base-prelude-1.6.1.1: Featureful preludes formed solely from the "base" package

Safe Haskell | None
Language | Haskell2010

BasePrelude

Description

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

For details check out the source.

Synopsis

- module Control.Applicative
- module Control.Category
- module Control.Concurrent
- module Control.Exception
- module Control.Monad
- module Control.Monad.Fail
- module Control.Monad.Fix
- module Control.Monad.IO.Class
- module Control.Monad.ST
- module Data.Bifunctor
- module Data.Bits
- module Data.Bool
- module Data.Char
- module Data.Coerce
- module Data.Complex
- module Data.Data
- module Data.Dynamic
- module Data.Either
- module Data.Fixed
- module Data.Functor.Classes
- module Data.Functor.Compose
- module Data.Functor.Contravariant
- module Data.Functor.Identity
- module Data.IORef
- module Data.Int
- module Data.Ix
- module Data.List
- module Data.Maybe
- module Data.Ord
- module Data.Proxy
- module Data.Ratio
- module Data.STRef
- module Data.Semigroup
- module Data.String
- module Data.Traversable
- module Data.Tuple
- module Data.Unique
- module Data.Version
- module Data.Void
- module Data.Word
- module Debug.Trace
- module Foreign.ForeignPtr
- module Foreign.Ptr
- module Foreign.StablePtr
- module Foreign.Storable
- module GHC.IO.Exception
- module GHC.OverloadedLabels
- module GHC.Records
- module Numeric
- module Numeric.Natural
- module System.Environment
- module System.Exit
- module System.IO
- module System.IO.Error
- module System.IO.Unsafe
- module System.Mem
- module System.Mem.StableName
- module System.Timeout
- module Unsafe.Coerce
- class Category a => Arrow (a :: Type -> Type -> Type) where
  - arr :: (b -> c) -> a b c
  - (***) :: a b c -> a b' c' -> a (b, b') (c, c')
  - (&&&) :: a b c -> a b c' -> a b (c, c')
- const :: a -> b -> a
- closeFdWith :: (Fd -> IO ()) -> Fd -> IO ()
- class Foldable (t :: Type -> Type) where
  - fold :: Monoid m => t m -> m
  - foldMap :: Monoid m => (a -> m) -> t a -> m
  - foldMap' :: Monoid m => (a -> m) -> t a -> m
  - foldr' :: (a -> b -> b) -> b -> t a -> b
- seq :: a -> b -> b
- lazy :: a -> a
- inline :: a -> a
- ($) :: (a -> b) -> a -> b
- 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 => Fractional a where
  - (/) :: a -> a -> a
  - recip :: a -> a
  - fromRational :: Rational -> a
- class Enum a where
  - succ :: a -> a
  - pred :: a -> a
  - toEnum :: Int -> a
  - fromEnum :: a -> Int
  - enumFrom :: a -> [a]
  - enumFromThen :: a -> a -> [a]
  - enumFromTo :: a -> a -> [a]
  - enumFromThenTo :: a -> a -> a -> [a]
- class Eq a where
  - (==) :: a -> a -> Bool
  - (/=) :: a -> a -> Bool
- class Arrow a => ArrowApply (a :: Type -> Type -> Type) where
  - app :: a (a b c, b) c
- class Arrow a => ArrowChoice (a :: Type -> Type -> Type) where
  - left :: a b c -> a (Either b d) (Either c d)
  - right :: a b c -> a (Either d b) (Either d c)
  - (+++) :: a b c -> a b' c' -> a (Either b b') (Either c c')
  - (|||) :: a b d -> a c d -> a (Either b c) d
- class Arrow a => ArrowLoop (a :: Type -> Type -> Type) where
  - loop :: a (b, d) (c, d) -> a b c
- fromIntegral :: (Integral a, Num b) => a -> b
- realToFrac :: (Real a, Fractional b) => a -> b
- 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, Ord a) => Real a where
  - toRational :: a -> Rational
- class IsList l where
  - type Item l
  - fromList :: [Item l] -> l
  - fromListN :: Int -> [Item l] -> l
  - toList :: l -> [Item l]
- class Semigroup a => Monoid a where
  - mempty :: a
  - mappend :: a -> a -> a
  - mconcat :: [a] -> a
- class Bounded a where
  - minBound :: a
  - maxBound :: a
- class Read a where
  - readsPrec :: Int -> ReadS a
  - readList :: ReadS [a]
  - readPrec :: ReadPrec a
  - readListPrec :: ReadPrec [a]
- class (RealFrac a, Floating a) => RealFloat a where
  - floatRadix :: a -> Integer
  - floatDigits :: a -> Int
  - floatRange :: a -> (Int, Int)
  - decodeFloat :: a -> (Integer, Int)
  - encodeFloat :: Integer -> Int -> a
  - exponent :: a -> Int
  - significand :: a -> a
  - scaleFloat :: Int -> a -> a
  - isNaN :: a -> Bool
  - isInfinite :: a -> Bool
  - isDenormalized :: a -> Bool
  - isNegativeZero :: a -> Bool
  - isIEEE :: a -> Bool
  - atan2 :: a -> a -> a
- class (Real a, Fractional a) => RealFrac a where
  - properFraction :: Integral b => a -> (b, a)
  - truncate :: Integral b => a -> b
  - round :: Integral b => a -> b
  - ceiling :: Integral b => a -> b
  - floor :: Integral b => a -> b
- class Show a where
  - showsPrec :: Int -> a -> ShowS
  - show :: a -> String
  - showList :: [a] -> ShowS
- class Generic a
- class Generic1 (f :: k -> Type)
- data Double
- data Float
- data Integer
- class a ~# b => (a :: k) ~ (b :: k)
- data NonEmpty a = a :| [a]
- (^) :: (Num a, Integral b) => a -> b -> a
- error :: HasCallStack => [Char] -> a
- errorWithoutStackTrace :: [Char] -> a
- undefined :: HasCallStack => a
- flip :: (a -> b -> c) -> b -> a -> c
- ($!) :: (a -> b) -> a -> b
- until :: (a -> Bool) -> (a -> a) -> a -> a
- asTypeOf :: a -> a -> a
- subtract :: Num a => a -> a -> a
- type ShowS = String -> String
- shows :: Show a => a -> ShowS
- showChar :: Char -> ShowS
- showString :: String -> ShowS
- showParen :: Bool -> ShowS -> ShowS
- even :: Integral a => a -> Bool
- odd :: Integral a => a -> Bool
- (^^) :: (Fractional a, Integral b) => a -> b -> a
- gcd :: Integral a => a -> a -> a
- lcm :: Integral a => a -> a -> a
- (<&>) :: Functor f => f a -> (a -> b) -> f b
- ($>) :: Functor f => f a -> b -> f b
- on :: (b -> b -> c) -> (a -> b) -> a -> a -> c
- (&) :: a -> (a -> b) -> b
- applyWhen :: Bool -> (a -> a) -> a -> a
- data ReadP a
- type ReadS a = String -> [(a, String)]
- readP_to_S :: ReadP a -> ReadS a
- readS_to_P :: ReadS a -> ReadP a
- lex :: ReadS String
- data ReadPrec a
- readPrec_to_P :: ReadPrec a -> Int -> ReadP a
- readP_to_Prec :: (Int -> ReadP a) -> ReadPrec a
- readPrec_to_S :: ReadPrec a -> Int -> ReadS a
- readS_to_Prec :: (Int -> ReadS a) -> ReadPrec a
- readParen :: Bool -> ReadS a -> ReadS a
- data ThreadStatus
  - = ThreadRunning
  - | ThreadFinished
  - | ThreadBlocked BlockReason
  - | ThreadDied
- data BlockReason
  - = BlockedOnMVar
  - | BlockedOnBlackHole
  - | BlockedOnException
  - | BlockedOnSTM
  - | BlockedOnForeignCall
  - | BlockedOnOther
- data TVar a = TVar (TVar# RealWorld a)
- pattern ThreadId :: ThreadId# -> ThreadId
- threadStatus :: ThreadId -> IO ThreadStatus
- data PrimMVar
- newStablePtrPrimMVar :: MVar a -> IO (StablePtr PrimMVar)
- reads :: Read a => ReadS a
- readEither :: Read a => String -> Either String a
- readMaybe :: Read a => String -> Maybe a
- read :: Read a => String -> a
- newtype Alt (f :: k -> Type) (a :: k) = Alt {
  - getAlt :: f a
  }
- newtype Ap (f :: k -> Type) (a :: k) = Ap {
  - getAp :: f a
  }
- foldrM :: (Foldable t, Monad m) => (a -> b -> m b) -> b -> t a -> m b
- foldlM :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m b
- traverse_ :: (Foldable t, Applicative f) => (a -> f b) -> t a -> f ()
- for_ :: (Foldable t, Applicative f) => t a -> (a -> f b) -> f ()
- sequenceA_ :: (Foldable t, Applicative f) => t (f a) -> f ()
- newtype STM a = STM (State# RealWorld -> (# State# RealWorld, a #))
- reportHeapOverflow :: IO ()
- numCapabilities :: Int
- getNumProcessors :: IO Int
- numSparks :: IO Int
- childHandler :: SomeException -> IO ()
- labelThread :: ThreadId -> String -> IO ()
- pseq :: a -> b -> b
- par :: a -> b -> b
- runSparks :: IO ()
- listThreads :: IO [ThreadId]
- unsafeIOToSTM :: IO a -> STM a
- atomically :: STM a -> IO a
- retry :: STM a
- throwSTM :: Exception e => e -> STM a
- catchSTM :: Exception e => STM a -> (e -> STM a) -> STM a
- newTVar :: a -> STM (TVar a)
- newTVarIO :: a -> IO (TVar a)
- readTVarIO :: TVar a -> IO a
- readTVar :: TVar a -> STM a
- writeTVar :: TVar a -> a -> STM ()
- reportStackOverflow :: IO ()
- reportError :: SomeException -> IO ()
- setUncaughtExceptionHandler :: (SomeException -> IO ()) -> IO ()
- getUncaughtExceptionHandler :: IO (SomeException -> IO ())
- type HandlerFun = ForeignPtr Word8 -> IO ()
- type Signal = CInt
- setHandler :: Signal -> Maybe (HandlerFun, Dynamic) -> IO (Maybe (HandlerFun, Dynamic))
- runHandlers :: ForeignPtr Word8 -> Signal -> IO ()
- ensureIOManagerIsRunning :: IO ()
- ioManagerCapabilitiesChanged :: IO ()
- registerDelay :: Int -> IO (TVar Bool)
- type family Item l
- sortWith :: Ord b => (a -> b) -> [a] -> [a]
- groupWith :: Ord b => (a -> b) -> [a] -> [[a]]
- newtype ArrowMonad (a :: Type -> Type -> Type) b = ArrowMonad (a () b)
- class ArrowZero a => ArrowPlus (a :: Type -> Type -> Type) where
  - (<+>) :: a b c -> a b c -> a b c
- class Arrow a => ArrowZero (a :: Type -> Type -> Type) where
  - zeroArrow :: a b c
- newtype Kleisli (m :: Type -> Type) a b = Kleisli {
  - runKleisli :: a -> m b
  }
- returnA :: Arrow a => a b b
- (^>>) :: Arrow a => (b -> c) -> a c d -> a b d
- (>>^) :: Arrow a => a b c -> (c -> d) -> a b d
- (<<^) :: Arrow a => a c d -> (b -> c) -> a b d
- (^<<) :: Arrow a => (c -> d) -> a b c -> a b d
- leftApp :: ArrowApply a => a b c -> a (Either b d) (Either c d)
- printf :: PrintfType r => String -> r
- hPrintf :: HPrintfType r => Handle -> String -> r

# Documentation

module Control.Applicative

module Control.Category

module Control.Concurrent

module Control.Exception

module Control.Monad

module Control.Monad.Fail

module Control.Monad.Fix

module Control.Monad.IO.Class

module Control.Monad.ST

module Data.Bifunctor

module Data.Bits

module Data.Bool

module Data.Char

module Data.Coerce

module Data.Complex

module Data.Data

module Data.Dynamic

module Data.Either

module Data.Fixed

module Data.Functor.Classes

module Data.Functor.Compose

module Data.Functor.Contravariant

module Data.Functor.Identity

module Data.IORef

module Data.Int

module Data.Ix

module Data.List

module Data.Maybe

module Data.Ord

module Data.Proxy

module Data.Ratio

module Data.STRef

module Data.Semigroup

module Data.String

module Data.Traversable

module Data.Tuple

module Data.Unique

module Data.Version

module Data.Void

module Data.Word

module Debug.Trace

module Foreign.ForeignPtr

module Foreign.Ptr

module Foreign.StablePtr

module Foreign.Storable

module GHC.IO.Exception

module GHC.OverloadedLabels

module GHC.Records

module Numeric

module Numeric.Natural

module System.Environment

module System.Exit

module System.IO

module System.IO.Error

module System.IO.Unsafe

module System.Mem

module System.Mem.StableName

module System.Timeout

module Unsafe.Coerce

class Category a => Arrow (a :: Type -> Type -> Type) where Source #

The basic arrow class.

Instances should satisfy the following laws:

-     arr id = id

-     arr (f >>> g) = arr f >>> arr g

-     first (arr f) = arr (first f)

-     first (f >>> g) = first f >>> first g

-     first f >>> arr fst = arr fst >>> f

-     first f >>> arr (id *** g) = arr (id *** g) >>> first f

-     first (first f) >>> arr assoc = arr assoc >>> first f

where

    assoc ((a,b),c) = (a,(b,c))

The other combinators have sensible default definitions, which may be overridden for efficiency.

Minimal complete definition

arr, (first | (***))

Methods

arr :: (b -> c) -> a b c Source #

Lift a function to an arrow.

(***) :: a b c -> a b' c' -> a (b, b') (c, c') infixr 3 Source #

Split the input between the two argument arrows and combine their output. Note that this is in general not a functor.

The default definition may be overridden with a more efficient version if desired.

(&&&) :: a b c -> a b c' -> a b (c, c') infixr 3 Source #

Fanout: send the input to both argument arrows and combine their output.

The default definition may be overridden with a more efficient version if desired.

#### Instances

Instances details

Monad m => Arrow (Kleisli m) | Since: base-2.1
Instance details Defined in GHC.Internal.Control.Arrow Methods arr :: (b -> c) -> Kleisli m b c Source # first :: Kleisli m b c -> Kleisli m (b, d) (c, d) Source # second :: Kleisli m b c -> Kleisli m (d, b) (d, c) Source # (***) :: Kleisli m b c -> Kleisli m b' c' -> Kleisli m (b, b') (c, c') Source # (&&&) :: Kleisli m b c -> Kleisli m b c' -> Kleisli m b (c, c') Source #
Arrow (->) | Since: base-2.1
Instance details Defined in GHC.Internal.Control.Arrow Methods arr :: (b -> c) -> b -> c Source # first :: (b -> c) -> (b, d) -> (c, d) Source # second :: (b -> c) -> (d, b) -> (d, c) Source # (***) :: (b -> c) -> (b' -> c') -> (b, b') -> (c, c') Source # (&&&) :: (b -> c) -> (b -> c') -> b -> (c, c') Source #

const :: a -> b -> a Source #

`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]

closeFdWith Source #

Arguments

:: (Fd -> IO ()) | Low-level action that performs the real close.
-> Fd | File descriptor to close.
-> IO () |

Close a file descriptor in a concurrency-safe way (GHC only). If you are using `threadWaitRead` or `threadWaitWrite` to perform blocking I/O, you must use this function to close file descriptors, or blocked threads may not be woken.

Any threads that are blocked on the file descriptor via `threadWaitRead` or `threadWaitWrite` will be unblocked by having IO exceptions thrown.

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

The Foldable class represents data structures that can be reduced to a summary value one element at a time. Strict left-associative folds are a good fit for space-efficient reduction, while lazy right-associative folds are a good fit for corecursive iteration, or for folds that short-circuit after processing an initial subsequence of the structure's elements.

Instances can be derived automatically by enabling the `DeriveFoldable` extension. For example, a derived instance for a binary tree might be:

    {-# LANGUAGE DeriveFoldable #-}
    data Tree a = Empty
                | Leaf a
                | Node (Tree a) a (Tree a)
        deriving 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

Methods

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

Given a structure with elements whose type is a `Monoid`, combine them via the monoid's `(`<>`)` operator. This fold is right-associative and lazy in the accumulator. When you need a strict left-associative fold, use `foldMap'` instead, with `id` as the map.

#### Examples

Expand

Basic usage:

    >>> fold [[1, 2, 3], [4, 5], [6], []]
    [1,2,3,4,5,6]

    >>> fold $ Node (Leaf (Sum 1)) (Sum 3) (Leaf (Sum 5))
    Sum {getSum = 9}

Folds of unbounded structures do not terminate when the monoid's `(`<>`)` operator is strict:

    >>> fold (repeat Nothing)
    * Hangs forever *

Lazy corecursive folds of unbounded structures are fine:

    >>> take 12 $ fold $ map (\i -> [i..i+2]) [0..]
    [0,1,2,1,2,3,2,3,4,3,4,5]
    >>> sum $ take 4000000 $ fold $ map (\i -> [i..i+2]) [0..]
    2666668666666

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

Map each element of the structure into a monoid, and combine the results with `(`<>`)`. This fold is right-associative and lazy in the accumulator. For strict left-associative folds consider `foldMap'` instead.

#### Examples

Expand

Basic usage:

    >>> foldMap Sum [1, 3, 5]
    Sum {getSum = 9}

    >>> foldMap Product [1, 3, 5]
    Product {getProduct = 15}

    >>> foldMap (replicate 3) [1, 2, 3]
    [1,1,1,2,2,2,3,3,3]

When a Monoid's `(`<>`)` is lazy in its second argument, `foldMap` can return a result even from an unbounded structure. For example, lazy accumulation enables Data.ByteString.Builder to efficiently serialise large data structures and produce the output incrementally:

    >>> import qualified Data.ByteString.Lazy as L
    >>> import qualified Data.ByteString.Builder as B
    >>> let bld :: Int -> B.Builder; bld i = B.intDec i <> B.word8 0x20
    >>> let lbs = B.toLazyByteString $ foldMap bld [0..]
    >>> L.take 64 lbs
    "0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24"

foldMap' :: Monoid m => (a -> m) -> t a -> m Source #

A left-associative variant of `foldMap` that is strict in the accumulator. Use this method for strict reduction when partial results are merged via `(`<>`)`.

#### Examples

Expand

Define a `Monoid` over finite bit strings under `xor`. Use it to strictly compute the `xor` of a list of `Int` values.

    >>> :set -XGeneralizedNewtypeDeriving
    >>> import Data.Bits (Bits, FiniteBits, xor, zeroBits)
    >>> import Data.Foldable (foldMap')
    >>> import Numeric (showHex)
    >>>
    >>> newtype X a = X a deriving (Eq, Bounded, Enum, Bits, FiniteBits)
    >>> instance Bits a => Semigroup (X a) where X a <> X b = X (a `xor` b)
    >>> instance Bits a => Monoid    (X a) where mempty     = X zeroBits
    >>>
    >>> let bits :: [Int]; bits = [0xcafe, 0xfeed, 0xdeaf, 0xbeef, 0x5411]
    >>> (\ (X a) -> showString "0x" . showHex a $ "") $ foldMap' X bits
    "0x42"

Since: base-4.13.0.0

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

`foldr'` is a variant of `foldr` that performs strict reduction from right to left, i.e. starting with the right-most element. The input structure must be finite, otherwise `foldr'` runs out of space (diverges).

If you want a strict right fold in constant space, you need a structure that supports faster than O(n) access to the right-most element, such as `Seq` from the `containers` package.

This method does not run in constant space for structures such as lists that don't support efficient right-to-left iteration and so require O(n) space to perform right-to-left reduction. Use of this method with such a structure is a hint that the chosen structure may be a poor fit for the task at hand. If the order in which the elements are combined is not important, use `foldl'` instead.

Since: base-4.6.0.0

#### Instances

Instances details

Foldable Complex | Since: base-4.9.0.0

Instance details

Defined in Data.Complex

Methods

fold :: Monoid m => Complex m -> m Source #

foldMap :: Monoid m => (a -> m) -> Complex a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Complex a -> m Source #

foldr :: (a -> b -> b) -> b -> Complex a -> b Source #

foldr' :: (a -> b -> b) -> b -> Complex a -> b Source #

foldl :: (b -> a -> b) -> b -> Complex a -> b Source #

foldl' :: (b -> a -> b) -> b -> Complex a -> b Source #

foldr1 :: (a -> a -> a) -> Complex a -> a Source #

foldl1 :: (a -> a -> a) -> Complex a -> a Source #

toList :: Complex a -> [a] Source #

null :: Complex a -> Bool Source #

length :: Complex a -> Int Source #

elem :: Eq a => a -> Complex a -> Bool Source #

maximum :: Ord a => Complex a -> a Source #

minimum :: Ord a => Complex a -> a Source #

sum :: Num a => Complex a -> a Source #

product :: Num a => Complex a -> a Source #

Foldable First | Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

fold :: Monoid m => First m -> m Source #

foldMap :: Monoid m => (a -> m) -> First a -> m Source #

foldMap' :: Monoid m => (a -> m) -> First a -> m Source #

foldr :: (a -> b -> b) -> b -> First a -> b Source #

foldr' :: (a -> b -> b) -> b -> First a -> b Source #

foldl :: (b -> a -> b) -> b -> First a -> b Source #

foldl' :: (b -> a -> b) -> b -> First a -> b Source #

foldr1 :: (a -> a -> a) -> First a -> a Source #

foldl1 :: (a -> a -> a) -> First a -> a Source #

toList :: First a -> [a] Source #

null :: First a -> Bool Source #

length :: First a -> Int Source #

elem :: Eq a => a -> First a -> Bool Source #

maximum :: Ord a => First a -> a Source #

minimum :: Ord a => First a -> a Source #

sum :: Num a => First a -> a Source #

product :: Num a => First a -> a Source #

Foldable Last | Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

fold :: Monoid m => Last m -> m Source #

foldMap :: Monoid m => (a -> m) -> Last a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Last a -> m Source #

foldr :: (a -> b -> b) -> b -> Last a -> b Source #

foldr' :: (a -> b -> b) -> b -> Last a -> b Source #

foldl :: (b -> a -> b) -> b -> Last a -> b Source #

foldl' :: (b -> a -> b) -> b -> Last a -> b Source #

foldr1 :: (a -> a -> a) -> Last a -> a Source #

foldl1 :: (a -> a -> a) -> Last a -> a Source #

toList :: Last a -> [a] Source #

null :: Last a -> Bool Source #

length :: Last a -> Int Source #

elem :: Eq a => a -> Last a -> Bool Source #

maximum :: Ord a => Last a -> a Source #

minimum :: Ord a => Last a -> a Source #

sum :: Num a => Last a -> a Source #

product :: Num a => Last a -> a Source #

Foldable Max | Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

fold :: Monoid m => Max m -> m Source #

foldMap :: Monoid m => (a -> m) -> Max a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Max a -> m Source #

foldr :: (a -> b -> b) -> b -> Max a -> b Source #

foldr' :: (a -> b -> b) -> b -> Max a -> b Source #

foldl :: (b -> a -> b) -> b -> Max a -> b Source #

foldl' :: (b -> a -> b) -> b -> Max a -> b Source #

foldr1 :: (a -> a -> a) -> Max a -> a Source #

foldl1 :: (a -> a -> a) -> Max a -> a Source #

toList :: Max a -> [a] Source #

null :: Max a -> Bool Source #

length :: Max a -> Int Source #

elem :: Eq a => a -> Max a -> Bool Source #

maximum :: Ord a => Max a -> a Source #

minimum :: Ord a => Max a -> a Source #

sum :: Num a => Max a -> a Source #

product :: Num a => Max a -> a Source #

Foldable Min | Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

fold :: Monoid m => Min m -> m Source #

foldMap :: Monoid m => (a -> m) -> Min a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Min a -> m Source #

foldr :: (a -> b -> b) -> b -> Min a -> b Source #

foldr' :: (a -> b -> b) -> b -> Min a -> b Source #

foldl :: (b -> a -> b) -> b -> Min a -> b Source #

foldl' :: (b -> a -> b) -> b -> Min a -> b Source #

foldr1 :: (a -> a -> a) -> Min a -> a Source #

foldl1 :: (a -> a -> a) -> Min a -> a Source #

toList :: Min a -> [a] Source #

null :: Min a -> Bool Source #

length :: Min a -> Int Source #

elem :: Eq a => a -> Min a -> Bool Source #

maximum :: Ord a => Min a -> a Source #

minimum :: Ord a => Min a -> a Source #

sum :: Num a => Min a -> a Source #

product :: Num a => Min a -> a Source #

Foldable NonEmpty | Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Data.Foldable

Methods

fold :: Monoid m => NonEmpty m -> m Source #

foldMap :: Monoid m => (a -> m) -> NonEmpty a -> m Source #

foldMap' :: Monoid m => (a -> m) -> NonEmpty a -> m Source #

foldr :: (a -> b -> b) -> b -> NonEmpty a -> b Source #

foldr' :: (a -> b -> b) -> b -> NonEmpty a -> b Source #

foldl :: (b -> a -> b) -> b -> NonEmpty a -> b Source #

foldl' :: (b -> a -> b) -> b -> NonEmpty a -> b Source #

foldr1 :: (a -> a -> a) -> NonEmpty a -> a Source #

foldl1 :: (a -> a -> a) -> NonEmpty a -> a Source #

toList :: NonEmpty a -> [a] Source #

null :: NonEmpty a -> Bool Source #

length :: NonEmpty a -> Int Source #

elem :: Eq a => a -> NonEmpty a -> Bool Source #

maximum :: Ord a => NonEmpty a -> a Source #

minimum :: Ord a => NonEmpty a -> a Source #

sum :: Num a => NonEmpty a -> a Source #

product :: Num a => NonEmpty a -> a Source #

Foldable Identity | Since: base-4.8.0.0

Instance details

Defined in GHC.Internal.Data.Functor.Identity

Methods

fold :: Monoid m => Identity m -> m Source #

foldMap :: Monoid m => (a -> m) -> Identity a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Identity a -> m Source #

foldr :: (a -> b -> b) -> b -> Identity a -> b Source #

foldr' :: (a -> b -> b) -> b -> Identity a -> b Source #

foldl :: (b -> a -> b) -> b -> Identity a -> b Source #

foldl' :: (b -> a -> b) -> b -> Identity a -> b Source #

foldr1 :: (a -> a -> a) -> Identity a -> a Source #

foldl1 :: (a -> a -> a) -> Identity a -> a Source #

toList :: Identity a -> [a] Source #

null :: Identity a -> Bool Source #

length :: Identity a -> Int Source #

elem :: Eq a => a -> Identity a -> Bool Source #

maximum :: Ord a => Identity a -> a Source #

minimum :: Ord a => Identity a -> a Source #

sum :: Num a => Identity a -> a Source #

product :: Num a => Identity a -> a Source #

Foldable First | Since: base-4.8.0.0

Instance details

Defined in GHC.Internal.Data.Foldable

Methods

fold :: Monoid m => First m -> m Source #

foldMap :: Monoid m => (a -> m) -> First a -> m Source #

foldMap' :: Monoid m => (a -> m) -> First a -> m Source #

foldr :: (a -> b -> b) -> b -> First a -> b Source #

foldr' :: (a -> b -> b) -> b -> First a -> b Source #

foldl :: (b -> a -> b) -> b -> First a -> b Source #

foldl' :: (b -> a -> b) -> b -> First a -> b Source #

foldr1 :: (a -> a -> a) -> First a -> a Source #

foldl1 :: (a -> a -> a) -> First a -> a Source #

toList :: First a -> [a] Source #

null :: First a -> Bool Source #

length :: First a -> Int Source #

elem :: Eq a => a -> First a -> Bool Source #

maximum :: Ord a => First a -> a Source #

minimum :: Ord a => First a -> a Source #

sum :: Num a => First a -> a Source #

product :: Num a => First a -> a Source #

Foldable Last | Since: base-4.8.0.0

Instance details

Defined in GHC.Internal.Data.Foldable

Methods

fold :: Monoid m => Last m -> m Source #

foldMap :: Monoid m => (a -> m) -> Last a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Last a -> m Source #

foldr :: (a -> b -> b) -> b -> Last a -> b Source #

foldr' :: (a -> b -> b) -> b -> Last a -> b Source #

foldl :: (b -> a -> b) -> b -> Last a -> b Source #

foldl' :: (b -> a -> b) -> b -> Last a -> b Source #

foldr1 :: (a -> a -> a) -> Last a -> a Source #

foldl1 :: (a -> a -> a) -> Last a -> a Source #

toList :: Last a -> [a] Source #

null :: Last a -> Bool Source #

length :: Last a -> Int Source #

elem :: Eq a => a -> Last a -> Bool Source #

maximum :: Ord a => Last a -> a Source #

minimum :: Ord a => Last a -> a Source #

sum :: Num a => Last a -> a Source #

product :: Num a => Last a -> a Source #

Foldable Down | Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.Data.Foldable

Methods

fold :: Monoid m => Down m -> m Source #

foldMap :: Monoid m => (a -> m) -> Down a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Down a -> m Source #

foldr :: (a -> b -> b) -> b -> Down a -> b Source #

foldr' :: (a -> b -> b) -> b -> Down a -> b Source #

foldl :: (b -> a -> b) -> b -> Down a -> b Source #

foldl' :: (b -> a -> b) -> b -> Down a -> b Source #

foldr1 :: (a -> a -> a) -> Down a -> a Source #

foldl1 :: (a -> a -> a) -> Down a -> a Source #

toList :: Down a -> [a] Source #

null :: Down a -> Bool Source #

length :: Down a -> Int Source #

elem :: Eq a => a -> Down a -> Bool Source #

maximum :: Ord a => Down a -> a Source #

minimum :: Ord a => Down a -> a Source #

sum :: Num a => Down a -> a Source #

product :: Num a => Down a -> a Source #

Foldable Dual | Since: base-4.8.0.0

Instance details

Defined in GHC.Internal.Data.Foldable

Methods

fold :: Monoid m => Dual m -> m Source #

foldMap :: Monoid m => (a -> m) -> Dual a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Dual a -> m Source #

foldr :: (a -> b -> b) -> b -> Dual a -> b Source #

foldr' :: (a -> b -> b) -> b -> Dual a -> b Source #

foldl :: (b -> a -> b) -> b -> Dual a -> b Source #

foldl' :: (b -> a -> b) -> b -> Dual a -> b Source #

foldr1 :: (a -> a -> a) -> Dual a -> a Source #

foldl1 :: (a -> a -> a) -> Dual a -> a Source #

toList :: Dual a -> [a] Source #

null :: Dual a -> Bool Source #

length :: Dual a -> Int Source #

elem :: Eq a => a -> Dual a -> Bool Source #

maximum :: Ord a => Dual a -> a Source #

minimum :: Ord a => Dual a -> a Source #

sum :: Num a => Dual a -> a Source #

product :: Num a => Dual a -> a Source #

Foldable Product | Since: base-4.8.0.0

Instance details

Defined in GHC.Internal.Data.Foldable

Methods

fold :: Monoid m => Product m -> m Source #

foldMap :: Monoid m => (a -> m) -> Product a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Product a -> m Source #

foldr :: (a -> b -> b) -> b -> Product a -> b Source #

foldr' :: (a -> b -> b) -> b -> Product a -> b Source #

foldl :: (b -> a -> b) -> b -> Product a -> b Source #

foldl' :: (b -> a -> b) -> b -> Product a -> b Source #

foldr1 :: (a -> a -> a) -> Product a -> a Source #

foldl1 :: (a -> a -> a) -> Product a -> a Source #

toList :: Product a -> [a] Source #

null :: Product a -> Bool Source #

length :: Product a -> Int Source #

elem :: Eq a => a -> Product a -> Bool Source #

maximum :: Ord a => Product a -> a Source #

minimum :: Ord a => Product a -> a Source #

sum :: Num a => Product a -> a Source #

product :: Num a => Product a -> a Source #

Foldable Sum | Since: base-4.8.0.0

Instance details

Defined in GHC.Internal.Data.Foldable

Methods

fold :: Monoid m => Sum m -> m Source #

foldMap :: Monoid m => (a -> m) -> Sum a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Sum a -> m Source #

foldr :: (a -> b -> b) -> b -> Sum a -> b Source #

foldr' :: (a -> b -> b) -> b -> Sum a -> b Source #

foldl :: (b -> a -> b) -> b -> Sum a -> b Source #

foldl' :: (b -> a -> b) -> b -> Sum a -> b Source #

foldr1 :: (a -> a -> a) -> Sum a -> a Source #

foldl1 :: (a -> a -> a) -> Sum a -> a Source #

toList :: Sum a -> [a] Source #

null :: Sum a -> Bool Source #

length :: Sum a -> Int Source #

elem :: Eq a => a -> Sum a -> Bool Source #

maximum :: Ord a => Sum a -> a Source #

minimum :: Ord a => Sum a -> a Source #

sum :: Num a => Sum a -> a Source #

product :: Num a => Sum a -> a Source #

Foldable ZipList | Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Functor.ZipList

Methods

fold :: Monoid m => ZipList m -> m Source #

foldMap :: Monoid m => (a -> m) -> ZipList a -> m Source #

foldMap' :: Monoid m => (a -> m) -> ZipList a -> m Source #

foldr :: (a -> b -> b) -> b -> ZipList a -> b Source #

foldr' :: (a -> b -> b) -> b -> ZipList a -> b Source #

foldl :: (b -> a -> b) -> b -> ZipList a -> b Source #

foldl' :: (b -> a -> b) -> b -> ZipList a -> b Source #

foldr1 :: (a -> a -> a) -> ZipList a -> a Source #

foldl1 :: (a -> a -> a) -> ZipList a -> a Source #

toList :: ZipList a -> [a] Source #

null :: ZipList a -> Bool Source #

length :: ZipList a -> Int Source #

elem :: Eq a => a -> ZipList a -> Bool Source #

maximum :: Ord a => ZipList a -> a Source #

minimum :: Ord a => ZipList a -> a Source #

sum :: Num a => ZipList a -> a Source #

product :: Num a => ZipList a -> a Source #

Foldable Par1 | Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Data.Foldable

Methods

fold :: Monoid m => Par1 m -> m Source #

foldMap :: Monoid m => (a -> m) -> Par1 a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Par1 a -> m Source #

foldr :: (a -> b -> b) -> b -> Par1 a -> b Source #

foldr' :: (a -> b -> b) -> b -> Par1 a -> b Source #

foldl :: (b -> a -> b) -> b -> Par1 a -> b Source #

foldl' :: (b -> a -> b) -> b -> Par1 a -> b Source #

foldr1 :: (a -> a -> a) -> Par1 a -> a Source #

foldl1 :: (a -> a -> a) -> Par1 a -> a Source #

toList :: Par1 a -> [a] Source #

null :: Par1 a -> Bool Source #

length :: Par1 a -> Int Source #

elem :: Eq a => a -> Par1 a -> Bool Source #

maximum :: Ord a => Par1 a -> a Source #

minimum :: Ord a => Par1 a -> a Source #

sum :: Num a => Par1 a -> a Source #

product :: Num a => Par1 a -> a Source #

Foldable Maybe | Since: base-2.1

Instance details

Defined in GHC.Internal.Data.Foldable

Methods

fold :: Monoid m => Maybe m -> m Source #

foldMap :: Monoid m => (a -> m) -> Maybe a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Maybe a -> m Source #

foldr :: (a -> b -> b) -> b -> Maybe a -> b Source #

foldr' :: (a -> b -> b) -> b -> Maybe a -> b Source #

foldl :: (b -> a -> b) -> b -> Maybe a -> b Source #

foldl' :: (b -> a -> b) -> b -> Maybe a -> b Source #

foldr1 :: (a -> a -> a) -> Maybe a -> a Source #

foldl1 :: (a -> a -> a) -> Maybe a -> a Source #

toList :: Maybe a -> [a] Source #

null :: Maybe a -> Bool Source #

length :: Maybe a -> Int Source #

elem :: Eq a => a -> Maybe a -> Bool Source #

maximum :: Ord a => Maybe a -> a Source #

minimum :: Ord a => Maybe a -> a Source #

sum :: Num a => Maybe a -> a Source #

product :: Num a => Maybe a -> a Source #

Foldable Solo | Since: base-4.15

Instance details

Defined in GHC.Internal.Data.Foldable

Methods

fold :: Monoid m => Solo m -> m Source #

foldMap :: Monoid m => (a -> m) -> Solo a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Solo a -> m Source #

foldr :: (a -> b -> b) -> b -> Solo a -> b Source #

foldr' :: (a -> b -> b) -> b -> Solo a -> b Source #

foldl :: (b -> a -> b) -> b -> Solo a -> b Source #

foldl' :: (b -> a -> b) -> b -> Solo a -> b Source #

foldr1 :: (a -> a -> a) -> Solo a -> a Source #

foldl1 :: (a -> a -> a) -> Solo a -> a Source #

toList :: Solo a -> [a] Source #

null :: Solo a -> Bool Source #

length :: Solo a -> Int Source #

elem :: Eq a => a -> Solo a -> Bool Source #

maximum :: Ord a => Solo a -> a Source #

minimum :: Ord a => Solo a -> a Source #

sum :: Num a => Solo a -> a Source #

product :: Num a => Solo a -> a Source #

Foldable [] | Since: base-2.1

Instance details

Defined in GHC.Internal.Data.Foldable

Methods

fold :: Monoid m => [m] -> m Source #

foldMap :: Monoid m => (a -> m) -> [a] -> m Source #

foldMap' :: Monoid m => (a -> m) -> [a] -> m Source #

foldr :: (a -> b -> b) -> b -> [a] -> b Source #

foldr' :: (a -> b -> b) -> b -> [a] -> b Source #

foldl :: (b -> a -> b) -> b -> [a] -> b Source #

foldl' :: (b -> a -> b) -> b -> [a] -> b Source #

foldr1 :: (a -> a -> a) -> [a] -> a Source #

foldl1 :: (a -> a -> a) -> [a] -> a Source #

toList :: [a] -> [a] Source #

null :: [a] -> Bool Source #

length :: [a] -> Int Source #

elem :: Eq a => a -> [a] -> Bool Source #

maximum :: Ord a => [a] -> a Source #

minimum :: Ord a => [a] -> a Source #

sum :: Num a => [a] -> a Source #

product :: Num a => [a] -> a Source #

Foldable (Arg a) | Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

fold :: Monoid m => Arg a m -> m Source #

foldMap :: Monoid m => (a0 -> m) -> Arg a a0 -> m Source #

foldMap' :: Monoid m => (a0 -> m) -> Arg a a0 -> m Source #

foldr :: (a0 -> b -> b) -> b -> Arg a a0 -> b Source #

foldr' :: (a0 -> b -> b) -> b -> Arg a a0 -> b Source #

foldl :: (b -> a0 -> b) -> b -> Arg a a0 -> b Source #

foldl' :: (b -> a0 -> b) -> b -> Arg a a0 -> b Source #

foldr1 :: (a0 -> a0 -> a0) -> Arg a a0 -> a0 Source #

foldl1 :: (a0 -> a0 -> a0) -> Arg a a0 -> a0 Source #

toList :: Arg a a0 -> [a0] Source #

null :: Arg a a0 -> Bool Source #

length :: Arg a a0 -> Int Source #

elem :: Eq a0 => a0 -> Arg a a0 -> Bool Source #

maximum :: Ord a0 => Arg a a0 -> a0 Source #

minimum :: Ord a0 => Arg a a0 -> a0 Source #

sum :: Num a0 => Arg a a0 -> a0 Source #

product :: Num a0 => Arg a a0 -> a0 Source #

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 Source #

foldMap :: Monoid m => (a -> m) -> Array i a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Array i a -> m Source #

foldr :: (a -> b -> b) -> b -> Array i a -> b Source #

foldr' :: (a -> b -> b) -> b -> Array i a -> b Source #

foldl :: (b -> a -> b) -> b -> Array i a -> b Source #

foldl' :: (b -> a -> b) -> b -> Array i a -> b Source #

foldr1 :: (a -> a -> a) -> Array i a -> a Source #

foldl1 :: (a -> a -> a) -> Array i a -> a Source #

toList :: Array i a -> [a] Source #

null :: Array i a -> Bool Source #

length :: Array i a -> Int Source #

elem :: Eq a => a -> Array i a -> Bool Source #

maximum :: Ord a => Array i a -> a Source #

minimum :: Ord a => Array i a -> a Source #

sum :: Num a => Array i a -> a Source #

product :: Num a => Array i a -> a Source #

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 Source #

foldMap :: Monoid m => (a0 -> m) -> Either a a0 -> m Source #

foldMap' :: Monoid m => (a0 -> m) -> Either a a0 -> m Source #

foldr :: (a0 -> b -> b) -> b -> Either a a0 -> b Source #

foldr' :: (a0 -> b -> b) -> b -> Either a a0 -> b Source #

foldl :: (b -> a0 -> b) -> b -> Either a a0 -> b Source #

foldl' :: (b -> a0 -> b) -> b -> Either a a0 -> b Source #

foldr1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 Source #

foldl1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 Source #

toList :: Either a a0 -> [a0] Source #

null :: Either a a0 -> Bool Source #

length :: Either a a0 -> Int Source #

elem :: Eq a0 => a0 -> Either a a0 -> Bool Source #

maximum :: Ord a0 => Either a a0 -> a0 Source #

minimum :: Ord a0 => Either a a0 -> a0 Source #

sum :: Num a0 => Either a a0 -> a0 Source #

product :: Num a0 => Either a a0 -> a0 Source #

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 Source #

foldMap :: Monoid m => (a -> m) -> Proxy a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Proxy a -> m Source #

foldr :: (a -> b -> b) -> b -> Proxy a -> b Source #

foldr' :: (a -> b -> b) -> b -> Proxy a -> b Source #

foldl :: (b -> a -> b) -> b -> Proxy a -> b Source #

foldl' :: (b -> a -> b) -> b -> Proxy a -> b Source #

foldr1 :: (a -> a -> a) -> Proxy a -> a Source #

foldl1 :: (a -> a -> a) -> Proxy a -> a Source #

toList :: Proxy a -> [a] Source #

null :: Proxy a -> Bool Source #

length :: Proxy a -> Int Source #

elem :: Eq a => a -> Proxy a -> Bool Source #

maximum :: Ord a => Proxy a -> a Source #

minimum :: Ord a => Proxy a -> a Source #

sum :: Num a => Proxy a -> a Source #

product :: Num a => Proxy a -> a Source #

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 Source #

foldMap :: Monoid m => (a -> m) -> U1 a -> m Source #

foldMap' :: Monoid m => (a -> m) -> U1 a -> m Source #

foldr :: (a -> b -> b) -> b -> U1 a -> b Source #

foldr' :: (a -> b -> b) -> b -> U1 a -> b Source #

foldl :: (b -> a -> b) -> b -> U1 a -> b Source #

foldl' :: (b -> a -> b) -> b -> U1 a -> b Source #

foldr1 :: (a -> a -> a) -> U1 a -> a Source #

foldl1 :: (a -> a -> a) -> U1 a -> a Source #

toList :: U1 a -> [a] Source #

null :: U1 a -> Bool Source #

length :: U1 a -> Int Source #

elem :: Eq a => a -> U1 a -> Bool Source #

maximum :: Ord a => U1 a -> a Source #

minimum :: Ord a => U1 a -> a Source #

sum :: Num a => U1 a -> a Source #

product :: Num a => U1 a -> a Source #

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 Source #

foldMap :: Monoid m => (a -> m) -> UAddr a -> m Source #

foldMap' :: Monoid m => (a -> m) -> UAddr a -> m Source #

foldr :: (a -> b -> b) -> b -> UAddr a -> b Source #

foldr' :: (a -> b -> b) -> b -> UAddr a -> b Source #

foldl :: (b -> a -> b) -> b -> UAddr a -> b Source #

foldl' :: (b -> a -> b) -> b -> UAddr a -> b Source #

foldr1 :: (a -> a -> a) -> UAddr a -> a Source #

foldl1 :: (a -> a -> a) -> UAddr a -> a Source #

toList :: UAddr a -> [a] Source #

null :: UAddr a -> Bool Source #

length :: UAddr a -> Int Source #

elem :: Eq a => a -> UAddr a -> Bool Source #

maximum :: Ord a => UAddr a -> a Source #

minimum :: Ord a => UAddr a -> a Source #

sum :: Num a => UAddr a -> a Source #

product :: Num a => UAddr a -> a Source #

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 Source #

foldMap :: Monoid m => (a -> m) -> UChar a -> m Source #

foldMap' :: Monoid m => (a -> m) -> UChar a -> m Source #

foldr :: (a -> b -> b) -> b -> UChar a -> b Source #

foldr' :: (a -> b -> b) -> b -> UChar a -> b Source #

foldl :: (b -> a -> b) -> b -> UChar a -> b Source #

foldl' :: (b -> a -> b) -> b -> UChar a -> b Source #

foldr1 :: (a -> a -> a) -> UChar a -> a Source #

foldl1 :: (a -> a -> a) -> UChar a -> a Source #

toList :: UChar a -> [a] Source #

null :: UChar a -> Bool Source #

length :: UChar a -> Int Source #

elem :: Eq a => a -> UChar a -> Bool Source #

maximum :: Ord a => UChar a -> a Source #

minimum :: Ord a => UChar a -> a Source #

sum :: Num a => UChar a -> a Source #

product :: Num a => UChar a -> a Source #

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 Source #

foldMap :: Monoid m => (a -> m) -> UDouble a -> m Source #

foldMap' :: Monoid m => (a -> m) -> UDouble a -> m Source #

foldr :: (a -> b -> b) -> b -> UDouble a -> b Source #

foldr' :: (a -> b -> b) -> b -> UDouble a -> b Source #

foldl :: (b -> a -> b) -> b -> UDouble a -> b Source #

foldl' :: (b -> a -> b) -> b -> UDouble a -> b Source #

foldr1 :: (a -> a -> a) -> UDouble a -> a Source #

foldl1 :: (a -> a -> a) -> UDouble a -> a Source #

toList :: UDouble a -> [a] Source #

null :: UDouble a -> Bool Source #

length :: UDouble a -> Int Source #

elem :: Eq a => a -> UDouble a -> Bool Source #

maximum :: Ord a => UDouble a -> a Source #

minimum :: Ord a => UDouble a -> a Source #

sum :: Num a => UDouble a -> a Source #

product :: Num a => UDouble a -> a Source #

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 Source #

foldMap :: Monoid m => (a -> m) -> UFloat a -> m Source #

foldMap' :: Monoid m => (a -> m) -> UFloat a -> m Source #

foldr :: (a -> b -> b) -> b -> UFloat a -> b Source #

foldr' :: (a -> b -> b) -> b -> UFloat a -> b Source #

foldl :: (b -> a -> b) -> b -> UFloat a -> b Source #

foldl' :: (b -> a -> b) -> b -> UFloat a -> b Source #

foldr1 :: (a -> a -> a) -> UFloat a -> a Source #

foldl1 :: (a -> a -> a) -> UFloat a -> a Source #

toList :: UFloat a -> [a] Source #

null :: UFloat a -> Bool Source #

length :: UFloat a -> Int Source #

elem :: Eq a => a -> UFloat a -> Bool Source #

maximum :: Ord a => UFloat a -> a Source #

minimum :: Ord a => UFloat a -> a Source #

sum :: Num a => UFloat a -> a Source #

product :: Num a => UFloat a -> a Source #

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 Source #

foldMap :: Monoid m => (a -> m) -> UInt a -> m Source #

foldMap' :: Monoid m => (a -> m) -> UInt a -> m Source #

foldr :: (a -> b -> b) -> b -> UInt a -> b Source #

foldr' :: (a -> b -> b) -> b -> UInt a -> b Source #

foldl :: (b -> a -> b) -> b -> UInt a -> b Source #

foldl' :: (b -> a -> b) -> b -> UInt a -> b Source #

foldr1 :: (a -> a -> a) -> UInt a -> a Source #

foldl1 :: (a -> a -> a) -> UInt a -> a Source #

toList :: UInt a -> [a] Source #

null :: UInt a -> Bool Source #

length :: UInt a -> Int Source #

elem :: Eq a => a -> UInt a -> Bool Source #

maximum :: Ord a => UInt a -> a Source #

minimum :: Ord a => UInt a -> a Source #

sum :: Num a => UInt a -> a Source #

product :: Num a => UInt a -> a Source #

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 Source #

foldMap :: Monoid m => (a -> m) -> UWord a -> m Source #

foldMap' :: Monoid m => (a -> m) -> UWord a -> m Source #

foldr :: (a -> b -> b) -> b -> UWord a -> b Source #

foldr' :: (a -> b -> b) -> b -> UWord a -> b Source #

foldl :: (b -> a -> b) -> b -> UWord a -> b Source #

foldl' :: (b -> a -> b) -> b -> UWord a -> b Source #

foldr1 :: (a -> a -> a) -> UWord a -> a Source #

foldl1 :: (a -> a -> a) -> UWord a -> a Source #

toList :: UWord a -> [a] Source #

null :: UWord a -> Bool Source #

length :: UWord a -> Int Source #

elem :: Eq a => a -> UWord a -> Bool Source #

maximum :: Ord a => UWord a -> a Source #

minimum :: Ord a => UWord a -> a Source #

sum :: Num a => UWord a -> a Source #

product :: Num a => UWord a -> a Source #

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 Source #

foldMap :: Monoid m => (a -> m) -> V1 a -> m Source #

foldMap' :: Monoid m => (a -> m) -> V1 a -> m Source #

foldr :: (a -> b -> b) -> b -> V1 a -> b Source #

foldr' :: (a -> b -> b) -> b -> V1 a -> b Source #

foldl :: (b -> a -> b) -> b -> V1 a -> b Source #

foldl' :: (b -> a -> b) -> b -> V1 a -> b Source #

foldr1 :: (a -> a -> a) -> V1 a -> a Source #

foldl1 :: (a -> a -> a) -> V1 a -> a Source #

toList :: V1 a -> [a] Source #

null :: V1 a -> Bool Source #

length :: V1 a -> Int Source #

elem :: Eq a => a -> V1 a -> Bool Source #

maximum :: Ord a => V1 a -> a Source #

minimum :: Ord a => V1 a -> a Source #

sum :: Num a => V1 a -> a Source #

product :: Num a => V1 a -> a Source #

Foldable ((,) a) | Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Data.Foldable

Methods

fold :: Monoid m => (a, m) -> m Source #

foldMap :: Monoid m => (a0 -> m) -> (a, a0) -> m Source #

foldMap' :: Monoid m => (a0 -> m) -> (a, a0) -> m Source #

foldr :: (a0 -> b -> b) -> b -> (a, a0) -> b Source #

foldr' :: (a0 -> b -> b) -> b -> (a, a0) -> b Source #

foldl :: (b -> a0 -> b) -> b -> (a, a0) -> b Source #

foldl' :: (b -> a0 -> b) -> b -> (a, a0) -> b Source #

foldr1 :: (a0 -> a0 -> a0) -> (a, a0) -> a0 Source #

foldl1 :: (a0 -> a0 -> a0) -> (a, a0) -> a0 Source #

toList :: (a, a0) -> [a0] Source #

null :: (a, a0) -> Bool Source #

length :: (a, a0) -> Int Source #

elem :: Eq a0 => a0 -> (a, a0) -> Bool Source #

maximum :: Ord a0 => (a, a0) -> a0 Source #

minimum :: Ord a0 => (a, a0) -> a0 Source #

sum :: Num a0 => (a, a0) -> a0 Source #

product :: Num a0 => (a, a0) -> a0 Source #

Foldable (Const m :: Type -> Type) | Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Data.Functor.Const

Methods

fold :: Monoid m0 => Const m m0 -> m0 Source #

foldMap :: Monoid m0 => (a -> m0) -> Const m a -> m0 Source #

foldMap' :: Monoid m0 => (a -> m0) -> Const m a -> m0 Source #

foldr :: (a -> b -> b) -> b -> Const m a -> b Source #

foldr' :: (a -> b -> b) -> b -> Const m a -> b Source #

foldl :: (b -> a -> b) -> b -> Const m a -> b Source #

foldl' :: (b -> a -> b) -> b -> Const m a -> b Source #

foldr1 :: (a -> a -> a) -> Const m a -> a Source #

foldl1 :: (a -> a -> a) -> Const m a -> a Source #

toList :: Const m a -> [a] Source #

null :: Const m a -> Bool Source #

length :: Const m a -> Int Source #

elem :: Eq a => a -> Const m a -> Bool Source #

maximum :: Ord a => Const m a -> a Source #

minimum :: Ord a => Const m a -> a Source #

sum :: Num a => Const m a -> a Source #

product :: Num a => Const m a -> a Source #

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 Source #

foldMap :: Monoid m => (a -> m) -> Ap f a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Ap f a -> m Source #

foldr :: (a -> b -> b) -> b -> Ap f a -> b Source #

foldr' :: (a -> b -> b) -> b -> Ap f a -> b Source #

foldl :: (b -> a -> b) -> b -> Ap f a -> b Source #

foldl' :: (b -> a -> b) -> b -> Ap f a -> b Source #

foldr1 :: (a -> a -> a) -> Ap f a -> a Source #

foldl1 :: (a -> a -> a) -> Ap f a -> a Source #

toList :: Ap f a -> [a] Source #

null :: Ap f a -> Bool Source #

length :: Ap f a -> Int Source #

elem :: Eq a => a -> Ap f a -> Bool Source #

maximum :: Ord a => Ap f a -> a Source #

minimum :: Ord a => Ap f a -> a Source #

sum :: Num a => Ap f a -> a Source #

product :: Num a => Ap f a -> a Source #

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 Source #

foldMap :: Monoid m => (a -> m) -> Alt f a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Alt f a -> m Source #

foldr :: (a -> b -> b) -> b -> Alt f a -> b Source #

foldr' :: (a -> b -> b) -> b -> Alt f a -> b Source #

foldl :: (b -> a -> b) -> b -> Alt f a -> b Source #

foldl' :: (b -> a -> b) -> b -> Alt f a -> b Source #

foldr1 :: (a -> a -> a) -> Alt f a -> a Source #

foldl1 :: (a -> a -> a) -> Alt f a -> a Source #

toList :: Alt f a -> [a] Source #

null :: Alt f a -> Bool Source #

length :: Alt f a -> Int Source #

elem :: Eq a => a -> Alt f a -> Bool Source #

maximum :: Ord a => Alt f a -> a Source #

minimum :: Ord a => Alt f a -> a Source #

sum :: Num a => Alt f a -> a Source #

product :: Num a => Alt f a -> a Source #

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 Source #

foldMap :: Monoid m => (a -> m) -> Rec1 f a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Rec1 f a -> m Source #

foldr :: (a -> b -> b) -> b -> Rec1 f a -> b Source #

foldr' :: (a -> b -> b) -> b -> Rec1 f a -> b Source #

foldl :: (b -> a -> b) -> b -> Rec1 f a -> b Source #

foldl' :: (b -> a -> b) -> b -> Rec1 f a -> b Source #

foldr1 :: (a -> a -> a) -> Rec1 f a -> a Source #

foldl1 :: (a -> a -> a) -> Rec1 f a -> a Source #

toList :: Rec1 f a -> [a] Source #

null :: Rec1 f a -> Bool Source #

length :: Rec1 f a -> Int Source #

elem :: Eq a => a -> Rec1 f a -> Bool Source #

maximum :: Ord a => Rec1 f a -> a Source #

minimum :: Ord a => Rec1 f a -> a Source #

sum :: Num a => Rec1 f a -> a Source #

product :: Num a => Rec1 f a -> a Source #

(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 Source #

foldMap :: Monoid m => (a -> m) -> Product f g a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Product f g a -> m Source #

foldr :: (a -> b -> b) -> b -> Product f g a -> b Source #

foldr' :: (a -> b -> b) -> b -> Product f g a -> b Source #

foldl :: (b -> a -> b) -> b -> Product f g a -> b Source #

foldl' :: (b -> a -> b) -> b -> Product f g a -> b Source #

foldr1 :: (a -> a -> a) -> Product f g a -> a Source #

foldl1 :: (a -> a -> a) -> Product f g a -> a Source #

toList :: Product f g a -> [a] Source #

null :: Product f g a -> Bool Source #

length :: Product f g a -> Int Source #

elem :: Eq a => a -> Product f g a -> Bool Source #

maximum :: Ord a => Product f g a -> a Source #

minimum :: Ord a => Product f g a -> a Source #

sum :: Num a => Product f g a -> a Source #

product :: Num a => Product f g a -> a Source #

(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 Source #

foldMap :: Monoid m => (a -> m) -> Sum f g a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Sum f g a -> m Source #

foldr :: (a -> b -> b) -> b -> Sum f g a -> b Source #

foldr' :: (a -> b -> b) -> b -> Sum f g a -> b Source #

foldl :: (b -> a -> b) -> b -> Sum f g a -> b Source #

foldl' :: (b -> a -> b) -> b -> Sum f g a -> b Source #

foldr1 :: (a -> a -> a) -> Sum f g a -> a Source #

foldl1 :: (a -> a -> a) -> Sum f g a -> a Source #

toList :: Sum f g a -> [a] Source #

null :: Sum f g a -> Bool Source #

length :: Sum f g a -> Int Source #

elem :: Eq a => a -> Sum f g a -> Bool Source #

maximum :: Ord a => Sum f g a -> a Source #

minimum :: Ord a => Sum f g a -> a Source #

sum :: Num a => Sum f g a -> a Source #

product :: Num a => Sum f g a -> a Source #

(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 Source #

foldMap :: Monoid m => (a -> m) -> (f :*: g) a -> m Source #

foldMap' :: Monoid m => (a -> m) -> (f :*: g) a -> m Source #

foldr :: (a -> b -> b) -> b -> (f :*: g) a -> b Source #

foldr' :: (a -> b -> b) -> b -> (f :*: g) a -> b Source #

foldl :: (b -> a -> b) -> b -> (f :*: g) a -> b Source #

foldl' :: (b -> a -> b) -> b -> (f :*: g) a -> b Source #

foldr1 :: (a -> a -> a) -> (f :*: g) a -> a Source #

foldl1 :: (a -> a -> a) -> (f :*: g) a -> a Source #

toList :: (f :*: g) a -> [a] Source #

null :: (f :*: g) a -> Bool Source #

length :: (f :*: g) a -> Int Source #

elem :: Eq a => a -> (f :*: g) a -> Bool Source #

maximum :: Ord a => (f :*: g) a -> a Source #

minimum :: Ord a => (f :*: g) a -> a Source #

sum :: Num a => (f :*: g) a -> a Source #

product :: Num a => (f :*: g) a -> a Source #

(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 Source #

foldMap :: Monoid m => (a -> m) -> (f :+: g) a -> m Source #

foldMap' :: Monoid m => (a -> m) -> (f :+: g) a -> m Source #

foldr :: (a -> b -> b) -> b -> (f :+: g) a -> b Source #

foldr' :: (a -> b -> b) -> b -> (f :+: g) a -> b Source #

foldl :: (b -> a -> b) -> b -> (f :+: g) a -> b Source #

foldl' :: (b -> a -> b) -> b -> (f :+: g) a -> b Source #

foldr1 :: (a -> a -> a) -> (f :+: g) a -> a Source #

foldl1 :: (a -> a -> a) -> (f :+: g) a -> a Source #

toList :: (f :+: g) a -> [a] Source #

null :: (f :+: g) a -> Bool Source #

length :: (f :+: g) a -> Int Source #

elem :: Eq a => a -> (f :+: g) a -> Bool Source #

maximum :: Ord a => (f :+: g) a -> a Source #

minimum :: Ord a => (f :+: g) a -> a Source #

sum :: Num a => (f :+: g) a -> a Source #

product :: Num a => (f :+: g) a -> a Source #

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 Source #

foldMap :: Monoid m => (a -> m) -> K1 i c a -> m Source #

foldMap' :: Monoid m => (a -> m) -> K1 i c a -> m Source #

foldr :: (a -> b -> b) -> b -> K1 i c a -> b Source #

foldr' :: (a -> b -> b) -> b -> K1 i c a -> b Source #

foldl :: (b -> a -> b) -> b -> K1 i c a -> b Source #

foldl' :: (b -> a -> b) -> b -> K1 i c a -> b Source #

foldr1 :: (a -> a -> a) -> K1 i c a -> a Source #

foldl1 :: (a -> a -> a) -> K1 i c a -> a Source #

toList :: K1 i c a -> [a] Source #

null :: K1 i c a -> Bool Source #

length :: K1 i c a -> Int Source #

elem :: Eq a => a -> K1 i c a -> Bool Source #

maximum :: Ord a => K1 i c a -> a Source #

minimum :: Ord a => K1 i c a -> a Source #

sum :: Num a => K1 i c a -> a Source #

product :: Num a => K1 i c a -> a Source #

(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 Source #

foldMap :: Monoid m => (a -> m) -> Compose f g a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Compose f g a -> m Source #

foldr :: (a -> b -> b) -> b -> Compose f g a -> b Source #

foldr' :: (a -> b -> b) -> b -> Compose f g a -> b Source #

foldl :: (b -> a -> b) -> b -> Compose f g a -> b Source #

foldl' :: (b -> a -> b) -> b -> Compose f g a -> b Source #

foldr1 :: (a -> a -> a) -> Compose f g a -> a Source #

foldl1 :: (a -> a -> a) -> Compose f g a -> a Source #

toList :: Compose f g a -> [a] Source #

null :: Compose f g a -> Bool Source #

length :: Compose f g a -> Int Source #

elem :: Eq a => a -> Compose f g a -> Bool Source #

maximum :: Ord a => Compose f g a -> a Source #

minimum :: Ord a => Compose f g a -> a Source #

sum :: Num a => Compose f g a -> a Source #

product :: Num a => Compose f g a -> a Source #

(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 Source #

foldMap :: Monoid m => (a -> m) -> (f :.: g) a -> m Source #

foldMap' :: Monoid m => (a -> m) -> (f :.: g) a -> m Source #

foldr :: (a -> b -> b) -> b -> (f :.: g) a -> b Source #

foldr' :: (a -> b -> b) -> b -> (f :.: g) a -> b Source #

foldl :: (b -> a -> b) -> b -> (f :.: g) a -> b Source #

foldl' :: (b -> a -> b) -> b -> (f :.: g) a -> b Source #

foldr1 :: (a -> a -> a) -> (f :.: g) a -> a Source #

foldl1 :: (a -> a -> a) -> (f :.: g) a -> a Source #

toList :: (f :.: g) a -> [a] Source #

null :: (f :.: g) a -> Bool Source #

length :: (f :.: g) a -> Int Source #

elem :: Eq a => a -> (f :.: g) a -> Bool Source #

maximum :: Ord a => (f :.: g) a -> a Source #

minimum :: Ord a => (f :.: g) a -> a Source #

sum :: Num a => (f :.: g) a -> a Source #

product :: Num a => (f :.: g) a -> a Source #

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 Source #

foldMap :: Monoid m => (a -> m) -> M1 i c f a -> m Source #

foldMap' :: Monoid m => (a -> m) -> M1 i c f a -> m Source #

foldr :: (a -> b -> b) -> b -> M1 i c f a -> b Source #

foldr' :: (a -> b -> b) -> b -> M1 i c f a -> b Source #

foldl :: (b -> a -> b) -> b -> M1 i c f a -> b Source #

foldl' :: (b -> a -> b) -> b -> M1 i c f a -> b Source #

foldr1 :: (a -> a -> a) -> M1 i c f a -> a Source #

foldl1 :: (a -> a -> a) -> M1 i c f a -> a Source #

toList :: M1 i c f a -> [a] Source #

null :: M1 i c f a -> Bool Source #

length :: M1 i c f a -> Int Source #

elem :: Eq a => a -> M1 i c f a -> Bool Source #

maximum :: Ord a => M1 i c f a -> a Source #

minimum :: Ord a => M1 i c f a -> a Source #

sum :: Num a => M1 i c f a -> a Source #

product :: Num a => M1 i c f a -> a Source #

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

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

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

lazy :: a -> a Source #

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

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

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

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

inline :: a -> a Source #

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

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

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

($) :: (a -> b) -> a -> b infixr 0 Source #

``($)`` is the function application operator.

Applying ``($)`` to a function `f` and an argument `x` gives the same result as applying `f` to `x` directly. The definition is akin to this:

    ($) :: (a -> b) -> a -> b
    ($) f x = f x

This is ``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

class Num a where Source #

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 Source #

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

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

negate :: a -> a Source #

Unary negation.

abs :: a -> a Source #

Absolute value.

signum :: a -> a Source #

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

    abs x * signum x == x

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

fromInteger :: Integer -> a Source #

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

#### Instances

Instances details

Num IntPtr |
Instance details Defined in GHC.Internal.Foreign.Ptr Methods (+) :: IntPtr -> IntPtr -> IntPtr Source # (-) :: IntPtr -> IntPtr -> IntPtr Source # (*) :: IntPtr -> IntPtr -> IntPtr Source # negate :: IntPtr -> IntPtr Source # abs :: IntPtr -> IntPtr Source # signum :: IntPtr -> IntPtr Source # fromInteger :: Integer -> IntPtr Source #
Num WordPtr |
Instance details Defined in GHC.Internal.Foreign.Ptr Methods (+) :: WordPtr -> WordPtr -> WordPtr Source # (-) :: WordPtr -> WordPtr -> WordPtr Source # (*) :: WordPtr -> WordPtr -> WordPtr Source # negate :: WordPtr -> WordPtr Source # abs :: WordPtr -> WordPtr Source # signum :: WordPtr -> WordPtr Source # fromInteger :: Integer -> WordPtr Source #
Num Int16 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods (+) :: Int16 -> Int16 -> Int16 Source # (-) :: Int16 -> Int16 -> Int16 Source # (*) :: Int16 -> Int16 -> Int16 Source # negate :: Int16 -> Int16 Source # abs :: Int16 -> Int16 Source # signum :: Int16 -> Int16 Source # fromInteger :: Integer -> Int16 Source #
Num Int32 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods (+) :: Int32 -> Int32 -> Int32 Source # (-) :: Int32 -> Int32 -> Int32 Source # (*) :: Int32 -> Int32 -> Int32 Source # negate :: Int32 -> Int32 Source # abs :: Int32 -> Int32 Source # signum :: Int32 -> Int32 Source # fromInteger :: Integer -> Int32 Source #
Num Int64 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods (+) :: Int64 -> Int64 -> Int64 Source # (-) :: Int64 -> Int64 -> Int64 Source # (*) :: Int64 -> Int64 -> Int64 Source # negate :: Int64 -> Int64 Source # abs :: Int64 -> Int64 Source # signum :: Int64 -> Int64 Source # fromInteger :: Integer -> Int64 Source #
Num Int8 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods (+) :: Int8 -> Int8 -> Int8 Source # (-) :: Int8 -> Int8 -> Int8 Source # (*) :: Int8 -> Int8 -> Int8 Source # negate :: Int8 -> Int8 Source # abs :: Int8 -> Int8 Source # signum :: Int8 -> Int8 Source # fromInteger :: Integer -> Int8 Source #
Num CBlkCnt |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (+) :: CBlkCnt -> CBlkCnt -> CBlkCnt Source # (-) :: CBlkCnt -> CBlkCnt -> CBlkCnt Source # (*) :: CBlkCnt -> CBlkCnt -> CBlkCnt Source # negate :: CBlkCnt -> CBlkCnt Source # abs :: CBlkCnt -> CBlkCnt Source # signum :: CBlkCnt -> CBlkCnt Source # fromInteger :: Integer -> CBlkCnt Source #
Num CBlkSize |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (+) :: CBlkSize -> CBlkSize -> CBlkSize Source # (-) :: CBlkSize -> CBlkSize -> CBlkSize Source # (*) :: CBlkSize -> CBlkSize -> CBlkSize Source # negate :: CBlkSize -> CBlkSize Source # abs :: CBlkSize -> CBlkSize Source # signum :: CBlkSize -> CBlkSize Source # fromInteger :: Integer -> CBlkSize Source #
Num CCc |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (+) :: CCc -> CCc -> CCc Source # (-) :: CCc -> CCc -> CCc Source # (*) :: CCc -> CCc -> CCc Source # negate :: CCc -> CCc Source # abs :: CCc -> CCc Source # signum :: CCc -> CCc Source # fromInteger :: Integer -> CCc Source #
Num CClockId |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (+) :: CClockId -> CClockId -> CClockId Source # (-) :: CClockId -> CClockId -> CClockId Source # (*) :: CClockId -> CClockId -> CClockId Source # negate :: CClockId -> CClockId Source # abs :: CClockId -> CClockId Source # signum :: CClockId -> CClockId Source # fromInteger :: Integer -> CClockId Source #
Num CDev |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (+) :: CDev -> CDev -> CDev Source # (-) :: CDev -> CDev -> CDev Source # (*) :: CDev -> CDev -> CDev Source # negate :: CDev -> CDev Source # abs :: CDev -> CDev Source # signum :: CDev -> CDev Source # fromInteger :: Integer -> CDev Source #
Num CFsBlkCnt |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (+) :: CFsBlkCnt -> CFsBlkCnt -> CFsBlkCnt Source # (-) :: CFsBlkCnt -> CFsBlkCnt -> CFsBlkCnt Source # (*) :: CFsBlkCnt -> CFsBlkCnt -> CFsBlkCnt Source # negate :: CFsBlkCnt -> CFsBlkCnt Source # abs :: CFsBlkCnt -> CFsBlkCnt Source # signum :: CFsBlkCnt -> CFsBlkCnt Source # fromInteger :: Integer -> CFsBlkCnt Source #
Num CFsFilCnt |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (+) :: CFsFilCnt -> CFsFilCnt -> CFsFilCnt Source # (-) :: CFsFilCnt -> CFsFilCnt -> CFsFilCnt Source # (*) :: CFsFilCnt -> CFsFilCnt -> CFsFilCnt Source # negate :: CFsFilCnt -> CFsFilCnt Source # abs :: CFsFilCnt -> CFsFilCnt Source # signum :: CFsFilCnt -> CFsFilCnt Source # fromInteger :: Integer -> CFsFilCnt Source #
Num CGid |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (+) :: CGid -> CGid -> CGid Source # (-) :: CGid -> CGid -> CGid Source # (*) :: CGid -> CGid -> CGid Source # negate :: CGid -> CGid Source # abs :: CGid -> CGid Source # signum :: CGid -> CGid Source # fromInteger :: Integer -> CGid Source #
Num CId |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (+) :: CId -> CId -> CId Source # (-) :: CId -> CId -> CId Source # (*) :: CId -> CId -> CId Source # negate :: CId -> CId Source # abs :: CId -> CId Source # signum :: CId -> CId Source # fromInteger :: Integer -> CId Source #
Num CIno |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (+) :: CIno -> CIno -> CIno Source # (-) :: CIno -> CIno -> CIno Source # (*) :: CIno -> CIno -> CIno Source # negate :: CIno -> CIno Source # abs :: CIno -> CIno Source # signum :: CIno -> CIno Source # fromInteger :: Integer -> CIno Source #
Num CKey |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (+) :: CKey -> CKey -> CKey Source # (-) :: CKey -> CKey -> CKey Source # (*) :: CKey -> CKey -> CKey Source # negate :: CKey -> CKey Source # abs :: CKey -> CKey Source # signum :: CKey -> CKey Source # fromInteger :: Integer -> CKey Source #
Num CMode |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (+) :: CMode -> CMode -> CMode Source # (-) :: CMode -> CMode -> CMode Source # (*) :: CMode -> CMode -> CMode Source # negate :: CMode -> CMode Source # abs :: CMode -> CMode Source # signum :: CMode -> CMode Source # fromInteger :: Integer -> CMode Source #
Num CNfds |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (+) :: CNfds -> CNfds -> CNfds Source # (-) :: CNfds -> CNfds -> CNfds Source # (*) :: CNfds -> CNfds -> CNfds Source # negate :: CNfds -> CNfds Source # abs :: CNfds -> CNfds Source # signum :: CNfds -> CNfds Source # fromInteger :: Integer -> CNfds Source #
Num CNlink |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (+) :: CNlink -> CNlink -> CNlink Source # (-) :: CNlink -> CNlink -> CNlink Source # (*) :: CNlink -> CNlink -> CNlink Source # negate :: CNlink -> CNlink Source # abs :: CNlink -> CNlink Source # signum :: CNlink -> CNlink Source # fromInteger :: Integer -> CNlink Source #
Num COff |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (+) :: COff -> COff -> COff Source # (-) :: COff -> COff -> COff Source # (*) :: COff -> COff -> COff Source # negate :: COff -> COff Source # abs :: COff -> COff Source # signum :: COff -> COff Source # fromInteger :: Integer -> COff Source #
Num CPid |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (+) :: CPid -> CPid -> CPid Source # (-) :: CPid -> CPid -> CPid Source # (*) :: CPid -> CPid -> CPid Source # negate :: CPid -> CPid Source # abs :: CPid -> CPid Source # signum :: CPid -> CPid Source # fromInteger :: Integer -> CPid Source #
Num CRLim |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (+) :: CRLim -> CRLim -> CRLim Source # (-) :: CRLim -> CRLim -> CRLim Source # (*) :: CRLim -> CRLim -> CRLim Source # negate :: CRLim -> CRLim Source # abs :: CRLim -> CRLim Source # signum :: CRLim -> CRLim Source # fromInteger :: Integer -> CRLim Source #
Num CSocklen |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (+) :: CSocklen -> CSocklen -> CSocklen Source # (-) :: CSocklen -> CSocklen -> CSocklen Source # (*) :: CSocklen -> CSocklen -> CSocklen Source # negate :: CSocklen -> CSocklen Source # abs :: CSocklen -> CSocklen Source # signum :: CSocklen -> CSocklen Source # fromInteger :: Integer -> CSocklen Source #
Num CSpeed |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (+) :: CSpeed -> CSpeed -> CSpeed Source # (-) :: CSpeed -> CSpeed -> CSpeed Source # (*) :: CSpeed -> CSpeed -> CSpeed Source # negate :: CSpeed -> CSpeed Source # abs :: CSpeed -> CSpeed Source # signum :: CSpeed -> CSpeed Source # fromInteger :: Integer -> CSpeed Source #
Num CSsize |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (+) :: CSsize -> CSsize -> CSsize Source # (-) :: CSsize -> CSsize -> CSsize Source # (*) :: CSsize -> CSsize -> CSsize Source # negate :: CSsize -> CSsize Source # abs :: CSsize -> CSsize Source # signum :: CSsize -> CSsize Source # fromInteger :: Integer -> CSsize Source #
Num CTcflag |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (+) :: CTcflag -> CTcflag -> CTcflag Source # (-) :: CTcflag -> CTcflag -> CTcflag Source # (*) :: CTcflag -> CTcflag -> CTcflag Source # negate :: CTcflag -> CTcflag Source # abs :: CTcflag -> CTcflag Source # signum :: CTcflag -> CTcflag Source # fromInteger :: Integer -> CTcflag Source #
Num CUid |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (+) :: CUid -> CUid -> CUid Source # (-) :: CUid -> CUid -> CUid Source # (*) :: CUid -> CUid -> CUid Source # negate :: CUid -> CUid Source # abs :: CUid -> CUid Source # signum :: CUid -> CUid Source # fromInteger :: Integer -> CUid Source #
Num Fd |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (+) :: Fd -> Fd -> Fd Source # (-) :: Fd -> Fd -> Fd Source # (*) :: Fd -> Fd -> Fd Source # negate :: Fd -> Fd Source # abs :: Fd -> Fd Source # signum :: Fd -> Fd Source # fromInteger :: Integer -> Fd Source #
Num Word16 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods (+) :: Word16 -> Word16 -> Word16 Source # (-) :: Word16 -> Word16 -> Word16 Source # (*) :: Word16 -> Word16 -> Word16 Source # negate :: Word16 -> Word16 Source # abs :: Word16 -> Word16 Source # signum :: Word16 -> Word16 Source # fromInteger :: Integer -> Word16 Source #
Num Word32 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods (+) :: Word32 -> Word32 -> Word32 Source # (-) :: Word32 -> Word32 -> Word32 Source # (*) :: Word32 -> Word32 -> Word32 Source # negate :: Word32 -> Word32 Source # abs :: Word32 -> Word32 Source # signum :: Word32 -> Word32 Source # fromInteger :: Integer -> Word32 Source #
Num Word64 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods (+) :: Word64 -> Word64 -> Word64 Source # (-) :: Word64 -> Word64 -> Word64 Source # (*) :: Word64 -> Word64 -> Word64 Source # negate :: Word64 -> Word64 Source # abs :: Word64 -> Word64 Source # signum :: Word64 -> Word64 Source # fromInteger :: Integer -> Word64 Source #
Num Word8 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods (+) :: Word8 -> Word8 -> Word8 Source # (-) :: Word8 -> Word8 -> Word8 Source # (*) :: Word8 -> Word8 -> Word8 Source # negate :: Word8 -> Word8 Source # abs :: Word8 -> Word8 Source # signum :: Word8 -> Word8 Source # fromInteger :: Integer -> Word8 Source #
Num Integer | Since: base-2.1
Instance details Defined in GHC.Internal.Num Methods (+) :: Integer -> Integer -> Integer Source # (-) :: Integer -> Integer -> Integer Source # (*) :: Integer -> Integer -> Integer Source # negate :: Integer -> Integer Source # abs :: Integer -> Integer Source # signum :: Integer -> Integer Source # fromInteger :: Integer -> Integer Source #
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 Source # (-) :: Natural -> Natural -> Natural Source # (*) :: Natural -> Natural -> Natural Source # negate :: Natural -> Natural Source # abs :: Natural -> Natural Source # signum :: Natural -> Natural Source # fromInteger :: Integer -> Natural Source #

Num Double

This instance implements IEEE 754 standard with all its usual pitfalls about NaN, infinities and negative zero. Neither addition nor multiplication are associative or distributive:

    >>> (0.1 + 0.1) + 0.4 == 0.1 + (0.1 + 0.4)
    False
    >>> (0.1 + 0.2) * 0.3 == 0.1 * 0.3 + 0.2 * 0.3
    False
    >>> (0.1 * 0.1) * 0.3 == 0.1 * (0.1 * 0.3)
    False

Since: base-2.1

Instance details Defined in GHC.Internal.Float Methods (+) :: Double -> Double -> Double Source # (-) :: Double -> Double -> Double Source # (*) :: Double -> Double -> Double Source # negate :: Double -> Double Source # abs :: Double -> Double Source # signum :: Double -> Double Source # fromInteger :: Integer -> Double Source #

Num Float

This instance implements IEEE 754 standard with all its usual pitfalls about NaN, infinities and negative zero. Neither addition nor multiplication are associative or distributive:

    >>> (0.1 + 0.1 :: Float) + 0.5 == 0.1 + (0.1 + 0.5)
    False
    >>> (0.1 + 0.2 :: Float) * 0.9 == 0.1 * 0.9 + 0.2 * 0.9
    False
    >>> (0.1 * 0.1 :: Float) * 0.9 == 0.1 * (0.1 * 0.9)
    False

Since: base-2.1

Instance details Defined in GHC.Internal.Float Methods (+) :: Float -> Float -> Float Source # (-) :: Float -> Float -> Float Source # (*) :: Float -> Float -> Float Source # negate :: Float -> Float Source # abs :: Float -> Float Source # signum :: Float -> Float Source # fromInteger :: Integer -> Float Source #
Num Int | Since: base-2.1
Instance details Defined in GHC.Internal.Num Methods (+) :: Int -> Int -> Int Source # (-) :: Int -> Int -> Int Source # (*) :: Int -> Int -> Int Source # negate :: Int -> Int Source # abs :: Int -> Int Source # signum :: Int -> Int Source # fromInteger :: Integer -> Int Source #
Num Word | Since: base-2.1
Instance details Defined in GHC.Internal.Num Methods (+) :: Word -> Word -> Word Source # (-) :: Word -> Word -> Word Source # (*) :: Word -> Word -> Word Source # negate :: Word -> Word Source # abs :: Word -> Word Source # signum :: Word -> Word Source # fromInteger :: Integer -> Word Source #
RealFloat a => Num (Complex a) | Since: base-2.1
Instance details Defined in Data.Complex Methods (+) :: Complex a -> Complex a -> Complex a Source # (-) :: Complex a -> Complex a -> Complex a Source # (*) :: Complex a -> Complex a -> Complex a Source # negate :: Complex a -> Complex a Source # abs :: Complex a -> Complex a Source # signum :: Complex a -> Complex a Source # fromInteger :: Integer -> Complex a Source #
Num a => Num (Max a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (+) :: Max a -> Max a -> Max a Source # (-) :: Max a -> Max a -> Max a Source # (*) :: Max a -> Max a -> Max a Source # negate :: Max a -> Max a Source # abs :: Max a -> Max a Source # signum :: Max a -> Max a Source # fromInteger :: Integer -> Max a Source #
Num a => Num (Min a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (+) :: Min a -> Min a -> Min a Source # (-) :: Min a -> Min a -> Min a Source # (*) :: Min a -> Min a -> Min a Source # negate :: Min a -> Min a Source # abs :: Min a -> Min a Source # signum :: Min a -> Min a Source # fromInteger :: Integer -> Min a Source #
Num a => Num (Identity a) | Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Data.Functor.Identity

Methods

(+) :: Identity a -> Identity a -> Identity a Source #

(-) :: Identity a -> Identity a -> Identity a Source #

(*) :: Identity a -> Identity a -> Identity a Source #

negate :: Identity a -> Identity a Source #

abs :: Identity a -> Identity a Source #

signum :: Identity a -> Identity a Source #

fromInteger :: Integer -> Identity a Source #

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 Source # (-) :: Down a -> Down a -> Down a Source # (*) :: Down a -> Down a -> Down a Source # negate :: Down a -> Down a Source # abs :: Down a -> Down a Source # signum :: Down a -> Down a Source # fromInteger :: Integer -> Down a Source #
Num a => Num (Product a) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods (+) :: Product a -> Product a -> Product a Source # (-) :: Product a -> Product a -> Product a Source # (*) :: Product a -> Product a -> Product a Source # negate :: Product a -> Product a Source # abs :: Product a -> Product a Source # signum :: Product a -> Product a Source # fromInteger :: Integer -> Product a Source #
Num a => Num (Sum a) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods (+) :: Sum a -> Sum a -> Sum a Source # (-) :: Sum a -> Sum a -> Sum a Source # (*) :: Sum a -> Sum a -> Sum a Source # negate :: Sum a -> Sum a Source # abs :: Sum a -> Sum a Source # signum :: Sum a -> Sum a Source # fromInteger :: Integer -> Sum a Source #
Integral a => Num (Ratio a) | Since: base-2.0.1
Instance details Defined in GHC.Internal.Real Methods (+) :: Ratio a -> Ratio a -> Ratio a Source # (-) :: Ratio a -> Ratio a -> Ratio a Source # (*) :: Ratio a -> Ratio a -> Ratio a Source # negate :: Ratio a -> Ratio a Source # abs :: Ratio a -> Ratio a Source # signum :: Ratio a -> Ratio a Source # fromInteger :: Integer -> Ratio a Source #

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 Source # (-) :: Fixed a -> Fixed a -> Fixed a Source # (*) :: Fixed a -> Fixed a -> Fixed a Source # negate :: Fixed a -> Fixed a Source # abs :: Fixed a -> Fixed a Source # signum :: Fixed a -> Fixed a Source # fromInteger :: Integer -> Fixed a Source #
Num a => Num (Op a b) |
Instance details Defined in Data.Functor.Contravariant Methods (+) :: Op a b -> Op a b -> Op a b Source # (-) :: Op a b -> Op a b -> Op a b Source # (*) :: Op a b -> Op a b -> Op a b Source # negate :: Op a b -> Op a b Source # abs :: Op a b -> Op a b Source # signum :: Op a b -> Op a b Source # fromInteger :: Integer -> Op a b Source #
Num a => Num (Const a b) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Functor.Const Methods (+) :: Const a b -> Const a b -> Const a b Source # (-) :: Const a b -> Const a b -> Const a b Source # (*) :: Const a b -> Const a b -> Const a b Source # negate :: Const a b -> Const a b Source # abs :: Const a b -> Const a b Source # signum :: Const a b -> Const a b Source # fromInteger :: Integer -> Const a b Source #

(Applicative f, Num a) => Num (Ap f a)

Note that even if the underlying `Num` and `Applicative` instances are lawful, for most `Applicative`s, this instance will not be lawful. If you use this instance with the list `Applicative`, the following customary laws will not hold:

Commutativity:

    >>> Ap [10,20] + Ap [1,2]
    Ap {getAp = [11,12,21,22]}
    >>> Ap [1,2] + Ap [10,20]
    Ap {getAp = [11,21,12,22]}

Additive inverse:

    >>> Ap [] + negate (Ap [])
    Ap {getAp = []}
    >>> fromInteger 0 :: Ap [] Int
    Ap {getAp = [0]}

Distributivity:

    >>> Ap [1,2] * (3 + 4)
    Ap {getAp = [7,14]}
    >>> (Ap [1,2] * 3) + (Ap [1,2] * 4)
    Ap {getAp = [7,11,10,14]}

Since: base-4.12.0.0

Instance details Defined in GHC.Internal.Data.Monoid Methods (+) :: Ap f a -> Ap f a -> Ap f a Source # (-) :: Ap f a -> Ap f a -> Ap f a Source # (*) :: Ap f a -> Ap f a -> Ap f a Source # negate :: Ap f a -> Ap f a Source # abs :: Ap f a -> Ap f a Source # signum :: Ap f a -> Ap f a Source # fromInteger :: Integer -> Ap f a Source #
Num (f a) => Num (Alt f a) | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods (+) :: Alt f a -> Alt f a -> Alt f a Source # (-) :: Alt f a -> Alt f a -> Alt f a Source # (*) :: Alt f a -> Alt f a -> Alt f a Source # negate :: Alt f a -> Alt f a Source # abs :: Alt f a -> Alt f a Source # signum :: Alt f a -> Alt f a Source # fromInteger :: Integer -> Alt f a Source #
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 Source #

(-) :: Compose f g a -> Compose f g a -> Compose f g a Source #

(*) :: Compose f g a -> Compose f g a -> Compose f g a Source #

negate :: Compose f g a -> Compose f g a Source #

abs :: Compose f g a -> Compose f g a Source #

signum :: Compose f g a -> Compose f g a Source #

fromInteger :: Integer -> Compose f g a Source #

class Num a => Fractional a where Source #

Fractional numbers, supporting real division.

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

`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 Source #

Fractional division.

recip :: a -> a Source #

Reciprocal fraction.

fromRational :: Rational -> a Source #

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 Double

This instance implements IEEE 754 standard with all its usual pitfalls about NaN, infinities and negative zero.

    >>> 0 == (-0 :: Double)
    True
    >>> recip 0 == recip (-0 :: Double)
    False
    >>> map (/ 0) [-1, 0, 1]
    [-Infinity,NaN,Infinity]
    >>> map (* 0) $ map (/ 0) [-1, 0, 1]
    [NaN,NaN,NaN]

Since: base-2.1

Instance details Defined in GHC.Internal.Float Methods (/) :: Double -> Double -> Double Source # recip :: Double -> Double Source # fromRational :: Rational -> Double Source #

Fractional Float

This instance implements IEEE 754 standard with all its usual pitfalls about NaN, infinities and negative zero.

    >>> 0 == (-0 :: Float)
    True
    >>> recip 0 == recip (-0 :: Float)
    False
    >>> map (/ 0) [-1, 0, 1 :: Float]
    [-Infinity,NaN,Infinity]
    >>> map (* 0) $ map (/ 0) [-1, 0, 1 :: Float]
    [NaN,NaN,NaN]

Since: base-2.1

Instance details Defined in GHC.Internal.Float Methods (/) :: Float -> Float -> Float Source # recip :: Float -> Float Source # fromRational :: Rational -> Float Source #
RealFloat a => Fractional (Complex a) | Since: base-2.1
Instance details Defined in Data.Complex Methods (/) :: Complex a -> Complex a -> Complex a Source # recip :: Complex a -> Complex a Source # fromRational :: Rational -> Complex a Source #
Fractional a => Fractional (Identity a) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Functor.Identity Methods (/) :: Identity a -> Identity a -> Identity a Source # recip :: Identity a -> Identity a Source # fromRational :: Rational -> Identity a Source #
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 Source # recip :: Down a -> Down a Source # fromRational :: Rational -> Down a Source #
Integral a => Fractional (Ratio a) | Since: base-2.0.1
Instance details Defined in GHC.Internal.Real Methods (/) :: Ratio a -> Ratio a -> Ratio a Source # recip :: Ratio a -> Ratio a Source # fromRational :: Rational -> Ratio a Source #
HasResolution a => Fractional (Fixed a) | Since: base-2.1
Instance details Defined in Data.Fixed Methods (/) :: Fixed a -> Fixed a -> Fixed a Source # recip :: Fixed a -> Fixed a Source # fromRational :: Rational -> Fixed a Source #
Fractional a => Fractional (Op a b) |
Instance details Defined in Data.Functor.Contravariant Methods (/) :: Op a b -> Op a b -> Op a b Source # recip :: Op a b -> Op a b Source # fromRational :: Rational -> Op a b Source #
Fractional a => Fractional (Const a b) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Functor.Const Methods (/) :: Const a b -> Const a b -> Const a b Source # recip :: Const a b -> Const a b Source # fromRational :: Rational -> Const a b Source #
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 Source # recip :: Compose f g a -> Compose f g a Source # fromRational :: Rational -> Compose f g a Source #

class Enum a where Source #

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 Source #

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

pred :: a -> a Source #

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

toEnum :: Int -> a Source #

Convert from an `Int`.

fromEnum :: a -> Int Source #

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] Source #

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] Source #

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

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

#### Examples

Expand

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

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

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

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

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

#### Examples

Expand

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

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

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

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

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

and

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

#### Examples

Expand

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

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

#### Instances

Instances details

Enum IntPtr |

Instance details

Defined in GHC.Internal.Foreign.Ptr

Methods

succ :: IntPtr -> IntPtr Source #

pred :: IntPtr -> IntPtr Source #

toEnum :: Int -> IntPtr Source #

fromEnum :: IntPtr -> Int Source #

enumFrom :: IntPtr -> [IntPtr] Source #

enumFromThen :: IntPtr -> IntPtr -> [IntPtr] Source #

enumFromTo :: IntPtr -> IntPtr -> [IntPtr] Source #

enumFromThenTo :: IntPtr -> IntPtr -> IntPtr -> [IntPtr] Source #

Enum WordPtr |

Instance details

Defined in GHC.Internal.Foreign.Ptr

Methods

succ :: WordPtr -> WordPtr Source #

pred :: WordPtr -> WordPtr Source #

toEnum :: Int -> WordPtr Source #

fromEnum :: WordPtr -> Int Source #

enumFrom :: WordPtr -> [WordPtr] Source #

enumFromThen :: WordPtr -> WordPtr -> [WordPtr] Source #

enumFromTo :: WordPtr -> WordPtr -> [WordPtr] Source #

enumFromThenTo :: WordPtr -> WordPtr -> WordPtr -> [WordPtr] Source #

Enum Associativity | Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

succ :: Associativity -> Associativity Source #

pred :: Associativity -> Associativity Source #

toEnum :: Int -> Associativity Source #

fromEnum :: Associativity -> Int Source #

enumFrom :: Associativity -> [Associativity] Source #

enumFromThen :: Associativity -> Associativity -> [Associativity] Source #

enumFromTo :: Associativity -> Associativity -> [Associativity] Source #

enumFromThenTo :: Associativity -> Associativity -> Associativity -> [Associativity] Source #

Enum DecidedStrictness | Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

succ :: DecidedStrictness -> DecidedStrictness Source #

pred :: DecidedStrictness -> DecidedStrictness Source #

toEnum :: Int -> DecidedStrictness Source #

fromEnum :: DecidedStrictness -> Int Source #

enumFrom :: DecidedStrictness -> [DecidedStrictness] Source #

enumFromThen :: DecidedStrictness -> DecidedStrictness -> [DecidedStrictness] Source #

enumFromTo :: DecidedStrictness -> DecidedStrictness -> [DecidedStrictness] Source #

enumFromThenTo :: DecidedStrictness -> DecidedStrictness -> DecidedStrictness -> [DecidedStrictness] Source #

Enum SourceStrictness | Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

succ :: SourceStrictness -> SourceStrictness Source #

pred :: SourceStrictness -> SourceStrictness Source #

toEnum :: Int -> SourceStrictness Source #

fromEnum :: SourceStrictness -> Int Source #

enumFrom :: SourceStrictness -> [SourceStrictness] Source #

enumFromThen :: SourceStrictness -> SourceStrictness -> [SourceStrictness] Source #

enumFromTo :: SourceStrictness -> SourceStrictness -> [SourceStrictness] Source #

enumFromThenTo :: SourceStrictness -> SourceStrictness -> SourceStrictness -> [SourceStrictness] Source #

Enum SourceUnpackedness | Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

succ :: SourceUnpackedness -> SourceUnpackedness Source #

pred :: SourceUnpackedness -> SourceUnpackedness Source #

toEnum :: Int -> SourceUnpackedness Source #

fromEnum :: SourceUnpackedness -> Int Source #

enumFrom :: SourceUnpackedness -> [SourceUnpackedness] Source #

enumFromThen :: SourceUnpackedness -> SourceUnpackedness -> [SourceUnpackedness] Source #

enumFromTo :: SourceUnpackedness -> SourceUnpackedness -> [SourceUnpackedness] Source #

enumFromThenTo :: SourceUnpackedness -> SourceUnpackedness -> SourceUnpackedness -> [SourceUnpackedness] Source #

Enum SeekMode | Since: base-4.2.0.0

Instance details

Defined in GHC.Internal.IO.Device

Methods

succ :: SeekMode -> SeekMode Source #

pred :: SeekMode -> SeekMode Source #

toEnum :: Int -> SeekMode Source #

fromEnum :: SeekMode -> Int Source #

enumFrom :: SeekMode -> [SeekMode] Source #

enumFromThen :: SeekMode -> SeekMode -> [SeekMode] Source #

enumFromTo :: SeekMode -> SeekMode -> [SeekMode] Source #

enumFromThenTo :: SeekMode -> SeekMode -> SeekMode -> [SeekMode] Source #

Enum IOMode | Since: base-4.2.0.0

Instance details

Defined in GHC.Internal.IO.IOMode

Methods

succ :: IOMode -> IOMode Source #

pred :: IOMode -> IOMode Source #

toEnum :: Int -> IOMode Source #

fromEnum :: IOMode -> Int Source #

enumFrom :: IOMode -> [IOMode] Source #

enumFromThen :: IOMode -> IOMode -> [IOMode] Source #

enumFromTo :: IOMode -> IOMode -> [IOMode] Source #

enumFromThenTo :: IOMode -> IOMode -> IOMode -> [IOMode] Source #

Enum Int16 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods succ :: Int16 -> Int16 Source # pred :: Int16 -> Int16 Source # toEnum :: Int -> Int16 Source # fromEnum :: Int16 -> Int Source # enumFrom :: Int16 -> [Int16] Source # enumFromThen :: Int16 -> Int16 -> [Int16] Source # enumFromTo :: Int16 -> Int16 -> [Int16] Source # enumFromThenTo :: Int16 -> Int16 -> Int16 -> [Int16] Source #
Enum Int32 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods succ :: Int32 -> Int32 Source # pred :: Int32 -> Int32 Source # toEnum :: Int -> Int32 Source # fromEnum :: Int32 -> Int Source # enumFrom :: Int32 -> [Int32] Source # enumFromThen :: Int32 -> Int32 -> [Int32] Source # enumFromTo :: Int32 -> Int32 -> [Int32] Source # enumFromThenTo :: Int32 -> Int32 -> Int32 -> [Int32] Source #
Enum Int64 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods succ :: Int64 -> Int64 Source # pred :: Int64 -> Int64 Source # toEnum :: Int -> Int64 Source # fromEnum :: Int64 -> Int Source # enumFrom :: Int64 -> [Int64] Source # enumFromThen :: Int64 -> Int64 -> [Int64] Source # enumFromTo :: Int64 -> Int64 -> [Int64] Source # enumFromThenTo :: Int64 -> Int64 -> Int64 -> [Int64] Source #
Enum Int8 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods succ :: Int8 -> Int8 Source # pred :: Int8 -> Int8 Source # toEnum :: Int -> Int8 Source # fromEnum :: Int8 -> Int Source # enumFrom :: Int8 -> [Int8] Source # enumFromThen :: Int8 -> Int8 -> [Int8] Source # enumFromTo :: Int8 -> Int8 -> [Int8] Source # enumFromThenTo :: Int8 -> Int8 -> Int8 -> [Int8] Source #
Enum CBlkCnt |

Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

succ :: CBlkCnt -> CBlkCnt Source #

pred :: CBlkCnt -> CBlkCnt Source #

toEnum :: Int -> CBlkCnt Source #

fromEnum :: CBlkCnt -> Int Source #

enumFrom :: CBlkCnt -> [CBlkCnt] Source #

enumFromThen :: CBlkCnt -> CBlkCnt -> [CBlkCnt] Source #

enumFromTo :: CBlkCnt -> CBlkCnt -> [CBlkCnt] Source #

enumFromThenTo :: CBlkCnt -> CBlkCnt -> CBlkCnt -> [CBlkCnt] Source #

Enum CBlkSize |

Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

succ :: CBlkSize -> CBlkSize Source #

pred :: CBlkSize -> CBlkSize Source #

toEnum :: Int -> CBlkSize Source #

fromEnum :: CBlkSize -> Int Source #

enumFrom :: CBlkSize -> [CBlkSize] Source #

enumFromThen :: CBlkSize -> CBlkSize -> [CBlkSize] Source #

enumFromTo :: CBlkSize -> CBlkSize -> [CBlkSize] Source #

enumFromThenTo :: CBlkSize -> CBlkSize -> CBlkSize -> [CBlkSize] Source #

Enum CCc |
Instance details Defined in GHC.Internal.System.Posix.Types Methods succ :: CCc -> CCc Source # pred :: CCc -> CCc Source # toEnum :: Int -> CCc Source # fromEnum :: CCc -> Int Source # enumFrom :: CCc -> [CCc] Source # enumFromThen :: CCc -> CCc -> [CCc] Source # enumFromTo :: CCc -> CCc -> [CCc] Source # enumFromThenTo :: CCc -> CCc -> CCc -> [CCc] Source #
Enum CClockId |

Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

succ :: CClockId -> CClockId Source #

pred :: CClockId -> CClockId Source #

toEnum :: Int -> CClockId Source #

fromEnum :: CClockId -> Int Source #

enumFrom :: CClockId -> [CClockId] Source #

enumFromThen :: CClockId -> CClockId -> [CClockId] Source #

enumFromTo :: CClockId -> CClockId -> [CClockId] Source #

enumFromThenTo :: CClockId -> CClockId -> CClockId -> [CClockId] Source #

Enum CDev |
Instance details Defined in GHC.Internal.System.Posix.Types Methods succ :: CDev -> CDev Source # pred :: CDev -> CDev Source # toEnum :: Int -> CDev Source # fromEnum :: CDev -> Int Source # enumFrom :: CDev -> [CDev] Source # enumFromThen :: CDev -> CDev -> [CDev] Source # enumFromTo :: CDev -> CDev -> [CDev] Source # enumFromThenTo :: CDev -> CDev -> CDev -> [CDev] Source #
Enum CFsBlkCnt |

Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

succ :: CFsBlkCnt -> CFsBlkCnt Source #

pred :: CFsBlkCnt -> CFsBlkCnt Source #

toEnum :: Int -> CFsBlkCnt Source #

fromEnum :: CFsBlkCnt -> Int Source #

enumFrom :: CFsBlkCnt -> [CFsBlkCnt] Source #

enumFromThen :: CFsBlkCnt -> CFsBlkCnt -> [CFsBlkCnt] Source #

enumFromTo :: CFsBlkCnt -> CFsBlkCnt -> [CFsBlkCnt] Source #

enumFromThenTo :: CFsBlkCnt -> CFsBlkCnt -> CFsBlkCnt -> [CFsBlkCnt] Source #

Enum CFsFilCnt |

Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

succ :: CFsFilCnt -> CFsFilCnt Source #

pred :: CFsFilCnt -> CFsFilCnt Source #

toEnum :: Int -> CFsFilCnt Source #

fromEnum :: CFsFilCnt -> Int Source #

enumFrom :: CFsFilCnt -> [CFsFilCnt] Source #

enumFromThen :: CFsFilCnt -> CFsFilCnt -> [CFsFilCnt] Source #

enumFromTo :: CFsFilCnt -> CFsFilCnt -> [CFsFilCnt] Source #

enumFromThenTo :: CFsFilCnt -> CFsFilCnt -> CFsFilCnt -> [CFsFilCnt] Source #

Enum CGid |
Instance details Defined in GHC.Internal.System.Posix.Types Methods succ :: CGid -> CGid Source # pred :: CGid -> CGid Source # toEnum :: Int -> CGid Source # fromEnum :: CGid -> Int Source # enumFrom :: CGid -> [CGid] Source # enumFromThen :: CGid -> CGid -> [CGid] Source # enumFromTo :: CGid -> CGid -> [CGid] Source # enumFromThenTo :: CGid -> CGid -> CGid -> [CGid] Source #
Enum CId |
Instance details Defined in GHC.Internal.System.Posix.Types Methods succ :: CId -> CId Source # pred :: CId -> CId Source # toEnum :: Int -> CId Source # fromEnum :: CId -> Int Source # enumFrom :: CId -> [CId] Source # enumFromThen :: CId -> CId -> [CId] Source # enumFromTo :: CId -> CId -> [CId] Source # enumFromThenTo :: CId -> CId -> CId -> [CId] Source #
Enum CIno |
Instance details Defined in GHC.Internal.System.Posix.Types Methods succ :: CIno -> CIno Source # pred :: CIno -> CIno Source # toEnum :: Int -> CIno Source # fromEnum :: CIno -> Int Source # enumFrom :: CIno -> [CIno] Source # enumFromThen :: CIno -> CIno -> [CIno] Source # enumFromTo :: CIno -> CIno -> [CIno] Source # enumFromThenTo :: CIno -> CIno -> CIno -> [CIno] Source #
Enum CKey |
Instance details Defined in GHC.Internal.System.Posix.Types Methods succ :: CKey -> CKey Source # pred :: CKey -> CKey Source # toEnum :: Int -> CKey Source # fromEnum :: CKey -> Int Source # enumFrom :: CKey -> [CKey] Source # enumFromThen :: CKey -> CKey -> [CKey] Source # enumFromTo :: CKey -> CKey -> [CKey] Source # enumFromThenTo :: CKey -> CKey -> CKey -> [CKey] Source #
Enum CMode |
Instance details Defined in GHC.Internal.System.Posix.Types Methods succ :: CMode -> CMode Source # pred :: CMode -> CMode Source # toEnum :: Int -> CMode Source # fromEnum :: CMode -> Int Source # enumFrom :: CMode -> [CMode] Source # enumFromThen :: CMode -> CMode -> [CMode] Source # enumFromTo :: CMode -> CMode -> [CMode] Source # enumFromThenTo :: CMode -> CMode -> CMode -> [CMode] Source #
Enum CNfds |
Instance details Defined in GHC.Internal.System.Posix.Types Methods succ :: CNfds -> CNfds Source # pred :: CNfds -> CNfds Source # toEnum :: Int -> CNfds Source # fromEnum :: CNfds -> Int Source # enumFrom :: CNfds -> [CNfds] Source # enumFromThen :: CNfds -> CNfds -> [CNfds] Source # enumFromTo :: CNfds -> CNfds -> [CNfds] Source # enumFromThenTo :: CNfds -> CNfds -> CNfds -> [CNfds] Source #
Enum CNlink |

Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

succ :: CNlink -> CNlink Source #

pred :: CNlink -> CNlink Source #

toEnum :: Int -> CNlink Source #

fromEnum :: CNlink -> Int Source #

enumFrom :: CNlink -> [CNlink] Source #

enumFromThen :: CNlink -> CNlink -> [CNlink] Source #

enumFromTo :: CNlink -> CNlink -> [CNlink] Source #

enumFromThenTo :: CNlink -> CNlink -> CNlink -> [CNlink] Source #

Enum COff |
Instance details Defined in GHC.Internal.System.Posix.Types Methods succ :: COff -> COff Source # pred :: COff -> COff Source # toEnum :: Int -> COff Source # fromEnum :: COff -> Int Source # enumFrom :: COff -> [COff] Source # enumFromThen :: COff -> COff -> [COff] Source # enumFromTo :: COff -> COff -> [COff] Source # enumFromThenTo :: COff -> COff -> COff -> [COff] Source #
Enum CPid |
Instance details Defined in GHC.Internal.System.Posix.Types Methods succ :: CPid -> CPid Source # pred :: CPid -> CPid Source # toEnum :: Int -> CPid Source # fromEnum :: CPid -> Int Source # enumFrom :: CPid -> [CPid] Source # enumFromThen :: CPid -> CPid -> [CPid] Source # enumFromTo :: CPid -> CPid -> [CPid] Source # enumFromThenTo :: CPid -> CPid -> CPid -> [CPid] Source #
Enum CRLim |
Instance details Defined in GHC.Internal.System.Posix.Types Methods succ :: CRLim -> CRLim Source # pred :: CRLim -> CRLim Source # toEnum :: Int -> CRLim Source # fromEnum :: CRLim -> Int Source # enumFrom :: CRLim -> [CRLim] Source # enumFromThen :: CRLim -> CRLim -> [CRLim] Source # enumFromTo :: CRLim -> CRLim -> [CRLim] Source # enumFromThenTo :: CRLim -> CRLim -> CRLim -> [CRLim] Source #
Enum CSocklen |

Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

succ :: CSocklen -> CSocklen Source #

pred :: CSocklen -> CSocklen Source #

toEnum :: Int -> CSocklen Source #

fromEnum :: CSocklen -> Int Source #

enumFrom :: CSocklen -> [CSocklen] Source #

enumFromThen :: CSocklen -> CSocklen -> [CSocklen] Source #

enumFromTo :: CSocklen -> CSocklen -> [CSocklen] Source #

enumFromThenTo :: CSocklen -> CSocklen -> CSocklen -> [CSocklen] Source #

Enum CSpeed |

Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

succ :: CSpeed -> CSpeed Source #

pred :: CSpeed -> CSpeed Source #

toEnum :: Int -> CSpeed Source #

fromEnum :: CSpeed -> Int Source #

enumFrom :: CSpeed -> [CSpeed] Source #

enumFromThen :: CSpeed -> CSpeed -> [CSpeed] Source #

enumFromTo :: CSpeed -> CSpeed -> [CSpeed] Source #

enumFromThenTo :: CSpeed -> CSpeed -> CSpeed -> [CSpeed] Source #

Enum CSsize |

Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

succ :: CSsize -> CSsize Source #

pred :: CSsize -> CSsize Source #

toEnum :: Int -> CSsize Source #

fromEnum :: CSsize -> Int Source #

enumFrom :: CSsize -> [CSsize] Source #

enumFromThen :: CSsize -> CSsize -> [CSsize] Source #

enumFromTo :: CSsize -> CSsize -> [CSsize] Source #

enumFromThenTo :: CSsize -> CSsize -> CSsize -> [CSsize] Source #

Enum CTcflag |

Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

succ :: CTcflag -> CTcflag Source #

pred :: CTcflag -> CTcflag Source #

toEnum :: Int -> CTcflag Source #

fromEnum :: CTcflag -> Int Source #

enumFrom :: CTcflag -> [CTcflag] Source #

enumFromThen :: CTcflag -> CTcflag -> [CTcflag] Source #

enumFromTo :: CTcflag -> CTcflag -> [CTcflag] Source #

enumFromThenTo :: CTcflag -> CTcflag -> CTcflag -> [CTcflag] Source #

Enum CUid |
Instance details Defined in GHC.Internal.System.Posix.Types Methods succ :: CUid -> CUid Source # pred :: CUid -> CUid Source # toEnum :: Int -> CUid Source # fromEnum :: CUid -> Int Source # enumFrom :: CUid -> [CUid] Source # enumFromThen :: CUid -> CUid -> [CUid] Source # enumFromTo :: CUid -> CUid -> [CUid] Source # enumFromThenTo :: CUid -> CUid -> CUid -> [CUid] Source #
Enum Fd |
Instance details Defined in GHC.Internal.System.Posix.Types Methods succ :: Fd -> Fd Source # pred :: Fd -> Fd Source # toEnum :: Int -> Fd Source # fromEnum :: Fd -> Int Source # enumFrom :: Fd -> [Fd] Source # enumFromThen :: Fd -> Fd -> [Fd] Source # enumFromTo :: Fd -> Fd -> [Fd] Source # enumFromThenTo :: Fd -> Fd -> Fd -> [Fd] Source #
Enum GeneralCategory | Since: base-2.1

Instance details

Defined in GHC.Internal.Unicode

Methods

succ :: GeneralCategory -> GeneralCategory Source #

pred :: GeneralCategory -> GeneralCategory Source #

toEnum :: Int -> GeneralCategory Source #

fromEnum :: GeneralCategory -> Int Source #

enumFrom :: GeneralCategory -> [GeneralCategory] Source #

enumFromThen :: GeneralCategory -> GeneralCategory -> [GeneralCategory] Source #

enumFromTo :: GeneralCategory -> GeneralCategory -> [GeneralCategory] Source #

enumFromThenTo :: GeneralCategory -> GeneralCategory -> GeneralCategory -> [GeneralCategory] Source #

Enum Word16 | Since: base-2.1

Instance details

Defined in GHC.Internal.Word

Methods

succ :: Word16 -> Word16 Source #

pred :: Word16 -> Word16 Source #

toEnum :: Int -> Word16 Source #

fromEnum :: Word16 -> Int Source #

enumFrom :: Word16 -> [Word16] Source #

enumFromThen :: Word16 -> Word16 -> [Word16] Source #

enumFromTo :: Word16 -> Word16 -> [Word16] Source #

enumFromThenTo :: Word16 -> Word16 -> Word16 -> [Word16] Source #

Enum Word32 | Since: base-2.1

Instance details

Defined in GHC.Internal.Word

Methods

succ :: Word32 -> Word32 Source #

pred :: Word32 -> Word32 Source #

toEnum :: Int -> Word32 Source #

fromEnum :: Word32 -> Int Source #

enumFrom :: Word32 -> [Word32] Source #

enumFromThen :: Word32 -> Word32 -> [Word32] Source #

enumFromTo :: Word32 -> Word32 -> [Word32] Source #

enumFromThenTo :: Word32 -> Word32 -> Word32 -> [Word32] Source #

Enum Word64 | Since: base-2.1

Instance details

Defined in GHC.Internal.Word

Methods

succ :: Word64 -> Word64 Source #

pred :: Word64 -> Word64 Source #

toEnum :: Int -> Word64 Source #

fromEnum :: Word64 -> Int Source #

enumFrom :: Word64 -> [Word64] Source #

enumFromThen :: Word64 -> Word64 -> [Word64] Source #

enumFromTo :: Word64 -> Word64 -> [Word64] Source #

enumFromThenTo :: Word64 -> Word64 -> Word64 -> [Word64] Source #

Enum Word8 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods succ :: Word8 -> Word8 Source # pred :: Word8 -> Word8 Source # toEnum :: Int -> Word8 Source # fromEnum :: Word8 -> Int Source # enumFrom :: Word8 -> [Word8] Source # enumFromThen :: Word8 -> Word8 -> [Word8] Source # enumFromTo :: Word8 -> Word8 -> [Word8] Source # enumFromThenTo :: Word8 -> Word8 -> Word8 -> [Word8] Source #
Enum Ordering | Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Methods

succ :: Ordering -> Ordering Source #

pred :: Ordering -> Ordering Source #

toEnum :: Int -> Ordering Source #

fromEnum :: Ordering -> Int Source #

enumFrom :: Ordering -> [Ordering] Source #

enumFromThen :: Ordering -> Ordering -> [Ordering] Source #

enumFromTo :: Ordering -> Ordering -> [Ordering] Source #

enumFromThenTo :: Ordering -> Ordering -> Ordering -> [Ordering] Source #

Enum Integer | Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Methods

succ :: Integer -> Integer Source #

pred :: Integer -> Integer Source #

toEnum :: Int -> Integer Source #

fromEnum :: Integer -> Int Source #

enumFrom :: Integer -> [Integer] Source #

enumFromThen :: Integer -> Integer -> [Integer] Source #

enumFromTo :: Integer -> Integer -> [Integer] Source #

enumFromThenTo :: Integer -> Integer -> Integer -> [Integer] Source #

Enum Natural | Since: base-4.8.0.0

Instance details

Defined in GHC.Internal.Enum

Methods

succ :: Natural -> Natural Source #

pred :: Natural -> Natural Source #

toEnum :: Int -> Natural Source #

fromEnum :: Natural -> Int Source #

enumFrom :: Natural -> [Natural] Source #

enumFromThen :: Natural -> Natural -> [Natural] Source #

enumFromTo :: Natural -> Natural -> [Natural] Source #

enumFromThenTo :: Natural -> Natural -> Natural -> [Natural] Source #

Enum () | Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods succ :: () -> () Source # pred :: () -> () Source # toEnum :: Int -> () Source # fromEnum :: () -> Int Source # enumFrom :: () -> [()] Source # enumFromThen :: () -> () -> [()] Source # enumFromTo :: () -> () -> [()] Source # enumFromThenTo :: () -> () -> () -> [()] Source #
Enum Bool | Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods succ :: Bool -> Bool Source # pred :: Bool -> Bool Source # toEnum :: Int -> Bool Source # fromEnum :: Bool -> Int Source # enumFrom :: Bool -> [Bool] Source # enumFromThen :: Bool -> Bool -> [Bool] Source # enumFromTo :: Bool -> Bool -> [Bool] Source # enumFromThenTo :: Bool -> Bool -> Bool -> [Bool] Source #
Enum Char | Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods succ :: Char -> Char Source # pred :: Char -> Char Source # toEnum :: Int -> Char Source # fromEnum :: Char -> Int Source # enumFrom :: Char -> [Char] Source # enumFromThen :: Char -> Char -> [Char] Source # enumFromTo :: Char -> Char -> [Char] Source # enumFromThenTo :: Char -> Char -> Char -> [Char] Source #

Enum Double

`fromEnum` just truncates its argument, beware of all sorts of overflows.

List generators have extremely peculiar behavior, mandated by Haskell Report 2010:

    >>> [0..1.5]
    [0.0,1.0,2.0]

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

succ :: Double -> Double Source #

pred :: Double -> Double Source #

toEnum :: Int -> Double Source #

fromEnum :: Double -> Int Source #

enumFrom :: Double -> [Double] Source #

enumFromThen :: Double -> Double -> [Double] Source #

enumFromTo :: Double -> Double -> [Double] Source #

enumFromThenTo :: Double -> Double -> Double -> [Double] Source #

Enum Float

`fromEnum` just truncates its argument, beware of all sorts of overflows.

List generators have extremely peculiar behavior, mandated by Haskell Report 2010:

    >>> [0..1.5 :: Float]
    [0.0,1.0,2.0]

Since: base-2.1

Instance details Defined in GHC.Internal.Float Methods succ :: Float -> Float Source # pred :: Float -> Float Source # toEnum :: Int -> Float Source # fromEnum :: Float -> Int Source # enumFrom :: Float -> [Float] Source # enumFromThen :: Float -> Float -> [Float] Source # enumFromTo :: Float -> Float -> [Float] Source # enumFromThenTo :: Float -> Float -> Float -> [Float] Source #
Enum Int | Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods succ :: Int -> Int Source # pred :: Int -> Int Source # toEnum :: Int -> Int Source # fromEnum :: Int -> Int Source # enumFrom :: Int -> [Int] Source # enumFromThen :: Int -> Int -> [Int] Source # enumFromTo :: Int -> Int -> [Int] Source # enumFromThenTo :: Int -> Int -> Int -> [Int] Source #
Enum Levity | Since: base-4.16.0.0

Instance details

Defined in GHC.Internal.Enum

Methods

succ :: Levity -> Levity Source #

pred :: Levity -> Levity Source #

toEnum :: Int -> Levity Source #

fromEnum :: Levity -> Int Source #

enumFrom :: Levity -> [Levity] Source #

enumFromThen :: Levity -> Levity -> [Levity] Source #

enumFromTo :: Levity -> Levity -> [Levity] Source #

enumFromThenTo :: Levity -> Levity -> Levity -> [Levity] Source #

Enum VecCount | Since: base-4.10.0.0

Instance details

Defined in GHC.Internal.Enum

Methods

succ :: VecCount -> VecCount Source #

pred :: VecCount -> VecCount Source #

toEnum :: Int -> VecCount Source #

fromEnum :: VecCount -> Int Source #

enumFrom :: VecCount -> [VecCount] Source #

enumFromThen :: VecCount -> VecCount -> [VecCount] Source #

enumFromTo :: VecCount -> VecCount -> [VecCount] Source #

enumFromThenTo :: VecCount -> VecCount -> VecCount -> [VecCount] Source #

Enum VecElem | Since: base-4.10.0.0

Instance details

Defined in GHC.Internal.Enum

Methods

succ :: VecElem -> VecElem Source #

pred :: VecElem -> VecElem Source #

toEnum :: Int -> VecElem Source #

fromEnum :: VecElem -> Int Source #

enumFrom :: VecElem -> [VecElem] Source #

enumFromThen :: VecElem -> VecElem -> [VecElem] Source #

enumFromTo :: VecElem -> VecElem -> [VecElem] Source #

enumFromThenTo :: VecElem -> VecElem -> VecElem -> [VecElem] Source #

Enum Word | Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods succ :: Word -> Word Source # pred :: Word -> Word Source # toEnum :: Int -> Word Source # fromEnum :: Word -> Int Source # enumFrom :: Word -> [Word] Source # enumFromThen :: Word -> Word -> [Word] Source # enumFromTo :: Word -> Word -> [Word] Source # enumFromThenTo :: Word -> Word -> Word -> [Word] Source #
Enum a => Enum (First a) | Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

succ :: First a -> First a Source #

pred :: First a -> First a Source #

toEnum :: Int -> First a Source #

fromEnum :: First a -> Int Source #

enumFrom :: First a -> [First a] Source #

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

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

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

Enum a => Enum (Last a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods succ :: Last a -> Last a Source # pred :: Last a -> Last a Source # toEnum :: Int -> Last a Source # fromEnum :: Last a -> Int Source # enumFrom :: Last a -> [Last a] Source # enumFromThen :: Last a -> Last a -> [Last a] Source # enumFromTo :: Last a -> Last a -> [Last a] Source # enumFromThenTo :: Last a -> Last a -> Last a -> [Last a] Source #
Enum a => Enum (Max a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods succ :: Max a -> Max a Source # pred :: Max a -> Max a Source # toEnum :: Int -> Max a Source # fromEnum :: Max a -> Int Source # enumFrom :: Max a -> [Max a] Source # enumFromThen :: Max a -> Max a -> [Max a] Source # enumFromTo :: Max a -> Max a -> [Max a] Source # enumFromThenTo :: Max a -> Max a -> Max a -> [Max a] Source #
Enum a => Enum (Min a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods succ :: Min a -> Min a Source # pred :: Min a -> Min a Source # toEnum :: Int -> Min a Source # fromEnum :: Min a -> Int Source # enumFrom :: Min a -> [Min a] Source # enumFromThen :: Min a -> Min a -> [Min a] Source # enumFromTo :: Min a -> Min a -> [Min a] Source # enumFromThenTo :: Min a -> Min a -> Min a -> [Min a] Source #
Enum a => Enum (WrappedMonoid a) | Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

succ :: WrappedMonoid a -> WrappedMonoid a Source #

pred :: WrappedMonoid a -> WrappedMonoid a Source #

toEnum :: Int -> WrappedMonoid a Source #

fromEnum :: WrappedMonoid a -> Int Source #

enumFrom :: WrappedMonoid a -> [WrappedMonoid a] Source #

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

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

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

Enum a => Enum (And a) | Since: base-4.16
Instance details Defined in GHC.Internal.Data.Bits Methods succ :: And a -> And a Source # pred :: And a -> And a Source # toEnum :: Int -> And a Source # fromEnum :: And a -> Int Source # enumFrom :: And a -> [And a] Source # enumFromThen :: And a -> And a -> [And a] Source # enumFromTo :: And a -> And a -> [And a] Source # enumFromThenTo :: And a -> And a -> And a -> [And a] Source #
Enum a => Enum (Iff a) | Since: base-4.16
Instance details Defined in GHC.Internal.Data.Bits Methods succ :: Iff a -> Iff a Source # pred :: Iff a -> Iff a Source # toEnum :: Int -> Iff a Source # fromEnum :: Iff a -> Int Source # enumFrom :: Iff a -> [Iff a] Source # enumFromThen :: Iff a -> Iff a -> [Iff a] Source # enumFromTo :: Iff a -> Iff a -> [Iff a] Source # enumFromThenTo :: Iff a -> Iff a -> Iff a -> [Iff a] Source #
Enum a => Enum (Ior a) | Since: base-4.16
Instance details Defined in GHC.Internal.Data.Bits Methods succ :: Ior a -> Ior a Source # pred :: Ior a -> Ior a Source # toEnum :: Int -> Ior a Source # fromEnum :: Ior a -> Int Source # enumFrom :: Ior a -> [Ior a] Source # enumFromThen :: Ior a -> Ior a -> [Ior a] Source # enumFromTo :: Ior a -> Ior a -> [Ior a] Source # enumFromThenTo :: Ior a -> Ior a -> Ior a -> [Ior a] Source #
Enum a => Enum (Xor a) | Since: base-4.16
Instance details Defined in GHC.Internal.Data.Bits Methods succ :: Xor a -> Xor a Source # pred :: Xor a -> Xor a Source # toEnum :: Int -> Xor a Source # fromEnum :: Xor a -> Int Source # enumFrom :: Xor a -> [Xor a] Source # enumFromThen :: Xor a -> Xor a -> [Xor a] Source # enumFromTo :: Xor a -> Xor a -> [Xor a] Source # enumFromThenTo :: Xor a -> Xor a -> Xor a -> [Xor a] Source #
Enum a => Enum (Identity a) | Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Data.Functor.Identity

Methods

succ :: Identity a -> Identity a Source #

pred :: Identity a -> Identity a Source #

toEnum :: Int -> Identity a Source #

fromEnum :: Identity a -> Int Source #

enumFrom :: Identity a -> [Identity a] Source #

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

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

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

(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 Source #

pred :: Down a -> Down a Source #

toEnum :: Int -> Down a Source #

fromEnum :: Down a -> Int Source #

enumFrom :: Down a -> [Down a] Source #

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

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

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

Integral a => Enum (Ratio a) | Since: base-2.0.1

Instance details

Defined in GHC.Internal.Real

Methods

succ :: Ratio a -> Ratio a Source #

pred :: Ratio a -> Ratio a Source #

toEnum :: Int -> Ratio a Source #

fromEnum :: Ratio a -> Int Source #

enumFrom :: Ratio a -> [Ratio a] Source #

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

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

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

Enum a => Enum (Solo a) |

Instance details

Defined in GHC.Internal.Enum

Methods

succ :: Solo a -> Solo a Source #

pred :: Solo a -> Solo a Source #

toEnum :: Int -> Solo a Source #

fromEnum :: Solo a -> Int Source #

enumFrom :: Solo a -> [Solo a] Source #

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

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

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

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 Source #

pred :: Fixed a -> Fixed a Source #

toEnum :: Int -> Fixed a Source #

fromEnum :: Fixed a -> Int Source #

enumFrom :: Fixed a -> [Fixed a] Source #

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

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

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

Enum (Proxy s) | Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Data.Proxy

Methods

succ :: Proxy s -> Proxy s Source #

pred :: Proxy s -> Proxy s Source #

toEnum :: Int -> Proxy s Source #

fromEnum :: Proxy s -> Int Source #

enumFrom :: Proxy s -> [Proxy s] Source #

enumFromThen :: Proxy s -> Proxy s -> [Proxy s] Source #

enumFromTo :: Proxy s -> Proxy s -> [Proxy s] Source #

enumFromThenTo :: Proxy s -> Proxy s -> Proxy s -> [Proxy s] Source #

Enum a => Enum (Const a b) | Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Data.Functor.Const

Methods

succ :: Const a b -> Const a b Source #

pred :: Const a b -> Const a b Source #

toEnum :: Int -> Const a b Source #

fromEnum :: Const a b -> Int Source #

enumFrom :: Const a b -> [Const a b] Source #

enumFromThen :: Const a b -> Const a b -> [Const a b] Source #

enumFromTo :: Const a b -> Const a b -> [Const a b] Source #

enumFromThenTo :: Const a b -> Const a b -> Const a b -> [Const a b] Source #

Enum (f a) => Enum (Ap f a) | Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.Data.Monoid

Methods

succ :: Ap f a -> Ap f a Source #

pred :: Ap f a -> Ap f a Source #

toEnum :: Int -> Ap f a Source #

fromEnum :: Ap f a -> Int Source #

enumFrom :: Ap f a -> [Ap f a] Source #

enumFromThen :: Ap f a -> Ap f a -> [Ap f a] Source #

enumFromTo :: Ap f a -> Ap f a -> [Ap f a] Source #

enumFromThenTo :: Ap f a -> Ap f a -> Ap f a -> [Ap f a] Source #

Enum (f a) => Enum (Alt f a) | Since: base-4.8.0.0

Instance details

Defined in GHC.Internal.Data.Semigroup.Internal

Methods

succ :: Alt f a -> Alt f a Source #

pred :: Alt f a -> Alt f a Source #

toEnum :: Int -> Alt f a Source #

fromEnum :: Alt f a -> Int Source #

enumFrom :: Alt f a -> [Alt f a] Source #

enumFromThen :: Alt f a -> Alt f a -> [Alt f a] Source #

enumFromTo :: Alt f a -> Alt f a -> [Alt f a] Source #

enumFromThenTo :: Alt f a -> Alt f a -> Alt f a -> [Alt f a] Source #

a ~ b => Enum (a :~: b) | Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Data.Type.Equality

Methods

succ :: (a :~: b) -> a :~: b Source #

pred :: (a :~: b) -> a :~: b Source #

toEnum :: Int -> a :~: b Source #

fromEnum :: (a :~: b) -> Int Source #

enumFrom :: (a :~: b) -> [a :~: b] Source #

enumFromThen :: (a :~: b) -> (a :~: b) -> [a :~: b] Source #

enumFromTo :: (a :~: b) -> (a :~: b) -> [a :~: b] Source #

enumFromThenTo :: (a :~: b) -> (a :~: b) -> (a :~: b) -> [a :~: b] Source #

a ~~ b => Enum (a :~~: b) | Since: base-4.10.0.0

Instance details

Defined in GHC.Internal.Data.Type.Equality

Methods

succ :: (a :~~: b) -> a :~~: b Source #

pred :: (a :~~: b) -> a :~~: b Source #

toEnum :: Int -> a :~~: b Source #

fromEnum :: (a :~~: b) -> Int Source #

enumFrom :: (a :~~: b) -> [a :~~: b] Source #

enumFromThen :: (a :~~: b) -> (a :~~: b) -> [a :~~: b] Source #

enumFromTo :: (a :~~: b) -> (a :~~: b) -> [a :~~: b] Source #

enumFromThenTo :: (a :~~: b) -> (a :~~: b) -> (a :~~: b) -> [a :~~: b] Source #

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 Source #

pred :: Compose f g a -> Compose f g a Source #

toEnum :: Int -> Compose f g a Source #

fromEnum :: Compose f g a -> Int Source #

enumFrom :: Compose f g a -> [Compose f g a] Source #

enumFromThen :: Compose f g a -> Compose f g a -> [Compose f g a] Source #

enumFromTo :: Compose f g a -> Compose f g a -> [Compose f g a] Source #

enumFromThenTo :: Compose f g a -> Compose f g a -> Compose f g a -> [Compose f g a] Source #

class Eq a where Source #

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

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

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 Source #

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

#### Instances

Instances details

Eq ByteArray | Since: base-4.17.0.0
Instance details Defined in Data.Array.Byte Methods (==) :: ByteArray -> ByteArray -> Bool Source # (/=) :: ByteArray -> ByteArray -> Bool Source #
Eq Timeout |
Instance details Defined in System.Timeout Methods (==) :: Timeout -> Timeout -> Bool Source # (/=) :: Timeout -> Timeout -> Bool Source #
Eq BigNat |
Instance details Defined in GHC.Num.BigNat Methods (==) :: BigNat -> BigNat -> Bool Source # (/=) :: BigNat -> BigNat -> Bool Source #
Eq Void | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Base Methods (==) :: Void -> Void -> Bool Source # (/=) :: Void -> Void -> Bool Source #
Eq BlockReason | Since: base-4.3.0.0
Instance details Defined in GHC.Internal.Conc.Sync Methods (==) :: BlockReason -> BlockReason -> Bool Source # (/=) :: BlockReason -> BlockReason -> Bool Source #
Eq ThreadId | Since: base-4.2.0.0
Instance details Defined in GHC.Internal.Conc.Sync Methods (==) :: ThreadId -> ThreadId -> Bool Source # (/=) :: ThreadId -> ThreadId -> Bool Source #
Eq ThreadStatus | Since: base-4.3.0.0
Instance details Defined in GHC.Internal.Conc.Sync Methods (==) :: ThreadStatus -> ThreadStatus -> Bool Source # (/=) :: ThreadStatus -> ThreadStatus -> Bool Source #
Eq Constr | Equality of constructors Since: base-4.0.0.0
Instance details Defined in GHC.Internal.Data.Data Methods (==) :: Constr -> Constr -> Bool Source # (/=) :: Constr -> Constr -> Bool Source #
Eq ConstrRep | Since: base-4.0.0.0
Instance details Defined in GHC.Internal.Data.Data Methods (==) :: ConstrRep -> ConstrRep -> Bool Source # (/=) :: ConstrRep -> ConstrRep -> Bool Source #
Eq DataRep | Since: base-4.0.0.0
Instance details Defined in GHC.Internal.Data.Data Methods (==) :: DataRep -> DataRep -> Bool Source # (/=) :: DataRep -> DataRep -> Bool Source #
Eq Fixity | Since: base-4.0.0.0
Instance details Defined in GHC.Internal.Data.Data Methods (==) :: Fixity -> Fixity -> Bool Source # (/=) :: Fixity -> Fixity -> Bool Source #
Eq All | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods (==) :: All -> All -> Bool Source # (/=) :: All -> All -> Bool Source #
Eq Any | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods (==) :: Any -> Any -> Bool Source # (/=) :: Any -> Any -> Bool Source #
Eq SomeTypeRep |
Instance details Defined in GHC.Internal.Data.Typeable.Internal Methods (==) :: SomeTypeRep -> SomeTypeRep -> Bool Source # (/=) :: SomeTypeRep -> SomeTypeRep -> Bool Source #
Eq Unique |
Instance details Defined in GHC.Internal.Data.Unique Methods (==) :: Unique -> Unique -> Bool Source # (/=) :: Unique -> Unique -> Bool Source #
Eq Version | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Version Methods (==) :: Version -> Version -> Bool Source # (/=) :: Version -> Version -> Bool Source #
Eq ErrorCall | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Exception Methods (==) :: ErrorCall -> ErrorCall -> Bool Source # (/=) :: ErrorCall -> ErrorCall -> Bool Source #
Eq ArithException | Since: base-3.0
Instance details Defined in GHC.Internal.Exception.Type Methods (==) :: ArithException -> ArithException -> Bool Source # (/=) :: ArithException -> ArithException -> Bool Source #
Eq SpecConstrAnnotation | Since: base-4.3.0.0
Instance details Defined in GHC.Internal.Exts Methods (==) :: SpecConstrAnnotation -> SpecConstrAnnotation -> Bool Source # (/=) :: SpecConstrAnnotation -> SpecConstrAnnotation -> Bool Source #
Eq IntPtr |
Instance details Defined in GHC.Internal.Foreign.Ptr Methods (==) :: IntPtr -> IntPtr -> Bool Source # (/=) :: IntPtr -> IntPtr -> Bool Source #
Eq WordPtr |
Instance details Defined in GHC.Internal.Foreign.Ptr Methods (==) :: WordPtr -> WordPtr -> Bool Source # (/=) :: WordPtr -> WordPtr -> Bool Source #
Eq Associativity | Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: Associativity -> Associativity -> Bool Source # (/=) :: Associativity -> Associativity -> Bool Source #
Eq DecidedStrictness | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: DecidedStrictness -> DecidedStrictness -> Bool Source # (/=) :: DecidedStrictness -> DecidedStrictness -> Bool Source #
Eq Fixity | Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: Fixity -> Fixity -> Bool Source # (/=) :: Fixity -> Fixity -> Bool Source #
Eq SourceStrictness | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: SourceStrictness -> SourceStrictness -> Bool Source # (/=) :: SourceStrictness -> SourceStrictness -> Bool Source #
Eq SourceUnpackedness | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source # (/=) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source #
Eq MaskingState | Since: base-4.3.0.0
Instance details Defined in GHC.Internal.IO Methods (==) :: MaskingState -> MaskingState -> Bool Source # (/=) :: MaskingState -> MaskingState -> Bool Source #
Eq IODeviceType | Since: base-4.2.0.0
Instance details Defined in GHC.Internal.IO.Device Methods (==) :: IODeviceType -> IODeviceType -> Bool Source # (/=) :: IODeviceType -> IODeviceType -> Bool Source #
Eq SeekMode | Since: base-4.2.0.0
Instance details Defined in GHC.Internal.IO.Device Methods (==) :: SeekMode -> SeekMode -> Bool Source # (/=) :: SeekMode -> SeekMode -> Bool Source #
Eq CodingProgress | Since: base-4.4.0.0
Instance details Defined in GHC.Internal.IO.Encoding.Types Methods (==) :: CodingProgress -> CodingProgress -> Bool Source # (/=) :: CodingProgress -> CodingProgress -> Bool Source #
Eq ArrayException | Since: base-4.2.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods (==) :: ArrayException -> ArrayException -> Bool Source # (/=) :: ArrayException -> ArrayException -> Bool Source #
Eq AsyncException | Since: base-4.2.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods (==) :: AsyncException -> AsyncException -> Bool Source # (/=) :: AsyncException -> AsyncException -> Bool Source #
Eq ExitCode |
Instance details Defined in GHC.Internal.IO.Exception Methods (==) :: ExitCode -> ExitCode -> Bool Source # (/=) :: ExitCode -> ExitCode -> Bool Source #
Eq IOErrorType | Since: base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods (==) :: IOErrorType -> IOErrorType -> Bool Source # (/=) :: IOErrorType -> IOErrorType -> Bool Source #
Eq IOException | Since: base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods (==) :: IOException -> IOException -> Bool Source # (/=) :: IOException -> IOException -> Bool Source #
Eq HandlePosn | Since: base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Handle Methods (==) :: HandlePosn -> HandlePosn -> Bool Source # (/=) :: HandlePosn -> HandlePosn -> Bool Source #
Eq BufferMode | Since: base-4.2.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods (==) :: BufferMode -> BufferMode -> Bool Source # (/=) :: BufferMode -> BufferMode -> Bool Source #
Eq Handle | Since: base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods (==) :: Handle -> Handle -> Bool Source # (/=) :: Handle -> Handle -> Bool Source #
Eq Newline | Since: base-4.2.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods (==) :: Newline -> Newline -> Bool Source # (/=) :: Newline -> Newline -> Bool Source #
Eq NewlineMode | Since: base-4.2.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods (==) :: NewlineMode -> NewlineMode -> Bool Source # (/=) :: NewlineMode -> NewlineMode -> Bool Source #
Eq IOMode | Since: base-4.2.0.0
Instance details Defined in GHC.Internal.IO.IOMode Methods (==) :: IOMode -> IOMode -> Bool Source # (/=) :: IOMode -> IOMode -> Bool Source #
Eq Int16 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods (==) :: Int16 -> Int16 -> Bool Source # (/=) :: Int16 -> Int16 -> Bool Source #
Eq Int32 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods (==) :: Int32 -> Int32 -> Bool Source # (/=) :: Int32 -> Int32 -> Bool Source #
Eq Int64 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods (==) :: Int64 -> Int64 -> Bool Source # (/=) :: Int64 -> Int64 -> Bool Source #
Eq Int8 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods (==) :: Int8 -> Int8 -> Bool Source # (/=) :: Int8 -> Int8 -> Bool Source #
Eq SrcLoc | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Stack.Types Methods (==) :: SrcLoc -> SrcLoc -> Bool Source # (/=) :: SrcLoc -> SrcLoc -> Bool Source #
Eq CBlkCnt |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CBlkCnt -> CBlkCnt -> Bool Source # (/=) :: CBlkCnt -> CBlkCnt -> Bool Source #
Eq CBlkSize |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CBlkSize -> CBlkSize -> Bool Source # (/=) :: CBlkSize -> CBlkSize -> Bool Source #
Eq CCc |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CCc -> CCc -> Bool Source # (/=) :: CCc -> CCc -> Bool Source #
Eq CClockId |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CClockId -> CClockId -> Bool Source # (/=) :: CClockId -> CClockId -> Bool Source #
Eq CDev |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CDev -> CDev -> Bool Source # (/=) :: CDev -> CDev -> Bool Source #
Eq CFsBlkCnt |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CFsBlkCnt -> CFsBlkCnt -> Bool Source # (/=) :: CFsBlkCnt -> CFsBlkCnt -> Bool Source #
Eq CFsFilCnt |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CFsFilCnt -> CFsFilCnt -> Bool Source # (/=) :: CFsFilCnt -> CFsFilCnt -> Bool Source #
Eq CGid |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CGid -> CGid -> Bool Source # (/=) :: CGid -> CGid -> Bool Source #
Eq CId |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CId -> CId -> Bool Source # (/=) :: CId -> CId -> Bool Source #
Eq CIno |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CIno -> CIno -> Bool Source # (/=) :: CIno -> CIno -> Bool Source #
Eq CKey |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CKey -> CKey -> Bool Source # (/=) :: CKey -> CKey -> Bool Source #
Eq CMode |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CMode -> CMode -> Bool Source # (/=) :: CMode -> CMode -> Bool Source #
Eq CNfds |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CNfds -> CNfds -> Bool Source # (/=) :: CNfds -> CNfds -> Bool Source #
Eq CNlink |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CNlink -> CNlink -> Bool Source # (/=) :: CNlink -> CNlink -> Bool Source #
Eq COff |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: COff -> COff -> Bool Source # (/=) :: COff -> COff -> Bool Source #
Eq CPid |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CPid -> CPid -> Bool Source # (/=) :: CPid -> CPid -> Bool Source #
Eq CRLim |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CRLim -> CRLim -> Bool Source # (/=) :: CRLim -> CRLim -> Bool Source #
Eq CSocklen |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CSocklen -> CSocklen -> Bool Source # (/=) :: CSocklen -> CSocklen -> Bool Source #
Eq CSpeed |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CSpeed -> CSpeed -> Bool Source # (/=) :: CSpeed -> CSpeed -> Bool Source #
Eq CSsize |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CSsize -> CSsize -> Bool Source # (/=) :: CSsize -> CSsize -> Bool Source #
Eq CTcflag |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CTcflag -> CTcflag -> Bool Source # (/=) :: CTcflag -> CTcflag -> Bool Source #
Eq CTimer |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CTimer -> CTimer -> Bool Source # (/=) :: CTimer -> CTimer -> Bool Source #
Eq CUid |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CUid -> CUid -> Bool Source # (/=) :: CUid -> CUid -> Bool Source #
Eq Fd |
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: Fd -> Fd -> Bool Source # (/=) :: Fd -> Fd -> Bool Source #
Eq GeneralCategory | Since: base-2.1
Instance details Defined in GHC.Internal.Unicode Methods (==) :: GeneralCategory -> GeneralCategory -> Bool Source # (/=) :: GeneralCategory -> GeneralCategory -> Bool Source #
Eq Word16 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods (==) :: Word16 -> Word16 -> Bool Source # (/=) :: Word16 -> Word16 -> Bool Source #
Eq Word32 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods (==) :: Word32 -> Word32 -> Bool Source # (/=) :: Word32 -> Word32 -> Bool Source #
Eq Word64 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods (==) :: Word64 -> Word64 -> Bool Source # (/=) :: Word64 -> Word64 -> Bool Source #
Eq Word8 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods (==) :: Word8 -> Word8 -> Bool Source # (/=) :: Word8 -> Word8 -> Bool Source #
Eq Module |
Instance details Defined in GHC.Classes Methods (==) :: Module -> Module -> Bool Source # (/=) :: Module -> Module -> Bool Source #
Eq Ordering |
Instance details Defined in GHC.Classes Methods (==) :: Ordering -> Ordering -> Bool Source # (/=) :: Ordering -> Ordering -> Bool Source #
Eq TrName |
Instance details Defined in GHC.Classes Methods (==) :: TrName -> TrName -> Bool Source # (/=) :: TrName -> TrName -> Bool Source #
Eq TyCon |
Instance details Defined in GHC.Classes Methods (==) :: TyCon -> TyCon -> Bool Source # (/=) :: TyCon -> TyCon -> Bool Source #
Eq Integer |
Instance details Defined in GHC.Num.Integer Methods (==) :: Integer -> Integer -> Bool Source # (/=) :: Integer -> Integer -> Bool Source #
Eq Natural |
Instance details Defined in GHC.Num.Natural Methods (==) :: Natural -> Natural -> Bool Source # (/=) :: Natural -> Natural -> Bool Source #
Eq () |
Instance details Defined in GHC.Classes Methods (==) :: () -> () -> Bool Source # (/=) :: () -> () -> Bool Source #
Eq Bool |
Instance details Defined in GHC.Classes Methods (==) :: Bool -> Bool -> Bool Source # (/=) :: Bool -> Bool -> Bool Source #
Eq Char |
Instance details Defined in GHC.Classes Methods (==) :: Char -> Char -> Bool Source # (/=) :: Char -> Char -> Bool Source #

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 Source # (/=) :: Double -> Double -> Bool Source #

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 Source # (/=) :: Float -> Float -> Bool Source #
Eq Int |
Instance details Defined in GHC.Classes Methods (==) :: Int -> Int -> Bool Source # (/=) :: Int -> Int -> Bool Source #
Eq Word |
Instance details Defined in GHC.Classes Methods (==) :: Word -> Word -> Bool Source # (/=) :: Word -> Word -> Bool Source #
Eq (Chan a) | Since: base-4.4.0.0
Instance details Defined in Control.Concurrent.Chan Methods (==) :: Chan a -> Chan a -> Bool Source # (/=) :: Chan a -> Chan a -> Bool Source #
Eq (MutableByteArray s) | Since: base-4.17.0.0
Instance details Defined in Data.Array.Byte Methods (==) :: MutableByteArray s -> MutableByteArray s -> Bool Source # (/=) :: MutableByteArray s -> MutableByteArray s -> Bool Source #
Eq a => Eq (Complex a) | Since: base-2.1
Instance details Defined in Data.Complex Methods (==) :: Complex a -> Complex a -> Bool Source # (/=) :: Complex a -> Complex a -> Bool Source #
Eq a => Eq (First a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (==) :: First a -> First a -> Bool Source # (/=) :: First a -> First a -> Bool Source #
Eq a => Eq (Last a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (==) :: Last a -> Last a -> Bool Source # (/=) :: Last a -> Last a -> Bool Source #
Eq a => Eq (Max a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (==) :: Max a -> Max a -> Bool Source # (/=) :: Max a -> Max a -> Bool Source #
Eq a => Eq (Min a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (==) :: Min a -> Min a -> Bool Source # (/=) :: Min a -> Min a -> Bool Source #
Eq m => Eq (WrappedMonoid m) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (==) :: WrappedMonoid m -> WrappedMonoid m -> Bool Source # (/=) :: WrappedMonoid m -> WrappedMonoid m -> Bool Source #
Eq a => Eq (NonEmpty a) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods (==) :: NonEmpty a -> NonEmpty a -> Bool Source # (/=) :: NonEmpty a -> NonEmpty a -> Bool Source #
Eq (TVar a) | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Conc.Sync Methods (==) :: TVar a -> TVar a -> Bool Source # (/=) :: TVar a -> TVar a -> Bool Source #
Eq a => Eq (And a) | Since: base-4.16
Instance details Defined in GHC.Internal.Data.Bits Methods (==) :: And a -> And a -> Bool Source # (/=) :: And a -> And a -> Bool Source #
Eq a => Eq (Iff a) | Since: base-4.16
Instance details Defined in GHC.Internal.Data.Bits Methods (==) :: Iff a -> Iff a -> Bool Source # (/=) :: Iff a -> Iff a -> Bool Source #
Eq a => Eq (Ior a) | Since: base-4.16
Instance details Defined in GHC.Internal.Data.Bits Methods (==) :: Ior a -> Ior a -> Bool Source # (/=) :: Ior a -> Ior a -> Bool Source #
Eq a => Eq (Xor a) | Since: base-4.16
Instance details Defined in GHC.Internal.Data.Bits Methods (==) :: Xor a -> Xor a -> Bool Source # (/=) :: Xor a -> Xor a -> Bool Source #
Eq a => Eq (Identity a) | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Functor.Identity Methods (==) :: Identity a -> Identity a -> Bool Source # (/=) :: Identity a -> Identity a -> Bool Source #
Eq a => Eq (First a) | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Monoid Methods (==) :: First a -> First a -> Bool Source # (/=) :: First a -> First a -> Bool Source #
Eq a => Eq (Last a) | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Monoid Methods (==) :: Last a -> Last a -> Bool Source # (/=) :: Last a -> Last a -> Bool Source #
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 Source # (/=) :: Down a -> Down a -> Bool Source #
Eq a => Eq (Dual a) | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods (==) :: Dual a -> Dual a -> Bool Source # (/=) :: Dual a -> Dual a -> Bool Source #
Eq a => Eq (Product a) | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods (==) :: Product a -> Product a -> Bool Source # (/=) :: Product a -> Product a -> Bool Source #
Eq a => Eq (Sum a) | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods (==) :: Sum a -> Sum a -> Bool Source # (/=) :: Sum a -> Sum a -> Bool Source #
Eq (ForeignPtr a) | Since: base-2.1
Instance details Defined in GHC.Internal.ForeignPtr Methods (==) :: ForeignPtr a -> ForeignPtr a -> Bool Source # (/=) :: ForeignPtr a -> ForeignPtr a -> Bool Source #
Eq a => Eq (ZipList a) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Functor.ZipList Methods (==) :: ZipList a -> ZipList a -> Bool Source # (/=) :: ZipList a -> ZipList a -> Bool Source #
Eq p => Eq (Par1 p) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: Par1 p -> Par1 p -> Bool Source # (/=) :: Par1 p -> Par1 p -> Bool Source #
Eq (IORef a) | Pointer equality. Since: base-4.0.0.0
Instance details Defined in GHC.Internal.IORef Methods (==) :: IORef a -> IORef a -> Bool Source # (/=) :: IORef a -> IORef a -> Bool Source #
Eq (MVar a) | Compares the underlying pointers. Since: base-4.1.0.0
Instance details Defined in GHC.Internal.MVar Methods (==) :: MVar a -> MVar a -> Bool Source # (/=) :: MVar a -> MVar a -> Bool Source #
Eq (FunPtr a) |
Instance details Defined in GHC.Internal.Ptr Methods (==) :: FunPtr a -> FunPtr a -> Bool Source # (/=) :: FunPtr a -> FunPtr a -> Bool Source #
Eq (Ptr a) | Since: base-2.1
Instance details Defined in GHC.Internal.Ptr Methods (==) :: Ptr a -> Ptr a -> Bool Source # (/=) :: Ptr a -> Ptr a -> Bool Source #
Eq a => Eq (Ratio a) | Since: base-2.1
Instance details Defined in GHC.Internal.Real Methods (==) :: Ratio a -> Ratio a -> Bool Source # (/=) :: Ratio a -> Ratio a -> Bool Source #
Eq (StablePtr a) | Since: base-2.1
Instance details Defined in GHC.Internal.Stable Methods (==) :: StablePtr a -> StablePtr a -> Bool Source # (/=) :: StablePtr a -> StablePtr a -> Bool Source #
Eq (StableName a) | Since: base-2.1
Instance details Defined in GHC.Internal.StableName Methods (==) :: StableName a -> StableName a -> Bool Source # (/=) :: StableName a -> StableName a -> Bool Source #
Eq a => Eq (Maybe a) | Since: base-2.1
Instance details Defined in GHC.Internal.Maybe Methods (==) :: Maybe a -> Maybe a -> Bool Source # (/=) :: Maybe a -> Maybe a -> Bool Source #
Eq a => Eq (Solo a) |
Instance details Defined in GHC.Classes Methods (==) :: Solo a -> Solo a -> Bool Source # (/=) :: Solo a -> Solo a -> Bool Source #
Eq a => Eq [a] |
Instance details Defined in GHC.Classes Methods (==) :: [a] -> [a] -> Bool Source # (/=) :: [a] -> [a] -> Bool Source #
Eq (Fixed a) | Since: base-2.1
Instance details Defined in Data.Fixed Methods (==) :: Fixed a -> Fixed a -> Bool Source # (/=) :: Fixed a -> Fixed a -> Bool Source #
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 Source # (/=) :: Arg a b -> Arg a b -> Bool Source #
(Eq a, Eq b) => Eq (Either a b) | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Either Methods (==) :: Either a b -> Either a b -> Bool Source # (/=) :: Either a b -> Either a b -> Bool Source #
Eq (Proxy s) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Proxy Methods (==) :: Proxy s -> Proxy s -> Bool Source # (/=) :: Proxy s -> Proxy s -> Bool Source #
Eq (TypeRep a) | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Typeable.Internal Methods (==) :: TypeRep a -> TypeRep a -> Bool Source # (/=) :: TypeRep a -> TypeRep a -> Bool Source #
Eq (U1 p) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: U1 p -> U1 p -> Bool Source # (/=) :: U1 p -> U1 p -> Bool Source #
Eq (V1 p) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: V1 p -> V1 p -> Bool Source # (/=) :: V1 p -> V1 p -> Bool Source #
Eq (STRef s a) | Pointer equality. Since: base-2.1
Instance details Defined in GHC.Internal.STRef Methods (==) :: STRef s a -> STRef s a -> Bool Source # (/=) :: STRef s a -> STRef s a -> Bool Source #
(Eq a, Eq b) => Eq (a, b) |
Instance details Defined in GHC.Classes Methods (==) :: (a, b) -> (a, b) -> Bool Source # (/=) :: (a, b) -> (a, b) -> Bool Source #
Eq a => Eq (Const a b) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Functor.Const Methods (==) :: Const a b -> Const a b -> Bool Source # (/=) :: Const a b -> Const a b -> Bool Source #
Eq (f a) => Eq (Ap f a) | Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Monoid Methods (==) :: Ap f a -> Ap f a -> Bool Source # (/=) :: Ap f a -> Ap f a -> Bool Source #
Eq (f a) => Eq (Alt f a) | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods (==) :: Alt f a -> Alt f a -> Bool Source # (/=) :: Alt f a -> Alt f a -> Bool Source #
Eq (a :~: b) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Type.Equality Methods (==) :: (a :~: b) -> (a :~: b) -> Bool Source # (/=) :: (a :~: b) -> (a :~: b) -> Bool Source #
(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 Source # (/=) :: Generically1 f a -> Generically1 f a -> Bool Source #
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 Source # (/=) :: Rec1 f p -> Rec1 f p -> Bool Source #
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 Source # (/=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool Source #
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 Source # (/=) :: URec Char p -> URec Char p -> Bool Source #
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 Source # (/=) :: URec Double p -> URec Double p -> Bool Source #
Eq (URec Float p) |
Instance details Defined in GHC.Internal.Generics Methods (==) :: URec Float p -> URec Float p -> Bool Source # (/=) :: URec Float p -> URec Float p -> Bool Source #
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 Source # (/=) :: URec Int p -> URec Int p -> Bool Source #
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 Source # (/=) :: URec Word p -> URec Word p -> Bool Source #
(Eq a, Eq b, Eq c) => Eq (a, b, c) |
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c) -> (a, b, c) -> Bool Source # (/=) :: (a, b, c) -> (a, b, c) -> Bool Source #
(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 Source # (/=) :: Product f g a -> Product f g a -> Bool Source #
(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 Source # (/=) :: Sum f g a -> Sum f g a -> Bool Source #
Eq (a :~~: b) | Since: base-4.10.0.0
Instance details Defined in GHC.Internal.Data.Type.Equality Methods (==) :: (a :~~: b) -> (a :~~: b) -> Bool Source # (/=) :: (a :~~: b) -> (a :~~: b) -> Bool Source #
(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 Source # (/=) :: (f :*: g) p -> (f :*: g) p -> Bool Source #
(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 Source # (/=) :: (f :+: g) p -> (f :+: g) p -> Bool Source #
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 Source # (/=) :: K1 i c p -> K1 i c p -> Bool Source #
(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 Source # (/=) :: (a, b, c, d) -> (a, b, c, d) -> Bool Source #
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 Source # (/=) :: Compose f g a -> Compose f g a -> Bool Source #
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 Source # (/=) :: (f :.: g) p -> (f :.: g) p -> Bool Source #
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 Source # (/=) :: M1 i c f p -> M1 i c f p -> Bool Source #
(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 Source # (/=) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool Source #
(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 Source # (/=) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool Source #
(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 Source # (/=) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool Source #
(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 Source # (/=) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool Source #
(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 Source # (/=) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool Source #
(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 Source # (/=) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool Source #
(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 Source # (/=) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool Source #
(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 Source # (/=) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool Source #
(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 Source # (/=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool Source #
(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 Source # (/=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool Source #
(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 Source # (/=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool Source #

class Arrow a => ArrowApply (a :: Type -> Type -> Type) where Source #

Some arrows allow application of arrow inputs to other inputs. Instances should satisfy the following laws:

-     first (arr (\x -> arr (\y -> (x,y)))) >>> app = id

-     first (arr (g >>>)) >>> app = second g >>> app

-     first (arr (>>> h)) >>> app = app >>> h

Such arrows are equivalent to monads (see `ArrowMonad`).

Methods

app :: a (a b c, b) c Source #

#### Instances

Instances details

Monad m => ArrowApply (Kleisli m) | Since: base-2.1
Instance details Defined in GHC.Internal.Control.Arrow Methods app :: Kleisli m (Kleisli m b c, b) c Source #
ArrowApply (->) | Since: base-2.1
Instance details Defined in GHC.Internal.Control.Arrow Methods app :: (b -> c, b) -> c Source #

class Arrow a => ArrowChoice (a :: Type -> Type -> Type) where Source #

Choice, for arrows that support it. This class underlies the `if` and `case` constructs in arrow notation.

Instances should satisfy the following laws:

-     left (arr f) = arr (left f)

-     left (f >>> g) = left f >>> left g

-     f >>> arr Left = arr Left >>> left f

-     left f >>> arr (id +++ g) = arr (id +++ g) >>> left f

-     left (left f) >>> arr assocsum = arr assocsum >>> left f

where

    assocsum (Left (Left x)) = Left x
    assocsum (Left (Right y)) = Right (Left y)
    assocsum (Right z) = Right (Right z)

The other combinators have sensible default definitions, which may be overridden for efficiency.

Minimal complete definition

(left | (+++))

Methods

left :: a b c -> a (Either b d) (Either c d) Source #

Feed marked inputs through the argument arrow, passing the rest through unchanged to the output.

right :: a b c -> a (Either d b) (Either d c) Source #

A mirror image of `left`.

The default definition may be overridden with a more efficient version if desired.

(+++) :: a b c -> a b' c' -> a (Either b b') (Either c c') infixr 2 Source #

Split the input between the two argument arrows, retagging and merging their outputs. Note that this is in general not a functor.

The default definition may be overridden with a more efficient version if desired.

(|||) :: a b d -> a c d -> a (Either b c) d infixr 2 Source #

Fanin: Split the input between the two argument arrows and merge their outputs.

The default definition may be overridden with a more efficient version if desired.

#### Instances

Instances details

Monad m => ArrowChoice (Kleisli m) | Since: base-2.1
Instance details Defined in GHC.Internal.Control.Arrow Methods left :: Kleisli m b c -> Kleisli m (Either b d) (Either c d) Source # right :: Kleisli m b c -> Kleisli m (Either d b) (Either d c) Source # (+++) :: Kleisli m b c -> Kleisli m b' c' -> Kleisli m (Either b b') (Either c c') Source # (|||) :: Kleisli m b d -> Kleisli m c d -> Kleisli m (Either b c) d Source #
ArrowChoice (->) | Since: base-2.1
Instance details Defined in GHC.Internal.Control.Arrow Methods left :: (b -> c) -> Either b d -> Either c d Source # right :: (b -> c) -> Either d b -> Either d c Source # (+++) :: (b -> c) -> (b' -> c') -> Either b b' -> Either c c' Source # (|||) :: (b -> d) -> (c -> d) -> Either b c -> d Source #

class Arrow a => ArrowLoop (a :: Type -> Type -> Type) where Source #

The `loop` operator expresses computations in which an output value is fed back as input, although the computation occurs only once. It underlies the `rec` value recursion construct in arrow notation. `loop` should satisfy the following laws:

extension
  ``loop` (`arr` f) = `arr` (\ b -> `fst` (`fix` (\ (c,d) -> f (b,d))))`
left tightening
  ``loop` (`first` h >>> f) = h >>> `loop` f`
right tightening
  ``loop` (f >>> `first` h) = `loop` f >>> h`
sliding
  ``loop` (f >>> `arr` (`id` *** k)) = `loop` (`arr` (`id` *** k) >>> f)`
vanishing
  ``loop` (`loop` f) = `loop` (`arr` unassoc >>> f >>> `arr` assoc)`
superposing
  ``second` (`loop` f) = `loop` (`arr` assoc >>> `second` f >>> `arr` unassoc)`

where

    assoc ((a,b),c) = (a,(b,c))
    unassoc (a,(b,c)) = ((a,b),c)

Methods

loop :: a (b, d) (c, d) -> a b c Source #

#### Instances

Instances details

MonadFix m => ArrowLoop (Kleisli m) | Beware that for many monads (those for which the `>>=` operation is strict) this instance will not satisfy the right-tightening law required by the `ArrowLoop` class. Since: base-2.1
Instance details Defined in GHC.Internal.Control.Arrow Methods loop :: Kleisli m (b, d) (c, d) -> Kleisli m b c Source #
ArrowLoop (->) | Since: base-2.1
Instance details Defined in GHC.Internal.Control.Arrow Methods loop :: ((b, d) -> (c, d)) -> b -> c Source #

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

General coercion from `Integral` types.

WARNING: This function performs silent truncation if the result type is not at least as big as the argument's type.

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

General coercion to `Fractional` types.

WARNING: This function goes through the `Rational` type, which does not have values for `NaN` for example. This means it does not round-trip.

For `Double` it also behaves differently with or without -O0:

    Prelude> realToFrac nan -- With -O0
    -Infinity
    Prelude> realToFrac nan
    NaN

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

Integral numbers, supporting integer division.

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

- `x` = `y * quot x y + rem x 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 Source #

Integer division truncated toward zero.

WARNING: This function is partial (because it throws when 0 is passed as the divisor) for all the integer types in `base`.

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

Integer remainder, satisfying

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

WARNING: This function is partial (because it throws when 0 is passed as the divisor) for all the integer types in `base`.

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

Integer division truncated toward negative infinity.

WARNING: This function is partial (because it throws when 0 is passed as the divisor) for all the integer types in `base`.

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

Integer modulus, satisfying

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

WARNING: This function is partial (because it throws when 0 is passed as the divisor) for all the integer types in `base`.

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

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) Source #

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 Source #

Conversion to `Integer`.

#### Instances

Instances details

Integral IntPtr |
Instance details Defined in GHC.Internal.Foreign.Ptr Methods quot :: IntPtr -> IntPtr -> IntPtr Source # rem :: IntPtr -> IntPtr -> IntPtr Source # div :: IntPtr -> IntPtr -> IntPtr Source # mod :: IntPtr -> IntPtr -> IntPtr Source # quotRem :: IntPtr -> IntPtr -> (IntPtr, IntPtr) Source # divMod :: IntPtr -> IntPtr -> (IntPtr, IntPtr) Source # toInteger :: IntPtr -> Integer Source #
Integral WordPtr |

Instance details

Defined in GHC.Internal.Foreign.Ptr

Methods

quot :: WordPtr -> WordPtr -> WordPtr Source #

rem :: WordPtr -> WordPtr -> WordPtr Source #

div :: WordPtr -> WordPtr -> WordPtr Source #

mod :: WordPtr -> WordPtr -> WordPtr Source #

quotRem :: WordPtr -> WordPtr -> (WordPtr, WordPtr) Source #

divMod :: WordPtr -> WordPtr -> (WordPtr, WordPtr) Source #

toInteger :: WordPtr -> Integer Source #

Integral Int16 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods quot :: Int16 -> Int16 -> Int16 Source # rem :: Int16 -> Int16 -> Int16 Source # div :: Int16 -> Int16 -> Int16 Source # mod :: Int16 -> Int16 -> Int16 Source # quotRem :: Int16 -> Int16 -> (Int16, Int16) Source # divMod :: Int16 -> Int16 -> (Int16, Int16) Source # toInteger :: Int16 -> Integer Source #
Integral Int32 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods quot :: Int32 -> Int32 -> Int32 Source # rem :: Int32 -> Int32 -> Int32 Source # div :: Int32 -> Int32 -> Int32 Source # mod :: Int32 -> Int32 -> Int32 Source # quotRem :: Int32 -> Int32 -> (Int32, Int32) Source # divMod :: Int32 -> Int32 -> (Int32, Int32) Source # toInteger :: Int32 -> Integer Source #
Integral Int64 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods quot :: Int64 -> Int64 -> Int64 Source # rem :: Int64 -> Int64 -> Int64 Source # div :: Int64 -> Int64 -> Int64 Source # mod :: Int64 -> Int64 -> Int64 Source # quotRem :: Int64 -> Int64 -> (Int64, Int64) Source # divMod :: Int64 -> Int64 -> (Int64, Int64) Source # toInteger :: Int64 -> Integer Source #
Integral Int8 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods quot :: Int8 -> Int8 -> Int8 Source # rem :: Int8 -> Int8 -> Int8 Source # div :: Int8 -> Int8 -> Int8 Source # mod :: Int8 -> Int8 -> Int8 Source # quotRem :: Int8 -> Int8 -> (Int8, Int8) Source # divMod :: Int8 -> Int8 -> (Int8, Int8) Source # toInteger :: Int8 -> Integer Source #
Integral CBlkCnt |

Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

quot :: CBlkCnt -> CBlkCnt -> CBlkCnt Source #

rem :: CBlkCnt -> CBlkCnt -> CBlkCnt Source #

div :: CBlkCnt -> CBlkCnt -> CBlkCnt Source #

mod :: CBlkCnt -> CBlkCnt -> CBlkCnt Source #

quotRem :: CBlkCnt -> CBlkCnt -> (CBlkCnt, CBlkCnt) Source #

divMod :: CBlkCnt -> CBlkCnt -> (CBlkCnt, CBlkCnt) Source #

toInteger :: CBlkCnt -> Integer Source #

Integral CBlkSize |

Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

quot :: CBlkSize -> CBlkSize -> CBlkSize Source #

rem :: CBlkSize -> CBlkSize -> CBlkSize Source #

div :: CBlkSize -> CBlkSize -> CBlkSize Source #

mod :: CBlkSize -> CBlkSize -> CBlkSize Source #

quotRem :: CBlkSize -> CBlkSize -> (CBlkSize, CBlkSize) Source #

divMod :: CBlkSize -> CBlkSize -> (CBlkSize, CBlkSize) Source #

toInteger :: CBlkSize -> Integer Source #

Integral CClockId |

Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

quot :: CClockId -> CClockId -> CClockId Source #

rem :: CClockId -> CClockId -> CClockId Source #

div :: CClockId -> CClockId -> CClockId Source #

mod :: CClockId -> CClockId -> CClockId Source #

quotRem :: CClockId -> CClockId -> (CClockId, CClockId) Source #

divMod :: CClockId -> CClockId -> (CClockId, CClockId) Source #

toInteger :: CClockId -> Integer Source #

Integral CDev |
Instance details Defined in GHC.Internal.System.Posix.Types Methods quot :: CDev -> CDev -> CDev Source # rem :: CDev -> CDev -> CDev Source # div :: CDev -> CDev -> CDev Source # mod :: CDev -> CDev -> CDev Source # quotRem :: CDev -> CDev -> (CDev, CDev) Source # divMod :: CDev -> CDev -> (CDev, CDev) Source # toInteger :: CDev -> Integer Source #
Integral CFsBlkCnt |

Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

quot :: CFsBlkCnt -> CFsBlkCnt -> CFsBlkCnt Source #

rem :: CFsBlkCnt -> CFsBlkCnt -> CFsBlkCnt Source #

div :: CFsBlkCnt -> CFsBlkCnt -> CFsBlkCnt Source #

mod :: CFsBlkCnt -> CFsBlkCnt -> CFsBlkCnt Source #

quotRem :: CFsBlkCnt -> CFsBlkCnt -> (CFsBlkCnt, CFsBlkCnt) Source #

divMod :: CFsBlkCnt -> CFsBlkCnt -> (CFsBlkCnt, CFsBlkCnt) Source #

toInteger :: CFsBlkCnt -> Integer Source #

Integral CFsFilCnt |

Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

quot :: CFsFilCnt -> CFsFilCnt -> CFsFilCnt Source #

rem :: CFsFilCnt -> CFsFilCnt -> CFsFilCnt Source #

div :: CFsFilCnt -> CFsFilCnt -> CFsFilCnt Source #

mod :: CFsFilCnt -> CFsFilCnt -> CFsFilCnt Source #

quotRem :: CFsFilCnt -> CFsFilCnt -> (CFsFilCnt, CFsFilCnt) Source #

divMod :: CFsFilCnt -> CFsFilCnt -> (CFsFilCnt, CFsFilCnt) Source #

toInteger :: CFsFilCnt -> Integer Source #

Integral CGid |
Instance details Defined in GHC.Internal.System.Posix.Types Methods quot :: CGid -> CGid -> CGid Source # rem :: CGid -> CGid -> CGid Source # div :: CGid -> CGid -> CGid Source # mod :: CGid -> CGid -> CGid Source # quotRem :: CGid -> CGid -> (CGid, CGid) Source # divMod :: CGid -> CGid -> (CGid, CGid) Source # toInteger :: CGid -> Integer Source #
Integral CId |
Instance details Defined in GHC.Internal.System.Posix.Types Methods quot :: CId -> CId -> CId Source # rem :: CId -> CId -> CId Source # div :: CId -> CId -> CId Source # mod :: CId -> CId -> CId Source # quotRem :: CId -> CId -> (CId, CId) Source # divMod :: CId -> CId -> (CId, CId) Source # toInteger :: CId -> Integer Source #
Integral CIno |
Instance details Defined in GHC.Internal.System.Posix.Types Methods quot :: CIno -> CIno -> CIno Source # rem :: CIno -> CIno -> CIno Source # div :: CIno -> CIno -> CIno Source # mod :: CIno -> CIno -> CIno Source # quotRem :: CIno -> CIno -> (CIno, CIno) Source # divMod :: CIno -> CIno -> (CIno, CIno) Source # toInteger :: CIno -> Integer Source #
Integral CKey |
Instance details Defined in GHC.Internal.System.Posix.Types Methods quot :: CKey -> CKey -> CKey Source # rem :: CKey -> CKey -> CKey Source # div :: CKey -> CKey -> CKey Source # mod :: CKey -> CKey -> CKey Source # quotRem :: CKey -> CKey -> (CKey, CKey) Source # divMod :: CKey -> CKey -> (CKey, CKey) Source # toInteger :: CKey -> Integer Source #
Integral CMode |
Instance details Defined in GHC.Internal.System.Posix.Types Methods quot :: CMode -> CMode -> CMode Source # rem :: CMode -> CMode -> CMode Source # div :: CMode -> CMode -> CMode Source # mod :: CMode -> CMode -> CMode Source # quotRem :: CMode -> CMode -> (CMode, CMode) Source # divMod :: CMode -> CMode -> (CMode, CMode) Source # toInteger :: CMode -> Integer Source #
Integral CNfds |
Instance details Defined in GHC.Internal.System.Posix.Types Methods quot :: CNfds -> CNfds -> CNfds Source # rem :: CNfds -> CNfds -> CNfds Source # div :: CNfds -> CNfds -> CNfds Source # mod :: CNfds -> CNfds -> CNfds Source # quotRem :: CNfds -> CNfds -> (CNfds, CNfds) Source # divMod :: CNfds -> CNfds -> (CNfds, CNfds) Source # toInteger :: CNfds -> Integer Source #
Integral CNlink |
Instance details Defined in GHC.Internal.System.Posix.Types Methods quot :: CNlink -> CNlink -> CNlink Source # rem :: CNlink -> CNlink -> CNlink Source # div :: CNlink -> CNlink -> CNlink Source # mod :: CNlink -> CNlink -> CNlink Source # quotRem :: CNlink -> CNlink -> (CNlink, CNlink) Source # divMod :: CNlink -> CNlink -> (CNlink, CNlink) Source # toInteger :: CNlink -> Integer Source #
Integral COff |
Instance details Defined in GHC.Internal.System.Posix.Types Methods quot :: COff -> COff -> COff Source # rem :: COff -> COff -> COff Source # div :: COff -> COff -> COff Source # mod :: COff -> COff -> COff Source # quotRem :: COff -> COff -> (COff, COff) Source # divMod :: COff -> COff -> (COff, COff) Source # toInteger :: COff -> Integer Source #
Integral CPid |
Instance details Defined in GHC.Internal.System.Posix.Types Methods quot :: CPid -> CPid -> CPid Source # rem :: CPid -> CPid -> CPid Source # div :: CPid -> CPid -> CPid Source # mod :: CPid -> CPid -> CPid Source # quotRem :: CPid -> CPid -> (CPid, CPid) Source # divMod :: CPid -> CPid -> (CPid, CPid) Source # toInteger :: CPid -> Integer Source #
Integral CRLim |
Instance details Defined in GHC.Internal.System.Posix.Types Methods quot :: CRLim -> CRLim -> CRLim Source # rem :: CRLim -> CRLim -> CRLim Source # div :: CRLim -> CRLim -> CRLim Source # mod :: CRLim -> CRLim -> CRLim Source # quotRem :: CRLim -> CRLim -> (CRLim, CRLim) Source # divMod :: CRLim -> CRLim -> (CRLim, CRLim) Source # toInteger :: CRLim -> Integer Source #
Integral CSocklen |

Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

quot :: CSocklen -> CSocklen -> CSocklen Source #

rem :: CSocklen -> CSocklen -> CSocklen Source #

div :: CSocklen -> CSocklen -> CSocklen Source #

mod :: CSocklen -> CSocklen -> CSocklen Source #

quotRem :: CSocklen -> CSocklen -> (CSocklen, CSocklen) Source #

divMod :: CSocklen -> CSocklen -> (CSocklen, CSocklen) Source #

toInteger :: CSocklen -> Integer Source #

Integral CSsize |
Instance details Defined in GHC.Internal.System.Posix.Types Methods quot :: CSsize -> CSsize -> CSsize Source # rem :: CSsize -> CSsize -> CSsize Source # div :: CSsize -> CSsize -> CSsize Source # mod :: CSsize -> CSsize -> CSsize Source # quotRem :: CSsize -> CSsize -> (CSsize, CSsize) Source # divMod :: CSsize -> CSsize -> (CSsize, CSsize) Source # toInteger :: CSsize -> Integer Source #
Integral CTcflag |

Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

quot :: CTcflag -> CTcflag -> CTcflag Source #

rem :: CTcflag -> CTcflag -> CTcflag Source #

div :: CTcflag -> CTcflag -> CTcflag Source #

mod :: CTcflag -> CTcflag -> CTcflag Source #

quotRem :: CTcflag -> CTcflag -> (CTcflag, CTcflag) Source #

divMod :: CTcflag -> CTcflag -> (CTcflag, CTcflag) Source #

toInteger :: CTcflag -> Integer Source #

Integral CUid |
Instance details Defined in GHC.Internal.System.Posix.Types Methods quot :: CUid -> CUid -> CUid Source # rem :: CUid -> CUid -> CUid Source # div :: CUid -> CUid -> CUid Source # mod :: CUid -> CUid -> CUid Source # quotRem :: CUid -> CUid -> (CUid, CUid) Source # divMod :: CUid -> CUid -> (CUid, CUid) Source # toInteger :: CUid -> Integer Source #
Integral Fd |
Instance details Defined in GHC.Internal.System.Posix.Types Methods quot :: Fd -> Fd -> Fd Source # rem :: Fd -> Fd -> Fd Source # div :: Fd -> Fd -> Fd Source # mod :: Fd -> Fd -> Fd Source # quotRem :: Fd -> Fd -> (Fd, Fd) Source # divMod :: Fd -> Fd -> (Fd, Fd) Source # toInteger :: Fd -> Integer Source #
Integral Word16 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods quot :: Word16 -> Word16 -> Word16 Source # rem :: Word16 -> Word16 -> Word16 Source # div :: Word16 -> Word16 -> Word16 Source # mod :: Word16 -> Word16 -> Word16 Source # quotRem :: Word16 -> Word16 -> (Word16, Word16) Source # divMod :: Word16 -> Word16 -> (Word16, Word16) Source # toInteger :: Word16 -> Integer Source #
Integral Word32 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods quot :: Word32 -> Word32 -> Word32 Source # rem :: Word32 -> Word32 -> Word32 Source # div :: Word32 -> Word32 -> Word32 Source # mod :: Word32 -> Word32 -> Word32 Source # quotRem :: Word32 -> Word32 -> (Word32, Word32) Source # divMod :: Word32 -> Word32 -> (Word32, Word32) Source # toInteger :: Word32 -> Integer Source #
Integral Word64 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods quot :: Word64 -> Word64 -> Word64 Source # rem :: Word64 -> Word64 -> Word64 Source # div :: Word64 -> Word64 -> Word64 Source # mod :: Word64 -> Word64 -> Word64 Source # quotRem :: Word64 -> Word64 -> (Word64, Word64) Source # divMod :: Word64 -> Word64 -> (Word64, Word64) Source # toInteger :: Word64 -> Integer Source #
Integral Word8 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods quot :: Word8 -> Word8 -> Word8 Source # rem :: Word8 -> Word8 -> Word8 Source # div :: Word8 -> Word8 -> Word8 Source # mod :: Word8 -> Word8 -> Word8 Source # quotRem :: Word8 -> Word8 -> (Word8, Word8) Source # divMod :: Word8 -> Word8 -> (Word8, Word8) Source # toInteger :: Word8 -> Integer Source #
Integral Integer | Since: base-2.0.1
Instance details Defined in GHC.Internal.Real Methods quot :: Integer -> Integer -> Integer Source # rem :: Integer -> Integer -> Integer Source # div :: Integer -> Integer -> Integer Source # mod :: Integer -> Integer -> Integer Source # quotRem :: Integer -> Integer -> (Integer, Integer) Source # divMod :: Integer -> Integer -> (Integer, Integer) Source # toInteger :: Integer -> Integer Source #
Integral Natural | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Real Methods quot :: Natural -> Natural -> Natural Source # rem :: Natural -> Natural -> Natural Source # div :: Natural -> Natural -> Natural Source # mod :: Natural -> Natural -> Natural Source # quotRem :: Natural -> Natural -> (Natural, Natural) Source # divMod :: Natural -> Natural -> (Natural, Natural) Source # toInteger :: Natural -> Integer Source #
Integral Int | Since: base-2.0.1
Instance details Defined in GHC.Internal.Real Methods quot :: Int -> Int -> Int Source # rem :: Int -> Int -> Int Source # div :: Int -> Int -> Int Source # mod :: Int -> Int -> Int Source # quotRem :: Int -> Int -> (Int, Int) Source # divMod :: Int -> Int -> (Int, Int) Source # toInteger :: Int -> Integer Source #
Integral Word | Since: base-2.1
Instance details Defined in GHC.Internal.Real Methods quot :: Word -> Word -> Word Source # rem :: Word -> Word -> Word Source # div :: Word -> Word -> Word Source # mod :: Word -> Word -> Word Source # quotRem :: Word -> Word -> (Word, Word) Source # divMod :: Word -> Word -> (Word, Word) Source # toInteger :: Word -> Integer Source #
Integral a => Integral (Identity a) | Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Data.Functor.Identity

Methods

quot :: Identity a -> Identity a -> Identity a Source #

rem :: Identity a -> Identity a -> Identity a Source #

div :: Identity a -> Identity a -> Identity a Source #

mod :: Identity a -> Identity a -> Identity a Source #

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

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

toInteger :: Identity a -> Integer Source #

Integral a => Integral (Const a b) | Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Data.Functor.Const

Methods

quot :: Const a b -> Const a b -> Const a b Source #

rem :: Const a b -> Const a b -> Const a b Source #

div :: Const a b -> Const a b -> Const a b Source #

mod :: Const a b -> Const a b -> Const a b Source #

quotRem :: Const a b -> Const a b -> (Const a b, Const a b) Source #

divMod :: Const a b -> Const a b -> (Const a b, Const a b) Source #

toInteger :: Const a b -> Integer Source #

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 Source #

rem :: Compose f g a -> Compose f g a -> Compose f g a Source #

div :: Compose f g a -> Compose f g a -> Compose f g a Source #

mod :: Compose f g a -> Compose f g a -> Compose f g a Source #

quotRem :: Compose f g a -> Compose f g a -> (Compose f g a, Compose f g a) Source #

divMod :: Compose f g a -> Compose f g a -> (Compose f g a, Compose f g a) Source #

toInteger :: Compose f g a -> Integer Source #

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

Real numbers.

The Haskell report defines no laws for `Real`, however `Real` instances are customarily expected to adhere to the following law:

Coherence with `fromRational`
  if the type also implements `Fractional`, 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 Source #

Rational equivalent of its real argument with full precision.

#### Instances

Instances details

Real IntPtr |
Instance details Defined in GHC.Internal.Foreign.Ptr Methods toRational :: IntPtr -> Rational Source #
Real WordPtr |
Instance details Defined in GHC.Internal.Foreign.Ptr Methods toRational :: WordPtr -> Rational Source #
Real Int16 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods toRational :: Int16 -> Rational Source #
Real Int32 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods toRational :: Int32 -> Rational Source #
Real Int64 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods toRational :: Int64 -> Rational Source #
Real Int8 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods toRational :: Int8 -> Rational Source #
Real CBlkCnt |
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CBlkCnt -> Rational Source #
Real CBlkSize |
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CBlkSize -> Rational Source #
Real CCc |
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CCc -> Rational Source #
Real CClockId |
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CClockId -> Rational Source #
Real CDev |
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CDev -> Rational Source #
Real CFsBlkCnt |
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CFsBlkCnt -> Rational Source #
Real CFsFilCnt |
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CFsFilCnt -> Rational Source #
Real CGid |
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CGid -> Rational Source #
Real CId |
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CId -> Rational Source #
Real CIno |
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CIno -> Rational Source #
Real CKey |
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CKey -> Rational Source #
Real CMode |
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CMode -> Rational Source #
Real CNfds |
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CNfds -> Rational Source #
Real CNlink |
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CNlink -> Rational Source #
Real COff |
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: COff -> Rational Source #
Real CPid |
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CPid -> Rational Source #
Real CRLim |
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CRLim -> Rational Source #
Real CSocklen |
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CSocklen -> Rational Source #
Real CSpeed |
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CSpeed -> Rational Source #
Real CSsize |
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CSsize -> Rational Source #
Real CTcflag |
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CTcflag -> Rational Source #
Real CUid |
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CUid -> Rational Source #
Real Fd |
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: Fd -> Rational Source #
Real Word16 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods toRational :: Word16 -> Rational Source #
Real Word32 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods toRational :: Word32 -> Rational Source #
Real Word64 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods toRational :: Word64 -> Rational Source #
Real Word8 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods toRational :: Word8 -> Rational Source #
Real Integer | Since: base-2.0.1
Instance details Defined in GHC.Internal.Real Methods toRational :: Integer -> Rational Source #
Real Natural | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Real Methods toRational :: Natural -> Rational Source #

Real Double

Beware that `toRational` generates garbage for non-finite arguments:

    >>> toRational (1/0)
    179769313 (and 300 more digits...) % 1
    >>> toRational (0/0)
    269653970 (and 300 more digits...) % 1

Since: base-2.1

Instance details Defined in GHC.Internal.Float Methods toRational :: Double -> Rational Source #

Real Float

Beware that `toRational` generates garbage for non-finite arguments:

    >>> toRational (1/0 :: Float)
    340282366920938463463374607431768211456 % 1
    >>> toRational (0/0 :: Float)
    510423550381407695195061911147652317184 % 1

Since: base-2.1

Instance details Defined in GHC.Internal.Float Methods toRational :: Float -> Rational Source #
Real Int | Since: base-2.0.1
Instance details Defined in GHC.Internal.Real Methods toRational :: Int -> Rational Source #
Real Word | Since: base-2.1
Instance details Defined in GHC.Internal.Real Methods toRational :: Word -> Rational Source #
Real a => Real (Identity a) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Functor.Identity Methods toRational :: Identity a -> Rational Source #
Real a => Real (Down a) | Since: base-4.14.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods toRational :: Down a -> Rational Source #
Integral a => Real (Ratio a) | Since: base-2.0.1
Instance details Defined in GHC.Internal.Real Methods toRational :: Ratio a -> Rational Source #
HasResolution a => Real (Fixed a) | Since: base-2.1
Instance details Defined in Data.Fixed Methods toRational :: Fixed a -> Rational Source #
Real a => Real (Const a b) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Functor.Const Methods toRational :: Const a b -> Rational Source #
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 Source #

class IsList l where Source #

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

Since: base-4.7.0.0

Minimal complete definition

fromList, toList

Associated Types

type Item l Source #

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

Methods

fromList :: [Item l] -> l Source #

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

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

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

    fromListN (length xs) xs == fromList xs

toList :: l -> [Item l] Source #

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

#### Instances

Instances details

IsList ByteArray | Since: base-4.17.0.0

Instance details

Defined in Data.Array.Byte

Associated Types

type Item ByteArray |
Instance details Defined in Data.Array.Byte type Item ByteArray = Word8

Methods

fromList :: [Item ByteArray] -> ByteArray Source #

fromListN :: Int -> [Item ByteArray] -> ByteArray Source #

toList :: ByteArray -> [Item ByteArray] Source #

IsList Version | Since: base-4.8.0.0

Instance details

Defined in GHC.Internal.IsList

Associated Types

type Item Version |
Instance details Defined in GHC.Internal.IsList type Item Version = Int

Methods

fromList :: [Item Version] -> Version Source #

fromListN :: Int -> [Item Version] -> Version Source #

toList :: Version -> [Item Version] Source #

IsList CallStack | Be aware that 'fromList . toList = id' only for unfrozen `CallStack`s, since `toList` removes frozenness information. Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.IsList

Associated Types

type Item CallStack |
Instance details Defined in GHC.Internal.IsList type Item CallStack = (String, SrcLoc)

Methods

fromList :: [Item CallStack] -> CallStack Source #

fromListN :: Int -> [Item CallStack] -> CallStack Source #

toList :: CallStack -> [Item CallStack] Source #

IsList (NonEmpty a) | Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.IsList

Associated Types

type Item (NonEmpty a) |
Instance details Defined in GHC.Internal.IsList type Item (NonEmpty a) = a

Methods

fromList :: [Item (NonEmpty a)] -> NonEmpty a Source #

fromListN :: Int -> [Item (NonEmpty a)] -> NonEmpty a Source #

toList :: NonEmpty a -> [Item (NonEmpty a)] Source #

IsList (ZipList a) | Since: base-4.15.0.0

Instance details

Defined in GHC.Internal.IsList

Associated Types

type Item (ZipList a) |
Instance details Defined in GHC.Internal.IsList type Item (ZipList a) = a

Methods

fromList :: [Item (ZipList a)] -> ZipList a Source #

fromListN :: Int -> [Item (ZipList a)] -> ZipList a Source #

toList :: ZipList a -> [Item (ZipList a)] Source #

IsList [a] | Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.IsList

Associated Types

type Item [a] |
Instance details Defined in GHC.Internal.IsList type Item [a] = a

Methods

fromList :: [Item [a]] -> [a] Source #

fromListN :: Int -> [Item [a]] -> [a] Source #

toList :: [a] -> [Item [a]] Source #

class Semigroup a => Monoid a where Source #

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

Right identity
  `x `<>` `mempty` = x`
Left identity
  ``mempty` `<>` x = x`
Associativity
  `x `<>` (y `<>` z) = (x `<>` y) `<>` 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 Source #

Identity of `mappend`

#### Examples

Expand

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

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

mappend :: a -> a -> a Source #

An associative operation

NOTE: This method is redundant and has the default implementation ``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 Source #

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 Source # mappend :: ByteArray -> ByteArray -> ByteArray Source # mconcat :: [ByteArray] -> ByteArray Source #
Monoid All | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods mempty :: All Source # mappend :: All -> All -> All Source # mconcat :: [All] -> All Source #
Monoid Any | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods mempty :: Any Source # mappend :: Any -> Any -> Any Source # mconcat :: [Any] -> Any Source #
Monoid Ordering | Since: base-2.1
Instance details Defined in GHC.Internal.Base Methods mempty :: Ordering Source # mappend :: Ordering -> Ordering -> Ordering Source # mconcat :: [Ordering] -> Ordering Source #
Monoid () | Since: base-2.1
Instance details Defined in GHC.Internal.Base Methods mempty :: () Source # mappend :: () -> () -> () Source # mconcat :: [()] -> () Source #

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 Source # mappend :: Comparison a -> Comparison a -> Comparison a Source # mconcat :: [Comparison a] -> Comparison a Source #

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 Source # mappend :: Equivalence a -> Equivalence a -> Equivalence a Source # mconcat :: [Equivalence a] -> Equivalence a Source #

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 Source # mappend :: Predicate a -> Predicate a -> Predicate a Source # mconcat :: [Predicate a] -> Predicate a Source #
(Ord a, Bounded a) => Monoid (Max a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods mempty :: Max a Source # mappend :: Max a -> Max a -> Max a Source # mconcat :: [Max a] -> Max a Source #
(Ord a, Bounded a) => Monoid (Min a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods mempty :: Min a Source # mappend :: Min a -> Min a -> Min a Source # mconcat :: [Min a] -> Min a Source #
Monoid m => Monoid (WrappedMonoid m) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods mempty :: WrappedMonoid m Source # mappend :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m Source # mconcat :: [WrappedMonoid m] -> WrappedMonoid m Source #
Monoid a => Monoid (STM a) | Since: base-4.17.0.0
Instance details Defined in GHC.Internal.Conc.Sync Methods mempty :: STM a Source # mappend :: STM a -> STM a -> STM a Source # mconcat :: [STM a] -> STM a Source #
FiniteBits a => Monoid (And a) | This constraint is arguably too strong. However, as some types (such as `Natural`) have undefined `complement`, this is the only safe choice. Since: base-4.16
Instance details Defined in GHC.Internal.Data.Bits Methods mempty :: And a Source # mappend :: And a -> And a -> And a Source # mconcat :: [And a] -> And a Source #
FiniteBits a => Monoid (Iff a) | This constraint is arguably too strong. However, as some types (such as `Natural`) have undefined `complement`, this is the only safe choice. Since: base-4.16
Instance details Defined in GHC.Internal.Data.Bits Methods mempty :: Iff a Source # mappend :: Iff a -> Iff a -> Iff a Source # mconcat :: [Iff a] -> Iff a Source #
Bits a => Monoid (Ior a) | Since: base-4.16
Instance details Defined in GHC.Internal.Data.Bits Methods mempty :: Ior a Source # mappend :: Ior a -> Ior a -> Ior a Source # mconcat :: [Ior a] -> Ior a Source #
Bits a => Monoid (Xor a) | Since: base-4.16
Instance details Defined in GHC.Internal.Data.Bits Methods mempty :: Xor a Source # mappend :: Xor a -> Xor a -> Xor a Source # mconcat :: [Xor a] -> Xor a Source #
Monoid a => Monoid (Identity a) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Functor.Identity Methods mempty :: Identity a Source # mappend :: Identity a -> Identity a -> Identity a Source # mconcat :: [Identity a] -> Identity a Source #
Monoid (First a) | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Monoid Methods mempty :: First a Source # mappend :: First a -> First a -> First a Source # mconcat :: [First a] -> First a Source #
Monoid (Last a) | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Monoid Methods mempty :: Last a Source # mappend :: Last a -> Last a -> Last a Source # mconcat :: [Last a] -> Last a Source #
Monoid a => Monoid (Down a) | Since: base-4.11.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods mempty :: Down a Source # mappend :: Down a -> Down a -> Down a Source # mconcat :: [Down a] -> Down a Source #
Monoid a => Monoid (Dual a) | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods mempty :: Dual a Source # mappend :: Dual a -> Dual a -> Dual a Source # mconcat :: [Dual a] -> Dual a Source #
Monoid (Endo a) | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods mempty :: Endo a Source # mappend :: Endo a -> Endo a -> Endo a Source # mconcat :: [Endo a] -> Endo a Source #
Num a => Monoid (Product a) | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods mempty :: Product a Source # mappend :: Product a -> Product a -> Product a Source # mconcat :: [Product a] -> Product a Source #
Num a => Monoid (Sum a) | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods mempty :: Sum a Source # mappend :: Sum a -> Sum a -> Sum a Source # mconcat :: [Sum a] -> Sum a Source #
(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 Source # mappend :: Generically a -> Generically a -> Generically a Source # mconcat :: [Generically a] -> Generically a Source #
Monoid p => Monoid (Par1 p) | Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Generics Methods mempty :: Par1 p Source # mappend :: Par1 p -> Par1 p -> Par1 p Source # mconcat :: [Par1 p] -> Par1 p Source #
Monoid a => Monoid (IO a) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods mempty :: IO a Source # mappend :: IO a -> IO a -> IO a Source # mconcat :: [IO a] -> IO a Source #
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-2.1
Instance details Defined in GHC.Internal.Base Methods mempty :: Maybe a Source # mappend :: Maybe a -> Maybe a -> Maybe a Source # mconcat :: [Maybe a] -> Maybe a Source #
Monoid a => Monoid (Solo a) | Since: base-4.15
Instance details Defined in GHC.Internal.Base Methods mempty :: Solo a Source # mappend :: Solo a -> Solo a -> Solo a Source # mconcat :: [Solo a] -> Solo a Source #
Monoid [a] | Since: base-2.1
Instance details Defined in GHC.Internal.Base Methods mempty :: [a] Source # mappend :: [a] -> [a] -> [a] Source # mconcat :: [[a]] -> [a] Source #

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 Source # mappend :: Op a b -> Op a b -> Op a b Source # mconcat :: [Op a b] -> Op a b Source #
Monoid (Proxy s) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Proxy Methods mempty :: Proxy s Source # mappend :: Proxy s -> Proxy s -> Proxy s Source # mconcat :: [Proxy s] -> Proxy s Source #
Monoid (U1 p) | Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Generics Methods mempty :: U1 p Source # mappend :: U1 p -> U1 p -> U1 p Source # mconcat :: [U1 p] -> U1 p Source #
Monoid a => Monoid (ST s a) | Since: base-4.11.0.0
Instance details Defined in GHC.Internal.ST Methods mempty :: ST s a Source # mappend :: ST s a -> ST s a -> ST s a Source # mconcat :: [ST s a] -> ST s a Source #
(Monoid a, Monoid b) => Monoid (a, b) | Since: base-2.1
Instance details Defined in GHC.Internal.Base Methods mempty :: (a, b) Source # mappend :: (a, b) -> (a, b) -> (a, b) Source # mconcat :: [(a, b)] -> (a, b) Source #
Monoid b => Monoid (a -> b) | Since: base-2.1
Instance details Defined in GHC.Internal.Base Methods mempty :: a -> b Source # mappend :: (a -> b) -> (a -> b) -> a -> b Source # mconcat :: [a -> b] -> a -> b Source #
Monoid a => Monoid (Const a b) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Functor.Const Methods mempty :: Const a b Source # mappend :: Const a b -> Const a b -> Const a b Source # mconcat :: [Const a b] -> Const a b Source #
(Applicative f, Monoid a) => Monoid (Ap f a) | Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Monoid Methods mempty :: Ap f a Source # mappend :: Ap f a -> Ap f a -> Ap f a Source # mconcat :: [Ap f a] -> Ap f a Source #
Alternative f => Monoid (Alt f a) | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods mempty :: Alt f a Source # mappend :: Alt f a -> Alt f a -> Alt f a Source # mconcat :: [Alt f a] -> Alt f a Source #
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 Source # mappend :: Rec1 f p -> Rec1 f p -> Rec1 f p Source # mconcat :: [Rec1 f p] -> Rec1 f p Source #
(Monoid a, Monoid b, Monoid c) => Monoid (a, b, c) | Since: base-2.1
Instance details Defined in GHC.Internal.Base Methods mempty :: (a, b, c) Source # mappend :: (a, b, c) -> (a, b, c) -> (a, b, c) Source # mconcat :: [(a, b, c)] -> (a, b, c) Source #
(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 Source # mappend :: Product f g a -> Product f g a -> Product f g a Source # mconcat :: [Product f g a] -> Product f g a Source #
(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 Source # mappend :: (f :*: g) p -> (f :*: g) p -> (f :*: g) p Source # mconcat :: [(f :*: g) p] -> (f :*: g) p Source #
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 Source # mappend :: K1 i c p -> K1 i c p -> K1 i c p Source # mconcat :: [K1 i c p] -> K1 i c p Source #
(Monoid a, Monoid b, Monoid c, Monoid d) => Monoid (a, b, c, d) | Since: base-2.1
Instance details Defined in GHC.Internal.Base Methods mempty :: (a, b, c, d) Source # mappend :: (a, b, c, d) -> (a, b, c, d) -> (a, b, c, d) Source # mconcat :: [(a, b, c, d)] -> (a, b, c, d) Source #
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 Source # mappend :: Compose f g a -> Compose f g a -> Compose f g a Source # mconcat :: [Compose f g a] -> Compose f g a Source #
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 Source # mappend :: (f :.: g) p -> (f :.: g) p -> (f :.: g) p Source # mconcat :: [(f :.: g) p] -> (f :.: g) p Source #
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 Source # mappend :: M1 i c f p -> M1 i c f p -> M1 i c f p Source # mconcat :: [M1 i c f p] -> M1 i c f p Source #
(Monoid a, Monoid b, Monoid c, Monoid d, Monoid e) => Monoid (a, b, c, d, e) | Since: base-2.1
Instance details Defined in GHC.Internal.Base Methods mempty :: (a, b, c, d, e) Source # mappend :: (a, b, c, d, e) -> (a, b, c, d, e) -> (a, b, c, d, e) Source # mconcat :: [(a, b, c, d, e)] -> (a, b, c, d, e) Source #

class Bounded a where Source #

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

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

Methods

minBound :: a Source #

maxBound :: a Source #

#### Instances

Instances details

Bounded All | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods minBound :: All Source # maxBound :: All Source #
Bounded Any | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods minBound :: Any Source # maxBound :: Any Source #
Bounded IntPtr |
Instance details Defined in GHC.Internal.Foreign.Ptr Methods minBound :: IntPtr Source # maxBound :: IntPtr Source #
Bounded WordPtr |
Instance details Defined in GHC.Internal.Foreign.Ptr Methods minBound :: WordPtr Source # maxBound :: WordPtr Source #
Bounded Associativity | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods minBound :: Associativity Source # maxBound :: Associativity Source #
Bounded DecidedStrictness | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods minBound :: DecidedStrictness Source # maxBound :: DecidedStrictness Source #
Bounded SourceStrictness | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods minBound :: SourceStrictness Source # maxBound :: SourceStrictness Source #
Bounded SourceUnpackedness | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods minBound :: SourceUnpackedness Source # maxBound :: SourceUnpackedness Source #
Bounded Int16 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods minBound :: Int16 Source # maxBound :: Int16 Source #
Bounded Int32 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods minBound :: Int32 Source # maxBound :: Int32 Source #
Bounded Int64 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods minBound :: Int64 Source # maxBound :: Int64 Source #
Bounded Int8 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods minBound :: Int8 Source # maxBound :: Int8 Source #
Bounded CBlkCnt |
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CBlkCnt Source # maxBound :: CBlkCnt Source #
Bounded CBlkSize |
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CBlkSize Source # maxBound :: CBlkSize Source #
Bounded CClockId |
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CClockId Source # maxBound :: CClockId Source #
Bounded CDev |
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CDev Source # maxBound :: CDev Source #
Bounded CFsBlkCnt |
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CFsBlkCnt Source # maxBound :: CFsBlkCnt Source #
Bounded CFsFilCnt |
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CFsFilCnt Source # maxBound :: CFsFilCnt Source #
Bounded CGid |
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CGid Source # maxBound :: CGid Source #
Bounded CId |
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CId Source # maxBound :: CId Source #
Bounded CIno |
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CIno Source # maxBound :: CIno Source #
Bounded CKey |
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CKey Source # maxBound :: CKey Source #
Bounded CMode |
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CMode Source # maxBound :: CMode Source #
Bounded CNfds |
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CNfds Source # maxBound :: CNfds Source #
Bounded CNlink |
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CNlink Source # maxBound :: CNlink Source #
Bounded COff |
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: COff Source # maxBound :: COff Source #
Bounded CPid |
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CPid Source # maxBound :: CPid Source #
Bounded CRLim |
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CRLim Source # maxBound :: CRLim Source #
Bounded CSocklen |
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CSocklen Source # maxBound :: CSocklen Source #
Bounded CSsize |
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CSsize Source # maxBound :: CSsize Source #
Bounded CTcflag |
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CTcflag Source # maxBound :: CTcflag Source #
Bounded CUid |
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CUid Source # maxBound :: CUid Source #
Bounded Fd |
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: Fd Source # maxBound :: Fd Source #
Bounded GeneralCategory | Since: base-2.1
Instance details Defined in GHC.Internal.Unicode Methods minBound :: GeneralCategory Source # maxBound :: GeneralCategory Source #
Bounded Word16 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods minBound :: Word16 Source # maxBound :: Word16 Source #
Bounded Word32 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods minBound :: Word32 Source # maxBound :: Word32 Source #
Bounded Word64 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods minBound :: Word64 Source # maxBound :: Word64 Source #
Bounded Word8 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods minBound :: Word8 Source # maxBound :: Word8 Source #
Bounded Ordering | Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods minBound :: Ordering Source # maxBound :: Ordering Source #
Bounded () | Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods minBound :: () Source # maxBound :: () Source #
Bounded Bool | Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods minBound :: Bool Source # maxBound :: Bool Source #
Bounded Char | Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods minBound :: Char Source # maxBound :: Char Source #
Bounded Int | Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods minBound :: Int Source # maxBound :: Int Source #
Bounded Levity | Since: base-4.16.0.0
Instance details Defined in GHC.Internal.Enum Methods minBound :: Levity Source # maxBound :: Levity Source #
Bounded VecCount | Since: base-4.10.0.0
Instance details Defined in GHC.Internal.Enum Methods minBound :: VecCount Source # maxBound :: VecCount Source #
Bounded VecElem | Since: base-4.10.0.0
Instance details Defined in GHC.Internal.Enum Methods minBound :: VecElem Source # maxBound :: VecElem Source #
Bounded Word | Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods minBound :: Word Source # maxBound :: Word Source #
Bounded a => Bounded (First a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods minBound :: First a Source # maxBound :: First a Source #
Bounded a => Bounded (Last a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods minBound :: Last a Source # maxBound :: Last a Source #
Bounded a => Bounded (Max a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods minBound :: Max a Source # maxBound :: Max a Source #
Bounded a => Bounded (Min a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods minBound :: Min a Source # maxBound :: Min a Source #
Bounded m => Bounded (WrappedMonoid m) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods minBound :: WrappedMonoid m Source # maxBound :: WrappedMonoid m Source #
Bounded a => Bounded (And a) | Since: base-4.16
Instance details Defined in GHC.Internal.Data.Bits Methods minBound :: And a Source # maxBound :: And a Source #
Bounded a => Bounded (Iff a) | Since: base-4.16
Instance details Defined in GHC.Internal.Data.Bits Methods minBound :: Iff a Source # maxBound :: Iff a Source #
Bounded a => Bounded (Ior a) | Since: base-4.16
Instance details Defined in GHC.Internal.Data.Bits Methods minBound :: Ior a Source # maxBound :: Ior a Source #
Bounded a => Bounded (Xor a) | Since: base-4.16
Instance details Defined in GHC.Internal.Data.Bits Methods minBound :: Xor a Source # maxBound :: Xor a Source #
Bounded a => Bounded (Identity a) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Functor.Identity Methods minBound :: Identity a Source # maxBound :: Identity a Source #
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 Source # maxBound :: Down a Source #
Bounded a => Bounded (Dual a) | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods minBound :: Dual a Source # maxBound :: Dual a Source #
Bounded a => Bounded (Product a) | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods minBound :: Product a Source # maxBound :: Product a Source #
Bounded a => Bounded (Sum a) | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods minBound :: Sum a Source # maxBound :: Sum a Source #
Bounded a => Bounded (Solo a) |
Instance details Defined in GHC.Internal.Enum Methods minBound :: Solo a Source # maxBound :: Solo a Source #
Bounded (Proxy t) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Proxy Methods minBound :: Proxy t Source # maxBound :: Proxy t Source #
(Bounded a, Bounded b) => Bounded (a, b) | Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods minBound :: (a, b) Source # maxBound :: (a, b) Source #
Bounded a => Bounded (Const a b) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Functor.Const Methods minBound :: Const a b Source # maxBound :: Const a b Source #
(Applicative f, Bounded a) => Bounded (Ap f a) | Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Monoid Methods minBound :: Ap f a Source # maxBound :: Ap f a Source #
a ~ b => Bounded (a :~: b) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Type.Equality Methods minBound :: a :~: b Source # maxBound :: a :~: b Source #
(Bounded a, Bounded b, Bounded c) => Bounded (a, b, c) | Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods minBound :: (a, b, c) Source # maxBound :: (a, b, c) Source #
a ~~ b => Bounded (a :~~: b) | Since: base-4.10.0.0
Instance details Defined in GHC.Internal.Data.Type.Equality Methods minBound :: a :~~: b Source # maxBound :: a :~~: b Source #
(Bounded a, Bounded b, Bounded c, Bounded d) => Bounded (a, b, c, d) | Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods minBound :: (a, b, c, d) Source # maxBound :: (a, b, c, d) Source #
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 Source # maxBound :: Compose f g a Source #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e) => Bounded (a, b, c, d, e) | Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods minBound :: (a, b, c, d, e) Source # maxBound :: (a, b, c, d, e) Source #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f) => Bounded (a, b, c, d, e, f) | Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods minBound :: (a, b, c, d, e, f) Source # maxBound :: (a, b, c, d, e, f) Source #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g) => Bounded (a, b, c, d, e, f, g) | Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods minBound :: (a, b, c, d, e, f, g) Source # maxBound :: (a, b, c, d, e, f, g) Source #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h) => Bounded (a, b, c, d, e, f, g, h) | Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods minBound :: (a, b, c, d, e, f, g, h) Source # maxBound :: (a, b, c, d, e, f, g, h) Source #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i) => Bounded (a, b, c, d, e, f, g, h, i) | Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods minBound :: (a, b, c, d, e, f, g, h, i) Source # maxBound :: (a, b, c, d, e, f, g, h, i) Source #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j) => Bounded (a, b, c, d, e, f, g, h, i, j) | Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods minBound :: (a, b, c, d, e, f, g, h, i, j) Source # maxBound :: (a, b, c, d, e, f, g, h, i, j) Source #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k) => Bounded (a, b, c, d, e, f, g, h, i, j, k) | Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods minBound :: (a, b, c, d, e, f, g, h, i, j, k) Source # maxBound :: (a, b, c, d, e, f, g, h, i, j, k) Source #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k, Bounded l) => Bounded (a, b, c, d, e, f, g, h, i, j, k, l) | Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods minBound :: (a, b, c, d, e, f, g, h, i, j, k, l) Source # maxBound :: (a, b, c, d, e, f, g, h, i, j, k, l) Source #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k, Bounded l, Bounded m) => Bounded (a, b, c, d, e, f, g, h, i, j, k, l, m) | Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods minBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m) Source # maxBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m) Source #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k, Bounded l, Bounded m, Bounded n) => Bounded (a, b, c, d, e, f, g, h, i, j, k, l, m, n) | Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods minBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) Source # maxBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) Source #
(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k, Bounded l, Bounded m, Bounded n, Bounded o) => Bounded (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) | Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods minBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) Source # maxBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) Source #

class Read a where Source #

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

Methods

readsPrec Source #

Arguments

:: Int | the operator precedence of the enclosing context (a number from `0` to `11`). Function application has precedence `10`.
-> ReadS a |

attempts to parse a value from the front of the string, returning a list of (parsed value, remaining string) pairs. If there is no successful parse, the returned list is empty.

Derived instances of `Read` and `Show` satisfy the following:

- `(x,"")` is an element of `(`readsPrec` d (`showsPrec` d x ""))`.

That is, `readsPrec` parses the string produced by `showsPrec`, and delivers the value that `showsPrec` started with.

readList :: ReadS [a] Source #

The method `readList` is provided to allow the programmer to give a specialised way of parsing lists of values. For example, this is used by the predefined `Read` instance of the `Char` type, where values of type `String` are expected to use double quotes, rather than square brackets.

readPrec :: ReadPrec a Source #

Proposed replacement for `readsPrec` using new-style parsers (GHC only).

readListPrec :: ReadPrec [a] Source #

Proposed replacement for `readList` using new-style parsers (GHC only). The default definition uses `readList`. Instances that define `readPrec` should also define `readListPrec` as `readListPrecDefault`.

#### Instances

Instances details

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 Source # readList :: ReadS [Void] Source # readPrec :: ReadPrec Void Source # readListPrec :: ReadPrec [Void] Source #
Read All | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods readsPrec :: Int -> ReadS All Source # readList :: ReadS [All] Source # readPrec :: ReadPrec All Source # readListPrec :: ReadPrec [All] Source #
Read Any | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods readsPrec :: Int -> ReadS Any Source # readList :: ReadS [Any] Source # readPrec :: ReadPrec Any Source # readListPrec :: ReadPrec [Any] Source #
Read Version | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Version Methods readsPrec :: Int -> ReadS Version Source # readList :: ReadS [Version] Source # readPrec :: ReadPrec Version Source # readListPrec :: ReadPrec [Version] Source #
Read IntPtr |
Instance details Defined in GHC.Internal.Foreign.Ptr Methods readsPrec :: Int -> ReadS IntPtr Source # readList :: ReadS [IntPtr] Source # readPrec :: ReadPrec IntPtr Source # readListPrec :: ReadPrec [IntPtr] Source #
Read WordPtr |
Instance details Defined in GHC.Internal.Foreign.Ptr Methods readsPrec :: Int -> ReadS WordPtr Source # readList :: ReadS [WordPtr] Source # readPrec :: ReadPrec WordPtr Source # readListPrec :: ReadPrec [WordPtr] Source #
Read Associativity | Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Generics Methods readsPrec :: Int -> ReadS Associativity Source # readList :: ReadS [Associativity] Source # readPrec :: ReadPrec Associativity Source # readListPrec :: ReadPrec [Associativity] Source #
Read DecidedStrictness | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods readsPrec :: Int -> ReadS DecidedStrictness Source # readList :: ReadS [DecidedStrictness] Source # readPrec :: ReadPrec DecidedStrictness Source # readListPrec :: ReadPrec [DecidedStrictness] Source #
Read Fixity | Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Generics Methods readsPrec :: Int -> ReadS Fixity Source # readList :: ReadS [Fixity] Source # readPrec :: ReadPrec Fixity Source # readListPrec :: ReadPrec [Fixity] Source #
Read SourceStrictness | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods readsPrec :: Int -> ReadS SourceStrictness Source # readList :: ReadS [SourceStrictness] Source # readPrec :: ReadPrec SourceStrictness Source # readListPrec :: ReadPrec [SourceStrictness] Source #
Read SourceUnpackedness | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods readsPrec :: Int -> ReadS SourceUnpackedness Source # readList :: ReadS [SourceUnpackedness] Source # readPrec :: ReadPrec SourceUnpackedness Source # readListPrec :: ReadPrec [SourceUnpackedness] Source #
Read SeekMode | Since: base-4.2.0.0
Instance details Defined in GHC.Internal.IO.Device Methods readsPrec :: Int -> ReadS SeekMode Source # readList :: ReadS [SeekMode] Source # readPrec :: ReadPrec SeekMode Source # readListPrec :: ReadPrec [SeekMode] Source #
Read ExitCode |
Instance details Defined in GHC.Internal.IO.Exception Methods readsPrec :: Int -> ReadS ExitCode Source # readList :: ReadS [ExitCode] Source # readPrec :: ReadPrec ExitCode Source # readListPrec :: ReadPrec [ExitCode] Source #
Read BufferMode | Since: base-4.2.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods readsPrec :: Int -> ReadS BufferMode Source # readList :: ReadS [BufferMode] Source # readPrec :: ReadPrec BufferMode Source # readListPrec :: ReadPrec [BufferMode] Source #
Read Newline | Since: base-4.3.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods readsPrec :: Int -> ReadS Newline Source # readList :: ReadS [Newline] Source # readPrec :: ReadPrec Newline Source # readListPrec :: ReadPrec [Newline] Source #
Read NewlineMode | Since: base-4.3.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods readsPrec :: Int -> ReadS NewlineMode Source # readList :: ReadS [NewlineMode] Source # readPrec :: ReadPrec NewlineMode Source # readListPrec :: ReadPrec [NewlineMode] Source #
Read IOMode | Since: base-4.2.0.0
Instance details Defined in GHC.Internal.IO.IOMode Methods readsPrec :: Int -> ReadS IOMode Source # readList :: ReadS [IOMode] Source # readPrec :: ReadPrec IOMode Source # readListPrec :: ReadPrec [IOMode] Source #
Read Int16 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods readsPrec :: Int -> ReadS Int16 Source # readList :: ReadS [Int16] Source # readPrec :: ReadPrec Int16 Source # readListPrec :: ReadPrec [Int16] Source #
Read Int32 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods readsPrec :: Int -> ReadS Int32 Source # readList :: ReadS [Int32] Source # readPrec :: ReadPrec Int32 Source # readListPrec :: ReadPrec [Int32] Source #
Read Int64 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods readsPrec :: Int -> ReadS Int64 Source # readList :: ReadS [Int64] Source # readPrec :: ReadPrec Int64 Source # readListPrec :: ReadPrec [Int64] Source #
Read Int8 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods readsPrec :: Int -> ReadS Int8 Source # readList :: ReadS [Int8] Source # readPrec :: ReadPrec Int8 Source # readListPrec :: ReadPrec [Int8] Source #
Read CBlkCnt |
Instance details Defined in GHC.Internal.System.Posix.Types Methods readsPrec :: Int -> ReadS CBlkCnt Source # readList :: ReadS [CBlkCnt] Source # readPrec :: ReadPrec CBlkCnt Source # readListPrec :: ReadPrec [CBlkCnt] Source #
Read CBlkSize |
Instance details Defined in GHC.Internal.System.Posix.Types Methods readsPrec :: Int -> ReadS CBlkSize Source # readList :: ReadS [CBlkSize] Source # readPrec :: ReadPrec CBlkSize Source # readListPrec :: ReadPrec [CBlkSize] Source #
Read CCc |
Instance details Defined in GHC.Internal.System.Posix.Types Methods readsPrec :: Int -> ReadS CCc Source # readList :: ReadS [CCc] Source # readPrec :: ReadPrec CCc Source # readListPrec :: ReadPrec [CCc] Source #
Read CClockId |
Instance details Defined in GHC.Internal.System.Posix.Types Methods readsPrec :: Int -> ReadS CClockId Source # readList :: ReadS [CClockId] Source # readPrec :: ReadPrec CClockId Source # readListPrec :: ReadPrec [CClockId] Source #
Read CDev |
Instance details Defined in GHC.Internal.System.Posix.Types Methods readsPrec :: Int -> ReadS CDev Source # readList :: ReadS [CDev] Source # readPrec :: ReadPrec CDev Source # readListPrec :: ReadPrec [CDev] Source #
Read CFsBlkCnt |
Instance details Defined in GHC.Internal.System.Posix.Types Methods readsPrec :: Int -> ReadS CFsBlkCnt Source # readList :: ReadS [CFsBlkCnt] Source # readPrec :: ReadPrec CFsBlkCnt Source # readListPrec :: ReadPrec [CFsBlkCnt] Source #
Read CFsFilCnt |
Instance details Defined in GHC.Internal.System.Posix.Types Methods readsPrec :: Int -> ReadS CFsFilCnt Source # readList :: ReadS [CFsFilCnt] Source # readPrec :: ReadPrec CFsFilCnt Source # readListPrec :: ReadPrec [CFsFilCnt] Source #
Read CGid |
Instance details Defined in GHC.Internal.System.Posix.Types Methods readsPrec :: Int -> ReadS CGid Source # readList :: ReadS [CGid] Source # readPrec :: ReadPrec CGid Source # readListPrec :: ReadPrec [CGid] Source #
Read CId |
Instance details Defined in GHC.Internal.System.Posix.Types Methods readsPrec :: Int -> ReadS CId Source # readList :: ReadS [CId] Source # readPrec :: ReadPrec CId Source # readListPrec :: ReadPrec [CId] Source #
Read CIno |
Instance details Defined in GHC.Internal.System.Posix.Types Methods readsPrec :: Int -> ReadS CIno Source # readList :: ReadS [CIno] Source # readPrec :: ReadPrec CIno Source # readListPrec :: ReadPrec [CIno] Source #
Read CKey |
Instance details Defined in GHC.Internal.System.Posix.Types Methods readsPrec :: Int -> ReadS CKey Source # readList :: ReadS [CKey] Source # readPrec :: ReadPrec CKey Source # readListPrec :: ReadPrec [CKey] Source #
Read CMode |
Instance details Defined in GHC.Internal.System.Posix.Types Methods readsPrec :: Int -> ReadS CMode Source # readList :: ReadS [CMode] Source # readPrec :: ReadPrec CMode Source # readListPrec :: ReadPrec [CMode] Source #
Read CNfds |
Instance details Defined in GHC.Internal.System.Posix.Types Methods readsPrec :: Int -> ReadS CNfds Source # readList :: ReadS [CNfds] Source # readPrec :: ReadPrec CNfds Source # readListPrec :: ReadPrec [CNfds] Source #
Read CNlink |
Instance details Defined in GHC.Internal.System.Posix.Types Methods readsPrec :: Int -> ReadS CNlink Source # readList :: ReadS [CNlink] Source # readPrec :: ReadPrec CNlink Source # readListPrec :: ReadPrec [CNlink] Source #
Read COff |
Instance details Defined in GHC.Internal.System.Posix.Types Methods readsPrec :: Int -> ReadS COff Source # readList :: ReadS [COff] Source # readPrec :: ReadPrec COff Source # readListPrec :: ReadPrec [COff] Source #
Read CPid |
Instance details Defined in GHC.Internal.System.Posix.Types Methods readsPrec :: Int -> ReadS CPid Source # readList :: ReadS [CPid] Source # readPrec :: ReadPrec CPid Source # readListPrec :: ReadPrec [CPid] Source #
Read CRLim |
Instance details Defined in GHC.Internal.System.Posix.Types Methods readsPrec :: Int -> ReadS CRLim Source # readList :: ReadS [CRLim] Source # readPrec :: ReadPrec CRLim Source # readListPrec :: ReadPrec [CRLim] Source #
Read CSocklen |
Instance details Defined in GHC.Internal.System.Posix.Types Methods readsPrec :: Int -> ReadS CSocklen Source # readList :: ReadS [CSocklen] Source # readPrec :: ReadPrec CSocklen Source # readListPrec :: ReadPrec [CSocklen] Source #
Read CSpeed |
Instance details Defined in GHC.Internal.System.Posix.Types Methods readsPrec :: Int -> ReadS CSpeed Source # readList :: ReadS [CSpeed] Source # readPrec :: ReadPrec CSpeed Source # readListPrec :: ReadPrec [CSpeed] Source #
Read CSsize |
Instance details Defined in GHC.Internal.System.Posix.Types Methods readsPrec :: Int -> ReadS CSsize Source # readList :: ReadS [CSsize] Source # readPrec :: ReadPrec CSsize Source # readListPrec :: ReadPrec [CSsize] Source #
Read CTcflag |
Instance details Defined in GHC.Internal.System.Posix.Types Methods readsPrec :: Int -> ReadS CTcflag Source # readList :: ReadS [CTcflag] Source # readPrec :: ReadPrec CTcflag Source # readListPrec :: ReadPrec [CTcflag] Source #
Read CUid |
Instance details Defined in GHC.Internal.System.Posix.Types Methods readsPrec :: Int -> ReadS CUid Source # readList :: ReadS [CUid] Source # readPrec :: ReadPrec CUid Source # readListPrec :: ReadPrec [CUid] Source #
Read Fd |
Instance details Defined in GHC.Internal.System.Posix.Types Methods readsPrec :: Int -> ReadS Fd Source # readList :: ReadS [Fd] Source # readPrec :: ReadPrec Fd Source # readListPrec :: ReadPrec [Fd] Source #
Read Lexeme | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Lexeme Source # readList :: ReadS [Lexeme] Source # readPrec :: ReadPrec Lexeme Source # readListPrec :: ReadPrec [Lexeme] Source #
Read GeneralCategory | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS GeneralCategory Source # readList :: ReadS [GeneralCategory] Source # readPrec :: ReadPrec GeneralCategory Source # readListPrec :: ReadPrec [GeneralCategory] Source #
Read Word16 | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Word16 Source # readList :: ReadS [Word16] Source # readPrec :: ReadPrec Word16 Source # readListPrec :: ReadPrec [Word16] Source #
Read Word32 | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Word32 Source # readList :: ReadS [Word32] Source # readPrec :: ReadPrec Word32 Source # readListPrec :: ReadPrec [Word32] Source #
Read Word64 | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Word64 Source # readList :: ReadS [Word64] Source # readPrec :: ReadPrec Word64 Source # readListPrec :: ReadPrec [Word64] Source #
Read Word8 | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Word8 Source # readList :: ReadS [Word8] Source # readPrec :: ReadPrec Word8 Source # readListPrec :: ReadPrec [Word8] Source #
Read Ordering | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Ordering Source # readList :: ReadS [Ordering] Source # readPrec :: ReadPrec Ordering Source # readListPrec :: ReadPrec [Ordering] Source #
Read Integer | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Integer Source # readList :: ReadS [Integer] Source # readPrec :: ReadPrec Integer Source # readListPrec :: ReadPrec [Integer] Source #
Read Natural | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Natural Source # readList :: ReadS [Natural] Source # readPrec :: ReadPrec Natural Source # readListPrec :: ReadPrec [Natural] Source #
Read () | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS () Source # readList :: ReadS [()] Source # readPrec :: ReadPrec () Source # readListPrec :: ReadPrec [()] Source #
Read Bool | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Bool Source # readList :: ReadS [Bool] Source # readPrec :: ReadPrec Bool Source # readListPrec :: ReadPrec [Bool] Source #
Read Char | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Char Source # readList :: ReadS [Char] Source # readPrec :: ReadPrec Char Source # readListPrec :: ReadPrec [Char] Source #
Read Double | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Double Source # readList :: ReadS [Double] Source # readPrec :: ReadPrec Double Source # readListPrec :: ReadPrec [Double] Source #
Read Float | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Float Source # readList :: ReadS [Float] Source # readPrec :: ReadPrec Float Source # readListPrec :: ReadPrec [Float] Source #
Read Int | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Int Source # readList :: ReadS [Int] Source # readPrec :: ReadPrec Int Source # readListPrec :: ReadPrec [Int] Source #
Read Word | Since: base-4.5.0.0
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Word Source # readList :: ReadS [Word] Source # readPrec :: ReadPrec Word Source # readListPrec :: ReadPrec [Word] Source #
Read a => Read (Complex a) | Since: base-2.1
Instance details Defined in Data.Complex Methods readsPrec :: Int -> ReadS (Complex a) Source # readList :: ReadS [Complex a] Source # readPrec :: ReadPrec (Complex a) Source # readListPrec :: ReadPrec [Complex a] Source #
Read a => Read (First a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods readsPrec :: Int -> ReadS (First a) Source # readList :: ReadS [First a] Source # readPrec :: ReadPrec (First a) Source # readListPrec :: ReadPrec [First a] Source #
Read a => Read (Last a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods readsPrec :: Int -> ReadS (Last a) Source # readList :: ReadS [Last a] Source # readPrec :: ReadPrec (Last a) Source # readListPrec :: ReadPrec [Last a] Source #
Read a => Read (Max a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods readsPrec :: Int -> ReadS (Max a) Source # readList :: ReadS [Max a] Source # readPrec :: ReadPrec (Max a) Source # readListPrec :: ReadPrec [Max a] Source #
Read a => Read (Min a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods readsPrec :: Int -> ReadS (Min a) Source # readList :: ReadS [Min a] Source # readPrec :: ReadPrec (Min a) Source # readListPrec :: ReadPrec [Min a] Source #
Read m => Read (WrappedMonoid m) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods readsPrec :: Int -> ReadS (WrappedMonoid m) Source # readList :: ReadS [WrappedMonoid m] Source # readPrec :: ReadPrec (WrappedMonoid m) Source # readListPrec :: ReadPrec [WrappedMonoid m] Source #
Read a => Read (NonEmpty a) | Since: base-4.11.0.0
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (NonEmpty a) Source # readList :: ReadS [NonEmpty a] Source # readPrec :: ReadPrec (NonEmpty a) Source # readListPrec :: ReadPrec [NonEmpty a] Source #
Read a => Read (And a) | Since: base-4.16
Instance details Defined in GHC.Internal.Data.Bits Methods readsPrec :: Int -> ReadS (And a) Source # readList :: ReadS [And a] Source # readPrec :: ReadPrec (And a) Source # readListPrec :: ReadPrec [And a] Source #
Read a => Read (Iff a) | Since: base-4.16
Instance details Defined in GHC.Internal.Data.Bits Methods readsPrec :: Int -> ReadS (Iff a) Source # readList :: ReadS [Iff a] Source # readPrec :: ReadPrec (Iff a) Source # readListPrec :: ReadPrec [Iff a] Source #
Read a => Read (Ior a) | Since: base-4.16
Instance details Defined in GHC.Internal.Data.Bits Methods readsPrec :: Int -> ReadS (Ior a) Source # readList :: ReadS [Ior a] Source # readPrec :: ReadPrec (Ior a) Source # readListPrec :: ReadPrec [Ior a] Source #
Read a => Read (Xor a) | Since: base-4.16
Instance details Defined in GHC.Internal.Data.Bits Methods readsPrec :: Int -> ReadS (Xor a) Source # readList :: ReadS [Xor a] Source # readPrec :: ReadPrec (Xor a) Source # readListPrec :: ReadPrec [Xor a] Source #
Read a => Read (Identity a) | This instance would be equivalent to the derived instances of the `Identity` newtype if the `runIdentity` field were removed Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Functor.Identity Methods readsPrec :: Int -> ReadS (Identity a) Source # readList :: ReadS [Identity a] Source # readPrec :: ReadPrec (Identity a) Source # readListPrec :: ReadPrec [Identity a] Source #
Read a => Read (First a) | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Monoid Methods readsPrec :: Int -> ReadS (First a) Source # readList :: ReadS [First a] Source # readPrec :: ReadPrec (First a) Source # readListPrec :: ReadPrec [First a] Source #
Read a => Read (Last a) | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Monoid Methods readsPrec :: Int -> ReadS (Last a) Source # readList :: ReadS [Last a] Source # readPrec :: ReadPrec (Last a) Source # readListPrec :: ReadPrec [Last a] Source #
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) Source # readList :: ReadS [Down a] Source # readPrec :: ReadPrec (Down a) Source # readListPrec :: ReadPrec [Down a] Source #
Read a => Read (Dual a) | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods readsPrec :: Int -> ReadS (Dual a) Source # readList :: ReadS [Dual a] Source # readPrec :: ReadPrec (Dual a) Source # readListPrec :: ReadPrec [Dual a] Source #
Read a => Read (Product a) | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods readsPrec :: Int -> ReadS (Product a) Source # readList :: ReadS [Product a] Source # readPrec :: ReadPrec (Product a) Source # readListPrec :: ReadPrec [Product a] Source #
Read a => Read (Sum a) | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods readsPrec :: Int -> ReadS (Sum a) Source # readList :: ReadS [Sum a] Source # readPrec :: ReadPrec (Sum a) Source # readListPrec :: ReadPrec [Sum a] Source #
Read a => Read (ZipList a) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Functor.ZipList Methods readsPrec :: Int -> ReadS (ZipList a) Source # readList :: ReadS [ZipList a] Source # readPrec :: ReadPrec (ZipList a) Source # readListPrec :: ReadPrec [ZipList a] Source #
Read p => Read (Par1 p) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods readsPrec :: Int -> ReadS (Par1 p) Source # readList :: ReadS [Par1 p] Source # readPrec :: ReadPrec (Par1 p) Source # readListPrec :: ReadPrec [Par1 p] Source #
(Integral a, Read a) => Read (Ratio a) | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (Ratio a) Source # readList :: ReadS [Ratio a] Source # readPrec :: ReadPrec (Ratio a) Source # readListPrec :: ReadPrec [Ratio a] Source #
Read a => Read (Maybe a) | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (Maybe a) Source # readList :: ReadS [Maybe a] Source # readPrec :: ReadPrec (Maybe a) Source # readListPrec :: ReadPrec [Maybe a] Source #
Read a => Read (Solo a) | Since: base-4.15
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (Solo a) Source # readList :: ReadS [Solo a] Source # readPrec :: ReadPrec (Solo a) Source # readListPrec :: ReadPrec [Solo a] Source #
Read a => Read [a] | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS [a] Source # readList :: ReadS [[a]] Source # readPrec :: ReadPrec [a] Source # readListPrec :: ReadPrec [[a]] Source #
HasResolution a => Read (Fixed a) | Since: base-4.3.0.0
Instance details Defined in Data.Fixed Methods readsPrec :: Int -> ReadS (Fixed a) Source # readList :: ReadS [Fixed a] Source # readPrec :: ReadPrec (Fixed a) Source # readListPrec :: ReadPrec [Fixed a] Source #
(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) Source # readList :: ReadS [Arg a b] Source # readPrec :: ReadPrec (Arg a b) Source # readListPrec :: ReadPrec [Arg a b] Source #
(Ix a, Read a, Read b) => Read (Array a b) | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (Array a b) Source # readList :: ReadS [Array a b] Source # readPrec :: ReadPrec (Array a b) Source # readListPrec :: ReadPrec [Array a b] Source #
(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) Source # readList :: ReadS [Either a b] Source # readPrec :: ReadPrec (Either a b) Source # readListPrec :: ReadPrec [Either a b] Source #
Read (Proxy t) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Proxy Methods readsPrec :: Int -> ReadS (Proxy t) Source # readList :: ReadS [Proxy t] Source # readPrec :: ReadPrec (Proxy t) Source # readListPrec :: ReadPrec [Proxy t] Source #
Read (U1 p) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods readsPrec :: Int -> ReadS (U1 p) Source # readList :: ReadS [U1 p] Source # readPrec :: ReadPrec (U1 p) Source # readListPrec :: ReadPrec [U1 p] Source #
Read (V1 p) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods readsPrec :: Int -> ReadS (V1 p) Source # readList :: ReadS [V1 p] Source # readPrec :: ReadPrec (V1 p) Source # readListPrec :: ReadPrec [V1 p] Source #
(Read a, Read b) => Read (a, b) | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (a, b) Source # readList :: ReadS [(a, b)] Source # readPrec :: ReadPrec (a, b) Source # readListPrec :: ReadPrec [(a, b)] Source #
Read a => Read (Const a b) | This instance would be equivalent to the derived instances of the `Const` newtype if the `getConst` field were removed Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Functor.Const Methods readsPrec :: Int -> ReadS (Const a b) Source # readList :: ReadS [Const a b] Source # readPrec :: ReadPrec (Const a b) Source # readListPrec :: ReadPrec [Const a b] Source #
Read (f a) => Read (Ap f a) | Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Monoid Methods readsPrec :: Int -> ReadS (Ap f a) Source # readList :: ReadS [Ap f a] Source # readPrec :: ReadPrec (Ap f a) Source # readListPrec :: ReadPrec [Ap f a] Source #
Read (f a) => Read (Alt f a) | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods readsPrec :: Int -> ReadS (Alt f a) Source # readList :: ReadS [Alt f a] Source # readPrec :: ReadPrec (Alt f a) Source # readListPrec :: ReadPrec [Alt f a] Source #
a ~ b => Read (a :~: b) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Type.Equality Methods readsPrec :: Int -> ReadS (a :~: b) Source # readList :: ReadS [a :~: b] Source # readPrec :: ReadPrec (a :~: b) Source # readListPrec :: ReadPrec [a :~: b] Source #
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) Source # readList :: ReadS [Rec1 f p] Source # readPrec :: ReadPrec (Rec1 f p) Source # readListPrec :: ReadPrec [Rec1 f p] Source #
(Read a, Read b, Read c) => Read (a, b, c) | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (a, b, c) Source # readList :: ReadS [(a, b, c)] Source # readPrec :: ReadPrec (a, b, c) Source # readListPrec :: ReadPrec [(a, b, c)] Source #
(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) Source # readList :: ReadS [Product f g a] Source # readPrec :: ReadPrec (Product f g a) Source # readListPrec :: ReadPrec [Product f g a] Source #
(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) Source # readList :: ReadS [Sum f g a] Source # readPrec :: ReadPrec (Sum f g a) Source # readListPrec :: ReadPrec [Sum f g a] Source #
a ~~ b => Read (a :~~: b) | Since: base-4.10.0.0
Instance details Defined in GHC.Internal.Data.Type.Equality Methods readsPrec :: Int -> ReadS (a :~~: b) Source # readList :: ReadS [a :~~: b] Source # readPrec :: ReadPrec (a :~~: b) Source # readListPrec :: ReadPrec [a :~~: b] Source #
(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) Source # readList :: ReadS [(f :*: g) p] Source # readPrec :: ReadPrec ((f :*: g) p) Source # readListPrec :: ReadPrec [(f :*: g) p] Source #
(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) Source # readList :: ReadS [(f :+: g) p] Source # readPrec :: ReadPrec ((f :+: g) p) Source # readListPrec :: ReadPrec [(f :+: g) p] Source #
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) Source # readList :: ReadS [K1 i c p] Source # readPrec :: ReadPrec (K1 i c p) Source # readListPrec :: ReadPrec [K1 i c p] Source #
(Read a, Read b, Read c, Read d) => Read (a, b, c, d) | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (a, b, c, d) Source # readList :: ReadS [(a, b, c, d)] Source # readPrec :: ReadPrec (a, b, c, d) Source # readListPrec :: ReadPrec [(a, b, c, d)] Source #
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) Source # readList :: ReadS [Compose f g a] Source # readPrec :: ReadPrec (Compose f g a) Source # readListPrec :: ReadPrec [Compose f g a] Source #
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) Source # readList :: ReadS [(f :.: g) p] Source # readPrec :: ReadPrec ((f :.: g) p) Source # readListPrec :: ReadPrec [(f :.: g) p] Source #
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) Source # readList :: ReadS [M1 i c f p] Source # readPrec :: ReadPrec (M1 i c f p) Source # readListPrec :: ReadPrec [M1 i c f p] Source #
(Read a, Read b, Read c, Read d, Read e) => Read (a, b, c, d, e) | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e) Source # readList :: ReadS [(a, b, c, d, e)] Source # readPrec :: ReadPrec (a, b, c, d, e) Source # readListPrec :: ReadPrec [(a, b, c, d, e)] Source #
(Read a, Read b, Read c, Read d, Read e, Read f) => Read (a, b, c, d, e, f) | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f) Source # readList :: ReadS [(a, b, c, d, e, f)] Source # readPrec :: ReadPrec (a, b, c, d, e, f) Source # readListPrec :: ReadPrec [(a, b, c, d, e, f)] Source #
(Read a, Read b, Read c, Read d, Read e, Read f, Read g) => Read (a, b, c, d, e, f, g) | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f, g) Source # readList :: ReadS [(a, b, c, d, e, f, g)] Source # readPrec :: ReadPrec (a, b, c, d, e, f, g) Source # readListPrec :: ReadPrec [(a, b, c, d, e, f, g)] Source #
(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h) => Read (a, b, c, d, e, f, g, h) | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h) Source # readList :: ReadS [(a, b, c, d, e, f, g, h)] Source # readPrec :: ReadPrec (a, b, c, d, e, f, g, h) Source # readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h)] Source #
(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i) => Read (a, b, c, d, e, f, g, h, i) | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i) Source # readList :: ReadS [(a, b, c, d, e, f, g, h, i)] Source # readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i) Source # readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i)] Source #
(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j) => Read (a, b, c, d, e, f, g, h, i, j) | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j) Source # readList :: ReadS [(a, b, c, d, e, f, g, h, i, j)] Source # readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j) Source # readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j)] Source #
(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k) => Read (a, b, c, d, e, f, g, h, i, j, k) | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j, k) Source # readList :: ReadS [(a, b, c, d, e, f, g, h, i, j, k)] Source # readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j, k) Source # readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j, k)] Source #
(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k, Read l) => Read (a, b, c, d, e, f, g, h, i, j, k, l) | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j, k, l) Source # readList :: ReadS [(a, b, c, d, e, f, g, h, i, j, k, l)] Source # readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j, k, l) Source # readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j, k, l)] Source #
(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k, Read l, Read m) => Read (a, b, c, d, e, f, g, h, i, j, k, l, m) | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j, k, l, m) Source # readList :: ReadS [(a, b, c, d, e, f, g, h, i, j, k, l, m)] Source # readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j, k, l, m) Source # readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j, k, l, m)] Source #
(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k, Read l, Read m, Read n) => Read (a, b, c, d, e, f, g, h, i, j, k, l, m, n) | Since: base-2.1
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) Source # readList :: ReadS [(a, b, c, d, e, f, g, h, i, j, k, l, m, n)] Source # readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j, k, l, m, n) Source # readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j, k, l, m, n)] Source #
(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k, Read l, Read m, Read n, Read o) => Read (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) | Since: base-2.1
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) Source # readList :: ReadS [(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)] Source # readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) Source # readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)] Source #

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

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

Minimal complete definition

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

Methods

floatRadix :: a -> Integer Source #

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

floatDigits :: a -> Int Source #

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

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

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

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

The function `decodeFloat` applied to a real floating-point number returns the significand expressed as an `Integer` and an appropriately scaled exponent (an `Int`). If ``decodeFloat` x` 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 Source #

`encodeFloat` performs the inverse of `decodeFloat` in the sense that for finite `x` with the exception of `-0.0`, ``uncurry` `encodeFloat` (`decodeFloat` x) = x`. ``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 Source #

`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 Source #

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

scaleFloat :: Int -> a -> a Source #

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

isNaN :: a -> Bool Source #

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

isInfinite :: a -> Bool Source #

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

isDenormalized :: a -> Bool Source #

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

isNegativeZero :: a -> Bool Source #

`True` if the argument is an IEEE negative zero

isIEEE :: a -> Bool Source #

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

atan2 :: a -> a -> a Source #

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 Double | Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

floatRadix :: Double -> Integer Source #

floatDigits :: Double -> Int Source #

floatRange :: Double -> (Int, Int) Source #

decodeFloat :: Double -> (Integer, Int) Source #

encodeFloat :: Integer -> Int -> Double Source #

exponent :: Double -> Int Source #

significand :: Double -> Double Source #

scaleFloat :: Int -> Double -> Double Source #

isNaN :: Double -> Bool Source #

isInfinite :: Double -> Bool Source #

isDenormalized :: Double -> Bool Source #

isNegativeZero :: Double -> Bool Source #

isIEEE :: Double -> Bool Source #

atan2 :: Double -> Double -> Double Source #

RealFloat Float | Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

floatRadix :: Float -> Integer Source #

floatDigits :: Float -> Int Source #

floatRange :: Float -> (Int, Int) Source #

decodeFloat :: Float -> (Integer, Int) Source #

encodeFloat :: Integer -> Int -> Float Source #

exponent :: Float -> Int Source #

significand :: Float -> Float Source #

scaleFloat :: Int -> Float -> Float Source #

isNaN :: Float -> Bool Source #

isInfinite :: Float -> Bool Source #

isDenormalized :: Float -> Bool Source #

isNegativeZero :: Float -> Bool Source #

isIEEE :: Float -> Bool Source #

atan2 :: Float -> Float -> Float Source #

RealFloat a => RealFloat (Identity a) | Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Data.Functor.Identity

Methods

floatRadix :: Identity a -> Integer Source #

floatDigits :: Identity a -> Int Source #

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

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

encodeFloat :: Integer -> Int -> Identity a Source #

exponent :: Identity a -> Int Source #

significand :: Identity a -> Identity a Source #

scaleFloat :: Int -> Identity a -> Identity a Source #

isNaN :: Identity a -> Bool Source #

isInfinite :: Identity a -> Bool Source #

isDenormalized :: Identity a -> Bool Source #

isNegativeZero :: Identity a -> Bool Source #

isIEEE :: Identity a -> Bool Source #

atan2 :: Identity a -> Identity a -> Identity a Source #

RealFloat a => RealFloat (Down a) | Since: base-4.14.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

floatRadix :: Down a -> Integer Source #

floatDigits :: Down a -> Int Source #

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

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

encodeFloat :: Integer -> Int -> Down a Source #

exponent :: Down a -> Int Source #

significand :: Down a -> Down a Source #

scaleFloat :: Int -> Down a -> Down a Source #

isNaN :: Down a -> Bool Source #

isInfinite :: Down a -> Bool Source #

isDenormalized :: Down a -> Bool Source #

isNegativeZero :: Down a -> Bool Source #

isIEEE :: Down a -> Bool Source #

atan2 :: Down a -> Down a -> Down a Source #

RealFloat a => RealFloat (Const a b) | Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Data.Functor.Const

Methods

floatRadix :: Const a b -> Integer Source #

floatDigits :: Const a b -> Int Source #

floatRange :: Const a b -> (Int, Int) Source #

decodeFloat :: Const a b -> (Integer, Int) Source #

encodeFloat :: Integer -> Int -> Const a b Source #

exponent :: Const a b -> Int Source #

significand :: Const a b -> Const a b Source #

scaleFloat :: Int -> Const a b -> Const a b Source #

isNaN :: Const a b -> Bool Source #

isInfinite :: Const a b -> Bool Source #

isDenormalized :: Const a b -> Bool Source #

isNegativeZero :: Const a b -> Bool Source #

isIEEE :: Const a b -> Bool Source #

atan2 :: Const a b -> Const a b -> Const a b Source #

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 Source #

floatDigits :: Compose f g a -> Int Source #

floatRange :: Compose f g a -> (Int, Int) Source #

decodeFloat :: Compose f g a -> (Integer, Int) Source #

encodeFloat :: Integer -> Int -> Compose f g a Source #

exponent :: Compose f g a -> Int Source #

significand :: Compose f g a -> Compose f g a Source #

scaleFloat :: Int -> Compose f g a -> Compose f g a Source #

isNaN :: Compose f g a -> Bool Source #

isInfinite :: Compose f g a -> Bool Source #

isDenormalized :: Compose f g a -> Bool Source #

isNegativeZero :: Compose f g a -> Bool Source #

isIEEE :: Compose f g a -> Bool Source #

atan2 :: Compose f g a -> Compose f g a -> Compose f g a Source #

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

Extracting components of fractions.

Minimal complete definition

properFraction

Methods

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

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

- `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 Source #

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

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

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

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

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

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

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

#### Instances

Instances details

RealFrac Double

Beware that results for non-finite arguments are garbage:

    >>> [ f x | f <- [round, floor, ceiling], x <- [-1/0, 0/0, 1/0] ] :: [Int]
    [0,0,0,0,0,0,0,0,0]
    >>> map properFraction [-1/0, 0/0, 1/0] :: [(Int, Double)]
    [(0,0.0),(0,0.0),(0,0.0)]

and get even more non-sensical if you ask for `Integer` instead of `Int`.

Since: base-2.1

Instance details Defined in GHC.Internal.Float Methods properFraction :: Integral b => Double -> (b, Double) Source # truncate :: Integral b => Double -> b Source # round :: Integral b => Double -> b Source # ceiling :: Integral b => Double -> b Source # floor :: Integral b => Double -> b Source #

RealFrac Float

Beware that results for non-finite arguments are garbage:

    >>> [ f x | f <- [round, floor, ceiling], x <- [-1/0, 0/0, 1/0 :: Float] ] :: [Int]
    [0,0,0,0,0,0,0,0,0]
    >>> map properFraction [-1/0, 0/0, 1/0] :: [(Int, Float)]
    [(0,0.0),(0,0.0),(0,0.0)]

and get even more non-sensical if you ask for `Integer` instead of `Int`.

Since: base-2.1

Instance details Defined in GHC.Internal.Float Methods properFraction :: Integral b => Float -> (b, Float) Source # truncate :: Integral b => Float -> b Source # round :: Integral b => Float -> b Source # ceiling :: Integral b => Float -> b Source # floor :: Integral b => Float -> b Source #
RealFrac a => RealFrac (Identity a) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Functor.Identity Methods properFraction :: Integral b => Identity a -> (b, Identity a) Source # truncate :: Integral b => Identity a -> b Source # round :: Integral b => Identity a -> b Source # ceiling :: Integral b => Identity a -> b Source # floor :: Integral b => Identity a -> b Source #
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) Source # truncate :: Integral b => Down a -> b Source # round :: Integral b => Down a -> b Source # ceiling :: Integral b => Down a -> b Source # floor :: Integral b => Down a -> b Source #
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) Source # truncate :: Integral b => Ratio a -> b Source # round :: Integral b => Ratio a -> b Source # ceiling :: Integral b => Ratio a -> b Source # floor :: Integral b => Ratio a -> b Source #
HasResolution a => RealFrac (Fixed a) | Since: base-2.1
Instance details Defined in Data.Fixed Methods properFraction :: Integral b => Fixed a -> (b, Fixed a) Source # truncate :: Integral b => Fixed a -> b Source # round :: Integral b => Fixed a -> b Source # ceiling :: Integral b => Fixed a -> b Source # floor :: Integral b => Fixed a -> b Source #
RealFrac a => RealFrac (Const a b) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Functor.Const Methods properFraction :: Integral b0 => Const a b -> (b0, Const a b) Source # truncate :: Integral b0 => Const a b -> b0 Source # round :: Integral b0 => Const a b -> b0 Source # ceiling :: Integral b0 => Const a b -> b0 Source # floor :: Integral b0 => Const a b -> b0 Source #
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) Source # truncate :: Integral b => Compose f g a -> b Source # round :: Integral b => Compose f g a -> b Source # ceiling :: Integral b => Compose f g a -> b Source # floor :: Integral b => Compose f g a -> b Source #

class Show a where Source #

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

Methods

showsPrec Source #

Arguments

:: Int | the operator precedence of the enclosing context (a number from `0` to `11`). Function application has precedence `10`.
-> a | the value to be converted to a `String`
-> ShowS |

Convert a value to a readable `String`.

`showsPrec` should satisfy the law

    showsPrec d x r ++ s  ==  showsPrec d x (r ++ s)

Derived instances of `Read` and `Show` satisfy the following:

- `(x,"")` is an element of `(`readsPrec` d (`showsPrec` d x ""))`.

That is, `readsPrec` parses the string produced by `showsPrec`, and delivers the value that `showsPrec` started with.

show :: a -> String Source #

A specialised variant of `showsPrec`, using precedence context zero, and returning an ordinary `String`.

showList :: [a] -> ShowS Source #

The method `showList` is provided to allow the programmer to give a specialised way of showing lists of values. For example, this is used by the predefined `Show` instance of the `Char` type, where values of type `String` should be shown in double quotes, rather than between square brackets.

#### Instances

Instances details

Show ByteArray | Since: base-4.17.0.0
Instance details Defined in Data.Array.Byte Methods showsPrec :: Int -> ByteArray -> ShowS Source # show :: ByteArray -> String Source # showList :: [ByteArray] -> ShowS Source #
Show Timeout | Since: base-4.0
Instance details Defined in System.Timeout Methods showsPrec :: Int -> Timeout -> ShowS Source # show :: Timeout -> String Source # showList :: [Timeout] -> ShowS Source #
Show Void | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Void -> ShowS Source # show :: Void -> String Source # showList :: [Void] -> ShowS Source #
Show BlockReason | Since: base-4.3.0.0
Instance details Defined in GHC.Internal.Conc.Sync Methods showsPrec :: Int -> BlockReason -> ShowS Source # show :: BlockReason -> String Source # showList :: [BlockReason] -> ShowS Source #
Show ThreadId | Since: base-4.2.0.0
Instance details Defined in GHC.Internal.Conc.Sync Methods showsPrec :: Int -> ThreadId -> ShowS Source # show :: ThreadId -> String Source # showList :: [ThreadId] -> ShowS Source #
Show ThreadStatus | Since: base-4.3.0.0
Instance details Defined in GHC.Internal.Conc.Sync Methods showsPrec :: Int -> ThreadStatus -> ShowS Source # show :: ThreadStatus -> String Source # showList :: [ThreadStatus] -> ShowS Source #
Show NestedAtomically | Since: base-4.0
Instance details Defined in GHC.Internal.Control.Exception.Base Methods showsPrec :: Int -> NestedAtomically -> ShowS Source # show :: NestedAtomically -> String Source # showList :: [NestedAtomically] -> ShowS Source #
Show NoMatchingContinuationPrompt | Since: base-4.18
Instance details Defined in GHC.Internal.Control.Exception.Base Methods showsPrec :: Int -> NoMatchingContinuationPrompt -> ShowS Source # show :: NoMatchingContinuationPrompt -> String Source # showList :: [NoMatchingContinuationPrompt] -> ShowS Source #
Show NoMethodError | Since: base-4.0
Instance details Defined in GHC.Internal.Control.Exception.Base Methods showsPrec :: Int -> NoMethodError -> ShowS Source # show :: NoMethodError -> String Source # showList :: [NoMethodError] -> ShowS Source #
Show NonTermination | Since: base-4.0
Instance details Defined in GHC.Internal.Control.Exception.Base Methods showsPrec :: Int -> NonTermination -> ShowS Source # show :: NonTermination -> String Source # showList :: [NonTermination] -> ShowS Source #
Show PatternMatchFail | Since: base-4.0
Instance details Defined in GHC.Internal.Control.Exception.Base Methods showsPrec :: Int -> PatternMatchFail -> ShowS Source # show :: PatternMatchFail -> String Source # showList :: [PatternMatchFail] -> ShowS Source #
Show RecConError | Since: base-4.0
Instance details Defined in GHC.Internal.Control.Exception.Base Methods showsPrec :: Int -> RecConError -> ShowS Source # show :: RecConError -> String Source # showList :: [RecConError] -> ShowS Source #
Show RecSelError | Since: base-4.0
Instance details Defined in GHC.Internal.Control.Exception.Base Methods showsPrec :: Int -> RecSelError -> ShowS Source # show :: RecSelError -> String Source # showList :: [RecSelError] -> ShowS Source #
Show RecUpdError | Since: base-4.0
Instance details Defined in GHC.Internal.Control.Exception.Base Methods showsPrec :: Int -> RecUpdError -> ShowS Source # show :: RecUpdError -> String Source # showList :: [RecUpdError] -> ShowS Source #
Show TypeError | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Control.Exception.Base Methods showsPrec :: Int -> TypeError -> ShowS Source # show :: TypeError -> String Source # showList :: [TypeError] -> ShowS Source #
Show Constr | Since: base-4.0.0.0
Instance details Defined in GHC.Internal.Data.Data Methods showsPrec :: Int -> Constr -> ShowS Source # show :: Constr -> String Source # showList :: [Constr] -> ShowS Source #
Show ConstrRep | Since: base-4.0.0.0
Instance details Defined in GHC.Internal.Data.Data Methods showsPrec :: Int -> ConstrRep -> ShowS Source # show :: ConstrRep -> String Source # showList :: [ConstrRep] -> ShowS Source #
Show DataRep | Since: base-4.0.0.0
Instance details Defined in GHC.Internal.Data.Data Methods showsPrec :: Int -> DataRep -> ShowS Source # show :: DataRep -> String Source # showList :: [DataRep] -> ShowS Source #
Show DataType | Since: base-4.0.0.0
Instance details Defined in GHC.Internal.Data.Data Methods showsPrec :: Int -> DataType -> ShowS Source # show :: DataType -> String Source # showList :: [DataType] -> ShowS Source #
Show Fixity | Since: base-4.0.0.0
Instance details Defined in GHC.Internal.Data.Data Methods showsPrec :: Int -> Fixity -> ShowS Source # show :: Fixity -> String Source # showList :: [Fixity] -> ShowS Source #
Show Dynamic | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Dynamic Methods showsPrec :: Int -> Dynamic -> ShowS Source # show :: Dynamic -> String Source # showList :: [Dynamic] -> ShowS Source #
Show All | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods showsPrec :: Int -> All -> ShowS Source # show :: All -> String Source # showList :: [All] -> ShowS Source #
Show Any | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods showsPrec :: Int -> Any -> ShowS Source # show :: Any -> String Source # showList :: [Any] -> ShowS Source #
Show SomeTypeRep | Since: base-4.10.0.0
Instance details Defined in GHC.Internal.Data.Typeable.Internal Methods showsPrec :: Int -> SomeTypeRep -> ShowS Source # show :: SomeTypeRep -> String Source # showList :: [SomeTypeRep] -> ShowS Source #
Show Version | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Version Methods showsPrec :: Int -> Version -> ShowS Source # show :: Version -> String Source # showList :: [Version] -> ShowS Source #
Show ErrorCall | Since: base-4.0.0.0
Instance details Defined in GHC.Internal.Exception Methods showsPrec :: Int -> ErrorCall -> ShowS Source # show :: ErrorCall -> String Source # showList :: [ErrorCall] -> ShowS Source #
Show ArithException | Since: base-4.0.0.0
Instance details Defined in GHC.Internal.Exception.Type Methods showsPrec :: Int -> ArithException -> ShowS Source # show :: ArithException -> String Source # showList :: [ArithException] -> ShowS Source #
Show SomeException | Since: ghc-internal-3.0
Instance details Defined in GHC.Internal.Exception.Type Methods showsPrec :: Int -> SomeException -> ShowS Source # show :: SomeException -> String Source # showList :: [SomeException] -> ShowS Source #
Show IntPtr |
Instance details Defined in GHC.Internal.Foreign.Ptr Methods showsPrec :: Int -> IntPtr -> ShowS Source # show :: IntPtr -> String Source # showList :: [IntPtr] -> ShowS Source #
Show WordPtr |
Instance details Defined in GHC.Internal.Foreign.Ptr Methods showsPrec :: Int -> WordPtr -> ShowS Source # show :: WordPtr -> String Source # showList :: [WordPtr] -> ShowS Source #
Show Associativity | Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> Associativity -> ShowS Source # show :: Associativity -> String Source # showList :: [Associativity] -> ShowS Source #
Show DecidedStrictness | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> DecidedStrictness -> ShowS Source # show :: DecidedStrictness -> String Source # showList :: [DecidedStrictness] -> ShowS Source #
Show Fixity | Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> Fixity -> ShowS Source # show :: Fixity -> String Source # showList :: [Fixity] -> ShowS Source #
Show SourceStrictness | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> SourceStrictness -> ShowS Source # show :: SourceStrictness -> String Source # showList :: [SourceStrictness] -> ShowS Source #
Show SourceUnpackedness | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> SourceUnpackedness -> ShowS Source # show :: SourceUnpackedness -> String Source # showList :: [SourceUnpackedness] -> ShowS Source #
Show MaskingState | Since: base-4.3.0.0
Instance details Defined in GHC.Internal.IO Methods showsPrec :: Int -> MaskingState -> ShowS Source # show :: MaskingState -> String Source # showList :: [MaskingState] -> ShowS Source #
Show SeekMode | Since: base-4.2.0.0
Instance details Defined in GHC.Internal.IO.Device Methods showsPrec :: Int -> SeekMode -> ShowS Source # show :: SeekMode -> String Source # showList :: [SeekMode] -> ShowS Source #
Show CodingProgress | Since: base-4.4.0.0
Instance details Defined in GHC.Internal.IO.Encoding.Types Methods showsPrec :: Int -> CodingProgress -> ShowS Source # show :: CodingProgress -> String Source # showList :: [CodingProgress] -> ShowS Source #
Show TextEncoding | Since: base-4.3.0.0
Instance details Defined in GHC.Internal.IO.Encoding.Types Methods showsPrec :: Int -> TextEncoding -> ShowS Source # show :: TextEncoding -> String Source # showList :: [TextEncoding] -> ShowS Source #
Show AllocationLimitExceeded | Since: base-4.7.1.0
Instance details Defined in GHC.Internal.IO.Exception Methods showsPrec :: Int -> AllocationLimitExceeded -> ShowS Source # show :: AllocationLimitExceeded -> String Source # showList :: [AllocationLimitExceeded] -> ShowS Source #
Show ArrayException | Since: base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods showsPrec :: Int -> ArrayException -> ShowS Source # show :: ArrayException -> String Source # showList :: [ArrayException] -> ShowS Source #
Show AssertionFailed | Since: base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods showsPrec :: Int -> AssertionFailed -> ShowS Source # show :: AssertionFailed -> String Source # showList :: [AssertionFailed] -> ShowS Source #
Show AsyncException | Since: base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods showsPrec :: Int -> AsyncException -> ShowS Source # show :: AsyncException -> String Source # showList :: [AsyncException] -> ShowS Source #
Show BlockedIndefinitelyOnMVar | Since: base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods showsPrec :: Int -> BlockedIndefinitelyOnMVar -> ShowS Source # show :: BlockedIndefinitelyOnMVar -> String Source # showList :: [BlockedIndefinitelyOnMVar] -> ShowS Source #
Show BlockedIndefinitelyOnSTM | Since: base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods showsPrec :: Int -> BlockedIndefinitelyOnSTM -> ShowS Source # show :: BlockedIndefinitelyOnSTM -> String Source # showList :: [BlockedIndefinitelyOnSTM] -> ShowS Source #
Show CompactionFailed | Since: base-4.10.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods showsPrec :: Int -> CompactionFailed -> ShowS Source # show :: CompactionFailed -> String Source # showList :: [CompactionFailed] -> ShowS Source #
Show Deadlock | Since: base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods showsPrec :: Int -> Deadlock -> ShowS Source # show :: Deadlock -> String Source # showList :: [Deadlock] -> ShowS Source #
Show ExitCode |
Instance details Defined in GHC.Internal.IO.Exception Methods showsPrec :: Int -> ExitCode -> ShowS Source # show :: ExitCode -> String Source # showList :: [ExitCode] -> ShowS Source #
Show FixIOException | Since: base-4.11.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods showsPrec :: Int -> FixIOException -> ShowS Source # show :: FixIOException -> String Source # showList :: [FixIOException] -> ShowS Source #
Show IOErrorType | Since: base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods showsPrec :: Int -> IOErrorType -> ShowS Source # show :: IOErrorType -> String Source # showList :: [IOErrorType] -> ShowS Source #
Show IOException | Since: base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods showsPrec :: Int -> IOException -> ShowS Source # show :: IOException -> String Source # showList :: [IOException] -> ShowS Source #
Show SomeAsyncException | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods showsPrec :: Int -> SomeAsyncException -> ShowS Source # show :: SomeAsyncException -> String Source # showList :: [SomeAsyncException] -> ShowS Source #
Show HandlePosn | Since: base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Handle Methods showsPrec :: Int -> HandlePosn -> ShowS Source # show :: HandlePosn -> String Source # showList :: [HandlePosn] -> ShowS Source #
Show BufferMode | Since: base-4.2.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods showsPrec :: Int -> BufferMode -> ShowS Source # show :: BufferMode -> String Source # showList :: [BufferMode] -> ShowS Source #
Show Handle | Since: base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods showsPrec :: Int -> Handle -> ShowS Source # show :: Handle -> String Source # showList :: [Handle] -> ShowS Source #
Show HandleType | Since: base-4.1.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods showsPrec :: Int -> HandleType -> ShowS Source # show :: HandleType -> String Source # showList :: [HandleType] -> ShowS Source #
Show Newline | Since: base-4.3.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods showsPrec :: Int -> Newline -> ShowS Source # show :: Newline -> String Source # showList :: [Newline] -> ShowS Source #
Show NewlineMode | Since: base-4.3.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods showsPrec :: Int -> NewlineMode -> ShowS Source # show :: NewlineMode -> String Source # showList :: [NewlineMode] -> ShowS Source #
Show IOMode | Since: base-4.2.0.0
Instance details Defined in GHC.Internal.IO.IOMode Methods showsPrec :: Int -> IOMode -> ShowS Source # show :: IOMode -> String Source # showList :: [IOMode] -> ShowS Source #
Show Int16 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods showsPrec :: Int -> Int16 -> ShowS Source # show :: Int16 -> String Source # showList :: [Int16] -> ShowS Source #
Show Int32 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods showsPrec :: Int -> Int32 -> ShowS Source # show :: Int32 -> String Source # showList :: [Int32] -> ShowS Source #
Show Int64 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods showsPrec :: Int -> Int64 -> ShowS Source # show :: Int64 -> String Source # showList :: [Int64] -> ShowS Source #
Show Int8 | Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods showsPrec :: Int -> Int8 -> ShowS Source # show :: Int8 -> String Source # showList :: [Int8] -> ShowS Source #
Show FractionalExponentBase |
Instance details Defined in GHC.Internal.Real Methods showsPrec :: Int -> FractionalExponentBase -> ShowS Source # show :: FractionalExponentBase -> String Source # showList :: [FractionalExponentBase] -> ShowS Source #
Show CallStack | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> CallStack -> ShowS Source # show :: CallStack -> String Source # showList :: [CallStack] -> ShowS Source #
Show SrcLoc | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> SrcLoc -> ShowS Source # show :: SrcLoc -> String Source # showList :: [SrcLoc] -> ShowS Source #
Show CBlkCnt |
Instance details Defined in GHC.Internal.System.Posix.Types Methods showsPrec :: Int -> CBlkCnt -> ShowS Source # show :: CBlkCnt -> String Source # showList :: [CBlkCnt] -> ShowS Source #
Show CBlkSize |
Instance details Defined in GHC.Internal.System.Posix.Types Methods showsPrec :: Int -> CBlkSize -> ShowS Source # show :: CBlkSize -> String Source # showList :: [CBlkSize] -> ShowS Source #
Show CCc |
Instance details Defined in GHC.Internal.System.Posix.Types Methods showsPrec :: Int -> CCc -> ShowS Source # show :: CCc -> String Source # showList :: [CCc] -> ShowS Source #
Show CClockId |
Instance details Defined in GHC.Internal.System.Posix.Types Methods showsPrec :: Int -> CClockId -> ShowS Source # show :: CClockId -> String Source # showList :: [CClockId] -> ShowS Source #
Show CDev |
Instance details Defined in GHC.Internal.System.Posix.Types Methods showsPrec :: Int -> CDev -> ShowS Source # show :: CDev -> String Source # showList :: [CDev] -> ShowS Source #
Show CFsBlkCnt |
Instance details Defined in GHC.Internal.System.Posix.Types Methods showsPrec :: Int -> CFsBlkCnt -> ShowS Source # show :: CFsBlkCnt -> String Source # showList :: [CFsBlkCnt] -> ShowS Source #
Show CFsFilCnt |
Instance details Defined in GHC.Internal.System.Posix.Types Methods showsPrec :: Int -> CFsFilCnt -> ShowS Source # show :: CFsFilCnt -> String Source # showList :: [CFsFilCnt] -> ShowS Source #
Show CGid |
Instance details Defined in GHC.Internal.System.Posix.Types Methods showsPrec :: Int -> CGid -> ShowS Source # show :: CGid -> String Source # showList :: [CGid] -> ShowS Source #
Show CId |
Instance details Defined in GHC.Internal.System.Posix.Types Methods showsPrec :: Int -> CId -> ShowS Source # show :: CId -> String Source # showList :: [CId] -> ShowS Source #
Show CIno |
Instance details Defined in GHC.Internal.System.Posix.Types Methods showsPrec :: Int -> CIno -> ShowS Source # show :: CIno -> String Source # showList :: [CIno] -> ShowS Source #
Show CKey |
Instance details Defined in GHC.Internal.System.Posix.Types Methods showsPrec :: Int -> CKey -> ShowS Source # show :: CKey -> String Source # showList :: [CKey] -> ShowS Source #
Show CMode |
Instance details Defined in GHC.Internal.System.Posix.Types Methods showsPrec :: Int -> CMode -> ShowS Source # show :: CMode -> String Source # showList :: [CMode] -> ShowS Source #
Show CNfds |
Instance details Defined in GHC.Internal.System.Posix.Types Methods showsPrec :: Int -> CNfds -> ShowS Source # show :: CNfds -> String Source # showList :: [CNfds] -> ShowS Source #
Show CNlink |
Instance details Defined in GHC.Internal.System.Posix.Types Methods showsPrec :: Int -> CNlink -> ShowS Source # show :: CNlink -> String Source # showList :: [CNlink] -> ShowS Source #
Show COff |
Instance details Defined in GHC.Internal.System.Posix.Types Methods showsPrec :: Int -> COff -> ShowS Source # show :: COff -> String Source # showList :: [COff] -> ShowS Source #
Show CPid |
Instance details Defined in GHC.Internal.System.Posix.Types Methods showsPrec :: Int -> CPid -> ShowS Source # show :: CPid -> String Source # showList :: [CPid] -> ShowS Source #
Show CRLim |
Instance details Defined in GHC.Internal.System.Posix.Types Methods showsPrec :: Int -> CRLim -> ShowS Source # show :: CRLim -> String Source # showList :: [CRLim] -> ShowS Source #
Show CSocklen |
Instance details Defined in GHC.Internal.System.Posix.Types Methods showsPrec :: Int -> CSocklen -> ShowS Source # show :: CSocklen -> String Source # showList :: [CSocklen] -> ShowS Source #
Show CSpeed |
Instance details Defined in GHC.Internal.System.Posix.Types Methods showsPrec :: Int -> CSpeed -> ShowS Source # show :: CSpeed -> String Source # showList :: [CSpeed] -> ShowS Source #
Show CSsize |
Instance details Defined in GHC.Internal.System.Posix.Types Methods showsPrec :: Int -> CSsize -> ShowS Source # show :: CSsize -> String Source # showList :: [CSsize] -> ShowS Source #
Show CTcflag |
Instance details Defined in GHC.Internal.System.Posix.Types Methods showsPrec :: Int -> CTcflag -> ShowS Source # show :: CTcflag -> String Source # showList :: [CTcflag] -> ShowS Source #
Show CTimer |
Instance details Defined in GHC.Internal.System.Posix.Types Methods showsPrec :: Int -> CTimer -> ShowS Source # show :: CTimer -> String Source # showList :: [CTimer] -> ShowS Source #
Show CUid |
Instance details Defined in GHC.Internal.System.Posix.Types Methods showsPrec :: Int -> CUid -> ShowS Source # show :: CUid -> String Source # showList :: [CUid] -> ShowS Source #
Show Fd |
Instance details Defined in GHC.Internal.System.Posix.Types Methods showsPrec :: Int -> Fd -> ShowS Source # show :: Fd -> String Source # showList :: [Fd] -> ShowS Source #
Show GeneralCategory | Since: base-2.1
Instance details Defined in GHC.Internal.Unicode Methods showsPrec :: Int -> GeneralCategory -> ShowS Source # show :: GeneralCategory -> String Source # showList :: [GeneralCategory] -> ShowS Source #
Show Word16 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods showsPrec :: Int -> Word16 -> ShowS Source # show :: Word16 -> String Source # showList :: [Word16] -> ShowS Source #
Show Word32 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods showsPrec :: Int -> Word32 -> ShowS Source # show :: Word32 -> String Source # showList :: [Word32] -> ShowS Source #
Show Word64 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods showsPrec :: Int -> Word64 -> ShowS Source # show :: Word64 -> String Source # showList :: [Word64] -> ShowS Source #
Show Word8 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods showsPrec :: Int -> Word8 -> ShowS Source # show :: Word8 -> String Source # showList :: [Word8] -> ShowS Source #
Show KindRep |
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> KindRep -> ShowS Source # show :: KindRep -> String Source # showList :: [KindRep] -> ShowS Source #
Show Module | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Module -> ShowS Source # show :: Module -> String Source # showList :: [Module] -> ShowS Source #
Show Ordering | Since: base-2.1
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Ordering -> ShowS Source # show :: Ordering -> String Source # showList :: [Ordering] -> ShowS Source #
Show TrName | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> TrName -> ShowS Source # show :: TrName -> String Source # showList :: [TrName] -> ShowS Source #
Show TyCon | Since: base-2.1
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> TyCon -> ShowS Source # show :: TyCon -> String Source # showList :: [TyCon] -> ShowS Source #
Show TypeLitSort | Since: base-4.11.0.0
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> TypeLitSort -> ShowS Source # show :: TypeLitSort -> String Source # showList :: [TypeLitSort] -> ShowS Source #
Show Integer | Since: base-2.1
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Integer -> ShowS Source # show :: Integer -> String Source # showList :: [Integer] -> ShowS Source #
Show Natural | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Natural -> ShowS Source # show :: Natural -> String Source # showList :: [Natural] -> ShowS Source #
Show () | Since: base-2.1
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> () -> ShowS Source # show :: () -> String Source # showList :: [()] -> ShowS Source #
Show Bool | Since: base-2.1
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Bool -> ShowS Source # show :: Bool -> String Source # showList :: [Bool] -> ShowS Source #
Show Char | Since: base-2.1
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Char -> ShowS Source # show :: Char -> String Source # showList :: [Char] -> ShowS Source #
Show Double | Since: base-2.1
Instance details Defined in GHC.Internal.Float Methods showsPrec :: Int -> Double -> ShowS Source # show :: Double -> String Source # showList :: [Double] -> ShowS Source #
Show Float | Since: base-2.1
Instance details Defined in GHC.Internal.Float Methods showsPrec :: Int -> Float -> ShowS Source # show :: Float -> String Source # showList :: [Float] -> ShowS Source #
Show Int | Since: base-2.1
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Int -> ShowS Source # show :: Int -> String Source # showList :: [Int] -> ShowS Source #
Show Levity | Since: base-4.15.0.0
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Levity -> ShowS Source # show :: Levity -> String Source # showList :: [Levity] -> ShowS Source #
Show RuntimeRep | Since: base-4.11.0.0
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> RuntimeRep -> ShowS Source # show :: RuntimeRep -> String Source # showList :: [RuntimeRep] -> ShowS Source #
Show VecCount | Since: base-4.11.0.0
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> VecCount -> ShowS Source # show :: VecCount -> String Source # showList :: [VecCount] -> ShowS Source #
Show VecElem | Since: base-4.11.0.0
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> VecElem -> ShowS Source # show :: VecElem -> String Source # showList :: [VecElem] -> ShowS Source #
Show Word | Since: base-2.1
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Word -> ShowS Source # show :: Word -> String Source # showList :: [Word] -> ShowS Source #
Show a => Show (Complex a) | Since: base-2.1
Instance details Defined in Data.Complex Methods showsPrec :: Int -> Complex a -> ShowS Source # show :: Complex a -> String Source # showList :: [Complex a] -> ShowS Source #
Show a => Show (First a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods showsPrec :: Int -> First a -> ShowS Source # show :: First a -> String Source # showList :: [First a] -> ShowS Source #
Show a => Show (Last a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods showsPrec :: Int -> Last a -> ShowS Source # show :: Last a -> String Source # showList :: [Last a] -> ShowS Source #
Show a => Show (Max a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods showsPrec :: Int -> Max a -> ShowS Source # show :: Max a -> String Source # showList :: [Max a] -> ShowS Source #
Show a => Show (Min a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods showsPrec :: Int -> Min a -> ShowS Source # show :: Min a -> String Source # showList :: [Min a] -> ShowS Source #
Show m => Show (WrappedMonoid m) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods showsPrec :: Int -> WrappedMonoid m -> ShowS Source # show :: WrappedMonoid m -> String Source # showList :: [WrappedMonoid m] -> ShowS Source #
Show a => Show (NonEmpty a) | Since: base-4.11.0.0
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> NonEmpty a -> ShowS Source # show :: NonEmpty a -> String Source # showList :: [NonEmpty a] -> ShowS Source #
Show a => Show (And a) | Since: base-4.16
Instance details Defined in GHC.Internal.Data.Bits Methods showsPrec :: Int -> And a -> ShowS Source # show :: And a -> String Source # showList :: [And a] -> ShowS Source #
Show a => Show (Iff a) | Since: base-4.16
Instance details Defined in GHC.Internal.Data.Bits Methods showsPrec :: Int -> Iff a -> ShowS Source # show :: Iff a -> String Source # showList :: [Iff a] -> ShowS Source #
Show a => Show (Ior a) | Since: base-4.16
Instance details Defined in GHC.Internal.Data.Bits Methods showsPrec :: Int -> Ior a -> ShowS Source # show :: Ior a -> String Source # showList :: [Ior a] -> ShowS Source #
Show a => Show (Xor a) | Since: base-4.16
Instance details Defined in GHC.Internal.Data.Bits Methods showsPrec :: Int -> Xor a -> ShowS Source # show :: Xor a -> String Source # showList :: [Xor a] -> ShowS Source #
Show a => Show (Identity a) | This instance would be equivalent to the derived instances of the `Identity` newtype if the `runIdentity` field were removed Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Functor.Identity Methods showsPrec :: Int -> Identity a -> ShowS Source # show :: Identity a -> String Source # showList :: [Identity a] -> ShowS Source #
Show a => Show (First a) | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Monoid Methods showsPrec :: Int -> First a -> ShowS Source # show :: First a -> String Source # showList :: [First a] -> ShowS Source #
Show a => Show (Last a) | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Monoid Methods showsPrec :: Int -> Last a -> ShowS Source # show :: Last a -> String Source # showList :: [Last a] -> ShowS Source #
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 Source # show :: Down a -> String Source # showList :: [Down a] -> ShowS Source #
Show a => Show (Dual a) | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods showsPrec :: Int -> Dual a -> ShowS Source # show :: Dual a -> String Source # showList :: [Dual a] -> ShowS Source #
Show a => Show (Product a) | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods showsPrec :: Int -> Product a -> ShowS Source # show :: Product a -> String Source # showList :: [Product a] -> ShowS Source #
Show a => Show (Sum a) | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods showsPrec :: Int -> Sum a -> ShowS Source # show :: Sum a -> String Source # showList :: [Sum a] -> ShowS Source #
Show a => Show (ExceptionWithContext a) |
Instance details Defined in GHC.Internal.Exception.Type Methods showsPrec :: Int -> ExceptionWithContext a -> ShowS Source # show :: ExceptionWithContext a -> String Source # showList :: [ExceptionWithContext a] -> ShowS Source #
Show e => Show (NoBacktrace e) |
Instance details Defined in GHC.Internal.Exception.Type Methods showsPrec :: Int -> NoBacktrace e -> ShowS Source # show :: NoBacktrace e -> String Source # showList :: [NoBacktrace e] -> ShowS Source #
Show (ForeignPtr a) | Since: base-2.1
Instance details Defined in GHC.Internal.ForeignPtr Methods showsPrec :: Int -> ForeignPtr a -> ShowS Source # show :: ForeignPtr a -> String Source # showList :: [ForeignPtr a] -> ShowS Source #
Show a => Show (ZipList a) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Functor.ZipList Methods showsPrec :: Int -> ZipList a -> ShowS Source # show :: ZipList a -> String Source # showList :: [ZipList a] -> ShowS Source #
Show p => Show (Par1 p) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> Par1 p -> ShowS Source # show :: Par1 p -> String Source # showList :: [Par1 p] -> ShowS Source #
Show (FunPtr a) | Since: base-2.1
Instance details Defined in GHC.Internal.Ptr Methods showsPrec :: Int -> FunPtr a -> ShowS Source # show :: FunPtr a -> String Source # showList :: [FunPtr a] -> ShowS Source #
Show (Ptr a) | Since: base-2.1
Instance details Defined in GHC.Internal.Ptr Methods showsPrec :: Int -> Ptr a -> ShowS Source # show :: Ptr a -> String Source # showList :: [Ptr a] -> ShowS Source #
Show a => Show (Ratio a) | Since: base-2.0.1
Instance details Defined in GHC.Internal.Real Methods showsPrec :: Int -> Ratio a -> ShowS Source # show :: Ratio a -> String Source # showList :: [Ratio a] -> ShowS Source #
Show a => Show (Maybe a) | Since: base-2.1
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Maybe a -> ShowS Source # show :: Maybe a -> String Source # showList :: [Maybe a] -> ShowS Source #
Show a => Show (Solo a) | Since: base-4.15
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Solo a -> ShowS Source # show :: Solo a -> String Source # showList :: [Solo a] -> ShowS Source #
Show a => Show [a] | Since: base-2.1
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> [a] -> ShowS Source # show :: [a] -> String Source # showList :: [[a]] -> ShowS Source #
HasResolution a => Show (Fixed a) | Since: base-2.1
Instance details Defined in Data.Fixed Methods showsPrec :: Int -> Fixed a -> ShowS Source # show :: Fixed a -> String Source # showList :: [Fixed a] -> ShowS Source #
(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 Source # show :: Arg a b -> String Source # showList :: [Arg a b] -> ShowS Source #
(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 Source # show :: Either a b -> String Source # showList :: [Either a b] -> ShowS Source #
Show (Proxy s) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Proxy Methods showsPrec :: Int -> Proxy s -> ShowS Source # show :: Proxy s -> String Source # showList :: [Proxy s] -> ShowS Source #
Show (TypeRep a) |
Instance details Defined in GHC.Internal.Data.Typeable.Internal Methods showsPrec :: Int -> TypeRep a -> ShowS Source # show :: TypeRep a -> String Source # showList :: [TypeRep a] -> ShowS Source #
Show (U1 p) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> U1 p -> ShowS Source # show :: U1 p -> String Source # showList :: [U1 p] -> ShowS Source #
Show (V1 p) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> V1 p -> ShowS Source # show :: V1 p -> String Source # showList :: [V1 p] -> ShowS Source #
Show (ST s a) | Since: base-2.1
Instance details Defined in GHC.Internal.ST Methods showsPrec :: Int -> ST s a -> ShowS Source # show :: ST s a -> String Source # showList :: [ST s a] -> ShowS Source #
(Show a, Show b) => Show (a, b) | Since: base-2.1
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> (a, b) -> ShowS Source # show :: (a, b) -> String Source # showList :: [(a, b)] -> ShowS Source #
Show a => Show (Const a b) | This instance would be equivalent to the derived instances of the `Const` newtype if the `getConst` field were removed Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Functor.Const Methods showsPrec :: Int -> Const a b -> ShowS Source # show :: Const a b -> String Source # showList :: [Const a b] -> ShowS Source #
Show (f a) => Show (Ap f a) | Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Monoid Methods showsPrec :: Int -> Ap f a -> ShowS Source # show :: Ap f a -> String Source # showList :: [Ap f a] -> ShowS Source #
Show (f a) => Show (Alt f a) | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods showsPrec :: Int -> Alt f a -> ShowS Source # show :: Alt f a -> String Source # showList :: [Alt f a] -> ShowS Source #
Show (a :~: b) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Type.Equality Methods showsPrec :: Int -> (a :~: b) -> ShowS Source # show :: (a :~: b) -> String Source # showList :: [a :~: b] -> ShowS Source #
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 Source # show :: Rec1 f p -> String Source # showList :: [Rec1 f p] -> ShowS Source #
Show (URec Char p) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> URec Char p -> ShowS Source # show :: URec Char p -> String Source # showList :: [URec Char p] -> ShowS Source #
Show (URec Double p) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> URec Double p -> ShowS Source # show :: URec Double p -> String Source # showList :: [URec Double p] -> ShowS Source #
Show (URec Float p) |
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> URec Float p -> ShowS Source # show :: URec Float p -> String Source # showList :: [URec Float p] -> ShowS Source #
Show (URec Int p) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> URec Int p -> ShowS Source # show :: URec Int p -> String Source # showList :: [URec Int p] -> ShowS Source #
Show (URec Word p) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> URec Word p -> ShowS Source # show :: URec Word p -> String Source # showList :: [URec Word p] -> ShowS Source #
(Show a, Show b, Show c) => Show (a, b, c) | Since: base-2.1
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> (a, b, c) -> ShowS Source # show :: (a, b, c) -> String Source # showList :: [(a, b, c)] -> ShowS Source #
(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 Source # show :: Product f g a -> String Source # showList :: [Product f g a] -> ShowS Source #
(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 Source # show :: Sum f g a -> String Source # showList :: [Sum f g a] -> ShowS Source #
Show (a :~~: b) | Since: base-4.10.0.0
Instance details Defined in GHC.Internal.Data.Type.Equality Methods showsPrec :: Int -> (a :~~: b) -> ShowS Source # show :: (a :~~: b) -> String Source # showList :: [a :~~: b] -> ShowS Source #
(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 Source # show :: (f :*: g) p -> String Source # showList :: [(f :*: g) p] -> ShowS Source #
(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 Source # show :: (f :+: g) p -> String Source # showList :: [(f :+: g) p] -> ShowS Source #
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 Source # show :: K1 i c p -> String Source # showList :: [K1 i c p] -> ShowS Source #
(Show a, Show b, Show c, Show d) => Show (a, b, c, d) | Since: base-2.1
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> (a, b, c, d) -> ShowS Source # show :: (a, b, c, d) -> String Source # showList :: [(a, b, c, d)] -> ShowS Source #
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 Source # show :: Compose f g a -> String Source # showList :: [Compose f g a] -> ShowS Source #
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 Source # show :: (f :.: g) p -> String Source # showList :: [(f :.: g) p] -> ShowS Source #
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 Source # show :: M1 i c f p -> String Source # showList :: [M1 i c f p] -> ShowS Source #
(Show a, Show b, Show c, Show d, Show e) => Show (a, b, c, d, e) | Since: base-2.1
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> (a, b, c, d, e) -> ShowS Source # show :: (a, b, c, d, e) -> String Source # showList :: [(a, b, c, d, e)] -> ShowS Source #
(Show a, Show b, Show c, Show d, Show e, Show f) => Show (a, b, c, d, e, f) | Since: base-2.1
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> (a, b, c, d, e, f) -> ShowS Source # show :: (a, b, c, d, e, f) -> String Source # showList :: [(a, b, c, d, e, f)] -> ShowS Source #
(Show a, Show b, Show c, Show d, Show e, Show f, Show g) => Show (a, b, c, d, e, f, g) | Since: base-2.1
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> (a, b, c, d, e, f, g) -> ShowS Source # show :: (a, b, c, d, e, f, g) -> String Source # showList :: [(a, b, c, d, e, f, g)] -> ShowS Source #
(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h) => Show (a, b, c, d, e, f, g, h) | Since: base-2.1
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> (a, b, c, d, e, f, g, h) -> ShowS Source # show :: (a, b, c, d, e, f, g, h) -> String Source # showList :: [(a, b, c, d, e, f, g, h)] -> ShowS Source #
(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h, Show i) => Show (a, b, c, d, e, f, g, h, i) | Since: base-2.1
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> (a, b, c, d, e, f, g, h, i) -> ShowS Source # show :: (a, b, c, d, e, f, g, h, i) -> String Source # showList :: [(a, b, c, d, e, f, g, h, i)] -> ShowS Source #
(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h, Show i, Show j) => Show (a, b, c, d, e, f, g, h, i, j) | Since: base-2.1
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j) -> ShowS Source # show :: (a, b, c, d, e, f, g, h, i, j) -> String Source # showList :: [(a, b, c, d, e, f, g, h, i, j)] -> ShowS Source #
(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h, Show i, Show j, Show k) => Show (a, b, c, d, e, f, g, h, i, j, k) | Since: base-2.1
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j, k) -> ShowS Source # show :: (a, b, c, d, e, f, g, h, i, j, k) -> String Source # showList :: [(a, b, c, d, e, f, g, h, i, j, k)] -> ShowS Source #
(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h, Show i, Show j, Show k, Show l) => Show (a, b, c, d, e, f, g, h, i, j, k, l) | Since: base-2.1
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j, k, l) -> ShowS Source # show :: (a, b, c, d, e, f, g, h, i, j, k, l) -> String Source # showList :: [(a, b, c, d, e, f, g, h, i, j, k, l)] -> ShowS Source #
(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h, Show i, Show j, Show k, Show l, Show m) => Show (a, b, c, d, e, f, g, h, i, j, k, l, m) | Since: base-2.1
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> ShowS Source # show :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> String Source # showList :: [(a, b, c, d, e, f, g, h, i, j, k, l, m)] -> ShowS Source #
(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h, Show i, Show j, Show k, Show l, Show m, Show n) => Show (a, b, c, d, e, f, g, h, i, j, k, l, m, n) | Since: base-2.1
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> ShowS Source # show :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> String Source # showList :: [(a, b, c, d, e, f, g, h, i, j, k, l, m, n)] -> ShowS Source #
(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h, Show i, Show j, Show k, Show l, Show m, Show n, Show o) => Show (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) | Since: base-2.1
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> ShowS Source # show :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> String Source # showList :: [(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)] -> ShowS Source #

class Generic a Source #

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

A `Generic` instance must satisfy the following laws:

    from . to ≡ id
    to . from ≡ id

Minimal complete definition

from, to

#### Instances

Instances details

Generic Void |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep Void | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Generics type Rep Void = D1 ('MetaData "Void" "GHC.Internal.Base" "ghc-internal" 'False) (V1 :: Type -> Type)

Methods

from :: Void -> Rep Void x Source #

to :: Rep Void x -> Void Source #

Generic All |

Instance details

Defined in GHC.Internal.Data.Semigroup.Internal

Associated Types

type Rep All | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal type Rep All = D1 ('MetaData "All" "GHC.Internal.Data.Semigroup.Internal" "ghc-internal" 'True) (C1 ('MetaCons "All" 'PrefixI 'True) (S1 ('MetaSel ('Just "getAll") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Bool)))

Methods

from :: All -> Rep All x Source #

to :: Rep All x -> All Source #

Generic Any |

Instance details

Defined in GHC.Internal.Data.Semigroup.Internal

Associated Types

type Rep Any | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal type Rep Any = D1 ('MetaData "Any" "GHC.Internal.Data.Semigroup.Internal" "ghc-internal" 'True) (C1 ('MetaCons "Any" 'PrefixI 'True) (S1 ('MetaSel ('Just "getAny") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Bool)))

Methods

from :: Any -> Rep Any x Source #

to :: Rep Any x -> Any Source #

Generic Version |

Instance details

Defined in GHC.Internal.Data.Version

Associated Types

type Rep Version | Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Data.Version

type Rep Version = D1 ('MetaData "Version" "GHC.Internal.Data.Version" "ghc-internal" 'False) (C1 ('MetaCons "Version" 'PrefixI 'True) (S1 ('MetaSel ('Just "versionBranch") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 [Int]) :*: S1 ('MetaSel ('Just "versionTags") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 [String])))

Methods

from :: Version -> Rep Version x Source #

to :: Rep Version x -> Version Source #

Generic Fingerprint |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep Fingerprint | Since: base-4.15.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep Fingerprint = D1 ('MetaData "Fingerprint" "GHC.Internal.Fingerprint.Type" "ghc-internal" 'False) (C1 ('MetaCons "Fingerprint" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'SourceUnpack 'SourceStrict 'DecidedUnpack) (Rec0 Word64) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'SourceUnpack 'SourceStrict 'DecidedUnpack) (Rec0 Word64)))

Methods

from :: Fingerprint -> Rep Fingerprint x Source #

to :: Rep Fingerprint x -> Fingerprint Source #

Generic Associativity |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep Associativity | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Generics type Rep Associativity = D1 ('MetaData "Associativity" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "LeftAssociative" 'PrefixI 'False) (U1 :: Type -> Type) :+: (C1 ('MetaCons "RightAssociative" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "NotAssociative" 'PrefixI 'False) (U1 :: Type -> Type)))

Methods

from :: Associativity -> Rep Associativity x Source #

to :: Rep Associativity x -> Associativity Source #

Generic DecidedStrictness |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep DecidedStrictness | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep DecidedStrictness = D1 ('MetaData "DecidedStrictness" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "DecidedLazy" 'PrefixI 'False) (U1 :: Type -> Type) :+: (C1 ('MetaCons "DecidedStrict" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "DecidedUnpack" 'PrefixI 'False) (U1 :: Type -> Type)))

Methods

from :: DecidedStrictness -> Rep DecidedStrictness x Source #

to :: Rep DecidedStrictness x -> DecidedStrictness Source #

Generic Fixity |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep Fixity | Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep Fixity = D1 ('MetaData "Fixity" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "Prefix" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "Infix" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Associativity) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Int)))

Methods

from :: Fixity -> Rep Fixity x Source #

to :: Rep Fixity x -> Fixity Source #

Generic SourceStrictness |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep SourceStrictness | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep SourceStrictness = D1 ('MetaData "SourceStrictness" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "NoSourceStrictness" 'PrefixI 'False) (U1 :: Type -> Type) :+: (C1 ('MetaCons "SourceLazy" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "SourceStrict" 'PrefixI 'False) (U1 :: Type -> Type)))

Methods

from :: SourceStrictness -> Rep SourceStrictness x Source #

to :: Rep SourceStrictness x -> SourceStrictness Source #

Generic SourceUnpackedness |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep SourceUnpackedness | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep SourceUnpackedness = D1 ('MetaData "SourceUnpackedness" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "NoSourceUnpackedness" 'PrefixI 'False) (U1 :: Type -> Type) :+: (C1 ('MetaCons "SourceNoUnpack" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "SourceUnpack" 'PrefixI 'False) (U1 :: Type -> Type)))

Methods

from :: SourceUnpackedness -> Rep SourceUnpackedness x Source #

to :: Rep SourceUnpackedness x -> SourceUnpackedness Source #

Generic ExitCode |

Instance details

Defined in GHC.Internal.IO.Exception

Associated Types

type Rep ExitCode |
Instance details Defined in GHC.Internal.IO.Exception type Rep ExitCode = D1 ('MetaData "ExitCode" "GHC.Internal.IO.Exception" "ghc-internal" 'False) (C1 ('MetaCons "ExitSuccess" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "ExitFailure" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Int)))

Methods

from :: ExitCode -> Rep ExitCode x Source #

to :: Rep ExitCode x -> ExitCode Source #

Generic SrcLoc |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep SrcLoc | Since: base-4.15.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep SrcLoc = D1 ('MetaData "SrcLoc" "GHC.Internal.Stack.Types" "ghc-internal" 'False) (C1 ('MetaCons "SrcLoc" 'PrefixI 'True) ((S1 ('MetaSel ('Just "srcLocPackage") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 [Char]) :*: (S1 ('MetaSel ('Just "srcLocModule") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 [Char]) :*: S1 ('MetaSel ('Just "srcLocFile") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 [Char]))) :*: ((S1 ('MetaSel ('Just "srcLocStartLine") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Int) :*: S1 ('MetaSel ('Just "srcLocStartCol") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Int)) :*: (S1 ('MetaSel ('Just "srcLocEndLine") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Int) :*: S1 ('MetaSel ('Just "srcLocEndCol") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Int)))))

Methods

from :: SrcLoc -> Rep SrcLoc x Source #

to :: Rep SrcLoc x -> SrcLoc Source #

Generic GeneralCategory |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep GeneralCategory | Since: base-4.15.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep GeneralCategory = D1 ('MetaData "GeneralCategory" "GHC.Internal.Unicode" "ghc-internal" 'False) ((((C1 ('MetaCons "UppercaseLetter" 'PrefixI 'False) (U1 :: Type -> Type) :+: (C1 ('MetaCons "LowercaseLetter" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "TitlecaseLetter" 'PrefixI 'False) (U1 :: Type -> Type))) :+: ((C1 ('MetaCons "ModifierLetter" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "OtherLetter" 'PrefixI 'False) (U1 :: Type -> Type)) :+: (C1 ('MetaCons "NonSpacingMark" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "SpacingCombiningMark" 'PrefixI 'False) (U1 :: Type -> Type)))) :+: (((C1 ('MetaCons "EnclosingMark" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "DecimalNumber" 'PrefixI 'False) (U1 :: Type -> Type)) :+: (C1 ('MetaCons "LetterNumber" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "OtherNumber" 'PrefixI 'False) (U1 :: Type -> Type))) :+: ((C1 ('MetaCons "ConnectorPunctuation" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "DashPunctuation" 'PrefixI 'False) (U1 :: Type -> Type)) :+: (C1 ('MetaCons "OpenPunctuation" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "ClosePunctuation" 'PrefixI 'False) (U1 :: Type -> Type))))) :+: (((C1 ('MetaCons "InitialQuote" 'PrefixI 'False) (U1 :: Type -> Type) :+: (C1 ('MetaCons "FinalQuote" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "OtherPunctuation" 'PrefixI 'False) (U1 :: Type -> Type))) :+: ((C1 ('MetaCons "MathSymbol" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "CurrencySymbol" 'PrefixI 'False) (U1 :: Type -> Type)) :+: (C1 ('MetaCons "ModifierSymbol" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "OtherSymbol" 'PrefixI 'False) (U1 :: Type -> Type)))) :+: (((C1 ('MetaCons "Space" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "LineSeparator" 'PrefixI 'False) (U1 :: Type -> Type)) :+: (C1 ('MetaCons "ParagraphSeparator" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "Control" 'PrefixI 'False) (U1 :: Type -> Type))) :+: ((C1 ('MetaCons "Format" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "Surrogate" 'PrefixI 'False) (U1 :: Type -> Type)) :+: (C1 ('MetaCons "PrivateUse" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "NotAssigned" 'PrefixI 'False) (U1 :: Type -> Type))))))

Methods

from :: GeneralCategory -> Rep GeneralCategory x Source #

to :: Rep GeneralCategory x -> GeneralCategory Source #

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 Source #

to :: Rep Ordering x -> Ordering Source #

Generic () |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep () | Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Generics type Rep () = D1 ('MetaData "Unit" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "()" 'PrefixI 'False) (U1 :: Type -> Type))

Methods

from :: () -> Rep () x Source #

to :: Rep () x -> () Source #

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 Source #

to :: Rep Bool x -> Bool Source #

Generic (Complex a) |

Instance details

Defined in Data.Complex

Associated Types

type Rep (Complex a) | Since: base-4.9.0.0
Instance details Defined in Data.Complex type Rep (Complex a) = D1 ('MetaData "Complex" "Data.Complex" "base" 'False) (C1 ('MetaCons ":+" ('InfixI 'NotAssociative 6) 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a)))

Methods

from :: Complex a -> Rep (Complex a) x Source #

to :: Rep (Complex a) x -> Complex a Source #

Generic (First a) |

Instance details

Defined in Data.Semigroup

Associated Types

type Rep (First a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup type Rep (First a) = D1 ('MetaData "First" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "First" 'PrefixI 'True) (S1 ('MetaSel ('Just "getFirst") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

Methods

from :: First a -> Rep (First a) x Source #

to :: Rep (First a) x -> First a Source #

Generic (Last a) |

Instance details

Defined in Data.Semigroup

Associated Types

type Rep (Last a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup type Rep (Last a) = D1 ('MetaData "Last" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "Last" 'PrefixI 'True) (S1 ('MetaSel ('Just "getLast") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

Methods

from :: Last a -> Rep (Last a) x Source #

to :: Rep (Last a) x -> Last a Source #

Generic (Max a) |

Instance details

Defined in Data.Semigroup

Associated Types

type Rep (Max a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup type Rep (Max a) = D1 ('MetaData "Max" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "Max" 'PrefixI 'True) (S1 ('MetaSel ('Just "getMax") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

Methods

from :: Max a -> Rep (Max a) x Source #

to :: Rep (Max a) x -> Max a Source #

Generic (Min a) |

Instance details

Defined in Data.Semigroup

Associated Types

type Rep (Min a) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup type Rep (Min a) = D1 ('MetaData "Min" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "Min" 'PrefixI 'True) (S1 ('MetaSel ('Just "getMin") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

Methods

from :: Min a -> Rep (Min a) x Source #

to :: Rep (Min a) x -> Min a Source #

Generic (WrappedMonoid m) |

Instance details

Defined in Data.Semigroup

Associated Types

type Rep (WrappedMonoid m) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup type Rep (WrappedMonoid m) = D1 ('MetaData "WrappedMonoid" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "WrapMonoid" 'PrefixI 'True) (S1 ('MetaSel ('Just "unwrapMonoid") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 m)))

Methods

from :: WrappedMonoid m -> Rep (WrappedMonoid m) x Source #

to :: Rep (WrappedMonoid m) x -> WrappedMonoid m Source #

Generic (NonEmpty a) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (NonEmpty a) | Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep (NonEmpty a) = D1 ('MetaData "NonEmpty" "GHC.Internal.Base" "ghc-internal" 'False) (C1 ('MetaCons ":|" ('InfixI 'RightAssociative 5) 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 [a])))

Methods

from :: NonEmpty a -> Rep (NonEmpty a) x Source #

to :: Rep (NonEmpty a) x -> NonEmpty a Source #

Generic (Identity a) |

Instance details

Defined in GHC.Internal.Data.Functor.Identity

Associated Types

type Rep (Identity a) | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Functor.Identity type Rep (Identity a) = D1 ('MetaData "Identity" "GHC.Internal.Data.Functor.Identity" "ghc-internal" 'True) (C1 ('MetaCons "Identity" 'PrefixI 'True) (S1 ('MetaSel ('Just "runIdentity") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

Methods

from :: Identity a -> Rep (Identity a) x Source #

to :: Rep (Identity a) x -> Identity a Source #

Generic (First a) |

Instance details

Defined in GHC.Internal.Data.Monoid

Associated Types

type Rep (First a) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Monoid type Rep (First a) = D1 ('MetaData "First" "GHC.Internal.Data.Monoid" "ghc-internal" 'True) (C1 ('MetaCons "First" 'PrefixI 'True) (S1 ('MetaSel ('Just "getFirst") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (Maybe a))))

Methods

from :: First a -> Rep (First a) x Source #

to :: Rep (First a) x -> First a Source #

Generic (Last a) |

Instance details

Defined in GHC.Internal.Data.Monoid

Associated Types

type Rep (Last a) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Monoid type Rep (Last a) = D1 ('MetaData "Last" "GHC.Internal.Data.Monoid" "ghc-internal" 'True) (C1 ('MetaCons "Last" 'PrefixI 'True) (S1 ('MetaSel ('Just "getLast") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (Maybe a))))

Methods

from :: Last a -> Rep (Last a) x Source #

to :: Rep (Last a) x -> Last a Source #

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 Source #

to :: Rep (Down a) x -> Down a Source #

Generic (Dual a) |

Instance details

Defined in GHC.Internal.Data.Semigroup.Internal

Associated Types

type Rep (Dual a) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal type Rep (Dual a) = D1 ('MetaData "Dual" "GHC.Internal.Data.Semigroup.Internal" "ghc-internal" 'True) (C1 ('MetaCons "Dual" 'PrefixI 'True) (S1 ('MetaSel ('Just "getDual") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

Methods

from :: Dual a -> Rep (Dual a) x Source #

to :: Rep (Dual a) x -> Dual a Source #

Generic (Endo a) |

Instance details

Defined in GHC.Internal.Data.Semigroup.Internal

Associated Types

type Rep (Endo a) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal type Rep (Endo a) = D1 ('MetaData "Endo" "GHC.Internal.Data.Semigroup.Internal" "ghc-internal" 'True) (C1 ('MetaCons "Endo" 'PrefixI 'True) (S1 ('MetaSel ('Just "appEndo") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (a -> a))))

Methods

from :: Endo a -> Rep (Endo a) x Source #

to :: Rep (Endo a) x -> Endo a Source #

Generic (Product a) |

Instance details

Defined in GHC.Internal.Data.Semigroup.Internal

Associated Types

type Rep (Product a) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal type Rep (Product a) = D1 ('MetaData "Product" "GHC.Internal.Data.Semigroup.Internal" "ghc-internal" 'True) (C1 ('MetaCons "Product" 'PrefixI 'True) (S1 ('MetaSel ('Just "getProduct") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

Methods

from :: Product a -> Rep (Product a) x Source #

to :: Rep (Product a) x -> Product a Source #

Generic (Sum a) |

Instance details

Defined in GHC.Internal.Data.Semigroup.Internal

Associated Types

type Rep (Sum a) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal type Rep (Sum a) = D1 ('MetaData "Sum" "GHC.Internal.Data.Semigroup.Internal" "ghc-internal" 'True) (C1 ('MetaCons "Sum" 'PrefixI 'True) (S1 ('MetaSel ('Just "getSum") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

Methods

from :: Sum a -> Rep (Sum a) x Source #

to :: Rep (Sum a) x -> Sum a Source #

Generic (ZipList a) |

Instance details

Defined in GHC.Internal.Functor.ZipList

Associated Types

type Rep (ZipList a) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Functor.ZipList type Rep (ZipList a) = D1 ('MetaData "ZipList" "GHC.Internal.Functor.ZipList" "ghc-internal" 'True) (C1 ('MetaCons "ZipList" 'PrefixI 'True) (S1 ('MetaSel ('Just "getZipList") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 [a])))

Methods

from :: ZipList a -> Rep (ZipList a) x Source #

to :: Rep (ZipList a) x -> ZipList a Source #

Generic (Par1 p) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (Par1 p) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Generics type Rep (Par1 p) = D1 ('MetaData "Par1" "GHC.Internal.Generics" "ghc-internal" 'True) (C1 ('MetaCons "Par1" 'PrefixI 'True) (S1 ('MetaSel ('Just "unPar1") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 p)))

Methods

from :: Par1 p -> Rep (Par1 p) x Source #

to :: Rep (Par1 p) x -> Par1 p Source #

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 Source #

to :: Rep (Maybe a) x -> Maybe a Source #

Generic (Solo a) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (Solo a) | Since: base-4.15
Instance details Defined in GHC.Internal.Generics type Rep (Solo a) = D1 ('MetaData "Solo" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "MkSolo" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

Methods

from :: Solo a -> Rep (Solo a) x Source #

to :: Rep (Solo a) x -> Solo a Source #

Generic [a] |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep [a] | Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep [a] = D1 ('MetaData "List" "GHC.Types" "ghc-prim" 'False) (C1 ('MetaCons "[]" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons ":" ('InfixI 'RightAssociative 5) 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 [a])))

Methods

from :: [a] -> Rep [a] x Source #

to :: Rep [a] x -> [a] Source #

Generic (WrappedMonad m a) |

Instance details

Defined in Control.Applicative

Associated Types

type Rep (WrappedMonad m a) | Since: base-4.7.0.0
Instance details Defined in Control.Applicative type Rep (WrappedMonad m a) = D1 ('MetaData "WrappedMonad" "Control.Applicative" "base" 'True) (C1 ('MetaCons "WrapMonad" 'PrefixI 'True) (S1 ('MetaSel ('Just "unwrapMonad") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (m a))))

Methods

from :: WrappedMonad m a -> Rep (WrappedMonad m a) x Source #

to :: Rep (WrappedMonad m a) x -> WrappedMonad m a Source #

Generic (Arg a b) |

Instance details

Defined in Data.Semigroup

Associated Types

type Rep (Arg a b) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup type Rep (Arg a b) = D1 ('MetaData "Arg" "Data.Semigroup" "base" 'False) (C1 ('MetaCons "Arg" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b)))

Methods

from :: Arg a b -> Rep (Arg a b) x Source #

to :: Rep (Arg a b) x -> Arg a b Source #

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 Source #

to :: Rep (Either a b) x -> Either a b Source #

Generic (Proxy t) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (Proxy t) | Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Generics type Rep (Proxy t) = D1 ('MetaData "Proxy" "GHC.Internal.Data.Proxy" "ghc-internal" 'False) (C1 ('MetaCons "Proxy" 'PrefixI 'False) (U1 :: Type -> Type))

Methods

from :: Proxy t -> Rep (Proxy t) x Source #

to :: Rep (Proxy t) x -> Proxy t Source #

Generic (U1 p) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (U1 p) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Generics type Rep (U1 p) = D1 ('MetaData "U1" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "U1" 'PrefixI 'False) (U1 :: Type -> Type))

Methods

from :: U1 p -> Rep (U1 p) x Source #

to :: Rep (U1 p) x -> U1 p Source #

Generic (V1 p) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (V1 p) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep (V1 p) = D1 ('MetaData "V1" "GHC.Internal.Generics" "ghc-internal" 'False) (V1 :: Type -> Type)

Methods

from :: V1 p -> Rep (V1 p) x Source #

to :: Rep (V1 p) x -> V1 p Source #

Generic (a, b) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (a, b) | Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Generics type Rep (a, b) = D1 ('MetaData "Tuple2" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "(,)" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b)))

Methods

from :: (a, b) -> Rep (a, b) x Source #

to :: Rep (a, b) x -> (a, b) Source #

Generic (WrappedArrow a b c) |

Instance details

Defined in Control.Applicative

Associated Types

type Rep (WrappedArrow a b c) | Since: base-4.7.0.0
Instance details Defined in Control.Applicative type Rep (WrappedArrow a b c) = D1 ('MetaData "WrappedArrow" "Control.Applicative" "base" 'True) (C1 ('MetaCons "WrapArrow" 'PrefixI 'True) (S1 ('MetaSel ('Just "unwrapArrow") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (a b c))))

Methods

from :: WrappedArrow a b c -> Rep (WrappedArrow a b c) x Source #

to :: Rep (WrappedArrow a b c) x -> WrappedArrow a b c Source #

Generic (Kleisli m a b) |

Instance details

Defined in GHC.Internal.Control.Arrow

Associated Types

type Rep (Kleisli m a b) | Since: base-4.14.0.0
Instance details Defined in GHC.Internal.Control.Arrow type Rep (Kleisli m a b) = D1 ('MetaData "Kleisli" "GHC.Internal.Control.Arrow" "ghc-internal" 'True) (C1 ('MetaCons "Kleisli" 'PrefixI 'True) (S1 ('MetaSel ('Just "runKleisli") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (a -> m b))))

Methods

from :: Kleisli m a b -> Rep (Kleisli m a b) x Source #

to :: Rep (Kleisli m a b) x -> Kleisli m a b Source #

Generic (Const a b) |

Instance details

Defined in GHC.Internal.Data.Functor.Const

Associated Types

type Rep (Const a b) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Functor.Const type Rep (Const a b) = D1 ('MetaData "Const" "GHC.Internal.Data.Functor.Const" "ghc-internal" 'True) (C1 ('MetaCons "Const" 'PrefixI 'True) (S1 ('MetaSel ('Just "getConst") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

Methods

from :: Const a b -> Rep (Const a b) x Source #

to :: Rep (Const a b) x -> Const a b Source #

Generic (Ap f a) |

Instance details

Defined in GHC.Internal.Data.Monoid

Associated Types

type Rep (Ap f a) | Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Monoid type Rep (Ap f a) = D1 ('MetaData "Ap" "GHC.Internal.Data.Monoid" "ghc-internal" 'True) (C1 ('MetaCons "Ap" 'PrefixI 'True) (S1 ('MetaSel ('Just "getAp") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (f a))))

Methods

from :: Ap f a -> Rep (Ap f a) x Source #

to :: Rep (Ap f a) x -> Ap f a Source #

Generic (Alt f a) |

Instance details

Defined in GHC.Internal.Data.Semigroup.Internal

Associated Types

type Rep (Alt f a) | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal type Rep (Alt f a) = D1 ('MetaData "Alt" "GHC.Internal.Data.Semigroup.Internal" "ghc-internal" 'True) (C1 ('MetaCons "Alt" 'PrefixI 'True) (S1 ('MetaSel ('Just "getAlt") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (f a))))

Methods

from :: Alt f a -> Rep (Alt f a) x Source #

to :: Rep (Alt f a) x -> Alt f a Source #

Generic (Rec1 f p) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (Rec1 f p) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Generics type Rep (Rec1 f p) = D1 ('MetaData "Rec1" "GHC.Internal.Generics" "ghc-internal" 'True) (C1 ('MetaCons "Rec1" 'PrefixI 'True) (S1 ('MetaSel ('Just "unRec1") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (f p))))

Methods

from :: Rec1 f p -> Rep (Rec1 f p) x Source #

to :: Rep (Rec1 f p) x -> Rec1 f p Source #

Generic (URec (Ptr ()) p) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (URec (Ptr ()) p) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep (URec (Ptr ()) p) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UAddr" 'PrefixI 'True) (S1 ('MetaSel ('Just "uAddr#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UAddr :: Type -> Type)))

Methods

from :: URec (Ptr ()) p -> Rep (URec (Ptr ()) p) x Source #

to :: Rep (URec (Ptr ()) p) x -> URec (Ptr ()) p Source #

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 Source #

to :: Rep (URec Char p) x -> URec Char p Source #

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 Source #

to :: Rep (URec Double p) x -> URec Double p Source #

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 Source #

to :: Rep (URec Float p) x -> URec Float p Source #

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 Source #

to :: Rep (URec Int p) x -> URec Int p Source #

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 Source #

to :: Rep (URec Word p) x -> URec Word p Source #

Generic (a, b, c) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (a, b, c) | Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep (a, b, c) = D1 ('MetaData "Tuple3" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "(,,)" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c))))

Methods

from :: (a, b, c) -> Rep (a, b, c) x Source #

to :: Rep (a, b, c) x -> (a, b, c) Source #

Generic (Product f g a) |

Instance details

Defined in Data.Functor.Product

Associated Types

type Rep (Product f g a) | Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

type Rep (Product f g a) = D1 ('MetaData "Product" "Data.Functor.Product" "base" 'False) (C1 ('MetaCons "Pair" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (f a)) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (g a))))

Methods

from :: Product f g a -> Rep (Product f g a) x Source #

to :: Rep (Product f g a) x -> Product f g a Source #

Generic (Sum f g a) |

Instance details

Defined in Data.Functor.Sum

Associated Types

type Rep (Sum f g a) | Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Sum

type Rep (Sum f g a) = D1 ('MetaData "Sum" "Data.Functor.Sum" "base" 'False) (C1 ('MetaCons "InL" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (f a))) :+: C1 ('MetaCons "InR" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (g a))))

Methods

from :: Sum f g a -> Rep (Sum f g a) x Source #

to :: Rep (Sum f g a) x -> Sum f g a Source #

Generic ((f :*: g) p) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep ((f :*: g) p) | Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep ((f :*: g) p) = D1 ('MetaData ":*:" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons ":*:" ('InfixI 'RightAssociative 6) 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (f p)) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (g p))))

Methods

from :: (f :*: g) p -> Rep ((f :*: g) p) x Source #

to :: Rep ((f :*: g) p) x -> (f :*: g) p Source #

Generic ((f :+: g) p) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep ((f :+: g) p) | Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep ((f :+: g) p) = D1 ('MetaData ":+:" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "L1" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (f p))) :+: C1 ('MetaCons "R1" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (g p))))

Methods

from :: (f :+: g) p -> Rep ((f :+: g) p) x Source #

to :: Rep ((f :+: g) p) x -> (f :+: g) p Source #

Generic (K1 i c p) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (K1 i c p) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Generics type Rep (K1 i c p) = D1 ('MetaData "K1" "GHC.Internal.Generics" "ghc-internal" 'True) (C1 ('MetaCons "K1" 'PrefixI 'True) (S1 ('MetaSel ('Just "unK1") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c)))

Methods

from :: K1 i c p -> Rep (K1 i c p) x Source #

to :: Rep (K1 i c p) x -> K1 i c p Source #

Generic (a, b, c, d) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (a, b, c, d) | Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep (a, b, c, d) = D1 ('MetaData "Tuple4" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "(,,,)" 'PrefixI 'False) ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d))))

Methods

from :: (a, b, c, d) -> Rep (a, b, c, d) x Source #

to :: Rep (a, b, c, d) x -> (a, b, c, d) Source #

Generic (Compose f g a) |

Instance details

Defined in Data.Functor.Compose

Associated Types

type Rep (Compose f g a) | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Compose type Rep (Compose f g a) = D1 ('MetaData "Compose" "Data.Functor.Compose" "base" 'True) (C1 ('MetaCons "Compose" 'PrefixI 'True) (S1 ('MetaSel ('Just "getCompose") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (f (g a)))))

Methods

from :: Compose f g a -> Rep (Compose f g a) x Source #

to :: Rep (Compose f g a) x -> Compose f g a Source #

Generic ((f :.: g) p) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep ((f :.: g) p) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Generics type Rep ((f :.: g) p) = D1 ('MetaData ":.:" "GHC.Internal.Generics" "ghc-internal" 'True) (C1 ('MetaCons "Comp1" 'PrefixI 'True) (S1 ('MetaSel ('Just "unComp1") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (f (g p)))))

Methods

from :: (f :.: g) p -> Rep ((f :.: g) p) x Source #

to :: Rep ((f :.: g) p) x -> (f :.: g) p Source #

Generic (M1 i c f p) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (M1 i c f p) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Generics type Rep (M1 i c f p) = D1 ('MetaData "M1" "GHC.Internal.Generics" "ghc-internal" 'True) (C1 ('MetaCons "M1" 'PrefixI 'True) (S1 ('MetaSel ('Just "unM1") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (f p))))

Methods

from :: M1 i c f p -> Rep (M1 i c f p) x Source #

to :: Rep (M1 i c f p) x -> M1 i c f p Source #

Generic (a, b, c, d, e) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (a, b, c, d, e) | Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep (a, b, c, d, e) = D1 ('MetaData "Tuple5" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,)" 'PrefixI 'False) ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e)))))

Methods

from :: (a, b, c, d, e) -> Rep (a, b, c, d, e) x Source #

to :: Rep (a, b, c, d, e) x -> (a, b, c, d, e) Source #

Generic (a, b, c, d, e, f) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (a, b, c, d, e, f) | Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep (a, b, c, d, e, f) = D1 ('MetaData "Tuple6" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,)" 'PrefixI 'False) ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c))) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f)))))

Methods

from :: (a, b, c, d, e, f) -> Rep (a, b, c, d, e, f) x Source #

to :: Rep (a, b, c, d, e, f) x -> (a, b, c, d, e, f) Source #

Generic (a, b, c, d, e, f, g) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (a, b, c, d, e, f, g) | Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep (a, b, c, d, e, f, g) = D1 ('MetaData "Tuple7" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,)" 'PrefixI 'False) ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 g)))))

Methods

from :: (a, b, c, d, e, f, g) -> Rep (a, b, c, d, e, f, g) x Source #

to :: Rep (a, b, c, d, e, f, g) x -> (a, b, c, d, e, f, g) Source #

Generic (a, b, c, d, e, f, g, h) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (a, b, c, d, e, f, g, h) | Since: base-4.16.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep (a, b, c, d, e, f, g, h) = D1 ('MetaData "Tuple8" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,,)" 'PrefixI 'False) (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 g) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 h)))))

Methods

from :: (a, b, c, d, e, f, g, h) -> Rep (a, b, c, d, e, f, g, h) x Source #

to :: Rep (a, b, c, d, e, f, g, h) x -> (a, b, c, d, e, f, g, h) Source #

Generic (a, b, c, d, e, f, g, h, i) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (a, b, c, d, e, f, g, h, i) | Since: base-4.16.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep (a, b, c, d, e, f, g, h, i) = D1 ('MetaData "Tuple9" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,,,)" 'PrefixI 'False) (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 g) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 h) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 i))))))

Methods

from :: (a, b, c, d, e, f, g, h, i) -> Rep (a, b, c, d, e, f, g, h, i) x Source #

to :: Rep (a, b, c, d, e, f, g, h, i) x -> (a, b, c, d, e, f, g, h, i) Source #

Generic (a, b, c, d, e, f, g, h, i, j) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (a, b, c, d, e, f, g, h, i, j) | Since: base-4.16.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep (a, b, c, d, e, f, g, h, i, j) = D1 ('MetaData "Tuple10" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,,,,)" 'PrefixI 'False) (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e)))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 g)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 h) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 i) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 j))))))

Methods

from :: (a, b, c, d, e, f, g, h, i, j) -> Rep (a, b, c, d, e, f, g, h, i, j) x Source #

to :: Rep (a, b, c, d, e, f, g, h, i, j) x -> (a, b, c, d, e, f, g, h, i, j) Source #

Generic (a, b, c, d, e, f, g, h, i, j, k) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (a, b, c, d, e, f, g, h, i, j, k) | Since: base-4.16.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep (a, b, c, d, e, f, g, h, i, j, k) = D1 ('MetaData "Tuple11" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,,,,,)" 'PrefixI 'False) (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e)))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 g) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 h))) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 i) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 j) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 k))))))

Methods

from :: (a, b, c, d, e, f, g, h, i, j, k) -> Rep (a, b, c, d, e, f, g, h, i, j, k) x Source #

to :: Rep (a, b, c, d, e, f, g, h, i, j, k) x -> (a, b, c, d, e, f, g, h, i, j, k) Source #

Generic (a, b, c, d, e, f, g, h, i, j, k, l) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (a, b, c, d, e, f, g, h, i, j, k, l) | Since: base-4.16.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep (a, b, c, d, e, f, g, h, i, j, k, l) = D1 ('MetaData "Tuple12" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,,,,,,)" 'PrefixI 'False) (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c))) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f)))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 g) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 h) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 i))) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 j) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 k) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 l))))))

Methods

from :: (a, b, c, d, e, f, g, h, i, j, k, l) -> Rep (a, b, c, d, e, f, g, h, i, j, k, l) x Source #

to :: Rep (a, b, c, d, e, f, g, h, i, j, k, l) x -> (a, b, c, d, e, f, g, h, i, j, k, l) Source #

Generic (a, b, c, d, e, f, g, h, i, j, k, l, m) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (a, b, c, d, e, f, g, h, i, j, k, l, m) | Since: base-4.16.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep (a, b, c, d, e, f, g, h, i, j, k, l, m) = D1 ('MetaData "Tuple13" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,,,,,,,)" 'PrefixI 'False) (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c))) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f)))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 g) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 h) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 i))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 j) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 k)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 l) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 m))))))

Methods

from :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Rep (a, b, c, d, e, f, g, h, i, j, k, l, m) x Source #

to :: Rep (a, b, c, d, e, f, g, h, i, j, k, l, m) x -> (a, b, c, d, e, f, g, h, i, j, k, l, m) Source #

Generic (a, b, c, d, e, f, g, h, i, j, k, l, m, n) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n) | Since: base-4.16.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n) = D1 ('MetaData "Tuple14" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,,,,,,,,)" 'PrefixI 'False) (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 g)))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 h) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 i) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 j))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 k) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 l)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 m) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 n))))))

Methods

from :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n) x Source #

to :: Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n) x -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) Source #

Generic (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) | Since: base-4.16.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) = D1 ('MetaData "Tuple15" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,,,,,,,,,)" 'PrefixI 'False) (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 g)))) :*: (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 h) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 i)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 j) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 k))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 l) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 m)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 n) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 o))))))

Methods

from :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) x Source #

to :: Rep (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) x -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) Source #

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

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

A `Generic1` instance must satisfy the following laws:

    from1 . to1 ≡ id
    to1 . from1 ≡ id

Minimal complete definition

from1, to1

#### Instances

Instances details

Generic1 Complex |

Instance details

Defined in Data.Complex

Associated Types

type Rep1 Complex | Since: base-4.9.0.0
Instance details Defined in Data.Complex type Rep1 Complex = D1 ('MetaData "Complex" "Data.Complex" "base" 'False) (C1 ('MetaCons ":+" ('InfixI 'NotAssociative 6) 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1 :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1))

Methods

from1 :: Complex a -> Rep1 Complex a Source #

to1 :: Rep1 Complex a -> Complex a Source #

Generic1 First |

Instance details

Defined in Data.Semigroup

Associated Types

type Rep1 First | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup type Rep1 First = D1 ('MetaData "First" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "First" 'PrefixI 'True) (S1 ('MetaSel ('Just "getFirst") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: First a -> Rep1 First a Source #

to1 :: Rep1 First a -> First a Source #

Generic1 Last |

Instance details

Defined in Data.Semigroup

Associated Types

type Rep1 Last | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup type Rep1 Last = D1 ('MetaData "Last" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "Last" 'PrefixI 'True) (S1 ('MetaSel ('Just "getLast") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Last a -> Rep1 Last a Source #

to1 :: Rep1 Last a -> Last a Source #

Generic1 Max |

Instance details

Defined in Data.Semigroup

Associated Types

type Rep1 Max | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup type Rep1 Max = D1 ('MetaData "Max" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "Max" 'PrefixI 'True) (S1 ('MetaSel ('Just "getMax") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Max a -> Rep1 Max a Source #

to1 :: Rep1 Max a -> Max a Source #

Generic1 Min |

Instance details

Defined in Data.Semigroup

Associated Types

type Rep1 Min | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup type Rep1 Min = D1 ('MetaData "Min" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "Min" 'PrefixI 'True) (S1 ('MetaSel ('Just "getMin") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Min a -> Rep1 Min a Source #

to1 :: Rep1 Min a -> Min a Source #

Generic1 WrappedMonoid |

Instance details

Defined in Data.Semigroup

Associated Types

type Rep1 WrappedMonoid | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup type Rep1 WrappedMonoid = D1 ('MetaData "WrappedMonoid" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "WrapMonoid" 'PrefixI 'True) (S1 ('MetaSel ('Just "unwrapMonoid") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: WrappedMonoid a -> Rep1 WrappedMonoid a Source #

to1 :: Rep1 WrappedMonoid a -> WrappedMonoid a Source #

Generic1 NonEmpty |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 NonEmpty | Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 NonEmpty = D1 ('MetaData "NonEmpty" "GHC.Internal.Base" "ghc-internal" 'False) (C1 ('MetaCons ":|" ('InfixI 'RightAssociative 5) 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1 :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 [])))

Methods

from1 :: NonEmpty a -> Rep1 NonEmpty a Source #

to1 :: Rep1 NonEmpty a -> NonEmpty a Source #

Generic1 Identity |

Instance details

Defined in GHC.Internal.Data.Functor.Identity

Associated Types

type Rep1 Identity | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Functor.Identity type Rep1 Identity = D1 ('MetaData "Identity" "GHC.Internal.Data.Functor.Identity" "ghc-internal" 'True) (C1 ('MetaCons "Identity" 'PrefixI 'True) (S1 ('MetaSel ('Just "runIdentity") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Identity a -> Rep1 Identity a Source #

to1 :: Rep1 Identity a -> Identity a Source #

Generic1 First |

Instance details

Defined in GHC.Internal.Data.Monoid

Associated Types

type Rep1 First | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Monoid type Rep1 First = D1 ('MetaData "First" "GHC.Internal.Data.Monoid" "ghc-internal" 'True) (C1 ('MetaCons "First" 'PrefixI 'True) (S1 ('MetaSel ('Just "getFirst") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 Maybe)))

Methods

from1 :: First a -> Rep1 First a Source #

to1 :: Rep1 First a -> First a Source #

Generic1 Last |

Instance details

Defined in GHC.Internal.Data.Monoid

Associated Types

type Rep1 Last | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Monoid type Rep1 Last = D1 ('MetaData "Last" "GHC.Internal.Data.Monoid" "ghc-internal" 'True) (C1 ('MetaCons "Last" 'PrefixI 'True) (S1 ('MetaSel ('Just "getLast") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 Maybe)))

Methods

from1 :: Last a -> Rep1 Last a Source #

to1 :: Rep1 Last a -> Last a Source #

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 Source #

to1 :: Rep1 Down a -> Down a Source #

Generic1 Dual |

Instance details

Defined in GHC.Internal.Data.Semigroup.Internal

Associated Types

type Rep1 Dual | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal type Rep1 Dual = D1 ('MetaData "Dual" "GHC.Internal.Data.Semigroup.Internal" "ghc-internal" 'True) (C1 ('MetaCons "Dual" 'PrefixI 'True) (S1 ('MetaSel ('Just "getDual") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Dual a -> Rep1 Dual a Source #

to1 :: Rep1 Dual a -> Dual a Source #

Generic1 Product |

Instance details

Defined in GHC.Internal.Data.Semigroup.Internal

Associated Types

type Rep1 Product | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal type Rep1 Product = D1 ('MetaData "Product" "GHC.Internal.Data.Semigroup.Internal" "ghc-internal" 'True) (C1 ('MetaCons "Product" 'PrefixI 'True) (S1 ('MetaSel ('Just "getProduct") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Product a -> Rep1 Product a Source #

to1 :: Rep1 Product a -> Product a Source #

Generic1 Sum |

Instance details

Defined in GHC.Internal.Data.Semigroup.Internal

Associated Types

type Rep1 Sum | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal type Rep1 Sum = D1 ('MetaData "Sum" "GHC.Internal.Data.Semigroup.Internal" "ghc-internal" 'True) (C1 ('MetaCons "Sum" 'PrefixI 'True) (S1 ('MetaSel ('Just "getSum") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Sum a -> Rep1 Sum a Source #

to1 :: Rep1 Sum a -> Sum a Source #

Generic1 ZipList |

Instance details

Defined in GHC.Internal.Functor.ZipList

Associated Types

type Rep1 ZipList | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Functor.ZipList type Rep1 ZipList = D1 ('MetaData "ZipList" "GHC.Internal.Functor.ZipList" "ghc-internal" 'True) (C1 ('MetaCons "ZipList" 'PrefixI 'True) (S1 ('MetaSel ('Just "getZipList") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 [])))

Methods

from1 :: ZipList a -> Rep1 ZipList a Source #

to1 :: Rep1 ZipList a -> ZipList a Source #

Generic1 Par1 |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 Par1 | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 Par1 = D1 ('MetaData "Par1" "GHC.Internal.Generics" "ghc-internal" 'True) (C1 ('MetaCons "Par1" 'PrefixI 'True) (S1 ('MetaSel ('Just "unPar1") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Par1 a -> Rep1 Par1 a Source #

to1 :: Rep1 Par1 a -> Par1 a Source #

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 Source #

to1 :: Rep1 Maybe a -> Maybe a Source #

Generic1 Solo |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 Solo | Since: base-4.15
Instance details Defined in GHC.Internal.Generics type Rep1 Solo = D1 ('MetaData "Solo" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "MkSolo" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Solo a -> Rep1 Solo a Source #

to1 :: Rep1 Solo a -> Solo a Source #

Generic1 [] |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 [] | Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 [] = D1 ('MetaData "List" "GHC.Types" "ghc-prim" 'False) (C1 ('MetaCons "[]" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons ":" ('InfixI 'RightAssociative 5) 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1 :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 [])))

Methods

from1 :: [a] -> Rep1 [] a Source #

to1 :: Rep1 [] a -> [a] Source #

Generic1 (WrappedMonad m :: Type -> Type) |

Instance details

Defined in Control.Applicative

Associated Types

type Rep1 (WrappedMonad m :: Type -> Type) | Since: base-4.7.0.0
Instance details Defined in Control.Applicative type Rep1 (WrappedMonad m :: Type -> Type) = D1 ('MetaData "WrappedMonad" "Control.Applicative" "base" 'True) (C1 ('MetaCons "WrapMonad" 'PrefixI 'True) (S1 ('MetaSel ('Just "unwrapMonad") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 m)))

Methods

from1 :: WrappedMonad m a -> Rep1 (WrappedMonad m) a Source #

to1 :: Rep1 (WrappedMonad m) a -> WrappedMonad m a Source #

Generic1 (Arg a :: Type -> Type) |

Instance details

Defined in Data.Semigroup

Associated Types

type Rep1 (Arg a :: Type -> Type) | Since: base-4.9.0.0
Instance details Defined in Data.Semigroup type Rep1 (Arg a :: Type -> Type) = D1 ('MetaData "Arg" "Data.Semigroup" "base" 'False) (C1 ('MetaCons "Arg" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Arg a a0 -> Rep1 (Arg a) a0 Source #

to1 :: Rep1 (Arg a) a0 -> Arg a a0 Source #

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 Source #

to1 :: Rep1 (Either a) a0 -> Either a a0 Source #

Generic1 ((,) a :: Type -> Type) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 ((,) a :: Type -> Type) | Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 ((,) a :: Type -> Type) = D1 ('MetaData "Tuple2" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "(,)" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: (a, a0) -> Rep1 ((,) a) a0 Source #

to1 :: Rep1 ((,) a) a0 -> (a, a0) Source #

Generic1 (Proxy :: k -> Type) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 (Proxy :: k -> Type) | Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (Proxy :: k -> Type) = D1 ('MetaData "Proxy" "GHC.Internal.Data.Proxy" "ghc-internal" 'False) (C1 ('MetaCons "Proxy" 'PrefixI 'False) (U1 :: k -> Type))

Methods

from1 :: forall (a :: k). Proxy a -> Rep1 (Proxy :: k -> Type) a Source #

to1 :: forall (a :: k). Rep1 (Proxy :: k -> Type) a -> Proxy a Source #

Generic1 (U1 :: k -> Type) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 (U1 :: k -> Type) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (U1 :: k -> Type) = D1 ('MetaData "U1" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "U1" 'PrefixI 'False) (U1 :: k -> Type))

Methods

from1 :: forall (a :: k). U1 a -> Rep1 (U1 :: k -> Type) a Source #

to1 :: forall (a :: k). Rep1 (U1 :: k -> Type) a -> U1 a Source #

Generic1 (V1 :: k -> Type) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 (V1 :: k -> Type) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (V1 :: k -> Type) = D1 ('MetaData "V1" "GHC.Internal.Generics" "ghc-internal" 'False) (V1 :: k -> Type)

Methods

from1 :: forall (a :: k). V1 a -> Rep1 (V1 :: k -> Type) a Source #

to1 :: forall (a :: k). Rep1 (V1 :: k -> Type) a -> V1 a Source #

Generic1 (WrappedArrow a b :: Type -> Type) |

Instance details

Defined in Control.Applicative

Associated Types

type Rep1 (WrappedArrow a b :: Type -> Type) | Since: base-4.7.0.0
Instance details Defined in Control.Applicative type Rep1 (WrappedArrow a b :: Type -> Type) = D1 ('MetaData "WrappedArrow" "Control.Applicative" "base" 'True) (C1 ('MetaCons "WrapArrow" 'PrefixI 'True) (S1 ('MetaSel ('Just "unwrapArrow") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 (a b))))

Methods

from1 :: WrappedArrow a b a0 -> Rep1 (WrappedArrow a b) a0 Source #

to1 :: Rep1 (WrappedArrow a b) a0 -> WrappedArrow a b a0 Source #

Generic1 (Kleisli m a :: Type -> Type) |

Instance details

Defined in GHC.Internal.Control.Arrow

Associated Types

type Rep1 (Kleisli m a :: Type -> Type) | Since: base-4.14.0.0
Instance details Defined in GHC.Internal.Control.Arrow type Rep1 (Kleisli m a :: Type -> Type) = D1 ('MetaData "Kleisli" "GHC.Internal.Control.Arrow" "ghc-internal" 'True) (C1 ('MetaCons "Kleisli" 'PrefixI 'True) (S1 ('MetaSel ('Just "runKleisli") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) ((FUN 'Many a :: Type -> Type) :.: Rec1 m)))

Methods

from1 :: Kleisli m a a0 -> Rep1 (Kleisli m a) a0 Source #

to1 :: Rep1 (Kleisli m a) a0 -> Kleisli m a a0 Source #

Generic1 ((,,) a b :: Type -> Type) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 ((,,) a b :: Type -> Type) | Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 ((,,) a b :: Type -> Type) = D1 ('MetaData "Tuple3" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "(,,)" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1)))

Methods

from1 :: (a, b, a0) -> Rep1 ((,,) a b) a0 Source #

to1 :: Rep1 ((,,) a b) a0 -> (a, b, a0) Source #

Generic1 (Const a :: k -> Type) |

Instance details

Defined in GHC.Internal.Data.Functor.Const

Associated Types

type Rep1 (Const a :: k -> Type) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Functor.Const type Rep1 (Const a :: k -> Type) = D1 ('MetaData "Const" "GHC.Internal.Data.Functor.Const" "ghc-internal" 'True) (C1 ('MetaCons "Const" 'PrefixI 'True) (S1 ('MetaSel ('Just "getConst") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

Methods

from1 :: forall (a0 :: k). Const a a0 -> Rep1 (Const a :: k -> Type) a0 Source #

to1 :: forall (a0 :: k). Rep1 (Const a :: k -> Type) a0 -> Const a a0 Source #

Generic1 (Ap f :: k -> Type) |

Instance details

Defined in GHC.Internal.Data.Monoid

Associated Types

type Rep1 (Ap f :: k -> Type) | Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Monoid type Rep1 (Ap f :: k -> Type) = D1 ('MetaData "Ap" "GHC.Internal.Data.Monoid" "ghc-internal" 'True) (C1 ('MetaCons "Ap" 'PrefixI 'True) (S1 ('MetaSel ('Just "getAp") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 f)))

Methods

from1 :: forall (a :: k). Ap f a -> Rep1 (Ap f) a Source #

to1 :: forall (a :: k). Rep1 (Ap f) a -> Ap f a Source #

Generic1 (Alt f :: k -> Type) |

Instance details

Defined in GHC.Internal.Data.Semigroup.Internal

Associated Types

type Rep1 (Alt f :: k -> Type) | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal type Rep1 (Alt f :: k -> Type) = D1 ('MetaData "Alt" "GHC.Internal.Data.Semigroup.Internal" "ghc-internal" 'True) (C1 ('MetaCons "Alt" 'PrefixI 'True) (S1 ('MetaSel ('Just "getAlt") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 f)))

Methods

from1 :: forall (a :: k). Alt f a -> Rep1 (Alt f) a Source #

to1 :: forall (a :: k). Rep1 (Alt f) a -> Alt f a Source #

Generic1 (Rec1 f :: k -> Type) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 (Rec1 f :: k -> Type) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (Rec1 f :: k -> Type) = D1 ('MetaData "Rec1" "GHC.Internal.Generics" "ghc-internal" 'True) (C1 ('MetaCons "Rec1" 'PrefixI 'True) (S1 ('MetaSel ('Just "unRec1") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 f)))

Methods

from1 :: forall (a :: k). Rec1 f a -> Rep1 (Rec1 f) a Source #

to1 :: forall (a :: k). Rep1 (Rec1 f) a -> Rec1 f a Source #

Generic1 (URec (Ptr ()) :: k -> Type) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 (URec (Ptr ()) :: k -> Type) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (URec (Ptr ()) :: k -> Type) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UAddr" 'PrefixI 'True) (S1 ('MetaSel ('Just "uAddr#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UAddr :: k -> Type)))

Methods

from1 :: forall (a :: k). URec (Ptr ()) a -> Rep1 (URec (Ptr ()) :: k -> Type) a Source #

to1 :: forall (a :: k). Rep1 (URec (Ptr ()) :: k -> Type) a -> URec (Ptr ()) a Source #

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 Source #

to1 :: forall (a :: k). Rep1 (URec Char :: k -> Type) a -> URec Char a Source #

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 Source #

to1 :: forall (a :: k). Rep1 (URec Double :: k -> Type) a -> URec Double a Source #

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 Source #

to1 :: forall (a :: k). Rep1 (URec Float :: k -> Type) a -> URec Float a Source #

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 Source #

to1 :: forall (a :: k). Rep1 (URec Int :: k -> Type) a -> URec Int a Source #

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 Source #

to1 :: forall (a :: k). Rep1 (URec Word :: k -> Type) a -> URec Word a Source #

Generic1 ((,,,) a b c :: Type -> Type) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 ((,,,) a b c :: Type -> Type) | Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 ((,,,) a b c :: Type -> Type) = D1 ('MetaData "Tuple4" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "(,,,)" 'PrefixI 'False) ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1)))

Methods

from1 :: (a, b, c, a0) -> Rep1 ((,,,) a b c) a0 Source #

to1 :: Rep1 ((,,,) a b c) a0 -> (a, b, c, a0) Source #

Generic1 (Product f g :: k -> Type) |

Instance details

Defined in Data.Functor.Product

Associated Types

type Rep1 (Product f g :: k -> Type) | Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

type Rep1 (Product f g :: k -> Type) = D1 ('MetaData "Product" "Data.Functor.Product" "base" 'False) (C1 ('MetaCons "Pair" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 f) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 g)))

Methods

from1 :: forall (a :: k). Product f g a -> Rep1 (Product f g) a Source #

to1 :: forall (a :: k). Rep1 (Product f g) a -> Product f g a Source #

Generic1 (Sum f g :: k -> Type) |

Instance details

Defined in Data.Functor.Sum

Associated Types

type Rep1 (Sum f g :: k -> Type) | Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Sum

type Rep1 (Sum f g :: k -> Type) = D1 ('MetaData "Sum" "Data.Functor.Sum" "base" 'False) (C1 ('MetaCons "InL" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 f)) :+: C1 ('MetaCons "InR" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 g)))

Methods

from1 :: forall (a :: k). Sum f g a -> Rep1 (Sum f g) a Source #

to1 :: forall (a :: k). Rep1 (Sum f g) a -> Sum f g a Source #

Generic1 (f :*: g :: k -> Type) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 (f :*: g :: k -> Type) | Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 (f :*: g :: k -> Type) = D1 ('MetaData ":*:" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons ":*:" ('InfixI 'RightAssociative 6) 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 f) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 g)))

Methods

from1 :: forall (a :: k). (f :*: g) a -> Rep1 (f :*: g) a Source #

to1 :: forall (a :: k). Rep1 (f :*: g) a -> (f :*: g) a Source #

Generic1 (f :+: g :: k -> Type) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 (f :+: g :: k -> Type) | Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 (f :+: g :: k -> Type) = D1 ('MetaData ":+:" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "L1" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 f)) :+: C1 ('MetaCons "R1" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 g)))

Methods

from1 :: forall (a :: k). (f :+: g) a -> Rep1 (f :+: g) a Source #

to1 :: forall (a :: k). Rep1 (f :+: g) a -> (f :+: g) a Source #

Generic1 (K1 i c :: k -> Type) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 (K1 i c :: k -> Type) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (K1 i c :: k -> Type) = D1 ('MetaData "K1" "GHC.Internal.Generics" "ghc-internal" 'True) (C1 ('MetaCons "K1" 'PrefixI 'True) (S1 ('MetaSel ('Just "unK1") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c)))

Methods

from1 :: forall (a :: k). K1 i c a -> Rep1 (K1 i c :: k -> Type) a Source #

to1 :: forall (a :: k). Rep1 (K1 i c :: k -> Type) a -> K1 i c a Source #

Generic1 ((,,,,) a b c d :: Type -> Type) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 ((,,,,) a b c d :: Type -> Type) | Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 ((,,,,) a b c d :: Type -> Type) = D1 ('MetaData "Tuple5" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,)" 'PrefixI 'False) ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))))

Methods

from1 :: (a, b, c, d, a0) -> Rep1 ((,,,,) a b c d) a0 Source #

to1 :: Rep1 ((,,,,) a b c d) a0 -> (a, b, c, d, a0) Source #

Functor f => Generic1 (Compose f g :: k -> Type) |

Instance details

Defined in Data.Functor.Compose

Associated Types

type Rep1 (Compose f g :: k -> Type) | Since: base-4.9.0.0
Instance details Defined in Data.Functor.Compose type Rep1 (Compose f g :: k -> Type) = D1 ('MetaData "Compose" "Data.Functor.Compose" "base" 'True) (C1 ('MetaCons "Compose" 'PrefixI 'True) (S1 ('MetaSel ('Just "getCompose") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (f :.: Rec1 g)))

Methods

from1 :: forall (a :: k). Compose f g a -> Rep1 (Compose f g) a Source #

to1 :: forall (a :: k). Rep1 (Compose f g) a -> Compose f g a Source #

Functor f => Generic1 (f :.: g :: k -> Type) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 (f :.: g :: k -> Type) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (f :.: g :: k -> Type) = D1 ('MetaData ":.:" "GHC.Internal.Generics" "ghc-internal" 'True) (C1 ('MetaCons "Comp1" 'PrefixI 'True) (S1 ('MetaSel ('Just "unComp1") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (f :.: Rec1 g)))

Methods

from1 :: forall (a :: k). (f :.: g) a -> Rep1 (f :.: g) a Source #

to1 :: forall (a :: k). Rep1 (f :.: g) a -> (f :.: g) a Source #

Generic1 (M1 i c f :: k -> Type) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 (M1 i c f :: k -> Type) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (M1 i c f :: k -> Type) = D1 ('MetaData "M1" "GHC.Internal.Generics" "ghc-internal" 'True) (C1 ('MetaCons "M1" 'PrefixI 'True) (S1 ('MetaSel ('Just "unM1") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 f)))

Methods

from1 :: forall (a :: k). M1 i c f a -> Rep1 (M1 i c f) a Source #

to1 :: forall (a :: k). Rep1 (M1 i c f) a -> M1 i c f a Source #

Generic1 ((,,,,,) a b c d e :: Type -> Type) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 ((,,,,,) a b c d e :: Type -> Type) | Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 ((,,,,,) a b c d e :: Type -> Type) = D1 ('MetaData "Tuple6" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,)" 'PrefixI 'False) ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c))) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))))

Methods

from1 :: (a, b, c, d, e, a0) -> Rep1 ((,,,,,) a b c d e) a0 Source #

to1 :: Rep1 ((,,,,,) a b c d e) a0 -> (a, b, c, d, e, a0) Source #

Generic1 ((,,,,,,) a b c d e f :: Type -> Type) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 ((,,,,,,) a b c d e f :: Type -> Type) | Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 ((,,,,,,) a b c d e f :: Type -> Type) = D1 ('MetaData "Tuple7" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,)" 'PrefixI 'False) ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))))

Methods

from1 :: (a, b, c, d, e, f, a0) -> Rep1 ((,,,,,,) a b c d e f) a0 Source #

to1 :: Rep1 ((,,,,,,) a b c d e f) a0 -> (a, b, c, d, e, f, a0) Source #

Generic1 ((,,,,,,,) a b c d e f g :: Type -> Type) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 ((,,,,,,,) a b c d e f g :: Type -> Type) | Since: base-4.16.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 ((,,,,,,,) a b c d e f g :: Type -> Type) = D1 ('MetaData "Tuple8" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,,)" 'PrefixI 'False) (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 g) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))))

Methods

from1 :: (a, b, c, d, e, f, g, a0) -> Rep1 ((,,,,,,,) a b c d e f g) a0 Source #

to1 :: Rep1 ((,,,,,,,) a b c d e f g) a0 -> (a, b, c, d, e, f, g, a0) Source #

Generic1 ((,,,,,,,,) a b c d e f g h :: Type -> Type) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 ((,,,,,,,,) a b c d e f g h :: Type -> Type) | Since: base-4.16.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 ((,,,,,,,,) a b c d e f g h :: Type -> Type) = D1 ('MetaData "Tuple9" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,,,)" 'PrefixI 'False) (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 g) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 h) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1)))))

Methods

from1 :: (a, b, c, d, e, f, g, h, a0) -> Rep1 ((,,,,,,,,) a b c d e f g h) a0 Source #

to1 :: Rep1 ((,,,,,,,,) a b c d e f g h) a0 -> (a, b, c, d, e, f, g, h, a0) Source #

Generic1 ((,,,,,,,,,) a b c d e f g h i :: Type -> Type) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 ((,,,,,,,,,) a b c d e f g h i :: Type -> Type) | Since: base-4.16.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 ((,,,,,,,,,) a b c d e f g h i :: Type -> Type) = D1 ('MetaData "Tuple10" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,,,,)" 'PrefixI 'False) (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e)))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 g)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 h) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 i) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1)))))

Methods

from1 :: (a, b, c, d, e, f, g, h, i, a0) -> Rep1 ((,,,,,,,,,) a b c d e f g h i) a0 Source #

to1 :: Rep1 ((,,,,,,,,,) a b c d e f g h i) a0 -> (a, b, c, d, e, f, g, h, i, a0) Source #

Generic1 ((,,,,,,,,,,) a b c d e f g h i j :: Type -> Type) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 ((,,,,,,,,,,) a b c d e f g h i j :: Type -> Type) | Since: base-4.16.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 ((,,,,,,,,,,) a b c d e f g h i j :: Type -> Type) = D1 ('MetaData "Tuple11" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,,,,,)" 'PrefixI 'False) (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e)))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 g) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 h))) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 i) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 j) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1)))))

Methods

from1 :: (a, b, c, d, e, f, g, h, i, j, a0) -> Rep1 ((,,,,,,,,,,) a b c d e f g h i j) a0 Source #

to1 :: Rep1 ((,,,,,,,,,,) a b c d e f g h i j) a0 -> (a, b, c, d, e, f, g, h, i, j, a0) Source #

Generic1 ((,,,,,,,,,,,) a b c d e f g h i j k :: Type -> Type) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 ((,,,,,,,,,,,) a b c d e f g h i j k :: Type -> Type) | Since: base-4.16.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 ((,,,,,,,,,,,) a b c d e f g h i j k :: Type -> Type) = D1 ('MetaData "Tuple12" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,,,,,,)" 'PrefixI 'False) (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c))) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f)))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 g) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 h) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 i))) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 j) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 k) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1)))))

Methods

from1 :: (a, b, c, d, e, f, g, h, i, j, k, a0) -> Rep1 ((,,,,,,,,,,,) a b c d e f g h i j k) a0 Source #

to1 :: Rep1 ((,,,,,,,,,,,) a b c d e f g h i j k) a0 -> (a, b, c, d, e, f, g, h, i, j, k, a0) Source #

Generic1 ((,,,,,,,,,,,,) a b c d e f g h i j k l :: Type -> Type) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 ((,,,,,,,,,,,,) a b c d e f g h i j k l :: Type -> Type) | Since: base-4.16.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 ((,,,,,,,,,,,,) a b c d e f g h i j k l :: Type -> Type) = D1 ('MetaData "Tuple13" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,,,,,,,)" 'PrefixI 'False) (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c))) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f)))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 g) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 h) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 i))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 j) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 k)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 l) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1)))))

Methods

from1 :: (a, b, c, d, e, f, g, h, i, j, k, l, a0) -> Rep1 ((,,,,,,,,,,,,) a b c d e f g h i j k l) a0 Source #

to1 :: Rep1 ((,,,,,,,,,,,,) a b c d e f g h i j k l) a0 -> (a, b, c, d, e, f, g, h, i, j, k, l, a0) Source #

Generic1 ((,,,,,,,,,,,,,) a b c d e f g h i j k l m :: Type -> Type) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 ((,,,,,,,,,,,,,) a b c d e f g h i j k l m :: Type -> Type) | Since: base-4.16.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 ((,,,,,,,,,,,,,) a b c d e f g h i j k l m :: Type -> Type) = D1 ('MetaData "Tuple14" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,,,,,,,,)" 'PrefixI 'False) (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 g)))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 h) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 i) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 j))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 k) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 l)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 m) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1)))))

Methods

from1 :: (a, b, c, d, e, f, g, h, i, j, k, l, m, a0) -> Rep1 ((,,,,,,,,,,,,,) a b c d e f g h i j k l m) a0 Source #

to1 :: Rep1 ((,,,,,,,,,,,,,) a b c d e f g h i j k l m) a0 -> (a, b, c, d, e, f, g, h, i, j, k, l, m, a0) Source #

Generic1 ((,,,,,,,,,,,,,,) a b c d e f g h i j k l m n :: Type -> Type) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 ((,,,,,,,,,,,,,,) a b c d e f g h i j k l m n :: Type -> Type) | Since: base-4.16.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 ((,,,,,,,,,,,,,,) a b c d e f g h i j k l m n :: Type -> Type) = D1 ('MetaData "Tuple15" "GHC.Tuple" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,,,,,,,,,)" 'PrefixI 'False) (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 g)))) :*: (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 h) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 i)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 j) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 k))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 l) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 m)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 n) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1)))))

Methods

from1 :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, a0) -> Rep1 ((,,,,,,,,,,,,,,) a b c d e f g h i j k l m n) a0 Source #

to1 :: Rep1 ((,,,,,,,,,,,,,,) a b c d e f g h i j k l m n) a0 -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, a0) Source #

data Double Source #

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 Source # parseFormat :: Double -> ModifierParser Source #
Data Double | Since: base-4.0.0.0

Instance details

Defined in GHC.Internal.Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Double -> c Double Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Double Source #

toConstr :: Double -> Constr Source #

dataTypeOf :: Double -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Double) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Double) Source #

gmapT :: (forall b. Data b => b -> b) -> Double -> Double Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Double -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Double -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Double -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Double -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Double -> m Double Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Double -> m Double Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Double -> m Double Source #

Enum Double

`fromEnum` just truncates its argument, beware of all sorts of overflows.

List generators have extremely peculiar behavior, mandated by Haskell Report 2010:

    >>> [0..1.5]
    [0.0,1.0,2.0]

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

succ :: Double -> Double Source #

pred :: Double -> Double Source #

toEnum :: Int -> Double Source #

fromEnum :: Double -> Int Source #

enumFrom :: Double -> [Double] Source #

enumFromThen :: Double -> Double -> [Double] Source #

enumFromTo :: Double -> Double -> [Double] Source #

enumFromThenTo :: Double -> Double -> Double -> [Double] Source #

Floating Double | Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

pi :: Double Source #

exp :: Double -> Double Source #

log :: Double -> Double Source #

sqrt :: Double -> Double Source #

(**) :: Double -> Double -> Double Source #

logBase :: Double -> Double -> Double Source #

sin :: Double -> Double Source #

cos :: Double -> Double Source #

tan :: Double -> Double Source #

asin :: Double -> Double Source #

acos :: Double -> Double Source #

atan :: Double -> Double Source #

sinh :: Double -> Double Source #

cosh :: Double -> Double Source #

tanh :: Double -> Double Source #

asinh :: Double -> Double Source #

acosh :: Double -> Double Source #

atanh :: Double -> Double Source #

log1p :: Double -> Double Source #

expm1 :: Double -> Double Source #

log1pexp :: Double -> Double Source #

log1mexp :: Double -> Double Source #

RealFloat Double | Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

floatRadix :: Double -> Integer Source #

floatDigits :: Double -> Int Source #

floatRange :: Double -> (Int, Int) Source #

decodeFloat :: Double -> (Integer, Int) Source #

encodeFloat :: Integer -> Int -> Double Source #

exponent :: Double -> Int Source #

significand :: Double -> Double Source #

scaleFloat :: Int -> Double -> Double Source #

isNaN :: Double -> Bool Source #

isInfinite :: Double -> Bool Source #

isDenormalized :: Double -> Bool Source #

isNegativeZero :: Double -> Bool Source #

isIEEE :: Double -> Bool Source #

atan2 :: Double -> Double -> Double Source #

Storable Double | Since: base-2.1

Instance details

Defined in GHC.Internal.Foreign.Storable

Methods

sizeOf :: Double -> Int Source #

alignment :: Double -> Int Source #

peekElemOff :: Ptr Double -> Int -> IO Double Source #

pokeElemOff :: Ptr Double -> Int -> Double -> IO () Source #

peekByteOff :: Ptr b -> Int -> IO Double Source #

pokeByteOff :: Ptr b -> Int -> Double -> IO () Source #

peek :: Ptr Double -> IO Double Source #

poke :: Ptr Double -> Double -> IO () Source #

Num Double

This instance implements IEEE 754 standard with all its usual pitfalls about NaN, infinities and negative zero. Neither addition nor multiplication are associative or distributive:

    >>> (0.1 + 0.1) + 0.4 == 0.1 + (0.1 + 0.4)
    False
    >>> (0.1 + 0.2) * 0.3 == 0.1 * 0.3 + 0.2 * 0.3
    False
    >>> (0.1 * 0.1) * 0.3 == 0.1 * (0.1 * 0.3)
    False

Since: base-2.1

Instance details Defined in GHC.Internal.Float Methods (+) :: Double -> Double -> Double Source # (-) :: Double -> Double -> Double Source # (*) :: Double -> Double -> Double Source # negate :: Double -> Double Source # abs :: Double -> Double Source # signum :: Double -> Double Source # fromInteger :: Integer -> Double Source #
Read Double | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Double Source # readList :: ReadS [Double] Source # readPrec :: ReadPrec Double Source # readListPrec :: ReadPrec [Double] Source #

Fractional Double

This instance implements IEEE 754 standard with all its usual pitfalls about NaN, infinities and negative zero.

    >>> 0 == (-0 :: Double)
    True
    >>> recip 0 == recip (-0 :: Double)
    False
    >>> map (/ 0) [-1, 0, 1]
    [-Infinity,NaN,Infinity]
    >>> map (* 0) $ map (/ 0) [-1, 0, 1]
    [NaN,NaN,NaN]

Since: base-2.1

Instance details Defined in GHC.Internal.Float Methods (/) :: Double -> Double -> Double Source # recip :: Double -> Double Source # fromRational :: Rational -> Double Source #

Real Double

Beware that `toRational` generates garbage for non-finite arguments:

    >>> toRational (1/0)
    179769313 (and 300 more digits...) % 1
    >>> toRational (0/0)
    269653970 (and 300 more digits...) % 1

Since: base-2.1

Instance details Defined in GHC.Internal.Float Methods toRational :: Double -> Rational Source #

RealFrac Double

Beware that results for non-finite arguments are garbage:

    >>> [ f x | f <- [round, floor, ceiling], x <- [-1/0, 0/0, 1/0] ] :: [Int]
    [0,0,0,0,0,0,0,0,0]
    >>> map properFraction [-1/0, 0/0, 1/0] :: [(Int, Double)]
    [(0,0.0),(0,0.0),(0,0.0)]

and get even more non-sensical if you ask for `Integer` instead of `Int`.

Since: base-2.1

Instance details Defined in GHC.Internal.Float Methods properFraction :: Integral b => Double -> (b, Double) Source # truncate :: Integral b => Double -> b Source # round :: Integral b => Double -> b Source # ceiling :: Integral b => Double -> b Source # floor :: Integral b => Double -> b Source #
Show Double | Since: base-2.1
Instance details Defined in GHC.Internal.Float Methods showsPrec :: Int -> Double -> ShowS Source # show :: Double -> String Source # showList :: [Double] -> ShowS Source #

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 Source # (/=) :: Double -> Double -> Bool Source #

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 Source # (<) :: Double -> Double -> Bool Source # (<=) :: Double -> Double -> Bool Source # (>) :: Double -> Double -> Bool Source # (>=) :: Double -> Double -> Bool Source # max :: Double -> Double -> Double Source # min :: Double -> Double -> Double Source #
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 Source #

to1 :: forall (a :: k). Rep1 (URec Double :: k -> Type) a -> URec Double a Source #

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 Source #

foldMap :: Monoid m => (a -> m) -> UDouble a -> m Source #

foldMap' :: Monoid m => (a -> m) -> UDouble a -> m Source #

foldr :: (a -> b -> b) -> b -> UDouble a -> b Source #

foldr' :: (a -> b -> b) -> b -> UDouble a -> b Source #

foldl :: (b -> a -> b) -> b -> UDouble a -> b Source #

foldl' :: (b -> a -> b) -> b -> UDouble a -> b Source #

foldr1 :: (a -> a -> a) -> UDouble a -> a Source #

foldl1 :: (a -> a -> a) -> UDouble a -> a Source #

toList :: UDouble a -> [a] Source #

null :: UDouble a -> Bool Source #

length :: UDouble a -> Int Source #

elem :: Eq a => a -> UDouble a -> Bool Source #

maximum :: Ord a => UDouble a -> a Source #

minimum :: Ord a => UDouble a -> a Source #

sum :: Num a => UDouble a -> a Source #

product :: Num a => UDouble a -> a Source #

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) Source # sequenceA :: Applicative f => UDouble (f a) -> f (UDouble a) Source # mapM :: Monad m => (a -> m b) -> UDouble a -> m (UDouble b) Source # sequence :: Monad m => UDouble (m a) -> m (UDouble a) Source #
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 Source # (<$) :: a -> URec Double b -> URec Double a Source #
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 Source #

to :: Rep (URec Double p) x -> URec Double p Source #

Show (URec Double p) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> URec Double p -> ShowS Source # show :: URec Double p -> String Source # showList :: [URec Double p] -> ShowS Source #
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 Source # (/=) :: URec Double p -> URec Double p -> Bool Source #
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 Source #

(<) :: URec Double p -> URec Double p -> Bool Source #

(<=) :: URec Double p -> URec Double p -> Bool Source #

(>) :: URec Double p -> URec Double p -> Bool Source #

(>=) :: URec Double p -> URec Double p -> Bool Source #

max :: URec Double p -> URec Double p -> URec Double p Source #

min :: URec Double p -> URec Double p -> URec Double p Source #

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#

}

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)))

data Float Source #

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 Source # parseFormat :: Float -> ModifierParser Source #
Data Float | Since: base-4.0.0.0

Instance details

Defined in GHC.Internal.Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Float -> c Float Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Float Source #

toConstr :: Float -> Constr Source #

dataTypeOf :: Float -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Float) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Float) Source #

gmapT :: (forall b. Data b => b -> b) -> Float -> Float Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Float -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Float -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Float -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Float -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Float -> m Float Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Float -> m Float Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Float -> m Float Source #

Enum Float

`fromEnum` just truncates its argument, beware of all sorts of overflows.

List generators have extremely peculiar behavior, mandated by Haskell Report 2010:

    >>> [0..1.5 :: Float]
    [0.0,1.0,2.0]

Since: base-2.1

Instance details Defined in GHC.Internal.Float Methods succ :: Float -> Float Source # pred :: Float -> Float Source # toEnum :: Int -> Float Source # fromEnum :: Float -> Int Source # enumFrom :: Float -> [Float] Source # enumFromThen :: Float -> Float -> [Float] Source # enumFromTo :: Float -> Float -> [Float] Source # enumFromThenTo :: Float -> Float -> Float -> [Float] Source #
Floating Float | Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

pi :: Float Source #

exp :: Float -> Float Source #

log :: Float -> Float Source #

sqrt :: Float -> Float Source #

(**) :: Float -> Float -> Float Source #

logBase :: Float -> Float -> Float Source #

sin :: Float -> Float Source #

cos :: Float -> Float Source #

tan :: Float -> Float Source #

asin :: Float -> Float Source #

acos :: Float -> Float Source #

atan :: Float -> Float Source #

sinh :: Float -> Float Source #

cosh :: Float -> Float Source #

tanh :: Float -> Float Source #

asinh :: Float -> Float Source #

acosh :: Float -> Float Source #

atanh :: Float -> Float Source #

log1p :: Float -> Float Source #

expm1 :: Float -> Float Source #

log1pexp :: Float -> Float Source #

log1mexp :: Float -> Float Source #

RealFloat Float | Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

floatRadix :: Float -> Integer Source #

floatDigits :: Float -> Int Source #

floatRange :: Float -> (Int, Int) Source #

decodeFloat :: Float -> (Integer, Int) Source #

encodeFloat :: Integer -> Int -> Float Source #

exponent :: Float -> Int Source #

significand :: Float -> Float Source #

scaleFloat :: Int -> Float -> Float Source #

isNaN :: Float -> Bool Source #

isInfinite :: Float -> Bool Source #

isDenormalized :: Float -> Bool Source #

isNegativeZero :: Float -> Bool Source #

isIEEE :: Float -> Bool Source #

atan2 :: Float -> Float -> Float Source #

Storable Float | Since: base-2.1

Instance details

Defined in GHC.Internal.Foreign.Storable

Methods

sizeOf :: Float -> Int Source #

alignment :: Float -> Int Source #

peekElemOff :: Ptr Float -> Int -> IO Float Source #

pokeElemOff :: Ptr Float -> Int -> Float -> IO () Source #

peekByteOff :: Ptr b -> Int -> IO Float Source #

pokeByteOff :: Ptr b -> Int -> Float -> IO () Source #

peek :: Ptr Float -> IO Float Source #

poke :: Ptr Float -> Float -> IO () Source #

Num Float

This instance implements IEEE 754 standard with all its usual pitfalls about NaN, infinities and negative zero. Neither addition nor multiplication are associative or distributive:

    >>> (0.1 + 0.1 :: Float) + 0.5 == 0.1 + (0.1 + 0.5)
    False
    >>> (0.1 + 0.2 :: Float) * 0.9 == 0.1 * 0.9 + 0.2 * 0.9
    False
    >>> (0.1 * 0.1 :: Float) * 0.9 == 0.1 * (0.1 * 0.9)
    False

Since: base-2.1

Instance details Defined in GHC.Internal.Float Methods (+) :: Float -> Float -> Float Source # (-) :: Float -> Float -> Float Source # (*) :: Float -> Float -> Float Source # negate :: Float -> Float Source # abs :: Float -> Float Source # signum :: Float -> Float Source # fromInteger :: Integer -> Float Source #
Read Float | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Float Source # readList :: ReadS [Float] Source # readPrec :: ReadPrec Float Source # readListPrec :: ReadPrec [Float] Source #

Fractional Float

This instance implements IEEE 754 standard with all its usual pitfalls about NaN, infinities and negative zero.

    >>> 0 == (-0 :: Float)
    True
    >>> recip 0 == recip (-0 :: Float)
    False
    >>> map (/ 0) [-1, 0, 1 :: Float]
    [-Infinity,NaN,Infinity]
    >>> map (* 0) $ map (/ 0) [-1, 0, 1 :: Float]
    [NaN,NaN,NaN]

Since: base-2.1

Instance details Defined in GHC.Internal.Float Methods (/) :: Float -> Float -> Float Source # recip :: Float -> Float Source # fromRational :: Rational -> Float Source #

Real Float

Beware that `toRational` generates garbage for non-finite arguments:

    >>> toRational (1/0 :: Float)
    340282366920938463463374607431768211456 % 1
    >>> toRational (0/0 :: Float)
    510423550381407695195061911147652317184 % 1

Since: base-2.1

Instance details Defined in GHC.Internal.Float Methods toRational :: Float -> Rational Source #

RealFrac Float

Beware that results for non-finite arguments are garbage:

    >>> [ f x | f <- [round, floor, ceiling], x <- [-1/0, 0/0, 1/0 :: Float] ] :: [Int]
    [0,0,0,0,0,0,0,0,0]
    >>> map properFraction [-1/0, 0/0, 1/0] :: [(Int, Float)]
    [(0,0.0),(0,0.0),(0,0.0)]

and get even more non-sensical if you ask for `Integer` instead of `Int`.

Since: base-2.1

Instance details Defined in GHC.Internal.Float Methods properFraction :: Integral b => Float -> (b, Float) Source # truncate :: Integral b => Float -> b Source # round :: Integral b => Float -> b Source # ceiling :: Integral b => Float -> b Source # floor :: Integral b => Float -> b Source #
Show Float | Since: base-2.1
Instance details Defined in GHC.Internal.Float Methods showsPrec :: Int -> Float -> ShowS Source # show :: Float -> String Source # showList :: [Float] -> ShowS Source #

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 Source # (/=) :: Float -> Float -> Bool Source #
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 Source # (<) :: Float -> Float -> Bool Source # (<=) :: Float -> Float -> Bool Source # (>) :: Float -> Float -> Bool Source # (>=) :: Float -> Float -> Bool Source # max :: Float -> Float -> Float Source # min :: Float -> Float -> Float Source #
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 Source #

to1 :: forall (a :: k). Rep1 (URec Float :: k -> Type) a -> URec Float a Source #

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 Source #

foldMap :: Monoid m => (a -> m) -> UFloat a -> m Source #

foldMap' :: Monoid m => (a -> m) -> UFloat a -> m Source #

foldr :: (a -> b -> b) -> b -> UFloat a -> b Source #

foldr' :: (a -> b -> b) -> b -> UFloat a -> b Source #

foldl :: (b -> a -> b) -> b -> UFloat a -> b Source #

foldl' :: (b -> a -> b) -> b -> UFloat a -> b Source #

foldr1 :: (a -> a -> a) -> UFloat a -> a Source #

foldl1 :: (a -> a -> a) -> UFloat a -> a Source #

toList :: UFloat a -> [a] Source #

null :: UFloat a -> Bool Source #

length :: UFloat a -> Int Source #

elem :: Eq a => a -> UFloat a -> Bool Source #

maximum :: Ord a => UFloat a -> a Source #

minimum :: Ord a => UFloat a -> a Source #

sum :: Num a => UFloat a -> a Source #

product :: Num a => UFloat a -> a Source #

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) Source # sequenceA :: Applicative f => UFloat (f a) -> f (UFloat a) Source # mapM :: Monad m => (a -> m b) -> UFloat a -> m (UFloat b) Source # sequence :: Monad m => UFloat (m a) -> m (UFloat a) Source #
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 Source # (<$) :: a -> URec Float b -> URec Float a Source #
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 Source #

to :: Rep (URec Float p) x -> URec Float p Source #

Show (URec Float p) |
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> URec Float p -> ShowS Source # show :: URec Float p -> String Source # showList :: [URec Float p] -> ShowS Source #
Eq (URec Float p) |
Instance details Defined in GHC.Internal.Generics Methods (==) :: URec Float p -> URec Float p -> Bool Source # (/=) :: URec Float p -> URec Float p -> Bool Source #
Ord (URec Float p) |

Instance details

Defined in GHC.Internal.Generics

Methods

compare :: URec Float p -> URec Float p -> Ordering Source #

(<) :: URec Float p -> URec Float p -> Bool Source #

(<=) :: URec Float p -> URec Float p -> Bool Source #

(>) :: URec Float p -> URec Float p -> Bool Source #

(>=) :: URec Float p -> URec Float p -> Bool Source #

max :: URec Float p -> URec Float p -> URec Float p Source #

min :: URec Float p -> URec Float p -> URec Float p Source #

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#

}

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 Integer Source #

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 Source # parseFormat :: Integer -> ModifierParser Source #
Bits Integer | Since: base-2.1

Instance details

Defined in GHC.Internal.Bits

Methods

(.&.) :: Integer -> Integer -> Integer Source #

(.|.) :: Integer -> Integer -> Integer Source #

xor :: Integer -> Integer -> Integer Source #

complement :: Integer -> Integer Source #

shift :: Integer -> Int -> Integer Source #

rotate :: Integer -> Int -> Integer Source #

zeroBits :: Integer Source #

bit :: Int -> Integer Source #

setBit :: Integer -> Int -> Integer Source #

clearBit :: Integer -> Int -> Integer Source #

complementBit :: Integer -> Int -> Integer Source #

testBit :: Integer -> Int -> Bool Source #

bitSizeMaybe :: Integer -> Maybe Int Source #

bitSize :: Integer -> Int Source #

isSigned :: Integer -> Bool Source #

shiftL :: Integer -> Int -> Integer Source #

unsafeShiftL :: Integer -> Int -> Integer Source #

shiftR :: Integer -> Int -> Integer Source #

unsafeShiftR :: Integer -> Int -> Integer Source #

rotateL :: Integer -> Int -> Integer Source #

rotateR :: Integer -> Int -> Integer Source #

popCount :: Integer -> Int Source #

Data Integer | Since: base-4.0.0.0

Instance details

Defined in GHC.Internal.Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Integer -> c Integer Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Integer Source #

toConstr :: Integer -> Constr Source #

dataTypeOf :: Integer -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Integer) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Integer) Source #

gmapT :: (forall b. Data b => b -> b) -> Integer -> Integer Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Integer -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Integer -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Integer -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Integer -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Integer -> m Integer Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Integer -> m Integer Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Integer -> m Integer Source #

Enum Integer | Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Methods

succ :: Integer -> Integer Source #

pred :: Integer -> Integer Source #

toEnum :: Int -> Integer Source #

fromEnum :: Integer -> Int Source #

enumFrom :: Integer -> [Integer] Source #

enumFromThen :: Integer -> Integer -> [Integer] Source #

enumFromTo :: Integer -> Integer -> [Integer] Source #

enumFromThenTo :: Integer -> Integer -> Integer -> [Integer] Source #

Ix Integer | Since: base-2.1
Instance details Defined in GHC.Internal.Ix Methods range :: (Integer, Integer) -> [Integer] Source # index :: (Integer, Integer) -> Integer -> Int Source # unsafeIndex :: (Integer, Integer) -> Integer -> Int Source # inRange :: (Integer, Integer) -> Integer -> Bool Source # rangeSize :: (Integer, Integer) -> Int Source # unsafeRangeSize :: (Integer, Integer) -> Int Source #
Num Integer | Since: base-2.1
Instance details Defined in GHC.Internal.Num Methods (+) :: Integer -> Integer -> Integer Source # (-) :: Integer -> Integer -> Integer Source # (*) :: Integer -> Integer -> Integer Source # negate :: Integer -> Integer Source # abs :: Integer -> Integer Source # signum :: Integer -> Integer Source # fromInteger :: Integer -> Integer Source #
Read Integer | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Integer Source # readList :: ReadS [Integer] Source # readPrec :: ReadPrec Integer Source # readListPrec :: ReadPrec [Integer] Source #
Integral Integer | Since: base-2.0.1
Instance details Defined in GHC.Internal.Real Methods quot :: Integer -> Integer -> Integer Source # rem :: Integer -> Integer -> Integer Source # div :: Integer -> Integer -> Integer Source # mod :: Integer -> Integer -> Integer Source # quotRem :: Integer -> Integer -> (Integer, Integer) Source # divMod :: Integer -> Integer -> (Integer, Integer) Source # toInteger :: Integer -> Integer Source #
Real Integer | Since: base-2.0.1
Instance details Defined in GHC.Internal.Real Methods toRational :: Integer -> Rational Source #
Show Integer | Since: base-2.1
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Integer -> ShowS Source # show :: Integer -> String Source # showList :: [Integer] -> ShowS Source #
Eq Integer |
Instance details Defined in GHC.Num.Integer Methods (==) :: Integer -> Integer -> Bool Source # (/=) :: Integer -> Integer -> Bool Source #
Ord Integer |
Instance details Defined in GHC.Num.Integer Methods compare :: Integer -> Integer -> Ordering Source # (<) :: Integer -> Integer -> Bool Source # (<=) :: Integer -> Integer -> Bool Source # (>) :: Integer -> Integer -> Bool Source # (>=) :: Integer -> Integer -> Bool Source # max :: Integer -> Integer -> Integer Source # min :: Integer -> Integer -> Integer Source #

class a ~# b => (a :: k) ~ (b :: k) infix 4 Source #

Lifted, homogeneous equality. By lifted, we mean that it can be bogus (deferred type error). By homogeneous, the two types `a` and `b` must have the same kinds.

data NonEmpty a Source #

Non-empty (and non-strict) list type.

Since: base-4.9.0.0

Constructors

a :| [a] infixr 5 |

#### Instances

Instances details

MonadZip NonEmpty | Since: base-4.9.0.0
Instance details Defined in Control.Monad.Zip Methods mzip :: NonEmpty a -> NonEmpty b -> NonEmpty (a, b) Source # mzipWith :: (a -> b -> c) -> NonEmpty a -> NonEmpty b -> NonEmpty c Source # munzip :: NonEmpty (a, b) -> (NonEmpty a, NonEmpty b) Source #
Foldable1 NonEmpty | Since: base-4.18.0.0

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => NonEmpty m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> NonEmpty a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> NonEmpty a -> m Source #

toNonEmpty :: NonEmpty a -> NonEmpty a Source #

maximum :: Ord a => NonEmpty a -> a Source #

minimum :: Ord a => NonEmpty a -> a Source #

head :: NonEmpty a -> a Source #

last :: NonEmpty a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> NonEmpty a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> NonEmpty a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> NonEmpty a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> NonEmpty a -> b Source #

Eq1 NonEmpty | Since: base-4.10.0.0
Instance details Defined in Data.Functor.Classes Methods liftEq :: (a -> b -> Bool) -> NonEmpty a -> NonEmpty b -> Bool Source #
Ord1 NonEmpty | Since: base-4.10.0.0
Instance details Defined in Data.Functor.Classes Methods liftCompare :: (a -> b -> Ordering) -> NonEmpty a -> NonEmpty b -> Ordering Source #
Read1 NonEmpty | Since: base-4.10.0.0
Instance details Defined in Data.Functor.Classes Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (NonEmpty a) Source # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [NonEmpty a] Source # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (NonEmpty a) Source # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [NonEmpty a] Source #
Show1 NonEmpty | Since: base-4.10.0.0
Instance details Defined in Data.Functor.Classes Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> NonEmpty a -> ShowS Source # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [NonEmpty a] -> ShowS Source #
Applicative NonEmpty | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods pure :: a -> NonEmpty a Source # (<*>) :: NonEmpty (a -> b) -> NonEmpty a -> NonEmpty b Source # liftA2 :: (a -> b -> c) -> NonEmpty a -> NonEmpty b -> NonEmpty c Source # (*>) :: NonEmpty a -> NonEmpty b -> NonEmpty b Source # (<*) :: NonEmpty a -> NonEmpty b -> NonEmpty a Source #
Functor NonEmpty | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods fmap :: (a -> b) -> NonEmpty a -> NonEmpty b Source # (<$) :: a -> NonEmpty b -> NonEmpty a Source #
Monad NonEmpty | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods (>>=) :: NonEmpty a -> (a -> NonEmpty b) -> NonEmpty b Source # (>>) :: NonEmpty a -> NonEmpty b -> NonEmpty b Source # return :: a -> NonEmpty a Source #
MonadFix NonEmpty | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Control.Monad.Fix Methods mfix :: (a -> NonEmpty a) -> NonEmpty a Source #
Foldable NonEmpty | Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Data.Foldable

Methods

fold :: Monoid m => NonEmpty m -> m Source #

foldMap :: Monoid m => (a -> m) -> NonEmpty a -> m Source #

foldMap' :: Monoid m => (a -> m) -> NonEmpty a -> m Source #

foldr :: (a -> b -> b) -> b -> NonEmpty a -> b Source #

foldr' :: (a -> b -> b) -> b -> NonEmpty a -> b Source #

foldl :: (b -> a -> b) -> b -> NonEmpty a -> b Source #

foldl' :: (b -> a -> b) -> b -> NonEmpty a -> b Source #

foldr1 :: (a -> a -> a) -> NonEmpty a -> a Source #

foldl1 :: (a -> a -> a) -> NonEmpty a -> a Source #

toList :: NonEmpty a -> [a] Source #

null :: NonEmpty a -> Bool Source #

length :: NonEmpty a -> Int Source #

elem :: Eq a => a -> NonEmpty a -> Bool Source #

maximum :: Ord a => NonEmpty a -> a Source #

minimum :: Ord a => NonEmpty a -> a Source #

sum :: Num a => NonEmpty a -> a Source #

product :: Num a => NonEmpty a -> a Source #

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) Source # sequenceA :: Applicative f => NonEmpty (f a) -> f (NonEmpty a) Source # mapM :: Monad m => (a -> m b) -> NonEmpty a -> m (NonEmpty b) Source # sequence :: Monad m => NonEmpty (m a) -> m (NonEmpty a) Source #
Generic1 NonEmpty |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 NonEmpty | Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 NonEmpty = D1 ('MetaData "NonEmpty" "GHC.Internal.Base" "ghc-internal" 'False) (C1 ('MetaCons ":|" ('InfixI 'RightAssociative 5) 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1 :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 [])))

Methods

from1 :: NonEmpty a -> Rep1 NonEmpty a Source #

to1 :: Rep1 NonEmpty a -> NonEmpty a Source #

Semigroup (NonEmpty a) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods (<>) :: NonEmpty a -> NonEmpty a -> NonEmpty a Source # sconcat :: NonEmpty (NonEmpty a) -> NonEmpty a Source # stimes :: Integral b => b -> NonEmpty a -> NonEmpty a Source #
Data a => Data (NonEmpty a) | Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> NonEmpty a -> c (NonEmpty a) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (NonEmpty a) Source #

toConstr :: NonEmpty a -> Constr Source #

dataTypeOf :: NonEmpty a -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (NonEmpty a)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (NonEmpty a)) Source #

gmapT :: (forall b. Data b => b -> b) -> NonEmpty a -> NonEmpty a Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> NonEmpty a -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> NonEmpty a -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> NonEmpty a -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> NonEmpty a -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> NonEmpty a -> m (NonEmpty a) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> NonEmpty a -> m (NonEmpty a) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> NonEmpty a -> m (NonEmpty a) Source #

Generic (NonEmpty a) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (NonEmpty a) | Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep (NonEmpty a) = D1 ('MetaData "NonEmpty" "GHC.Internal.Base" "ghc-internal" 'False) (C1 ('MetaCons ":|" ('InfixI 'RightAssociative 5) 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 [a])))

Methods

from :: NonEmpty a -> Rep (NonEmpty a) x Source #

to :: Rep (NonEmpty a) x -> NonEmpty a Source #

IsList (NonEmpty a) | Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.IsList

Associated Types

type Item (NonEmpty a) |
Instance details Defined in GHC.Internal.IsList type Item (NonEmpty a) = a

Methods

fromList :: [Item (NonEmpty a)] -> NonEmpty a Source #

fromListN :: Int -> [Item (NonEmpty a)] -> NonEmpty a Source #

toList :: NonEmpty a -> [Item (NonEmpty a)] Source #

Read a => Read (NonEmpty a) | Since: base-4.11.0.0
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (NonEmpty a) Source # readList :: ReadS [NonEmpty a] Source # readPrec :: ReadPrec (NonEmpty a) Source # readListPrec :: ReadPrec [NonEmpty a] Source #
Show a => Show (NonEmpty a) | Since: base-4.11.0.0
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> NonEmpty a -> ShowS Source # show :: NonEmpty a -> String Source # showList :: [NonEmpty a] -> ShowS Source #
Eq a => Eq (NonEmpty a) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods (==) :: NonEmpty a -> NonEmpty a -> Bool Source # (/=) :: NonEmpty a -> NonEmpty a -> Bool Source #
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 Source #

(<) :: NonEmpty a -> NonEmpty a -> Bool Source #

(<=) :: NonEmpty a -> NonEmpty a -> Bool Source #

(>) :: NonEmpty a -> NonEmpty a -> Bool Source #

(>=) :: NonEmpty a -> NonEmpty a -> Bool Source #

max :: NonEmpty a -> NonEmpty a -> NonEmpty a Source #

min :: NonEmpty a -> NonEmpty a -> NonEmpty a Source #

type Rep1 NonEmpty | Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 NonEmpty = D1 ('MetaData "NonEmpty" "GHC.Internal.Base" "ghc-internal" 'False) (C1 ('MetaCons ":|" ('InfixI 'RightAssociative 5) 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1 :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 [])))

type Rep (NonEmpty a) | Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep (NonEmpty a) = D1 ('MetaData "NonEmpty" "GHC.Internal.Base" "ghc-internal" 'False) (C1 ('MetaCons ":|" ('InfixI 'RightAssociative 5) 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 [a])))

type Item (NonEmpty a) |
Instance details Defined in GHC.Internal.IsList type Item (NonEmpty a) = a

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

raise a number to a non-negative integral power

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

`error` stops execution and displays an error message.

errorWithoutStackTrace :: [Char] -> a Source #

A variant of `error` that does not produce a stack trace.

Since: base-4.9.0.0

undefined :: HasCallStack => a Source #

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.

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

``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"

($!) :: (a -> b) -> a -> b infixr 0 Source #

Strict (call-by-value) application operator. It takes a function and an argument, evaluates the argument to weak head normal form (WHNF), then calls the function with that value.

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

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

asTypeOf :: a -> a -> a Source #

`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.

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

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.

type ShowS = String -> String Source #

The `shows` functions return a function that prepends the output `String` to an existing `String`. This allows constant-time concatenation of results using function composition.

shows :: Show a => a -> ShowS Source #

equivalent to `showsPrec` with a precedence of 0.

showChar :: Char -> ShowS Source #

utility function converting a `Char` to a show function that simply prepends the character unchanged.

showString :: String -> ShowS Source #

utility function converting a `String` to a show function that simply prepends the string unchanged.

showParen :: Bool -> ShowS -> ShowS Source #

utility function that surrounds the inner show function with parentheses when the `Bool` parameter is `True`.

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

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

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

raise a number to an integral power

gcd :: Integral a => a -> a -> a Source #

``gcd` x y` is the non-negative factor of both `x` and `y` of which every common factor of `x` and `y` is also a factor; for example ``gcd` 4 2 = 2`, ``gcd` (-4) 6 = 2`, ``gcd` 0 4` = `4`. ``gcd` 0 0` = `0`. (That is, the common divisor that is "greatest" in the divisibility preordering.)

Note: Since for signed fixed-width integer types, ``abs` `minBound` < 0`, the result may be negative if one of the arguments is ``minBound`` (and necessarily is if the other is `0` or ``minBound``) for such types.

lcm :: Integral a => a -> a -> a Source #

``lcm` x y` is the smallest positive integer that both `x` and `y` divide.

(<&>) :: Functor f => f a -> (a -> b) -> f b infixl 1 Source #

Flipped version of `<$>`.

    (<&>) = flip fmap

#### Examples

Expand

Apply `(+1)` to a list, a `Just` and a `Right`:

    >>> Just 2 <&> (+1)
    Just 3

    >>> [1,2,3] <&> (+1)
    [2,3,4]

    >>> Right 3 <&> (+1)
    Right 4

Since: base-4.11.0.0

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

Flipped version of `<$`.

#### Examples

Expand

Replace the contents of a ``Maybe` `Int`` with a constant `String`:

    >>> Nothing $> "foo"
    Nothing

    >>> Just 90210 $> "foo"
    Just "foo"

Replace the contents of an ``Either` `Int` `Int`` with a constant `String`, resulting in an ``Either` `Int` `String``:

    >>> Left 8675309 $> "foo"
    Left 8675309

    >>> Right 8675309 $> "foo"
    Right "foo"

Replace each element of a list with a constant `String`:

    >>> [1,2,3] $> "foo"
    ["foo","foo","foo"]

Replace the second element of a pair with a constant `String`:

    >>> (1,2) $> "foo"
    (1,"foo")

Since: base-4.7.0.0

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

``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)

(&) :: a -> (a -> b) -> b infixl 1 Source #

`&` is a reverse application operator. This provides notational convenience. Its precedence is one higher than that of the forward application operator `$`, which allows `&` to be nested in `$`.

This is a version of ``flip` `id``, where `id` is specialized from `a -> a` to `(a -> b) -> (a -> b)` which by the associativity of `(->)` is `(a -> b) -> a -> b`. flipping this yields `a -> (a -> b) -> b` which is the type signature of `&`

#### Examples

Expand

    >>> 5 & (+1) & show
    "6"

    >>> sqrt $ [1 / n^2 | n <- [1..1000]] & sum & (*6)
    3.1406380562059946

Since: base-4.8.0.0

applyWhen :: Bool -> (a -> a) -> a -> a Source #

`applyWhen` applies a function to a value if a condition is true, otherwise, it returns the value unchanged.

It is equivalent to ``flip` (`bool` `id`)`.

#### Examples

Expand

    >>> map (\x -> applyWhen (odd x) (*2) x) [1..10]
    [2,2,6,4,10,6,14,8,18,10]

    >>> map (\x -> applyWhen (length x > 6) ((++ "...") . take 3) x) ["Hi!", "This is amazing", "Hope you're doing well today!", ":D"]
    ["Hi!","Thi...","Hop...",":D"]

#### Algebraic properties

Expand

-     applyWhen True = id

-     applyWhen False f = id

Since: base-4.18.0.0

data ReadP a Source #

#### Instances

Instances details

Alternative ReadP | Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Text.ParserCombinators.ReadP Methods empty :: ReadP a Source # (<|>) :: ReadP a -> ReadP a -> ReadP a Source # some :: ReadP a -> ReadP [a] Source # many :: ReadP a -> ReadP [a] Source #
Applicative ReadP | Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Text.ParserCombinators.ReadP Methods pure :: a -> ReadP a Source # (<*>) :: ReadP (a -> b) -> ReadP a -> ReadP b Source # liftA2 :: (a -> b -> c) -> ReadP a -> ReadP b -> ReadP c Source # (*>) :: ReadP a -> ReadP b -> ReadP b Source # (<*) :: ReadP a -> ReadP b -> ReadP a Source #
Functor ReadP | Since: base-2.1
Instance details Defined in GHC.Internal.Text.ParserCombinators.ReadP Methods fmap :: (a -> b) -> ReadP a -> ReadP b Source # (<$) :: a -> ReadP b -> ReadP a Source #
Monad ReadP | Since: base-2.1
Instance details Defined in GHC.Internal.Text.ParserCombinators.ReadP Methods (>>=) :: ReadP a -> (a -> ReadP b) -> ReadP b Source # (>>) :: ReadP a -> ReadP b -> ReadP b Source # return :: a -> ReadP a Source #
MonadPlus ReadP | Since: base-2.1
Instance details Defined in GHC.Internal.Text.ParserCombinators.ReadP Methods mzero :: ReadP a Source # mplus :: ReadP a -> ReadP a -> ReadP a Source #
MonadFail ReadP | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Text.ParserCombinators.ReadP Methods fail :: String -> ReadP a Source #

type ReadS a = String -> [(a, String)] Source #

A parser for a type `a`, represented as a function that takes a `String` and returns a list of possible parses as `(a,`String`)` pairs.

Note that this kind of backtracking parser is very inefficient; reading a large structure may be quite slow (cf `ReadP`).

readP_to_S :: ReadP a -> ReadS a Source #

Converts a parser into a Haskell ReadS-style function. This is the main way in which you can "run" a `ReadP` parser: the expanded type is `readP_to_S :: ReadP a -> String -> [(a,String)]`

readS_to_P :: ReadS a -> ReadP a Source #

Converts a Haskell ReadS-style function into a parser. Warning: This introduces local backtracking in the resulting parser, and therefore a possible inefficiency.

lex :: ReadS String Source #

The `lex` function reads a single lexeme from the input, discarding initial white space, and returning the characters that constitute the lexeme. If the input string contains only white space, `lex` returns a single successful `lexeme' consisting of the empty string. (Thus ``lex` "" = [("","")]`.) If there is no legal lexeme at the beginning of the input string, `lex` fails (i.e. returns `[]`).

This lexer is not completely faithful to the Haskell lexical syntax in the following respects:

- Qualified names are not handled properly
- Octal and hexadecimal numerics are not recognized as a single token
- Comments are not treated properly

data ReadPrec a Source #

#### Instances

Instances details

Alternative ReadPrec | Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Text.ParserCombinators.ReadPrec Methods empty :: ReadPrec a Source # (<|>) :: ReadPrec a -> ReadPrec a -> ReadPrec a Source # some :: ReadPrec a -> ReadPrec [a] Source # many :: ReadPrec a -> ReadPrec [a] Source #
Applicative ReadPrec | Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Text.ParserCombinators.ReadPrec Methods pure :: a -> ReadPrec a Source # (<*>) :: ReadPrec (a -> b) -> ReadPrec a -> ReadPrec b Source # liftA2 :: (a -> b -> c) -> ReadPrec a -> ReadPrec b -> ReadPrec c Source # (*>) :: ReadPrec a -> ReadPrec b -> ReadPrec b Source # (<*) :: ReadPrec a -> ReadPrec b -> ReadPrec a Source #
Functor ReadPrec | Since: base-2.1
Instance details Defined in GHC.Internal.Text.ParserCombinators.ReadPrec Methods fmap :: (a -> b) -> ReadPrec a -> ReadPrec b Source # (<$) :: a -> ReadPrec b -> ReadPrec a Source #
Monad ReadPrec | Since: base-2.1
Instance details Defined in GHC.Internal.Text.ParserCombinators.ReadPrec Methods (>>=) :: ReadPrec a -> (a -> ReadPrec b) -> ReadPrec b Source # (>>) :: ReadPrec a -> ReadPrec b -> ReadPrec b Source # return :: a -> ReadPrec a Source #
MonadPlus ReadPrec | Since: base-2.1
Instance details Defined in GHC.Internal.Text.ParserCombinators.ReadPrec Methods mzero :: ReadPrec a Source # mplus :: ReadPrec a -> ReadPrec a -> ReadPrec a Source #
MonadFail ReadPrec | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Text.ParserCombinators.ReadPrec Methods fail :: String -> ReadPrec a Source #

readPrec_to_P :: ReadPrec a -> Int -> ReadP a Source #

readP_to_Prec :: (Int -> ReadP a) -> ReadPrec a Source #

readPrec_to_S :: ReadPrec a -> Int -> ReadS a Source #

readS_to_Prec :: (Int -> ReadS a) -> ReadPrec a Source #

readParen :: Bool -> ReadS a -> ReadS a Source #

``readParen` `True` p` parses what `p` parses, but surrounded with parentheses.

``readParen` `False` p` parses what `p` parses, but optionally surrounded with parentheses.

data ThreadStatus Source #

The current status of a thread

Constructors

ThreadRunning | the thread is currently runnable or running
ThreadFinished | the thread has finished
ThreadBlocked BlockReason | the thread is blocked on some resource
ThreadDied | the thread received an uncaught exception

#### Instances

Instances details

Show ThreadStatus | Since: base-4.3.0.0
Instance details Defined in GHC.Internal.Conc.Sync Methods showsPrec :: Int -> ThreadStatus -> ShowS Source # show :: ThreadStatus -> String Source # showList :: [ThreadStatus] -> ShowS Source #
Eq ThreadStatus | Since: base-4.3.0.0
Instance details Defined in GHC.Internal.Conc.Sync Methods (==) :: ThreadStatus -> ThreadStatus -> Bool Source # (/=) :: ThreadStatus -> ThreadStatus -> Bool Source #
Ord ThreadStatus | Since: base-4.3.0.0

Instance details

Defined in GHC.Internal.Conc.Sync

Methods

compare :: ThreadStatus -> ThreadStatus -> Ordering Source #

(<) :: ThreadStatus -> ThreadStatus -> Bool Source #

(<=) :: ThreadStatus -> ThreadStatus -> Bool Source #

(>) :: ThreadStatus -> ThreadStatus -> Bool Source #

(>=) :: ThreadStatus -> ThreadStatus -> Bool Source #

max :: ThreadStatus -> ThreadStatus -> ThreadStatus Source #

min :: ThreadStatus -> ThreadStatus -> ThreadStatus Source #

data BlockReason Source #

Constructors

BlockedOnMVar | blocked on `MVar`
BlockedOnBlackHole | blocked on a computation in progress by another thread
BlockedOnException | blocked in `throwTo`
BlockedOnSTM | blocked in `retry` in an STM transaction
BlockedOnForeignCall | currently in a foreign call
BlockedOnOther | blocked on some other resource. Without `-threaded`, I/O and `threadDelay` show up as `BlockedOnOther`, with `-threaded` they show up as `BlockedOnMVar`.

#### Instances

Instances details

Show BlockReason | Since: base-4.3.0.0
Instance details Defined in GHC.Internal.Conc.Sync Methods showsPrec :: Int -> BlockReason -> ShowS Source # show :: BlockReason -> String Source # showList :: [BlockReason] -> ShowS Source #
Eq BlockReason | Since: base-4.3.0.0
Instance details Defined in GHC.Internal.Conc.Sync Methods (==) :: BlockReason -> BlockReason -> Bool Source # (/=) :: BlockReason -> BlockReason -> Bool Source #
Ord BlockReason | Since: base-4.3.0.0

Instance details

Defined in GHC.Internal.Conc.Sync

Methods

compare :: BlockReason -> BlockReason -> Ordering Source #

(<) :: BlockReason -> BlockReason -> Bool Source #

(<=) :: BlockReason -> BlockReason -> Bool Source #

(>) :: BlockReason -> BlockReason -> Bool Source #

(>=) :: BlockReason -> BlockReason -> Bool Source #

max :: BlockReason -> BlockReason -> BlockReason Source #

min :: BlockReason -> BlockReason -> BlockReason Source #

data TVar a Source #

Shared memory locations that support atomic memory transactions.

Constructors

TVar (TVar# RealWorld a) |

#### Instances

Instances details

Eq (TVar a) | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Conc.Sync Methods (==) :: TVar a -> TVar a -> Bool Source # (/=) :: TVar a -> TVar a -> Bool Source #

pattern ThreadId :: ThreadId# -> ThreadId Source #

threadStatus :: ThreadId -> IO ThreadStatus Source #

Query the current execution status of a thread.

data PrimMVar Source #

newStablePtrPrimMVar :: MVar a -> IO (StablePtr PrimMVar) Source #

Make a `StablePtr` that can be passed to the C function `hs_try_putmvar()`. The RTS wants a `StablePtr` to the underlying `MVar#`, but a `StablePtr#` can only refer to lifted types, so we have to cheat by coercing.

reads :: Read a => ReadS a Source #

equivalent to `readsPrec` with a precedence of 0.

readEither :: Read a => String -> Either String a Source #

Parse a string using the `Read` instance. Succeeds if there is exactly one valid result. A `Left` value indicates a parse error.

    >>> readEither "123" :: Either String Int
    Right 123

    >>> readEither "hello" :: Either String Int
    Left "Prelude.read: no parse"

Since: base-4.6.0.0

readMaybe :: Read a => String -> Maybe a Source #

Parse a string using the `Read` instance. Succeeds if there is exactly one valid result.

    >>> readMaybe "123" :: Maybe Int
    Just 123

    >>> readMaybe "hello" :: Maybe Int
    Nothing

Since: base-4.6.0.0

read :: Read a => String -> a Source #

The `read` function reads input from a string, which must be completely consumed by the input process. `read` fails with an `error` if the parse is unsuccessful, and it is therefore discouraged from being used in real applications. Use `readMaybe` or `readEither` for safe alternatives.

    >>> read "123" :: Int
    123

    >>> read "hello" :: Int
    *** Exception: Prelude.read: no parse

newtype Alt (f :: k -> Type) (a :: k) Source #

Monoid under `<|>`.

    Alt l <> Alt r == Alt (l <|> r)

#### Examples

Expand

    >>> Alt (Just 12) <> Alt (Just 24)
    Alt {getAlt = Just 12}

    >>> Alt Nothing <> Alt (Just 24)
    Alt {getAlt = Just 24}

Since: base-4.8.0.0

Constructors

Alt |

Fields

- getAlt :: f a

#### Instances

Instances details

Generic1 (Alt f :: k -> Type) |

Instance details

Defined in GHC.Internal.Data.Semigroup.Internal

Associated Types

type Rep1 (Alt f :: k -> Type) | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal type Rep1 (Alt f :: k -> Type) = D1 ('MetaData "Alt" "GHC.Internal.Data.Semigroup.Internal" "ghc-internal" 'True) (C1 ('MetaCons "Alt" 'PrefixI 'True) (S1 ('MetaSel ('Just "getAlt") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 f)))

Methods

from1 :: forall (a :: k). Alt f a -> Rep1 (Alt f) a Source #

to1 :: forall (a :: k). Rep1 (Alt f) a -> Alt f a Source #

MonadZip f => MonadZip (Alt f) | Since: base-4.8.0.0
Instance details Defined in Control.Monad.Zip Methods mzip :: Alt f a -> Alt f b -> Alt f (a, b) Source # mzipWith :: (a -> b -> c) -> Alt f a -> Alt f b -> Alt f c Source # munzip :: Alt f (a, b) -> (Alt f a, Alt f b) Source #
Foldable1 f => Foldable1 (Alt f) | Since: base-4.18.0.0

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => Alt f m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> Alt f a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> Alt f a -> m Source #

toNonEmpty :: Alt f a -> NonEmpty a Source #

maximum :: Ord a => Alt f a -> a Source #

minimum :: Ord a => Alt f a -> a Source #

head :: Alt f a -> a Source #

last :: Alt f a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> Alt f a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> Alt f a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> Alt f a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> Alt f a -> b Source #

Contravariant f => Contravariant (Alt f) |
Instance details Defined in Data.Functor.Contravariant Methods contramap :: (a' -> a) -> Alt f a -> Alt f a' Source # (>$) :: b -> Alt f b -> Alt f a Source #
Alternative f => Alternative (Alt f) | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods empty :: Alt f a Source # (<|>) :: Alt f a -> Alt f a -> Alt f a Source # some :: Alt f a -> Alt f [a] Source # many :: Alt f a -> Alt f [a] Source #
Applicative f => Applicative (Alt f) | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods pure :: a -> Alt f a Source # (<*>) :: Alt f (a -> b) -> Alt f a -> Alt f b Source # liftA2 :: (a -> b -> c) -> Alt f a -> Alt f b -> Alt f c Source # (*>) :: Alt f a -> Alt f b -> Alt f b Source # (<*) :: Alt f a -> Alt f b -> Alt f a Source #
Functor f => Functor (Alt f) | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods fmap :: (a -> b) -> Alt f a -> Alt f b Source # (<$) :: a -> Alt f b -> Alt f a Source #
Monad f => Monad (Alt f) | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods (>>=) :: Alt f a -> (a -> Alt f b) -> Alt f b Source # (>>) :: Alt f a -> Alt f b -> Alt f b Source # return :: a -> Alt f a Source #
MonadPlus f => MonadPlus (Alt f) | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods mzero :: Alt f a Source # mplus :: Alt f a -> Alt f a -> Alt f a Source #
MonadFix f => MonadFix (Alt f) | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Control.Monad.Fix Methods mfix :: (a -> Alt f a) -> Alt f a Source #
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 Source #

foldMap :: Monoid m => (a -> m) -> Alt f a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Alt f a -> m Source #

foldr :: (a -> b -> b) -> b -> Alt f a -> b Source #

foldr' :: (a -> b -> b) -> b -> Alt f a -> b Source #

foldl :: (b -> a -> b) -> b -> Alt f a -> b Source #

foldl' :: (b -> a -> b) -> b -> Alt f a -> b Source #

foldr1 :: (a -> a -> a) -> Alt f a -> a Source #

foldl1 :: (a -> a -> a) -> Alt f a -> a Source #

toList :: Alt f a -> [a] Source #

null :: Alt f a -> Bool Source #

length :: Alt f a -> Int Source #

elem :: Eq a => a -> Alt f a -> Bool Source #

maximum :: Ord a => Alt f a -> a Source #

minimum :: Ord a => Alt f a -> a Source #

sum :: Num a => Alt f a -> a Source #

product :: Num a => Alt f a -> a Source #

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) Source # sequenceA :: Applicative f0 => Alt f (f0 a) -> f0 (Alt f a) Source # mapM :: Monad m => (a -> m b) -> Alt f a -> m (Alt f b) Source # sequence :: Monad m => Alt f (m a) -> m (Alt f a) Source #
Alternative f => Monoid (Alt f a) | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods mempty :: Alt f a Source # mappend :: Alt f a -> Alt f a -> Alt f a Source # mconcat :: [Alt f a] -> Alt f a Source #
Alternative f => Semigroup (Alt f a) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods (<>) :: Alt f a -> Alt f a -> Alt f a Source # sconcat :: NonEmpty (Alt f a) -> Alt f a Source # stimes :: Integral b => b -> Alt f a -> Alt f a Source #
(Data (f a), Data a, Typeable f) => Data (Alt f a) | Since: base-4.8.0.0

Instance details

Defined in GHC.Internal.Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Alt f a -> c (Alt f a) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Alt f a) Source #

toConstr :: Alt f a -> Constr Source #

dataTypeOf :: Alt f a -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Alt f a)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Alt f a)) Source #

gmapT :: (forall b. Data b => b -> b) -> Alt f a -> Alt f a Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Alt f a -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Alt f a -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Alt f a -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Alt f a -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Alt f a -> m (Alt f a) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Alt f a -> m (Alt f a) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Alt f a -> m (Alt f a) Source #

Enum (f a) => Enum (Alt f a) | Since: base-4.8.0.0

Instance details

Defined in GHC.Internal.Data.Semigroup.Internal

Methods

succ :: Alt f a -> Alt f a Source #

pred :: Alt f a -> Alt f a Source #

toEnum :: Int -> Alt f a Source #

fromEnum :: Alt f a -> Int Source #

enumFrom :: Alt f a -> [Alt f a] Source #

enumFromThen :: Alt f a -> Alt f a -> [Alt f a] Source #

enumFromTo :: Alt f a -> Alt f a -> [Alt f a] Source #

enumFromThenTo :: Alt f a -> Alt f a -> Alt f a -> [Alt f a] Source #

Generic (Alt f a) |

Instance details

Defined in GHC.Internal.Data.Semigroup.Internal

Associated Types

type Rep (Alt f a) | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal type Rep (Alt f a) = D1 ('MetaData "Alt" "GHC.Internal.Data.Semigroup.Internal" "ghc-internal" 'True) (C1 ('MetaCons "Alt" 'PrefixI 'True) (S1 ('MetaSel ('Just "getAlt") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (f a))))

Methods

from :: Alt f a -> Rep (Alt f a) x Source #

to :: Rep (Alt f a) x -> Alt f a Source #

Num (f a) => Num (Alt f a) | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods (+) :: Alt f a -> Alt f a -> Alt f a Source # (-) :: Alt f a -> Alt f a -> Alt f a Source # (*) :: Alt f a -> Alt f a -> Alt f a Source # negate :: Alt f a -> Alt f a Source # abs :: Alt f a -> Alt f a Source # signum :: Alt f a -> Alt f a Source # fromInteger :: Integer -> Alt f a Source #
Read (f a) => Read (Alt f a) | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods readsPrec :: Int -> ReadS (Alt f a) Source # readList :: ReadS [Alt f a] Source # readPrec :: ReadPrec (Alt f a) Source # readListPrec :: ReadPrec [Alt f a] Source #
Show (f a) => Show (Alt f a) | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods showsPrec :: Int -> Alt f a -> ShowS Source # show :: Alt f a -> String Source # showList :: [Alt f a] -> ShowS Source #
Eq (f a) => Eq (Alt f a) | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods (==) :: Alt f a -> Alt f a -> Bool Source # (/=) :: Alt f a -> Alt f a -> Bool Source #
Ord (f a) => Ord (Alt f a) | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods compare :: Alt f a -> Alt f a -> Ordering Source # (<) :: Alt f a -> Alt f a -> Bool Source # (<=) :: Alt f a -> Alt f a -> Bool Source # (>) :: Alt f a -> Alt f a -> Bool Source # (>=) :: Alt f a -> Alt f a -> Bool Source # max :: Alt f a -> Alt f a -> Alt f a Source # min :: Alt f a -> Alt f a -> Alt f a Source #
type Rep1 (Alt f :: k -> Type) | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal type Rep1 (Alt f :: k -> Type) = D1 ('MetaData "Alt" "GHC.Internal.Data.Semigroup.Internal" "ghc-internal" 'True) (C1 ('MetaCons "Alt" 'PrefixI 'True) (S1 ('MetaSel ('Just "getAlt") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 f)))
type Rep (Alt f a) | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal type Rep (Alt f a) = D1 ('MetaData "Alt" "GHC.Internal.Data.Semigroup.Internal" "ghc-internal" 'True) (C1 ('MetaCons "Alt" 'PrefixI 'True) (S1 ('MetaSel ('Just "getAlt") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (f a))))

newtype Ap (f :: k -> Type) (a :: k) Source #

This data type witnesses the lifting of a `Monoid` into an `Applicative` pointwise.

#### Examples

Expand

    >>> Ap (Just [1, 2, 3]) <> Ap Nothing
    Ap {getAp = Nothing}

    >>> Ap [Sum 10, Sum 20] <> Ap [Sum 1, Sum 2]
    Ap {getAp = [Sum {getSum = 11},Sum {getSum = 12},Sum {getSum = 21},Sum {getSum = 22}]}

Since: base-4.12.0.0

Constructors

Ap |

Fields

- getAp :: f a

#### Instances

Instances details

Generic1 (Ap f :: k -> Type) |

Instance details

Defined in GHC.Internal.Data.Monoid

Associated Types

type Rep1 (Ap f :: k -> Type) | Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Monoid type Rep1 (Ap f :: k -> Type) = D1 ('MetaData "Ap" "GHC.Internal.Data.Monoid" "ghc-internal" 'True) (C1 ('MetaCons "Ap" 'PrefixI 'True) (S1 ('MetaSel ('Just "getAp") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 f)))

Methods

from1 :: forall (a :: k). Ap f a -> Rep1 (Ap f) a Source #

to1 :: forall (a :: k). Rep1 (Ap f) a -> Ap f a Source #

Foldable1 f => Foldable1 (Ap f) | Since: base-4.18.0.0

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => Ap f m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> Ap f a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> Ap f a -> m Source #

toNonEmpty :: Ap f a -> NonEmpty a Source #

maximum :: Ord a => Ap f a -> a Source #

minimum :: Ord a => Ap f a -> a Source #

head :: Ap f a -> a Source #

last :: Ap f a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> Ap f a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> Ap f a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> Ap f a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> Ap f a -> b Source #

Alternative f => Alternative (Ap f) | Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Monoid Methods empty :: Ap f a Source # (<|>) :: Ap f a -> Ap f a -> Ap f a Source # some :: Ap f a -> Ap f [a] Source # many :: Ap f a -> Ap f [a] Source #
Applicative f => Applicative (Ap f) | Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Monoid Methods pure :: a -> Ap f a Source # (<*>) :: Ap f (a -> b) -> Ap f a -> Ap f b Source # liftA2 :: (a -> b -> c) -> Ap f a -> Ap f b -> Ap f c Source # (*>) :: Ap f a -> Ap f b -> Ap f b Source # (<*) :: Ap f a -> Ap f b -> Ap f a Source #
Functor f => Functor (Ap f) | Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Monoid Methods fmap :: (a -> b) -> Ap f a -> Ap f b Source # (<$) :: a -> Ap f b -> Ap f a Source #
Monad f => Monad (Ap f) | Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Monoid Methods (>>=) :: Ap f a -> (a -> Ap f b) -> Ap f b Source # (>>) :: Ap f a -> Ap f b -> Ap f b Source # return :: a -> Ap f a Source #
MonadPlus f => MonadPlus (Ap f) | Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Monoid Methods mzero :: Ap f a Source # mplus :: Ap f a -> Ap f a -> Ap f a Source #
MonadFail f => MonadFail (Ap f) | Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Monoid Methods fail :: String -> Ap f a Source #
MonadFix f => MonadFix (Ap f) | Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Control.Monad.Fix Methods mfix :: (a -> Ap f a) -> Ap f a Source #
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 Source #

foldMap :: Monoid m => (a -> m) -> Ap f a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Ap f a -> m Source #

foldr :: (a -> b -> b) -> b -> Ap f a -> b Source #

foldr' :: (a -> b -> b) -> b -> Ap f a -> b Source #

foldl :: (b -> a -> b) -> b -> Ap f a -> b Source #

foldl' :: (b -> a -> b) -> b -> Ap f a -> b Source #

foldr1 :: (a -> a -> a) -> Ap f a -> a Source #

foldl1 :: (a -> a -> a) -> Ap f a -> a Source #

toList :: Ap f a -> [a] Source #

null :: Ap f a -> Bool Source #

length :: Ap f a -> Int Source #

elem :: Eq a => a -> Ap f a -> Bool Source #

maximum :: Ord a => Ap f a -> a Source #

minimum :: Ord a => Ap f a -> a Source #

sum :: Num a => Ap f a -> a Source #

product :: Num a => Ap f a -> a Source #

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) Source # sequenceA :: Applicative f0 => Ap f (f0 a) -> f0 (Ap f a) Source # mapM :: Monad m => (a -> m b) -> Ap f a -> m (Ap f b) Source # sequence :: Monad m => Ap f (m a) -> m (Ap f a) Source #
(Applicative f, Monoid a) => Monoid (Ap f a) | Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Monoid Methods mempty :: Ap f a Source # mappend :: Ap f a -> Ap f a -> Ap f a Source # mconcat :: [Ap f a] -> Ap f a Source #
(Applicative f, Semigroup a) => Semigroup (Ap f a) | Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Monoid Methods (<>) :: Ap f a -> Ap f a -> Ap f a Source # sconcat :: NonEmpty (Ap f a) -> Ap f a Source # stimes :: Integral b => b -> Ap f a -> Ap f a Source #
(Data (f a), Data a, Typeable f) => Data (Ap f a) | Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Ap f a -> c (Ap f a) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Ap f a) Source #

toConstr :: Ap f a -> Constr Source #

dataTypeOf :: Ap f a -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Ap f a)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Ap f a)) Source #

gmapT :: (forall b. Data b => b -> b) -> Ap f a -> Ap f a Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Ap f a -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Ap f a -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Ap f a -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Ap f a -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Ap f a -> m (Ap f a) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Ap f a -> m (Ap f a) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Ap f a -> m (Ap f a) Source #

(Applicative f, Bounded a) => Bounded (Ap f a) | Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Monoid Methods minBound :: Ap f a Source # maxBound :: Ap f a Source #
Enum (f a) => Enum (Ap f a) | Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.Data.Monoid

Methods

succ :: Ap f a -> Ap f a Source #

pred :: Ap f a -> Ap f a Source #

toEnum :: Int -> Ap f a Source #

fromEnum :: Ap f a -> Int Source #

enumFrom :: Ap f a -> [Ap f a] Source #

enumFromThen :: Ap f a -> Ap f a -> [Ap f a] Source #

enumFromTo :: Ap f a -> Ap f a -> [Ap f a] Source #

enumFromThenTo :: Ap f a -> Ap f a -> Ap f a -> [Ap f a] Source #

Generic (Ap f a) |

Instance details

Defined in GHC.Internal.Data.Monoid

Associated Types

type Rep (Ap f a) | Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Monoid type Rep (Ap f a) = D1 ('MetaData "Ap" "GHC.Internal.Data.Monoid" "ghc-internal" 'True) (C1 ('MetaCons "Ap" 'PrefixI 'True) (S1 ('MetaSel ('Just "getAp") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (f a))))

Methods

from :: Ap f a -> Rep (Ap f a) x Source #

to :: Rep (Ap f a) x -> Ap f a Source #

(Applicative f, Num a) => Num (Ap f a)

Note that even if the underlying `Num` and `Applicative` instances are lawful, for most `Applicative`s, this instance will not be lawful. If you use this instance with the list `Applicative`, the following customary laws will not hold:

Commutativity:

    >>> Ap [10,20] + Ap [1,2]
    Ap {getAp = [11,12,21,22]}
    >>> Ap [1,2] + Ap [10,20]
    Ap {getAp = [11,21,12,22]}

Additive inverse:

    >>> Ap [] + negate (Ap [])
    Ap {getAp = []}
    >>> fromInteger 0 :: Ap [] Int
    Ap {getAp = [0]}

Distributivity:

    >>> Ap [1,2] * (3 + 4)
    Ap {getAp = [7,14]}
    >>> (Ap [1,2] * 3) + (Ap [1,2] * 4)
    Ap {getAp = [7,11,10,14]}

Since: base-4.12.0.0

Instance details Defined in GHC.Internal.Data.Monoid Methods (+) :: Ap f a -> Ap f a -> Ap f a Source # (-) :: Ap f a -> Ap f a -> Ap f a Source # (*) :: Ap f a -> Ap f a -> Ap f a Source # negate :: Ap f a -> Ap f a Source # abs :: Ap f a -> Ap f a Source # signum :: Ap f a -> Ap f a Source # fromInteger :: Integer -> Ap f a Source #
Read (f a) => Read (Ap f a) | Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Monoid Methods readsPrec :: Int -> ReadS (Ap f a) Source # readList :: ReadS [Ap f a] Source # readPrec :: ReadPrec (Ap f a) Source # readListPrec :: ReadPrec [Ap f a] Source #
Show (f a) => Show (Ap f a) | Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Monoid Methods showsPrec :: Int -> Ap f a -> ShowS Source # show :: Ap f a -> String Source # showList :: [Ap f a] -> ShowS Source #
Eq (f a) => Eq (Ap f a) | Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Monoid Methods (==) :: Ap f a -> Ap f a -> Bool Source # (/=) :: Ap f a -> Ap f a -> Bool Source #
Ord (f a) => Ord (Ap f a) | Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Monoid Methods compare :: Ap f a -> Ap f a -> Ordering Source # (<) :: Ap f a -> Ap f a -> Bool Source # (<=) :: Ap f a -> Ap f a -> Bool Source # (>) :: Ap f a -> Ap f a -> Bool Source # (>=) :: Ap f a -> Ap f a -> Bool Source # max :: Ap f a -> Ap f a -> Ap f a Source # min :: Ap f a -> Ap f a -> Ap f a Source #
type Rep1 (Ap f :: k -> Type) | Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Monoid type Rep1 (Ap f :: k -> Type) = D1 ('MetaData "Ap" "GHC.Internal.Data.Monoid" "ghc-internal" 'True) (C1 ('MetaCons "Ap" 'PrefixI 'True) (S1 ('MetaSel ('Just "getAp") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 f)))
type Rep (Ap f a) | Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Monoid type Rep (Ap f a) = D1 ('MetaData "Ap" "GHC.Internal.Data.Monoid" "ghc-internal" 'True) (C1 ('MetaCons "Ap" 'PrefixI 'True) (S1 ('MetaSel ('Just "getAp") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (f a))))

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

Right-to-left monadic fold over the elements of a structure.

Given a structure `t` with elements `(a, b, c, ..., x, y)`, the result of a fold with an operator function `f` is equivalent to:

    foldrM f z t = do
        yy <- f y z
        xx <- f x yy
        ...
        bb <- f b cc
        aa <- f a bb
        return aa -- Just @return z@ when the structure is empty

For a Monad `m`, given two functions `f1 :: a -> m b` and `f2 :: b -> m c`, their Kleisli composition `(f1 >=> f2) :: a -> m c` is defined by:

    (f1 >=> f2) a = f1 a >>= f2

Another way of thinking about `foldrM` is that it amounts to an application to `z` of a Kleisli composition:

    foldrM f z t = f y >=> f x >=> ... >=> f b >=> f a $ z

The monadic effects of `foldrM` are sequenced from right to left, and e.g. folds of infinite lists will diverge.

If at some step the bind operator `(`>>=`)` short-circuits (as with, e.g., `mzero` in a `MonadPlus`), the evaluated effects will be from a tail of the element sequence. If you want to evaluate the monadic effects in left-to-right order, or perhaps be able to short-circuit after an initial sequence of elements, you'll need to use `foldlM` instead.

If the monadic effects don't short-circuit, the outermost application of `f` is to the leftmost element `a`, so that, ignoring effects, the result looks like a right fold:

    a `f` (b `f` (c `f` (... (x `f` (y `f` z))))).

#### Examples

Expand

Basic usage:

    >>> let f i acc = do { print i ; return $ i : acc }
    >>> foldrM f [] [0..3]
    3
    2
    1
    0
    [0,1,2,3]

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

Left-to-right monadic fold over the elements of a structure.

Given a structure `t` with elements `(a, b, ..., w, x, y)`, the result of a fold with an operator function `f` is equivalent to:

    foldlM f z t = do
        aa <- f z a
        bb <- f aa b
        ...
        xx <- f ww x
        yy <- f xx y
        return yy -- Just @return z@ when the structure is empty

For a Monad `m`, given two functions `f1 :: a -> m b` and `f2 :: b -> m c`, their Kleisli composition `(f1 >=> f2) :: a -> m c` is defined by:

    (f1 >=> f2) a = f1 a >>= f2

Another way of thinking about `foldlM` is that it amounts to an application to `z` of a Kleisli composition:

    foldlM f z t =
        flip f a >=> flip f b >=> ... >=> flip f x >=> flip f y $ z

The monadic effects of `foldlM` are sequenced from left to right.

If at some step the bind operator `(`>>=`)` short-circuits (as with, e.g., `mzero` in a `MonadPlus`), the evaluated effects will be from an initial segment of the element sequence. If you want to evaluate the monadic effects in right-to-left order, or perhaps be able to short-circuit after processing a tail of the sequence of elements, you'll need to use `foldrM` instead.

If the monadic effects don't short-circuit, the outermost application of `f` is to the rightmost element `y`, so that, ignoring effects, the result looks like a left fold:

    ((((z `f` a) `f` b) ... `f` w) `f` x) `f` y

#### Examples

Expand

Basic usage:

    >>> let f a e = do { print e ; return $ e : a }
    >>> foldlM f [] [0..3]
    0
    1
    2
    3
    [3,2,1,0]

traverse_ :: (Foldable t, Applicative f) => (a -> f b) -> t a -> f () Source #

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

`traverse_` is just like `mapM_`, but generalised to `Applicative` actions.

#### Examples

Expand

Basic usage:

    >>> traverse_ print ["Hello", "world", "!"]
    "Hello"
    "world"
    "!"

for_ :: (Foldable t, Applicative f) => t a -> (a -> f b) -> f () Source #

`for_` is `traverse_` with its arguments flipped. For a version that doesn't ignore the results see `for`. This is `forM_` generalised to `Applicative` actions.

`for_` is just like `forM_`, but generalised to `Applicative` actions.

#### Examples

Expand

Basic usage:

    >>> for_ [1..4] print
    1
    2
    3
    4

sequenceA_ :: (Foldable t, Applicative f) => t (f a) -> f () Source #

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

`sequenceA_` is just like `sequence_`, but generalised to `Applicative` actions.

#### Examples

Expand

Basic usage:

    >>> sequenceA_ [print "Hello", print "world", print "!"]
    "Hello"
    "world"
    "!"

newtype STM a Source #

A monad supporting atomic memory transactions.

Constructors

STM (State# RealWorld -> (# State# RealWorld, a #)) |

#### Instances

Instances details

Alternative STM | Takes the first non-`retry`ing `STM` action. Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Conc.Sync Methods empty :: STM a Source # (<|>) :: STM a -> STM a -> STM a Source # some :: STM a -> STM [a] Source # many :: STM a -> STM [a] Source #
Applicative STM | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Conc.Sync Methods pure :: a -> STM a Source # (<*>) :: STM (a -> b) -> STM a -> STM b Source # liftA2 :: (a -> b -> c) -> STM a -> STM b -> STM c Source # (*>) :: STM a -> STM b -> STM b Source # (<*) :: STM a -> STM b -> STM a Source #
Functor STM | Since: base-4.3.0.0
Instance details Defined in GHC.Internal.Conc.Sync Methods fmap :: (a -> b) -> STM a -> STM b Source # (<$) :: a -> STM b -> STM a Source #
Monad STM | Since: base-4.3.0.0
Instance details Defined in GHC.Internal.Conc.Sync Methods (>>=) :: STM a -> (a -> STM b) -> STM b Source # (>>) :: STM a -> STM b -> STM b Source # return :: a -> STM a Source #
MonadPlus STM | Takes the first non-`retry`ing `STM` action. Since: base-4.3.0.0
Instance details Defined in GHC.Internal.Conc.Sync Methods mzero :: STM a Source # mplus :: STM a -> STM a -> STM a Source #
Monoid a => Monoid (STM a) | Since: base-4.17.0.0
Instance details Defined in GHC.Internal.Conc.Sync Methods mempty :: STM a Source # mappend :: STM a -> STM a -> STM a Source # mconcat :: [STM a] -> STM a Source #
Semigroup a => Semigroup (STM a) | Since: base-4.17.0.0
Instance details Defined in GHC.Internal.Conc.Sync Methods (<>) :: STM a -> STM a -> STM a Source # sconcat :: NonEmpty (STM a) -> STM a Source # stimes :: Integral b => b -> STM a -> STM a Source #

reportHeapOverflow :: IO () Source #

numCapabilities :: Int Source #

the value passed to the `+RTS -N` flag. This is the number of Haskell threads that can run truly simultaneously at any given time, and is typically set to the number of physical processor cores on the machine.

Strictly speaking it is better to use `getNumCapabilities`, because the number of capabilities might vary at runtime.

getNumProcessors :: IO Int Source #

Returns the number of CPUs that the machine has

Since: base-4.5.0.0

numSparks :: IO Int Source #

Returns the number of sparks currently in the local spark pool

childHandler :: SomeException -> IO () Source #

labelThread :: ThreadId -> String -> IO () Source #

`labelThread` stores a string as identifier for this thread. This identifier will be used in the debugging output to make distinction of different threads easier (otherwise you only have the thread state object's address in the heap). It also emits an event to the RTS eventlog.

pseq :: a -> b -> b infixr 0 Source #

par :: a -> b -> b infixr 0 Source #

runSparks :: IO () Source #

Internal function used by the RTS to run sparks.

listThreads :: IO [ThreadId] Source #

List the Haskell threads of the current process.

Since: base-4.18

unsafeIOToSTM :: IO a -> STM a Source #

Unsafely performs IO in the STM monad. Beware: this is a highly dangerous thing to do.

- The STM implementation will often run transactions multiple times, so you need to be prepared for this if your IO has any side effects.
- The STM implementation will abort transactions that are known to be invalid and need to be restarted. This may happen in the middle of `unsafeIOToSTM`, so make sure you don't acquire any resources that need releasing (exception handlers are ignored when aborting the transaction). That includes doing any IO using Handles, for example. Getting this wrong will probably lead to random deadlocks.
- The transaction may have seen an inconsistent view of memory when the IO runs. Invariants that you expect to be true throughout your program may not be true inside a transaction, due to the way transactions are implemented. Normally this wouldn't be visible to the programmer, but using `unsafeIOToSTM` can expose it.

atomically :: STM a -> IO a Source #

Perform a series of STM actions atomically.

Using `atomically` inside an `unsafePerformIO` or `unsafeInterleaveIO` subverts some of guarantees that STM provides. It makes it possible to run a transaction inside of another transaction, depending on when the thunk is evaluated. If a nested transaction is attempted, an exception is thrown by the runtime. It is possible to safely use `atomically` inside `unsafePerformIO` or `unsafeInterleaveIO`, but the typechecker does not rule out programs that may attempt nested transactions, meaning that the programmer must take special care to prevent these.

However, there are functions for creating transactional variables that can always be safely called in `unsafePerformIO`. See: `newTVarIO`, `newTChanIO`, `newBroadcastTChanIO`, `newTQueueIO`, `newTBQueueIO`, and `newTMVarIO`.

Using `unsafePerformIO` inside of `atomically` is also dangerous but for different reasons. See `unsafeIOToSTM` for more on this.

retry :: STM a Source #

Retry execution of the current memory transaction because it has seen values in `TVar`s which mean that it should not continue (e.g. the `TVar`s represent a shared buffer that is now empty). The implementation may block the thread until one of the `TVar`s that it has read from has been updated. (GHC only)

throwSTM :: Exception e => e -> STM a Source #

A variant of `throw` that can only be used within the `STM` monad.

Throwing an exception in `STM` aborts the transaction and propagates the exception. If the exception is caught via `catchSTM`, only the changes enclosed by the catch are rolled back; changes made outside of `catchSTM` persist.

If the exception is not caught inside of the `STM`, it is re-thrown by `atomically`, and the entire `STM` is rolled back.

Although `throwSTM` has a type that is an instance of the type of `throw`, the two functions are subtly different:

    throw e    `seq` x  ===> throw e
    throwSTM e `seq` x  ===> x

The first example will cause the exception `e` to be raised, whereas the second one won't. In fact, `throwSTM` will only cause an exception to be raised when it is used within the `STM` monad. The `throwSTM` variant should be used in preference to `throw` to raise an exception within the `STM` monad because it guarantees ordering with respect to other `STM` operations, whereas `throw` does not.

catchSTM :: Exception e => STM a -> (e -> STM a) -> STM a Source #

Exception handling within STM actions.

``catchSTM` m f` catches any exception thrown by `m` using `throwSTM`, using the function `f` to handle the exception. If an exception is thrown, any changes made by `m` are rolled back, but changes prior to `m` persist.

newTVar :: a -> STM (TVar a) Source #

Create a new `TVar` holding a value supplied

newTVarIO :: a -> IO (TVar a) Source #

`IO` version of `newTVar`. This is useful for creating top-level `TVar`s using `unsafePerformIO`, because using `atomically` inside `unsafePerformIO` isn't possible.

readTVarIO :: TVar a -> IO a Source #

Return the current value stored in a `TVar`. This is equivalent to

     readTVarIO = atomically . readTVar

but works much faster, because it doesn't perform a complete transaction, it just reads the current value of the `TVar`.

readTVar :: TVar a -> STM a Source #

Return the current value stored in a `TVar`.

writeTVar :: TVar a -> a -> STM () Source #

Write the supplied value into a `TVar`.

reportStackOverflow :: IO () Source #

reportError :: SomeException -> IO () Source #

setUncaughtExceptionHandler :: (SomeException -> IO ()) -> IO () Source #

getUncaughtExceptionHandler :: IO (SomeException -> IO ()) Source #

type HandlerFun = ForeignPtr Word8 -> IO () Source #

type Signal = CInt Source #

setHandler :: Signal -> Maybe (HandlerFun, Dynamic) -> IO (Maybe (HandlerFun, Dynamic)) Source #

runHandlers :: ForeignPtr Word8 -> Signal -> IO () Source #

ensureIOManagerIsRunning :: IO () Source #

ioManagerCapabilitiesChanged :: IO () Source #

registerDelay :: Int -> IO (TVar Bool) Source #

Switch the value of returned `TVar` from initial value `False` to `True` after a given number of microseconds. The caveats associated with `threadDelay` also apply.

Be careful not to exceed `maxBound :: Int`, which on 32-bit machines is only 2147483647 μs, less than 36 minutes.

type family Item l Source #

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

#### Instances

Instances details

type Item ByteArray |
Instance details Defined in Data.Array.Byte type Item ByteArray = Word8
type Item Version |
Instance details Defined in GHC.Internal.IsList type Item Version = Int
type Item CallStack |
Instance details Defined in GHC.Internal.IsList type Item CallStack = (String, SrcLoc)
type Item (NonEmpty a) |
Instance details Defined in GHC.Internal.IsList type Item (NonEmpty a) = a
type Item (ZipList a) |
Instance details Defined in GHC.Internal.IsList type Item (ZipList a) = a
type Item [a] |
Instance details Defined in GHC.Internal.IsList type Item [a] = a

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

The `sortWith` function sorts a list of elements using the user supplied function to project something out of each element

In general if the user supplied function is expensive to compute then you should probably be using `sortOn`, as it only needs to compute it once for each element. `sortWith`, on the other hand must compute the mapping function for every comparison that it performs.

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

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

newtype ArrowMonad (a :: Type -> Type -> Type) b Source #

The `ArrowApply` class is equivalent to `Monad`: any monad gives rise to a `Kleisli` arrow, and any instance of `ArrowApply` defines a monad.

Constructors

ArrowMonad (a () b) |

#### Instances

Instances details

ArrowPlus a => Alternative (ArrowMonad a) | Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Control.Arrow Methods empty :: ArrowMonad a a0 Source # (<|>) :: ArrowMonad a a0 -> ArrowMonad a a0 -> ArrowMonad a a0 Source # some :: ArrowMonad a a0 -> ArrowMonad a [a0] Source # many :: ArrowMonad a a0 -> ArrowMonad a [a0] Source #
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 Source #

(<*>) :: ArrowMonad a (a0 -> b) -> ArrowMonad a a0 -> ArrowMonad a b Source #

liftA2 :: (a0 -> b -> c) -> ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a c Source #

(*>) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a b Source #

(<*) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a a0 Source #

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 Source # (<$) :: a0 -> ArrowMonad a b -> ArrowMonad a a0 Source #
ArrowApply a => Monad (ArrowMonad a) | Since: base-2.1
Instance details Defined in GHC.Internal.Control.Arrow Methods (>>=) :: ArrowMonad a a0 -> (a0 -> ArrowMonad a b) -> ArrowMonad a b Source # (>>) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a b Source # return :: a0 -> ArrowMonad a a0 Source #
(ArrowApply a, ArrowPlus a) => MonadPlus (ArrowMonad a) | Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Control.Arrow Methods mzero :: ArrowMonad a a0 Source # mplus :: ArrowMonad a a0 -> ArrowMonad a a0 -> ArrowMonad a a0 Source #

class ArrowZero a => ArrowPlus (a :: Type -> Type -> Type) where Source #

A monoid on arrows.

Methods

(<+>) :: a b c -> a b c -> a b c infixr 5 Source #

An associative operation with identity `zeroArrow`.

#### Instances

Instances details

MonadPlus m => ArrowPlus (Kleisli m) | Since: base-2.1
Instance details Defined in GHC.Internal.Control.Arrow Methods (<+>) :: Kleisli m b c -> Kleisli m b c -> Kleisli m b c Source #

class Arrow a => ArrowZero (a :: Type -> Type -> Type) where Source #

Methods

zeroArrow :: a b c Source #

#### Instances

Instances details

MonadPlus m => ArrowZero (Kleisli m) | Since: base-2.1
Instance details Defined in GHC.Internal.Control.Arrow Methods zeroArrow :: Kleisli m b c Source #

newtype Kleisli (m :: Type -> Type) a b Source #

Kleisli arrows of a monad.

Constructors

Kleisli |

Fields

- runKleisli :: a -> m b

#### Instances

Instances details

Monad m => Category (Kleisli m :: Type -> Type -> Type) | Since: base-3.0
Instance details Defined in GHC.Internal.Control.Arrow Methods id :: Kleisli m a a Source # (.) :: Kleisli m b c -> Kleisli m a b -> Kleisli m a c Source #
Generic1 (Kleisli m a :: Type -> Type) |

Instance details

Defined in GHC.Internal.Control.Arrow

Associated Types

type Rep1 (Kleisli m a :: Type -> Type) | Since: base-4.14.0.0
Instance details Defined in GHC.Internal.Control.Arrow type Rep1 (Kleisli m a :: Type -> Type) = D1 ('MetaData "Kleisli" "GHC.Internal.Control.Arrow" "ghc-internal" 'True) (C1 ('MetaCons "Kleisli" 'PrefixI 'True) (S1 ('MetaSel ('Just "runKleisli") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) ((FUN 'Many a :: Type -> Type) :.: Rec1 m)))

Methods

from1 :: Kleisli m a a0 -> Rep1 (Kleisli m a) a0 Source #

to1 :: Rep1 (Kleisli m a) a0 -> Kleisli m a a0 Source #

Monad m => Arrow (Kleisli m) | Since: base-2.1
Instance details Defined in GHC.Internal.Control.Arrow Methods arr :: (b -> c) -> Kleisli m b c Source # first :: Kleisli m b c -> Kleisli m (b, d) (c, d) Source # second :: Kleisli m b c -> Kleisli m (d, b) (d, c) Source # (***) :: Kleisli m b c -> Kleisli m b' c' -> Kleisli m (b, b') (c, c') Source # (&&&) :: Kleisli m b c -> Kleisli m b c' -> Kleisli m b (c, c') Source #
Monad m => ArrowApply (Kleisli m) | Since: base-2.1
Instance details Defined in GHC.Internal.Control.Arrow Methods app :: Kleisli m (Kleisli m b c, b) c Source #
Monad m => ArrowChoice (Kleisli m) | Since: base-2.1
Instance details Defined in GHC.Internal.Control.Arrow Methods left :: Kleisli m b c -> Kleisli m (Either b d) (Either c d) Source # right :: Kleisli m b c -> Kleisli m (Either d b) (Either d c) Source # (+++) :: Kleisli m b c -> Kleisli m b' c' -> Kleisli m (Either b b') (Either c c') Source # (|||) :: Kleisli m b d -> Kleisli m c d -> Kleisli m (Either b c) d Source #
MonadFix m => ArrowLoop (Kleisli m) | Beware that for many monads (those for which the `>>=` operation is strict) this instance will not satisfy the right-tightening law required by the `ArrowLoop` class. Since: base-2.1
Instance details Defined in GHC.Internal.Control.Arrow Methods loop :: Kleisli m (b, d) (c, d) -> Kleisli m b c Source #
MonadPlus m => ArrowPlus (Kleisli m) | Since: base-2.1
Instance details Defined in GHC.Internal.Control.Arrow Methods (<+>) :: Kleisli m b c -> Kleisli m b c -> Kleisli m b c Source #
MonadPlus m => ArrowZero (Kleisli m) | Since: base-2.1
Instance details Defined in GHC.Internal.Control.Arrow Methods zeroArrow :: Kleisli m b c Source #
Alternative m => Alternative (Kleisli m a) | Since: base-4.14.0.0
Instance details Defined in GHC.Internal.Control.Arrow Methods empty :: Kleisli m a a0 Source # (<|>) :: Kleisli m a a0 -> Kleisli m a a0 -> Kleisli m a a0 Source # some :: Kleisli m a a0 -> Kleisli m a [a0] Source # many :: Kleisli m a a0 -> Kleisli m a [a0] Source #
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 Source # (<*>) :: Kleisli m a (a0 -> b) -> Kleisli m a a0 -> Kleisli m a b Source # liftA2 :: (a0 -> b -> c) -> Kleisli m a a0 -> Kleisli m a b -> Kleisli m a c Source # (*>) :: Kleisli m a a0 -> Kleisli m a b -> Kleisli m a b Source # (<*) :: Kleisli m a a0 -> Kleisli m a b -> Kleisli m a a0 Source #
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 Source # (<$) :: a0 -> Kleisli m a b -> Kleisli m a a0 Source #
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 Source # (>>) :: Kleisli m a a0 -> Kleisli m a b -> Kleisli m a b Source # return :: a0 -> Kleisli m a a0 Source #
MonadPlus m => MonadPlus (Kleisli m a) | Since: base-4.14.0.0
Instance details Defined in GHC.Internal.Control.Arrow Methods mzero :: Kleisli m a a0 Source # mplus :: Kleisli m a a0 -> Kleisli m a a0 -> Kleisli m a a0 Source #
Generic (Kleisli m a b) |

Instance details

Defined in GHC.Internal.Control.Arrow

Associated Types

type Rep (Kleisli m a b) | Since: base-4.14.0.0
Instance details Defined in GHC.Internal.Control.Arrow type Rep (Kleisli m a b) = D1 ('MetaData "Kleisli" "GHC.Internal.Control.Arrow" "ghc-internal" 'True) (C1 ('MetaCons "Kleisli" 'PrefixI 'True) (S1 ('MetaSel ('Just "runKleisli") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (a -> m b))))

Methods

from :: Kleisli m a b -> Rep (Kleisli m a b) x Source #

to :: Rep (Kleisli m a b) x -> Kleisli m a b Source #

type Rep1 (Kleisli m a :: Type -> Type) | Since: base-4.14.0.0
Instance details Defined in GHC.Internal.Control.Arrow type Rep1 (Kleisli m a :: Type -> Type) = D1 ('MetaData "Kleisli" "GHC.Internal.Control.Arrow" "ghc-internal" 'True) (C1 ('MetaCons "Kleisli" 'PrefixI 'True) (S1 ('MetaSel ('Just "runKleisli") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) ((FUN 'Many a :: Type -> Type) :.: Rec1 m)))
type Rep (Kleisli m a b) | Since: base-4.14.0.0
Instance details Defined in GHC.Internal.Control.Arrow type Rep (Kleisli m a b) = D1 ('MetaData "Kleisli" "GHC.Internal.Control.Arrow" "ghc-internal" 'True) (C1 ('MetaCons "Kleisli" 'PrefixI 'True) (S1 ('MetaSel ('Just "runKleisli") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (a -> m b))))

returnA :: Arrow a => a b b Source #

The identity arrow, which plays the role of `return` in arrow notation.

(^>>) :: Arrow a => (b -> c) -> a c d -> a b d infixr 1 Source #

Precomposition with a pure function.

(>>^) :: Arrow a => a b c -> (c -> d) -> a b d infixr 1 Source #

Postcomposition with a pure function.

(<<^) :: Arrow a => a c d -> (b -> c) -> a b d infixr 1 Source #

Precomposition with a pure function (right-to-left variant).

(^<<) :: Arrow a => (c -> d) -> a b c -> a b d infixr 1 Source #

Postcomposition with a pure function (right-to-left variant).

leftApp :: ArrowApply a => a b c -> a (Either b d) (Either c d) Source #

Any instance of `ArrowApply` can be made into an instance of `ArrowChoice` by defining `left` = `leftApp`.

printf :: PrintfType r => String -> r Source #

Format a variable number of arguments with the C-style formatting string.

    >>> printf "%s, %d, %.4f" "hello" 123 pi
    hello, 123, 3.1416

The return value is either `String` or `(`IO` a)` (which should be `(`IO` ())`, but Haskell's type system makes this hard).

The format string consists of ordinary characters and conversion specifications, which specify how to format one of the arguments to `printf` in the output string. A format specification is introduced by the `%` character; this character can be self-escaped into the format string using `%%`. A format specification ends with a format character that provides the primary information about how to format the value. The rest of the conversion specification is optional. In order, one may have flag characters, a width specifier, a precision specifier, and type-specific modifier characters.

Unlike C `printf(3)`, the formatting of this `printf` is driven by the argument type; formatting is type specific. The types formatted by `printf` "out of the box" are:

- `Integral` types, including `Char`
- `String`
- `RealFloat` types

`printf` is also extensible to support other types: see below.

A conversion specification begins with the character `%`, followed by zero or more of the following flags:

    -      left adjust (default is right adjust)
    +      always use a sign (+ or -) for signed conversions
    space  leading space for positive numbers in signed conversions
    0      pad with zeros rather than spaces
    #      use an \"alternate form\": see below

When both flags are given, `-` overrides `0` and `+` overrides space. A negative width specifier in a `*` conversion is treated as positive but implies the left adjust flag.

The "alternate form" for unsigned radix conversions is as in C `printf(3)`:

    %o           prefix with a leading 0 if needed
    %x           prefix with a leading 0x if nonzero
    %X           prefix with a leading 0X if nonzero
    %b           prefix with a leading 0b if nonzero
    %[eEfFgG]    ensure that the number contains a decimal point

Any flags are followed optionally by a field width:

    num    field width
    *      as num, but taken from argument list

The field width is a minimum, not a maximum: it will be expanded as needed to avoid mutilating a value.

Any field width is followed optionally by a precision:

    .num   precision
    .      same as .0
    .*     as num, but taken from argument list

Negative precision is taken as 0. The meaning of the precision depends on the conversion type.

    Integral    minimum number of digits to show
    RealFloat   number of digits after the decimal point
    String      maximum number of characters

The precision for Integral types is accomplished by zero-padding. If both precision and zero-pad are given for an Integral field, the zero-pad is ignored.

Any precision is followed optionally for Integral types by a width modifier; the only use of this modifier being to set the implicit size of the operand for conversion of a negative operand to unsigned:

    hh     Int8
    h      Int16
    l      Int32
    ll     Int64
    L      Int64

The specification ends with a format character:

    c      character               Integral
    d      decimal                 Integral
    o      octal                   Integral
    x      hexadecimal             Integral
    X      hexadecimal             Integral
    b      binary                  Integral
    u      unsigned decimal        Integral
    f      floating point          RealFloat
    F      floating point          RealFloat
    g      general format float    RealFloat
    G      general format float    RealFloat
    e      exponent format float   RealFloat
    E      exponent format float   RealFloat
    s      string                  String
    v      default format          any type

The "%v" specifier is provided for all built-in types, and should be provided for user-defined type formatters as well. It picks a "best" representation for the given type. For the built-in types the "%v" specifier is converted as follows:

    c      Char
    u      other unsigned Integral
    d      other signed Integral
    g      RealFloat
    s      String

Mismatch between the argument types and the format string, as well as any other syntactic or semantic errors in the format string, will cause an exception to be thrown at runtime.

Note that the formatting for `RealFloat` types is currently a bit different from that of C `printf(3)`, conforming instead to `showEFloat`, `showFFloat` and `showGFloat` (and their alternate versions `showFFloatAlt` and `showGFloatAlt`). This is hard to fix: the fixed versions would format in a backward-incompatible way. In any case the Haskell behavior is generally more sensible than the C behavior. A brief summary of some key differences:

- Haskell `printf` never uses the default "6-digit" precision used by C printf.
- Haskell `printf` treats the "precision" specifier as indicating the number of digits after the decimal point.
- Haskell `printf` prints the exponent of e-format numbers without a gratuitous plus sign, and with the minimum possible number of digits.
- Haskell `printf` will place a zero after a decimal point when possible.

hPrintf :: HPrintfType r => Handle -> String -> r Source #

Similar to `printf`, except that output is via the specified `Handle`. The return type is restricted to `(`IO` a)`.