Copyright	(c) The University of Glasgow 2001
License	BSD-style (see the file libraries/base/LICENSE)
Maintainer	libraries@haskell.org
Stability	stable
Portability	portable
Safe Haskell	Trustworthy
Language	Haskell2010

Prelude

Contents

Description

The Prelude: a standard module. The Prelude is imported by default into all Haskell modules unless either there is an explicit import statement for it, or the NoImplicitPrelude extension is enabled.

Synopsis

data Bool
- = False
- | True
(&&) :: Bool -> Bool -> Bool
(||) :: Bool -> Bool -> Bool
not :: Bool -> Bool
otherwise :: Bool
data Maybe a
- = Nothing
- | Just a
maybe :: b -> (a -> b) -> Maybe a -> b
data Either a b
- = Left a
- | Right b
either :: (a -> c) -> (b -> c) -> Either a b -> c
data Ordering
- = LT
- | EQ
- | GT
data Char
type String = [Char]
fst :: (a, b) -> a
snd :: (a, b) -> b
curry :: ((a, b) -> c) -> a -> b -> c
uncurry :: (a -> b -> c) -> (a, b) -> c
class Eq a where
- (==) :: a -> a -> Bool
- (/=) :: a -> a -> Bool
class Eq a => Ord a where
- compare :: a -> a -> Ordering
- (<) :: a -> a -> Bool
- (<=) :: a -> a -> Bool
- (>) :: a -> a -> Bool
- (>=) :: a -> a -> Bool
- max :: a -> a -> a
- min :: a -> a -> a
class 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 Bounded a where
- minBound :: a
- maxBound :: a
data Int
data Integer
data Float
data Double
type Rational = Ratio Integer
data Word
class Num a where
- (+) :: a -> a -> a
- (-) :: a -> a -> a
- (*) :: a -> a -> a
- negate :: a -> a
- abs :: a -> a
- signum :: a -> a
- fromInteger :: Integer -> a
class (Num a, Ord a) => Real a where
- toRational :: a -> Rational
class (Real a, Enum a) => Integral a where
- quot :: a -> a -> a
- rem :: a -> a -> a
- div :: a -> a -> a
- mod :: a -> a -> a
- quotRem :: a -> a -> (a, a)
- divMod :: a -> a -> (a, a)
- toInteger :: a -> Integer
class Num a => Fractional a where
- (/) :: a -> a -> a
- recip :: a -> a
- fromRational :: Rational -> a
class Fractional a => Floating a where
- pi :: a
- exp :: a -> a
- log :: a -> a
- sqrt :: a -> a
- (**) :: a -> a -> a
- logBase :: a -> a -> a
- sin :: a -> a
- cos :: a -> a
- tan :: a -> a
- asin :: a -> a
- acos :: a -> a
- atan :: a -> a
- sinh :: a -> a
- cosh :: a -> a
- tanh :: a -> a
- asinh :: a -> a
- acosh :: a -> a
- atanh :: a -> a
class (Real a, Fractional a) => RealFrac a where
- properFraction :: Integral b => a -> (b, a)
- truncate :: Integral b => a -> b
- round :: Integral b => a -> b
- ceiling :: Integral b => a -> b
- floor :: Integral b => a -> b
class (RealFrac a, Floating a) => RealFloat a where
- floatRadix :: a -> Integer
- floatDigits :: a -> Int
- floatRange :: a -> (Int, Int)
- decodeFloat :: a -> (Integer, Int)
- encodeFloat :: Integer -> Int -> a
- exponent :: a -> Int
- significand :: a -> a
- scaleFloat :: Int -> a -> a
- isNaN :: a -> Bool
- isInfinite :: a -> Bool
- isDenormalized :: a -> Bool
- isNegativeZero :: a -> Bool
- isIEEE :: a -> Bool
- atan2 :: a -> a -> a
subtract :: Num a => a -> a -> a
even :: Integral a => a -> Bool
odd :: Integral a => a -> Bool
gcd :: Integral a => a -> a -> a
lcm :: Integral a => a -> a -> a
(^) :: (Num a, Integral b) => a -> b -> a
(^^) :: (Fractional a, Integral b) => a -> b -> a
fromIntegral :: (Integral a, Num b) => a -> b
realToFrac :: (Real a, Fractional b) => a -> b
class Semigroup a where
- (<>) :: a -> a -> a
class Semigroup a => Monoid a where
- mempty :: a
- mappend :: a -> a -> a
- mconcat :: [a] -> a
class Functor (f :: Type -> Type) where
- fmap :: (a -> b) -> f a -> f b
- (<$) :: a -> f b -> f a
(<$>) :: Functor f => (a -> b) -> f a -> f b
class Functor f => Applicative (f :: Type -> Type) where
- pure :: a -> f a
- (<*>) :: f (a -> b) -> f a -> f b
- liftA2 :: (a -> b -> c) -> f a -> f b -> f c
- (*>) :: f a -> f b -> f b
- (<*) :: f a -> f b -> f a
class Applicative m => Monad (m :: Type -> Type) where
- (>>=) :: m a -> (a -> m b) -> m b
- (>>) :: m a -> m b -> m b
- return :: a -> m a
class Monad m => MonadFail (m :: Type -> Type) where
- fail :: HasCallStack => String -> m a
mapM_ :: (Foldable t, Monad m) => (a -> m b) -> t a -> m ()
sequence_ :: (Foldable t, Monad m) => t (m a) -> m ()
(=<<) :: Monad m => (a -> m b) -> m a -> m b
class Foldable (t :: Type -> Type) where
- foldMap :: Monoid m => (a -> m) -> t a -> m
- foldr :: (a -> b -> b) -> b -> t a -> b
- foldl :: (b -> a -> b) -> b -> t a -> b
- foldl' :: (b -> a -> b) -> b -> t a -> b
- foldr1 :: (a -> a -> a) -> t a -> a
- foldl1 :: (a -> a -> a) -> t a -> a
- elem :: Eq a => a -> t a -> Bool
- maximum :: Ord a => t a -> a
- minimum :: Ord a => t a -> a
- sum :: Num a => t a -> a
- product :: Num a => t a -> a
class (Functor t, Foldable t) => Traversable (t :: Type -> Type) where
- traverse :: Applicative f => (a -> f b) -> t a -> f (t b)
- sequenceA :: Applicative f => t (f a) -> f (t a)
- mapM :: Monad m => (a -> m b) -> t a -> m (t b)
- sequence :: Monad m => t (m a) -> m (t a)
id :: a -> a
const :: a -> b -> a
(.) :: (b -> c) -> (a -> b) -> a -> c
flip :: (a -> b -> c) -> b -> a -> c
($) :: (a -> b) -> a -> b
until :: (a -> Bool) -> (a -> a) -> a -> a
asTypeOf :: a -> a -> a
error :: HasCallStack => [Char] -> a
errorWithoutStackTrace :: [Char] -> a
undefined :: HasCallStack => a
seq :: a -> b -> b
($!) :: (a -> b) -> a -> b
map :: (a -> b) -> [a] -> [b]
(++) :: [a] -> [a] -> [a]
filter :: (a -> Bool) -> [a] -> [a]
head :: HasCallStack => [a] -> a
last :: HasCallStack => [a] -> a
tail :: HasCallStack => [a] -> [a]
init :: HasCallStack => [a] -> [a]
(!!) :: HasCallStack => [a] -> Int -> a
null :: Foldable t => t a -> Bool
length :: Foldable t => t a -> Int
reverse :: [a] -> [a]
and :: Foldable t => t Bool -> Bool
or :: Foldable t => t Bool -> Bool
any :: Foldable t => (a -> Bool) -> t a -> Bool
all :: Foldable t => (a -> Bool) -> t a -> Bool
concat :: Foldable t => t [a] -> [a]
concatMap :: Foldable t => (a -> [b]) -> t a -> [b]
scanl :: (b -> a -> b) -> b -> [a] -> [b]
scanl1 :: (a -> a -> a) -> [a] -> [a]
scanr :: (a -> b -> b) -> b -> [a] -> [b]
scanr1 :: (a -> a -> a) -> [a] -> [a]
iterate :: (a -> a) -> a -> [a]
repeat :: a -> [a]
replicate :: Int -> a -> [a]
cycle :: HasCallStack => [a] -> [a]
take :: Int -> [a] -> [a]
drop :: Int -> [a] -> [a]
takeWhile :: (a -> Bool) -> [a] -> [a]
dropWhile :: (a -> Bool) -> [a] -> [a]
span :: (a -> Bool) -> [a] -> ([a], [a])
break :: (a -> Bool) -> [a] -> ([a], [a])
splitAt :: Int -> [a] -> ([a], [a])
notElem :: (Foldable t, Eq a) => a -> t a -> Bool
lookup :: Eq a => a -> [(a, b)] -> Maybe b
zip :: [a] -> [b] -> [(a, b)]
zip3 :: [a] -> [b] -> [c] -> [(a, b, c)]
zipWith :: (a -> b -> c) -> [a] -> [b] -> [c]
zipWith3 :: (a -> b -> c -> d) -> [a] -> [b] -> [c] -> [d]
unzip :: [(a, b)] -> ([a], [b])
unzip3 :: [(a, b, c)] -> ([a], [b], [c])
lines :: String -> [String]
words :: String -> [String]
unlines :: [String] -> String
unwords :: [String] -> String
type ShowS = String -> String
class Show a where
- showsPrec :: Int -> a -> ShowS
- show :: a -> String
- showList :: [a] -> ShowS
shows :: Show a => a -> ShowS
showChar :: Char -> ShowS
showString :: String -> ShowS
showParen :: Bool -> ShowS -> ShowS
type ReadS a = String -> [(a, String)]
class Read a where
- readsPrec :: Int -> ReadS a
- readList :: ReadS [a]
reads :: Read a => ReadS a
readParen :: Bool -> ReadS a -> ReadS a
read :: Read a => String -> a
lex :: ReadS String
data IO a
putChar :: Char -> IO ()
putStr :: String -> IO ()
putStrLn :: String -> IO ()
print :: Show a => a -> IO ()
getChar :: IO Char
getLine :: IO String
getContents :: IO String
interact :: (String -> String) -> IO ()
type FilePath = String
readFile :: FilePath -> IO String
writeFile :: FilePath -> String -> IO ()
appendFile :: FilePath -> String -> IO ()
readIO :: Read a => String -> IO a
readLn :: Read a => IO a
type IOError = IOException
ioError :: HasCallStack => IOError -> IO a
userError :: String -> IOError
class a ~# b => (a :: k) ~ (b :: k)

Standard types, classes and related functions

Basic data types

data Bool Source #

Constructors

False
True

Instances

Instances details

Bits Bool Source #

Interpret Bool as 1-bit bit-field

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Bits

Methods

(.&.) :: Bool -> Bool -> Bool Source #

(.|.) :: Bool -> Bool -> Bool Source #

xor :: Bool -> Bool -> Bool Source #

complement :: Bool -> Bool Source #

shift :: Bool -> Int -> Bool Source #

rotate :: Bool -> Int -> Bool Source #

zeroBits :: Bool Source #

bit :: Int -> Bool Source #

setBit :: Bool -> Int -> Bool Source #

clearBit :: Bool -> Int -> Bool Source #

complementBit :: Bool -> Int -> Bool Source #

testBit :: Bool -> Int -> Bool Source #

bitSizeMaybe :: Bool -> Maybe Int Source #

bitSize :: Bool -> Int Source #

isSigned :: Bool -> Bool Source #

shiftL :: Bool -> Int -> Bool Source #

unsafeShiftL :: Bool -> Int -> Bool Source #

shiftR :: Bool -> Int -> Bool Source #

unsafeShiftR :: Bool -> Int -> Bool Source #

rotateL :: Bool -> Int -> Bool Source #

rotateR :: Bool -> Int -> Bool Source #

popCount :: Bool -> Int Source #

FiniteBits Bool Source #

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Bits

Methods

finiteBitSize :: Bool -> Int Source #

countLeadingZeros :: Bool -> Int Source #

countTrailingZeros :: Bool -> Int Source #

Eq Bool Source #

Instance details

Defined in GHC.Internal.Classes

Methods

(==) :: Bool -> Bool -> Bool Source #

(/=) :: Bool -> Bool -> Bool Source #

Ord Bool Source #

Instance details

Defined in GHC.Internal.Classes

Methods

compare :: Bool -> Bool -> Ordering Source #

(<) :: Bool -> Bool -> Bool Source #

(<=) :: Bool -> Bool -> Bool Source #

(>) :: Bool -> Bool -> Bool Source #

(>=) :: Bool -> Bool -> Bool Source #

max :: Bool -> Bool -> Bool Source #

min :: Bool -> Bool -> Bool Source #

Data Bool Source #

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) -> Bool -> c Bool Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Bool Source #

toConstr :: Bool -> Constr Source #

dataTypeOf :: Bool -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Bool) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Bool) Source #

gmapT :: (forall b. Data b => b -> b) -> Bool -> Bool Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Bool -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Bool -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Bool -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Bool -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Bool -> m Bool Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Bool -> m Bool Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Bool -> m Bool Source #

Bounded Bool Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Methods

minBound :: Bool Source #

maxBound :: Bool Source #

Enum Bool Source #

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 #

Storable Bool Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Foreign.Storable

Methods

sizeOf :: Bool -> Int Source #

alignment :: Bool -> Int Source #

peekElemOff :: Ptr Bool -> Int -> IO Bool Source #

pokeElemOff :: Ptr Bool -> Int -> Bool -> IO () Source #

peekByteOff :: Ptr b -> Int -> IO Bool Source #

pokeByteOff :: Ptr b -> Int -> Bool -> IO () Source #

peek :: Ptr Bool -> IO Bool Source #

poke :: Ptr Bool -> Bool -> IO () Source #

Generic Bool Source #

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.Internal.Types" "ghc-internal" '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 #

SingKind Bool

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Associated Types

type DemoteRep Bool
Instance details Defined in GHC.Internal.Generics type DemoteRep Bool = Bool

Methods

fromSing :: forall (a :: Bool). Sing a -> DemoteRep Bool

Ix Bool Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Ix

Methods

range :: (Bool, Bool) -> [Bool] Source #

index :: (Bool, Bool) -> Bool -> Int Source #

unsafeIndex :: (Bool, Bool) -> Bool -> Int Source #

inRange :: (Bool, Bool) -> Bool -> Bool Source #

rangeSize :: (Bool, Bool) -> Int Source #

unsafeRangeSize :: (Bool, Bool) -> Int Source #

Read Bool Source #

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 #

Show Bool Source #

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 #

SingI 'False

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

sing :: Sing 'False

SingI 'True

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

sing :: Sing 'True

Lift Bool Source #

Instance details

Defined in GHC.Internal.TH.Lift

Methods

lift :: Quote m => Bool -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => Bool -> Code m Bool Source #

type DemoteRep Bool Source #

Instance details

Defined in GHC.Internal.Generics

type DemoteRep Bool = Bool

type Rep Bool Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep Bool = D1 ('MetaData "Bool" "GHC.Internal.Types" "ghc-internal" 'False) (C1 ('MetaCons "False" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "True" 'PrefixI 'False) (U1 :: Type -> Type))

data Sing (a :: Bool) Source #

Instance details

Defined in GHC.Internal.Generics

data Sing (a :: Bool) where

STrue :: Sing 'True
SFalse :: Sing 'False

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

Boolean "and", lazy in the second argument

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

Boolean "or", lazy in the second argument

not :: Bool -> Bool Source #

Boolean "not"

otherwise :: Bool Source #

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

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

data Maybe a Source #

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

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

Constructors

Nothing
Just a

Instances

Instances details

Eq1 Maybe Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftEq :: (a -> b -> Bool) -> Maybe a -> Maybe b -> Bool Source #

Ord1 Maybe Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftCompare :: (a -> b -> Ordering) -> Maybe a -> Maybe b -> Ordering Source #

Read1 Maybe Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Maybe a) Source #

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Maybe a] Source #

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Maybe a) Source #

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Maybe a] Source #

Show1 Maybe Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Maybe a -> ShowS Source #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Maybe a] -> ShowS Source #

Alternative Maybe Source #

Picks the leftmost Just value, or, alternatively, Nothing.

Since: base-2.1

Instance details

Defined in GHC.Internal.Base

Methods

empty :: Maybe a Source #

(<|>) :: Maybe a -> Maybe a -> Maybe a Source #

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

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

Applicative Maybe Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Base

Methods

pure :: a -> Maybe a Source #

(<*>) :: Maybe (a -> b) -> Maybe a -> Maybe b Source #

liftA2 :: (a -> b -> c) -> Maybe a -> Maybe b -> Maybe c Source #

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

(<*) :: Maybe a -> Maybe b -> Maybe a Source #

Functor Maybe Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Base

Methods

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

(<$) :: a -> Maybe b -> Maybe a Source #

Monad Maybe Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Base

Methods

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

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

return :: a -> Maybe a Source #

MonadPlus Maybe Source #

Picks the leftmost Just value, or, alternatively, Nothing.

Since: base-2.1

Instance details

Defined in GHC.Internal.Base

Methods

mzero :: Maybe a Source #

mplus :: Maybe a -> Maybe a -> Maybe a Source #

MonadFail Maybe Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Control.Monad.Fail

Methods

fail :: HasCallStack => String -> Maybe a Source #

MonadFix Maybe Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Control.Monad.Fix

Methods

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

MonadZip Maybe Source #

Since: ghc-internal-4.8.0.0

Instance details

Defined in GHC.Internal.Control.Monad.Zip

Methods

mzip :: Maybe a -> Maybe b -> Maybe (a, b) Source #

mzipWith :: (a -> b -> c) -> Maybe a -> Maybe b -> Maybe c Source #

munzip :: Maybe (a, b) -> (Maybe a, Maybe b) Source #

Foldable Maybe Source #

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 #

Traversable Maybe Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Data.Traversable

Methods

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

sequenceA :: Applicative f => Maybe (f a) -> f (Maybe a) Source #

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

sequence :: Monad m => Maybe (m a) -> m (Maybe a) Source #

Generic1 Maybe Source #

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 #

Lift a => Lift (Maybe a :: Type) Source #

Instance details

Defined in GHC.Internal.TH.Lift

Methods

lift :: Quote m => Maybe a -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => Maybe a -> Code m (Maybe a) Source #

Semigroup a => Monoid (Maybe a) Source #

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 #

Semigroup a => Semigroup (Maybe a) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Base

Methods

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

sconcat :: NonEmpty (Maybe a) -> Maybe a Source #

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

Eq a => Eq (Maybe a) Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Maybe

Methods

(==) :: Maybe a -> Maybe a -> Bool Source #

(/=) :: Maybe a -> Maybe a -> Bool Source #

Ord a => Ord (Maybe a) Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Maybe

Methods

compare :: Maybe a -> Maybe a -> Ordering Source #

(<) :: Maybe a -> Maybe a -> Bool Source #

(<=) :: Maybe a -> Maybe a -> Bool Source #

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

(>=) :: Maybe a -> Maybe a -> Bool Source #

max :: Maybe a -> Maybe a -> Maybe a Source #

min :: Maybe a -> Maybe a -> Maybe a Source #

Data a => Data (Maybe a) Source #

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) -> Maybe a -> c (Maybe a) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Maybe a) Source #

toConstr :: Maybe a -> Constr Source #

dataTypeOf :: Maybe a -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Maybe a)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Maybe a)) Source #

gmapT :: (forall b. Data b => b -> b) -> Maybe a -> Maybe a Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Maybe a -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Maybe a -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Maybe a -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Maybe a -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Maybe a -> m (Maybe a) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Maybe a -> m (Maybe a) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Maybe a -> m (Maybe a) Source #

Generic (Maybe a) Source #

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 #

SingKind a => SingKind (Maybe a)

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Associated Types

type DemoteRep (Maybe a)
Instance details Defined in GHC.Internal.Generics type DemoteRep (Maybe a) = Maybe (DemoteRep a)

Methods

fromSing :: forall (a0 :: Maybe a). Sing a0 -> DemoteRep (Maybe a)

Read a => Read (Maybe a) Source #

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 #

Show a => Show (Maybe a) Source #

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 #

SingI ('Nothing :: Maybe a)

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

sing :: Sing ('Nothing :: Maybe a)

SingI a2 => SingI ('Just a2 :: Maybe a1)

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

sing :: Sing ('Just a2)

type Rep1 Maybe Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 Maybe = D1 ('MetaData "Maybe" "GHC.Internal.Maybe" "ghc-internal" 'False) (C1 ('MetaCons "Nothing" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "Just" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

type DemoteRep (Maybe a) Source #

Instance details

Defined in GHC.Internal.Generics

type DemoteRep (Maybe a) = Maybe (DemoteRep a)

type Rep (Maybe a) Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep (Maybe a) = D1 ('MetaData "Maybe" "GHC.Internal.Maybe" "ghc-internal" 'False) (C1 ('MetaCons "Nothing" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "Just" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

data Sing (b :: Maybe a) Source #

Instance details

Defined in GHC.Internal.Generics

data Sing (b :: Maybe a) where

SNothing :: forall {a}. Sing ('Nothing :: Maybe a)
SJust :: forall {a} (a1 :: a). Sing a1 -> Sing ('Just a1)

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

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

Examples

Expand

Basic usage:

>>> maybe False odd (Just 3)
True

>>> maybe False odd Nothing
False

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

>>> import GHC.Internal.Text.Read ( readMaybe )
>>> maybe 0 (*2) (readMaybe "5")
10
>>> maybe 0 (*2) (readMaybe "")
0

Apply show to a Maybe Int. If we have Just n, we want to show the underlying Int n. But if we have Nothing, we return the empty string instead of (for example) "Nothing":

>>> maybe "" show (Just 5)
"5"
>>> maybe "" show Nothing
""

data Either a b Source #

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

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

Examples

Expand

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

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

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

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

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

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

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

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

>>> parseMultiple
Right 3

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

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

>>> parseMultiple
Left "parse error"

Constructors

Left a
Right b

Instances

Instances details

Bifoldable Either Source #

Since: base-4.10.0.0

Instance details

Defined in Data.Bifoldable

Methods

bifold :: Monoid m => Either m m -> m Source #

bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> Either a b -> m Source #

bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> Either a b -> c Source #

bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> Either a b -> c Source #

Bifoldable1 Either Source #

Instance details

Defined in Data.Bifoldable1

Methods

bifold1 :: Semigroup m => Either m m -> m Source #

bifoldMap1 :: Semigroup m => (a -> m) -> (b -> m) -> Either a b -> m Source #

Bifunctor Either Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Bifunctor

Methods

bimap :: (a -> b) -> (c -> d) -> Either a c -> Either b d Source #

first :: (a -> b) -> Either a c -> Either b c Source #

second :: (b -> c) -> Either a b -> Either a c Source #

Bitraversable Either Source #

Since: base-4.10.0.0

Instance details

Defined in Data.Bitraversable

Methods

bitraverse :: Applicative f => (a -> f c) -> (b -> f d) -> Either a b -> f (Either c d) Source #

Eq2 Either Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftEq2 :: (a -> b -> Bool) -> (c -> d -> Bool) -> Either a c -> Either b d -> Bool Source #

Ord2 Either Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftCompare2 :: (a -> b -> Ordering) -> (c -> d -> Ordering) -> Either a c -> Either b d -> Ordering Source #

Read2 Either Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftReadsPrec2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> Int -> ReadS (Either a b) Source #

liftReadList2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [Either a b] Source #

liftReadPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (Either a b) Source #

liftReadListPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [Either a b] Source #

Show2 Either Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftShowsPrec2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> Int -> Either a b -> ShowS Source #

liftShowList2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> [Either a b] -> ShowS Source #

Generic1 (Either a :: Type -> Type) Source #

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 #

(Lift a, Lift b) => Lift (Either a b :: Type) Source #

Instance details

Defined in GHC.Internal.TH.Lift

Methods

lift :: Quote m => Either a b -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => Either a b -> Code m (Either a b) Source #

Eq a => Eq1 (Either a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftEq :: (a0 -> b -> Bool) -> Either a a0 -> Either a b -> Bool Source #

Ord a => Ord1 (Either a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftCompare :: (a0 -> b -> Ordering) -> Either a a0 -> Either a b -> Ordering Source #

Read a => Read1 (Either a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftReadsPrec :: (Int -> ReadS a0) -> ReadS [a0] -> Int -> ReadS (Either a a0) Source #

liftReadList :: (Int -> ReadS a0) -> ReadS [a0] -> ReadS [Either a a0] Source #

liftReadPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec (Either a a0) Source #

liftReadListPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec [Either a a0] Source #

Show a => Show1 (Either a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftShowsPrec :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> Int -> Either a a0 -> ShowS Source #

liftShowList :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> [Either a a0] -> ShowS Source #

Applicative (Either e) Source #

Since: base-3.0

Instance details

Defined in GHC.Internal.Data.Either

Methods

pure :: a -> Either e a Source #

(<*>) :: Either e (a -> b) -> Either e a -> Either e b Source #

liftA2 :: (a -> b -> c) -> Either e a -> Either e b -> Either e c Source #

(*>) :: Either e a -> Either e b -> Either e b Source #

(<*) :: Either e a -> Either e b -> Either e a Source #

Functor (Either a) Source #

Since: base-3.0

Instance details

Defined in GHC.Internal.Data.Either

Methods

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

(<$) :: a0 -> Either a b -> Either a a0 Source #

Monad (Either e) Source #

Since: base-4.4.0.0

Instance details

Defined in GHC.Internal.Data.Either

Methods

(>>=) :: Either e a -> (a -> Either e b) -> Either e b Source #

(>>) :: Either e a -> Either e b -> Either e b Source #

return :: a -> Either e a Source #

MonadFix (Either e) Source #

Since: base-4.3.0.0

Instance details

Defined in GHC.Internal.Control.Monad.Fix

Methods

mfix :: (a -> Either e a) -> Either e a Source #

Foldable (Either a) Source #

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 #

Traversable (Either a) Source #

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Data.Traversable

Methods

traverse :: Applicative f => (a0 -> f b) -> Either a a0 -> f (Either a b) Source #

sequenceA :: Applicative f => Either a (f a0) -> f (Either a a0) Source #

mapM :: Monad m => (a0 -> m b) -> Either a a0 -> m (Either a b) Source #

sequence :: Monad m => Either a (m a0) -> m (Either a a0) Source #

Semigroup (Either a b) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Data.Either

Methods

(<>) :: Either a b -> Either a b -> Either a b Source #

sconcat :: NonEmpty (Either a b) -> Either a b Source #

stimes :: Integral b0 => b0 -> Either a b -> Either a b Source #

(Eq a, Eq b) => Eq (Either a b) Source #

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 #

(Ord a, Ord b) => Ord (Either a b) Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Data.Either

Methods

compare :: Either a b -> Either a b -> Ordering Source #

(<) :: Either a b -> Either a b -> Bool Source #

(<=) :: Either a b -> Either a b -> Bool Source #

(>) :: Either a b -> Either a b -> Bool Source #

(>=) :: Either a b -> Either a b -> Bool Source #

max :: Either a b -> Either a b -> Either a b Source #

min :: Either a b -> Either a b -> Either a b Source #

(Data a, Data b) => Data (Either a b) Source #

Since: base-4.0.0.0

Instance details

Defined in GHC.Internal.Data.Data

Methods

gfoldl :: (forall d b0. Data d => c (d -> b0) -> d -> c b0) -> (forall g. g -> c g) -> Either a b -> c (Either a b) Source #

gunfold :: (forall b0 r. Data b0 => c (b0 -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Either a b) Source #

toConstr :: Either a b -> Constr Source #

dataTypeOf :: Either a b -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Either a b)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Either a b)) Source #

gmapT :: (forall b0. Data b0 => b0 -> b0) -> Either a b -> Either a b Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Either a b -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Either a b -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Either a b -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Either a b -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Either a b -> m (Either a b) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Either a b -> m (Either a b) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Either a b -> m (Either a b) Source #

Generic (Either a b) Source #

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 #

(Read a, Read b) => Read (Either a b) Source #

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 #

(Show a, Show b) => Show (Either a b) Source #

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 #

type Rep1 (Either a :: Type -> Type) Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 (Either a :: Type -> Type) = D1 ('MetaData "Either" "GHC.Internal.Data.Either" "ghc-internal" 'False) (C1 ('MetaCons "Left" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)) :+: C1 ('MetaCons "Right" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

type Rep (Either a b) Source #

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)))

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

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

Examples

Expand

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

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

data Ordering Source #

Constructors

LT
EQ
GT

Instances

Instances details

Monoid Ordering Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Base

Methods

mempty :: Ordering Source #

mappend :: Ordering -> Ordering -> Ordering Source #

mconcat :: [Ordering] -> Ordering Source #

Semigroup Ordering Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Base

Methods

(<>) :: Ordering -> Ordering -> Ordering Source #

sconcat :: NonEmpty Ordering -> Ordering Source #

stimes :: Integral b => b -> Ordering -> Ordering Source #

Eq Ordering Source #

Instance details

Defined in GHC.Internal.Classes

Methods

(==) :: Ordering -> Ordering -> Bool Source #

(/=) :: Ordering -> Ordering -> Bool Source #

Ord Ordering Source #

Instance details

Defined in GHC.Internal.Classes

Methods

compare :: Ordering -> Ordering -> Ordering Source #

(<) :: Ordering -> Ordering -> Bool Source #

(<=) :: Ordering -> Ordering -> Bool Source #

(>) :: Ordering -> Ordering -> Bool Source #

(>=) :: Ordering -> Ordering -> Bool Source #

max :: Ordering -> Ordering -> Ordering Source #

min :: Ordering -> Ordering -> Ordering Source #

Data Ordering Source #

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) -> Ordering -> c Ordering Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Ordering Source #

toConstr :: Ordering -> Constr Source #

dataTypeOf :: Ordering -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Ordering) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Ordering) Source #

gmapT :: (forall b. Data b => b -> b) -> Ordering -> Ordering Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Ordering -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Ordering -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Ordering -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Ordering -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Ordering -> m Ordering Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Ordering -> m Ordering Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Ordering -> m Ordering Source #

Bounded Ordering Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Methods

minBound :: Ordering Source #

maxBound :: Ordering Source #

Enum Ordering Source #

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 #

Generic Ordering Source #

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.Internal.Types" "ghc-internal" '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 #

Ix Ordering Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Ix

Methods

range :: (Ordering, Ordering) -> [Ordering] Source #

index :: (Ordering, Ordering) -> Ordering -> Int Source #

unsafeIndex :: (Ordering, Ordering) -> Ordering -> Int Source #

inRange :: (Ordering, Ordering) -> Ordering -> Bool Source #

rangeSize :: (Ordering, Ordering) -> Int Source #

unsafeRangeSize :: (Ordering, Ordering) -> Int Source #

Read Ordering Source #

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 #

Show Ordering Source #

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 #

type Rep Ordering Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep Ordering = D1 ('MetaData "Ordering" "GHC.Internal.Types" "ghc-internal" 'False) (C1 ('MetaCons "LT" 'PrefixI 'False) (U1 :: Type -> Type) :+: (C1 ('MetaCons "EQ" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "GT" 'PrefixI 'False) (U1 :: Type -> Type)))

data Char Source #

The character type Char represents Unicode codespace and its elements are code points as in definitions D9 and D10 of the Unicode Standard.

Character literals in Haskell are single-quoted: 'Q', 'Я' or 'Ω'. To represent a single quote itself use '\'', and to represent a backslash use '\\'. The full grammar can be found in the section 2.6 of the Haskell 2010 Language Report.

To specify a character by its code point one can use decimal, hexadecimal or octal notation: '\65', '\x41' and '\o101' are all alternative forms of 'A'. The largest code point is '\x10ffff'.

There is a special escape syntax for ASCII control characters:

Escape	Alternatives	Meaning
`'\NUL'`	`'\0'`	null character
`'\SOH'`	`'\1'`	start of heading
`'\STX'`	`'\2'`	start of text
`'\ETX'`	`'\3'`	end of text
`'\EOT'`	`'\4'`	end of transmission
`'\ENQ'`	`'\5'`	enquiry
`'\ACK'`	`'\6'`	acknowledge
`'\BEL'`	`'\7'`, `'\a'`	bell (alert)
`'\BS'`	`'\8'`, `'\b'`	backspace
`'\HT'`	`'\9'`, `'\t'`	horizontal tab
`'\LF'`	`'\10'`, `'\n'`	line feed (new line)
`'\VT'`	`'\11'`, `'\v'`	vertical tab
`'\FF'`	`'\12'`, `'\f'`	form feed
`'\CR'`	`'\13'`, `'\r'`	carriage return
`'\SO'`	`'\14'`	shift out
`'\SI'`	`'\15'`	shift in
`'\DLE'`	`'\16'`	data link escape
`'\DC1'`	`'\17'`	device control 1
`'\DC2'`	`'\18'`	device control 2
`'\DC3'`	`'\19'`	device control 3
`'\DC4'`	`'\20'`	device control 4
`'\NAK'`	`'\21'`	negative acknowledge
`'\SYN'`	`'\22'`	synchronous idle
`'\ETB'`	`'\23'`	end of transmission block
`'\CAN'`	`'\24'`	cancel
`'\EM'`	`'\25'`	end of medium
`'\SUB'`	`'\26'`	substitute
`'\ESC'`	`'\27'`	escape
`'\FS'`	`'\28'`	file separator
`'\GS'`	`'\29'`	group separator
`'\RS'`	`'\30'`	record separator
`'\US'`	`'\31'`	unit separator
`'\SP'`	`'\32'`, `' '`	space
`'\DEL'`	`'\127'`	delete

Data.Char provides utilities to work with Char.

Instances

Instances details

IsChar Char Source #

Since: base-2.1

Instance details

Defined in Text.Printf

Methods

toChar :: Char -> Char Source #

fromChar :: Char -> Char Source #

PrintfArg Char Source #

Since: base-2.1

Instance details

Defined in Text.Printf

Methods

formatArg :: Char -> FieldFormatter Source #

parseFormat :: Char -> ModifierParser Source #

Eq Char Source #

Instance details

Defined in GHC.Internal.Classes

Methods

(==) :: Char -> Char -> Bool Source #

(/=) :: Char -> Char -> Bool Source #

Ord Char Source #

Instance details

Defined in GHC.Internal.Classes

Methods

compare :: Char -> Char -> Ordering Source #

(<) :: Char -> Char -> Bool Source #

(<=) :: Char -> Char -> Bool Source #

(>) :: Char -> Char -> Bool Source #

(>=) :: Char -> Char -> Bool Source #

max :: Char -> Char -> Char Source #

min :: Char -> Char -> Char Source #

Data Char Source #

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) -> Char -> c Char Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Char Source #

toConstr :: Char -> Constr Source #

dataTypeOf :: Char -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Char) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Char) Source #

gmapT :: (forall b. Data b => b -> b) -> Char -> Char Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Char -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Char -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Char -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Char -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Char -> m Char Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Char -> m Char Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Char -> m Char Source #

Bounded Char Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Methods

minBound :: Char Source #

maxBound :: Char Source #

Enum Char Source #

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 #

Storable Char Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Foreign.Storable

Methods

sizeOf :: Char -> Int Source #

alignment :: Char -> Int Source #

peekElemOff :: Ptr Char -> Int -> IO Char Source #

pokeElemOff :: Ptr Char -> Int -> Char -> IO () Source #

peekByteOff :: Ptr b -> Int -> IO Char Source #

pokeByteOff :: Ptr b -> Int -> Char -> IO () Source #

peek :: Ptr Char -> IO Char Source #

poke :: Ptr Char -> Char -> IO () Source #

Ix Char Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Ix

Methods

range :: (Char, Char) -> [Char] Source #

index :: (Char, Char) -> Char -> Int Source #

unsafeIndex :: (Char, Char) -> Char -> Int Source #

inRange :: (Char, Char) -> Char -> Bool Source #

rangeSize :: (Char, Char) -> Int Source #

unsafeRangeSize :: (Char, Char) -> Int Source #

Read Char Source #

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 #

Show Char Source #

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 #

TestCoercion SChar Source #

Since: base-4.18.0.0

Instance details

Defined in GHC.Internal.TypeLits

Methods

testCoercion :: forall (a :: Char) (b :: Char). SChar a -> SChar b -> Maybe (Coercion a b) Source #

TestEquality SChar Source #

Since: base-4.18.0.0

Instance details

Defined in GHC.Internal.TypeLits

Methods

testEquality :: forall (a :: Char) (b :: Char). SChar a -> SChar b -> Maybe (a :~: b) Source #

Lift Char Source #

Instance details

Defined in GHC.Internal.TH.Lift

Methods

lift :: Quote m => Char -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => Char -> Code m Char Source #

Generic1 (URec Char :: k -> Type) Source #

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 #

Eq1 (UChar :: Type -> Type) Source #

Since: base-4.21.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftEq :: (a -> b -> Bool) -> UChar a -> UChar b -> Bool Source #

Ord1 (UChar :: Type -> Type) Source #

Since: base-4.21.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftCompare :: (a -> b -> Ordering) -> UChar a -> UChar b -> Ordering Source #

Show1 (UChar :: Type -> Type) Source #

Since: base-4.21.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> UChar a -> ShowS Source #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [UChar a] -> ShowS Source #

Foldable (UChar :: Type -> Type) Source #

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 #

Traversable (UChar :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Data.Traversable

Methods

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

sequenceA :: Applicative f => UChar (f a) -> f (UChar a) Source #

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

sequence :: Monad m => UChar (m a) -> m (UChar a) Source #

Functor (URec Char :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

fmap :: (a -> b) -> URec Char a -> URec Char b Source #

(<$) :: a -> URec Char b -> URec Char a Source #

Eq (URec Char p) Source #

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 #

Ord (URec Char p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

compare :: URec Char p -> URec Char p -> Ordering Source #

(<) :: URec Char p -> URec Char p -> Bool Source #

(<=) :: URec Char p -> URec Char p -> Bool Source #

(>) :: URec Char p -> URec Char p -> Bool Source #

(>=) :: URec Char p -> URec Char p -> Bool Source #

max :: URec Char p -> URec Char p -> URec Char p Source #

min :: URec Char p -> URec Char p -> URec Char p Source #

Generic (URec Char p) Source #

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 #

Show (URec Char p) Source #

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 #

data URec Char (p :: k) Source #

Used for marking occurrences of Char#

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

data URec Char (p :: k) = UChar {

uChar# :: Char#

}

type Compare (a :: Char) (b :: Char) Source #

Instance details

Defined in GHC.Internal.Data.Type.Ord

type Compare (a :: Char) (b :: Char) = CmpChar a b

type Rep1 (URec Char :: k -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 (URec Char :: k -> Type) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UChar" 'PrefixI 'True) (S1 ('MetaSel ('Just "uChar#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UChar :: k -> Type)))

type Rep (URec Char p) Source #

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)))

type String = [Char] Source #

String is an alias for a list of characters.

String constants in Haskell are values of type String. That means if you write a string literal like "hello world", it will have the type [Char], which is the same as String.

Note: You can ask the compiler to automatically infer different types with the -XOverloadedStrings language extension, for example "hello world" :: Text. See IsString for more information.

Because String is just a list of characters, you can use normal list functions to do basic string manipulation. See Data.List for operations on lists.

Performance considerations

Expand

[Char] is a relatively memory-inefficient type. It is a linked list of boxed word-size characters, internally it looks something like:

╭─────┬───┬──╮  ╭─────┬───┬──╮  ╭─────┬───┬──╮  ╭────╮
│ (:) │   │ ─┼─>│ (:) │   │ ─┼─>│ (:) │   │ ─┼─>│ [] │
╰─────┴─┼─┴──╯  ╰─────┴─┼─┴──╯  ╰─────┴─┼─┴──╯  ╰────╯
        v               v               v
       'a'             'b'             'c'

The String "abc" will use 5*3+1 = 16 (in general 5n+1) words of space in memory.

Furthermore, operations like (++) (string concatenation) are O(n) (in the left argument).

For historical reasons, the base library uses String in a lot of places for the conceptual simplicity, but library code dealing with user-data should use the text package for Unicode text, or the the bytestring package for binary data.

Tuples

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

Extract the first component of a pair.

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

Extract the second component of a pair.

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

Convert an uncurried function to a curried function.

Examples

Expand

>>> curry fst 1 2
1

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

uncurry converts a curried function to a function on pairs.

Examples

Expand

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

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

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

Basic type classes

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 Source #	Since: base-4.17.0.0
Instance details Defined in Data.Array.Byte Methods (==) :: ByteArray -> ByteArray -> Bool Source # (/=) :: ByteArray -> ByteArray -> Bool Source #
Eq IoManagerFlag Source #
Instance details Defined in GHC.RTS.Flags Methods (==) :: IoManagerFlag -> IoManagerFlag -> Bool Source # (/=) :: IoManagerFlag -> IoManagerFlag -> Bool Source #
Eq Timeout Source #
Instance details Defined in System.Timeout Methods (==) :: Timeout -> Timeout -> Bool Source # (/=) :: Timeout -> Timeout -> Bool Source #
Eq Void Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Base Methods (==) :: Void -> Void -> Bool Source # (/=) :: Void -> Void -> Bool Source #
Eq BigNat Source #
Instance details Defined in GHC.Internal.Bignum.BigNat Methods (==) :: BigNat -> BigNat -> Bool Source # (/=) :: BigNat -> BigNat -> Bool Source #
Eq ByteOrder Source #	Since: base-4.11.0.0
Instance details Defined in GHC.Internal.ByteOrder Methods (==) :: ByteOrder -> ByteOrder -> Bool Source # (/=) :: ByteOrder -> ByteOrder -> Bool Source #
Eq ClosureType Source #
Instance details Defined in GHC.Internal.ClosureTypes Methods (==) :: ClosureType -> ClosureType -> Bool Source # (/=) :: ClosureType -> ClosureType -> Bool Source #
Eq BlockReason Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods (==) :: All -> All -> Bool Source # (/=) :: All -> All -> Bool Source #
Eq Any Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods (==) :: Any -> Any -> Bool Source # (/=) :: Any -> Any -> Bool Source #
Eq SomeTypeRep Source #
Instance details Defined in GHC.Internal.Data.Typeable.Internal Methods (==) :: SomeTypeRep -> SomeTypeRep -> Bool Source # (/=) :: SomeTypeRep -> SomeTypeRep -> Bool Source #
Eq Unique Source #
Instance details Defined in GHC.Internal.Data.Unique Methods (==) :: Unique -> Unique -> Bool Source # (/=) :: Unique -> Unique -> Bool Source #
Eq Version Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Data.Version Methods (==) :: Version -> Version -> Bool Source # (/=) :: Version -> Version -> Bool Source #
Eq ControlMessage Source #	Since: base-4.4.0.0
Instance details Defined in GHC.Internal.Event.Control Methods (==) :: ControlMessage -> ControlMessage -> Bool Source # (/=) :: ControlMessage -> ControlMessage -> Bool Source #
Eq Event Source #	Since: base-4.4.0.0
Instance details Defined in GHC.Internal.Event.Internal.Types Methods (==) :: Event -> Event -> Bool Source # (/=) :: Event -> Event -> Bool Source #
Eq EventLifetime Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Event.Internal.Types Methods (==) :: EventLifetime -> EventLifetime -> Bool Source # (/=) :: EventLifetime -> EventLifetime -> Bool Source #
Eq Lifetime Source #	Since: base-4.8.1.0
Instance details Defined in GHC.Internal.Event.Internal.Types Methods (==) :: Lifetime -> Lifetime -> Bool Source # (/=) :: Lifetime -> Lifetime -> Bool Source #
Eq FdKey Source #	Since: base-4.4.0.0
Instance details Defined in GHC.Internal.Event.Manager Methods (==) :: FdKey -> FdKey -> Bool Source # (/=) :: FdKey -> FdKey -> Bool Source #
Eq State Source #	Since: base-4.4.0.0
Instance details Defined in GHC.Internal.Event.Manager Methods (==) :: State -> State -> Bool Source # (/=) :: State -> State -> Bool Source #
Eq TimeoutKey Source #
Instance details Defined in GHC.Internal.Event.TimeOut Methods (==) :: TimeoutKey -> TimeoutKey -> Bool Source # (/=) :: TimeoutKey -> TimeoutKey -> Bool Source #
Eq State Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Event.TimerManager Methods (==) :: State -> State -> Bool Source # (/=) :: State -> State -> Bool Source #
Eq Unique Source #	Since: base-4.4.0.0
Instance details Defined in GHC.Internal.Event.Unique Methods (==) :: Unique -> Unique -> Bool Source # (/=) :: Unique -> Unique -> Bool Source #
Eq ErrorCall Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Exception Methods (==) :: ErrorCall -> ErrorCall -> Bool Source # (/=) :: ErrorCall -> ErrorCall -> Bool Source #
Eq ArithException Source #	Since: base-3.0
Instance details Defined in GHC.Internal.Exception.Type Methods (==) :: ArithException -> ArithException -> Bool Source # (/=) :: ArithException -> ArithException -> Bool Source #
Eq SpecConstrAnnotation Source #	Since: base-4.3.0.0
Instance details Defined in GHC.Internal.Exts Methods (==) :: SpecConstrAnnotation -> SpecConstrAnnotation -> Bool Source # (/=) :: SpecConstrAnnotation -> SpecConstrAnnotation -> Bool Source #
Eq Fingerprint Source #	Since: base-4.4.0.0
Instance details Defined in GHC.Internal.Fingerprint.Type Methods (==) :: Fingerprint -> Fingerprint -> Bool Source # (/=) :: Fingerprint -> Fingerprint -> Bool Source #
Eq Errno Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Foreign.C.Error Methods (==) :: Errno -> Errno -> Bool Source # (/=) :: Errno -> Errno -> Bool Source #
Eq CBool Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CBool -> CBool -> Bool Source # (/=) :: CBool -> CBool -> Bool Source #
Eq CChar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CChar -> CChar -> Bool Source # (/=) :: CChar -> CChar -> Bool Source #
Eq CClock Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CClock -> CClock -> Bool Source # (/=) :: CClock -> CClock -> Bool Source #
Eq CDouble Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CDouble -> CDouble -> Bool Source # (/=) :: CDouble -> CDouble -> Bool Source #
Eq CFloat Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CFloat -> CFloat -> Bool Source # (/=) :: CFloat -> CFloat -> Bool Source #
Eq CInt Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CInt -> CInt -> Bool Source # (/=) :: CInt -> CInt -> Bool Source #
Eq CIntMax Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CIntMax -> CIntMax -> Bool Source # (/=) :: CIntMax -> CIntMax -> Bool Source #
Eq CIntPtr Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CIntPtr -> CIntPtr -> Bool Source # (/=) :: CIntPtr -> CIntPtr -> Bool Source #
Eq CLLong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CLLong -> CLLong -> Bool Source # (/=) :: CLLong -> CLLong -> Bool Source #
Eq CLong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CLong -> CLong -> Bool Source # (/=) :: CLong -> CLong -> Bool Source #
Eq CPtrdiff Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CPtrdiff -> CPtrdiff -> Bool Source # (/=) :: CPtrdiff -> CPtrdiff -> Bool Source #
Eq CSChar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CSChar -> CSChar -> Bool Source # (/=) :: CSChar -> CSChar -> Bool Source #
Eq CSUSeconds Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CSUSeconds -> CSUSeconds -> Bool Source # (/=) :: CSUSeconds -> CSUSeconds -> Bool Source #
Eq CShort Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CShort -> CShort -> Bool Source # (/=) :: CShort -> CShort -> Bool Source #
Eq CSigAtomic Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CSigAtomic -> CSigAtomic -> Bool Source # (/=) :: CSigAtomic -> CSigAtomic -> Bool Source #
Eq CSize Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CSize -> CSize -> Bool Source # (/=) :: CSize -> CSize -> Bool Source #
Eq CTime Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CTime -> CTime -> Bool Source # (/=) :: CTime -> CTime -> Bool Source #
Eq CUChar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CUChar -> CUChar -> Bool Source # (/=) :: CUChar -> CUChar -> Bool Source #
Eq CUInt Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CUInt -> CUInt -> Bool Source # (/=) :: CUInt -> CUInt -> Bool Source #
Eq CUIntMax Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CUIntMax -> CUIntMax -> Bool Source # (/=) :: CUIntMax -> CUIntMax -> Bool Source #
Eq CUIntPtr Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CUIntPtr -> CUIntPtr -> Bool Source # (/=) :: CUIntPtr -> CUIntPtr -> Bool Source #
Eq CULLong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CULLong -> CULLong -> Bool Source # (/=) :: CULLong -> CULLong -> Bool Source #
Eq CULong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CULong -> CULong -> Bool Source # (/=) :: CULong -> CULong -> Bool Source #
Eq CUSeconds Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CUSeconds -> CUSeconds -> Bool Source # (/=) :: CUSeconds -> CUSeconds -> Bool Source #
Eq CUShort Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CUShort -> CUShort -> Bool Source # (/=) :: CUShort -> CUShort -> Bool Source #
Eq CWchar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (==) :: CWchar -> CWchar -> Bool Source # (/=) :: CWchar -> CWchar -> Bool Source #
Eq IntPtr Source #
Instance details Defined in GHC.Internal.Foreign.Ptr Methods (==) :: IntPtr -> IntPtr -> Bool Source # (/=) :: IntPtr -> IntPtr -> Bool Source #
Eq WordPtr Source #
Instance details Defined in GHC.Internal.Foreign.Ptr Methods (==) :: WordPtr -> WordPtr -> Bool Source # (/=) :: WordPtr -> WordPtr -> Bool Source #
Eq ForeignSrcLang Source #
Instance details Defined in GHC.Internal.ForeignSrcLang Methods (==) :: ForeignSrcLang -> ForeignSrcLang -> Bool Source # (/=) :: ForeignSrcLang -> ForeignSrcLang -> Bool Source #
Eq Associativity Source #	Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: Associativity -> Associativity -> Bool Source # (/=) :: Associativity -> Associativity -> Bool Source #
Eq DecidedStrictness Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: DecidedStrictness -> DecidedStrictness -> Bool Source # (/=) :: DecidedStrictness -> DecidedStrictness -> Bool Source #
Eq Fixity Source #	Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: Fixity -> Fixity -> Bool Source # (/=) :: Fixity -> Fixity -> Bool Source #
Eq SourceStrictness Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: SourceStrictness -> SourceStrictness -> Bool Source # (/=) :: SourceStrictness -> SourceStrictness -> Bool Source #
Eq SourceUnpackedness Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source # (/=) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source #
Eq PrimType Source #
Instance details Defined in GHC.Internal.Heap.Closures Methods (==) :: PrimType -> PrimType -> Bool Source # (/=) :: PrimType -> PrimType -> Bool Source #
Eq TsoFlags Source #
Instance details Defined in GHC.Internal.Heap.Closures Methods (==) :: TsoFlags -> TsoFlags -> Bool Source # (/=) :: TsoFlags -> TsoFlags -> Bool Source #
Eq WhatNext Source #
Instance details Defined in GHC.Internal.Heap.Closures Methods (==) :: WhatNext -> WhatNext -> Bool Source # (/=) :: WhatNext -> WhatNext -> Bool Source #
Eq WhyBlocked Source #
Instance details Defined in GHC.Internal.Heap.Closures Methods (==) :: WhyBlocked -> WhyBlocked -> Bool Source # (/=) :: WhyBlocked -> WhyBlocked -> Bool Source #
Eq HalfWord Source #
Instance details Defined in GHC.Internal.Heap.InfoTable.Types Methods (==) :: HalfWord -> HalfWord -> Bool Source # (/=) :: HalfWord -> HalfWord -> Bool Source #
Eq StgInfoTable Source #
Instance details Defined in GHC.Internal.Heap.InfoTable.Types Methods (==) :: StgInfoTable -> StgInfoTable -> Bool Source # (/=) :: StgInfoTable -> StgInfoTable -> Bool Source #
Eq CostCentre Source #
Instance details Defined in GHC.Internal.Heap.ProfInfo.Types Methods (==) :: CostCentre -> CostCentre -> Bool Source # (/=) :: CostCentre -> CostCentre -> Bool Source #
Eq CostCentreStack Source #
Instance details Defined in GHC.Internal.Heap.ProfInfo.Types Methods (==) :: CostCentreStack -> CostCentreStack -> Bool Source # (/=) :: CostCentreStack -> CostCentreStack -> Bool Source #
Eq IndexTable Source #
Instance details Defined in GHC.Internal.Heap.ProfInfo.Types Methods (==) :: IndexTable -> IndexTable -> Bool Source # (/=) :: IndexTable -> IndexTable -> Bool Source #
Eq StgTSOProfInfo Source #
Instance details Defined in GHC.Internal.Heap.ProfInfo.Types Methods (==) :: StgTSOProfInfo -> StgTSOProfInfo -> Bool Source # (/=) :: StgTSOProfInfo -> StgTSOProfInfo -> Bool Source #
Eq MaskingState Source #	Since: base-4.3.0.0
Instance details Defined in GHC.Internal.IO Methods (==) :: MaskingState -> MaskingState -> Bool Source # (/=) :: MaskingState -> MaskingState -> Bool Source #
Eq BufferState Source #	Since: base-4.2.0.0
Instance details Defined in GHC.Internal.IO.Buffer Methods (==) :: BufferState -> BufferState -> Bool Source # (/=) :: BufferState -> BufferState -> Bool Source #
Eq IODeviceType Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #
Instance details Defined in GHC.Internal.IO.Exception Methods (==) :: ExitCode -> ExitCode -> Bool Source # (/=) :: ExitCode -> ExitCode -> Bool Source #
Eq IOErrorType Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	Since: base-4.2.0.0
Instance details Defined in GHC.Internal.IO.IOMode Methods (==) :: IOMode -> IOMode -> Bool Source # (/=) :: IOMode -> IOMode -> Bool Source #
Eq IoSubSystem Source #
Instance details Defined in GHC.Internal.IO.SubSystem Methods (==) :: IoSubSystem -> IoSubSystem -> Bool Source # (/=) :: IoSubSystem -> IoSubSystem -> Bool Source #
Eq InfoProv Source #
Instance details Defined in GHC.Internal.InfoProv.Types Methods (==) :: InfoProv -> InfoProv -> Bool Source # (/=) :: InfoProv -> InfoProv -> Bool Source #
Eq Int16 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods (==) :: Int16 -> Int16 -> Bool Source # (/=) :: Int16 -> Int16 -> Bool Source #
Eq Int32 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods (==) :: Int32 -> Int32 -> Bool Source # (/=) :: Int32 -> Int32 -> Bool Source #
Eq Int64 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods (==) :: Int64 -> Int64 -> Bool Source # (/=) :: Int64 -> Int64 -> Bool Source #
Eq Int8 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods (==) :: Int8 -> Int8 -> Bool Source # (/=) :: Int8 -> Int8 -> Bool Source #
Eq Extension Source #
Instance details Defined in GHC.Internal.LanguageExtensions Methods (==) :: Extension -> Extension -> Bool Source # (/=) :: Extension -> Extension -> Bool Source #
Eq IoManagerFlag Source #
Instance details Defined in GHC.Internal.RTS.Flags Methods (==) :: IoManagerFlag -> IoManagerFlag -> Bool Source # (/=) :: IoManagerFlag -> IoManagerFlag -> Bool Source #
Eq ByteOffset Source #
Instance details Defined in GHC.Internal.Stack.Constants Methods (==) :: ByteOffset -> ByteOffset -> Bool Source # (/=) :: ByteOffset -> ByteOffset -> Bool Source #
Eq WordOffset Source #
Instance details Defined in GHC.Internal.Stack.Constants Methods (==) :: WordOffset -> WordOffset -> Bool Source # (/=) :: WordOffset -> WordOffset -> Bool Source #
Eq ByteOffset Source #
Instance details Defined in GHC.Internal.Stack.ConstantsProf Methods (==) :: ByteOffset -> ByteOffset -> Bool Source # (/=) :: ByteOffset -> ByteOffset -> Bool Source #
Eq WordOffset Source #
Instance details Defined in GHC.Internal.Stack.ConstantsProf Methods (==) :: WordOffset -> WordOffset -> Bool Source # (/=) :: WordOffset -> WordOffset -> Bool Source #
Eq StackEntry Source #
Instance details Defined in GHC.Internal.Stack.Decode Methods (==) :: StackEntry -> StackEntry -> Bool Source # (/=) :: StackEntry -> StackEntry -> Bool Source #
Eq SrcLoc Source #	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 Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CBlkCnt -> CBlkCnt -> Bool Source # (/=) :: CBlkCnt -> CBlkCnt -> Bool Source #
Eq CBlkSize Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CBlkSize -> CBlkSize -> Bool Source # (/=) :: CBlkSize -> CBlkSize -> Bool Source #
Eq CCc Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CCc -> CCc -> Bool Source # (/=) :: CCc -> CCc -> Bool Source #
Eq CClockId Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CClockId -> CClockId -> Bool Source # (/=) :: CClockId -> CClockId -> Bool Source #
Eq CDev Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CDev -> CDev -> Bool Source # (/=) :: CDev -> CDev -> Bool Source #
Eq CFsBlkCnt Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CFsBlkCnt -> CFsBlkCnt -> Bool Source # (/=) :: CFsBlkCnt -> CFsBlkCnt -> Bool Source #
Eq CFsFilCnt Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CFsFilCnt -> CFsFilCnt -> Bool Source # (/=) :: CFsFilCnt -> CFsFilCnt -> Bool Source #
Eq CGid Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CGid -> CGid -> Bool Source # (/=) :: CGid -> CGid -> Bool Source #
Eq CId Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CId -> CId -> Bool Source # (/=) :: CId -> CId -> Bool Source #
Eq CIno Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CIno -> CIno -> Bool Source # (/=) :: CIno -> CIno -> Bool Source #
Eq CKey Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CKey -> CKey -> Bool Source # (/=) :: CKey -> CKey -> Bool Source #
Eq CMode Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CMode -> CMode -> Bool Source # (/=) :: CMode -> CMode -> Bool Source #
Eq CNfds Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CNfds -> CNfds -> Bool Source # (/=) :: CNfds -> CNfds -> Bool Source #
Eq CNlink Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CNlink -> CNlink -> Bool Source # (/=) :: CNlink -> CNlink -> Bool Source #
Eq COff Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: COff -> COff -> Bool Source # (/=) :: COff -> COff -> Bool Source #
Eq CPid Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CPid -> CPid -> Bool Source # (/=) :: CPid -> CPid -> Bool Source #
Eq CRLim Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CRLim -> CRLim -> Bool Source # (/=) :: CRLim -> CRLim -> Bool Source #
Eq CSocklen Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CSocklen -> CSocklen -> Bool Source # (/=) :: CSocklen -> CSocklen -> Bool Source #
Eq CSpeed Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CSpeed -> CSpeed -> Bool Source # (/=) :: CSpeed -> CSpeed -> Bool Source #
Eq CSsize Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CSsize -> CSsize -> Bool Source # (/=) :: CSsize -> CSsize -> Bool Source #
Eq CTcflag Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CTcflag -> CTcflag -> Bool Source # (/=) :: CTcflag -> CTcflag -> Bool Source #
Eq CTimer Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CTimer -> CTimer -> Bool Source # (/=) :: CTimer -> CTimer -> Bool Source #
Eq CUid Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: CUid -> CUid -> Bool Source # (/=) :: CUid -> CUid -> Bool Source #
Eq Fd Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods (==) :: Fd -> Fd -> Bool Source # (/=) :: Fd -> Fd -> Bool Source #
Eq AnnLookup Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: AnnLookup -> AnnLookup -> Bool Source # (/=) :: AnnLookup -> AnnLookup -> Bool Source #
Eq AnnTarget Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: AnnTarget -> AnnTarget -> Bool Source # (/=) :: AnnTarget -> AnnTarget -> Bool Source #
Eq Bang Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: Bang -> Bang -> Bool Source # (/=) :: Bang -> Bang -> Bool Source #
Eq BndrVis Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: BndrVis -> BndrVis -> Bool Source # (/=) :: BndrVis -> BndrVis -> Bool Source #
Eq Body Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: Body -> Body -> Bool Source # (/=) :: Body -> Body -> Bool Source #
Eq Bytes Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: Bytes -> Bytes -> Bool Source # (/=) :: Bytes -> Bytes -> Bool Source #
Eq Callconv Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: Callconv -> Callconv -> Bool Source # (/=) :: Callconv -> Callconv -> Bool Source #
Eq Clause Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: Clause -> Clause -> Bool Source # (/=) :: Clause -> Clause -> Bool Source #
Eq Con Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: Con -> Con -> Bool Source # (/=) :: Con -> Con -> Bool Source #
Eq Dec Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: Dec -> Dec -> Bool Source # (/=) :: Dec -> Dec -> Bool Source #
Eq DecidedStrictness Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: DecidedStrictness -> DecidedStrictness -> Bool Source # (/=) :: DecidedStrictness -> DecidedStrictness -> Bool Source #
Eq DerivClause Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: DerivClause -> DerivClause -> Bool Source # (/=) :: DerivClause -> DerivClause -> Bool Source #
Eq DerivStrategy Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: DerivStrategy -> DerivStrategy -> Bool Source # (/=) :: DerivStrategy -> DerivStrategy -> Bool Source #
Eq DocLoc Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: DocLoc -> DocLoc -> Bool Source # (/=) :: DocLoc -> DocLoc -> Bool Source #
Eq Exp Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: Exp -> Exp -> Bool Source # (/=) :: Exp -> Exp -> Bool Source #
Eq FamilyResultSig Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: FamilyResultSig -> FamilyResultSig -> Bool Source # (/=) :: FamilyResultSig -> FamilyResultSig -> Bool Source #
Eq Fixity Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: Fixity -> Fixity -> Bool Source # (/=) :: Fixity -> Fixity -> Bool Source #
Eq FixityDirection Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: FixityDirection -> FixityDirection -> Bool Source # (/=) :: FixityDirection -> FixityDirection -> Bool Source #
Eq Foreign Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: Foreign -> Foreign -> Bool Source # (/=) :: Foreign -> Foreign -> Bool Source #
Eq FunDep Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: FunDep -> FunDep -> Bool Source # (/=) :: FunDep -> FunDep -> Bool Source #
Eq Guard Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: Guard -> Guard -> Bool Source # (/=) :: Guard -> Guard -> Bool Source #
Eq Info Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: Info -> Info -> Bool Source # (/=) :: Info -> Info -> Bool Source #
Eq InjectivityAnn Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: InjectivityAnn -> InjectivityAnn -> Bool Source # (/=) :: InjectivityAnn -> InjectivityAnn -> Bool Source #
Eq Inline Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: Inline -> Inline -> Bool Source # (/=) :: Inline -> Inline -> Bool Source #
Eq Lit Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: Lit -> Lit -> Bool Source # (/=) :: Lit -> Lit -> Bool Source #
Eq Loc Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: Loc -> Loc -> Bool Source # (/=) :: Loc -> Loc -> Bool Source #
Eq Match Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: Match -> Match -> Bool Source # (/=) :: Match -> Match -> Bool Source #
Eq ModName Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: ModName -> ModName -> Bool Source # (/=) :: ModName -> ModName -> Bool Source #
Eq Module Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: Module -> Module -> Bool Source # (/=) :: Module -> Module -> Bool Source #
Eq ModuleInfo Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: ModuleInfo -> ModuleInfo -> Bool Source # (/=) :: ModuleInfo -> ModuleInfo -> Bool Source #
Eq Name Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: Name -> Name -> Bool Source # (/=) :: Name -> Name -> Bool Source #
Eq NameFlavour Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: NameFlavour -> NameFlavour -> Bool Source # (/=) :: NameFlavour -> NameFlavour -> Bool Source #
Eq NameSpace Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: NameSpace -> NameSpace -> Bool Source # (/=) :: NameSpace -> NameSpace -> Bool Source #
Eq NamespaceSpecifier Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: NamespaceSpecifier -> NamespaceSpecifier -> Bool Source # (/=) :: NamespaceSpecifier -> NamespaceSpecifier -> Bool Source #
Eq OccName Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: OccName -> OccName -> Bool Source # (/=) :: OccName -> OccName -> Bool Source #
Eq Overlap Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: Overlap -> Overlap -> Bool Source # (/=) :: Overlap -> Overlap -> Bool Source #
Eq Pat Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: Pat -> Pat -> Bool Source # (/=) :: Pat -> Pat -> Bool Source #
Eq PatSynArgs Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: PatSynArgs -> PatSynArgs -> Bool Source # (/=) :: PatSynArgs -> PatSynArgs -> Bool Source #
Eq PatSynDir Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: PatSynDir -> PatSynDir -> Bool Source # (/=) :: PatSynDir -> PatSynDir -> Bool Source #
Eq Phases Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: Phases -> Phases -> Bool Source # (/=) :: Phases -> Phases -> Bool Source #
Eq PkgName Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: PkgName -> PkgName -> Bool Source # (/=) :: PkgName -> PkgName -> Bool Source #
Eq Pragma Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: Pragma -> Pragma -> Bool Source # (/=) :: Pragma -> Pragma -> Bool Source #
Eq Range Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: Range -> Range -> Bool Source # (/=) :: Range -> Range -> Bool Source #
Eq Role Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: Role -> Role -> Bool Source # (/=) :: Role -> Role -> Bool Source #
Eq RuleBndr Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: RuleBndr -> RuleBndr -> Bool Source # (/=) :: RuleBndr -> RuleBndr -> Bool Source #
Eq RuleMatch Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: RuleMatch -> RuleMatch -> Bool Source # (/=) :: RuleMatch -> RuleMatch -> Bool Source #
Eq Safety Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: Safety -> Safety -> Bool Source # (/=) :: Safety -> Safety -> Bool Source #
Eq SourceStrictness Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: SourceStrictness -> SourceStrictness -> Bool Source # (/=) :: SourceStrictness -> SourceStrictness -> Bool Source #
Eq SourceUnpackedness Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source # (/=) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source #
Eq Specificity Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: Specificity -> Specificity -> Bool Source # (/=) :: Specificity -> Specificity -> Bool Source #
Eq Stmt Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: Stmt -> Stmt -> Bool Source # (/=) :: Stmt -> Stmt -> Bool Source #
Eq TyLit Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: TyLit -> TyLit -> Bool Source # (/=) :: TyLit -> TyLit -> Bool Source #
Eq TySynEqn Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: TySynEqn -> TySynEqn -> Bool Source # (/=) :: TySynEqn -> TySynEqn -> Bool Source #
Eq Type Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: Type -> Type -> Bool Source # (/=) :: Type -> Type -> Bool Source #
Eq TypeFamilyHead Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: TypeFamilyHead -> TypeFamilyHead -> Bool Source # (/=) :: TypeFamilyHead -> TypeFamilyHead -> Bool Source #
Eq Lexeme Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Text.Read.Lex Methods (==) :: Lexeme -> Lexeme -> Bool Source # (/=) :: Lexeme -> Lexeme -> Bool Source #
Eq Number Source #	Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Text.Read.Lex Methods (==) :: Number -> Number -> Bool Source # (/=) :: Number -> Number -> Bool Source #
Eq SomeChar Source #
Instance details Defined in GHC.Internal.TypeLits Methods (==) :: SomeChar -> SomeChar -> Bool Source # (/=) :: SomeChar -> SomeChar -> Bool Source #
Eq SomeSymbol Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.TypeLits Methods (==) :: SomeSymbol -> SomeSymbol -> Bool Source # (/=) :: SomeSymbol -> SomeSymbol -> Bool Source #
Eq SomeNat Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.TypeNats Methods (==) :: SomeNat -> SomeNat -> Bool Source # (/=) :: SomeNat -> SomeNat -> Bool Source #
Eq Module Source #
Instance details Defined in GHC.Internal.Classes Methods (==) :: Module -> Module -> Bool Source # (/=) :: Module -> Module -> Bool Source #
Eq Ordering Source #
Instance details Defined in GHC.Internal.Classes Methods (==) :: Ordering -> Ordering -> Bool Source # (/=) :: Ordering -> Ordering -> Bool Source #
Eq TrName Source #
Instance details Defined in GHC.Internal.Classes Methods (==) :: TrName -> TrName -> Bool Source # (/=) :: TrName -> TrName -> Bool Source #
Eq TyCon Source #
Instance details Defined in GHC.Internal.Classes Methods (==) :: TyCon -> TyCon -> Bool Source # (/=) :: TyCon -> TyCon -> Bool Source #
Eq GeneralCategory Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Unicode Methods (==) :: GeneralCategory -> GeneralCategory -> Bool Source # (/=) :: GeneralCategory -> GeneralCategory -> Bool Source #
Eq Word16 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods (==) :: Word16 -> Word16 -> Bool Source # (/=) :: Word16 -> Word16 -> Bool Source #
Eq Word32 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods (==) :: Word32 -> Word32 -> Bool Source # (/=) :: Word32 -> Word32 -> Bool Source #
Eq Word64 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods (==) :: Word64 -> Word64 -> Bool Source # (/=) :: Word64 -> Word64 -> Bool Source #
Eq Word8 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods (==) :: Word8 -> Word8 -> Bool Source # (/=) :: Word8 -> Word8 -> Bool Source #
Eq Integer Source #
Instance details Defined in GHC.Internal.Bignum.Integer Methods (==) :: Integer -> Integer -> Bool Source # (/=) :: Integer -> Integer -> Bool Source #
Eq Natural Source #
Instance details Defined in GHC.Internal.Bignum.Natural Methods (==) :: Natural -> Natural -> Bool Source # (/=) :: Natural -> Natural -> Bool Source #
Eq () Source #
Instance details Defined in GHC.Internal.Classes Methods (==) :: () -> () -> Bool Source # (/=) :: () -> () -> Bool Source #
Eq Bool Source #
Instance details Defined in GHC.Internal.Classes Methods (==) :: Bool -> Bool -> Bool Source # (/=) :: Bool -> Bool -> Bool Source #
Eq Char Source #
Instance details Defined in GHC.Internal.Classes Methods (==) :: Char -> Char -> Bool Source # (/=) :: Char -> Char -> Bool Source #
Eq Double Source #	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.Internal.Classes Methods (==) :: Double -> Double -> Bool Source # (/=) :: Double -> Double -> Bool Source #
Eq Float Source #	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.Internal.Classes Methods (==) :: Float -> Float -> Bool Source # (/=) :: Float -> Float -> Bool Source #
Eq Int Source #
Instance details Defined in GHC.Internal.Classes Methods (==) :: Int -> Int -> Bool Source # (/=) :: Int -> Int -> Bool Source #
Eq Word Source #
Instance details Defined in GHC.Internal.Classes Methods (==) :: Word -> Word -> Bool Source # (/=) :: Word -> Word -> Bool Source #
Eq (Chan a) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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 (ConstPtr a) Source #
Instance details Defined in GHC.Internal.Foreign.C.ConstPtr Methods (==) :: ConstPtr a -> ConstPtr a -> Bool Source # (/=) :: ConstPtr a -> ConstPtr a -> Bool Source #
Eq (ForeignPtr a) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #
Instance details Defined in GHC.Internal.Ptr Methods (==) :: FunPtr a -> FunPtr a -> Bool Source # (/=) :: FunPtr a -> FunPtr a -> Bool Source #
Eq (Ptr a) Source #	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) Source #	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) Source #	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) Source #	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 flag => Eq (TyVarBndr flag) Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (==) :: TyVarBndr flag -> TyVarBndr flag -> Bool Source # (/=) :: TyVarBndr flag -> TyVarBndr flag -> Bool Source #
Eq (SChar c) Source #	Since: base-4.19.0.0
Instance details Defined in GHC.Internal.TypeLits Methods (==) :: SChar c -> SChar c -> Bool Source # (/=) :: SChar c -> SChar c -> Bool Source #
Eq (SSymbol s) Source #	Since: base-4.19.0.0
Instance details Defined in GHC.Internal.TypeLits Methods (==) :: SSymbol s -> SSymbol s -> Bool Source # (/=) :: SSymbol s -> SSymbol s -> Bool Source #
Eq (SNat n) Source #	Since: base-4.19.0.0
Instance details Defined in GHC.Internal.TypeNats Methods (==) :: SNat n -> SNat n -> Bool Source # (/=) :: SNat n -> SNat n -> Bool Source #
Eq a => Eq (Maybe a) Source #	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) Source #
Instance details Defined in GHC.Internal.Classes Methods (==) :: Solo a -> Solo a -> Bool Source # (/=) :: Solo a -> Solo a -> Bool Source #
Eq a => Eq [a] Source #
Instance details Defined in GHC.Internal.Classes Methods (==) :: [a] -> [a] -> Bool Source # (/=) :: [a] -> [a] -> Bool Source #
Eq (Fixed a) Source #	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) Source #	Note that `Arg`'s `Eq` instance does not satisfy extensionality: `>>>` `Arg 0 0 == Arg 0 1`True `>>>` `let f (Arg _ x) = x in f (Arg 0 0) == f (Arg 0 1)`False 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 #
(Ix i, Eq e) => Eq (Array i e) Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Arr Methods (==) :: Array i e -> Array i e -> Bool Source # (/=) :: Array i e -> Array i e -> Bool Source #
(Eq a, Eq b) => Eq (Either a b) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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 (IOArray i e) Source #	Since: base-4.1.0.0
Instance details Defined in GHC.Internal.IOArray Methods (==) :: IOArray i e -> IOArray i e -> Bool Source # (/=) :: IOArray i e -> IOArray i e -> Bool Source #
Eq (STRef s a) Source #	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) Source #
Instance details Defined in GHC.Internal.Classes Methods (==) :: (a, b) -> (a, b) -> Bool Source # (/=) :: (a, b) -> (a, b) -> Bool Source #
Eq (STArray s i e) Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Arr Methods (==) :: STArray s i e -> STArray s i e -> Bool Source # (/=) :: STArray s i e -> STArray s i e -> Bool Source #
Eq a => Eq (Const a b) Source #	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) Source #	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) Source #	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 (Coercion a b) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Type.Coercion Methods (==) :: Coercion a b -> Coercion a b -> Bool Source # (/=) :: Coercion a b -> Coercion a b -> Bool Source #
Eq (a :~: b) Source #	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 #
Eq (OrderingI a b) Source #
Instance details Defined in GHC.Internal.Data.Type.Ord Methods (==) :: OrderingI a b -> OrderingI a b -> Bool Source # (/=) :: OrderingI a b -> OrderingI a b -> Bool Source #
(Generic1 f, Eq (Rep1 f a)) => Eq (Generically1 f a) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #
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) Source #	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) Source #	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) Source #
Instance details Defined in GHC.Internal.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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #
Instance details Defined in GHC.Internal.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) Source #	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) Source #	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) Source #	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) Source #
Instance details Defined in GHC.Internal.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) Source #
Instance details Defined in GHC.Internal.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) Source #
Instance details Defined in GHC.Internal.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) Source #
Instance details Defined in GHC.Internal.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) Source #
Instance details Defined in GHC.Internal.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) Source #
Instance details Defined in GHC.Internal.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) Source #
Instance details Defined in GHC.Internal.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) Source #
Instance details Defined in GHC.Internal.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) Source #
Instance details Defined in GHC.Internal.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) Source #
Instance details Defined in GHC.Internal.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) Source #
Instance details Defined in GHC.Internal.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 Eq a => Ord a where Source #

The Ord class is used for totally ordered datatypes.

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

Ord, as defined by the Haskell report, implements a total order and has the following properties:

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

The following operator interactions are expected to hold:

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

Note that (7.) and (8.) do not require min and max to return either of their arguments. The result is merely required to equal one of the arguments in terms of (==). Users who expect a stronger guarantee are advised to write their own min and/or max functions.

The nuance of the above distinction is not always fully internalized by developers, and in the past (tracing back to the Haskell 1.4 Report) the specification for Ord asserted the stronger property that (min x y, max x y) = (x, y) or (y, x), or in other words, that min and max will return one of their arguments, using argument order as the tie-breaker if the arguments are equal by comparison. A few list and Foldable functions have behavior that is best understood with this assumption in mind: all variations of minimumBy and maximumBy (which can't use min and max in their implementations) are written such that minimumBy compare and maximumBy compare are respectively equivalent to minimum and maximum (which do use min and max) only if min and max adhere to this tie-breaking convention. Otherwise, if there are multiple least or largest elements in a container, minimum and maximum may not return the same one that minimumBy compare and maximumBy compare do (though they should return something that is equal). (This is relevant for types with non-extensional equality, like Arg, but also in cases where the precise reference held matters for memory-management reasons.) Unless there is a reason to deviate, it is less confusing for implementors of Ord to respect this same convention (as the default definitions of min and max do).

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

Minimal complete definition

compare | (<=)

Methods

compare :: a -> a -> Ordering Source #

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

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

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

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

max :: a -> a -> a Source #

min :: a -> a -> a Source #

Instances

Instances details

Ord ByteArray Source #	Non-lexicographic ordering. This compares the lengths of the byte arrays first and uses a lexicographic ordering if the lengths are equal. Subject to change between major versions. Since: base-4.17.0.0
Instance details Defined in Data.Array.Byte Methods compare :: ByteArray -> ByteArray -> Ordering Source # (<) :: ByteArray -> ByteArray -> Bool Source # (<=) :: ByteArray -> ByteArray -> Bool Source # (>) :: ByteArray -> ByteArray -> Bool Source # (>=) :: ByteArray -> ByteArray -> Bool Source # max :: ByteArray -> ByteArray -> ByteArray Source # min :: ByteArray -> ByteArray -> ByteArray Source #
Ord Void Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Base Methods compare :: Void -> Void -> Ordering Source # (<) :: Void -> Void -> Bool Source # (<=) :: Void -> Void -> Bool Source # (>) :: Void -> Void -> Bool Source # (>=) :: Void -> Void -> Bool Source # max :: Void -> Void -> Void Source # min :: Void -> Void -> Void Source #
Ord BigNat Source #
Instance details Defined in GHC.Internal.Bignum.BigNat Methods compare :: BigNat -> BigNat -> Ordering Source # (<) :: BigNat -> BigNat -> Bool Source # (<=) :: BigNat -> BigNat -> Bool Source # (>) :: BigNat -> BigNat -> Bool Source # (>=) :: BigNat -> BigNat -> Bool Source # max :: BigNat -> BigNat -> BigNat Source # min :: BigNat -> BigNat -> BigNat Source #
Ord ByteOrder Source #	Since: base-4.11.0.0
Instance details Defined in GHC.Internal.ByteOrder Methods compare :: ByteOrder -> ByteOrder -> Ordering Source # (<) :: ByteOrder -> ByteOrder -> Bool Source # (<=) :: ByteOrder -> ByteOrder -> Bool Source # (>) :: ByteOrder -> ByteOrder -> Bool Source # (>=) :: ByteOrder -> ByteOrder -> Bool Source # max :: ByteOrder -> ByteOrder -> ByteOrder Source # min :: ByteOrder -> ByteOrder -> ByteOrder Source #
Ord ClosureType Source #
Instance details Defined in GHC.Internal.ClosureTypes Methods compare :: ClosureType -> ClosureType -> Ordering Source # (<) :: ClosureType -> ClosureType -> Bool Source # (<=) :: ClosureType -> ClosureType -> Bool Source # (>) :: ClosureType -> ClosureType -> Bool Source # (>=) :: ClosureType -> ClosureType -> Bool Source # max :: ClosureType -> ClosureType -> ClosureType Source # min :: ClosureType -> ClosureType -> ClosureType Source #
Ord BlockReason Source #	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 #
Ord ThreadId Source #	Since: base-4.2.0.0
Instance details Defined in GHC.Internal.Conc.Sync Methods compare :: ThreadId -> ThreadId -> Ordering Source # (<) :: ThreadId -> ThreadId -> Bool Source # (<=) :: ThreadId -> ThreadId -> Bool Source # (>) :: ThreadId -> ThreadId -> Bool Source # (>=) :: ThreadId -> ThreadId -> Bool Source # max :: ThreadId -> ThreadId -> ThreadId Source # min :: ThreadId -> ThreadId -> ThreadId Source #
Ord ThreadStatus Source #	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 #
Ord All Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods compare :: All -> All -> Ordering Source # (<) :: All -> All -> Bool Source # (<=) :: All -> All -> Bool Source # (>) :: All -> All -> Bool Source # (>=) :: All -> All -> Bool Source # max :: All -> All -> All Source # min :: All -> All -> All Source #
Ord Any Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods compare :: Any -> Any -> Ordering Source # (<) :: Any -> Any -> Bool Source # (<=) :: Any -> Any -> Bool Source # (>) :: Any -> Any -> Bool Source # (>=) :: Any -> Any -> Bool Source # max :: Any -> Any -> Any Source # min :: Any -> Any -> Any Source #
Ord SomeTypeRep Source #
Instance details Defined in GHC.Internal.Data.Typeable.Internal Methods compare :: SomeTypeRep -> SomeTypeRep -> Ordering Source # (<) :: SomeTypeRep -> SomeTypeRep -> Bool Source # (<=) :: SomeTypeRep -> SomeTypeRep -> Bool Source # (>) :: SomeTypeRep -> SomeTypeRep -> Bool Source # (>=) :: SomeTypeRep -> SomeTypeRep -> Bool Source # max :: SomeTypeRep -> SomeTypeRep -> SomeTypeRep Source # min :: SomeTypeRep -> SomeTypeRep -> SomeTypeRep Source #
Ord Unique Source #
Instance details Defined in GHC.Internal.Data.Unique Methods compare :: Unique -> Unique -> Ordering Source # (<) :: Unique -> Unique -> Bool Source # (<=) :: Unique -> Unique -> Bool Source # (>) :: Unique -> Unique -> Bool Source # (>=) :: Unique -> Unique -> Bool Source # max :: Unique -> Unique -> Unique Source # min :: Unique -> Unique -> Unique Source #
Ord Version Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Data.Version Methods compare :: Version -> Version -> Ordering Source # (<) :: Version -> Version -> Bool Source # (<=) :: Version -> Version -> Bool Source # (>) :: Version -> Version -> Bool Source # (>=) :: Version -> Version -> Bool Source # max :: Version -> Version -> Version Source # min :: Version -> Version -> Version Source #
Ord TimeoutKey Source #
Instance details Defined in GHC.Internal.Event.TimeOut Methods compare :: TimeoutKey -> TimeoutKey -> Ordering Source # (<) :: TimeoutKey -> TimeoutKey -> Bool Source # (<=) :: TimeoutKey -> TimeoutKey -> Bool Source # (>) :: TimeoutKey -> TimeoutKey -> Bool Source # (>=) :: TimeoutKey -> TimeoutKey -> Bool Source # max :: TimeoutKey -> TimeoutKey -> TimeoutKey Source # min :: TimeoutKey -> TimeoutKey -> TimeoutKey Source #
Ord Unique Source #	Since: base-4.4.0.0
Instance details Defined in GHC.Internal.Event.Unique Methods compare :: Unique -> Unique -> Ordering Source # (<) :: Unique -> Unique -> Bool Source # (<=) :: Unique -> Unique -> Bool Source # (>) :: Unique -> Unique -> Bool Source # (>=) :: Unique -> Unique -> Bool Source # max :: Unique -> Unique -> Unique Source # min :: Unique -> Unique -> Unique Source #
Ord ErrorCall Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Exception Methods compare :: ErrorCall -> ErrorCall -> Ordering Source # (<) :: ErrorCall -> ErrorCall -> Bool Source # (<=) :: ErrorCall -> ErrorCall -> Bool Source # (>) :: ErrorCall -> ErrorCall -> Bool Source # (>=) :: ErrorCall -> ErrorCall -> Bool Source # max :: ErrorCall -> ErrorCall -> ErrorCall Source # min :: ErrorCall -> ErrorCall -> ErrorCall Source #
Ord ArithException Source #	Since: base-3.0
Instance details Defined in GHC.Internal.Exception.Type Methods compare :: ArithException -> ArithException -> Ordering Source # (<) :: ArithException -> ArithException -> Bool Source # (<=) :: ArithException -> ArithException -> Bool Source # (>) :: ArithException -> ArithException -> Bool Source # (>=) :: ArithException -> ArithException -> Bool Source # max :: ArithException -> ArithException -> ArithException Source # min :: ArithException -> ArithException -> ArithException Source #
Ord Fingerprint Source #	Since: base-4.4.0.0
Instance details Defined in GHC.Internal.Fingerprint.Type Methods compare :: Fingerprint -> Fingerprint -> Ordering Source # (<) :: Fingerprint -> Fingerprint -> Bool Source # (<=) :: Fingerprint -> Fingerprint -> Bool Source # (>) :: Fingerprint -> Fingerprint -> Bool Source # (>=) :: Fingerprint -> Fingerprint -> Bool Source # max :: Fingerprint -> Fingerprint -> Fingerprint Source # min :: Fingerprint -> Fingerprint -> Fingerprint Source #
Ord CBool Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CBool -> CBool -> Ordering Source # (<) :: CBool -> CBool -> Bool Source # (<=) :: CBool -> CBool -> Bool Source # (>) :: CBool -> CBool -> Bool Source # (>=) :: CBool -> CBool -> Bool Source # max :: CBool -> CBool -> CBool Source # min :: CBool -> CBool -> CBool Source #
Ord CChar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CChar -> CChar -> Ordering Source # (<) :: CChar -> CChar -> Bool Source # (<=) :: CChar -> CChar -> Bool Source # (>) :: CChar -> CChar -> Bool Source # (>=) :: CChar -> CChar -> Bool Source # max :: CChar -> CChar -> CChar Source # min :: CChar -> CChar -> CChar Source #
Ord CClock Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CClock -> CClock -> Ordering Source # (<) :: CClock -> CClock -> Bool Source # (<=) :: CClock -> CClock -> Bool Source # (>) :: CClock -> CClock -> Bool Source # (>=) :: CClock -> CClock -> Bool Source # max :: CClock -> CClock -> CClock Source # min :: CClock -> CClock -> CClock Source #
Ord CDouble Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CDouble -> CDouble -> Ordering Source # (<) :: CDouble -> CDouble -> Bool Source # (<=) :: CDouble -> CDouble -> Bool Source # (>) :: CDouble -> CDouble -> Bool Source # (>=) :: CDouble -> CDouble -> Bool Source # max :: CDouble -> CDouble -> CDouble Source # min :: CDouble -> CDouble -> CDouble Source #
Ord CFloat Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CFloat -> CFloat -> Ordering Source # (<) :: CFloat -> CFloat -> Bool Source # (<=) :: CFloat -> CFloat -> Bool Source # (>) :: CFloat -> CFloat -> Bool Source # (>=) :: CFloat -> CFloat -> Bool Source # max :: CFloat -> CFloat -> CFloat Source # min :: CFloat -> CFloat -> CFloat Source #
Ord CInt Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CInt -> CInt -> Ordering Source # (<) :: CInt -> CInt -> Bool Source # (<=) :: CInt -> CInt -> Bool Source # (>) :: CInt -> CInt -> Bool Source # (>=) :: CInt -> CInt -> Bool Source # max :: CInt -> CInt -> CInt Source # min :: CInt -> CInt -> CInt Source #
Ord CIntMax Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CIntMax -> CIntMax -> Ordering Source # (<) :: CIntMax -> CIntMax -> Bool Source # (<=) :: CIntMax -> CIntMax -> Bool Source # (>) :: CIntMax -> CIntMax -> Bool Source # (>=) :: CIntMax -> CIntMax -> Bool Source # max :: CIntMax -> CIntMax -> CIntMax Source # min :: CIntMax -> CIntMax -> CIntMax Source #
Ord CIntPtr Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CIntPtr -> CIntPtr -> Ordering Source # (<) :: CIntPtr -> CIntPtr -> Bool Source # (<=) :: CIntPtr -> CIntPtr -> Bool Source # (>) :: CIntPtr -> CIntPtr -> Bool Source # (>=) :: CIntPtr -> CIntPtr -> Bool Source # max :: CIntPtr -> CIntPtr -> CIntPtr Source # min :: CIntPtr -> CIntPtr -> CIntPtr Source #
Ord CLLong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CLLong -> CLLong -> Ordering Source # (<) :: CLLong -> CLLong -> Bool Source # (<=) :: CLLong -> CLLong -> Bool Source # (>) :: CLLong -> CLLong -> Bool Source # (>=) :: CLLong -> CLLong -> Bool Source # max :: CLLong -> CLLong -> CLLong Source # min :: CLLong -> CLLong -> CLLong Source #
Ord CLong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CLong -> CLong -> Ordering Source # (<) :: CLong -> CLong -> Bool Source # (<=) :: CLong -> CLong -> Bool Source # (>) :: CLong -> CLong -> Bool Source # (>=) :: CLong -> CLong -> Bool Source # max :: CLong -> CLong -> CLong Source # min :: CLong -> CLong -> CLong Source #
Ord CPtrdiff Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CPtrdiff -> CPtrdiff -> Ordering Source # (<) :: CPtrdiff -> CPtrdiff -> Bool Source # (<=) :: CPtrdiff -> CPtrdiff -> Bool Source # (>) :: CPtrdiff -> CPtrdiff -> Bool Source # (>=) :: CPtrdiff -> CPtrdiff -> Bool Source # max :: CPtrdiff -> CPtrdiff -> CPtrdiff Source # min :: CPtrdiff -> CPtrdiff -> CPtrdiff Source #
Ord CSChar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CSChar -> CSChar -> Ordering Source # (<) :: CSChar -> CSChar -> Bool Source # (<=) :: CSChar -> CSChar -> Bool Source # (>) :: CSChar -> CSChar -> Bool Source # (>=) :: CSChar -> CSChar -> Bool Source # max :: CSChar -> CSChar -> CSChar Source # min :: CSChar -> CSChar -> CSChar Source #
Ord CSUSeconds Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CSUSeconds -> CSUSeconds -> Ordering Source # (<) :: CSUSeconds -> CSUSeconds -> Bool Source # (<=) :: CSUSeconds -> CSUSeconds -> Bool Source # (>) :: CSUSeconds -> CSUSeconds -> Bool Source # (>=) :: CSUSeconds -> CSUSeconds -> Bool Source # max :: CSUSeconds -> CSUSeconds -> CSUSeconds Source # min :: CSUSeconds -> CSUSeconds -> CSUSeconds Source #
Ord CShort Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CShort -> CShort -> Ordering Source # (<) :: CShort -> CShort -> Bool Source # (<=) :: CShort -> CShort -> Bool Source # (>) :: CShort -> CShort -> Bool Source # (>=) :: CShort -> CShort -> Bool Source # max :: CShort -> CShort -> CShort Source # min :: CShort -> CShort -> CShort Source #
Ord CSigAtomic Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CSigAtomic -> CSigAtomic -> Ordering Source # (<) :: CSigAtomic -> CSigAtomic -> Bool Source # (<=) :: CSigAtomic -> CSigAtomic -> Bool Source # (>) :: CSigAtomic -> CSigAtomic -> Bool Source # (>=) :: CSigAtomic -> CSigAtomic -> Bool Source # max :: CSigAtomic -> CSigAtomic -> CSigAtomic Source # min :: CSigAtomic -> CSigAtomic -> CSigAtomic Source #
Ord CSize Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CSize -> CSize -> Ordering Source # (<) :: CSize -> CSize -> Bool Source # (<=) :: CSize -> CSize -> Bool Source # (>) :: CSize -> CSize -> Bool Source # (>=) :: CSize -> CSize -> Bool Source # max :: CSize -> CSize -> CSize Source # min :: CSize -> CSize -> CSize Source #
Ord CTime Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CTime -> CTime -> Ordering Source # (<) :: CTime -> CTime -> Bool Source # (<=) :: CTime -> CTime -> Bool Source # (>) :: CTime -> CTime -> Bool Source # (>=) :: CTime -> CTime -> Bool Source # max :: CTime -> CTime -> CTime Source # min :: CTime -> CTime -> CTime Source #
Ord CUChar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CUChar -> CUChar -> Ordering Source # (<) :: CUChar -> CUChar -> Bool Source # (<=) :: CUChar -> CUChar -> Bool Source # (>) :: CUChar -> CUChar -> Bool Source # (>=) :: CUChar -> CUChar -> Bool Source # max :: CUChar -> CUChar -> CUChar Source # min :: CUChar -> CUChar -> CUChar Source #
Ord CUInt Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CUInt -> CUInt -> Ordering Source # (<) :: CUInt -> CUInt -> Bool Source # (<=) :: CUInt -> CUInt -> Bool Source # (>) :: CUInt -> CUInt -> Bool Source # (>=) :: CUInt -> CUInt -> Bool Source # max :: CUInt -> CUInt -> CUInt Source # min :: CUInt -> CUInt -> CUInt Source #
Ord CUIntMax Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CUIntMax -> CUIntMax -> Ordering Source # (<) :: CUIntMax -> CUIntMax -> Bool Source # (<=) :: CUIntMax -> CUIntMax -> Bool Source # (>) :: CUIntMax -> CUIntMax -> Bool Source # (>=) :: CUIntMax -> CUIntMax -> Bool Source # max :: CUIntMax -> CUIntMax -> CUIntMax Source # min :: CUIntMax -> CUIntMax -> CUIntMax Source #
Ord CUIntPtr Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CUIntPtr -> CUIntPtr -> Ordering Source # (<) :: CUIntPtr -> CUIntPtr -> Bool Source # (<=) :: CUIntPtr -> CUIntPtr -> Bool Source # (>) :: CUIntPtr -> CUIntPtr -> Bool Source # (>=) :: CUIntPtr -> CUIntPtr -> Bool Source # max :: CUIntPtr -> CUIntPtr -> CUIntPtr Source # min :: CUIntPtr -> CUIntPtr -> CUIntPtr Source #
Ord CULLong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CULLong -> CULLong -> Ordering Source # (<) :: CULLong -> CULLong -> Bool Source # (<=) :: CULLong -> CULLong -> Bool Source # (>) :: CULLong -> CULLong -> Bool Source # (>=) :: CULLong -> CULLong -> Bool Source # max :: CULLong -> CULLong -> CULLong Source # min :: CULLong -> CULLong -> CULLong Source #
Ord CULong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CULong -> CULong -> Ordering Source # (<) :: CULong -> CULong -> Bool Source # (<=) :: CULong -> CULong -> Bool Source # (>) :: CULong -> CULong -> Bool Source # (>=) :: CULong -> CULong -> Bool Source # max :: CULong -> CULong -> CULong Source # min :: CULong -> CULong -> CULong Source #
Ord CUSeconds Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CUSeconds -> CUSeconds -> Ordering Source # (<) :: CUSeconds -> CUSeconds -> Bool Source # (<=) :: CUSeconds -> CUSeconds -> Bool Source # (>) :: CUSeconds -> CUSeconds -> Bool Source # (>=) :: CUSeconds -> CUSeconds -> Bool Source # max :: CUSeconds -> CUSeconds -> CUSeconds Source # min :: CUSeconds -> CUSeconds -> CUSeconds Source #
Ord CUShort Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CUShort -> CUShort -> Ordering Source # (<) :: CUShort -> CUShort -> Bool Source # (<=) :: CUShort -> CUShort -> Bool Source # (>) :: CUShort -> CUShort -> Bool Source # (>=) :: CUShort -> CUShort -> Bool Source # max :: CUShort -> CUShort -> CUShort Source # min :: CUShort -> CUShort -> CUShort Source #
Ord CWchar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods compare :: CWchar -> CWchar -> Ordering Source # (<) :: CWchar -> CWchar -> Bool Source # (<=) :: CWchar -> CWchar -> Bool Source # (>) :: CWchar -> CWchar -> Bool Source # (>=) :: CWchar -> CWchar -> Bool Source # max :: CWchar -> CWchar -> CWchar Source # min :: CWchar -> CWchar -> CWchar Source #
Ord IntPtr Source #
Instance details Defined in GHC.Internal.Foreign.Ptr Methods compare :: IntPtr -> IntPtr -> Ordering Source # (<) :: IntPtr -> IntPtr -> Bool Source # (<=) :: IntPtr -> IntPtr -> Bool Source # (>) :: IntPtr -> IntPtr -> Bool Source # (>=) :: IntPtr -> IntPtr -> Bool Source # max :: IntPtr -> IntPtr -> IntPtr Source # min :: IntPtr -> IntPtr -> IntPtr Source #
Ord WordPtr Source #
Instance details Defined in GHC.Internal.Foreign.Ptr Methods compare :: WordPtr -> WordPtr -> Ordering Source # (<) :: WordPtr -> WordPtr -> Bool Source # (<=) :: WordPtr -> WordPtr -> Bool Source # (>) :: WordPtr -> WordPtr -> Bool Source # (>=) :: WordPtr -> WordPtr -> Bool Source # max :: WordPtr -> WordPtr -> WordPtr Source # min :: WordPtr -> WordPtr -> WordPtr Source #
Ord Associativity Source #	Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: Associativity -> Associativity -> Ordering Source # (<) :: Associativity -> Associativity -> Bool Source # (<=) :: Associativity -> Associativity -> Bool Source # (>) :: Associativity -> Associativity -> Bool Source # (>=) :: Associativity -> Associativity -> Bool Source # max :: Associativity -> Associativity -> Associativity Source # min :: Associativity -> Associativity -> Associativity Source #
Ord DecidedStrictness Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: DecidedStrictness -> DecidedStrictness -> Ordering Source # (<) :: DecidedStrictness -> DecidedStrictness -> Bool Source # (<=) :: DecidedStrictness -> DecidedStrictness -> Bool Source # (>) :: DecidedStrictness -> DecidedStrictness -> Bool Source # (>=) :: DecidedStrictness -> DecidedStrictness -> Bool Source # max :: DecidedStrictness -> DecidedStrictness -> DecidedStrictness Source # min :: DecidedStrictness -> DecidedStrictness -> DecidedStrictness Source #
Ord Fixity Source #	Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: Fixity -> Fixity -> Ordering Source # (<) :: Fixity -> Fixity -> Bool Source # (<=) :: Fixity -> Fixity -> Bool Source # (>) :: Fixity -> Fixity -> Bool Source # (>=) :: Fixity -> Fixity -> Bool Source # max :: Fixity -> Fixity -> Fixity Source # min :: Fixity -> Fixity -> Fixity Source #
Ord SourceStrictness Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: SourceStrictness -> SourceStrictness -> Ordering Source # (<) :: SourceStrictness -> SourceStrictness -> Bool Source # (<=) :: SourceStrictness -> SourceStrictness -> Bool Source # (>) :: SourceStrictness -> SourceStrictness -> Bool Source # (>=) :: SourceStrictness -> SourceStrictness -> Bool Source # max :: SourceStrictness -> SourceStrictness -> SourceStrictness Source # min :: SourceStrictness -> SourceStrictness -> SourceStrictness Source #
Ord SourceUnpackedness Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: SourceUnpackedness -> SourceUnpackedness -> Ordering Source # (<) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source # (<=) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source # (>) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source # (>=) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source # max :: SourceUnpackedness -> SourceUnpackedness -> SourceUnpackedness Source # min :: SourceUnpackedness -> SourceUnpackedness -> SourceUnpackedness Source #
Ord PrimType Source #
Instance details Defined in GHC.Internal.Heap.Closures Methods compare :: PrimType -> PrimType -> Ordering Source # (<) :: PrimType -> PrimType -> Bool Source # (<=) :: PrimType -> PrimType -> Bool Source # (>) :: PrimType -> PrimType -> Bool Source # (>=) :: PrimType -> PrimType -> Bool Source # max :: PrimType -> PrimType -> PrimType Source # min :: PrimType -> PrimType -> PrimType Source #
Ord TsoFlags Source #
Instance details Defined in GHC.Internal.Heap.Closures Methods compare :: TsoFlags -> TsoFlags -> Ordering Source # (<) :: TsoFlags -> TsoFlags -> Bool Source # (<=) :: TsoFlags -> TsoFlags -> Bool Source # (>) :: TsoFlags -> TsoFlags -> Bool Source # (>=) :: TsoFlags -> TsoFlags -> Bool Source # max :: TsoFlags -> TsoFlags -> TsoFlags Source # min :: TsoFlags -> TsoFlags -> TsoFlags Source #
Ord WhatNext Source #
Instance details Defined in GHC.Internal.Heap.Closures Methods compare :: WhatNext -> WhatNext -> Ordering Source # (<) :: WhatNext -> WhatNext -> Bool Source # (<=) :: WhatNext -> WhatNext -> Bool Source # (>) :: WhatNext -> WhatNext -> Bool Source # (>=) :: WhatNext -> WhatNext -> Bool Source # max :: WhatNext -> WhatNext -> WhatNext Source # min :: WhatNext -> WhatNext -> WhatNext Source #
Ord WhyBlocked Source #
Instance details Defined in GHC.Internal.Heap.Closures Methods compare :: WhyBlocked -> WhyBlocked -> Ordering Source # (<) :: WhyBlocked -> WhyBlocked -> Bool Source # (<=) :: WhyBlocked -> WhyBlocked -> Bool Source # (>) :: WhyBlocked -> WhyBlocked -> Bool Source # (>=) :: WhyBlocked -> WhyBlocked -> Bool Source # max :: WhyBlocked -> WhyBlocked -> WhyBlocked Source # min :: WhyBlocked -> WhyBlocked -> WhyBlocked Source #
Ord HalfWord Source #
Instance details Defined in GHC.Internal.Heap.InfoTable.Types Methods compare :: HalfWord -> HalfWord -> Ordering Source # (<) :: HalfWord -> HalfWord -> Bool Source # (<=) :: HalfWord -> HalfWord -> Bool Source # (>) :: HalfWord -> HalfWord -> Bool Source # (>=) :: HalfWord -> HalfWord -> Bool Source # max :: HalfWord -> HalfWord -> HalfWord Source # min :: HalfWord -> HalfWord -> HalfWord Source #
Ord CostCentre Source #
Instance details Defined in GHC.Internal.Heap.ProfInfo.Types Methods compare :: CostCentre -> CostCentre -> Ordering Source # (<) :: CostCentre -> CostCentre -> Bool Source # (<=) :: CostCentre -> CostCentre -> Bool Source # (>) :: CostCentre -> CostCentre -> Bool Source # (>=) :: CostCentre -> CostCentre -> Bool Source # max :: CostCentre -> CostCentre -> CostCentre Source # min :: CostCentre -> CostCentre -> CostCentre Source #
Ord CostCentreStack Source #
Instance details Defined in GHC.Internal.Heap.ProfInfo.Types Methods compare :: CostCentreStack -> CostCentreStack -> Ordering Source # (<) :: CostCentreStack -> CostCentreStack -> Bool Source # (<=) :: CostCentreStack -> CostCentreStack -> Bool Source # (>) :: CostCentreStack -> CostCentreStack -> Bool Source # (>=) :: CostCentreStack -> CostCentreStack -> Bool Source # max :: CostCentreStack -> CostCentreStack -> CostCentreStack Source # min :: CostCentreStack -> CostCentreStack -> CostCentreStack Source #
Ord IndexTable Source #
Instance details Defined in GHC.Internal.Heap.ProfInfo.Types Methods compare :: IndexTable -> IndexTable -> Ordering Source # (<) :: IndexTable -> IndexTable -> Bool Source # (<=) :: IndexTable -> IndexTable -> Bool Source # (>) :: IndexTable -> IndexTable -> Bool Source # (>=) :: IndexTable -> IndexTable -> Bool Source # max :: IndexTable -> IndexTable -> IndexTable Source # min :: IndexTable -> IndexTable -> IndexTable Source #
Ord StgTSOProfInfo Source #
Instance details Defined in GHC.Internal.Heap.ProfInfo.Types Methods compare :: StgTSOProfInfo -> StgTSOProfInfo -> Ordering Source # (<) :: StgTSOProfInfo -> StgTSOProfInfo -> Bool Source # (<=) :: StgTSOProfInfo -> StgTSOProfInfo -> Bool Source # (>) :: StgTSOProfInfo -> StgTSOProfInfo -> Bool Source # (>=) :: StgTSOProfInfo -> StgTSOProfInfo -> Bool Source # max :: StgTSOProfInfo -> StgTSOProfInfo -> StgTSOProfInfo Source # min :: StgTSOProfInfo -> StgTSOProfInfo -> StgTSOProfInfo Source #
Ord SeekMode Source #	Since: base-4.2.0.0
Instance details Defined in GHC.Internal.IO.Device Methods compare :: SeekMode -> SeekMode -> Ordering Source # (<) :: SeekMode -> SeekMode -> Bool Source # (<=) :: SeekMode -> SeekMode -> Bool Source # (>) :: SeekMode -> SeekMode -> Bool Source # (>=) :: SeekMode -> SeekMode -> Bool Source # max :: SeekMode -> SeekMode -> SeekMode Source # min :: SeekMode -> SeekMode -> SeekMode Source #
Ord ArrayException Source #	Since: base-4.2.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods compare :: ArrayException -> ArrayException -> Ordering Source # (<) :: ArrayException -> ArrayException -> Bool Source # (<=) :: ArrayException -> ArrayException -> Bool Source # (>) :: ArrayException -> ArrayException -> Bool Source # (>=) :: ArrayException -> ArrayException -> Bool Source # max :: ArrayException -> ArrayException -> ArrayException Source # min :: ArrayException -> ArrayException -> ArrayException Source #
Ord AsyncException Source #	Since: base-4.2.0.0
Instance details Defined in GHC.Internal.IO.Exception Methods compare :: AsyncException -> AsyncException -> Ordering Source # (<) :: AsyncException -> AsyncException -> Bool Source # (<=) :: AsyncException -> AsyncException -> Bool Source # (>) :: AsyncException -> AsyncException -> Bool Source # (>=) :: AsyncException -> AsyncException -> Bool Source # max :: AsyncException -> AsyncException -> AsyncException Source # min :: AsyncException -> AsyncException -> AsyncException Source #
Ord ExitCode Source #
Instance details Defined in GHC.Internal.IO.Exception Methods compare :: ExitCode -> ExitCode -> Ordering Source # (<) :: ExitCode -> ExitCode -> Bool Source # (<=) :: ExitCode -> ExitCode -> Bool Source # (>) :: ExitCode -> ExitCode -> Bool Source # (>=) :: ExitCode -> ExitCode -> Bool Source # max :: ExitCode -> ExitCode -> ExitCode Source # min :: ExitCode -> ExitCode -> ExitCode Source #
Ord BufferMode Source #	Since: base-4.2.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods compare :: BufferMode -> BufferMode -> Ordering Source # (<) :: BufferMode -> BufferMode -> Bool Source # (<=) :: BufferMode -> BufferMode -> Bool Source # (>) :: BufferMode -> BufferMode -> Bool Source # (>=) :: BufferMode -> BufferMode -> Bool Source # max :: BufferMode -> BufferMode -> BufferMode Source # min :: BufferMode -> BufferMode -> BufferMode Source #
Ord Newline Source #	Since: base-4.3.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods compare :: Newline -> Newline -> Ordering Source # (<) :: Newline -> Newline -> Bool Source # (<=) :: Newline -> Newline -> Bool Source # (>) :: Newline -> Newline -> Bool Source # (>=) :: Newline -> Newline -> Bool Source # max :: Newline -> Newline -> Newline Source # min :: Newline -> Newline -> Newline Source #
Ord NewlineMode Source #	Since: base-4.3.0.0
Instance details Defined in GHC.Internal.IO.Handle.Types Methods compare :: NewlineMode -> NewlineMode -> Ordering Source # (<) :: NewlineMode -> NewlineMode -> Bool Source # (<=) :: NewlineMode -> NewlineMode -> Bool Source # (>) :: NewlineMode -> NewlineMode -> Bool Source # (>=) :: NewlineMode -> NewlineMode -> Bool Source # max :: NewlineMode -> NewlineMode -> NewlineMode Source # min :: NewlineMode -> NewlineMode -> NewlineMode Source #
Ord IOMode Source #	Since: base-4.2.0.0
Instance details Defined in GHC.Internal.IO.IOMode Methods compare :: IOMode -> IOMode -> Ordering Source # (<) :: IOMode -> IOMode -> Bool Source # (<=) :: IOMode -> IOMode -> Bool Source # (>) :: IOMode -> IOMode -> Bool Source # (>=) :: IOMode -> IOMode -> Bool Source # max :: IOMode -> IOMode -> IOMode Source # min :: IOMode -> IOMode -> IOMode Source #
Ord Int16 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods compare :: Int16 -> Int16 -> Ordering Source # (<) :: Int16 -> Int16 -> Bool Source # (<=) :: Int16 -> Int16 -> Bool Source # (>) :: Int16 -> Int16 -> Bool Source # (>=) :: Int16 -> Int16 -> Bool Source # max :: Int16 -> Int16 -> Int16 Source # min :: Int16 -> Int16 -> Int16 Source #
Ord Int32 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods compare :: Int32 -> Int32 -> Ordering Source # (<) :: Int32 -> Int32 -> Bool Source # (<=) :: Int32 -> Int32 -> Bool Source # (>) :: Int32 -> Int32 -> Bool Source # (>=) :: Int32 -> Int32 -> Bool Source # max :: Int32 -> Int32 -> Int32 Source # min :: Int32 -> Int32 -> Int32 Source #
Ord Int64 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods compare :: Int64 -> Int64 -> Ordering Source # (<) :: Int64 -> Int64 -> Bool Source # (<=) :: Int64 -> Int64 -> Bool Source # (>) :: Int64 -> Int64 -> Bool Source # (>=) :: Int64 -> Int64 -> Bool Source # max :: Int64 -> Int64 -> Int64 Source # min :: Int64 -> Int64 -> Int64 Source #
Ord Int8 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods compare :: Int8 -> Int8 -> Ordering Source # (<) :: Int8 -> Int8 -> Bool Source # (<=) :: Int8 -> Int8 -> Bool Source # (>) :: Int8 -> Int8 -> Bool Source # (>=) :: Int8 -> Int8 -> Bool Source # max :: Int8 -> Int8 -> Int8 Source # min :: Int8 -> Int8 -> Int8 Source #
Ord Extension Source #
Instance details Defined in GHC.Internal.LanguageExtensions Methods compare :: Extension -> Extension -> Ordering Source # (<) :: Extension -> Extension -> Bool Source # (<=) :: Extension -> Extension -> Bool Source # (>) :: Extension -> Extension -> Bool Source # (>=) :: Extension -> Extension -> Bool Source # max :: Extension -> Extension -> Extension Source # min :: Extension -> Extension -> Extension Source #
Ord ByteOffset Source #
Instance details Defined in GHC.Internal.Stack.Constants Methods compare :: ByteOffset -> ByteOffset -> Ordering Source # (<) :: ByteOffset -> ByteOffset -> Bool Source # (<=) :: ByteOffset -> ByteOffset -> Bool Source # (>) :: ByteOffset -> ByteOffset -> Bool Source # (>=) :: ByteOffset -> ByteOffset -> Bool Source # max :: ByteOffset -> ByteOffset -> ByteOffset Source # min :: ByteOffset -> ByteOffset -> ByteOffset Source #
Ord WordOffset Source #
Instance details Defined in GHC.Internal.Stack.Constants Methods compare :: WordOffset -> WordOffset -> Ordering Source # (<) :: WordOffset -> WordOffset -> Bool Source # (<=) :: WordOffset -> WordOffset -> Bool Source # (>) :: WordOffset -> WordOffset -> Bool Source # (>=) :: WordOffset -> WordOffset -> Bool Source # max :: WordOffset -> WordOffset -> WordOffset Source # min :: WordOffset -> WordOffset -> WordOffset Source #
Ord ByteOffset Source #
Instance details Defined in GHC.Internal.Stack.ConstantsProf Methods compare :: ByteOffset -> ByteOffset -> Ordering Source # (<) :: ByteOffset -> ByteOffset -> Bool Source # (<=) :: ByteOffset -> ByteOffset -> Bool Source # (>) :: ByteOffset -> ByteOffset -> Bool Source # (>=) :: ByteOffset -> ByteOffset -> Bool Source # max :: ByteOffset -> ByteOffset -> ByteOffset Source # min :: ByteOffset -> ByteOffset -> ByteOffset Source #
Ord WordOffset Source #
Instance details Defined in GHC.Internal.Stack.ConstantsProf Methods compare :: WordOffset -> WordOffset -> Ordering Source # (<) :: WordOffset -> WordOffset -> Bool Source # (<=) :: WordOffset -> WordOffset -> Bool Source # (>) :: WordOffset -> WordOffset -> Bool Source # (>=) :: WordOffset -> WordOffset -> Bool Source # max :: WordOffset -> WordOffset -> WordOffset Source # min :: WordOffset -> WordOffset -> WordOffset Source #
Ord CBlkCnt Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods compare :: CBlkCnt -> CBlkCnt -> Ordering Source # (<) :: CBlkCnt -> CBlkCnt -> Bool Source # (<=) :: CBlkCnt -> CBlkCnt -> Bool Source # (>) :: CBlkCnt -> CBlkCnt -> Bool Source # (>=) :: CBlkCnt -> CBlkCnt -> Bool Source # max :: CBlkCnt -> CBlkCnt -> CBlkCnt Source # min :: CBlkCnt -> CBlkCnt -> CBlkCnt Source #
Ord CBlkSize Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods compare :: CBlkSize -> CBlkSize -> Ordering Source # (<) :: CBlkSize -> CBlkSize -> Bool Source # (<=) :: CBlkSize -> CBlkSize -> Bool Source # (>) :: CBlkSize -> CBlkSize -> Bool Source # (>=) :: CBlkSize -> CBlkSize -> Bool Source # max :: CBlkSize -> CBlkSize -> CBlkSize Source # min :: CBlkSize -> CBlkSize -> CBlkSize Source #
Ord CCc Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods compare :: CCc -> CCc -> Ordering Source # (<) :: CCc -> CCc -> Bool Source # (<=) :: CCc -> CCc -> Bool Source # (>) :: CCc -> CCc -> Bool Source # (>=) :: CCc -> CCc -> Bool Source # max :: CCc -> CCc -> CCc Source # min :: CCc -> CCc -> CCc Source #
Ord CClockId Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods compare :: CClockId -> CClockId -> Ordering Source # (<) :: CClockId -> CClockId -> Bool Source # (<=) :: CClockId -> CClockId -> Bool Source # (>) :: CClockId -> CClockId -> Bool Source # (>=) :: CClockId -> CClockId -> Bool Source # max :: CClockId -> CClockId -> CClockId Source # min :: CClockId -> CClockId -> CClockId Source #
Ord CDev Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods compare :: CDev -> CDev -> Ordering Source # (<) :: CDev -> CDev -> Bool Source # (<=) :: CDev -> CDev -> Bool Source # (>) :: CDev -> CDev -> Bool Source # (>=) :: CDev -> CDev -> Bool Source # max :: CDev -> CDev -> CDev Source # min :: CDev -> CDev -> CDev Source #
Ord CFsBlkCnt Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods compare :: CFsBlkCnt -> CFsBlkCnt -> Ordering Source # (<) :: CFsBlkCnt -> CFsBlkCnt -> Bool Source # (<=) :: CFsBlkCnt -> CFsBlkCnt -> Bool Source # (>) :: CFsBlkCnt -> CFsBlkCnt -> Bool Source # (>=) :: CFsBlkCnt -> CFsBlkCnt -> Bool Source # max :: CFsBlkCnt -> CFsBlkCnt -> CFsBlkCnt Source # min :: CFsBlkCnt -> CFsBlkCnt -> CFsBlkCnt Source #
Ord CFsFilCnt Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods compare :: CFsFilCnt -> CFsFilCnt -> Ordering Source # (<) :: CFsFilCnt -> CFsFilCnt -> Bool Source # (<=) :: CFsFilCnt -> CFsFilCnt -> Bool Source # (>) :: CFsFilCnt -> CFsFilCnt -> Bool Source # (>=) :: CFsFilCnt -> CFsFilCnt -> Bool Source # max :: CFsFilCnt -> CFsFilCnt -> CFsFilCnt Source # min :: CFsFilCnt -> CFsFilCnt -> CFsFilCnt Source #
Ord CGid Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods compare :: CGid -> CGid -> Ordering Source # (<) :: CGid -> CGid -> Bool Source # (<=) :: CGid -> CGid -> Bool Source # (>) :: CGid -> CGid -> Bool Source # (>=) :: CGid -> CGid -> Bool Source # max :: CGid -> CGid -> CGid Source # min :: CGid -> CGid -> CGid Source #
Ord CId Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods compare :: CId -> CId -> Ordering Source # (<) :: CId -> CId -> Bool Source # (<=) :: CId -> CId -> Bool Source # (>) :: CId -> CId -> Bool Source # (>=) :: CId -> CId -> Bool Source # max :: CId -> CId -> CId Source # min :: CId -> CId -> CId Source #
Ord CIno Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods compare :: CIno -> CIno -> Ordering Source # (<) :: CIno -> CIno -> Bool Source # (<=) :: CIno -> CIno -> Bool Source # (>) :: CIno -> CIno -> Bool Source # (>=) :: CIno -> CIno -> Bool Source # max :: CIno -> CIno -> CIno Source # min :: CIno -> CIno -> CIno Source #
Ord CKey Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods compare :: CKey -> CKey -> Ordering Source # (<) :: CKey -> CKey -> Bool Source # (<=) :: CKey -> CKey -> Bool Source # (>) :: CKey -> CKey -> Bool Source # (>=) :: CKey -> CKey -> Bool Source # max :: CKey -> CKey -> CKey Source # min :: CKey -> CKey -> CKey Source #
Ord CMode Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods compare :: CMode -> CMode -> Ordering Source # (<) :: CMode -> CMode -> Bool Source # (<=) :: CMode -> CMode -> Bool Source # (>) :: CMode -> CMode -> Bool Source # (>=) :: CMode -> CMode -> Bool Source # max :: CMode -> CMode -> CMode Source # min :: CMode -> CMode -> CMode Source #
Ord CNfds Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods compare :: CNfds -> CNfds -> Ordering Source # (<) :: CNfds -> CNfds -> Bool Source # (<=) :: CNfds -> CNfds -> Bool Source # (>) :: CNfds -> CNfds -> Bool Source # (>=) :: CNfds -> CNfds -> Bool Source # max :: CNfds -> CNfds -> CNfds Source # min :: CNfds -> CNfds -> CNfds Source #
Ord CNlink Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods compare :: CNlink -> CNlink -> Ordering Source # (<) :: CNlink -> CNlink -> Bool Source # (<=) :: CNlink -> CNlink -> Bool Source # (>) :: CNlink -> CNlink -> Bool Source # (>=) :: CNlink -> CNlink -> Bool Source # max :: CNlink -> CNlink -> CNlink Source # min :: CNlink -> CNlink -> CNlink Source #
Ord COff Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods compare :: COff -> COff -> Ordering Source # (<) :: COff -> COff -> Bool Source # (<=) :: COff -> COff -> Bool Source # (>) :: COff -> COff -> Bool Source # (>=) :: COff -> COff -> Bool Source # max :: COff -> COff -> COff Source # min :: COff -> COff -> COff Source #
Ord CPid Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods compare :: CPid -> CPid -> Ordering Source # (<) :: CPid -> CPid -> Bool Source # (<=) :: CPid -> CPid -> Bool Source # (>) :: CPid -> CPid -> Bool Source # (>=) :: CPid -> CPid -> Bool Source # max :: CPid -> CPid -> CPid Source # min :: CPid -> CPid -> CPid Source #
Ord CRLim Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods compare :: CRLim -> CRLim -> Ordering Source # (<) :: CRLim -> CRLim -> Bool Source # (<=) :: CRLim -> CRLim -> Bool Source # (>) :: CRLim -> CRLim -> Bool Source # (>=) :: CRLim -> CRLim -> Bool Source # max :: CRLim -> CRLim -> CRLim Source # min :: CRLim -> CRLim -> CRLim Source #
Ord CSocklen Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods compare :: CSocklen -> CSocklen -> Ordering Source # (<) :: CSocklen -> CSocklen -> Bool Source # (<=) :: CSocklen -> CSocklen -> Bool Source # (>) :: CSocklen -> CSocklen -> Bool Source # (>=) :: CSocklen -> CSocklen -> Bool Source # max :: CSocklen -> CSocklen -> CSocklen Source # min :: CSocklen -> CSocklen -> CSocklen Source #
Ord CSpeed Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods compare :: CSpeed -> CSpeed -> Ordering Source # (<) :: CSpeed -> CSpeed -> Bool Source # (<=) :: CSpeed -> CSpeed -> Bool Source # (>) :: CSpeed -> CSpeed -> Bool Source # (>=) :: CSpeed -> CSpeed -> Bool Source # max :: CSpeed -> CSpeed -> CSpeed Source # min :: CSpeed -> CSpeed -> CSpeed Source #
Ord CSsize Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods compare :: CSsize -> CSsize -> Ordering Source # (<) :: CSsize -> CSsize -> Bool Source # (<=) :: CSsize -> CSsize -> Bool Source # (>) :: CSsize -> CSsize -> Bool Source # (>=) :: CSsize -> CSsize -> Bool Source # max :: CSsize -> CSsize -> CSsize Source # min :: CSsize -> CSsize -> CSsize Source #
Ord CTcflag Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods compare :: CTcflag -> CTcflag -> Ordering Source # (<) :: CTcflag -> CTcflag -> Bool Source # (<=) :: CTcflag -> CTcflag -> Bool Source # (>) :: CTcflag -> CTcflag -> Bool Source # (>=) :: CTcflag -> CTcflag -> Bool Source # max :: CTcflag -> CTcflag -> CTcflag Source # min :: CTcflag -> CTcflag -> CTcflag Source #
Ord CTimer Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods compare :: CTimer -> CTimer -> Ordering Source # (<) :: CTimer -> CTimer -> Bool Source # (<=) :: CTimer -> CTimer -> Bool Source # (>) :: CTimer -> CTimer -> Bool Source # (>=) :: CTimer -> CTimer -> Bool Source # max :: CTimer -> CTimer -> CTimer Source # min :: CTimer -> CTimer -> CTimer Source #
Ord CUid Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods compare :: CUid -> CUid -> Ordering Source # (<) :: CUid -> CUid -> Bool Source # (<=) :: CUid -> CUid -> Bool Source # (>) :: CUid -> CUid -> Bool Source # (>=) :: CUid -> CUid -> Bool Source # max :: CUid -> CUid -> CUid Source # min :: CUid -> CUid -> CUid Source #
Ord Fd Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods compare :: Fd -> Fd -> Ordering Source # (<) :: Fd -> Fd -> Bool Source # (<=) :: Fd -> Fd -> Bool Source # (>) :: Fd -> Fd -> Bool Source # (>=) :: Fd -> Fd -> Bool Source # max :: Fd -> Fd -> Fd Source # min :: Fd -> Fd -> Fd Source #
Ord AnnLookup Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: AnnLookup -> AnnLookup -> Ordering Source # (<) :: AnnLookup -> AnnLookup -> Bool Source # (<=) :: AnnLookup -> AnnLookup -> Bool Source # (>) :: AnnLookup -> AnnLookup -> Bool Source # (>=) :: AnnLookup -> AnnLookup -> Bool Source # max :: AnnLookup -> AnnLookup -> AnnLookup Source # min :: AnnLookup -> AnnLookup -> AnnLookup Source #
Ord AnnTarget Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: AnnTarget -> AnnTarget -> Ordering Source # (<) :: AnnTarget -> AnnTarget -> Bool Source # (<=) :: AnnTarget -> AnnTarget -> Bool Source # (>) :: AnnTarget -> AnnTarget -> Bool Source # (>=) :: AnnTarget -> AnnTarget -> Bool Source # max :: AnnTarget -> AnnTarget -> AnnTarget Source # min :: AnnTarget -> AnnTarget -> AnnTarget Source #
Ord Bang Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: Bang -> Bang -> Ordering Source # (<) :: Bang -> Bang -> Bool Source # (<=) :: Bang -> Bang -> Bool Source # (>) :: Bang -> Bang -> Bool Source # (>=) :: Bang -> Bang -> Bool Source # max :: Bang -> Bang -> Bang Source # min :: Bang -> Bang -> Bang Source #
Ord BndrVis Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: BndrVis -> BndrVis -> Ordering Source # (<) :: BndrVis -> BndrVis -> Bool Source # (<=) :: BndrVis -> BndrVis -> Bool Source # (>) :: BndrVis -> BndrVis -> Bool Source # (>=) :: BndrVis -> BndrVis -> Bool Source # max :: BndrVis -> BndrVis -> BndrVis Source # min :: BndrVis -> BndrVis -> BndrVis Source #
Ord Body Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: Body -> Body -> Ordering Source # (<) :: Body -> Body -> Bool Source # (<=) :: Body -> Body -> Bool Source # (>) :: Body -> Body -> Bool Source # (>=) :: Body -> Body -> Bool Source # max :: Body -> Body -> Body Source # min :: Body -> Body -> Body Source #
Ord Bytes Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: Bytes -> Bytes -> Ordering Source # (<) :: Bytes -> Bytes -> Bool Source # (<=) :: Bytes -> Bytes -> Bool Source # (>) :: Bytes -> Bytes -> Bool Source # (>=) :: Bytes -> Bytes -> Bool Source # max :: Bytes -> Bytes -> Bytes Source # min :: Bytes -> Bytes -> Bytes Source #
Ord Callconv Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: Callconv -> Callconv -> Ordering Source # (<) :: Callconv -> Callconv -> Bool Source # (<=) :: Callconv -> Callconv -> Bool Source # (>) :: Callconv -> Callconv -> Bool Source # (>=) :: Callconv -> Callconv -> Bool Source # max :: Callconv -> Callconv -> Callconv Source # min :: Callconv -> Callconv -> Callconv Source #
Ord Clause Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: Clause -> Clause -> Ordering Source # (<) :: Clause -> Clause -> Bool Source # (<=) :: Clause -> Clause -> Bool Source # (>) :: Clause -> Clause -> Bool Source # (>=) :: Clause -> Clause -> Bool Source # max :: Clause -> Clause -> Clause Source # min :: Clause -> Clause -> Clause Source #
Ord Con Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: Con -> Con -> Ordering Source # (<) :: Con -> Con -> Bool Source # (<=) :: Con -> Con -> Bool Source # (>) :: Con -> Con -> Bool Source # (>=) :: Con -> Con -> Bool Source # max :: Con -> Con -> Con Source # min :: Con -> Con -> Con Source #
Ord Dec Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: Dec -> Dec -> Ordering Source # (<) :: Dec -> Dec -> Bool Source # (<=) :: Dec -> Dec -> Bool Source # (>) :: Dec -> Dec -> Bool Source # (>=) :: Dec -> Dec -> Bool Source # max :: Dec -> Dec -> Dec Source # min :: Dec -> Dec -> Dec Source #
Ord DecidedStrictness Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: DecidedStrictness -> DecidedStrictness -> Ordering Source # (<) :: DecidedStrictness -> DecidedStrictness -> Bool Source # (<=) :: DecidedStrictness -> DecidedStrictness -> Bool Source # (>) :: DecidedStrictness -> DecidedStrictness -> Bool Source # (>=) :: DecidedStrictness -> DecidedStrictness -> Bool Source # max :: DecidedStrictness -> DecidedStrictness -> DecidedStrictness Source # min :: DecidedStrictness -> DecidedStrictness -> DecidedStrictness Source #
Ord DerivClause Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: DerivClause -> DerivClause -> Ordering Source # (<) :: DerivClause -> DerivClause -> Bool Source # (<=) :: DerivClause -> DerivClause -> Bool Source # (>) :: DerivClause -> DerivClause -> Bool Source # (>=) :: DerivClause -> DerivClause -> Bool Source # max :: DerivClause -> DerivClause -> DerivClause Source # min :: DerivClause -> DerivClause -> DerivClause Source #
Ord DerivStrategy Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: DerivStrategy -> DerivStrategy -> Ordering Source # (<) :: DerivStrategy -> DerivStrategy -> Bool Source # (<=) :: DerivStrategy -> DerivStrategy -> Bool Source # (>) :: DerivStrategy -> DerivStrategy -> Bool Source # (>=) :: DerivStrategy -> DerivStrategy -> Bool Source # max :: DerivStrategy -> DerivStrategy -> DerivStrategy Source # min :: DerivStrategy -> DerivStrategy -> DerivStrategy Source #
Ord DocLoc Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: DocLoc -> DocLoc -> Ordering Source # (<) :: DocLoc -> DocLoc -> Bool Source # (<=) :: DocLoc -> DocLoc -> Bool Source # (>) :: DocLoc -> DocLoc -> Bool Source # (>=) :: DocLoc -> DocLoc -> Bool Source # max :: DocLoc -> DocLoc -> DocLoc Source # min :: DocLoc -> DocLoc -> DocLoc Source #
Ord Exp Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: Exp -> Exp -> Ordering Source # (<) :: Exp -> Exp -> Bool Source # (<=) :: Exp -> Exp -> Bool Source # (>) :: Exp -> Exp -> Bool Source # (>=) :: Exp -> Exp -> Bool Source # max :: Exp -> Exp -> Exp Source # min :: Exp -> Exp -> Exp Source #
Ord FamilyResultSig Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: FamilyResultSig -> FamilyResultSig -> Ordering Source # (<) :: FamilyResultSig -> FamilyResultSig -> Bool Source # (<=) :: FamilyResultSig -> FamilyResultSig -> Bool Source # (>) :: FamilyResultSig -> FamilyResultSig -> Bool Source # (>=) :: FamilyResultSig -> FamilyResultSig -> Bool Source # max :: FamilyResultSig -> FamilyResultSig -> FamilyResultSig Source # min :: FamilyResultSig -> FamilyResultSig -> FamilyResultSig Source #
Ord Fixity Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: Fixity -> Fixity -> Ordering Source # (<) :: Fixity -> Fixity -> Bool Source # (<=) :: Fixity -> Fixity -> Bool Source # (>) :: Fixity -> Fixity -> Bool Source # (>=) :: Fixity -> Fixity -> Bool Source # max :: Fixity -> Fixity -> Fixity Source # min :: Fixity -> Fixity -> Fixity Source #
Ord FixityDirection Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: FixityDirection -> FixityDirection -> Ordering Source # (<) :: FixityDirection -> FixityDirection -> Bool Source # (<=) :: FixityDirection -> FixityDirection -> Bool Source # (>) :: FixityDirection -> FixityDirection -> Bool Source # (>=) :: FixityDirection -> FixityDirection -> Bool Source # max :: FixityDirection -> FixityDirection -> FixityDirection Source # min :: FixityDirection -> FixityDirection -> FixityDirection Source #
Ord Foreign Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: Foreign -> Foreign -> Ordering Source # (<) :: Foreign -> Foreign -> Bool Source # (<=) :: Foreign -> Foreign -> Bool Source # (>) :: Foreign -> Foreign -> Bool Source # (>=) :: Foreign -> Foreign -> Bool Source # max :: Foreign -> Foreign -> Foreign Source # min :: Foreign -> Foreign -> Foreign Source #
Ord FunDep Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: FunDep -> FunDep -> Ordering Source # (<) :: FunDep -> FunDep -> Bool Source # (<=) :: FunDep -> FunDep -> Bool Source # (>) :: FunDep -> FunDep -> Bool Source # (>=) :: FunDep -> FunDep -> Bool Source # max :: FunDep -> FunDep -> FunDep Source # min :: FunDep -> FunDep -> FunDep Source #
Ord Guard Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: Guard -> Guard -> Ordering Source # (<) :: Guard -> Guard -> Bool Source # (<=) :: Guard -> Guard -> Bool Source # (>) :: Guard -> Guard -> Bool Source # (>=) :: Guard -> Guard -> Bool Source # max :: Guard -> Guard -> Guard Source # min :: Guard -> Guard -> Guard Source #
Ord Info Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: Info -> Info -> Ordering Source # (<) :: Info -> Info -> Bool Source # (<=) :: Info -> Info -> Bool Source # (>) :: Info -> Info -> Bool Source # (>=) :: Info -> Info -> Bool Source # max :: Info -> Info -> Info Source # min :: Info -> Info -> Info Source #
Ord InjectivityAnn Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: InjectivityAnn -> InjectivityAnn -> Ordering Source # (<) :: InjectivityAnn -> InjectivityAnn -> Bool Source # (<=) :: InjectivityAnn -> InjectivityAnn -> Bool Source # (>) :: InjectivityAnn -> InjectivityAnn -> Bool Source # (>=) :: InjectivityAnn -> InjectivityAnn -> Bool Source # max :: InjectivityAnn -> InjectivityAnn -> InjectivityAnn Source # min :: InjectivityAnn -> InjectivityAnn -> InjectivityAnn Source #
Ord Inline Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: Inline -> Inline -> Ordering Source # (<) :: Inline -> Inline -> Bool Source # (<=) :: Inline -> Inline -> Bool Source # (>) :: Inline -> Inline -> Bool Source # (>=) :: Inline -> Inline -> Bool Source # max :: Inline -> Inline -> Inline Source # min :: Inline -> Inline -> Inline Source #
Ord Lit Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: Lit -> Lit -> Ordering Source # (<) :: Lit -> Lit -> Bool Source # (<=) :: Lit -> Lit -> Bool Source # (>) :: Lit -> Lit -> Bool Source # (>=) :: Lit -> Lit -> Bool Source # max :: Lit -> Lit -> Lit Source # min :: Lit -> Lit -> Lit Source #
Ord Loc Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: Loc -> Loc -> Ordering Source # (<) :: Loc -> Loc -> Bool Source # (<=) :: Loc -> Loc -> Bool Source # (>) :: Loc -> Loc -> Bool Source # (>=) :: Loc -> Loc -> Bool Source # max :: Loc -> Loc -> Loc Source # min :: Loc -> Loc -> Loc Source #
Ord Match Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: Match -> Match -> Ordering Source # (<) :: Match -> Match -> Bool Source # (<=) :: Match -> Match -> Bool Source # (>) :: Match -> Match -> Bool Source # (>=) :: Match -> Match -> Bool Source # max :: Match -> Match -> Match Source # min :: Match -> Match -> Match Source #
Ord ModName Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: ModName -> ModName -> Ordering Source # (<) :: ModName -> ModName -> Bool Source # (<=) :: ModName -> ModName -> Bool Source # (>) :: ModName -> ModName -> Bool Source # (>=) :: ModName -> ModName -> Bool Source # max :: ModName -> ModName -> ModName Source # min :: ModName -> ModName -> ModName Source #
Ord Module Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: Module -> Module -> Ordering Source # (<) :: Module -> Module -> Bool Source # (<=) :: Module -> Module -> Bool Source # (>) :: Module -> Module -> Bool Source # (>=) :: Module -> Module -> Bool Source # max :: Module -> Module -> Module Source # min :: Module -> Module -> Module Source #
Ord ModuleInfo Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: ModuleInfo -> ModuleInfo -> Ordering Source # (<) :: ModuleInfo -> ModuleInfo -> Bool Source # (<=) :: ModuleInfo -> ModuleInfo -> Bool Source # (>) :: ModuleInfo -> ModuleInfo -> Bool Source # (>=) :: ModuleInfo -> ModuleInfo -> Bool Source # max :: ModuleInfo -> ModuleInfo -> ModuleInfo Source # min :: ModuleInfo -> ModuleInfo -> ModuleInfo Source #
Ord Name Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: Name -> Name -> Ordering Source # (<) :: Name -> Name -> Bool Source # (<=) :: Name -> Name -> Bool Source # (>) :: Name -> Name -> Bool Source # (>=) :: Name -> Name -> Bool Source # max :: Name -> Name -> Name Source # min :: Name -> Name -> Name Source #
Ord NameFlavour Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: NameFlavour -> NameFlavour -> Ordering Source # (<) :: NameFlavour -> NameFlavour -> Bool Source # (<=) :: NameFlavour -> NameFlavour -> Bool Source # (>) :: NameFlavour -> NameFlavour -> Bool Source # (>=) :: NameFlavour -> NameFlavour -> Bool Source # max :: NameFlavour -> NameFlavour -> NameFlavour Source # min :: NameFlavour -> NameFlavour -> NameFlavour Source #
Ord NameSpace Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: NameSpace -> NameSpace -> Ordering Source # (<) :: NameSpace -> NameSpace -> Bool Source # (<=) :: NameSpace -> NameSpace -> Bool Source # (>) :: NameSpace -> NameSpace -> Bool Source # (>=) :: NameSpace -> NameSpace -> Bool Source # max :: NameSpace -> NameSpace -> NameSpace Source # min :: NameSpace -> NameSpace -> NameSpace Source #
Ord NamespaceSpecifier Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: NamespaceSpecifier -> NamespaceSpecifier -> Ordering Source # (<) :: NamespaceSpecifier -> NamespaceSpecifier -> Bool Source # (<=) :: NamespaceSpecifier -> NamespaceSpecifier -> Bool Source # (>) :: NamespaceSpecifier -> NamespaceSpecifier -> Bool Source # (>=) :: NamespaceSpecifier -> NamespaceSpecifier -> Bool Source # max :: NamespaceSpecifier -> NamespaceSpecifier -> NamespaceSpecifier Source # min :: NamespaceSpecifier -> NamespaceSpecifier -> NamespaceSpecifier Source #
Ord OccName Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: OccName -> OccName -> Ordering Source # (<) :: OccName -> OccName -> Bool Source # (<=) :: OccName -> OccName -> Bool Source # (>) :: OccName -> OccName -> Bool Source # (>=) :: OccName -> OccName -> Bool Source # max :: OccName -> OccName -> OccName Source # min :: OccName -> OccName -> OccName Source #
Ord Overlap Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: Overlap -> Overlap -> Ordering Source # (<) :: Overlap -> Overlap -> Bool Source # (<=) :: Overlap -> Overlap -> Bool Source # (>) :: Overlap -> Overlap -> Bool Source # (>=) :: Overlap -> Overlap -> Bool Source # max :: Overlap -> Overlap -> Overlap Source # min :: Overlap -> Overlap -> Overlap Source #
Ord Pat Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: Pat -> Pat -> Ordering Source # (<) :: Pat -> Pat -> Bool Source # (<=) :: Pat -> Pat -> Bool Source # (>) :: Pat -> Pat -> Bool Source # (>=) :: Pat -> Pat -> Bool Source # max :: Pat -> Pat -> Pat Source # min :: Pat -> Pat -> Pat Source #
Ord PatSynArgs Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: PatSynArgs -> PatSynArgs -> Ordering Source # (<) :: PatSynArgs -> PatSynArgs -> Bool Source # (<=) :: PatSynArgs -> PatSynArgs -> Bool Source # (>) :: PatSynArgs -> PatSynArgs -> Bool Source # (>=) :: PatSynArgs -> PatSynArgs -> Bool Source # max :: PatSynArgs -> PatSynArgs -> PatSynArgs Source # min :: PatSynArgs -> PatSynArgs -> PatSynArgs Source #
Ord PatSynDir Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: PatSynDir -> PatSynDir -> Ordering Source # (<) :: PatSynDir -> PatSynDir -> Bool Source # (<=) :: PatSynDir -> PatSynDir -> Bool Source # (>) :: PatSynDir -> PatSynDir -> Bool Source # (>=) :: PatSynDir -> PatSynDir -> Bool Source # max :: PatSynDir -> PatSynDir -> PatSynDir Source # min :: PatSynDir -> PatSynDir -> PatSynDir Source #
Ord Phases Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: Phases -> Phases -> Ordering Source # (<) :: Phases -> Phases -> Bool Source # (<=) :: Phases -> Phases -> Bool Source # (>) :: Phases -> Phases -> Bool Source # (>=) :: Phases -> Phases -> Bool Source # max :: Phases -> Phases -> Phases Source # min :: Phases -> Phases -> Phases Source #
Ord PkgName Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: PkgName -> PkgName -> Ordering Source # (<) :: PkgName -> PkgName -> Bool Source # (<=) :: PkgName -> PkgName -> Bool Source # (>) :: PkgName -> PkgName -> Bool Source # (>=) :: PkgName -> PkgName -> Bool Source # max :: PkgName -> PkgName -> PkgName Source # min :: PkgName -> PkgName -> PkgName Source #
Ord Pragma Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: Pragma -> Pragma -> Ordering Source # (<) :: Pragma -> Pragma -> Bool Source # (<=) :: Pragma -> Pragma -> Bool Source # (>) :: Pragma -> Pragma -> Bool Source # (>=) :: Pragma -> Pragma -> Bool Source # max :: Pragma -> Pragma -> Pragma Source # min :: Pragma -> Pragma -> Pragma Source #
Ord Range Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: Range -> Range -> Ordering Source # (<) :: Range -> Range -> Bool Source # (<=) :: Range -> Range -> Bool Source # (>) :: Range -> Range -> Bool Source # (>=) :: Range -> Range -> Bool Source # max :: Range -> Range -> Range Source # min :: Range -> Range -> Range Source #
Ord Role Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: Role -> Role -> Ordering Source # (<) :: Role -> Role -> Bool Source # (<=) :: Role -> Role -> Bool Source # (>) :: Role -> Role -> Bool Source # (>=) :: Role -> Role -> Bool Source # max :: Role -> Role -> Role Source # min :: Role -> Role -> Role Source #
Ord RuleBndr Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: RuleBndr -> RuleBndr -> Ordering Source # (<) :: RuleBndr -> RuleBndr -> Bool Source # (<=) :: RuleBndr -> RuleBndr -> Bool Source # (>) :: RuleBndr -> RuleBndr -> Bool Source # (>=) :: RuleBndr -> RuleBndr -> Bool Source # max :: RuleBndr -> RuleBndr -> RuleBndr Source # min :: RuleBndr -> RuleBndr -> RuleBndr Source #
Ord RuleMatch Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: RuleMatch -> RuleMatch -> Ordering Source # (<) :: RuleMatch -> RuleMatch -> Bool Source # (<=) :: RuleMatch -> RuleMatch -> Bool Source # (>) :: RuleMatch -> RuleMatch -> Bool Source # (>=) :: RuleMatch -> RuleMatch -> Bool Source # max :: RuleMatch -> RuleMatch -> RuleMatch Source # min :: RuleMatch -> RuleMatch -> RuleMatch Source #
Ord Safety Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: Safety -> Safety -> Ordering Source # (<) :: Safety -> Safety -> Bool Source # (<=) :: Safety -> Safety -> Bool Source # (>) :: Safety -> Safety -> Bool Source # (>=) :: Safety -> Safety -> Bool Source # max :: Safety -> Safety -> Safety Source # min :: Safety -> Safety -> Safety Source #
Ord SourceStrictness Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: SourceStrictness -> SourceStrictness -> Ordering Source # (<) :: SourceStrictness -> SourceStrictness -> Bool Source # (<=) :: SourceStrictness -> SourceStrictness -> Bool Source # (>) :: SourceStrictness -> SourceStrictness -> Bool Source # (>=) :: SourceStrictness -> SourceStrictness -> Bool Source # max :: SourceStrictness -> SourceStrictness -> SourceStrictness Source # min :: SourceStrictness -> SourceStrictness -> SourceStrictness Source #
Ord SourceUnpackedness Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: SourceUnpackedness -> SourceUnpackedness -> Ordering Source # (<) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source # (<=) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source # (>) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source # (>=) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source # max :: SourceUnpackedness -> SourceUnpackedness -> SourceUnpackedness Source # min :: SourceUnpackedness -> SourceUnpackedness -> SourceUnpackedness Source #
Ord Specificity Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: Specificity -> Specificity -> Ordering Source # (<) :: Specificity -> Specificity -> Bool Source # (<=) :: Specificity -> Specificity -> Bool Source # (>) :: Specificity -> Specificity -> Bool Source # (>=) :: Specificity -> Specificity -> Bool Source # max :: Specificity -> Specificity -> Specificity Source # min :: Specificity -> Specificity -> Specificity Source #
Ord Stmt Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: Stmt -> Stmt -> Ordering Source # (<) :: Stmt -> Stmt -> Bool Source # (<=) :: Stmt -> Stmt -> Bool Source # (>) :: Stmt -> Stmt -> Bool Source # (>=) :: Stmt -> Stmt -> Bool Source # max :: Stmt -> Stmt -> Stmt Source # min :: Stmt -> Stmt -> Stmt Source #
Ord TyLit Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: TyLit -> TyLit -> Ordering Source # (<) :: TyLit -> TyLit -> Bool Source # (<=) :: TyLit -> TyLit -> Bool Source # (>) :: TyLit -> TyLit -> Bool Source # (>=) :: TyLit -> TyLit -> Bool Source # max :: TyLit -> TyLit -> TyLit Source # min :: TyLit -> TyLit -> TyLit Source #
Ord TySynEqn Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: TySynEqn -> TySynEqn -> Ordering Source # (<) :: TySynEqn -> TySynEqn -> Bool Source # (<=) :: TySynEqn -> TySynEqn -> Bool Source # (>) :: TySynEqn -> TySynEqn -> Bool Source # (>=) :: TySynEqn -> TySynEqn -> Bool Source # max :: TySynEqn -> TySynEqn -> TySynEqn Source # min :: TySynEqn -> TySynEqn -> TySynEqn Source #
Ord Type Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: Type -> Type -> Ordering Source # (<) :: Type -> Type -> Bool Source # (<=) :: Type -> Type -> Bool Source # (>) :: Type -> Type -> Bool Source # (>=) :: Type -> Type -> Bool Source # max :: Type -> Type -> Type Source # min :: Type -> Type -> Type Source #
Ord TypeFamilyHead Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: TypeFamilyHead -> TypeFamilyHead -> Ordering Source # (<) :: TypeFamilyHead -> TypeFamilyHead -> Bool Source # (<=) :: TypeFamilyHead -> TypeFamilyHead -> Bool Source # (>) :: TypeFamilyHead -> TypeFamilyHead -> Bool Source # (>=) :: TypeFamilyHead -> TypeFamilyHead -> Bool Source # max :: TypeFamilyHead -> TypeFamilyHead -> TypeFamilyHead Source # min :: TypeFamilyHead -> TypeFamilyHead -> TypeFamilyHead Source #
Ord SomeChar Source #
Instance details Defined in GHC.Internal.TypeLits Methods compare :: SomeChar -> SomeChar -> Ordering Source # (<) :: SomeChar -> SomeChar -> Bool Source # (<=) :: SomeChar -> SomeChar -> Bool Source # (>) :: SomeChar -> SomeChar -> Bool Source # (>=) :: SomeChar -> SomeChar -> Bool Source # max :: SomeChar -> SomeChar -> SomeChar Source # min :: SomeChar -> SomeChar -> SomeChar Source #
Ord SomeSymbol Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.TypeLits Methods compare :: SomeSymbol -> SomeSymbol -> Ordering Source # (<) :: SomeSymbol -> SomeSymbol -> Bool Source # (<=) :: SomeSymbol -> SomeSymbol -> Bool Source # (>) :: SomeSymbol -> SomeSymbol -> Bool Source # (>=) :: SomeSymbol -> SomeSymbol -> Bool Source # max :: SomeSymbol -> SomeSymbol -> SomeSymbol Source # min :: SomeSymbol -> SomeSymbol -> SomeSymbol Source #
Ord SomeNat Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.TypeNats Methods compare :: SomeNat -> SomeNat -> Ordering Source # (<) :: SomeNat -> SomeNat -> Bool Source # (<=) :: SomeNat -> SomeNat -> Bool Source # (>) :: SomeNat -> SomeNat -> Bool Source # (>=) :: SomeNat -> SomeNat -> Bool Source # max :: SomeNat -> SomeNat -> SomeNat Source # min :: SomeNat -> SomeNat -> SomeNat Source #
Ord Ordering Source #
Instance details Defined in GHC.Internal.Classes Methods compare :: Ordering -> Ordering -> Ordering Source # (<) :: Ordering -> Ordering -> Bool Source # (<=) :: Ordering -> Ordering -> Bool Source # (>) :: Ordering -> Ordering -> Bool Source # (>=) :: Ordering -> Ordering -> Bool Source # max :: Ordering -> Ordering -> Ordering Source # min :: Ordering -> Ordering -> Ordering Source #
Ord TyCon Source #
Instance details Defined in GHC.Internal.Classes Methods compare :: TyCon -> TyCon -> Ordering Source # (<) :: TyCon -> TyCon -> Bool Source # (<=) :: TyCon -> TyCon -> Bool Source # (>) :: TyCon -> TyCon -> Bool Source # (>=) :: TyCon -> TyCon -> Bool Source # max :: TyCon -> TyCon -> TyCon Source # min :: TyCon -> TyCon -> TyCon Source #
Ord GeneralCategory Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Unicode Methods compare :: GeneralCategory -> GeneralCategory -> Ordering Source # (<) :: GeneralCategory -> GeneralCategory -> Bool Source # (<=) :: GeneralCategory -> GeneralCategory -> Bool Source # (>) :: GeneralCategory -> GeneralCategory -> Bool Source # (>=) :: GeneralCategory -> GeneralCategory -> Bool Source # max :: GeneralCategory -> GeneralCategory -> GeneralCategory Source # min :: GeneralCategory -> GeneralCategory -> GeneralCategory Source #
Ord Word16 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods compare :: Word16 -> Word16 -> Ordering Source # (<) :: Word16 -> Word16 -> Bool Source # (<=) :: Word16 -> Word16 -> Bool Source # (>) :: Word16 -> Word16 -> Bool Source # (>=) :: Word16 -> Word16 -> Bool Source # max :: Word16 -> Word16 -> Word16 Source # min :: Word16 -> Word16 -> Word16 Source #
Ord Word32 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods compare :: Word32 -> Word32 -> Ordering Source # (<) :: Word32 -> Word32 -> Bool Source # (<=) :: Word32 -> Word32 -> Bool Source # (>) :: Word32 -> Word32 -> Bool Source # (>=) :: Word32 -> Word32 -> Bool Source # max :: Word32 -> Word32 -> Word32 Source # min :: Word32 -> Word32 -> Word32 Source #
Ord Word64 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods compare :: Word64 -> Word64 -> Ordering Source # (<) :: Word64 -> Word64 -> Bool Source # (<=) :: Word64 -> Word64 -> Bool Source # (>) :: Word64 -> Word64 -> Bool Source # (>=) :: Word64 -> Word64 -> Bool Source # max :: Word64 -> Word64 -> Word64 Source # min :: Word64 -> Word64 -> Word64 Source #
Ord Word8 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods compare :: Word8 -> Word8 -> Ordering Source # (<) :: Word8 -> Word8 -> Bool Source # (<=) :: Word8 -> Word8 -> Bool Source # (>) :: Word8 -> Word8 -> Bool Source # (>=) :: Word8 -> Word8 -> Bool Source # max :: Word8 -> Word8 -> Word8 Source # min :: Word8 -> Word8 -> Word8 Source #
Ord Integer Source #
Instance details Defined in GHC.Internal.Bignum.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 #
Ord Natural Source #
Instance details Defined in GHC.Internal.Bignum.Natural Methods compare :: Natural -> Natural -> Ordering Source # (<) :: Natural -> Natural -> Bool Source # (<=) :: Natural -> Natural -> Bool Source # (>) :: Natural -> Natural -> Bool Source # (>=) :: Natural -> Natural -> Bool Source # max :: Natural -> Natural -> Natural Source # min :: Natural -> Natural -> Natural Source #
Ord () Source #
Instance details Defined in GHC.Internal.Classes Methods compare :: () -> () -> Ordering Source # (<) :: () -> () -> Bool Source # (<=) :: () -> () -> Bool Source # (>) :: () -> () -> Bool Source # (>=) :: () -> () -> Bool Source # max :: () -> () -> () Source # min :: () -> () -> () Source #
Ord Bool Source #
Instance details Defined in GHC.Internal.Classes Methods compare :: Bool -> Bool -> Ordering Source # (<) :: Bool -> Bool -> Bool Source # (<=) :: Bool -> Bool -> Bool Source # (>) :: Bool -> Bool -> Bool Source # (>=) :: Bool -> Bool -> Bool Source # max :: Bool -> Bool -> Bool Source # min :: Bool -> Bool -> Bool Source #
Ord Char Source #
Instance details Defined in GHC.Internal.Classes Methods compare :: Char -> Char -> Ordering Source # (<) :: Char -> Char -> Bool Source # (<=) :: Char -> Char -> Bool Source # (>) :: Char -> Char -> Bool Source # (>=) :: Char -> Char -> Bool Source # max :: Char -> Char -> Char Source # min :: Char -> Char -> Char Source #
Ord Double Source #	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.Internal.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 #
Ord Float Source #	See `instance` `Ord` `Double` for discussion of deviations from IEEE 754 standard.
Instance details Defined in GHC.Internal.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 #
Ord Int Source #
Instance details Defined in GHC.Internal.Classes Methods compare :: Int -> Int -> Ordering Source # (<) :: Int -> Int -> Bool Source # (<=) :: Int -> Int -> Bool Source # (>) :: Int -> Int -> Bool Source # (>=) :: Int -> Int -> Bool Source # max :: Int -> Int -> Int Source # min :: Int -> Int -> Int Source #
Ord Word Source #
Instance details Defined in GHC.Internal.Classes Methods compare :: Word -> Word -> Ordering Source # (<) :: Word -> Word -> Bool Source # (<=) :: Word -> Word -> Bool Source # (>) :: Word -> Word -> Bool Source # (>=) :: Word -> Word -> Bool Source # max :: Word -> Word -> Word Source # min :: Word -> Word -> Word Source #
Ord a => Ord (First a) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods compare :: First a -> First a -> Ordering Source # (<) :: First a -> First a -> Bool Source # (<=) :: First a -> First a -> Bool Source # (>) :: First a -> First a -> Bool Source # (>=) :: First a -> First a -> Bool Source # max :: First a -> First a -> First a Source # min :: First a -> First a -> First a Source #
Ord a => Ord (Last a) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods compare :: Last a -> Last a -> Ordering Source # (<) :: Last a -> Last a -> Bool Source # (<=) :: Last a -> Last a -> Bool Source # (>) :: Last a -> Last a -> Bool Source # (>=) :: Last a -> Last a -> Bool Source # max :: Last a -> Last a -> Last a Source # min :: Last a -> Last a -> Last a Source #
Ord a => Ord (Max a) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods compare :: Max a -> Max a -> Ordering Source # (<) :: Max a -> Max a -> Bool Source # (<=) :: Max a -> Max a -> Bool Source # (>) :: Max a -> Max a -> Bool Source # (>=) :: Max a -> Max a -> Bool Source # max :: Max a -> Max a -> Max a Source # min :: Max a -> Max a -> Max a Source #
Ord a => Ord (Min a) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods compare :: Min a -> Min a -> Ordering Source # (<) :: Min a -> Min a -> Bool Source # (<=) :: Min a -> Min a -> Bool Source # (>) :: Min a -> Min a -> Bool Source # (>=) :: Min a -> Min a -> Bool Source # max :: Min a -> Min a -> Min a Source # min :: Min a -> Min a -> Min a Source #
Ord m => Ord (WrappedMonoid m) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods compare :: WrappedMonoid m -> WrappedMonoid m -> Ordering Source # (<) :: WrappedMonoid m -> WrappedMonoid m -> Bool Source # (<=) :: WrappedMonoid m -> WrappedMonoid m -> Bool Source # (>) :: WrappedMonoid m -> WrappedMonoid m -> Bool Source # (>=) :: WrappedMonoid m -> WrappedMonoid m -> Bool Source # max :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m Source # min :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m Source #
Ord a => Ord (NonEmpty a) Source #	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 #
Ord a => Ord (Identity a) Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Functor.Identity Methods compare :: Identity a -> Identity a -> Ordering Source # (<) :: Identity a -> Identity a -> Bool Source # (<=) :: Identity a -> Identity a -> Bool Source # (>) :: Identity a -> Identity a -> Bool Source # (>=) :: Identity a -> Identity a -> Bool Source # max :: Identity a -> Identity a -> Identity a Source # min :: Identity a -> Identity a -> Identity a Source #
Ord a => Ord (First a) Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Data.Monoid Methods compare :: First a -> First a -> Ordering Source # (<) :: First a -> First a -> Bool Source # (<=) :: First a -> First a -> Bool Source # (>) :: First a -> First a -> Bool Source # (>=) :: First a -> First a -> Bool Source # max :: First a -> First a -> First a Source # min :: First a -> First a -> First a Source #
Ord a => Ord (Last a) Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Data.Monoid Methods compare :: Last a -> Last a -> Ordering Source # (<) :: Last a -> Last a -> Bool Source # (<=) :: Last a -> Last a -> Bool Source # (>) :: Last a -> Last a -> Bool Source # (>=) :: Last a -> Last a -> Bool Source # max :: Last a -> Last a -> Last a Source # min :: Last a -> Last a -> Last a Source #
Ord a => Ord (Down a) Source #	Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods compare :: Down a -> Down a -> Ordering Source # (<) :: Down a -> Down a -> Bool Source # (<=) :: Down a -> Down a -> Bool Source # (>) :: Down a -> Down a -> Bool Source # (>=) :: Down a -> Down a -> Bool Source # max :: Down a -> Down a -> Down a Source # min :: Down a -> Down a -> Down a Source #
Ord a => Ord (Dual a) Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods compare :: Dual a -> Dual a -> Ordering Source # (<) :: Dual a -> Dual a -> Bool Source # (<=) :: Dual a -> Dual a -> Bool Source # (>) :: Dual a -> Dual a -> Bool Source # (>=) :: Dual a -> Dual a -> Bool Source # max :: Dual a -> Dual a -> Dual a Source # min :: Dual a -> Dual a -> Dual a Source #
Ord a => Ord (Product a) Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods compare :: Product a -> Product a -> Ordering Source # (<) :: Product a -> Product a -> Bool Source # (<=) :: Product a -> Product a -> Bool Source # (>) :: Product a -> Product a -> Bool Source # (>=) :: Product a -> Product a -> Bool Source # max :: Product a -> Product a -> Product a Source # min :: Product a -> Product a -> Product a Source #
Ord a => Ord (Sum a) Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods compare :: Sum a -> Sum a -> Ordering Source # (<) :: Sum a -> Sum a -> Bool Source # (<=) :: Sum a -> Sum a -> Bool Source # (>) :: Sum a -> Sum a -> Bool Source # (>=) :: Sum a -> Sum a -> Bool Source # max :: Sum a -> Sum a -> Sum a Source # min :: Sum a -> Sum a -> Sum a Source #
Ord (ConstPtr a) Source #
Instance details Defined in GHC.Internal.Foreign.C.ConstPtr Methods compare :: ConstPtr a -> ConstPtr a -> Ordering Source # (<) :: ConstPtr a -> ConstPtr a -> Bool Source # (<=) :: ConstPtr a -> ConstPtr a -> Bool Source # (>) :: ConstPtr a -> ConstPtr a -> Bool Source # (>=) :: ConstPtr a -> ConstPtr a -> Bool Source # max :: ConstPtr a -> ConstPtr a -> ConstPtr a Source # min :: ConstPtr a -> ConstPtr a -> ConstPtr a Source #
Ord (ForeignPtr a) Source #	Since: base-2.1
Instance details Defined in GHC.Internal.ForeignPtr Methods compare :: ForeignPtr a -> ForeignPtr a -> Ordering Source # (<) :: ForeignPtr a -> ForeignPtr a -> Bool Source # (<=) :: ForeignPtr a -> ForeignPtr a -> Bool Source # (>) :: ForeignPtr a -> ForeignPtr a -> Bool Source # (>=) :: ForeignPtr a -> ForeignPtr a -> Bool Source # max :: ForeignPtr a -> ForeignPtr a -> ForeignPtr a Source # min :: ForeignPtr a -> ForeignPtr a -> ForeignPtr a Source #
Ord a => Ord (ZipList a) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Functor.ZipList Methods compare :: ZipList a -> ZipList a -> Ordering Source # (<) :: ZipList a -> ZipList a -> Bool Source # (<=) :: ZipList a -> ZipList a -> Bool Source # (>) :: ZipList a -> ZipList a -> Bool Source # (>=) :: ZipList a -> ZipList a -> Bool Source # max :: ZipList a -> ZipList a -> ZipList a Source # min :: ZipList a -> ZipList a -> ZipList a Source #
Ord p => Ord (Par1 p) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: Par1 p -> Par1 p -> Ordering Source # (<) :: Par1 p -> Par1 p -> Bool Source # (<=) :: Par1 p -> Par1 p -> Bool Source # (>) :: Par1 p -> Par1 p -> Bool Source # (>=) :: Par1 p -> Par1 p -> Bool Source # max :: Par1 p -> Par1 p -> Par1 p Source # min :: Par1 p -> Par1 p -> Par1 p Source #
Ord (FunPtr a) Source #
Instance details Defined in GHC.Internal.Ptr Methods compare :: FunPtr a -> FunPtr a -> Ordering Source # (<) :: FunPtr a -> FunPtr a -> Bool Source # (<=) :: FunPtr a -> FunPtr a -> Bool Source # (>) :: FunPtr a -> FunPtr a -> Bool Source # (>=) :: FunPtr a -> FunPtr a -> Bool Source # max :: FunPtr a -> FunPtr a -> FunPtr a Source # min :: FunPtr a -> FunPtr a -> FunPtr a Source #
Ord (Ptr a) Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Ptr Methods compare :: Ptr a -> Ptr a -> Ordering Source # (<) :: Ptr a -> Ptr a -> Bool Source # (<=) :: Ptr a -> Ptr a -> Bool Source # (>) :: Ptr a -> Ptr a -> Bool Source # (>=) :: Ptr a -> Ptr a -> Bool Source # max :: Ptr a -> Ptr a -> Ptr a Source # min :: Ptr a -> Ptr a -> Ptr a Source #
Integral a => Ord (Ratio a) Source #	Since: base-2.0.1
Instance details Defined in GHC.Internal.Real Methods compare :: Ratio a -> Ratio a -> Ordering Source # (<) :: Ratio a -> Ratio a -> Bool Source # (<=) :: Ratio a -> Ratio a -> Bool Source # (>) :: Ratio a -> Ratio a -> Bool Source # (>=) :: Ratio a -> Ratio a -> Bool Source # max :: Ratio a -> Ratio a -> Ratio a Source # min :: Ratio a -> Ratio a -> Ratio a Source #
Ord flag => Ord (TyVarBndr flag) Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods compare :: TyVarBndr flag -> TyVarBndr flag -> Ordering Source # (<) :: TyVarBndr flag -> TyVarBndr flag -> Bool Source # (<=) :: TyVarBndr flag -> TyVarBndr flag -> Bool Source # (>) :: TyVarBndr flag -> TyVarBndr flag -> Bool Source # (>=) :: TyVarBndr flag -> TyVarBndr flag -> Bool Source # max :: TyVarBndr flag -> TyVarBndr flag -> TyVarBndr flag Source # min :: TyVarBndr flag -> TyVarBndr flag -> TyVarBndr flag Source #
Ord (SChar c) Source #	Since: base-4.19.0.0
Instance details Defined in GHC.Internal.TypeLits Methods compare :: SChar c -> SChar c -> Ordering Source # (<) :: SChar c -> SChar c -> Bool Source # (<=) :: SChar c -> SChar c -> Bool Source # (>) :: SChar c -> SChar c -> Bool Source # (>=) :: SChar c -> SChar c -> Bool Source # max :: SChar c -> SChar c -> SChar c Source # min :: SChar c -> SChar c -> SChar c Source #
Ord (SSymbol s) Source #	Since: base-4.19.0.0
Instance details Defined in GHC.Internal.TypeLits Methods compare :: SSymbol s -> SSymbol s -> Ordering Source # (<) :: SSymbol s -> SSymbol s -> Bool Source # (<=) :: SSymbol s -> SSymbol s -> Bool Source # (>) :: SSymbol s -> SSymbol s -> Bool Source # (>=) :: SSymbol s -> SSymbol s -> Bool Source # max :: SSymbol s -> SSymbol s -> SSymbol s Source # min :: SSymbol s -> SSymbol s -> SSymbol s Source #
Ord (SNat n) Source #	Since: base-4.19.0.0
Instance details Defined in GHC.Internal.TypeNats Methods compare :: SNat n -> SNat n -> Ordering Source # (<) :: SNat n -> SNat n -> Bool Source # (<=) :: SNat n -> SNat n -> Bool Source # (>) :: SNat n -> SNat n -> Bool Source # (>=) :: SNat n -> SNat n -> Bool Source # max :: SNat n -> SNat n -> SNat n Source # min :: SNat n -> SNat n -> SNat n Source #
Ord a => Ord (Maybe a) Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Maybe Methods compare :: Maybe a -> Maybe a -> Ordering Source # (<) :: Maybe a -> Maybe a -> Bool Source # (<=) :: Maybe a -> Maybe a -> Bool Source # (>) :: Maybe a -> Maybe a -> Bool Source # (>=) :: Maybe a -> Maybe a -> Bool Source # max :: Maybe a -> Maybe a -> Maybe a Source # min :: Maybe a -> Maybe a -> Maybe a Source #
Ord a => Ord (Solo a) Source #
Instance details Defined in GHC.Internal.Classes Methods compare :: Solo a -> Solo a -> Ordering Source # (<) :: Solo a -> Solo a -> Bool Source # (<=) :: Solo a -> Solo a -> Bool Source # (>) :: Solo a -> Solo a -> Bool Source # (>=) :: Solo a -> Solo a -> Bool Source # max :: Solo a -> Solo a -> Solo a Source # min :: Solo a -> Solo a -> Solo a Source #
Ord a => Ord [a] Source #
Instance details Defined in GHC.Internal.Classes Methods compare :: [a] -> [a] -> Ordering Source # (<) :: [a] -> [a] -> Bool Source # (<=) :: [a] -> [a] -> Bool Source # (>) :: [a] -> [a] -> Bool Source # (>=) :: [a] -> [a] -> Bool Source # max :: [a] -> [a] -> [a] Source # min :: [a] -> [a] -> [a] Source #
Ord (Fixed a) Source #	Since: base-2.1
Instance details Defined in Data.Fixed Methods compare :: Fixed a -> Fixed a -> Ordering Source # (<) :: Fixed a -> Fixed a -> Bool Source # (<=) :: Fixed a -> Fixed a -> Bool Source # (>) :: Fixed a -> Fixed a -> Bool Source # (>=) :: Fixed a -> Fixed a -> Bool Source # max :: Fixed a -> Fixed a -> Fixed a Source # min :: Fixed a -> Fixed a -> Fixed a Source #
Ord a => Ord (Arg a b) Source #	Note that `Arg`'s `Ord` instance has `min` and `max` implementations that differ from the tie-breaking conventions of the default implementation of `min` and `max` in class `Ord`; `Arg` breaks ties by favoring the first argument in both functions. Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods compare :: Arg a b -> Arg a b -> Ordering Source # (<) :: Arg a b -> Arg a b -> Bool Source # (<=) :: Arg a b -> Arg a b -> Bool Source # (>) :: Arg a b -> Arg a b -> Bool Source # (>=) :: Arg a b -> Arg a b -> Bool Source # max :: Arg a b -> Arg a b -> Arg a b Source # min :: Arg a b -> Arg a b -> Arg a b Source #
(Ix i, Ord e) => Ord (Array i e) Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Arr Methods compare :: Array i e -> Array i e -> Ordering Source # (<) :: Array i e -> Array i e -> Bool Source # (<=) :: Array i e -> Array i e -> Bool Source # (>) :: Array i e -> Array i e -> Bool Source # (>=) :: Array i e -> Array i e -> Bool Source # max :: Array i e -> Array i e -> Array i e Source # min :: Array i e -> Array i e -> Array i e Source #
(Ord a, Ord b) => Ord (Either a b) Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Data.Either Methods compare :: Either a b -> Either a b -> Ordering Source # (<) :: Either a b -> Either a b -> Bool Source # (<=) :: Either a b -> Either a b -> Bool Source # (>) :: Either a b -> Either a b -> Bool Source # (>=) :: Either a b -> Either a b -> Bool Source # max :: Either a b -> Either a b -> Either a b Source # min :: Either a b -> Either a b -> Either a b Source #
Ord (Proxy s) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Proxy Methods compare :: Proxy s -> Proxy s -> Ordering Source # (<) :: Proxy s -> Proxy s -> Bool Source # (<=) :: Proxy s -> Proxy s -> Bool Source # (>) :: Proxy s -> Proxy s -> Bool Source # (>=) :: Proxy s -> Proxy s -> Bool Source # max :: Proxy s -> Proxy s -> Proxy s Source # min :: Proxy s -> Proxy s -> Proxy s Source #
Ord (TypeRep a) Source #	Since: base-4.4.0.0
Instance details Defined in GHC.Internal.Data.Typeable.Internal Methods compare :: TypeRep a -> TypeRep a -> Ordering Source # (<) :: TypeRep a -> TypeRep a -> Bool Source # (<=) :: TypeRep a -> TypeRep a -> Bool Source # (>) :: TypeRep a -> TypeRep a -> Bool Source # (>=) :: TypeRep a -> TypeRep a -> Bool Source # max :: TypeRep a -> TypeRep a -> TypeRep a Source # min :: TypeRep a -> TypeRep a -> TypeRep a Source #
Ord (U1 p) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: U1 p -> U1 p -> Ordering Source # (<) :: U1 p -> U1 p -> Bool Source # (<=) :: U1 p -> U1 p -> Bool Source # (>) :: U1 p -> U1 p -> Bool Source # (>=) :: U1 p -> U1 p -> Bool Source # max :: U1 p -> U1 p -> U1 p Source # min :: U1 p -> U1 p -> U1 p Source #
Ord (V1 p) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: V1 p -> V1 p -> Ordering Source # (<) :: V1 p -> V1 p -> Bool Source # (<=) :: V1 p -> V1 p -> Bool Source # (>) :: V1 p -> V1 p -> Bool Source # (>=) :: V1 p -> V1 p -> Bool Source # max :: V1 p -> V1 p -> V1 p Source # min :: V1 p -> V1 p -> V1 p Source #
(Ord a, Ord b) => Ord (a, b) Source #
Instance details Defined in GHC.Internal.Classes Methods compare :: (a, b) -> (a, b) -> Ordering Source # (<) :: (a, b) -> (a, b) -> Bool Source # (<=) :: (a, b) -> (a, b) -> Bool Source # (>) :: (a, b) -> (a, b) -> Bool Source # (>=) :: (a, b) -> (a, b) -> Bool Source # max :: (a, b) -> (a, b) -> (a, b) Source # min :: (a, b) -> (a, b) -> (a, b) Source #
Ord a => Ord (Const a b) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Functor.Const Methods compare :: Const a b -> Const a b -> Ordering Source # (<) :: Const a b -> Const a b -> Bool Source # (<=) :: Const a b -> Const a b -> Bool Source # (>) :: Const a b -> Const a b -> Bool Source # (>=) :: Const a b -> Const a b -> Bool Source # max :: Const a b -> Const a b -> Const a b Source # min :: Const a b -> Const a b -> Const a b Source #
Ord (f a) => Ord (Ap f a) Source #	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 #
Ord (f a) => Ord (Alt f a) Source #	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 #
Ord (Coercion a b) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Type.Coercion Methods compare :: Coercion a b -> Coercion a b -> Ordering Source # (<) :: Coercion a b -> Coercion a b -> Bool Source # (<=) :: Coercion a b -> Coercion a b -> Bool Source # (>) :: Coercion a b -> Coercion a b -> Bool Source # (>=) :: Coercion a b -> Coercion a b -> Bool Source # max :: Coercion a b -> Coercion a b -> Coercion a b Source # min :: Coercion a b -> Coercion a b -> Coercion a b Source #
Ord (a :~: b) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Type.Equality Methods compare :: (a :~: b) -> (a :~: b) -> Ordering Source # (<) :: (a :~: b) -> (a :~: b) -> Bool Source # (<=) :: (a :~: b) -> (a :~: b) -> Bool Source # (>) :: (a :~: b) -> (a :~: b) -> Bool Source # (>=) :: (a :~: b) -> (a :~: b) -> Bool Source # max :: (a :~: b) -> (a :~: b) -> a :~: b Source # min :: (a :~: b) -> (a :~: b) -> a :~: b Source #
(Generic1 f, Ord (Rep1 f a)) => Ord (Generically1 f a) Source #	Since: base-4.18.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: Generically1 f a -> Generically1 f a -> Ordering Source # (<) :: Generically1 f a -> Generically1 f a -> Bool Source # (<=) :: Generically1 f a -> Generically1 f a -> Bool Source # (>) :: Generically1 f a -> Generically1 f a -> Bool Source # (>=) :: Generically1 f a -> Generically1 f a -> Bool Source # max :: Generically1 f a -> Generically1 f a -> Generically1 f a Source # min :: Generically1 f a -> Generically1 f a -> Generically1 f a Source #
Ord (f p) => Ord (Rec1 f p) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: Rec1 f p -> Rec1 f p -> Ordering Source # (<) :: Rec1 f p -> Rec1 f p -> Bool Source # (<=) :: Rec1 f p -> Rec1 f p -> Bool Source # (>) :: Rec1 f p -> Rec1 f p -> Bool Source # (>=) :: Rec1 f p -> Rec1 f p -> Bool Source # max :: Rec1 f p -> Rec1 f p -> Rec1 f p Source # min :: Rec1 f p -> Rec1 f p -> Rec1 f p Source #
Ord (URec (Ptr ()) p) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: URec (Ptr ()) p -> URec (Ptr ()) p -> Ordering Source # (<) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool Source # (<=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool Source # (>) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool Source # (>=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool Source # max :: URec (Ptr ()) p -> URec (Ptr ()) p -> URec (Ptr ()) p Source # min :: URec (Ptr ()) p -> URec (Ptr ()) p -> URec (Ptr ()) p Source #
Ord (URec Char p) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: URec Char p -> URec Char p -> Ordering Source # (<) :: URec Char p -> URec Char p -> Bool Source # (<=) :: URec Char p -> URec Char p -> Bool Source # (>) :: URec Char p -> URec Char p -> Bool Source # (>=) :: URec Char p -> URec Char p -> Bool Source # max :: URec Char p -> URec Char p -> URec Char p Source # min :: URec Char p -> URec Char p -> URec Char p Source #
Ord (URec Double p) Source #	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 #
Ord (URec Float p) Source #
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 #
Ord (URec Int p) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: URec Int p -> URec Int p -> Ordering Source # (<) :: URec Int p -> URec Int p -> Bool Source # (<=) :: URec Int p -> URec Int p -> Bool Source # (>) :: URec Int p -> URec Int p -> Bool Source # (>=) :: URec Int p -> URec Int p -> Bool Source # max :: URec Int p -> URec Int p -> URec Int p Source # min :: URec Int p -> URec Int p -> URec Int p Source #
Ord (URec Word p) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: URec Word p -> URec Word p -> Ordering Source # (<) :: URec Word p -> URec Word p -> Bool Source # (<=) :: URec Word p -> URec Word p -> Bool Source # (>) :: URec Word p -> URec Word p -> Bool Source # (>=) :: URec Word p -> URec Word p -> Bool Source # max :: URec Word p -> URec Word p -> URec Word p Source # min :: URec Word p -> URec Word p -> URec Word p Source #
(Ord a, Ord b, Ord c) => Ord (a, b, c) Source #
Instance details Defined in GHC.Internal.Classes Methods compare :: (a, b, c) -> (a, b, c) -> Ordering Source # (<) :: (a, b, c) -> (a, b, c) -> Bool Source # (<=) :: (a, b, c) -> (a, b, c) -> Bool Source # (>) :: (a, b, c) -> (a, b, c) -> Bool Source # (>=) :: (a, b, c) -> (a, b, c) -> Bool Source # max :: (a, b, c) -> (a, b, c) -> (a, b, c) Source # min :: (a, b, c) -> (a, b, c) -> (a, b, c) Source #
(Ord (f a), Ord (g a)) => Ord (Product f g a) Source #	Since: base-4.18.0.0
Instance details Defined in Data.Functor.Product Methods compare :: Product f g a -> Product f g a -> Ordering Source # (<) :: Product f g a -> Product f g a -> Bool Source # (<=) :: Product f g a -> Product f g a -> Bool Source # (>) :: Product f g a -> Product f g a -> Bool Source # (>=) :: Product f g a -> Product f g a -> Bool Source # max :: Product f g a -> Product f g a -> Product f g a Source # min :: Product f g a -> Product f g a -> Product f g a Source #
(Ord (f a), Ord (g a)) => Ord (Sum f g a) Source #	Since: base-4.18.0.0
Instance details Defined in Data.Functor.Sum Methods compare :: Sum f g a -> Sum f g a -> Ordering Source # (<) :: Sum f g a -> Sum f g a -> Bool Source # (<=) :: Sum f g a -> Sum f g a -> Bool Source # (>) :: Sum f g a -> Sum f g a -> Bool Source # (>=) :: Sum f g a -> Sum f g a -> Bool Source # max :: Sum f g a -> Sum f g a -> Sum f g a Source # min :: Sum f g a -> Sum f g a -> Sum f g a Source #
Ord (a :~~: b) Source #	Since: base-4.10.0.0
Instance details Defined in GHC.Internal.Data.Type.Equality Methods compare :: (a :~~: b) -> (a :~~: b) -> Ordering Source # (<) :: (a :~~: b) -> (a :~~: b) -> Bool Source # (<=) :: (a :~~: b) -> (a :~~: b) -> Bool Source # (>) :: (a :~~: b) -> (a :~~: b) -> Bool Source # (>=) :: (a :~~: b) -> (a :~~: b) -> Bool Source # max :: (a :~~: b) -> (a :~~: b) -> a :~~: b Source # min :: (a :~~: b) -> (a :~~: b) -> a :~~: b Source #
(Ord (f p), Ord (g p)) => Ord ((f :*: g) p) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: (f :: g) p -> (f :: g) p -> Ordering Source # (<) :: (f :: g) p -> (f :: g) p -> Bool Source # (<=) :: (f :: g) p -> (f :: g) p -> Bool Source # (>) :: (f :: g) p -> (f :: g) p -> Bool Source # (>=) :: (f :: g) p -> (f :: g) p -> Bool Source # max :: (f :: g) p -> (f :: g) p -> (f :: g) p Source # min :: (f :: g) p -> (f :: g) p -> (f :: g) p Source #
(Ord (f p), Ord (g p)) => Ord ((f :+: g) p) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: (f :+: g) p -> (f :+: g) p -> Ordering Source # (<) :: (f :+: g) p -> (f :+: g) p -> Bool Source # (<=) :: (f :+: g) p -> (f :+: g) p -> Bool Source # (>) :: (f :+: g) p -> (f :+: g) p -> Bool Source # (>=) :: (f :+: g) p -> (f :+: g) p -> Bool Source # max :: (f :+: g) p -> (f :+: g) p -> (f :+: g) p Source # min :: (f :+: g) p -> (f :+: g) p -> (f :+: g) p Source #
Ord c => Ord (K1 i c p) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: K1 i c p -> K1 i c p -> Ordering Source # (<) :: K1 i c p -> K1 i c p -> Bool Source # (<=) :: K1 i c p -> K1 i c p -> Bool Source # (>) :: K1 i c p -> K1 i c p -> Bool Source # (>=) :: K1 i c p -> K1 i c p -> Bool Source # max :: K1 i c p -> K1 i c p -> K1 i c p Source # min :: K1 i c p -> K1 i c p -> K1 i c p Source #
(Ord a, Ord b, Ord c, Ord d) => Ord (a, b, c, d) Source #
Instance details Defined in GHC.Internal.Classes Methods compare :: (a, b, c, d) -> (a, b, c, d) -> Ordering Source # (<) :: (a, b, c, d) -> (a, b, c, d) -> Bool Source # (<=) :: (a, b, c, d) -> (a, b, c, d) -> Bool Source # (>) :: (a, b, c, d) -> (a, b, c, d) -> Bool Source # (>=) :: (a, b, c, d) -> (a, b, c, d) -> Bool Source # max :: (a, b, c, d) -> (a, b, c, d) -> (a, b, c, d) Source # min :: (a, b, c, d) -> (a, b, c, d) -> (a, b, c, d) Source #
Ord (f (g a)) => Ord (Compose f g a) Source #	Since: base-4.18.0.0
Instance details Defined in Data.Functor.Compose Methods compare :: Compose f g a -> Compose f g a -> Ordering Source # (<) :: Compose f g a -> Compose f g a -> Bool Source # (<=) :: Compose f g a -> Compose f g a -> Bool Source # (>) :: Compose f g a -> Compose f g a -> Bool Source # (>=) :: Compose f g a -> Compose f g a -> Bool Source # max :: Compose f g a -> Compose f g a -> Compose f g a Source # min :: Compose f g a -> Compose f g a -> Compose f g a Source #
Ord (f (g p)) => Ord ((f :.: g) p) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: (f :.: g) p -> (f :.: g) p -> Ordering Source # (<) :: (f :.: g) p -> (f :.: g) p -> Bool Source # (<=) :: (f :.: g) p -> (f :.: g) p -> Bool Source # (>) :: (f :.: g) p -> (f :.: g) p -> Bool Source # (>=) :: (f :.: g) p -> (f :.: g) p -> Bool Source # max :: (f :.: g) p -> (f :.: g) p -> (f :.: g) p Source # min :: (f :.: g) p -> (f :.: g) p -> (f :.: g) p Source #
Ord (f p) => Ord (M1 i c f p) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Generics Methods compare :: M1 i c f p -> M1 i c f p -> Ordering Source # (<) :: M1 i c f p -> M1 i c f p -> Bool Source # (<=) :: M1 i c f p -> M1 i c f p -> Bool Source # (>) :: M1 i c f p -> M1 i c f p -> Bool Source # (>=) :: M1 i c f p -> M1 i c f p -> Bool Source # max :: M1 i c f p -> M1 i c f p -> M1 i c f p Source # min :: M1 i c f p -> M1 i c f p -> M1 i c f p Source #
(Ord a, Ord b, Ord c, Ord d, Ord e) => Ord (a, b, c, d, e) Source #
Instance details Defined in GHC.Internal.Classes Methods compare :: (a, b, c, d, e) -> (a, b, c, d, e) -> Ordering Source # (<) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool Source # (<=) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool Source # (>) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool Source # (>=) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool Source # max :: (a, b, c, d, e) -> (a, b, c, d, e) -> (a, b, c, d, e) Source # min :: (a, b, c, d, e) -> (a, b, c, d, e) -> (a, b, c, d, e) Source #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f) => Ord (a, b, c, d, e, f) Source #
Instance details Defined in GHC.Internal.Classes Methods compare :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Ordering Source # (<) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool Source # (<=) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool Source # (>) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool Source # (>=) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool Source # max :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> (a, b, c, d, e, f) Source # min :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> (a, b, c, d, e, f) Source #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g) => Ord (a, b, c, d, e, f, g) Source #
Instance details Defined in GHC.Internal.Classes Methods compare :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Ordering Source # (<) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool Source # (<=) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool Source # (>) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool Source # (>=) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool Source # max :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) Source # min :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) Source #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h) => Ord (a, b, c, d, e, f, g, h) Source #
Instance details Defined in GHC.Internal.Classes Methods compare :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Ordering Source # (<) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool Source # (<=) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool Source # (>) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool Source # (>=) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool Source # max :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) Source # min :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) Source #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i) => Ord (a, b, c, d, e, f, g, h, i) Source #
Instance details Defined in GHC.Internal.Classes Methods compare :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Ordering Source # (<) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool Source # (<=) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool Source # (>) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool Source # (>=) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool Source # max :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) Source # min :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) Source #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j) => Ord (a, b, c, d, e, f, g, h, i, j) Source #
Instance details Defined in GHC.Internal.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Ordering Source # (<) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool Source # (<=) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool Source # (>) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool Source # (>=) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool Source # max :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) Source # min :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) Source #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k) => Ord (a, b, c, d, e, f, g, h, i, j, k) Source #
Instance details Defined in GHC.Internal.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Ordering Source # (<) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool Source # (<=) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool Source # (>) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool Source # (>=) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool Source # max :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) Source # min :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) Source #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k, Ord l) => Ord (a, b, c, d, e, f, g, h, i, j, k, l) Source #
Instance details Defined in GHC.Internal.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Ordering Source # (<) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool Source # (<=) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool Source # (>) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool Source # (>=) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool Source # max :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) Source # min :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) Source #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k, Ord l, Ord m) => Ord (a, b, c, d, e, f, g, h, i, j, k, l, m) Source #
Instance details Defined in GHC.Internal.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Ordering Source # (<) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool Source # (<=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool Source # (>) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool Source # (>=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool Source # max :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) Source # min :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) Source #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k, Ord l, Ord m, Ord n) => Ord (a, b, c, d, e, f, g, h, i, j, k, l, m, n) Source #
Instance details Defined in GHC.Internal.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Ordering Source # (<) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool Source # (<=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool Source # (>) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool Source # (>=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool Source # max :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) Source # min :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) Source #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k, Ord l, Ord m, Ord n, Ord o) => Ord (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) Source #
Instance details Defined in GHC.Internal.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Ordering Source # (<) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool Source # (<=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool Source # (>) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool Source # (>=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool Source # max :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) Source # min :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) Source #

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 IoManagerFlag Source #
Instance details Defined in GHC.RTS.Flags Methods succ :: IoManagerFlag -> IoManagerFlag Source # pred :: IoManagerFlag -> IoManagerFlag Source # toEnum :: Int -> IoManagerFlag Source # fromEnum :: IoManagerFlag -> Int Source # enumFrom :: IoManagerFlag -> [IoManagerFlag] Source # enumFromThen :: IoManagerFlag -> IoManagerFlag -> [IoManagerFlag] Source # enumFromTo :: IoManagerFlag -> IoManagerFlag -> [IoManagerFlag] Source # enumFromThenTo :: IoManagerFlag -> IoManagerFlag -> IoManagerFlag -> [IoManagerFlag] Source #
Enum ByteOrder Source #	Since: base-4.11.0.0
Instance details Defined in GHC.Internal.ByteOrder Methods succ :: ByteOrder -> ByteOrder Source # pred :: ByteOrder -> ByteOrder Source # toEnum :: Int -> ByteOrder Source # fromEnum :: ByteOrder -> Int Source # enumFrom :: ByteOrder -> [ByteOrder] Source # enumFromThen :: ByteOrder -> ByteOrder -> [ByteOrder] Source # enumFromTo :: ByteOrder -> ByteOrder -> [ByteOrder] Source # enumFromThenTo :: ByteOrder -> ByteOrder -> ByteOrder -> [ByteOrder] Source #
Enum ClosureType Source #
Instance details Defined in GHC.Internal.ClosureTypes Methods succ :: ClosureType -> ClosureType Source # pred :: ClosureType -> ClosureType Source # toEnum :: Int -> ClosureType Source # fromEnum :: ClosureType -> Int Source # enumFrom :: ClosureType -> [ClosureType] Source # enumFromThen :: ClosureType -> ClosureType -> [ClosureType] Source # enumFromTo :: ClosureType -> ClosureType -> [ClosureType] Source # enumFromThenTo :: ClosureType -> ClosureType -> ClosureType -> [ClosureType] Source #
Enum CBool Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CBool -> CBool Source # pred :: CBool -> CBool Source # toEnum :: Int -> CBool Source # fromEnum :: CBool -> Int Source # enumFrom :: CBool -> [CBool] Source # enumFromThen :: CBool -> CBool -> [CBool] Source # enumFromTo :: CBool -> CBool -> [CBool] Source # enumFromThenTo :: CBool -> CBool -> CBool -> [CBool] Source #
Enum CChar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CChar -> CChar Source # pred :: CChar -> CChar Source # toEnum :: Int -> CChar Source # fromEnum :: CChar -> Int Source # enumFrom :: CChar -> [CChar] Source # enumFromThen :: CChar -> CChar -> [CChar] Source # enumFromTo :: CChar -> CChar -> [CChar] Source # enumFromThenTo :: CChar -> CChar -> CChar -> [CChar] Source #
Enum CClock Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CClock -> CClock Source # pred :: CClock -> CClock Source # toEnum :: Int -> CClock Source # fromEnum :: CClock -> Int Source # enumFrom :: CClock -> [CClock] Source # enumFromThen :: CClock -> CClock -> [CClock] Source # enumFromTo :: CClock -> CClock -> [CClock] Source # enumFromThenTo :: CClock -> CClock -> CClock -> [CClock] Source #
Enum CDouble Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CDouble -> CDouble Source # pred :: CDouble -> CDouble Source # toEnum :: Int -> CDouble Source # fromEnum :: CDouble -> Int Source # enumFrom :: CDouble -> [CDouble] Source # enumFromThen :: CDouble -> CDouble -> [CDouble] Source # enumFromTo :: CDouble -> CDouble -> [CDouble] Source # enumFromThenTo :: CDouble -> CDouble -> CDouble -> [CDouble] Source #
Enum CFloat Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CFloat -> CFloat Source # pred :: CFloat -> CFloat Source # toEnum :: Int -> CFloat Source # fromEnum :: CFloat -> Int Source # enumFrom :: CFloat -> [CFloat] Source # enumFromThen :: CFloat -> CFloat -> [CFloat] Source # enumFromTo :: CFloat -> CFloat -> [CFloat] Source # enumFromThenTo :: CFloat -> CFloat -> CFloat -> [CFloat] Source #
Enum CInt Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CInt -> CInt Source # pred :: CInt -> CInt Source # toEnum :: Int -> CInt Source # fromEnum :: CInt -> Int Source # enumFrom :: CInt -> [CInt] Source # enumFromThen :: CInt -> CInt -> [CInt] Source # enumFromTo :: CInt -> CInt -> [CInt] Source # enumFromThenTo :: CInt -> CInt -> CInt -> [CInt] Source #
Enum CIntMax Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CIntMax -> CIntMax Source # pred :: CIntMax -> CIntMax Source # toEnum :: Int -> CIntMax Source # fromEnum :: CIntMax -> Int Source # enumFrom :: CIntMax -> [CIntMax] Source # enumFromThen :: CIntMax -> CIntMax -> [CIntMax] Source # enumFromTo :: CIntMax -> CIntMax -> [CIntMax] Source # enumFromThenTo :: CIntMax -> CIntMax -> CIntMax -> [CIntMax] Source #
Enum CIntPtr Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CIntPtr -> CIntPtr Source # pred :: CIntPtr -> CIntPtr Source # toEnum :: Int -> CIntPtr Source # fromEnum :: CIntPtr -> Int Source # enumFrom :: CIntPtr -> [CIntPtr] Source # enumFromThen :: CIntPtr -> CIntPtr -> [CIntPtr] Source # enumFromTo :: CIntPtr -> CIntPtr -> [CIntPtr] Source # enumFromThenTo :: CIntPtr -> CIntPtr -> CIntPtr -> [CIntPtr] Source #
Enum CLLong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CLLong -> CLLong Source # pred :: CLLong -> CLLong Source # toEnum :: Int -> CLLong Source # fromEnum :: CLLong -> Int Source # enumFrom :: CLLong -> [CLLong] Source # enumFromThen :: CLLong -> CLLong -> [CLLong] Source # enumFromTo :: CLLong -> CLLong -> [CLLong] Source # enumFromThenTo :: CLLong -> CLLong -> CLLong -> [CLLong] Source #
Enum CLong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CLong -> CLong Source # pred :: CLong -> CLong Source # toEnum :: Int -> CLong Source # fromEnum :: CLong -> Int Source # enumFrom :: CLong -> [CLong] Source # enumFromThen :: CLong -> CLong -> [CLong] Source # enumFromTo :: CLong -> CLong -> [CLong] Source # enumFromThenTo :: CLong -> CLong -> CLong -> [CLong] Source #
Enum CPtrdiff Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CPtrdiff -> CPtrdiff Source # pred :: CPtrdiff -> CPtrdiff Source # toEnum :: Int -> CPtrdiff Source # fromEnum :: CPtrdiff -> Int Source # enumFrom :: CPtrdiff -> [CPtrdiff] Source # enumFromThen :: CPtrdiff -> CPtrdiff -> [CPtrdiff] Source # enumFromTo :: CPtrdiff -> CPtrdiff -> [CPtrdiff] Source # enumFromThenTo :: CPtrdiff -> CPtrdiff -> CPtrdiff -> [CPtrdiff] Source #
Enum CSChar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CSChar -> CSChar Source # pred :: CSChar -> CSChar Source # toEnum :: Int -> CSChar Source # fromEnum :: CSChar -> Int Source # enumFrom :: CSChar -> [CSChar] Source # enumFromThen :: CSChar -> CSChar -> [CSChar] Source # enumFromTo :: CSChar -> CSChar -> [CSChar] Source # enumFromThenTo :: CSChar -> CSChar -> CSChar -> [CSChar] Source #
Enum CSUSeconds Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CSUSeconds -> CSUSeconds Source # pred :: CSUSeconds -> CSUSeconds Source # toEnum :: Int -> CSUSeconds Source # fromEnum :: CSUSeconds -> Int Source # enumFrom :: CSUSeconds -> [CSUSeconds] Source # enumFromThen :: CSUSeconds -> CSUSeconds -> [CSUSeconds] Source # enumFromTo :: CSUSeconds -> CSUSeconds -> [CSUSeconds] Source # enumFromThenTo :: CSUSeconds -> CSUSeconds -> CSUSeconds -> [CSUSeconds] Source #
Enum CShort Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CShort -> CShort Source # pred :: CShort -> CShort Source # toEnum :: Int -> CShort Source # fromEnum :: CShort -> Int Source # enumFrom :: CShort -> [CShort] Source # enumFromThen :: CShort -> CShort -> [CShort] Source # enumFromTo :: CShort -> CShort -> [CShort] Source # enumFromThenTo :: CShort -> CShort -> CShort -> [CShort] Source #
Enum CSigAtomic Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CSigAtomic -> CSigAtomic Source # pred :: CSigAtomic -> CSigAtomic Source # toEnum :: Int -> CSigAtomic Source # fromEnum :: CSigAtomic -> Int Source # enumFrom :: CSigAtomic -> [CSigAtomic] Source # enumFromThen :: CSigAtomic -> CSigAtomic -> [CSigAtomic] Source # enumFromTo :: CSigAtomic -> CSigAtomic -> [CSigAtomic] Source # enumFromThenTo :: CSigAtomic -> CSigAtomic -> CSigAtomic -> [CSigAtomic] Source #
Enum CSize Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CSize -> CSize Source # pred :: CSize -> CSize Source # toEnum :: Int -> CSize Source # fromEnum :: CSize -> Int Source # enumFrom :: CSize -> [CSize] Source # enumFromThen :: CSize -> CSize -> [CSize] Source # enumFromTo :: CSize -> CSize -> [CSize] Source # enumFromThenTo :: CSize -> CSize -> CSize -> [CSize] Source #
Enum CTime Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CTime -> CTime Source # pred :: CTime -> CTime Source # toEnum :: Int -> CTime Source # fromEnum :: CTime -> Int Source # enumFrom :: CTime -> [CTime] Source # enumFromThen :: CTime -> CTime -> [CTime] Source # enumFromTo :: CTime -> CTime -> [CTime] Source # enumFromThenTo :: CTime -> CTime -> CTime -> [CTime] Source #
Enum CUChar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CUChar -> CUChar Source # pred :: CUChar -> CUChar Source # toEnum :: Int -> CUChar Source # fromEnum :: CUChar -> Int Source # enumFrom :: CUChar -> [CUChar] Source # enumFromThen :: CUChar -> CUChar -> [CUChar] Source # enumFromTo :: CUChar -> CUChar -> [CUChar] Source # enumFromThenTo :: CUChar -> CUChar -> CUChar -> [CUChar] Source #
Enum CUInt Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CUInt -> CUInt Source # pred :: CUInt -> CUInt Source # toEnum :: Int -> CUInt Source # fromEnum :: CUInt -> Int Source # enumFrom :: CUInt -> [CUInt] Source # enumFromThen :: CUInt -> CUInt -> [CUInt] Source # enumFromTo :: CUInt -> CUInt -> [CUInt] Source # enumFromThenTo :: CUInt -> CUInt -> CUInt -> [CUInt] Source #
Enum CUIntMax Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CUIntMax -> CUIntMax Source # pred :: CUIntMax -> CUIntMax Source # toEnum :: Int -> CUIntMax Source # fromEnum :: CUIntMax -> Int Source # enumFrom :: CUIntMax -> [CUIntMax] Source # enumFromThen :: CUIntMax -> CUIntMax -> [CUIntMax] Source # enumFromTo :: CUIntMax -> CUIntMax -> [CUIntMax] Source # enumFromThenTo :: CUIntMax -> CUIntMax -> CUIntMax -> [CUIntMax] Source #
Enum CUIntPtr Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CUIntPtr -> CUIntPtr Source # pred :: CUIntPtr -> CUIntPtr Source # toEnum :: Int -> CUIntPtr Source # fromEnum :: CUIntPtr -> Int Source # enumFrom :: CUIntPtr -> [CUIntPtr] Source # enumFromThen :: CUIntPtr -> CUIntPtr -> [CUIntPtr] Source # enumFromTo :: CUIntPtr -> CUIntPtr -> [CUIntPtr] Source # enumFromThenTo :: CUIntPtr -> CUIntPtr -> CUIntPtr -> [CUIntPtr] Source #
Enum CULLong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CULLong -> CULLong Source # pred :: CULLong -> CULLong Source # toEnum :: Int -> CULLong Source # fromEnum :: CULLong -> Int Source # enumFrom :: CULLong -> [CULLong] Source # enumFromThen :: CULLong -> CULLong -> [CULLong] Source # enumFromTo :: CULLong -> CULLong -> [CULLong] Source # enumFromThenTo :: CULLong -> CULLong -> CULLong -> [CULLong] Source #
Enum CULong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CULong -> CULong Source # pred :: CULong -> CULong Source # toEnum :: Int -> CULong Source # fromEnum :: CULong -> Int Source # enumFrom :: CULong -> [CULong] Source # enumFromThen :: CULong -> CULong -> [CULong] Source # enumFromTo :: CULong -> CULong -> [CULong] Source # enumFromThenTo :: CULong -> CULong -> CULong -> [CULong] Source #
Enum CUSeconds Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CUSeconds -> CUSeconds Source # pred :: CUSeconds -> CUSeconds Source # toEnum :: Int -> CUSeconds Source # fromEnum :: CUSeconds -> Int Source # enumFrom :: CUSeconds -> [CUSeconds] Source # enumFromThen :: CUSeconds -> CUSeconds -> [CUSeconds] Source # enumFromTo :: CUSeconds -> CUSeconds -> [CUSeconds] Source # enumFromThenTo :: CUSeconds -> CUSeconds -> CUSeconds -> [CUSeconds] Source #
Enum CUShort Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CUShort -> CUShort Source # pred :: CUShort -> CUShort Source # toEnum :: Int -> CUShort Source # fromEnum :: CUShort -> Int Source # enumFrom :: CUShort -> [CUShort] Source # enumFromThen :: CUShort -> CUShort -> [CUShort] Source # enumFromTo :: CUShort -> CUShort -> [CUShort] Source # enumFromThenTo :: CUShort -> CUShort -> CUShort -> [CUShort] Source #
Enum CWchar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods succ :: CWchar -> CWchar Source # pred :: CWchar -> CWchar Source # toEnum :: Int -> CWchar Source # fromEnum :: CWchar -> Int Source # enumFrom :: CWchar -> [CWchar] Source # enumFromThen :: CWchar -> CWchar -> [CWchar] Source # enumFromTo :: CWchar -> CWchar -> [CWchar] Source # enumFromThenTo :: CWchar -> CWchar -> CWchar -> [CWchar] Source #
Enum IntPtr Source #
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 Source #
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 Source #	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 Source #	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 Source #	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 Source #	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 HalfWord Source #
Instance details Defined in GHC.Internal.Heap.InfoTable.Types Methods succ :: HalfWord -> HalfWord Source # pred :: HalfWord -> HalfWord Source # toEnum :: Int -> HalfWord Source # fromEnum :: HalfWord -> Int Source # enumFrom :: HalfWord -> [HalfWord] Source # enumFromThen :: HalfWord -> HalfWord -> [HalfWord] Source # enumFromTo :: HalfWord -> HalfWord -> [HalfWord] Source # enumFromThenTo :: HalfWord -> HalfWord -> HalfWord -> [HalfWord] Source #
Enum SeekMode Source #	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 Source #	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 IoSubSystem Source #
Instance details Defined in GHC.Internal.IO.SubSystem Methods succ :: IoSubSystem -> IoSubSystem Source # pred :: IoSubSystem -> IoSubSystem Source # toEnum :: Int -> IoSubSystem Source # fromEnum :: IoSubSystem -> Int Source # enumFrom :: IoSubSystem -> [IoSubSystem] Source # enumFromThen :: IoSubSystem -> IoSubSystem -> [IoSubSystem] Source # enumFromTo :: IoSubSystem -> IoSubSystem -> [IoSubSystem] Source # enumFromThenTo :: IoSubSystem -> IoSubSystem -> IoSubSystem -> [IoSubSystem] Source #
Enum Int16 Source #	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 Source #	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 Source #	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 Source #	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 Extension Source #
Instance details Defined in GHC.Internal.LanguageExtensions Methods succ :: Extension -> Extension Source # pred :: Extension -> Extension Source # toEnum :: Int -> Extension Source # fromEnum :: Extension -> Int Source # enumFrom :: Extension -> [Extension] Source # enumFromThen :: Extension -> Extension -> [Extension] Source # enumFromTo :: Extension -> Extension -> [Extension] Source # enumFromThenTo :: Extension -> Extension -> Extension -> [Extension] Source #
Enum DoCostCentres Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.RTS.Flags Methods succ :: DoCostCentres -> DoCostCentres Source # pred :: DoCostCentres -> DoCostCentres Source # toEnum :: Int -> DoCostCentres Source # fromEnum :: DoCostCentres -> Int Source # enumFrom :: DoCostCentres -> [DoCostCentres] Source # enumFromThen :: DoCostCentres -> DoCostCentres -> [DoCostCentres] Source # enumFromTo :: DoCostCentres -> DoCostCentres -> [DoCostCentres] Source # enumFromThenTo :: DoCostCentres -> DoCostCentres -> DoCostCentres -> [DoCostCentres] Source #
Enum DoHeapProfile Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.RTS.Flags Methods succ :: DoHeapProfile -> DoHeapProfile Source # pred :: DoHeapProfile -> DoHeapProfile Source # toEnum :: Int -> DoHeapProfile Source # fromEnum :: DoHeapProfile -> Int Source # enumFrom :: DoHeapProfile -> [DoHeapProfile] Source # enumFromThen :: DoHeapProfile -> DoHeapProfile -> [DoHeapProfile] Source # enumFromTo :: DoHeapProfile -> DoHeapProfile -> [DoHeapProfile] Source # enumFromThenTo :: DoHeapProfile -> DoHeapProfile -> DoHeapProfile -> [DoHeapProfile] Source #
Enum DoTrace Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.RTS.Flags Methods succ :: DoTrace -> DoTrace Source # pred :: DoTrace -> DoTrace Source # toEnum :: Int -> DoTrace Source # fromEnum :: DoTrace -> Int Source # enumFrom :: DoTrace -> [DoTrace] Source # enumFromThen :: DoTrace -> DoTrace -> [DoTrace] Source # enumFromTo :: DoTrace -> DoTrace -> [DoTrace] Source # enumFromThenTo :: DoTrace -> DoTrace -> DoTrace -> [DoTrace] Source #
Enum GiveGCStats Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.RTS.Flags Methods succ :: GiveGCStats -> GiveGCStats Source # pred :: GiveGCStats -> GiveGCStats Source # toEnum :: Int -> GiveGCStats Source # fromEnum :: GiveGCStats -> Int Source # enumFrom :: GiveGCStats -> [GiveGCStats] Source # enumFromThen :: GiveGCStats -> GiveGCStats -> [GiveGCStats] Source # enumFromTo :: GiveGCStats -> GiveGCStats -> [GiveGCStats] Source # enumFromThenTo :: GiveGCStats -> GiveGCStats -> GiveGCStats -> [GiveGCStats] Source #
Enum IoManagerFlag Source #
Instance details Defined in GHC.Internal.RTS.Flags Methods succ :: IoManagerFlag -> IoManagerFlag Source # pred :: IoManagerFlag -> IoManagerFlag Source # toEnum :: Int -> IoManagerFlag Source # fromEnum :: IoManagerFlag -> Int Source # enumFrom :: IoManagerFlag -> [IoManagerFlag] Source # enumFromThen :: IoManagerFlag -> IoManagerFlag -> [IoManagerFlag] Source # enumFromTo :: IoManagerFlag -> IoManagerFlag -> [IoManagerFlag] Source # enumFromThenTo :: IoManagerFlag -> IoManagerFlag -> IoManagerFlag -> [IoManagerFlag] Source #
Enum ByteOffset Source #
Instance details Defined in GHC.Internal.Stack.Constants Methods succ :: ByteOffset -> ByteOffset Source # pred :: ByteOffset -> ByteOffset Source # toEnum :: Int -> ByteOffset Source # fromEnum :: ByteOffset -> Int Source # enumFrom :: ByteOffset -> [ByteOffset] Source # enumFromThen :: ByteOffset -> ByteOffset -> [ByteOffset] Source # enumFromTo :: ByteOffset -> ByteOffset -> [ByteOffset] Source # enumFromThenTo :: ByteOffset -> ByteOffset -> ByteOffset -> [ByteOffset] Source #
Enum WordOffset Source #
Instance details Defined in GHC.Internal.Stack.Constants Methods succ :: WordOffset -> WordOffset Source # pred :: WordOffset -> WordOffset Source # toEnum :: Int -> WordOffset Source # fromEnum :: WordOffset -> Int Source # enumFrom :: WordOffset -> [WordOffset] Source # enumFromThen :: WordOffset -> WordOffset -> [WordOffset] Source # enumFromTo :: WordOffset -> WordOffset -> [WordOffset] Source # enumFromThenTo :: WordOffset -> WordOffset -> WordOffset -> [WordOffset] Source #
Enum ByteOffset Source #
Instance details Defined in GHC.Internal.Stack.ConstantsProf Methods succ :: ByteOffset -> ByteOffset Source # pred :: ByteOffset -> ByteOffset Source # toEnum :: Int -> ByteOffset Source # fromEnum :: ByteOffset -> Int Source # enumFrom :: ByteOffset -> [ByteOffset] Source # enumFromThen :: ByteOffset -> ByteOffset -> [ByteOffset] Source # enumFromTo :: ByteOffset -> ByteOffset -> [ByteOffset] Source # enumFromThenTo :: ByteOffset -> ByteOffset -> ByteOffset -> [ByteOffset] Source #
Enum WordOffset Source #
Instance details Defined in GHC.Internal.Stack.ConstantsProf Methods succ :: WordOffset -> WordOffset Source # pred :: WordOffset -> WordOffset Source # toEnum :: Int -> WordOffset Source # fromEnum :: WordOffset -> Int Source # enumFrom :: WordOffset -> [WordOffset] Source # enumFromThen :: WordOffset -> WordOffset -> [WordOffset] Source # enumFromTo :: WordOffset -> WordOffset -> [WordOffset] Source # enumFromThenTo :: WordOffset -> WordOffset -> WordOffset -> [WordOffset] Source #
Enum CBlkCnt Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Ordering Source #	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 GeneralCategory Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Integer Source #	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 Source #	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 () Source #	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 Source #	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 Source #	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 Source #	`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 Source #	`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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #
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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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 #
Coercible a b => Enum (Coercion a b) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Type.Coercion Methods succ :: Coercion a b -> Coercion a b Source # pred :: Coercion a b -> Coercion a b Source # toEnum :: Int -> Coercion a b Source # fromEnum :: Coercion a b -> Int Source # enumFrom :: Coercion a b -> [Coercion a b] Source # enumFromThen :: Coercion a b -> Coercion a b -> [Coercion a b] Source # enumFromTo :: Coercion a b -> Coercion a b -> [Coercion a b] Source # enumFromThenTo :: Coercion a b -> Coercion a b -> Coercion a b -> [Coercion a b] Source #
a ~ b => Enum (a :~: b) Source #	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) Source #	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) Source #	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 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 ByteOrder Source #	Since: base-4.11.0.0
Instance details Defined in GHC.Internal.ByteOrder Methods minBound :: ByteOrder Source # maxBound :: ByteOrder Source #
Bounded All Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods minBound :: All Source # maxBound :: All Source #
Bounded Any Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods minBound :: Any Source # maxBound :: Any Source #
Bounded CBool Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CBool Source # maxBound :: CBool Source #
Bounded CChar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CChar Source # maxBound :: CChar Source #
Bounded CInt Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CInt Source # maxBound :: CInt Source #
Bounded CIntMax Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CIntMax Source # maxBound :: CIntMax Source #
Bounded CIntPtr Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CIntPtr Source # maxBound :: CIntPtr Source #
Bounded CLLong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CLLong Source # maxBound :: CLLong Source #
Bounded CLong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CLong Source # maxBound :: CLong Source #
Bounded CPtrdiff Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CPtrdiff Source # maxBound :: CPtrdiff Source #
Bounded CSChar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CSChar Source # maxBound :: CSChar Source #
Bounded CShort Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CShort Source # maxBound :: CShort Source #
Bounded CSigAtomic Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CSigAtomic Source # maxBound :: CSigAtomic Source #
Bounded CSize Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CSize Source # maxBound :: CSize Source #
Bounded CUChar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CUChar Source # maxBound :: CUChar Source #
Bounded CUInt Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CUInt Source # maxBound :: CUInt Source #
Bounded CUIntMax Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CUIntMax Source # maxBound :: CUIntMax Source #
Bounded CUIntPtr Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CUIntPtr Source # maxBound :: CUIntPtr Source #
Bounded CULLong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CULLong Source # maxBound :: CULLong Source #
Bounded CULong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CULong Source # maxBound :: CULong Source #
Bounded CUShort Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CUShort Source # maxBound :: CUShort Source #
Bounded CWchar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods minBound :: CWchar Source # maxBound :: CWchar Source #
Bounded IntPtr Source #
Instance details Defined in GHC.Internal.Foreign.Ptr Methods minBound :: IntPtr Source # maxBound :: IntPtr Source #
Bounded WordPtr Source #
Instance details Defined in GHC.Internal.Foreign.Ptr Methods minBound :: WordPtr Source # maxBound :: WordPtr Source #
Bounded Associativity Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods minBound :: Associativity Source # maxBound :: Associativity Source #
Bounded DecidedStrictness Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods minBound :: DecidedStrictness Source # maxBound :: DecidedStrictness Source #
Bounded SourceStrictness Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods minBound :: SourceStrictness Source # maxBound :: SourceStrictness Source #
Bounded SourceUnpackedness Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods minBound :: SourceUnpackedness Source # maxBound :: SourceUnpackedness Source #
Bounded Int16 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods minBound :: Int16 Source # maxBound :: Int16 Source #
Bounded Int32 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods minBound :: Int32 Source # maxBound :: Int32 Source #
Bounded Int64 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods minBound :: Int64 Source # maxBound :: Int64 Source #
Bounded Int8 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods minBound :: Int8 Source # maxBound :: Int8 Source #
Bounded Extension Source #
Instance details Defined in GHC.Internal.LanguageExtensions Methods minBound :: Extension Source # maxBound :: Extension Source #
Bounded CBlkCnt Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CBlkCnt Source # maxBound :: CBlkCnt Source #
Bounded CBlkSize Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CBlkSize Source # maxBound :: CBlkSize Source #
Bounded CClockId Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CClockId Source # maxBound :: CClockId Source #
Bounded CDev Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CDev Source # maxBound :: CDev Source #
Bounded CFsBlkCnt Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CFsBlkCnt Source # maxBound :: CFsBlkCnt Source #
Bounded CFsFilCnt Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CFsFilCnt Source # maxBound :: CFsFilCnt Source #
Bounded CGid Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CGid Source # maxBound :: CGid Source #
Bounded CId Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CId Source # maxBound :: CId Source #
Bounded CIno Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CIno Source # maxBound :: CIno Source #
Bounded CKey Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CKey Source # maxBound :: CKey Source #
Bounded CMode Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CMode Source # maxBound :: CMode Source #
Bounded CNfds Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CNfds Source # maxBound :: CNfds Source #
Bounded CNlink Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CNlink Source # maxBound :: CNlink Source #
Bounded COff Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: COff Source # maxBound :: COff Source #
Bounded CPid Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CPid Source # maxBound :: CPid Source #
Bounded CRLim Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CRLim Source # maxBound :: CRLim Source #
Bounded CSocklen Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CSocklen Source # maxBound :: CSocklen Source #
Bounded CSsize Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CSsize Source # maxBound :: CSsize Source #
Bounded CTcflag Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CTcflag Source # maxBound :: CTcflag Source #
Bounded CUid Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: CUid Source # maxBound :: CUid Source #
Bounded Fd Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods minBound :: Fd Source # maxBound :: Fd Source #
Bounded Ordering Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods minBound :: Ordering Source # maxBound :: Ordering Source #
Bounded GeneralCategory Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Unicode Methods minBound :: GeneralCategory Source # maxBound :: GeneralCategory Source #
Bounded Word16 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods minBound :: Word16 Source # maxBound :: Word16 Source #
Bounded Word32 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods minBound :: Word32 Source # maxBound :: Word32 Source #
Bounded Word64 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods minBound :: Word64 Source # maxBound :: Word64 Source #
Bounded Word8 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods minBound :: Word8 Source # maxBound :: Word8 Source #
Bounded () Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods minBound :: () Source # maxBound :: () Source #
Bounded Bool Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods minBound :: Bool Source # maxBound :: Bool Source #
Bounded Char Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods minBound :: Char Source # maxBound :: Char Source #
Bounded Int Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods minBound :: Int Source # maxBound :: Int Source #
Bounded Levity Source #	Since: base-4.16.0.0
Instance details Defined in GHC.Internal.Enum Methods minBound :: Levity Source # maxBound :: Levity Source #
Bounded VecCount Source #	Since: base-4.10.0.0
Instance details Defined in GHC.Internal.Enum Methods minBound :: VecCount Source # maxBound :: VecCount Source #
Bounded VecElem Source #	Since: base-4.10.0.0
Instance details Defined in GHC.Internal.Enum Methods minBound :: VecElem Source # maxBound :: VecElem Source #
Bounded Word Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods minBound :: Word Source # maxBound :: Word Source #
Bounded a => Bounded (First a) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #
Instance details Defined in GHC.Internal.Enum Methods minBound :: Solo a Source # maxBound :: Solo a Source #
Bounded (Proxy t) Source #	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) Source #	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) Source #	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) Source #	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 #
Coercible a b => Bounded (Coercion a b) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Type.Coercion Methods minBound :: Coercion a b Source # maxBound :: Coercion a b Source #
a ~ b => Bounded (a :~: b) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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 #

Numbers

Numeric types

data Int Source #

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

Instances

Instances details

PrintfArg Int Source #

Since: base-2.1

Instance details

Defined in Text.Printf

Methods

formatArg :: Int -> FieldFormatter Source #

parseFormat :: Int -> ModifierParser Source #

Bits Int Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Bits

Methods

(.&.) :: Int -> Int -> Int Source #

(.|.) :: Int -> Int -> Int Source #

xor :: Int -> Int -> Int Source #

complement :: Int -> Int Source #

shift :: Int -> Int -> Int Source #

rotate :: Int -> Int -> Int Source #

zeroBits :: Int Source #

bit :: Int -> Int Source #

setBit :: Int -> Int -> Int Source #

clearBit :: Int -> Int -> Int Source #

complementBit :: Int -> Int -> Int Source #

testBit :: Int -> Int -> Bool Source #

bitSizeMaybe :: Int -> Maybe Int Source #

bitSize :: Int -> Int Source #

isSigned :: Int -> Bool Source #

shiftL :: Int -> Int -> Int Source #

unsafeShiftL :: Int -> Int -> Int Source #

shiftR :: Int -> Int -> Int Source #

unsafeShiftR :: Int -> Int -> Int Source #

rotateL :: Int -> Int -> Int Source #

rotateR :: Int -> Int -> Int Source #

popCount :: Int -> Int Source #

FiniteBits Int Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Bits

Methods

finiteBitSize :: Int -> Int Source #

countLeadingZeros :: Int -> Int Source #

countTrailingZeros :: Int -> Int Source #

Eq Int Source #

Instance details

Defined in GHC.Internal.Classes

Methods

(==) :: Int -> Int -> Bool Source #

(/=) :: Int -> Int -> Bool Source #

Ord Int Source #

Instance details

Defined in GHC.Internal.Classes

Methods

compare :: Int -> Int -> Ordering Source #

(<) :: Int -> Int -> Bool Source #

(<=) :: Int -> Int -> Bool Source #

(>) :: Int -> Int -> Bool Source #

(>=) :: Int -> Int -> Bool Source #

max :: Int -> Int -> Int Source #

min :: Int -> Int -> Int Source #

Data Int Source #

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) -> Int -> c Int Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Int Source #

toConstr :: Int -> Constr Source #

dataTypeOf :: Int -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Int) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Int) Source #

gmapT :: (forall b. Data b => b -> b) -> Int -> Int Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Int -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Int -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Int -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Int -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Int -> m Int Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Int -> m Int Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Int -> m Int Source #

Bounded Int Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Methods

minBound :: Int Source #

maxBound :: Int Source #

Enum Int Source #

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 #

Storable Int Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Foreign.Storable

Methods

sizeOf :: Int -> Int Source #

alignment :: Int -> Int Source #

peekElemOff :: Ptr Int -> Int -> IO Int Source #

pokeElemOff :: Ptr Int -> Int -> Int -> IO () Source #

peekByteOff :: Ptr b -> Int -> IO Int Source #

pokeByteOff :: Ptr b -> Int -> Int -> IO () Source #

peek :: Ptr Int -> IO Int Source #

poke :: Ptr Int -> Int -> IO () Source #

Ix Int Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Ix

Methods

range :: (Int, Int) -> [Int] Source #

index :: (Int, Int) -> Int -> Int Source #

unsafeIndex :: (Int, Int) -> Int -> Int Source #

inRange :: (Int, Int) -> Int -> Bool Source #

rangeSize :: (Int, Int) -> Int Source #

unsafeRangeSize :: (Int, Int) -> Int Source #

Num Int Source #

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 #

Read Int Source #

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 #

Integral Int Source #

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 #

Real Int Source #

Since: base-2.0.1

Instance details

Defined in GHC.Internal.Real

Methods

toRational :: Int -> Rational Source #

Show Int Source #

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 #

Lift Int Source #

Instance details

Defined in GHC.Internal.TH.Lift

Methods

lift :: Quote m => Int -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => Int -> Code m Int Source #

Generic1 (URec Int :: k -> Type) Source #

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 #

Eq1 (UInt :: Type -> Type) Source #

Since: base-4.21.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftEq :: (a -> b -> Bool) -> UInt a -> UInt b -> Bool Source #

Ord1 (UInt :: Type -> Type) Source #

Since: base-4.21.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftCompare :: (a -> b -> Ordering) -> UInt a -> UInt b -> Ordering Source #

Show1 (UInt :: Type -> Type) Source #

Since: base-4.21.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> UInt a -> ShowS Source #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [UInt a] -> ShowS Source #

Foldable (UInt :: Type -> Type) Source #

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 #

Traversable (UInt :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Data.Traversable

Methods

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

sequenceA :: Applicative f => UInt (f a) -> f (UInt a) Source #

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

sequence :: Monad m => UInt (m a) -> m (UInt a) Source #

Functor (URec Int :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

fmap :: (a -> b) -> URec Int a -> URec Int b Source #

(<$) :: a -> URec Int b -> URec Int a Source #

Eq (URec Int p) Source #

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 #

Ord (URec Int p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

compare :: URec Int p -> URec Int p -> Ordering Source #

(<) :: URec Int p -> URec Int p -> Bool Source #

(<=) :: URec Int p -> URec Int p -> Bool Source #

(>) :: URec Int p -> URec Int p -> Bool Source #

(>=) :: URec Int p -> URec Int p -> Bool Source #

max :: URec Int p -> URec Int p -> URec Int p Source #

min :: URec Int p -> URec Int p -> URec Int p Source #

Generic (URec Int p) Source #

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 #

Show (URec Int p) Source #

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 #

data URec Int (p :: k) Source #

Used for marking occurrences of Int#

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

data URec Int (p :: k) = UInt {

uInt# :: Int#

}

type Rep1 (URec Int :: k -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 (URec Int :: k -> Type) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UInt" 'PrefixI 'True) (S1 ('MetaSel ('Just "uInt#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UInt :: k -> Type)))

type Rep (URec Int p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep (URec Int p) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UInt" 'PrefixI 'True) (S1 ('MetaSel ('Just "uInt#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UInt :: Type -> Type)))

data 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 Source #	Since: base-2.1
Instance details Defined in Text.Printf Methods formatArg :: Integer -> FieldFormatter Source # parseFormat :: Integer -> ModifierParser Source #
Bits Integer Source #	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 #
Eq Integer Source #
Instance details Defined in GHC.Internal.Bignum.Integer Methods (==) :: Integer -> Integer -> Bool Source # (/=) :: Integer -> Integer -> Bool Source #
Ord Integer Source #
Instance details Defined in GHC.Internal.Bignum.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 #
Data Integer Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	Since: base-2.0.1
Instance details Defined in GHC.Internal.Real Methods toRational :: Integer -> Rational Source #
Show Integer Source #	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 #
Lift Integer Source #
Instance details Defined in GHC.Internal.TH.Lift Methods lift :: Quote m => Integer -> m Exp Source # liftTyped :: forall (m :: Type -> Type). Quote m => Integer -> Code m Integer Source #

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 Source #

Since: base-2.1

Instance details

Defined in Text.Printf

Methods

formatArg :: Float -> FieldFormatter Source #

parseFormat :: Float -> ModifierParser Source #

Eq Float Source #

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.Internal.Classes

Methods

(==) :: Float -> Float -> Bool Source #

(/=) :: Float -> Float -> Bool Source #

Ord Float Source #

See instance Ord Double for discussion of deviations from IEEE 754 standard.

Instance details

Defined in GHC.Internal.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 #

Data Float Source #

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 Source #

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 Source #

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 Source #

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 Source #

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 Source #

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 Source #

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 Source #

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 Source #

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 Source #

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 Source #

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 #

Lift Float Source #

Instance details

Defined in GHC.Internal.TH.Lift

Methods

lift :: Quote m => Float -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => Float -> Code m Float Source #

Generic1 (URec Float :: k -> Type) Source #

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 #

Eq1 (UFloat :: Type -> Type) Source #

Since: base-4.21.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftEq :: (a -> b -> Bool) -> UFloat a -> UFloat b -> Bool Source #

Ord1 (UFloat :: Type -> Type) Source #

Since: base-4.21.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftCompare :: (a -> b -> Ordering) -> UFloat a -> UFloat b -> Ordering Source #

Show1 (UFloat :: Type -> Type) Source #

Since: base-4.21.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> UFloat a -> ShowS Source #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [UFloat a] -> ShowS Source #

Foldable (UFloat :: Type -> Type) Source #

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) Source #

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) Source #

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 #

Eq (URec Float p) Source #

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) Source #

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 #

Generic (URec Float p) Source #

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) Source #

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 #

data URec Float (p :: k) Source #

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) Source #

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) Source #

Instance details

Defined in GHC.Internal.Generics

type Rep (URec Float p) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UFloat" 'PrefixI 'True) (S1 ('MetaSel ('Just "uFloat#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UFloat :: Type -> Type)))

data Double 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 Source #

Since: base-2.1

Instance details

Defined in Text.Printf

Methods

formatArg :: Double -> FieldFormatter Source #

parseFormat :: Double -> ModifierParser Source #

Eq Double Source #

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.Internal.Classes

Methods

(==) :: Double -> Double -> Bool Source #

(/=) :: Double -> Double -> Bool Source #

Ord Double Source #

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 Doubles 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.Internal.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 #

Data Double Source #

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 Source #

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 Source #

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 Source #

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 Source #

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 Source #

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 Source #

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 Source #

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 Source #

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 Source #

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 Source #

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 #

Lift Double Source #

Instance details

Defined in GHC.Internal.TH.Lift

Methods

lift :: Quote m => Double -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => Double -> Code m Double Source #

Generic1 (URec Double :: k -> Type) Source #

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 #

Eq1 (UDouble :: Type -> Type) Source #

Since: base-4.21.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftEq :: (a -> b -> Bool) -> UDouble a -> UDouble b -> Bool Source #

Ord1 (UDouble :: Type -> Type) Source #

Since: base-4.21.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftCompare :: (a -> b -> Ordering) -> UDouble a -> UDouble b -> Ordering Source #

Show1 (UDouble :: Type -> Type) Source #

Since: base-4.21.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> UDouble a -> ShowS Source #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [UDouble a] -> ShowS Source #

Foldable (UDouble :: Type -> Type) Source #

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) Source #

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) Source #

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 #

Eq (URec Double p) Source #

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) Source #

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 #

Generic (URec Double p) Source #

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) Source #

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 #

data URec Double (p :: k) Source #

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) Source #

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) Source #

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)))

type Rational = Ratio Integer Source #

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

data Word Source #

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

Instances

Instances details

PrintfArg Word Source #

Since: base-2.1

Instance details

Defined in Text.Printf

Methods

formatArg :: Word -> FieldFormatter Source #

parseFormat :: Word -> ModifierParser Source #

Bits Word Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Bits

Methods

(.&.) :: Word -> Word -> Word Source #

(.|.) :: Word -> Word -> Word Source #

xor :: Word -> Word -> Word Source #

complement :: Word -> Word Source #

shift :: Word -> Int -> Word Source #

rotate :: Word -> Int -> Word Source #

zeroBits :: Word Source #

bit :: Int -> Word Source #

setBit :: Word -> Int -> Word Source #

clearBit :: Word -> Int -> Word Source #

complementBit :: Word -> Int -> Word Source #

testBit :: Word -> Int -> Bool Source #

bitSizeMaybe :: Word -> Maybe Int Source #

bitSize :: Word -> Int Source #

isSigned :: Word -> Bool Source #

shiftL :: Word -> Int -> Word Source #

unsafeShiftL :: Word -> Int -> Word Source #

shiftR :: Word -> Int -> Word Source #

unsafeShiftR :: Word -> Int -> Word Source #

rotateL :: Word -> Int -> Word Source #

rotateR :: Word -> Int -> Word Source #

popCount :: Word -> Int Source #

FiniteBits Word Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Bits

Methods

finiteBitSize :: Word -> Int Source #

countLeadingZeros :: Word -> Int Source #

countTrailingZeros :: Word -> Int Source #

Eq Word Source #

Instance details

Defined in GHC.Internal.Classes

Methods

(==) :: Word -> Word -> Bool Source #

(/=) :: Word -> Word -> Bool Source #

Ord Word Source #

Instance details

Defined in GHC.Internal.Classes

Methods

compare :: Word -> Word -> Ordering Source #

(<) :: Word -> Word -> Bool Source #

(<=) :: Word -> Word -> Bool Source #

(>) :: Word -> Word -> Bool Source #

(>=) :: Word -> Word -> Bool Source #

max :: Word -> Word -> Word Source #

min :: Word -> Word -> Word Source #

Data Word Source #

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) -> Word -> c Word Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Word Source #

toConstr :: Word -> Constr Source #

dataTypeOf :: Word -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Word) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Word) Source #

gmapT :: (forall b. Data b => b -> b) -> Word -> Word Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Word -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Word -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Word -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Word -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Word -> m Word Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Word -> m Word Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Word -> m Word Source #

Bounded Word Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Methods

minBound :: Word Source #

maxBound :: Word Source #

Enum Word Source #

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 #

Storable Word Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Foreign.Storable

Methods

sizeOf :: Word -> Int Source #

alignment :: Word -> Int Source #

peekElemOff :: Ptr Word -> Int -> IO Word Source #

pokeElemOff :: Ptr Word -> Int -> Word -> IO () Source #

peekByteOff :: Ptr b -> Int -> IO Word Source #

pokeByteOff :: Ptr b -> Int -> Word -> IO () Source #

peek :: Ptr Word -> IO Word Source #

poke :: Ptr Word -> Word -> IO () Source #

Ix Word Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Ix

Methods

range :: (Word, Word) -> [Word] Source #

index :: (Word, Word) -> Word -> Int Source #

unsafeIndex :: (Word, Word) -> Word -> Int Source #

inRange :: (Word, Word) -> Word -> Bool Source #

rangeSize :: (Word, Word) -> Int Source #

unsafeRangeSize :: (Word, Word) -> Int Source #

Num Word Source #

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 #

Read Word Source #

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 #

Integral Word Source #

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 #

Real Word Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Real

Methods

toRational :: Word -> Rational Source #

Show Word Source #

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 #

Lift Word Source #

Instance details

Defined in GHC.Internal.TH.Lift

Methods

lift :: Quote m => Word -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => Word -> Code m Word Source #

Generic1 (URec Word :: k -> Type) Source #

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 #

Eq1 (UWord :: Type -> Type) Source #

Since: base-4.21.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftEq :: (a -> b -> Bool) -> UWord a -> UWord b -> Bool Source #

Ord1 (UWord :: Type -> Type) Source #

Since: base-4.21.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftCompare :: (a -> b -> Ordering) -> UWord a -> UWord b -> Ordering Source #

Show1 (UWord :: Type -> Type) Source #

Since: base-4.21.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> UWord a -> ShowS Source #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [UWord a] -> ShowS Source #

Foldable (UWord :: Type -> Type) Source #

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 #

Traversable (UWord :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Data.Traversable

Methods

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

sequenceA :: Applicative f => UWord (f a) -> f (UWord a) Source #

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

sequence :: Monad m => UWord (m a) -> m (UWord a) Source #

Functor (URec Word :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

fmap :: (a -> b) -> URec Word a -> URec Word b Source #

(<$) :: a -> URec Word b -> URec Word a Source #

Eq (URec Word p) Source #

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 #

Ord (URec Word p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

compare :: URec Word p -> URec Word p -> Ordering Source #

(<) :: URec Word p -> URec Word p -> Bool Source #

(<=) :: URec Word p -> URec Word p -> Bool Source #

(>) :: URec Word p -> URec Word p -> Bool Source #

(>=) :: URec Word p -> URec Word p -> Bool Source #

max :: URec Word p -> URec Word p -> URec Word p Source #

min :: URec Word p -> URec Word p -> URec Word p Source #

Generic (URec Word p) Source #

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 #

Show (URec Word p) Source #

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 #

data URec Word (p :: k) Source #

Used for marking occurrences of Word#

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

data URec Word (p :: k) = UWord {

uWord# :: Word#

}

type Rep1 (URec Word :: k -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 (URec Word :: k -> Type) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UWord" 'PrefixI 'True) (S1 ('MetaSel ('Just "uWord#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UWord :: k -> Type)))

type Rep (URec Word p) Source #

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)))

Numeric type classes

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 Unique Source #	Since: base-4.4.0.0
Instance details Defined in GHC.Internal.Event.Unique Methods (+) :: Unique -> Unique -> Unique Source # (-) :: Unique -> Unique -> Unique Source # (*) :: Unique -> Unique -> Unique Source # negate :: Unique -> Unique Source # abs :: Unique -> Unique Source # signum :: Unique -> Unique Source # fromInteger :: Integer -> Unique Source #
Num CBool Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CBool -> CBool -> CBool Source # (-) :: CBool -> CBool -> CBool Source # (*) :: CBool -> CBool -> CBool Source # negate :: CBool -> CBool Source # abs :: CBool -> CBool Source # signum :: CBool -> CBool Source # fromInteger :: Integer -> CBool Source #
Num CChar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CChar -> CChar -> CChar Source # (-) :: CChar -> CChar -> CChar Source # (*) :: CChar -> CChar -> CChar Source # negate :: CChar -> CChar Source # abs :: CChar -> CChar Source # signum :: CChar -> CChar Source # fromInteger :: Integer -> CChar Source #
Num CClock Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CClock -> CClock -> CClock Source # (-) :: CClock -> CClock -> CClock Source # (*) :: CClock -> CClock -> CClock Source # negate :: CClock -> CClock Source # abs :: CClock -> CClock Source # signum :: CClock -> CClock Source # fromInteger :: Integer -> CClock Source #
Num CDouble Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CDouble -> CDouble -> CDouble Source # (-) :: CDouble -> CDouble -> CDouble Source # (*) :: CDouble -> CDouble -> CDouble Source # negate :: CDouble -> CDouble Source # abs :: CDouble -> CDouble Source # signum :: CDouble -> CDouble Source # fromInteger :: Integer -> CDouble Source #
Num CFloat Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CFloat -> CFloat -> CFloat Source # (-) :: CFloat -> CFloat -> CFloat Source # (*) :: CFloat -> CFloat -> CFloat Source # negate :: CFloat -> CFloat Source # abs :: CFloat -> CFloat Source # signum :: CFloat -> CFloat Source # fromInteger :: Integer -> CFloat Source #
Num CInt Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CInt -> CInt -> CInt Source # (-) :: CInt -> CInt -> CInt Source # (*) :: CInt -> CInt -> CInt Source # negate :: CInt -> CInt Source # abs :: CInt -> CInt Source # signum :: CInt -> CInt Source # fromInteger :: Integer -> CInt Source #
Num CIntMax Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CIntMax -> CIntMax -> CIntMax Source # (-) :: CIntMax -> CIntMax -> CIntMax Source # (*) :: CIntMax -> CIntMax -> CIntMax Source # negate :: CIntMax -> CIntMax Source # abs :: CIntMax -> CIntMax Source # signum :: CIntMax -> CIntMax Source # fromInteger :: Integer -> CIntMax Source #
Num CIntPtr Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CIntPtr -> CIntPtr -> CIntPtr Source # (-) :: CIntPtr -> CIntPtr -> CIntPtr Source # (*) :: CIntPtr -> CIntPtr -> CIntPtr Source # negate :: CIntPtr -> CIntPtr Source # abs :: CIntPtr -> CIntPtr Source # signum :: CIntPtr -> CIntPtr Source # fromInteger :: Integer -> CIntPtr Source #
Num CLLong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CLLong -> CLLong -> CLLong Source # (-) :: CLLong -> CLLong -> CLLong Source # (*) :: CLLong -> CLLong -> CLLong Source # negate :: CLLong -> CLLong Source # abs :: CLLong -> CLLong Source # signum :: CLLong -> CLLong Source # fromInteger :: Integer -> CLLong Source #
Num CLong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CLong -> CLong -> CLong Source # (-) :: CLong -> CLong -> CLong Source # (*) :: CLong -> CLong -> CLong Source # negate :: CLong -> CLong Source # abs :: CLong -> CLong Source # signum :: CLong -> CLong Source # fromInteger :: Integer -> CLong Source #
Num CPtrdiff Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CPtrdiff -> CPtrdiff -> CPtrdiff Source # (-) :: CPtrdiff -> CPtrdiff -> CPtrdiff Source # (*) :: CPtrdiff -> CPtrdiff -> CPtrdiff Source # negate :: CPtrdiff -> CPtrdiff Source # abs :: CPtrdiff -> CPtrdiff Source # signum :: CPtrdiff -> CPtrdiff Source # fromInteger :: Integer -> CPtrdiff Source #
Num CSChar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CSChar -> CSChar -> CSChar Source # (-) :: CSChar -> CSChar -> CSChar Source # (*) :: CSChar -> CSChar -> CSChar Source # negate :: CSChar -> CSChar Source # abs :: CSChar -> CSChar Source # signum :: CSChar -> CSChar Source # fromInteger :: Integer -> CSChar Source #
Num CSUSeconds Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CSUSeconds -> CSUSeconds -> CSUSeconds Source # (-) :: CSUSeconds -> CSUSeconds -> CSUSeconds Source # (*) :: CSUSeconds -> CSUSeconds -> CSUSeconds Source # negate :: CSUSeconds -> CSUSeconds Source # abs :: CSUSeconds -> CSUSeconds Source # signum :: CSUSeconds -> CSUSeconds Source # fromInteger :: Integer -> CSUSeconds Source #
Num CShort Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CShort -> CShort -> CShort Source # (-) :: CShort -> CShort -> CShort Source # (*) :: CShort -> CShort -> CShort Source # negate :: CShort -> CShort Source # abs :: CShort -> CShort Source # signum :: CShort -> CShort Source # fromInteger :: Integer -> CShort Source #
Num CSigAtomic Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CSigAtomic -> CSigAtomic -> CSigAtomic Source # (-) :: CSigAtomic -> CSigAtomic -> CSigAtomic Source # (*) :: CSigAtomic -> CSigAtomic -> CSigAtomic Source # negate :: CSigAtomic -> CSigAtomic Source # abs :: CSigAtomic -> CSigAtomic Source # signum :: CSigAtomic -> CSigAtomic Source # fromInteger :: Integer -> CSigAtomic Source #
Num CSize Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CSize -> CSize -> CSize Source # (-) :: CSize -> CSize -> CSize Source # (*) :: CSize -> CSize -> CSize Source # negate :: CSize -> CSize Source # abs :: CSize -> CSize Source # signum :: CSize -> CSize Source # fromInteger :: Integer -> CSize Source #
Num CTime Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CTime -> CTime -> CTime Source # (-) :: CTime -> CTime -> CTime Source # (*) :: CTime -> CTime -> CTime Source # negate :: CTime -> CTime Source # abs :: CTime -> CTime Source # signum :: CTime -> CTime Source # fromInteger :: Integer -> CTime Source #
Num CUChar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CUChar -> CUChar -> CUChar Source # (-) :: CUChar -> CUChar -> CUChar Source # (*) :: CUChar -> CUChar -> CUChar Source # negate :: CUChar -> CUChar Source # abs :: CUChar -> CUChar Source # signum :: CUChar -> CUChar Source # fromInteger :: Integer -> CUChar Source #
Num CUInt Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CUInt -> CUInt -> CUInt Source # (-) :: CUInt -> CUInt -> CUInt Source # (*) :: CUInt -> CUInt -> CUInt Source # negate :: CUInt -> CUInt Source # abs :: CUInt -> CUInt Source # signum :: CUInt -> CUInt Source # fromInteger :: Integer -> CUInt Source #
Num CUIntMax Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CUIntMax -> CUIntMax -> CUIntMax Source # (-) :: CUIntMax -> CUIntMax -> CUIntMax Source # (*) :: CUIntMax -> CUIntMax -> CUIntMax Source # negate :: CUIntMax -> CUIntMax Source # abs :: CUIntMax -> CUIntMax Source # signum :: CUIntMax -> CUIntMax Source # fromInteger :: Integer -> CUIntMax Source #
Num CUIntPtr Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CUIntPtr -> CUIntPtr -> CUIntPtr Source # (-) :: CUIntPtr -> CUIntPtr -> CUIntPtr Source # (*) :: CUIntPtr -> CUIntPtr -> CUIntPtr Source # negate :: CUIntPtr -> CUIntPtr Source # abs :: CUIntPtr -> CUIntPtr Source # signum :: CUIntPtr -> CUIntPtr Source # fromInteger :: Integer -> CUIntPtr Source #
Num CULLong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CULLong -> CULLong -> CULLong Source # (-) :: CULLong -> CULLong -> CULLong Source # (*) :: CULLong -> CULLong -> CULLong Source # negate :: CULLong -> CULLong Source # abs :: CULLong -> CULLong Source # signum :: CULLong -> CULLong Source # fromInteger :: Integer -> CULLong Source #
Num CULong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CULong -> CULong -> CULong Source # (-) :: CULong -> CULong -> CULong Source # (*) :: CULong -> CULong -> CULong Source # negate :: CULong -> CULong Source # abs :: CULong -> CULong Source # signum :: CULong -> CULong Source # fromInteger :: Integer -> CULong Source #
Num CUSeconds Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CUSeconds -> CUSeconds -> CUSeconds Source # (-) :: CUSeconds -> CUSeconds -> CUSeconds Source # (*) :: CUSeconds -> CUSeconds -> CUSeconds Source # negate :: CUSeconds -> CUSeconds Source # abs :: CUSeconds -> CUSeconds Source # signum :: CUSeconds -> CUSeconds Source # fromInteger :: Integer -> CUSeconds Source #
Num CUShort Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CUShort -> CUShort -> CUShort Source # (-) :: CUShort -> CUShort -> CUShort Source # (*) :: CUShort -> CUShort -> CUShort Source # negate :: CUShort -> CUShort Source # abs :: CUShort -> CUShort Source # signum :: CUShort -> CUShort Source # fromInteger :: Integer -> CUShort Source #
Num CWchar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (+) :: CWchar -> CWchar -> CWchar Source # (-) :: CWchar -> CWchar -> CWchar Source # (*) :: CWchar -> CWchar -> CWchar Source # negate :: CWchar -> CWchar Source # abs :: CWchar -> CWchar Source # signum :: CWchar -> CWchar Source # fromInteger :: Integer -> CWchar Source #
Num IntPtr Source #
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 Source #
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 HalfWord Source #
Instance details Defined in GHC.Internal.Heap.InfoTable.Types Methods (+) :: HalfWord -> HalfWord -> HalfWord Source # (-) :: HalfWord -> HalfWord -> HalfWord Source # (*) :: HalfWord -> HalfWord -> HalfWord Source # negate :: HalfWord -> HalfWord Source # abs :: HalfWord -> HalfWord Source # signum :: HalfWord -> HalfWord Source # fromInteger :: Integer -> HalfWord Source #
Num Int16 Source #	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 Source #	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 Source #	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 Source #	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 ByteOffset Source #
Instance details Defined in GHC.Internal.Stack.Constants Methods (+) :: ByteOffset -> ByteOffset -> ByteOffset Source # (-) :: ByteOffset -> ByteOffset -> ByteOffset Source # (*) :: ByteOffset -> ByteOffset -> ByteOffset Source # negate :: ByteOffset -> ByteOffset Source # abs :: ByteOffset -> ByteOffset Source # signum :: ByteOffset -> ByteOffset Source # fromInteger :: Integer -> ByteOffset Source #
Num WordOffset Source #
Instance details Defined in GHC.Internal.Stack.Constants Methods (+) :: WordOffset -> WordOffset -> WordOffset Source # (-) :: WordOffset -> WordOffset -> WordOffset Source # (*) :: WordOffset -> WordOffset -> WordOffset Source # negate :: WordOffset -> WordOffset Source # abs :: WordOffset -> WordOffset Source # signum :: WordOffset -> WordOffset Source # fromInteger :: Integer -> WordOffset Source #
Num ByteOffset Source #
Instance details Defined in GHC.Internal.Stack.ConstantsProf Methods (+) :: ByteOffset -> ByteOffset -> ByteOffset Source # (-) :: ByteOffset -> ByteOffset -> ByteOffset Source # (*) :: ByteOffset -> ByteOffset -> ByteOffset Source # negate :: ByteOffset -> ByteOffset Source # abs :: ByteOffset -> ByteOffset Source # signum :: ByteOffset -> ByteOffset Source # fromInteger :: Integer -> ByteOffset Source #
Num WordOffset Source #
Instance details Defined in GHC.Internal.Stack.ConstantsProf Methods (+) :: WordOffset -> WordOffset -> WordOffset Source # (-) :: WordOffset -> WordOffset -> WordOffset Source # (*) :: WordOffset -> WordOffset -> WordOffset Source # negate :: WordOffset -> WordOffset Source # abs :: WordOffset -> WordOffset Source # signum :: WordOffset -> WordOffset Source # fromInteger :: Integer -> WordOffset Source #
Num CBlkCnt Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #
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) Source #	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) Source #	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) Source #	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) Source #	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, 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 CBool Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CBool -> Rational Source #
Real CChar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CChar -> Rational Source #
Real CClock Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CClock -> Rational Source #
Real CDouble Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CDouble -> Rational Source #
Real CFloat Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CFloat -> Rational Source #
Real CInt Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CInt -> Rational Source #
Real CIntMax Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CIntMax -> Rational Source #
Real CIntPtr Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CIntPtr -> Rational Source #
Real CLLong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CLLong -> Rational Source #
Real CLong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CLong -> Rational Source #
Real CPtrdiff Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CPtrdiff -> Rational Source #
Real CSChar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CSChar -> Rational Source #
Real CSUSeconds Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CSUSeconds -> Rational Source #
Real CShort Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CShort -> Rational Source #
Real CSigAtomic Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CSigAtomic -> Rational Source #
Real CSize Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CSize -> Rational Source #
Real CTime Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CTime -> Rational Source #
Real CUChar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CUChar -> Rational Source #
Real CUInt Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CUInt -> Rational Source #
Real CUIntMax Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CUIntMax -> Rational Source #
Real CUIntPtr Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CUIntPtr -> Rational Source #
Real CULLong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CULLong -> Rational Source #
Real CULong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CULong -> Rational Source #
Real CUSeconds Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CUSeconds -> Rational Source #
Real CUShort Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CUShort -> Rational Source #
Real CWchar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods toRational :: CWchar -> Rational Source #
Real IntPtr Source #
Instance details Defined in GHC.Internal.Foreign.Ptr Methods toRational :: IntPtr -> Rational Source #
Real WordPtr Source #
Instance details Defined in GHC.Internal.Foreign.Ptr Methods toRational :: WordPtr -> Rational Source #
Real HalfWord Source #
Instance details Defined in GHC.Internal.Heap.InfoTable.Types Methods toRational :: HalfWord -> Rational Source #
Real Int16 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods toRational :: Int16 -> Rational Source #
Real Int32 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods toRational :: Int32 -> Rational Source #
Real Int64 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods toRational :: Int64 -> Rational Source #
Real Int8 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods toRational :: Int8 -> Rational Source #
Real ByteOffset Source #
Instance details Defined in GHC.Internal.Stack.Constants Methods toRational :: ByteOffset -> Rational Source #
Real WordOffset Source #
Instance details Defined in GHC.Internal.Stack.Constants Methods toRational :: WordOffset -> Rational Source #
Real ByteOffset Source #
Instance details Defined in GHC.Internal.Stack.ConstantsProf Methods toRational :: ByteOffset -> Rational Source #
Real WordOffset Source #
Instance details Defined in GHC.Internal.Stack.ConstantsProf Methods toRational :: WordOffset -> Rational Source #
Real CBlkCnt Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CBlkCnt -> Rational Source #
Real CBlkSize Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CBlkSize -> Rational Source #
Real CCc Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CCc -> Rational Source #
Real CClockId Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CClockId -> Rational Source #
Real CDev Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CDev -> Rational Source #
Real CFsBlkCnt Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CFsBlkCnt -> Rational Source #
Real CFsFilCnt Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CFsFilCnt -> Rational Source #
Real CGid Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CGid -> Rational Source #
Real CId Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CId -> Rational Source #
Real CIno Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CIno -> Rational Source #
Real CKey Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CKey -> Rational Source #
Real CMode Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CMode -> Rational Source #
Real CNfds Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CNfds -> Rational Source #
Real CNlink Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CNlink -> Rational Source #
Real COff Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: COff -> Rational Source #
Real CPid Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CPid -> Rational Source #
Real CRLim Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CRLim -> Rational Source #
Real CSocklen Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CSocklen -> Rational Source #
Real CSpeed Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CSpeed -> Rational Source #
Real CSsize Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CSsize -> Rational Source #
Real CTcflag Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CTcflag -> Rational Source #
Real CUid Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: CUid -> Rational Source #
Real Fd Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods toRational :: Fd -> Rational Source #
Real Word16 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods toRational :: Word16 -> Rational Source #
Real Word32 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods toRational :: Word32 -> Rational Source #
Real Word64 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods toRational :: Word64 -> Rational Source #
Real Word8 Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods toRational :: Word8 -> Rational Source #
Real Integer Source #	Since: base-2.0.1
Instance details Defined in GHC.Internal.Real Methods toRational :: Integer -> Rational Source #
Real Natural Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Real Methods toRational :: Natural -> Rational Source #
Real Double Source #	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 Source #	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 Source #	Since: base-2.0.1
Instance details Defined in GHC.Internal.Real Methods toRational :: Int -> Rational Source #
Real Word Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Real Methods toRational :: Word -> Rational Source #
Real a => Real (Identity a) Source #	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) Source #	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) Source #	Since: base-2.0.1
Instance details Defined in GHC.Internal.Real Methods toRational :: Ratio a -> Rational Source #
HasResolution a => Real (Fixed a) Source #	Since: base-2.1
Instance details Defined in Data.Fixed Methods toRational :: Fixed a -> Rational Source #
Real a => Real (Const a b) Source #	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) Source #	Since: base-4.19.0.0
Instance details Defined in Data.Functor.Compose Methods toRational :: Compose f g a -> Rational Source #

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 CBool Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CBool -> CBool -> CBool Source # rem :: CBool -> CBool -> CBool Source # div :: CBool -> CBool -> CBool Source # mod :: CBool -> CBool -> CBool Source # quotRem :: CBool -> CBool -> (CBool, CBool) Source # divMod :: CBool -> CBool -> (CBool, CBool) Source # toInteger :: CBool -> Integer Source #
Integral CChar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CChar -> CChar -> CChar Source # rem :: CChar -> CChar -> CChar Source # div :: CChar -> CChar -> CChar Source # mod :: CChar -> CChar -> CChar Source # quotRem :: CChar -> CChar -> (CChar, CChar) Source # divMod :: CChar -> CChar -> (CChar, CChar) Source # toInteger :: CChar -> Integer Source #
Integral CInt Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CInt -> CInt -> CInt Source # rem :: CInt -> CInt -> CInt Source # div :: CInt -> CInt -> CInt Source # mod :: CInt -> CInt -> CInt Source # quotRem :: CInt -> CInt -> (CInt, CInt) Source # divMod :: CInt -> CInt -> (CInt, CInt) Source # toInteger :: CInt -> Integer Source #
Integral CIntMax Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CIntMax -> CIntMax -> CIntMax Source # rem :: CIntMax -> CIntMax -> CIntMax Source # div :: CIntMax -> CIntMax -> CIntMax Source # mod :: CIntMax -> CIntMax -> CIntMax Source # quotRem :: CIntMax -> CIntMax -> (CIntMax, CIntMax) Source # divMod :: CIntMax -> CIntMax -> (CIntMax, CIntMax) Source # toInteger :: CIntMax -> Integer Source #
Integral CIntPtr Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CIntPtr -> CIntPtr -> CIntPtr Source # rem :: CIntPtr -> CIntPtr -> CIntPtr Source # div :: CIntPtr -> CIntPtr -> CIntPtr Source # mod :: CIntPtr -> CIntPtr -> CIntPtr Source # quotRem :: CIntPtr -> CIntPtr -> (CIntPtr, CIntPtr) Source # divMod :: CIntPtr -> CIntPtr -> (CIntPtr, CIntPtr) Source # toInteger :: CIntPtr -> Integer Source #
Integral CLLong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CLLong -> CLLong -> CLLong Source # rem :: CLLong -> CLLong -> CLLong Source # div :: CLLong -> CLLong -> CLLong Source # mod :: CLLong -> CLLong -> CLLong Source # quotRem :: CLLong -> CLLong -> (CLLong, CLLong) Source # divMod :: CLLong -> CLLong -> (CLLong, CLLong) Source # toInteger :: CLLong -> Integer Source #
Integral CLong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CLong -> CLong -> CLong Source # rem :: CLong -> CLong -> CLong Source # div :: CLong -> CLong -> CLong Source # mod :: CLong -> CLong -> CLong Source # quotRem :: CLong -> CLong -> (CLong, CLong) Source # divMod :: CLong -> CLong -> (CLong, CLong) Source # toInteger :: CLong -> Integer Source #
Integral CPtrdiff Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CPtrdiff -> CPtrdiff -> CPtrdiff Source # rem :: CPtrdiff -> CPtrdiff -> CPtrdiff Source # div :: CPtrdiff -> CPtrdiff -> CPtrdiff Source # mod :: CPtrdiff -> CPtrdiff -> CPtrdiff Source # quotRem :: CPtrdiff -> CPtrdiff -> (CPtrdiff, CPtrdiff) Source # divMod :: CPtrdiff -> CPtrdiff -> (CPtrdiff, CPtrdiff) Source # toInteger :: CPtrdiff -> Integer Source #
Integral CSChar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CSChar -> CSChar -> CSChar Source # rem :: CSChar -> CSChar -> CSChar Source # div :: CSChar -> CSChar -> CSChar Source # mod :: CSChar -> CSChar -> CSChar Source # quotRem :: CSChar -> CSChar -> (CSChar, CSChar) Source # divMod :: CSChar -> CSChar -> (CSChar, CSChar) Source # toInteger :: CSChar -> Integer Source #
Integral CShort Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CShort -> CShort -> CShort Source # rem :: CShort -> CShort -> CShort Source # div :: CShort -> CShort -> CShort Source # mod :: CShort -> CShort -> CShort Source # quotRem :: CShort -> CShort -> (CShort, CShort) Source # divMod :: CShort -> CShort -> (CShort, CShort) Source # toInteger :: CShort -> Integer Source #
Integral CSigAtomic Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CSigAtomic -> CSigAtomic -> CSigAtomic Source # rem :: CSigAtomic -> CSigAtomic -> CSigAtomic Source # div :: CSigAtomic -> CSigAtomic -> CSigAtomic Source # mod :: CSigAtomic -> CSigAtomic -> CSigAtomic Source # quotRem :: CSigAtomic -> CSigAtomic -> (CSigAtomic, CSigAtomic) Source # divMod :: CSigAtomic -> CSigAtomic -> (CSigAtomic, CSigAtomic) Source # toInteger :: CSigAtomic -> Integer Source #
Integral CSize Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CSize -> CSize -> CSize Source # rem :: CSize -> CSize -> CSize Source # div :: CSize -> CSize -> CSize Source # mod :: CSize -> CSize -> CSize Source # quotRem :: CSize -> CSize -> (CSize, CSize) Source # divMod :: CSize -> CSize -> (CSize, CSize) Source # toInteger :: CSize -> Integer Source #
Integral CUChar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CUChar -> CUChar -> CUChar Source # rem :: CUChar -> CUChar -> CUChar Source # div :: CUChar -> CUChar -> CUChar Source # mod :: CUChar -> CUChar -> CUChar Source # quotRem :: CUChar -> CUChar -> (CUChar, CUChar) Source # divMod :: CUChar -> CUChar -> (CUChar, CUChar) Source # toInteger :: CUChar -> Integer Source #
Integral CUInt Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CUInt -> CUInt -> CUInt Source # rem :: CUInt -> CUInt -> CUInt Source # div :: CUInt -> CUInt -> CUInt Source # mod :: CUInt -> CUInt -> CUInt Source # quotRem :: CUInt -> CUInt -> (CUInt, CUInt) Source # divMod :: CUInt -> CUInt -> (CUInt, CUInt) Source # toInteger :: CUInt -> Integer Source #
Integral CUIntMax Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CUIntMax -> CUIntMax -> CUIntMax Source # rem :: CUIntMax -> CUIntMax -> CUIntMax Source # div :: CUIntMax -> CUIntMax -> CUIntMax Source # mod :: CUIntMax -> CUIntMax -> CUIntMax Source # quotRem :: CUIntMax -> CUIntMax -> (CUIntMax, CUIntMax) Source # divMod :: CUIntMax -> CUIntMax -> (CUIntMax, CUIntMax) Source # toInteger :: CUIntMax -> Integer Source #
Integral CUIntPtr Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CUIntPtr -> CUIntPtr -> CUIntPtr Source # rem :: CUIntPtr -> CUIntPtr -> CUIntPtr Source # div :: CUIntPtr -> CUIntPtr -> CUIntPtr Source # mod :: CUIntPtr -> CUIntPtr -> CUIntPtr Source # quotRem :: CUIntPtr -> CUIntPtr -> (CUIntPtr, CUIntPtr) Source # divMod :: CUIntPtr -> CUIntPtr -> (CUIntPtr, CUIntPtr) Source # toInteger :: CUIntPtr -> Integer Source #
Integral CULLong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CULLong -> CULLong -> CULLong Source # rem :: CULLong -> CULLong -> CULLong Source # div :: CULLong -> CULLong -> CULLong Source # mod :: CULLong -> CULLong -> CULLong Source # quotRem :: CULLong -> CULLong -> (CULLong, CULLong) Source # divMod :: CULLong -> CULLong -> (CULLong, CULLong) Source # toInteger :: CULLong -> Integer Source #
Integral CULong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CULong -> CULong -> CULong Source # rem :: CULong -> CULong -> CULong Source # div :: CULong -> CULong -> CULong Source # mod :: CULong -> CULong -> CULong Source # quotRem :: CULong -> CULong -> (CULong, CULong) Source # divMod :: CULong -> CULong -> (CULong, CULong) Source # toInteger :: CULong -> Integer Source #
Integral CUShort Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CUShort -> CUShort -> CUShort Source # rem :: CUShort -> CUShort -> CUShort Source # div :: CUShort -> CUShort -> CUShort Source # mod :: CUShort -> CUShort -> CUShort Source # quotRem :: CUShort -> CUShort -> (CUShort, CUShort) Source # divMod :: CUShort -> CUShort -> (CUShort, CUShort) Source # toInteger :: CUShort -> Integer Source #
Integral CWchar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods quot :: CWchar -> CWchar -> CWchar Source # rem :: CWchar -> CWchar -> CWchar Source # div :: CWchar -> CWchar -> CWchar Source # mod :: CWchar -> CWchar -> CWchar Source # quotRem :: CWchar -> CWchar -> (CWchar, CWchar) Source # divMod :: CWchar -> CWchar -> (CWchar, CWchar) Source # toInteger :: CWchar -> Integer Source #
Integral IntPtr Source #
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 Source #
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 HalfWord Source #
Instance details Defined in GHC.Internal.Heap.InfoTable.Types Methods quot :: HalfWord -> HalfWord -> HalfWord Source # rem :: HalfWord -> HalfWord -> HalfWord Source # div :: HalfWord -> HalfWord -> HalfWord Source # mod :: HalfWord -> HalfWord -> HalfWord Source # quotRem :: HalfWord -> HalfWord -> (HalfWord, HalfWord) Source # divMod :: HalfWord -> HalfWord -> (HalfWord, HalfWord) Source # toInteger :: HalfWord -> Integer Source #
Integral Int16 Source #	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 Source #	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 Source #	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 Source #	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 ByteOffset Source #
Instance details Defined in GHC.Internal.Stack.Constants Methods quot :: ByteOffset -> ByteOffset -> ByteOffset Source # rem :: ByteOffset -> ByteOffset -> ByteOffset Source # div :: ByteOffset -> ByteOffset -> ByteOffset Source # mod :: ByteOffset -> ByteOffset -> ByteOffset Source # quotRem :: ByteOffset -> ByteOffset -> (ByteOffset, ByteOffset) Source # divMod :: ByteOffset -> ByteOffset -> (ByteOffset, ByteOffset) Source # toInteger :: ByteOffset -> Integer Source #
Integral WordOffset Source #
Instance details Defined in GHC.Internal.Stack.Constants Methods quot :: WordOffset -> WordOffset -> WordOffset Source # rem :: WordOffset -> WordOffset -> WordOffset Source # div :: WordOffset -> WordOffset -> WordOffset Source # mod :: WordOffset -> WordOffset -> WordOffset Source # quotRem :: WordOffset -> WordOffset -> (WordOffset, WordOffset) Source # divMod :: WordOffset -> WordOffset -> (WordOffset, WordOffset) Source # toInteger :: WordOffset -> Integer Source #
Integral ByteOffset Source #
Instance details Defined in GHC.Internal.Stack.ConstantsProf Methods quot :: ByteOffset -> ByteOffset -> ByteOffset Source # rem :: ByteOffset -> ByteOffset -> ByteOffset Source # div :: ByteOffset -> ByteOffset -> ByteOffset Source # mod :: ByteOffset -> ByteOffset -> ByteOffset Source # quotRem :: ByteOffset -> ByteOffset -> (ByteOffset, ByteOffset) Source # divMod :: ByteOffset -> ByteOffset -> (ByteOffset, ByteOffset) Source # toInteger :: ByteOffset -> Integer Source #
Integral WordOffset Source #
Instance details Defined in GHC.Internal.Stack.ConstantsProf Methods quot :: WordOffset -> WordOffset -> WordOffset Source # rem :: WordOffset -> WordOffset -> WordOffset Source # div :: WordOffset -> WordOffset -> WordOffset Source # mod :: WordOffset -> WordOffset -> WordOffset Source # quotRem :: WordOffset -> WordOffset -> (WordOffset, WordOffset) Source # divMod :: WordOffset -> WordOffset -> (WordOffset, WordOffset) Source # toInteger :: WordOffset -> Integer Source #
Integral CBlkCnt Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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) Source #	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) Source #	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) Source #	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 => 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 CDouble Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (/) :: CDouble -> CDouble -> CDouble Source # recip :: CDouble -> CDouble Source # fromRational :: Rational -> CDouble Source #
Fractional CFloat Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods (/) :: CFloat -> CFloat -> CFloat Source # recip :: CFloat -> CFloat Source # fromRational :: Rational -> CFloat Source #
Fractional Double Source #	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 Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #
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) Source #	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) Source #	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 Fractional a => Floating a where Source #

Trigonometric and hyperbolic functions and related functions.

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

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

Minimal complete definition

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

Methods

pi :: a Source #

exp :: a -> a Source #

log :: a -> a Source #

sqrt :: a -> a Source #

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

logBase :: a -> a -> a Source #

sin :: a -> a Source #

cos :: a -> a Source #

tan :: a -> a Source #

asin :: a -> a Source #

acos :: a -> a Source #

atan :: a -> a Source #

sinh :: a -> a Source #

cosh :: a -> a Source #

tanh :: a -> a Source #

asinh :: a -> a Source #

acosh :: a -> a Source #

atanh :: a -> a Source #

Instances

Instances details

Floating CDouble Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods pi :: CDouble Source # exp :: CDouble -> CDouble Source # log :: CDouble -> CDouble Source # sqrt :: CDouble -> CDouble Source # (**) :: CDouble -> CDouble -> CDouble Source # logBase :: CDouble -> CDouble -> CDouble Source # sin :: CDouble -> CDouble Source # cos :: CDouble -> CDouble Source # tan :: CDouble -> CDouble Source # asin :: CDouble -> CDouble Source # acos :: CDouble -> CDouble Source # atan :: CDouble -> CDouble Source # sinh :: CDouble -> CDouble Source # cosh :: CDouble -> CDouble Source # tanh :: CDouble -> CDouble Source # asinh :: CDouble -> CDouble Source # acosh :: CDouble -> CDouble Source # atanh :: CDouble -> CDouble Source # log1p :: CDouble -> CDouble Source # expm1 :: CDouble -> CDouble Source # log1pexp :: CDouble -> CDouble Source # log1mexp :: CDouble -> CDouble Source #
Floating CFloat Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods pi :: CFloat Source # exp :: CFloat -> CFloat Source # log :: CFloat -> CFloat Source # sqrt :: CFloat -> CFloat Source # (**) :: CFloat -> CFloat -> CFloat Source # logBase :: CFloat -> CFloat -> CFloat Source # sin :: CFloat -> CFloat Source # cos :: CFloat -> CFloat Source # tan :: CFloat -> CFloat Source # asin :: CFloat -> CFloat Source # acos :: CFloat -> CFloat Source # atan :: CFloat -> CFloat Source # sinh :: CFloat -> CFloat Source # cosh :: CFloat -> CFloat Source # tanh :: CFloat -> CFloat Source # asinh :: CFloat -> CFloat Source # acosh :: CFloat -> CFloat Source # atanh :: CFloat -> CFloat Source # log1p :: CFloat -> CFloat Source # expm1 :: CFloat -> CFloat Source # log1pexp :: CFloat -> CFloat Source # log1mexp :: CFloat -> CFloat Source #
Floating Double Source #	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 #
Floating Float Source #	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 a => Floating (Complex a) Source #	Since: base-2.1
Instance details Defined in Data.Complex Methods pi :: Complex a Source # exp :: Complex a -> Complex a Source # log :: Complex a -> Complex a Source # sqrt :: Complex a -> Complex a Source # (**) :: Complex a -> Complex a -> Complex a Source # logBase :: Complex a -> Complex a -> Complex a Source # sin :: Complex a -> Complex a Source # cos :: Complex a -> Complex a Source # tan :: Complex a -> Complex a Source # asin :: Complex a -> Complex a Source # acos :: Complex a -> Complex a Source # atan :: Complex a -> Complex a Source # sinh :: Complex a -> Complex a Source # cosh :: Complex a -> Complex a Source # tanh :: Complex a -> Complex a Source # asinh :: Complex a -> Complex a Source # acosh :: Complex a -> Complex a Source # atanh :: Complex a -> Complex a Source # log1p :: Complex a -> Complex a Source # expm1 :: Complex a -> Complex a Source # log1pexp :: Complex a -> Complex a Source # log1mexp :: Complex a -> Complex a Source #
Floating a => Floating (Identity a) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Functor.Identity Methods pi :: Identity a Source # exp :: Identity a -> Identity a Source # log :: Identity a -> Identity a Source # sqrt :: Identity a -> Identity a Source # (**) :: Identity a -> Identity a -> Identity a Source # logBase :: Identity a -> Identity a -> Identity a Source # sin :: Identity a -> Identity a Source # cos :: Identity a -> Identity a Source # tan :: Identity a -> Identity a Source # asin :: Identity a -> Identity a Source # acos :: Identity a -> Identity a Source # atan :: Identity a -> Identity a Source # sinh :: Identity a -> Identity a Source # cosh :: Identity a -> Identity a Source # tanh :: Identity a -> Identity a Source # asinh :: Identity a -> Identity a Source # acosh :: Identity a -> Identity a Source # atanh :: Identity a -> Identity a Source # log1p :: Identity a -> Identity a Source # expm1 :: Identity a -> Identity a Source # log1pexp :: Identity a -> Identity a Source # log1mexp :: Identity a -> Identity a Source #
Floating a => Floating (Down a) Source #	Since: base-4.14.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods pi :: Down a Source # exp :: Down a -> Down a Source # log :: Down a -> Down a Source # sqrt :: Down a -> Down a Source # (**) :: Down a -> Down a -> Down a Source # logBase :: Down a -> Down a -> Down a Source # sin :: Down a -> Down a Source # cos :: Down a -> Down a Source # tan :: Down a -> Down a Source # asin :: Down a -> Down a Source # acos :: Down a -> Down a Source # atan :: Down a -> Down a Source # sinh :: Down a -> Down a Source # cosh :: Down a -> Down a Source # tanh :: Down a -> Down a Source # asinh :: Down a -> Down a Source # acosh :: Down a -> Down a Source # atanh :: Down a -> Down a Source # log1p :: Down a -> Down a Source # expm1 :: Down a -> Down a Source # log1pexp :: Down a -> Down a Source # log1mexp :: Down a -> Down a Source #
Floating a => Floating (Op a b) Source #
Instance details Defined in Data.Functor.Contravariant Methods pi :: Op a b Source # exp :: Op a b -> Op a b Source # log :: Op a b -> Op a b Source # sqrt :: Op a b -> Op a b Source # (**) :: Op a b -> Op a b -> Op a b Source # logBase :: Op a b -> Op a b -> Op a b Source # sin :: Op a b -> Op a b Source # cos :: Op a b -> Op a b Source # tan :: Op a b -> Op a b Source # asin :: Op a b -> Op a b Source # acos :: Op a b -> Op a b Source # atan :: Op a b -> Op a b Source # sinh :: Op a b -> Op a b Source # cosh :: Op a b -> Op a b Source # tanh :: Op a b -> Op a b Source # asinh :: Op a b -> Op a b Source # acosh :: Op a b -> Op a b Source # atanh :: Op a b -> Op a b Source # log1p :: Op a b -> Op a b Source # expm1 :: Op a b -> Op a b Source # log1pexp :: Op a b -> Op a b Source # log1mexp :: Op a b -> Op a b Source #
Floating a => Floating (Const a b) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Functor.Const Methods pi :: Const a b Source # exp :: Const a b -> Const a b Source # log :: Const a b -> Const a b Source # sqrt :: Const a b -> Const a b Source # (**) :: Const a b -> Const a b -> Const a b Source # logBase :: Const a b -> Const a b -> Const a b Source # sin :: Const a b -> Const a b Source # cos :: Const a b -> Const a b Source # tan :: Const a b -> Const a b Source # asin :: Const a b -> Const a b Source # acos :: Const a b -> Const a b Source # atan :: Const a b -> Const a b Source # sinh :: Const a b -> Const a b Source # cosh :: Const a b -> Const a b Source # tanh :: Const a b -> Const a b Source # asinh :: Const a b -> Const a b Source # acosh :: Const a b -> Const a b Source # atanh :: Const a b -> Const a b Source # log1p :: Const a b -> Const a b Source # expm1 :: Const a b -> Const a b Source # log1pexp :: Const a b -> Const a b Source # log1mexp :: Const a b -> Const a b Source #
Floating (f (g a)) => Floating (Compose f g a) Source #	Since: base-4.20.0.0
Instance details Defined in Data.Functor.Compose Methods pi :: Compose f g a Source # exp :: Compose f g a -> Compose f g a Source # log :: Compose f g a -> Compose f g a Source # sqrt :: Compose f g a -> Compose f g a Source # (**) :: Compose f g a -> Compose f g a -> Compose f g a Source # logBase :: Compose f g a -> Compose f g a -> Compose f g a Source # sin :: Compose f g a -> Compose f g a Source # cos :: Compose f g a -> Compose f g a Source # tan :: Compose f g a -> Compose f g a Source # asin :: Compose f g a -> Compose f g a Source # acos :: Compose f g a -> Compose f g a Source # atan :: Compose f g a -> Compose f g a Source # sinh :: Compose f g a -> Compose f g a Source # cosh :: Compose f g a -> Compose f g a Source # tanh :: Compose f g a -> Compose f g a Source # asinh :: Compose f g a -> Compose f g a Source # acosh :: Compose f g a -> Compose f g a Source # atanh :: Compose f g a -> Compose f g a Source # log1p :: Compose f g a -> Compose f g a Source # expm1 :: Compose f g a -> Compose f g a Source # log1pexp :: Compose f g a -> Compose f g a Source # log1mexp :: 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 CDouble Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods properFraction :: Integral b => CDouble -> (b, CDouble) Source # truncate :: Integral b => CDouble -> b Source # round :: Integral b => CDouble -> b Source # ceiling :: Integral b => CDouble -> b Source # floor :: Integral b => CDouble -> b Source #
RealFrac CFloat Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods properFraction :: Integral b => CFloat -> (b, CFloat) Source # truncate :: Integral b => CFloat -> b Source # round :: Integral b => CFloat -> b Source # ceiling :: Integral b => CFloat -> b Source # floor :: Integral b => CFloat -> b Source #
RealFrac Double Source #	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 Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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 (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 that exponent x may assume for a normal x. The relation to IEEE emin and emax is floatRange x = (emin + 1, emax + 1).

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 CDouble Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods floatRadix :: CDouble -> Integer Source # floatDigits :: CDouble -> Int Source # floatRange :: CDouble -> (Int, Int) Source # decodeFloat :: CDouble -> (Integer, Int) Source # encodeFloat :: Integer -> Int -> CDouble Source # exponent :: CDouble -> Int Source # significand :: CDouble -> CDouble Source # scaleFloat :: Int -> CDouble -> CDouble Source # isNaN :: CDouble -> Bool Source # isInfinite :: CDouble -> Bool Source # isDenormalized :: CDouble -> Bool Source # isNegativeZero :: CDouble -> Bool Source # isIEEE :: CDouble -> Bool Source # atan2 :: CDouble -> CDouble -> CDouble Source #
RealFloat CFloat Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods floatRadix :: CFloat -> Integer Source # floatDigits :: CFloat -> Int Source # floatRange :: CFloat -> (Int, Int) Source # decodeFloat :: CFloat -> (Integer, Int) Source # encodeFloat :: Integer -> Int -> CFloat Source # exponent :: CFloat -> Int Source # significand :: CFloat -> CFloat Source # scaleFloat :: Int -> CFloat -> CFloat Source # isNaN :: CFloat -> Bool Source # isInfinite :: CFloat -> Bool Source # isDenormalized :: CFloat -> Bool Source # isNegativeZero :: CFloat -> Bool Source # isIEEE :: CFloat -> Bool Source # atan2 :: CFloat -> CFloat -> CFloat Source #
RealFloat Double Source #	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 Source #	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) Source #	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) Source #	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) Source #	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) Source #	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 #

Numeric functions

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.

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

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

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.

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

raise a number to a non-negative integral power

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

raise a number to an integral power

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

General coercion from Integral types.

WARNING: This function performs silent truncation if the result type is not at least as big as the argument's type.

realToFrac :: (Real a, Fractional b) => a -> b Source #

General coercion to Fractional types.

WARNING: This function goes through the Rational type, which does not have values for NaN for example. This means it does not round-trip.

For Double it also behaves differently with or without -O0:

Prelude> realToFrac nan -- With -O0
-Infinity
Prelude> realToFrac nan
NaN

Semigroups and Monoids

class Semigroup a where Source #

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

Instances should satisfy the following:

Associativity: x <> (y <> z) = (x <> y) <> z

You can alternatively define sconcat instead of (<>), in which case the laws are:

Unit: sconcat (pure x) = x
Multiplication: sconcat (join xss) = sconcat (fmap sconcat xss)

Since: base-4.9.0.0

Minimal complete definition

(<>) | sconcat

Methods

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

An associative operation.

Examples

Expand

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

>>> Just [1, 2, 3] <> Just [4, 5, 6]
Just [1,2,3,4,5,6]

>>> putStr "Hello, " <> putStrLn "World!"
Hello, World!

Instances

Instances details

Semigroup ByteArray Source #	Since: base-4.17.0.0
Instance details Defined in Data.Array.Byte Methods (<>) :: ByteArray -> ByteArray -> ByteArray Source # sconcat :: NonEmpty ByteArray -> ByteArray Source # stimes :: Integral b => b -> ByteArray -> ByteArray Source #
Semigroup Void Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods (<>) :: Void -> Void -> Void Source # sconcat :: NonEmpty Void -> Void Source # stimes :: Integral b => b -> Void -> Void Source #
Semigroup All Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods (<>) :: All -> All -> All Source # sconcat :: NonEmpty All -> All Source # stimes :: Integral b => b -> All -> All Source #
Semigroup Any Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods (<>) :: Any -> Any -> Any Source # sconcat :: NonEmpty Any -> Any Source # stimes :: Integral b => b -> Any -> Any Source #
Semigroup Event Source #	Since: base-4.10.0.0
Instance details Defined in GHC.Internal.Event.Internal.Types Methods (<>) :: Event -> Event -> Event Source # sconcat :: NonEmpty Event -> Event Source # stimes :: Integral b => b -> Event -> Event Source #
Semigroup EventLifetime Source #	Since: base-4.11.0.0
Instance details Defined in GHC.Internal.Event.Internal.Types Methods (<>) :: EventLifetime -> EventLifetime -> EventLifetime Source # sconcat :: NonEmpty EventLifetime -> EventLifetime Source # stimes :: Integral b => b -> EventLifetime -> EventLifetime Source #
Semigroup Lifetime Source #	Since: base-4.10.0.0
Instance details Defined in GHC.Internal.Event.Internal.Types Methods (<>) :: Lifetime -> Lifetime -> Lifetime Source # sconcat :: NonEmpty Lifetime -> Lifetime Source # stimes :: Integral b => b -> Lifetime -> Lifetime Source #
Semigroup ExceptionContext Source #
Instance details Defined in GHC.Internal.Exception.Context Methods (<>) :: ExceptionContext -> ExceptionContext -> ExceptionContext Source # sconcat :: NonEmpty ExceptionContext -> ExceptionContext Source # stimes :: Integral b => b -> ExceptionContext -> ExceptionContext Source #
Semigroup Ordering Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods (<>) :: Ordering -> Ordering -> Ordering Source # sconcat :: NonEmpty Ordering -> Ordering Source # stimes :: Integral b => b -> Ordering -> Ordering Source #
Semigroup () Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods (<>) :: () -> () -> () Source # sconcat :: NonEmpty () -> () Source # stimes :: Integral b => b -> () -> () Source #
Semigroup (Comparison a) Source #	`(<>)` on comparisons combines results with `(<>) @Ordering`. Without newtypes this equals `liftA2 (liftA2 (<>))`. (<>) :: Comparison a -> Comparison a -> Comparison a Comparison cmp <> Comparison cmp' = Comparison a a' -> cmp a a' <> cmp a a'
Instance details Defined in Data.Functor.Contravariant Methods (<>) :: Comparison a -> Comparison a -> Comparison a Source # sconcat :: NonEmpty (Comparison a) -> Comparison a Source # stimes :: Integral b => b -> Comparison a -> Comparison a Source #
Semigroup (Equivalence a) Source #	`(<>)` on equivalences uses logical conjunction `(&&)` on the results. Without newtypes this equals `liftA2 (liftA2 (&&))`. (<>) :: Equivalence a -> Equivalence a -> Equivalence a Equivalence equiv <> Equivalence equiv' = Equivalence a b -> equiv a b && equiv' a b
Instance details Defined in Data.Functor.Contravariant Methods (<>) :: Equivalence a -> Equivalence a -> Equivalence a Source # sconcat :: NonEmpty (Equivalence a) -> Equivalence a Source # stimes :: Integral b => b -> Equivalence a -> Equivalence a Source #
Semigroup (Predicate a) Source #	`(<>)` on predicates uses logical conjunction `(&&)` on the results. Without newtypes this equals `liftA2 (&&)`. (<>) :: Predicate a -> Predicate a -> Predicate a Predicate pred <> Predicate pred' = Predicate a -> pred a && pred' a
Instance details Defined in Data.Functor.Contravariant Methods (<>) :: Predicate a -> Predicate a -> Predicate a Source # sconcat :: NonEmpty (Predicate a) -> Predicate a Source # stimes :: Integral b => b -> Predicate a -> Predicate a Source #
Semigroup (First a) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (<>) :: First a -> First a -> First a Source # sconcat :: NonEmpty (First a) -> First a Source # stimes :: Integral b => b -> First a -> First a Source #
Semigroup (Last a) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (<>) :: Last a -> Last a -> Last a Source # sconcat :: NonEmpty (Last a) -> Last a Source # stimes :: Integral b => b -> Last a -> Last a Source #
Ord a => Semigroup (Max a) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (<>) :: Max a -> Max a -> Max a Source # sconcat :: NonEmpty (Max a) -> Max a Source # stimes :: Integral b => b -> Max a -> Max a Source #
Ord a => Semigroup (Min a) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (<>) :: Min a -> Min a -> Min a Source # sconcat :: NonEmpty (Min a) -> Min a Source # stimes :: Integral b => b -> Min a -> Min a Source #
Monoid m => Semigroup (WrappedMonoid m) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (<>) :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m Source # sconcat :: NonEmpty (WrappedMonoid m) -> WrappedMonoid m Source # stimes :: Integral b => b -> WrappedMonoid m -> WrappedMonoid m Source #
Semigroup (NonEmpty a) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.NonEmpty Methods (<>) :: NonEmpty a -> NonEmpty a -> NonEmpty a Source # sconcat :: NonEmpty (NonEmpty a) -> NonEmpty a Source # stimes :: Integral b => b -> NonEmpty a -> NonEmpty a Source #
Semigroup a => Semigroup (STM a) Source #	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 #
Bits a => Semigroup (And a) Source #	Since: base-4.16
Instance details Defined in GHC.Internal.Data.Bits Methods (<>) :: And a -> And a -> And a Source # sconcat :: NonEmpty (And a) -> And a Source # stimes :: Integral b => b -> And a -> And a Source #
FiniteBits a => Semigroup (Iff a) Source #	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 (<>) :: Iff a -> Iff a -> Iff a Source # sconcat :: NonEmpty (Iff a) -> Iff a Source # stimes :: Integral b => b -> Iff a -> Iff a Source #
Bits a => Semigroup (Ior a) Source #	Since: base-4.16
Instance details Defined in GHC.Internal.Data.Bits Methods (<>) :: Ior a -> Ior a -> Ior a Source # sconcat :: NonEmpty (Ior a) -> Ior a Source # stimes :: Integral b => b -> Ior a -> Ior a Source #
Bits a => Semigroup (Xor a) Source #	Since: base-4.16
Instance details Defined in GHC.Internal.Data.Bits Methods (<>) :: Xor a -> Xor a -> Xor a Source # sconcat :: NonEmpty (Xor a) -> Xor a Source # stimes :: Integral b => b -> Xor a -> Xor a Source #
Semigroup a => Semigroup (Identity a) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Functor.Identity Methods (<>) :: Identity a -> Identity a -> Identity a Source # sconcat :: NonEmpty (Identity a) -> Identity a Source # stimes :: Integral b => b -> Identity a -> Identity a Source #
Ord a => Semigroup (Max a) Source #	Since: base-4.11.0.0
Instance details Defined in GHC.Internal.Data.Functor.Utils Methods (<>) :: Max a -> Max a -> Max a Source # sconcat :: NonEmpty (Max a) -> Max a Source # stimes :: Integral b => b -> Max a -> Max a Source #
Ord a => Semigroup (Min a) Source #	Since: base-4.11.0.0
Instance details Defined in GHC.Internal.Data.Functor.Utils Methods (<>) :: Min a -> Min a -> Min a Source # sconcat :: NonEmpty (Min a) -> Min a Source # stimes :: Integral b => b -> Min a -> Min a Source #
Semigroup (First a) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Monoid Methods (<>) :: First a -> First a -> First a Source # sconcat :: NonEmpty (First a) -> First a Source # stimes :: Integral b => b -> First a -> First a Source #
Semigroup (Last a) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Monoid Methods (<>) :: Last a -> Last a -> Last a Source # sconcat :: NonEmpty (Last a) -> Last a Source # stimes :: Integral b => b -> Last a -> Last a Source #
Semigroup a => Semigroup (Down a) Source #	Since: base-4.11.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods (<>) :: Down a -> Down a -> Down a Source # sconcat :: NonEmpty (Down a) -> Down a Source # stimes :: Integral b => b -> Down a -> Down a Source #
Semigroup a => Semigroup (Dual a) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods (<>) :: Dual a -> Dual a -> Dual a Source # sconcat :: NonEmpty (Dual a) -> Dual a Source # stimes :: Integral b => b -> Dual a -> Dual a Source #
Semigroup (Endo a) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods (<>) :: Endo a -> Endo a -> Endo a Source # sconcat :: NonEmpty (Endo a) -> Endo a Source # stimes :: Integral b => b -> Endo a -> Endo a Source #
Num a => Semigroup (Product a) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods (<>) :: Product a -> Product a -> Product a Source # sconcat :: NonEmpty (Product a) -> Product a Source # stimes :: Integral b => b -> Product a -> Product a Source #
Num a => Semigroup (Sum a) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods (<>) :: Sum a -> Sum a -> Sum a Source # sconcat :: NonEmpty (Sum a) -> Sum a Source # stimes :: Integral b => b -> Sum a -> Sum a Source #
(Generic a, Semigroup (Rep a ())) => Semigroup (Generically a) Source #	Since: base-4.17.0.0
Instance details Defined in GHC.Internal.Generics Methods (<>) :: Generically a -> Generically a -> Generically a Source # sconcat :: NonEmpty (Generically a) -> Generically a Source # stimes :: Integral b => b -> Generically a -> Generically a Source #
Semigroup p => Semigroup (Par1 p) Source #	Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Generics Methods (<>) :: Par1 p -> Par1 p -> Par1 p Source # sconcat :: NonEmpty (Par1 p) -> Par1 p Source # stimes :: Integral b => b -> Par1 p -> Par1 p Source #
Semigroup a => Semigroup (Q a) Source #	Since: ghc-internal-2.17.0.0
Instance details Defined in GHC.Internal.TH.Syntax Methods (<>) :: Q a -> Q a -> Q a Source # sconcat :: NonEmpty (Q a) -> Q a Source # stimes :: Integral b => b -> Q a -> Q a Source #
Semigroup a => Semigroup (IO a) Source #	Since: base-4.10.0.0
Instance details Defined in GHC.Internal.Base Methods (<>) :: IO a -> IO a -> IO a Source # sconcat :: NonEmpty (IO a) -> IO a Source # stimes :: Integral b => b -> IO a -> IO a Source #
Semigroup a => Semigroup (Maybe a) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods (<>) :: Maybe a -> Maybe a -> Maybe a Source # sconcat :: NonEmpty (Maybe a) -> Maybe a Source # stimes :: Integral b => b -> Maybe a -> Maybe a Source #
Semigroup a => Semigroup (Solo a) Source #	Since: base-4.15
Instance details Defined in GHC.Internal.Base Methods (<>) :: Solo a -> Solo a -> Solo a Source # sconcat :: NonEmpty (Solo a) -> Solo a Source # stimes :: Integral b => b -> Solo a -> Solo a Source #
Semigroup [a] Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods (<>) :: [a] -> [a] -> [a] Source # sconcat :: NonEmpty [a] -> [a] Source # stimes :: Integral b => b -> [a] -> [a] Source #
Semigroup a => Semigroup (Op a b) Source #	`(<>) @(Op a b)` without newtypes is `(<>) @(b->a)` = `liftA2 (<>)`. This lifts the `Semigroup` operation `(<>)` over the output of `a`. (<>) :: Op a b -> Op a b -> Op a b Op f <> Op g = Op a -> f a <> g a
Instance details Defined in Data.Functor.Contravariant Methods (<>) :: Op a b -> Op a b -> Op a b Source # sconcat :: NonEmpty (Op a b) -> Op a b Source # stimes :: Integral b0 => b0 -> Op a b -> Op a b Source #
Semigroup (Either a b) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Either Methods (<>) :: Either a b -> Either a b -> Either a b Source # sconcat :: NonEmpty (Either a b) -> Either a b Source # stimes :: Integral b0 => b0 -> Either a b -> Either a b Source #
Semigroup (Proxy s) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Proxy Methods (<>) :: Proxy s -> Proxy s -> Proxy s Source # sconcat :: NonEmpty (Proxy s) -> Proxy s Source # stimes :: Integral b => b -> Proxy s -> Proxy s Source #
Semigroup (U1 p) Source #	Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Generics Methods (<>) :: U1 p -> U1 p -> U1 p Source # sconcat :: NonEmpty (U1 p) -> U1 p Source # stimes :: Integral b => b -> U1 p -> U1 p Source #
Semigroup (V1 p) Source #	Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Generics Methods (<>) :: V1 p -> V1 p -> V1 p Source # sconcat :: NonEmpty (V1 p) -> V1 p Source # stimes :: Integral b => b -> V1 p -> V1 p Source #
Semigroup a => Semigroup (ST s a) Source #	Since: base-4.11.0.0
Instance details Defined in GHC.Internal.ST Methods (<>) :: ST s a -> ST s a -> ST s a Source # sconcat :: NonEmpty (ST s a) -> ST s a Source # stimes :: Integral b => b -> ST s a -> ST s a Source #
(Semigroup a, Semigroup b) => Semigroup (a, b) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods (<>) :: (a, b) -> (a, b) -> (a, b) Source # sconcat :: NonEmpty (a, b) -> (a, b) Source # stimes :: Integral b0 => b0 -> (a, b) -> (a, b) Source #
Semigroup b => Semigroup (a -> b) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods (<>) :: (a -> b) -> (a -> b) -> a -> b Source # sconcat :: NonEmpty (a -> b) -> a -> b Source # stimes :: Integral b0 => b0 -> (a -> b) -> a -> b Source #
Semigroup a => Semigroup (Const a b) Source #	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 # sconcat :: NonEmpty (Const a b) -> Const a b Source # stimes :: Integral b0 => b0 -> Const a b -> Const a b Source #
(Applicative f, Semigroup a) => Semigroup (Ap f a) Source #	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 #
Alternative f => Semigroup (Alt f a) Source #	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 #
Semigroup (f p) => Semigroup (Rec1 f p) Source #	Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Generics Methods (<>) :: Rec1 f p -> Rec1 f p -> Rec1 f p Source # sconcat :: NonEmpty (Rec1 f p) -> Rec1 f p Source # stimes :: Integral b => b -> Rec1 f p -> Rec1 f p Source #
(Semigroup a, Semigroup b, Semigroup c) => Semigroup (a, b, c) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods (<>) :: (a, b, c) -> (a, b, c) -> (a, b, c) Source # sconcat :: NonEmpty (a, b, c) -> (a, b, c) Source # stimes :: Integral b0 => b0 -> (a, b, c) -> (a, b, c) Source #
(Semigroup (f a), Semigroup (g a)) => Semigroup (Product f g a) Source #	Since: base-4.16.0.0
Instance details Defined in Data.Functor.Product Methods (<>) :: Product f g a -> Product f g a -> Product f g a Source # sconcat :: NonEmpty (Product f g a) -> Product f g a Source # stimes :: Integral b => b -> Product f g a -> Product f g a Source #
(Semigroup (f p), Semigroup (g p)) => Semigroup ((f :*: g) p) Source #	Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Generics Methods (<>) :: (f :: g) p -> (f :: g) p -> (f :: g) p Source # sconcat :: NonEmpty ((f :: g) p) -> (f :: g) p Source # stimes :: Integral b => b -> (f :: g) p -> (f :*: g) p Source #
Semigroup c => Semigroup (K1 i c p) Source #	Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Generics Methods (<>) :: K1 i c p -> K1 i c p -> K1 i c p Source # sconcat :: NonEmpty (K1 i c p) -> K1 i c p Source # stimes :: Integral b => b -> K1 i c p -> K1 i c p Source #
(Semigroup a, Semigroup b, Semigroup c, Semigroup d) => Semigroup (a, b, c, d) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods (<>) :: (a, b, c, d) -> (a, b, c, d) -> (a, b, c, d) Source # sconcat :: NonEmpty (a, b, c, d) -> (a, b, c, d) Source # stimes :: Integral b0 => b0 -> (a, b, c, d) -> (a, b, c, d) Source #
Semigroup (f (g a)) => Semigroup (Compose f g a) Source #	Since: base-4.16.0.0
Instance details Defined in Data.Functor.Compose Methods (<>) :: Compose f g a -> Compose f g a -> Compose f g a Source # sconcat :: NonEmpty (Compose f g a) -> Compose f g a Source # stimes :: Integral b => b -> Compose f g a -> Compose f g a Source #
Semigroup (f (g p)) => Semigroup ((f :.: g) p) Source #	Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Generics Methods (<>) :: (f :.: g) p -> (f :.: g) p -> (f :.: g) p Source # sconcat :: NonEmpty ((f :.: g) p) -> (f :.: g) p Source # stimes :: Integral b => b -> (f :.: g) p -> (f :.: g) p Source #
Semigroup (f p) => Semigroup (M1 i c f p) Source #	Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Generics Methods (<>) :: M1 i c f p -> M1 i c f p -> M1 i c f p Source # sconcat :: NonEmpty (M1 i c f p) -> M1 i c f p Source # stimes :: Integral b => b -> M1 i c f p -> M1 i c f p Source #
(Semigroup a, Semigroup b, Semigroup c, Semigroup d, Semigroup e) => Semigroup (a, b, c, d, e) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods (<>) :: (a, b, c, d, e) -> (a, b, c, d, e) -> (a, b, c, d, e) Source # sconcat :: NonEmpty (a, b, c, d, e) -> (a, b, c, d, e) Source # stimes :: Integral b0 => b0 -> (a, b, c, d, e) -> (a, b, c, d, e) 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 newtypes and make those instances of Monoid, e.g. Sum and Product.

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

Minimal complete definition

mempty | 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 Source #	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 Source #	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 Source #	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 Event Source #	Since: base-4.4.0.0
Instance details Defined in GHC.Internal.Event.Internal.Types Methods mempty :: Event Source # mappend :: Event -> Event -> Event Source # mconcat :: [Event] -> Event Source #
Monoid EventLifetime Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Event.Internal.Types Methods mempty :: EventLifetime Source # mappend :: EventLifetime -> EventLifetime -> EventLifetime Source # mconcat :: [EventLifetime] -> EventLifetime Source #
Monoid Lifetime Source #	`mappend` takes the longer of two lifetimes. Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Event.Internal.Types Methods mempty :: Lifetime Source # mappend :: Lifetime -> Lifetime -> Lifetime Source # mconcat :: [Lifetime] -> Lifetime Source #
Monoid ExceptionContext Source #
Instance details Defined in GHC.Internal.Exception.Context Methods mempty :: ExceptionContext Source # mappend :: ExceptionContext -> ExceptionContext -> ExceptionContext Source # mconcat :: [ExceptionContext] -> ExceptionContext Source #
Monoid Ordering Source #	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 () Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Base Methods mempty :: () Source # mappend :: () -> () -> () Source # mconcat :: [()] -> () Source #
Monoid (Comparison a) Source #	`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) Source #	`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) Source #	`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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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 #
Ord a => Monoid (Max a) Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Functor.Utils Methods mempty :: Max a Source # mappend :: Max a -> Max a -> Max a Source # mconcat :: [Max a] -> Max a Source #
Ord a => Monoid (Min a) Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Functor.Utils Methods mempty :: Min a Source # mappend :: Min a -> Min a -> Min a Source # mconcat :: [Min a] -> Min a Source #
Monoid (First a) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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 (Q a) Source #	Since: ghc-internal-2.17.0.0
Instance details Defined in GHC.Internal.TH.Syntax Methods mempty :: Q a Source # mappend :: Q a -> Q a -> Q a Source # mconcat :: [Q a] -> Q a Source #
Monoid a => Monoid (IO a) Source #	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) Source #	Lift a semigroup into `Maybe` forming a `Monoid` according to http://en.wikipedia.org/wiki/Monoid: "Any semigroup `S` may be turned into a monoid simply by adjoining an element `e` not in `S` and defining `ee = e` and `es = s = se` for all `s ∈ S`." Since 4.11.0: constraint on inner `a` value generalised from `Monoid` to `Semigroup`. Since: base-2.1*
Instance details Defined in GHC.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) Source #	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] Source #	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) Source #	`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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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 #

Monads and functors

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

A type f is a Functor if it provides a function fmap which, given any types a and b lets you apply any function from (a -> b) to turn an f a into an f b, preserving the structure of f. Furthermore f needs to adhere to the following:

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

Note, that the second law follows from the free theorem of the type fmap and the first law, so you need only check that the former condition holds. See these articles by School of Haskell or David Luposchainsky for an explanation.

Minimal complete definition

fmap

Methods

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

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

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

Examples

Expand

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

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

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

>>> fmap show (Left 17)
Left 17
>>> fmap show (Right 17)
Right "17"

Double each element of a list:

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

Apply even to the second element of a pair:

>>> fmap even (2,2)
(2,True)

It may seem surprising that the function is only applied to the last element of the tuple compared to the list example above which applies it to every element in the list. To understand, remember that tuples are type constructors with multiple type parameters: a tuple of 3 elements (a,b,c) can also be written (,,) a b c and its Functor instance is defined for Functor ((,,) a b) (i.e., only the third parameter is free to be mapped over with fmap).

It explains why fmap can be used with tuples containing values of different types as in the following example:

>>> fmap even ("hello", 1.0, 4)
("hello",1.0,True)

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

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

Examples

Expand

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

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

Instances

Instances details

Functor Complex Source #	Since: base-4.9.0.0
Instance details Defined in Data.Complex Methods fmap :: (a -> b) -> Complex a -> Complex b Source # (<$) :: a -> Complex b -> Complex a Source #
Functor First Source #	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fmap :: (a -> b) -> First a -> First b Source # (<$) :: a -> First b -> First a Source #
Functor Last Source #	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fmap :: (a -> b) -> Last a -> Last b Source # (<$) :: a -> Last b -> Last a Source #
Functor Max Source #	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fmap :: (a -> b) -> Max a -> Max b Source # (<$) :: a -> Max b -> Max a Source #
Functor Min Source #	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fmap :: (a -> b) -> Min a -> Min b Source # (<$) :: a -> Min b -> Min a Source #
Functor ArgDescr Source #	Since: base-4.7.0.0
Instance details Defined in System.Console.GetOpt Methods fmap :: (a -> b) -> ArgDescr a -> ArgDescr b Source # (<$) :: a -> ArgDescr b -> ArgDescr a Source #
Functor ArgOrder Source #	Since: base-4.7.0.0
Instance details Defined in System.Console.GetOpt Methods fmap :: (a -> b) -> ArgOrder a -> ArgOrder b Source # (<$) :: a -> ArgOrder b -> ArgOrder a Source #
Functor OptDescr Source #	Since: base-4.7.0.0
Instance details Defined in System.Console.GetOpt Methods fmap :: (a -> b) -> OptDescr a -> OptDescr b Source # (<$) :: a -> OptDescr b -> OptDescr a Source #
Functor NonEmpty Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.NonEmpty Methods fmap :: (a -> b) -> NonEmpty a -> NonEmpty b Source # (<$) :: a -> NonEmpty b -> NonEmpty a Source #
Functor STM Source #	Since: base-4.3.0.0
Instance details Defined in GHC.Internal.Conc.Sync Methods fmap :: (a -> b) -> STM a -> STM b Source # (<$) :: a -> STM b -> STM a Source #
Functor Handler Source #	Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Control.Exception Methods fmap :: (a -> b) -> Handler a -> Handler b Source # (<$) :: a -> Handler b -> Handler a Source #
Functor Identity Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Functor.Identity Methods fmap :: (a -> b) -> Identity a -> Identity b Source # (<$) :: a -> Identity b -> Identity a Source #
Functor First Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Monoid Methods fmap :: (a -> b) -> First a -> First b Source # (<$) :: a -> First b -> First a Source #
Functor Last Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Monoid Methods fmap :: (a -> b) -> Last a -> Last b Source # (<$) :: a -> Last b -> Last a Source #
Functor Down Source #	Since: base-4.11.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods fmap :: (a -> b) -> Down a -> Down b Source # (<$) :: a -> Down b -> Down a Source #
Functor Dual Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods fmap :: (a -> b) -> Dual a -> Dual b Source # (<$) :: a -> Dual b -> Dual a Source #
Functor Product Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods fmap :: (a -> b) -> Product a -> Product b Source # (<$) :: a -> Product b -> Product a Source #
Functor Sum Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods fmap :: (a -> b) -> Sum a -> Sum b Source # (<$) :: a -> Sum b -> Sum a Source #
Functor ZipList Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Functor.ZipList Methods fmap :: (a -> b) -> ZipList a -> ZipList b Source # (<$) :: a -> ZipList b -> ZipList a Source #
Functor NoIO Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.GHCi Methods fmap :: (a -> b) -> NoIO a -> NoIO b Source # (<$) :: a -> NoIO b -> NoIO a Source #
Functor Par1 Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> Par1 a -> Par1 b Source # (<$) :: a -> Par1 b -> Par1 a Source #
Functor GenClosure Source #
Instance details Defined in GHC.Internal.Heap.Closures Methods fmap :: (a -> b) -> GenClosure a -> GenClosure b Source # (<$) :: a -> GenClosure b -> GenClosure a Source #
Functor GenStackField Source #
Instance details Defined in GHC.Internal.Heap.Closures Methods fmap :: (a -> b) -> GenStackField a -> GenStackField b Source # (<$) :: a -> GenStackField b -> GenStackField a Source #
Functor GenStackFrame Source #
Instance details Defined in GHC.Internal.Heap.Closures Methods fmap :: (a -> b) -> GenStackFrame a -> GenStackFrame b Source # (<$) :: a -> GenStackFrame b -> GenStackFrame a Source #
Functor GenStgStackClosure Source #
Instance details Defined in GHC.Internal.Heap.Closures Methods fmap :: (a -> b) -> GenStgStackClosure a -> GenStgStackClosure b Source # (<$) :: a -> GenStgStackClosure b -> GenStgStackClosure a Source #
Functor Q Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods fmap :: (a -> b) -> Q a -> Q b Source # (<$) :: a -> Q b -> Q a Source #
Functor TyVarBndr Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods fmap :: (a -> b) -> TyVarBndr a -> TyVarBndr b Source # (<$) :: a -> TyVarBndr b -> TyVarBndr a Source #
Functor P Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Text.ParserCombinators.ReadP Methods fmap :: (a -> b) -> P a -> P b Source # (<$) :: a -> P b -> P a Source #
Functor ReadP Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Text.ParserCombinators.ReadP Methods fmap :: (a -> b) -> ReadP a -> ReadP b Source # (<$) :: a -> ReadP b -> ReadP a Source #
Functor ReadPrec Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Text.ParserCombinators.ReadPrec Methods fmap :: (a -> b) -> ReadPrec a -> ReadPrec b Source # (<$) :: a -> ReadPrec b -> ReadPrec a Source #
Functor IO Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Base Methods fmap :: (a -> b) -> IO a -> IO b Source # (<$) :: a -> IO b -> IO a Source #
Functor Maybe Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Base Methods fmap :: (a -> b) -> Maybe a -> Maybe b Source # (<$) :: a -> Maybe b -> Maybe a Source #
Functor Solo Source #	Since: base-4.15
Instance details Defined in GHC.Internal.Base Methods fmap :: (a -> b) -> Solo a -> Solo b Source # (<$) :: a -> Solo b -> Solo a Source #
Functor [] Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Base Methods fmap :: (a -> b) -> [a] -> [b] Source # (<$) :: a -> [b] -> [a] Source #
Monad m => Functor (WrappedMonad m) Source #	Since: base-2.1
Instance details Defined in Control.Applicative Methods fmap :: (a -> b) -> WrappedMonad m a -> WrappedMonad m b Source # (<$) :: a -> WrappedMonad m b -> WrappedMonad m a Source #
Functor (Arg a) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fmap :: (a0 -> b) -> Arg a a0 -> Arg a b Source # (<$) :: a0 -> Arg a b -> Arg a a0 Source #
Functor (Array i) Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Arr Methods fmap :: (a -> b) -> Array i a -> Array i b Source # (<$) :: a -> Array i b -> Array i a Source #
Arrow a => Functor (ArrowMonad a) Source #	Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Control.Arrow Methods fmap :: (a0 -> b) -> ArrowMonad a a0 -> ArrowMonad a b Source # (<$) :: a0 -> ArrowMonad a b -> ArrowMonad a a0 Source #
Functor (ST s) Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Control.Monad.ST.Lazy.Imp Methods fmap :: (a -> b) -> ST s a -> ST s b Source # (<$) :: a -> ST s b -> ST s a Source #
Functor (Either a) Source #	Since: base-3.0
Instance details Defined in GHC.Internal.Data.Either Methods fmap :: (a0 -> b) -> Either a a0 -> Either a b Source # (<$) :: a0 -> Either a b -> Either a a0 Source #
Functor (StateL s) Source #	Since: base-4.0
Instance details Defined in GHC.Internal.Data.Functor.Utils Methods fmap :: (a -> b) -> StateL s a -> StateL s b Source # (<$) :: a -> StateL s b -> StateL s a Source #
Functor (StateR s) Source #	Since: base-4.0
Instance details Defined in GHC.Internal.Data.Functor.Utils Methods fmap :: (a -> b) -> StateR s a -> StateR s b Source # (<$) :: a -> StateR s b -> StateR s a Source #
Functor (Proxy :: Type -> Type) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Proxy Methods fmap :: (a -> b) -> Proxy a -> Proxy b Source # (<$) :: a -> Proxy b -> Proxy a Source #
Functor (U1 :: Type -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> U1 a -> U1 b Source # (<$) :: a -> U1 b -> U1 a Source #
Functor (V1 :: Type -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> V1 a -> V1 b Source # (<$) :: a -> V1 b -> V1 a Source #
Functor (ST s) Source #	Since: base-2.1
Instance details Defined in GHC.Internal.ST Methods fmap :: (a -> b) -> ST s a -> ST s b Source # (<$) :: a -> ST s b -> ST s a Source #
Functor ((,) a) Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Base Methods fmap :: (a0 -> b) -> (a, a0) -> (a, b) Source # (<$) :: a0 -> (a, b) -> (a, a0) Source #
Arrow a => Functor (WrappedArrow a b) Source #	Since: base-2.1
Instance details Defined in Control.Applicative Methods fmap :: (a0 -> b0) -> WrappedArrow a b a0 -> WrappedArrow a b b0 Source # (<$) :: a0 -> WrappedArrow a b b0 -> WrappedArrow a b a0 Source #
Functor m => Functor (Kleisli m a) Source #	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 # (<$) :: a0 -> Kleisli m a b -> Kleisli m a a0 Source #
Functor (Const m :: Type -> Type) Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Data.Functor.Const Methods fmap :: (a -> b) -> Const m a -> Const m b Source # (<$) :: a -> Const m b -> Const m a Source #
Monad m => Functor (StateT s m) Source #	Since: base-4.18.0.0
Instance details Defined in GHC.Internal.Data.Functor.Utils Methods fmap :: (a -> b) -> StateT s m a -> StateT s m b Source # (<$) :: a -> StateT s m b -> StateT s m a Source #
Functor f => Functor (Ap f) Source #	Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Monoid Methods fmap :: (a -> b) -> Ap f a -> Ap f b Source # (<$) :: a -> Ap f b -> Ap f a Source #
Functor f => Functor (Alt f) Source #	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 # (<$) :: a -> Alt f b -> Alt f a Source #
(Generic1 f, Functor (Rep1 f)) => Functor (Generically1 f) Source #	Since: base-4.17.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> Generically1 f a -> Generically1 f b Source # (<$) :: a -> Generically1 f b -> Generically1 f a Source #
Functor f => Functor (Rec1 f) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> Rec1 f a -> Rec1 f b Source # (<$) :: a -> Rec1 f b -> Rec1 f a Source #
Functor (URec (Ptr ()) :: Type -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> URec (Ptr ()) a -> URec (Ptr ()) b Source # (<$) :: a -> URec (Ptr ()) b -> URec (Ptr ()) a Source #
Functor (URec Char :: Type -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> URec Char a -> URec Char b Source # (<$) :: a -> URec Char b -> URec Char a Source #
Functor (URec Double :: Type -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> URec Double a -> URec Double b Source # (<$) :: a -> URec Double b -> URec Double a Source #
Functor (URec Float :: Type -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> URec Float a -> URec Float b Source # (<$) :: a -> URec Float b -> URec Float a Source #
Functor (URec Int :: Type -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> URec Int a -> URec Int b Source # (<$) :: a -> URec Int b -> URec Int a Source #
Functor (URec Word :: Type -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> URec Word a -> URec Word b Source # (<$) :: a -> URec Word b -> URec Word a Source #
Functor ((,,) a b) Source #	Since: base-4.14.0.0
Instance details Defined in GHC.Internal.Base Methods fmap :: (a0 -> b0) -> (a, b, a0) -> (a, b, b0) Source # (<$) :: a0 -> (a, b, b0) -> (a, b, a0) Source #
(Functor f, Functor g) => Functor (Product f g) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Product Methods fmap :: (a -> b) -> Product f g a -> Product f g b Source # (<$) :: a -> Product f g b -> Product f g a Source #
(Functor f, Functor g) => Functor (Sum f g) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Sum Methods fmap :: (a -> b) -> Sum f g a -> Sum f g b Source # (<$) :: a -> Sum f g b -> Sum f g a Source #
(Functor f, Functor g) => Functor (f :*: g) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> (f :: g) a -> (f :: g) b Source # (<$) :: a -> (f :: g) b -> (f :: g) a Source #
(Functor f, Functor g) => Functor (f :+: g) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> (f :+: g) a -> (f :+: g) b Source # (<$) :: a -> (f :+: g) b -> (f :+: g) a Source #
Functor (K1 i c :: Type -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> K1 i c a -> K1 i c b Source # (<$) :: a -> K1 i c b -> K1 i c a Source #
Functor ((,,,) a b c) Source #	Since: base-4.14.0.0
Instance details Defined in GHC.Internal.Base Methods fmap :: (a0 -> b0) -> (a, b, c, a0) -> (a, b, c, b0) Source # (<$) :: a0 -> (a, b, c, b0) -> (a, b, c, a0) Source #
Functor ((->) r) Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Base Methods fmap :: (a -> b) -> (r -> a) -> r -> b Source # (<$) :: a -> (r -> b) -> r -> a Source #
(Functor f, Functor g) => Functor (Compose f g) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Compose Methods fmap :: (a -> b) -> Compose f g a -> Compose f g b Source # (<$) :: a -> Compose f g b -> Compose f g a Source #
(Functor f, Functor g) => Functor (f :.: g) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> (f :.: g) a -> (f :.: g) b Source # (<$) :: a -> (f :.: g) b -> (f :.: g) a Source #
Functor f => Functor (M1 i c f) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> M1 i c f a -> M1 i c f b Source # (<$) :: a -> M1 i c f b -> M1 i c f a Source #
Functor ((,,,,) a b c d) Source #	Since: base-4.18.0.0
Instance details Defined in GHC.Internal.Base Methods fmap :: (a0 -> b0) -> (a, b, c, d, a0) -> (a, b, c, d, b0) Source # (<$) :: a0 -> (a, b, c, d, b0) -> (a, b, c, d, a0) Source #
Functor ((,,,,,) a b c d e) Source #	Since: base-4.18.0.0
Instance details Defined in GHC.Internal.Base Methods fmap :: (a0 -> b0) -> (a, b, c, d, e, a0) -> (a, b, c, d, e, b0) Source # (<$) :: a0 -> (a, b, c, d, e, b0) -> (a, b, c, d, e, a0) Source #
Functor ((,,,,,,) a b c d e f) Source #	Since: base-4.18.0.0
Instance details Defined in GHC.Internal.Base Methods fmap :: (a0 -> b0) -> (a, b, c, d, e, f, a0) -> (a, b, c, d, e, f, b0) Source # (<$) :: a0 -> (a, b, c, d, e, f, b0) -> (a, b, c, d, e, f, a0) Source #

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

An infix synonym for fmap.

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

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

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

Examples

Expand

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

>>> show <$> Nothing
Nothing

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

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

>>> show <$> Left 17
Left 17

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

Double each element of a list:

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

Apply even to the second element of a pair:

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

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

A functor with application, providing operations to

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

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

(<*>) = liftA2 id

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

Further, any definition must satisfy the following:

Identity

pure id <*> v = v

Composition

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

Homomorphism

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

Interchange

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

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

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

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

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

It may be useful to note that supposing

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

it follows from the above that

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

If f is also a Monad, it should satisfy

```
pure = return
```

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

```
(*>) = (>>)
```

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

Minimal complete definition

pure, ((<*>) | liftA2)

Methods

pure :: a -> f a Source #

Lift a value into the Structure.

Examples

Expand

>>> pure 1 :: Maybe Int
Just 1

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

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

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

Sequential application.

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

Example

Expand

Used in combination with (<$>), (<*>) can be used to build a record.

>>> data MyState = MyState {arg1 :: Foo, arg2 :: Bar, arg3 :: Baz}

>>> produceFoo :: Applicative f => f Foo
>>> produceBar :: Applicative f => f Bar
>>> produceBaz :: Applicative f => f Baz

>>> mkState :: Applicative f => f MyState
>>> mkState = MyState <$> produceFoo <*> produceBar <*> produceBaz

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

Lift a binary function to actions.

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

This became a typeclass method in 4.10.0.0. Prior to that, it was a function defined in terms of <*> and fmap.

Example

Expand

>>> liftA2 (,) (Just 3) (Just 5)
Just (3,5)

>>> liftA2 (+) [1, 2, 3] [4, 5, 6]
[5,6,7,6,7,8,7,8,9]

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

Sequence actions, discarding the value of the first argument.

Examples

Expand

If used in conjunction with the Applicative instance for Maybe, you can chain Maybe computations, with a possible "early return" in case of Nothing.

>>> Just 2 *> Just 3
Just 3

>>> Nothing *> Just 3
Nothing

Of course a more interesting use case would be to have effectful computations instead of just returning pure values.

>>> import Data.Char
>>> import GHC.Internal.Text.ParserCombinators.ReadP
>>> let p = string "my name is " *> munch1 isAlpha <* eof
>>> readP_to_S p "my name is Simon"
[("Simon","")]

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

Sequence actions, discarding the value of the second argument.

Instances

Instances details

Applicative Complex Source #	Since: base-4.9.0.0
Instance details Defined in Data.Complex Methods pure :: a -> Complex a Source # (<>) :: Complex (a -> b) -> Complex a -> Complex b Source # liftA2 :: (a -> b -> c) -> Complex a -> Complex b -> Complex c Source # (>) :: Complex a -> Complex b -> Complex b Source # (<*) :: Complex a -> Complex b -> Complex a Source #
Applicative First Source #	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods pure :: a -> First a Source # (<>) :: First (a -> b) -> First a -> First b Source # liftA2 :: (a -> b -> c) -> First a -> First b -> First c Source # (>) :: First a -> First b -> First b Source # (<*) :: First a -> First b -> First a Source #
Applicative Last Source #	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods pure :: a -> Last a Source # (<>) :: Last (a -> b) -> Last a -> Last b Source # liftA2 :: (a -> b -> c) -> Last a -> Last b -> Last c Source # (>) :: Last a -> Last b -> Last b Source # (<*) :: Last a -> Last b -> Last a Source #
Applicative Max Source #	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods pure :: a -> Max a Source # (<>) :: Max (a -> b) -> Max a -> Max b Source # liftA2 :: (a -> b -> c) -> Max a -> Max b -> Max c Source # (>) :: Max a -> Max b -> Max b Source # (<*) :: Max a -> Max b -> Max a Source #
Applicative Min Source #	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods pure :: a -> Min a Source # (<>) :: Min (a -> b) -> Min a -> Min b Source # liftA2 :: (a -> b -> c) -> Min a -> Min b -> Min c Source # (>) :: Min a -> Min b -> Min b Source # (<*) :: Min a -> Min b -> Min a Source #
Applicative NonEmpty Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.NonEmpty 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 #
Applicative STM Source #	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 #
Applicative Identity Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Functor.Identity Methods pure :: a -> Identity a Source # (<>) :: Identity (a -> b) -> Identity a -> Identity b Source # liftA2 :: (a -> b -> c) -> Identity a -> Identity b -> Identity c Source # (>) :: Identity a -> Identity b -> Identity b Source # (<*) :: Identity a -> Identity b -> Identity a Source #
Applicative First Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Monoid Methods pure :: a -> First a Source # (<>) :: First (a -> b) -> First a -> First b Source # liftA2 :: (a -> b -> c) -> First a -> First b -> First c Source # (>) :: First a -> First b -> First b Source # (<*) :: First a -> First b -> First a Source #
Applicative Last Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Monoid Methods pure :: a -> Last a Source # (<>) :: Last (a -> b) -> Last a -> Last b Source # liftA2 :: (a -> b -> c) -> Last a -> Last b -> Last c Source # (>) :: Last a -> Last b -> Last b Source # (<*) :: Last a -> Last b -> Last a Source #
Applicative Down Source #	Since: base-4.11.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods pure :: a -> Down a Source # (<>) :: Down (a -> b) -> Down a -> Down b Source # liftA2 :: (a -> b -> c) -> Down a -> Down b -> Down c Source # (>) :: Down a -> Down b -> Down b Source # (<*) :: Down a -> Down b -> Down a Source #
Applicative Dual Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods pure :: a -> Dual a Source # (<>) :: Dual (a -> b) -> Dual a -> Dual b Source # liftA2 :: (a -> b -> c) -> Dual a -> Dual b -> Dual c Source # (>) :: Dual a -> Dual b -> Dual b Source # (<*) :: Dual a -> Dual b -> Dual a Source #
Applicative Product Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods pure :: a -> Product a Source # (<>) :: Product (a -> b) -> Product a -> Product b Source # liftA2 :: (a -> b -> c) -> Product a -> Product b -> Product c Source # (>) :: Product a -> Product b -> Product b Source # (<*) :: Product a -> Product b -> Product a Source #
Applicative Sum Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods pure :: a -> Sum a Source # (<>) :: Sum (a -> b) -> Sum a -> Sum b Source # liftA2 :: (a -> b -> c) -> Sum a -> Sum b -> Sum c Source # (>) :: Sum a -> Sum b -> Sum b Source # (<*) :: Sum a -> Sum b -> Sum a Source #
Applicative ZipList Source #	f <$> ZipList xs1 <> ... <> ZipList xsN = ZipList (zipWithN f xs1 ... xsN) where `zipWithN` refers to the `zipWith` function of the appropriate arity (`zipWith`, `zipWith3`, `zipWith4`, ...). For example: (\a b c -> stimes c [a, b]) <$> ZipList "abcd" <> ZipList "567" <> ZipList [1..] = ZipList (zipWith3 (\a b c -> stimes c [a, b]) "abcd" "567" [1..]) = ZipList {getZipList = ["a5","b6b6","c7c7c7"]} Since: base-2.1
Instance details Defined in GHC.Internal.Functor.ZipList Methods pure :: a -> ZipList a Source # (<>) :: ZipList (a -> b) -> ZipList a -> ZipList b Source # liftA2 :: (a -> b -> c) -> ZipList a -> ZipList b -> ZipList c Source # (>) :: ZipList a -> ZipList b -> ZipList b Source # (<*) :: ZipList a -> ZipList b -> ZipList a Source #
Applicative NoIO Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.GHCi Methods pure :: a -> NoIO a Source # (<>) :: NoIO (a -> b) -> NoIO a -> NoIO b Source # liftA2 :: (a -> b -> c) -> NoIO a -> NoIO b -> NoIO c Source # (>) :: NoIO a -> NoIO b -> NoIO b Source # (<*) :: NoIO a -> NoIO b -> NoIO a Source #
Applicative Par1 Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods pure :: a -> Par1 a Source # (<>) :: Par1 (a -> b) -> Par1 a -> Par1 b Source # liftA2 :: (a -> b -> c) -> Par1 a -> Par1 b -> Par1 c Source # (>) :: Par1 a -> Par1 b -> Par1 b Source # (<*) :: Par1 a -> Par1 b -> Par1 a Source #
Applicative Q Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods pure :: a -> Q a Source # (<>) :: Q (a -> b) -> Q a -> Q b Source # liftA2 :: (a -> b -> c) -> Q a -> Q b -> Q c Source # (>) :: Q a -> Q b -> Q b Source # (<*) :: Q a -> Q b -> Q a Source #
Applicative P Source #	Since: base-4.5.0.0
Instance details Defined in GHC.Internal.Text.ParserCombinators.ReadP Methods pure :: a -> P a Source # (<>) :: P (a -> b) -> P a -> P b Source # liftA2 :: (a -> b -> c) -> P a -> P b -> P c Source # (>) :: P a -> P b -> P b Source # (<*) :: P a -> P b -> P a Source #
Applicative ReadP Source #	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 #
Applicative ReadPrec Source #	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 #
Applicative IO Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Base Methods pure :: a -> IO a Source # (<>) :: IO (a -> b) -> IO a -> IO b Source # liftA2 :: (a -> b -> c) -> IO a -> IO b -> IO c Source # (>) :: IO a -> IO b -> IO b Source # (<*) :: IO a -> IO b -> IO a Source #
Applicative Maybe Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Base Methods pure :: a -> Maybe a Source # (<>) :: Maybe (a -> b) -> Maybe a -> Maybe b Source # liftA2 :: (a -> b -> c) -> Maybe a -> Maybe b -> Maybe c Source # (>) :: Maybe a -> Maybe b -> Maybe b Source # (<*) :: Maybe a -> Maybe b -> Maybe a Source #
Applicative Solo Source #	Since: base-4.15
Instance details Defined in GHC.Internal.Base Methods pure :: a -> Solo a Source # (<>) :: Solo (a -> b) -> Solo a -> Solo b Source # liftA2 :: (a -> b -> c) -> Solo a -> Solo b -> Solo c Source # (>) :: Solo a -> Solo b -> Solo b Source # (<*) :: Solo a -> Solo b -> Solo a Source #
Applicative [] Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Base Methods pure :: a -> [a] Source # (<>) :: [a -> b] -> [a] -> [b] Source # liftA2 :: (a -> b -> c) -> [a] -> [b] -> [c] Source # (>) :: [a] -> [b] -> [b] Source # (<*) :: [a] -> [b] -> [a] Source #
Monad m => Applicative (WrappedMonad m) Source #	Since: base-2.1
Instance details Defined in Control.Applicative Methods pure :: a -> WrappedMonad m a Source # (<>) :: WrappedMonad m (a -> b) -> WrappedMonad m a -> WrappedMonad m b Source # liftA2 :: (a -> b -> c) -> WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m c Source # (>) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m b Source # (<*) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m a Source #
Arrow a => Applicative (ArrowMonad a) Source #	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 #
Applicative (ST s) Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Control.Monad.ST.Lazy.Imp Methods pure :: a -> ST s a Source # (<>) :: ST s (a -> b) -> ST s a -> ST s b Source # liftA2 :: (a -> b -> c) -> ST s a -> ST s b -> ST s c Source # (>) :: ST s a -> ST s b -> ST s b Source # (<*) :: ST s a -> ST s b -> ST s a Source #
Applicative (Either e) Source #	Since: base-3.0
Instance details Defined in GHC.Internal.Data.Either Methods pure :: a -> Either e a Source # (<>) :: Either e (a -> b) -> Either e a -> Either e b Source # liftA2 :: (a -> b -> c) -> Either e a -> Either e b -> Either e c Source # (>) :: Either e a -> Either e b -> Either e b Source # (<*) :: Either e a -> Either e b -> Either e a Source #
Applicative (StateL s) Source #	Since: base-4.0
Instance details Defined in GHC.Internal.Data.Functor.Utils Methods pure :: a -> StateL s a Source # (<>) :: StateL s (a -> b) -> StateL s a -> StateL s b Source # liftA2 :: (a -> b -> c) -> StateL s a -> StateL s b -> StateL s c Source # (>) :: StateL s a -> StateL s b -> StateL s b Source # (<*) :: StateL s a -> StateL s b -> StateL s a Source #
Applicative (StateR s) Source #	Since: base-4.0
Instance details Defined in GHC.Internal.Data.Functor.Utils Methods pure :: a -> StateR s a Source # (<>) :: StateR s (a -> b) -> StateR s a -> StateR s b Source # liftA2 :: (a -> b -> c) -> StateR s a -> StateR s b -> StateR s c Source # (>) :: StateR s a -> StateR s b -> StateR s b Source # (<*) :: StateR s a -> StateR s b -> StateR s a Source #
Applicative (Proxy :: Type -> Type) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Proxy Methods pure :: a -> Proxy a Source # (<>) :: Proxy (a -> b) -> Proxy a -> Proxy b Source # liftA2 :: (a -> b -> c) -> Proxy a -> Proxy b -> Proxy c Source # (>) :: Proxy a -> Proxy b -> Proxy b Source # (<*) :: Proxy a -> Proxy b -> Proxy a Source #
Applicative (U1 :: Type -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods pure :: a -> U1 a Source # (<>) :: U1 (a -> b) -> U1 a -> U1 b Source # liftA2 :: (a -> b -> c) -> U1 a -> U1 b -> U1 c Source # (>) :: U1 a -> U1 b -> U1 b Source # (<*) :: U1 a -> U1 b -> U1 a Source #
Applicative (ST s) Source #	Since: base-4.4.0.0
Instance details Defined in GHC.Internal.ST Methods pure :: a -> ST s a Source # (<>) :: ST s (a -> b) -> ST s a -> ST s b Source # liftA2 :: (a -> b -> c) -> ST s a -> ST s b -> ST s c Source # (>) :: ST s a -> ST s b -> ST s b Source # (<*) :: ST s a -> ST s b -> ST s a Source #
Monoid a => Applicative ((,) a) Source #	For tuples, the `Monoid` constraint on `a` determines how the first values merge. For example, `String`s concatenate: ("hello ", (+15)) <> ("world!", 2002) ("hello world!",2017) Since: base-2.1*
Instance details Defined in GHC.Internal.Base Methods pure :: a0 -> (a, a0) Source # (<>) :: (a, a0 -> b) -> (a, a0) -> (a, b) Source # liftA2 :: (a0 -> b -> c) -> (a, a0) -> (a, b) -> (a, c) Source # (>) :: (a, a0) -> (a, b) -> (a, b) Source # (<*) :: (a, a0) -> (a, b) -> (a, a0) Source #
Arrow a => Applicative (WrappedArrow a b) Source #	Since: base-2.1
Instance details Defined in Control.Applicative Methods pure :: a0 -> WrappedArrow a b a0 Source # (<>) :: WrappedArrow a b (a0 -> b0) -> WrappedArrow a b a0 -> WrappedArrow a b b0 Source # liftA2 :: (a0 -> b0 -> c) -> WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b c Source # (>) :: WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b b0 Source # (<*) :: WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b a0 Source #
Applicative m => Applicative (Kleisli m a) Source #	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 #
Monoid m => Applicative (Const m :: Type -> Type) Source #	Since: base-2.0.1
Instance details Defined in GHC.Internal.Data.Functor.Const Methods pure :: a -> Const m a Source # (<>) :: Const m (a -> b) -> Const m a -> Const m b Source # liftA2 :: (a -> b -> c) -> Const m a -> Const m b -> Const m c Source # (>) :: Const m a -> Const m b -> Const m b Source # (<*) :: Const m a -> Const m b -> Const m a Source #
Monad m => Applicative (StateT s m) Source #	Since: base-4.18.0.0
Instance details Defined in GHC.Internal.Data.Functor.Utils Methods pure :: a -> StateT s m a Source # (<>) :: StateT s m (a -> b) -> StateT s m a -> StateT s m b Source # liftA2 :: (a -> b -> c) -> StateT s m a -> StateT s m b -> StateT s m c Source # (>) :: StateT s m a -> StateT s m b -> StateT s m b Source # (<*) :: StateT s m a -> StateT s m b -> StateT s m a Source #
Applicative f => Applicative (Ap f) Source #	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 #
Applicative f => Applicative (Alt f) Source #	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 #
(Generic1 f, Applicative (Rep1 f)) => Applicative (Generically1 f) Source #	Since: base-4.17.0.0
Instance details Defined in GHC.Internal.Generics Methods pure :: a -> Generically1 f a Source # (<>) :: Generically1 f (a -> b) -> Generically1 f a -> Generically1 f b Source # liftA2 :: (a -> b -> c) -> Generically1 f a -> Generically1 f b -> Generically1 f c Source # (>) :: Generically1 f a -> Generically1 f b -> Generically1 f b Source # (<*) :: Generically1 f a -> Generically1 f b -> Generically1 f a Source #
Applicative f => Applicative (Rec1 f) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods pure :: a -> Rec1 f a Source # (<>) :: Rec1 f (a -> b) -> Rec1 f a -> Rec1 f b Source # liftA2 :: (a -> b -> c) -> Rec1 f a -> Rec1 f b -> Rec1 f c Source # (>) :: Rec1 f a -> Rec1 f b -> Rec1 f b Source # (<*) :: Rec1 f a -> Rec1 f b -> Rec1 f a Source #
(Monoid a, Monoid b) => Applicative ((,,) a b) Source #	Since: base-4.14.0.0
Instance details Defined in GHC.Internal.Base Methods pure :: a0 -> (a, b, a0) Source # (<>) :: (a, b, a0 -> b0) -> (a, b, a0) -> (a, b, b0) Source # liftA2 :: (a0 -> b0 -> c) -> (a, b, a0) -> (a, b, b0) -> (a, b, c) Source # (>) :: (a, b, a0) -> (a, b, b0) -> (a, b, b0) Source # (<*) :: (a, b, a0) -> (a, b, b0) -> (a, b, a0) Source #
(Applicative f, Applicative g) => Applicative (Product f g) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Product Methods pure :: a -> Product f g a Source # (<>) :: Product f g (a -> b) -> Product f g a -> Product f g b Source # liftA2 :: (a -> b -> c) -> Product f g a -> Product f g b -> Product f g c Source # (>) :: Product f g a -> Product f g b -> Product f g b Source # (<*) :: Product f g a -> Product f g b -> Product f g a Source #
(Applicative f, Applicative g) => Applicative (f :*: g) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods pure :: a -> (f :: g) a Source # (<>) :: (f :: g) (a -> b) -> (f :: g) a -> (f :: g) b Source # liftA2 :: (a -> b -> c) -> (f :: g) a -> (f :: g) b -> (f :: g) c Source # (>) :: (f :: g) a -> (f :: g) b -> (f :: g) b Source # (<) :: (f :: g) a -> (f :: g) b -> (f :: g) a Source #
Monoid c => Applicative (K1 i c :: Type -> Type) Source #	Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Generics Methods pure :: a -> K1 i c a Source # (<>) :: K1 i c (a -> b) -> K1 i c a -> K1 i c b Source # liftA2 :: (a -> b -> c0) -> K1 i c a -> K1 i c b -> K1 i c c0 Source # (>) :: K1 i c a -> K1 i c b -> K1 i c b Source # (<*) :: K1 i c a -> K1 i c b -> K1 i c a Source #
(Monoid a, Monoid b, Monoid c) => Applicative ((,,,) a b c) Source #	Since: base-4.14.0.0
Instance details Defined in GHC.Internal.Base Methods pure :: a0 -> (a, b, c, a0) Source # (<>) :: (a, b, c, a0 -> b0) -> (a, b, c, a0) -> (a, b, c, b0) Source # liftA2 :: (a0 -> b0 -> c0) -> (a, b, c, a0) -> (a, b, c, b0) -> (a, b, c, c0) Source # (>) :: (a, b, c, a0) -> (a, b, c, b0) -> (a, b, c, b0) Source # (<*) :: (a, b, c, a0) -> (a, b, c, b0) -> (a, b, c, a0) Source #
Applicative ((->) r) Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Base Methods pure :: a -> r -> a Source # (<>) :: (r -> (a -> b)) -> (r -> a) -> r -> b Source # liftA2 :: (a -> b -> c) -> (r -> a) -> (r -> b) -> r -> c Source # (>) :: (r -> a) -> (r -> b) -> r -> b Source # (<*) :: (r -> a) -> (r -> b) -> r -> a Source #
(Applicative f, Applicative g) => Applicative (Compose f g) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Compose Methods pure :: a -> Compose f g a Source # (<>) :: Compose f g (a -> b) -> Compose f g a -> Compose f g b Source # liftA2 :: (a -> b -> c) -> Compose f g a -> Compose f g b -> Compose f g c Source # (>) :: Compose f g a -> Compose f g b -> Compose f g b Source # (<*) :: Compose f g a -> Compose f g b -> Compose f g a Source #
(Applicative f, Applicative g) => Applicative (f :.: g) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods pure :: a -> (f :.: g) a Source # (<>) :: (f :.: g) (a -> b) -> (f :.: g) a -> (f :.: g) b Source # liftA2 :: (a -> b -> c) -> (f :.: g) a -> (f :.: g) b -> (f :.: g) c Source # (>) :: (f :.: g) a -> (f :.: g) b -> (f :.: g) b Source # (<*) :: (f :.: g) a -> (f :.: g) b -> (f :.: g) a Source #
Applicative f => Applicative (M1 i c f) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods pure :: a -> M1 i c f a Source # (<>) :: M1 i c f (a -> b) -> M1 i c f a -> M1 i c f b Source # liftA2 :: (a -> b -> c0) -> M1 i c f a -> M1 i c f b -> M1 i c f c0 Source # (>) :: M1 i c f a -> M1 i c f b -> M1 i c f b Source # (<*) :: M1 i c f a -> M1 i c f b -> M1 i c f a Source #

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

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

Instances of Monad should satisfy the following:

Left identity: return a >>= k = k a
Right identity: m >>= return = m
Associativity: m >>= (\x -> k x >>= h) = (m >>= k) >>= h

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

```
pure = return
```

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

The above laws imply:

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

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

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

Minimal complete definition

(>>=)

Methods

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

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

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

do a <- as
   bs a

An alternative name for this function is 'bind', but some people may refer to it as 'flatMap', which results from it being equivalent to

\x f -> join (fmap f x) :: Monad m => m a -> (a -> m b) -> m b

which can be seen as mapping a value with Monad m => m a -> m (m b) and then 'flattening' m (m b) to m b using join.

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

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

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

do as
   bs

or in terms of (>>=) as

as >>= const bs

return :: a -> m a Source #

Inject a value into the monadic type. This function should not be different from its default implementation as pure. The justification for the existence of this function is merely historic.

Instances

Instances details

Monad Complex Source #	Since: base-4.9.0.0
Instance details Defined in Data.Complex Methods (>>=) :: Complex a -> (a -> Complex b) -> Complex b Source # (>>) :: Complex a -> Complex b -> Complex b Source # return :: a -> Complex a Source #
Monad First Source #	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (>>=) :: First a -> (a -> First b) -> First b Source # (>>) :: First a -> First b -> First b Source # return :: a -> First a Source #
Monad Last Source #	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (>>=) :: Last a -> (a -> Last b) -> Last b Source # (>>) :: Last a -> Last b -> Last b Source # return :: a -> Last a Source #
Monad Max Source #	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (>>=) :: Max a -> (a -> Max b) -> Max b Source # (>>) :: Max a -> Max b -> Max b Source # return :: a -> Max a Source #
Monad Min Source #	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (>>=) :: Min a -> (a -> Min b) -> Min b Source # (>>) :: Min a -> Min b -> Min b Source # return :: a -> Min a Source #
Monad NonEmpty Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.NonEmpty Methods (>>=) :: NonEmpty a -> (a -> NonEmpty b) -> NonEmpty b Source # (>>) :: NonEmpty a -> NonEmpty b -> NonEmpty b Source # return :: a -> NonEmpty a Source #
Monad STM Source #	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 #
Monad Identity Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Functor.Identity Methods (>>=) :: Identity a -> (a -> Identity b) -> Identity b Source # (>>) :: Identity a -> Identity b -> Identity b Source # return :: a -> Identity a Source #
Monad First Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Monoid Methods (>>=) :: First a -> (a -> First b) -> First b Source # (>>) :: First a -> First b -> First b Source # return :: a -> First a Source #
Monad Last Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Monoid Methods (>>=) :: Last a -> (a -> Last b) -> Last b Source # (>>) :: Last a -> Last b -> Last b Source # return :: a -> Last a Source #
Monad Down Source #	Since: base-4.11.0.0
Instance details Defined in GHC.Internal.Data.Ord Methods (>>=) :: Down a -> (a -> Down b) -> Down b Source # (>>) :: Down a -> Down b -> Down b Source # return :: a -> Down a Source #
Monad Dual Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods (>>=) :: Dual a -> (a -> Dual b) -> Dual b Source # (>>) :: Dual a -> Dual b -> Dual b Source # return :: a -> Dual a Source #
Monad Product Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods (>>=) :: Product a -> (a -> Product b) -> Product b Source # (>>) :: Product a -> Product b -> Product b Source # return :: a -> Product a Source #
Monad Sum Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal Methods (>>=) :: Sum a -> (a -> Sum b) -> Sum b Source # (>>) :: Sum a -> Sum b -> Sum b Source # return :: a -> Sum a Source #
Monad NoIO Source #	Since: base-4.4.0.0
Instance details Defined in GHC.Internal.GHCi Methods (>>=) :: NoIO a -> (a -> NoIO b) -> NoIO b Source # (>>) :: NoIO a -> NoIO b -> NoIO b Source # return :: a -> NoIO a Source #
Monad Par1 Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (>>=) :: Par1 a -> (a -> Par1 b) -> Par1 b Source # (>>) :: Par1 a -> Par1 b -> Par1 b Source # return :: a -> Par1 a Source #
Monad Q Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods (>>=) :: Q a -> (a -> Q b) -> Q b Source # (>>) :: Q a -> Q b -> Q b Source # return :: a -> Q a Source #
Monad P Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Text.ParserCombinators.ReadP Methods (>>=) :: P a -> (a -> P b) -> P b Source # (>>) :: P a -> P b -> P b Source # return :: a -> P a Source #
Monad ReadP Source #	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 #
Monad ReadPrec Source #	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 #
Monad IO Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Base Methods (>>=) :: IO a -> (a -> IO b) -> IO b Source # (>>) :: IO a -> IO b -> IO b Source # return :: a -> IO a Source #
Monad Maybe Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Base Methods (>>=) :: Maybe a -> (a -> Maybe b) -> Maybe b Source # (>>) :: Maybe a -> Maybe b -> Maybe b Source # return :: a -> Maybe a Source #
Monad Solo Source #	Since: base-4.15
Instance details Defined in GHC.Internal.Base Methods (>>=) :: Solo a -> (a -> Solo b) -> Solo b Source # (>>) :: Solo a -> Solo b -> Solo b Source # return :: a -> Solo a Source #
Monad [] Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Base Methods (>>=) :: [a] -> (a -> [b]) -> [b] Source # (>>) :: [a] -> [b] -> [b] Source # return :: a -> [a] Source #
Monad m => Monad (WrappedMonad m) Source #	Since: base-4.7.0.0
Instance details Defined in Control.Applicative Methods (>>=) :: WrappedMonad m a -> (a -> WrappedMonad m b) -> WrappedMonad m b Source # (>>) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m b Source # return :: a -> WrappedMonad m a Source #
ArrowApply a => Monad (ArrowMonad a) Source #	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 #
Monad (ST s) Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Control.Monad.ST.Lazy.Imp Methods (>>=) :: ST s a -> (a -> ST s b) -> ST s b Source # (>>) :: ST s a -> ST s b -> ST s b Source # return :: a -> ST s a Source #
Monad (Either e) Source #	Since: base-4.4.0.0
Instance details Defined in GHC.Internal.Data.Either Methods (>>=) :: Either e a -> (a -> Either e b) -> Either e b Source # (>>) :: Either e a -> Either e b -> Either e b Source # return :: a -> Either e a Source #
Monad (Proxy :: Type -> Type) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Proxy Methods (>>=) :: Proxy a -> (a -> Proxy b) -> Proxy b Source # (>>) :: Proxy a -> Proxy b -> Proxy b Source # return :: a -> Proxy a Source #
Monad (U1 :: Type -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (>>=) :: U1 a -> (a -> U1 b) -> U1 b Source # (>>) :: U1 a -> U1 b -> U1 b Source # return :: a -> U1 a Source #
Monad (ST s) Source #	Since: base-2.1
Instance details Defined in GHC.Internal.ST Methods (>>=) :: ST s a -> (a -> ST s b) -> ST s b Source # (>>) :: ST s a -> ST s b -> ST s b Source # return :: a -> ST s a Source #
Monoid a => Monad ((,) a) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods (>>=) :: (a, a0) -> (a0 -> (a, b)) -> (a, b) Source # (>>) :: (a, a0) -> (a, b) -> (a, b) Source # return :: a0 -> (a, a0) Source #
Monad m => Monad (Kleisli m a) Source #	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 #
Monad m => Monad (StateT s m) Source #	Since: base-4.18.0.0
Instance details Defined in GHC.Internal.Data.Functor.Utils Methods (>>=) :: StateT s m a -> (a -> StateT s m b) -> StateT s m b Source # (>>) :: StateT s m a -> StateT s m b -> StateT s m b Source # return :: a -> StateT s m a Source #
Monad f => Monad (Ap f) Source #	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 #
Monad f => Monad (Alt f) Source #	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 #
Monad f => Monad (Rec1 f) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (>>=) :: Rec1 f a -> (a -> Rec1 f b) -> Rec1 f b Source # (>>) :: Rec1 f a -> Rec1 f b -> Rec1 f b Source # return :: a -> Rec1 f a Source #
(Monoid a, Monoid b) => Monad ((,,) a b) Source #	Since: base-4.14.0.0
Instance details Defined in GHC.Internal.Base Methods (>>=) :: (a, b, a0) -> (a0 -> (a, b, b0)) -> (a, b, b0) Source # (>>) :: (a, b, a0) -> (a, b, b0) -> (a, b, b0) Source # return :: a0 -> (a, b, a0) Source #
(Monad f, Monad g) => Monad (Product f g) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Product Methods (>>=) :: Product f g a -> (a -> Product f g b) -> Product f g b Source # (>>) :: Product f g a -> Product f g b -> Product f g b Source # return :: a -> Product f g a Source #
(Monad f, Monad g) => Monad (f :*: g) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (>>=) :: (f :: g) a -> (a -> (f :: g) b) -> (f :: g) b Source # (>>) :: (f :: g) a -> (f :: g) b -> (f :: g) b Source # return :: a -> (f :*: g) a Source #
(Monoid a, Monoid b, Monoid c) => Monad ((,,,) a b c) Source #	Since: base-4.14.0.0
Instance details Defined in GHC.Internal.Base Methods (>>=) :: (a, b, c, a0) -> (a0 -> (a, b, c, b0)) -> (a, b, c, b0) Source # (>>) :: (a, b, c, a0) -> (a, b, c, b0) -> (a, b, c, b0) Source # return :: a0 -> (a, b, c, a0) Source #
Monad ((->) r) Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Base Methods (>>=) :: (r -> a) -> (a -> r -> b) -> r -> b Source # (>>) :: (r -> a) -> (r -> b) -> r -> b Source # return :: a -> r -> a Source #
Monad f => Monad (M1 i c f) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (>>=) :: M1 i c f a -> (a -> M1 i c f b) -> M1 i c f b Source # (>>) :: M1 i c f a -> M1 i c f b -> M1 i c f b Source # return :: a -> M1 i c f a Source #

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

When a value is bound in do-notation, the pattern on the left hand side of <- might not match. In this case, this class provides a function to recover.

A Monad without a MonadFail instance may only be used in conjunction with pattern that always match, such as newtypes, tuples, data types with only a single data constructor, and irrefutable patterns (~pat).

Instances of MonadFail should satisfy the following law: fail s should be a left zero for >>=,

fail s >>= f  =  fail s

If your Monad is also MonadPlus, a popular definition is

fail _ = mzero

fail s should be an action that runs in the monad itself, not an exception (except in instances of MonadIO). In particular, fail should not be implemented in terms of error.

Since: base-4.9.0.0

Methods

fail :: HasCallStack => String -> m a Source #

Instances

Instances details

MonadFail Q Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods fail :: HasCallStack => String -> Q a Source #
MonadFail P Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Text.ParserCombinators.ReadP Methods fail :: HasCallStack => String -> P a Source #
MonadFail ReadP Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Text.ParserCombinators.ReadP Methods fail :: HasCallStack => String -> ReadP a Source #
MonadFail ReadPrec Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Text.ParserCombinators.ReadPrec Methods fail :: HasCallStack => String -> ReadPrec a Source #
MonadFail IO Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Control.Monad.Fail Methods fail :: HasCallStack => String -> IO a Source #
MonadFail Maybe Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Control.Monad.Fail Methods fail :: HasCallStack => String -> Maybe a Source #
MonadFail [] Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Control.Monad.Fail Methods fail :: HasCallStack => String -> [a] Source #
MonadFail f => MonadFail (Ap f) Source #	Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Monoid Methods fail :: HasCallStack => String -> Ap f a Source #

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

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

mapM_ is just like traverse_, but specialised to monadic actions.

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

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

sequence_ is just like sequenceA_, but specialised to monadic actions.

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

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

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

Folds and traversals

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

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"

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

Right-associative fold of a structure, lazy in the accumulator.

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

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

Note that since the head of the resulting expression is produced by an application of the operator to the first element of the list, given an operator lazy in its right argument, foldr can produce a terminating expression from an unbounded list.

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

foldr f z = foldr f z . toList

Examples

Expand

Basic usage:

>>> foldr (||) False [False, True, False]
True

>>> foldr (||) False []
False

>>> foldr (\c acc -> acc ++ [c]) "foo" ['a', 'b', 'c', 'd']
"foodcba"

Infinite structures

⚠️ Applying foldr to infinite structures usually doesn't terminate.

It may still terminate under one of the following conditions:

the folding function is short-circuiting
the folding function is lazy on its second argument

Short-circuiting

(||) short-circuits on True values, so the following terminates because there is a True value finitely far from the left side:

>>> foldr (||) False (True : repeat False)
True

But the following doesn't terminate:

>>> foldr (||) False (repeat False ++ [True])
* Hangs forever *

Laziness in the second argument

Applying foldr to infinite structures terminates when the operator is lazy in its second argument (the initial accumulator is never used in this case, and so could be left undefined, but [] is more clear):

>>> take 5 $ foldr (\i acc -> i : fmap (+3) acc) [] (repeat 1)
[1,4,7,10,13]

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

Left-associative fold of a structure, lazy in the accumulator. This is rarely what you want, but can work well for structures with efficient right-to-left sequencing and an operator that is lazy in its left argument.

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

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

Note that to produce the outermost application of the operator the entire input list must be traversed. Like all left-associative folds, foldl will diverge if given an infinite list.

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

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

foldl f z = foldl f z . toList

Examples

Expand

The first example is a strict fold, which in practice is best performed with foldl'.

>>> foldl (+) 42 [1,2,3,4]
52

Though the result below is lazy, the input is reversed before prepending it to the initial accumulator, so corecursion begins only after traversing the entire input string.

>>> foldl (\acc c -> c : acc) "abcd" "efgh"
"hgfeabcd"

A left fold of a structure that is infinite on the right cannot terminate, even when for any finite input the fold just returns the initial accumulator:

>>> foldl (\a _ -> a) 0 $ repeat 1
* Hangs forever *

WARNING: When it comes to lists, you always want to use either foldl' or foldr instead.

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

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

This ensures that each step of the fold is forced to Weak Head Normal Form before being applied, avoiding the collection of thunks that would otherwise occur. This is often what you want to strictly reduce a finite structure to a single strict result (e.g. sum).

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

foldl' f z = foldl' f z . toList

Since: base-4.6.0.0

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

A variant of foldr that has no base case, and thus may only be applied to non-empty structures.

This function is non-total and will raise a runtime exception if the structure happens to be empty.

Examples

Expand

Basic usage:

>>> foldr1 (+) [1..4]
10

>>> foldr1 (+) []
Exception: Prelude.foldr1: empty list

>>> foldr1 (+) Nothing
*** Exception: foldr1: empty structure

>>> foldr1 (-) [1..4]
-2

>>> foldr1 (&&) [True, False, True, True]
False

>>> foldr1 (||) [False, False, True, True]
True

>>> foldr1 (+) [1..]
* Hangs forever *

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

A variant of foldl that has no base case, and thus may only be applied to non-empty structures.

This function is non-total and will raise a runtime exception if the structure happens to be empty.

foldl1 f = foldl1 f . toList

Examples

Expand

Basic usage:

>>> foldl1 (+) [1..4]
10

>>> foldl1 (+) []
*** Exception: Prelude.foldl1: empty list

>>> foldl1 (+) Nothing
*** Exception: foldl1: empty structure

>>> foldl1 (-) [1..4]
-8

>>> foldl1 (&&) [True, False, True, True]
False

>>> foldl1 (||) [False, False, True, True]
True

>>> foldl1 (+) [1..]
* Hangs forever *

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

Does the element occur in the structure?

Note: elem is often used in infix form.

Examples

Expand

Basic usage:

>>> 3 `elem` []
False

>>> 3 `elem` [1,2]
False

>>> 3 `elem` [1,2,3,4,5]
True

For infinite structures, the default implementation of elem terminates if the sought-after value exists at a finite distance from the left side of the structure:

>>> 3 `elem` [1..]
True

>>> 3 `elem` ([4..] ++ [3])
* Hangs forever *

Since: base-4.8.0.0

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

The largest element of a non-empty structure. This function is equivalent to foldr1 max, and its behavior on structures with multiple largest elements depends on the relevant implementation of max. For the default implementation of max (max x y = if x <= y then y else x), structure order is used as a tie-breaker: if there are multiple largest elements, the rightmost of them is chosen (this is equivalent to maximumBy compare).

This function is non-total and will raise a runtime exception if the structure happens to be empty. A structure that supports random access and maintains its elements in order should provide a specialised implementation to return the maximum in faster than linear time.

Examples

Expand

Basic usage:

>>> maximum [1..10]
10

>>> maximum []
*** Exception: Prelude.maximum: empty list

>>> maximum Nothing
*** Exception: maximum: empty structure

WARNING: This function is partial for possibly-empty structures like lists.

Since: base-4.8.0.0

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

The least element of a non-empty structure. This function is equivalent to foldr1 min, and its behavior on structures with multiple largest elements depends on the relevant implementation of min. For the default implementation of min (min x y = if x <= y then x else y), structure order is used as a tie-breaker: if there are multiple least elements, the leftmost of them is chosen (this is equivalent to minimumBy compare).

This function is non-total and will raise a runtime exception if the structure happens to be empty. A structure that supports random access and maintains its elements in order should provide a specialised implementation to return the minimum in faster than linear time.

Examples

Expand

Basic usage:

>>> minimum [1..10]
1

>>> minimum []
*** Exception: Prelude.minimum: empty list

>>> minimum Nothing
*** Exception: minimum: empty structure

WARNING: This function is partial for possibly-empty structures like lists.

Since: base-4.8.0.0

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

The sum function computes the sum of the numbers of a structure.

Examples

Expand

Basic usage:

>>> sum []
0

>>> sum [42]
42

>>> sum [1..10]
55

>>> sum [4.1, 2.0, 1.7]
7.8

>>> sum [1..]
* Hangs forever *

Since: base-4.8.0.0

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

The product function computes the product of the numbers of a structure.

Examples

Expand

Basic usage:

>>> product []
1

>>> product [42]
42

>>> product [1..10]
3628800

>>> product [4.1, 2.0, 1.7]
13.939999999999998

>>> product [1..]
* Hangs forever *

Since: base-4.8.0.0

Instances

Instances details

Foldable Complex Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 GenClosure Source #
Instance details Defined in GHC.Internal.Heap.Closures Methods fold :: Monoid m => GenClosure m -> m Source # foldMap :: Monoid m => (a -> m) -> GenClosure a -> m Source # foldMap' :: Monoid m => (a -> m) -> GenClosure a -> m Source # foldr :: (a -> b -> b) -> b -> GenClosure a -> b Source # foldr' :: (a -> b -> b) -> b -> GenClosure a -> b Source # foldl :: (b -> a -> b) -> b -> GenClosure a -> b Source # foldl' :: (b -> a -> b) -> b -> GenClosure a -> b Source # foldr1 :: (a -> a -> a) -> GenClosure a -> a Source # foldl1 :: (a -> a -> a) -> GenClosure a -> a Source # toList :: GenClosure a -> [a] Source # null :: GenClosure a -> Bool Source # length :: GenClosure a -> Int Source # elem :: Eq a => a -> GenClosure a -> Bool Source # maximum :: Ord a => GenClosure a -> a Source # minimum :: Ord a => GenClosure a -> a Source # sum :: Num a => GenClosure a -> a Source # product :: Num a => GenClosure a -> a Source #
Foldable GenStackField Source #
Instance details Defined in GHC.Internal.Heap.Closures Methods fold :: Monoid m => GenStackField m -> m Source # foldMap :: Monoid m => (a -> m) -> GenStackField a -> m Source # foldMap' :: Monoid m => (a -> m) -> GenStackField a -> m Source # foldr :: (a -> b -> b) -> b -> GenStackField a -> b Source # foldr' :: (a -> b -> b) -> b -> GenStackField a -> b Source # foldl :: (b -> a -> b) -> b -> GenStackField a -> b Source # foldl' :: (b -> a -> b) -> b -> GenStackField a -> b Source # foldr1 :: (a -> a -> a) -> GenStackField a -> a Source # foldl1 :: (a -> a -> a) -> GenStackField a -> a Source # toList :: GenStackField a -> [a] Source # null :: GenStackField a -> Bool Source # length :: GenStackField a -> Int Source # elem :: Eq a => a -> GenStackField a -> Bool Source # maximum :: Ord a => GenStackField a -> a Source # minimum :: Ord a => GenStackField a -> a Source # sum :: Num a => GenStackField a -> a Source # product :: Num a => GenStackField a -> a Source #
Foldable GenStackFrame Source #
Instance details Defined in GHC.Internal.Heap.Closures Methods fold :: Monoid m => GenStackFrame m -> m Source # foldMap :: Monoid m => (a -> m) -> GenStackFrame a -> m Source # foldMap' :: Monoid m => (a -> m) -> GenStackFrame a -> m Source # foldr :: (a -> b -> b) -> b -> GenStackFrame a -> b Source # foldr' :: (a -> b -> b) -> b -> GenStackFrame a -> b Source # foldl :: (b -> a -> b) -> b -> GenStackFrame a -> b Source # foldl' :: (b -> a -> b) -> b -> GenStackFrame a -> b Source # foldr1 :: (a -> a -> a) -> GenStackFrame a -> a Source # foldl1 :: (a -> a -> a) -> GenStackFrame a -> a Source # toList :: GenStackFrame a -> [a] Source # null :: GenStackFrame a -> Bool Source # length :: GenStackFrame a -> Int Source # elem :: Eq a => a -> GenStackFrame a -> Bool Source # maximum :: Ord a => GenStackFrame a -> a Source # minimum :: Ord a => GenStackFrame a -> a Source # sum :: Num a => GenStackFrame a -> a Source # product :: Num a => GenStackFrame a -> a Source #
Foldable GenStgStackClosure Source #
Instance details Defined in GHC.Internal.Heap.Closures Methods fold :: Monoid m => GenStgStackClosure m -> m Source # foldMap :: Monoid m => (a -> m) -> GenStgStackClosure a -> m Source # foldMap' :: Monoid m => (a -> m) -> GenStgStackClosure a -> m Source # foldr :: (a -> b -> b) -> b -> GenStgStackClosure a -> b Source # foldr' :: (a -> b -> b) -> b -> GenStgStackClosure a -> b Source # foldl :: (b -> a -> b) -> b -> GenStgStackClosure a -> b Source # foldl' :: (b -> a -> b) -> b -> GenStgStackClosure a -> b Source # foldr1 :: (a -> a -> a) -> GenStgStackClosure a -> a Source # foldl1 :: (a -> a -> a) -> GenStgStackClosure a -> a Source # toList :: GenStgStackClosure a -> [a] Source # null :: GenStgStackClosure a -> Bool Source # length :: GenStgStackClosure a -> Int Source # elem :: Eq a => a -> GenStgStackClosure a -> Bool Source # maximum :: Ord a => GenStgStackClosure a -> a Source # minimum :: Ord a => GenStgStackClosure a -> a Source # sum :: Num a => GenStgStackClosure a -> a Source # product :: Num a => GenStgStackClosure a -> a Source #
Foldable TyVarBndr Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods fold :: Monoid m => TyVarBndr m -> m Source # foldMap :: Monoid m => (a -> m) -> TyVarBndr a -> m Source # foldMap' :: Monoid m => (a -> m) -> TyVarBndr a -> m Source # foldr :: (a -> b -> b) -> b -> TyVarBndr a -> b Source # foldr' :: (a -> b -> b) -> b -> TyVarBndr a -> b Source # foldl :: (b -> a -> b) -> b -> TyVarBndr a -> b Source # foldl' :: (b -> a -> b) -> b -> TyVarBndr a -> b Source # foldr1 :: (a -> a -> a) -> TyVarBndr a -> a Source # foldl1 :: (a -> a -> a) -> TyVarBndr a -> a Source # toList :: TyVarBndr a -> [a] Source # null :: TyVarBndr a -> Bool Source # length :: TyVarBndr a -> Int Source # elem :: Eq a => a -> TyVarBndr a -> Bool Source # maximum :: Ord a => TyVarBndr a -> a Source # minimum :: Ord a => TyVarBndr a -> a Source # sum :: Num a => TyVarBndr a -> a Source # product :: Num a => TyVarBndr a -> a Source #
Foldable Maybe Source #	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 Source #	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 [] Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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 #

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

Functors representing data structures that can be transformed to structures of the same shape by performing an Applicative (or, therefore, Monad) action on each element from left to right.

A more detailed description of what same shape means, the various methods, how traversals are constructed, and example advanced use-cases can be found in the Overview section of Data.Traversable.

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

Minimal complete definition

traverse | sequenceA

Methods

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

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

Examples

Expand

Basic usage:

In the first two examples we show each evaluated action mapping to the output structure.

>>> traverse Just [1,2,3,4]
Just [1,2,3,4]

>>> traverse id [Right 1, Right 2, Right 3, Right 4]
Right [1,2,3,4]

In the next examples, we show that Nothing and Left values short circuit the created structure.

>>> traverse (const Nothing) [1,2,3,4]
Nothing

>>> traverse (\x -> if odd x then Just x else Nothing)  [1,2,3,4]
Nothing

>>> traverse id [Right 1, Right 2, Right 3, Right 4, Left 0]
Left 0

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

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

Examples

Expand

Basic usage:

For the first two examples we show sequenceA fully evaluating a a structure and collecting the results.

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

>>> sequenceA [Right 1, Right 2, Right 3]
Right [1,2,3]

The next two example show Nothing and Just will short circuit the resulting structure if present in the input. For more context, check the Traversable instances for Either and Maybe.

>>> sequenceA [Just 1, Just 2, Just 3, Nothing]
Nothing

>>> sequenceA [Right 1, Right 2, Right 3, Left 4]
Left 4

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

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

Examples

Expand

mapM is literally a traverse with a type signature restricted to Monad. Its implementation may be more efficient due to additional power of Monad.

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

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

Examples

Expand

Basic usage:

The first two examples are instances where the input and and output of sequence are isomorphic.

>>> sequence $ Right [1,2,3,4]
[Right 1,Right 2,Right 3,Right 4]

>>> sequence $ [Right 1,Right 2,Right 3,Right 4]
Right [1,2,3,4]

The following examples demonstrate short circuit behavior for sequence.

>>> sequence $ Left [1,2,3,4]
Left [1,2,3,4]

>>> sequence $ [Left 0, Right 1,Right 2,Right 3,Right 4]
Left 0

Instances

Instances details

Traversable Complex Source #	Since: base-4.9.0.0
Instance details Defined in Data.Complex Methods traverse :: Applicative f => (a -> f b) -> Complex a -> f (Complex b) Source # sequenceA :: Applicative f => Complex (f a) -> f (Complex a) Source # mapM :: Monad m => (a -> m b) -> Complex a -> m (Complex b) Source # sequence :: Monad m => Complex (m a) -> m (Complex a) Source #
Traversable First Source #	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods traverse :: Applicative f => (a -> f b) -> First a -> f (First b) Source # sequenceA :: Applicative f => First (f a) -> f (First a) Source # mapM :: Monad m => (a -> m b) -> First a -> m (First b) Source # sequence :: Monad m => First (m a) -> m (First a) Source #
Traversable Last Source #	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods traverse :: Applicative f => (a -> f b) -> Last a -> f (Last b) Source # sequenceA :: Applicative f => Last (f a) -> f (Last a) Source # mapM :: Monad m => (a -> m b) -> Last a -> m (Last b) Source # sequence :: Monad m => Last (m a) -> m (Last a) Source #
Traversable Max Source #	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods traverse :: Applicative f => (a -> f b) -> Max a -> f (Max b) Source # sequenceA :: Applicative f => Max (f a) -> f (Max a) Source # mapM :: Monad m => (a -> m b) -> Max a -> m (Max b) Source # sequence :: Monad m => Max (m a) -> m (Max a) Source #
Traversable Min Source #	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods traverse :: Applicative f => (a -> f b) -> Min a -> f (Min b) Source # sequenceA :: Applicative f => Min (f a) -> f (Min a) Source # mapM :: Monad m => (a -> m b) -> Min a -> m (Min b) Source # sequence :: Monad m => Min (m a) -> m (Min a) Source #
Traversable NonEmpty Source #	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 #
Traversable Identity Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Identity a -> f (Identity b) Source # sequenceA :: Applicative f => Identity (f a) -> f (Identity a) Source # mapM :: Monad m => (a -> m b) -> Identity a -> m (Identity b) Source # sequence :: Monad m => Identity (m a) -> m (Identity a) Source #
Traversable First Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> First a -> f (First b) Source # sequenceA :: Applicative f => First (f a) -> f (First a) Source # mapM :: Monad m => (a -> m b) -> First a -> m (First b) Source # sequence :: Monad m => First (m a) -> m (First a) Source #
Traversable Last Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Last a -> f (Last b) Source # sequenceA :: Applicative f => Last (f a) -> f (Last a) Source # mapM :: Monad m => (a -> m b) -> Last a -> m (Last b) Source # sequence :: Monad m => Last (m a) -> m (Last a) Source #
Traversable Down Source #	Since: base-4.12.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Down a -> f (Down b) Source # sequenceA :: Applicative f => Down (f a) -> f (Down a) Source # mapM :: Monad m => (a -> m b) -> Down a -> m (Down b) Source # sequence :: Monad m => Down (m a) -> m (Down a) Source #
Traversable Dual Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Dual a -> f (Dual b) Source # sequenceA :: Applicative f => Dual (f a) -> f (Dual a) Source # mapM :: Monad m => (a -> m b) -> Dual a -> m (Dual b) Source # sequence :: Monad m => Dual (m a) -> m (Dual a) Source #
Traversable Product Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Product a -> f (Product b) Source # sequenceA :: Applicative f => Product (f a) -> f (Product a) Source # mapM :: Monad m => (a -> m b) -> Product a -> m (Product b) Source # sequence :: Monad m => Product (m a) -> m (Product a) Source #
Traversable Sum Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Sum a -> f (Sum b) Source # sequenceA :: Applicative f => Sum (f a) -> f (Sum a) Source # mapM :: Monad m => (a -> m b) -> Sum a -> m (Sum b) Source # sequence :: Monad m => Sum (m a) -> m (Sum a) Source #
Traversable ZipList Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Functor.ZipList Methods traverse :: Applicative f => (a -> f b) -> ZipList a -> f (ZipList b) Source # sequenceA :: Applicative f => ZipList (f a) -> f (ZipList a) Source # mapM :: Monad m => (a -> m b) -> ZipList a -> m (ZipList b) Source # sequence :: Monad m => ZipList (m a) -> m (ZipList a) Source #
Traversable Par1 Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Par1 a -> f (Par1 b) Source # sequenceA :: Applicative f => Par1 (f a) -> f (Par1 a) Source # mapM :: Monad m => (a -> m b) -> Par1 a -> m (Par1 b) Source # sequence :: Monad m => Par1 (m a) -> m (Par1 a) Source #
Traversable GenClosure Source #
Instance details Defined in GHC.Internal.Heap.Closures Methods traverse :: Applicative f => (a -> f b) -> GenClosure a -> f (GenClosure b) Source # sequenceA :: Applicative f => GenClosure (f a) -> f (GenClosure a) Source # mapM :: Monad m => (a -> m b) -> GenClosure a -> m (GenClosure b) Source # sequence :: Monad m => GenClosure (m a) -> m (GenClosure a) Source #
Traversable GenStackField Source #
Instance details Defined in GHC.Internal.Heap.Closures Methods traverse :: Applicative f => (a -> f b) -> GenStackField a -> f (GenStackField b) Source # sequenceA :: Applicative f => GenStackField (f a) -> f (GenStackField a) Source # mapM :: Monad m => (a -> m b) -> GenStackField a -> m (GenStackField b) Source # sequence :: Monad m => GenStackField (m a) -> m (GenStackField a) Source #
Traversable GenStackFrame Source #
Instance details Defined in GHC.Internal.Heap.Closures Methods traverse :: Applicative f => (a -> f b) -> GenStackFrame a -> f (GenStackFrame b) Source # sequenceA :: Applicative f => GenStackFrame (f a) -> f (GenStackFrame a) Source # mapM :: Monad m => (a -> m b) -> GenStackFrame a -> m (GenStackFrame b) Source # sequence :: Monad m => GenStackFrame (m a) -> m (GenStackFrame a) Source #
Traversable GenStgStackClosure Source #
Instance details Defined in GHC.Internal.Heap.Closures Methods traverse :: Applicative f => (a -> f b) -> GenStgStackClosure a -> f (GenStgStackClosure b) Source # sequenceA :: Applicative f => GenStgStackClosure (f a) -> f (GenStgStackClosure a) Source # mapM :: Monad m => (a -> m b) -> GenStgStackClosure a -> m (GenStgStackClosure b) Source # sequence :: Monad m => GenStgStackClosure (m a) -> m (GenStgStackClosure a) Source #
Traversable TyVarBndr Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods traverse :: Applicative f => (a -> f b) -> TyVarBndr a -> f (TyVarBndr b) Source # sequenceA :: Applicative f => TyVarBndr (f a) -> f (TyVarBndr a) Source # mapM :: Monad m => (a -> m b) -> TyVarBndr a -> m (TyVarBndr b) Source # sequence :: Monad m => TyVarBndr (m a) -> m (TyVarBndr a) Source #
Traversable Maybe Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Maybe a -> f (Maybe b) Source # sequenceA :: Applicative f => Maybe (f a) -> f (Maybe a) Source # mapM :: Monad m => (a -> m b) -> Maybe a -> m (Maybe b) Source # sequence :: Monad m => Maybe (m a) -> m (Maybe a) Source #
Traversable Solo Source #	Since: base-4.15
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Solo a -> f (Solo b) Source # sequenceA :: Applicative f => Solo (f a) -> f (Solo a) Source # mapM :: Monad m => (a -> m b) -> Solo a -> m (Solo b) Source # sequence :: Monad m => Solo (m a) -> m (Solo a) Source #
Traversable [] Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> [a] -> f [b] Source # sequenceA :: Applicative f => [f a] -> f [a] Source # mapM :: Monad m => (a -> m b) -> [a] -> m [b] Source # sequence :: Monad m => [m a] -> m [a] Source #
Traversable (Arg a) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods traverse :: Applicative f => (a0 -> f b) -> Arg a a0 -> f (Arg a b) Source # sequenceA :: Applicative f => Arg a (f a0) -> f (Arg a a0) Source # mapM :: Monad m => (a0 -> m b) -> Arg a a0 -> m (Arg a b) Source # sequence :: Monad m => Arg a (m a0) -> m (Arg a a0) Source #
Ix i => Traversable (Array i) Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Array i a -> f (Array i b) Source # sequenceA :: Applicative f => Array i (f a) -> f (Array i a) Source # mapM :: Monad m => (a -> m b) -> Array i a -> m (Array i b) Source # sequence :: Monad m => Array i (m a) -> m (Array i a) Source #
Traversable (Either a) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a0 -> f b) -> Either a a0 -> f (Either a b) Source # sequenceA :: Applicative f => Either a (f a0) -> f (Either a a0) Source # mapM :: Monad m => (a0 -> m b) -> Either a a0 -> m (Either a b) Source # sequence :: Monad m => Either a (m a0) -> m (Either a a0) Source #
Traversable (Proxy :: Type -> Type) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Proxy a -> f (Proxy b) Source # sequenceA :: Applicative f => Proxy (f a) -> f (Proxy a) Source # mapM :: Monad m => (a -> m b) -> Proxy a -> m (Proxy b) Source # sequence :: Monad m => Proxy (m a) -> m (Proxy a) Source #
Traversable (U1 :: Type -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> U1 a -> f (U1 b) Source # sequenceA :: Applicative f => U1 (f a) -> f (U1 a) Source # mapM :: Monad m => (a -> m b) -> U1 a -> m (U1 b) Source # sequence :: Monad m => U1 (m a) -> m (U1 a) Source #
Traversable (UAddr :: Type -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> UAddr a -> f (UAddr b) Source # sequenceA :: Applicative f => UAddr (f a) -> f (UAddr a) Source # mapM :: Monad m => (a -> m b) -> UAddr a -> m (UAddr b) Source # sequence :: Monad m => UAddr (m a) -> m (UAddr a) Source #
Traversable (UChar :: Type -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> UChar a -> f (UChar b) Source # sequenceA :: Applicative f => UChar (f a) -> f (UChar a) Source # mapM :: Monad m => (a -> m b) -> UChar a -> m (UChar b) Source # sequence :: Monad m => UChar (m a) -> m (UChar a) Source #
Traversable (UDouble :: Type -> Type) Source #	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 #
Traversable (UFloat :: Type -> Type) Source #	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 #
Traversable (UInt :: Type -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> UInt a -> f (UInt b) Source # sequenceA :: Applicative f => UInt (f a) -> f (UInt a) Source # mapM :: Monad m => (a -> m b) -> UInt a -> m (UInt b) Source # sequence :: Monad m => UInt (m a) -> m (UInt a) Source #
Traversable (UWord :: Type -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> UWord a -> f (UWord b) Source # sequenceA :: Applicative f => UWord (f a) -> f (UWord a) Source # mapM :: Monad m => (a -> m b) -> UWord a -> m (UWord b) Source # sequence :: Monad m => UWord (m a) -> m (UWord a) Source #
Traversable (V1 :: Type -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> V1 a -> f (V1 b) Source # sequenceA :: Applicative f => V1 (f a) -> f (V1 a) Source # mapM :: Monad m => (a -> m b) -> V1 a -> m (V1 b) Source # sequence :: Monad m => V1 (m a) -> m (V1 a) Source #
Traversable ((,) a) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a0 -> f b) -> (a, a0) -> f (a, b) Source # sequenceA :: Applicative f => (a, f a0) -> f (a, a0) Source # mapM :: Monad m => (a0 -> m b) -> (a, a0) -> m (a, b) Source # sequence :: Monad m => (a, m a0) -> m (a, a0) Source #
Traversable (Const m :: Type -> Type) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Const m a -> f (Const m b) Source # sequenceA :: Applicative f => Const m (f a) -> f (Const m a) Source # mapM :: Monad m0 => (a -> m0 b) -> Const m a -> m0 (Const m b) Source # sequence :: Monad m0 => Const m (m0 a) -> m0 (Const m a) Source #
Traversable f => Traversable (Ap f) Source #	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 #
Traversable f => Traversable (Alt f) Source #	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 #
Traversable f => Traversable (Rec1 f) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> Rec1 f a -> f0 (Rec1 f b) Source # sequenceA :: Applicative f0 => Rec1 f (f0 a) -> f0 (Rec1 f a) Source # mapM :: Monad m => (a -> m b) -> Rec1 f a -> m (Rec1 f b) Source # sequence :: Monad m => Rec1 f (m a) -> m (Rec1 f a) Source #
(Traversable f, Traversable g) => Traversable (Product f g) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Product Methods traverse :: Applicative f0 => (a -> f0 b) -> Product f g a -> f0 (Product f g b) Source # sequenceA :: Applicative f0 => Product f g (f0 a) -> f0 (Product f g a) Source # mapM :: Monad m => (a -> m b) -> Product f g a -> m (Product f g b) Source # sequence :: Monad m => Product f g (m a) -> m (Product f g a) Source #
(Traversable f, Traversable g) => Traversable (Sum f g) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Sum Methods traverse :: Applicative f0 => (a -> f0 b) -> Sum f g a -> f0 (Sum f g b) Source # sequenceA :: Applicative f0 => Sum f g (f0 a) -> f0 (Sum f g a) Source # mapM :: Monad m => (a -> m b) -> Sum f g a -> m (Sum f g b) Source # sequence :: Monad m => Sum f g (m a) -> m (Sum f g a) Source #
(Traversable f, Traversable g) => Traversable (f :*: g) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> (f :: g) a -> f0 ((f :: g) b) Source # sequenceA :: Applicative f0 => (f :: g) (f0 a) -> f0 ((f :: g) a) Source # mapM :: Monad m => (a -> m b) -> (f :: g) a -> m ((f :: g) b) Source # sequence :: Monad m => (f :: g) (m a) -> m ((f :: g) a) Source #
(Traversable f, Traversable g) => Traversable (f :+: g) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> (f :+: g) a -> f0 ((f :+: g) b) Source # sequenceA :: Applicative f0 => (f :+: g) (f0 a) -> f0 ((f :+: g) a) Source # mapM :: Monad m => (a -> m b) -> (f :+: g) a -> m ((f :+: g) b) Source # sequence :: Monad m => (f :+: g) (m a) -> m ((f :+: g) a) Source #
Traversable (K1 i c :: Type -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> K1 i c a -> f (K1 i c b) Source # sequenceA :: Applicative f => K1 i c (f a) -> f (K1 i c a) Source # mapM :: Monad m => (a -> m b) -> K1 i c a -> m (K1 i c b) Source # sequence :: Monad m => K1 i c (m a) -> m (K1 i c a) Source #
(Traversable f, Traversable g) => Traversable (Compose f g) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Compose Methods traverse :: Applicative f0 => (a -> f0 b) -> Compose f g a -> f0 (Compose f g b) Source # sequenceA :: Applicative f0 => Compose f g (f0 a) -> f0 (Compose f g a) Source # mapM :: Monad m => (a -> m b) -> Compose f g a -> m (Compose f g b) Source # sequence :: Monad m => Compose f g (m a) -> m (Compose f g a) Source #
(Traversable f, Traversable g) => Traversable (f :.: g) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> (f :.: g) a -> f0 ((f :.: g) b) Source # sequenceA :: Applicative f0 => (f :.: g) (f0 a) -> f0 ((f :.: g) a) Source # mapM :: Monad m => (a -> m b) -> (f :.: g) a -> m ((f :.: g) b) Source # sequence :: Monad m => (f :.: g) (m a) -> m ((f :.: g) a) Source #
Traversable f => Traversable (M1 i c f) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> M1 i c f a -> f0 (M1 i c f b) Source # sequenceA :: Applicative f0 => M1 i c f (f0 a) -> f0 (M1 i c f a) Source # mapM :: Monad m => (a -> m b) -> M1 i c f a -> m (M1 i c f b) Source # sequence :: Monad m => M1 i c f (m a) -> m (M1 i c f a) Source #

Miscellaneous functions

id :: a -> a Source #

Identity function.

id x = x

This function might seem useless at first glance, but it can be very useful in a higher order context.

Examples

Expand

>>> length $ filter id [True, True, False, True]
3

>>> Just (Just 3) >>= id
Just 3

>>> foldr id 0 [(^3), (*5), (+2)]
1000

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]

(.) :: (b -> c) -> (a -> b) -> a -> c infixr 9 Source #

Right to left function composition.

(f . g) x = f (g x)

f . id = f = id . f

Examples

Expand

>>> map ((*2) . length) [[], [0, 1, 2], [0]]
[0,6,2]

>>> foldr (.) id [(+1), (*3), (^3)] 2
25

>>> let (...) = (.).(.) in ((*2)...(+)) 5 10
30

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 #

($) 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

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.

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.

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.

($!) :: (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.

List operations

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

$\mathcal{O}(n)$. map f xs is the list obtained by applying f to each element of xs, i.e.,

map f [x1, x2, ..., xn] == [f x1, f x2, ..., f xn]
map f [x1, x2, ...] == [f x1, f x2, ...]

this means that map id == id

Examples

Expand

>>> map (+1) [1, 2, 3]
[2,3,4]

>>> map id [1, 2, 3]
[1,2,3]

>>> map (\n -> 3 * n + 1) [1, 2, 3]
[4,7,10]

(++) :: [a] -> [a] -> [a] infixr 5 Source #

(++) appends two lists, i.e.,

[x1, ..., xm] ++ [y1, ..., yn] == [x1, ..., xm, y1, ..., yn]
[x1, ..., xm] ++ [y1, ...] == [x1, ..., xm, y1, ...]

If the first list is not finite, the result is the first list.

Performance considerations

Expand

This function takes linear time in the number of elements of the first list. Thus it is better to associate repeated applications of (++) to the right (which is the default behaviour): xs ++ (ys ++ zs) or simply xs ++ ys ++ zs, but not (xs ++ ys) ++ zs. For the same reason concat = foldr (++) [] has linear performance, while foldl (++) [] is prone to quadratic slowdown

Examples

Expand

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

>>> [] ++ [1, 2, 3]
[1,2,3]

>>> [3, 2, 1] ++ []
[3,2,1]

filter :: (a -> Bool) -> [a] -> [a] Source #

$\mathcal{O}(n)$. filter, applied to a predicate and a list, returns the list of those elements that satisfy the predicate; i.e.,

filter p xs = [ x | x <- xs, p x]

Examples

Expand

>>> filter odd [1, 2, 3]
[1,3]

>>> filter (\l -> length l > 3) ["Hello", ", ", "World", "!"]
["Hello","World"]

>>> filter (/= 3) [1, 2, 3, 4, 3, 2, 1]
[1,2,4,2,1]

head :: HasCallStack => [a] -> a Source #

Warning: This is a partial function, it throws an error on empty lists. Use pattern matching, uncons or listToMaybe instead. Consider refactoring to use Data.List.NonEmpty.

$\mathcal{O}(1)$. Extract the first element of a list, which must be non-empty.

To disable the warning about partiality put {-# OPTIONS_GHC -Wno-x-partial -Wno-unrecognised-warning-flags #-} at the top of the file. To disable it throughout a package put the same options into ghc-options section of Cabal file. To disable it in GHCi put :set -Wno-x-partial -Wno-unrecognised-warning-flags into ~/.ghci config file. See also the migration guide.

Examples

Expand

>>> head [1, 2, 3]
1

>>> head [1..]
1

>>> head []
*** Exception: Prelude.head: empty list

last :: HasCallStack => [a] -> a Source #

$\mathcal{O}(n)$. Extract the last element of a list, which must be finite and non-empty.

WARNING: This function is partial. Consider using unsnoc instead.

Examples

Expand

>>> last [1, 2, 3]
3

>>> last [1..]
* Hangs forever *

>>> last []
*** Exception: Prelude.last: empty list

tail :: HasCallStack => [a] -> [a] Source #

Warning: This is a partial function, it throws an error on empty lists. Replace it with drop 1, or use pattern matching or uncons instead. Consider refactoring to use Data.List.NonEmpty.

$\mathcal{O}(1)$. Extract the elements after the head of a list, which must be non-empty.

To disable the warning about partiality put {-# OPTIONS_GHC -Wno-x-partial -Wno-unrecognised-warning-flags #-} at the top of the file. To disable it throughout a package put the same options into ghc-options section of Cabal file. To disable it in GHCi put :set -Wno-x-partial -Wno-unrecognised-warning-flags into ~/.ghci config file. See also the migration guide.

Examples

Expand

>>> tail [1, 2, 3]
[2,3]

>>> tail [1]
[]

>>> tail []
*** Exception: Prelude.tail: empty list

init :: HasCallStack => [a] -> [a] Source #

$\mathcal{O}(n)$. Return all the elements of a list except the last one. The list must be non-empty.

WARNING: This function is partial. Consider using unsnoc instead.

Examples

Expand

>>> init [1, 2, 3]
[1,2]

>>> init [1]
[]

>>> init []
*** Exception: Prelude.init: empty list

(!!) :: HasCallStack => [a] -> Int -> a infixl 9 Source #

List index (subscript) operator, starting from 0. It is an instance of the more general genericIndex, which takes an index of any integral type.

WARNING: This function is partial, and should only be used if you are sure that the indexing will not fail. Otherwise, use !?.

WARNING: This function takes linear time in the index.

Examples

Expand

>>> ['a', 'b', 'c'] !! 0
'a'

>>> ['a', 'b', 'c'] !! 2
'c'

>>> ['a', 'b', 'c'] !! 3
*** Exception: Prelude.!!: index too large

>>> ['a', 'b', 'c'] !! (-1)
*** Exception: Prelude.!!: negative index

null :: Foldable t => t a -> Bool Source #

Test whether the structure is empty. The default implementation is Left-associative and lazy in both the initial element and the accumulator. Thus optimised for structures where the first element can be accessed in constant time. Structures where this is not the case should have a non-default implementation.

Examples

Expand

Basic usage:

>>> null []
True

>>> null [1]
False

null is expected to terminate even for infinite structures. The default implementation terminates provided the structure is bounded on the left (there is a leftmost element).

>>> null [1..]
False

Since: base-4.8.0.0

length :: Foldable t => t a -> Int Source #

Returns the size/length of a finite structure as an Int. The default implementation just counts elements starting with the leftmost. Instances for structures that can compute the element count faster than via element-by-element counting, should provide a specialised implementation.

Examples

Expand

Basic usage:

>>> length []
0

>>> length ['a', 'b', 'c']
3
>>> length [1..]
* Hangs forever *

Since: base-4.8.0.0

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

$\mathcal{O}(n)$. reverse xs returns the elements of xs in reverse order. xs must be finite.

Laziness

Expand

reverse is lazy in its elements.

>>> head (reverse [undefined, 1])
1

>>> reverse (1 : 2 : undefined)
*** Exception: Prelude.undefined

Examples

Expand

>>> reverse []
[]

>>> reverse [42]
[42]

>>> reverse [2,5,7]
[7,5,2]

>>> reverse [1..]
* Hangs forever *

Special folds

and :: Foldable t => t Bool -> Bool Source #

and returns the conjunction of a container of Bools. For the result to be True, the container must be finite; False, however, results from a False value finitely far from the left end.

Examples

Expand

Basic usage:

>>> and []
True

>>> and [True]
True

>>> and [False]
False

>>> and [True, True, False]
False

>>> and (False : repeat True) -- Infinite list [False,True,True,True,...
False

>>> and (repeat True)
* Hangs forever *

or :: Foldable t => t Bool -> Bool Source #

or returns the disjunction of a container of Bools. For the result to be False, the container must be finite; True, however, results from a True value finitely far from the left end.

Examples

Expand

Basic usage:

>>> or []
False

>>> or [True]
True

>>> or [False]
False

>>> or [True, True, False]
True

>>> or (True : repeat False) -- Infinite list [True,False,False,False,...
True

>>> or (repeat False)
* Hangs forever *

any :: Foldable t => (a -> Bool) -> t a -> Bool Source #

Determines whether any element of the structure satisfies the predicate.

Examples

Expand

Basic usage:

>>> any (> 3) []
False

>>> any (> 3) [1,2]
False

>>> any (> 3) [1,2,3,4,5]
True

>>> any (> 3) [1..]
True

>>> any (> 3) [0, -1..]
* Hangs forever *

all :: Foldable t => (a -> Bool) -> t a -> Bool Source #

Determines whether all elements of the structure satisfy the predicate.

Examples

Expand

Basic usage:

>>> all (> 3) []
True

>>> all (> 3) [1,2]
False

>>> all (> 3) [1,2,3,4,5]
False

>>> all (> 3) [1..]
False

>>> all (> 3) [4..]
* Hangs forever *

concat :: Foldable t => t [a] -> [a] Source #

The concatenation of all the elements of a container of lists.

Examples

Expand

Basic usage:

>>> concat (Just [1, 2, 3])
[1,2,3]

>>> concat (Left 42)
[]

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

concatMap :: Foldable t => (a -> [b]) -> t a -> [b] Source #

Map a function over all the elements of a container and concatenate the resulting lists.

Examples

Expand

Basic usage:

>>> concatMap (take 3) [[1..], [10..], [100..], [1000..]]
[1,2,3,10,11,12,100,101,102,1000,1001,1002]

>>> concatMap (take 3) (Just [1..])
[1,2,3]

Building lists

Scans

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

$\mathcal{O}(n)$. scanl is similar to foldl, but returns a list of successive reduced values from the left:

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

Note that

last (scanl f z xs) == foldl f z xs

Examples

Expand

>>> scanl (+) 0 [1..4]
[0,1,3,6,10]

>>> scanl (+) 42 []
[42]

>>> scanl (-) 100 [1..4]
[100,99,97,94,90]

>>> scanl (\reversedString nextChar -> nextChar : reversedString) "foo" ['a', 'b', 'c', 'd']
["foo","afoo","bafoo","cbafoo","dcbafoo"]

>>> take 10 (scanl (+) 0 [1..])
[0,1,3,6,10,15,21,28,36,45]

>>> take 1 (scanl undefined 'a' undefined)
"a"

scanl1 :: (a -> a -> a) -> [a] -> [a] Source #

$\mathcal{O}(n)$. scanl1 is a variant of scanl that has no starting value argument:

scanl1 f [x1, x2, ...] == [x1, x1 `f` x2, ...]

Examples

Expand

>>> scanl1 (+) [1..4]
[1,3,6,10]

>>> scanl1 (+) []
[]

>>> scanl1 (-) [1..4]
[1,-1,-4,-8]

>>> scanl1 (&&) [True, False, True, True]
[True,False,False,False]

>>> scanl1 (||) [False, False, True, True]
[False,False,True,True]

>>> take 10 (scanl1 (+) [1..])
[1,3,6,10,15,21,28,36,45,55]

>>> take 1 (scanl1 undefined ('a' : undefined))
"a"

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

$\mathcal{O}(n)$. scanr is the right-to-left dual of scanl. Note that the order of parameters on the accumulating function are reversed compared to scanl. Also note that

head (scanr f z xs) == foldr f z xs.

Examples

Expand

>>> scanr (+) 0 [1..4]
[10,9,7,4,0]

>>> scanr (+) 42 []
[42]

>>> scanr (-) 100 [1..4]
[98,-97,99,-96,100]

>>> scanr (\nextChar reversedString -> nextChar : reversedString) "foo" ['a', 'b', 'c', 'd']
["abcdfoo","bcdfoo","cdfoo","dfoo","foo"]

>>> force $ scanr (+) 0 [1..]
*** Exception: stack overflow

scanr1 :: (a -> a -> a) -> [a] -> [a] Source #

$\mathcal{O}(n)$. scanr1 is a variant of scanr that has no starting value argument.

Examples

Expand

>>> scanr1 (+) [1..4]
[10,9,7,4]

>>> scanr1 (+) []
[]

>>> scanr1 (-) [1..4]
[-2,3,-1,4]

>>> scanr1 (&&) [True, False, True, True]
[False,False,True,True]

>>> scanr1 (||) [True, True, False, False]
[True,True,False,False]

>>> force $ scanr1 (+) [1..]
*** Exception: stack overflow

Infinite lists

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

iterate f x returns an infinite list of repeated applications of f to x:

iterate f x == [x, f x, f (f x), ...]

Laziness

Expand

Note that iterate is lazy, potentially leading to thunk build-up if the consumer doesn't force each iterate. See iterate' for a strict variant of this function.

>>> take 1 $ iterate undefined 42
[42]

Examples

Expand

>>> take 10 $ iterate not True
[True,False,True,False,True,False,True,False,True,False]

>>> take 10 $ iterate (+3) 42
[42,45,48,51,54,57,60,63,66,69]

iterate id == repeat:

>>> take 10 $ iterate id 1
[1,1,1,1,1,1,1,1,1,1]

repeat :: a -> [a] Source #

repeat x is an infinite list, with x the value of every element.

Examples

Expand

>>> take 10 $ repeat 17
[17,17,17,17,17,17,17,17,17, 17]

>>> repeat undefined
[*** Exception: Prelude.undefined

replicate :: Int -> a -> [a] Source #

replicate n x is a list of length n with x the value of every element. It is an instance of the more general genericReplicate, in which n may be of any integral type.

Examples

Expand

>>> replicate 0 True
[]

>>> replicate (-1) True
[]

>>> replicate 4 True
[True,True,True,True]

cycle :: HasCallStack => [a] -> [a] Source #

cycle ties a finite list into a circular one, or equivalently, the infinite repetition of the original list. It is the identity on infinite lists.

Examples

Expand

>>> cycle []
*** Exception: Prelude.cycle: empty list

>>> take 10 (cycle [42])
[42,42,42,42,42,42,42,42,42,42]

>>> take 10 (cycle [2, 5, 7])
[2,5,7,2,5,7,2,5,7,2]

>>> take 1 (cycle (42 : undefined))
[42]

Sublists

take :: Int -> [a] -> [a] Source #

take n, applied to a list xs, returns the prefix of xs of length n, or xs itself if n >= length xs.

It is an instance of the more general genericTake, in which n may be of any integral type.

Laziness

Expand

>>> take 0 undefined
[]
>>> take 2 (1 : 2 : undefined)
[1,2]

Examples

Expand

>>> take 5 "Hello World!"
"Hello"

>>> take 3 [1,2,3,4,5]
[1,2,3]

>>> take 3 [1,2]
[1,2]

>>> take 3 []
[]

>>> take (-1) [1,2]
[]

>>> take 0 [1,2]
[]

drop :: Int -> [a] -> [a] Source #

drop n xs returns the suffix of xs after the first n elements, or [] if n >= length xs.

It is an instance of the more general genericDrop, in which n may be of any integral type.

Examples

Expand

>>> drop 6 "Hello World!"
"World!"

>>> drop 3 [1,2,3,4,5]
[4,5]

>>> drop 3 [1,2]
[]

>>> drop 3 []
[]

>>> drop (-1) [1,2]
[1,2]

>>> drop 0 [1,2]
[1,2]

takeWhile :: (a -> Bool) -> [a] -> [a] Source #

takeWhile, applied to a predicate p and a list xs, returns the longest prefix (possibly empty) of xs of elements that satisfy p.

Laziness

Expand

>>> takeWhile (const False) undefined
*** Exception: Prelude.undefined

>>> takeWhile (const False) (undefined : undefined)
[]

>>> take 1 (takeWhile (const True) (1 : undefined))
[1]

Examples

Expand

>>> takeWhile (< 3) [1,2,3,4,1,2,3,4]
[1,2]

>>> takeWhile (< 9) [1,2,3]
[1,2,3]

>>> takeWhile (< 0) [1,2,3]
[]

dropWhile :: (a -> Bool) -> [a] -> [a] Source #

dropWhile p xs returns the suffix remaining after takeWhile p xs.

Examples

Expand

>>> dropWhile (< 3) [1,2,3,4,5,1,2,3]
[3,4,5,1,2,3]

>>> dropWhile (< 9) [1,2,3]
[]

>>> dropWhile (< 0) [1,2,3]
[1,2,3]

span :: (a -> Bool) -> [a] -> ([a], [a]) Source #

span, applied to a predicate p and a list xs, returns a tuple where first element is the longest prefix (possibly empty) of xs of elements that satisfy p and second element is the remainder of the list:

span p xs is equivalent to (takeWhile p xs, dropWhile p xs), even if p is _|_.

Laziness

Expand

>>> span undefined []
([],[])
>>> fst (span (const False) undefined)
*** Exception: Prelude.undefined
>>> fst (span (const False) (undefined : undefined))
[]
>>> take 1 (fst (span (const True) (1 : undefined)))
[1]

span produces the first component of the tuple lazily:

>>> take 10 (fst (span (const True) [1..]))
[1,2,3,4,5,6,7,8,9,10]

Examples

Expand

>>> span (< 3) [1,2,3,4,1,2,3,4]
([1,2],[3,4,1,2,3,4])

>>> span (< 9) [1,2,3]
([1,2,3],[])

>>> span (< 0) [1,2,3]
([],[1,2,3])

break :: (a -> Bool) -> [a] -> ([a], [a]) Source #

break, applied to a predicate p and a list xs, returns a tuple where first element is longest prefix (possibly empty) of xs of elements that do not satisfy p and second element is the remainder of the list:

break p is equivalent to span (not . p) and consequently to (takeWhile (not . p) xs, dropWhile (not . p) xs), even if p is _|_.

Laziness

Expand

>>> break undefined []
([],[])

>>> fst (break (const True) undefined)
*** Exception: Prelude.undefined

>>> fst (break (const True) (undefined : undefined))
[]

>>> take 1 (fst (break (const False) (1 : undefined)))
[1]

break produces the first component of the tuple lazily:

>>> take 10 (fst (break (const False) [1..]))
[1,2,3,4,5,6,7,8,9,10]

Examples

Expand

>>> break (> 3) [1,2,3,4,1,2,3,4]
([1,2,3],[4,1,2,3,4])

>>> break (< 9) [1,2,3]
([],[1,2,3])

>>> break (> 9) [1,2,3]
([1,2,3],[])

splitAt :: Int -> [a] -> ([a], [a]) Source #

splitAt n xs returns a tuple where first element is xs prefix of length n and second element is the remainder of the list:

splitAt is an instance of the more general genericSplitAt, in which n may be of any integral type.

Laziness

Expand

It is equivalent to (take n xs, drop n xs) unless n is _|_: splitAt _|_ xs = _|_, not (_|_, _|_)).

The first component of the tuple is produced lazily:

>>> fst (splitAt 0 undefined)
[]

>>> take 1 (fst (splitAt 10 (1 : undefined)))
[1]

Examples

Expand

>>> splitAt 6 "Hello World!"
("Hello ","World!")

>>> splitAt 3 [1,2,3,4,5]
([1,2,3],[4,5])

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

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

>>> splitAt 4 [1,2,3]
([1,2,3],[])

>>> splitAt 0 [1,2,3]
([],[1,2,3])

>>> splitAt (-1) [1,2,3]
([],[1,2,3])

Searching lists

notElem :: (Foldable t, Eq a) => a -> t a -> Bool infix 4 Source #

notElem is the negation of elem.

Examples

Expand

Basic usage:

>>> 3 `notElem` []
True

>>> 3 `notElem` [1,2]
True

>>> 3 `notElem` [1,2,3,4,5]
False

For infinite structures, notElem terminates if the value exists at a finite distance from the left side of the structure:

>>> 3 `notElem` [1..]
False

>>> 3 `notElem` ([4..] ++ [3])
* Hangs forever *

lookup :: Eq a => a -> [(a, b)] -> Maybe b Source #

$\mathcal{O}(n)$. lookup key assocs looks up a key in an association list. For the result to be Nothing, the list must be finite.

Examples

Expand

>>> lookup 2 []
Nothing

>>> lookup 2 [(1, "first")]
Nothing

>>> lookup 2 [(1, "first"), (2, "second"), (3, "third")]
Just "second"

Zipping and unzipping lists

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

$\mathcal{O}(\min(m,n))$. zip takes two lists and returns a list of corresponding pairs.

zip is right-lazy:

>>> zip [] undefined
[]
>>> zip undefined []
*** Exception: Prelude.undefined
...

zip is capable of list fusion, but it is restricted to its first list argument and its resulting list.

Examples

Expand

>>> zip [1, 2, 3] ['a', 'b', 'c']
[(1,'a'),(2,'b'),(3,'c')]

If one input list is shorter than the other, excess elements of the longer list are discarded, even if one of the lists is infinite:

>>> zip [1] ['a', 'b']
[(1,'a')]

>>> zip [1, 2] ['a']
[(1,'a')]

>>> zip [] [1..]
[]

>>> zip [1..] []
[]

zip3 :: [a] -> [b] -> [c] -> [(a, b, c)] Source #

zip3 takes three lists and returns a list of triples, analogous to zip. It is capable of list fusion, but it is restricted to its first list argument and its resulting list.

zipWith :: (a -> b -> c) -> [a] -> [b] -> [c] Source #

$\mathcal{O}(\min(m,n))$. zipWith generalises zip by zipping with the function given as the first argument, instead of a tupling function.

zipWith (,) xs ys == zip xs ys
zipWith f [x1,x2,x3..] [y1,y2,y3..] == [f x1 y1, f x2 y2, f x3 y3..]

zipWith is right-lazy:

>>> let f = undefined
>>> zipWith f [] undefined
[]

zipWith is capable of list fusion, but it is restricted to its first list argument and its resulting list.

Examples

Expand

zipWith (+) can be applied to two lists to produce the list of corresponding sums:

>>> zipWith (+) [1, 2, 3] [4, 5, 6]
[5,7,9]

>>> zipWith (++) ["hello ", "foo"] ["world!", "bar"]
["hello world!","foobar"]

zipWith3 :: (a -> b -> c -> d) -> [a] -> [b] -> [c] -> [d] Source #

$\mathcal{O}(\min(l,m,n))$. The zipWith3 function takes a function which combines three elements, as well as three lists and returns a list of the function applied to corresponding elements, analogous to zipWith. It is capable of list fusion, but it is restricted to its first list argument and its resulting list.

zipWith3 (,,) xs ys zs == zip3 xs ys zs
zipWith3 f [x1,x2,x3..] [y1,y2,y3..] [z1,z2,z3..] == [f x1 y1 z1, f x2 y2 z2, f x3 y3 z3..]

Examples

Expand

>>> zipWith3 (\x y z -> [x, y, z]) "123" "abc" "xyz"
["1ax","2by","3cz"]

>>> zipWith3 (\x y z -> (x * y) + z) [1, 2, 3] [4, 5, 6] [7, 8, 9]
[11,18,27]

unzip :: [(a, b)] -> ([a], [b]) Source #

unzip transforms a list of pairs into a list of first components and a list of second components.

Examples

Expand

>>> unzip []
([],[])

>>> unzip [(1, 'a'), (2, 'b')]
([1,2],"ab")

unzip3 :: [(a, b, c)] -> ([a], [b], [c]) Source #

The unzip3 function takes a list of triples and returns three lists of the respective components, analogous to unzip.

Examples

Expand

>>> unzip3 []
([],[],[])

>>> unzip3 [(1, 'a', True), (2, 'b', False)]
([1,2],"ab",[True,False])

Functions on strings

lines :: String -> [String] Source #

Splits the argument into a list of lines stripped of their terminating \n characters. The \n terminator is optional in a final non-empty line of the argument string.

When the argument string is empty, or ends in a \n character, it can be recovered by passing the result of lines to the unlines function. Otherwise, unlines appends the missing terminating \n. This makes unlines . lines idempotent:

(unlines . lines) . (unlines . lines) = (unlines . lines)

Examples

Expand

>>> lines ""           -- empty input contains no lines
[]

>>> lines "\n"         -- single empty line
[""]

>>> lines "one"        -- single unterminated line
["one"]

>>> lines "one\n"      -- single non-empty line
["one"]

>>> lines "one\n\n"    -- second line is empty
["one",""]

>>> lines "one\ntwo"   -- second line is unterminated
["one","two"]

>>> lines "one\ntwo\n" -- two non-empty lines
["one","two"]

words :: String -> [String] Source #

words breaks a string up into a list of words, which were delimited by white space (as defined by isSpace). This function trims any white spaces at the beginning and at the end.

Examples

Expand

>>> words "Lorem ipsum\ndolor"
["Lorem","ipsum","dolor"]

>>> words " foo bar "
["foo","bar"]

unlines :: [String] -> String Source #

Appends a \n character to each input string, then concatenates the results. Equivalent to foldMap (s -> s ++ "\n").

Examples

Expand

>>> unlines ["Hello", "World", "!"]
"Hello\nWorld\n!\n"

Note that unlines . lines /= id when the input is not \n-terminated:

>>> unlines . lines $ "foo\nbar"
"foo\nbar\n"

unwords :: [String] -> String Source #

unwords joins words with separating spaces (U+0020 SPACE).

unwords is neither left nor right inverse of words:

>>> words (unwords [" "])
[]
>>> unwords (words "foo\nbar")
"foo bar"

Examples

Expand

>>> unwords ["Lorem", "ipsum", "dolor"]
"Lorem ipsum dolor"

>>> unwords ["foo", "bar", "", "baz"]
"foo bar  baz"

Converting to and from `String`

Converting to `String`

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.

class Show a where Source #

Conversion of values to readable Strings.

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

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

For example, given the declarations

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

the derived instance of Show is equivalent to

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

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

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

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

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

Minimal complete definition

showsPrec | show

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 Source #	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 CCFlags Source #	Since: base-4.8.0.0
Instance details Defined in GHC.RTS.Flags Methods showsPrec :: Int -> CCFlags -> ShowS Source # show :: CCFlags -> String Source # showList :: [CCFlags] -> ShowS Source #
Show ConcFlags Source #	Since: base-4.8.0.0
Instance details Defined in GHC.RTS.Flags Methods showsPrec :: Int -> ConcFlags -> ShowS Source # show :: ConcFlags -> String Source # showList :: [ConcFlags] -> ShowS Source #
Show DebugFlags Source #	Since: base-4.8.0.0
Instance details Defined in GHC.RTS.Flags Methods showsPrec :: Int -> DebugFlags -> ShowS Source # show :: DebugFlags -> String Source # showList :: [DebugFlags] -> ShowS Source #
Show DoCostCentres Source #	Since: base-4.8.0.0
Instance details Defined in GHC.RTS.Flags Methods showsPrec :: Int -> DoCostCentres -> ShowS Source # show :: DoCostCentres -> String Source # showList :: [DoCostCentres] -> ShowS Source #
Show DoHeapProfile Source #	Since: base-4.8.0.0
Instance details Defined in GHC.RTS.Flags Methods showsPrec :: Int -> DoHeapProfile -> ShowS Source # show :: DoHeapProfile -> String Source # showList :: [DoHeapProfile] -> ShowS Source #
Show DoTrace Source #	Since: base-4.8.0.0
Instance details Defined in GHC.RTS.Flags Methods showsPrec :: Int -> DoTrace -> ShowS Source # show :: DoTrace -> String Source # showList :: [DoTrace] -> ShowS Source #
Show GCFlags Source #	Since: base-4.8.0.0
Instance details Defined in GHC.RTS.Flags Methods showsPrec :: Int -> GCFlags -> ShowS Source # show :: GCFlags -> String Source # showList :: [GCFlags] -> ShowS Source #
Show GiveGCStats Source #	Since: base-4.8.0.0
Instance details Defined in GHC.RTS.Flags Methods showsPrec :: Int -> GiveGCStats -> ShowS Source # show :: GiveGCStats -> String Source # showList :: [GiveGCStats] -> ShowS Source #
Show HpcFlags Source #	Since: base-4.20.0.0
Instance details Defined in GHC.RTS.Flags Methods showsPrec :: Int -> HpcFlags -> ShowS Source # show :: HpcFlags -> String Source # showList :: [HpcFlags] -> ShowS Source #
Show IoManagerFlag Source #
Instance details Defined in GHC.RTS.Flags Methods showsPrec :: Int -> IoManagerFlag -> ShowS Source # show :: IoManagerFlag -> String Source # showList :: [IoManagerFlag] -> ShowS Source #
Show MiscFlags Source #	Since: base-4.8.0.0
Instance details Defined in GHC.RTS.Flags Methods showsPrec :: Int -> MiscFlags -> ShowS Source # show :: MiscFlags -> String Source # showList :: [MiscFlags] -> ShowS Source #
Show ParFlags Source #	Since: base-4.8.0.0
Instance details Defined in GHC.RTS.Flags Methods showsPrec :: Int -> ParFlags -> ShowS Source # show :: ParFlags -> String Source # showList :: [ParFlags] -> ShowS Source #
Show ProfFlags Source #	Since: base-4.8.0.0
Instance details Defined in GHC.RTS.Flags Methods showsPrec :: Int -> ProfFlags -> ShowS Source # show :: ProfFlags -> String Source # showList :: [ProfFlags] -> ShowS Source #
Show RTSFlags Source #	Since: base-4.8.0.0
Instance details Defined in GHC.RTS.Flags Methods showsPrec :: Int -> RTSFlags -> ShowS Source # show :: RTSFlags -> String Source # showList :: [RTSFlags] -> ShowS Source #
Show TickyFlags Source #	Since: base-4.8.0.0
Instance details Defined in GHC.RTS.Flags Methods showsPrec :: Int -> TickyFlags -> ShowS Source # show :: TickyFlags -> String Source # showList :: [TickyFlags] -> ShowS Source #
Show TraceFlags Source #	Since: base-4.8.0.0
Instance details Defined in GHC.RTS.Flags Methods showsPrec :: Int -> TraceFlags -> ShowS Source # show :: TraceFlags -> String Source # showList :: [TraceFlags] -> ShowS Source #
Show GCDetails Source #	Since: base-4.10.0.0
Instance details Defined in GHC.Stats Methods showsPrec :: Int -> GCDetails -> ShowS Source # show :: GCDetails -> String Source # showList :: [GCDetails] -> ShowS Source #
Show RTSStats Source #	Since: base-4.10.0.0
Instance details Defined in GHC.Stats Methods showsPrec :: Int -> RTSStats -> ShowS Source # show :: RTSStats -> String Source # showList :: [RTSStats] -> ShowS Source #
Show Timeout Source #	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 Source #	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 ByteOrder Source #	Since: base-4.11.0.0
Instance details Defined in GHC.Internal.ByteOrder Methods showsPrec :: Int -> ByteOrder -> ShowS Source # show :: ByteOrder -> String Source # showList :: [ByteOrder] -> ShowS Source #
Show ClosureType Source #
Instance details Defined in GHC.Internal.ClosureTypes Methods showsPrec :: Int -> ClosureType -> ShowS Source # show :: ClosureType -> String Source # showList :: [ClosureType] -> ShowS Source #
Show BlockReason Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 ControlMessage Source #	Since: base-4.4.0.0
Instance details Defined in GHC.Internal.Event.Control Methods showsPrec :: Int -> ControlMessage -> ShowS Source # show :: ControlMessage -> String Source # showList :: [ControlMessage] -> ShowS Source #
Show Event Source #	Since: base-4.4.0.0
Instance details Defined in GHC.Internal.Event.Internal.Types Methods showsPrec :: Int -> Event -> ShowS Source # show :: Event -> String Source # showList :: [Event] -> ShowS Source #
Show EventLifetime Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Event.Internal.Types Methods showsPrec :: Int -> EventLifetime -> ShowS Source # show :: EventLifetime -> String Source # showList :: [EventLifetime] -> ShowS Source #
Show Lifetime Source #	Since: base-4.8.1.0
Instance details Defined in GHC.Internal.Event.Internal.Types Methods showsPrec :: Int -> Lifetime -> ShowS Source # show :: Lifetime -> String Source # showList :: [Lifetime] -> ShowS Source #
Show Timeout Source #	Since: base-4.4.0.0
Instance details Defined in GHC.Internal.Event.Internal.Types Methods showsPrec :: Int -> Timeout -> ShowS Source # show :: Timeout -> String Source # showList :: [Timeout] -> ShowS Source #
Show FdKey Source #	Since: base-4.4.0.0
Instance details Defined in GHC.Internal.Event.Manager Methods showsPrec :: Int -> FdKey -> ShowS Source # show :: FdKey -> String Source # showList :: [FdKey] -> ShowS Source #
Show State Source #	Since: base-4.4.0.0
Instance details Defined in GHC.Internal.Event.Manager Methods showsPrec :: Int -> State -> ShowS Source # show :: State -> String Source # showList :: [State] -> ShowS Source #
Show State Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Event.TimerManager Methods showsPrec :: Int -> State -> ShowS Source # show :: State -> String Source # showList :: [State] -> ShowS Source #
Show Unique Source #	Since: base-4.3.1.0
Instance details Defined in GHC.Internal.Event.Unique Methods showsPrec :: Int -> Unique -> ShowS Source # show :: Unique -> String Source # showList :: [Unique] -> ShowS Source #
Show ErrorCall Source #	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 Source #	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 Source #	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 WhileHandling Source #
Instance details Defined in GHC.Internal.Exception.Type Methods showsPrec :: Int -> WhileHandling -> ShowS Source # show :: WhileHandling -> String Source # showList :: [WhileHandling] -> ShowS Source #
Show Fingerprint Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Fingerprint.Type Methods showsPrec :: Int -> Fingerprint -> ShowS Source # show :: Fingerprint -> String Source # showList :: [Fingerprint] -> ShowS Source #
Show CBool Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CBool -> ShowS Source # show :: CBool -> String Source # showList :: [CBool] -> ShowS Source #
Show CChar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CChar -> ShowS Source # show :: CChar -> String Source # showList :: [CChar] -> ShowS Source #
Show CClock Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CClock -> ShowS Source # show :: CClock -> String Source # showList :: [CClock] -> ShowS Source #
Show CDouble Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CDouble -> ShowS Source # show :: CDouble -> String Source # showList :: [CDouble] -> ShowS Source #
Show CFloat Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CFloat -> ShowS Source # show :: CFloat -> String Source # showList :: [CFloat] -> ShowS Source #
Show CInt Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CInt -> ShowS Source # show :: CInt -> String Source # showList :: [CInt] -> ShowS Source #
Show CIntMax Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CIntMax -> ShowS Source # show :: CIntMax -> String Source # showList :: [CIntMax] -> ShowS Source #
Show CIntPtr Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CIntPtr -> ShowS Source # show :: CIntPtr -> String Source # showList :: [CIntPtr] -> ShowS Source #
Show CLLong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CLLong -> ShowS Source # show :: CLLong -> String Source # showList :: [CLLong] -> ShowS Source #
Show CLong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CLong -> ShowS Source # show :: CLong -> String Source # showList :: [CLong] -> ShowS Source #
Show CPtrdiff Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CPtrdiff -> ShowS Source # show :: CPtrdiff -> String Source # showList :: [CPtrdiff] -> ShowS Source #
Show CSChar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CSChar -> ShowS Source # show :: CSChar -> String Source # showList :: [CSChar] -> ShowS Source #
Show CSUSeconds Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CSUSeconds -> ShowS Source # show :: CSUSeconds -> String Source # showList :: [CSUSeconds] -> ShowS Source #
Show CShort Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CShort -> ShowS Source # show :: CShort -> String Source # showList :: [CShort] -> ShowS Source #
Show CSigAtomic Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CSigAtomic -> ShowS Source # show :: CSigAtomic -> String Source # showList :: [CSigAtomic] -> ShowS Source #
Show CSize Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CSize -> ShowS Source # show :: CSize -> String Source # showList :: [CSize] -> ShowS Source #
Show CTime Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CTime -> ShowS Source # show :: CTime -> String Source # showList :: [CTime] -> ShowS Source #
Show CUChar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CUChar -> ShowS Source # show :: CUChar -> String Source # showList :: [CUChar] -> ShowS Source #
Show CUInt Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CUInt -> ShowS Source # show :: CUInt -> String Source # showList :: [CUInt] -> ShowS Source #
Show CUIntMax Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CUIntMax -> ShowS Source # show :: CUIntMax -> String Source # showList :: [CUIntMax] -> ShowS Source #
Show CUIntPtr Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CUIntPtr -> ShowS Source # show :: CUIntPtr -> String Source # showList :: [CUIntPtr] -> ShowS Source #
Show CULLong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CULLong -> ShowS Source # show :: CULLong -> String Source # showList :: [CULLong] -> ShowS Source #
Show CULong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CULong -> ShowS Source # show :: CULong -> String Source # showList :: [CULong] -> ShowS Source #
Show CUSeconds Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CUSeconds -> ShowS Source # show :: CUSeconds -> String Source # showList :: [CUSeconds] -> ShowS Source #
Show CUShort Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CUShort -> ShowS Source # show :: CUShort -> String Source # showList :: [CUShort] -> ShowS Source #
Show CWchar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods showsPrec :: Int -> CWchar -> ShowS Source # show :: CWchar -> String Source # showList :: [CWchar] -> ShowS Source #
Show IntPtr Source #
Instance details Defined in GHC.Internal.Foreign.Ptr Methods showsPrec :: Int -> IntPtr -> ShowS Source # show :: IntPtr -> String Source # showList :: [IntPtr] -> ShowS Source #
Show WordPtr Source #
Instance details Defined in GHC.Internal.Foreign.Ptr Methods showsPrec :: Int -> WordPtr -> ShowS Source # show :: WordPtr -> String Source # showList :: [WordPtr] -> ShowS Source #
Show ForeignSrcLang Source #
Instance details Defined in GHC.Internal.ForeignSrcLang Methods showsPrec :: Int -> ForeignSrcLang -> ShowS Source # show :: ForeignSrcLang -> String Source # showList :: [ForeignSrcLang] -> ShowS Source #
Show Associativity Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Box Source #
Instance details Defined in GHC.Internal.Heap.Closures Methods showsPrec :: Int -> Box -> ShowS Source # show :: Box -> String Source # showList :: [Box] -> ShowS Source #
Show PrimType Source #
Instance details Defined in GHC.Internal.Heap.Closures Methods showsPrec :: Int -> PrimType -> ShowS Source # show :: PrimType -> String Source # showList :: [PrimType] -> ShowS Source #
Show TsoFlags Source #
Instance details Defined in GHC.Internal.Heap.Closures Methods showsPrec :: Int -> TsoFlags -> ShowS Source # show :: TsoFlags -> String Source # showList :: [TsoFlags] -> ShowS Source #
Show WhatNext Source #
Instance details Defined in GHC.Internal.Heap.Closures Methods showsPrec :: Int -> WhatNext -> ShowS Source # show :: WhatNext -> String Source # showList :: [WhatNext] -> ShowS Source #
Show WhyBlocked Source #
Instance details Defined in GHC.Internal.Heap.Closures Methods showsPrec :: Int -> WhyBlocked -> ShowS Source # show :: WhyBlocked -> String Source # showList :: [WhyBlocked] -> ShowS Source #
Show HalfWord Source #
Instance details Defined in GHC.Internal.Heap.InfoTable.Types Methods showsPrec :: Int -> HalfWord -> ShowS Source # show :: HalfWord -> String Source # showList :: [HalfWord] -> ShowS Source #
Show StgInfoTable Source #
Instance details Defined in GHC.Internal.Heap.InfoTable.Types Methods showsPrec :: Int -> StgInfoTable -> ShowS Source # show :: StgInfoTable -> String Source # showList :: [StgInfoTable] -> ShowS Source #
Show CostCentre Source #
Instance details Defined in GHC.Internal.Heap.ProfInfo.Types Methods showsPrec :: Int -> CostCentre -> ShowS Source # show :: CostCentre -> String Source # showList :: [CostCentre] -> ShowS Source #
Show CostCentreStack Source #
Instance details Defined in GHC.Internal.Heap.ProfInfo.Types Methods showsPrec :: Int -> CostCentreStack -> ShowS Source # show :: CostCentreStack -> String Source # showList :: [CostCentreStack] -> ShowS Source #
Show IndexTable Source #
Instance details Defined in GHC.Internal.Heap.ProfInfo.Types Methods showsPrec :: Int -> IndexTable -> ShowS Source # show :: IndexTable -> String Source # showList :: [IndexTable] -> ShowS Source #
Show StgTSOProfInfo Source #
Instance details Defined in GHC.Internal.Heap.ProfInfo.Types Methods showsPrec :: Int -> StgTSOProfInfo -> ShowS Source # show :: StgTSOProfInfo -> String Source # showList :: [StgTSOProfInfo] -> ShowS Source #
Show MaskingState Source #	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 Source #	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 CodingFailureMode Source #	Since: base-4.4.0.0
Instance details Defined in GHC.Internal.IO.Encoding.Failure Methods showsPrec :: Int -> CodingFailureMode -> ShowS Source # show :: CodingFailureMode -> String Source # showList :: [CodingFailureMode] -> ShowS Source #
Show CodingProgress Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #
Instance details Defined in GHC.Internal.IO.Exception Methods showsPrec :: Int -> ExitCode -> ShowS Source # show :: ExitCode -> String Source # showList :: [ExitCode] -> ShowS Source #
Show FixIOException Source #	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 Source #	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 Source #	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 Source #	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 FD Source #	Since: base-4.1.0.0
Instance details Defined in GHC.Internal.IO.FD Methods showsPrec :: Int -> FD -> ShowS Source # show :: FD -> String Source # showList :: [FD] -> ShowS Source #
Show HandlePosn Source #	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 FileLockingNotSupported Source #	Since: base-4.10.0.0
Instance details Defined in GHC.Internal.IO.Handle.Lock.Common Methods showsPrec :: Int -> FileLockingNotSupported -> ShowS Source # show :: FileLockingNotSupported -> String Source # showList :: [FileLockingNotSupported] -> ShowS Source #
Show BufferMode Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 IoSubSystem Source #
Instance details Defined in GHC.Internal.IO.SubSystem Methods showsPrec :: Int -> IoSubSystem -> ShowS Source # show :: IoSubSystem -> String Source # showList :: [IoSubSystem] -> ShowS Source #
Show InfoProv Source #
Instance details Defined in GHC.Internal.InfoProv.Types Methods showsPrec :: Int -> InfoProv -> ShowS Source # show :: InfoProv -> String Source # showList :: [InfoProv] -> ShowS Source #
Show Int16 Source #	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 Source #	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 Source #	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 Source #	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 Extension Source #
Instance details Defined in GHC.Internal.LanguageExtensions Methods showsPrec :: Int -> Extension -> ShowS Source # show :: Extension -> String Source # showList :: [Extension] -> ShowS Source #
Show CCFlags Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.RTS.Flags Methods showsPrec :: Int -> CCFlags -> ShowS Source # show :: CCFlags -> String Source # showList :: [CCFlags] -> ShowS Source #
Show ConcFlags Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.RTS.Flags Methods showsPrec :: Int -> ConcFlags -> ShowS Source # show :: ConcFlags -> String Source # showList :: [ConcFlags] -> ShowS Source #
Show DebugFlags Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.RTS.Flags Methods showsPrec :: Int -> DebugFlags -> ShowS Source # show :: DebugFlags -> String Source # showList :: [DebugFlags] -> ShowS Source #
Show DoCostCentres Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.RTS.Flags Methods showsPrec :: Int -> DoCostCentres -> ShowS Source # show :: DoCostCentres -> String Source # showList :: [DoCostCentres] -> ShowS Source #
Show DoHeapProfile Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.RTS.Flags Methods showsPrec :: Int -> DoHeapProfile -> ShowS Source # show :: DoHeapProfile -> String Source # showList :: [DoHeapProfile] -> ShowS Source #
Show DoTrace Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.RTS.Flags Methods showsPrec :: Int -> DoTrace -> ShowS Source # show :: DoTrace -> String Source # showList :: [DoTrace] -> ShowS Source #
Show GCFlags Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.RTS.Flags Methods showsPrec :: Int -> GCFlags -> ShowS Source # show :: GCFlags -> String Source # showList :: [GCFlags] -> ShowS Source #
Show GiveGCStats Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.RTS.Flags Methods showsPrec :: Int -> GiveGCStats -> ShowS Source # show :: GiveGCStats -> String Source # showList :: [GiveGCStats] -> ShowS Source #
Show HpcFlags Source #	Since: base-4.20.0.0
Instance details Defined in GHC.Internal.RTS.Flags Methods showsPrec :: Int -> HpcFlags -> ShowS Source # show :: HpcFlags -> String Source # showList :: [HpcFlags] -> ShowS Source #
Show IoManagerFlag Source #
Instance details Defined in GHC.Internal.RTS.Flags Methods showsPrec :: Int -> IoManagerFlag -> ShowS Source # show :: IoManagerFlag -> String Source # showList :: [IoManagerFlag] -> ShowS Source #
Show MiscFlags Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.RTS.Flags Methods showsPrec :: Int -> MiscFlags -> ShowS Source # show :: MiscFlags -> String Source # showList :: [MiscFlags] -> ShowS Source #
Show ParFlags Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.RTS.Flags Methods showsPrec :: Int -> ParFlags -> ShowS Source # show :: ParFlags -> String Source # showList :: [ParFlags] -> ShowS Source #
Show ProfFlags Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.RTS.Flags Methods showsPrec :: Int -> ProfFlags -> ShowS Source # show :: ProfFlags -> String Source # showList :: [ProfFlags] -> ShowS Source #
Show RTSFlags Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.RTS.Flags Methods showsPrec :: Int -> RTSFlags -> ShowS Source # show :: RTSFlags -> String Source # showList :: [RTSFlags] -> ShowS Source #
Show TickyFlags Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.RTS.Flags Methods showsPrec :: Int -> TickyFlags -> ShowS Source # show :: TickyFlags -> String Source # showList :: [TickyFlags] -> ShowS Source #
Show TraceFlags Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.RTS.Flags Methods showsPrec :: Int -> TraceFlags -> ShowS Source # show :: TraceFlags -> String Source # showList :: [TraceFlags] -> ShowS Source #
Show FractionalExponentBase Source #
Instance details Defined in GHC.Internal.Real Methods showsPrec :: Int -> FractionalExponentBase -> ShowS Source # show :: FractionalExponentBase -> String Source # showList :: [FractionalExponentBase] -> ShowS Source #
Show ByteOffset Source #
Instance details Defined in GHC.Internal.Stack.Constants Methods showsPrec :: Int -> ByteOffset -> ShowS Source # show :: ByteOffset -> String Source # showList :: [ByteOffset] -> ShowS Source #
Show WordOffset Source #
Instance details Defined in GHC.Internal.Stack.Constants Methods showsPrec :: Int -> WordOffset -> ShowS Source # show :: WordOffset -> String Source # showList :: [WordOffset] -> ShowS Source #
Show ByteOffset Source #
Instance details Defined in GHC.Internal.Stack.ConstantsProf Methods showsPrec :: Int -> ByteOffset -> ShowS Source # show :: ByteOffset -> String Source # showList :: [ByteOffset] -> ShowS Source #
Show WordOffset Source #
Instance details Defined in GHC.Internal.Stack.ConstantsProf Methods showsPrec :: Int -> WordOffset -> ShowS Source # show :: WordOffset -> String Source # showList :: [WordOffset] -> ShowS Source #
Show Pointerness Source #
Instance details Defined in GHC.Internal.Stack.Decode Methods showsPrec :: Int -> Pointerness -> ShowS Source # show :: Pointerness -> String Source # showList :: [Pointerness] -> ShowS Source #
Show StackEntry Source #
Instance details Defined in GHC.Internal.Stack.Decode Methods showsPrec :: Int -> StackEntry -> ShowS Source # show :: StackEntry -> String Source # showList :: [StackEntry] -> ShowS Source #
Show CallStack Source #	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 Source #	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 StaticPtrInfo Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.StaticPtr Methods showsPrec :: Int -> StaticPtrInfo -> ShowS Source # show :: StaticPtrInfo -> String Source # showList :: [StaticPtrInfo] -> ShowS Source #
Show GCDetails Source #	Since: base-4.10.0.0
Instance details Defined in GHC.Internal.Stats Methods showsPrec :: Int -> GCDetails -> ShowS Source # show :: GCDetails -> String Source # showList :: [GCDetails] -> ShowS Source #
Show RTSStats Source #	Since: base-4.10.0.0
Instance details Defined in GHC.Internal.Stats Methods showsPrec :: Int -> RTSStats -> ShowS Source # show :: RTSStats -> String Source # showList :: [RTSStats] -> ShowS Source #
Show CBlkCnt Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
Instance details Defined in GHC.Internal.System.Posix.Types Methods showsPrec :: Int -> Fd -> ShowS Source # show :: Fd -> String Source # showList :: [Fd] -> ShowS Source #
Show AnnLookup Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> AnnLookup -> ShowS Source # show :: AnnLookup -> String Source # showList :: [AnnLookup] -> ShowS Source #
Show AnnTarget Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> AnnTarget -> ShowS Source # show :: AnnTarget -> String Source # showList :: [AnnTarget] -> ShowS Source #
Show Bang Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> Bang -> ShowS Source # show :: Bang -> String Source # showList :: [Bang] -> ShowS Source #
Show BndrVis Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> BndrVis -> ShowS Source # show :: BndrVis -> String Source # showList :: [BndrVis] -> ShowS Source #
Show Body Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> Body -> ShowS Source # show :: Body -> String Source # showList :: [Body] -> ShowS Source #
Show Bytes Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> Bytes -> ShowS Source # show :: Bytes -> String Source # showList :: [Bytes] -> ShowS Source #
Show Callconv Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> Callconv -> ShowS Source # show :: Callconv -> String Source # showList :: [Callconv] -> ShowS Source #
Show Clause Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> Clause -> ShowS Source # show :: Clause -> String Source # showList :: [Clause] -> ShowS Source #
Show Con Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> Con -> ShowS Source # show :: Con -> String Source # showList :: [Con] -> ShowS Source #
Show Dec Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> Dec -> ShowS Source # show :: Dec -> String Source # showList :: [Dec] -> ShowS Source #
Show DecidedStrictness Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> DecidedStrictness -> ShowS Source # show :: DecidedStrictness -> String Source # showList :: [DecidedStrictness] -> ShowS Source #
Show DerivClause Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> DerivClause -> ShowS Source # show :: DerivClause -> String Source # showList :: [DerivClause] -> ShowS Source #
Show DerivStrategy Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> DerivStrategy -> ShowS Source # show :: DerivStrategy -> String Source # showList :: [DerivStrategy] -> ShowS Source #
Show DocLoc Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> DocLoc -> ShowS Source # show :: DocLoc -> String Source # showList :: [DocLoc] -> ShowS Source #
Show Exp Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> Exp -> ShowS Source # show :: Exp -> String Source # showList :: [Exp] -> ShowS Source #
Show FamilyResultSig Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> FamilyResultSig -> ShowS Source # show :: FamilyResultSig -> String Source # showList :: [FamilyResultSig] -> ShowS Source #
Show Fixity Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> Fixity -> ShowS Source # show :: Fixity -> String Source # showList :: [Fixity] -> ShowS Source #
Show FixityDirection Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> FixityDirection -> ShowS Source # show :: FixityDirection -> String Source # showList :: [FixityDirection] -> ShowS Source #
Show Foreign Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> Foreign -> ShowS Source # show :: Foreign -> String Source # showList :: [Foreign] -> ShowS Source #
Show FunDep Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> FunDep -> ShowS Source # show :: FunDep -> String Source # showList :: [FunDep] -> ShowS Source #
Show Guard Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> Guard -> ShowS Source # show :: Guard -> String Source # showList :: [Guard] -> ShowS Source #
Show Info Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> Info -> ShowS Source # show :: Info -> String Source # showList :: [Info] -> ShowS Source #
Show InjectivityAnn Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> InjectivityAnn -> ShowS Source # show :: InjectivityAnn -> String Source # showList :: [InjectivityAnn] -> ShowS Source #
Show Inline Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> Inline -> ShowS Source # show :: Inline -> String Source # showList :: [Inline] -> ShowS Source #
Show Lit Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> Lit -> ShowS Source # show :: Lit -> String Source # showList :: [Lit] -> ShowS Source #
Show Loc Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> Loc -> ShowS Source # show :: Loc -> String Source # showList :: [Loc] -> ShowS Source #
Show Match Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> Match -> ShowS Source # show :: Match -> String Source # showList :: [Match] -> ShowS Source #
Show ModName Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> ModName -> ShowS Source # show :: ModName -> String Source # showList :: [ModName] -> ShowS Source #
Show Module Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> Module -> ShowS Source # show :: Module -> String Source # showList :: [Module] -> ShowS Source #
Show ModuleInfo Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> ModuleInfo -> ShowS Source # show :: ModuleInfo -> String Source # showList :: [ModuleInfo] -> ShowS Source #
Show Name Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> Name -> ShowS Source # show :: Name -> String Source # showList :: [Name] -> ShowS Source #
Show NameFlavour Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> NameFlavour -> ShowS Source # show :: NameFlavour -> String Source # showList :: [NameFlavour] -> ShowS Source #
Show NameSpace Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> NameSpace -> ShowS Source # show :: NameSpace -> String Source # showList :: [NameSpace] -> ShowS Source #
Show NamespaceSpecifier Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> NamespaceSpecifier -> ShowS Source # show :: NamespaceSpecifier -> String Source # showList :: [NamespaceSpecifier] -> ShowS Source #
Show OccName Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> OccName -> ShowS Source # show :: OccName -> String Source # showList :: [OccName] -> ShowS Source #
Show Overlap Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> Overlap -> ShowS Source # show :: Overlap -> String Source # showList :: [Overlap] -> ShowS Source #
Show Pat Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> Pat -> ShowS Source # show :: Pat -> String Source # showList :: [Pat] -> ShowS Source #
Show PatSynArgs Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> PatSynArgs -> ShowS Source # show :: PatSynArgs -> String Source # showList :: [PatSynArgs] -> ShowS Source #
Show PatSynDir Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> PatSynDir -> ShowS Source # show :: PatSynDir -> String Source # showList :: [PatSynDir] -> ShowS Source #
Show Phases Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> Phases -> ShowS Source # show :: Phases -> String Source # showList :: [Phases] -> ShowS Source #
Show PkgName Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> PkgName -> ShowS Source # show :: PkgName -> String Source # showList :: [PkgName] -> ShowS Source #
Show Pragma Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> Pragma -> ShowS Source # show :: Pragma -> String Source # showList :: [Pragma] -> ShowS Source #
Show Range Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> Range -> ShowS Source # show :: Range -> String Source # showList :: [Range] -> ShowS Source #
Show Role Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> Role -> ShowS Source # show :: Role -> String Source # showList :: [Role] -> ShowS Source #
Show RuleBndr Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> RuleBndr -> ShowS Source # show :: RuleBndr -> String Source # showList :: [RuleBndr] -> ShowS Source #
Show RuleMatch Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> RuleMatch -> ShowS Source # show :: RuleMatch -> String Source # showList :: [RuleMatch] -> ShowS Source #
Show Safety Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> Safety -> ShowS Source # show :: Safety -> String Source # showList :: [Safety] -> ShowS Source #
Show SourceStrictness Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> SourceStrictness -> ShowS Source # show :: SourceStrictness -> String Source # showList :: [SourceStrictness] -> ShowS Source #
Show SourceUnpackedness Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> SourceUnpackedness -> ShowS Source # show :: SourceUnpackedness -> String Source # showList :: [SourceUnpackedness] -> ShowS Source #
Show Specificity Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> Specificity -> ShowS Source # show :: Specificity -> String Source # showList :: [Specificity] -> ShowS Source #
Show Stmt Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> Stmt -> ShowS Source # show :: Stmt -> String Source # showList :: [Stmt] -> ShowS Source #
Show TyLit Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> TyLit -> ShowS Source # show :: TyLit -> String Source # showList :: [TyLit] -> ShowS Source #
Show TySynEqn Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> TySynEqn -> ShowS Source # show :: TySynEqn -> String Source # showList :: [TySynEqn] -> ShowS Source #
Show Type Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> Type -> ShowS Source # show :: Type -> String Source # showList :: [Type] -> ShowS Source #
Show TypeFamilyHead Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> TypeFamilyHead -> ShowS Source # show :: TypeFamilyHead -> String Source # showList :: [TypeFamilyHead] -> ShowS Source #
Show Lexeme Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Text.Read.Lex Methods showsPrec :: Int -> Lexeme -> ShowS Source # show :: Lexeme -> String Source # showList :: [Lexeme] -> ShowS Source #
Show Number Source #	Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Text.Read.Lex Methods showsPrec :: Int -> Number -> ShowS Source # show :: Number -> String Source # showList :: [Number] -> ShowS Source #
Show SomeChar Source #
Instance details Defined in GHC.Internal.TypeLits Methods showsPrec :: Int -> SomeChar -> ShowS Source # show :: SomeChar -> String Source # showList :: [SomeChar] -> ShowS Source #
Show SomeSymbol Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.TypeLits Methods showsPrec :: Int -> SomeSymbol -> ShowS Source # show :: SomeSymbol -> String Source # showList :: [SomeSymbol] -> ShowS Source #
Show SomeNat Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.TypeNats Methods showsPrec :: Int -> SomeNat -> ShowS Source # show :: SomeNat -> String Source # showList :: [SomeNat] -> ShowS Source #
Show KindRep Source #
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> KindRep -> ShowS Source # show :: KindRep -> String Source # showList :: [KindRep] -> ShowS Source #
Show Module Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 GeneralCategory Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Integer Source #	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 Source #	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 () Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> () -> ShowS Source # show :: () -> String Source # showList :: [()] -> ShowS Source #
Show Bool Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #
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) Source #
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 (ConstPtr a) Source #
Instance details Defined in GHC.Internal.Foreign.C.ConstPtr Methods showsPrec :: Int -> ConstPtr a -> ShowS Source # show :: ConstPtr a -> String Source # showList :: [ConstPtr a] -> ShowS Source #
Show (ForeignPtr a) Source #	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) Source #	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) Source #	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 b => Show (GenClosure b) Source #
Instance details Defined in GHC.Internal.Heap.Closures Methods showsPrec :: Int -> GenClosure b -> ShowS Source # show :: GenClosure b -> String Source # showList :: [GenClosure b] -> ShowS Source #
Show b => Show (GenStackField b) Source #
Instance details Defined in GHC.Internal.Heap.Closures Methods showsPrec :: Int -> GenStackField b -> ShowS Source # show :: GenStackField b -> String Source # showList :: [GenStackField b] -> ShowS Source #
Show b => Show (GenStackFrame b) Source #
Instance details Defined in GHC.Internal.Heap.Closures Methods showsPrec :: Int -> GenStackFrame b -> ShowS Source # show :: GenStackFrame b -> String Source # showList :: [GenStackFrame b] -> ShowS Source #
Show b => Show (GenStgStackClosure b) Source #
Instance details Defined in GHC.Internal.Heap.Closures Methods showsPrec :: Int -> GenStgStackClosure b -> ShowS Source # show :: GenStgStackClosure b -> String Source # showList :: [GenStgStackClosure b] -> ShowS Source #
Show (FunPtr a) Source #	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) Source #	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) Source #	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 flag => Show (TyVarBndr flag) Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods showsPrec :: Int -> TyVarBndr flag -> ShowS Source # show :: TyVarBndr flag -> String Source # showList :: [TyVarBndr flag] -> ShowS Source #
Show (SChar c) Source #	Since: base-4.18.0.0
Instance details Defined in GHC.Internal.TypeLits Methods showsPrec :: Int -> SChar c -> ShowS Source # show :: SChar c -> String Source # showList :: [SChar c] -> ShowS Source #
Show (SSymbol s) Source #	Since: base-4.18.0.0
Instance details Defined in GHC.Internal.TypeLits Methods showsPrec :: Int -> SSymbol s -> ShowS Source # show :: SSymbol s -> String Source # showList :: [SSymbol s] -> ShowS Source #
Show (SNat n) Source #	Since: base-4.18.0.0
Instance details Defined in GHC.Internal.TypeNats Methods showsPrec :: Int -> SNat n -> ShowS Source # show :: SNat n -> String Source # showList :: [SNat n] -> ShowS Source #
Show a => Show (Maybe a) Source #	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) Source #	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] Source #	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) Source #	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) Source #	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 #
(Ix a, Show a, Show b) => Show (Array a b) Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Arr Methods showsPrec :: Int -> Array a b -> ShowS Source # show :: Array a b -> String Source # showList :: [Array a b] -> ShowS Source #
(Show a, Show b) => Show (Either a b) Source #	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) Source #	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) Source #
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) Source #	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 (UAddr p) Source #	Since: base-4.21.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> UAddr p -> ShowS Source # show :: UAddr p -> String Source # showList :: [UAddr p] -> ShowS Source #
Show (V1 p) Source #	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) Source #	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) Source #	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 -> b) Source #	Since: base-2.1
Instance details Defined in Text.Show.Functions Methods showsPrec :: Int -> (a -> b) -> ShowS Source # show :: (a -> b) -> String Source # showList :: [a -> b] -> ShowS Source #
Show a => Show (Const a b) Source #	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) Source #	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) Source #	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 (Coercion a b) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Type.Coercion Methods showsPrec :: Int -> Coercion a b -> ShowS Source # show :: Coercion a b -> String Source # showList :: [Coercion a b] -> ShowS Source #
Show (a :~: b) Source #	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 (OrderingI a b) Source #
Instance details Defined in GHC.Internal.Data.Type.Ord Methods showsPrec :: Int -> OrderingI a b -> ShowS Source # show :: OrderingI a b -> String Source # showList :: [OrderingI a b] -> ShowS Source #
Show (f p) => Show (Rec1 f p) Source #	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) Source #	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) Source #	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) Source #
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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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 #

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.

Converting from `String`

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).

class Read a where Source #

Parsing of Strings, producing values.

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

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

For example, given the declarations

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

the derived instance of Read in Haskell 2010 is equivalent to

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

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

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

          where app_prec = 10
                up_prec = 5

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

The derived instance in GHC is equivalent to

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

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

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

          where app_prec = 10
                up_prec = 5

        readListPrec = readListPrecDefault

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

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

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

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

Minimal complete definition

readsPrec | readPrec

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.

Instances

Instances details

Read GCDetails Source #	Since: base-4.10.0.0
Instance details Defined in GHC.Stats Methods readsPrec :: Int -> ReadS GCDetails Source # readList :: ReadS [GCDetails] Source # readPrec :: ReadPrec GCDetails Source # readListPrec :: ReadPrec [GCDetails] Source #
Read RTSStats Source #	Since: base-4.10.0.0
Instance details Defined in GHC.Stats Methods readsPrec :: Int -> ReadS RTSStats Source # readList :: ReadS [RTSStats] Source # readPrec :: ReadPrec RTSStats Source # readListPrec :: ReadPrec [RTSStats] Source #
Read Void Source #	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 ByteOrder Source #	Since: base-4.11.0.0
Instance details Defined in GHC.Internal.ByteOrder Methods readsPrec :: Int -> ReadS ByteOrder Source # readList :: ReadS [ByteOrder] Source # readPrec :: ReadPrec ByteOrder Source # readListPrec :: ReadPrec [ByteOrder] Source #
Read All Source #	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 Source #	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 Source #	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 CBool Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CBool Source # readList :: ReadS [CBool] Source # readPrec :: ReadPrec CBool Source # readListPrec :: ReadPrec [CBool] Source #
Read CChar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CChar Source # readList :: ReadS [CChar] Source # readPrec :: ReadPrec CChar Source # readListPrec :: ReadPrec [CChar] Source #
Read CClock Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CClock Source # readList :: ReadS [CClock] Source # readPrec :: ReadPrec CClock Source # readListPrec :: ReadPrec [CClock] Source #
Read CDouble Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CDouble Source # readList :: ReadS [CDouble] Source # readPrec :: ReadPrec CDouble Source # readListPrec :: ReadPrec [CDouble] Source #
Read CFloat Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CFloat Source # readList :: ReadS [CFloat] Source # readPrec :: ReadPrec CFloat Source # readListPrec :: ReadPrec [CFloat] Source #
Read CInt Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CInt Source # readList :: ReadS [CInt] Source # readPrec :: ReadPrec CInt Source # readListPrec :: ReadPrec [CInt] Source #
Read CIntMax Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CIntMax Source # readList :: ReadS [CIntMax] Source # readPrec :: ReadPrec CIntMax Source # readListPrec :: ReadPrec [CIntMax] Source #
Read CIntPtr Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CIntPtr Source # readList :: ReadS [CIntPtr] Source # readPrec :: ReadPrec CIntPtr Source # readListPrec :: ReadPrec [CIntPtr] Source #
Read CLLong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CLLong Source # readList :: ReadS [CLLong] Source # readPrec :: ReadPrec CLLong Source # readListPrec :: ReadPrec [CLLong] Source #
Read CLong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CLong Source # readList :: ReadS [CLong] Source # readPrec :: ReadPrec CLong Source # readListPrec :: ReadPrec [CLong] Source #
Read CPtrdiff Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CPtrdiff Source # readList :: ReadS [CPtrdiff] Source # readPrec :: ReadPrec CPtrdiff Source # readListPrec :: ReadPrec [CPtrdiff] Source #
Read CSChar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CSChar Source # readList :: ReadS [CSChar] Source # readPrec :: ReadPrec CSChar Source # readListPrec :: ReadPrec [CSChar] Source #
Read CSUSeconds Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CSUSeconds Source # readList :: ReadS [CSUSeconds] Source # readPrec :: ReadPrec CSUSeconds Source # readListPrec :: ReadPrec [CSUSeconds] Source #
Read CShort Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CShort Source # readList :: ReadS [CShort] Source # readPrec :: ReadPrec CShort Source # readListPrec :: ReadPrec [CShort] Source #
Read CSigAtomic Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CSigAtomic Source # readList :: ReadS [CSigAtomic] Source # readPrec :: ReadPrec CSigAtomic Source # readListPrec :: ReadPrec [CSigAtomic] Source #
Read CSize Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CSize Source # readList :: ReadS [CSize] Source # readPrec :: ReadPrec CSize Source # readListPrec :: ReadPrec [CSize] Source #
Read CTime Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CTime Source # readList :: ReadS [CTime] Source # readPrec :: ReadPrec CTime Source # readListPrec :: ReadPrec [CTime] Source #
Read CUChar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CUChar Source # readList :: ReadS [CUChar] Source # readPrec :: ReadPrec CUChar Source # readListPrec :: ReadPrec [CUChar] Source #
Read CUInt Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CUInt Source # readList :: ReadS [CUInt] Source # readPrec :: ReadPrec CUInt Source # readListPrec :: ReadPrec [CUInt] Source #
Read CUIntMax Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CUIntMax Source # readList :: ReadS [CUIntMax] Source # readPrec :: ReadPrec CUIntMax Source # readListPrec :: ReadPrec [CUIntMax] Source #
Read CUIntPtr Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CUIntPtr Source # readList :: ReadS [CUIntPtr] Source # readPrec :: ReadPrec CUIntPtr Source # readListPrec :: ReadPrec [CUIntPtr] Source #
Read CULLong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CULLong Source # readList :: ReadS [CULLong] Source # readPrec :: ReadPrec CULLong Source # readListPrec :: ReadPrec [CULLong] Source #
Read CULong Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CULong Source # readList :: ReadS [CULong] Source # readPrec :: ReadPrec CULong Source # readListPrec :: ReadPrec [CULong] Source #
Read CUSeconds Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CUSeconds Source # readList :: ReadS [CUSeconds] Source # readPrec :: ReadPrec CUSeconds Source # readListPrec :: ReadPrec [CUSeconds] Source #
Read CUShort Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CUShort Source # readList :: ReadS [CUShort] Source # readPrec :: ReadPrec CUShort Source # readListPrec :: ReadPrec [CUShort] Source #
Read CWchar Source #
Instance details Defined in GHC.Internal.Foreign.C.Types Methods readsPrec :: Int -> ReadS CWchar Source # readList :: ReadS [CWchar] Source # readPrec :: ReadPrec CWchar Source # readListPrec :: ReadPrec [CWchar] Source #
Read IntPtr Source #
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 Source #
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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #
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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 GCDetails Source #	Since: base-4.10.0.0
Instance details Defined in GHC.Internal.Stats Methods readsPrec :: Int -> ReadS GCDetails Source # readList :: ReadS [GCDetails] Source # readPrec :: ReadPrec GCDetails Source # readListPrec :: ReadPrec [GCDetails] Source #
Read RTSStats Source #	Since: base-4.10.0.0
Instance details Defined in GHC.Internal.Stats Methods readsPrec :: Int -> ReadS RTSStats Source # readList :: ReadS [RTSStats] Source # readPrec :: ReadPrec RTSStats Source # readListPrec :: ReadPrec [RTSStats] Source #
Read CBlkCnt Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #
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 Source #	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 SomeChar Source #
Instance details Defined in GHC.Internal.TypeLits Methods readsPrec :: Int -> ReadS SomeChar Source # readList :: ReadS [SomeChar] Source # readPrec :: ReadPrec SomeChar Source # readListPrec :: ReadPrec [SomeChar] Source #
Read SomeSymbol Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.TypeLits Methods readsPrec :: Int -> ReadS SomeSymbol Source # readList :: ReadS [SomeSymbol] Source # readPrec :: ReadPrec SomeSymbol Source # readListPrec :: ReadPrec [SomeSymbol] Source #
Read SomeNat Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.TypeNats Methods readsPrec :: Int -> ReadS SomeNat Source # readList :: ReadS [SomeNat] Source # readPrec :: ReadPrec SomeNat Source # readListPrec :: ReadPrec [SomeNat] Source #
Read Ordering Source #	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 GeneralCategory Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Integer Source #	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 Source #	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 () Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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 Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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] Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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 #
Coercible a b => Read (Coercion a b) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Type.Coercion Methods readsPrec :: Int -> ReadS (Coercion a b) Source # readList :: ReadS [Coercion a b] Source # readPrec :: ReadPrec (Coercion a b) Source # readListPrec :: ReadPrec [Coercion a b] Source #
a ~ b => Read (a :~: b) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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) Source #	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 #

reads :: Read a => ReadS a Source #

equivalent to readsPrec with a precedence of 0.

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.

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

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

Basic Input and output

data IO a Source #

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

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

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

Instances

Instances details

Alternative IO Source #	Takes the first non-throwing `IO` action's result. `empty` throws an exception. Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods empty :: IO a Source # (<\|>) :: IO a -> IO a -> IO a Source # some :: IO a -> IO [a] Source # many :: IO a -> IO [a] Source #
Applicative IO Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Base Methods pure :: a -> IO a Source # (<>) :: IO (a -> b) -> IO a -> IO b Source # liftA2 :: (a -> b -> c) -> IO a -> IO b -> IO c Source # (>) :: IO a -> IO b -> IO b Source # (<*) :: IO a -> IO b -> IO a Source #
Functor IO Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Base Methods fmap :: (a -> b) -> IO a -> IO b Source # (<$) :: a -> IO b -> IO a Source #
Monad IO Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Base Methods (>>=) :: IO a -> (a -> IO b) -> IO b Source # (>>) :: IO a -> IO b -> IO b Source # return :: a -> IO a Source #
MonadPlus IO Source #	Takes the first non-throwing `IO` action's result. `mzero` throws an exception. Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods mzero :: IO a Source # mplus :: IO a -> IO a -> IO a Source #
MonadFail IO Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Control.Monad.Fail Methods fail :: HasCallStack => String -> IO a Source #
MonadFix IO Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Control.Monad.Fix Methods mfix :: (a -> IO a) -> IO a Source #
MonadIO IO Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Control.Monad.IO.Class Methods liftIO :: IO a -> IO a Source #
GHCiSandboxIO IO Source #	Since: base-4.4.0.0
Instance details Defined in GHC.Internal.GHCi Methods ghciStepIO :: IO a -> IO a Source #
Quasi IO Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods qNewName :: String -> IO Name Source # qReport :: Bool -> String -> IO () Source # qRecover :: IO a -> IO a -> IO a Source # qLookupName :: Bool -> String -> IO (Maybe Name) Source # qReify :: Name -> IO Info Source # qReifyFixity :: Name -> IO (Maybe Fixity) Source # qReifyType :: Name -> IO Type Source # qReifyInstances :: Name -> [Type] -> IO [Dec] Source # qReifyRoles :: Name -> IO [Role] Source # qReifyAnnotations :: Data a => AnnLookup -> IO [a] Source # qReifyModule :: Module -> IO ModuleInfo Source # qReifyConStrictness :: Name -> IO [DecidedStrictness] Source # qLocation :: IO Loc Source # qRunIO :: IO a -> IO a Source # qGetPackageRoot :: IO FilePath Source # qAddDependentFile :: FilePath -> IO () Source # qAddTempFile :: String -> IO FilePath Source # qAddTopDecls :: [Dec] -> IO () Source # qAddForeignFilePath :: ForeignSrcLang -> String -> IO () Source # qAddModFinalizer :: Q () -> IO () Source # qAddCorePlugin :: String -> IO () Source # qGetQ :: Typeable a => IO (Maybe a) Source # qPutQ :: Typeable a => a -> IO () Source # qIsExtEnabled :: Extension -> IO Bool Source # qExtsEnabled :: IO [Extension] Source # qPutDoc :: DocLoc -> String -> IO () Source # qGetDoc :: DocLoc -> IO (Maybe String) Source #
Quote IO Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods newName :: String -> IO Name Source #
a ~ () => HPrintfType (IO a) Source #	Since: base-4.7.0.0
Instance details Defined in Text.Printf Methods hspr :: Handle -> String -> [UPrintf] -> IO a
a ~ () => PrintfType (IO a) Source #	Since: base-4.7.0.0
Instance details Defined in Text.Printf Methods spr :: String -> [UPrintf] -> IO a
Monoid a => Monoid (IO a) Source #	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 => Semigroup (IO a) Source #	Since: base-4.10.0.0
Instance details Defined in GHC.Internal.Base Methods (<>) :: IO a -> IO a -> IO a Source # sconcat :: NonEmpty (IO a) -> IO a Source # stimes :: Integral b => b -> IO a -> IO a Source #

Simple I/O operations

Output functions

putChar :: Char -> IO () Source #

Write a character to the standard output device

putChar is implemented as hPutChar stdout.

This operation may fail with the same errors as hPutChar.

Examples

Expand

Note that the following do not put a newline.

>>> putChar 'x'
x

>>> putChar '\0042'
*

putStr :: String -> IO () Source #

Write a string to the standard output device

putStr is implemented as hPutStr stdout.

This operation may fail with the same errors, and has the same issues with concurrency, as hPutStr!

Examples

Expand

Note that the following do not put a newline.

>>> putStr "Hello, World!"
Hello, World!

>>> putStr "\0052\0042\0050"
4*2

putStrLn :: String -> IO () Source #

The same as putStr, but adds a newline character.

This operation may fail with the same errors, and has the same issues with concurrency, as hPutStr!

print :: Show a => a -> IO () Source #

The print function outputs a value of any printable type to the standard output device. Printable types are those that are instances of class Show; print converts values to strings for output using the show operation and adds a newline.

print is implemented as putStrLn . show

This operation may fail with the same errors, and has the same issues with concurrency, as hPutStr!

Examples

Expand

>>> print [1, 2, 3]
[1,2,3]

Be careful when using print for outputting strings, as this will invoke show and cause strings to be printed with quotation marks and non-ascii symbols escaped.

>>> print "λ :D"
"\995 :D"

A program to print the first 8 integers and their powers of 2 could be written as:

>>> print [(n, 2^n) | n <- [0..8]]
[(0,1),(1,2),(2,4),(3,8),(4,16),(5,32),(6,64),(7,128),(8,256)]

Input functions

getChar :: IO Char Source #

Read a single character from the standard input device.

getChar is implemented as hGetChar stdin.

This operation may fail with the same errors as hGetChar.

Examples

Expand

>>> getChar
a'a'

>>> getChar
>
'\n'

getLine :: IO String Source #

Read a line from the standard input device.

getLine is implemented as hGetLine stdin.

This operation may fail with the same errors as hGetLine.

Examples

Expand

>>> getLine
> Hello World!
"Hello World!"

>>> getLine
>
""

getContents :: IO String Source #

The getContents operation returns all user input as a single string, which is read lazily as it is needed.

getContents is implemented as hGetContents stdin.

This operation may fail with the same errors as hGetContents.

Examples

Expand

>>> getContents >>= putStr
> aaabbbccc :D
aaabbbccc :D
> I hope you have a great day
I hope you have a great day
> ^D

>>> getContents >>= print . length
> abc
> <3
> def ^D
11

interact :: (String -> String) -> IO () Source #

interact f takes the entire input from stdin and applies f to it. The resulting string is written to the stdout device.

Note that this operation is lazy, which allows to produce output even before all input has been consumed.

This operation may fail with the same errors as getContents and putStr.

Examples

Expand

>>> interact (\str -> str ++ str)
> hi :)
hi :)
> ^D
hi :)

>>> interact (const ":D")
:D

>>> interact (show . words)
> hello world!
> I hope you have a great day
> ^D
["hello","world!","I","hope","you","have","a","great","day"]

Files

type FilePath = String Source #

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

readFile :: FilePath -> IO String Source #

The readFile function reads a file and returns the contents of the file as a string.

The file is read lazily, on demand, as with getContents.

This operation may fail with the same errors as hGetContents and openFile.

Examples

Expand

>>> readFile "~/hello_world"
"Greetings!"

>>> take 5 <$> readFile "/dev/zero"
"\NUL\NUL\NUL\NUL\NUL"

writeFile :: FilePath -> String -> IO () Source #

The computation writeFile file str function writes the string str, to the file file.

This operation may fail with the same errors as hPutStr and withFile.

Examples

Expand

>>> writeFile "hello" "world" >> readFile "hello"
"world"

>>> writeFile "~/" "D:"
*** Exception: ~/: withFile: inappropriate type (Is a directory)

appendFile :: FilePath -> String -> IO () Source #

The computation appendFile file str function appends the string str, to the file file.

Note that writeFile and appendFile write a literal string to a file. To write a value of any printable type, as with print, use the show function to convert the value to a string first.

This operation may fail with the same errors as hPutStr and withFile.

Examples

Expand

The following example could be more efficently written by acquiring a handle instead with openFile and using the computations capable of writing to handles such as hPutStr.

>>> let fn = "hello_world"
>>> in writeFile fn "hello" >> appendFile fn " world!" >> (readFile fn >>= putStrLn)
"hello world!"

>>> let fn = "foo"; output = readFile' fn >>= putStrLn
>>> in output >> appendFile fn (show [1,2,3]) >> output
this is what's in the file
this is what's in the file[1,2,3]

readIO :: Read a => String -> IO a Source #

The readIO function is similar to read except that it signals parse failure to the IO monad instead of terminating the program.

This operation may fail with:

isUserError if there is no unambiguous parse.

Examples

Expand

>>> fmap (+ 1) (readIO "1")
2

>>> readIO "not quite ()" :: IO ()
*** Exception: user error (Prelude.readIO: no parse)

readLn :: Read a => IO a Source #

The readLn function combines getLine and readIO.

This operation may fail with the same errors as getLine and readIO.

Examples

Expand

>>> fmap (+ 5) readLn
> 25
30

>>> readLn :: IO String
> this is not a string literal
*** Exception: user error (Prelude.readIO: no parse)

Exception handling in the I/O monad

type IOError = IOException Source #

The Haskell 2010 type for exceptions in the IO monad. Any I/O operation may raise an IOError instead of returning a result. For a more general type of exception, including also those that arise in pure code, see Exception.

In Haskell 2010, this is an opaque type.

ioError :: HasCallStack => IOError -> IO a Source #

Raise an IOError in the IO monad.

userError :: String -> IOError Source #

Construct an IOError value with a string describing the error. The fail method of the IO instance of the Monad class raises a userError, thus:

instance Monad IO where
  ...
  fail s = ioError (userError s)

The equality types

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.