutablePrimArray s a -> Bool #
Eq (SmallMutableArray s a) |
Instance details Defined in Data.Primitive.SmallArray Methods (==) :: SmallMutableArray s a -> SmallMutableArray s a -> Bool # (/=) :: SmallMutableArray s a -> SmallMutableArray s a -> Bool #
(Eq1 f, Eq a) => Eq (Lift f a) |
Instance details Defined in Control.Applicative.Lift Methods (==) :: Lift f a -> Lift f a -> Bool # (/=) :: Lift f a -> Lift f a -> Bool #
(Eq1 m, Eq a) => Eq (MaybeT m a) |
Instance details Defined in Control.Monad.Trans.Maybe Methods (==) :: MaybeT m a -> MaybeT m a -> Bool # (/=) :: MaybeT m a -> MaybeT m a -> Bool #
(Eq k, Eq v) => Eq (HashMap k v) | Note that, in the presence of hash collisions, equal `HashMap`s may behave differently, i.e. extensionality may be violated:
    >>> data D = A | B deriving (Eq, Show)
    >>> instance Hashable D where hashWithSalt salt _d = salt
    >>> x = fromList [(A,1), (B,2)]
    >>> y = fromList [(B,2), (A,1)]
    >>> x == y
    True
    >>> toList x
    [(A,1),(B,2)]
    >>> toList y
    [(B,2),(A,1)]
In general, the lack of extensionality can be observed with any function that depends on the key ordering, such as folds and traversals.
Instance details Defined in Data.HashMap.Internal Methods (==) :: HashMap k v -> HashMap k v -> Bool # (/=) :: HashMap k v -> HashMap k v -> Bool #
(Eq k, Eq v) => Eq (Leaf k v) |
Instance details Defined in Data.HashMap.Internal Methods (==) :: Leaf k v -> Leaf k v -> Bool # (/=) :: Leaf k v -> Leaf k v -> Bool #
(Eq a, Eq b) => Eq (a, b) |
Instance details Defined in GHC.Classes Methods (==) :: (a, b) -> (a, b) -> Bool # (/=) :: (a, b) -> (a, b) -> Bool #
(Generic1 f, Eq (Rep1 f a)) => Eq (Generically1 f a) | @since base-4.18.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: Generically1 f a -> Generically1 f a -> Bool # (/=) :: Generically1 f a -> Generically1 f a -> Bool #
Eq (f p) => Eq (Rec1 f p) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: Rec1 f p -> Rec1 f p -> Bool # (/=) :: Rec1 f p -> Rec1 f p -> Bool #
Eq (URec (Ptr ()) p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool # (/=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool #
Eq (URec Char p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: URec Char p -> URec Char p -> Bool # (/=) :: URec Char p -> URec Char p -> Bool #
Eq (URec Double p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: URec Double p -> URec Double p -> Bool # (/=) :: URec Double p -> URec Double p -> Bool #
Eq (URec Float p) |
Instance details Defined in GHC.Internal.Generics Methods (==) :: URec Float p -> URec Float p -> Bool # (/=) :: URec Float p -> URec Float p -> Bool #
Eq (URec Int p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: URec Int p -> URec Int p -> Bool # (/=) :: URec Int p -> URec Int p -> Bool #
Eq (URec Word p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: URec Word p -> URec Word p -> Bool # (/=) :: URec Word p -> URec Word p -> Bool #
(Eq1 f, Eq a) => Eq (Backwards f a) |
Instance details Defined in Control.Applicative.Backwards Methods (==) :: Backwards f a -> Backwards f a -> Bool # (/=) :: Backwards f a -> Backwards f a -> Bool #
(Eq e, Eq1 m, Eq a) => Eq (ExceptT e m a) |
Instance details Defined in Control.Monad.Trans.Except Methods (==) :: ExceptT e m a -> ExceptT e m a -> Bool # (/=) :: ExceptT e m a -> ExceptT e m a -> Bool #
(Eq1 f, Eq a) => Eq (IdentityT f a) |
Instance details Defined in Control.Monad.Trans.Identity Methods (==) :: IdentityT f a -> IdentityT f a -> Bool # (/=) :: IdentityT f a -> IdentityT f a -> Bool #
(Eq w, Eq1 m, Eq a) => Eq (WriterT w m a) |
Instance details Defined in Control.Monad.Trans.Writer.Lazy Methods (==) :: WriterT w m a -> WriterT w m a -> Bool # (/=) :: WriterT w m a -> WriterT w m a -> Bool #
(Eq w, Eq1 m, Eq a) => Eq (WriterT w m a) |
Instance details Defined in Control.Monad.Trans.Writer.Strict Methods (==) :: WriterT w m a -> WriterT w m a -> Bool # (/=) :: WriterT w m a -> WriterT w m a -> Bool #
Eq a => Eq (Constant a b) |
Instance details Defined in Data.Functor.Constant Methods (==) :: Constant a b -> Constant a b -> Bool # (/=) :: Constant a b -> Constant a b -> Bool #
(Eq1 f, Eq a) => Eq (Reverse f a) |
Instance details Defined in Data.Functor.Reverse Methods (==) :: Reverse f a -> Reverse f a -> Bool # (/=) :: Reverse f a -> Reverse f a -> Bool #
(Eq a, Eq b, Eq c) => Eq (a, b, c) |
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c) -> (a, b, c) -> Bool # (/=) :: (a, b, c) -> (a, b, c) -> Bool #
(Eq (f a), Eq (g a)) => Eq (Product f g a) | Since: base-4.18.0.0
Instance details Defined in Data.Functor.Product Methods (==) :: Product f g a -> Product f g a -> Bool # (/=) :: Product f g a -> Product f g a -> Bool #
(Eq (f a), Eq (g a)) => Eq (Sum f g a) | Since: base-4.18.0.0
Instance details Defined in Data.Functor.Sum Methods (==) :: Sum f g a -> Sum f g a -> Bool # (/=) :: Sum f g a -> Sum f g a -> Bool #
(Eq (f p), Eq (g p)) => Eq ((f :*: g) p) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: (f :*: g) p -> (f :*: g) p -> Bool # (/=) :: (f :*: g) p -> (f :*: g) p -> Bool #
(Eq (f p), Eq (g p)) => Eq ((f :+: g) p) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: (f :+: g) p -> (f :+: g) p -> Bool # (/=) :: (f :+: g) p -> (f :+: g) p -> Bool #
Eq c => Eq (K1 i c p) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: K1 i c p -> K1 i c p -> Bool # (/=) :: K1 i c p -> K1 i c p -> Bool #
(Eq a, Eq b, Eq c, Eq d) => Eq (a, b, c, d) |
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d) -> (a, b, c, d) -> Bool # (/=) :: (a, b, c, d) -> (a, b, c, d) -> Bool #
Eq (f (g a)) => Eq (Compose f g a) | Since: base-4.18.0.0
Instance details Defined in Data.Functor.Compose Methods (==) :: Compose f g a -> Compose f g a -> Bool # (/=) :: Compose f g a -> Compose f g a -> Bool #
Eq (f (g p)) => Eq ((f :.: g) p) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: (f :.: g) p -> (f :.: g) p -> Bool # (/=) :: (f :.: g) p -> (f :.: g) p -> Bool #
Eq (f p) => Eq (M1 i c f p) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: M1 i c f p -> M1 i c f p -> Bool # (/=) :: M1 i c f p -> M1 i c f p -> Bool #
(Eq a, Eq b, Eq c, Eq d, Eq e) => Eq (a, b, c, d, e) |
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool # (/=) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f) => Eq (a, b, c, d, e, f) |
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool # (/=) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g) => Eq (a, b, c, d, e, f, g) |
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool # (/=) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h) => Eq (a, b, c, d, e, f, g, h) |
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool # (/=) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i) => Eq (a, b, c, d, e, f, g, h, i) |
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool # (/=) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j) => Eq (a, b, c, d, e, f, g, h, i, j) |
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool # (/=) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j, Eq k) => Eq (a, b, c, d, e, f, g, h, i, j, k) |
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool # (/=) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j, Eq k, Eq l) => Eq (a, b, c, d, e, f, g, h, i, j, k, l) |
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool # (/=) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j, Eq k, Eq l, Eq m) => Eq (a, b, c, d, e, f, g, h, i, j, k, l, m) |
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool # (/=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j, Eq k, Eq l, Eq m, Eq n) => Eq (a, b, c, d, e, f, g, h, i, j, k, l, m, n) |
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool # (/=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j, Eq k, Eq l, Eq m, Eq n, Eq o) => Eq (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) |
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool # (/=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool #

class Bounded a where #

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

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

Methods

minBound :: a #

maxBound :: a #

#### Instances

Instances details

Bounded CBool |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CBool # maxBound :: CBool #
Bounded CChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CChar # maxBound :: CChar #
Bounded CInt |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CInt # maxBound :: CInt #
Bounded CIntMax |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CIntMax # maxBound :: CIntMax #
Bounded CIntPtr |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CIntPtr # maxBound :: CIntPtr #
Bounded CLLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CLLong # maxBound :: CLLong #
Bounded CLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CLong # maxBound :: CLong #
Bounded CPtrdiff |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CPtrdiff # maxBound :: CPtrdiff #
Bounded CSChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CSChar # maxBound :: CSChar #
Bounded CShort |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CShort # maxBound :: CShort #
Bounded CSigAtomic |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CSigAtomic # maxBound :: CSigAtomic #
Bounded CSize |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CSize # maxBound :: CSize #
Bounded CUChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CUChar # maxBound :: CUChar #
Bounded CUInt |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CUInt # maxBound :: CUInt #
Bounded CUIntMax |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CUIntMax # maxBound :: CUIntMax #
Bounded CUIntPtr |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CUIntPtr # maxBound :: CUIntPtr #
Bounded CULLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CULLong # maxBound :: CULLong #
Bounded CULong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CULong # maxBound :: CULong #
Bounded CUShort |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CUShort # maxBound :: CUShort #
Bounded CWchar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CWchar # maxBound :: CWchar #
Bounded Associativity | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods minBound :: Associativity # maxBound :: Associativity #
Bounded DecidedStrictness | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods minBound :: DecidedStrictness # maxBound :: DecidedStrictness #
Bounded SourceStrictness | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods minBound :: SourceStrictness # maxBound :: SourceStrictness #
Bounded SourceUnpackedness | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods minBound :: SourceUnpackedness # maxBound :: SourceUnpackedness #
Bounded Int16 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods minBound :: Int16 # maxBound :: Int16 #
Bounded Int32 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods minBound :: Int32 # maxBound :: Int32 #
Bounded Int64 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods minBound :: Int64 # maxBound :: Int64 #
Bounded Int8 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods minBound :: Int8 # maxBound :: Int8 #
Bounded Word16 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods minBound :: Word16 # maxBound :: Word16 #
Bounded Word32 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods minBound :: Word32 # maxBound :: Word32 #
Bounded Word64 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods minBound :: Word64 # maxBound :: Word64 #
Bounded Word8 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods minBound :: Word8 # maxBound :: Word8 #
Bounded Ordering | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods minBound :: Ordering # maxBound :: Ordering #
Bounded I8 |
Instance details Defined in Data.Text.Foreign Methods minBound :: I8 # maxBound :: I8 #
Bounded FPFormat |
Instance details Defined in Data.Text.Lazy.Builder.RealFloat Methods minBound :: FPFormat # maxBound :: FPFormat #
Bounded () | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods minBound :: () # maxBound :: () #
Bounded Bool | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods minBound :: Bool # maxBound :: Bool #
Bounded Char | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods minBound :: Char # maxBound :: Char #
Bounded Int | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods minBound :: Int # maxBound :: Int #
Bounded Levity | @since base-4.16.0.0
Instance details Defined in GHC.Internal.Enum Methods minBound :: Levity # maxBound :: Levity #
Bounded VecCount | @since base-4.10.0.0
Instance details Defined in GHC.Internal.Enum Methods minBound :: VecCount # maxBound :: VecCount #
Bounded VecElem | @since base-4.10.0.0
Instance details Defined in GHC.Internal.Enum Methods minBound :: VecElem # maxBound :: VecElem #
Bounded Word | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods minBound :: Word # maxBound :: Word #
Bounded a => Bounded (First a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods minBound :: First a # maxBound :: First a #
Bounded a => Bounded (Last a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods minBound :: Last a # maxBound :: Last a #
Bounded a => Bounded (Max a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods minBound :: Max a # maxBound :: Max a #
Bounded a => Bounded (Min a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods minBound :: Min a # maxBound :: Min a #
Bounded m => Bounded (WrappedMonoid m) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods minBound :: WrappedMonoid m # maxBound :: WrappedMonoid m #
Bounded a => Bounded (Down a) | Swaps ``minBound`` and ``maxBound`` of the underlying type. @since base-4.14.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods minBound :: Down a # maxBound :: Down a #
Bounded a => Bounded (Solo a) |
Instance details Defined in GHC.Internal.Enum Methods minBound :: Solo a # maxBound :: Solo a #
(Bounded a, Bounded b) => Bounded (a, b) | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods minBound :: (a, b) # maxBound :: (a, b) #
(Bounded a, Bounded b, Bounded c) => Bounded (a, b, c) | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods minBound :: (a, b, c) # maxBound :: (a, b, c) #
(Bounded a, Bounded b, Bounded c, Bounded d) => Bounded (a, b, c, d) | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods minBound :: (a, b, c, d) # maxBound :: (a, b, c, d) #
Bounded (f (g a)) => Bounded (Compose f g a) | Since: base-4.19.0.0
Instance details Defined in Data.Functor.Compose Methods minBound :: Compose f g a # maxBound :: Compose f g a #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e) => Bounded (a, b, c, d, e) | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods minBound :: (a, b, c, d, e) # maxBound :: (a, b, c, d, e) #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f) => Bounded (a, b, c, d, e, f) | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods minBound :: (a, b, c, d, e, f) # maxBound :: (a, b, c, d, e, f) #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g) => Bounded (a, b, c, d, e, f, g) | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods minBound :: (a, b, c, d, e, f, g) # maxBound :: (a, b, c, d, e, f, g) #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h) => Bounded (a, b, c, d, e, f, g, h) | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods minBound :: (a, b, c, d, e, f, g, h) # maxBound :: (a, b, c, d, e, f, g, h) #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i) => Bounded (a, b, c, d, e, f, g, h, i) | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods minBound :: (a, b, c, d, e, f, g, h, i) # maxBound :: (a, b, c, d, e, f, g, h, i) #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j) => Bounded (a, b, c, d, e, f, g, h, i, j) | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods minBound :: (a, b, c, d, e, f, g, h, i, j) # maxBound :: (a, b, c, d, e, f, g, h, i, j) #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k) => Bounded (a, b, c, d, e, f, g, h, i, j, k) | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods minBound :: (a, b, c, d, e, f, g, h, i, j, k) # maxBound :: (a, b, c, d, e, f, g, h, i, j, k) #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k, Bounded l) => Bounded (a, b, c, d, e, f, g, h, i, j, k, l) | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods minBound :: (a, b, c, d, e, f, g, h, i, j, k, l) # maxBound :: (a, b, c, d, e, f, g, h, i, j, k, l) #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k, Bounded l, Bounded m) => Bounded (a, b, c, d, e, f, g, h, i, j, k, l, m) | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods minBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m) # maxBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m) #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k, Bounded l, Bounded m, Bounded n) => Bounded (a, b, c, d, e, f, g, h, i, j, k, l, m, n) | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods minBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) # maxBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k, Bounded l, Bounded m, Bounded n, Bounded o) => Bounded (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods minBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) # maxBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) #

class Enum a where #

Class `Enum` defines operations on sequentially ordered types.

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

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

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

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

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

Minimal complete definition

toEnum, fromEnum

Methods

succ :: a -> a #

Successor of a value. For numeric types, `succ` adds 1.

pred :: a -> a #

Predecessor of a value. For numeric types, `pred` subtracts 1.

toEnum :: Int -> a #

Convert from an `Int`.

fromEnum :: a -> Int #

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

enumFrom :: a -> [a] #

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

#### Examples

Expand

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

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

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

Used in Haskell's translation of `[n,n'..]` with `[n,n'..] = enumFromThen n n'`, a possible implementation being `enumFromThen n n' = n : n' : worker (f x) (f x n')`, `worker s v = v : worker s (s v)`, `x = fromEnum n' - fromEnum n` and

      f n y
        | n > 0 = f (n - 1) (succ y)
        | n < 0 = f (n + 1) (pred y)
        | otherwise = y

#### Examples

Expand

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

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

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

Used in Haskell's translation of `[n..m]` with `[n..m] = enumFromTo n m`, a possible implementation being

      enumFromTo n m
         | n <= m = n : enumFromTo (succ n) m
         | otherwise = []

#### Examples

Expand

-     enumFromTo 6 10 :: [Int] = [6,7,8,9,10]

-     enumFromTo 42 1 :: [Integer] = []

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

Used in Haskell's translation of `[n,n'..m]` with `[n,n'..m] = enumFromThenTo n n' m`, a possible implementation being `enumFromThenTo n n' m = worker (f x) (c x) n m`, `x = fromEnum n' - fromEnum n`, `c x = bool (>=) ((x 0)`

      f n y
         | n > 0 = f (n - 1) (succ y)
         | n < 0 = f (n + 1) (pred y)
         | otherwise = y

and

      worker s c v m
         | c v m = v : worker s c (s v) m
         | otherwise = []

#### Examples

Expand

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

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

#### Instances

Instances details

Enum CBool |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CBool -> CBool # pred :: CBool -> CBool # toEnum :: Int -> CBool # fromEnum :: CBool -> Int # enumFrom :: CBool -> [CBool] # enumFromThen :: CBool -> CBool -> [CBool] # enumFromTo :: CBool -> CBool -> [CBool] # enumFromThenTo :: CBool -> CBool -> CBool -> [CBool] #
Enum CChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CChar -> CChar # pred :: CChar -> CChar # toEnum :: Int -> CChar # fromEnum :: CChar -> Int # enumFrom :: CChar -> [CChar] # enumFromThen :: CChar -> CChar -> [CChar] # enumFromTo :: CChar -> CChar -> [CChar] # enumFromThenTo :: CChar -> CChar -> CChar -> [CChar] #
Enum CClock |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CClock -> CClock # pred :: CClock -> CClock # toEnum :: Int -> CClock # fromEnum :: CClock -> Int # enumFrom :: CClock -> [CClock] # enumFromThen :: CClock -> CClock -> [CClock] # enumFromTo :: CClock -> CClock -> [CClock] # enumFromThenTo :: CClock -> CClock -> CClock -> [CClock] #
Enum CDouble |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CDouble -> CDouble # pred :: CDouble -> CDouble # toEnum :: Int -> CDouble # fromEnum :: CDouble -> Int # enumFrom :: CDouble -> [CDouble] # enumFromThen :: CDouble -> CDouble -> [CDouble] # enumFromTo :: CDouble -> CDouble -> [CDouble] # enumFromThenTo :: CDouble -> CDouble -> CDouble -> [CDouble] #
Enum CFloat |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CFloat -> CFloat # pred :: CFloat -> CFloat # toEnum :: Int -> CFloat # fromEnum :: CFloat -> Int # enumFrom :: CFloat -> [CFloat] # enumFromThen :: CFloat -> CFloat -> [CFloat] # enumFromTo :: CFloat -> CFloat -> [CFloat] # enumFromThenTo :: CFloat -> CFloat -> CFloat -> [CFloat] #
Enum CInt |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CInt -> CInt # pred :: CInt -> CInt # toEnum :: Int -> CInt # fromEnum :: CInt -> Int # enumFrom :: CInt -> [CInt] # enumFromThen :: CInt -> CInt -> [CInt] # enumFromTo :: CInt -> CInt -> [CInt] # enumFromThenTo :: CInt -> CInt -> CInt -> [CInt] #
Enum CIntMax |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CIntMax -> CIntMax # pred :: CIntMax -> CIntMax # toEnum :: Int -> CIntMax # fromEnum :: CIntMax -> Int # enumFrom :: CIntMax -> [CIntMax] # enumFromThen :: CIntMax -> CIntMax -> [CIntMax] # enumFromTo :: CIntMax -> CIntMax -> [CIntMax] # enumFromThenTo :: CIntMax -> CIntMax -> CIntMax -> [CIntMax] #
Enum CIntPtr |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CIntPtr -> CIntPtr # pred :: CIntPtr -> CIntPtr # toEnum :: Int -> CIntPtr # fromEnum :: CIntPtr -> Int # enumFrom :: CIntPtr -> [CIntPtr] # enumFromThen :: CIntPtr -> CIntPtr -> [CIntPtr] # enumFromTo :: CIntPtr -> CIntPtr -> [CIntPtr] # enumFromThenTo :: CIntPtr -> CIntPtr -> CIntPtr -> [CIntPtr] #
Enum CLLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CLLong -> CLLong # pred :: CLLong -> CLLong # toEnum :: Int -> CLLong # fromEnum :: CLLong -> Int # enumFrom :: CLLong -> [CLLong] # enumFromThen :: CLLong -> CLLong -> [CLLong] # enumFromTo :: CLLong -> CLLong -> [CLLong] # enumFromThenTo :: CLLong -> CLLong -> CLLong -> [CLLong] #
Enum CLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CLong -> CLong # pred :: CLong -> CLong # toEnum :: Int -> CLong # fromEnum :: CLong -> Int # enumFrom :: CLong -> [CLong] # enumFromThen :: CLong -> CLong -> [CLong] # enumFromTo :: CLong -> CLong -> [CLong] # enumFromThenTo :: CLong -> CLong -> CLong -> [CLong] #
Enum CPtrdiff |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CPtrdiff -> CPtrdiff # pred :: CPtrdiff -> CPtrdiff # toEnum :: Int -> CPtrdiff # fromEnum :: CPtrdiff -> Int # enumFrom :: CPtrdiff -> [CPtrdiff] # enumFromThen :: CPtrdiff -> CPtrdiff -> [CPtrdiff] # enumFromTo :: CPtrdiff -> CPtrdiff -> [CPtrdiff] # enumFromThenTo :: CPtrdiff -> CPtrdiff -> CPtrdiff -> [CPtrdiff] #
Enum CSChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CSChar -> CSChar # pred :: CSChar -> CSChar # toEnum :: Int -> CSChar # fromEnum :: CSChar -> Int # enumFrom :: CSChar -> [CSChar] # enumFromThen :: CSChar -> CSChar -> [CSChar] # enumFromTo :: CSChar -> CSChar -> [CSChar] # enumFromThenTo :: CSChar -> CSChar -> CSChar -> [CSChar] #
Enum CSUSeconds |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CSUSeconds -> CSUSeconds # pred :: CSUSeconds -> CSUSeconds # toEnum :: Int -> CSUSeconds # fromEnum :: CSUSeconds -> Int # enumFrom :: CSUSeconds -> [CSUSeconds] # enumFromThen :: CSUSeconds -> CSUSeconds -> [CSUSeconds] # enumFromTo :: CSUSeconds -> CSUSeconds -> [CSUSeconds] # enumFromThenTo :: CSUSeconds -> CSUSeconds -> CSUSeconds -> [CSUSeconds] #
Enum CShort |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CShort -> CShort # pred :: CShort -> CShort # toEnum :: Int -> CShort # fromEnum :: CShort -> Int # enumFrom :: CShort -> [CShort] # enumFromThen :: CShort -> CShort -> [CShort] # enumFromTo :: CShort -> CShort -> [CShort] # enumFromThenTo :: CShort -> CShort -> CShort -> [CShort] #
Enum CSigAtomic |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CSigAtomic -> CSigAtomic # pred :: CSigAtomic -> CSigAtomic # toEnum :: Int -> CSigAtomic # fromEnum :: CSigAtomic -> Int # enumFrom :: CSigAtomic -> [CSigAtomic] # enumFromThen :: CSigAtomic -> CSigAtomic -> [CSigAtomic] # enumFromTo :: CSigAtomic -> CSigAtomic -> [CSigAtomic] # enumFromThenTo :: CSigAtomic -> CSigAtomic -> CSigAtomic -> [CSigAtomic] #
Enum CSize |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CSize -> CSize # pred :: CSize -> CSize # toEnum :: Int -> CSize # fromEnum :: CSize -> Int # enumFrom :: CSize -> [CSize] # enumFromThen :: CSize -> CSize -> [CSize] # enumFromTo :: CSize -> CSize -> [CSize] # enumFromThenTo :: CSize -> CSize -> CSize -> [CSize] #
Enum CTime |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CTime -> CTime # pred :: CTime -> CTime # toEnum :: Int -> CTime # fromEnum :: CTime -> Int # enumFrom :: CTime -> [CTime] # enumFromThen :: CTime -> CTime -> [CTime] # enumFromTo :: CTime -> CTime -> [CTime] # enumFromThenTo :: CTime -> CTime -> CTime -> [CTime] #
Enum CUChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CUChar -> CUChar # pred :: CUChar -> CUChar # toEnum :: Int -> CUChar # fromEnum :: CUChar -> Int # enumFrom :: CUChar -> [CUChar] # enumFromThen :: CUChar -> CUChar -> [CUChar] # enumFromTo :: CUChar -> CUChar -> [CUChar] # enumFromThenTo :: CUChar -> CUChar -> CUChar -> [CUChar] #
Enum CUInt |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CUInt -> CUInt # pred :: CUInt -> CUInt # toEnum :: Int -> CUInt # fromEnum :: CUInt -> Int # enumFrom :: CUInt -> [CUInt] # enumFromThen :: CUInt -> CUInt -> [CUInt] # enumFromTo :: CUInt -> CUInt -> [CUInt] # enumFromThenTo :: CUInt -> CUInt -> CUInt -> [CUInt] #
Enum CUIntMax |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CUIntMax -> CUIntMax # pred :: CUIntMax -> CUIntMax # toEnum :: Int -> CUIntMax # fromEnum :: CUIntMax -> Int # enumFrom :: CUIntMax -> [CUIntMax] # enumFromThen :: CUIntMax -> CUIntMax -> [CUIntMax] # enumFromTo :: CUIntMax -> CUIntMax -> [CUIntMax] # enumFromThenTo :: CUIntMax -> CUIntMax -> CUIntMax -> [CUIntMax] #
Enum CUIntPtr |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CUIntPtr -> CUIntPtr # pred :: CUIntPtr -> CUIntPtr # toEnum :: Int -> CUIntPtr # fromEnum :: CUIntPtr -> Int # enumFrom :: CUIntPtr -> [CUIntPtr] # enumFromThen :: CUIntPtr -> CUIntPtr -> [CUIntPtr] # enumFromTo :: CUIntPtr -> CUIntPtr -> [CUIntPtr] # enumFromThenTo :: CUIntPtr -> CUIntPtr -> CUIntPtr -> [CUIntPtr] #
Enum CULLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CULLong -> CULLong # pred :: CULLong -> CULLong # toEnum :: Int -> CULLong # fromEnum :: CULLong -> Int # enumFrom :: CULLong -> [CULLong] # enumFromThen :: CULLong -> CULLong -> [CULLong] # enumFromTo :: CULLong -> CULLong -> [CULLong] # enumFromThenTo :: CULLong -> CULLong -> CULLong -> [CULLong] #
Enum CULong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CULong -> CULong # pred :: CULong -> CULong # toEnum :: Int -> CULong # fromEnum :: CULong -> Int # enumFrom :: CULong -> [CULong] # enumFromThen :: CULong -> CULong -> [CULong] # enumFromTo :: CULong -> CULong -> [CULong] # enumFromThenTo :: CULong -> CULong -> CULong -> [CULong] #
Enum CUSeconds |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CUSeconds -> CUSeconds # pred :: CUSeconds -> CUSeconds # toEnum :: Int -> CUSeconds # fromEnum :: CUSeconds -> Int # enumFrom :: CUSeconds -> [CUSeconds] # enumFromThen :: CUSeconds -> CUSeconds -> [CUSeconds] # enumFromTo :: CUSeconds -> CUSeconds -> [CUSeconds] # enumFromThenTo :: CUSeconds -> CUSeconds -> CUSeconds -> [CUSeconds] #
Enum CUShort |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CUShort -> CUShort # pred :: CUShort -> CUShort # toEnum :: Int -> CUShort # fromEnum :: CUShort -> Int # enumFrom :: CUShort -> [CUShort] # enumFromThen :: CUShort -> CUShort -> [CUShort] # enumFromTo :: CUShort -> CUShort -> [CUShort] # enumFromThenTo :: CUShort -> CUShort -> CUShort -> [CUShort] #
Enum CWchar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CWchar -> CWchar # pred :: CWchar -> CWchar # toEnum :: Int -> CWchar # fromEnum :: CWchar -> Int # enumFrom :: CWchar -> [CWchar] # enumFromThen :: CWchar -> CWchar -> [CWchar] # enumFromTo :: CWchar -> CWchar -> [CWchar] # enumFromThenTo :: CWchar -> CWchar -> CWchar -> [CWchar] #
Enum Associativity | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods succ :: Associativity -> Associativity # pred :: Associativity -> Associativity # toEnum :: Int -> Associativity # fromEnum :: Associativity -> Int # enumFrom :: Associativity -> [Associativity] # enumFromThen :: Associativity -> Associativity -> [Associativity] # enumFromTo :: Associativity -> Associativity -> [Associativity] # enumFromThenTo :: Associativity -> Associativity -> Associativity -> [Associativity] #
Enum DecidedStrictness | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods succ :: DecidedStrictness -> DecidedStrictness # pred :: DecidedStrictness -> DecidedStrictness # toEnum :: Int -> DecidedStrictness # fromEnum :: DecidedStrictness -> Int # enumFrom :: DecidedStrictness -> [DecidedStrictness] # enumFromThen :: DecidedStrictness -> DecidedStrictness -> [DecidedStrictness] # enumFromTo :: DecidedStrictness -> DecidedStrictness -> [DecidedStrictness] # enumFromThenTo :: DecidedStrictness -> DecidedStrictness -> DecidedStrictness -> [DecidedStrictness] #
Enum SourceStrictness | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods succ :: SourceStrictness -> SourceStrictness # pred :: SourceStrictness -> SourceStrictness # toEnum :: Int -> SourceStrictness # fromEnum :: SourceStrictness -> Int # enumFrom :: SourceStrictness -> [SourceStrictness] # enumFromThen :: SourceStrictness -> SourceStrictness -> [SourceStrictness] # enumFromTo :: SourceStrictness -> SourceStrictness -> [SourceStrictness] # enumFromThenTo :: SourceStrictness -> SourceStrictness -> SourceStrictness -> [SourceStrictness] #
Enum SourceUnpackedness | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods succ :: SourceUnpackedness -> SourceUnpackedness # pred :: SourceUnpackedness -> SourceUnpackedness # toEnum :: Int -> SourceUnpackedness # fromEnum :: SourceUnpackedness -> Int # enumFrom :: SourceUnpackedness -> [SourceUnpackedness] # enumFromThen :: SourceUnpackedness -> SourceUnpackedness -> [SourceUnpackedness] # enumFromTo :: SourceUnpackedness -> SourceUnpackedness -> [SourceUnpackedness] # enumFromThenTo :: SourceUnpackedness -> SourceUnpackedness -> SourceUnpackedness -> [SourceUnpackedness] #
Enum Int16 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods succ :: Int16 -> Int16 # pred :: Int16 -> Int16 # toEnum :: Int -> Int16 # fromEnum :: Int16 -> Int # enumFrom :: Int16 -> [Int16] # enumFromThen :: Int16 -> Int16 -> [Int16] # enumFromTo :: Int16 -> Int16 -> [Int16] # enumFromThenTo :: Int16 -> Int16 -> Int16 -> [Int16] #
Enum Int32 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods succ :: Int32 -> Int32 # pred :: Int32 -> Int32 # toEnum :: Int -> Int32 # fromEnum :: Int32 -> Int # enumFrom :: Int32 -> [Int32] # enumFromThen :: Int32 -> Int32 -> [Int32] # enumFromTo :: Int32 -> Int32 -> [Int32] # enumFromThenTo :: Int32 -> Int32 -> Int32 -> [Int32] #
Enum Int64 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods succ :: Int64 -> Int64 # pred :: Int64 -> Int64 # toEnum :: Int -> Int64 # fromEnum :: Int64 -> Int # enumFrom :: Int64 -> [Int64] # enumFromThen :: Int64 -> Int64 -> [Int64] # enumFromTo :: Int64 -> Int64 -> [Int64] # enumFromThenTo :: Int64 -> Int64 -> Int64 -> [Int64] #
Enum Int8 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods succ :: Int8 -> Int8 # pred :: Int8 -> Int8 # toEnum :: Int -> Int8 # fromEnum :: Int8 -> Int # enumFrom :: Int8 -> [Int8] # enumFromThen :: Int8 -> Int8 -> [Int8] # enumFromTo :: Int8 -> Int8 -> [Int8] # enumFromThenTo :: Int8 -> Int8 -> Int8 -> [Int8] #
Enum Word16 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods succ :: Word16 -> Word16 # pred :: Word16 -> Word16 # toEnum :: Int -> Word16 # fromEnum :: Word16 -> Int # enumFrom :: Word16 -> [Word16] # enumFromThen :: Word16 -> Word16 -> [Word16] # enumFromTo :: Word16 -> Word16 -> [Word16] # enumFromThenTo :: Word16 -> Word16 -> Word16 -> [Word16] #
Enum Word32 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods succ :: Word32 -> Word32 # pred :: Word32 -> Word32 # toEnum :: Int -> Word32 # fromEnum :: Word32 -> Int # enumFrom :: Word32 -> [Word32] # enumFromThen :: Word32 -> Word32 -> [Word32] # enumFromTo :: Word32 -> Word32 -> [Word32] # enumFromThenTo :: Word32 -> Word32 -> Word32 -> [Word32] #
Enum Word64 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods succ :: Word64 -> Word64 # pred :: Word64 -> Word64 # toEnum :: Int -> Word64 # fromEnum :: Word64 -> Int # enumFrom :: Word64 -> [Word64] # enumFromThen :: Word64 -> Word64 -> [Word64] # enumFromTo :: Word64 -> Word64 -> [Word64] # enumFromThenTo :: Word64 -> Word64 -> Word64 -> [Word64] #
Enum Word8 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods succ :: Word8 -> Word8 # pred :: Word8 -> Word8 # toEnum :: Int -> Word8 # fromEnum :: Word8 -> Int # enumFrom :: Word8 -> [Word8] # enumFromThen :: Word8 -> Word8 -> [Word8] # enumFromTo :: Word8 -> Word8 -> [Word8] # enumFromThenTo :: Word8 -> Word8 -> Word8 -> [Word8] #
Enum Ordering | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods succ :: Ordering -> Ordering # pred :: Ordering -> Ordering # toEnum :: Int -> Ordering # fromEnum :: Ordering -> Int # enumFrom :: Ordering -> [Ordering] # enumFromThen :: Ordering -> Ordering -> [Ordering] # enumFromTo :: Ordering -> Ordering -> [Ordering] # enumFromThenTo :: Ordering -> Ordering -> Ordering -> [Ordering] #
Enum I8 |
Instance details Defined in Data.Text.Foreign Methods succ :: I8 -> I8 # pred :: I8 -> I8 # toEnum :: Int -> I8 # fromEnum :: I8 -> Int # enumFrom :: I8 -> [I8] # enumFromThen :: I8 -> I8 -> [I8] # enumFromTo :: I8 -> I8 -> [I8] # enumFromThenTo :: I8 -> I8 -> I8 -> [I8] #
Enum FPFormat |
Instance details Defined in Data.Text.Lazy.Builder.RealFloat Methods succ :: FPFormat -> FPFormat # pred :: FPFormat -> FPFormat # toEnum :: Int -> FPFormat # fromEnum :: FPFormat -> Int # enumFrom :: FPFormat -> [FPFormat] # enumFromThen :: FPFormat -> FPFormat -> [FPFormat] # enumFromTo :: FPFormat -> FPFormat -> [FPFormat] # enumFromThenTo :: FPFormat -> FPFormat -> FPFormat -> [FPFormat] #
Enum Integer | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods succ :: Integer -> Integer # pred :: Integer -> Integer # toEnum :: Int -> Integer # fromEnum :: Integer -> Int # enumFrom :: Integer -> [Integer] # enumFromThen :: Integer -> Integer -> [Integer] # enumFromTo :: Integer -> Integer -> [Integer] # enumFromThenTo :: Integer -> Integer -> Integer -> [Integer] #
Enum Natural | @since base-4.8.0.0
Instance details Defined in GHC.Internal.Enum Methods succ :: Natural -> Natural # pred :: Natural -> Natural # toEnum :: Int -> Natural # fromEnum :: Natural -> Int # enumFrom :: Natural -> [Natural] # enumFromThen :: Natural -> Natural -> [Natural] # enumFromTo :: Natural -> Natural -> [Natural] # enumFromThenTo :: Natural -> Natural -> Natural -> [Natural] #
Enum () | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods succ :: () -> () # pred :: () -> () # toEnum :: Int -> () # fromEnum :: () -> Int # enumFrom :: () -> [()] # enumFromThen :: () -> () -> [()] # enumFromTo :: () -> () -> [()] # enumFromThenTo :: () -> () -> () -> [()] #
Enum Bool | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods succ :: Bool -> Bool # pred :: Bool -> Bool # toEnum :: Int -> Bool # fromEnum :: Bool -> Int # enumFrom :: Bool -> [Bool] # enumFromThen :: Bool -> Bool -> [Bool] # enumFromTo :: Bool -> Bool -> [Bool] # enumFromThenTo :: Bool -> Bool -> Bool -> [Bool] #
Enum Char | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods succ :: Char -> Char # pred :: Char -> Char # toEnum :: Int -> Char # fromEnum :: Char -> Int # enumFrom :: Char -> [Char] # enumFromThen :: Char -> Char -> [Char] # enumFromTo :: Char -> Char -> [Char] # enumFromThenTo :: Char -> Char -> Char -> [Char] #
Enum Int | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods succ :: Int -> Int # pred :: Int -> Int # toEnum :: Int -> Int # fromEnum :: Int -> Int # enumFrom :: Int -> [Int] # enumFromThen :: Int -> Int -> [Int] # enumFromTo :: Int -> Int -> [Int] # enumFromThenTo :: Int -> Int -> Int -> [Int] #
Enum Levity | @since base-4.16.0.0
Instance details Defined in GHC.Internal.Enum Methods succ :: Levity -> Levity # pred :: Levity -> Levity # toEnum :: Int -> Levity # fromEnum :: Levity -> Int # enumFrom :: Levity -> [Levity] # enumFromThen :: Levity -> Levity -> [Levity] # enumFromTo :: Levity -> Levity -> [Levity] # enumFromThenTo :: Levity -> Levity -> Levity -> [Levity] #
Enum VecCount | @since base-4.10.0.0
Instance details Defined in GHC.Internal.Enum Methods succ :: VecCount -> VecCount # pred :: VecCount -> VecCount # toEnum :: Int -> VecCount # fromEnum :: VecCount -> Int # enumFrom :: VecCount -> [VecCount] # enumFromThen :: VecCount -> VecCount -> [VecCount] # enumFromTo :: VecCount -> VecCount -> [VecCount] # enumFromThenTo :: VecCount -> VecCount -> VecCount -> [VecCount] #
Enum VecElem | @since base-4.10.0.0
Instance details Defined in GHC.Internal.Enum Methods succ :: VecElem -> VecElem # pred :: VecElem -> VecElem # toEnum :: Int -> VecElem # fromEnum :: VecElem -> Int # enumFrom :: VecElem -> [VecElem] # enumFromThen :: VecElem -> VecElem -> [VecElem] # enumFromTo :: VecElem -> VecElem -> [VecElem] # enumFromThenTo :: VecElem -> VecElem -> VecElem -> [VecElem] #
Enum Word | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods succ :: Word -> Word # pred :: Word -> Word # toEnum :: Int -> Word # fromEnum :: Word -> Int # enumFrom :: Word -> [Word] # enumFromThen :: Word -> Word -> [Word] # enumFromTo :: Word -> Word -> [Word] # enumFromThenTo :: Word -> Word -> Word -> [Word] #
Enum a => Enum (First a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods succ :: First a -> First a # pred :: First a -> First a # toEnum :: Int -> First a # fromEnum :: First a -> Int # enumFrom :: First a -> [First a] # enumFromThen :: First a -> First a -> [First a] # enumFromTo :: First a -> First a -> [First a] # enumFromThenTo :: First a -> First a -> First a -> [First a] #
Enum a => Enum (Last a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods succ :: Last a -> Last a # pred :: Last a -> Last a # toEnum :: Int -> Last a # fromEnum :: Last a -> Int # enumFrom :: Last a -> [Last a] # enumFromThen :: Last a -> Last a -> [Last a] # enumFromTo :: Last a -> Last a -> [Last a] # enumFromThenTo :: Last a -> Last a -> Last a -> [Last a] #
Enum a => Enum (Max a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods succ :: Max a -> Max a # pred :: Max a -> Max a # toEnum :: Int -> Max a # fromEnum :: Max a -> Int # enumFrom :: Max a -> [Max a] # enumFromThen :: Max a -> Max a -> [Max a] # enumFromTo :: Max a -> Max a -> [Max a] # enumFromThenTo :: Max a -> Max a -> Max a -> [Max a] #
Enum a => Enum (Min a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods succ :: Min a -> Min a # pred :: Min a -> Min a # toEnum :: Int -> Min a # fromEnum :: Min a -> Int # enumFrom :: Min a -> [Min a] # enumFromThen :: Min a -> Min a -> [Min a] # enumFromTo :: Min a -> Min a -> [Min a] # enumFromThenTo :: Min a -> Min a -> Min a -> [Min a] #
Enum a => Enum (WrappedMonoid a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods succ :: WrappedMonoid a -> WrappedMonoid a # pred :: WrappedMonoid a -> WrappedMonoid a # toEnum :: Int -> WrappedMonoid a # fromEnum :: WrappedMonoid a -> Int # enumFrom :: WrappedMonoid a -> [WrappedMonoid a] # enumFromThen :: WrappedMonoid a -> WrappedMonoid a -> [WrappedMonoid a] # enumFromTo :: WrappedMonoid a -> WrappedMonoid a -> [WrappedMonoid a] # enumFromThenTo :: WrappedMonoid a -> WrappedMonoid a -> WrappedMonoid a -> [WrappedMonoid a] #
(Enum a, Bounded a, Eq a) => Enum (Down a) | Swaps ``succ`` and ``pred`` of the underlying type. @since base-4.18.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods succ :: Down a -> Down a # pred :: Down a -> Down a # toEnum :: Int -> Down a # fromEnum :: Down a -> Int # enumFrom :: Down a -> [Down a] # enumFromThen :: Down a -> Down a -> [Down a] # enumFromTo :: Down a -> Down a -> [Down a] # enumFromThenTo :: Down a -> Down a -> Down a -> [Down a] #
Integral a => Enum (Ratio a) | @since base-2.0.1
Instance details Defined in GHC.Internal.Real Methods succ :: Ratio a -> Ratio a # pred :: Ratio a -> Ratio a # toEnum :: Int -> Ratio a # fromEnum :: Ratio a -> Int # enumFrom :: Ratio a -> [Ratio a] # enumFromThen :: Ratio a -> Ratio a -> [Ratio a] # enumFromTo :: Ratio a -> Ratio a -> [Ratio a] # enumFromThenTo :: Ratio a -> Ratio a -> Ratio a -> [Ratio a] #
Enum a => Enum (Solo a) |
Instance details Defined in GHC.Internal.Enum Methods succ :: Solo a -> Solo a # pred :: Solo a -> Solo a # toEnum :: Int -> Solo a # fromEnum :: Solo a -> Int # enumFrom :: Solo a -> [Solo a] # enumFromThen :: Solo a -> Solo a -> [Solo a] # enumFromTo :: Solo a -> Solo a -> [Solo a] # enumFromThenTo :: Solo a -> Solo a -> Solo a -> [Solo a] #
Enum (Fixed a) | Recall that, for numeric types, `succ` and `pred` typically add and subtract `1`, respectively. This is not true in the case of `Fixed`, whose successor and predecessor functions intuitively return the "next" and "previous" values in the enumeration. The results of these functions thus depend on the resolution of the `Fixed` value. For example, when enumerating values of resolution `10^-3` of `type Milli = Fixed E3`,
    >>> succ (0.000 :: Milli)
    0.001
and likewise
    >>> pred (0.000 :: Milli)
    -0.001
In other words, `succ` and `pred` increment and decrement a fixed-precision value by the least amount such that the value's resolution is unchanged. For example, `10^-12` is the smallest (positive) amount that can be added to a value of `type Pico = Fixed E12` without changing its resolution, and so
    >>> succ (0.000000000000 :: Pico)
    0.000000000001
and similarly
    >>> pred (0.000000000000 :: Pico)
    -0.000000000001
This is worth bearing in mind when defining `Fixed` arithmetic sequences. In particular, you may be forgiven for thinking the sequence
      [1..10] :: [Pico]
evaluates to `[1, 2, 3, 4, 5, 6, 7, 8, 9, 10] :: [Pico]`. However, this is not true. On the contrary, similarly to the above implementations of `succ` and `pred`, `enumFromTo :: Pico -> Pico -> [Pico]` has a "step size" of `10^-12`. Hence, the list `[1..10] :: [Pico]` has the form
      [1.000000000000, 1.00000000001, 1.00000000002, ..., 10.000000000000]
and contains `9 * 10^12 + 1` values. Since: base-2.1
Instance details Defined in Data.Fixed Methods succ :: Fixed a -> Fixed a # pred :: Fixed a -> Fixed a # toEnum :: Int -> Fixed a # fromEnum :: Fixed a -> Int # enumFrom :: Fixed a -> [Fixed a] # enumFromThen :: Fixed a -> Fixed a -> [Fixed a] # enumFromTo :: Fixed a -> Fixed a -> [Fixed a] # enumFromThenTo :: Fixed a -> Fixed a -> Fixed a -> [Fixed a] #
Enum (f (g a)) => Enum (Compose f g a) | Since: base-4.19.0.0
Instance details Defined in Data.Functor.Compose Methods succ :: Compose f g a -> Compose f g a # pred :: Compose f g a -> Compose f g a # toEnum :: Int -> Compose f g a # fromEnum :: Compose f g a -> Int # enumFrom :: Compose f g a -> [Compose f g a] # enumFromThen :: Compose f g a -> Compose f g a -> [Compose f g a] # enumFromTo :: Compose f g a -> Compose f g a -> [Compose f g a] # enumFromThenTo :: Compose f g a -> Compose f g a -> Compose f g a -> [Compose f g a] #

class Show a #

Conversion of values to readable `String`s.

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

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

For example, given the declarations

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

the derived instance of `Show` is equivalent to

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

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

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

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

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

Minimal complete definition

showsPrec | show

#### Instances

Instances details

Show ByteArray | Since: base-4.17.0.0
Instance details Defined in Data.Array.Byte Methods showsPrec :: Int -> ByteArray -> ShowS # show :: ByteArray -> String # showList :: [ByteArray] -> ShowS #
Show Timeout | Since: base-4.0
Instance details Defined in System.Timeout Methods showsPrec :: Int -> Timeout -> ShowS # show :: Timeout -> String # showList :: [Timeout] -> ShowS #
Show FormatMode |
Instance details Defined in Data.ByteString.Builder.RealFloat Methods showsPrec :: Int -> FormatMode -> ShowS # show :: FormatMode -> String # showList :: [FormatMode] -> ShowS #
Show ByteString |
Instance details Defined in Data.ByteString.Internal.Type Methods showsPrec :: Int -> ByteString -> ShowS # show :: ByteString -> String # showList :: [ByteString] -> ShowS #
Show SizeOverflowException |
Instance details Defined in Data.ByteString.Internal.Type Methods showsPrec :: Int -> SizeOverflowException -> ShowS # show :: SizeOverflowException -> String # showList :: [SizeOverflowException] -> ShowS #
Show ByteString |
Instance details Defined in Data.ByteString.Lazy.Internal Methods showsPrec :: Int -> ByteString -> ShowS # show :: ByteString -> String # showList :: [ByteString] -> ShowS #
Show ShortByteString |
Instance details Defined in Data.ByteString.Short.Internal Methods showsPrec :: Int -> ShortByteString -> ShowS # show :: ShortByteString -> String # showList :: [ShortByteString] -> ShowS #
Show IntSet |
Instance details Defined in Data.IntSet.Internal Methods showsPrec :: Int -> IntSet -> ShowS # show :: IntSet -> String # showList :: [IntSet] -> ShowS #
Show BitQueue |
Instance details Defined in Utils.Containers.Internal.BitQueue Methods showsPrec :: Int -> BitQueue -> ShowS # show :: BitQueue -> String # showList :: [BitQueue] -> ShowS #
Show BitQueueB |
Instance details Defined in Utils.Containers.Internal.BitQueue Methods showsPrec :: Int -> BitQueueB -> ShowS # show :: BitQueueB -> String # showList :: [BitQueueB] -> ShowS #
Show Void | @since base-4.8.0.0
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Void -> ShowS # show :: Void -> String # showList :: [Void] -> ShowS #
Show SomeTypeRep | @since base-4.10.0.0
Instance details Defined in GHC.Internal.Data.Typeable.Internal Methods showsPrec :: Int -> SomeTypeRep -> ShowS # show :: SomeTypeRep -> String # showList :: [SomeTypeRep] -> ShowS #
Show Version | @since base-2.01
Instance details Defined in GHC.Internal.Data.Version Methods showsPrec :: Int -> Version -> ShowS # show :: Version -> String # showList :: [Version] -> ShowS #
Show ArithException | @since base-4.0.0.0
Instance details Defined in GHC.Internal.Exception.Type Methods showsPrec :: Int -> ArithException -> ShowS # show :: ArithException -> String # showList :: [ArithException] -> ShowS #
Show SomeException | Since: ghc-internal-3.0
Instance details Defined in GHC.Internal.Exception.Type Methods showsPrec :: Int -> SomeException -> ShowS # show :: SomeException -> String # showList :: [SomeException] -> ShowS #
Show CBool |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CBool -> ShowS # show :: CBool -> String # showList :: [CBool] -> ShowS #
Show CChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CChar -> ShowS # show :: CChar -> String # showList :: [CChar] -> ShowS #
Show CClock |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CClock -> ShowS # show :: CClock -> String # showList :: [CClock] -> ShowS #
Show CDouble |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CDouble -> ShowS # show :: CDouble -> String # showList :: [CDouble] -> ShowS #
Show CFloat |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CFloat -> ShowS # show :: CFloat -> String # showList :: [CFloat] -> ShowS #
Show CInt |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CInt -> ShowS # show :: CInt -> String # showList :: [CInt] -> ShowS #
Show CIntMax |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CIntMax -> ShowS # show :: CIntMax -> String # showList :: [CIntMax] -> ShowS #
Show CIntPtr |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CIntPtr -> ShowS # show :: CIntPtr -> String # showList :: [CIntPtr] -> ShowS #
Show CLLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CLLong -> ShowS # show :: CLLong -> String # showList :: [CLLong] -> ShowS #
Show CLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CLong -> ShowS # show :: CLong -> String # showList :: [CLong] -> ShowS #
Show CPtrdiff |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CPtrdiff -> ShowS # show :: CPtrdiff -> String # showList :: [CPtrdiff] -> ShowS #
Show CSChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CSChar -> ShowS # show :: CSChar -> String # showList :: [CSChar] -> ShowS #
Show CSUSeconds |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CSUSeconds -> ShowS # show :: CSUSeconds -> String # showList :: [CSUSeconds] -> ShowS #
Show CShort |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CShort -> ShowS # show :: CShort -> String # showList :: [CShort] -> ShowS #
Show CSigAtomic |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CSigAtomic -> ShowS # show :: CSigAtomic -> String # showList :: [CSigAtomic] -> ShowS #
Show CSize |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CSize -> ShowS # show :: CSize -> String # showList :: [CSize] -> ShowS #
Show CTime |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CTime -> ShowS # show :: CTime -> String # showList :: [CTime] -> ShowS #
Show CUChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CUChar -> ShowS # show :: CUChar -> String # showList :: [CUChar] -> ShowS #
Show CUInt |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CUInt -> ShowS # show :: CUInt -> String # showList :: [CUInt] -> ShowS #
Show CUIntMax |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CUIntMax -> ShowS # show :: CUIntMax -> String # showList :: [CUIntMax] -> ShowS #
Show CUIntPtr |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CUIntPtr -> ShowS # show :: CUIntPtr -> String # showList :: [CUIntPtr] -> ShowS #
Show CULLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CULLong -> ShowS # show :: CULLong -> String # showList :: [CULLong] -> ShowS #
Show CULong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CULong -> ShowS # show :: CULong -> String # showList :: [CULong] -> ShowS #
Show CUSeconds |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CUSeconds -> ShowS # show :: CUSeconds -> String # showList :: [CUSeconds] -> ShowS #
Show CUShort |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CUShort -> ShowS # show :: CUShort -> String # showList :: [CUShort] -> ShowS #
Show CWchar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CWchar -> ShowS # show :: CWchar -> String # showList :: [CWchar] -> ShowS #
Show Associativity | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> Associativity -> ShowS # show :: Associativity -> String # showList :: [Associativity] -> ShowS #
Show DecidedStrictness | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> DecidedStrictness -> ShowS # show :: DecidedStrictness -> String # showList :: [DecidedStrictness] -> ShowS #
Show Fixity | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> Fixity -> ShowS # show :: Fixity -> String # showList :: [Fixity] -> ShowS #
Show SourceStrictness | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> SourceStrictness -> ShowS # show :: SourceStrictness -> String # showList :: [SourceStrictness] -> ShowS #
Show SourceUnpackedness | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> SourceUnpackedness -> ShowS # show :: SourceUnpackedness -> String # showList :: [SourceUnpackedness] -> ShowS #
Show MaskingState | @since base-4.3.0.0
Instance details Defined in GHC.Internal.IO Methods showsPrec :: Int -> MaskingState -> ShowS # show :: MaskingState -> String # showList :: [MaskingState] -> ShowS #
Show AllocationLimitExceeded | @since base-4.7.1.0
Instance details Defined in GHC.Internal.IO.Exception Methods showsPrec :: Int -> AllocationLimitExceeded -> ShowS # show :: AllocationLimitExceeded -> String # showList :: [AllocationLimitExceeded] -> ShowS #
Show ArrayException | @since base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods showsPrec :: Int -> ArrayException -> ShowS # show :: ArrayException -> String # showList :: [ArrayException] -> ShowS #
Show AssertionFailed | @since base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods showsPrec :: Int -> AssertionFailed -> ShowS # show :: AssertionFailed -> String # showList :: [AssertionFailed] -> ShowS #
Show AsyncException | @since base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods showsPrec :: Int -> AsyncException -> ShowS # show :: AsyncException -> String # showList :: [AsyncException] -> ShowS #
Show BlockedIndefinitelyOnMVar | @since base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods showsPrec :: Int -> BlockedIndefinitelyOnMVar -> ShowS # show :: BlockedIndefinitelyOnMVar -> String # showList :: [BlockedIndefinitelyOnMVar] -> ShowS #
Show BlockedIndefinitelyOnSTM | @since base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods showsPrec :: Int -> BlockedIndefinitelyOnSTM -> ShowS # show :: BlockedIndefinitelyOnSTM -> String # showList :: [BlockedIndefinitelyOnSTM] -> ShowS #
Show CompactionFailed | @since base-4.10.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods showsPrec :: Int -> CompactionFailed -> ShowS # show :: CompactionFailed -> String # showList :: [CompactionFailed] -> ShowS #
Show Deadlock | @since base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods showsPrec :: Int -> Deadlock -> ShowS # show :: Deadlock -> String # showList :: [Deadlock] -> ShowS #
Show ExitCode |
Instance details Defined in GHC.Internal.IO.Exception Methods showsPrec :: Int -> ExitCode -> ShowS # show :: ExitCode -> String # showList :: [ExitCode] -> ShowS #
Show FixIOException | @since base-4.11.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods showsPrec :: Int -> FixIOException -> ShowS # show :: FixIOException -> String # showList :: [FixIOException] -> ShowS #
Show IOErrorType | @since base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods showsPrec :: Int -> IOErrorType -> ShowS # show :: IOErrorType -> String # showList :: [IOErrorType] -> ShowS #
Show IOException | @since base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods showsPrec :: Int -> IOException -> ShowS # show :: IOException -> String # showList :: [IOException] -> ShowS #
Show SomeAsyncException | @since base-4.7.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods showsPrec :: Int -> SomeAsyncException -> ShowS # show :: SomeAsyncException -> String # showList :: [SomeAsyncException] -> ShowS #
Show BufferMode | @since base-4.2.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods showsPrec :: Int -> BufferMode -> ShowS # show :: BufferMode -> String # showList :: [BufferMode] -> ShowS #
Show Handle | @since base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods showsPrec :: Int -> Handle -> ShowS # show :: Handle -> String # showList :: [Handle] -> ShowS #
Show HandleType | @since base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods showsPrec :: Int -> HandleType -> ShowS # show :: HandleType -> String # showList :: [HandleType] -> ShowS #
Show Newline | @since base-4.3.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods showsPrec :: Int -> Newline -> ShowS # show :: Newline -> String # showList :: [Newline] -> ShowS #
Show NewlineMode | @since base-4.3.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods showsPrec :: Int -> NewlineMode -> ShowS # show :: NewlineMode -> String # showList :: [NewlineMode] -> ShowS #
Show Int16 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods showsPrec :: Int -> Int16 -> ShowS # show :: Int16 -> String # showList :: [Int16] -> ShowS #
Show Int32 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods showsPrec :: Int -> Int32 -> ShowS # show :: Int32 -> String # showList :: [Int32] -> ShowS #
Show Int64 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods showsPrec :: Int -> Int64 -> ShowS # show :: Int64 -> String # showList :: [Int64] -> ShowS #
Show Int8 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods showsPrec :: Int -> Int8 -> ShowS # show :: Int8 -> String # showList :: [Int8] -> ShowS #
Show FractionalExponentBase |
Instance details Defined in GHC.Internal.Real Methods showsPrec :: Int -> FractionalExponentBase -> ShowS # show :: FractionalExponentBase -> String # showList :: [FractionalExponentBase] -> ShowS #
Show CallStack | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> CallStack -> ShowS # show :: CallStack -> String # showList :: [CallStack] -> ShowS #
Show SrcLoc | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> SrcLoc -> ShowS # show :: SrcLoc -> String # showList :: [SrcLoc] -> ShowS #
Show Word16 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods showsPrec :: Int -> Word16 -> ShowS # show :: Word16 -> String # showList :: [Word16] -> ShowS #
Show Word32 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods showsPrec :: Int -> Word32 -> ShowS # show :: Word32 -> String # showList :: [Word32] -> ShowS #
Show Word64 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods showsPrec :: Int -> Word64 -> ShowS # show :: Word64 -> String # showList :: [Word64] -> ShowS #
Show Word8 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods showsPrec :: Int -> Word8 -> ShowS # show :: Word8 -> String # showList :: [Word8] -> ShowS #
Show KindRep |
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> KindRep -> ShowS # show :: KindRep -> String # showList :: [KindRep] -> ShowS #
Show Module | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Module -> ShowS # show :: Module -> String # showList :: [Module] -> ShowS #
Show Ordering | @since base-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Ordering -> ShowS # show :: Ordering -> String # showList :: [Ordering] -> ShowS #
Show TrName | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> TrName -> ShowS # show :: TrName -> String # showList :: [TrName] -> ShowS #
Show TyCon | @since base-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> TyCon -> ShowS # show :: TyCon -> String # showList :: [TyCon] -> ShowS #
Show TypeLitSort | @since base-4.11.0.0
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> TypeLitSort -> ShowS # show :: TypeLitSort -> String # showList :: [TypeLitSort] -> ShowS #
Show OsChar |
Instance details Defined in System.OsString.Internal.Types Methods showsPrec :: Int -> OsChar -> ShowS # show :: OsChar -> String # showList :: [OsChar] -> ShowS #
Show OsString | On windows, decodes as UCS-2. On unix prints the raw bytes without decoding.
Instance details Defined in System.OsString.Internal.Types Methods showsPrec :: Int -> OsString -> ShowS # show :: OsString -> String # showList :: [OsString] -> ShowS #
Show PosixChar |
Instance details Defined in System.OsString.Internal.Types Methods showsPrec :: Int -> PosixChar -> ShowS # show :: PosixChar -> String # showList :: [PosixChar] -> ShowS #
Show PosixString | Prints the raw bytes without decoding.
Instance details Defined in System.OsString.Internal.Types Methods showsPrec :: Int -> PosixString -> ShowS # show :: PosixString -> String # showList :: [PosixString] -> ShowS #
Show WindowsChar |
Instance details Defined in System.OsString.Internal.Types Methods showsPrec :: Int -> WindowsChar -> ShowS # show :: WindowsChar -> String # showList :: [WindowsChar] -> ShowS #
Show WindowsString | Decodes as UCS-2.
Instance details Defined in System.OsString.Internal.Types Methods showsPrec :: Int -> WindowsString -> ShowS # show :: WindowsString -> String # showList :: [WindowsString] -> ShowS #
Show Mode |
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods showsPrec :: Int -> Mode -> ShowS # show :: Mode -> String # showList :: [Mode] -> ShowS #
Show Style |
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods showsPrec :: Int -> Style -> ShowS # show :: Style -> String # showList :: [Style] -> ShowS #
Show TextDetails |
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods showsPrec :: Int -> TextDetails -> ShowS # show :: TextDetails -> String # showList :: [TextDetails] -> ShowS #
Show Doc |
Instance details Defined in Text.PrettyPrint.HughesPJ Methods showsPrec :: Int -> Doc -> ShowS # show :: Doc -> String # showList :: [Doc] -> ShowS #
Show Decoding |
Instance details Defined in Data.Text.Encoding Methods showsPrec :: Int -> Decoding -> ShowS # show :: Decoding -> String # showList :: [Decoding] -> ShowS #
Show UnicodeException |
Instance details Defined in Data.Text.Encoding.Error Methods showsPrec :: Int -> UnicodeException -> ShowS # show :: UnicodeException -> String # showList :: [UnicodeException] -> ShowS #
Show I8 |
Instance details Defined in Data.Text.Foreign Methods showsPrec :: Int -> I8 -> ShowS # show :: I8 -> String # showList :: [I8] -> ShowS #
Show Builder |
Instance details Defined in Data.Text.Internal.Builder Methods showsPrec :: Int -> Builder -> ShowS # show :: Builder -> String # showList :: [Builder] -> ShowS #
Show PartialUtf8CodePoint |
Instance details Defined in Data.Text.Internal.Encoding Methods showsPrec :: Int -> PartialUtf8CodePoint -> ShowS # show :: PartialUtf8CodePoint -> String # showList :: [PartialUtf8CodePoint] -> ShowS #
Show Utf8State |
Instance details Defined in Data.Text.Internal.Encoding Methods showsPrec :: Int -> Utf8State -> ShowS # show :: Utf8State -> String # showList :: [Utf8State] -> ShowS #
Show DecoderState |
Instance details Defined in Data.Text.Internal.Encoding.Utf8 Methods showsPrec :: Int -> DecoderState -> ShowS # show :: DecoderState -> String # showList :: [DecoderState] -> ShowS #
Show Size |
Instance details Defined in Data.Text.Internal.Fusion.Size Methods showsPrec :: Int -> Size -> ShowS # show :: Size -> String # showList :: [Size] -> ShowS #
Show FPFormat |
Instance details Defined in Data.Text.Lazy.Builder.RealFloat Methods showsPrec :: Int -> FPFormat -> ShowS # show :: FPFormat -> String # showList :: [FPFormat] -> ShowS #
Show Iter |
Instance details Defined in Data.Text.Unsafe Methods showsPrec :: Int -> Iter -> ShowS # show :: Iter -> String # showList :: [Iter] -> ShowS #
Show SubHashPath |
Instance details Defined in Data.HashMap.Internal.Debug Methods showsPrec :: Int -> SubHashPath -> ShowS # show :: SubHashPath -> String # showList :: [SubHashPath] -> ShowS #
Show Size |
Instance details Defined in Data.Vector.Fusion.Bundle.Size Methods showsPrec :: Int -> Size -> ShowS # show :: Size -> String # showList :: [Size] -> ShowS #
Show Integer | @since base-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Integer -> ShowS # show :: Integer -> String # showList :: [Integer] -> ShowS #
Show Natural | @since base-4.8.0.0
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Natural -> ShowS # show :: Natural -> String # showList :: [Natural] -> ShowS #
Show () | @since base-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> () -> ShowS # show :: () -> String # showList :: [()] -> ShowS #
Show Bool | @since base-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Bool -> ShowS # show :: Bool -> String # showList :: [Bool] -> ShowS #
Show Char | @since base-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Char -> ShowS # show :: Char -> String # showList :: [Char] -> ShowS #
Show Int | @since base-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Int -> ShowS # show :: Int -> String # showList :: [Int] -> ShowS #
Show Levity | @since base-4.15.0.0
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Levity -> ShowS # show :: Levity -> String # showList :: [Levity] -> ShowS #
Show RuntimeRep | @since base-4.11.0.0
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> RuntimeRep -> ShowS # show :: RuntimeRep -> String # showList :: [RuntimeRep] -> ShowS #
Show VecCount | @since base-4.11.0.0
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> VecCount -> ShowS # show :: VecCount -> String # showList :: [VecCount] -> ShowS #
Show VecElem | @since base-4.11.0.0
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> VecElem -> ShowS # show :: VecElem -> String # showList :: [VecElem] -> ShowS #
Show Word | @since base-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Word -> ShowS # show :: Word -> String # showList :: [Word] -> ShowS #
Show a => Show (Complex a) | Since: base-2.1
Instance details Defined in Data.Complex Methods showsPrec :: Int -> Complex a -> ShowS # show :: Complex a -> String # showList :: [Complex a] -> ShowS #
Show a => Show (First a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods showsPrec :: Int -> First a -> ShowS # show :: First a -> String # showList :: [First a] -> ShowS #
Show a => Show (Last a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods showsPrec :: Int -> Last a -> ShowS # show :: Last a -> String # showList :: [Last a] -> ShowS #
Show a => Show (Max a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods showsPrec :: Int -> Max a -> ShowS # show :: Max a -> String # showList :: [Max a] -> ShowS #
Show a => Show (Min a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods showsPrec :: Int -> Min a -> ShowS # show :: Min a -> String # showList :: [Min a] -> ShowS #
Show m => Show (WrappedMonoid m) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods showsPrec :: Int -> WrappedMonoid m -> ShowS # show :: WrappedMonoid m -> String # showList :: [WrappedMonoid m] -> ShowS #
Show vertex => Show (SCC vertex) | Since: containers-0.5.9
Instance details Defined in Data.Graph Methods showsPrec :: Int -> SCC vertex -> ShowS # show :: SCC vertex -> String # showList :: [SCC vertex] -> ShowS #
Show a => Show (IntMap a) |
Instance details Defined in Data.IntMap.Internal Methods showsPrec :: Int -> IntMap a -> ShowS # show :: IntMap a -> String # showList :: [IntMap a] -> ShowS #
Show a => Show (Seq a) |
Instance details Defined in Data.Sequence.Internal Methods showsPrec :: Int -> Seq a -> ShowS # show :: Seq a -> String # showList :: [Seq a] -> ShowS #
Show a => Show (ViewL a) |
Instance details Defined in Data.Sequence.Internal Methods showsPrec :: Int -> ViewL a -> ShowS # show :: ViewL a -> String # showList :: [ViewL a] -> ShowS #
Show a => Show (ViewR a) |
Instance details Defined in Data.Sequence.Internal Methods showsPrec :: Int -> ViewR a -> ShowS # show :: ViewR a -> String # showList :: [ViewR a] -> ShowS #
Show a => Show (Intersection a) |
Instance details Defined in Data.Set.Internal Methods showsPrec :: Int -> Intersection a -> ShowS # show :: Intersection a -> String # showList :: [Intersection a] -> ShowS #
Show a => Show (Set a) |
Instance details Defined in Data.Set.Internal Methods showsPrec :: Int -> Set a -> ShowS # show :: Set a -> String # showList :: [Set a] -> ShowS #
Show a => Show (Tree a) |
Instance details Defined in Data.Tree Methods showsPrec :: Int -> Tree a -> ShowS # show :: Tree a -> String # showList :: [Tree a] -> ShowS #
Show a => Show (NonEmpty a) | @since base-4.11.0.0
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> NonEmpty a -> ShowS # show :: NonEmpty a -> String # showList :: [NonEmpty a] -> ShowS #
Show a => Show (Down a) | This instance would be equivalent to the derived instances of the `Down` newtype if the `getDown` field were removed @since base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods showsPrec :: Int -> Down a -> ShowS # show :: Down a -> String # showList :: [Down a] -> ShowS #
Show a => Show (ExceptionWithContext a) |
Instance details Defined in GHC.Internal.Exception.Type Methods showsPrec :: Int -> ExceptionWithContext a -> ShowS # show :: ExceptionWithContext a -> String # showList :: [ExceptionWithContext a] -> ShowS #
Show e => Show (NoBacktrace e) |
Instance details Defined in GHC.Internal.Exception.Type Methods showsPrec :: Int -> NoBacktrace e -> ShowS # show :: NoBacktrace e -> String # showList :: [NoBacktrace e] -> ShowS #
Show p => Show (Par1 p) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> Par1 p -> ShowS # show :: Par1 p -> String # showList :: [Par1 p] -> ShowS #
Show a => Show (Ratio a) | @since base-2.0.1
Instance details Defined in GHC.Internal.Real Methods showsPrec :: Int -> Ratio a -> ShowS # show :: Ratio a -> String # showList :: [Ratio a] -> ShowS #
Show a => Show (Hashed a) |
Instance details Defined in Data.Hashable.Class Methods showsPrec :: Int -> Hashed a -> ShowS # show :: Hashed a -> String # showList :: [Hashed a] -> ShowS #
Show a => Show (AnnotDetails a) |
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods showsPrec :: Int -> AnnotDetails a -> ShowS # show :: AnnotDetails a -> String # showList :: [AnnotDetails a] -> ShowS #
Show (Doc a) |
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods showsPrec :: Int -> Doc a -> ShowS # show :: Doc a -> String # showList :: [Doc a] -> ShowS #
Show a => Show (Span a) |
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods showsPrec :: Int -> Span a -> ShowS # show :: Span a -> String # showList :: [Span a] -> ShowS #
Show a => Show (Array a) |
Instance details Defined in Data.Primitive.Array Methods showsPrec :: Int -> Array a -> ShowS # show :: Array a -> String # showList :: [Array a] -> ShowS #
(Show a, Prim a) => Show (PrimArray a) | Since: primitive-0.6.4.0
Instance details Defined in Data.Primitive.PrimArray Methods showsPrec :: Int -> PrimArray a -> ShowS # show :: PrimArray a -> String # showList :: [PrimArray a] -> ShowS #
Show a => Show (SmallArray a) |
Instance details Defined in Data.Primitive.SmallArray Methods showsPrec :: Int -> SmallArray a -> ShowS # show :: SmallArray a -> String # showList :: [SmallArray a] -> ShowS #
Show a => Show (Array a) |
Instance details Defined in Data.HashMap.Internal.Array Methods showsPrec :: Int -> Array a -> ShowS # show :: Array a -> String # showList :: [Array a] -> ShowS #
Show k => Show (Error k) |
Instance details Defined in Data.HashMap.Internal.Debug Methods showsPrec :: Int -> Error k -> ShowS # show :: Error k -> String # showList :: [Error k] -> ShowS #
Show k => Show (Validity k) |
Instance details Defined in Data.HashMap.Internal.Debug Methods showsPrec :: Int -> Validity k -> ShowS # show :: Validity k -> String # showList :: [Validity k] -> ShowS #
Show a => Show (HashSet a) |
Instance details Defined in Data.HashSet.Internal Methods showsPrec :: Int -> HashSet a -> ShowS # show :: HashSet a -> String # showList :: [HashSet a] -> ShowS #
Show a => Show (Vector a) |
Instance details Defined in Data.Vector Methods showsPrec :: Int -> Vector a -> ShowS # show :: Vector a -> String # showList :: [Vector a] -> ShowS #
(Show a, Prim a) => Show (Vector a) |
Instance details Defined in Data.Vector.Primitive Methods showsPrec :: Int -> Vector a -> ShowS # show :: Vector a -> String # showList :: [Vector a] -> ShowS #
(Show a, Storable a) => Show (Vector a) |
Instance details Defined in Data.Vector.Storable Methods showsPrec :: Int -> Vector a -> ShowS # show :: Vector a -> String # showList :: [Vector a] -> ShowS #
Show a => Show (Vector a) |
Instance details Defined in Data.Vector.Strict Methods showsPrec :: Int -> Vector a -> ShowS # show :: Vector a -> String # showList :: [Vector a] -> ShowS #
Show a => Show (Maybe a) | @since base-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Maybe a -> ShowS # show :: Maybe a -> String # showList :: [Maybe a] -> ShowS #
Show a => Show (Solo a) | @since base-4.15
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Solo a -> ShowS # show :: Solo a -> String # showList :: [Solo a] -> ShowS #
Show a => Show [a] | @since base-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> [a] -> ShowS # show :: [a] -> String # showList :: [[a]] -> ShowS #
HasResolution a => Show (Fixed a) | Since: base-2.1
Instance details Defined in Data.Fixed Methods showsPrec :: Int -> Fixed a -> ShowS # show :: Fixed a -> String # showList :: [Fixed a] -> ShowS #
(Show a, Show b) => Show (Arg a b) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods showsPrec :: Int -> Arg a b -> ShowS # show :: Arg a b -> String # showList :: [Arg a b] -> ShowS #
(Show k, Show a) => Show (Map k a) |
Instance details Defined in Data.Map.Internal Methods showsPrec :: Int -> Map k a -> ShowS # show :: Map k a -> String # showList :: [Map k a] -> ShowS #
(Show a, Show b) => Show (Either a b) | @since base-3.0
Instance details Defined in GHC.Internal.Data.Either Methods showsPrec :: Int -> Either a b -> ShowS # show :: Either a b -> String # showList :: [Either a b] -> ShowS #
Show (TypeRep a) |
Instance details Defined in GHC.Internal.Data.Typeable.Internal Methods showsPrec :: Int -> TypeRep a -> ShowS # show :: TypeRep a -> String # showList :: [TypeRep a] -> ShowS #
Show (U1 p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> U1 p -> ShowS # show :: U1 p -> String # showList :: [U1 p] -> ShowS #
Show (V1 p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> V1 p -> ShowS # show :: V1 p -> String # showList :: [V1 p] -> ShowS #
(Show1 f, Show a) => Show (Lift f a) |
Instance details Defined in Control.Applicative.Lift Methods showsPrec :: Int -> Lift f a -> ShowS # show :: Lift f a -> String # showList :: [Lift f a] -> ShowS #
(Show1 m, Show a) => Show (MaybeT m a) |
Instance details Defined in Control.Monad.Trans.Maybe Methods showsPrec :: Int -> MaybeT m a -> ShowS # show :: MaybeT m a -> String # showList :: [MaybeT m a] -> ShowS #
(Show k, Show v) => Show (HashMap k v) |
Instance details Defined in Data.HashMap.Internal Methods showsPrec :: Int -> HashMap k v -> ShowS # show :: HashMap k v -> String # showList :: [HashMap k v] -> ShowS #
(Show a, Show b) => Show (a, b) | @since base-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> (a, b) -> ShowS # show :: (a, b) -> String # showList :: [(a, b)] -> ShowS #
Show (f p) => Show (Rec1 f p) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> Rec1 f p -> ShowS # show :: Rec1 f p -> String # showList :: [Rec1 f p] -> ShowS #
Show (URec Char p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> URec Char p -> ShowS # show :: URec Char p -> String # showList :: [URec Char p] -> ShowS #
Show (URec Double p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> URec Double p -> ShowS # show :: URec Double p -> String # showList :: [URec Double p] -> ShowS #
Show (URec Float p) |
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> URec Float p -> ShowS # show :: URec Float p -> String # showList :: [URec Float p] -> ShowS #
Show (URec Int p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> URec Int p -> ShowS # show :: URec Int p -> String # showList :: [URec Int p] -> ShowS #
Show (URec Word p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> URec Word p -> ShowS # show :: URec Word p -> String # showList :: [URec Word p] -> ShowS #
(Show1 f, Show a) => Show (Backwards f a) |
Instance details Defined in Control.Applicative.Backwards Methods showsPrec :: Int -> Backwards f a -> ShowS # show :: Backwards f a -> String # showList :: [Backwards f a] -> ShowS #
(Show e, Show1 m, Show a) => Show (ExceptT e m a) |
Instance details Defined in Control.Monad.Trans.Except Methods showsPrec :: Int -> ExceptT e m a -> ShowS # show :: ExceptT e m a -> String # showList :: [ExceptT e m a] -> ShowS #
(Show1 f, Show a) => Show (IdentityT f a) |
Instance details Defined in Control.Monad.Trans.Identity Methods showsPrec :: Int -> IdentityT f a -> ShowS # show :: IdentityT f a -> String # showList :: [IdentityT f a] -> ShowS #
(Show w, Show1 m, Show a) => Show (WriterT w m a) |
Instance details Defined in Control.Monad.Trans.Writer.Lazy Methods showsPrec :: Int -> WriterT w m a -> ShowS # show :: WriterT w m a -> String # showList :: [WriterT w m a] -> ShowS #
(Show w, Show1 m, Show a) => Show (WriterT w m a) |
Instance details Defined in Control.Monad.Trans.Writer.Strict Methods showsPrec :: Int -> WriterT w m a -> ShowS # show :: WriterT w m a -> String # showList :: [WriterT w m a] -> ShowS #
Show a => Show (Constant a b) |
Instance details Defined in Data.Functor.Constant Methods showsPrec :: Int -> Constant a b -> ShowS # show :: Constant a b -> String # showList :: [Constant a b] -> ShowS #
(Show1 f, Show a) => Show (Reverse f a) |
Instance details Defined in Data.Functor.Reverse Methods showsPrec :: Int -> Reverse f a -> ShowS # show :: Reverse f a -> String # showList :: [Reverse f a] -> ShowS #
(Show a, Show b, Show c) => Show (a, b, c) | @since base-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> (a, b, c) -> ShowS # show :: (a, b, c) -> String # showList :: [(a, b, c)] -> ShowS #
(Show (f a), Show (g a)) => Show (Product f g a) | Since: base-4.18.0.0
Instance details Defined in Data.Functor.Product Methods showsPrec :: Int -> Product f g a -> ShowS # show :: Product f g a -> String # showList :: [Product f g a] -> ShowS #
(Show (f a), Show (g a)) => Show (Sum f g a) | Since: base-4.18.0.0
Instance details Defined in Data.Functor.Sum Methods showsPrec :: Int -> Sum f g a -> ShowS # show :: Sum f g a -> String # showList :: [Sum f g a] -> ShowS #
(Show (f p), Show (g p)) => Show ((f :*: g) p) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> (f :*: g) p -> ShowS # show :: (f :*: g) p -> String # showList :: [(f :*: g) p] -> ShowS #
(Show (f p), Show (g p)) => Show ((f :+: g) p) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> (f :+: g) p -> ShowS # show :: (f :+: g) p -> String # showList :: [(f :+: g) p] -> ShowS #
Show c => Show (K1 i c p) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> K1 i c p -> ShowS # show :: K1 i c p -> String # showList :: [K1 i c p] -> ShowS #
(Show a, Show b, Show c, Show d) => Show (a, b, c, d) | @since base-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> (a, b, c, d) -> ShowS # show :: (a, b, c, d) -> String # showList :: [(a, b, c, d)] -> ShowS #
Show (f (g a)) => Show (Compose f g a) | Since: base-4.18.0.0
Instance details Defined in Data.Functor.Compose Methods showsPrec :: Int -> Compose f g a -> ShowS # show :: Compose f g a -> String # showList :: [Compose f g a] -> ShowS #
Show (f (g p)) => Show ((f :.: g) p) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> (f :.: g) p -> ShowS # show :: (f :.: g) p -> String # showList :: [(f :.: g) p] -> ShowS #
Show (f p) => Show (M1 i c f p) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> M1 i c f p -> ShowS # show :: M1 i c f p -> String # showList :: [M1 i c f p] -> ShowS #
(Show a, Show b, Show c, Show d, Show e) => Show (a, b, c, d, e) | @since base-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> (a, b, c, d, e) -> ShowS # show :: (a, b, c, d, e) -> String # showList :: [(a, b, c, d, e)] -> ShowS #
(Show a, Show b, Show c, Show d, Show e, Show f) => Show (a, b, c, d, e, f) | @since base-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> (a, b, c, d, e, f) -> ShowS # show :: (a, b, c, d, e, f) -> String # showList :: [(a, b, c, d, e, f)] -> ShowS #
(Show a, Show b, Show c, Show d, Show e, Show f, Show g) => Show (a, b, c, d, e, f, g) | @since base-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> (a, b, c, d, e, f, g) -> ShowS # show :: (a, b, c, d, e, f, g) -> String # showList :: [(a, b, c, d, e, f, g)] -> ShowS #
(Show 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-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> (a, b, c, d, e, f, g, h) -> ShowS # show :: (a, b, c, d, e, f, g, h) -> String # showList :: [(a, b, c, d, e, f, g, h)] -> ShowS #
(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h, Show i) => Show (a, b, c, d, e, f, g, h, i) | @since base-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> (a, b, c, d, e, f, g, h, i) -> ShowS # show :: (a, b, c, d, e, f, g, h, i) -> String # showList :: [(a, b, c, d, e, f, g, h, i)] -> ShowS #
(Show 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-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j) -> ShowS # show :: (a, b, c, d, e, f, g, h, i, j) -> String # showList :: [(a, b, c, d, e, f, g, h, i, j)] -> ShowS #
(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h, Show i, Show j, Show k) => Show (a, b, c, d, e, f, g, h, i, j, k) | @since base-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j, k) -> ShowS # show :: (a, b, c, d, e, f, g, h, i, j, k) -> String # showList :: [(a, b, c, d, e, f, g, h, i, j, k)] -> ShowS #
(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h, Show i, Show j, Show k, Show l) => Show (a, b, c, d, e, f, g, h, i, j, k, l) | @since base-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j, k, l) -> ShowS # show :: (a, b, c, d, e, f, g, h, i, j, k, l) -> String # showList :: [(a, b, c, d, e, f, g, h, i, j, k, l)] -> ShowS #
(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h, Show i, Show j, Show k, Show l, Show m) => Show (a, b, c, d, e, f, g, h, i, j, k, l, m) | @since base-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> ShowS # show :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> String # showList :: [(a, b, c, d, e, f, g, h, i, j, k, l, m)] -> ShowS #
(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h, Show i, Show j, Show k, Show l, Show m, Show n) => Show (a, b, c, d, e, f, g, h, i, j, k, l, m, n) | @since base-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> ShowS # show :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> String # showList :: [(a, b, c, d, e, f, g, h, i, j, k, l, m, n)] -> ShowS #
(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h, Show i, Show j, Show k, Show l, Show m, Show n, Show o) => Show (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) | @since base-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> ShowS # show :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> String # showList :: [(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)] -> ShowS #

class Read a #

Parsing of `String`s, producing values.

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

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

For example, given the declarations

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

the derived instance of `Read` in Haskell 2010 is equivalent to

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

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

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

              where app_prec = 10
                    up_prec = 5

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

The derived instance in GHC is equivalent to

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

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

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

              where app_prec = 10
                    up_prec = 5

            readListPrec = readListPrecDefault

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

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

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

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

Minimal complete definition

readsPrec | readPrec

#### Instances

Instances details

Read ByteString |
Instance details Defined in Data.ByteString.Internal.Type Methods readsPrec :: Int -> ReadS ByteString # readList :: ReadS [ByteString] # readPrec :: ReadPrec ByteString # readListPrec :: ReadPrec [ByteString] #
Read ByteString |
Instance details Defined in Data.ByteString.Lazy.Internal Methods readsPrec :: Int -> ReadS ByteString # readList :: ReadS [ByteString] # readPrec :: ReadPrec ByteString # readListPrec :: ReadPrec [ByteString] #
Read ShortByteString |
Instance details Defined in Data.ByteString.Short.Internal Methods readsPrec :: Int -> ReadS ShortByteString # readList :: ReadS [ShortByteString] # readPrec :: ReadPrec ShortByteString # readListPrec :: ReadPrec [ShortByteString] #
Read IntSet |
Instance details Defined in Data.IntSet.Internal Methods readsPrec :: Int -> ReadS IntSet # readList :: ReadS [IntSet] # readPrec :: ReadPrec IntSet # readListPrec :: ReadPrec [IntSet] #
Read Void | Reading a `Void` value is always a parse error, considering `Void` as a data type with no constructors. @since base-4.8.0.0
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Void # readList :: ReadS [Void] # readPrec :: ReadPrec Void # readListPrec :: ReadPrec [Void] #
Read Version | @since base-2.01
Instance details Defined in GHC.Internal.Data.Version Methods readsPrec :: Int -> ReadS Version # readList :: ReadS [Version] # readPrec :: ReadPrec Version # readListPrec :: ReadPrec [Version] #
Read CBool |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CBool # readList :: ReadS [CBool] # readPrec :: ReadPrec CBool # readListPrec :: ReadPrec [CBool] #
Read CChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CChar # readList :: ReadS [CChar] # readPrec :: ReadPrec CChar # readListPrec :: ReadPrec [CChar] #
Read CClock |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CClock # readList :: ReadS [CClock] # readPrec :: ReadPrec CClock # readListPrec :: ReadPrec [CClock] #
Read CDouble |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CDouble # readList :: ReadS [CDouble] # readPrec :: ReadPrec CDouble # readListPrec :: ReadPrec [CDouble] #
Read CFloat |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CFloat # readList :: ReadS [CFloat] # readPrec :: ReadPrec CFloat # readListPrec :: ReadPrec [CFloat] #
Read CInt |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CInt # readList :: ReadS [CInt] # readPrec :: ReadPrec CInt # readListPrec :: ReadPrec [CInt] #
Read CIntMax |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CIntMax # readList :: ReadS [CIntMax] # readPrec :: ReadPrec CIntMax # readListPrec :: ReadPrec [CIntMax] #
Read CIntPtr |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CIntPtr # readList :: ReadS [CIntPtr] # readPrec :: ReadPrec CIntPtr # readListPrec :: ReadPrec [CIntPtr] #
Read CLLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CLLong # readList :: ReadS [CLLong] # readPrec :: ReadPrec CLLong # readListPrec :: ReadPrec [CLLong] #
Read CLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CLong # readList :: ReadS [CLong] # readPrec :: ReadPrec CLong # readListPrec :: ReadPrec [CLong] #
Read CPtrdiff |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CPtrdiff # readList :: ReadS [CPtrdiff] # readPrec :: ReadPrec CPtrdiff # readListPrec :: ReadPrec [CPtrdiff] #
Read CSChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CSChar # readList :: ReadS [CSChar] # readPrec :: ReadPrec CSChar # readListPrec :: ReadPrec [CSChar] #
Read CSUSeconds |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CSUSeconds # readList :: ReadS [CSUSeconds] # readPrec :: ReadPrec CSUSeconds # readListPrec :: ReadPrec [CSUSeconds] #
Read CShort |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CShort # readList :: ReadS [CShort] # readPrec :: ReadPrec CShort # readListPrec :: ReadPrec [CShort] #
Read CSigAtomic |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CSigAtomic # readList :: ReadS [CSigAtomic] # readPrec :: ReadPrec CSigAtomic # readListPrec :: ReadPrec [CSigAtomic] #
Read CSize |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CSize # readList :: ReadS [CSize] # readPrec :: ReadPrec CSize # readListPrec :: ReadPrec [CSize] #
Read CTime |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CTime # readList :: ReadS [CTime] # readPrec :: ReadPrec CTime # readListPrec :: ReadPrec [CTime] #
Read CUChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CUChar # readList :: ReadS [CUChar] # readPrec :: ReadPrec CUChar # readListPrec :: ReadPrec [CUChar] #
Read CUInt |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CUInt # readList :: ReadS [CUInt] # readPrec :: ReadPrec CUInt # readListPrec :: ReadPrec [CUInt] #
Read CUIntMax |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CUIntMax # readList :: ReadS [CUIntMax] # readPrec :: ReadPrec CUIntMax # readListPrec :: ReadPrec [CUIntMax] #
Read CUIntPtr |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CUIntPtr # readList :: ReadS [CUIntPtr] # readPrec :: ReadPrec CUIntPtr # readListPrec :: ReadPrec [CUIntPtr] #
Read CULLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CULLong # readList :: ReadS [CULLong] # readPrec :: ReadPrec CULLong # readListPrec :: ReadPrec [CULLong] #
Read CULong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CULong # readList :: ReadS [CULong] # readPrec :: ReadPrec CULong # readListPrec :: ReadPrec [CULong] #
Read CUSeconds |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CUSeconds # readList :: ReadS [CUSeconds] # readPrec :: ReadPrec CUSeconds # readListPrec :: ReadPrec [CUSeconds] #
Read CUShort |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CUShort # readList :: ReadS [CUShort] # readPrec :: ReadPrec CUShort # readListPrec :: ReadPrec [CUShort] #
Read CWchar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CWchar # readList :: ReadS [CWchar] # readPrec :: ReadPrec CWchar # readListPrec :: ReadPrec [CWchar] #
Read Associativity | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Generics Methods readsPrec :: Int -> ReadS Associativity # readList :: ReadS [Associativity] # readPrec :: ReadPrec Associativity # readListPrec :: ReadPrec [Associativity] #
Read DecidedStrictness | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods readsPrec :: Int -> ReadS DecidedStrictness # readList :: ReadS [DecidedStrictness] # readPrec :: ReadPrec DecidedStrictness # readListPrec :: ReadPrec [DecidedStrictness] #
Read Fixity | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Generics Methods readsPrec :: Int -> ReadS Fixity # readList :: ReadS [Fixity] # readPrec :: ReadPrec Fixity # readListPrec :: ReadPrec [Fixity] #
Read SourceStrictness | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods readsPrec :: Int -> ReadS SourceStrictness # readList :: ReadS [SourceStrictness] # readPrec :: ReadPrec SourceStrictness # readListPrec :: ReadPrec [SourceStrictness] #
Read SourceUnpackedness | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods readsPrec :: Int -> ReadS SourceUnpackedness # readList :: ReadS [SourceUnpackedness] # readPrec :: ReadPrec SourceUnpackedness # readListPrec :: ReadPrec [SourceUnpackedness] #
Read ExitCode |
Instance details Defined in GHC.Internal.IO.Exception Methods readsPrec :: Int -> ReadS ExitCode # readList :: ReadS [ExitCode] # readPrec :: ReadPrec ExitCode # readListPrec :: ReadPrec [ExitCode] #
Read BufferMode | @since base-4.2.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods readsPrec :: Int -> ReadS BufferMode # readList :: ReadS [BufferMode] # readPrec :: ReadPrec BufferMode # readListPrec :: ReadPrec [BufferMode] #
Read Newline | @since base-4.3.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods readsPrec :: Int -> ReadS Newline # readList :: ReadS [Newline] # readPrec :: ReadPrec Newline # readListPrec :: ReadPrec [Newline] #
Read NewlineMode | @since base-4.3.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods readsPrec :: Int -> ReadS NewlineMode # readList :: ReadS [NewlineMode] # readPrec :: ReadPrec NewlineMode # readListPrec :: ReadPrec [NewlineMode] #
Read Int16 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods readsPrec :: Int -> ReadS Int16 # readList :: ReadS [Int16] # readPrec :: ReadPrec Int16 # readListPrec :: ReadPrec [Int16] #
Read Int32 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods readsPrec :: Int -> ReadS Int32 # readList :: ReadS [Int32] # readPrec :: ReadPrec Int32 # readListPrec :: ReadPrec [Int32] #
Read Int64 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods readsPrec :: Int -> ReadS Int64 # readList :: ReadS [Int64] # readPrec :: ReadPrec Int64 # readListPrec :: ReadPrec [Int64] #
Read Int8 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods readsPrec :: Int -> ReadS Int8 # readList :: ReadS [Int8] # readPrec :: ReadPrec Int8 # readListPrec :: ReadPrec [Int8] #
Read Lexeme | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Lexeme # readList :: ReadS [Lexeme] # readPrec :: ReadPrec Lexeme # readListPrec :: ReadPrec [Lexeme] #
Read GeneralCategory | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS GeneralCategory # readList :: ReadS [GeneralCategory] # readPrec :: ReadPrec GeneralCategory # readListPrec :: ReadPrec [GeneralCategory] #
Read Word16 | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Word16 # readList :: ReadS [Word16] # readPrec :: ReadPrec Word16 # readListPrec :: ReadPrec [Word16] #
Read Word32 | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Word32 # readList :: ReadS [Word32] # readPrec :: ReadPrec Word32 # readListPrec :: ReadPrec [Word32] #
Read Word64 | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Word64 # readList :: ReadS [Word64] # readPrec :: ReadPrec Word64 # readListPrec :: ReadPrec [Word64] #
Read Word8 | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Word8 # readList :: ReadS [Word8] # readPrec :: ReadPrec Word8 # readListPrec :: ReadPrec [Word8] #
Read Ordering | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Ordering # readList :: ReadS [Ordering] # readPrec :: ReadPrec Ordering # readListPrec :: ReadPrec [Ordering] #
Read I8 |
Instance details Defined in Data.Text.Foreign Methods readsPrec :: Int -> ReadS I8 # readList :: ReadS [I8] # readPrec :: ReadPrec I8 # readListPrec :: ReadPrec [I8] #
Read FPFormat |
Instance details Defined in Data.Text.Lazy.Builder.RealFloat Methods readsPrec :: Int -> ReadS FPFormat # readList :: ReadS [FPFormat] # readPrec :: ReadPrec FPFormat # readListPrec :: ReadPrec [FPFormat] #
Read Integer | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Integer # readList :: ReadS [Integer] # readPrec :: ReadPrec Integer # readListPrec :: ReadPrec [Integer] #
Read Natural | @since base-4.8.0.0
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Natural # readList :: ReadS [Natural] # readPrec :: ReadPrec Natural # readListPrec :: ReadPrec [Natural] #
Read () | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS () # readList :: ReadS [()] # readPrec :: ReadPrec () # readListPrec :: ReadPrec [()] #
Read Bool | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Bool # readList :: ReadS [Bool] # readPrec :: ReadPrec Bool # readListPrec :: ReadPrec [Bool] #
Read Char | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Char # readList :: ReadS [Char] # readPrec :: ReadPrec Char # readListPrec :: ReadPrec [Char] #
Read Double | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Double # readList :: ReadS [Double] # readPrec :: ReadPrec Double # readListPrec :: ReadPrec [Double] #
Read Float | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Float # readList :: ReadS [Float] # readPrec :: ReadPrec Float # readListPrec :: ReadPrec [Float] #
Read Int | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Int # readList :: ReadS [Int] # readPrec :: ReadPrec Int # readListPrec :: ReadPrec [Int] #
Read Word | @since base-4.5.0.0
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Word # readList :: ReadS [Word] # readPrec :: ReadPrec Word # readListPrec :: ReadPrec [Word] #
Read a => Read (Complex a) | Since: base-2.1
Instance details Defined in Data.Complex Methods readsPrec :: Int -> ReadS (Complex a) # readList :: ReadS [Complex a] # readPrec :: ReadPrec (Complex a) # readListPrec :: ReadPrec [Complex a] #
Read a => Read (First a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods readsPrec :: Int -> ReadS (First a) # readList :: ReadS [First a] # readPrec :: ReadPrec (First a) # readListPrec :: ReadPrec [First a] #
Read a => Read (Last a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods readsPrec :: Int -> ReadS (Last a) # readList :: ReadS [Last a] # readPrec :: ReadPrec (Last a) # readListPrec :: ReadPrec [Last a] #
Read a => Read (Max a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods readsPrec :: Int -> ReadS (Max a) # readList :: ReadS [Max a] # readPrec :: ReadPrec (Max a) # readListPrec :: ReadPrec [Max a] #
Read a => Read (Min a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods readsPrec :: Int -> ReadS (Min a) # readList :: ReadS [Min a] # readPrec :: ReadPrec (Min a) # readListPrec :: ReadPrec [Min a] #
Read m => Read (WrappedMonoid m) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods readsPrec :: Int -> ReadS (WrappedMonoid m) # readList :: ReadS [WrappedMonoid m] # readPrec :: ReadPrec (WrappedMonoid m) # readListPrec :: ReadPrec [WrappedMonoid m] #
Read vertex => Read (SCC vertex) | Since: containers-0.5.9
Instance details Defined in Data.Graph Methods readsPrec :: Int -> ReadS (SCC vertex) # readList :: ReadS [SCC vertex] # readPrec :: ReadPrec (SCC vertex) # readListPrec :: ReadPrec [SCC vertex] #
Read e => Read (IntMap e) |
Instance details Defined in Data.IntMap.Internal Methods readsPrec :: Int -> ReadS (IntMap e) # readList :: ReadS [IntMap e] # readPrec :: ReadPrec (IntMap e) # readListPrec :: ReadPrec [IntMap e] #
Read a => Read (Seq a) |
Instance details Defined in Data.Sequence.Internal Methods readsPrec :: Int -> ReadS (Seq a) # readList :: ReadS [Seq a] # readPrec :: ReadPrec (Seq a) # readListPrec :: ReadPrec [Seq a] #
Read a => Read (ViewL a) |
Instance details Defined in Data.Sequence.Internal Methods readsPrec :: Int -> ReadS (ViewL a) # readList :: ReadS [ViewL a] # readPrec :: ReadPrec (ViewL a) # readListPrec :: ReadPrec [ViewL a] #
Read a => Read (ViewR a) |
Instance details Defined in Data.Sequence.Internal Methods readsPrec :: Int -> ReadS (ViewR a) # readList :: ReadS [ViewR a] # readPrec :: ReadPrec (ViewR a) # readListPrec :: ReadPrec [ViewR a] #
(Read a, Ord a) => Read (Set a) |
Instance details Defined in Data.Set.Internal Methods readsPrec :: Int -> ReadS (Set a) # readList :: ReadS [Set a] # readPrec :: ReadPrec (Set a) # readListPrec :: ReadPrec [Set a] #
Read a => Read (Tree a) |
Instance details Defined in Data.Tree Methods readsPrec :: Int -> ReadS (Tree a) # readList :: ReadS [Tree a] # readPrec :: ReadPrec (Tree a) # readListPrec :: ReadPrec [Tree a] #
Read a => Read (NonEmpty a) | @since base-4.11.0.0
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (NonEmpty a) # readList :: ReadS [NonEmpty a] # readPrec :: ReadPrec (NonEmpty a) # readListPrec :: ReadPrec [NonEmpty a] #
Read a => Read (Down a) | This instance would be equivalent to the derived instances of the `Down` newtype if the `getDown` field were removed @since base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods readsPrec :: Int -> ReadS (Down a) # readList :: ReadS [Down a] # readPrec :: ReadPrec (Down a) # readListPrec :: ReadPrec [Down a] #
Read p => Read (Par1 p) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods readsPrec :: Int -> ReadS (Par1 p) # readList :: ReadS [Par1 p] # readPrec :: ReadPrec (Par1 p) # readListPrec :: ReadPrec [Par1 p] #
(Integral a, Read a) => Read (Ratio a) | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (Ratio a) # readList :: ReadS [Ratio a] # readPrec :: ReadPrec (Ratio a) # readListPrec :: ReadPrec [Ratio a] #
Read a => Read (Array a) |
Instance details Defined in Data.Primitive.Array Methods readsPrec :: Int -> ReadS (Array a) # readList :: ReadS [Array a] # readPrec :: ReadPrec (Array a) # readListPrec :: ReadPrec [Array a] #
Read a => Read (SmallArray a) |
Instance details Defined in Data.Primitive.SmallArray Methods readsPrec :: Int -> ReadS (SmallArray a) # readList :: ReadS [SmallArray a] # readPrec :: ReadPrec (SmallArray a) # readListPrec :: ReadPrec [SmallArray a] #
(Eq a, Hashable a, Read a) => Read (HashSet a) |
Instance details Defined in Data.HashSet.Internal Methods readsPrec :: Int -> ReadS (HashSet a) # readList :: ReadS [HashSet a] # readPrec :: ReadPrec (HashSet a) # readListPrec :: ReadPrec [HashSet a] #
Read a => Read (Vector a) |
Instance details Defined in Data.Vector Methods readsPrec :: Int -> ReadS (Vector a) # readList :: ReadS [Vector a] # readPrec :: ReadPrec (Vector a) # readListPrec :: ReadPrec [Vector a] #
(Read a, Prim a) => Read (Vector a) |
Instance details Defined in Data.Vector.Primitive Methods readsPrec :: Int -> ReadS (Vector a) # readList :: ReadS [Vector a] # readPrec :: ReadPrec (Vector a) # readListPrec :: ReadPrec [Vector a] #
(Read a, Storable a) => Read (Vector a) |
Instance details Defined in Data.Vector.Storable Methods readsPrec :: Int -> ReadS (Vector a) # readList :: ReadS [Vector a] # readPrec :: ReadPrec (Vector a) # readListPrec :: ReadPrec [Vector a] #
Read a => Read (Vector a) |
Instance details Defined in Data.Vector.Strict Methods readsPrec :: Int -> ReadS (Vector a) # readList :: ReadS [Vector a] # readPrec :: ReadPrec (Vector a) # readListPrec :: ReadPrec [Vector a] #
Read a => Read (Maybe a) | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (Maybe a) # readList :: ReadS [Maybe a] # readPrec :: ReadPrec (Maybe a) # readListPrec :: ReadPrec [Maybe a] #
Read a => Read (Solo a) | @since base-4.15
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (Solo a) # readList :: ReadS [Solo a] # readPrec :: ReadPrec (Solo a) # readListPrec :: ReadPrec [Solo a] #
Read a => Read [a] | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS [a] # readList :: ReadS [[a]] # readPrec :: ReadPrec [a] # readListPrec :: ReadPrec [[a]] #
HasResolution a => Read (Fixed a) | Since: base-4.3.0.0
Instance details Defined in Data.Fixed Methods readsPrec :: Int -> ReadS (Fixed a) # readList :: ReadS [Fixed a] # readPrec :: ReadPrec (Fixed a) # readListPrec :: ReadPrec [Fixed a] #
(Read a, Read b) => Read (Arg a b) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods readsPrec :: Int -> ReadS (Arg a b) # readList :: ReadS [Arg a b] # readPrec :: ReadPrec (Arg a b) # readListPrec :: ReadPrec [Arg a b] #
(Ord k, Read k, Read e) => Read (Map k e) |
Instance details Defined in Data.Map.Internal Methods readsPrec :: Int -> ReadS (Map k e) # readList :: ReadS [Map k e] # readPrec :: ReadPrec (Map k e) # readListPrec :: ReadPrec [Map k e] #
(Ix a, Read a, Read b) => Read (Array a b) | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (Array a b) # readList :: ReadS [Array a b] # readPrec :: ReadPrec (Array a b) # readListPrec :: ReadPrec [Array a b] #
(Read a, Read b) => Read (Either a b) | @since base-3.0
Instance details Defined in GHC.Internal.Data.Either Methods readsPrec :: Int -> ReadS (Either a b) # readList :: ReadS [Either a b] # readPrec :: ReadPrec (Either a b) # readListPrec :: ReadPrec [Either a b] #
Read (U1 p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods readsPrec :: Int -> ReadS (U1 p) # readList :: ReadS [U1 p] # readPrec :: ReadPrec (U1 p) # readListPrec :: ReadPrec [U1 p] #
Read (V1 p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods readsPrec :: Int -> ReadS (V1 p) # readList :: ReadS [V1 p] # readPrec :: ReadPrec (V1 p) # readListPrec :: ReadPrec [V1 p] #
(Read1 f, Read a) => Read (Lift f a) |
Instance details Defined in Control.Applicative.Lift Methods readsPrec :: Int -> ReadS (Lift f a) # readList :: ReadS [Lift f a] # readPrec :: ReadPrec (Lift f a) # readListPrec :: ReadPrec [Lift f a] #
(Read1 m, Read a) => Read (MaybeT m a) |
Instance details Defined in Control.Monad.Trans.Maybe Methods readsPrec :: Int -> ReadS (MaybeT m a) # readList :: ReadS [MaybeT m a] # readPrec :: ReadPrec (MaybeT m a) # readListPrec :: ReadPrec [MaybeT m a] #
(Eq k, Hashable k, Read k, Read e) => Read (HashMap k e) |
Instance details Defined in Data.HashMap.Internal Methods readsPrec :: Int -> ReadS (HashMap k e) # readList :: ReadS [HashMap k e] # readPrec :: ReadPrec (HashMap k e) # readListPrec :: ReadPrec [HashMap k e] #
(Read a, Read b) => Read (a, b) | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (a, b) # readList :: ReadS [(a, b)] # readPrec :: ReadPrec (a, b) # readListPrec :: ReadPrec [(a, b)] #
Read (f p) => Read (Rec1 f p) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods readsPrec :: Int -> ReadS (Rec1 f p) # readList :: ReadS [Rec1 f p] # readPrec :: ReadPrec (Rec1 f p) # readListPrec :: ReadPrec [Rec1 f p] #
(Read1 f, Read a) => Read (Backwards f a) |
Instance details Defined in Control.Applicative.Backwards Methods readsPrec :: Int -> ReadS (Backwards f a) # readList :: ReadS [Backwards f a] # readPrec :: ReadPrec (Backwards f a) # readListPrec :: ReadPrec [Backwards f a] #
(Read e, Read1 m, Read a) => Read (ExceptT e m a) |
Instance details Defined in Control.Monad.Trans.Except Methods readsPrec :: Int -> ReadS (ExceptT e m a) # readList :: ReadS [ExceptT e m a] # readPrec :: ReadPrec (ExceptT e m a) # readListPrec :: ReadPrec [ExceptT e m a] #
(Read1 f, Read a) => Read (IdentityT f a) |
Instance details Defined in Control.Monad.Trans.Identity Methods readsPrec :: Int -> ReadS (IdentityT f a) # readList :: ReadS [IdentityT f a] # readPrec :: ReadPrec (IdentityT f a) # readListPrec :: ReadPrec [IdentityT f a] #
(Read w, Read1 m, Read a) => Read (WriterT w m a) |
Instance details Defined in Control.Monad.Trans.Writer.Lazy Methods readsPrec :: Int -> ReadS (WriterT w m a) # readList :: ReadS [WriterT w m a] # readPrec :: ReadPrec (WriterT w m a) # readListPrec :: ReadPrec [WriterT w m a] #
(Read w, Read1 m, Read a) => Read (WriterT w m a) |
Instance details Defined in Control.Monad.Trans.Writer.Strict Methods readsPrec :: Int -> ReadS (WriterT w m a) # readList :: ReadS [WriterT w m a] # readPrec :: ReadPrec (WriterT w m a) # readListPrec :: ReadPrec [WriterT w m a] #
Read a => Read (Constant a b) |
Instance details Defined in Data.Functor.Constant Methods readsPrec :: Int -> ReadS (Constant a b) # readList :: ReadS [Constant a b] # readPrec :: ReadPrec (Constant a b) # readListPrec :: ReadPrec [Constant a b] #
(Read1 f, Read a) => Read (Reverse f a) |
Instance details Defined in Data.Functor.Reverse Methods readsPrec :: Int -> ReadS (Reverse f a) # readList :: ReadS [Reverse f a] # readPrec :: ReadPrec (Reverse f a) # readListPrec :: ReadPrec [Reverse f a] #
(Read a, Read b, Read c) => Read (a, b, c) | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (a, b, c) # readList :: ReadS [(a, b, c)] # readPrec :: ReadPrec (a, b, c) # readListPrec :: ReadPrec [(a, b, c)] #
(Read (f a), Read (g a)) => Read (Product f g a) | Since: base-4.18.0.0
Instance details Defined in Data.Functor.Product Methods readsPrec :: Int -> ReadS (Product f g a) # readList :: ReadS [Product f g a] # readPrec :: ReadPrec (Product f g a) # readListPrec :: ReadPrec [Product f g a] #
(Read (f a), Read (g a)) => Read (Sum f g a) | Since: base-4.18.0.0
Instance details Defined in Data.Functor.Sum Methods readsPrec :: Int -> ReadS (Sum f g a) # readList :: ReadS [Sum f g a] # readPrec :: ReadPrec (Sum f g a) # readListPrec :: ReadPrec [Sum f g a] #
(Read (f p), Read (g p)) => Read ((f :*: g) p) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods readsPrec :: Int -> ReadS ((f :*: g) p) # readList :: ReadS [(f :*: g) p] # readPrec :: ReadPrec ((f :*: g) p) # readListPrec :: ReadPrec [(f :*: g) p] #
(Read (f p), Read (g p)) => Read ((f :+: g) p) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods readsPrec :: Int -> ReadS ((f :+: g) p) # readList :: ReadS [(f :+: g) p] # readPrec :: ReadPrec ((f :+: g) p) # readListPrec :: ReadPrec [(f :+: g) p] #
Read c => Read (K1 i c p) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods readsPrec :: Int -> ReadS (K1 i c p) # readList :: ReadS [K1 i c p] # readPrec :: ReadPrec (K1 i c p) # readListPrec :: ReadPrec [K1 i c p] #
(Read a, Read b, Read c, Read d) => Read (a, b, c, d) | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (a, b, c, d) # readList :: ReadS [(a, b, c, d)] # readPrec :: ReadPrec (a, b, c, d) # readListPrec :: ReadPrec [(a, b, c, d)] #
Read (f (g a)) => Read (Compose f g a) | Since: base-4.18.0.0
Instance details Defined in Data.Functor.Compose Methods readsPrec :: Int -> ReadS (Compose f g a) # readList :: ReadS [Compose f g a] # readPrec :: ReadPrec (Compose f g a) # readListPrec :: ReadPrec [Compose f g a] #
Read (f (g p)) => Read ((f :.: g) p) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods readsPrec :: Int -> ReadS ((f :.: g) p) # readList :: ReadS [(f :.: g) p] # readPrec :: ReadPrec ((f :.: g) p) # readListPrec :: ReadPrec [(f :.: g) p] #
Read (f p) => Read (M1 i c f p) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods readsPrec :: Int -> ReadS (M1 i c f p) # readList :: ReadS [M1 i c f p] # readPrec :: ReadPrec (M1 i c f p) # readListPrec :: ReadPrec [M1 i c f p] #
(Read a, Read b, Read c, Read d, Read e) => Read (a, b, c, d, e) | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e) # readList :: ReadS [(a, b, c, d, e)] # readPrec :: ReadPrec (a, b, c, d, e) # readListPrec :: ReadPrec [(a, b, c, d, e)] #
(Read a, Read b, Read c, Read d, Read e, Read f) => Read (a, b, c, d, e, f) | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f) # readList :: ReadS [(a, b, c, d, e, f)] # readPrec :: ReadPrec (a, b, c, d, e, f) # readListPrec :: ReadPrec [(a, b, c, d, e, f)] #
(Read a, Read b, Read c, Read d, Read e, Read f, Read g) => Read (a, b, c, d, e, f, g) | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f, g) # readList :: ReadS [(a, b, c, d, e, f, g)] # readPrec :: ReadPrec (a, b, c, d, e, f, g) # readListPrec :: ReadPrec [(a, b, c, d, e, f, g)] #
(Read 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-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h) # readList :: ReadS [(a, b, c, d, e, f, g, h)] # readPrec :: ReadPrec (a, b, c, d, e, f, g, h) # readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h)] #
(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i) => Read (a, b, c, d, e, f, g, h, i) | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i) # readList :: ReadS [(a, b, c, d, e, f, g, h, i)] # readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i) # readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i)] #
(Read 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-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j) # readList :: ReadS [(a, b, c, d, e, f, g, h, i, j)] # readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j) # readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j)] #
(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k) => Read (a, b, c, d, e, f, g, h, i, j, k) | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j, k) # readList :: ReadS [(a, b, c, d, e, f, g, h, i, j, k)] # readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j, k) # readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j, k)] #
(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k, Read l) => Read (a, b, c, d, e, f, g, h, i, j, k, l) | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j, k, l) # readList :: ReadS [(a, b, c, d, e, f, g, h, i, j, k, l)] # readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j, k, l) # readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j, k, l)] #
(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k, Read l, Read m) => Read (a, b, c, d, e, f, g, h, i, j, k, l, m) | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j, k, l, m) # readList :: ReadS [(a, b, c, d, e, f, g, h, i, j, k, l, m)] # readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j, k, l, m) # readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j, k, l, m)] #
(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k, Read l, Read m, Read n) => Read (a, b, c, d, e, f, g, h, i, j, k, l, m, n) | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j, k, l, m, n) # readList :: ReadS [(a, b, c, d, e, f, g, h, i, j, k, l, m, n)] # readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j, k, l, m, n) # readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j, k, l, m, n)] #
(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k, Read l, Read m, Read n, Read o) => Read (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) # readList :: ReadS [(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)] # readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) # readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)] #

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

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:

Identity
  ``fmap` `id` == `id``
Composition
  ``fmap` (f . g) == `fmap` f . `fmap` g`

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

fmap

Methods

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

`fmap` is used to apply a function of type `(a -> b)` to a value of type `f a`, where f is a functor, to produce a value of type `f b`. Note that for any type constructor with more than one parameter (e.g., `Either`), only the last type parameter can be modified with `fmap` (e.g., `b` in `Either a b`).

Some type constructors with two parameters or more have a ``Bifunctor`` instance that allows both the last and the penultimate parameters to be mapped over.

#### Examples

Expand

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

    >>> fmap show Nothing
    Nothing
    >>> fmap show (Just 3)
    Just "3"

Convert from an ``Either` Int Int` to an `Either 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)

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

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

#### Examples

Expand

Perform a computation with `Maybe` and replace the result with a constant value if it is `Just`:

    >>> 'a' <$ Just 2
    Just 'a'
    >>> 'a' <$ Nothing
    Nothing

#### Instances

Instances details

Functor Complex | Since: base-4.9.0.0
Instance details Defined in Data.Complex Methods fmap :: (a -> b) -> Complex a -> Complex b # (<$) :: a -> Complex b -> Complex a #
Functor First | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fmap :: (a -> b) -> First a -> First b # (<$) :: a -> First b -> First a #
Functor Last | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fmap :: (a -> b) -> Last a -> Last b # (<$) :: a -> Last b -> Last a #
Functor Max | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fmap :: (a -> b) -> Max a -> Max b # (<$) :: a -> Max b -> Max a #
Functor Min | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fmap :: (a -> b) -> Min a -> Min b # (<$) :: a -> Min b -> Min a #
Functor ArgDescr | Since: base-4.7.0.0
Instance details Defined in System.Console.GetOpt Methods fmap :: (a -> b) -> ArgDescr a -> ArgDescr b # (<$) :: a -> ArgDescr b -> ArgDescr a #
Functor ArgOrder | Since: base-4.7.0.0
Instance details Defined in System.Console.GetOpt Methods fmap :: (a -> b) -> ArgOrder a -> ArgOrder b # (<$) :: a -> ArgOrder b -> ArgOrder a #
Functor OptDescr | Since: base-4.7.0.0
Instance details Defined in System.Console.GetOpt Methods fmap :: (a -> b) -> OptDescr a -> OptDescr b # (<$) :: a -> OptDescr b -> OptDescr a #
Functor Put |
Instance details Defined in Data.ByteString.Builder.Internal Methods fmap :: (a -> b) -> Put a -> Put b # (<$) :: a -> Put b -> Put a #
Functor SCC | Since: containers-0.5.4
Instance details Defined in Data.Graph Methods fmap :: (a -> b) -> SCC a -> SCC b # (<$) :: a -> SCC b -> SCC a #
Functor IntMap |
Instance details Defined in Data.IntMap.Internal Methods fmap :: (a -> b) -> IntMap a -> IntMap b # (<$) :: a -> IntMap b -> IntMap a #
Functor Digit |
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> Digit a -> Digit b # (<$) :: a -> Digit b -> Digit a #
Functor Elem |
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> Elem a -> Elem b # (<$) :: a -> Elem b -> Elem a #
Functor FingerTree |
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> FingerTree a -> FingerTree b # (<$) :: a -> FingerTree b -> FingerTree a #
Functor Node |
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> Node a -> Node b # (<$) :: a -> Node b -> Node a #
Functor Seq |
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> Seq a -> Seq b # (<$) :: a -> Seq b -> Seq a #
Functor ViewL |
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> ViewL a -> ViewL b # (<$) :: a -> ViewL b -> ViewL a #
Functor ViewR |
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> ViewR a -> ViewR b # (<$) :: a -> ViewR b -> ViewR a #
Functor Tree |
Instance details Defined in Data.Tree Methods fmap :: (a -> b) -> Tree a -> Tree b # (<$) :: a -> Tree b -> Tree a #
Functor NonEmpty | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods fmap :: (a -> b) -> NonEmpty a -> NonEmpty b # (<$) :: a -> NonEmpty b -> NonEmpty a #
Functor Down | @since base-4.11.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods fmap :: (a -> b) -> Down a -> Down b # (<$) :: a -> Down b -> Down a #
Functor Par1 | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> Par1 a -> Par1 b # (<$) :: a -> Par1 b -> Par1 a #
Functor P | @since base-4.8.0.0
Instance details Defined in GHC.Internal.Text.ParserCombinators.ReadP Methods fmap :: (a -> b) -> P a -> P b # (<$) :: a -> P b -> P a #
Functor ReadP | @since base-2.01
Instance details Defined in GHC.Internal.Text.ParserCombinators.ReadP Methods fmap :: (a -> b) -> ReadP a -> ReadP b # (<$) :: a -> ReadP b -> ReadP a #
Functor IO | @since base-2.01
Instance details Defined in GHC.Internal.Base Methods fmap :: (a -> b) -> IO a -> IO b # (<$) :: a -> IO b -> IO a #
Functor AnnotDetails |
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods fmap :: (a -> b) -> AnnotDetails a -> AnnotDetails b # (<$) :: a -> AnnotDetails b -> AnnotDetails a #
Functor Doc |
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods fmap :: (a -> b) -> Doc a -> Doc b # (<$) :: a -> Doc b -> Doc a #
Functor Span |
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods fmap :: (a -> b) -> Span a -> Span b # (<$) :: a -> Span b -> Span a #
Functor Array |
Instance details Defined in Data.Primitive.Array Methods fmap :: (a -> b) -> Array a -> Array b # (<$) :: a -> Array b -> Array a #
Functor SmallArray |
Instance details Defined in Data.Primitive.SmallArray Methods fmap :: (a -> b) -> SmallArray a -> SmallArray b # (<$) :: a -> SmallArray b -> SmallArray a #
Functor Vector |
Instance details Defined in Data.Vector Methods fmap :: (a -> b) -> Vector a -> Vector b # (<$) :: a -> Vector b -> Vector a #
Functor Id |
Instance details Defined in Data.Vector.Fusion.Util Methods fmap :: (a -> b) -> Id a -> Id b # (<$) :: a -> Id b -> Id a #
Functor Vector |
Instance details Defined in Data.Vector.Strict Methods fmap :: (a -> b) -> Vector a -> Vector b # (<$) :: a -> Vector b -> Vector a #
Functor Maybe | @since base-2.01
Instance details Defined in GHC.Internal.Base Methods fmap :: (a -> b) -> Maybe a -> Maybe b # (<$) :: a -> Maybe b -> Maybe a #
Functor Solo | @since base-4.15
Instance details Defined in GHC.Internal.Base Methods fmap :: (a -> b) -> Solo a -> Solo b # (<$) :: a -> Solo b -> Solo a #
Functor [] | @since base-2.01
Instance details Defined in GHC.Internal.Base Methods fmap :: (a -> b) -> [a] -> [b] # (<$) :: a -> [b] -> [a] #
Monad m => Functor (WrappedMonad m) | Since: base-2.1
Instance details Defined in Control.Applicative Methods fmap :: (a -> b) -> WrappedMonad m a -> WrappedMonad m b # (<$) :: a -> WrappedMonad m b -> WrappedMonad m a #
Functor (Arg a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fmap :: (a0 -> b) -> Arg a a0 -> Arg a b # (<$) :: a0 -> Arg a b -> Arg a a0 #
Functor (SetM s) |
Instance details Defined in Data.Graph Methods fmap :: (a -> b) -> SetM s a -> SetM s b # (<$) :: a -> SetM s b -> SetM s a #
Functor (Map k) |
Instance details Defined in Data.Map.Internal Methods fmap :: (a -> b) -> Map k a -> Map k b # (<$) :: a -> Map k b -> Map k a #
Arrow a => Functor (ArrowMonad a) | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Control.Arrow Methods fmap :: (a0 -> b) -> ArrowMonad a a0 -> ArrowMonad a b # (<$) :: a0 -> ArrowMonad a b -> ArrowMonad a a0 #
Functor (Either a) | @since base-3.0
Instance details Defined in GHC.Internal.Data.Either Methods fmap :: (a0 -> b) -> Either a a0 -> Either a b # (<$) :: a0 -> Either a b -> Either a a0 #
Functor (U1 :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> U1 a -> U1 b # (<$) :: a -> U1 b -> U1 a #
Functor (V1 :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> V1 a -> V1 b # (<$) :: a -> V1 b -> V1 a #
Functor (IParser t) |
Instance details Defined in Data.Text.Internal.Read Methods fmap :: (a -> b) -> IParser t a -> IParser t b # (<$) :: a -> IParser t b -> IParser t a #
Functor f => Functor (Lift f) |
Instance details Defined in Control.Applicative.Lift Methods fmap :: (a -> b) -> Lift f a -> Lift f b # (<$) :: a -> Lift f b -> Lift f a #
Functor m => Functor (MaybeT m) |
Instance details Defined in Control.Monad.Trans.Maybe Methods fmap :: (a -> b) -> MaybeT m a -> MaybeT m b # (<$) :: a -> MaybeT m b -> MaybeT m a #
Functor (HashMap k) |
Instance details Defined in Data.HashMap.Internal Methods fmap :: (a -> b) -> HashMap k a -> HashMap k b # (<$) :: a -> HashMap k b -> HashMap k a #
Functor ((,) a) | @since base-2.01
Instance details Defined in GHC.Internal.Base Methods fmap :: (a0 -> b) -> (a, a0) -> (a, b) # (<$) :: a0 -> (a, b) -> (a, a0) #
Arrow a => Functor (WrappedArrow a b) | Since: base-2.1
Instance details Defined in Control.Applicative Methods fmap :: (a0 -> b0) -> WrappedArrow a b a0 -> WrappedArrow a b b0 # (<$) :: a0 -> WrappedArrow a b b0 -> WrappedArrow a b a0 #
(Applicative f, Monad f) => Functor (WhenMissing f x) | Since: containers-0.5.9
Instance details Defined in Data.IntMap.Internal Methods fmap :: (a -> b) -> WhenMissing f x a -> WhenMissing f x b # (<$) :: a -> WhenMissing f x b -> WhenMissing f x a #
Functor m => Functor (Kleisli m a) | @since base-4.14.0.0
Instance details Defined in GHC.Internal.Control.Arrow Methods fmap :: (a0 -> b) -> Kleisli m a a0 -> Kleisli m a b # (<$) :: a0 -> Kleisli m a b -> Kleisli m a a0 #
(Generic1 f, Functor (Rep1 f)) => Functor (Generically1 f) | @since base-4.17.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> Generically1 f a -> Generically1 f b # (<$) :: a -> Generically1 f b -> Generically1 f a #
Functor f => Functor (Rec1 f) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> Rec1 f a -> Rec1 f b # (<$) :: a -> Rec1 f b -> Rec1 f a #
Functor (URec (Ptr ()) :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> URec (Ptr ()) a -> URec (Ptr ()) b # (<$) :: a -> URec (Ptr ()) b -> URec (Ptr ()) a #
Functor (URec Char :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> URec Char a -> URec Char b # (<$) :: a -> URec Char b -> URec Char a #
Functor (URec Double :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> URec Double a -> URec Double b # (<$) :: a -> URec Double b -> URec Double a #
Functor (URec Float :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> URec Float a -> URec Float b # (<$) :: a -> URec Float b -> URec Float a #
Functor (URec Int :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> URec Int a -> URec Int b # (<$) :: a -> URec Int b -> URec Int a #
Functor (URec Word :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> URec Word a -> URec Word b # (<$) :: a -> URec Word b -> URec Word a #
Functor f => Functor (Backwards f) | Derived instance.
Instance details Defined in Control.Applicative.Backwards Methods fmap :: (a -> b) -> Backwards f a -> Backwards f b # (<$) :: a -> Backwards f b -> Backwards f a #
Functor m => Functor (AccumT w m) |
Instance details Defined in Control.Monad.Trans.Accum Methods fmap :: (a -> b) -> AccumT w m a -> AccumT w m b # (<$) :: a -> AccumT w m b -> AccumT w m a #
Functor m => Functor (ExceptT e m) |
Instance details Defined in Control.Monad.Trans.Except Methods fmap :: (a -> b) -> ExceptT e m a -> ExceptT e m b # (<$) :: a -> ExceptT e m b -> ExceptT e m a #
Functor m => Functor (IdentityT m) |
Instance details Defined in Control.Monad.Trans.Identity Methods fmap :: (a -> b) -> IdentityT m a -> IdentityT m b # (<$) :: a -> IdentityT m b -> IdentityT m a #
Functor m => Functor (ReaderT r m) |
Instance details Defined in Control.Monad.Trans.Reader Methods fmap :: (a -> b) -> ReaderT r m a -> ReaderT r m b # (<$) :: a -> ReaderT r m b -> ReaderT r m a #
Functor m => Functor (SelectT r m) |
Instance details Defined in Control.Monad.Trans.Select Methods fmap :: (a -> b) -> SelectT r m a -> SelectT r m b # (<$) :: a -> SelectT r m b -> SelectT r m a #
Functor m => Functor (StateT s m) |
Instance details Defined in Control.Monad.Trans.State.Lazy Methods fmap :: (a -> b) -> StateT s m a -> StateT s m b # (<$) :: a -> StateT s m b -> StateT s m a #
Functor m => Functor (StateT s m) |
Instance details Defined in Control.Monad.Trans.State.Strict Methods fmap :: (a -> b) -> StateT s m a -> StateT s m b # (<$) :: a -> StateT s m b -> StateT s m a #
Functor m => Functor (WriterT w m) |
Instance details Defined in Control.Monad.Trans.Writer.CPS Methods fmap :: (a -> b) -> WriterT w m a -> WriterT w m b # (<$) :: a -> WriterT w m b -> WriterT w m a #
Functor m => Functor (WriterT w m) |
Instance details Defined in Control.Monad.Trans.Writer.Lazy Methods fmap :: (a -> b) -> WriterT w m a -> WriterT w m b # (<$) :: a -> WriterT w m b -> WriterT w m a #
Functor m => Functor (WriterT w m) |
Instance details Defined in Control.Monad.Trans.Writer.Strict Methods fmap :: (a -> b) -> WriterT w m a -> WriterT w m b # (<$) :: a -> WriterT w m b -> WriterT w m a #
Functor (Constant a :: Type -> Type) |
Instance details Defined in Data.Functor.Constant Methods fmap :: (a0 -> b) -> Constant a a0 -> Constant a b # (<$) :: a0 -> Constant a b -> Constant a a0 #
Functor f => Functor (Reverse f) | Derived instance.
Instance details Defined in Data.Functor.Reverse Methods fmap :: (a -> b) -> Reverse f a -> Reverse f b # (<$) :: a -> Reverse f b -> Reverse f a #
Monad m => Functor (Bundle m v) |
Instance details Defined in Data.Vector.Fusion.Bundle.Monadic Methods fmap :: (a -> b) -> Bundle m v a -> Bundle m v b # (<$) :: a -> Bundle m v b -> Bundle m v a #
Functor ((,,) a b) | @since base-4.14.0.0
Instance details Defined in GHC.Internal.Base Methods fmap :: (a0 -> b0) -> (a, b, a0) -> (a, b, b0) # (<$) :: a0 -> (a, b, b0) -> (a, b, a0) #
(Functor f, Functor g) => Functor (Product f g) | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Product Methods fmap :: (a -> b) -> Product f g a -> Product f g b # (<$) :: a -> Product f g b -> Product f g a #
(Functor f, Functor g) => Functor (Sum f g) | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Sum Methods fmap :: (a -> b) -> Sum f g a -> Sum f g b # (<$) :: a -> Sum f g b -> Sum f g a #
Functor f => Functor (WhenMatched f x y) | Since: containers-0.5.9
Instance details Defined in Data.IntMap.Internal Methods fmap :: (a -> b) -> WhenMatched f x y a -> WhenMatched f x y b # (<$) :: a -> WhenMatched f x y b -> WhenMatched f x y a #
(Applicative f, Monad f) => Functor (WhenMissing f k x) | Since: containers-0.5.9
Instance details Defined in Data.Map.Internal Methods fmap :: (a -> b) -> WhenMissing f k x a -> WhenMissing f k x b # (<$) :: a -> WhenMissing f k x b -> WhenMissing f k x a #
(Functor f, Functor g) => Functor (f :*: g) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> (f :*: g) a -> (f :*: g) b # (<$) :: a -> (f :*: g) b -> (f :*: g) a #
(Functor f, Functor g) => Functor (f :+: g) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> (f :+: g) a -> (f :+: g) b # (<$) :: a -> (f :+: g) b -> (f :+: g) a #
Functor (K1 i c :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> K1 i c a -> K1 i c b # (<$) :: a -> K1 i c b -> K1 i c a #
Functor (ContT r m) |
Instance details Defined in Control.Monad.Trans.Cont Methods fmap :: (a -> b) -> ContT r m a -> ContT r m b # (<$) :: a -> ContT r m b -> ContT r m a #
Functor ((,,,) a b c) | @since base-4.14.0.0
Instance details Defined in GHC.Internal.Base Methods fmap :: (a0 -> b0) -> (a, b, c, a0) -> (a, b, c, b0) # (<$) :: a0 -> (a, b, c, b0) -> (a, b, c, a0) #
Functor ((->) r) | @since base-2.01
Instance details Defined in GHC.Internal.Base Methods fmap :: (a -> b) -> (r -> a) -> r -> b # (<$) :: a -> (r -> b) -> r -> a #
(Functor f, Functor g) => Functor (Compose f g) | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Compose Methods fmap :: (a -> b) -> Compose f g a -> Compose f g b # (<$) :: a -> Compose f g b -> Compose f g a #
Functor f => Functor (WhenMatched f k x y) | Since: containers-0.5.9
Instance details Defined in Data.Map.Internal Methods fmap :: (a -> b) -> WhenMatched f k x y a -> WhenMatched f k x y b # (<$) :: a -> WhenMatched f k x y b -> WhenMatched f k x y a #
(Functor f, Functor g) => Functor (f :.: g) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> (f :.: g) a -> (f :.: g) b # (<$) :: a -> (f :.: g) b -> (f :.: g) a #
Functor f => Functor (M1 i c f) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> M1 i c f a -> M1 i c f b # (<$) :: a -> M1 i c f b -> M1 i c f a #
Functor m => Functor (RWST r w s m) |
Instance details Defined in Control.Monad.Trans.RWS.CPS Methods fmap :: (a -> b) -> RWST r w s m a -> RWST r w s m b # (<$) :: a -> RWST r w s m b -> RWST r w s m a #
Functor m => Functor (RWST r w s m) |
Instance details Defined in Control.Monad.Trans.RWS.Lazy Methods fmap :: (a -> b) -> RWST r w s m a -> RWST r w s m b # (<$) :: a -> RWST r w s m b -> RWST r w s m a #
Functor m => Functor (RWST r w s m) |
Instance details Defined in Control.Monad.Trans.RWS.Strict Methods fmap :: (a -> b) -> RWST r w s m a -> RWST r w s m b # (<$) :: a -> RWST r w s m b -> RWST r w s m a #
Functor ((,,,,) a b c d) | @since base-4.18.0.0
Instance details Defined in GHC.Internal.Base Methods fmap :: (a0 -> b0) -> (a, b, c, d, a0) -> (a, b, c, d, b0) # (<$) :: a0 -> (a, b, c, d, b0) -> (a, b, c, d, a0) #
Functor ((,,,,,) a b c d e) | @since base-4.18.0.0
Instance details Defined in GHC.Internal.Base Methods fmap :: (a0 -> b0) -> (a, b, c, d, e, a0) -> (a, b, c, d, e, b0) # (<$) :: a0 -> (a, b, c, d, e, b0) -> (a, b, c, d, e, a0) #
Functor ((,,,,,,) a b c d e f) | @since base-4.18.0.0
Instance details Defined in GHC.Internal.Base Methods fmap :: (a0 -> b0) -> (a, b, c, d, e, f, a0) -> (a, b, c, d, e, f, b0) # (<$) :: a0 -> (a, b, c, d, e, f, b0) -> (a, b, c, d, e, f, a0) #

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

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

Instances of `Monad` should satisfy the following:

Left identity
  ``return` a `>>=` 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:

-     pure = return

-     m1 <*> m2 = m1 >>= (\x1 -> m2 >>= (\x2 -> return (x1 x2)))

The above laws imply:

-     fmap f xs  =  xs >>= return . f

-     (>>) = (*>)

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 #

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

'`as `>>=` bs`' can be understood as the `do` 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 (fmap f 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 #

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

'`as `>>` bs`' can be understood as the `do` expression

    do as
       bs

or in terms of ``(>>=)`` as

    as >>= const bs

return :: a -> m a #

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

Instances details

Monad Complex | Since: base-4.9.0.0
Instance details Defined in Data.Complex Methods (>>=) :: Complex a -> (a -> Complex b) -> Complex b # (>>) :: Complex a -> Complex b -> Complex b # return :: a -> Complex a #
Monad First | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (>>=) :: First a -> (a -> First b) -> First b # (>>) :: First a -> First b -> First b # return :: a -> First a #
Monad Last | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (>>=) :: Last a -> (a -> Last b) -> Last b # (>>) :: Last a -> Last b -> Last b # return :: a -> Last a #
Monad Max | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (>>=) :: Max a -> (a -> Max b) -> Max b # (>>) :: Max a -> Max b -> Max b # return :: a -> Max a #
Monad Min | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (>>=) :: Min a -> (a -> Min b) -> Min b # (>>) :: Min a -> Min b -> Min b # return :: a -> Min a #
Monad Put |
Instance details Defined in Data.ByteString.Builder.Internal Methods (>>=) :: Put a -> (a -> Put b) -> Put b # (>>) :: Put a -> Put b -> Put b # return :: a -> Put a #
Monad Seq |
Instance details Defined in Data.Sequence.Internal Methods (>>=) :: Seq a -> (a -> Seq b) -> Seq b # (>>) :: Seq a -> Seq b -> Seq b # return :: a -> Seq a #
Monad Tree |
Instance details Defined in Data.Tree Methods (>>=) :: Tree a -> (a -> Tree b) -> Tree b # (>>) :: Tree a -> Tree b -> Tree b # return :: a -> Tree a #
Monad NonEmpty | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods (>>=) :: NonEmpty a -> (a -> NonEmpty b) -> NonEmpty b # (>>) :: NonEmpty a -> NonEmpty b -> NonEmpty b # return :: a -> NonEmpty a #
Monad Down | @since base-4.11.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods (>>=) :: Down a -> (a -> Down b) -> Down b # (>>) :: Down a -> Down b -> Down b # return :: a -> Down a #
Monad Par1 | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (>>=) :: Par1 a -> (a -> Par1 b) -> Par1 b # (>>) :: Par1 a -> Par1 b -> Par1 b # return :: a -> Par1 a #
Monad P | @since base-2.01
Instance details Defined in GHC.Internal.Text.ParserCombinators.ReadP Methods (>>=) :: P a -> (a -> P b) -> P b # (>>) :: P a -> P b -> P b # return :: a -> P a #
Monad ReadP | @since base-2.01
Instance details Defined in GHC.Internal.Text.ParserCombinators.ReadP Methods (>>=) :: ReadP a -> (a -> ReadP b) -> ReadP b # (>>) :: ReadP a -> ReadP b -> ReadP b # return :: a -> ReadP a #
Monad IO | @since base-2.01
Instance details Defined in GHC.Internal.Base Methods (>>=) :: IO a -> (a -> IO b) -> IO b # (>>) :: IO a -> IO b -> IO b # return :: a -> IO a #
Monad Array |
Instance details Defined in Data.Primitive.Array Methods (>>=) :: Array a -> (a -> Array b) -> Array b # (>>) :: Array a -> Array b -> Array b # return :: a -> Array a #
Monad SmallArray |
Instance details Defined in Data.Primitive.SmallArray Methods (>>=) :: SmallArray a -> (a -> SmallArray b) -> SmallArray b # (>>) :: SmallArray a -> SmallArray b -> SmallArray b # return :: a -> SmallArray a #
Monad Vector |
Instance details Defined in Data.Vector Methods (>>=) :: Vector a -> (a -> Vector b) -> Vector b # (>>) :: Vector a -> Vector b -> Vector b # return :: a -> Vector a #
Monad Id |
Instance details Defined in Data.Vector.Fusion.Util Methods (>>=) :: Id a -> (a -> Id b) -> Id b # (>>) :: Id a -> Id b -> Id b # return :: a -> Id a #
Monad Vector |
Instance details Defined in Data.Vector.Strict Methods (>>=) :: Vector a -> (a -> Vector b) -> Vector b # (>>) :: Vector a -> Vector b -> Vector b # return :: a -> Vector a #
Monad Maybe | @since base-2.01
Instance details Defined in GHC.Internal.Base Methods (>>=) :: Maybe a -> (a -> Maybe b) -> Maybe b # (>>) :: Maybe a -> Maybe b -> Maybe b # return :: a -> Maybe a #
Monad Solo | @since base-4.15
Instance details Defined in GHC.Internal.Base Methods (>>=) :: Solo a -> (a -> Solo b) -> Solo b # (>>) :: Solo a -> Solo b -> Solo b # return :: a -> Solo a #
Monad [] | @since base-2.01
Instance details Defined in GHC.Internal.Base Methods (>>=) :: [a] -> (a -> [b]) -> [b] # (>>) :: [a] -> [b] -> [b] # return :: a -> [a] #
Monad m => Monad (WrappedMonad m) | Since: base-4.7.0.0
Instance details Defined in Control.Applicative Methods (>>=) :: WrappedMonad m a -> (a -> WrappedMonad m b) -> WrappedMonad m b # (>>) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m b # return :: a -> WrappedMonad m a #
Monad (SetM s) |
Instance details Defined in Data.Graph Methods (>>=) :: SetM s a -> (a -> SetM s b) -> SetM s b # (>>) :: SetM s a -> SetM s b -> SetM s b # return :: a -> SetM s a #
ArrowApply a => Monad (ArrowMonad a) | @since base-2.01
Instance details Defined in GHC.Internal.Control.Arrow Methods (>>=) :: ArrowMonad a a0 -> (a0 -> ArrowMonad a b) -> ArrowMonad a b # (>>) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a b # return :: a0 -> ArrowMonad a a0 #
Monad (Either e) | @since base-4.4.0.0
Instance details Defined in GHC.Internal.Data.Either Methods (>>=) :: Either e a -> (a -> Either e b) -> Either e b # (>>) :: Either e a -> Either e b -> Either e b # return :: a -> Either e a #
Monad (U1 :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (>>=) :: U1 a -> (a -> U1 b) -> U1 b # (>>) :: U1 a -> U1 b -> U1 b # return :: a -> U1 a #
Monad (IParser t) |
Instance details Defined in Data.Text.Internal.Read Methods (>>=) :: IParser t a -> (a -> IParser t b) -> IParser t b # (>>) :: IParser t a -> IParser t b -> IParser t b # return :: a -> IParser t a #
Monad m => Monad (MaybeT m) |
Instance details Defined in Control.Monad.Trans.Maybe Methods (>>=) :: MaybeT m a -> (a -> MaybeT m b) -> MaybeT m b # (>>) :: MaybeT m a -> MaybeT m b -> MaybeT m b # return :: a -> MaybeT m a #
Monoid a => Monad ((,) a) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods (>>=) :: (a, a0) -> (a0 -> (a, b)) -> (a, b) # (>>) :: (a, a0) -> (a, b) -> (a, b) # return :: a0 -> (a, a0) #
(Applicative f, Monad f) => Monad (WhenMissing f x) | Equivalent to `ReaderT k (ReaderT x (MaybeT f))`. Since: containers-0.5.9
Instance details Defined in Data.IntMap.Internal Methods (>>=) :: WhenMissing f x a -> (a -> WhenMissing f x b) -> WhenMissing f x b # (>>) :: WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x b # return :: a -> WhenMissing f x a #
Monad m => Monad (Kleisli m a) | @since base-4.14.0.0
Instance details Defined in GHC.Internal.Control.Arrow Methods (>>=) :: Kleisli m a a0 -> (a0 -> Kleisli m a b) -> Kleisli m a b # (>>) :: Kleisli m a a0 -> Kleisli m a b -> Kleisli m a b # return :: a0 -> Kleisli m a a0 #
Monad f => Monad (Rec1 f) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (>>=) :: Rec1 f a -> (a -> Rec1 f b) -> Rec1 f b # (>>) :: Rec1 f a -> Rec1 f b -> Rec1 f b # return :: a -> Rec1 f a #
(Monoid w, Functor m, Monad m) => Monad (AccumT w m) |
Instance details Defined in Control.Monad.Trans.Accum Methods (>>=) :: AccumT w m a -> (a -> AccumT w m b) -> AccumT w m b # (>>) :: AccumT w m a -> AccumT w m b -> AccumT w m b # return :: a -> AccumT w m a #
Monad m => Monad (ExceptT e m) |
Instance details Defined in Control.Monad.Trans.Except Methods (>>=) :: ExceptT e m a -> (a -> ExceptT e m b) -> ExceptT e m b # (>>) :: ExceptT e m a -> ExceptT e m b -> ExceptT e m b # return :: a -> ExceptT e m a #
Monad m => Monad (IdentityT m) |
Instance details Defined in Control.Monad.Trans.Identity Methods (>>=) :: IdentityT m a -> (a -> IdentityT m b) -> IdentityT m b # (>>) :: IdentityT m a -> IdentityT m b -> IdentityT m b # return :: a -> IdentityT m a #
Monad m => Monad (ReaderT r m) |
Instance details Defined in Control.Monad.Trans.Reader Methods (>>=) :: ReaderT r m a -> (a -> ReaderT r m b) -> ReaderT r m b # (>>) :: ReaderT r m a -> ReaderT r m b -> ReaderT r m b # return :: a -> ReaderT r m a #
Monad m => Monad (SelectT r m) |
Instance details Defined in Control.Monad.Trans.Select Methods (>>=) :: SelectT r m a -> (a -> SelectT r m b) -> SelectT r m b # (>>) :: SelectT r m a -> SelectT r m b -> SelectT r m b # return :: a -> SelectT r m a #
Monad m => Monad (StateT s m) |
Instance details Defined in Control.Monad.Trans.State.Lazy Methods (>>=) :: StateT s m a -> (a -> StateT s m b) -> StateT s m b # (>>) :: StateT s m a -> StateT s m b -> StateT s m b # return :: a -> StateT s m a #
Monad m => Monad (StateT s m) |
Instance details Defined in Control.Monad.Trans.State.Strict Methods (>>=) :: StateT s m a -> (a -> StateT s m b) -> StateT s m b # (>>) :: StateT s m a -> StateT s m b -> StateT s m b # return :: a -> StateT s m a #
Monad m => Monad (WriterT w m) |
Instance details Defined in Control.Monad.Trans.Writer.CPS Methods (>>=) :: WriterT w m a -> (a -> WriterT w m b) -> WriterT w m b # (>>) :: WriterT w m a -> WriterT w m b -> WriterT w m b # return :: a -> WriterT w m a #
(Monoid w, Monad m) => Monad (WriterT w m) |
Instance details Defined in Control.Monad.Trans.Writer.Lazy Methods (>>=) :: WriterT w m a -> (a -> WriterT w m b) -> WriterT w m b # (>>) :: WriterT w m a -> WriterT w m b -> WriterT w m b # return :: a -> WriterT w m a #
(Monoid w, Monad m) => Monad (WriterT w m) |
Instance details Defined in Control.Monad.Trans.Writer.Strict Methods (>>=) :: WriterT w m a -> (a -> WriterT w m b) -> WriterT w m b # (>>) :: WriterT w m a -> WriterT w m b -> WriterT w m b # return :: a -> WriterT w m a #
Monad m => Monad (Reverse m) | Derived instance.
Instance details Defined in Data.Functor.Reverse Methods (>>=) :: Reverse m a -> (a -> Reverse m b) -> Reverse m b # (>>) :: Reverse m a -> Reverse m b -> Reverse m b # return :: a -> Reverse m a #
(Monoid a, Monoid b) => Monad ((,,) a b) | @since base-4.14.0.0
Instance details Defined in GHC.Internal.Base Methods (>>=) :: (a, b, a0) -> (a0 -> (a, b, b0)) -> (a, b, b0) # (>>) :: (a, b, a0) -> (a, b, b0) -> (a, b, b0) # return :: a0 -> (a, b, a0) #
(Monad f, Monad g) => Monad (Product f g) | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Product Methods (>>=) :: Product f g a -> (a -> Product f g b) -> Product f g b # (>>) :: Product f g a -> Product f g b -> Product f g b # return :: a -> Product f g a #
(Monad f, Applicative f) => Monad (WhenMatched f x y) | Equivalent to `ReaderT Key (ReaderT x (ReaderT y (MaybeT f)))` Since: containers-0.5.9
Instance details Defined in Data.IntMap.Internal Methods (>>=) :: WhenMatched f x y a -> (a -> WhenMatched f x y b) -> WhenMatched f x y b # (>>) :: WhenMatched f x y a -> WhenMatched f x y b -> WhenMatched f x y b # return :: a -> WhenMatched f x y a #
(Applicative f, Monad f) => Monad (WhenMissing f k x) | Equivalent to `ReaderT k (ReaderT x (MaybeT f))` . Since: containers-0.5.9
Instance details Defined in Data.Map.Internal Methods (>>=) :: WhenMissing f k x a -> (a -> WhenMissing f k x b) -> WhenMissing f k x b # (>>) :: WhenMissing f k x a -> WhenMissing f k x b -> WhenMissing f k x b # return :: a -> WhenMissing f k x a #
(Monad f, Monad g) => Monad (f :*: g) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (>>=) :: (f :*: g) a -> (a -> (f :*: g) b) -> (f :*: g) b # (>>) :: (f :*: g) a -> (f :*: g) b -> (f :*: g) b # return :: a -> (f :*: g) a #
Monad (ContT r m) |
Instance details Defined in Control.Monad.Trans.Cont Methods (>>=) :: ContT r m a -> (a -> ContT r m b) -> ContT r m b # (>>) :: ContT r m a -> ContT r m b -> ContT r m b # return :: a -> ContT r m a #
(Monoid a, Monoid b, Monoid c) => Monad ((,,,) a b c) | @since base-4.14.0.0
Instance details Defined in GHC.Internal.Base Methods (>>=) :: (a, b, c, a0) -> (a0 -> (a, b, c, b0)) -> (a, b, c, b0) # (>>) :: (a, b, c, a0) -> (a, b, c, b0) -> (a, b, c, b0) # return :: a0 -> (a, b, c, a0) #
Monad ((->) r) | @since base-2.01
Instance details Defined in GHC.Internal.Base Methods (>>=) :: (r -> a) -> (a -> r -> b) -> r -> b # (>>) :: (r -> a) -> (r -> b) -> r -> b # return :: a -> r -> a #
(Monad f, Applicative f) => Monad (WhenMatched f k x y) | Equivalent to `ReaderT k (ReaderT x (ReaderT y (MaybeT f)))` Since: containers-0.5.9
Instance details Defined in Data.Map.Internal Methods (>>=) :: WhenMatched f k x y a -> (a -> WhenMatched f k x y b) -> WhenMatched f k x y b # (>>) :: WhenMatched f k x y a -> WhenMatched f k x y b -> WhenMatched f k x y b # return :: a -> WhenMatched f k x y a #
Monad f => Monad (M1 i c f) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (>>=) :: M1 i c f a -> (a -> M1 i c f b) -> M1 i c f b # (>>) :: M1 i c f a -> M1 i c f b -> M1 i c f b # return :: a -> M1 i c f a #
Monad m => Monad (RWST r w s m) |
Instance details Defined in Control.Monad.Trans.RWS.CPS Methods (>>=) :: RWST r w s m a -> (a -> RWST r w s m b) -> RWST r w s m b # (>>) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m b # return :: a -> RWST r w s m a #
(Monoid w, Monad m) => Monad (RWST r w s m) |
Instance details Defined in Control.Monad.Trans.RWS.Lazy Methods (>>=) :: RWST r w s m a -> (a -> RWST r w s m b) -> RWST r w s m b # (>>) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m b # return :: a -> RWST r w s m a #
(Monoid w, Monad m) => Monad (RWST r w s m) |
Instance details Defined in Control.Monad.Trans.RWS.Strict Methods (>>=) :: RWST r w s m a -> (a -> RWST r w s m b) -> RWST r w s m b # (>>) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m b # return :: a -> RWST r w s m a #

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

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

    as >>= f == f =<< as

class IsString a where #

`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 #

#### Instances

Instances details

IsString ByteString | Beware: `fromString` truncates multi-byte characters to octets. e.g. "枯朶に烏のとまりけり秋の暮" becomes �6k�nh~�Q��n�
Instance details Defined in Data.ByteString.Internal.Type Methods fromString :: String -> ByteString #
IsString ByteString | Beware: `fromString` truncates multi-byte characters to octets. e.g. "枯朶に烏のとまりけり秋の暮" becomes �6k�nh~�Q��n�
Instance details Defined in Data.ByteString.Lazy.Internal Methods fromString :: String -> ByteString #
IsString ShortByteString | Beware: `fromString` truncates multi-byte characters to octets. e.g. "枯朶に烏のとまりけり秋の暮" becomes �6k�nh~�Q��n�
Instance details Defined in Data.ByteString.Short.Internal Methods fromString :: String -> ShortByteString #
IsString Doc |
Instance details Defined in Text.PrettyPrint.HughesPJ Methods fromString :: String -> Doc #
IsString Builder | Performs replacement on invalid scalar values:
    >>> :set -XOverloadedStrings
    >>> "\55555" :: Builder
    "\65533"
Instance details Defined in Data.Text.Internal.Builder Methods fromString :: String -> Builder #
a ~ Char => IsString (Seq a) | Since: containers-0.5.7
Instance details Defined in Data.Sequence.Internal Methods fromString :: String -> Seq a #
IsString a => IsString (Identity a) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.String Methods fromString :: String -> Identity a #
(IsString a, Hashable a) => IsString (Hashed a) |
Instance details Defined in Data.Hashable.Class Methods fromString :: String -> Hashed a #
IsString (Doc a) |
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods fromString :: String -> Doc a #
a ~ Char => IsString [a] | `(a ~ Char)` context was introduced in `4.9.0.0` @since base-2.01
Instance details Defined in GHC.Internal.Data.String Methods fromString :: String -> [a] #
IsString a => IsString (Const a b) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.String Methods fromString :: String -> Const a b #

## Numeric type classes

class Num a where #

Basic numeric class.

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

Associativity of `(`+`)`
  `(x + y) + z` = `x + (y + z)`
Commutativity of `(`+`)`
  `x + y` = `y + x`
``fromInteger` 0` is the additive identity
  `x + fromInteger 0` = `x`
`negate` gives the additive inverse
  `x + negate x` = `fromInteger 0`
Associativity of `(`*`)`
  `(x * y) * z` = `x * (y * z)`
``fromInteger` 1` is the multiplicative identity
  `x * fromInteger 1` = `x` and `fromInteger 1 * x` = `x`
Distributivity of `(`*`)` with respect to `(`+`)`
  `a * (b + c)` = `(a * b) + (a * c)` and `(b + c) * a` = `(b * a) + (c * a)`
Coherence with `toInteger`
  if the type also implements `Integral`, then `fromInteger` is a left inverse for `toInteger`, 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.

Minimal complete definition

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

Methods

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

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

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

negate :: a -> a #

Unary negation.

abs :: a -> a #

Absolute value.

signum :: a -> a #

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

    abs x * signum x == x

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

fromInteger :: Integer -> a #

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

#### Instances

Instances details

Num CBool |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CBool -> CBool -> CBool # (-) :: CBool -> CBool -> CBool # (*) :: CBool -> CBool -> CBool # negate :: CBool -> CBool # abs :: CBool -> CBool # signum :: CBool -> CBool # fromInteger :: Integer -> CBool #
Num CChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CChar -> CChar -> CChar # (-) :: CChar -> CChar -> CChar # (*) :: CChar -> CChar -> CChar # negate :: CChar -> CChar # abs :: CChar -> CChar # signum :: CChar -> CChar # fromInteger :: Integer -> CChar #
Num CClock |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CClock -> CClock -> CClock # (-) :: CClock -> CClock -> CClock # (*) :: CClock -> CClock -> CClock # negate :: CClock -> CClock # abs :: CClock -> CClock # signum :: CClock -> CClock # fromInteger :: Integer -> CClock #
Num CDouble |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CDouble -> CDouble -> CDouble # (-) :: CDouble -> CDouble -> CDouble # (*) :: CDouble -> CDouble -> CDouble # negate :: CDouble -> CDouble # abs :: CDouble -> CDouble # signum :: CDouble -> CDouble # fromInteger :: Integer -> CDouble #
Num CFloat |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CFloat -> CFloat -> CFloat # (-) :: CFloat -> CFloat -> CFloat # (*) :: CFloat -> CFloat -> CFloat # negate :: CFloat -> CFloat # abs :: CFloat -> CFloat # signum :: CFloat -> CFloat # fromInteger :: Integer -> CFloat #
Num CInt |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CInt -> CInt -> CInt # (-) :: CInt -> CInt -> CInt # (*) :: CInt -> CInt -> CInt # negate :: CInt -> CInt # abs :: CInt -> CInt # signum :: CInt -> CInt # fromInteger :: Integer -> CInt #
Num CIntMax |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CIntMax -> CIntMax -> CIntMax # (-) :: CIntMax -> CIntMax -> CIntMax # (*) :: CIntMax -> CIntMax -> CIntMax # negate :: CIntMax -> CIntMax # abs :: CIntMax -> CIntMax # signum :: CIntMax -> CIntMax # fromInteger :: Integer -> CIntMax #
Num CIntPtr |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CIntPtr -> CIntPtr -> CIntPtr # (-) :: CIntPtr -> CIntPtr -> CIntPtr # (*) :: CIntPtr -> CIntPtr -> CIntPtr # negate :: CIntPtr -> CIntPtr # abs :: CIntPtr -> CIntPtr # signum :: CIntPtr -> CIntPtr # fromInteger :: Integer -> CIntPtr #
Num CLLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CLLong -> CLLong -> CLLong # (-) :: CLLong -> CLLong -> CLLong # (*) :: CLLong -> CLLong -> CLLong # negate :: CLLong -> CLLong # abs :: CLLong -> CLLong # signum :: CLLong -> CLLong # fromInteger :: Integer -> CLLong #
Num CLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CLong -> CLong -> CLong # (-) :: CLong -> CLong -> CLong # (*) :: CLong -> CLong -> CLong # negate :: CLong -> CLong # abs :: CLong -> CLong # signum :: CLong -> CLong # fromInteger :: Integer -> CLong #
Num CPtrdiff |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CPtrdiff -> CPtrdiff -> CPtrdiff # (-) :: CPtrdiff -> CPtrdiff -> CPtrdiff # (*) :: CPtrdiff -> CPtrdiff -> CPtrdiff # negate :: CPtrdiff -> CPtrdiff # abs :: CPtrdiff -> CPtrdiff # signum :: CPtrdiff -> CPtrdiff # fromInteger :: Integer -> CPtrdiff #
Num CSChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CSChar -> CSChar -> CSChar # (-) :: CSChar -> CSChar -> CSChar # (*) :: CSChar -> CSChar -> CSChar # negate :: CSChar -> CSChar # abs :: CSChar -> CSChar # signum :: CSChar -> CSChar # fromInteger :: Integer -> CSChar #
Num CSUSeconds |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CSUSeconds -> CSUSeconds -> CSUSeconds # (-) :: CSUSeconds -> CSUSeconds -> CSUSeconds # (*) :: CSUSeconds -> CSUSeconds -> CSUSeconds # negate :: CSUSeconds -> CSUSeconds # abs :: CSUSeconds -> CSUSeconds # signum :: CSUSeconds -> CSUSeconds # fromInteger :: Integer -> CSUSeconds #
Num CShort |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CShort -> CShort -> CShort # (-) :: CShort -> CShort -> CShort # (*) :: CShort -> CShort -> CShort # negate :: CShort -> CShort # abs :: CShort -> CShort # signum :: CShort -> CShort # fromInteger :: Integer -> CShort #
Num CSigAtomic |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CSigAtomic -> CSigAtomic -> CSigAtomic # (-) :: CSigAtomic -> CSigAtomic -> CSigAtomic # (*) :: CSigAtomic -> CSigAtomic -> CSigAtomic # negate :: CSigAtomic -> CSigAtomic # abs :: CSigAtomic -> CSigAtomic # signum :: CSigAtomic -> CSigAtomic # fromInteger :: Integer -> CSigAtomic #
Num CSize |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CSize -> CSize -> CSize # (-) :: CSize -> CSize -> CSize # (*) :: CSize -> CSize -> CSize # negate :: CSize -> CSize # abs :: CSize -> CSize # signum :: CSize -> CSize # fromInteger :: Integer -> CSize #
Num CTime |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CTime -> CTime -> CTime # (-) :: CTime -> CTime -> CTime # (*) :: CTime -> CTime -> CTime # negate :: CTime -> CTime # abs :: CTime -> CTime # signum :: CTime -> CTime # fromInteger :: Integer -> CTime #
Num CUChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CUChar -> CUChar -> CUChar # (-) :: CUChar -> CUChar -> CUChar # (*) :: CUChar -> CUChar -> CUChar # negate :: CUChar -> CUChar # abs :: CUChar -> CUChar # signum :: CUChar -> CUChar # fromInteger :: Integer -> CUChar #
Num CUInt |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CUInt -> CUInt -> CUInt # (-) :: CUInt -> CUInt -> CUInt # (*) :: CUInt -> CUInt -> CUInt # negate :: CUInt -> CUInt # abs :: CUInt -> CUInt # signum :: CUInt -> CUInt # fromInteger :: Integer -> CUInt #
Num CUIntMax |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CUIntMax -> CUIntMax -> CUIntMax # (-) :: CUIntMax -> CUIntMax -> CUIntMax # (*) :: CUIntMax -> CUIntMax -> CUIntMax # negate :: CUIntMax -> CUIntMax # abs :: CUIntMax -> CUIntMax # signum :: CUIntMax -> CUIntMax # fromInteger :: Integer -> CUIntMax #
Num CUIntPtr |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CUIntPtr -> CUIntPtr -> CUIntPtr # (-) :: CUIntPtr -> CUIntPtr -> CUIntPtr # (*) :: CUIntPtr -> CUIntPtr -> CUIntPtr # negate :: CUIntPtr -> CUIntPtr # abs :: CUIntPtr -> CUIntPtr # signum :: CUIntPtr -> CUIntPtr # fromInteger :: Integer -> CUIntPtr #
Num CULLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CULLong -> CULLong -> CULLong # (-) :: CULLong -> CULLong -> CULLong # (*) :: CULLong -> CULLong -> CULLong # negate :: CULLong -> CULLong # abs :: CULLong -> CULLong # signum :: CULLong -> CULLong # fromInteger :: Integer -> CULLong #
Num CULong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CULong -> CULong -> CULong # (-) :: CULong -> CULong -> CULong # (*) :: CULong -> CULong -> CULong # negate :: CULong -> CULong # abs :: CULong -> CULong # signum :: CULong -> CULong # fromInteger :: Integer -> CULong #
Num CUSeconds |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CUSeconds -> CUSeconds -> CUSeconds # (-) :: CUSeconds -> CUSeconds -> CUSeconds # (*) :: CUSeconds -> CUSeconds -> CUSeconds # negate :: CUSeconds -> CUSeconds # abs :: CUSeconds -> CUSeconds # signum :: CUSeconds -> CUSeconds # fromInteger :: Integer -> CUSeconds #
Num CUShort |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CUShort -> CUShort -> CUShort # (-) :: CUShort -> CUShort -> CUShort # (*) :: CUShort -> CUShort -> CUShort # negate :: CUShort -> CUShort # abs :: CUShort -> CUShort # signum :: CUShort -> CUShort # fromInteger :: Integer -> CUShort #
Num CWchar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CWchar -> CWchar -> CWchar # (-) :: CWchar -> CWchar -> CWchar # (*) :: CWchar -> CWchar -> CWchar # negate :: CWchar -> CWchar # abs :: CWchar -> CWchar # signum :: CWchar -> CWchar # fromInteger :: Integer -> CWchar #
Num Int16 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods (+) :: Int16 -> Int16 -> Int16 # (-) :: Int16 -> Int16 -> Int16 # (*) :: Int16 -> Int16 -> Int16 # negate :: Int16 -> Int16 # abs :: Int16 -> Int16 # signum :: Int16 -> Int16 # fromInteger :: Integer -> Int16 #
Num Int32 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods (+) :: Int32 -> Int32 -> Int32 # (-) :: Int32 -> Int32 -> Int32 # (*) :: Int32 -> Int32 -> Int32 # negate :: Int32 -> Int32 # abs :: Int32 -> Int32 # signum :: Int32 -> Int32 # fromInteger :: Integer -> Int32 #
Num Int64 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods (+) :: Int64 -> Int64 -> Int64 # (-) :: Int64 -> Int64 -> Int64 # (*) :: Int64 -> Int64 -> Int64 # negate :: Int64 -> Int64 # abs :: Int64 -> Int64 # signum :: Int64 -> Int64 # fromInteger :: Integer -> Int64 #
Num Int8 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods (+) :: Int8 -> Int8 -> Int8 # (-) :: Int8 -> Int8 -> Int8 # (*) :: Int8 -> Int8 -> Int8 # negate :: Int8 -> Int8 # abs :: Int8 -> Int8 # signum :: Int8 -> Int8 # fromInteger :: Integer -> Int8 #
Num Word16 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods (+) :: Word16 -> Word16 -> Word16 # (-) :: Word16 -> Word16 -> Word16 # (*) :: Word16 -> Word16 -> Word16 # negate :: Word16 -> Word16 # abs :: Word16 -> Word16 # signum :: Word16 -> Word16 # fromInteger :: Integer -> Word16 #
Num Word32 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods (+) :: Word32 -> Word32 -> Word32 # (-) :: Word32 -> Word32 -> Word32 # (*) :: Word32 -> Word32 -> Word32 # negate :: Word32 -> Word32 # abs :: Word32 -> Word32 # signum :: Word32 -> Word32 # fromInteger :: Integer -> Word32 #
Num Word64 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods (+) :: Word64 -> Word64 -> Word64 # (-) :: Word64 -> Word64 -> Word64 # (*) :: Word64 -> Word64 -> Word64 # negate :: Word64 -> Word64 # abs :: Word64 -> Word64 # signum :: Word64 -> Word64 # fromInteger :: Integer -> Word64 #
Num Word8 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods (+) :: Word8 -> Word8 -> Word8 # (-) :: Word8 -> Word8 -> Word8 # (*) :: Word8 -> Word8 -> Word8 # negate :: Word8 -> Word8 # abs :: Word8 -> Word8 # signum :: Word8 -> Word8 # fromInteger :: Integer -> Word8 #
Num I8 |
Instance details Defined in Data.Text.Foreign Methods (+) :: I8 -> I8 -> I8 # (-) :: I8 -> I8 -> I8 # (*) :: I8 -> I8 -> I8 # negate :: I8 -> I8 # abs :: I8 -> I8 # signum :: I8 -> I8 # fromInteger :: Integer -> I8 #
Num Size |
Instance details Defined in Data.Text.Internal.Fusion.Size Methods (+) :: Size -> Size -> Size # (-) :: Size -> Size -> Size # (*) :: Size -> Size -> Size # negate :: Size -> Size # abs :: Size -> Size # signum :: Size -> Size # fromInteger :: Integer -> Size #
Num Size |
Instance details Defined in Data.Vector.Fusion.Bundle.Size Methods (+) :: Size -> Size -> Size # (-) :: Size -> Size -> Size # (*) :: Size -> Size -> Size # negate :: Size -> Size # abs :: Size -> Size # signum :: Size -> Size # fromInteger :: Integer -> Size #
Num Integer | @since base-2.01
Instance details Defined in GHC.Internal.Num Methods (+) :: Integer -> Integer -> Integer # (-) :: Integer -> Integer -> Integer # (*) :: Integer -> Integer -> Integer # negate :: Integer -> Integer # abs :: Integer -> Integer # signum :: Integer -> Integer # fromInteger :: Integer -> Integer #
Num Natural | Note that `Natural`'s `Num` instance isn't a ring: no element but 0 has an additive inverse. It is a semiring though. @since base-4.8.0.0
Instance details Defined in GHC.Internal.Num Methods (+) :: Natural -> Natural -> Natural # (-) :: Natural -> Natural -> Natural # (*) :: Natural -> Natural -> Natural # negate :: Natural -> Natural # abs :: Natural -> Natural # signum :: Natural -> Natural # fromInteger :: Integer -> Natural #
Num Int | @since base-2.01
Instance details Defined in GHC.Internal.Num Methods (+) :: Int -> Int -> Int # (-) :: Int -> Int -> Int # (*) :: Int -> Int -> Int # negate :: Int -> Int # abs :: Int -> Int # signum :: Int -> Int # fromInteger :: Integer -> Int #
Num Word | @since base-2.01
Instance details Defined in GHC.Internal.Num Methods (+) :: Word -> Word -> Word # (-) :: Word -> Word -> Word # (*) :: Word -> Word -> Word # negate :: Word -> Word # abs :: Word -> Word # signum :: Word -> Word # fromInteger :: Integer -> Word #
RealFloat a => Num (Complex a) | Since: base-2.1
Instance details Defined in Data.Complex Methods (+) :: Complex a -> Complex a -> Complex a # (-) :: Complex a -> Complex a -> Complex a # (*) :: Complex a -> Complex a -> Complex a # negate :: Complex a -> Complex a # abs :: Complex a -> Complex a # signum :: Complex a -> Complex a # fromInteger :: Integer -> Complex a #
Num a => Num (Max a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (+) :: Max a -> Max a -> Max a # (-) :: Max a -> Max a -> Max a # (*) :: Max a -> Max a -> Max a # negate :: Max a -> Max a # abs :: Max a -> Max a # signum :: Max a -> Max a # fromInteger :: Integer -> Max a #
Num a => Num (Min a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (+) :: Min a -> Min a -> Min a # (-) :: Min a -> Min a -> Min a # (*) :: Min a -> Min a -> Min a # negate :: Min a -> Min a # abs :: Min a -> Min a # signum :: Min a -> Min a # fromInteger :: Integer -> Min a #
Num a => Num (Down a) | @since base-4.11.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods (+) :: Down a -> Down a -> Down a # (-) :: Down a -> Down a -> Down a # (*) :: Down a -> Down a -> Down a # negate :: Down a -> Down a # abs :: Down a -> Down a # signum :: Down a -> Down a # fromInteger :: Integer -> Down a #
Integral a => Num (Ratio a) | @since base-2.0.1
Instance details Defined in GHC.Internal.Real Methods (+) :: Ratio a -> Ratio a -> Ratio a # (-) :: Ratio a -> Ratio a -> Ratio a # (*) :: Ratio a -> Ratio a -> Ratio a # negate :: Ratio a -> Ratio a # abs :: Ratio a -> Ratio a # signum :: Ratio a -> Ratio a # fromInteger :: Integer -> Ratio a #
HasResolution a => Num (Fixed a) | Multiplication is not associative or distributive:
    >>> (0.2 * 0.6 :: Deci) * 0.9 == 0.2 * (0.6 * 0.9)
    False
    >>> (0.1 + 0.1 :: Deci) * 0.5 == 0.1 * 0.5 + 0.1 * 0.5
    False
Since: base-2.1
Instance details Defined in Data.Fixed Methods (+) :: Fixed a -> Fixed a -> Fixed a # (-) :: Fixed a -> Fixed a -> Fixed a # (*) :: Fixed a -> Fixed a -> Fixed a # negate :: Fixed a -> Fixed a # abs :: Fixed a -> Fixed a # signum :: Fixed a -> Fixed a # fromInteger :: Integer -> Fixed a #
Num a => Num (Op a b) |
Instance details Defined in Data.Functor.Contravariant Methods (+) :: Op a b -> Op a b -> Op a b # (-) :: Op a b -> Op a b -> Op a b # (*) :: Op a b -> Op a b -> Op a b # negate :: Op a b -> Op a b # abs :: Op a b -> Op a b # signum :: Op a b -> Op a b # fromInteger :: Integer -> Op a b #
Num (f (g a)) => Num (Compose f g a) | Since: base-4.19.0.0
Instance details Defined in Data.Functor.Compose Methods (+) :: Compose f g a -> Compose f g a -> Compose f g a # (-) :: Compose f g a -> Compose f g a -> Compose f g a # (*) :: Compose f g a -> Compose f g a -> Compose f g a # negate :: Compose f g a -> Compose f g a # abs :: Compose f g a -> Compose f g a # signum :: Compose f g a -> Compose f g a # fromInteger :: Integer -> Compose f g a #

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

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`, then `fromRational` is a left inverse for `toRational`, 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 #

Rational equivalent of its real argument with full precision.

#### Instances

Instances details

Real CBool |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CBool -> Rational #
Real CChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CChar -> Rational #
Real CClock |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CClock -> Rational #
Real CDouble |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CDouble -> Rational #
Real CFloat |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CFloat -> Rational #
Real CInt |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CInt -> Rational #
Real CIntMax |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CIntMax -> Rational #
Real CIntPtr |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CIntPtr -> Rational #
Real CLLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CLLong -> Rational #
Real CLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CLong -> Rational #
Real CPtrdiff |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CPtrdiff -> Rational #
Real CSChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CSChar -> Rational #
Real CSUSeconds |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CSUSeconds -> Rational #
Real CShort |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CShort -> Rational #
Real CSigAtomic |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CSigAtomic -> Rational #
Real CSize |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CSize -> Rational #
Real CTime |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CTime -> Rational #
Real CUChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CUChar -> Rational #
Real CUInt |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CUInt -> Rational #
Real CUIntMax |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CUIntMax -> Rational #
Real CUIntPtr |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CUIntPtr -> Rational #
Real CULLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CULLong -> Rational #
Real CULong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CULong -> Rational #
Real CUSeconds |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CUSeconds -> Rational #
Real CUShort |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CUShort -> Rational #
Real CWchar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CWchar -> Rational #
Real Int16 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods toRational :: Int16 -> Rational #
Real Int32 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods toRational :: Int32 -> Rational #
Real Int64 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods toRational :: Int64 -> Rational #
Real Int8 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods toRational :: Int8 -> Rational #
Real Word16 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods toRational :: Word16 -> Rational #
Real Word32 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods toRational :: Word32 -> Rational #
Real Word64 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods toRational :: Word64 -> Rational #
Real Word8 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods toRational :: Word8 -> Rational #
Real I8 |
Instance details Defined in Data.Text.Foreign Methods toRational :: I8 -> Rational #
Real Integer | @since base-2.0.1
Instance details Defined in GHC.Internal.Real Methods toRational :: Integer -> Rational #
Real Natural | @since base-4.8.0.0
Instance details Defined in GHC.Internal.Real Methods toRational :: Natural -> Rational #
Real Int | @since base-2.0.1
Instance details Defined in GHC.Internal.Real Methods toRational :: Int -> Rational #
Real Word | @since base-2.01
Instance details Defined in GHC.Internal.Real Methods toRational :: Word -> Rational #
Real a => Real (Down a) | @since base-4.14.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods toRational :: Down a -> Rational #
Integral a => Real (Ratio a) | @since base-2.0.1
Instance details Defined in GHC.Internal.Real Methods toRational :: Ratio a -> Rational #
HasResolution a => Real (Fixed a) | Since: base-2.1
Instance details Defined in Data.Fixed Methods toRational :: Fixed a -> Rational #
Real (f (g a)) => Real (Compose f g a) | Since: base-4.19.0.0
Instance details Defined in Data.Functor.Compose Methods toRational :: Compose f g a -> Rational #

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

Integral numbers, supporting integer division.

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

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

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

In addition, `toInteger` should be total, and `fromInteger` should be a left inverse for it, i.e. `fromInteger (toInteger i) = i`.

Minimal complete definition

quotRem, toInteger

Methods

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

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 #

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 #

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 #

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) #

Simultaneous `quot` and `rem`.

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) #

simultaneous `div` and `mod`.

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 #

Conversion to `Integer`.

#### Instances

Instances details

Integral CBool |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CBool -> CBool -> CBool # rem :: CBool -> CBool -> CBool # div :: CBool -> CBool -> CBool # mod :: CBool -> CBool -> CBool # quotRem :: CBool -> CBool -> (CBool, CBool) # divMod :: CBool -> CBool -> (CBool, CBool) # toInteger :: CBool -> Integer #
Integral CChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CChar -> CChar -> CChar # rem :: CChar -> CChar -> CChar # div :: CChar -> CChar -> CChar # mod :: CChar -> CChar -> CChar # quotRem :: CChar -> CChar -> (CChar, CChar) # divMod :: CChar -> CChar -> (CChar, CChar) # toInteger :: CChar -> Integer #
Integral CInt |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CInt -> CInt -> CInt # rem :: CInt -> CInt -> CInt # div :: CInt -> CInt -> CInt # mod :: CInt -> CInt -> CInt # quotRem :: CInt -> CInt -> (CInt, CInt) # divMod :: CInt -> CInt -> (CInt, CInt) # toInteger :: CInt -> Integer #
Integral CIntMax |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CIntMax -> CIntMax -> CIntMax # rem :: CIntMax -> CIntMax -> CIntMax # div :: CIntMax -> CIntMax -> CIntMax # mod :: CIntMax -> CIntMax -> CIntMax # quotRem :: CIntMax -> CIntMax -> (CIntMax, CIntMax) # divMod :: CIntMax -> CIntMax -> (CIntMax, CIntMax) # toInteger :: CIntMax -> Integer #
Integral CIntPtr |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CIntPtr -> CIntPtr -> CIntPtr # rem :: CIntPtr -> CIntPtr -> CIntPtr # div :: CIntPtr -> CIntPtr -> CIntPtr # mod :: CIntPtr -> CIntPtr -> CIntPtr # quotRem :: CIntPtr -> CIntPtr -> (CIntPtr, CIntPtr) # divMod :: CIntPtr -> CIntPtr -> (CIntPtr, CIntPtr) # toInteger :: CIntPtr -> Integer #
Integral CLLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CLLong -> CLLong -> CLLong # rem :: CLLong -> CLLong -> CLLong # div :: CLLong -> CLLong -> CLLong # mod :: CLLong -> CLLong -> CLLong # quotRem :: CLLong -> CLLong -> (CLLong, CLLong) # divMod :: CLLong -> CLLong -> (CLLong, CLLong) # toInteger :: CLLong -> Integer #
Integral CLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CLong -> CLong -> CLong # rem :: CLong -> CLong -> CLong # div :: CLong -> CLong -> CLong # mod :: CLong -> CLong -> CLong # quotRem :: CLong -> CLong -> (CLong, CLong) # divMod :: CLong -> CLong -> (CLong, CLong) # toInteger :: CLong -> Integer #
Integral CPtrdiff |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CPtrdiff -> CPtrdiff -> CPtrdiff # rem :: CPtrdiff -> CPtrdiff -> CPtrdiff # div :: CPtrdiff -> CPtrdiff -> CPtrdiff # mod :: CPtrdiff -> CPtrdiff -> CPtrdiff # quotRem :: CPtrdiff -> CPtrdiff -> (CPtrdiff, CPtrdiff) # divMod :: CPtrdiff -> CPtrdiff -> (CPtrdiff, CPtrdiff) # toInteger :: CPtrdiff -> Integer #
Integral CSChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CSChar -> CSChar -> CSChar # rem :: CSChar -> CSChar -> CSChar # div :: CSChar -> CSChar -> CSChar # mod :: CSChar -> CSChar -> CSChar # quotRem :: CSChar -> CSChar -> (CSChar, CSChar) # divMod :: CSChar -> CSChar -> (CSChar, CSChar) # toInteger :: CSChar -> Integer #
Integral CShort |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CShort -> CShort -> CShort # rem :: CShort -> CShort -> CShort # div :: CShort -> CShort -> CShort # mod :: CShort -> CShort -> CShort # quotRem :: CShort -> CShort -> (CShort, CShort) # divMod :: CShort -> CShort -> (CShort, CShort) # toInteger :: CShort -> Integer #
Integral CSigAtomic |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CSigAtomic -> CSigAtomic -> CSigAtomic # rem :: CSigAtomic -> CSigAtomic -> CSigAtomic # div :: CSigAtomic -> CSigAtomic -> CSigAtomic # mod :: CSigAtomic -> CSigAtomic -> CSigAtomic # quotRem :: CSigAtomic -> CSigAtomic -> (CSigAtomic, CSigAtomic) # divMod :: CSigAtomic -> CSigAtomic -> (CSigAtomic, CSigAtomic) # toInteger :: CSigAtomic -> Integer #
Integral CSize |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CSize -> CSize -> CSize # rem :: CSize -> CSize -> CSize # div :: CSize -> CSize -> CSize # mod :: CSize -> CSize -> CSize # quotRem :: CSize -> CSize -> (CSize, CSize) # divMod :: CSize -> CSize -> (CSize, CSize) # toInteger :: CSize -> Integer #
Integral CUChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CUChar -> CUChar -> CUChar # rem :: CUChar -> CUChar -> CUChar # div :: CUChar -> CUChar -> CUChar # mod :: CUChar -> CUChar -> CUChar # quotRem :: CUChar -> CUChar -> (CUChar, CUChar) # divMod :: CUChar -> CUChar -> (CUChar, CUChar) # toInteger :: CUChar -> Integer #
Integral CUInt |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CUInt -> CUInt -> CUInt # rem :: CUInt -> CUInt -> CUInt # div :: CUInt -> CUInt -> CUInt # mod :: CUInt -> CUInt -> CUInt # quotRem :: CUInt -> CUInt -> (CUInt, CUInt) # divMod :: CUInt -> CUInt -> (CUInt, CUInt) # toInteger :: CUInt -> Integer #
Integral CUIntMax |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CUIntMax -> CUIntMax -> CUIntMax # rem :: CUIntMax -> CUIntMax -> CUIntMax # div :: CUIntMax -> CUIntMax -> CUIntMax # mod :: CUIntMax -> CUIntMax -> CUIntMax # quotRem :: CUIntMax -> CUIntMax -> (CUIntMax, CUIntMax) # divMod :: CUIntMax -> CUIntMax -> (CUIntMax, CUIntMax) # toInteger :: CUIntMax -> Integer #
Integral CUIntPtr |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CUIntPtr -> CUIntPtr -> CUIntPtr # rem :: CUIntPtr -> CUIntPtr -> CUIntPtr # div :: CUIntPtr -> CUIntPtr -> CUIntPtr # mod :: CUIntPtr -> CUIntPtr -> CUIntPtr # quotRem :: CUIntPtr -> CUIntPtr -> (CUIntPtr, CUIntPtr) # divMod :: CUIntPtr -> CUIntPtr -> (CUIntPtr, CUIntPtr) # toInteger :: CUIntPtr -> Integer #
Integral CULLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CULLong -> CULLong -> CULLong # rem :: CULLong -> CULLong -> CULLong # div :: CULLong -> CULLong -> CULLong # mod :: CULLong -> CULLong -> CULLong # quotRem :: CULLong -> CULLong -> (CULLong, CULLong) # divMod :: CULLong -> CULLong -> (CULLong, CULLong) # toInteger :: CULLong -> Integer #
Integral CULong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CULong -> CULong -> CULong # rem :: CULong -> CULong -> CULong # div :: CULong -> CULong -> CULong # mod :: CULong -> CULong -> CULong # quotRem :: CULong -> CULong -> (CULong, CULong) # divMod :: CULong -> CULong -> (CULong, CULong) # toInteger :: CULong -> Integer #
Integral CUShort |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CUShort -> CUShort -> CUShort # rem :: CUShort -> CUShort -> CUShort # div :: CUShort -> CUShort -> CUShort # mod :: CUShort -> CUShort -> CUShort # quotRem :: CUShort -> CUShort -> (CUShort, CUShort) # divMod :: CUShort -> CUShort -> (CUShort, CUShort) # toInteger :: CUShort -> Integer #
Integral CWchar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CWchar -> CWchar -> CWchar # rem :: CWchar -> CWchar -> CWchar # div :: CWchar -> CWchar -> CWchar # mod :: CWchar -> CWchar -> CWchar # quotRem :: CWchar -> CWchar -> (CWchar, CWchar) # divMod :: CWchar -> CWchar -> (CWchar, CWchar) # toInteger :: CWchar -> Integer #
Integral Int16 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods quot :: Int16 -> Int16 -> Int16 # rem :: Int16 -> Int16 -> Int16 # div :: Int16 -> Int16 -> Int16 # mod :: Int16 -> Int16 -> Int16 # quotRem :: Int16 -> Int16 -> (Int16, Int16) # divMod :: Int16 -> Int16 -> (Int16, Int16) # toInteger :: Int16 -> Integer #
Integral Int32 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods quot :: Int32 -> Int32 -> Int32 # rem :: Int32 -> Int32 -> Int32 # div :: Int32 -> Int32 -> Int32 # mod :: Int32 -> Int32 -> Int32 # quotRem :: Int32 -> Int32 -> (Int32, Int32) # divMod :: Int32 -> Int32 -> (Int32, Int32) # toInteger :: Int32 -> Integer #
Integral Int64 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods quot :: Int64 -> Int64 -> Int64 # rem :: Int64 -> Int64 -> Int64 # div :: Int64 -> Int64 -> Int64 # mod :: Int64 -> Int64 -> Int64 # quotRem :: Int64 -> Int64 -> (Int64, Int64) # divMod :: Int64 -> Int64 -> (Int64, Int64) # toInteger :: Int64 -> Integer #
Integral Int8 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods quot :: Int8 -> Int8 -> Int8 # rem :: Int8 -> Int8 -> Int8 # div :: Int8 -> Int8 -> Int8 # mod :: Int8 -> Int8 -> Int8 # quotRem :: Int8 -> Int8 -> (Int8, Int8) # divMod :: Int8 -> Int8 -> (Int8, Int8) # toInteger :: Int8 -> Integer #
Integral Word16 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods quot :: Word16 -> Word16 -> Word16 # rem :: Word16 -> Word16 -> Word16 # div :: Word16 -> Word16 -> Word16 # mod :: Word16 -> Word16 -> Word16 # quotRem :: Word16 -> Word16 -> (Word16, Word16) # divMod :: Word16 -> Word16 -> (Word16, Word16) # toInteger :: Word16 -> Integer #
Integral Word32 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods quot :: Word32 -> Word32 -> Word32 # rem :: Word32 -> Word32 -> Word32 # div :: Word32 -> Word32 -> Word32 # mod :: Word32 -> Word32 -> Word32 # quotRem :: Word32 -> Word32 -> (Word32, Word32) # divMod :: Word32 -> Word32 -> (Word32, Word32) # toInteger :: Word32 -> Integer #
Integral Word64 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods quot :: Word64 -> Word64 -> Word64 # rem :: Word64 -> Word64 -> Word64 # div :: Word64 -> Word64 -> Word64 # mod :: Word64 -> Word64 -> Word64 # quotRem :: Word64 -> Word64 -> (Word64, Word64) # divMod :: Word64 -> Word64 -> (Word64, Word64) # toInteger :: Word64 -> Integer #
Integral Word8 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods quot :: Word8 -> Word8 -> Word8 # rem :: Word8 -> Word8 -> Word8 # div :: Word8 -> Word8 -> Word8 # mod :: Word8 -> Word8 -> Word8 # quotRem :: Word8 -> Word8 -> (Word8, Word8) # divMod :: Word8 -> Word8 -> (Word8, Word8) # toInteger :: Word8 -> Integer #
Integral I8 |
Instance details Defined in Data.Text.Foreign Methods quot :: I8 -> I8 -> I8 # rem :: I8 -> I8 -> I8 # div :: I8 -> I8 -> I8 # mod :: I8 -> I8 -> I8 # quotRem :: I8 -> I8 -> (I8, I8) # divMod :: I8 -> I8 -> (I8, I8) # toInteger :: I8 -> Integer #
Integral Integer | @since base-2.0.1
Instance details Defined in GHC.Internal.Real Methods quot :: Integer -> Integer -> Integer # rem :: Integer -> Integer -> Integer # div :: Integer -> Integer -> Integer # mod :: Integer -> Integer -> Integer # quotRem :: Integer -> Integer -> (Integer, Integer) # divMod :: Integer -> Integer -> (Integer, Integer) # toInteger :: Integer -> Integer #
Integral Natural | @since base-4.8.0.0
Instance details Defined in GHC.Internal.Real Methods quot :: Natural -> Natural -> Natural # rem :: Natural -> Natural -> Natural # div :: Natural -> Natural -> Natural # mod :: Natural -> Natural -> Natural # quotRem :: Natural -> Natural -> (Natural, Natural) # divMod :: Natural -> Natural -> (Natural, Natural) # toInteger :: Natural -> Integer #
Integral Int | @since base-2.0.1
Instance details Defined in GHC.Internal.Real Methods quot :: Int -> Int -> Int # rem :: Int -> Int -> Int # div :: Int -> Int -> Int # mod :: Int -> Int -> Int # quotRem :: Int -> Int -> (Int, Int) # divMod :: Int -> Int -> (Int, Int) # toInteger :: Int -> Integer #
Integral Word | @since base-2.01
Instance details Defined in GHC.Internal.Real Methods quot :: Word -> Word -> Word # rem :: Word -> Word -> Word # div :: Word -> Word -> Word # mod :: Word -> Word -> Word # quotRem :: Word -> Word -> (Word, Word) # divMod :: Word -> Word -> (Word, Word) # toInteger :: Word -> Integer #
Integral (f (g a)) => Integral (Compose f g a) | Since: base-4.19.0.0
Instance details Defined in Data.Functor.Compose Methods quot :: Compose f g a -> Compose f g a -> Compose f g a # rem :: Compose f g a -> Compose f g a -> Compose f g a # div :: Compose f g a -> Compose f g a -> Compose f g a # mod :: Compose f g a -> Compose f g a -> Compose f g a # quotRem :: Compose f g a -> Compose f g a -> (Compose f g a, Compose f g a) # divMod :: Compose f g a -> Compose f g a -> (Compose f g a, Compose f g a) # toInteger :: Compose f g a -> Integer #

class Num a => Fractional a where #

Fractional numbers, supporting real division.

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

`recip` gives the multiplicative inverse
  `x * recip x` = `recip x * x` = `fromInteger 1`
Totality of `toRational`
  `toRational` is total
Coherence with `toRational`
  if the type also implements `Real`, then `fromRational` is a left inverse for `toRational`, 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 #

Fractional division.

recip :: a -> a #

Reciprocal fraction.

fromRational :: Rational -> a #

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

#### Instances

Instances details

Fractional CDouble |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (/) :: CDouble -> CDouble -> CDouble # recip :: CDouble -> CDouble # fromRational :: Rational -> CDouble #
Fractional CFloat |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (/) :: CFloat -> CFloat -> CFloat # recip :: CFloat -> CFloat # fromRational :: Rational -> CFloat #
RealFloat a => Fractional (Complex a) | Since: base-2.1
Instance details Defined in Data.Complex Methods (/) :: Complex a -> Complex a -> Complex a # recip :: Complex a -> Complex a # fromRational :: Rational -> Complex a #
Fractional a => Fractional (Down a) | @since base-4.14.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods (/) :: Down a -> Down a -> Down a # recip :: Down a -> Down a # fromRational :: Rational -> Down a #
Integral a => Fractional (Ratio a) | @since base-2.0.1
Instance details Defined in GHC.Internal.Real Methods (/) :: Ratio a -> Ratio a -> Ratio a # recip :: Ratio a -> Ratio a # fromRational :: Rational -> Ratio a #
HasResolution a => Fractional (Fixed a) | Since: base-2.1
Instance details Defined in Data.Fixed Methods (/) :: Fixed a -> Fixed a -> Fixed a # recip :: Fixed a -> Fixed a # fromRational :: Rational -> Fixed a #
Fractional a => Fractional (Op a b) |
Instance details Defined in Data.Functor.Contravariant Methods (/) :: Op a b -> Op a b -> Op a b # recip :: Op a b -> Op a b # fromRational :: Rational -> Op a b #
Fractional (f (g a)) => Fractional (Compose f g a) | Since: base-4.20.0.0
Instance details Defined in Data.Functor.Compose Methods (/) :: Compose f g a -> Compose f g a -> Compose f g a # recip :: Compose f g a -> Compose f g a # fromRational :: Rational -> Compose f g a #

class Fractional a => Floating a where #

Trigonometric and hyperbolic functions and related functions.

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

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

Minimal complete definition

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

Methods

pi :: a #

exp :: a -> a #

log :: a -> a #

sqrt :: a -> a #

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

logBase :: a -> a -> a #

sin :: a -> a #

cos :: a -> a #

tan :: a -> a #

asin :: a -> a #

acos :: a -> a #

atan :: a -> a #

sinh :: a -> a #

cosh :: a -> a #

tanh :: a -> a #

asinh :: a -> a #

acosh :: a -> a #

atanh :: a -> a #

#### Instances

Instances details

Floating CDouble |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods pi :: CDouble # exp :: CDouble -> CDouble # log :: CDouble -> CDouble # sqrt :: CDouble -> CDouble # (**) :: CDouble -> CDouble -> CDouble # logBase :: CDouble -> CDouble -> CDouble # sin :: CDouble -> CDouble # cos :: CDouble -> CDouble # tan :: CDouble -> CDouble # asin :: CDouble -> CDouble # acos :: CDouble -> CDouble # atan :: CDouble -> CDouble # sinh :: CDouble -> CDouble # cosh :: CDouble -> CDouble # tanh :: CDouble -> CDouble # asinh :: CDouble -> CDouble # acosh :: CDouble -> CDouble # atanh :: CDouble -> CDouble # log1p :: CDouble -> CDouble # expm1 :: CDouble -> CDouble # log1pexp :: CDouble -> CDouble # log1mexp :: CDouble -> CDouble #
Floating CFloat |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods pi :: CFloat # exp :: CFloat -> CFloat # log :: CFloat -> CFloat # sqrt :: CFloat -> CFloat # (**) :: CFloat -> CFloat -> CFloat # logBase :: CFloat -> CFloat -> CFloat # sin :: CFloat -> CFloat # cos :: CFloat -> CFloat # tan :: CFloat -> CFloat # asin :: CFloat -> CFloat # acos :: CFloat -> CFloat # atan :: CFloat -> CFloat # sinh :: CFloat -> CFloat # cosh :: CFloat -> CFloat # tanh :: CFloat -> CFloat # asinh :: CFloat -> CFloat # acosh :: CFloat -> CFloat # atanh :: CFloat -> CFloat # log1p :: CFloat -> CFloat # expm1 :: CFloat -> CFloat # log1pexp :: CFloat -> CFloat # log1mexp :: CFloat -> CFloat #
Floating Double | @since base-2.01
Instance details Defined in GHC.Internal.Float Methods pi :: Double # exp :: Double -> Double # log :: Double -> Double # sqrt :: Double -> Double # (**) :: Double -> Double -> Double # logBase :: Double -> Double -> Double # sin :: Double -> Double # cos :: Double -> Double # tan :: Double -> Double # asin :: Double -> Double # acos :: Double -> Double # atan :: Double -> Double # sinh :: Double -> Double # cosh :: Double -> Double # tanh :: Double -> Double # asinh :: Double -> Double # acosh :: Double -> Double # atanh :: Double -> Double # log1p :: Double -> Double # expm1 :: Double -> Double # log1pexp :: Double -> Double # log1mexp :: Double -> Double #
Floating Float | @since base-2.01
Instance details Defined in GHC.Internal.Float Methods pi :: Float # exp :: Float -> Float # log :: Float -> Float # sqrt :: Float -> Float # (**) :: Float -> Float -> Float # logBase :: Float -> Float -> Float # sin :: Float -> Float # cos :: Float -> Float # tan :: Float -> Float # asin :: Float -> Float # acos :: Float -> Float # atan :: Float -> Float # sinh :: Float -> Float # cosh :: Float -> Float # tanh :: Float -> Float # asinh :: Float -> Float # acosh :: Float -> Float # atanh :: Float -> Float # log1p :: Float -> Float # expm1 :: Float -> Float # log1pexp :: Float -> Float # log1mexp :: Float -> Float #
RealFloat a => Floating (Complex a) | Since: base-2.1
Instance details Defined in Data.Complex Methods pi :: Complex a # exp :: Complex a -> Complex a # log :: Complex a -> Complex a # sqrt :: Complex a -> Complex a # (**) :: Complex a -> Complex a -> Complex a # logBase :: Complex a -> Complex a -> Complex a # sin :: Complex a -> Complex a # cos :: Complex a -> Complex a # tan :: Complex a -> Complex a # asin :: Complex a -> Complex a # acos :: Complex a -> Complex a # atan :: Complex a -> Complex a # sinh :: Complex a -> Complex a # cosh :: Complex a -> Complex a # tanh :: Complex a -> Complex a # asinh :: Complex a -> Complex a # acosh :: Complex a -> Complex a # atanh :: Complex a -> Complex a # log1p :: Complex a -> Complex a # expm1 :: Complex a -> Complex a # log1pexp :: Complex a -> Complex a # log1mexp :: Complex a -> Complex a #
Floating a => Floating (Down a) | @since base-4.14.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods pi :: Down a # exp :: Down a -> Down a # log :: Down a -> Down a # sqrt :: Down a -> Down a # (**) :: Down a -> Down a -> Down a # logBase :: Down a -> Down a -> Down a # sin :: Down a -> Down a # cos :: Down a -> Down a # tan :: Down a -> Down a # asin :: Down a -> Down a # acos :: Down a -> Down a # atan :: Down a -> Down a # sinh :: Down a -> Down a # cosh :: Down a -> Down a # tanh :: Down a -> Down a # asinh :: Down a -> Down a # acosh :: Down a -> Down a # atanh :: Down a -> Down a # log1p :: Down a -> Down a # expm1 :: Down a -> Down a # log1pexp :: Down a -> Down a # log1mexp :: Down a -> Down a #
Floating a => Floating (Op a b) |
Instance details Defined in Data.Functor.Contravariant Methods pi :: Op a b # exp :: Op a b -> Op a b # log :: Op a b -> Op a b # sqrt :: Op a b -> Op a b # (**) :: Op a b -> Op a b -> Op a b # logBase :: Op a b -> Op a b -> Op a b # sin :: Op a b -> Op a b # cos :: Op a b -> Op a b # tan :: Op a b -> Op a b # asin :: Op a b -> Op a b # acos :: Op a b -> Op a b # atan :: Op a b -> Op a b # sinh :: Op a b -> Op a b # cosh :: Op a b -> Op a b # tanh :: Op a b -> Op a b # asinh :: Op a b -> Op a b # acosh :: Op a b -> Op a b # atanh :: Op a b -> Op a b # log1p :: Op a b -> Op a b # expm1 :: Op a b -> Op a b # log1pexp :: Op a b -> Op a b # log1mexp :: Op a b -> Op a b #
Floating (f (g a)) => Floating (Compose f g a) | Since: base-4.20.0.0
Instance details Defined in Data.Functor.Compose Methods pi :: Compose f g a # exp :: Compose f g a -> Compose f g a # log :: Compose f g a -> Compose f g a # sqrt :: Compose f g a -> Compose f g a # (**) :: Compose f g a -> Compose f g a -> Compose f g a # logBase :: Compose f g a -> Compose f g a -> Compose f g a # sin :: Compose f g a -> Compose f g a # cos :: Compose f g a -> Compose f g a # tan :: Compose f g a -> Compose f g a # asin :: Compose f g a -> Compose f g a # acos :: Compose f g a -> Compose f g a # atan :: Compose f g a -> Compose f g a # sinh :: Compose f g a -> Compose f g a # cosh :: Compose f g a -> Compose f g a # tanh :: Compose f g a -> Compose f g a # asinh :: Compose f g a -> Compose f g a # acosh :: Compose f g a -> Compose f g a # atanh :: Compose f g a -> Compose f g a # log1p :: Compose f g a -> Compose f g a # expm1 :: Compose f g a -> Compose f g a # log1pexp :: Compose f g a -> Compose f g a # log1mexp :: Compose f g a -> Compose f g a #

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

Extracting components of fractions.

Minimal complete definition

properFraction

Methods

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

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

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

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

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

``truncate` x` returns the integer nearest `x` between zero and `x`

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

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

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

``ceiling` x` returns the least integer not less than `x`

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

``floor` x` returns the greatest integer not greater than `x`

#### Instances

Instances details

RealFrac CDouble |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods properFraction :: Integral b => CDouble -> (b, CDouble) # truncate :: Integral b => CDouble -> b # round :: Integral b => CDouble -> b # ceiling :: Integral b => CDouble -> b # floor :: Integral b => CDouble -> b #
RealFrac CFloat |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods properFraction :: Integral b => CFloat -> (b, CFloat) # truncate :: Integral b => CFloat -> b # round :: Integral b => CFloat -> b # ceiling :: Integral b => CFloat -> b # floor :: Integral b => CFloat -> b #
RealFrac a => RealFrac (Down a) | @since base-4.14.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods properFraction :: Integral b => Down a -> (b, Down a) # truncate :: Integral b => Down a -> b # round :: Integral b => Down a -> b # ceiling :: Integral b => Down a -> b # floor :: Integral b => Down a -> b #
Integral a => RealFrac (Ratio a) | @since base-2.0.1
Instance details Defined in GHC.Internal.Real Methods properFraction :: Integral b => Ratio a -> (b, Ratio a) # truncate :: Integral b => Ratio a -> b # round :: Integral b => Ratio a -> b # ceiling :: Integral b => Ratio a -> b # floor :: Integral b => Ratio a -> b #
HasResolution a => RealFrac (Fixed a) | Since: base-2.1
Instance details Defined in Data.Fixed Methods properFraction :: Integral b => Fixed a -> (b, Fixed a) # truncate :: Integral b => Fixed a -> b # round :: Integral b => Fixed a -> b # ceiling :: Integral b => Fixed a -> b # floor :: Integral b => Fixed a -> b #
RealFrac (f (g a)) => RealFrac (Compose f g a) | Since: base-4.20.0.0
Instance details Defined in Data.Functor.Compose Methods properFraction :: Integral b => Compose f g a -> (b, Compose f g a) # truncate :: Integral b => Compose f g a -> b # round :: Integral b => Compose f g a -> b # ceiling :: Integral b => Compose f g a -> b # floor :: Integral b => Compose f g a -> b #

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

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

Minimal complete definition

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

Methods

floatRadix :: a -> Integer #

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

floatDigits :: a -> Int #

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

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

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

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

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

encodeFloat :: Integer -> Int -> a #

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

exponent :: a -> Int #

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

significand :: a -> a #

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

scaleFloat :: Int -> a -> a #

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

isNaN :: a -> Bool #

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

isInfinite :: a -> Bool #

`True` if the argument is an IEEE infinity or negative infinity

isDenormalized :: a -> Bool #

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

isNegativeZero :: a -> Bool #

`True` if the argument is an IEEE negative zero

isIEEE :: a -> Bool #

`True` if the argument is an IEEE floating point number

atan2 :: a -> a -> a #

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

#### Instances

Instances details

RealFloat CDouble |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods floatRadix :: CDouble -> Integer # floatDigits :: CDouble -> Int # floatRange :: CDouble -> (Int, Int) # decodeFloat :: CDouble -> (Integer, Int) # encodeFloat :: Integer -> Int -> CDouble # exponent :: CDouble -> Int # significand :: CDouble -> CDouble # scaleFloat :: Int -> CDouble -> CDouble # isNaN :: CDouble -> Bool # isInfinite :: CDouble -> Bool # isDenormalized :: CDouble -> Bool # isNegativeZero :: CDouble -> Bool # isIEEE :: CDouble -> Bool # atan2 :: CDouble -> CDouble -> CDouble #
RealFloat CFloat |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods floatRadix :: CFloat -> Integer # floatDigits :: CFloat -> Int # floatRange :: CFloat -> (Int, Int) # decodeFloat :: CFloat -> (Integer, Int) # encodeFloat :: Integer -> Int -> CFloat # exponent :: CFloat -> Int # significand :: CFloat -> CFloat # scaleFloat :: Int -> CFloat -> CFloat # isNaN :: CFloat -> Bool # isInfinite :: CFloat -> Bool # isDenormalized :: CFloat -> Bool # isNegativeZero :: CFloat -> Bool # isIEEE :: CFloat -> Bool # atan2 :: CFloat -> CFloat -> CFloat #
RealFloat Double | @since base-2.01
Instance details Defined in GHC.Internal.Float Methods floatRadix :: Double -> Integer # floatDigits :: Double -> Int # floatRange :: Double -> (Int, Int) # decodeFloat :: Double -> (Integer, Int) # encodeFloat :: Integer -> Int -> Double # exponent :: Double -> Int # significand :: Double -> Double # scaleFloat :: Int -> Double -> Double # isNaN :: Double -> Bool # isInfinite :: Double -> Bool # isDenormalized :: Double -> Bool # isNegativeZero :: Double -> Bool # isIEEE :: Double -> Bool # atan2 :: Double -> Double -> Double #
RealFloat Float | @since base-2.01
Instance details Defined in GHC.Internal.Float Methods floatRadix :: Float -> Integer # floatDigits :: Float -> Int # floatRange :: Float -> (Int, Int) # decodeFloat :: Float -> (Integer, Int) # encodeFloat :: Integer -> Int -> Float # exponent :: Float -> Int # significand :: Float -> Float # scaleFloat :: Int -> Float -> Float # isNaN :: Float -> Bool # isInfinite :: Float -> Bool # isDenormalized :: Float -> Bool # isNegativeZero :: Float -> Bool # isIEEE :: Float -> Bool # atan2 :: Float -> Float -> Float #
RealFloat a => RealFloat (Down a) | @since base-4.14.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods floatRadix :: Down a -> Integer # floatDigits :: Down a -> Int # floatRange :: Down a -> (Int, Int) # decodeFloat :: Down a -> (Integer, Int) # encodeFloat :: Integer -> Int -> Down a # exponent :: Down a -> Int # significand :: Down a -> Down a # scaleFloat :: Int -> Down a -> Down a # isNaN :: Down a -> Bool # isInfinite :: Down a -> Bool # isDenormalized :: Down a -> Bool # isNegativeZero :: Down a -> Bool # isIEEE :: Down a -> Bool # atan2 :: Down a -> Down a -> Down a #
RealFloat (f (g a)) => RealFloat (Compose f g a) | Since: base-4.20.0.0
Instance details Defined in Data.Functor.Compose Methods floatRadix :: Compose f g a -> Integer # floatDigits :: Compose f g a -> Int # floatRange :: Compose f g a -> (Int, Int) # decodeFloat :: Compose f g a -> (Integer, Int) # encodeFloat :: Integer -> Int -> Compose f g a # exponent :: Compose f g a -> Int # significand :: Compose f g a -> Compose f g a # scaleFloat :: Int -> Compose f g a -> Compose f g a # isNaN :: Compose f g a -> Bool # isInfinite :: Compose f g a -> Bool # isDenormalized :: Compose f g a -> Bool # isNegativeZero :: Compose f g a -> Bool # isIEEE :: Compose f g a -> Bool # atan2 :: Compose f g a -> Compose f g a -> Compose f g a #

## Data types

data Maybe a #

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

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

Constructors

Nothing |
Just a |

#### Instances

Instances details

MonadZip Maybe | Since: base-4.8.0.0
Instance details Defined in Control.Monad.Zip Methods mzip :: Maybe a -> Maybe b -> Maybe (a, b) # mzipWith :: (a -> b -> c) -> Maybe a -> Maybe b -> Maybe c # munzip :: Maybe (a, b) -> (Maybe a, Maybe b) #
Eq1 Maybe | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftEq :: (a -> b -> Bool) -> Maybe a -> Maybe b -> Bool #
Ord1 Maybe | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftCompare :: (a -> b -> Ordering) -> Maybe a -> Maybe b -> Ordering #
Read1 Maybe | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Maybe a) # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Maybe a] # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Maybe a) # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Maybe a] #
Show1 Maybe | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Maybe a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Maybe a] -> ShowS #
Alternative Maybe | Picks the leftmost `Just` value, or, alternatively, `Nothing`. @since base-2.01
Instance details Defined in GHC.Internal.Base Methods empty :: Maybe a # (<|>) :: Maybe a -> Maybe a -> Maybe a # some :: Maybe a -> Maybe [a] # many :: Maybe a -> Maybe [a] #
Applicative Maybe | @since base-2.01
Instance details Defined in GHC.Internal.Base Methods pure :: a -> Maybe a # (<*>) :: Maybe (a -> b) -> Maybe a -> Maybe b # liftA2 :: (a -> b -> c) -> Maybe a -> Maybe b -> Maybe c # (*>) :: Maybe a -> Maybe b -> Maybe b # (<*) :: Maybe a -> Maybe b -> Maybe a #
Functor Maybe | @since base-2.01
Instance details Defined in GHC.Internal.Base Methods fmap :: (a -> b) -> Maybe a -> Maybe b # (<$) :: a -> Maybe b -> Maybe a #
Monad Maybe | @since base-2.01
Instance details Defined in GHC.Internal.Base Methods (>>=) :: Maybe a -> (a -> Maybe b) -> Maybe b # (>>) :: Maybe a -> Maybe b -> Maybe b # return :: a -> Maybe a #
MonadPlus Maybe | Picks the leftmost `Just` value, or, alternatively, `Nothing`. @since base-2.01
Instance details Defined in GHC.Internal.Base Methods mzero :: Maybe a # mplus :: Maybe a -> Maybe a -> Maybe a #
MonadFail Maybe | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Control.Monad.Fail Methods fail :: String -> Maybe a #
Foldable Maybe | @since base-2.01
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => Maybe m -> m # foldMap :: Monoid m => (a -> m) -> Maybe a -> m # foldMap' :: Monoid m => (a -> m) -> Maybe a -> m # foldr :: (a -> b -> b) -> b -> Maybe a -> b # foldr' :: (a -> b -> b) -> b -> Maybe a -> b # foldl :: (b -> a -> b) -> b -> Maybe a -> b # foldl' :: (b -> a -> b) -> b -> Maybe a -> b # foldr1 :: (a -> a -> a) -> Maybe a -> a # foldl1 :: (a -> a -> a) -> Maybe a -> a # toList :: Maybe a -> [a] # null :: Maybe a -> Bool # length :: Maybe a -> Int # elem :: Eq a => a -> Maybe a -> Bool # maximum :: Ord a => Maybe a -> a # minimum :: Ord a => Maybe a -> a # sum :: Num a => Maybe a -> a # product :: Num a => Maybe a -> a #
Traversable Maybe | @since base-2.01
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Maybe a -> f (Maybe b) # sequenceA :: Applicative f => Maybe (f a) -> f (Maybe a) # mapM :: Monad m => (a -> m b) -> Maybe a -> m (Maybe b) # sequence :: Monad m => Maybe (m a) -> m (Maybe a) #
Hashable1 Maybe |
Instance details Defined in Data.Hashable.Class Methods liftHashWithSalt :: (Int -> a -> Int) -> Int -> Maybe a -> Int #
Generic1 Maybe |
Instance details Defined in GHC.Internal.Generics Associated Types
type Rep1 Maybe | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 Maybe = D1 ('MetaData "Maybe" "GHC.Internal.Maybe" "ghc-internal" 'False) (C1 ('MetaCons "Nothing" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "Just" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
Methods from1 :: Maybe a -> Rep1 Maybe a # to1 :: Rep1 Maybe a -> Maybe a #
Semigroup a => Monoid (Maybe a) | Lift a semigroup into `Maybe` forming a `Monoid` according to http://en.wikipedia.org/wiki/Monoid: "Any semigroup `S` may be turned into a monoid simply by adjoining an element `e` not in `S` and defining `e*e = e` and `e*s = s = s*e` for all `s ∈ S`." Since 4.11.0: constraint on inner `a` value generalised from `Monoid` to `Semigroup`. @since base-2.01
Instance details Defined in GHC.Internal.Base Methods mempty :: Maybe a # mappend :: Maybe a -> Maybe a -> Maybe a # mconcat :: [Maybe a] -> Maybe a #
Semigroup a => Semigroup (Maybe a) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods (<>) :: Maybe a -> Maybe a -> Maybe a # sconcat :: NonEmpty (Maybe a) -> Maybe a # stimes :: Integral b => b -> Maybe a -> Maybe a #
Generic (Maybe a) |
Instance details Defined in GHC.Internal.Generics Associated Types
type Rep (Maybe a) | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Generics type Rep (Maybe a) = D1 ('MetaData "Maybe" "GHC.Internal.Maybe" "ghc-internal" 'False) (C1 ('MetaCons "Nothing" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "Just" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))
Methods from :: Maybe a -> Rep (Maybe a) x # to :: Rep (Maybe a) x -> Maybe a #
SingKind a => SingKind (Maybe a) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Associated Types
type DemoteRep (Maybe a) |
Instance details Defined in GHC.Internal.Generics type DemoteRep (Maybe a) = Maybe (DemoteRep a)
Methods fromSing :: forall (a0 :: Maybe a). Sing a0 -> DemoteRep (Maybe a)
Read a => Read (Maybe a) | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (Maybe a) # readList :: ReadS [Maybe a] # readPrec :: ReadPrec (Maybe a) # readListPrec :: ReadPrec [Maybe a] #
Show a => Show (Maybe a) | @since base-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Maybe a -> ShowS # show :: Maybe a -> String # showList :: [Maybe a] -> ShowS #
Eq a => Eq (Maybe a) | @since base-2.01
Instance details Defined in GHC.Internal.Maybe Methods (==) :: Maybe a -> Maybe a -> Bool # (/=) :: Maybe a -> Maybe a -> Bool #
Ord a => Ord (Maybe a) | @since base-2.01
Instance details Defined in GHC.Internal.Maybe Methods compare :: Maybe a -> Maybe a -> Ordering # (<) :: Maybe a -> Maybe a -> Bool # (<=) :: Maybe a -> Maybe a -> Bool # (>) :: Maybe a -> Maybe a -> Bool # (>=) :: Maybe a -> Maybe a -> Bool # max :: Maybe a -> Maybe a -> Maybe a # min :: Maybe a -> Maybe a -> Maybe a #
Hashable a => Hashable (Maybe a) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Maybe a -> Int # hash :: Maybe a -> Int #
SingI ('Nothing :: Maybe a) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods sing :: Sing ('Nothing :: Maybe a)
SingI a2 => SingI ('Just a2 :: Maybe a1) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods sing :: Sing ('Just a2)
type Rep1 Maybe | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 Maybe = D1 ('MetaData "Maybe" "GHC.Internal.Maybe" "ghc-internal" 'False) (C1 ('MetaCons "Nothing" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "Just" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type DemoteRep (Maybe a) |
Instance details Defined in GHC.Internal.Generics type DemoteRep (Maybe a) = Maybe (DemoteRep a)
type Rep (Maybe a) | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Generics type Rep (Maybe a) = D1 ('MetaData "Maybe" "GHC.Internal.Maybe" "ghc-internal" 'False) (C1 ('MetaCons "Nothing" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "Just" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))
data Sing (b :: Maybe a) |
Instance details Defined in GHC.Internal.Generics data Sing (b :: Maybe a) where SNothing :: forall {a}. Sing ('Nothing :: Maybe a) SJust :: forall {a} (a1 :: a). Sing a1 -> Sing ('Just a1)

data Ordering #

Constructors

LT |
EQ |
GT |

#### Instances

Instances details

Monoid Ordering | @since base-2.01
Instance details Defined in GHC.Internal.Base Methods mempty :: Ordering # mappend :: Ordering -> Ordering -> Ordering # mconcat :: [Ordering] -> Ordering #
Semigroup Ordering | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods (<>) :: Ordering -> Ordering -> Ordering # sconcat :: NonEmpty Ordering -> Ordering # stimes :: Integral b => b -> Ordering -> Ordering #
Bounded Ordering | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods minBound :: Ordering # maxBound :: Ordering #
Enum Ordering | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods succ :: Ordering -> Ordering # pred :: Ordering -> Ordering # toEnum :: Int -> Ordering # fromEnum :: Ordering -> Int # enumFrom :: Ordering -> [Ordering] # enumFromThen :: Ordering -> Ordering -> [Ordering] # enumFromTo :: Ordering -> Ordering -> [Ordering] # enumFromThenTo :: Ordering -> Ordering -> Ordering -> [Ordering] #
Generic Ordering |
Instance details Defined in GHC.Internal.Generics Associated Types
type Rep Ordering | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Generics type Rep Ordering = D1 ('MetaData "Ordering" "GHC.Types" "ghc-prim" 'False) (C1 ('MetaCons "LT" 'PrefixI 'False) (U1 :: Type -> Type) :+: (C1 ('MetaCons "EQ" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "GT" 'PrefixI 'False) (U1 :: Type -> Type)))
Methods from :: Ordering -> Rep Ordering x # to :: Rep Ordering x -> Ordering #
Read Ordering | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Ordering # readList :: ReadS [Ordering] # readPrec :: ReadPrec Ordering # readListPrec :: ReadPrec [Ordering] #
Show Ordering | @since base-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Ordering -> ShowS # show :: Ordering -> String # showList :: [Ordering] -> ShowS #
Eq Ordering |
Instance details Defined in GHC.Classes Methods (==) :: Ordering -> Ordering -> Bool # (/=) :: Ordering -> Ordering -> Bool #
Ord Ordering |
Instance details Defined in GHC.Classes Methods compare :: Ordering -> Ordering -> Ordering # (<) :: Ordering -> Ordering -> Bool # (<=) :: Ordering -> Ordering -> Bool # (>) :: Ordering -> Ordering -> Bool # (>=) :: Ordering -> Ordering -> Bool # max :: Ordering -> Ordering -> Ordering # min :: Ordering -> Ordering -> Ordering #
Hashable Ordering |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Ordering -> Int # hash :: Ordering -> Int #
type Rep Ordering | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Generics type Rep Ordering = D1 ('MetaData "Ordering" "GHC.Types" "ghc-prim" 'False) (C1 ('MetaCons "LT" 'PrefixI 'False) (U1 :: Type -> Type) :+: (C1 ('MetaCons "EQ" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "GT" 'PrefixI 'False) (U1 :: Type -> Type)))

data Bool #

Constructors

False |
True |

#### Instances

Instances details

Bounded Bool | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods minBound :: Bool # maxBound :: Bool #
Enum Bool | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods succ :: Bool -> Bool # pred :: Bool -> Bool # toEnum :: Int -> Bool # fromEnum :: Bool -> Int # enumFrom :: Bool -> [Bool] # enumFromThen :: Bool -> Bool -> [Bool] # enumFromTo :: Bool -> Bool -> [Bool] # enumFromThenTo :: Bool -> Bool -> Bool -> [Bool] #
Storable Bool | @since base-2.01
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Bool -> Int # alignment :: Bool -> Int # peekElemOff :: Ptr Bool -> Int -> IO Bool # pokeElemOff :: Ptr Bool -> Int -> Bool -> IO () # peekByteOff :: Ptr b -> Int -> IO Bool # pokeByteOff :: Ptr b -> Int -> Bool -> IO () # peek :: Ptr Bool -> IO Bool # poke :: Ptr Bool -> Bool -> IO () #
Generic Bool |
Instance details Defined in GHC.Internal.Generics Associated Types
type Rep Bool | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Generics type Rep Bool = D1 ('MetaData "Bool" "GHC.Types" "ghc-prim" 'False) (C1 ('MetaCons "False" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "True" 'PrefixI 'False) (U1 :: Type -> Type))
Methods from :: Bool -> Rep Bool x # to :: Rep Bool x -> Bool #
SingKind Bool | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Associated Types
type DemoteRep Bool |
Instance details Defined in GHC.Internal.Generics type DemoteRep Bool = Bool
Methods fromSing :: forall (a :: Bool). Sing a -> DemoteRep Bool
Read Bool | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Bool # readList :: ReadS [Bool] # readPrec :: ReadPrec Bool # readListPrec :: ReadPrec [Bool] #
Show Bool | @since base-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Bool -> ShowS # show :: Bool -> String # showList :: [Bool] -> ShowS #
Eq Bool |
Instance details Defined in GHC.Classes Methods (==) :: Bool -> Bool -> Bool # (/=) :: Bool -> Bool -> Bool #
Ord Bool |
Instance details Defined in GHC.Classes Methods compare :: Bool -> Bool -> Ordering # (<) :: Bool -> Bool -> Bool # (<=) :: Bool -> Bool -> Bool # (>) :: Bool -> Bool -> Bool # (>=) :: Bool -> Bool -> Bool # max :: Bool -> Bool -> Bool # min :: Bool -> Bool -> Bool #
Hashable Bool |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Bool -> Int # hash :: Bool -> Int #
Unbox Bool |
Instance details Defined in Data.Vector.Unboxed.Base
SingI 'False | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods sing :: Sing 'False
SingI 'True | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods sing :: Sing 'True
Vector Vector Bool |
Instance details 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 () elemseq :: Vector Bool -> Bool -> b -> b
MVector MVector Bool |
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Bool -> Int basicUnsafeSlice :: Int -> Int -> MVector s Bool -> MVector s Bool basicOverlaps :: MVector s Bool -> MVector s Bool -> Bool basicUnsafeNew :: 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 |
Instance details Defined in GHC.Internal.Generics type DemoteRep Bool = Bool
type Rep Bool | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Generics type Rep Bool = D1 ('MetaData "Bool" "GHC.Types" "ghc-prim" 'False) (C1 ('MetaCons "False" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "True" 'PrefixI 'False) (U1 :: Type -> Type))
data Sing (a :: Bool) |
Instance details Defined in GHC.Internal.Generics data Sing (a :: Bool) where STrue :: Sing 'True SFalse :: Sing 'False
newtype Vector Bool |
Instance details Defined in Data.Vector.Unboxed.Base newtype Vector Bool = V_Bool (Vector Word8)
newtype MVector s Bool |
Instance details Defined in Data.Vector.Unboxed.Base newtype MVector s Bool = MV_Bool (MVector s Word8)

data Char #

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

Data.Char provides utilities to work with `Char`.

#### Instances

Instances details

IsChar Char | Since: base-2.1
Instance details Defined in Text.Printf Methods toChar :: Char -> Char # fromChar :: Char -> Char #
PrintfArg Char | Since: base-2.1
Instance details Defined in Text.Printf Methods formatArg :: Char -> FieldFormatter # parseFormat :: Char -> ModifierParser #
Bounded Char | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods minBound :: Char # maxBound :: Char #
Enum Char | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods succ :: Char -> Char # pred :: Char -> Char # toEnum :: Int -> Char # fromEnum :: Char -> Int # enumFrom :: Char -> [Char] # enumFromThen :: Char -> Char -> [Char] # enumFromTo :: Char -> Char -> [Char] # enumFromThenTo :: Char -> Char -> Char -> [Char] #
Storable Char | @since base-2.01
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Char -> Int # alignment :: Char -> Int # peekElemOff :: Ptr Char -> Int -> IO Char # pokeElemOff :: Ptr Char -> Int -> Char -> IO () # peekByteOff :: Ptr b -> Int -> IO Char # pokeByteOff :: Ptr b -> Int -> Char -> IO () # peek :: Ptr Char -> IO Char # poke :: Ptr Char -> Char -> IO () #
Read Char | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Char # readList :: ReadS [Char] # readPrec :: ReadPrec Char # readListPrec :: ReadPrec [Char] #
Show Char | @since base-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Char -> ShowS # show :: Char -> String # showList :: [Char] -> ShowS #
Eq Char |
Instance details Defined in GHC.Classes Methods (==) :: Char -> Char -> Bool # (/=) :: Char -> Char -> Bool #
Ord Char |
Instance details Defined in GHC.Classes Methods compare :: Char -> Char -> Ordering # (<) :: Char -> Char -> Bool # (<=) :: Char -> Char -> Bool # (>) :: Char -> Char -> Bool # (>=) :: Char -> Char -> Bool # max :: Char -> Char -> Char # min :: Char -> Char -> Char #
Hashable Char |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Char -> Int # hash :: Char -> Int #
Unbox Char |
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Char |
Instance details 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 () elemseq :: Vector Char -> Char -> b -> b
MVector MVector Char |
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Char -> Int basicUnsafeSlice :: Int -> Int -> MVector s Char -> MVector s Char basicOverlaps :: MVector s Char -> MVector s Char -> Bool basicUnsafeNew :: 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) |
Instance details Defined in GHC.Internal.Generics Associated Types
type Rep1 (URec Char :: k -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (URec Char :: k -> Type) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UChar" 'PrefixI 'True) (S1 ('MetaSel ('Just "uChar#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UChar :: k -> Type)))
Methods from1 :: forall (a :: k). URec Char a -> Rep1 (URec Char :: k -> Type) a # to1 :: forall (a :: k). Rep1 (URec Char :: k -> Type) a -> URec Char a #
Foldable (UChar :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => UChar m -> m # foldMap :: Monoid m => (a -> m) -> UChar a -> m # foldMap' :: Monoid m => (a -> m) -> UChar a -> m # foldr :: (a -> b -> b) -> b -> UChar a -> b # foldr' :: (a -> b -> b) -> b -> UChar a -> b # foldl :: (b -> a -> b) -> b -> UChar a -> b # foldl' :: (b -> a -> b) -> b -> UChar a -> b # foldr1 :: (a -> a -> a) -> UChar a -> a # foldl1 :: (a -> a -> a) -> UChar a -> a # toList :: UChar a -> [a] # null :: UChar a -> Bool # length :: UChar a -> Int # elem :: Eq a => a -> UChar a -> Bool # maximum :: Ord a => UChar a -> a # minimum :: Ord a => UChar a -> a # sum :: Num a => UChar a -> a # product :: Num a => UChar a -> a #
Traversable (UChar :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> UChar a -> f (UChar b) # sequenceA :: Applicative f => UChar (f a) -> f (UChar a) # mapM :: Monad m => (a -> m b) -> UChar a -> m (UChar b) # sequence :: Monad m => UChar (m a) -> m (UChar a) #
Functor (URec Char :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> URec Char a -> URec Char b # (<$) :: a -> URec Char b -> URec Char a #
Generic (URec Char p) |
Instance details Defined in GHC.Internal.Generics Associated Types
type Rep (URec Char p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep (URec Char p) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UChar" 'PrefixI 'True) (S1 ('MetaSel ('Just "uChar#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UChar :: Type -> Type)))
Methods from :: URec Char p -> Rep (URec Char p) x # to :: Rep (URec Char p) x -> URec Char p #
Show (URec Char p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> URec Char p -> ShowS # show :: URec Char p -> String # showList :: [URec Char p] -> ShowS #
Eq (URec Char p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: URec Char p -> URec Char p -> Bool # (/=) :: URec Char p -> URec Char p -> Bool #
Ord (URec Char p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: URec Char p -> URec Char p -> Ordering # (<) :: URec Char p -> URec Char p -> Bool # (<=) :: URec Char p -> URec Char p -> Bool # (>) :: URec Char p -> URec Char p -> Bool # (>=) :: URec Char p -> URec Char p -> Bool # max :: URec Char p -> URec Char p -> URec Char p # min :: URec Char p -> URec Char p -> URec Char p #
newtype Vector Char |
Instance details Defined in Data.Vector.Unboxed.Base newtype Vector Char = V_Char (Vector Char)
data URec Char (p :: k) | Used for marking occurrences of `Char#` @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics data URec Char (p :: k) = UChar { uChar# :: Char# }
newtype MVector s Char |
Instance details Defined in Data.Vector.Unboxed.Base newtype MVector s Char = MV_Char (MVector s Char)
type Rep1 (URec Char :: k -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (URec Char :: k -> Type) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UChar" 'PrefixI 'True) (S1 ('MetaSel ('Just "uChar#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UChar :: k -> Type)))
type Rep (URec Char p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep (URec Char p) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UChar" 'PrefixI 'True) (S1 ('MetaSel ('Just "uChar#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UChar :: Type -> Type)))

data IO a #

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

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

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

#### Instances

Instances details

MonadIO IO | Since: base-4.9.0.0
Instance details Defined in Control.Monad.IO.Class Methods liftIO :: IO a -> IO a #
Alternative IO | Takes the first non-throwing `IO` action's result. `empty` throws an exception. @since base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods empty :: IO a # (<|>) :: IO a -> IO a -> IO a # some :: IO a -> IO [a] # many :: IO a -> IO [a] #
Applicative IO | @since base-2.01
Instance details Defined in GHC.Internal.Base Methods pure :: a -> IO a # (<*>) :: IO (a -> b) -> IO a -> IO b # liftA2 :: (a -> b -> c) -> IO a -> IO b -> IO c # (*>) :: IO a -> IO b -> IO b # (<*) :: IO a -> IO b -> IO a #
Functor IO | @since base-2.01
Instance details Defined in GHC.Internal.Base Methods fmap :: (a -> b) -> IO a -> IO b # (<$) :: a -> IO b -> IO a #
Monad IO | @since base-2.01
Instance details Defined in GHC.Internal.Base Methods (>>=) :: IO a -> (a -> IO b) -> IO b # (>>) :: IO a -> IO b -> IO b # return :: a -> IO a #
MonadPlus IO | Takes the first non-throwing `IO` action's result. `mzero` throws an exception. @since base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods mzero :: IO a # mplus :: IO a -> IO a -> IO a #
MonadFail IO | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Control.Monad.Fail Methods fail :: String -> IO a #
PrimBase IO |
Instance details Defined in Control.Monad.Primitive Methods internal :: IO a -> State# (PrimState IO) -> (# State# (PrimState IO), a #) #
PrimMonad IO |
Instance details Defined in Control.Monad.Primitive Associated Types
type PrimState IO |
Instance details Defined in Control.Monad.Primitive type PrimState IO = RealWorld
Methods primitive :: (State# (PrimState IO) -> (# State# (PrimState IO), a #)) -> IO a #
a ~ () => HPrintfType (IO a) | Since: base-4.7.0.0
Instance details Defined in Text.Printf Methods hspr :: Handle -> String -> [UPrintf] -> IO a
a ~ () => PrintfType (IO a) | Since: base-4.7.0.0
Instance details Defined in Text.Printf Methods spr :: String -> [UPrintf] -> IO a
Monoid a => Monoid (IO a) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods mempty :: IO a # mappend :: IO a -> IO a -> IO a # mconcat :: [IO a] -> IO a #
Semigroup a => Semigroup (IO a) | @since base-4.10.0.0
Instance details Defined in GHC.Internal.Base Methods (<>) :: IO a -> IO a -> IO a # sconcat :: NonEmpty (IO a) -> IO a # stimes :: Integral b => b -> IO a -> IO a #
type PrimState IO |
Instance details Defined in Control.Monad.Primitive type PrimState IO = RealWorld

data Either a b #

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

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

#### Examples

Expand

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

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

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

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

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

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

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

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

    >>> parseMultiple
    Right 3

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

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

    >>> parseMultiple
    Left "parse error"

Constructors

Left a |
Right b |

#### Instances

Instances details

Bifoldable Either | Since: base-4.10.0.0
Instance details Defined in Data.Bifoldable Methods bifold :: Monoid m => Either m m -> m # bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> Either a b -> m # bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> Either a b -> c # bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> Either a b -> c #
Bifoldable1 Either |
Instance details Defined in Data.Bifoldable1 Methods bifold1 :: Semigroup m => Either m m -> m # bifoldMap1 :: Semigroup m => (a -> m) -> (b -> m) -> Either a b -> m #
Bifunctor Either | Since: base-4.8.0.0
Instance details Defined in Data.Bifunctor Methods bimap :: (a -> b) -> (c -> d) -> Either a c -> Either b d # first :: (a -> b) -> Either a c -> Either b c # second :: (b -> c) -> Either a b -> Either a c #
Bitraversable Either | Since: base-4.10.0.0
Instance details Defined in Data.Bitraversable Methods bitraverse :: Applicative f => (a -> f c) -> (b -> f d) -> Either a b -> f (Either c d) #
Eq2 Either | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftEq2 :: (a -> b -> Bool) -> (c -> d -> Bool) -> Either a c -> Either b d -> Bool #
Ord2 Either | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftCompare2 :: (a -> b -> Ordering) -> (c -> d -> Ordering) -> Either a c -> Either b d -> Ordering #
Read2 Either | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftReadsPrec2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> Int -> ReadS (Either a b) # liftReadList2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [Either a b] # liftReadPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (Either a b) # liftReadListPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [Either a b] #
Show2 Either | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftShowsPrec2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> Int -> Either a b -> ShowS # liftShowList2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> [Either a b] -> ShowS #
Hashable2 Either |
Instance details Defined in Data.Hashable.Class Methods liftHashWithSalt2 :: (Int -> a -> Int) -> (Int -> b -> Int) -> Int -> Either a b -> Int #
Generic1 (Either a :: Type -> Type) |
Instance details Defined in GHC.Internal.Generics Associated Types
type Rep1 (Either a :: Type -> Type) | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (Either a :: Type -> Type) = D1 ('MetaData "Either" "GHC.Internal.Data.Either" "ghc-internal" 'False) (C1 ('MetaCons "Left" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)) :+: C1 ('MetaCons "Right" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
Methods from1 :: Either a a0 -> Rep1 (Either a) a0 # to1 :: Rep1 (Either a) a0 -> Either a a0 #
Eq a => Eq1 (Either a) | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftEq :: (a0 -> b -> Bool) -> Either a a0 -> Either a b -> Bool #
Ord a => Ord1 (Either a) | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftCompare :: (a0 -> b -> Ordering) -> Either a a0 -> Either a b -> Ordering #
Read a => Read1 (Either a) | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftReadsPrec :: (Int -> ReadS a0) -> ReadS [a0] -> Int -> ReadS (Either a a0) # liftReadList :: (Int -> ReadS a0) -> ReadS [a0] -> ReadS [Either a a0] # liftReadPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec (Either a a0) # liftReadListPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec [Either a a0] #
Show a => Show1 (Either a) | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftShowsPrec :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> Int -> Either a a0 -> ShowS # liftShowList :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> [Either a a0] -> ShowS #
Applicative (Either e) | @since base-3.0
Instance details Defined in GHC.Internal.Data.Either Methods pure :: a -> Either e a # (<*>) :: Either e (a -> b) -> Either e a -> Either e b # liftA2 :: (a -> b -> c) -> Either e a -> Either e b -> Either e c # (*>) :: Either e a -> Either e b -> Either e b # (<*) :: Either e a -> Either e b -> Either e a #
Functor (Either a) | @since base-3.0
Instance details Defined in GHC.Internal.Data.Either Methods fmap :: (a0 -> b) -> Either a a0 -> Either a b # (<$) :: a0 -> Either a b -> Either a a0 #
Monad (Either e) | @since base-4.4.0.0
Instance details Defined in GHC.Internal.Data.Either Methods (>>=) :: Either e a -> (a -> Either e b) -> Either e b # (>>) :: Either e a -> Either e b -> Either e b # return :: a -> Either e a #
Foldable (Either a) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => Either a m -> m # foldMap :: Monoid m => (a0 -> m) -> Either a a0 -> m # foldMap' :: Monoid m => (a0 -> m) -> Either a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Either a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Either a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Either a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Either a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 # toList :: Either a a0 -> [a0] # null :: Either a a0 -> Bool # length :: Either a a0 -> Int # elem :: Eq a0 => a0 -> Either a a0 -> Bool # maximum :: Ord a0 => Either a a0 -> a0 # minimum :: Ord a0 => Either a a0 -> a0 # sum :: Num a0 => Either a a0 -> a0 # product :: Num a0 => Either a a0 -> a0 #
Traversable (Either a) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a0 -> f b) -> Either a a0 -> f (Either a b) # sequenceA :: Applicative f => Either a (f a0) -> f (Either a a0) # mapM :: Monad m => (a0 -> m b) -> Either a a0 -> m (Either a b) # sequence :: Monad m => Either a (m a0) -> m (Either a a0) #
Hashable a => Hashable1 (Either a) |
Instance details Defined in Data.Hashable.Class Methods liftHashWithSalt :: (Int -> a0 -> Int) -> Int -> Either a a0 -> Int #
Semigroup (Either a b) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Either Methods (<>) :: Either a b -> Either a b -> Either a b # sconcat :: NonEmpty (Either a b) -> Either a b # stimes :: Integral b0 => b0 -> Either a b -> Either a b #
Generic (Either a b) |
Instance details Defined in GHC.Internal.Generics Associated Types
type Rep (Either a b) | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Generics type Rep (Either a b) = D1 ('MetaData "Either" "GHC.Internal.Data.Either" "ghc-internal" 'False) (C1 ('MetaCons "Left" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)) :+: C1 ('MetaCons "Right" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b)))
Methods from :: Either a b -> Rep (Either a b) x # to :: Rep (Either a b) x -> Either a b #
(Read a, Read b) => Read (Either a b) | @since base-3.0
Instance details Defined in GHC.Internal.Data.Either Methods readsPrec :: Int -> ReadS (Either a b) # readList :: ReadS [Either a b] # readPrec :: ReadPrec (Either a b) # readListPrec :: ReadPrec [Either a b] #
(Show a, Show b) => Show (Either a b) | @since base-3.0
Instance details Defined in GHC.Internal.Data.Either Methods showsPrec :: Int -> Either a b -> ShowS # show :: Either a b -> String # showList :: [Either a b] -> ShowS #
(Eq a, Eq b) => Eq (Either a b) | @since base-2.01
Instance details Defined in GHC.Internal.Data.Either Methods (==) :: Either a b -> Either a b -> Bool # (/=) :: Either a b -> Either a b -> Bool #
(Ord a, Ord b) => Ord (Either a b) | @since base-2.01
Instance details Defined in GHC.Internal.Data.Either Methods compare :: Either a b -> Either a b -> Ordering # (<) :: Either a b -> Either a b -> Bool # (<=) :: Either a b -> Either a b -> Bool # (>) :: Either a b -> Either a b -> Bool # (>=) :: Either a b -> Either a b -> Bool # max :: Either a b -> Either a b -> Either a b # min :: Either a b -> Either a b -> Either a b #
(Hashable a, Hashable b) => Hashable (Either a b) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Either a b -> Int # hash :: Either a b -> Int #
type Rep1 (Either a :: Type -> Type) | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (Either a :: Type -> Type) = D1 ('MetaData "Either" "GHC.Internal.Data.Either" "ghc-internal" 'False) (C1 ('MetaCons "Left" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)) :+: C1 ('MetaCons "Right" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep (Either a b) | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Generics type Rep (Either a b) = D1 ('MetaData "Either" "GHC.Internal.Data.Either" "ghc-internal" 'False) (C1 ('MetaCons "Left" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)) :+: C1 ('MetaCons "Right" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b)))

# Re-exports

## Packed reps

data ByteString #

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

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

#### Instances

Instances details

NFData ByteString |
Instance details Defined in Data.ByteString.Internal.Type Methods rnf :: ByteString -> () #
Monoid ByteString |
Instance details Defined in Data.ByteString.Internal.Type Methods mempty :: ByteString # mappend :: ByteString -> ByteString -> ByteString # mconcat :: [ByteString] -> ByteString #
Semigroup ByteString |
Instance details Defined in Data.ByteString.Internal.Type Methods (<>) :: ByteString -> ByteString -> ByteString # sconcat :: NonEmpty ByteString -> ByteString # stimes :: Integral b => b -> ByteString -> ByteString #
Data ByteString |
Instance details 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 # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c ByteString # toConstr :: ByteString -> Constr # dataTypeOf :: ByteString -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c ByteString) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ByteString) # gmapT :: (forall b. Data b => b -> b) -> ByteString -> ByteString # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> ByteString -> r # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> ByteString -> r # gmapQ :: (forall d. Data d => d -> u) -> ByteString -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> ByteString -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> ByteString -> m ByteString # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> ByteString -> m ByteString # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> ByteString -> m ByteString #
IsString ByteString | Beware: `fromString` truncates multi-byte characters to octets. e.g. "枯朶に烏のとまりけり秋の暮" becomes �6k�nh~�Q��n�
Instance details Defined in Data.ByteString.Internal.Type Methods fromString :: String -> ByteString #
IsList ByteString | Since: bytestring-0.10.12.0
Instance details Defined in Data.ByteString.Internal.Type Associated Types
type Item ByteString |
Instance details Defined in Data.ByteString.Internal.Type type Item ByteString = Word8
Methods fromList :: [Item ByteString] -> ByteString # fromListN :: Int -> [Item ByteString] -> ByteString # toList :: ByteString -> [Item ByteString] #
Read ByteString |
Instance details Defined in Data.ByteString.Internal.Type Methods readsPrec :: Int -> ReadS ByteString # readList :: ReadS [ByteString] # readPrec :: ReadPrec ByteString # readListPrec :: ReadPrec [ByteString] #
Show ByteString |
Instance details Defined in Data.ByteString.Internal.Type Methods showsPrec :: Int -> ByteString -> ShowS # show :: ByteString -> String # showList :: [ByteString] -> ShowS #
Eq ByteString |
Instance details Defined in Data.ByteString.Internal.Type Methods (==) :: ByteString -> ByteString -> Bool # (/=) :: ByteString -> ByteString -> Bool #
Ord ByteString |
Instance details Defined in Data.ByteString.Internal.Type Methods compare :: ByteString -> ByteString -> Ordering # (<) :: ByteString -> ByteString -> Bool # (<=) :: ByteString -> ByteString -> Bool # (>) :: ByteString -> ByteString -> Bool # (>=) :: ByteString -> ByteString -> Bool # max :: ByteString -> ByteString -> ByteString # min :: ByteString -> ByteString -> ByteString #
Hashable ByteString |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> ByteString -> Int # hash :: ByteString -> Int #
Lift ByteString | Since: bytestring-0.11.2.0
Instance details Defined in Data.ByteString.Internal.Type Methods lift :: Quote m => ByteString -> m Exp # liftTyped :: forall (m :: Type -> Type). Quote m => ByteString -> Code m ByteString #
type Item ByteString |
Instance details Defined in Data.ByteString.Internal.Type type Item ByteString = Word8

type LByteString = ByteString #

data Text #

A space efficient, packed, unboxed Unicode text type.

#### Instances

Instances details

Hashable Text |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Text -> Int # hash :: Text -> Int #
type Item Text |
Instance details Defined in Data.Text type Item Text = Char

type LText = Text #

## Containers

data Map k a #

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

Instances details

Bifoldable Map | Since: containers-0.6.3.1
Instance details Defined in Data.Map.Internal Methods bifold :: Monoid m => Map m m -> m # bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> Map a b -> m # bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> Map a b -> c # bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> Map a b -> c #
Eq2 Map | Since: containers-0.5.9
Instance details Defined in Data.Map.Internal Methods liftEq2 :: (a -> b -> Bool) -> (c -> d -> Bool) -> Map a c -> Map b d -> Bool #
Ord2 Map | Since: containers-0.5.9
Instance details Defined in Data.Map.Internal Methods liftCompare2 :: (a -> b -> Ordering) -> (c -> d -> Ordering) -> Map a c -> Map b d -> Ordering #
Show2 Map | Since: containers-0.5.9
Instance details Defined in Data.Map.Internal Methods liftShowsPrec2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> Int -> Map a b -> ShowS # liftShowList2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> [Map a b] -> ShowS #
Hashable2 Map | Since: hashable-1.3.4.0
Instance details Defined in Data.Hashable.Class Methods liftHashWithSalt2 :: (Int -> a -> Int) -> (Int -> b -> Int) -> Int -> Map a b -> Int #
(Lift k, Lift a) => Lift (Map k a :: Type) | Since: containers-0.6.6
Instance details Defined in Data.Map.Internal Methods lift :: Quote m => Map k a -> m Exp # liftTyped :: forall (m :: Type -> Type). Quote m => Map k a -> Code m (Map k a) #
Eq k => Eq1 (Map k) | Since: containers-0.5.9
Instance details Defined in Data.Map.Internal Methods liftEq :: (a -> b -> Bool) -> Map k a -> Map k b -> Bool #
Ord k => Ord1 (Map k) | Since: containers-0.5.9
Instance details Defined in Data.Map.Internal Methods liftCompare :: (a -> b -> Ordering) -> Map k a -> Map k b -> Ordering #
(Ord k, Read k) => Read1 (Map k) | Since: containers-0.5.9
Instance details Defined in Data.Map.Internal Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Map k a) # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Map k a] # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Map k a) # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Map k a] #
Show k => Show1 (Map k) | Since: containers-0.5.9
Instance details Defined in Data.Map.Internal Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Map k a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Map k a] -> ShowS #
Functor (Map k) |
Instance details Defined in Data.Map.Internal Methods fmap :: (a -> b) -> Map k a -> Map k b # (<$) :: a -> Map k b -> Map k a #
Foldable (Map k) | Folds in order of increasing key.
Instance details Defined in Data.Map.Internal Methods fold :: Monoid m => Map k m -> m # foldMap :: Monoid m => (a -> m) -> Map k a -> m # foldMap' :: Monoid m => (a -> m) -> Map k a -> m # foldr :: (a -> b -> b) -> b -> Map k a -> b # foldr' :: (a -> b -> b) -> b -> Map k a -> b # foldl :: (b -> a -> b) -> b -> Map k a -> b # foldl' :: (b -> a -> b) -> b -> Map k a -> b # foldr1 :: (a -> a -> a) -> Map k a -> a # foldl1 :: (a -> a -> a) -> Map k a -> a # toList :: Map k a -> [a] # null :: Map k a -> Bool # length :: Map k a -> Int # elem :: Eq a => a -> Map k a -> Bool # maximum :: Ord a => Map k a -> a # minimum :: Ord a => Map k a -> a # sum :: Num a => Map k a -> a # product :: Num a => Map k a -> a #
Traversable (Map k) | Traverses in order of increasing key.
Instance details Defined in Data.Map.Internal Methods traverse :: Applicative f => (a -> f b) -> Map k a -> f (Map k b) # sequenceA :: Applicative f => Map k (f a) -> f (Map k a) # mapM :: Monad m => (a -> m b) -> Map k a -> m (Map k b) # sequence :: Monad m => Map k (m a) -> m (Map k a) #
Hashable k => Hashable1 (Map k) | Since: hashable-1.3.4.0
Instance details Defined in Data.Hashable.Class Methods liftHashWithSalt :: (Int -> a -> Int) -> Int -> Map k a -> Int #
(NFData k, NFData a) => NFData (Map k a) |
Instance details Defined in Data.Map.Internal Methods rnf :: Map k a -> () #
Ord k => Monoid (Map k v) |
Instance details Defined in Data.Map.Internal Methods mempty :: Map k v # mappend :: Map k v -> Map k v -> Map k v # mconcat :: [Map k v] -> Map k v #
Ord k => Semigroup (Map k v) |
Instance details Defined in Data.Map.Internal Methods (<>) :: Map k v -> Map k v -> Map k v # sconcat :: NonEmpty (Map k v) -> Map k v # stimes :: Integral b => b -> Map k v -> Map k v #
(Data k, Data a, Ord k) => Data (Map k a) |
Instance details Defined in Data.Map.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Map k a -> c (Map k a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Map k a) # toConstr :: Map k a -> Constr # dataTypeOf :: Map k a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Map k a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Map k a)) # gmapT :: (forall b. Data b => b -> b) -> Map k a -> Map k a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Map k a -> r # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Map k a -> r # gmapQ :: (forall d. Data d => d -> u) -> Map k a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Map k a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Map k a -> m (Map k a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Map k a -> m (Map k a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Map k a -> m (Map k a) #
Ord k => IsList (Map k v) | Since: containers-0.5.6.2
Instance details Defined in Data.Map.Internal Associated Types
type Item (Map k v) |
Instance details Defined in Data.Map.Internal type Item (Map k v) = (k, v)
Methods fromList :: [Item (Map k v)] -> Map k v # fromListN :: Int -> [Item (Map k v)] -> Map k v # toList :: Map k v -> [Item (Map k v)] #
(Ord k, Read k, Read e) => Read (Map k e) |
Instance details Defined in Data.Map.Internal Methods readsPrec :: Int -> ReadS (Map k e) # readList :: ReadS [Map k e] # readPrec :: ReadPrec (Map k e) # readListPrec :: ReadPrec [Map k e] #
(Show k, Show a) => Show (Map k a) |
Instance details Defined in Data.Map.Internal Methods showsPrec :: Int -> Map k a -> ShowS # show :: Map k a -> String # showList :: [Map k a] -> ShowS #
(Eq k, Eq a) => Eq (Map k a) |
Instance details Defined in Data.Map.Internal Methods (==) :: Map k a -> Map k a -> Bool # (/=) :: Map k a -> Map k a -> Bool #
(Ord k, Ord v) => Ord (Map k v) |
Instance details Defined in Data.Map.Internal Methods compare :: Map k v -> Map k v -> Ordering # (<) :: Map k v -> Map k v -> Bool # (<=) :: Map k v -> Map k v -> Bool # (>) :: Map k v -> Map k v -> Bool # (>=) :: Map k v -> Map k v -> Bool # max :: Map k v -> Map k v -> Map k v # min :: Map k v -> Map k v -> Map k v #
(Hashable k, Hashable v) => Hashable (Map k v) | Since: hashable-1.3.4.0
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Map k v -> Int # hash :: Map k v -> Int #
type Item (Map k v) |
Instance details Defined in Data.Map.Internal type Item (Map k v) = (k, v)

data HashMap k v #

A map from keys to values. A map cannot contain duplicate keys; each key can map to at most one value.

#### Instances

Instances details

Bifoldable HashMap | Since: unordered-containers-0.2.11
Instance details Defined in Data.HashMap.Internal Methods bifold :: Monoid m => HashMap m m -> m # bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> HashMap a b -> m # bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> HashMap a b -> c # bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> HashMap a b -> c #
Eq2 HashMap |
Instance details Defined in Data.HashMap.Internal Methods liftEq2 :: (a -> b -> Bool) -> (c -> d -> Bool) -> HashMap a c -> HashMap b d -> Bool #
Ord2 HashMap |
Instance details Defined in Data.HashMap.Internal Methods liftCompare2 :: (a -> b -> Ordering) -> (c -> d -> Ordering) -> HashMap a c -> HashMap b d -> Ordering #
Show2 HashMap |
Instance details Defined in Data.HashMap.Internal Methods liftShowsPrec2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> Int -> HashMap a b -> ShowS # liftShowList2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> [HashMap a b] -> ShowS #
NFData2 HashMap | Since: unordered-containers-0.2.14.0
Instance details Defined in Data.HashMap.Internal Methods liftRnf2 :: (a -> ()) -> (b -> ()) -> HashMap a b -> () #
Hashable2 HashMap |
Instance details Defined in Data.HashMap.Internal Methods liftHashWithSalt2 :: (Int -> a -> Int) -> (Int -> b -> Int) -> Int -> HashMap a b -> Int #
(Lift k, Lift v) => Lift (HashMap k v :: Type) | Since: unordered-containers-0.2.17.0
Instance details Defined in Data.HashMap.Internal Methods lift :: Quote m => HashMap k v -> m Exp # liftTyped :: forall (m :: Type -> Type). Quote m => HashMap k v -> Code m (HashMap k v) #
Eq k => Eq1 (HashMap k) |
Instance details Defined in Data.HashMap.Internal Methods liftEq :: (a -> b -> Bool) -> HashMap k a -> HashMap k b -> Bool #
Ord k => Ord1 (HashMap k) |
Instance details Defined in Data.HashMap.Internal Methods liftCompare :: (a -> b -> Ordering) -> HashMap k a -> HashMap k b -> Ordering #
(Eq k, Hashable k, Read k) => Read1 (HashMap k) |
Instance details Defined in Data.HashMap.Internal Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (HashMap k a) # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [HashMap k a] # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (HashMap k a) # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [HashMap k a] #
Show k => Show1 (HashMap k) |
Instance details Defined in Data.HashMap.Internal Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> HashMap k a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [HashMap k a] -> ShowS #
NFData k => NFData1 (HashMap k) | Since: unordered-containers-0.2.14.0
Instance details Defined in Data.HashMap.Internal Methods liftRnf :: (a -> ()) -> HashMap k a -> () #
Functor (HashMap k) |
Instance details Defined in Data.HashMap.Internal Methods fmap :: (a -> b) -> HashMap k a -> HashMap k b # (<$) :: a -> HashMap k b -> HashMap k a #
Foldable (HashMap k) |
Instance details Defined in Data.HashMap.Internal Methods fold :: Monoid m => HashMap k m -> m # foldMap :: Monoid m => (a -> m) -> HashMap k a -> m # foldMap' :: Monoid m => (a -> m) -> HashMap k a -> m # foldr :: (a -> b -> b) -> b -> HashMap k a -> b # foldr' :: (a -> b -> b) -> b -> HashMap k a -> b # foldl :: (b -> a -> b) -> b -> HashMap k a -> b # foldl' :: (b -> a -> b) -> b -> HashMap k a -> b # foldr1 :: (a -> a -> a) -> HashMap k a -> a # foldl1 :: (a -> a -> a) -> HashMap k a -> a # toList :: HashMap k a -> [a] # null :: HashMap k a -> Bool # length :: HashMap k a -> Int # elem :: Eq a => a -> HashMap k a -> Bool # maximum :: Ord a => HashMap k a -> a # minimum :: Ord a => HashMap k a -> a # sum :: Num a => HashMap k a -> a # product :: Num a => HashMap k a -> a #
Traversable (HashMap k) |
Instance details Defined in Data.HashMap.Internal Methods traverse :: Applicative f => (a -> f b) -> HashMap k a -> f (HashMap k b) # sequenceA :: Applicative f => HashMap k (f a) -> f (HashMap k a) # mapM :: Monad m => (a -> m b) -> HashMap k a -> m (HashMap k b) # sequence :: Monad m => HashMap k (m a) -> m (HashMap k a) #
Hashable k => Hashable1 (HashMap k) |
Instance details Defined in Data.HashMap.Internal Methods liftHashWithSalt :: (Int -> a -> Int) -> Int -> HashMap k a -> Int #
(NFData k, NFData v) => NFData (HashMap k v) |
Instance details Defined in Data.HashMap.Internal Methods rnf :: HashMap k v -> () #
(Eq k, Hashable k) => Monoid (HashMap k v) | `mempty` = `empty` `mappend` = `union` If a key occurs in both maps, the mapping from the first will be the mapping in the result. #### Examples Expand
    >>> mappend (fromList [(1,'a'),(2,'b')]) (fromList [(2,'c'),(3,'d')])
    fromList [(1,'a'),(2,'b'),(3,'d')]
Instance details Defined in Data.HashMap.Internal Methods mempty :: HashMap k v # mappend :: HashMap k v -> HashMap k v -> HashMap k v # mconcat :: [HashMap k v] -> HashMap k v #
(Eq k, Hashable k) => Semigroup (HashMap k v) | `<>` = `union` If a key occurs in both maps, the mapping from the first will be the mapping in the result. #### Examples Expand
    >>> fromList [(1,'a'),(2,'b')] <> fromList [(2,'c'),(3,'d')]
    fromList [(1,'a'),(2,'b'),(3,'d')]
Instance details Defined in Data.HashMap.Internal Methods (<>) :: HashMap k v -> HashMap k v -> HashMap k v # sconcat :: NonEmpty (HashMap k v) -> HashMap k v # stimes :: Integral b => b -> HashMap k v -> HashMap k v #
(Data k, Data v, Eq k, Hashable k) => Data (HashMap k v) |
Instance details 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) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (HashMap k v) # toConstr :: HashMap k v -> Constr # dataTypeOf :: HashMap k v -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (HashMap k v)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (HashMap k v)) # gmapT :: (forall b. Data b => b -> b) -> HashMap k v -> HashMap k v # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> HashMap k v -> r # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> HashMap k v -> r # gmapQ :: (forall d. Data d => d -> u) -> HashMap k v -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> HashMap k v -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> HashMap k v -> m (HashMap k v) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> HashMap k v -> m (HashMap k v) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> HashMap k v -> m (HashMap k v) #
(Eq k, Hashable k) => IsList (HashMap k v) |
Instance details Defined in Data.HashMap.Internal Associated Types
type Item (HashMap k v) |
Instance details Defined in Data.HashMap.Internal type Item (HashMap k v) = (k, v)
Methods fromList :: [Item (HashMap k v)] -> HashMap k v # fromListN :: Int -> [Item (HashMap k v)] -> HashMap k v # toList :: HashMap k v -> [Item (HashMap k v)] #
(Eq k, Hashable k, Read k, Read e) => Read (HashMap k e) |
Instance details Defined in Data.HashMap.Internal Methods readsPrec :: Int -> ReadS (HashMap k e) # readList :: ReadS [HashMap k e] # readPrec :: ReadPrec (HashMap k e) # readListPrec :: ReadPrec [HashMap k e] #
(Show k, Show v) => Show (HashMap k v) |
Instance details Defined in Data.HashMap.Internal Methods showsPrec :: Int -> HashMap k v -> ShowS # show :: HashMap k v -> String # showList :: [HashMap k v] -> ShowS #
(Eq k, Eq v) => Eq (HashMap k v) | Note that, in the presence of hash collisions, equal `HashMap`s may behave differently, i.e. extensionality may be violated:
    >>> data D = A | B deriving (Eq, Show)
    >>> instance Hashable D where hashWithSalt salt _d = salt
    >>> x = fromList [(A,1), (B,2)]
    >>> y = fromList [(B,2), (A,1)]
    >>> x == y
    True
    >>> toList x
    [(A,1),(B,2)]
    >>> toList y
    [(B,2),(A,1)]
In general, the lack of extensionality can be observed with any function that depends on the key ordering, such as folds and traversals.
Instance details Defined in Data.HashMap.Internal Methods (==) :: HashMap k v -> HashMap k v -> Bool # (/=) :: HashMap k v -> HashMap k v -> Bool #
(Ord k, Ord v) => Ord (HashMap k v) | The ordering is total and consistent with the `Eq` instance. However, nothing else about the ordering is specified, and it may change from version to version of either this package or of hashable.
Instance details Defined in Data.HashMap.Internal Methods compare :: HashMap k v -> HashMap k v -> Ordering # (<) :: HashMap k v -> HashMap k v -> Bool # (<=) :: HashMap k v -> HashMap k v -> Bool # (>) :: HashMap k v -> HashMap k v -> Bool # (>=) :: HashMap k v -> HashMap k v -> Bool # max :: HashMap k v -> HashMap k v -> HashMap k v # min :: HashMap k v -> HashMap k v -> HashMap k v #
(Hashable k, Hashable v) => Hashable (HashMap k v) |
Instance details Defined in Data.HashMap.Internal Methods hashWithSalt :: Int -> HashMap k v -> Int # hash :: HashMap k v -> Int #
type Item (HashMap k v) |
Instance details Defined in Data.HashMap.Internal type Item (HashMap k v) = (k, v)

data IntMap a #

A map of integers to values `a`.

#### Instances

Instances details

Eq1 IntMap | Since: containers-0.5.9
Instance details Defined in Data.IntMap.Internal Methods liftEq :: (a -> b -> Bool) -> IntMap a -> IntMap b -> Bool #
Ord1 IntMap | Since: containers-0.5.9
Instance details Defined in Data.IntMap.Internal Methods liftCompare :: (a -> b -> Ordering) -> IntMap a -> IntMap b -> Ordering #
Read1 IntMap | Since: containers-0.5.9
Instance details Defined in Data.IntMap.Internal Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (IntMap a) # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [IntMap a] # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (IntMap a) # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [IntMap a] #
Show1 IntMap | Since: containers-0.5.9
Instance details Defined in Data.IntMap.Internal Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> IntMap a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [IntMap a] -> ShowS #
Functor IntMap |
Instance details Defined in Data.IntMap.Internal Methods fmap :: (a -> b) -> IntMap a -> IntMap b # (<$) :: a -> IntMap b -> IntMap a #
Foldable IntMap | Folds in order of increasing key.
Instance details Defined in Data.IntMap.Internal Methods fold :: Monoid m => IntMap m -> m # foldMap :: Monoid m => (a -> m) -> IntMap a -> m # foldMap' :: Monoid m => (a -> m) -> IntMap a -> m # foldr :: (a -> b -> b) -> b -> IntMap a -> b # foldr' :: (a -> b -> b) -> b -> IntMap a -> b # foldl :: (b -> a -> b) -> b -> IntMap a -> b # foldl' :: (b -> a -> b) -> b -> IntMap a -> b # foldr1 :: (a -> a -> a) -> IntMap a -> a # foldl1 :: (a -> a -> a) -> IntMap a -> a # toList :: IntMap a -> [a] # null :: IntMap a -> Bool # length :: IntMap a -> Int # elem :: Eq a => a -> IntMap a -> Bool # maximum :: Ord a => IntMap a -> a # minimum :: Ord a => IntMap a -> a # sum :: Num a => IntMap a -> a # product :: Num a => IntMap a -> a #
Traversable IntMap | Traverses in order of increasing key.
Instance details Defined in Data.IntMap.Internal Methods traverse :: Applicative f => (a -> f b) -> IntMap a -> f (IntMap b) # sequenceA :: Applicative f => IntMap (f a) -> f (IntMap a) # mapM :: Monad m => (a -> m b) -> IntMap a -> m (IntMap b) # sequence :: Monad m => IntMap (m a) -> m (IntMap a) #
Hashable1 IntMap | Since: hashable-1.3.4.0
Instance details Defined in Data.Hashable.Class Methods liftHashWithSalt :: (Int -> a -> Int) -> Int -> IntMap a -> Int #
Lift a => Lift (IntMap a :: Type) | Since: containers-0.6.6
Instance details Defined in Data.IntMap.Internal Methods lift :: Quote m => IntMap a -> m Exp # liftTyped :: forall (m :: Type -> Type). Quote m => IntMap a -> Code m (IntMap a) #
NFData a => NFData (IntMap a) |
Instance details Defined in Data.IntMap.Internal Methods rnf :: IntMap a -> () #
Monoid (IntMap a) |
Instance details Defined in Data.IntMap.Internal Methods mempty :: IntMap a # mappend :: IntMap a -> IntMap a -> IntMap a # mconcat :: [IntMap a] -> IntMap a #
Semigroup (IntMap a) | Since: containers-0.5.7
Instance details Defined in Data.IntMap.Internal Methods (<>) :: IntMap a -> IntMap a -> IntMap a # sconcat :: NonEmpty (IntMap a) -> IntMap a # stimes :: Integral b => b -> IntMap a -> IntMap a #
Data a => Data (IntMap a) |
Instance details Defined in Data.IntMap.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> IntMap a -> c (IntMap a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (IntMap a) # toConstr :: IntMap a -> Constr # dataTypeOf :: IntMap a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (IntMap a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (IntMap a)) # gmapT :: (forall b. Data b => b -> b) -> IntMap a -> IntMap a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> IntMap a -> r # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> IntMap a -> r # gmapQ :: (forall d. Data d => d -> u) -> IntMap a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> IntMap a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> IntMap a -> m (IntMap a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> IntMap a -> m (IntMap a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> IntMap a -> m (IntMap a) #
IsList (IntMap a) | Since: containers-0.5.6.2
Instance details Defined in Data.IntMap.Internal Associated Types
type Item (IntMap a) |
Instance details Defined in Data.IntMap.Internal type Item (IntMap a) = (Key, a)
Methods fromList :: [Item (IntMap a)] -> IntMap a # fromListN :: Int -> [Item (IntMap a)] -> IntMap a # toList :: IntMap a -> [Item (IntMap a)] #
Read e => Read (IntMap e) |
Instance details Defined in Data.IntMap.Internal Methods readsPrec :: Int -> ReadS (IntMap e) # readList :: ReadS [IntMap e] # readPrec :: ReadPrec (IntMap e) # readListPrec :: ReadPrec [IntMap e] #
Show a => Show (IntMap a) |
Instance details Defined in Data.IntMap.Internal Methods showsPrec :: Int -> IntMap a -> ShowS # show :: IntMap a -> String # showList :: [IntMap a] -> ShowS #
Eq a => Eq (IntMap a) |
Instance details Defined in Data.IntMap.Internal Methods (==) :: IntMap a -> IntMap a -> Bool # (/=) :: IntMap a -> IntMap a -> Bool #
Ord a => Ord (IntMap a) |
Instance details Defined in Data.IntMap.Internal Methods compare :: IntMap a -> IntMap a -> Ordering # (<) :: IntMap a -> IntMap a -> Bool # (<=) :: IntMap a -> IntMap a -> Bool # (>) :: IntMap a -> IntMap a -> Bool # (>=) :: IntMap a -> IntMap a -> Bool # max :: IntMap a -> IntMap a -> IntMap a # min :: IntMap a -> IntMap a -> IntMap a #
Hashable v => Hashable (IntMap v) | Since: hashable-1.3.4.0
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> IntMap v -> Int # hash :: IntMap v -> Int #
type Item (IntMap a) |
Instance details Defined in Data.IntMap.Internal type Item (IntMap a) = (Key, a)

data Set a #

A set of values `a`.

#### Instances

Instances details

Eq1 Set | Since: containers-0.5.9
Instance details Defined in Data.Set.Internal Methods liftEq :: (a -> b -> Bool) -> Set a -> Set b -> Bool #
Ord1 Set | Since: containers-0.5.9
Instance details Defined in Data.Set.Internal Methods liftCompare :: (a -> b -> Ordering) -> Set a -> Set b -> Ordering #
Show1 Set | Since: containers-0.5.9
Instance details Defined in Data.Set.Internal Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Set a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Set a] -> ShowS #
Foldable Set | Folds in order of increasing key.
Instance details Defined in Data.Set.Internal Methods fold :: Monoid m => Set m -> m # foldMap :: Monoid m => (a -> m) -> Set a -> m # foldMap' :: Monoid m => (a -> m) -> Set a -> m # foldr :: (a -> b -> b) -> b -> Set a -> b # foldr' :: (a -> b -> b) -> b -> Set a -> b # foldl :: (b -> a -> b) -> b -> Set a -> b # foldl' :: (b -> a -> b) -> b -> Set a -> b # foldr1 :: (a -> a -> a) -> Set a -> a # foldl1 :: (a -> a -> a) -> Set a -> a # toList :: Set a -> [a] # null :: Set a -> Bool # length :: Set a -> Int # elem :: Eq a => a -> Set a -> Bool # maximum :: Ord a => Set a -> a # minimum :: Ord a => Set a -> a # sum :: Num a => Set a -> a # product :: Num a => Set a -> a #
Hashable1 Set | Since: hashable-1.3.4.0
Instance details Defined in Data.Hashable.Class Methods liftHashWithSalt :: (Int -> a -> Int) -> Int -> Set a -> Int #
Lift a => Lift (Set a :: Type) | Since: containers-0.6.6
Instance details Defined in Data.Set.Internal Methods lift :: Quote m => Set a -> m Exp # liftTyped :: forall (m :: Type -> Type). Quote m => Set a -> Code m (Set a) #
NFData a => NFData (Set a) |
Instance details Defined in Data.Set.Internal Methods rnf :: Set a -> () #
Ord a => Monoid (Set a) |
Instance details Defined in Data.Set.Internal Methods mempty :: Set a # mappend :: Set a -> Set a -> Set a # mconcat :: [Set a] -> Set a #
Ord a => Semigroup (Set a) | Since: containers-0.5.7
Instance details Defined in Data.Set.Internal Methods (<>) :: Set a -> Set a -> Set a # sconcat :: NonEmpty (Set a) -> Set a # stimes :: Integral b => b -> Set a -> Set a #
(Data a, Ord a) => Data (Set a) |
Instance details Defined in Data.Set.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Set a -> c (Set a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Set a) # toConstr :: Set a -> Constr # dataTypeOf :: Set a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Set a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Set a)) # gmapT :: (forall b. Data b => b -> b) -> Set a -> Set a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Set a -> r # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Set a -> r # gmapQ :: (forall d. Data d => d -> u) -> Set a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Set a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Set a -> m (Set a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Set a -> m (Set a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Set a -> m (Set a) #
Ord a => IsList (Set a) | Since: containers-0.5.6.2
Instance details Defined in Data.Set.Internal Associated Types
type Item (Set a) |
Instance details Defined in Data.Set.Internal type Item (Set a) = a
Methods fromList :: [Item (Set a)] -> Set a # fromListN :: Int -> [Item (Set a)] -> Set a # toList :: Set a -> [Item (Set a)] #
(Read a, Ord a) => Read (Set a) |
Instance details Defined in Data.Set.Internal Methods readsPrec :: Int -> ReadS (Set a) # readList :: ReadS [Set a] # readPrec :: ReadPrec (Set a) # readListPrec :: ReadPrec [Set a] #
Show a => Show (Set a) |
Instance details Defined in Data.Set.Internal Methods showsPrec :: Int -> Set a -> ShowS # show :: Set a -> String # showList :: [Set a] -> ShowS #
Eq a => Eq (Set a) |
Instance details Defined in Data.Set.Internal Methods (==) :: Set a -> Set a -> Bool # (/=) :: Set a -> Set a -> Bool #
Ord a => Ord (Set a) |
Instance details Defined in Data.Set.Internal Methods compare :: Set a -> Set a -> Ordering # (<) :: Set a -> Set a -> Bool # (<=) :: Set a -> Set a -> Bool # (>) :: Set a -> Set a -> Bool # (>=) :: Set a -> Set a -> Bool # max :: Set a -> Set a -> Set a # min :: Set a -> Set a -> Set a #
Hashable v => Hashable (Set v) | Since: hashable-1.3.4.0
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Set v -> Int # hash :: Set v -> Int #
type Item (Set a) |
Instance details Defined in Data.Set.Internal type Item (Set a) = a

data HashSet a #

A set of values. A set cannot contain duplicate values.

#### Instances

Instances details

Eq1 HashSet |
Instance details Defined in Data.HashSet.Internal Methods liftEq :: (a -> b -> Bool) -> HashSet a -> HashSet b -> Bool #
Ord1 HashSet |
Instance details Defined in Data.HashSet.Internal Methods liftCompare :: (a -> b -> Ordering) -> HashSet a -> HashSet b -> Ordering #
Show1 HashSet |
Instance details Defined in Data.HashSet.Internal Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> HashSet a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [HashSet a] -> ShowS #
NFData1 HashSet | Since: unordered-containers-0.2.14.0
Instance details Defined in Data.HashSet.Internal Methods liftRnf :: (a -> ()) -> HashSet a -> () #
Foldable HashSet |
Instance details Defined in Data.HashSet.Internal Methods fold :: Monoid m => HashSet m -> m # foldMap :: Monoid m => (a -> m) -> HashSet a -> m # foldMap' :: Monoid m => (a -> m) -> HashSet a -> m # foldr :: (a -> b -> b) -> b -> HashSet a -> b # foldr' :: (a -> b -> b) -> b -> HashSet a -> b # foldl :: (b -> a -> b) -> b -> HashSet a -> b # foldl' :: (b -> a -> b) -> b -> HashSet a -> b # foldr1 :: (a -> a -> a) -> HashSet a -> a # foldl1 :: (a -> a -> a) -> HashSet a -> a # toList :: HashSet a -> [a] # null :: HashSet a -> Bool # length :: HashSet a -> Int # elem :: Eq a => a -> HashSet a -> Bool # maximum :: Ord a => HashSet a -> a # minimum :: Ord a => HashSet a -> a # sum :: Num a => HashSet a -> a # product :: Num a => HashSet a -> a #
Hashable1 HashSet |
Instance details Defined in Data.HashSet.Internal Methods liftHashWithSalt :: (Int -> a -> Int) -> Int -> HashSet a -> Int #
Lift a => Lift (HashSet a :: Type) | Since: unordered-containers-0.2.17.0
Instance details Defined in Data.HashSet.Internal Methods lift :: Quote m => HashSet a -> m Exp # liftTyped :: forall (m :: Type -> Type). Quote m => HashSet a -> Code m (HashSet a) #
NFData a => NFData (HashSet a) |
Instance details Defined in Data.HashSet.Internal Methods rnf :: HashSet a -> () #
(Hashable a, Eq a) => Monoid (HashSet a) | `mempty` = `empty` `mappend` = `union` \(O(n+m)\) To obtain good performance, the smaller set must be presented as the first argument. #### Examples Expand
    >>> mappend (fromList [1,2]) (fromList [2,3])
    fromList [1,2,3]
Instance details Defined in Data.HashSet.Internal Methods mempty :: HashSet a # mappend :: HashSet a -> HashSet a -> HashSet a # mconcat :: [HashSet a] -> HashSet a #
(Hashable a, Eq a) => Semigroup (HashSet a) | `<>` = `union` \(O(n+m)\) To obtain good performance, the smaller set must be presented as the first argument. #### Examples Expand
    >>> fromList [1,2] <> fromList [2,3]
    fromList [1,2,3]
Instance details Defined in Data.HashSet.Internal Methods (<>) :: HashSet a -> HashSet a -> HashSet a # sconcat :: NonEmpty (HashSet a) -> HashSet a # stimes :: Integral b => b -> HashSet a -> HashSet a #
(Data a, Eq a, Hashable a) => Data (HashSet a) |
Instance details 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) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (HashSet a) # toConstr :: HashSet a -> Constr # dataTypeOf :: HashSet a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (HashSet a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (HashSet a)) # gmapT :: (forall b. Data b => b -> b) -> HashSet a -> HashSet a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> HashSet a -> r # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> HashSet a -> r # gmapQ :: (forall d. Data d => d -> u) -> HashSet a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> HashSet a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> HashSet a -> m (HashSet a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> HashSet a -> m (HashSet a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> HashSet a -> m (HashSet a) #
(Eq a, Hashable a) => IsList (HashSet a) |
Instance details Defined in Data.HashSet.Internal Associated Types
type Item (HashSet a) |
Instance details Defined in Data.HashSet.Internal type Item (HashSet a) = a
Methods fromList :: [Item (HashSet a)] -> HashSet a # fromListN :: Int -> [Item (HashSet a)] -> HashSet a # toList :: HashSet a -> [Item (HashSet a)] #
(Eq a, Hashable a, Read a) => Read (HashSet a) |
Instance details Defined in Data.HashSet.Internal Methods readsPrec :: Int -> ReadS (HashSet a) # readList :: ReadS [HashSet a] # readPrec :: ReadPrec (HashSet a) # readListPrec :: ReadPrec [HashSet a] #
Show a => Show (HashSet a) |
Instance details Defined in Data.HashSet.Internal Methods showsPrec :: Int -> HashSet a -> ShowS # show :: HashSet a -> String # showList :: [HashSet a] -> ShowS #
Eq a => Eq (HashSet a) | Note that, in the presence of hash collisions, equal `HashSet`s may behave differently, i.e. extensionality may be violated:
    >>> data D = A | B deriving (Eq, Show)
    >>> instance Hashable D where hashWithSalt salt _d = salt
    >>> x = fromList [A, B]
    >>> y = fromList [B, A]
    >>> x == y
    True
    >>> toList x
    [A,B]
    >>> toList y
    [B,A]
In general, the lack of extensionality can be observed with any function that depends on the key ordering, such as folds and traversals.
Instance details Defined in Data.HashSet.Internal Methods (==) :: HashSet a -> HashSet a -> Bool # (/=) :: HashSet a -> HashSet a -> Bool #
Ord a => Ord (HashSet a) |
Instance details Defined in Data.HashSet.Internal Methods compare :: HashSet a -> HashSet a -> Ordering # (<) :: HashSet a -> HashSet a -> Bool # (<=) :: HashSet a -> HashSet a -> Bool # (>) :: HashSet a -> HashSet a -> Bool # (>=) :: HashSet a -> HashSet a -> Bool # max :: HashSet a -> HashSet a -> HashSet a # min :: HashSet a -> HashSet a -> HashSet a #
Hashable a => Hashable (HashSet a) |
Instance details Defined in Data.HashSet.Internal Methods hashWithSalt :: Int -> HashSet a -> Int # hash :: HashSet a -> Int #
type Item (HashSet a) |
Instance details Defined in Data.HashSet.Internal type Item (HashSet a) = a

data IntSet #

A set of integers.

#### Instances

Instances details

NFData IntSet |
Instance details Defined in Data.IntSet.Internal Methods rnf :: IntSet -> () #
Monoid IntSet |
Instance details Defined in Data.IntSet.Internal Methods mempty :: IntSet # mappend :: IntSet -> IntSet -> IntSet # mconcat :: [IntSet] -> IntSet #
Semigroup IntSet | Since: containers-0.5.7
Instance details Defined in Data.IntSet.Internal Methods (<>) :: IntSet -> IntSet -> IntSet # sconcat :: NonEmpty IntSet -> IntSet # stimes :: Integral b => b -> IntSet -> IntSet #
Data IntSet |
Instance details Defined in Data.IntSet.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> IntSet -> c IntSet # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c IntSet # toConstr :: IntSet -> Constr # dataTypeOf :: IntSet -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c IntSet) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c IntSet) # gmapT :: (forall b. Data b => b -> b) -> IntSet -> IntSet # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> IntSet -> r # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> IntSet -> r # gmapQ :: (forall d. Data d => d -> u) -> IntSet -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> IntSet -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> IntSet -> m IntSet # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> IntSet -> m IntSet # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> IntSet -> m IntSet #
IsList IntSet | Since: containers-0.5.6.2
Instance details Defined in Data.IntSet.Internal Associated Types
type Item IntSet |
Instance details Defined in Data.IntSet.Internal type Item IntSet = Key
Methods fromList :: [Item IntSet] -> IntSet # fromListN :: Int -> [Item IntSet] -> IntSet # toList :: IntSet -> [Item IntSet] #
Read IntSet |
Instance details Defined in Data.IntSet.Internal Methods readsPrec :: Int -> ReadS IntSet # readList :: ReadS [IntSet] # readPrec :: ReadPrec IntSet # readListPrec :: ReadPrec [IntSet] #
Show IntSet |
Instance details Defined in Data.IntSet.Internal Methods showsPrec :: Int -> IntSet -> ShowS # show :: IntSet -> String # showList :: [IntSet] -> ShowS #
Eq IntSet |
Instance details Defined in Data.IntSet.Internal Methods (==) :: IntSet -> IntSet -> Bool # (/=) :: IntSet -> IntSet -> Bool #
Ord IntSet |
Instance details Defined in Data.IntSet.Internal Methods compare :: IntSet -> IntSet -> Ordering # (<) :: IntSet -> IntSet -> Bool # (<=) :: IntSet -> IntSet -> Bool # (>) :: IntSet -> IntSet -> Bool # (>=) :: IntSet -> IntSet -> Bool # max :: IntSet -> IntSet -> IntSet # min :: IntSet -> IntSet -> IntSet #
Hashable IntSet | Since: hashable-1.3.4.0
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> IntSet -> Int # hash :: IntSet -> Int #
Lift IntSet | Since: containers-0.6.6
Instance details Defined in Data.IntSet.Internal Methods lift :: Quote m => IntSet -> m Exp # liftTyped :: forall (m :: Type -> Type). Quote m => IntSet -> Code m IntSet #
type Item IntSet |
Instance details Defined in Data.IntSet.Internal type Item IntSet = Key

data Seq a #

General-purpose finite sequences.

#### Instances

Instances details

MonadZip Seq |
     mzipWith = zipWith
     munzip = unzip
Since: containers-0.5.10.1
Instance details Defined in Data.Sequence.Internal Methods mzip :: Seq a -> Seq b -> Seq (a, b) # mzipWith :: (a -> b -> c) -> Seq a -> Seq b -> Seq c # munzip :: Seq (a, b) -> (Seq a, Seq b) #
Eq1 Seq | Since: containers-0.5.9
Instance details Defined in Data.Sequence.Internal Methods liftEq :: (a -> b -> Bool) -> Seq a -> Seq b -> Bool #
Ord1 Seq | Since: containers-0.5.9
Instance details Defined in Data.Sequence.Internal Methods liftCompare :: (a -> b -> Ordering) -> Seq a -> Seq b -> Ordering #
Read1 Seq | Since: containers-0.5.9
Instance details Defined in Data.Sequence.Internal Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Seq a) # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Seq a] # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Seq a) # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Seq a] #
Show1 Seq | Since: containers-0.5.9
Instance details Defined in Data.Sequence.Internal Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Seq a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Seq a] -> ShowS #
UnzipWith Seq |
Instance details Defined in Data.Sequence.Internal Methods unzipWith' :: (x -> (a, b)) -> Seq x -> (Seq a, Seq b)
Alternative Seq | Since: containers-0.5.4
Instance details Defined in Data.Sequence.Internal Methods empty :: Seq a # (<|>) :: Seq a -> Seq a -> Seq a # some :: Seq a -> Seq [a] # many :: Seq a -> Seq [a] #
Applicative Seq | Since: containers-0.5.4
Instance details Defined in Data.Sequence.Internal Methods pure :: a -> Seq a # (<*>) :: Seq (a -> b) -> Seq a -> Seq b # liftA2 :: (a -> b -> c) -> Seq a -> Seq b -> Seq c # (*>) :: Seq a -> Seq b -> Seq b # (<*) :: Seq a -> Seq b -> Seq a #
Functor Seq |
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> Seq a -> Seq b # (<$) :: a -> Seq b -> Seq a #
Monad Seq |
Instance details Defined in Data.Sequence.Internal Methods (>>=) :: Seq a -> (a -> Seq b) -> Seq b # (>>) :: Seq a -> Seq b -> Seq b # return :: a -> Seq a #
MonadPlus Seq |
Instance details Defined in Data.Sequence.Internal Methods mzero :: Seq a # mplus :: Seq a -> Seq a -> Seq a #
MonadFix Seq | Since: containers-0.5.11
Instance details Defined in Data.Sequence.Internal Methods mfix :: (a -> Seq a) -> Seq a #
Foldable Seq |
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => Seq m -> m # foldMap :: Monoid m => (a -> m) -> Seq a -> m # foldMap' :: Monoid m => (a -> m) -> Seq a -> m # foldr :: (a -> b -> b) -> b -> Seq a -> b # foldr' :: (a -> b -> b) -> b -> Seq a -> b # foldl :: (b -> a -> b) -> b -> Seq a -> b # foldl' :: (b -> a -> b) -> b -> Seq a -> b # foldr1 :: (a -> a -> a) -> Seq a -> a # foldl1 :: (a -> a -> a) -> Seq a -> a # toList :: Seq a -> [a] # null :: Seq a -> Bool # length :: Seq a -> Int # elem :: Eq a => a -> Seq a -> Bool # maximum :: Ord a => Seq a -> a # minimum :: Ord a => Seq a -> a # sum :: Num a => Seq a -> a # product :: Num a => Seq a -> a #
Traversable Seq |
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> Seq a -> f (Seq b) # sequenceA :: Applicative f => Seq (f a) -> f (Seq a) # mapM :: Monad m => (a -> m b) -> Seq a -> m (Seq b) # sequence :: Monad m => Seq (m a) -> m (Seq a) #
Hashable1 Seq | Since: hashable-1.3.4.0
Instance details Defined in Data.Hashable.Class Methods liftHashWithSalt :: (Int -> a -> Int) -> Int -> Seq a -> Int #
Lift a => Lift (Seq a :: Type) | Since: containers-0.6.6
Instance details Defined in Data.Sequence.Internal Methods lift :: Quote m => Seq a -> m Exp # liftTyped :: forall (m :: Type -> Type). Quote m => Seq a -> Code m (Seq a) #
NFData a => NFData (Seq a) |
Instance details Defined in Data.Sequence.Internal Methods rnf :: Seq a -> () #
Monoid (Seq a) |
Instance details Defined in Data.Sequence.Internal Methods mempty :: Seq a # mappend :: Seq a -> Seq a -> Seq a # mconcat :: [Seq a] -> Seq a #
Semigroup (Seq a) | Since: containers-0.5.7
Instance details Defined in Data.Sequence.Internal Methods (<>) :: Seq a -> Seq a -> Seq a # sconcat :: NonEmpty (Seq a) -> Seq a # stimes :: Integral b => b -> Seq a -> Seq a #
Data a => Data (Seq a) |
Instance details Defined in Data.Sequence.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Seq a -> c (Seq a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Seq a) # toConstr :: Seq a -> Constr # dataTypeOf :: Seq a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Seq a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Seq a)) # gmapT :: (forall b. Data b => b -> b) -> Seq a -> Seq a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Seq a -> r # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Seq a -> r # gmapQ :: (forall d. Data d => d -> u) -> Seq a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Seq a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a) #
a ~ Char => IsString (Seq a) | Since: containers-0.5.7
Instance details Defined in Data.Sequence.Internal Methods fromString :: String -> Seq a #
IsList (Seq a) |
Instance details Defined in Data.Sequence.Internal Associated Types
type Item (Seq a) |
Instance details Defined in Data.Sequence.Internal type Item (Seq a) = a
Methods fromList :: [Item (Seq a)] -> Seq a # fromListN :: Int -> [Item (Seq a)] -> Seq a # toList :: Seq a -> [Item (Seq a)] #
Read a => Read (Seq a) |
Instance details Defined in Data.Sequence.Internal Methods readsPrec :: Int -> ReadS (Seq a) # readList :: ReadS [Seq a] # readPrec :: ReadPrec (Seq a) # readListPrec :: ReadPrec [Seq a] #
Show a => Show (Seq a) |
Instance details Defined in Data.Sequence.Internal Methods showsPrec :: Int -> Seq a -> ShowS # show :: Seq a -> String # showList :: [Seq a] -> ShowS #
Eq a => Eq (Seq a) |
Instance details Defined in Data.Sequence.Internal Methods (==) :: Seq a -> Seq a -> Bool # (/=) :: Seq a -> Seq a -> Bool #
Ord a => Ord (Seq a) |
Instance details Defined in Data.Sequence.Internal Methods compare :: Seq a -> Seq a -> Ordering # (<) :: Seq a -> Seq a -> Bool # (<=) :: Seq a -> Seq a -> Bool # (>) :: Seq a -> Seq a -> Bool # (>=) :: Seq a -> Seq a -> Bool # max :: Seq a -> Seq a -> Seq a # min :: Seq a -> Seq a -> Seq a #
Hashable v => Hashable (Seq v) | Since: hashable-1.3.4.0
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Seq v -> Int # hash :: Seq v -> Int #
type Item (Seq a) |
Instance details Defined in Data.Sequence.Internal type Item (Seq a) = a

data Vector a #

#### Instances

Instances details

MonadZip Vector |
Instance details Defined in Data.Vector Methods mzip :: Vector a -> Vector b -> Vector (a, b) # mzipWith :: (a -> b -> c) -> Vector a -> Vector b -> Vector c # munzip :: Vector (a, b) -> (Vector a, Vector b) #
Eq1 Vector |
Instance details Defined in Data.Vector Methods liftEq :: (a -> b -> Bool) -> Vector a -> Vector b -> Bool #
Ord1 Vector |
Instance details Defined in Data.Vector Methods liftCompare :: (a -> b -> Ordering) -> Vector a -> Vector b -> Ordering #
Read1 Vector |
Instance details Defined in Data.Vector Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Vector a) # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Vector a] # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Vector a) # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Vector a] #
Show1 Vector |
Instance details Defined in Data.Vector Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Vector a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Vector a] -> ShowS #
NFData1 Vector |
Instance details Defined in Data.Vector Methods liftRnf :: (a -> ()) -> Vector a -> () #
Alternative Vector |
Instance details Defined in Data.Vector Methods empty :: Vector a # (<|>) :: Vector a -> Vector a -> Vector a # some :: Vector a -> Vector [a] # many :: Vector a -> Vector [a] #
Applicative Vector |
Instance details Defined in Data.Vector Methods pure :: a -> Vector a # (<*>) :: Vector (a -> b) -> Vector a -> Vector b # liftA2 :: (a -> b -> c) -> Vector a -> Vector b -> Vector c # (*>) :: Vector a -> Vector b -> Vector b # (<*) :: Vector a -> Vector b -> Vector a #
Functor Vector |
Instance details Defined in Data.Vector Methods fmap :: (a -> b) -> Vector a -> Vector b # (<$) :: a -> Vector b -> Vector a #
Monad Vector |
Instance details Defined in Data.Vector Methods (>>=) :: Vector a -> (a -> Vector b) -> Vector b # (>>) :: Vector a -> Vector b -> Vector b # return :: a -> Vector a #
MonadPlus Vector |
Instance details Defined in Data.Vector Methods mzero :: Vector a # mplus :: Vector a -> Vector a -> Vector a #
MonadFail Vector |
Instance details Defined in Data.Vector Methods fail :: String -> Vector a #
MonadFix Vector |
Instance details Defined in Data.Vector Methods mfix :: (a -> Vector a) -> Vector a #
Foldable Vector |
Instance details Defined in Data.Vector Methods fold :: Monoid m => Vector m -> m # foldMap :: Monoid m => (a -> m) -> Vector a -> m # foldMap' :: Monoid m => (a -> m) -> Vector a -> m # foldr :: (a -> b -> b) -> b -> Vector a -> b # foldr' :: (a -> b -> b) -> b -> Vector a -> b # foldl :: (b -> a -> b) -> b -> Vector a -> b # foldl' :: (b -> a -> b) -> b -> Vector a -> b # foldr1 :: (a -> a -> a) -> Vector a -> a # foldl1 :: (a -> a -> a) -> Vector a -> a # toList :: Vector a -> [a] # null :: Vector a -> Bool # length :: Vector a -> Int # elem :: Eq a => a -> Vector a -> Bool # maximum :: Ord a => Vector a -> a # minimum :: Ord a => Vector a -> a # sum :: Num a => Vector a -> a # product :: Num a => Vector a -> a #
Traversable Vector |
Instance details Defined in Data.Vector Methods traverse :: Applicative f => (a -> f b) -> Vector a -> f (Vector b) # sequenceA :: Applicative f => Vector (f a) -> f (Vector a) # mapM :: Monad m => (a -> m b) -> Vector a -> m (Vector b) # sequence :: Monad m => Vector (m a) -> m (Vector a) #
Vector Vector a |
Instance details 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 () elemseq :: Vector a -> a -> b -> b
NFData a => NFData (Vector a) |
Instance details Defined in Data.Vector Methods rnf :: Vector a -> () #
Monoid (Vector a) |
Instance details Defined in Data.Vector Methods mempty :: Vector a # mappend :: Vector a -> Vector a -> Vector a # mconcat :: [Vector a] -> Vector a #
Semigroup (Vector a) |
Instance details Defined in Data.Vector Methods (<>) :: Vector a -> Vector a -> Vector a # sconcat :: NonEmpty (Vector a) -> Vector a # stimes :: Integral b => b -> Vector a -> Vector a #
Data a => Data (Vector a) |
Instance details 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) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Vector a) # toConstr :: Vector a -> Constr # dataTypeOf :: Vector a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Vector a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Vector a)) # gmapT :: (forall b. Data b => b -> b) -> Vector a -> Vector a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Vector a -> r # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Vector a -> r # gmapQ :: (forall d. Data d => d -> u) -> Vector a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Vector a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Vector a -> m (Vector a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Vector a -> m (Vector a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Vector a -> m (Vector a) #
IsList (Vector a) |
Instance details Defined in Data.Vector Associated Types
type Item (Vector a) |
Instance details Defined in Data.Vector type Item (Vector a) = a
Methods fromList :: [Item (Vector a)] -> Vector a # fromListN :: Int -> [Item (Vector a)] -> Vector a # toList :: Vector a -> [Item (Vector a)] #
Read a => Read (Vector a) |
Instance details Defined in Data.Vector Methods readsPrec :: Int -> ReadS (Vector a) # readList :: ReadS [Vector a] # readPrec :: ReadPrec (Vector a) # readListPrec :: ReadPrec [Vector a] #
Show a => Show (Vector a) |
Instance details Defined in Data.Vector Methods showsPrec :: Int -> Vector a -> ShowS # show :: Vector a -> String # showList :: [Vector a] -> ShowS #
Eq a => Eq (Vector a) |
Instance details Defined in Data.Vector Methods (==) :: Vector a -> Vector a -> Bool # (/=) :: Vector a -> Vector a -> Bool #
Ord a => Ord (Vector a) |
Instance details Defined in Data.Vector Methods compare :: Vector a -> Vector a -> Ordering # (<) :: Vector a -> Vector a -> Bool # (<=) :: Vector a -> Vector a -> Bool # (>) :: Vector a -> Vector a -> Bool # (>=) :: Vector a -> Vector a -> Bool # max :: Vector a -> Vector a -> Vector a # min :: Vector a -> Vector a -> Vector a #
type Mutable Vector |
Instance details Defined in Data.Vector type Mutable Vector = MVector
type Item (Vector a) |
Instance details Defined in Data.Vector type Item (Vector a) = a

type UVector = Vector #

class (Vector Vector a, MVector MVector a) => Unbox a #

#### Instances

Instances details

Unbox All |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox Any |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox Int16 |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox Int32 |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox Int64 |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox Int8 |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox Word16 |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox Word32 |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox Word64 |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox Word8 |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox () |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox Bool |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox Char |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox Double |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox Float |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox Int |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox Word |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox a => Unbox (Complex a) |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox a => Unbox (First a) |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox a => Unbox (Last a) |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox a => Unbox (Max a) |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox a => Unbox (Min a) |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox a => Unbox (WrappedMonoid a) |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox a => Unbox (Identity a) |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox a => Unbox (Down a) |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox a => Unbox (Dual a) |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox a => Unbox (Product a) |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox a => Unbox (Sum a) |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox (DoNotUnboxLazy a) |
Instance details Defined in Data.Vector.Unboxed.Base
NFData a => Unbox (DoNotUnboxNormalForm a) |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox (DoNotUnboxStrict a) |
Instance details Defined in Data.Vector.Unboxed.Base
(Unbox a, Unbox b) => Unbox (Arg a b) |
Instance details Defined in Data.Vector.Unboxed.Base
(Unbox a, Unbox b) => Unbox (a, b) |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox a => Unbox (Const a b) |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox (f a) => Unbox (Alt f a) |
Instance details Defined in Data.Vector.Unboxed.Base
(Unbox a, Unbox b, Unbox c) => Unbox (a, b, c) |
Instance details Defined in Data.Vector.Unboxed.Base
(Unbox a, Unbox b, Unbox c, Unbox d) => Unbox (a, b, c, d) |
Instance details Defined in Data.Vector.Unboxed.Base
Unbox (f (g a)) => Unbox (Compose f g a) |
Instance details Defined in Data.Vector.Unboxed.Base
(Unbox a, Unbox b, Unbox c, Unbox d, Unbox e) => Unbox (a, b, c, d, e) |
Instance details 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) |
Instance details Defined in Data.Vector.Unboxed.Base

type SVector = Vector #

class Storable a #

The member functions of this class facilitate writing values of primitive types to raw memory (which may have been allocated with the above mentioned routines) and reading values from blocks of raw memory. The class, furthermore, includes support for computing the storage requirements and alignment restrictions of storable types.

Memory addresses are represented as values of type ``Ptr` a`, for some `a` which is an instance of class `Storable`. The type argument to `Ptr` helps provide some valuable type safety in FFI code (you can't mix pointers of different types without an explicit cast), while helping the Haskell type system figure out which marshalling method is needed for a given pointer.

All marshalling between Haskell and a foreign language ultimately boils down to translating Haskell data structures into the binary representation of a corresponding data structure of the foreign language and vice versa. To code this marshalling in Haskell, it is necessary to manipulate primitive data types stored in unstructured memory blocks. The class `Storable` facilitates this manipulation on all types for which it is instantiated, which are the standard basic types of Haskell, the fixed size `Int` types (`Int8`, `Int16`, `Int32`, `Int64`), the fixed size `Word` types (`Word8`, `Word16`, `Word32`, `Word64`), `StablePtr`, all types from Foreign.C.Types, as well as `Ptr`.

Minimal complete definition

sizeOf, alignment, (peek | peekElemOff | peekByteOff), (poke | pokeElemOff | pokeByteOff)

#### Instances

Instances details

Storable Fingerprint | @since base-4.4.0.0
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Fingerprint -> Int # alignment :: Fingerprint -> Int # peekElemOff :: Ptr Fingerprint -> Int -> IO Fingerprint # pokeElemOff :: Ptr Fingerprint -> Int -> Fingerprint -> IO () # peekByteOff :: Ptr b -> Int -> IO Fingerprint # pokeByteOff :: Ptr b -> Int -> Fingerprint -> IO () # peek :: Ptr Fingerprint -> IO Fingerprint # poke :: Ptr Fingerprint -> Fingerprint -> IO () #
Storable CBool |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CBool -> Int # alignment :: CBool -> Int # peekElemOff :: Ptr CBool -> Int -> IO CBool # pokeElemOff :: Ptr CBool -> Int -> CBool -> IO () # peekByteOff :: Ptr b -> Int -> IO CBool # pokeByteOff :: Ptr b -> Int -> CBool -> IO () # peek :: Ptr CBool -> IO CBool # poke :: Ptr CBool -> CBool -> IO () #
Storable CChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CChar -> Int # alignment :: CChar -> Int # peekElemOff :: Ptr CChar -> Int -> IO CChar # pokeElemOff :: Ptr CChar -> Int -> CChar -> IO () # peekByteOff :: Ptr b -> Int -> IO CChar # pokeByteOff :: Ptr b -> Int -> CChar -> IO () # peek :: Ptr CChar -> IO CChar # poke :: Ptr CChar -> CChar -> IO () #
Storable CClock |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CClock -> Int # alignment :: CClock -> Int # peekElemOff :: Ptr CClock -> Int -> IO CClock # pokeElemOff :: Ptr CClock -> Int -> CClock -> IO () # peekByteOff :: Ptr b -> Int -> IO CClock # pokeByteOff :: Ptr b -> Int -> CClock -> IO () # peek :: Ptr CClock -> IO CClock # poke :: Ptr CClock -> CClock -> IO () #
Storable CDouble |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CDouble -> Int # alignment :: CDouble -> Int # peekElemOff :: Ptr CDouble -> Int -> IO CDouble # pokeElemOff :: Ptr CDouble -> Int -> CDouble -> IO () # peekByteOff :: Ptr b -> Int -> IO CDouble # pokeByteOff :: Ptr b -> Int -> CDouble -> IO () # peek :: Ptr CDouble -> IO CDouble # poke :: Ptr CDouble -> CDouble -> IO () #
Storable CFloat |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CFloat -> Int # alignment :: CFloat -> Int # peekElemOff :: Ptr CFloat -> Int -> IO CFloat # pokeElemOff :: Ptr CFloat -> Int -> CFloat -> IO () # peekByteOff :: Ptr b -> Int -> IO CFloat # pokeByteOff :: Ptr b -> Int -> CFloat -> IO () # peek :: Ptr CFloat -> IO CFloat # poke :: Ptr CFloat -> CFloat -> IO () #
Storable CInt |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CInt -> Int # alignment :: CInt -> Int # peekElemOff :: Ptr CInt -> Int -> IO CInt # pokeElemOff :: Ptr CInt -> Int -> CInt -> IO () # peekByteOff :: Ptr b -> Int -> IO CInt # pokeByteOff :: Ptr b -> Int -> CInt -> IO () # peek :: Ptr CInt -> IO CInt # poke :: Ptr CInt -> CInt -> IO () #
Storable CIntMax |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CIntMax -> Int # alignment :: CIntMax -> Int # peekElemOff :: Ptr CIntMax -> Int -> IO CIntMax # pokeElemOff :: Ptr CIntMax -> Int -> CIntMax -> IO () # peekByteOff :: Ptr b -> Int -> IO CIntMax # pokeByteOff :: Ptr b -> Int -> CIntMax -> IO () # peek :: Ptr CIntMax -> IO CIntMax # poke :: Ptr CIntMax -> CIntMax -> IO () #
Storable CIntPtr |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CIntPtr -> Int # alignment :: CIntPtr -> Int # peekElemOff :: Ptr CIntPtr -> Int -> IO CIntPtr # pokeElemOff :: Ptr CIntPtr -> Int -> CIntPtr -> IO () # peekByteOff :: Ptr b -> Int -> IO CIntPtr # pokeByteOff :: Ptr b -> Int -> CIntPtr -> IO () # peek :: Ptr CIntPtr -> IO CIntPtr # poke :: Ptr CIntPtr -> CIntPtr -> IO () #
Storable CLLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CLLong -> Int # alignment :: CLLong -> Int # peekElemOff :: Ptr CLLong -> Int -> IO CLLong # pokeElemOff :: Ptr CLLong -> Int -> CLLong -> IO () # peekByteOff :: Ptr b -> Int -> IO CLLong # pokeByteOff :: Ptr b -> Int -> CLLong -> IO () # peek :: Ptr CLLong -> IO CLLong # poke :: Ptr CLLong -> CLLong -> IO () #
Storable CLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CLong -> Int # alignment :: CLong -> Int # peekElemOff :: Ptr CLong -> Int -> IO CLong # pokeElemOff :: Ptr CLong -> Int -> CLong -> IO () # peekByteOff :: Ptr b -> Int -> IO CLong # pokeByteOff :: Ptr b -> Int -> CLong -> IO () # peek :: Ptr CLong -> IO CLong # poke :: Ptr CLong -> CLong -> IO () #
Storable CPtrdiff |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CPtrdiff -> Int # alignment :: CPtrdiff -> Int # peekElemOff :: Ptr CPtrdiff -> Int -> IO CPtrdiff # pokeElemOff :: Ptr CPtrdiff -> Int -> CPtrdiff -> IO () # peekByteOff :: Ptr b -> Int -> IO CPtrdiff # pokeByteOff :: Ptr b -> Int -> CPtrdiff -> IO () # peek :: Ptr CPtrdiff -> IO CPtrdiff # poke :: Ptr CPtrdiff -> CPtrdiff -> IO () #
Storable CSChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CSChar -> Int # alignment :: CSChar -> Int # peekElemOff :: Ptr CSChar -> Int -> IO CSChar # pokeElemOff :: Ptr CSChar -> Int -> CSChar -> IO () # peekByteOff :: Ptr b -> Int -> IO CSChar # pokeByteOff :: Ptr b -> Int -> CSChar -> IO () # peek :: Ptr CSChar -> IO CSChar # poke :: Ptr CSChar -> CSChar -> IO () #
Storable CSUSeconds |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CSUSeconds -> Int # alignment :: CSUSeconds -> Int # peekElemOff :: Ptr CSUSeconds -> Int -> IO CSUSeconds # pokeElemOff :: Ptr CSUSeconds -> Int -> CSUSeconds -> IO () # peekByteOff :: Ptr b -> Int -> IO CSUSeconds # pokeByteOff :: Ptr b -> Int -> CSUSeconds -> IO () # peek :: Ptr CSUSeconds -> IO CSUSeconds # poke :: Ptr CSUSeconds -> CSUSeconds -> IO () #
Storable CShort |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CShort -> Int # alignment :: CShort -> Int # peekElemOff :: Ptr CShort -> Int -> IO CShort # pokeElemOff :: Ptr CShort -> Int -> CShort -> IO () # peekByteOff :: Ptr b -> Int -> IO CShort # pokeByteOff :: Ptr b -> Int -> CShort -> IO () # peek :: Ptr CShort -> IO CShort # poke :: Ptr CShort -> CShort -> IO () #
Storable CSigAtomic |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CSigAtomic -> Int # alignment :: CSigAtomic -> Int # peekElemOff :: Ptr CSigAtomic -> Int -> IO CSigAtomic # pokeElemOff :: Ptr CSigAtomic -> Int -> CSigAtomic -> IO () # peekByteOff :: Ptr b -> Int -> IO CSigAtomic # pokeByteOff :: Ptr b -> Int -> CSigAtomic -> IO () # peek :: Ptr CSigAtomic -> IO CSigAtomic # poke :: Ptr CSigAtomic -> CSigAtomic -> IO () #
Storable CSize |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CSize -> Int # alignment :: CSize -> Int # peekElemOff :: Ptr CSize -> Int -> IO CSize # pokeElemOff :: Ptr CSize -> Int -> CSize -> IO () # peekByteOff :: Ptr b -> Int -> IO CSize # pokeByteOff :: Ptr b -> Int -> CSize -> IO () # peek :: Ptr CSize -> IO CSize # poke :: Ptr CSize -> CSize -> IO () #
Storable CTime |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CTime -> Int # alignment :: CTime -> Int # peekElemOff :: Ptr CTime -> Int -> IO CTime # pokeElemOff :: Ptr CTime -> Int -> CTime -> IO () # peekByteOff :: Ptr b -> Int -> IO CTime # pokeByteOff :: Ptr b -> Int -> CTime -> IO () # peek :: Ptr CTime -> IO CTime # poke :: Ptr CTime -> CTime -> IO () #
Storable CUChar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CUChar -> Int # alignment :: CUChar -> Int # peekElemOff :: Ptr CUChar -> Int -> IO CUChar # pokeElemOff :: Ptr CUChar -> Int -> CUChar -> IO () # peekByteOff :: Ptr b -> Int -> IO CUChar # pokeByteOff :: Ptr b -> Int -> CUChar -> IO () # peek :: Ptr CUChar -> IO CUChar # poke :: Ptr CUChar -> CUChar -> IO () #
Storable CUInt |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CUInt -> Int # alignment :: CUInt -> Int # peekElemOff :: Ptr CUInt -> Int -> IO CUInt # pokeElemOff :: Ptr CUInt -> Int -> CUInt -> IO () # peekByteOff :: Ptr b -> Int -> IO CUInt # pokeByteOff :: Ptr b -> Int -> CUInt -> IO () # peek :: Ptr CUInt -> IO CUInt # poke :: Ptr CUInt -> CUInt -> IO () #
Storable CUIntMax |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CUIntMax -> Int # alignment :: CUIntMax -> Int # peekElemOff :: Ptr CUIntMax -> Int -> IO CUIntMax # pokeElemOff :: Ptr CUIntMax -> Int -> CUIntMax -> IO () # peekByteOff :: Ptr b -> Int -> IO CUIntMax # pokeByteOff :: Ptr b -> Int -> CUIntMax -> IO () # peek :: Ptr CUIntMax -> IO CUIntMax # poke :: Ptr CUIntMax -> CUIntMax -> IO () #
Storable CUIntPtr |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CUIntPtr -> Int # alignment :: CUIntPtr -> Int # peekElemOff :: Ptr CUIntPtr -> Int -> IO CUIntPtr # pokeElemOff :: Ptr CUIntPtr -> Int -> CUIntPtr -> IO () # peekByteOff :: Ptr b -> Int -> IO CUIntPtr # pokeByteOff :: Ptr b -> Int -> CUIntPtr -> IO () # peek :: Ptr CUIntPtr -> IO CUIntPtr # poke :: Ptr CUIntPtr -> CUIntPtr -> IO () #
Storable CULLong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CULLong -> Int # alignment :: CULLong -> Int # peekElemOff :: Ptr CULLong -> Int -> IO CULLong # pokeElemOff :: Ptr CULLong -> Int -> CULLong -> IO () # peekByteOff :: Ptr b -> Int -> IO CULLong # pokeByteOff :: Ptr b -> Int -> CULLong -> IO () # peek :: Ptr CULLong -> IO CULLong # poke :: Ptr CULLong -> CULLong -> IO () #
Storable CULong |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CULong -> Int # alignment :: CULong -> Int # peekElemOff :: Ptr CULong -> Int -> IO CULong # pokeElemOff :: Ptr CULong -> Int -> CULong -> IO () # peekByteOff :: Ptr b -> Int -> IO CULong # pokeByteOff :: Ptr b -> Int -> CULong -> IO () # peek :: Ptr CULong -> IO CULong # poke :: Ptr CULong -> CULong -> IO () #
Storable CUSeconds |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CUSeconds -> Int # alignment :: CUSeconds -> Int # peekElemOff :: Ptr CUSeconds -> Int -> IO CUSeconds # pokeElemOff :: Ptr CUSeconds -> Int -> CUSeconds -> IO () # peekByteOff :: Ptr b -> Int -> IO CUSeconds # pokeByteOff :: Ptr b -> Int -> CUSeconds -> IO () # peek :: Ptr CUSeconds -> IO CUSeconds # poke :: Ptr CUSeconds -> CUSeconds -> IO () #
Storable CUShort |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CUShort -> Int # alignment :: CUShort -> Int # peekElemOff :: Ptr CUShort -> Int -> IO CUShort # pokeElemOff :: Ptr CUShort -> Int -> CUShort -> IO () # peekByteOff :: Ptr b -> Int -> IO CUShort # pokeByteOff :: Ptr b -> Int -> CUShort -> IO () # peek :: Ptr CUShort -> IO CUShort # poke :: Ptr CUShort -> CUShort -> IO () #
Storable CWchar |
Instance details Defined in GHC.Internal.Foreign.C.Types Methods sizeOf :: CWchar -> Int # alignment :: CWchar -> Int # peekElemOff :: Ptr CWchar -> Int -> IO CWchar # pokeElemOff :: Ptr CWchar -> Int -> CWchar -> IO () # peekByteOff :: Ptr b -> Int -> IO CWchar # pokeByteOff :: Ptr b -> Int -> CWchar -> IO () # peek :: Ptr CWchar -> IO CWchar # poke :: Ptr CWchar -> CWchar -> IO () #
Storable Int16 | @since base-2.01
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Int16 -> Int # alignment :: Int16 -> Int # peekElemOff :: Ptr Int16 -> Int -> IO Int16 # pokeElemOff :: Ptr Int16 -> Int -> Int16 -> IO () # peekByteOff :: Ptr b -> Int -> IO Int16 # pokeByteOff :: Ptr b -> Int -> Int16 -> IO () # peek :: Ptr Int16 -> IO Int16 # poke :: Ptr Int16 -> Int16 -> IO () #
Storable Int32 | @since base-2.01
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Int32 -> Int # alignment :: Int32 -> Int # peekElemOff :: Ptr Int32 -> Int -> IO Int32 # pokeElemOff :: Ptr Int32 -> Int -> Int32 -> IO () # peekByteOff :: Ptr b -> Int -> IO Int32 # pokeByteOff :: Ptr b -> Int -> Int32 -> IO () # peek :: Ptr Int32 -> IO Int32 # poke :: Ptr Int32 -> Int32 -> IO () #
Storable Int64 | @since base-2.01
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Int64 -> Int # alignment :: Int64 -> Int # peekElemOff :: Ptr Int64 -> Int -> IO Int64 # pokeElemOff :: Ptr Int64 -> Int -> Int64 -> IO () # peekByteOff :: Ptr b -> Int -> IO Int64 # pokeByteOff :: Ptr b -> Int -> Int64 -> IO () # peek :: Ptr Int64 -> IO Int64 # poke :: Ptr Int64 -> Int64 -> IO () #
Storable Int8 | @since base-2.01
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Int8 -> Int # alignment :: Int8 -> Int # peekElemOff :: Ptr Int8 -> Int -> IO Int8 # pokeElemOff :: Ptr Int8 -> Int -> Int8 -> IO () # peekByteOff :: Ptr b -> Int -> IO Int8 # pokeByteOff :: Ptr b -> Int -> Int8 -> IO () # peek :: Ptr Int8 -> IO Int8 # poke :: Ptr Int8 -> Int8 -> IO () #
Storable Word16 | @since base-2.01
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Word16 -> Int # alignment :: Word16 -> Int # peekElemOff :: Ptr Word16 -> Int -> IO Word16 # pokeElemOff :: Ptr Word16 -> Int -> Word16 -> IO () # peekByteOff :: Ptr b -> Int -> IO Word16 # pokeByteOff :: Ptr b -> Int -> Word16 -> IO () # peek :: Ptr Word16 -> IO Word16 # poke :: Ptr Word16 -> Word16 -> IO () #
Storable Word32 | @since base-2.01
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Word32 -> Int # alignment :: Word32 -> Int # peekElemOff :: Ptr Word32 -> Int -> IO Word32 # pokeElemOff :: Ptr Word32 -> Int -> Word32 -> IO () # peekByteOff :: Ptr b -> Int -> IO Word32 # pokeByteOff :: Ptr b -> Int -> Word32 -> IO () # peek :: Ptr Word32 -> IO Word32 # poke :: Ptr Word32 -> Word32 -> IO () #
Storable Word64 | @since base-2.01
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Word64 -> Int # alignment :: Word64 -> Int # peekElemOff :: Ptr Word64 -> Int -> IO Word64 # pokeElemOff :: Ptr Word64 -> Int -> Word64 -> IO () # peekByteOff :: Ptr b -> Int -> IO Word64 # pokeByteOff :: Ptr b -> Int -> Word64 -> IO () # peek :: Ptr Word64 -> IO Word64 # poke :: Ptr Word64 -> Word64 -> IO () #
Storable Word8 | @since base-2.01
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Word8 -> Int # alignment :: Word8 -> Int # peekElemOff :: Ptr Word8 -> Int -> IO Word8 # pokeElemOff :: Ptr Word8 -> Int -> Word8 -> IO () # peekByteOff :: Ptr b -> Int -> IO Word8 # pokeByteOff :: Ptr b -> Int -> Word8 -> IO () # peek :: Ptr Word8 -> IO Word8 # poke :: Ptr Word8 -> Word8 -> IO () #
Storable () | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: () -> Int # alignment :: () -> Int # peekElemOff :: Ptr () -> Int -> IO () # pokeElemOff :: Ptr () -> Int -> () -> IO () # peekByteOff :: Ptr b -> Int -> IO () # pokeByteOff :: Ptr b -> Int -> () -> IO () # peek :: Ptr () -> IO () # poke :: Ptr () -> () -> IO () #
Storable Bool | @since base-2.01
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Bool -> Int # alignment :: Bool -> Int # peekElemOff :: Ptr Bool -> Int -> IO Bool # pokeElemOff :: Ptr Bool -> Int -> Bool -> IO () # peekByteOff :: Ptr b -> Int -> IO Bool # pokeByteOff :: Ptr b -> Int -> Bool -> IO () # peek :: Ptr Bool -> IO Bool # poke :: Ptr Bool -> Bool -> IO () #
Storable Char | @since base-2.01
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Char -> Int # alignment :: Char -> Int # peekElemOff :: Ptr Char -> Int -> IO Char # pokeElemOff :: Ptr Char -> Int -> Char -> IO () # peekByteOff :: Ptr b -> Int -> IO Char # pokeByteOff :: Ptr b -> Int -> Char -> IO () # peek :: Ptr Char -> IO Char # poke :: Ptr Char -> Char -> IO () #
Storable Double | @since base-2.01
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Double -> Int # alignment :: Double -> Int # peekElemOff :: Ptr Double -> Int -> IO Double # pokeElemOff :: Ptr Double -> Int -> Double -> IO () # peekByteOff :: Ptr b -> Int -> IO Double # pokeByteOff :: Ptr b -> Int -> Double -> IO () # peek :: Ptr Double -> IO Double # poke :: Ptr Double -> Double -> IO () #
Storable Float | @since base-2.01
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Float -> Int # alignment :: Float -> Int # peekElemOff :: Ptr Float -> Int -> IO Float # pokeElemOff :: Ptr Float -> Int -> Float -> IO () # peekByteOff :: Ptr b -> Int -> IO Float # pokeByteOff :: Ptr b -> Int -> Float -> IO () # peek :: Ptr Float -> IO Float # poke :: Ptr Float -> Float -> IO () #
Storable Int | @since base-2.01
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Int -> Int # alignment :: Int -> Int # peekElemOff :: Ptr Int -> Int -> IO Int # pokeElemOff :: Ptr Int -> Int -> Int -> IO () # peekByteOff :: Ptr b -> Int -> IO Int # pokeByteOff :: Ptr b -> Int -> Int -> IO () # peek :: Ptr Int -> IO Int # poke :: Ptr Int -> Int -> IO () #
Storable Word | @since base-2.01
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Word -> Int # alignment :: Word -> Int # peekElemOff :: Ptr Word -> Int -> IO Word # pokeElemOff :: Ptr Word -> Int -> Word -> IO () # peekByteOff :: Ptr b -> Int -> IO Word # pokeByteOff :: Ptr b -> Int -> Word -> IO () # peek :: Ptr Word -> IO Word # poke :: Ptr Word -> Word -> IO () #
Storable a => Storable (Complex a) | Since: base-4.8.0.0
Instance details Defined in Data.Complex Methods sizeOf :: Complex a -> Int # alignment :: Complex a -> Int # peekElemOff :: Ptr (Complex a) -> Int -> IO (Complex a) # pokeElemOff :: Ptr (Complex a) -> Int -> Complex a -> IO () # peekByteOff :: Ptr b -> Int -> IO (Complex a) # pokeByteOff :: Ptr b -> Int -> Complex a -> IO () # peek :: Ptr (Complex a) -> IO (Complex a) # poke :: Ptr (Complex a) -> Complex a -> IO () #
Storable a => Storable (Down a) | @since base-4.14.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods sizeOf :: Down a -> Int # alignment :: Down a -> Int # peekElemOff :: Ptr (Down a) -> Int -> IO (Down a) # pokeElemOff :: Ptr (Down a) -> Int -> Down a -> IO () # peekByteOff :: Ptr b -> Int -> IO (Down a) # pokeByteOff :: Ptr b -> Int -> Down a -> IO () # peek :: Ptr (Down a) -> IO (Down a) # poke :: Ptr (Down a) -> Down a -> IO () #
Storable (ConstPtr a) |
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: ConstPtr a -> Int # alignment :: ConstPtr a -> Int # peekElemOff :: Ptr (ConstPtr a) -> Int -> IO (ConstPtr a) # pokeElemOff :: Ptr (ConstPtr a) -> Int -> ConstPtr a -> IO () # peekByteOff :: Ptr b -> Int -> IO (ConstPtr a) # pokeByteOff :: Ptr b -> Int -> ConstPtr a -> IO () # peek :: Ptr (ConstPtr a) -> IO (ConstPtr a) # poke :: Ptr (ConstPtr a) -> ConstPtr a -> IO () #
Storable (FunPtr a) | @since base-2.01
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: FunPtr a -> Int # alignment :: FunPtr a -> Int # peekElemOff :: Ptr (FunPtr a) -> Int -> IO (FunPtr a) # pokeElemOff :: Ptr (FunPtr a) -> Int -> FunPtr a -> IO () # peekByteOff :: Ptr b -> Int -> IO (FunPtr a) # pokeByteOff :: Ptr b -> Int -> FunPtr a -> IO () # peek :: Ptr (FunPtr a) -> IO (FunPtr a) # poke :: Ptr (FunPtr a) -> FunPtr a -> IO () #
Storable (Ptr a) | @since base-2.01
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Ptr a -> Int # alignment :: Ptr a -> Int # peekElemOff :: Ptr (Ptr a) -> Int -> IO (Ptr a) # pokeElemOff :: Ptr (Ptr a) -> Int -> Ptr a -> IO () # peekByteOff :: Ptr b -> Int -> IO (Ptr a) # pokeByteOff :: Ptr b -> Int -> Ptr a -> IO () # peek :: Ptr (Ptr a) -> IO (Ptr a) # poke :: Ptr (Ptr a) -> Ptr a -> IO () #
(Storable a, Integral a) => Storable (Ratio a) | @since base-4.8.0.0
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Ratio a -> Int # alignment :: Ratio a -> Int # peekElemOff :: Ptr (Ratio a) -> Int -> IO (Ratio a) # pokeElemOff :: Ptr (Ratio a) -> Int -> Ratio a -> IO () # peekByteOff :: Ptr b -> Int -> IO (Ratio a) # pokeByteOff :: Ptr b -> Int -> Ratio a -> IO () # peek :: Ptr (Ratio a) -> IO (Ratio a) # poke :: Ptr (Ratio a) -> Ratio a -> IO () #
Storable (StablePtr a) | @since base-2.01
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: StablePtr a -> Int # alignment :: StablePtr a -> Int # peekElemOff :: Ptr (StablePtr a) -> Int -> IO (StablePtr a) # pokeElemOff :: Ptr (StablePtr a) -> Int -> StablePtr a -> IO () # peekByteOff :: Ptr b -> Int -> IO (StablePtr a) # pokeByteOff :: Ptr b -> Int -> StablePtr a -> IO () # peek :: Ptr (StablePtr a) -> IO (StablePtr a) # poke :: Ptr (StablePtr a) -> StablePtr a -> IO () #

class Eq a => Hashable a #

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

Instances details

Hashable ByteArray | This instance was available since 1.4.1.0 only for GHC-9.4+ Since: hashable-1.4.2.0
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> ByteArray -> Int # hash :: ByteArray -> Int #
Hashable ByteString |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> ByteString -> Int # hash :: ByteString -> Int #
Hashable ByteString |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> ByteString -> Int # hash :: ByteString -> Int #
Hashable ShortByteString |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> ShortByteString -> Int # hash :: ShortByteString -> Int #
Hashable IntSet | Since: hashable-1.3.4.0
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> IntSet -> Int # hash :: IntSet -> Int #
Hashable BigNat |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> BigNat -> Int # hash :: BigNat -> Int #
Hashable Void |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Void -> Int # hash :: Void -> Int #
Hashable ThreadId |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> ThreadId -> Int # hash :: ThreadId -> Int #
Hashable SomeTypeRep |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> SomeTypeRep -> Int # hash :: SomeTypeRep -> Int #
Hashable Unique |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Unique -> Int # hash :: Unique -> Int #
Hashable Version |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Version -> Int # hash :: Version -> Int #
Hashable Fingerprint | Since: hashable-1.3.0.0
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Fingerprint -> Int # hash :: Fingerprint -> Int #
Hashable IntPtr |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> IntPtr -> Int # hash :: IntPtr -> Int #
Hashable WordPtr |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> WordPtr -> Int # hash :: WordPtr -> Int #
Hashable Int16 |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Int16 -> Int # hash :: Int16 -> Int #
Hashable Int32 |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Int32 -> Int # hash :: Int32 -> Int #
Hashable Int64 |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Int64 -> Int # hash :: Int64 -> Int #
Hashable Int8 |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Int8 -> Int # hash :: Int8 -> Int #
Hashable Word16 |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Word16 -> Int # hash :: Word16 -> Int #
Hashable Word32 |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Word32 -> Int # hash :: Word32 -> Int #
Hashable Word64 |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Word64 -> Int # hash :: Word64 -> Int #
Hashable Word8 |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Word8 -> Int # hash :: Word8 -> Int #
Hashable Ordering |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Ordering -> Int # hash :: Ordering -> Int #
Hashable OsString | Since: hashable-1.4.2.0
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> OsString -> Int # hash :: OsString -> Int #
Hashable PosixString | Since: hashable-1.4.2.0
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> PosixString -> Int # hash :: PosixString -> Int #
Hashable WindowsString | Since: hashable-1.4.2.0
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> WindowsString -> Int # hash :: WindowsString -> Int #
Hashable Text |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Text -> Int # hash :: Text -> Int #
Hashable Text |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Text -> Int # hash :: Text -> Int #
Hashable Integer |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Integer -> Int # hash :: Integer -> Int #
Hashable Natural |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Natural -> Int # hash :: Natural -> Int #
Hashable () |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> () -> Int # hash :: () -> Int #
Hashable Bool |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Bool -> Int # hash :: Bool -> Int #
Hashable Char |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Char -> Int # hash :: Char -> Int #
Hashable Double | Note: prior to `hashable-1.3.0.0`, `hash 0.0 /= hash (-0.0)` The `hash` of NaN is not well defined. Since: hashable-1.3.0.0
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Double -> Int # hash :: Double -> Int #
Hashable Float | Note: prior to `hashable-1.3.0.0`, `hash 0.0 /= hash (-0.0)` The `hash` of NaN is not well defined. Since: hashable-1.3.0.0
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Float -> Int # hash :: Float -> Int #
Hashable Int |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Int -> Int # hash :: Int -> Int #
Hashable Word |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Word -> Int # hash :: Word -> Int #
Hashable a => Hashable (Complex a) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Complex a -> Int # hash :: Complex a -> Int #
Hashable a => Hashable (First a) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> First a -> Int # hash :: First a -> Int #
Hashable a => Hashable (Last a) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Last a -> Int # hash :: Last a -> Int #
Hashable a => Hashable (Max a) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Max a -> Int # hash :: Max a -> Int #
Hashable a => Hashable (Min a) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Min a -> Int # hash :: Min a -> Int #
Hashable a => Hashable (WrappedMonoid a) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> WrappedMonoid a -> Int # hash :: WrappedMonoid a -> Int #
Hashable v => Hashable (IntMap v) | Since: hashable-1.3.4.0
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> IntMap v -> Int # hash :: IntMap v -> Int #
Hashable v => Hashable (Seq v) | Since: hashable-1.3.4.0
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Seq v -> Int # hash :: Seq v -> Int #
Hashable v => Hashable (Set v) | Since: hashable-1.3.4.0
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Set v -> Int # hash :: Set v -> Int #
Hashable v => Hashable (Tree v) | Since: hashable-1.3.4.0
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Tree v -> Int # hash :: Tree v -> Int #
Hashable a => Hashable (NonEmpty a) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> NonEmpty a -> Int # hash :: NonEmpty a -> Int #
Hashable a => Hashable (Identity a) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Identity a -> Int # hash :: Identity a -> Int #
Hashable (FunPtr a) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> FunPtr a -> Int # hash :: FunPtr a -> Int #
Hashable (Ptr a) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Ptr a -> Int # hash :: Ptr a -> Int #
Hashable a => Hashable (Ratio a) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Ratio a -> Int # hash :: Ratio a -> Int #
Hashable (StableName a) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> StableName a -> Int # hash :: StableName a -> Int #
Eq a => Hashable (Hashed a) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Hashed a -> Int # hash :: Hashed a -> Int #
Hashable a => Hashable (HashSet a) |
Instance details Defined in Data.HashSet.Internal Methods hashWithSalt :: Int -> HashSet a -> Int # hash :: HashSet a -> Int #
Hashable a => Hashable (Maybe a) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Maybe a -> Int # hash :: Maybe a -> Int #
Hashable a => Hashable (Solo a) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Solo a -> Int # hash :: Solo a -> Int #
Hashable a => Hashable [a] |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> [a] -> Int # hash :: [a] -> Int #
Hashable (Fixed a) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Fixed a -> Int # hash :: Fixed a -> Int #
Hashable a => Hashable (Arg a b) | Note: Prior to `hashable-1.3.0.0` the hash computation included the second argument of `Arg` which wasn't consistent with its `Eq` instance. Since `hashable-1.5.0.0`, `hash (Semi.arg a _) = hash a` Since: hashable-1.3.0.0
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Arg a b -> Int # hash :: Arg a b -> Int #
(Hashable k, Hashable v) => Hashable (Map k v) | Since: hashable-1.3.4.0
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Map k v -> Int # hash :: Map k v -> Int #
(Hashable a, Hashable b) => Hashable (Either a b) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Either a b -> Int # hash :: Either a b -> Int #
Hashable (Proxy a) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Proxy a -> Int # hash :: Proxy a -> Int #
Hashable (TypeRep a) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> TypeRep a -> Int # hash :: TypeRep a -> Int #
(Hashable k, Hashable v) => Hashable (HashMap k v) |
Instance details Defined in Data.HashMap.Internal Methods hashWithSalt :: Int -> HashMap k v -> Int # hash :: HashMap k v -> Int #
(Hashable a1, Hashable a2) => Hashable (a1, a2) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> (a1, a2) -> Int # hash :: (a1, a2) -> Int #
Hashable a => Hashable (Const a b) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Const a b -> Int # hash :: Const a b -> Int #
(Hashable a1, Hashable a2, Hashable a3) => Hashable (a1, a2, a3) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> (a1, a2, a3) -> Int # hash :: (a1, a2, a3) -> Int #
(Hashable (f a), Hashable (g a)) => Hashable (Product f g a) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Product f g a -> Int # hash :: Product f g a -> Int #
(Hashable (f a), Hashable (g a)) => Hashable (Sum f g a) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Sum f g a -> Int # hash :: Sum f g a -> Int #
(Hashable a1, Hashable a2, Hashable a3, Hashable a4) => Hashable (a1, a2, a3, a4) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> (a1, a2, a3, a4) -> Int # hash :: (a1, a2, a3, a4) -> Int #
Hashable (f (g a)) => Hashable (Compose f g a) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Compose f g a -> Int # hash :: Compose f g a -> Int #
(Hashable a1, Hashable a2, Hashable a3, Hashable a4, Hashable a5) => Hashable (a1, a2, a3, a4, a5) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> (a1, a2, a3, a4, a5) -> Int # hash :: (a1, a2, a3, a4, a5) -> Int #
(Hashable a1, Hashable a2, Hashable a3, Hashable a4, Hashable a5, Hashable a6) => Hashable (a1, a2, a3, a4, a5, a6) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> (a1, a2, a3, a4, a5, a6) -> Int # hash :: (a1, a2, a3, a4, a5, a6) -> Int #
(Hashable a1, Hashable a2, Hashable a3, Hashable a4, Hashable a5, Hashable a6, Hashable a7) => Hashable (a1, a2, a3, a4, a5, a6, a7) |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> (a1, a2, a3, a4, a5, a6, a7) -> Int # hash :: (a1, a2, a3, a4, a5, a6, a7) -> Int #

## Numbers

data Word #

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

#### Instances

Instances details

PrintfArg Word | Since: base-2.1
Instance details Defined in Text.Printf Methods formatArg :: Word -> FieldFormatter # parseFormat :: Word -> ModifierParser #
Bounded Word | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods minBound :: Word # maxBound :: Word #
Enum Word | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods succ :: Word -> Word # pred :: Word -> Word # toEnum :: Int -> Word # fromEnum :: Word -> Int # enumFrom :: Word -> [Word] # enumFromThen :: Word -> Word -> [Word] # enumFromTo :: Word -> Word -> [Word] # enumFromThenTo :: Word -> Word -> Word -> [Word] #
Storable Word | @since base-2.01
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Word -> Int # alignment :: Word -> Int # peekElemOff :: Ptr Word -> Int -> IO Word # pokeElemOff :: Ptr Word -> Int -> Word -> IO () # peekByteOff :: Ptr b -> Int -> IO Word # pokeByteOff :: Ptr b -> Int -> Word -> IO () # peek :: Ptr Word -> IO Word # poke :: Ptr Word -> Word -> IO () #
Num Word | @since base-2.01
Instance details Defined in GHC.Internal.Num Methods (+) :: Word -> Word -> Word # (-) :: Word -> Word -> Word # (*) :: Word -> Word -> Word # negate :: Word -> Word # abs :: Word -> Word # signum :: Word -> Word # fromInteger :: Integer -> Word #
Read Word | @since base-4.5.0.0
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Word # readList :: ReadS [Word] # readPrec :: ReadPrec Word # readListPrec :: ReadPrec [Word] #
Integral Word | @since base-2.01
Instance details Defined in GHC.Internal.Real Methods quot :: Word -> Word -> Word # rem :: Word -> Word -> Word # div :: Word -> Word -> Word # mod :: Word -> Word -> Word # quotRem :: Word -> Word -> (Word, Word) # divMod :: Word -> Word -> (Word, Word) # toInteger :: Word -> Integer #
Real Word | @since base-2.01
Instance details Defined in GHC.Internal.Real Methods toRational :: Word -> Rational #
Show Word | @since base-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Word -> ShowS # show :: Word -> String # showList :: [Word] -> ShowS #
Eq Word |
Instance details Defined in GHC.Classes Methods (==) :: Word -> Word -> Bool # (/=) :: Word -> Word -> Bool #
Ord Word |
Instance details Defined in GHC.Classes Methods compare :: Word -> Word -> Ordering # (<) :: Word -> Word -> Bool # (<=) :: Word -> Word -> Bool # (>) :: Word -> Word -> Bool # (>=) :: Word -> Word -> Bool # max :: Word -> Word -> Word # min :: Word -> Word -> Word #
Hashable Word |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Word -> Int # hash :: Word -> Int #
Unbox Word |
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Word |
Instance details 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 () elemseq :: Vector Word -> Word -> b -> b
MVector MVector Word |
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Word -> Int basicUnsafeSlice :: Int -> Int -> MVector s Word -> MVector s Word basicOverlaps :: MVector s Word -> MVector s Word -> Bool basicUnsafeNew :: 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) |
Instance details Defined in GHC.Internal.Generics Associated Types
type Rep1 (URec Word :: k -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (URec Word :: k -> Type) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UWord" 'PrefixI 'True) (S1 ('MetaSel ('Just "uWord#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UWord :: k -> Type)))
Methods from1 :: forall (a :: k). URec Word a -> Rep1 (URec Word :: k -> Type) a # to1 :: forall (a :: k). Rep1 (URec Word :: k -> Type) a -> URec Word a #
Foldable (UWord :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => UWord m -> m # foldMap :: Monoid m => (a -> m) -> UWord a -> m # foldMap' :: Monoid m => (a -> m) -> UWord a -> m # foldr :: (a -> b -> b) -> b -> UWord a -> b # foldr' :: (a -> b -> b) -> b -> UWord a -> b # foldl :: (b -> a -> b) -> b -> UWord a -> b # foldl' :: (b -> a -> b) -> b -> UWord a -> b # foldr1 :: (a -> a -> a) -> UWord a -> a # foldl1 :: (a -> a -> a) -> UWord a -> a # toList :: UWord a -> [a] # null :: UWord a -> Bool # length :: UWord a -> Int # elem :: Eq a => a -> UWord a -> Bool # maximum :: Ord a => UWord a -> a # minimum :: Ord a => UWord a -> a # sum :: Num a => UWord a -> a # product :: Num a => UWord a -> a #
Traversable (UWord :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> UWord a -> f (UWord b) # sequenceA :: Applicative f => UWord (f a) -> f (UWord a) # mapM :: Monad m => (a -> m b) -> UWord a -> m (UWord b) # sequence :: Monad m => UWord (m a) -> m (UWord a) #
Functor (URec Word :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> URec Word a -> URec Word b # (<$) :: a -> URec Word b -> URec Word a #
Generic (URec Word p) |
Instance details Defined in GHC.Internal.Generics Associated Types
type Rep (URec Word p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep (URec Word p) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UWord" 'PrefixI 'True) (S1 ('MetaSel ('Just "uWord#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UWord :: Type -> Type)))
Methods from :: URec Word p -> Rep (URec Word p) x # to :: Rep (URec Word p) x -> URec Word p #
Show (URec Word p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> URec Word p -> ShowS # show :: URec Word p -> String # showList :: [URec Word p] -> ShowS #
Eq (URec Word p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: URec Word p -> URec Word p -> Bool # (/=) :: URec Word p -> URec Word p -> Bool #
Ord (URec Word p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: URec Word p -> URec Word p -> Ordering # (<) :: URec Word p -> URec Word p -> Bool # (<=) :: URec Word p -> URec Word p -> Bool # (>) :: URec Word p -> URec Word p -> Bool # (>=) :: URec Word p -> URec Word p -> Bool # max :: URec Word p -> URec Word p -> URec Word p # min :: URec Word p -> URec Word p -> URec Word p #
newtype Vector Word |
Instance details Defined in Data.Vector.Unboxed.Base newtype Vector Word = V_Word (Vector Word)
data URec Word (p :: k) | Used for marking occurrences of `Word#` @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics data URec Word (p :: k) = UWord { uWord# :: Word# }
newtype MVector s Word |
Instance details Defined in Data.Vector.Unboxed.Base newtype MVector s Word = MV_Word (MVector s Word)
type Rep1 (URec Word :: k -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (URec Word :: k -> Type) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UWord" 'PrefixI 'True) (S1 ('MetaSel ('Just "uWord#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UWord :: k -> Type)))
type Rep (URec Word p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep (URec Word p) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UWord" 'PrefixI 'True) (S1 ('MetaSel ('Just "uWord#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UWord :: Type -> Type)))

data Word8 #

8-bit unsigned integer type

#### Instances

Instances details

PrintfArg Word8 | Since: base-2.1
Instance details Defined in Text.Printf Methods formatArg :: Word8 -> FieldFormatter # parseFormat :: Word8 -> ModifierParser #
Bits Word8 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods (.&.) :: Word8 -> Word8 -> Word8 # (.|.) :: Word8 -> Word8 -> Word8 # xor :: Word8 -> Word8 -> Word8 # complement :: Word8 -> Word8 # shift :: Word8 -> Int -> Word8 # rotate :: Word8 -> Int -> Word8 # zeroBits :: Word8 # bit :: Int -> Word8 # setBit :: Word8 -> Int -> Word8 # clearBit :: Word8 -> Int -> Word8 # complementBit :: Word8 -> Int -> Word8 # testBit :: Word8 -> Int -> Bool # bitSizeMaybe :: Word8 -> Maybe Int # bitSize :: Word8 -> Int # isSigned :: Word8 -> Bool # shiftL :: Word8 -> Int -> Word8 # unsafeShiftL :: Word8 -> Int -> Word8 # shiftR :: Word8 -> Int -> Word8 # unsafeShiftR :: Word8 -> Int -> Word8 # rotateL :: Word8 -> Int -> Word8 # rotateR :: Word8 -> Int -> Word8 # popCount :: Word8 -> Int #
FiniteBits Word8 | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Word Methods finiteBitSize :: Word8 -> Int # countLeadingZeros :: Word8 -> Int # countTrailingZeros :: Word8 -> Int #
Bounded Word8 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods minBound :: Word8 # maxBound :: Word8 #
Enum Word8 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods succ :: Word8 -> Word8 # pred :: Word8 -> Word8 # toEnum :: Int -> Word8 # fromEnum :: Word8 -> Int # enumFrom :: Word8 -> [Word8] # enumFromThen :: Word8 -> Word8 -> [Word8] # enumFromTo :: Word8 -> Word8 -> [Word8] # enumFromThenTo :: Word8 -> Word8 -> Word8 -> [Word8] #
Storable Word8 | @since base-2.01
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Word8 -> Int # alignment :: Word8 -> Int # peekElemOff :: Ptr Word8 -> Int -> IO Word8 # pokeElemOff :: Ptr Word8 -> Int -> Word8 -> IO () # peekByteOff :: Ptr b -> Int -> IO Word8 # pokeByteOff :: Ptr b -> Int -> Word8 -> IO () # peek :: Ptr Word8 -> IO Word8 # poke :: Ptr Word8 -> Word8 -> IO () #
Ix Word8 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods range :: (Word8, Word8) -> [Word8] # index :: (Word8, Word8) -> Word8 -> Int # unsafeIndex :: (Word8, Word8) -> Word8 -> Int # inRange :: (Word8, Word8) -> Word8 -> Bool # rangeSize :: (Word8, Word8) -> Int # unsafeRangeSize :: (Word8, Word8) -> Int #
Num Word8 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods (+) :: Word8 -> Word8 -> Word8 # (-) :: Word8 -> Word8 -> Word8 # (*) :: Word8 -> Word8 -> Word8 # negate :: Word8 -> Word8 # abs :: Word8 -> Word8 # signum :: Word8 -> Word8 # fromInteger :: Integer -> Word8 #
Read Word8 | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Word8 # readList :: ReadS [Word8] # readPrec :: ReadPrec Word8 # readListPrec :: ReadPrec [Word8] #
Integral Word8 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods quot :: Word8 -> Word8 -> Word8 # rem :: Word8 -> Word8 -> Word8 # div :: Word8 -> Word8 -> Word8 # mod :: Word8 -> Word8 -> Word8 # quotRem :: Word8 -> Word8 -> (Word8, Word8) # divMod :: Word8 -> Word8 -> (Word8, Word8) # toInteger :: Word8 -> Integer #
Real Word8 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods toRational :: Word8 -> Rational #
Show Word8 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods showsPrec :: Int -> Word8 -> ShowS # show :: Word8 -> String # showList :: [Word8] -> ShowS #
Eq Word8 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods (==) :: Word8 -> Word8 -> Bool # (/=) :: Word8 -> Word8 -> Bool #
Ord Word8 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods compare :: Word8 -> Word8 -> Ordering # (<) :: Word8 -> Word8 -> Bool # (<=) :: Word8 -> Word8 -> Bool # (>) :: Word8 -> Word8 -> Bool # (>=) :: Word8 -> Word8 -> Bool # max :: Word8 -> Word8 -> Word8 # min :: Word8 -> Word8 -> Word8 #
Hashable Word8 |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Word8 -> Int # hash :: Word8 -> Int #
Unbox Word8 |
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Word8 |
Instance details 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 () elemseq :: Vector Word8 -> Word8 -> b -> b
MVector MVector Word8 |
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Word8 -> Int basicUnsafeSlice :: Int -> Int -> MVector s Word8 -> MVector s Word8 basicOverlaps :: MVector s Word8 -> MVector s Word8 -> Bool basicUnsafeNew :: 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 |
Instance details Defined in Data.Vector.Unboxed.Base newtype Vector Word8 = V_Word8 (Vector Word8)
newtype MVector s Word8 |
Instance details Defined in Data.Vector.Unboxed.Base newtype MVector s Word8 = MV_Word8 (MVector s Word8)

data Word32 #

32-bit unsigned integer type

#### Instances

Instances details

PrintfArg Word32 | Since: base-2.1
Instance details Defined in Text.Printf Methods formatArg :: Word32 -> FieldFormatter # parseFormat :: Word32 -> ModifierParser #
Bits Word32 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods (.&.) :: Word32 -> Word32 -> Word32 # (.|.) :: Word32 -> Word32 -> Word32 # xor :: Word32 -> Word32 -> Word32 # complement :: Word32 -> Word32 # shift :: Word32 -> Int -> Word32 # rotate :: Word32 -> Int -> Word32 # zeroBits :: Word32 # bit :: Int -> Word32 # setBit :: Word32 -> Int -> Word32 # clearBit :: Word32 -> Int -> Word32 # complementBit :: Word32 -> Int -> Word32 # testBit :: Word32 -> Int -> Bool # bitSizeMaybe :: Word32 -> Maybe Int # bitSize :: Word32 -> Int # isSigned :: Word32 -> Bool # shiftL :: Word32 -> Int -> Word32 # unsafeShiftL :: Word32 -> Int -> Word32 # shiftR :: Word32 -> Int -> Word32 # unsafeShiftR :: Word32 -> Int -> Word32 # rotateL :: Word32 -> Int -> Word32 # rotateR :: Word32 -> Int -> Word32 # popCount :: Word32 -> Int #
FiniteBits Word32 | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Word Methods finiteBitSize :: Word32 -> Int # countLeadingZeros :: Word32 -> Int # countTrailingZeros :: Word32 -> Int #
Bounded Word32 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods minBound :: Word32 # maxBound :: Word32 #
Enum Word32 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods succ :: Word32 -> Word32 # pred :: Word32 -> Word32 # toEnum :: Int -> Word32 # fromEnum :: Word32 -> Int # enumFrom :: Word32 -> [Word32] # enumFromThen :: Word32 -> Word32 -> [Word32] # enumFromTo :: Word32 -> Word32 -> [Word32] # enumFromThenTo :: Word32 -> Word32 -> Word32 -> [Word32] #
Storable Word32 | @since base-2.01
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Word32 -> Int # alignment :: Word32 -> Int # peekElemOff :: Ptr Word32 -> Int -> IO Word32 # pokeElemOff :: Ptr Word32 -> Int -> Word32 -> IO () # peekByteOff :: Ptr b -> Int -> IO Word32 # pokeByteOff :: Ptr b -> Int -> Word32 -> IO () # peek :: Ptr Word32 -> IO Word32 # poke :: Ptr Word32 -> Word32 -> IO () #
Ix Word32 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods range :: (Word32, Word32) -> [Word32] # index :: (Word32, Word32) -> Word32 -> Int # unsafeIndex :: (Word32, Word32) -> Word32 -> Int # inRange :: (Word32, Word32) -> Word32 -> Bool # rangeSize :: (Word32, Word32) -> Int # unsafeRangeSize :: (Word32, Word32) -> Int #
Num Word32 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods (+) :: Word32 -> Word32 -> Word32 # (-) :: Word32 -> Word32 -> Word32 # (*) :: Word32 -> Word32 -> Word32 # negate :: Word32 -> Word32 # abs :: Word32 -> Word32 # signum :: Word32 -> Word32 # fromInteger :: Integer -> Word32 #
Read Word32 | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Word32 # readList :: ReadS [Word32] # readPrec :: ReadPrec Word32 # readListPrec :: ReadPrec [Word32] #
Integral Word32 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods quot :: Word32 -> Word32 -> Word32 # rem :: Word32 -> Word32 -> Word32 # div :: Word32 -> Word32 -> Word32 # mod :: Word32 -> Word32 -> Word32 # quotRem :: Word32 -> Word32 -> (Word32, Word32) # divMod :: Word32 -> Word32 -> (Word32, Word32) # toInteger :: Word32 -> Integer #
Real Word32 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods toRational :: Word32 -> Rational #
Show Word32 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods showsPrec :: Int -> Word32 -> ShowS # show :: Word32 -> String # showList :: [Word32] -> ShowS #
Eq Word32 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods (==) :: Word32 -> Word32 -> Bool # (/=) :: Word32 -> Word32 -> Bool #
Ord Word32 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods compare :: Word32 -> Word32 -> Ordering # (<) :: Word32 -> Word32 -> Bool # (<=) :: Word32 -> Word32 -> Bool # (>) :: Word32 -> Word32 -> Bool # (>=) :: Word32 -> Word32 -> Bool # max :: Word32 -> Word32 -> Word32 # min :: Word32 -> Word32 -> Word32 #
Hashable Word32 |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Word32 -> Int # hash :: Word32 -> Int #
Unbox Word32 |
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Word32 |
Instance details 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 () elemseq :: Vector Word32 -> Word32 -> b -> b
MVector MVector Word32 |
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Word32 -> Int basicUnsafeSlice :: Int -> Int -> MVector s Word32 -> MVector s Word32 basicOverlaps :: MVector s Word32 -> MVector s Word32 -> Bool basicUnsafeNew :: 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 |
Instance details Defined in Data.Vector.Unboxed.Base newtype Vector Word32 = V_Word32 (Vector Word32)
newtype MVector s Word32 |
Instance details Defined in Data.Vector.Unboxed.Base newtype MVector s Word32 = MV_Word32 (MVector s Word32)

data Word64 #

64-bit unsigned integer type

#### Instances

Instances details

PrintfArg Word64 | Since: base-2.1
Instance details Defined in Text.Printf Methods formatArg :: Word64 -> FieldFormatter # parseFormat :: Word64 -> ModifierParser #
Bits Word64 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods (.&.) :: Word64 -> Word64 -> Word64 # (.|.) :: Word64 -> Word64 -> Word64 # xor :: Word64 -> Word64 -> Word64 # complement :: Word64 -> Word64 # shift :: Word64 -> Int -> Word64 # rotate :: Word64 -> Int -> Word64 # zeroBits :: Word64 # bit :: Int -> Word64 # setBit :: Word64 -> Int -> Word64 # clearBit :: Word64 -> Int -> Word64 # complementBit :: Word64 -> Int -> Word64 # testBit :: Word64 -> Int -> Bool # bitSizeMaybe :: Word64 -> Maybe Int # bitSize :: Word64 -> Int # isSigned :: Word64 -> Bool # shiftL :: Word64 -> Int -> Word64 # unsafeShiftL :: Word64 -> Int -> Word64 # shiftR :: Word64 -> Int -> Word64 # unsafeShiftR :: Word64 -> Int -> Word64 # rotateL :: Word64 -> Int -> Word64 # rotateR :: Word64 -> Int -> Word64 # popCount :: Word64 -> Int #
FiniteBits Word64 | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Word Methods finiteBitSize :: Word64 -> Int # countLeadingZeros :: Word64 -> Int # countTrailingZeros :: Word64 -> Int #
Bounded Word64 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods minBound :: Word64 # maxBound :: Word64 #
Enum Word64 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods succ :: Word64 -> Word64 # pred :: Word64 -> Word64 # toEnum :: Int -> Word64 # fromEnum :: Word64 -> Int # enumFrom :: Word64 -> [Word64] # enumFromThen :: Word64 -> Word64 -> [Word64] # enumFromTo :: Word64 -> Word64 -> [Word64] # enumFromThenTo :: Word64 -> Word64 -> Word64 -> [Word64] #
Storable Word64 | @since base-2.01
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Word64 -> Int # alignment :: Word64 -> Int # peekElemOff :: Ptr Word64 -> Int -> IO Word64 # pokeElemOff :: Ptr Word64 -> Int -> Word64 -> IO () # peekByteOff :: Ptr b -> Int -> IO Word64 # pokeByteOff :: Ptr b -> Int -> Word64 -> IO () # peek :: Ptr Word64 -> IO Word64 # poke :: Ptr Word64 -> Word64 -> IO () #
Ix Word64 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods range :: (Word64, Word64) -> [Word64] # index :: (Word64, Word64) -> Word64 -> Int # unsafeIndex :: (Word64, Word64) -> Word64 -> Int # inRange :: (Word64, Word64) -> Word64 -> Bool # rangeSize :: (Word64, Word64) -> Int # unsafeRangeSize :: (Word64, Word64) -> Int #
Num Word64 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods (+) :: Word64 -> Word64 -> Word64 # (-) :: Word64 -> Word64 -> Word64 # (*) :: Word64 -> Word64 -> Word64 # negate :: Word64 -> Word64 # abs :: Word64 -> Word64 # signum :: Word64 -> Word64 # fromInteger :: Integer -> Word64 #
Read Word64 | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Word64 # readList :: ReadS [Word64] # readPrec :: ReadPrec Word64 # readListPrec :: ReadPrec [Word64] #
Integral Word64 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods quot :: Word64 -> Word64 -> Word64 # rem :: Word64 -> Word64 -> Word64 # div :: Word64 -> Word64 -> Word64 # mod :: Word64 -> Word64 -> Word64 # quotRem :: Word64 -> Word64 -> (Word64, Word64) # divMod :: Word64 -> Word64 -> (Word64, Word64) # toInteger :: Word64 -> Integer #
Real Word64 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods toRational :: Word64 -> Rational #
Show Word64 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods showsPrec :: Int -> Word64 -> ShowS # show :: Word64 -> String # showList :: [Word64] -> ShowS #
Eq Word64 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods (==) :: Word64 -> Word64 -> Bool # (/=) :: Word64 -> Word64 -> Bool #
Ord Word64 | @since base-2.01
Instance details Defined in GHC.Internal.Word Methods compare :: Word64 -> Word64 -> Ordering # (<) :: Word64 -> Word64 -> Bool # (<=) :: Word64 -> Word64 -> Bool # (>) :: Word64 -> Word64 -> Bool # (>=) :: Word64 -> Word64 -> Bool # max :: Word64 -> Word64 -> Word64 # min :: Word64 -> Word64 -> Word64 #
Hashable Word64 |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Word64 -> Int # hash :: Word64 -> Int #
Unbox Word64 |
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Word64 |
Instance details 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 () elemseq :: Vector Word64 -> Word64 -> b -> b
MVector MVector Word64 |
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Word64 -> Int basicUnsafeSlice :: Int -> Int -> MVector s Word64 -> MVector s Word64 basicOverlaps :: MVector s Word64 -> MVector s Word64 -> Bool basicUnsafeNew :: 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 |
Instance details Defined in Data.Vector.Unboxed.Base newtype Vector Word64 = V_Word64 (Vector Word64)
newtype MVector s Word64 |
Instance details Defined in Data.Vector.Unboxed.Base newtype MVector s Word64 = MV_Word64 (MVector s Word64)

data Int #

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

#### Instances

Instances details

PrintfArg Int | Since: base-2.1
Instance details Defined in Text.Printf Methods formatArg :: Int -> FieldFormatter # parseFormat :: Int -> ModifierParser #
Bounded Int | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods minBound :: Int # maxBound :: Int #
Enum Int | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods succ :: Int -> Int # pred :: Int -> Int # toEnum :: Int -> Int # fromEnum :: Int -> Int # enumFrom :: Int -> [Int] # enumFromThen :: Int -> Int -> [Int] # enumFromTo :: Int -> Int -> [Int] # enumFromThenTo :: Int -> Int -> Int -> [Int] #
Storable Int | @since base-2.01
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Int -> Int # alignment :: Int -> Int # peekElemOff :: Ptr Int -> Int -> IO Int # pokeElemOff :: Ptr Int -> Int -> Int -> IO () # peekByteOff :: Ptr b -> Int -> IO Int # pokeByteOff :: Ptr b -> Int -> Int -> IO () # peek :: Ptr Int -> IO Int # poke :: Ptr Int -> Int -> IO () #
Num Int | @since base-2.01
Instance details Defined in GHC.Internal.Num Methods (+) :: Int -> Int -> Int # (-) :: Int -> Int -> Int # (*) :: Int -> Int -> Int # negate :: Int -> Int # abs :: Int -> Int # signum :: Int -> Int # fromInteger :: Integer -> Int #
Read Int | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Int # readList :: ReadS [Int] # readPrec :: ReadPrec Int # readListPrec :: ReadPrec [Int] #
Integral Int | @since base-2.0.1
Instance details Defined in GHC.Internal.Real Methods quot :: Int -> Int -> Int # rem :: Int -> Int -> Int # div :: Int -> Int -> Int # mod :: Int -> Int -> Int # quotRem :: Int -> Int -> (Int, Int) # divMod :: Int -> Int -> (Int, Int) # toInteger :: Int -> Integer #
Real Int | @since base-2.0.1
Instance details Defined in GHC.Internal.Real Methods toRational :: Int -> Rational #
Show Int | @since base-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Int -> ShowS # show :: Int -> String # showList :: [Int] -> ShowS #
Eq Int |
Instance details Defined in GHC.Classes Methods (==) :: Int -> Int -> Bool # (/=) :: Int -> Int -> Bool #
Ord Int |
Instance details Defined in GHC.Classes Methods compare :: Int -> Int -> Ordering # (<) :: Int -> Int -> Bool # (<=) :: Int -> Int -> Bool # (>) :: Int -> Int -> Bool # (>=) :: Int -> Int -> Bool # max :: Int -> Int -> Int # min :: Int -> Int -> Int #
Hashable Int |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Int -> Int # hash :: Int -> Int #
Unbox Int |
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Int |
Instance details 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 () elemseq :: Vector Int -> Int -> b -> b
MVector MVector Int |
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Int -> Int basicUnsafeSlice :: Int -> Int -> MVector s Int -> MVector s Int basicOverlaps :: MVector s Int -> MVector s Int -> Bool basicUnsafeNew :: 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) |
Instance details Defined in GHC.Internal.Generics Associated Types
type Rep1 (URec Int :: k -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (URec Int :: k -> Type) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UInt" 'PrefixI 'True) (S1 ('MetaSel ('Just "uInt#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UInt :: k -> Type)))
Methods from1 :: forall (a :: k). URec Int a -> Rep1 (URec Int :: k -> Type) a # to1 :: forall (a :: k). Rep1 (URec Int :: k -> Type) a -> URec Int a #
Foldable (UInt :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => UInt m -> m # foldMap :: Monoid m => (a -> m) -> UInt a -> m # foldMap' :: Monoid m => (a -> m) -> UInt a -> m # foldr :: (a -> b -> b) -> b -> UInt a -> b # foldr' :: (a -> b -> b) -> b -> UInt a -> b # foldl :: (b -> a -> b) -> b -> UInt a -> b # foldl' :: (b -> a -> b) -> b -> UInt a -> b # foldr1 :: (a -> a -> a) -> UInt a -> a # foldl1 :: (a -> a -> a) -> UInt a -> a # toList :: UInt a -> [a] # null :: UInt a -> Bool # length :: UInt a -> Int # elem :: Eq a => a -> UInt a -> Bool # maximum :: Ord a => UInt a -> a # minimum :: Ord a => UInt a -> a # sum :: Num a => UInt a -> a # product :: Num a => UInt a -> a #
Traversable (UInt :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> UInt a -> f (UInt b) # sequenceA :: Applicative f => UInt (f a) -> f (UInt a) # mapM :: Monad m => (a -> m b) -> UInt a -> m (UInt b) # sequence :: Monad m => UInt (m a) -> m (UInt a) #
Functor (URec Int :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> URec Int a -> URec Int b # (<$) :: a -> URec Int b -> URec Int a #
Generic (URec Int p) |
Instance details Defined in GHC.Internal.Generics Associated Types
type Rep (URec Int p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep (URec Int p) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UInt" 'PrefixI 'True) (S1 ('MetaSel ('Just "uInt#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UInt :: Type -> Type)))
Methods from :: URec Int p -> Rep (URec Int p) x # to :: Rep (URec Int p) x -> URec Int p #
Show (URec Int p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> URec Int p -> ShowS # show :: URec Int p -> String # showList :: [URec Int p] -> ShowS #
Eq (URec Int p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: URec Int p -> URec Int p -> Bool # (/=) :: URec Int p -> URec Int p -> Bool #
Ord (URec Int p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: URec Int p -> URec Int p -> Ordering # (<) :: URec Int p -> URec Int p -> Bool # (<=) :: URec Int p -> URec Int p -> Bool # (>) :: URec Int p -> URec Int p -> Bool # (>=) :: URec Int p -> URec Int p -> Bool # max :: URec Int p -> URec Int p -> URec Int p # min :: URec Int p -> URec Int p -> URec Int p #
newtype Vector Int |
Instance details Defined in Data.Vector.Unboxed.Base newtype Vector Int = V_Int (Vector Int)
data URec Int (p :: k) | Used for marking occurrences of `Int#` @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics data URec Int (p :: k) = UInt { uInt# :: Int# }
newtype MVector s Int |
Instance details Defined in Data.Vector.Unboxed.Base newtype MVector s Int = MV_Int (MVector s Int)
type Rep1 (URec Int :: k -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (URec Int :: k -> Type) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UInt" 'PrefixI 'True) (S1 ('MetaSel ('Just "uInt#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UInt :: k -> Type)))
type Rep (URec Int p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep (URec Int p) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UInt" 'PrefixI 'True) (S1 ('MetaSel ('Just "uInt#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UInt :: Type -> Type)))

data Int32 #

32-bit signed integer type

#### Instances

Instances details

PrintfArg Int32 | Since: base-2.1
Instance details Defined in Text.Printf Methods formatArg :: Int32 -> FieldFormatter # parseFormat :: Int32 -> ModifierParser #
Bits Int32 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods (.&.) :: Int32 -> Int32 -> Int32 # (.|.) :: Int32 -> Int32 -> Int32 # xor :: Int32 -> Int32 -> Int32 # complement :: Int32 -> Int32 # shift :: Int32 -> Int -> Int32 # rotate :: Int32 -> Int -> Int32 # zeroBits :: Int32 # bit :: Int -> Int32 # setBit :: Int32 -> Int -> Int32 # clearBit :: Int32 -> Int -> Int32 # complementBit :: Int32 -> Int -> Int32 # testBit :: Int32 -> Int -> Bool # bitSizeMaybe :: Int32 -> Maybe Int # bitSize :: Int32 -> Int # isSigned :: Int32 -> Bool # shiftL :: Int32 -> Int -> Int32 # unsafeShiftL :: Int32 -> Int -> Int32 # shiftR :: Int32 -> Int -> Int32 # unsafeShiftR :: Int32 -> Int -> Int32 # rotateL :: Int32 -> Int -> Int32 # rotateR :: Int32 -> Int -> Int32 # popCount :: Int32 -> Int #
FiniteBits Int32 | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Int Methods finiteBitSize :: Int32 -> Int # countLeadingZeros :: Int32 -> Int # countTrailingZeros :: Int32 -> Int #
Bounded Int32 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods minBound :: Int32 # maxBound :: Int32 #
Enum Int32 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods succ :: Int32 -> Int32 # pred :: Int32 -> Int32 # toEnum :: Int -> Int32 # fromEnum :: Int32 -> Int # enumFrom :: Int32 -> [Int32] # enumFromThen :: Int32 -> Int32 -> [Int32] # enumFromTo :: Int32 -> Int32 -> [Int32] # enumFromThenTo :: Int32 -> Int32 -> Int32 -> [Int32] #
Storable Int32 | @since base-2.01
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Int32 -> Int # alignment :: Int32 -> Int # peekElemOff :: Ptr Int32 -> Int -> IO Int32 # pokeElemOff :: Ptr Int32 -> Int -> Int32 -> IO () # peekByteOff :: Ptr b -> Int -> IO Int32 # pokeByteOff :: Ptr b -> Int -> Int32 -> IO () # peek :: Ptr Int32 -> IO Int32 # poke :: Ptr Int32 -> Int32 -> IO () #
Ix Int32 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods range :: (Int32, Int32) -> [Int32] # index :: (Int32, Int32) -> Int32 -> Int # unsafeIndex :: (Int32, Int32) -> Int32 -> Int # inRange :: (Int32, Int32) -> Int32 -> Bool # rangeSize :: (Int32, Int32) -> Int # unsafeRangeSize :: (Int32, Int32) -> Int #
Num Int32 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods (+) :: Int32 -> Int32 -> Int32 # (-) :: Int32 -> Int32 -> Int32 # (*) :: Int32 -> Int32 -> Int32 # negate :: Int32 -> Int32 # abs :: Int32 -> Int32 # signum :: Int32 -> Int32 # fromInteger :: Integer -> Int32 #
Read Int32 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods readsPrec :: Int -> ReadS Int32 # readList :: ReadS [Int32] # readPrec :: ReadPrec Int32 # readListPrec :: ReadPrec [Int32] #
Integral Int32 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods quot :: Int32 -> Int32 -> Int32 # rem :: Int32 -> Int32 -> Int32 # div :: Int32 -> Int32 -> Int32 # mod :: Int32 -> Int32 -> Int32 # quotRem :: Int32 -> Int32 -> (Int32, Int32) # divMod :: Int32 -> Int32 -> (Int32, Int32) # toInteger :: Int32 -> Integer #
Real Int32 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods toRational :: Int32 -> Rational #
Show Int32 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods showsPrec :: Int -> Int32 -> ShowS # show :: Int32 -> String # showList :: [Int32] -> ShowS #
Eq Int32 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods (==) :: Int32 -> Int32 -> Bool # (/=) :: Int32 -> Int32 -> Bool #
Ord Int32 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods compare :: Int32 -> Int32 -> Ordering # (<) :: Int32 -> Int32 -> Bool # (<=) :: Int32 -> Int32 -> Bool # (>) :: Int32 -> Int32 -> Bool # (>=) :: Int32 -> Int32 -> Bool # max :: Int32 -> Int32 -> Int32 # min :: Int32 -> Int32 -> Int32 #
Hashable Int32 |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Int32 -> Int # hash :: Int32 -> Int #
Unbox Int32 |
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Int32 |
Instance details 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 () elemseq :: Vector Int32 -> Int32 -> b -> b
MVector MVector Int32 |
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Int32 -> Int basicUnsafeSlice :: Int -> Int -> MVector s Int32 -> MVector s Int32 basicOverlaps :: MVector s Int32 -> MVector s Int32 -> Bool basicUnsafeNew :: 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 |
Instance details Defined in Data.Vector.Unboxed.Base newtype Vector Int32 = V_Int32 (Vector Int32)
newtype MVector s Int32 |
Instance details Defined in Data.Vector.Unboxed.Base newtype MVector s Int32 = MV_Int32 (MVector s Int32)

data Int64 #

64-bit signed integer type

#### Instances

Instances details

PrintfArg Int64 | Since: base-2.1
Instance details Defined in Text.Printf Methods formatArg :: Int64 -> FieldFormatter # parseFormat :: Int64 -> ModifierParser #
Bits Int64 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods (.&.) :: Int64 -> Int64 -> Int64 # (.|.) :: Int64 -> Int64 -> Int64 # xor :: Int64 -> Int64 -> Int64 # complement :: Int64 -> Int64 # shift :: Int64 -> Int -> Int64 # rotate :: Int64 -> Int -> Int64 # zeroBits :: Int64 # bit :: Int -> Int64 # setBit :: Int64 -> Int -> Int64 # clearBit :: Int64 -> Int -> Int64 # complementBit :: Int64 -> Int -> Int64 # testBit :: Int64 -> Int -> Bool # bitSizeMaybe :: Int64 -> Maybe Int # bitSize :: Int64 -> Int # isSigned :: Int64 -> Bool # shiftL :: Int64 -> Int -> Int64 # unsafeShiftL :: Int64 -> Int -> Int64 # shiftR :: Int64 -> Int -> Int64 # unsafeShiftR :: Int64 -> Int -> Int64 # rotateL :: Int64 -> Int -> Int64 # rotateR :: Int64 -> Int -> Int64 # popCount :: Int64 -> Int #
FiniteBits Int64 | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Int Methods finiteBitSize :: Int64 -> Int # countLeadingZeros :: Int64 -> Int # countTrailingZeros :: Int64 -> Int #
Bounded Int64 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods minBound :: Int64 # maxBound :: Int64 #
Enum Int64 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods succ :: Int64 -> Int64 # pred :: Int64 -> Int64 # toEnum :: Int -> Int64 # fromEnum :: Int64 -> Int # enumFrom :: Int64 -> [Int64] # enumFromThen :: Int64 -> Int64 -> [Int64] # enumFromTo :: Int64 -> Int64 -> [Int64] # enumFromThenTo :: Int64 -> Int64 -> Int64 -> [Int64] #
Storable Int64 | @since base-2.01
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Int64 -> Int # alignment :: Int64 -> Int # peekElemOff :: Ptr Int64 -> Int -> IO Int64 # pokeElemOff :: Ptr Int64 -> Int -> Int64 -> IO () # peekByteOff :: Ptr b -> Int -> IO Int64 # pokeByteOff :: Ptr b -> Int -> Int64 -> IO () # peek :: Ptr Int64 -> IO Int64 # poke :: Ptr Int64 -> Int64 -> IO () #
Ix Int64 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods range :: (Int64, Int64) -> [Int64] # index :: (Int64, Int64) -> Int64 -> Int # unsafeIndex :: (Int64, Int64) -> Int64 -> Int # inRange :: (Int64, Int64) -> Int64 -> Bool # rangeSize :: (Int64, Int64) -> Int # unsafeRangeSize :: (Int64, Int64) -> Int #
Num Int64 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods (+) :: Int64 -> Int64 -> Int64 # (-) :: Int64 -> Int64 -> Int64 # (*) :: Int64 -> Int64 -> Int64 # negate :: Int64 -> Int64 # abs :: Int64 -> Int64 # signum :: Int64 -> Int64 # fromInteger :: Integer -> Int64 #
Read Int64 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods readsPrec :: Int -> ReadS Int64 # readList :: ReadS [Int64] # readPrec :: ReadPrec Int64 # readListPrec :: ReadPrec [Int64] #
Integral Int64 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods quot :: Int64 -> Int64 -> Int64 # rem :: Int64 -> Int64 -> Int64 # div :: Int64 -> Int64 -> Int64 # mod :: Int64 -> Int64 -> Int64 # quotRem :: Int64 -> Int64 -> (Int64, Int64) # divMod :: Int64 -> Int64 -> (Int64, Int64) # toInteger :: Int64 -> Integer #
Real Int64 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods toRational :: Int64 -> Rational #
Show Int64 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods showsPrec :: Int -> Int64 -> ShowS # show :: Int64 -> String # showList :: [Int64] -> ShowS #
Eq Int64 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods (==) :: Int64 -> Int64 -> Bool # (/=) :: Int64 -> Int64 -> Bool #
Ord Int64 | @since base-2.01
Instance details Defined in GHC.Internal.Int Methods compare :: Int64 -> Int64 -> Ordering # (<) :: Int64 -> Int64 -> Bool # (<=) :: Int64 -> Int64 -> Bool # (>) :: Int64 -> Int64 -> Bool # (>=) :: Int64 -> Int64 -> Bool # max :: Int64 -> Int64 -> Int64 # min :: Int64 -> Int64 -> Int64 #
Hashable Int64 |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Int64 -> Int # hash :: Int64 -> Int #
Unbox Int64 |
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Int64 |
Instance details 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 () elemseq :: Vector Int64 -> Int64 -> b -> b
MVector MVector Int64 |
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Int64 -> Int basicUnsafeSlice :: Int -> Int -> MVector s Int64 -> MVector s Int64 basicOverlaps :: MVector s Int64 -> MVector s Int64 -> Bool basicUnsafeNew :: 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 |
Instance details Defined in Data.Vector.Unboxed.Base newtype Vector Int64 = V_Int64 (Vector Int64)
newtype MVector s Int64 |
Instance details Defined in Data.Vector.Unboxed.Base newtype MVector s Int64 = MV_Int64 (MVector s Int64)

data Integer #

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

Instances details

PrintfArg Integer | Since: base-2.1
Instance details Defined in Text.Printf Methods formatArg :: Integer -> FieldFormatter # parseFormat :: Integer -> ModifierParser #
Enum Integer | @since base-2.01
Instance details Defined in GHC.Internal.Enum Methods succ :: Integer -> Integer # pred :: Integer -> Integer # toEnum :: Int -> Integer # fromEnum :: Integer -> Int # enumFrom :: Integer -> [Integer] # enumFromThen :: Integer -> Integer -> [Integer] # enumFromTo :: Integer -> Integer -> [Integer] # enumFromThenTo :: Integer -> Integer -> Integer -> [Integer] #
Num Integer | @since base-2.01
Instance details Defined in GHC.Internal.Num Methods (+) :: Integer -> Integer -> Integer # (-) :: Integer -> Integer -> Integer # (*) :: Integer -> Integer -> Integer # negate :: Integer -> Integer # abs :: Integer -> Integer # signum :: Integer -> Integer # fromInteger :: Integer -> Integer #
Read Integer | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Integer # readList :: ReadS [Integer] # readPrec :: ReadPrec Integer # readListPrec :: ReadPrec [Integer] #
Integral Integer | @since base-2.0.1
Instance details Defined in GHC.Internal.Real Methods quot :: Integer -> Integer -> Integer # rem :: Integer -> Integer -> Integer # div :: Integer -> Integer -> Integer # mod :: Integer -> Integer -> Integer # quotRem :: Integer -> Integer -> (Integer, Integer) # divMod :: Integer -> Integer -> (Integer, Integer) # toInteger :: Integer -> Integer #
Real Integer | @since base-2.0.1
Instance details Defined in GHC.Internal.Real Methods toRational :: Integer -> Rational #
Show Integer | @since base-2.01
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Integer -> ShowS # show :: Integer -> String # showList :: [Integer] -> ShowS #
Eq Integer |
Instance details Defined in GHC.Num.Integer Methods (==) :: Integer -> Integer -> Bool # (/=) :: Integer -> Integer -> Bool #
Ord Integer |
Instance details Defined in GHC.Num.Integer Methods compare :: Integer -> Integer -> Ordering # (<) :: Integer -> Integer -> Bool # (<=) :: Integer -> Integer -> Bool # (>) :: Integer -> Integer -> Bool # (>=) :: Integer -> Integer -> Bool # max :: Integer -> Integer -> Integer # min :: Integer -> Integer -> Integer #
Hashable Integer |
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Integer -> Int # hash :: Integer -> Int #

type Rational = Ratio Integer #

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

data Float #

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

#### Instances

Instances details

PrintfArg Float | Since: base-2.1
Instance details Defined in Text.Printf Methods formatArg :: Float -> FieldFormatter # parseFormat :: Float -> ModifierParser #
Floating Float | @since base-2.01
Instance details Defined in GHC.Internal.Float Methods pi :: Float # exp :: Float -> Float # log :: Float -> Float # sqrt :: Float -> Float # (**) :: Float -> Float -> Float # logBase :: Float -> Float -> Float # sin :: Float -> Float # cos :: Float -> Float # tan :: Float -> Float # asin :: Float -> Float # acos :: Float -> Float # atan :: Float -> Float # sinh :: Float -> Float # cosh :: Float -> Float # tanh :: Float -> Float # asinh :: Float -> Float # acosh :: Float -> Float # atanh :: Float -> Float # log1p :: Float -> Float # expm1 :: Float -> Float # log1pexp :: Float -> Float # log1mexp :: Float -> Float #
RealFloat Float | @since base-2.01
Instance details Defined in GHC.Internal.Float Methods floatRadix :: Float -> Integer # floatDigits :: Float -> Int # floatRange :: Float -> (Int, Int) # decodeFloat :: Float -> (Integer, Int) # encodeFloat :: Integer -> Int -> Float # exponent :: Float -> Int # significand :: Float -> Float # scaleFloat :: Int -> Float -> Float # isNaN :: Float -> Bool # isInfinite :: Float -> Bool # isDenormalized :: Float -> Bool # isNegativeZero :: Float -> Bool # isIEEE :: Float -> Bool # atan2 :: Float -> Float -> Float #
Storable Float | @since base-2.01
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Float -> Int # alignment :: Float -> Int # peekElemOff :: Ptr Float -> Int -> IO Float # pokeElemOff :: Ptr Float -> Int -> Float -> IO () # peekByteOff :: Ptr b -> Int -> IO Float # pokeByteOff :: Ptr b -> Int -> Float -> IO () # peek :: Ptr Float -> IO Float # poke :: Ptr Float -> Float -> IO () #
Read Float | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Float # readList :: ReadS [Float] # readPrec :: ReadPrec Float # readListPrec :: ReadPrec [Float] #
Eq Float | Note that due to the presence of `NaN`, `Float`'s `Eq` instance does not satisfy reflexivity.
    >>> 0/0 == (0/0 :: Float)
    False
Also note that `Float`'s `Eq` instance does not satisfy extensionality:
    >>> 0 == (-0 :: Float)
    True
    >>> recip 0 == recip (-0 :: Float)
    False
Instance details Defined in GHC.Classes Methods (==) :: Float -> Float -> Bool # (/=) :: Float -> Float -> Bool #
Ord Float | See `instance` `Ord` `Double` for discussion of deviations from IEEE 754 standard.
Instance details Defined in GHC.Classes Methods compare :: Float -> Float -> Ordering # (<) :: Float -> Float -> Bool # (<=) :: Float -> Float -> Bool # (>) :: Float -> Float -> Bool # (>=) :: Float -> Float -> Bool # max :: Float -> Float -> Float # min :: Float -> Float -> Float #
Hashable Float | Note: prior to `hashable-1.3.0.0`, `hash 0.0 /= hash (-0.0)` The `hash` of NaN is not well defined. Since: hashable-1.3.0.0
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Float -> Int # hash :: Float -> Int #
Unbox Float |
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Float |
Instance details 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 () elemseq :: Vector Float -> Float -> b -> b
MVector MVector Float |
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Float -> Int basicUnsafeSlice :: Int -> Int -> MVector s Float -> MVector s Float basicOverlaps :: MVector s Float -> MVector s Float -> Bool basicUnsafeNew :: 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) |
Instance details Defined in GHC.Internal.Generics Associated Types
type Rep1 (URec Float :: k -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (URec Float :: k -> Type) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UFloat" 'PrefixI 'True) (S1 ('MetaSel ('Just "uFloat#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UFloat :: k -> Type)))
Methods from1 :: forall (a :: k). URec Float a -> Rep1 (URec Float :: k -> Type) a # to1 :: forall (a :: k). Rep1 (URec Float :: k -> Type) a -> URec Float a #
Foldable (UFloat :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => UFloat m -> m # foldMap :: Monoid m => (a -> m) -> UFloat a -> m # foldMap' :: Monoid m => (a -> m) -> UFloat a -> m # foldr :: (a -> b -> b) -> b -> UFloat a -> b # foldr' :: (a -> b -> b) -> b -> UFloat a -> b # foldl :: (b -> a -> b) -> b -> UFloat a -> b # foldl' :: (b -> a -> b) -> b -> UFloat a -> b # foldr1 :: (a -> a -> a) -> UFloat a -> a # foldl1 :: (a -> a -> a) -> UFloat a -> a # toList :: UFloat a -> [a] # null :: UFloat a -> Bool # length :: UFloat a -> Int # elem :: Eq a => a -> UFloat a -> Bool # maximum :: Ord a => UFloat a -> a # minimum :: Ord a => UFloat a -> a # sum :: Num a => UFloat a -> a # product :: Num a => UFloat a -> a #
Traversable (UFloat :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> UFloat a -> f (UFloat b) # sequenceA :: Applicative f => UFloat (f a) -> f (UFloat a) # mapM :: Monad m => (a -> m b) -> UFloat a -> m (UFloat b) # sequence :: Monad m => UFloat (m a) -> m (UFloat a) #
Functor (URec Float :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> URec Float a -> URec Float b # (<$) :: a -> URec Float b -> URec Float a #
Generic (URec Float p) |
Instance details Defined in GHC.Internal.Generics Associated Types
type Rep (URec Float p) |
Instance details Defined in GHC.Internal.Generics type Rep (URec Float p) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UFloat" 'PrefixI 'True) (S1 ('MetaSel ('Just "uFloat#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UFloat :: Type -> Type)))
Methods from :: URec Float p -> Rep (URec Float p) x # to :: Rep (URec Float p) x -> URec Float p #
Show (URec Float p) |
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> URec Float p -> ShowS # show :: URec Float p -> String # showList :: [URec Float p] -> ShowS #
Eq (URec Float p) |
Instance details Defined in GHC.Internal.Generics Methods (==) :: URec Float p -> URec Float p -> Bool # (/=) :: URec Float p -> URec Float p -> Bool #
Ord (URec Float p) |
Instance details Defined in GHC.Internal.Generics Methods compare :: URec Float p -> URec Float p -> Ordering # (<) :: URec Float p -> URec Float p -> Bool # (<=) :: URec Float p -> URec Float p -> Bool # (>) :: URec Float p -> URec Float p -> Bool # (>=) :: URec Float p -> URec Float p -> Bool # max :: URec Float p -> URec Float p -> URec Float p # min :: URec Float p -> URec Float p -> URec Float p #
newtype Vector Float |
Instance details Defined in Data.Vector.Unboxed.Base newtype Vector Float = V_Float (Vector Float)
data URec Float (p :: k) | Used for marking occurrences of `Float#` @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics data URec Float (p :: k) = UFloat { uFloat# :: Float# }
newtype MVector s Float |
Instance details Defined in Data.Vector.Unboxed.Base newtype MVector s Float = MV_Float (MVector s Float)
type Rep1 (URec Float :: k -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (URec Float :: k -> Type) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UFloat" 'PrefixI 'True) (S1 ('MetaSel ('Just "uFloat#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UFloat :: k -> Type)))
type Rep (URec Float p) |
Instance details Defined in GHC.Internal.Generics type Rep (URec Float p) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UFloat" 'PrefixI 'True) (S1 ('MetaSel ('Just "uFloat#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UFloat :: Type -> Type)))

data Double #

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

#### Instances

Instances details

PrintfArg Double | Since: base-2.1
Instance details Defined in Text.Printf Methods formatArg :: Double -> FieldFormatter # parseFormat :: Double -> ModifierParser #
Floating Double | @since base-2.01
Instance details Defined in GHC.Internal.Float Methods pi :: Double # exp :: Double -> Double # log :: Double -> Double # sqrt :: Double -> Double # (**) :: Double -> Double -> Double # logBase :: Double -> Double -> Double # sin :: Double -> Double # cos :: Double -> Double # tan :: Double -> Double # asin :: Double -> Double # acos :: Double -> Double # atan :: Double -> Double # sinh :: Double -> Double # cosh :: Double -> Double # tanh :: Double -> Double # asinh :: Double -> Double # acosh :: Double -> Double # atanh :: Double -> Double # log1p :: Double -> Double # expm1 :: Double -> Double # log1pexp :: Double -> Double # log1mexp :: Double -> Double #
RealFloat Double | @since base-2.01
Instance details Defined in GHC.Internal.Float Methods floatRadix :: Double -> Integer # floatDigits :: Double -> Int # floatRange :: Double -> (Int, Int) # decodeFloat :: Double -> (Integer, Int) # encodeFloat :: Integer -> Int -> Double # exponent :: Double -> Int # significand :: Double -> Double # scaleFloat :: Int -> Double -> Double # isNaN :: Double -> Bool # isInfinite :: Double -> Bool # isDenormalized :: Double -> Bool # isNegativeZero :: Double -> Bool # isIEEE :: Double -> Bool # atan2 :: Double -> Double -> Double #
Storable Double | @since base-2.01
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Double -> Int # alignment :: Double -> Int # peekElemOff :: Ptr Double -> Int -> IO Double # pokeElemOff :: Ptr Double -> Int -> Double -> IO () # peekByteOff :: Ptr b -> Int -> IO Double # pokeByteOff :: Ptr b -> Int -> Double -> IO () # peek :: Ptr Double -> IO Double # poke :: Ptr Double -> Double -> IO () #
Read Double | @since base-2.01
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Double # readList :: ReadS [Double] # readPrec :: ReadPrec Double # readListPrec :: ReadPrec [Double] #
Eq Double | Note that due to the presence of `NaN`, `Double`'s `Eq` instance does not satisfy reflexivity.
    >>> 0/0 == (0/0 :: Double)
    False
Also note that `Double`'s `Eq` instance does not satisfy substitutivity:
    >>> 0 == (-0 :: Double)
    True
    >>> recip 0 == recip (-0 :: Double)
    False
Instance details Defined in GHC.Classes Methods (==) :: Double -> Double -> Bool # (/=) :: Double -> Double -> Bool #
Ord Double | IEEE 754 `Double`-precision type includes not only numbers, but also positive and negative infinities and a special element called `NaN` (which can be quiet or signal). IEEE 754-2008, section 5.11 requires that if at least one of arguments of `<=`, `<`, `>`, `>=` is `NaN` then the result of the comparison is `False`, and `instance` `Ord` `Double` complies with this requirement. This violates the reflexivity: both `NaN` `<=` `NaN` and `NaN` `>=` `NaN` are `False`. IEEE 754-2008, section 5.10 defines `totalOrder` predicate. Unfortunately, `compare` on `Double`s violates the IEEE standard and does not define a total order. More specifically, both `compare` `NaN` `x` and `compare` `x` `NaN` always return `GT`. Thus, users must be extremely cautious when using `instance` `Ord` `Double`. For instance, one should avoid ordered containers with keys represented by `Double`, because data loss and corruption may happen. An IEEE-compliant `compare` is available in `fp-ieee` package as `TotallyOrdered` newtype. Moving further, the behaviour of `min` and `max` with regards to `NaN` is also non-compliant. IEEE 754-2008, section 5.3.1 defines that quiet `NaN` should be treated as a missing data by `minNum` and `maxNum` functions, for example, `minNum(NaN, 1) = minNum(1, NaN) = 1`. Some languages such as Java deviate from the standard implementing `minNum(NaN, 1) = minNum(1, NaN) = NaN`. However, `min` / `max` in `base` are even worse: `min` `NaN` 1 is 1, but `min` 1 `NaN` is `NaN`. IEEE 754-2008 compliant `min` / `max` can be found in `ieee754` package under `minNum` / `maxNum` names. Implementations compliant with `minimumNumber` / `maximumNumber` from a newer IEEE 754-2019, section 9.6 are available from `fp-ieee` package.
Instance details Defined in GHC.Classes Methods compare :: Double -> Double -> Ordering # (<) :: Double -> Double -> Bool # (<=) :: Double -> Double -> Bool # (>) :: Double -> Double -> Bool # (>=) :: Double -> Double -> Bool # max :: Double -> Double -> Double # min :: Double -> Double -> Double #
Hashable Double | Note: prior to `hashable-1.3.0.0`, `hash 0.0 /= hash (-0.0)` The `hash` of NaN is not well defined. Since: hashable-1.3.0.0
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Double -> Int # hash :: Double -> Int #
Unbox Double |
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Double |
Instance details 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 () elemseq :: Vector Double -> Double -> b -> b
MVector MVector Double |
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Double -> Int basicUnsafeSlice :: Int -> Int -> MVector s Double -> MVector s Double basicOverlaps :: MVector s Double -> MVector s Double -> Bool basicUnsafeNew :: 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) |
Instance details Defined in GHC.Internal.Generics Associated Types
type Rep1 (URec Double :: k -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (URec Double :: k -> Type) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UDouble" 'PrefixI 'True) (S1 ('MetaSel ('Just "uDouble#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UDouble :: k -> Type)))
Methods from1 :: forall (a :: k). URec Double a -> Rep1 (URec Double :: k -> Type) a # to1 :: forall (a :: k). Rep1 (URec Double :: k -> Type) a -> URec Double a #
Foldable (UDouble :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => UDouble m -> m # foldMap :: Monoid m => (a -> m) -> UDouble a -> m # foldMap' :: Monoid m => (a -> m) -> UDouble a -> m # foldr :: (a -> b -> b) -> b -> UDouble a -> b # foldr' :: (a -> b -> b) -> b -> UDouble a -> b # foldl :: (b -> a -> b) -> b -> UDouble a -> b # foldl' :: (b -> a -> b) -> b -> UDouble a -> b # foldr1 :: (a -> a -> a) -> UDouble a -> a # foldl1 :: (a -> a -> a) -> UDouble a -> a # toList :: UDouble a -> [a] # null :: UDouble a -> Bool # length :: UDouble a -> Int # elem :: Eq a => a -> UDouble a -> Bool # maximum :: Ord a => UDouble a -> a # minimum :: Ord a => UDouble a -> a # sum :: Num a => UDouble a -> a # product :: Num a => UDouble a -> a #
Traversable (UDouble :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> UDouble a -> f (UDouble b) # sequenceA :: Applicative f => UDouble (f a) -> f (UDouble a) # mapM :: Monad m => (a -> m b) -> UDouble a -> m (UDouble b) # sequence :: Monad m => UDouble (m a) -> m (UDouble a) #
Functor (URec Double :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> URec Double a -> URec Double b # (<$) :: a -> URec Double b -> URec Double a #
Generic (URec Double p) |
Instance details Defined in GHC.Internal.Generics Associated Types
type Rep (URec Double p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep (URec Double p) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UDouble" 'PrefixI 'True) (S1 ('MetaSel ('Just "uDouble#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UDouble :: Type -> Type)))
Methods from :: URec Double p -> Rep (URec Double p) x # to :: Rep (URec Double p) x -> URec Double p #
Show (URec Double p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> URec Double p -> ShowS # show :: URec Double p -> String # showList :: [URec Double p] -> ShowS #
Eq (URec Double p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: URec Double p -> URec Double p -> Bool # (/=) :: URec Double p -> URec Double p -> Bool #
Ord (URec Double p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: URec Double p -> URec Double p -> Ordering # (<) :: URec Double p -> URec Double p -> Bool # (<=) :: URec Double p -> URec Double p -> Bool # (>) :: URec Double p -> URec Double p -> Bool # (>=) :: URec Double p -> URec Double p -> Bool # max :: URec Double p -> URec Double p -> URec Double p # min :: URec Double p -> URec Double p -> URec Double p #
newtype Vector Double |
Instance details Defined in Data.Vector.Unboxed.Base newtype Vector Double = V_Double (Vector Double)
data URec Double (p :: k) | Used for marking occurrences of `Double#` @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics data URec Double (p :: k) = UDouble { uDouble# :: Double# }
newtype MVector s Double |
Instance details Defined in Data.Vector.Unboxed.Base newtype MVector s Double = MV_Double (MVector s Double)
type Rep1 (URec Double :: k -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (URec Double :: k -> Type) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UDouble" 'PrefixI 'True) (S1 ('MetaSel ('Just "uDouble#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UDouble :: k -> Type)))
type Rep (URec Double p) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep (URec Double p) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UDouble" 'PrefixI 'True) (S1 ('MetaSel ('Just "uDouble#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UDouble :: Type -> Type)))

## Numeric functions

(^) :: (Num a, Integral b) => a -> b -> a infixr 8 #

raise a number to a non-negative integral power

(^^) :: (Fractional a, Integral b) => a -> b -> a infixr 8 #

raise a number to an integral power

subtract :: Num a => a -> a -> a #

the same as ``flip` (`-`)`.

Because `-` is treated specially in the Haskell grammar, `(-` e`)` is not a section, but an application of prefix negation. However, `(`subtract`` exp`)` is equivalent to the disallowed section.

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

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 #

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 #

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) `<>` z` (`Semigroup` law)
Concatenation
  ``mconcat` = `foldr` (`<>`) `mempty``

You can alternatively define `mconcat` instead of `mempty`, in which case the laws are:

Unit
  ``mconcat` (`pure` x) = x`
Multiplication
  ``mconcat` (`join` xss) = `mconcat` (`fmap` `mconcat` xss)`
Subclass
  ``mconcat` (`toList` xs) = `sconcat` xs`

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 `newtype`s and make those instances of `Monoid`, e.g. `Sum` and `Product`.

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

Minimal complete definition

mempty | mconcat

Methods

mempty :: a #

Identity of `mappend`

#### Examples

Expand

    >>> "Hello world" <> mempty
    "Hello world"

    >>> mempty <> [1, 2, 3]
    [1,2,3]

mappend :: a -> a -> a #

An associative operation

NOTE: This method is redundant and has the default implementation ``mappend` = (`<>`)` since base-4.11.0.0. Should it be implemented manually, since `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`.

mconcat :: [a] -> a #

Fold a list using the monoid.

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

    >>> mconcat ["Hello", " ", "Haskell", "!"]
    "Hello Haskell!"

#### Instances

Instances details

Monoid ByteArray | Since: base-4.17.0.0
Instance details Defined in Data.Array.Byte Methods mempty :: ByteArray # mappend :: ByteArray -> ByteArray -> ByteArray # mconcat :: [ByteArray] -> ByteArray #
Monoid Builder |
Instance details Defined in Data.ByteString.Builder.Internal Methods mempty :: Builder # mappend :: Builder -> Builder -> Builder # mconcat :: [Builder] -> Builder #
Monoid ByteString |
Instance details Defined in Data.ByteString.Internal.Type Methods mempty :: ByteString # mappend :: ByteString -> ByteString -> ByteString # mconcat :: [ByteString] -> ByteString #
Monoid ByteString |
Instance details Defined in Data.ByteString.Lazy.Internal Methods mempty :: ByteString # mappend :: ByteString -> ByteString -> ByteString # mconcat :: [ByteString] -> ByteString #
Monoid ShortByteString |
Instance details Defined in Data.ByteString.Short.Internal Methods mempty :: ShortByteString # mappend :: ShortByteString -> ShortByteString -> ShortByteString # mconcat :: [ShortByteString] -> ShortByteString #
Monoid IntSet |
Instance details Defined in Data.IntSet.Internal Methods mempty :: IntSet # mappend :: IntSet -> IntSet -> IntSet # mconcat :: [IntSet] -> IntSet #
Monoid Ordering | @since base-2.01
Instance details Defined in GHC.Internal.Base Methods mempty :: Ordering # mappend :: Ordering -> Ordering -> Ordering # mconcat :: [Ordering] -> Ordering #
Monoid OsString | "String-Concatenation" for `OsString`. This is not the same as `(</>)`.
Instance details Defined in System.OsString.Internal.Types Methods mempty :: OsString # mappend :: OsString -> OsString -> OsString # mconcat :: [OsString] -> OsString #
Monoid PosixString |
Instance details Defined in System.OsString.Internal.Types Methods mempty :: PosixString # mappend :: PosixString -> PosixString -> PosixString # mconcat :: [PosixString] -> PosixString #
Monoid WindowsString |
Instance details Defined in System.OsString.Internal.Types Methods mempty :: WindowsString # mappend :: WindowsString -> WindowsString -> WindowsString # mconcat :: [WindowsString] -> WindowsString #
Monoid Doc |
Instance details Defined in Text.PrettyPrint.HughesPJ Methods mempty :: Doc # mappend :: Doc -> Doc -> Doc # mconcat :: [Doc] -> Doc #
Monoid Builder |
Instance details Defined in Data.Text.Internal.Builder Methods mempty :: Builder # mappend :: Builder -> Builder -> Builder # mconcat :: [Builder] -> Builder #
Monoid StrictBuilder |
Instance details Defined in Data.Text.Internal.StrictBuilder Methods mempty :: StrictBuilder # mappend :: StrictBuilder -> StrictBuilder -> StrictBuilder # mconcat :: [StrictBuilder] -> StrictBuilder #
Monoid () | @since base-2.01
Instance details Defined in GHC.Internal.Base Methods mempty :: () # mappend :: () -> () -> () # mconcat :: [()] -> () #
Monoid (Comparison a) | ``mempty`` on comparisons always returns `EQ`. Without newtypes this equals ``pure` (`pure` EQ)`.
    mempty :: Comparison a
    mempty = Comparison _ _ -> EQ
Instance details Defined in Data.Functor.Contravariant Methods mempty :: Comparison a # mappend :: Comparison a -> Comparison a -> Comparison a # mconcat :: [Comparison a] -> Comparison a #
Monoid (Equivalence a) | ``mempty`` on equivalences always returns `True`. Without newtypes this equals ``pure` (`pure` True)`.
    mempty :: Equivalence a
    mempty = Equivalence _ _ -> True
Instance details Defined in Data.Functor.Contravariant Methods mempty :: Equivalence a # mappend :: Equivalence a -> Equivalence a -> Equivalence a # mconcat :: [Equivalence a] -> Equivalence a #
Monoid (Predicate a) | ``mempty`` on predicates always returns `True`. Without newtypes this equals ``pure` True`.
    mempty :: Predicate a
    mempty = _ -> True
Instance details Defined in Data.Functor.Contravariant Methods mempty :: Predicate a # mappend :: Predicate a -> Predicate a -> Predicate a # mconcat :: [Predicate a] -> Predicate a #
(Ord a, Bounded a) => Monoid (Max a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods mempty :: Max a # mappend :: Max a -> Max a -> Max a # mconcat :: [Max a] -> Max a #
(Ord a, Bounded a) => Monoid (Min a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods mempty :: Min a # mappend :: Min a -> Min a -> Min a # mconcat :: [Min a] -> Min a #
Monoid m => Monoid (WrappedMonoid m) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods mempty :: WrappedMonoid m # mappend :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m # mconcat :: [WrappedMonoid m] -> WrappedMonoid m #
Monoid (IntMap a) |
Instance details Defined in Data.IntMap.Internal Methods mempty :: IntMap a # mappend :: IntMap a -> IntMap a -> IntMap a # mconcat :: [IntMap a] -> IntMap a #
Monoid (Seq a) |
Instance details Defined in Data.Sequence.Internal Methods mempty :: Seq a # mappend :: Seq a -> Seq a -> Seq a # mconcat :: [Seq a] -> Seq a #
Monoid (MergeSet a) |
Instance details Defined in Data.Set.Internal Methods mempty :: MergeSet a # mappend :: MergeSet a -> MergeSet a -> MergeSet a # mconcat :: [MergeSet a] -> MergeSet a #
Ord a => Monoid (Set a) |
Instance details Defined in Data.Set.Internal Methods mempty :: Set a # mappend :: Set a -> Set a -> Set a # mconcat :: [Set a] -> Set a #
Monoid a => Monoid (Down a) | @since base-4.11.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods mempty :: Down a # mappend :: Down a -> Down a -> Down a # mconcat :: [Down a] -> Down a #
(Generic a, Monoid (Rep a ())) => Monoid (Generically a) | @since base-4.17.0.0
Instance details Defined in GHC.Internal.Generics Methods mempty :: Generically a # mappend :: Generically a -> Generically a -> Generically a # mconcat :: [Generically a] -> Generically a #
Monoid p => Monoid (Par1 p) | @since base-4.12.0.0
Instance details Defined in GHC.Internal.Generics Methods mempty :: Par1 p # mappend :: Par1 p -> Par1 p -> Par1 p # mconcat :: [Par1 p] -> Par1 p #
Monoid a => Monoid (IO a) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods mempty :: IO a # mappend :: IO a -> IO a -> IO a # mconcat :: [IO a] -> IO a #
Monoid (Doc a) |
Instance details Defined in Text.PrettyPrint.Annotated.HughesPJ Methods mempty :: Doc a # mappend :: Doc a -> Doc a -> Doc a # mconcat :: [Doc a] -> Doc a #
Monoid (Array a) |
Instance details Defined in Data.Primitive.Array Methods mempty :: Array a # mappend :: Array a -> Array a -> Array a # mconcat :: [Array a] -> Array a #
Monoid (PrimArray a) | Since: primitive-0.6.4.0
Instance details Defined in Data.Primitive.PrimArray Methods mempty :: PrimArray a # mappend :: PrimArray a -> PrimArray a -> PrimArray a # mconcat :: [PrimArray a] -> PrimArray a #
Monoid (SmallArray a) |
Instance details Defined in Data.Primitive.SmallArray Methods mempty :: SmallArray a # mappend :: SmallArray a -> SmallArray a -> SmallArray a # mconcat :: [SmallArray a] -> SmallArray a #
Monoid (Validity k) |
Instance details Defined in Data.HashMap.Internal.Debug Methods mempty :: Validity k # mappend :: Validity k -> Validity k -> Validity k # mconcat :: [Validity k] -> Validity k #
(Hashable a, Eq a) => Monoid (HashSet a) | `mempty` = `empty` `mappend` = `union` \(O(n+m)\) To obtain good performance, the smaller set must be presented as the first argument. #### Examples Expand
    >>> mappend (fromList [1,2]) (fromList [2,3])
    fromList [1,2,3]
Instance details Defined in Data.HashSet.Internal Methods mempty :: HashSet a # mappend :: HashSet a -> HashSet a -> HashSet a # mconcat :: [HashSet a] -> HashSet a #
Monoid (Vector a) |
Instance details Defined in Data.Vector Methods mempty :: Vector a # mappend :: Vector a -> Vector a -> Vector a # mconcat :: [Vector a] -> Vector a #
Prim a => Monoid (Vector a) |
Instance details Defined in Data.Vector.Primitive Methods mempty :: Vector a # mappend :: Vector a -> Vector a -> Vector a # mconcat :: [Vector a] -> Vector a #
Storable a => Monoid (Vector a) |
Instance details Defined in Data.Vector.Storable Methods mempty :: Vector a # mappend :: Vector a -> Vector a -> Vector a # mconcat :: [Vector a] -> Vector a #
Monoid (Vector a) |
Instance details Defined in Data.Vector.Strict Methods mempty :: Vector a # mappend :: Vector a -> Vector a -> Vector a # mconcat :: [Vector a] -> Vector a #
Semigroup a => Monoid (Maybe a) | Lift a semigroup into `Maybe` forming a `Monoid` according to http://en.wikipedia.org/wiki/Monoid: "Any semigroup `S` may be turned into a monoid simply by adjoining an element `e` not in `S` and defining `e*e = e` and `e*s = s = s*e` for all `s ∈ S`." Since 4.11.0: constraint on inner `a` value generalised from `Monoid` to `Semigroup`. @since base-2.01
Instance details Defined in GHC.Internal.Base Methods mempty :: Maybe a # mappend :: Maybe a -> Maybe a -> Maybe a # mconcat :: [Maybe a] -> Maybe a #
Monoid a => Monoid (Solo a) | @since base-4.15
Instance details Defined in GHC.Internal.Base Methods mempty :: Solo a # mappend :: Solo a -> Solo a -> Solo a # mconcat :: [Solo a] -> Solo a #
Monoid [a] | @since base-2.01
Instance details Defined in GHC.Internal.Base Methods mempty :: [a] # mappend :: [a] -> [a] -> [a] # mconcat :: [[a]] -> [a] #
Monoid a => Monoid (Op a b) | ``mempty` @(Op a b)` without newtypes is `mempty @(b->a)` = `_ -> mempty`.
    mempty :: Op a b
    mempty = Op _ -> mempty
Instance details Defined in Data.Functor.Contravariant Methods mempty :: Op a b # mappend :: Op a b -> Op a b -> Op a b # mconcat :: [Op a b] -> Op a b #
Ord k => Monoid (Map k v) |
Instance details Defined in Data.Map.Internal Methods mempty :: Map k v # mappend :: Map k v -> Map k v -> Map k v # mconcat :: [Map k v] -> Map k v #
Monoid (U1 p) | @since base-4.12.0.0
Instance details Defined in GHC.Internal.Generics Methods mempty :: U1 p # mappend :: U1 p -> U1 p -> U1 p # mconcat :: [U1 p] -> U1 p #
(Eq k, Hashable k) => Monoid (HashMap k v) | `mempty` = `empty` `mappend` = `union` If a key occurs in both maps, the mapping from the first will be the mapping in the result. #### Examples Expand
    >>> mappend (fromList [(1,'a'),(2,'b')]) (fromList [(2,'c'),(3,'d')])
    fromList [(1,'a'),(2,'b'),(3,'d')]
Instance details Defined in Data.HashMap.Internal Methods mempty :: HashMap k v # mappend :: HashMap k v -> HashMap k v -> HashMap k v # mconcat :: [HashMap k v] -> HashMap k v #
(Monoid a, Monoid b) => Monoid (a, b) | @since base-2.01
Instance details Defined in GHC.Internal.Base Methods mempty :: (a, b) # mappend :: (a, b) -> (a, b) -> (a, b) # mconcat :: [(a, b)] -> (a, b) #
Monoid b => Monoid (a -> b) | @since base-2.01
Instance details Defined in GHC.Internal.Base Methods mempty :: a -> b # mappend :: (a -> b) -> (a -> b) -> a -> b # mconcat :: [a -> b] -> a -> b #
Monoid (f p) => Monoid (Rec1 f p) | @since base-4.12.0.0
Instance details Defined in GHC.Internal.Generics Methods mempty :: Rec1 f p # mappend :: Rec1 f p -> Rec1 f p -> Rec1 f p # mconcat :: [Rec1 f p] -> Rec1 f p #
Monoid a => Monoid (Constant a b) |
Instance details Defined in Data.Functor.Constant Methods mempty :: Constant a b # mappend :: Constant a b -> Constant a b -> Constant a b # mconcat :: [Constant a b] -> Constant a b #
(Monoid a, Monoid b, Monoid c) => Monoid (a, b, c) | @since base-2.01
Instance details Defined in GHC.Internal.Base Methods mempty :: (a, b, c) # mappend :: (a, b, c) -> (a, b, c) -> (a, b, c) # mconcat :: [(a, b, c)] -> (a, b, c) #
(Monoid (f a), Monoid (g a)) => Monoid (Product f g a) | Since: base-4.16.0.0
Instance details Defined in Data.Functor.Product Methods mempty :: Product f g a # mappend :: Product f g a -> Product f g a -> Product f g a # mconcat :: [Product f g a] -> Product f g a #
(Monoid (f p), Monoid (g p)) => Monoid ((f :*: g) p) | @since base-4.12.0.0
Instance details Defined in GHC.Internal.Generics Methods mempty :: (f :*: g) p # mappend :: (f :*: g) p -> (f :*: g) p -> (f :*: g) p # mconcat :: [(f :*: g) p] -> (f :*: g) p #
Monoid c => Monoid (K1 i c p) | @since base-4.12.0.0
Instance details Defined in GHC.Internal.Generics Methods mempty :: K1 i c p # mappend :: K1 i c p -> K1 i c p -> K1 i c p # mconcat :: [K1 i c p] -> K1 i c p #
(Monoid a, Monoid b, Monoid c, Monoid d) => Monoid (a, b, c, d) | @since base-2.01
Instance details Defined in GHC.Internal.Base Methods mempty :: (a, b, c, d) # mappend :: (a, b, c, d) -> (a, b, c, d) -> (a, b, c, d) # mconcat :: [(a, b, c, d)] -> (a, b, c, d) #
Monoid (f (g a)) => Monoid (Compose f g a) | Since: base-4.16.0.0
Instance details Defined in Data.Functor.Compose Methods mempty :: Compose f g a # mappend :: Compose f g a -> Compose f g a -> Compose f g a # mconcat :: [Compose f g a] -> Compose f g a #
Monoid (f (g p)) => Monoid ((f :.: g) p) | @since base-4.12.0.0
Instance details Defined in GHC.Internal.Generics Methods mempty :: (f :.: g) p # mappend :: (f :.: g) p -> (f :.: g) p -> (f :.: g) p # mconcat :: [(f :.: g) p] -> (f :.: g) p #
Monoid (f p) => Monoid (M1 i c f p) | @since base-4.12.0.0
Instance details Defined in GHC.Internal.Generics Methods mempty :: M1 i c f p # mappend :: M1 i c f p -> M1 i c f p -> M1 i c f p # mconcat :: [M1 i c f p] -> M1 i c f p #
(Monoid a, Monoid b, Monoid c, Monoid d, Monoid e) => Monoid (a, b, c, d, e) | @since base-2.01
Instance details Defined in GHC.Internal.Base Methods mempty :: (a, b, c, d, e) # mappend :: (a, b, c, d, e) -> (a, b, c, d, e) -> (a, b, c, d, e) # mconcat :: [(a, b, c, d, e)] -> (a, b, c, d, e) #

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

An associative operation.

#### Examples

Expand

    >>> [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) #

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 Foldable

A more detailed description can be found in the Overview section of Data.Foldable.

For the class laws see the Laws section of Data.Foldable.

Minimal complete definition

foldMap | foldr

#### Instances

Instances details

Foldable Complex | Since: base-4.9.0.0
Instance details Defined in Data.Complex Methods fold :: Monoid m => Complex m -> m # foldMap :: Monoid m => (a -> m) -> Complex a -> m # foldMap' :: Monoid m => (a -> m) -> Complex a -> m # foldr :: (a -> b -> b) -> b -> Complex a -> b # foldr' :: (a -> b -> b) -> b -> Complex a -> b # foldl :: (b -> a -> b) -> b -> Complex a -> b # foldl' :: (b -> a -> b) -> b -> Complex a -> b # foldr1 :: (a -> a -> a) -> Complex a -> a # foldl1 :: (a -> a -> a) -> Complex a -> a # toList :: Complex a -> [a] # null :: Complex a -> Bool # length :: Complex a -> Int # elem :: Eq a => a -> Complex a -> Bool # maximum :: Ord a => Complex a -> a # minimum :: Ord a => Complex a -> a # sum :: Num a => Complex a -> a # product :: Num a => Complex a -> a #
Foldable First | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fold :: Monoid m => First m -> m # foldMap :: Monoid m => (a -> m) -> First a -> m # foldMap' :: Monoid m => (a -> m) -> First a -> m # foldr :: (a -> b -> b) -> b -> First a -> b # foldr' :: (a -> b -> b) -> b -> First a -> b # foldl :: (b -> a -> b) -> b -> First a -> b # foldl' :: (b -> a -> b) -> b -> First a -> b # foldr1 :: (a -> a -> a) -> First a -> a # foldl1 :: (a -> a -> a) -> First a -> a # toList :: First a -> [a] # null :: First a -> Bool # length :: First a -> Int # elem :: Eq a => a -> First a -> Bool # maximum :: Ord a => First a -> a # minimum :: Ord a => First a -> a # sum :: Num a => First a -> a # product :: Num a => First a -> a #
Foldable Last | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fold :: Monoid m => Last m -> m # foldMap :: Monoid m => (a -> m) -> Last a -> m # foldMap' :: Monoid m => (a -> m) -> Last a -> m # foldr :: (a -> b -> b) -> b -> Last a -> b # foldr' :: (a -> b -> b) -> b -> Last a -> b # foldl :: (b -> a -> b) -> b -> Last a -> b # foldl' :: (b -> a -> b) -> b -> Last a -> b # foldr1 :: (a -> a -> a) -> Last a -> a # foldl1 :: (a -> a -> a) -> Last a -> a # toList :: Last a -> [a] # null :: Last a -> Bool # length :: Last a -> Int # elem :: Eq a => a -> Last a -> Bool # maximum :: Ord a => Last a -> a # minimum :: Ord a => Last a -> a # sum :: Num a => Last a -> a # product :: Num a => Last a -> a #
Foldable Max | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fold :: Monoid m => Max m -> m # foldMap :: Monoid m => (a -> m) -> Max a -> m # foldMap' :: Monoid m => (a -> m) -> Max a -> m # foldr :: (a -> b -> b) -> b -> Max a -> b # foldr' :: (a -> b -> b) -> b -> Max a -> b # foldl :: (b -> a -> b) -> b -> Max a -> b # foldl' :: (b -> a -> b) -> b -> Max a -> b # foldr1 :: (a -> a -> a) -> Max a -> a # foldl1 :: (a -> a -> a) -> Max a -> a # toList :: Max a -> [a] # null :: Max a -> Bool # length :: Max a -> Int # elem :: Eq a => a -> Max a -> Bool # maximum :: Ord a => Max a -> a # minimum :: Ord a => Max a -> a # sum :: Num a => Max a -> a # product :: Num a => Max a -> a #
Foldable Min | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fold :: Monoid m => Min m -> m # foldMap :: Monoid m => (a -> m) -> Min a -> m # foldMap' :: Monoid m => (a -> m) -> Min a -> m # foldr :: (a -> b -> b) -> b -> Min a -> b # foldr' :: (a -> b -> b) -> b -> Min a -> b # foldl :: (b -> a -> b) -> b -> Min a -> b # foldl' :: (b -> a -> b) -> b -> Min a -> b # foldr1 :: (a -> a -> a) -> Min a -> a # foldl1 :: (a -> a -> a) -> Min a -> a # toList :: Min a -> [a] # null :: Min a -> Bool # length :: Min a -> Int # elem :: Eq a => a -> Min a -> Bool # maximum :: Ord a => Min a -> a # minimum :: Ord a => Min a -> a # sum :: Num a => Min a -> a # product :: Num a => Min a -> a #
Foldable SCC | Since: containers-0.5.9
Instance details Defined in Data.Graph Methods fold :: Monoid m => SCC m -> m # foldMap :: Monoid m => (a -> m) -> SCC a -> m # foldMap' :: Monoid m => (a -> m) -> SCC a -> m # foldr :: (a -> b -> b) -> b -> SCC a -> b # foldr' :: (a -> b -> b) -> b -> SCC a -> b # foldl :: (b -> a -> b) -> b -> SCC a -> b # foldl' :: (b -> a -> b) -> b -> SCC a -> b # foldr1 :: (a -> a -> a) -> SCC a -> a # foldl1 :: (a -> a -> a) -> SCC a -> a # toList :: SCC a -> [a] # null :: SCC a -> Bool # length :: SCC a -> Int # elem :: Eq a => a -> SCC a -> Bool # maximum :: Ord a => SCC a -> a # minimum :: Ord a => SCC a -> a # sum :: Num a => SCC a -> a # product :: Num a => SCC a -> a #
Foldable IntMap | Folds in order of increasing key.
Instance details Defined in Data.IntMap.Internal Methods fold :: Monoid m => IntMap m -> m # foldMap :: Monoid m => (a -> m) -> IntMap a -> m # foldMap' :: Monoid m => (a -> m) -> IntMap a -> m # foldr :: (a -> b -> b) -> b -> IntMap a -> b # foldr' :: (a -> b -> b) -> b -> IntMap a -> b # foldl :: (b -> a -> b) -> b -> IntMap a -> b # foldl' :: (b -> a -> b) -> b -> IntMap a -> b # foldr1 :: (a -> a -> a) -> IntMap a -> a # foldl1 :: (a -> a -> a) -> IntMap a -> a # toList :: IntMap a -> [a] # null :: IntMap a -> Bool # length :: IntMap a -> Int # elem :: Eq a => a -> IntMap a -> Bool # maximum :: Ord a => IntMap a -> a # minimum :: Ord a => IntMap a -> a # sum :: Num a => IntMap a -> a # product :: Num a => IntMap a -> a #
Foldable Digit |
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => Digit m -> m # foldMap :: Monoid m => (a -> m) -> Digit a -> m # foldMap' :: Monoid m => (a -> m) -> Digit a -> m # foldr :: (a -> b -> b) -> b -> Digit a -> b # foldr' :: (a -> b -> b) -> b -> Digit a -> b # foldl :: (b -> a -> b) -> b -> Digit a -> b # foldl' :: (b -> a -> b) -> b -> Digit a -> b # foldr1 :: (a -> a -> a) -> Digit a -> a # foldl1 :: (a -> a -> a) -> Digit a -> a # toList :: Digit a -> [a] # null :: Digit a -> Bool # length :: Digit a -> Int # elem :: Eq a => a -> Digit a -> Bool # maximum :: Ord a => Digit a -> a # minimum :: Ord a => Digit a -> a # sum :: Num a => Digit a -> a # product :: Num a => Digit a -> a #
Foldable Elem |
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => Elem m -> m # foldMap :: Monoid m => (a -> m) -> Elem a -> m # foldMap' :: Monoid m => (a -> m) -> Elem a -> m # foldr :: (a -> b -> b) -> b -> Elem a -> b # foldr' :: (a -> b -> b) -> b -> Elem a -> b # foldl :: (b -> a -> b) -> b -> Elem a -> b # foldl' :: (b -> a -> b) -> b -> Elem a -> b # foldr1 :: (a -> a -> a) -> Elem a -> a # foldl1 :: (a -> a -> a) -> Elem a -> a # toList :: Elem a -> [a] # null :: Elem a -> Bool # length :: Elem a -> Int # elem :: Eq a => a -> Elem a -> Bool # maximum :: Ord a => Elem a -> a # minimum :: Ord a => Elem a -> a # sum :: Num a => Elem a -> a # product :: Num a => Elem a -> a #
Foldable FingerTree |
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => FingerTree m -> m # foldMap :: Monoid m => (a -> m) -> FingerTree a -> m # foldMap' :: Monoid m => (a -> m) -> FingerTree a -> m # foldr :: (a -> b -> b) -> b -> FingerTree a -> b # foldr' :: (a -> b -> b) -> b -> FingerTree a -> b # foldl :: (b -> a -> b) -> b -> FingerTree a -> b # foldl' :: (b -> a -> b) -> b -> FingerTree a -> b # foldr1 :: (a -> a -> a) -> FingerTree a -> a # foldl1 :: (a -> a -> a) -> FingerTree a -> a # toList :: FingerTree a -> [a] # null :: FingerTree a -> Bool # length :: FingerTree a -> Int # elem :: Eq a => a -> FingerTree a -> Bool # maximum :: Ord a => FingerTree a -> a # minimum :: Ord a => FingerTree a -> a # sum :: Num a => FingerTree a -> a # product :: Num a => FingerTree a -> a #
Foldable Node |
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => Node m -> m # foldMap :: Monoid m => (a -> m) -> Node a -> m # foldMap' :: Monoid m => (a -> m) -> Node a -> m # foldr :: (a -> b -> b) -> b -> Node a -> b # foldr' :: (a -> b -> b) -> b -> Node a -> b # foldl :: (b -> a -> b) -> b -> Node a -> b # foldl' :: (b -> a -> b) -> b -> Node a -> b # foldr1 :: (a -> a -> a) -> Node a -> a # foldl1 :: (a -> a -> a) -> Node a -> a # toList :: Node a -> [a] # null :: Node a -> Bool # length :: Node a -> Int # elem :: Eq a => a -> Node a -> Bool # maximum :: Ord a => Node a -> a # minimum :: Ord a => Node a -> a # sum :: Num a => Node a -> a # product :: Num a => Node a -> a #
Foldable Seq |
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => Seq m -> m # foldMap :: Monoid m => (a -> m) -> Seq a -> m # foldMap' :: Monoid m => (a -> m) -> Seq a -> m # foldr :: (a -> b -> b) -> b -> Seq a -> b # foldr' :: (a -> b -> b) -> b -> Seq a -> b # foldl :: (b -> a -> b) -> b -> Seq a -> b # foldl' :: (b -> a -> b) -> b -> Seq a -> b # foldr1 :: (a -> a -> a) -> Seq a -> a # foldl1 :: (a -> a -> a) -> Seq a -> a # toList :: Seq a -> [a] # null :: Seq a -> Bool # length :: Seq a -> Int # elem :: Eq a => a -> Seq a -> Bool # maximum :: Ord a => Seq a -> a # minimum :: Ord a => Seq a -> a # sum :: Num a => Seq a -> a # product :: Num a => Seq a -> a #
Foldable ViewL |
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => ViewL m -> m # foldMap :: Monoid m => (a -> m) -> ViewL a -> m # foldMap' :: Monoid m => (a -> m) -> ViewL a -> m # foldr :: (a -> b -> b) -> b -> ViewL a -> b # foldr' :: (a -> b -> b) -> b -> ViewL a -> b # foldl :: (b -> a -> b) -> b -> ViewL a -> b # foldl' :: (b -> a -> b) -> b -> ViewL a -> b # foldr1 :: (a -> a -> a) -> ViewL a -> a # foldl1 :: (a -> a -> a) -> ViewL a -> a # toList :: ViewL a -> [a] # null :: ViewL a -> Bool # length :: ViewL a -> Int # elem :: Eq a => a -> ViewL a -> Bool # maximum :: Ord a => ViewL a -> a # minimum :: Ord a => ViewL a -> a # sum :: Num a => ViewL a -> a # product :: Num a => ViewL a -> a #
Foldable ViewR |
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => ViewR m -> m # foldMap :: Monoid m => (a -> m) -> ViewR a -> m # foldMap' :: Monoid m => (a -> m) -> ViewR a -> m # foldr :: (a -> b -> b) -> b -> ViewR a -> b # foldr' :: (a -> b -> b) -> b -> ViewR a -> b # foldl :: (b -> a -> b) -> b -> ViewR a -> b # foldl' :: (b -> a -> b) -> b -> ViewR a -> b # foldr1 :: (a -> a -> a) -> ViewR a -> a # foldl1 :: (a -> a -> a) -> ViewR a -> a # toList :: ViewR a -> [a] # null :: ViewR a -> Bool # length :: ViewR a -> Int # elem :: Eq a => a -> ViewR a -> Bool # maximum :: Ord a => ViewR a -> a # minimum :: Ord a => ViewR a -> a # sum :: Num a => ViewR a -> a # product :: Num a => ViewR a -> a #
Foldable Set | Folds in order of increasing key.
Instance details Defined in Data.Set.Internal Methods fold :: Monoid m => Set m -> m # foldMap :: Monoid m => (a -> m) -> Set a -> m # foldMap' :: Monoid m => (a -> m) -> Set a -> m # foldr :: (a -> b -> b) -> b -> Set a -> b # foldr' :: (a -> b -> b) -> b -> Set a -> b # foldl :: (b -> a -> b) -> b -> Set a -> b # foldl' :: (b -> a -> b) -> b -> Set a -> b # foldr1 :: (a -> a -> a) -> Set a -> a # foldl1 :: (a -> a -> a) -> Set a -> a # toList :: Set a -> [a] # null :: Set a -> Bool # length :: Set a -> Int # elem :: Eq a => a -> Set a -> Bool # maximum :: Ord a => Set a -> a # minimum :: Ord a => Set a -> a # sum :: Num a => Set a -> a # product :: Num a => Set a -> a #
Foldable Tree | Folds in preorder
Instance details Defined in Data.Tree Methods fold :: Monoid m => Tree m -> m # foldMap :: Monoid m => (a -> m) -> Tree a -> m # foldMap' :: Monoid m => (a -> m) -> Tree a -> m # foldr :: (a -> b -> b) -> b -> Tree a -> b # foldr' :: (a -> b -> b) -> b -> Tree a -> b # foldl :: (b -> a -> b) -> b -> Tree a -> b # foldl' :: (b -> a -> b) -> b -> Tree a -> b # foldr1 :: (a -> a -> a) -> Tree a -> a # foldl1 :: (a -> a -> a) -> Tree a -> a # toList :: Tree a -> [a] # null :: Tree a -> Bool # length :: Tree a -> Int # elem :: Eq a => a -> Tree a -> Bool # maximum :: Ord a => Tree a -> a # minimum :: Ord a => Tree a -> a # sum :: Num a => Tree a -> a # product :: Num a => Tree a -> a #
Foldable NonEmpty | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => NonEmpty m -> m # foldMap :: Monoid m => (a -> m) -> NonEmpty a -> m # foldMap' :: Monoid m => (a -> m) -> NonEmpty a -> m # foldr :: (a -> b -> b) -> b -> NonEmpty a -> b # foldr' :: (a -> b -> b) -> b -> NonEmpty a -> b # foldl :: (b -> a -> b) -> b -> NonEmpty a -> b # foldl' :: (b -> a -> b) -> b -> NonEmpty a -> b # foldr1 :: (a -> a -> a) -> NonEmpty a -> a # foldl1 :: (a -> a -> a) -> NonEmpty a -> a # toList :: NonEmpty a -> [a] # null :: NonEmpty a -> Bool # length :: NonEmpty a -> Int # elem :: Eq a => a -> NonEmpty a -> Bool # maximum :: Ord a => NonEmpty a -> a # minimum :: Ord a => NonEmpty a -> a # sum :: Num a => NonEmpty a -> a # product :: Num a => NonEmpty a -> a #
Foldable First | @since base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => First m -> m # foldMap :: Monoid m => (a -> m) -> First a -> m # foldMap' :: Monoid m => (a -> m) -> First a -> m # foldr :: (a -> b -> b) -> b -> First a -> b # foldr' :: (a -> b -> b) -> b -> First a -> b # foldl :: (b -> a -> b) -> b -> First a -> b # foldl' :: (b -> a -> b) -> b -> First a -> b # foldr1 :: (a -> a -> a) -> First a -> a # foldl1 :: (a -> a -> a) -> First a -> a # toList :: First a -> [a] # null :: First a -> Bool # length :: First a -> Int # elem :: Eq a => a -> First a -> Bool # maximum :: Ord a => First a -> a # minimum :: Ord a => First a -> a # sum :: Num a => First a -> a # product :: Num a => First a -> a #
Foldable Last | @since base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => Last m -> m # foldMap :: Monoid m => (a -> m) -> Last a -> m # foldMap' :: Monoid m => (a -> m) -> Last a -> m # foldr :: (a -> b -> b) -> b -> Last a -> b # foldr' :: (a -> b -> b) -> b -> Last a -> b # foldl :: (b -> a -> b) -> b -> Last a -> b # foldl' :: (b -> a -> b) -> b -> Last a -> b # foldr1 :: (a -> a -> a) -> Last a -> a # foldl1 :: (a -> a -> a) -> Last a -> a # toList :: Last a -> [a] # null :: Last a -> Bool # length :: Last a -> Int # elem :: Eq a => a -> Last a -> Bool # maximum :: Ord a => Last a -> a # minimum :: Ord a => Last a -> a # sum :: Num a => Last a -> a # product :: Num a => Last a -> a #
Foldable Down | @since base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => Down m -> m # foldMap :: Monoid m => (a -> m) -> Down a -> m # foldMap' :: Monoid m => (a -> m) -> Down a -> m # foldr :: (a -> b -> b) -> b -> Down a -> b # foldr' :: (a -> b -> b) -> b -> Down a -> b # foldl :: (b -> a -> b) -> b -> Down a -> b # foldl' :: (b -> a -> b) -> b -> Down a -> b # foldr1 :: (a -> a -> a) -> Down a -> a # foldl1 :: (a -> a -> a) -> Down a -> a # toList :: Down a -> [a] # null :: Down a -> Bool # length :: Down a -> Int # elem :: Eq a => a -> Down a -> Bool # maximum :: Ord a => Down a -> a # minimum :: Ord a => Down a -> a # sum :: Num a => Down a -> a # product :: Num a => Down a -> a #
Foldable Dual | @since base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => Dual m -> m # foldMap :: Monoid m => (a -> m) -> Dual a -> m # foldMap' :: Monoid m => (a -> m) -> Dual a -> m # foldr :: (a -> b -> b) -> b -> Dual a -> b # foldr' :: (a -> b -> b) -> b -> Dual a -> b # foldl :: (b -> a -> b) -> b -> Dual a -> b # foldl' :: (b -> a -> b) -> b -> Dual a -> b # foldr1 :: (a -> a -> a) -> Dual a -> a # foldl1 :: (a -> a -> a) -> Dual a -> a # toList :: Dual a -> [a] # null :: Dual a -> Bool # length :: Dual a -> Int # elem :: Eq a => a -> Dual a -> Bool # maximum :: Ord a => Dual a -> a # minimum :: Ord a => Dual a -> a # sum :: Num a => Dual a -> a # product :: Num a => Dual a -> a #
Foldable Product | @since base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => Product m -> m # foldMap :: Monoid m => (a -> m) -> Product a -> m # foldMap' :: Monoid m => (a -> m) -> Product a -> m # foldr :: (a -> b -> b) -> b -> Product a -> b # foldr' :: (a -> b -> b) -> b -> Product a -> b # foldl :: (b -> a -> b) -> b -> Product a -> b # foldl' :: (b -> a -> b) -> b -> Product a -> b # foldr1 :: (a -> a -> a) -> Product a -> a # foldl1 :: (a -> a -> a) -> Product a -> a # toList :: Product a -> [a] # null :: Product a -> Bool # length :: Product a -> Int # elem :: Eq a => a -> Product a -> Bool # maximum :: Ord a => Product a -> a # minimum :: Ord a => Product a -> a # sum :: Num a => Product a -> a # product :: Num a => Product a -> a #
Foldable Sum | @since base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => Sum m -> m # foldMap :: Monoid m => (a -> m) -> Sum a -> m # foldMap' :: Monoid m => (a -> m) -> Sum a -> m # foldr :: (a -> b -> b) -> b -> Sum a -> b # foldr' :: (a -> b -> b) -> b -> Sum a -> b # foldl :: (b -> a -> b) -> b -> Sum a -> b # foldl' :: (b -> a -> b) -> b -> Sum a -> b # foldr1 :: (a -> a -> a) -> Sum a -> a # foldl1 :: (a -> a -> a) -> Sum a -> a # toList :: Sum a -> [a] # null :: Sum a -> Bool # length :: Sum a -> Int # elem :: Eq a => a -> Sum a -> Bool # maximum :: Ord a => Sum a -> a # minimum :: Ord a => Sum a -> a # sum :: Num a => Sum a -> a # product :: Num a => Sum a -> a #
Foldable Par1 | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => Par1 m -> m # foldMap :: Monoid m => (a -> m) -> Par1 a -> m # foldMap' :: Monoid m => (a -> m) -> Par1 a -> m # foldr :: (a -> b -> b) -> b -> Par1 a -> b # foldr' :: (a -> b -> b) -> b -> Par1 a -> b # foldl :: (b -> a -> b) -> b -> Par1 a -> b # foldl' :: (b -> a -> b) -> b -> Par1 a -> b # foldr1 :: (a -> a -> a) -> Par1 a -> a # foldl1 :: (a -> a -> a) -> Par1 a -> a # toList :: Par1 a -> [a] # null :: Par1 a -> Bool # length :: Par1 a -> Int # elem :: Eq a => a -> Par1 a -> Bool # maximum :: Ord a => Par1 a -> a # minimum :: Ord a => Par1 a -> a # sum :: Num a => Par1 a -> a # product :: Num a => Par1 a -> a #
Foldable Hashed |
Instance details Defined in Data.Hashable.Class Methods fold :: Monoid m => Hashed m -> m # foldMap :: Monoid m => (a -> m) -> Hashed a -> m # foldMap' :: Monoid m => (a -> m) -> Hashed a -> m # foldr :: (a -> b -> b) -> b -> Hashed a -> b # foldr' :: (a -> b -> b) -> b -> Hashed a -> b # foldl :: (b -> a -> b) -> b -> Hashed a -> b # foldl' :: (b -> a -> b) -> b -> Hashed a -> b # foldr1 :: (a -> a -> a) -> Hashed a -> a # foldl1 :: (a -> a -> a) -> Hashed a -> a # toList :: Hashed a -> [a] # null :: Hashed a -> Bool # length :: Hashed a -> Int # elem :: Eq a => a -> Hashed a -> Bool # maximum :: Ord a => Hashed a -> a # minimum :: Ord a => Hashed a -> a # sum :: Num a => Hashed a -> a # product :: Num a => Hashed a -> a #
Foldable Array |
Instance details Defined in Data.Primitive.Array Methods fold :: Monoid m => Array m -> m # foldMap :: Monoid m => (a -> m) -> Array a -> m # foldMap' :: Monoid m => (a -> m) -> Array a -> m # foldr :: (a -> b -> b) -> b -> Array a -> b # foldr' :: (a -> b -> b) -> b -> Array a -> b # foldl :: (b -> a -> b) -> b -> Array a -> b # foldl' :: (b -> a -> b) -> b -> Array a -> b # foldr1 :: (a -> a -> a) -> Array a -> a # foldl1 :: (a -> a -> a) -> Array a -> a # toList :: Array a -> [a] # null :: Array a -> Bool # length :: Array a -> Int # elem :: Eq a => a -> Array a -> Bool # maximum :: Ord a => Array a -> a # minimum :: Ord a => Array a -> a # sum :: Num a => Array a -> a # product :: Num a => Array a -> a #
Foldable SmallArray |
Instance details Defined in Data.Primitive.SmallArray Methods fold :: Monoid m => SmallArray m -> m # foldMap :: Monoid m => (a -> m) -> SmallArray a -> m # foldMap' :: Monoid m => (a -> m) -> SmallArray a -> m # foldr :: (a -> b -> b) -> b -> SmallArray a -> b # foldr' :: (a -> b -> b) -> b -> SmallArray a -> b # foldl :: (b -> a -> b) -> b -> SmallArray a -> b # foldl' :: (b -> a -> b) -> b -> SmallArray a -> b # foldr1 :: (a -> a -> a) -> SmallArray a -> a # foldl1 :: (a -> a -> a) -> SmallArray a -> a # toList :: SmallArray a -> [a] # null :: SmallArray a -> Bool # length :: SmallArray a -> Int # elem :: Eq a => a -> SmallArray a -> Bool # maximum :: Ord a => SmallArray a -> a # minimum :: Ord a => SmallArray a -> a # sum :: Num a => SmallArray a -> a # product :: Num a => SmallArray a -> a #
Foldable HashSet |
Instance details Defined in Data.HashSet.Internal Methods fold :: Monoid m => HashSet m -> m # foldMap :: Monoid m => (a -> m) -> HashSet a -> m # foldMap' :: Monoid m => (a -> m) -> HashSet a -> m # foldr :: (a -> b -> b) -> b -> HashSet a -> b # foldr' :: (a -> b -> b) -> b -> HashSet a -> b # foldl :: (b -> a -> b) -> b -> HashSet a -> b # foldl' :: (b -> a -> b) -> b -> HashSet a -> b # foldr1 :: (a -> a -> a) -> HashSet a -> a # foldl1 :: (a -> a -> a) -> HashSet a -> a # toList :: HashSet a -> [a] # null :: HashSet a -> Bool # length :: HashSet a -> Int # elem :: Eq a => a -> HashSet a -> Bool # maximum :: Ord a => HashSet a -> a # minimum :: Ord a => HashSet a -> a # sum :: Num a => HashSet a -> a # product :: Num a => HashSet a -> a #
Foldable Vector |
Instance details Defined in Data.Vector Methods fold :: Monoid m => Vector m -> m # foldMap :: Monoid m => (a -> m) -> Vector a -> m # foldMap' :: Monoid m => (a -> m) -> Vector a -> m # foldr :: (a -> b -> b) -> b -> Vector a -> b # foldr' :: (a -> b -> b) -> b -> Vector a -> b # foldl :: (b -> a -> b) -> b -> Vector a -> b # foldl' :: (b -> a -> b) -> b -> Vector a -> b # foldr1 :: (a -> a -> a) -> Vector a -> a # foldl1 :: (a -> a -> a) -> Vector a -> a # toList :: Vector a -> [a] # null :: Vector a -> Bool # length :: Vector a -> Int # elem :: Eq a => a -> Vector a -> Bool # maximum :: Ord a => Vector a -> a # minimum :: Ord a => Vector a -> a # sum :: Num a => Vector a -> a # product :: Num a => Vector a -> a #
Foldable Vector |
Instance details Defined in Data.Vector.Strict Methods fold :: Monoid m => Vector m -> m # foldMap :: Monoid m => (a -> m) -> Vector a -> m # foldMap' :: Monoid m => (a -> m) -> Vector a -> m # foldr :: (a -> b -> b) -> b -> Vector a -> b # foldr' :: (a -> b -> b) -> b -> Vector a -> b # foldl :: (b -> a -> b) -> b -> Vector a -> b # foldl' :: (b -> a -> b) -> b -> Vector a -> b # foldr1 :: (a -> a -> a) -> Vector a -> a # foldl1 :: (a -> a -> a) -> Vector a -> a # toList :: Vector a -> [a] # null :: Vector a -> Bool # length :: Vector a -> Int # elem :: Eq a => a -> Vector a -> Bool # maximum :: Ord a => Vector a -> a # minimum :: Ord a => Vector a -> a # sum :: Num a => Vector a -> a # product :: Num a => Vector a -> a #
Foldable Maybe | @since base-2.01
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => Maybe m -> m # foldMap :: Monoid m => (a -> m) -> Maybe a -> m # foldMap' :: Monoid m => (a -> m) -> Maybe a -> m # foldr :: (a -> b -> b) -> b -> Maybe a -> b # foldr' :: (a -> b -> b) -> b -> Maybe a -> b # foldl :: (b -> a -> b) -> b -> Maybe a -> b # foldl' :: (b -> a -> b) -> b -> Maybe a -> b # foldr1 :: (a -> a -> a) -> Maybe a -> a # foldl1 :: (a -> a -> a) -> Maybe a -> a # toList :: Maybe a -> [a] # null :: Maybe a -> Bool # length :: Maybe a -> Int # elem :: Eq a => a -> Maybe a -> Bool # maximum :: Ord a => Maybe a -> a # minimum :: Ord a => Maybe a -> a # sum :: Num a => Maybe a -> a # product :: Num a => Maybe a -> a #
Foldable Solo | @since base-4.15
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => Solo m -> m # foldMap :: Monoid m => (a -> m) -> Solo a -> m # foldMap' :: Monoid m => (a -> m) -> Solo a -> m # foldr :: (a -> b -> b) -> b -> Solo a -> b # foldr' :: (a -> b -> b) -> b -> Solo a -> b # foldl :: (b -> a -> b) -> b -> Solo a -> b # foldl' :: (b -> a -> b) -> b -> Solo a -> b # foldr1 :: (a -> a -> a) -> Solo a -> a # foldl1 :: (a -> a -> a) -> Solo a -> a # toList :: Solo a -> [a] # null :: Solo a -> Bool # length :: Solo a -> Int # elem :: Eq a => a -> Solo a -> Bool # maximum :: Ord a => Solo a -> a # minimum :: Ord a => Solo a -> a # sum :: Num a => Solo a -> a # product :: Num a => Solo a -> a #
Foldable [] | @since base-2.01
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => [m] -> m # foldMap :: Monoid m => (a -> m) -> [a] -> m # foldMap' :: Monoid m => (a -> m) -> [a] -> m # foldr :: (a -> b -> b) -> b -> [a] -> b # foldr' :: (a -> b -> b) -> b -> [a] -> b # foldl :: (b -> a -> b) -> b -> [a] -> b # foldl' :: (b -> a -> b) -> b -> [a] -> b # foldr1 :: (a -> a -> a) -> [a] -> a # foldl1 :: (a -> a -> a) -> [a] -> a # toList :: [a] -> [a] # null :: [a] -> Bool # length :: [a] -> Int # elem :: Eq a => a -> [a] -> Bool # maximum :: Ord a => [a] -> a # minimum :: Ord a => [a] -> a # sum :: Num a => [a] -> a # product :: Num a => [a] -> a #
Foldable (Arg a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fold :: Monoid m => Arg a m -> m # foldMap :: Monoid m => (a0 -> m) -> Arg a a0 -> m # foldMap' :: Monoid m => (a0 -> m) -> Arg a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Arg a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Arg a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Arg a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Arg a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Arg a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Arg a a0 -> a0 # toList :: Arg a a0 -> [a0] # null :: Arg a a0 -> Bool # length :: Arg a a0 -> Int # elem :: Eq a0 => a0 -> Arg a a0 -> Bool # maximum :: Ord a0 => Arg a a0 -> a0 # minimum :: Ord a0 => Arg a a0 -> a0 # sum :: Num a0 => Arg a a0 -> a0 # product :: Num a0 => Arg a a0 -> a0 #
Foldable (Map k) | Folds in order of increasing key.
Instance details Defined in Data.Map.Internal Methods fold :: Monoid m => Map k m -> m # foldMap :: Monoid m => (a -> m) -> Map k a -> m # foldMap' :: Monoid m => (a -> m) -> Map k a -> m # foldr :: (a -> b -> b) -> b -> Map k a -> b # foldr' :: (a -> b -> b) -> b -> Map k a -> b # foldl :: (b -> a -> b) -> b -> Map k a -> b # foldl' :: (b -> a -> b) -> b -> Map k a -> b # foldr1 :: (a -> a -> a) -> Map k a -> a # foldl1 :: (a -> a -> a) -> Map k a -> a # toList :: Map k a -> [a] # null :: Map k a -> Bool # length :: Map k a -> Int # elem :: Eq a => a -> Map k a -> Bool # maximum :: Ord a => Map k a -> a # minimum :: Ord a => Map k a -> a # sum :: Num a => Map k a -> a # product :: Num a => Map k a -> a #
Foldable (Array i) | @since base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => Array i m -> m # foldMap :: Monoid m => (a -> m) -> Array i a -> m # foldMap' :: Monoid m => (a -> m) -> Array i a -> m # foldr :: (a -> b -> b) -> b -> Array i a -> b # foldr' :: (a -> b -> b) -> b -> Array i a -> b # foldl :: (b -> a -> b) -> b -> Array i a -> b # foldl' :: (b -> a -> b) -> b -> Array i a -> b # foldr1 :: (a -> a -> a) -> Array i a -> a # foldl1 :: (a -> a -> a) -> Array i a -> a # toList :: Array i a -> [a] # null :: Array i a -> Bool # length :: Array i a -> Int # elem :: Eq a => a -> Array i a -> Bool # maximum :: Ord a => Array i a -> a # minimum :: Ord a => Array i a -> a # sum :: Num a => Array i a -> a # product :: Num a => Array i a -> a #
Foldable (Either a) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => Either a m -> m # foldMap :: Monoid m => (a0 -> m) -> Either a a0 -> m # foldMap' :: Monoid m => (a0 -> m) -> Either a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Either a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Either a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Either a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Either a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 # toList :: Either a a0 -> [a0] # null :: Either a a0 -> Bool # length :: Either a a0 -> Int # elem :: Eq a0 => a0 -> Either a a0 -> Bool # maximum :: Ord a0 => Either a a0 -> a0 # minimum :: Ord a0 => Either a a0 -> a0 # sum :: Num a0 => Either a a0 -> a0 # product :: Num a0 => Either a a0 -> a0 #
Foldable (Proxy :: Type -> Type) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => Proxy m -> m # foldMap :: Monoid m => (a -> m) -> Proxy a -> m # foldMap' :: Monoid m => (a -> m) -> Proxy a -> m # foldr :: (a -> b -> b) -> b -> Proxy a -> b # foldr' :: (a -> b -> b) -> b -> Proxy a -> b # foldl :: (b -> a -> b) -> b -> Proxy a -> b # foldl' :: (b -> a -> b) -> b -> Proxy a -> b # foldr1 :: (a -> a -> a) -> Proxy a -> a # foldl1 :: (a -> a -> a) -> Proxy a -> a # toList :: Proxy a -> [a] # null :: Proxy a -> Bool # length :: Proxy a -> Int # elem :: Eq a => a -> Proxy a -> Bool # maximum :: Ord a => Proxy a -> a # minimum :: Ord a => Proxy a -> a # sum :: Num a => Proxy a -> a # product :: Num a => Proxy a -> a #
Foldable (U1 :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => U1 m -> m # foldMap :: Monoid m => (a -> m) -> U1 a -> m # foldMap' :: Monoid m => (a -> m) -> U1 a -> m # foldr :: (a -> b -> b) -> b -> U1 a -> b # foldr' :: (a -> b -> b) -> b -> U1 a -> b # foldl :: (b -> a -> b) -> b -> U1 a -> b # foldl' :: (b -> a -> b) -> b -> U1 a -> b # foldr1 :: (a -> a -> a) -> U1 a -> a # foldl1 :: (a -> a -> a) -> U1 a -> a # toList :: U1 a -> [a] # null :: U1 a -> Bool # length :: U1 a -> Int # elem :: Eq a => a -> U1 a -> Bool # maximum :: Ord a => U1 a -> a # minimum :: Ord a => U1 a -> a # sum :: Num a => U1 a -> a # product :: Num a => U1 a -> a #
Foldable (UAddr :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => UAddr m -> m # foldMap :: Monoid m => (a -> m) -> UAddr a -> m # foldMap' :: Monoid m => (a -> m) -> UAddr a -> m # foldr :: (a -> b -> b) -> b -> UAddr a -> b # foldr' :: (a -> b -> b) -> b -> UAddr a -> b # foldl :: (b -> a -> b) -> b -> UAddr a -> b # foldl' :: (b -> a -> b) -> b -> UAddr a -> b # foldr1 :: (a -> a -> a) -> UAddr a -> a # foldl1 :: (a -> a -> a) -> UAddr a -> a # toList :: UAddr a -> [a] # null :: UAddr a -> Bool # length :: UAddr a -> Int # elem :: Eq a => a -> UAddr a -> Bool # maximum :: Ord a => UAddr a -> a # minimum :: Ord a => UAddr a -> a # sum :: Num a => UAddr a -> a # product :: Num a => UAddr a -> a #
Foldable (UChar :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => UChar m -> m # foldMap :: Monoid m => (a -> m) -> UChar a -> m # foldMap' :: Monoid m => (a -> m) -> UChar a -> m # foldr :: (a -> b -> b) -> b -> UChar a -> b # foldr' :: (a -> b -> b) -> b -> UChar a -> b # foldl :: (b -> a -> b) -> b -> UChar a -> b # foldl' :: (b -> a -> b) -> b -> UChar a -> b # foldr1 :: (a -> a -> a) -> UChar a -> a # foldl1 :: (a -> a -> a) -> UChar a -> a # toList :: UChar a -> [a] # null :: UChar a -> Bool # length :: UChar a -> Int # elem :: Eq a => a -> UChar a -> Bool # maximum :: Ord a => UChar a -> a # minimum :: Ord a => UChar a -> a # sum :: Num a => UChar a -> a # product :: Num a => UChar a -> a #
Foldable (UDouble :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => UDouble m -> m # foldMap :: Monoid m => (a -> m) -> UDouble a -> m # foldMap' :: Monoid m => (a -> m) -> UDouble a -> m # foldr :: (a -> b -> b) -> b -> UDouble a -> b # foldr' :: (a -> b -> b) -> b -> UDouble a -> b # foldl :: (b -> a -> b) -> b -> UDouble a -> b # foldl' :: (b -> a -> b) -> b -> UDouble a -> b # foldr1 :: (a -> a -> a) -> UDouble a -> a # foldl1 :: (a -> a -> a) -> UDouble a -> a # toList :: UDouble a -> [a] # null :: UDouble a -> Bool # length :: UDouble a -> Int # elem :: Eq a => a -> UDouble a -> Bool # maximum :: Ord a => UDouble a -> a # minimum :: Ord a => UDouble a -> a # sum :: Num a => UDouble a -> a # product :: Num a => UDouble a -> a #
Foldable (UFloat :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => UFloat m -> m # foldMap :: Monoid m => (a -> m) -> UFloat a -> m # foldMap' :: Monoid m => (a -> m) -> UFloat a -> m # foldr :: (a -> b -> b) -> b -> UFloat a -> b # foldr' :: (a -> b -> b) -> b -> UFloat a -> b # foldl :: (b -> a -> b) -> b -> UFloat a -> b # foldl' :: (b -> a -> b) -> b -> UFloat a -> b # foldr1 :: (a -> a -> a) -> UFloat a -> a # foldl1 :: (a -> a -> a) -> UFloat a -> a # toList :: UFloat a -> [a] # null :: UFloat a -> Bool # length :: UFloat a -> Int # elem :: Eq a => a -> UFloat a -> Bool # maximum :: Ord a => UFloat a -> a # minimum :: Ord a => UFloat a -> a # sum :: Num a => UFloat a -> a # product :: Num a => UFloat a -> a #
Foldable (UInt :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => UInt m -> m # foldMap :: Monoid m => (a -> m) -> UInt a -> m # foldMap' :: Monoid m => (a -> m) -> UInt a -> m # foldr :: (a -> b -> b) -> b -> UInt a -> b # foldr' :: (a -> b -> b) -> b -> UInt a -> b # foldl :: (b -> a -> b) -> b -> UInt a -> b # foldl' :: (b -> a -> b) -> b -> UInt a -> b # foldr1 :: (a -> a -> a) -> UInt a -> a # foldl1 :: (a -> a -> a) -> UInt a -> a # toList :: UInt a -> [a] # null :: UInt a -> Bool # length :: UInt a -> Int # elem :: Eq a => a -> UInt a -> Bool # maximum :: Ord a => UInt a -> a # minimum :: Ord a => UInt a -> a # sum :: Num a => UInt a -> a # product :: Num a => UInt a -> a #
Foldable (UWord :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => UWord m -> m # foldMap :: Monoid m => (a -> m) -> UWord a -> m # foldMap' :: Monoid m => (a -> m) -> UWord a -> m # foldr :: (a -> b -> b) -> b -> UWord a -> b # foldr' :: (a -> b -> b) -> b -> UWord a -> b # foldl :: (b -> a -> b) -> b -> UWord a -> b # foldl' :: (b -> a -> b) -> b -> UWord a -> b # foldr1 :: (a -> a -> a) -> UWord a -> a # foldl1 :: (a -> a -> a) -> UWord a -> a # toList :: UWord a -> [a] # null :: UWord a -> Bool # length :: UWord a -> Int # elem :: Eq a => a -> UWord a -> Bool # maximum :: Ord a => UWord a -> a # minimum :: Ord a => UWord a -> a # sum :: Num a => UWord a -> a # product :: Num a => UWord a -> a #
Foldable (V1 :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => V1 m -> m # foldMap :: Monoid m => (a -> m) -> V1 a -> m # foldMap' :: Monoid m => (a -> m) -> V1 a -> m # foldr :: (a -> b -> b) -> b -> V1 a -> b # foldr' :: (a -> b -> b) -> b -> V1 a -> b # foldl :: (b -> a -> b) -> b -> V1 a -> b # foldl' :: (b -> a -> b) -> b -> V1 a -> b # foldr1 :: (a -> a -> a) -> V1 a -> a # foldl1 :: (a -> a -> a) -> V1 a -> a # toList :: V1 a -> [a] # null :: V1 a -> Bool # length :: V1 a -> Int # elem :: Eq a => a -> V1 a -> Bool # maximum :: Ord a => V1 a -> a # minimum :: Ord a => V1 a -> a # sum :: Num a => V1 a -> a # product :: Num a => V1 a -> a #
Foldable f => Foldable (Lift f) |
Instance details Defined in Control.Applicative.Lift Methods fold :: Monoid m => Lift f m -> m # foldMap :: Monoid m => (a -> m) -> Lift f a -> m # foldMap' :: Monoid m => (a -> m) -> Lift f a -> m # foldr :: (a -> b -> b) -> b -> Lift f a -> b # foldr' :: (a -> b -> b) -> b -> Lift f a -> b # foldl :: (b -> a -> b) -> b -> Lift f a -> b # foldl' :: (b -> a -> b) -> b -> Lift f a -> b # foldr1 :: (a -> a -> a) -> Lift f a -> a # foldl1 :: (a -> a -> a) -> Lift f a -> a # toList :: Lift f a -> [a] # null :: Lift f a -> Bool # length :: Lift f a -> Int # elem :: Eq a => a -> Lift f a -> Bool # maximum :: Ord a => Lift f a -> a # minimum :: Ord a => Lift f a -> a # sum :: Num a => Lift f a -> a # product :: Num a => Lift f a -> a #
Foldable f => Foldable (MaybeT f) |
Instance details Defined in Control.Monad.Trans.Maybe Methods fold :: Monoid m => MaybeT f m -> m # foldMap :: Monoid m => (a -> m) -> MaybeT f a -> m # foldMap' :: Monoid m => (a -> m) -> MaybeT f a -> m # foldr :: (a -> b -> b) -> b -> MaybeT f a -> b # foldr' :: (a -> b -> b) -> b -> MaybeT f a -> b # foldl :: (b -> a -> b) -> b -> MaybeT f a -> b # foldl' :: (b -> a -> b) -> b -> MaybeT f a -> b # foldr1 :: (a -> a -> a) -> MaybeT f a -> a # foldl1 :: (a -> a -> a) -> MaybeT f a -> a # toList :: MaybeT f a -> [a] # null :: MaybeT f a -> Bool # length :: MaybeT f a -> Int # elem :: Eq a => a -> MaybeT f a -> Bool # maximum :: Ord a => MaybeT f a -> a # minimum :: Ord a => MaybeT f a -> a # sum :: Num a => MaybeT f a -> a # product :: Num a => MaybeT f a -> a #
Foldable (HashMap k) |
Instance details Defined in Data.HashMap.Internal Methods fold :: Monoid m => HashMap k m -> m # foldMap :: Monoid m => (a -> m) -> HashMap k a -> m # foldMap' :: Monoid m => (a -> m) -> HashMap k a -> m # foldr :: (a -> b -> b) -> b -> HashMap k a -> b # foldr' :: (a -> b -> b) -> b -> HashMap k a -> b # foldl :: (b -> a -> b) -> b -> HashMap k a -> b # foldl' :: (b -> a -> b) -> b -> HashMap k a -> b # foldr1 :: (a -> a -> a) -> HashMap k a -> a # foldl1 :: (a -> a -> a) -> HashMap k a -> a # toList :: HashMap k a -> [a] # null :: HashMap k a -> Bool # length :: HashMap k a -> Int # elem :: Eq a => a -> HashMap k a -> Bool # maximum :: Ord a => HashMap k a -> a # minimum :: Ord a => HashMap k a -> a # sum :: Num a => HashMap k a -> a # product :: Num a => HashMap k a -> a #
Foldable ((,) a) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => (a, m) -> m # foldMap :: Monoid m => (a0 -> m) -> (a, a0) -> m # foldMap' :: Monoid m => (a0 -> m) -> (a, a0) -> m # foldr :: (a0 -> b -> b) -> b -> (a, a0) -> b # foldr' :: (a0 -> b -> b) -> b -> (a, a0) -> b # foldl :: (b -> a0 -> b) -> b -> (a, a0) -> b # foldl' :: (b -> a0 -> b) -> b -> (a, a0) -> b # foldr1 :: (a0 -> a0 -> a0) -> (a, a0) -> a0 # foldl1 :: (a0 -> a0 -> a0) -> (a, a0) -> a0 # toList :: (a, a0) -> [a0] # null :: (a, a0) -> Bool # length :: (a, a0) -> Int # elem :: Eq a0 => a0 -> (a, a0) -> Bool # maximum :: Ord a0 => (a, a0) -> a0 # minimum :: Ord a0 => (a, a0) -> a0 # sum :: Num a0 => (a, a0) -> a0 # product :: Num a0 => (a, a0) -> a0 #
Foldable f => Foldable (Ap f) | @since base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => Ap f m -> m # foldMap :: Monoid m => (a -> m) -> Ap f a -> m # foldMap' :: Monoid m => (a -> m) -> Ap f a -> m # foldr :: (a -> b -> b) -> b -> Ap f a -> b # foldr' :: (a -> b -> b) -> b -> Ap f a -> b # foldl :: (b -> a -> b) -> b -> Ap f a -> b # foldl' :: (b -> a -> b) -> b -> Ap f a -> b # foldr1 :: (a -> a -> a) -> Ap f a -> a # foldl1 :: (a -> a -> a) -> Ap f a -> a # toList :: Ap f a -> [a] # null :: Ap f a -> Bool # length :: Ap f a -> Int # elem :: Eq a => a -> Ap f a -> Bool # maximum :: Ord a => Ap f a -> a # minimum :: Ord a => Ap f a -> a # sum :: Num a => Ap f a -> a # product :: Num a => Ap f a -> a #
Foldable f => Foldable (Alt f) | @since base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => Alt f m -> m # foldMap :: Monoid m => (a -> m) -> Alt f a -> m # foldMap' :: Monoid m => (a -> m) -> Alt f a -> m # foldr :: (a -> b -> b) -> b -> Alt f a -> b # foldr' :: (a -> b -> b) -> b -> Alt f a -> b # foldl :: (b -> a -> b) -> b -> Alt f a -> b # foldl' :: (b -> a -> b) -> b -> Alt f a -> b # foldr1 :: (a -> a -> a) -> Alt f a -> a # foldl1 :: (a -> a -> a) -> Alt f a -> a # toList :: Alt f a -> [a] # null :: Alt f a -> Bool # length :: Alt f a -> Int # elem :: Eq a => a -> Alt f a -> Bool # maximum :: Ord a => Alt f a -> a # minimum :: Ord a => Alt f a -> a # sum :: Num a => Alt f a -> a # product :: Num a => Alt f a -> a #
Foldable f => Foldable (Rec1 f) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => Rec1 f m -> m # foldMap :: Monoid m => (a -> m) -> Rec1 f a -> m # foldMap' :: Monoid m => (a -> m) -> Rec1 f a -> m # foldr :: (a -> b -> b) -> b -> Rec1 f a -> b # foldr' :: (a -> b -> b) -> b -> Rec1 f a -> b # foldl :: (b -> a -> b) -> b -> Rec1 f a -> b # foldl' :: (b -> a -> b) -> b -> Rec1 f a -> b # foldr1 :: (a -> a -> a) -> Rec1 f a -> a # foldl1 :: (a -> a -> a) -> Rec1 f a -> a # toList :: Rec1 f a -> [a] # null :: Rec1 f a -> Bool # length :: Rec1 f a -> Int # elem :: Eq a => a -> Rec1 f a -> Bool # maximum :: Ord a => Rec1 f a -> a # minimum :: Ord a => Rec1 f a -> a # sum :: Num a => Rec1 f a -> a # product :: Num a => Rec1 f a -> a #
Foldable f => Foldable (Backwards f) | Derived instance.
Instance details Defined in Control.Applicative.Backwards Methods fold :: Monoid m => Backwards f m -> m # foldMap :: Monoid m => (a -> m) -> Backwards f a -> m # foldMap' :: Monoid m => (a -> m) -> Backwards f a -> m # foldr :: (a -> b -> b) -> b -> Backwards f a -> b # foldr' :: (a -> b -> b) -> b -> Backwards f a -> b # foldl :: (b -> a -> b) -> b -> Backwards f a -> b # foldl' :: (b -> a -> b) -> b -> Backwards f a -> b # foldr1 :: (a -> a -> a) -> Backwards f a -> a # foldl1 :: (a -> a -> a) -> Backwards f a -> a # toList :: Backwards f a -> [a] # null :: Backwards f a -> Bool # length :: Backwards f a -> Int # elem :: Eq a => a -> Backwards f a -> Bool # maximum :: Ord a => Backwards f a -> a # minimum :: Ord a => Backwards f a -> a # sum :: Num a => Backwards f a -> a # product :: Num a => Backwards f a -> a #
Foldable f => Foldable (ExceptT e f) |
Instance details Defined in Control.Monad.Trans.Except Methods fold :: Monoid m => ExceptT e f m -> m # foldMap :: Monoid m => (a -> m) -> ExceptT e f a -> m # foldMap' :: Monoid m => (a -> m) -> ExceptT e f a -> m # foldr :: (a -> b -> b) -> b -> ExceptT e f a -> b # foldr' :: (a -> b -> b) -> b -> ExceptT e f a -> b # foldl :: (b -> a -> b) -> b -> ExceptT e f a -> b # foldl' :: (b -> a -> b) -> b -> ExceptT e f a -> b # foldr1 :: (a -> a -> a) -> ExceptT e f a -> a # foldl1 :: (a -> a -> a) -> ExceptT e f a -> a # toList :: ExceptT e f a -> [a] # null :: ExceptT e f a -> Bool # length :: ExceptT e f a -> Int # elem :: Eq a => a -> ExceptT e f a -> Bool # maximum :: Ord a => ExceptT e f a -> a # minimum :: Ord a => ExceptT e f a -> a # sum :: Num a => ExceptT e f a -> a # product :: Num a => ExceptT e f a -> a #
Foldable f => Foldable (IdentityT f) |
Instance details Defined in Control.Monad.Trans.Identity Methods fold :: Monoid m => IdentityT f m -> m # foldMap :: Monoid m => (a -> m) -> IdentityT f a -> m # foldMap' :: Monoid m => (a -> m) -> IdentityT f a -> m # foldr :: (a -> b -> b) -> b -> IdentityT f a -> b # foldr' :: (a -> b -> b) -> b -> IdentityT f a -> b # foldl :: (b -> a -> b) -> b -> IdentityT f a -> b # foldl' :: (b -> a -> b) -> b -> IdentityT f a -> b # foldr1 :: (a -> a -> a) -> IdentityT f a -> a # foldl1 :: (a -> a -> a) -> IdentityT f a -> a # toList :: IdentityT f a -> [a] # null :: IdentityT f a -> Bool # length :: IdentityT f a -> Int # elem :: Eq a => a -> IdentityT f a -> Bool # maximum :: Ord a => IdentityT f a -> a # minimum :: Ord a => IdentityT f a -> a # sum :: Num a => IdentityT f a -> a # product :: Num a => IdentityT f a -> a #
Foldable f => Foldable (WriterT w f) |
Instance details Defined in Control.Monad.Trans.Writer.Lazy Methods fold :: Monoid m => WriterT w f m -> m # foldMap :: Monoid m => (a -> m) -> WriterT w f a -> m # foldMap' :: Monoid m => (a -> m) -> WriterT w f a -> m # foldr :: (a -> b -> b) -> b -> WriterT w f a -> b # foldr' :: (a -> b -> b) -> b -> WriterT w f a -> b # foldl :: (b -> a -> b) -> b -> WriterT w f a -> b # foldl' :: (b -> a -> b) -> b -> WriterT w f a -> b # foldr1 :: (a -> a -> a) -> WriterT w f a -> a # foldl1 :: (a -> a -> a) -> WriterT w f a -> a # toList :: WriterT w f a -> [a] # null :: WriterT w f a -> Bool # length :: WriterT w f a -> Int # elem :: Eq a => a -> WriterT w f a -> Bool # maximum :: Ord a => WriterT w f a -> a # minimum :: Ord a => WriterT w f a -> a # sum :: Num a => WriterT w f a -> a # product :: Num a => WriterT w f a -> a #
Foldable f => Foldable (WriterT w f) |
Instance details Defined in Control.Monad.Trans.Writer.Strict Methods fold :: Monoid m => WriterT w f m -> m # foldMap :: Monoid m => (a -> m) -> WriterT w f a -> m # foldMap' :: Monoid m => (a -> m) -> WriterT w f a -> m # foldr :: (a -> b -> b) -> b -> WriterT w f a -> b # foldr' :: (a -> b -> b) -> b -> WriterT w f a -> b # foldl :: (b -> a -> b) -> b -> WriterT w f a -> b # foldl' :: (b -> a -> b) -> b -> WriterT w f a -> b # foldr1 :: (a -> a -> a) -> WriterT w f a -> a # foldl1 :: (a -> a -> a) -> WriterT w f a -> a # toList :: WriterT w f a -> [a] # null :: WriterT w f a -> Bool # length :: WriterT w f a -> Int # elem :: Eq a => a -> WriterT w f a -> Bool # maximum :: Ord a => WriterT w f a -> a # minimum :: Ord a => WriterT w f a -> a # sum :: Num a => WriterT w f a -> a # product :: Num a => WriterT w f a -> a #
Foldable (Constant a :: Type -> Type) |
Instance details Defined in Data.Functor.Constant Methods fold :: Monoid m => Constant a m -> m # foldMap :: Monoid m => (a0 -> m) -> Constant a a0 -> m # foldMap' :: Monoid m => (a0 -> m) -> Constant a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Constant a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Constant a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Constant a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Constant a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Constant a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Constant a a0 -> a0 # toList :: Constant a a0 -> [a0] # null :: Constant a a0 -> Bool # length :: Constant a a0 -> Int # elem :: Eq a0 => a0 -> Constant a a0 -> Bool # maximum :: Ord a0 => Constant a a0 -> a0 # minimum :: Ord a0 => Constant a a0 -> a0 # sum :: Num a0 => Constant a a0 -> a0 # product :: Num a0 => Constant a a0 -> a0 #
Foldable f => Foldable (Reverse f) | Fold from right to left.
Instance details Defined in Data.Functor.Reverse Methods fold :: Monoid m => Reverse f m -> m # foldMap :: Monoid m => (a -> m) -> Reverse f a -> m # foldMap' :: Monoid m => (a -> m) -> Reverse f a -> m # foldr :: (a -> b -> b) -> b -> Reverse f a -> b # foldr' :: (a -> b -> b) -> b -> Reverse f a -> b # foldl :: (b -> a -> b) -> b -> Reverse f a -> b # foldl' :: (b -> a -> b) -> b -> Reverse f a -> b # foldr1 :: (a -> a -> a) -> Reverse f a -> a # foldl1 :: (a -> a -> a) -> Reverse f a -> a # toList :: Reverse f a -> [a] # null :: Reverse f a -> Bool # length :: Reverse f a -> Int # elem :: Eq a => a -> Reverse f a -> Bool # maximum :: Ord a => Reverse f a -> a # minimum :: Ord a => Reverse f a -> a # sum :: Num a => Reverse f a -> a # product :: Num a => Reverse f a -> a #
(Foldable f, Foldable g) => Foldable (Product f g) | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Product Methods fold :: Monoid m => Product f g m -> m # foldMap :: Monoid m => (a -> m) -> Product f g a -> m # foldMap' :: Monoid m => (a -> m) -> Product f g a -> m # foldr :: (a -> b -> b) -> b -> Product f g a -> b # foldr' :: (a -> b -> b) -> b -> Product f g a -> b # foldl :: (b -> a -> b) -> b -> Product f g a -> b # foldl' :: (b -> a -> b) -> b -> Product f g a -> b # foldr1 :: (a -> a -> a) -> Product f g a -> a # foldl1 :: (a -> a -> a) -> Product f g a -> a # toList :: Product f g a -> [a] # null :: Product f g a -> Bool # length :: Product f g a -> Int # elem :: Eq a => a -> Product f g a -> Bool # maximum :: Ord a => Product f g a -> a # minimum :: Ord a => Product f g a -> a # sum :: Num a => Product f g a -> a # product :: Num a => Product f g a -> a #
(Foldable f, Foldable g) => Foldable (Sum f g) | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Sum Methods fold :: Monoid m => Sum f g m -> m # foldMap :: Monoid m => (a -> m) -> Sum f g a -> m # foldMap' :: Monoid m => (a -> m) -> Sum f g a -> m # foldr :: (a -> b -> b) -> b -> Sum f g a -> b # foldr' :: (a -> b -> b) -> b -> Sum f g a -> b # foldl :: (b -> a -> b) -> b -> Sum f g a -> b # foldl' :: (b -> a -> b) -> b -> Sum f g a -> b # foldr1 :: (a -> a -> a) -> Sum f g a -> a # foldl1 :: (a -> a -> a) -> Sum f g a -> a # toList :: Sum f g a -> [a] # null :: Sum f g a -> Bool # length :: Sum f g a -> Int # elem :: Eq a => a -> Sum f g a -> Bool # maximum :: Ord a => Sum f g a -> a # minimum :: Ord a => Sum f g a -> a # sum :: Num a => Sum f g a -> a # product :: Num a => Sum f g a -> a #
(Foldable f, Foldable g) => Foldable (f :*: g) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => (f :*: g) m -> m # foldMap :: Monoid m => (a -> m) -> (f :*: g) a -> m # foldMap' :: Monoid m => (a -> m) -> (f :*: g) a -> m # foldr :: (a -> b -> b) -> b -> (f :*: g) a -> b # foldr' :: (a -> b -> b) -> b -> (f :*: g) a -> b # foldl :: (b -> a -> b) -> b -> (f :*: g) a -> b # foldl' :: (b -> a -> b) -> b -> (f :*: g) a -> b # foldr1 :: (a -> a -> a) -> (f :*: g) a -> a # foldl1 :: (a -> a -> a) -> (f :*: g) a -> a # toList :: (f :*: g) a -> [a] # null :: (f :*: g) a -> Bool # length :: (f :*: g) a -> Int # elem :: Eq a => a -> (f :*: g) a -> Bool # maximum :: Ord a => (f :*: g) a -> a # minimum :: Ord a => (f :*: g) a -> a # sum :: Num a => (f :*: g) a -> a # product :: Num a => (f :*: g) a -> a #
(Foldable f, Foldable g) => Foldable (f :+: g) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => (f :+: g) m -> m # foldMap :: Monoid m => (a -> m) -> (f :+: g) a -> m # foldMap' :: Monoid m => (a -> m) -> (f :+: g) a -> m # foldr :: (a -> b -> b) -> b -> (f :+: g) a -> b # foldr' :: (a -> b -> b) -> b -> (f :+: g) a -> b # foldl :: (b -> a -> b) -> b -> (f :+: g) a -> b # foldl' :: (b -> a -> b) -> b -> (f :+: g) a -> b # foldr1 :: (a -> a -> a) -> (f :+: g) a -> a # foldl1 :: (a -> a -> a) -> (f :+: g) a -> a # toList :: (f :+: g) a -> [a] # null :: (f :+: g) a -> Bool # length :: (f :+: g) a -> Int # elem :: Eq a => a -> (f :+: g) a -> Bool # maximum :: Ord a => (f :+: g) a -> a # minimum :: Ord a => (f :+: g) a -> a # sum :: Num a => (f :+: g) a -> a # product :: Num a => (f :+: g) a -> a #
Foldable (K1 i c :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => K1 i c m -> m # foldMap :: Monoid m => (a -> m) -> K1 i c a -> m # foldMap' :: Monoid m => (a -> m) -> K1 i c a -> m # foldr :: (a -> b -> b) -> b -> K1 i c a -> b # foldr' :: (a -> b -> b) -> b -> K1 i c a -> b # foldl :: (b -> a -> b) -> b -> K1 i c a -> b # foldl' :: (b -> a -> b) -> b -> K1 i c a -> b # foldr1 :: (a -> a -> a) -> K1 i c a -> a # foldl1 :: (a -> a -> a) -> K1 i c a -> a # toList :: K1 i c a -> [a] # null :: K1 i c a -> Bool # length :: K1 i c a -> Int # elem :: Eq a => a -> K1 i c a -> Bool # maximum :: Ord a => K1 i c a -> a # minimum :: Ord a => K1 i c a -> a # sum :: Num a => K1 i c a -> a # product :: Num a => K1 i c a -> a #
(Foldable f, Foldable g) => Foldable (Compose f g) | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Compose Methods fold :: Monoid m => Compose f g m -> m # foldMap :: Monoid m => (a -> m) -> Compose f g a -> m # foldMap' :: Monoid m => (a -> m) -> Compose f g a -> m # foldr :: (a -> b -> b) -> b -> Compose f g a -> b # foldr' :: (a -> b -> b) -> b -> Compose f g a -> b # foldl :: (b -> a -> b) -> b -> Compose f g a -> b # foldl' :: (b -> a -> b) -> b -> Compose f g a -> b # foldr1 :: (a -> a -> a) -> Compose f g a -> a # foldl1 :: (a -> a -> a) -> Compose f g a -> a # toList :: Compose f g a -> [a] # null :: Compose f g a -> Bool # length :: Compose f g a -> Int # elem :: Eq a => a -> Compose f g a -> Bool # maximum :: Ord a => Compose f g a -> a # minimum :: Ord a => Compose f g a -> a # sum :: Num a => Compose f g a -> a # product :: Num a => Compose f g a -> a #
(Foldable f, Foldable g) => Foldable (f :.: g) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => (f :.: g) m -> m # foldMap :: Monoid m => (a -> m) -> (f :.: g) a -> m # foldMap' :: Monoid m => (a -> m) -> (f :.: g) a -> m # foldr :: (a -> b -> b) -> b -> (f :.: g) a -> b # foldr' :: (a -> b -> b) -> b -> (f :.: g) a -> b # foldl :: (b -> a -> b) -> b -> (f :.: g) a -> b # foldl' :: (b -> a -> b) -> b -> (f :.: g) a -> b # foldr1 :: (a -> a -> a) -> (f :.: g) a -> a # foldl1 :: (a -> a -> a) -> (f :.: g) a -> a # toList :: (f :.: g) a -> [a] # null :: (f :.: g) a -> Bool # length :: (f :.: g) a -> Int # elem :: Eq a => a -> (f :.: g) a -> Bool # maximum :: Ord a => (f :.: g) a -> a # minimum :: Ord a => (f :.: g) a -> a # sum :: Num a => (f :.: g) a -> a # product :: Num a => (f :.: g) a -> a #
Foldable f => Foldable (M1 i c f) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => M1 i c f m -> m # foldMap :: Monoid m => (a -> m) -> M1 i c f a -> m # foldMap' :: Monoid m => (a -> m) -> M1 i c f a -> m # foldr :: (a -> b -> b) -> b -> M1 i c f a -> b # foldr' :: (a -> b -> b) -> b -> M1 i c f a -> b # foldl :: (b -> a -> b) -> b -> M1 i c f a -> b # foldl' :: (b -> a -> b) -> b -> M1 i c f a -> b # foldr1 :: (a -> a -> a) -> M1 i c f a -> a # foldl1 :: (a -> a -> a) -> M1 i c f a -> a # toList :: M1 i c f a -> [a] # null :: M1 i c f a -> Bool # length :: M1 i c f a -> Int # elem :: Eq a => a -> M1 i c f a -> Bool # maximum :: Ord a => M1 i c f a -> a # minimum :: Ord a => M1 i c f a -> a # sum :: Num a => M1 i c f a -> a # product :: Num a => M1 i c f a -> a #

asum :: (Foldable t, Alternative f) => t (f a) -> f a #

The sum of a collection of actions using `(<|>)`, generalizing `concat`.

`asum` is just like `msum`, but generalised to `Alternative`.

#### Examples

Expand

Basic usage:

    >>> asum [Just "Hello", Nothing, Just "World"]
    Just "Hello"

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

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.

Minimal complete definition

traverse | sequenceA

#### Instances

Instances details

Traversable Complex | Since: base-4.9.0.0
Instance details Defined in Data.Complex Methods traverse :: Applicative f => (a -> f b) -> Complex a -> f (Complex b) # sequenceA :: Applicative f => Complex (f a) -> f (Complex a) # mapM :: Monad m => (a -> m b) -> Complex a -> m (Complex b) # sequence :: Monad m => Complex (m a) -> m (Complex a) #
Traversable First | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods traverse :: Applicative f => (a -> f b) -> First a -> f (First b) # sequenceA :: Applicative f => First (f a) -> f (First a) # mapM :: Monad m => (a -> m b) -> First a -> m (First b) # sequence :: Monad m => First (m a) -> m (First a) #
Traversable Last | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods traverse :: Applicative f => (a -> f b) -> Last a -> f (Last b) # sequenceA :: Applicative f => Last (f a) -> f (Last a) # mapM :: Monad m => (a -> m b) -> Last a -> m (Last b) # sequence :: Monad m => Last (m a) -> m (Last a) #
Traversable Max | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods traverse :: Applicative f => (a -> f b) -> Max a -> f (Max b) # sequenceA :: Applicative f => Max (f a) -> f (Max a) # mapM :: Monad m => (a -> m b) -> Max a -> m (Max b) # sequence :: Monad m => Max (m a) -> m (Max a) #
Traversable Min | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods traverse :: Applicative f => (a -> f b) -> Min a -> f (Min b) # sequenceA :: Applicative f => Min (f a) -> f (Min a) # mapM :: Monad m => (a -> m b) -> Min a -> m (Min b) # sequence :: Monad m => Min (m a) -> m (Min a) #
Traversable SCC | Since: containers-0.5.9
Instance details Defined in Data.Graph Methods traverse :: Applicative f => (a -> f b) -> SCC a -> f (SCC b) # sequenceA :: Applicative f => SCC (f a) -> f (SCC a) # mapM :: Monad m => (a -> m b) -> SCC a -> m (SCC b) # sequence :: Monad m => SCC (m a) -> m (SCC a) #
Traversable IntMap | Traverses in order of increasing key.
Instance details Defined in Data.IntMap.Internal Methods traverse :: Applicative f => (a -> f b) -> IntMap a -> f (IntMap b) # sequenceA :: Applicative f => IntMap (f a) -> f (IntMap a) # mapM :: Monad m => (a -> m b) -> IntMap a -> m (IntMap b) # sequence :: Monad m => IntMap (m a) -> m (IntMap a) #
Traversable Digit |
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> Digit a -> f (Digit b) # sequenceA :: Applicative f => Digit (f a) -> f (Digit a) # mapM :: Monad m => (a -> m b) -> Digit a -> m (Digit b) # sequence :: Monad m => Digit (m a) -> m (Digit a) #
Traversable Elem |
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> Elem a -> f (Elem b) # sequenceA :: Applicative f => Elem (f a) -> f (Elem a) # mapM :: Monad m => (a -> m b) -> Elem a -> m (Elem b) # sequence :: Monad m => Elem (m a) -> m (Elem a) #
Traversable FingerTree |
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> FingerTree a -> f (FingerTree b) # sequenceA :: Applicative f => FingerTree (f a) -> f (FingerTree a) # mapM :: Monad m => (a -> m b) -> FingerTree a -> m (FingerTree b) # sequence :: Monad m => FingerTree (m a) -> m (FingerTree a) #
Traversable Node |
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> Node a -> f (Node b) # sequenceA :: Applicative f => Node (f a) -> f (Node a) # mapM :: Monad m => (a -> m b) -> Node a -> m (Node b) # sequence :: Monad m => Node (m a) -> m (Node a) #
Traversable Seq |
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> Seq a -> f (Seq b) # sequenceA :: Applicative f => Seq (f a) -> f (Seq a) # mapM :: Monad m => (a -> m b) -> Seq a -> m (Seq b) # sequence :: Monad m => Seq (m a) -> m (Seq a) #
Traversable ViewL |
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> ViewL a -> f (ViewL b) # sequenceA :: Applicative f => ViewL (f a) -> f (ViewL a) # mapM :: Monad m => (a -> m b) -> ViewL a -> m (ViewL b) # sequence :: Monad m => ViewL (m a) -> m (ViewL a) #
Traversable ViewR |
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> ViewR a -> f (ViewR b) # sequenceA :: Applicative f => ViewR (f a) -> f (ViewR a) # mapM :: Monad m => (a -> m b) -> ViewR a -> m (ViewR b) # sequence :: Monad m => ViewR (m a) -> m (ViewR a) #
Traversable Tree |
Instance details Defined in Data.Tree Methods traverse :: Applicative f => (a -> f b) -> Tree a -> f (Tree b) # sequenceA :: Applicative f => Tree (f a) -> f (Tree a) # mapM :: Monad m => (a -> m b) -> Tree a -> m (Tree b) # sequence :: Monad m => Tree (m a) -> m (Tree a) #
Traversable NonEmpty | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> NonEmpty a -> f (NonEmpty b) # sequenceA :: Applicative f => NonEmpty (f a) -> f (NonEmpty a) # mapM :: Monad m => (a -> m b) -> NonEmpty a -> m (NonEmpty b) # sequence :: Monad m => NonEmpty (m a) -> m (NonEmpty a) #
Traversable Identity | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Identity a -> f (Identity b) # sequenceA :: Applicative f => Identity (f a) -> f (Identity a) # mapM :: Monad m => (a -> m b) -> Identity a -> m (Identity b) # sequence :: Monad m => Identity (m a) -> m (Identity a) #
Traversable First | @since base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> First a -> f (First b) # sequenceA :: Applicative f => First (f a) -> f (First a) # mapM :: Monad m => (a -> m b) -> First a -> m (First b) # sequence :: Monad m => First (m a) -> m (First a) #
Traversable Last | @since base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Last a -> f (Last b) # sequenceA :: Applicative f => Last (f a) -> f (Last a) # mapM :: Monad m => (a -> m b) -> Last a -> m (Last b) # sequence :: Monad m => Last (m a) -> m (Last a) #
Traversable Down | @since base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Down a -> f (Down b) # sequenceA :: Applicative f => Down (f a) -> f (Down a) # mapM :: Monad m => (a -> m b) -> Down a -> m (Down b) # sequence :: Monad m => Down (m a) -> m (Down a) #
Traversable Dual | @since base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Dual a -> f (Dual b) # sequenceA :: Applicative f => Dual (f a) -> f (Dual a) # mapM :: Monad m => (a -> m b) -> Dual a -> m (Dual b) # sequence :: Monad m => Dual (m a) -> m (Dual a) #
Traversable Product | @since base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Product a -> f (Product b) # sequenceA :: Applicative f => Product (f a) -> f (Product a) # mapM :: Monad m => (a -> m b) -> Product a -> m (Product b) # sequence :: Monad m => Product (m a) -> m (Product a) #
Traversable Sum | @since base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Sum a -> f (Sum b) # sequenceA :: Applicative f => Sum (f a) -> f (Sum a) # mapM :: Monad m => (a -> m b) -> Sum a -> m (Sum b) # sequence :: Monad m => Sum (m a) -> m (Sum a) #
Traversable Par1 | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Par1 a -> f (Par1 b) # sequenceA :: Applicative f => Par1 (f a) -> f (Par1 a) # mapM :: Monad m => (a -> m b) -> Par1 a -> m (Par1 b) # sequence :: Monad m => Par1 (m a) -> m (Par1 a) #
Traversable Array |
Instance details Defined in Data.Primitive.Array Methods traverse :: Applicative f => (a -> f b) -> Array a -> f (Array b) # sequenceA :: Applicative f => Array (f a) -> f (Array a) # mapM :: Monad m => (a -> m b) -> Array a -> m (Array b) # sequence :: Monad m => Array (m a) -> m (Array a) #
Traversable SmallArray |
Instance details Defined in Data.Primitive.SmallArray Methods traverse :: Applicative f => (a -> f b) -> SmallArray a -> f (SmallArray b) # sequenceA :: Applicative f => SmallArray (f a) -> f (SmallArray a) # mapM :: Monad m => (a -> m b) -> SmallArray a -> m (SmallArray b) # sequence :: Monad m => SmallArray (m a) -> m (SmallArray a) #
Traversable Vector |
Instance details Defined in Data.Vector Methods traverse :: Applicative f => (a -> f b) -> Vector a -> f (Vector b) # sequenceA :: Applicative f => Vector (f a) -> f (Vector a) # mapM :: Monad m => (a -> m b) -> Vector a -> m (Vector b) # sequence :: Monad m => Vector (m a) -> m (Vector a) #
Traversable Vector |
Instance details Defined in Data.Vector.Strict Methods traverse :: Applicative f => (a -> f b) -> Vector a -> f (Vector b) # sequenceA :: Applicative f => Vector (f a) -> f (Vector a) # mapM :: Monad m => (a -> m b) -> Vector a -> m (Vector b) # sequence :: Monad m => Vector (m a) -> m (Vector a) #
Traversable Maybe | @since base-2.01
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Maybe a -> f (Maybe b) # sequenceA :: Applicative f => Maybe (f a) -> f (Maybe a) # mapM :: Monad m => (a -> m b) -> Maybe a -> m (Maybe b) # sequence :: Monad m => Maybe (m a) -> m (Maybe a) #
Traversable Solo | @since base-4.15
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Solo a -> f (Solo b) # sequenceA :: Applicative f => Solo (f a) -> f (Solo a) # mapM :: Monad m => (a -> m b) -> Solo a -> m (Solo b) # sequence :: Monad m => Solo (m a) -> m (Solo a) #
Traversable [] | @since base-2.01
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> [a] -> f [b] # sequenceA :: Applicative f => [f a] -> f [a] # mapM :: Monad m => (a -> m b) -> [a] -> m [b] # sequence :: Monad m => [m a] -> m [a] #
Traversable (Arg a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods traverse :: Applicative f => (a0 -> f b) -> Arg a a0 -> f (Arg a b) # sequenceA :: Applicative f => Arg a (f a0) -> f (Arg a a0) # mapM :: Monad m => (a0 -> m b) -> Arg a a0 -> m (Arg a b) # sequence :: Monad m => Arg a (m a0) -> m (Arg a a0) #
Traversable (Map k) | Traverses in order of increasing key.
Instance details Defined in Data.Map.Internal Methods traverse :: Applicative f => (a -> f b) -> Map k a -> f (Map k b) # sequenceA :: Applicative f => Map k (f a) -> f (Map k a) # mapM :: Monad m => (a -> m b) -> Map k a -> m (Map k b) # sequence :: Monad m => Map k (m a) -> m (Map k a) #
Ix i => Traversable (Array i) | @since base-2.01
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Array i a -> f (Array i b) # sequenceA :: Applicative f => Array i (f a) -> f (Array i a) # mapM :: Monad m => (a -> m b) -> Array i a -> m (Array i b) # sequence :: Monad m => Array i (m a) -> m (Array i a) #
Traversable (Either a) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a0 -> f b) -> Either a a0 -> f (Either a b) # sequenceA :: Applicative f => Either a (f a0) -> f (Either a a0) # mapM :: Monad m => (a0 -> m b) -> Either a a0 -> m (Either a b) # sequence :: Monad m => Either a (m a0) -> m (Either a a0) #
Traversable (Proxy :: Type -> Type) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Proxy a -> f (Proxy b) # sequenceA :: Applicative f => Proxy (f a) -> f (Proxy a) # mapM :: Monad m => (a -> m b) -> Proxy a -> m (Proxy b) # sequence :: Monad m => Proxy (m a) -> m (Proxy a) #
Traversable (U1 :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> U1 a -> f (U1 b) # sequenceA :: Applicative f => U1 (f a) -> f (U1 a) # mapM :: Monad m => (a -> m b) -> U1 a -> m (U1 b) # sequence :: Monad m => U1 (m a) -> m (U1 a) #
Traversable (UAddr :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> UAddr a -> f (UAddr b) # sequenceA :: Applicative f => UAddr (f a) -> f (UAddr a) # mapM :: Monad m => (a -> m b) -> UAddr a -> m (UAddr b) # sequence :: Monad m => UAddr (m a) -> m (UAddr a) #
Traversable (UChar :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> UChar a -> f (UChar b) # sequenceA :: Applicative f => UChar (f a) -> f (UChar a) # mapM :: Monad m => (a -> m b) -> UChar a -> m (UChar b) # sequence :: Monad m => UChar (m a) -> m (UChar a) #
Traversable (UDouble :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> UDouble a -> f (UDouble b) # sequenceA :: Applicative f => UDouble (f a) -> f (UDouble a) # mapM :: Monad m => (a -> m b) -> UDouble a -> m (UDouble b) # sequence :: Monad m => UDouble (m a) -> m (UDouble a) #
Traversable (UFloat :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> UFloat a -> f (UFloat b) # sequenceA :: Applicative f => UFloat (f a) -> f (UFloat a) # mapM :: Monad m => (a -> m b) -> UFloat a -> m (UFloat b) # sequence :: Monad m => UFloat (m a) -> m (UFloat a) #
Traversable (UInt :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> UInt a -> f (UInt b) # sequenceA :: Applicative f => UInt (f a) -> f (UInt a) # mapM :: Monad m => (a -> m b) -> UInt a -> m (UInt b) # sequence :: Monad m => UInt (m a) -> m (UInt a) #
Traversable (UWord :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> UWord a -> f (UWord b) # sequenceA :: Applicative f => UWord (f a) -> f (UWord a) # mapM :: Monad m => (a -> m b) -> UWord a -> m (UWord b) # sequence :: Monad m => UWord (m a) -> m (UWord a) #
Traversable (V1 :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> V1 a -> f (V1 b) # sequenceA :: Applicative f => V1 (f a) -> f (V1 a) # mapM :: Monad m => (a -> m b) -> V1 a -> m (V1 b) # sequence :: Monad m => V1 (m a) -> m (V1 a) #
Traversable f => Traversable (Lift f) |
Instance details Defined in Control.Applicative.Lift Methods traverse :: Applicative f0 => (a -> f0 b) -> Lift f a -> f0 (Lift f b) # sequenceA :: Applicative f0 => Lift f (f0 a) -> f0 (Lift f a) # mapM :: Monad m => (a -> m b) -> Lift f a -> m (Lift f b) # sequence :: Monad m => Lift f (m a) -> m (Lift f a) #
Traversable f => Traversable (MaybeT f) |
Instance details Defined in Control.Monad.Trans.Maybe Methods traverse :: Applicative f0 => (a -> f0 b) -> MaybeT f a -> f0 (MaybeT f b) # sequenceA :: Applicative f0 => MaybeT f (f0 a) -> f0 (MaybeT f a) # mapM :: Monad m => (a -> m b) -> MaybeT f a -> m (MaybeT f b) # sequence :: Monad m => MaybeT f (m a) -> m (MaybeT f a) #
Traversable (HashMap k) |
Instance details Defined in Data.HashMap.Internal Methods traverse :: Applicative f => (a -> f b) -> HashMap k a -> f (HashMap k b) # sequenceA :: Applicative f => HashMap k (f a) -> f (HashMap k a) # mapM :: Monad m => (a -> m b) -> HashMap k a -> m (HashMap k b) # sequence :: Monad m => HashMap k (m a) -> m (HashMap k a) #
Traversable ((,) a) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a0 -> f b) -> (a, a0) -> f (a, b) # sequenceA :: Applicative f => (a, f a0) -> f (a, a0) # mapM :: Monad m => (a0 -> m b) -> (a, a0) -> m (a, b) # sequence :: Monad m => (a, m a0) -> m (a, a0) #
Traversable (Const m :: Type -> Type) | @since base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Const m a -> f (Const m b) # sequenceA :: Applicative f => Const m (f a) -> f (Const m a) # mapM :: Monad m0 => (a -> m0 b) -> Const m a -> m0 (Const m b) # sequence :: Monad m0 => Const m (m0 a) -> m0 (Const m a) #
Traversable f => Traversable (Ap f) | @since base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> Ap f a -> f0 (Ap f b) # sequenceA :: Applicative f0 => Ap f (f0 a) -> f0 (Ap f a) # mapM :: Monad m => (a -> m b) -> Ap f a -> m (Ap f b) # sequence :: Monad m => Ap f (m a) -> m (Ap f a) #
Traversable f => Traversable (Alt f) | @since base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> Alt f a -> f0 (Alt f b) # sequenceA :: Applicative f0 => Alt f (f0 a) -> f0 (Alt f a) # mapM :: Monad m => (a -> m b) -> Alt f a -> m (Alt f b) # sequence :: Monad m => Alt f (m a) -> m (Alt f a) #
Traversable f => Traversable (Rec1 f) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> Rec1 f a -> f0 (Rec1 f b) # sequenceA :: Applicative f0 => Rec1 f (f0 a) -> f0 (Rec1 f a) # mapM :: Monad m => (a -> m b) -> Rec1 f a -> m (Rec1 f b) # sequence :: Monad m => Rec1 f (m a) -> m (Rec1 f a) #
Traversable f => Traversable (Backwards f) | Derived instance.
Instance details Defined in Control.Applicative.Backwards Methods traverse :: Applicative f0 => (a -> f0 b) -> Backwards f a -> f0 (Backwards f b) # sequenceA :: Applicative f0 => Backwards f (f0 a) -> f0 (Backwards f a) # mapM :: Monad m => (a -> m b) -> Backwards f a -> m (Backwards f b) # sequence :: Monad m => Backwards f (m a) -> m (Backwards f a) #
Traversable f => Traversable (ExceptT e f) |
Instance details Defined in Control.Monad.Trans.Except Methods traverse :: Applicative f0 => (a -> f0 b) -> ExceptT e f a -> f0 (ExceptT e f b) # sequenceA :: Applicative f0 => ExceptT e f (f0 a) -> f0 (ExceptT e f a) # mapM :: Monad m => (a -> m b) -> ExceptT e f a -> m (ExceptT e f b) # sequence :: Monad m => ExceptT e f (m a) -> m (ExceptT e f a) #
Traversable f => Traversable (IdentityT f) |
Instance details Defined in Control.Monad.Trans.Identity Methods traverse :: Applicative f0 => (a -> f0 b) -> IdentityT f a -> f0 (IdentityT f b) # sequenceA :: Applicative f0 => IdentityT f (f0 a) -> f0 (IdentityT f a) # mapM :: Monad m => (a -> m b) -> IdentityT f a -> m (IdentityT f b) # sequence :: Monad m => IdentityT f (m a) -> m (IdentityT f a) #
Traversable f => Traversable (WriterT w f) |
Instance details Defined in Control.Monad.Trans.Writer.Lazy Methods traverse :: Applicative f0 => (a -> f0 b) -> WriterT w f a -> f0 (WriterT w f b) # sequenceA :: Applicative f0 => WriterT w f (f0 a) -> f0 (WriterT w f a) # mapM :: Monad m => (a -> m b) -> WriterT w f a -> m (WriterT w f b) # sequence :: Monad m => WriterT w f (m a) -> m (WriterT w f a) #
Traversable f => Traversable (WriterT w f) |
Instance details Defined in Control.Monad.Trans.Writer.Strict Methods traverse :: Applicative f0 => (a -> f0 b) -> WriterT w f a -> f0 (WriterT w f b) # sequenceA :: Applicative f0 => WriterT w f (f0 a) -> f0 (WriterT w f a) # mapM :: Monad m => (a -> m b) -> WriterT w f a -> m (WriterT w f b) # sequence :: Monad m => WriterT w f (m a) -> m (WriterT w f a) #
Traversable (Constant a :: Type -> Type) |
Instance details Defined in Data.Functor.Constant Methods traverse :: Applicative f => (a0 -> f b) -> Constant a a0 -> f (Constant a b) # sequenceA :: Applicative f => Constant a (f a0) -> f (Constant a a0) # mapM :: Monad m => (a0 -> m b) -> Constant a a0 -> m (Constant a b) # sequence :: Monad m => Constant a (m a0) -> m (Constant a a0) #
Traversable f => Traversable (Reverse f) | Traverse from right to left.
Instance details Defined in Data.Functor.Reverse Methods traverse :: Applicative f0 => (a -> f0 b) -> Reverse f a -> f0 (Reverse f b) # sequenceA :: Applicative f0 => Reverse f (f0 a) -> f0 (Reverse f a) # mapM :: Monad m => (a -> m b) -> Reverse f a -> m (Reverse f b) # sequence :: Monad m => Reverse f (m a) -> m (Reverse f a) #
(Traversable f, Traversable g) => Traversable (Product f g) | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Product Methods traverse :: Applicative f0 => (a -> f0 b) -> Product f g a -> f0 (Product f g b) # sequenceA :: Applicative f0 => Product f g (f0 a) -> f0 (Product f g a) # mapM :: Monad m => (a -> m b) -> Product f g a -> m (Product f g b) # sequence :: Monad m => Product f g (m a) -> m (Product f g a) #
(Traversable f, Traversable g) => Traversable (Sum f g) | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Sum Methods traverse :: Applicative f0 => (a -> f0 b) -> Sum f g a -> f0 (Sum f g b) # sequenceA :: Applicative f0 => Sum f g (f0 a) -> f0 (Sum f g a) # mapM :: Monad m => (a -> m b) -> Sum f g a -> m (Sum f g b) # sequence :: Monad m => Sum f g (m a) -> m (Sum f g a) #
(Traversable f, Traversable g) => Traversable (f :*: g) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> (f :*: g) a -> f0 ((f :*: g) b) # sequenceA :: Applicative f0 => (f :*: g) (f0 a) -> f0 ((f :*: g) a) # mapM :: Monad m => (a -> m b) -> (f :*: g) a -> m ((f :*: g) b) # sequence :: Monad m => (f :*: g) (m a) -> m ((f :*: g) a) #
(Traversable f, Traversable g) => Traversable (f :+: g) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> (f :+: g) a -> f0 ((f :+: g) b) # sequenceA :: Applicative f0 => (f :+: g) (f0 a) -> f0 ((f :+: g) a) # mapM :: Monad m => (a -> m b) -> (f :+: g) a -> m ((f :+: g) b) # sequence :: Monad m => (f :+: g) (m a) -> m ((f :+: g) a) #
Traversable (K1 i c :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> K1 i c a -> f (K1 i c b) # sequenceA :: Applicative f => K1 i c (f a) -> f (K1 i c a) # mapM :: Monad m => (a -> m b) -> K1 i c a -> m (K1 i c b) # sequence :: Monad m => K1 i c (m a) -> m (K1 i c a) #
(Traversable f, Traversable g) => Traversable (Compose f g) | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Compose Methods traverse :: Applicative f0 => (a -> f0 b) -> Compose f g a -> f0 (Compose f g b) # sequenceA :: Applicative f0 => Compose f g (f0 a) -> f0 (Compose f g a) # mapM :: Monad m => (a -> m b) -> Compose f g a -> m (Compose f g b) # sequence :: Monad m => Compose f g (m a) -> m (Compose f g a) #
(Traversable f, Traversable g) => Traversable (f :.: g) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> (f :.: g) a -> f0 ((f :.: g) b) # sequenceA :: Applicative f0 => (f :.: g) (f0 a) -> f0 ((f :.: g) a) # mapM :: Monad m => (a -> m b) -> (f :.: g) a -> m ((f :.: g) b) # sequence :: Monad m => (f :.: g) (m a) -> m ((f :.: g) a) #
Traversable f => Traversable (M1 i c f) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> M1 i c f a -> f0 (M1 i c f b) # sequenceA :: Applicative f0 => M1 i c f (f0 a) -> f0 (M1 i c f a) # mapM :: Monad m => (a -> m b) -> M1 i c f a -> m (M1 i c f b) # sequence :: Monad m => M1 i c f (m a) -> m (M1 i c f a) #

## arrow

first :: Arrow a => a b c -> a (b, d) (c, d) #

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) #

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 #

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 #

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 #

Case analysis for the `Bool` type. ``bool` f t p` evaluates to `f` 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.

@since base-4.7.0.0

#### Examples

Expand

Basic usage:

    >>> bool "foo" "bar" True
    "bar"
    >>> bool "foo" "bar" False
    "foo"

Confirm that ``bool` f t p` and `if p then t else f` are equivalent:

    >>> let p = True; f = "bar"; t = "foo"
    >>> bool f t p == if p then t else f
    True
    >>> let p = False
    >>> bool f t p == if p then t else f
    True

## Maybe

mapMaybe :: (a -> Maybe b) -> [a] -> [b] #

The `mapMaybe` function is a version of `map` which can throw out elements. In particular, the functional argument returns something of type ``Maybe` b`. If this is `Nothing`, no element is added on to the result list. If it is ``Just` b`, then `b` is included in the result list.

#### Examples

Expand

Using ``mapMaybe` f x` is a shortcut for ``catMaybes` $ `map` f x` in most cases:

    >>> 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] #

The `catMaybes` function takes a list of `Maybe`s and returns a list of all the `Just` values.

#### Examples

Expand

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 #

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

Expand

Basic usage:

    >>> fromMaybe "" (Just "Hello, World!")
    "Hello, World!"

    >>> fromMaybe "" Nothing
    ""

Read an integer from a string using `readMaybe`. If we fail to parse an integer, we want to return `0` by default:

    >>> import GHC.Internal.Text.Read ( readMaybe )
    >>> fromMaybe 0 (readMaybe "5")
    5
    >>> fromMaybe 0 (readMaybe "")
    0

isJust :: Maybe a -> Bool #

The `isJust` function returns `True` iff its argument is of the form `Just _`.

#### Examples

Expand

Basic usage:

    >>> isJust (Just 3)
    True

    >>> isJust (Just ())
    True

    >>> isJust Nothing
    False

Only the outer constructor is taken into consideration:

    >>> isJust (Just Nothing)
    True

isNothing :: Maybe a -> Bool #

The `isNothing` function returns `True` iff its argument is `Nothing`.

#### Examples

Expand

Basic usage:

    >>> isNothing (Just 3)
    False

    >>> isNothing (Just ())
    False

    >>> isNothing Nothing
    True

Only the outer constructor is taken into consideration:

    >>> isNothing (Just Nothing)
    False

listToMaybe :: [a] -> Maybe a #

The `listToMaybe` function returns `Nothing` on an empty list or ``Just` a` where `a` is the first element of the list.

#### Examples

Expand

Basic usage:

    >>> listToMaybe []
    Nothing

    >>> listToMaybe [9]
    Just 9

    >>> listToMaybe [1,2,3]
    Just 1

Composing `maybeToList` with `listToMaybe` should be the identity on singleton/empty lists:

    >>> maybeToList $ listToMaybe [5]
    [5]
    >>> maybeToList $ listToMaybe []
    []

But not on lists with more than one element:

    >>> maybeToList $ listToMaybe [1,2,3]
    [1]

maybeToList :: Maybe a -> [a] #

The `maybeToList` function returns an empty list when given `Nothing` or a singleton list when given `Just`.

#### Examples

Expand

Basic usage:

    >>> maybeToList (Just 7)
    [7]

    >>> maybeToList Nothing
    []

One can use `maybeToList` to avoid pattern matching when combined with a function that (safely) works on lists:

    >>> import GHC.Internal.Text.Read ( readMaybe )
    >>> sum $ maybeToList (readMaybe "3")
    3
    >>> sum $ maybeToList (readMaybe "")
    0

## Either

partitionEithers :: [Either a b] -> ([a], [b]) #

Partitions a list of `Either` into two lists. All the `Left` elements are extracted, in order, to the first component of the output. Similarly the `Right` elements are extracted to the second component of the output.

#### Examples

Expand

Basic usage:

    >>> let list = [ Left "foo", Right 3, Left "bar", Right 7, Left "baz" ]
    >>> partitionEithers list
    (["foo","bar","baz"],[3,7])

The pair returned by ``partitionEithers` x` should be the same pair as `(`lefts` x, `rights` x)`:

    >>> let list = [ Left "foo", Right 3, Left "bar", Right 7, Left "baz" ]
    >>> partitionEithers list == (lefts list, rights list)
    True

lefts :: [Either a b] -> [a] #

Extracts from a list of `Either` all the `Left` elements. All the `Left` elements are extracted in order.

#### Examples

Expand

Basic usage:

    >>> let list = [ Left "foo", Right 3, Left "bar", Right 7, Left "baz" ]
    >>> lefts list
    ["foo","bar","baz"]

rights :: [Either a b] -> [b] #

Extracts from a list of `Either` all the `Right` elements. All the `Right` elements are extracted in order.

#### Examples

Expand

Basic usage:

    >>> let list = [ Left "foo", Right 3, Left "bar", Right 7, Left "baz" ]
    >>> rights list
    [3,7]

## Ord

on :: (b -> b -> c) -> (a -> b) -> a -> a -> c infixl 0 #

``on` b u x y` runs the binary function `b` 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

Expand

    >>> 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

Expand

-     (*) `on` id = (*) -- (if (*) ∉ {⊥, const ⊥})

-     ((*) `on` f) `on` g = (*) `on` (f . g)

-     flip on f . flip on g = flip on (g . f)

comparing :: Ord a => (b -> a) -> b -> b -> Ordering #

    comparing p x y = compare (p x) (p y)

Useful combinator for use in conjunction with the `xxxBy` family of functions from Data.List, for example:

      ... sortBy (comparing fst) ...

equating :: Eq a => (b -> a) -> b -> b -> Bool #

newtype Down a #

The `Down` type allows you to reverse sort order conveniently. A value of type ``Down` a` contains a value of type `a` (represented as ``Down` a`).

If `a` has an ``Ord`` instance associated with it then comparing two values thus wrapped will give you the opposite of their normal sort order. This is particularly useful when sorting in generalised list comprehensions, as in: `then sortWith by `Down` x`.

    >>> compare True False
    GT

    >>> compare (Down True) (Down False)
    LT

If `a` has a ``Bounded`` instance then the wrapped instance also respects the reversed ordering by exchanging the values of ``minBound`` and ``maxBound``.

    >>> minBound :: Int
    -9223372036854775808

    >>> minBound :: Down Int
    Down 9223372036854775807

All other instances of ``Down` a` behave as they do for `a`.

@since base-4.6.0.0

Constructors

Down |
Fields getDown :: a @since base-4.14.0.0

#### Instances

Instances details

MonadZip Down | Since: base-4.12.0.0
Instance details Defined in Control.Monad.Zip Methods mzip :: Down a -> Down b -> Down (a, b) # mzipWith :: (a -> b -> c) -> Down a -> Down b -> Down c # munzip :: Down (a, b) -> (Down a, Down b) #
Foldable1 Down | Since: base-4.18.0.0
Instance details Defined in Data.Foldable1 Methods fold1 :: Semigroup m => Down m -> m # foldMap1 :: Semigroup m => (a -> m) -> Down a -> m # foldMap1' :: Semigroup m => (a -> m) -> Down a -> m # toNonEmpty :: Down a -> NonEmpty a # maximum :: Ord a => Down a -> a # minimum :: Ord a => Down a -> a # head :: Down a -> a # last :: Down a -> a # foldrMap1 :: (a -> b) -> (a -> b -> b) -> Down a -> b # foldlMap1' :: (a -> b) -> (b -> a -> b) -> Down a -> b # foldlMap1 :: (a -> b) -> (b -> a -> b) -> Down a -> b # foldrMap1' :: (a -> b) -> (a -> b -> b) -> Down a -> b #
Eq1 Down | Since: base-4.12.0.0
Instance details Defined in Data.Functor.Classes Methods liftEq :: (a -> b -> Bool) -> Down a -> Down b -> Bool #
Ord1 Down | Since: base-4.12.0.0
Instance details Defined in Data.Functor.Classes Methods liftCompare :: (a -> b -> Ordering) -> Down a -> Down b -> Ordering #
Read1 Down | Since: base-4.12.0.0
Instance details Defined in Data.Functor.Classes Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Down a) # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Down a] # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Down a) # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Down a] #
Show1 Down | Since: base-4.12.0.0
Instance details Defined in Data.Functor.Classes Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Down a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Down a] -> ShowS #
Applicative Down | @since base-4.11.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods pure :: a -> Down a # (<*>) :: Down (a -> b) -> Down a -> Down b # liftA2 :: (a -> b -> c) -> Down a -> Down b -> Down c # (*>) :: Down a -> Down b -> Down b # (<*) :: Down a -> Down b -> Down a #
Functor Down | @since base-4.11.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods fmap :: (a -> b) -> Down a -> Down b # (<$) :: a -> Down b -> Down a #
Monad Down | @since base-4.11.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods (>>=) :: Down a -> (a -> Down b) -> Down b # (>>) :: Down a -> Down b -> Down b # return :: a -> Down a #
Foldable Down | @since base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Foldable Methods fold :: Monoid m => Down m -> m # foldMap :: Monoid m => (a -> m) -> Down a -> m # foldMap' :: Monoid m => (a -> m) -> Down a -> m # foldr :: (a -> b -> b) -> b -> Down a -> b # foldr' :: (a -> b -> b) -> b -> Down a -> b # foldl :: (b -> a -> b) -> b -> Down a -> b # foldl' :: (b -> a -> b) -> b -> Down a -> b # foldr1 :: (a -> a -> a) -> Down a -> a # foldl1 :: (a -> a -> a) -> Down a -> a # toList :: Down a -> [a] # null :: Down a -> Bool # length :: Down a -> Int # elem :: Eq a => a -> Down a -> Bool # maximum :: Ord a => Down a -> a # minimum :: Ord a => Down a -> a # sum :: Num a => Down a -> a # product :: Num a => Down a -> a #
Traversable Down | @since base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Down a -> f (Down b) # sequenceA :: Applicative f => Down (f a) -> f (Down a) # mapM :: Monad m => (a -> m b) -> Down a -> m (Down b) # sequence :: Monad m => Down (m a) -> m (Down a) #
Generic1 Down |
Instance details Defined in GHC.Internal.Generics Associated Types
type Rep1 Down | @since base-4.12.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 Down = D1 ('MetaData "Down" "GHC.Internal.Data.Ord" "ghc-internal" 'True) (C1 ('MetaCons "Down" 'PrefixI 'True) (S1 ('MetaSel ('Just "getDown") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
Methods from1 :: Down a -> Rep1 Down a # to1 :: Rep1 Down a -> Down a #
Unbox a => Vector Vector (Down a) |
Instance details 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 () elemseq :: Vector (Down a) -> Down a -> b -> b
Unbox a => MVector MVector (Down a) |
Instance details 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
Instance details Defined in GHC.Internal.Data.Ord Methods mempty :: Down a # mappend :: Down a -> Down a -> Down a # mconcat :: [Down a] -> Down a #
Semigroup a => Semigroup (Down a) | @since base-4.11.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods (<>) :: Down a -> Down a -> Down a # sconcat :: NonEmpty (Down a) -> Down a # stimes :: Integral b => b -> Down a -> Down a #
Bits a => Bits (Down a) | @since base-4.14.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods (.&.) :: Down a -> Down a -> Down a # (.|.) :: Down a -> Down a -> Down a # xor :: Down a -> Down a -> Down a # complement :: Down a -> Down a # shift :: Down a -> Int -> Down a # rotate :: Down a -> Int -> Down a # zeroBits :: Down a # bit :: Int -> Down a # setBit :: Down a -> Int -> Down a # clearBit :: Down a -> Int -> Down a # complementBit :: Down a -> Int -> Down a # testBit :: Down a -> Int -> Bool # bitSizeMaybe :: Down a -> Maybe Int # bitSize :: Down a -> Int # isSigned :: Down a -> Bool # shiftL :: Down a -> Int -> Down a # unsafeShiftL :: Down a -> Int -> Down a # shiftR :: Down a -> Int -> Down a # unsafeShiftR :: Down a -> Int -> Down a # rotateL :: Down a -> Int -> Down a # rotateR :: Down a -> Int -> Down a # popCount :: Down a -> Int #
FiniteBits a => FiniteBits (Down a) | @since base-4.14.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods finiteBitSize :: Down a -> Int # countLeadingZeros :: Down a -> Int # countTrailingZeros :: Down a -> Int #
Bounded a => Bounded (Down a) | Swaps ``minBound`` and ``maxBound`` of the underlying type. @since base-4.14.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods minBound :: Down a # maxBound :: Down a #
(Enum a, Bounded a, Eq a) => Enum (Down a) | Swaps ``succ`` and ``pred`` of the underlying type. @since base-4.18.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods succ :: Down a -> Down a # pred :: Down a -> Down a # toEnum :: Int -> Down a # fromEnum :: Down a -> Int # enumFrom :: Down a -> [Down a] # enumFromThen :: Down a -> Down a -> [Down a] # enumFromTo :: Down a -> Down a -> [Down a] # enumFromThenTo :: Down a -> Down a -> Down a -> [Down a] #
Floating a => Floating (Down a) | @since base-4.14.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods pi :: Down a # exp :: Down a -> Down a # log :: Down a -> Down a # sqrt :: Down a -> Down a # (**) :: Down a -> Down a -> Down a # logBase :: Down a -> Down a -> Down a # sin :: Down a -> Down a # cos :: Down a -> Down a # tan :: Down a -> Down a # asin :: Down a -> Down a # acos :: Down a -> Down a # atan :: Down a -> Down a # sinh :: Down a -> Down a # cosh :: Down a -> Down a # tanh :: Down a -> Down a # asinh :: Down a -> Down a # acosh :: Down a -> Down a # atanh :: Down a -> Down a # log1p :: Down a -> Down a # expm1 :: Down a -> Down a # log1pexp :: Down a -> Down a # log1mexp :: Down a -> Down a #
RealFloat a => RealFloat (Down a) | @since base-4.14.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods floatRadix :: Down a -> Integer # floatDigits :: Down a -> Int # floatRange :: Down a -> (Int, Int) # decodeFloat :: Down a -> (Integer, Int) # encodeFloat :: Integer -> Int -> Down a # exponent :: Down a -> Int # significand :: Down a -> Down a # scaleFloat :: Int -> Down a -> Down a # isNaN :: Down a -> Bool # isInfinite :: Down a -> Bool # isDenormalized :: Down a -> Bool # isNegativeZero :: Down a -> Bool # isIEEE :: Down a -> Bool # atan2 :: Down a -> Down a -> Down a #
Storable a => Storable (Down a) | @since base-4.14.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods sizeOf :: Down a -> Int # alignment :: Down a -> Int # peekElemOff :: Ptr (Down a) -> Int -> IO (Down a) # pokeElemOff :: Ptr (Down a) -> Int -> Down a -> IO () # peekByteOff :: Ptr b -> Int -> IO (Down a) # pokeByteOff :: Ptr b -> Int -> Down a -> IO () # peek :: Ptr (Down a) -> IO (Down a) # poke :: Ptr (Down a) -> Down a -> IO () #
Generic (Down a) |
Instance details Defined in GHC.Internal.Generics Associated Types
type Rep (Down a) | @since base-4.12.0.0
Instance details Defined in GHC.Internal.Generics type Rep (Down a) = D1 ('MetaData "Down" "GHC.Internal.Data.Ord" "ghc-internal" 'True) (C1 ('MetaCons "Down" 'PrefixI 'True) (S1 ('MetaSel ('Just "getDown") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))
Methods from :: Down a -> Rep (Down a) x # to :: Rep (Down a) x -> Down a #
Ix a => Ix (Down a) | @since base-4.14.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods range :: (Down a, Down a) -> [Down a] # index :: (Down a, Down a) -> Down a -> Int # unsafeIndex :: (Down a, Down a) -> Down a -> Int # inRange :: (Down a, Down a) -> Down a -> Bool # rangeSize :: (Down a, Down a) -> Int # unsafeRangeSize :: (Down a, Down a) -> Int #
Num a => Num (Down a) | @since base-4.11.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods (+) :: Down a -> Down a -> Down a # (-) :: Down a -> Down a -> Down a # (*) :: Down a -> Down a -> Down a # negate :: Down a -> Down a # abs :: Down a -> Down a # signum :: Down a -> Down a # fromInteger :: Integer -> Down a #
Read a => Read (Down a) | This instance would be equivalent to the derived instances of the `Down` newtype if the `getDown` field were removed @since base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods readsPrec :: Int -> ReadS (Down a) # readList :: ReadS [Down a] # readPrec :: ReadPrec (Down a) # readListPrec :: ReadPrec [Down a] #
Fractional a => Fractional (Down a) | @since base-4.14.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods (/) :: Down a -> Down a -> Down a # recip :: Down a -> Down a # fromRational :: Rational -> Down a #
Real a => Real (Down a) | @since base-4.14.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods toRational :: Down a -> Rational #
RealFrac a => RealFrac (Down a) | @since base-4.14.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods properFraction :: Integral b => Down a -> (b, Down a) # truncate :: Integral b => Down a -> b # round :: Integral b => Down a -> b # ceiling :: Integral b => Down a -> b # floor :: Integral b => Down a -> b #
Show a => Show (Down a) | This instance would be equivalent to the derived instances of the `Down` newtype if the `getDown` field were removed @since base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods showsPrec :: Int -> Down a -> ShowS # show :: Down a -> String # showList :: [Down a] -> ShowS #
Eq a => Eq (Down a) | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods (==) :: Down a -> Down a -> Bool # (/=) :: Down a -> Down a -> Bool #
Ord a => Ord (Down a) | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods compare :: Down a -> Down a -> Ordering # (<) :: Down a -> Down a -> Bool # (<=) :: Down a -> Down a -> Bool # (>) :: Down a -> Down a -> Bool # (>=) :: Down a -> Down a -> Bool # max :: Down a -> Down a -> Down a # min :: Down a -> Down a -> Down a #
Unbox a => Unbox (Down a) |
Instance details Defined in Data.Vector.Unboxed.Base
type Rep1 Down | @since base-4.12.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 Down = D1 ('MetaData "Down" "GHC.Internal.Data.Ord" "ghc-internal" 'True) (C1 ('MetaCons "Down" 'PrefixI 'True) (S1 ('MetaSel ('Just "getDown") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
newtype MVector s (Down a) |
Instance details Defined in Data.Vector.Unboxed.Base newtype MVector s (Down a) = MV_Down (MVector s a)
type Rep (Down a) | @since base-4.12.0.0
Instance details Defined in GHC.Internal.Generics type Rep (Down a) = D1 ('MetaData "Down" "GHC.Internal.Data.Ord" "ghc-internal" 'True) (C1 ('MetaCons "Down" 'PrefixI 'True) (S1 ('MetaSel ('Just "getDown") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))
newtype Vector (Down a) |
Instance details Defined in Data.Vector.Unboxed.Base newtype Vector (Down a) = V_Down (Vector a)

## Applicative

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

A functor with application, providing operations to

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

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

    (<*>) = liftA2 id

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

Further, any definition must satisfy the following:

Identity

      pure id <*> v = v

Composition

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

Homomorphism

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

Interchange

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

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

-     u *> v = (id <$ u) <*> v

-     u <* v = liftA2 const u v

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

-     fmap f x = pure f <*> x

It may be useful to note that supposing

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

it follows from the above that

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

If `f` is also a `Monad`, it should satisfy

-     pure = return

-     m1 <*> m2 = m1 >>= (\x1 -> m2 >>= (\x2 -> return (x1 x2)))

-     (*>) = (>>)

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

Minimal complete definition

pure, ((<*>) | liftA2)

Methods

pure :: a -> f a #

Lift a value into the Structure.

#### Examples

Expand

    >>> pure 1 :: Maybe Int
    Just 1

    >>> pure 'z' :: [Char]
    "z"

    >>> pure (pure ":D") :: Maybe [String]
    Just [":D"]

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

Sequential application.

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

#### Example

Expand

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 #

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

Expand

    >>> 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 #

Sequence actions, discarding the value of the first argument.

#### Examples

Expand

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 3
    Just 3

    >>> Nothing *> Just 3
    Nothing

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 #

Sequence actions, discarding the value of the second argument.

#### Instances

Instances details

Applicative Complex | Since: base-4.9.0.0
Instance details Defined in Data.Complex Methods pure :: a -> Complex a # (<*>) :: Complex (a -> b) -> Complex a -> Complex b # liftA2 :: (a -> b -> c) -> Complex a -> Complex b -> Complex c # (*>) :: Complex a -> Complex b -> Complex b # (<*) :: Complex a -> Complex b -> Complex a #
Applicative First | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods pure :: a -> First a # (<*>) :: First (a -> b) -> First a -> First b # liftA2 :: (a -> b -> c) -> First a -> First b -> First c # (*>) :: First a -> First b -> First b # (<*) :: First a -> First b -> First a #
Applicative Last | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods pure :: a -> Last a # (<*>) :: Last (a -> b) -> Last a -> Last b # liftA2 :: (a -> b -> c) -> Last a -> Last b -> Last c # (*>) :: Last a -> Last b -> Last b # (<*) :: Last a -> Last b -> Last a #
Applicative Max | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods pure :: a -> Max a # (<*>) :: Max (a -> b) -> Max a -> Max b # liftA2 :: (a -> b -> c) -> Max a -> Max b -> Max c # (*>) :: Max a -> Max b -> Max b # (<*) :: Max a -> Max b -> Max a #
Applicative Min | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods pure :: a -> Min a # (<*>) :: Min (a -> b) -> Min a -> Min b # liftA2 :: (a -> b -> c) -> Min a -> Min b -> Min c # (*>) :: Min a -> Min b -> Min b # (<*) :: Min a -> Min b -> Min a #
Applicative Put |
Instance details Defined in Data.ByteString.Builder.Internal Methods pure :: a -> Put a # (<*>) :: Put (a -> b) -> Put a -> Put b # liftA2 :: (a -> b -> c) -> Put a -> Put b -> Put c # (*>) :: Put a -> Put b -> Put b # (<*) :: Put a -> Put b -> Put a #
Applicative Seq | Since: containers-0.5.4
Instance details Defined in Data.Sequence.Internal Methods pure :: a -> Seq a # (<*>) :: Seq (a -> b) -> Seq a -> Seq b # liftA2 :: (a -> b -> c) -> Seq a -> Seq b -> Seq c # (*>) :: Seq a -> Seq b -> Seq b # (<*) :: Seq a -> Seq b -> Seq a #
Applicative Tree |
Instance details Defined in Data.Tree Methods pure :: a -> Tree a # (<*>) :: Tree (a -> b) -> Tree a -> Tree b # liftA2 :: (a -> b -> c) -> Tree a -> Tree b -> Tree c # (*>) :: Tree a -> Tree b -> Tree b # (<*) :: Tree a -> Tree b -> Tree a #
Applicative NonEmpty | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods pure :: a -> NonEmpty a # (<*>) :: NonEmpty (a -> b) -> NonEmpty a -> NonEmpty b # liftA2 :: (a -> b -> c) -> NonEmpty a -> NonEmpty b -> NonEmpty c # (*>) :: NonEmpty a -> NonEmpty b -> NonEmpty b # (<*) :: NonEmpty a -> NonEmpty b -> NonEmpty a #
Applicative Down | @since base-4.11.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods pure :: a -> Down a # (<*>) :: Down (a -> b) -> Down a -> Down b # liftA2 :: (a -> b -> c) -> Down a -> Down b -> Down c # (*>) :: Down a -> Down b -> Down b # (<*) :: Down a -> Down b -> Down a #
Applicative Par1 | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods pure :: a -> Par1 a # (<*>) :: Par1 (a -> b) -> Par1 a -> Par1 b # liftA2 :: (a -> b -> c) -> Par1 a -> Par1 b -> Par1 c # (*>) :: Par1 a -> Par1 b -> Par1 b # (<*) :: Par1 a -> Par1 b -> Par1 a #
Applicative P | @since base-4.5.0.0
Instance details Defined in GHC.Internal.Text.ParserCombinators.ReadP Methods pure :: a -> P a # (<*>) :: P (a -> b) -> P a -> P b # liftA2 :: (a -> b -> c) -> P a -> P b -> P c # (*>) :: P a -> P b -> P b # (<*) :: P a -> P b -> P a #
Applicative ReadP | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Text.ParserCombinators.ReadP Methods pure :: a -> ReadP a # (<*>) :: ReadP (a -> b) -> ReadP a -> ReadP b # liftA2 :: (a -> b -> c) -> ReadP a -> ReadP b -> ReadP c # (*>) :: ReadP a -> ReadP b -> ReadP b # (<*) :: ReadP a -> ReadP b -> ReadP a #
Applicative IO | @since base-2.01
Instance details Defined in GHC.Internal.Base Methods pure :: a -> IO a # (<*>) :: IO (a -> b) -> IO a -> IO b # liftA2 :: (a -> b -> c) -> IO a -> IO b -> IO c # (*>) :: IO a -> IO b -> IO b # (<*) :: IO a -> IO b -> IO a #
Applicative Array |
Instance details Defined in Data.Primitive.Array Methods pure :: a -> Array a # (<*>) :: Array (a -> b) -> Array a -> Array b # liftA2 :: (a -> b -> c) -> Array a -> Array b -> Array c # (*>) :: Array a -> Array b -> Array b # (<*) :: Array a -> Array b -> Array a #
Applicative SmallArray |
Instance details Defined in Data.Primitive.SmallArray Methods pure :: a -> SmallArray a # (<*>) :: SmallArray (a -> b) -> SmallArray a -> SmallArray b # liftA2 :: (a -> b -> c) -> SmallArray a -> SmallArray b -> SmallArray c # (*>) :: SmallArray a -> SmallArray b -> SmallArray b # (<*) :: SmallArray a -> SmallArray b -> SmallArray a #
Applicative Vector |
Instance details Defined in Data.Vector Methods pure :: a -> Vector a # (<*>) :: Vector (a -> b) -> Vector a -> Vector b # liftA2 :: (a -> b -> c) -> Vector a -> Vector b -> Vector c # (*>) :: Vector a -> Vector b -> Vector b # (<*) :: Vector a -> Vector b -> Vector a #
Applicative Id |
Instance details Defined in Data.Vector.Fusion.Util Methods pure :: a -> Id a # (<*>) :: Id (a -> b) -> Id a -> Id b # liftA2 :: (a -> b -> c) -> Id a -> Id b -> Id c # (*>) :: Id a -> Id b -> Id b # (<*) :: Id a -> Id b -> Id a #
Applicative Vector |
Instance details Defined in Data.Vector.Strict Methods pure :: a -> Vector a # (<*>) :: Vector (a -> b) -> Vector a -> Vector b # liftA2 :: (a -> b -> c) -> Vector a -> Vector b -> Vector c # (*>) :: Vector a -> Vector b -> Vector b # (<*) :: Vector a -> Vector b -> Vector a #
Applicative Maybe | @since base-2.01
Instance details Defined in GHC.Internal.Base Methods pure :: a -> Maybe a # (<*>) :: Maybe (a -> b) -> Maybe a -> Maybe b # liftA2 :: (a -> b -> c) -> Maybe a -> Maybe b -> Maybe c # (*>) :: Maybe a -> Maybe b -> Maybe b # (<*) :: Maybe a -> Maybe b -> Maybe a #
Applicative Solo | @since base-4.15
Instance details Defined in GHC.Internal.Base Methods pure :: a -> Solo a # (<*>) :: Solo (a -> b) -> Solo a -> Solo b # liftA2 :: (a -> b -> c) -> Solo a -> Solo b -> Solo c # (*>) :: Solo a -> Solo b -> Solo b # (<*) :: Solo a -> Solo b -> Solo a #
Applicative [] | @since base-2.01
Instance details Defined in GHC.Internal.Base Methods pure :: a -> [a] # (<*>) :: [a -> b] -> [a] -> [b] # liftA2 :: (a -> b -> c) -> [a] -> [b] -> [c] # (*>) :: [a] -> [b] -> [b] # (<*) :: [a] -> [b] -> [a] #
Monad m => Applicative (WrappedMonad m) | Since: base-2.1
Instance details Defined in Control.Applicative Methods pure :: a -> WrappedMonad m a # (<*>) :: WrappedMonad m (a -> b) -> WrappedMonad m a -> WrappedMonad m b # liftA2 :: (a -> b -> c) -> WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m c # (*>) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m b # (<*) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m a #
Applicative (SetM s) |
Instance details Defined in Data.Graph Methods pure :: a -> SetM s a # (<*>) :: SetM s (a -> b) -> SetM s a -> SetM s b # liftA2 :: (a -> b -> c) -> SetM s a -> SetM s b -> SetM s c # (*>) :: SetM s a -> SetM s b -> SetM s b # (<*) :: SetM s a -> SetM s b -> SetM s a #
Arrow a => Applicative (ArrowMonad a) | @since base-4.6.0.0
Instance details Defined in GHC.Internal.Control.Arrow Methods pure :: a0 -> ArrowMonad a a0 # (<*>) :: ArrowMonad a (a0 -> b) -> ArrowMonad a a0 -> ArrowMonad a b # liftA2 :: (a0 -> b -> c) -> ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a c # (*>) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a b # (<*) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a a0 #
Applicative (Either e) | @since base-3.0
Instance details Defined in GHC.Internal.Data.Either Methods pure :: a -> Either e a # (<*>) :: Either e (a -> b) -> Either e a -> Either e b # liftA2 :: (a -> b -> c) -> Either e a -> Either e b -> Either e c # (*>) :: Either e a -> Either e b -> Either e b # (<*) :: Either e a -> Either e b -> Either e a #
Applicative (U1 :: Type -> Type) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods pure :: a -> U1 a # (<*>) :: U1 (a -> b) -> U1 a -> U1 b # liftA2 :: (a -> b -> c) -> U1 a -> U1 b -> U1 c # (*>) :: U1 a -> U1 b -> U1 b # (<*) :: U1 a -> U1 b -> U1 a #
Applicative (IParser t) |
Instance details Defined in Data.Text.Internal.Read Methods pure :: a -> IParser t a # (<*>) :: IParser t (a -> b) -> IParser t a -> IParser t b # liftA2 :: (a -> b -> c) -> IParser t a -> IParser t b -> IParser t c # (*>) :: IParser t a -> IParser t b -> IParser t b # (<*) :: IParser t a -> IParser t b -> IParser t a #
Applicative f => Applicative (Lift f) | A combination is `Pure` only if both parts are.
Instance details Defined in Control.Applicative.Lift Methods pure :: a -> Lift f a # (<*>) :: Lift f (a -> b) -> Lift f a -> Lift f b # liftA2 :: (a -> b -> c) -> Lift f a -> Lift f b -> Lift f c # (*>) :: Lift f a -> Lift f b -> Lift f b # (<*) :: Lift f a -> Lift f b -> Lift f a #
(Functor m, Monad m) => Applicative (MaybeT m) |
Instance details Defined in Control.Monad.Trans.Maybe Methods pure :: a -> MaybeT m a # (<*>) :: MaybeT m (a -> b) -> MaybeT m a -> MaybeT m b # liftA2 :: (a -> b -> c) -> MaybeT m a -> MaybeT m b -> MaybeT m c # (*>) :: MaybeT m a -> MaybeT m b -> MaybeT m b # (<*) :: MaybeT m a -> MaybeT m b -> MaybeT m a #
Monoid a => Applicative ((,) a) | For tuples, the `Monoid` constraint on `a` determines how the first values merge. For example, `String`s concatenate:
    ("hello ", (+15)) <*> ("world!", 2002)
    ("hello world!",2017)
@since base-2.01
Instance details Defined in GHC.Internal.Base Methods pure :: a0 -> (a, a0) # (<*>) :: (a, a0 -> b) -> (a, a0) -> (a, b) # liftA2 :: (a0 -> b -> c) -> (a, a0) -> (a, b) -> (a, c) # (*>) :: (a, a0) -> (a, b) -> (a, b) # (<*) :: (a, a0) -> (a, b) -> (a, a0) #
Arrow a => Applicative (WrappedArrow a b) | Since: base-2.1
Instance details Defined in Control.Applicative Methods pure :: a0 -> WrappedArrow a b a0 # (<*>) :: WrappedArrow a b (a0 -> b0) -> WrappedArrow a b a0 -> WrappedArrow a b b0 # liftA2 :: (a0 -> b0 -> c) -> WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b c # (*>) :: WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b b0 # (<*) :: WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b a0 #
(Applicative f, Monad f) => Applicative (WhenMissing f x) | Equivalent to `ReaderT k (ReaderT x (MaybeT f))`. Since: containers-0.5.9
Instance details Defined in Data.IntMap.Internal Methods pure :: a -> WhenMissing f x a # (<*>) :: WhenMissing f x (a -> b) -> WhenMissing f x a -> WhenMissing f x b # liftA2 :: (a -> b -> c) -> WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x c # (*>) :: WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x b # (<*) :: WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x a #
Applicative m => Applicative (Kleisli m a) | @since base-4.14.0.0
Instance details Defined in GHC.Internal.Control.Arrow Methods pure :: a0 -> Kleisli m a a0 # (<*>) :: Kleisli m a (a0 -> b) -> Kleisli m a a0 -> Kleisli m a b # liftA2 :: (a0 -> b -> c) -> Kleisli m a a0 -> Kleisli m a b -> Kleisli m a c # (*>) :: Kleisli m a a0 -> Kleisli m a b -> Kleisli m a b # (<*) :: Kleisli m a a0 -> Kleisli m a b -> Kleisli m a a0 #
(Generic1 f, Applicative (Rep1 f)) => Applicative (Generically1 f) | @since base-4.17.0.0
Instance details Defined in GHC.Internal.Generics Methods pure :: a -> Generically1 f a # (<*>) :: Generically1 f (a -> b) -> Generically1 f a -> Generically1 f b # liftA2 :: (a -> b -> c) -> Generically1 f a -> Generically1 f b -> Generically1 f c # (*>) :: Generically1 f a -> Generically1 f b -> Generically1 f b # (<*) :: Generically1 f a -> Generically1 f b -> Generically1 f a #
Applicative f => Applicative (Rec1 f) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods pure :: a -> Rec1 f a # (<*>) :: Rec1 f (a -> b) -> Rec1 f a -> Rec1 f b # liftA2 :: (a -> b -> c) -> Rec1 f a -> Rec1 f b -> Rec1 f c # (*>) :: Rec1 f a -> Rec1 f b -> Rec1 f b # (<*) :: Rec1 f a -> Rec1 f b -> Rec1 f a #
Applicative f => Applicative (Backwards f) | Apply `f`-actions in the reverse order.
Instance details Defined in Control.Applicative.Backwards Methods pure :: a -> Backwards f a # (<*>) :: Backwards f (a -> b) -> Backwards f a -> Backwards f b # liftA2 :: (a -> b -> c) -> Backwards f a -> Backwards f b -> Backwards f c # (*>) :: Backwards f a -> Backwards f b -> Backwards f b # (<*) :: Backwards f a -> Backwards f b -> Backwards f a #
(Monoid w, Functor m, Monad m) => Applicative (AccumT w m) |
Instance details Defined in Control.Monad.Trans.Accum Methods pure :: a -> AccumT w m a # (<*>) :: AccumT w m (a -> b) -> AccumT w m a -> AccumT w m b # liftA2 :: (a -> b -> c) -> AccumT w m a -> AccumT w m b -> AccumT w m c # (*>) :: AccumT w m a -> AccumT w m b -> AccumT w m b # (<*) :: AccumT w m a -> AccumT w m b -> AccumT w m a #
(Functor m, Monad m) => Applicative (ExceptT e m) |
Instance details Defined in Control.Monad.Trans.Except Methods pure :: a -> ExceptT e m a # (<*>) :: ExceptT e m (a -> b) -> ExceptT e m a -> ExceptT e m b # liftA2 :: (a -> b -> c) -> ExceptT e m a -> ExceptT e m b -> ExceptT e m c # (*>) :: ExceptT e m a -> ExceptT e m b -> ExceptT e m b # (<*) :: ExceptT e m a -> ExceptT e m b -> ExceptT e m a #
Applicative m => Applicative (IdentityT m) |
Instance details Defined in Control.Monad.Trans.Identity Methods pure :: a -> IdentityT m a # (<*>) :: IdentityT m (a -> b) -> IdentityT m a -> IdentityT m b # liftA2 :: (a -> b -> c) -> IdentityT m a -> IdentityT m b -> IdentityT m c # (*>) :: IdentityT m a -> IdentityT m b -> IdentityT m b # (<*) :: IdentityT m a -> IdentityT m b -> IdentityT m a #
Applicative m => Applicative (ReaderT r m) |
Instance details Defined in Control.Monad.Trans.Reader Methods pure :: a -> ReaderT r m a # (<*>) :: ReaderT r m (a -> b) -> ReaderT r m a -> ReaderT r m b # liftA2 :: (a -> b -> c) -> ReaderT r m a -> ReaderT r m b -> ReaderT r m c # (*>) :: ReaderT r m a -> ReaderT r m b -> ReaderT r m b # (<*) :: ReaderT r m a -> ReaderT r m b -> ReaderT r m a #
(Functor m, Monad m) => Applicative (SelectT r m) |
Instance details Defined in Control.Monad.Trans.Select Methods pure :: a -> SelectT r m a # (<*>) :: SelectT r m (a -> b) -> SelectT r m a -> SelectT r m b # liftA2 :: (a -> b -> c) -> SelectT r m a -> SelectT r m b -> SelectT r m c # (*>) :: SelectT r m a -> SelectT r m b -> SelectT r m b # (<*) :: SelectT r m a -> SelectT r m b -> SelectT r m a #
(Functor m, Monad m) => Applicative (StateT s m) |
Instance details Defined in Control.Monad.Trans.State.Lazy Methods pure :: a -> StateT s m a # (<*>) :: StateT s m (a -> b) -> StateT s m a -> StateT s m b # liftA2 :: (a -> b -> c) -> StateT s m a -> StateT s m b -> StateT s m c # (*>) :: StateT s m a -> StateT s m b -> StateT s m b # (<*) :: StateT s m a -> StateT s m b -> StateT s m a #
(Functor m, Monad m) => Applicative (StateT s m) |
Instance details Defined in Control.Monad.Trans.State.Strict Methods pure :: a -> StateT s m a # (<*>) :: StateT s m (a -> b) -> StateT s m a -> StateT s m b # liftA2 :: (a -> b -> c) -> StateT s m a -> StateT s m b -> StateT s m c # (*>) :: StateT s m a -> StateT s m b -> StateT s m b # (<*) :: StateT s m a -> StateT s m b -> StateT s m a #
(Functor m, Monad m) => Applicative (WriterT w m) |
Instance details Defined in Control.Monad.Trans.Writer.CPS Methods pure :: a -> WriterT w m a # (<*>) :: WriterT w m (a -> b) -> WriterT w m a -> WriterT w m b # liftA2 :: (a -> b -> c) -> WriterT w m a -> WriterT w m b -> WriterT w m c # (*>) :: WriterT w m a -> WriterT w m b -> WriterT w m b # (<*) :: WriterT w m a -> WriterT w m b -> WriterT w m a #
(Monoid w, Applicative m) => Applicative (WriterT w m) |
Instance details Defined in Control.Monad.Trans.Writer.Lazy Methods pure :: a -> WriterT w m a # (<*>) :: WriterT w m (a -> b) -> WriterT w m a -> WriterT w m b # liftA2 :: (a -> b -> c) -> WriterT w m a -> WriterT w m b -> WriterT w m c # (*>) :: WriterT w m a -> WriterT w m b -> WriterT w m b # (<*) :: WriterT w m a -> WriterT w m b -> WriterT w m a #
(Monoid w, Applicative m) => Applicative (WriterT w m) |
Instance details Defined in Control.Monad.Trans.Writer.Strict Methods pure :: a -> WriterT w m a # (<*>) :: WriterT w m (a -> b) -> WriterT w m a -> WriterT w m b # liftA2 :: (a -> b -> c) -> WriterT w m a -> WriterT w m b -> WriterT w m c # (*>) :: WriterT w m a -> WriterT w m b -> WriterT w m b # (<*) :: WriterT w m a -> WriterT w m b -> WriterT w m a #
Monoid a => Applicative (Constant a :: Type -> Type) |
Instance details Defined in Data.Functor.Constant Methods pure :: a0 -> Constant a a0 # (<*>) :: Constant a (a0 -> b) -> Constant a a0 -> Constant a b # liftA2 :: (a0 -> b -> c) -> Constant a a0 -> Constant a b -> Constant a c # (*>) :: Constant a a0 -> Constant a b -> Constant a b # (<*) :: Constant a a0 -> Constant a b -> Constant a a0 #
Applicative f => Applicative (Reverse f) | Derived instance.
Instance details Defined in Data.Functor.Reverse Methods pure :: a -> Reverse f a # (<*>) :: Reverse f (a -> b) -> Reverse f a -> Reverse f b # liftA2 :: (a -> b -> c) -> Reverse f a -> Reverse f b -> Reverse f c # (*>) :: Reverse f a -> Reverse f b -> Reverse f b # (<*) :: Reverse f a -> Reverse f b -> Reverse f a #
(Monoid a, Monoid b) => Applicative ((,,) a b) | @since base-4.14.0.0
Instance details Defined in GHC.Internal.Base Methods pure :: a0 -> (a, b, a0) # (<*>) :: (a, b, a0 -> b0) -> (a, b, a0) -> (a, b, b0) # liftA2 :: (a0 -> b0 -> c) -> (a, b, a0) -> (a, b, b0) -> (a, b, c) # (*>) :: (a, b, a0) -> (a, b, b0) -> (a, b, b0) # (<*) :: (a, b, a0) -> (a, b, b0) -> (a, b, a0) #
(Applicative f, Applicative g) => Applicative (Product f g) | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Product Methods pure :: a -> Product f g a # (<*>) :: Product f g (a -> b) -> Product f g a -> Product f g b # liftA2 :: (a -> b -> c) -> Product f g a -> Product f g b -> Product f g c # (*>) :: Product f g a -> Product f g b -> Product f g b # (<*) :: Product f g a -> Product f g b -> Product f g a #
(Monad f, Applicative f) => Applicative (WhenMatched f x y) | Equivalent to `ReaderT Key (ReaderT x (ReaderT y (MaybeT f)))` Since: containers-0.5.9
Instance details Defined in Data.IntMap.Internal Methods pure :: a -> WhenMatched f x y a # (<*>) :: WhenMatched f x y (a -> b) -> WhenMatched f x y a -> WhenMatched f x y b # liftA2 :: (a -> b -> c) -> WhenMatched f x y a -> WhenMatched f x y b -> WhenMatched f x y c # (*>) :: WhenMatched f x y a -> WhenMatched f x y b -> WhenMatched f x y b # (<*) :: WhenMatched f x y a -> WhenMatched f x y b -> WhenMatched f x y a #
(Applicative f, Monad f) => Applicative (WhenMissing f k x) | Equivalent to `ReaderT k (ReaderT x (MaybeT f))` . Since: containers-0.5.9
Instance details Defined in Data.Map.Internal Methods pure :: a -> WhenMissing f k x a # (<*>) :: WhenMissing f k x (a -> b) -> WhenMissing f k x a -> WhenMissing f k x b # liftA2 :: (a -> b -> c) -> WhenMissing f k x a -> WhenMissing f k x b -> WhenMissing f k x c # (*>) :: WhenMissing f k x a -> WhenMissing f k x b -> WhenMissing f k x b # (<*) :: WhenMissing f k x a -> WhenMissing f k x b -> WhenMissing f k x a #
(Applicative f, Applicative g) => Applicative (f :*: g) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods pure :: a -> (f :*: g) a # (<*>) :: (f :*: g) (a -> b) -> (f :*: g) a -> (f :*: g) b # liftA2 :: (a -> b -> c) -> (f :*: g) a -> (f :*: g) b -> (f :*: g) c # (*>) :: (f :*: g) a -> (f :*: g) b -> (f :*: g) b # (<*) :: (f :*: g) a -> (f :*: g) b -> (f :*: g) a #
Monoid c => Applicative (K1 i c :: Type -> Type) | @since base-4.12.0.0
Instance details Defined in GHC.Internal.Generics Methods pure :: a -> K1 i c a # (<*>) :: K1 i c (a -> b) -> K1 i c a -> K1 i c b # liftA2 :: (a -> b -> c0) -> K1 i c a -> K1 i c b -> K1 i c c0 # (*>) :: K1 i c a -> K1 i c b -> K1 i c b # (<*) :: K1 i c a -> K1 i c b -> K1 i c a #
Applicative (ContT r m) |
Instance details Defined in Control.Monad.Trans.Cont Methods pure :: a -> ContT r m a # (<*>) :: ContT r m (a -> b) -> ContT r m a -> ContT r m b # liftA2 :: (a -> b -> c) -> ContT r m a -> ContT r m b -> ContT r m c # (*>) :: ContT r m a -> ContT r m b -> ContT r m b # (<*) :: ContT r m a -> ContT r m b -> ContT r m a #
(Monoid a, Monoid b, Monoid c) => Applicative ((,,,) a b c) | @since base-4.14.0.0
Instance details Defined in GHC.Internal.Base Methods pure :: a0 -> (a, b, c, a0) # (<*>) :: (a, b, c, a0 -> b0) -> (a, b, c, a0) -> (a, b, c, b0) # liftA2 :: (a0 -> b0 -> c0) -> (a, b, c, a0) -> (a, b, c, b0) -> (a, b, c, c0) # (*>) :: (a, b, c, a0) -> (a, b, c, b0) -> (a, b, c, b0) # (<*) :: (a, b, c, a0) -> (a, b, c, b0) -> (a, b, c, a0) #
Applicative ((->) r) | @since base-2.01
Instance details Defined in GHC.Internal.Base Methods pure :: a -> r -> a # (<*>) :: (r -> (a -> b)) -> (r -> a) -> r -> b # liftA2 :: (a -> b -> c) -> (r -> a) -> (r -> b) -> r -> c # (*>) :: (r -> a) -> (r -> b) -> r -> b # (<*) :: (r -> a) -> (r -> b) -> r -> a #
(Applicative f, Applicative g) => Applicative (Compose f g) | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Compose Methods pure :: a -> Compose f g a # (<*>) :: Compose f g (a -> b) -> Compose f g a -> Compose f g b # liftA2 :: (a -> b -> c) -> Compose f g a -> Compose f g b -> Compose f g c # (*>) :: Compose f g a -> Compose f g b -> Compose f g b # (<*) :: Compose f g a -> Compose f g b -> Compose f g a #
(Monad f, Applicative f) => Applicative (WhenMatched f k x y) | Equivalent to `ReaderT k (ReaderT x (ReaderT y (MaybeT f)))` Since: containers-0.5.9
Instance details Defined in Data.Map.Internal Methods pure :: a -> WhenMatched f k x y a # (<*>) :: WhenMatched f k x y (a -> b) -> WhenMatched f k x y a -> WhenMatched f k x y b # liftA2 :: (a -> b -> c) -> WhenMatched f k x y a -> WhenMatched f k x y b -> WhenMatched f k x y c # (*>) :: WhenMatched f k x y a -> WhenMatched f k x y b -> WhenMatched f k x y b # (<*) :: WhenMatched f k x y a -> WhenMatched f k x y b -> WhenMatched f k x y a #
(Applicative f, Applicative g) => Applicative (f :.: g) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods pure :: a -> (f :.: g) a # (<*>) :: (f :.: g) (a -> b) -> (f :.: g) a -> (f :.: g) b # liftA2 :: (a -> b -> c) -> (f :.: g) a -> (f :.: g) b -> (f :.: g) c # (*>) :: (f :.: g) a -> (f :.: g) b -> (f :.: g) b # (<*) :: (f :.: g) a -> (f :.: g) b -> (f :.: g) a #
Applicative f => Applicative (M1 i c f) | @since base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods pure :: a -> M1 i c f a # (<*>) :: M1 i c f (a -> b) -> M1 i c f a -> M1 i c f b # liftA2 :: (a -> b -> c0) -> M1 i c f a -> M1 i c f b -> M1 i c f c0 # (*>) :: M1 i c f a -> M1 i c f b -> M1 i c f b # (<*) :: M1 i c f a -> M1 i c f b -> M1 i c f a #
(Functor m, Monad m) => Applicative (RWST r w s m) |
Instance details Defined in Control.Monad.Trans.RWS.CPS Methods pure :: a -> RWST r w s m a # (<*>) :: RWST r w s m (a -> b) -> RWST r w s m a -> RWST r w s m b # liftA2 :: (a -> b -> c) -> RWST r w s m a -> RWST r w s m b -> RWST r w s m c # (*>) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m b # (<*) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m a #
(Monoid w, Functor m, Monad m) => Applicative (RWST r w s m) |
Instance details Defined in Control.Monad.Trans.RWS.Lazy Methods pure :: a -> RWST r w s m a # (<*>) :: RWST r w s m (a -> b) -> RWST r w s m a -> RWST r w s m b # liftA2 :: (a -> b -> c) -> RWST r w s m a -> RWST r w s m b -> RWST r w s m c # (*>) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m b # (<*) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m a #
(Monoid w, Functor m, Monad m) => Applicative (RWST r w s m) |
Instance details Defined in Control.Monad.Trans.RWS.Strict Methods pure :: a -> RWST r w s m a # (<*>) :: RWST r w s m (a -> b) -> RWST r w s m a -> RWST r w s m b # liftA2 :: (a -> b -> c) -> RWST r w s m a -> RWST r w s m b -> RWST r w s m c # (*>) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m b # (<*) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m a #

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

An infix synonym for `fmap`.

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

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

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

#### Examples

Expand

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

    >>> show <$> Nothing
    Nothing

    >>> show <$> Just 3
    Just "3"

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

    >>> show <$> Left 17
    Left 17

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

Double each element of a list:

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

Apply `even` to the second element of a pair:

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

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

An associative binary operation

## Monad

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

Left-to-right composition of `Kleisli` arrows.

'`(bs `>=>` cs) a`' can be understood as the `do` expression

    do b <- bs a
       cs b

or in terms of ``(>>=)`` as

    bs a >>= cs

## Transformers

lift :: (MonadTrans t, Monad m) => m a -> t m a #

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

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

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

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

-     liftIO . return = return

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

Minimal complete definition

liftIO

#### Instances

Instances details

MonadIO IO | Since: base-4.9.0.0
Instance details Defined in Control.Monad.IO.Class Methods liftIO :: IO a -> IO a #
MonadIO m => MonadIO (MaybeT m) |
Instance details Defined in Control.Monad.Trans.Maybe Methods liftIO :: IO a -> MaybeT m a #
(Monoid w, Functor m, MonadIO m) => MonadIO (AccumT w m) |
Instance details Defined in Control.Monad.Trans.Accum Methods liftIO :: IO a -> AccumT w m a #
MonadIO m => MonadIO (ExceptT e m) |
Instance details Defined in Control.Monad.Trans.Except Methods liftIO :: IO a -> ExceptT e m a #
MonadIO m => MonadIO (IdentityT m) |
Instance details Defined in Control.Monad.Trans.Identity Methods liftIO :: IO a -> IdentityT m a #
MonadIO m => MonadIO (ReaderT r m) |
Instance details Defined in Control.Monad.Trans.Reader Methods liftIO :: IO a -> ReaderT r m a #
MonadIO m => MonadIO (SelectT r m) |
Instance details Defined in Control.Monad.Trans.Select Methods liftIO :: IO a -> SelectT r m a #
MonadIO m => MonadIO (StateT s m) |
Instance details Defined in Control.Monad.Trans.State.Lazy Methods liftIO :: IO a -> StateT s m a #
MonadIO m => MonadIO (StateT s m) |
Instance details Defined in Control.Monad.Trans.State.Strict Methods liftIO :: IO a -> StateT s m a #
MonadIO m => MonadIO (WriterT w m) |
Instance details Defined in Control.Monad.Trans.Writer.CPS Methods liftIO :: IO a -> WriterT w m a #
(Monoid w, MonadIO m) => MonadIO (WriterT w m) |
Instance details Defined in Control.Monad.Trans.Writer.Lazy Methods liftIO :: IO a -> WriterT w m a #
(Monoid w, MonadIO m) => MonadIO (WriterT w m) |
Instance details Defined in Control.Monad.Trans.Writer.Strict Methods liftIO :: IO a -> WriterT w m a #
MonadIO m => MonadIO (ContT r m) |
Instance details Defined in Control.Monad.Trans.Cont Methods liftIO :: IO a -> ContT r m a #
MonadIO m => MonadIO (RWST r w s m) |
Instance details Defined in Control.Monad.Trans.RWS.CPS Methods liftIO :: IO a -> RWST r w s m a #
(Monoid w, MonadIO m) => MonadIO (RWST r w s m) |
Instance details Defined in Control.Monad.Trans.RWS.Lazy Methods liftIO :: IO a -> RWST r w s m a #
(Monoid w, MonadIO m) => MonadIO (RWST r w s m) |
Instance details Defined in Control.Monad.Trans.RWS.Strict Methods liftIO :: IO a -> RWST r w s m a #

liftIO :: MonadIO m => IO a -> m a #

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

Expand

    import Control.Monad.Trans.State -- from the "transformers" library

    printState :: Show s => StateT s IO ()
    printState = do
      state <- get
      liftIO $ print state

Had we omitted ``liftIO``, we would have ended up with this error:

    • Couldn't match type ‘IO’ with ‘StateT s IO’
     Expected type: StateT s IO ()
       Actual type: IO ()

The important part here is the mismatch between `StateT s IO ()` and ``IO` ()`.

Luckily, we know of a function that takes an ``IO` a` and returns an `(m a)`: ``liftIO``, enabling us to run the program and see the expected results:

    > evalStateT printState "hello"
    "hello"

    > evalStateT printState 3
    3

## Exceptions

class (Typeable e, Show e) => Exception e where #

Any type that you wish to throw or catch as an exception must be an instance of the `Exception` class. The simplest case is a new exception type directly below the root:

    data MyException = ThisException | ThatException
        deriving Show

    instance Exception MyException

The default method definitions in the `Exception` class do what we need in this case. You can now throw and catch `ThisException` and `ThatException` as exceptions:

    *Main> throw ThisException `catch` \e -> putStrLn ("Caught " ++ show (e :: MyException))
    Caught ThisException

In more complicated examples, you may wish to define a whole hierarchy of exceptions:

    ---------------------------------------------------------------------
    -- Make the root exception type for all the exceptions in a compiler

    data SomeCompilerException = forall e . Exception e => SomeCompilerException e

    instance Show SomeCompilerException where
        show (SomeCompilerException e) = show e

    instance Exception SomeCompilerException

    compilerExceptionToException :: Exception e => e -> SomeException
    compilerExceptionToException = toException . SomeCompilerException

    compilerExceptionFromException :: Exception e => SomeException -> Maybe e
    compilerExceptionFromException x = do
        SomeCompilerException a <- fromException x
        cast a

    ---------------------------------------------------------------------
    -- Make a subhierarchy for exceptions in the frontend of the compiler

    data SomeFrontendException = forall e . Exception e => SomeFrontendException e

    instance Show SomeFrontendException where
        show (SomeFrontendException e) = show e

    instance Exception SomeFrontendException where
        toException = compilerExceptionToException
        fromException = compilerExceptionFromException

    frontendExceptionToException :: Exception e => e -> SomeException
    frontendExceptionToException = toException . SomeFrontendException

    frontendExceptionFromException :: Exception e => SomeException -> Maybe e
    frontendExceptionFromException x = do
        SomeFrontendException a <- fromException x
        cast a

    ---------------------------------------------------------------------
    -- Make an exception type for a particular frontend compiler exception

    data MismatchedParentheses = MismatchedParentheses
        deriving Show

    instance Exception MismatchedParentheses where
        toException   = frontendExceptionToException
        fromException = frontendExceptionFromException

We can now catch a `MismatchedParentheses` exception as `MismatchedParentheses`, `SomeFrontendException` or `SomeCompilerException`, but not other types, e.g. `IOException`:

    *Main> throw MismatchedParentheses `catch` \e -> putStrLn ("Caught " ++ show (e :: MismatchedParentheses))
    Caught MismatchedParentheses
    *Main> throw MismatchedParentheses `catch` \e -> putStrLn ("Caught " ++ show (e :: SomeFrontendException))
    Caught MismatchedParentheses
    *Main> throw MismatchedParentheses `catch` \e -> putStrLn ("Caught " ++ show (e :: SomeCompilerException))
    Caught MismatchedParentheses
    *Main> throw MismatchedParentheses `catch` \e -> putStrLn ("Caught " ++ show (e :: IOException))
    *** Exception: MismatchedParentheses

Minimal complete definition

Nothing

Methods

toException :: e -> SomeException #

`toException` should produce a `SomeException` with no attached `ExceptionContext`.

fromException :: SomeException -> Maybe e #

displayException :: e -> String #

Render this exception value in a human-friendly manner.

Default implementation: ``show``.

@since base-4.8.0.0

backtraceDesired :: e -> Bool #

#### Instances

Instances details

Exception Timeout | Since: base-4.7.0.0
Instance details Defined in System.Timeout Methods toException :: Timeout -> SomeException # fromException :: SomeException -> Maybe Timeout # displayException :: Timeout -> String # backtraceDesired :: Timeout -> Bool #
Exception SizeOverflowException |
Instance details Defined in Data.ByteString.Internal.Type Methods toException :: SizeOverflowException -> SomeException # fromException :: SomeException -> Maybe SizeOverflowException # displayException :: SizeOverflowException -> String # backtraceDesired :: SizeOverflowException -> Bool #
Exception Void | @since base-4.8.0.0
Instance details Defined in GHC.Internal.Exception.Type Methods toException :: Void -> SomeException # fromException :: SomeException -> Maybe Void # displayException :: Void -> String # backtraceDesired :: Void -> Bool #
Exception ArithException | @since base-4.0.0.0
Instance details Defined in GHC.Internal.Exception.Type Methods toException :: ArithException -> SomeException # fromException :: SomeException -> Maybe ArithException # displayException :: ArithException -> String # backtraceDesired :: ArithException -> Bool #
Exception SomeException | This drops any attached `ExceptionContext`. @since base-3.0
Instance details Defined in GHC.Internal.Exception.Type Methods toException :: SomeException -> SomeException # fromException :: SomeException -> Maybe SomeException # displayException :: SomeException -> String # backtraceDesired :: SomeException -> Bool #
Exception AllocationLimitExceeded | @since base-4.8.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods toException :: AllocationLimitExceeded -> SomeException # fromException :: SomeException -> Maybe AllocationLimitExceeded # displayException :: AllocationLimitExceeded -> String # backtraceDesired :: AllocationLimitExceeded -> Bool #
Exception ArrayException | @since base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods toException :: ArrayException -> SomeException # fromException :: SomeException -> Maybe ArrayException # displayException :: ArrayException -> String # backtraceDesired :: ArrayException -> Bool #
Exception AssertionFailed | @since base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods toException :: AssertionFailed -> SomeException # fromException :: SomeException -> Maybe AssertionFailed # displayException :: AssertionFailed -> String # backtraceDesired :: AssertionFailed -> Bool #
Exception AsyncException | @since base-4.7.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods toException :: AsyncException -> SomeException # fromException :: SomeException -> Maybe AsyncException # displayException :: AsyncException -> String # backtraceDesired :: AsyncException -> Bool #
Exception BlockedIndefinitelyOnMVar | @since base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods toException :: BlockedIndefinitelyOnMVar -> SomeException # fromException :: SomeException -> Maybe BlockedIndefinitelyOnMVar # displayException :: BlockedIndefinitelyOnMVar -> String # backtraceDesired :: BlockedIndefinitelyOnMVar -> Bool #
Exception BlockedIndefinitelyOnSTM | @since base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods toException :: BlockedIndefinitelyOnSTM -> SomeException # fromException :: SomeException -> Maybe BlockedIndefinitelyOnSTM # displayException :: BlockedIndefinitelyOnSTM -> String # backtraceDesired :: BlockedIndefinitelyOnSTM -> Bool #
Exception CompactionFailed | @since base-4.10.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods toException :: CompactionFailed -> SomeException # fromException :: SomeException -> Maybe CompactionFailed # displayException :: CompactionFailed -> String # backtraceDesired :: CompactionFailed -> Bool #
Exception Deadlock | @since base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods toException :: Deadlock -> SomeException # fromException :: SomeException -> Maybe Deadlock # displayException :: Deadlock -> String # backtraceDesired :: Deadlock -> Bool #
Exception ExitCode | @since base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods toException :: ExitCode -> SomeException # fromException :: SomeException -> Maybe ExitCode # displayException :: ExitCode -> String # backtraceDesired :: ExitCode -> Bool #
Exception FixIOException | @since base-4.11.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods toException :: FixIOException -> SomeException # fromException :: SomeException -> Maybe FixIOException # displayException :: FixIOException -> String # backtraceDesired :: FixIOException -> Bool #
Exception IOException | @since base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods toException :: IOException -> SomeException # fromException :: SomeException -> Maybe IOException # displayException :: IOException -> String # backtraceDesired :: IOException -> Bool #
Exception SomeAsyncException | @since base-4.7.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods toException :: SomeAsyncException -> SomeException # fromException :: SomeException -> Maybe SomeAsyncException # displayException :: SomeAsyncException -> String # backtraceDesired :: SomeAsyncException -> Bool #
Exception UnicodeException |
Instance details Defined in Data.Text.Encoding.Error Methods toException :: UnicodeException -> SomeException # fromException :: SomeException -> Maybe UnicodeException # displayException :: UnicodeException -> String # backtraceDesired :: UnicodeException -> Bool #
Exception a => Exception (ExceptionWithContext a) |
Instance details Defined in GHC.Internal.Exception.Type Methods toException :: ExceptionWithContext a -> SomeException # fromException :: SomeException -> Maybe (ExceptionWithContext a) # displayException :: ExceptionWithContext a -> String # backtraceDesired :: ExceptionWithContext a -> Bool #
Exception e => Exception (NoBacktrace e) |
Instance details Defined in GHC.Internal.Exception.Type Methods toException :: NoBacktrace e -> SomeException # fromException :: SomeException -> Maybe (NoBacktrace e) # displayException :: NoBacktrace e -> String # backtraceDesired :: NoBacktrace e -> Bool #

class Typeable (a :: k) #

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

Minimal complete definition

typeRep#

data SomeException #

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

Instances details

Exception SomeException | This drops any attached `ExceptionContext`. @since base-3.0
Instance details Defined in GHC.Internal.Exception.Type Methods toException :: SomeException -> SomeException # fromException :: SomeException -> Maybe SomeException # displayException :: SomeException -> String # backtraceDesired :: SomeException -> Bool #
Show SomeException | Since: ghc-internal-3.0
Instance details Defined in GHC.Internal.Exception.Type Methods showsPrec :: Int -> SomeException -> ShowS # show :: SomeException -> String # showList :: [SomeException] -> ShowS #

data IOException #

Exceptions that occur in the `IO` monad. An `IOException` records a more specific error type, a descriptive string and maybe the handle that was used when the error was flagged.

#### Instances

Instances details

Exception IOException | @since base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods toException :: IOException -> SomeException # fromException :: SomeException -> Maybe IOException # displayException :: IOException -> String # backtraceDesired :: IOException -> Bool #
Show IOException | @since base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods showsPrec :: Int -> IOException -> ShowS # show :: IOException -> String # showList :: [IOException] -> ShowS #
Eq IOException | @since base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods (==) :: IOException -> IOException -> Bool # (/=) :: IOException -> IOException -> Bool #

module System.IO.Error

## Files

type FilePath = String #

File and directory names are values of type `String`, whose precise meaning is operating system dependent. Files can be opened, yielding a handle which can then be used to operate on the contents of that file.

(</>) :: FilePath -> FilePath -> FilePath infixr 5 #

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 `</>` file)` will access the same file as `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` x

Combined:

    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 #

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

type String = [Char] #

`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

Expand

`[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 #

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 #

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

The general contract of `hashWithSalt` is:

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