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

Standard types, classes and related functions
List operations
Converting to and from String
- Converting to String
- Converting from String
Basic Input and output
- Simple I/O operations
- Exception handling in the I/O monad

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, maxBound :: a
data Int
data Integer
data Float
data Double
type Rational = Ratio Integer
data Word
class Num a where
- (+), (-), (*) :: 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, log, sqrt :: a -> a
- (**), logBase :: a -> a -> a
- sin, cos, tan :: a -> a
- asin, acos, atan :: a -> a
- sinh, cosh, tanh :: a -> a
- asinh, acosh, 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 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 where
- pure :: a -> f a
- (<*>) :: f (a -> b) -> f a -> f b
- (*>) :: f a -> f b -> f b
- (<*) :: f a -> f b -> f a
class Applicative m => Monad m where
- (>>=) :: forall a b. m a -> (a -> m b) -> m b
- (>>) :: forall a b. m a -> m b -> m b
- return :: a -> m a
class Monad m => MonadFail m where
- fail :: 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 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
- foldr1 :: (a -> a -> a) -> t a -> a
- foldl1 :: (a -> a -> a) -> t a -> a
- elem :: Eq a => a -> t a -> Bool
- maximum :: forall a. Ord a => t a -> a
- minimum :: forall a. Ord a => t a -> a
- sum :: Num a => t a -> a
- product :: Num a => t a -> a
class (Functor t, Foldable t) => Traversable t 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
($) :: forall r a (b :: TYPE r). (a -> b) -> a -> b
until :: (a -> Bool) -> (a -> a) -> a -> a
asTypeOf :: a -> a -> a
error :: forall (r :: RuntimeRep). forall (a :: TYPE r). HasCallStack => [Char] -> a
errorWithoutStackTrace :: forall (r :: RuntimeRep). forall (a :: TYPE r). [Char] -> a
undefined :: forall (r :: RuntimeRep). forall (a :: TYPE r). HasCallStack => a
seq :: forall {r :: RuntimeRep} a (b :: TYPE r). a -> b -> b
($!) :: forall r a (b :: TYPE r). (a -> b) -> a -> b
map :: (a -> b) -> [a] -> [b]
(++) :: [a] -> [a] -> [a]
filter :: (a -> Bool) -> [a] -> [a]
head :: [a] -> a
last :: [a] -> a
tail :: [a] -> [a]
init :: [a] -> [a]
(!!) :: [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 :: [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 :: IOError -> IO a
userError :: String -> IOError

Standard types, classes and related functions

Basic data types

data Bool Source #

Constructors

False
True

Instances

Instances details

Data Bool Source #	Since: base-4.0.0.0
Instance details Defined in 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 #
Storable Bool Source #	Since: base-2.1
Instance details Defined in 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 #
Bits Bool Source #	Interpret `Bool` as 1-bit bit-field Since: base-4.7.0.0
Instance details Defined in GHC.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.Bits Methods finiteBitSize :: Bool -> Int Source # countLeadingZeros :: Bool -> Int Source # countTrailingZeros :: Bool -> Int Source #
Bounded Bool Source #	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: Bool Source # maxBound :: Bool Source #
Enum Bool Source #	Since: base-2.1
Instance details Defined in GHC.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 #
Generic Bool Source #
Instance details Defined in GHC.Generics Associated Types type Rep Bool :: Type -> Type Source # Methods from :: Bool -> Rep Bool x Source # to :: Rep Bool x -> Bool Source #
Ix Bool Source #	Since: base-2.1
Instance details Defined in GHC.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.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.Show Methods showsPrec :: Int -> Bool -> ShowS Source # show :: Bool -> String Source # showList :: [Bool] -> ShowS Source #
Eq Bool
Instance details Defined in GHC.Classes Methods (==) :: Bool -> Bool -> Bool Source # (/=) :: Bool -> Bool -> Bool Source #
Ord Bool
Instance details Defined in GHC.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 #
type Rep Bool Source #	Since: base-4.6.0.0
Instance details Defined in GHC.Generics type Rep Bool = D1 ('MetaData "Bool" "GHC.Types" "ghc-prim" 'False) (C1 ('MetaCons "False" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "True" 'PrefixI 'False) (U1 :: Type -> Type))

(&&) :: 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

MonadFail Maybe Source #	Since: base-4.9.0.0
Instance details Defined in Control.Monad.Fail Methods fail :: String -> Maybe a Source #
MonadFix Maybe Source #	Since: base-2.1
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> Maybe a) -> Maybe a Source #
MonadZip Maybe Source #	Since: base-4.8.0.0
Instance details Defined in 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 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 #
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 #
Traversable Maybe Source #	Since: base-2.1
Instance details Defined in 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 #
Alternative Maybe Source #	Since: base-2.1
Instance details Defined in GHC.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.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.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.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 #	Since: base-2.1
Instance details Defined in GHC.Base Methods mzero :: Maybe a Source # mplus :: Maybe a -> Maybe a -> Maybe a Source #
Generic1 Maybe Source #
Instance details Defined in GHC.Generics Associated Types type Rep1 Maybe :: k -> Type Source # Methods from1 :: forall (a :: k). Maybe a -> Rep1 Maybe a Source # to1 :: forall (a :: k). Rep1 Maybe a -> Maybe a Source #
Data a => Data (Maybe a) Source #	Since: base-4.0.0.0
Instance details Defined in 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 #
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.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.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 #
Generic (Maybe a) Source #
Instance details Defined in GHC.Generics Associated Types type Rep (Maybe a) :: Type -> Type Source # Methods from :: Maybe a -> Rep (Maybe a) x Source # to :: Rep (Maybe a) x -> Maybe a Source #
Read a => Read (Maybe a) Source #	Since: base-2.1
Instance details Defined in GHC.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.Show Methods showsPrec :: Int -> Maybe a -> ShowS Source # show :: Maybe a -> String Source # showList :: [Maybe a] -> ShowS Source #
Eq a => Eq (Maybe a) Source #	Since: base-2.1
Instance details Defined in GHC.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.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 #
type Rep1 Maybe Source #	Since: base-4.6.0.0
Instance details Defined in GHC.Generics type Rep1 Maybe = D1 ('MetaData "Maybe" "GHC.Maybe" "base" 'False) (C1 ('MetaCons "Nothing" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "Just" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep (Maybe a) Source #	Since: base-4.6.0.0
Instance details Defined in GHC.Generics type Rep (Maybe a) = D1 ('MetaData "Maybe" "GHC.Maybe" "base" 'False) (C1 ('MetaCons "Nothing" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "Just" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

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 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 #
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.Generics Associated Types type Rep1 (Either a) :: k -> Type Source # Methods from1 :: forall (a0 :: k). Either a a0 -> Rep1 (Either a) a0 Source # to1 :: forall (a0 :: k). Rep1 (Either a) a0 -> Either a a0 Source #
MonadFix (Either e) Source #	Since: base-4.3.0.0
Instance details Defined in 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 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 #
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 #
Traversable (Either a) Source #	Since: base-4.7.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a0 -> f b) -> Either a a0 -> f (Either a b) Source # sequenceA :: Applicative f => Either a (f a0) -> f (Either a a0) Source # mapM :: Monad m => (a0 -> m b) -> Either a a0 -> m (Either a b) Source # sequence :: Monad m => Either a (m a0) -> m (Either a a0) Source #
Applicative (Either e) Source #	Since: base-3.0
Instance details Defined in 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 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 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 #
(Data a, Data b) => Data (Either a b) Source #	Since: base-4.0.0.0
Instance details Defined in 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 #
Semigroup (Either a b) Source #	Since: base-4.9.0.0
Instance details Defined in 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 #
Generic (Either a b) Source #
Instance details Defined in GHC.Generics Associated Types type Rep (Either a b) :: Type -> Type Source # 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 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 Data.Either Methods showsPrec :: Int -> Either a b -> ShowS Source # show :: Either a b -> String Source # showList :: [Either a b] -> ShowS Source #
(Eq a, Eq b) => Eq (Either a b) Source #	Since: base-2.1
Instance details Defined in 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 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 #
type Rep1 (Either a :: Type -> Type) Source #	Since: base-4.6.0.0
Instance details Defined in GHC.Generics type Rep1 (Either a :: Type -> Type) = D1 ('MetaData "Either" "Data.Either" "base" '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.Generics type Rep (Either a b) = D1 ('MetaData "Either" "Data.Either" "base" '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

Data Ordering Source #	Since: base-4.0.0.0
Instance details Defined in 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 #
Monoid Ordering Source #	Since: base-2.1
Instance details Defined in GHC.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.Base Methods (<>) :: Ordering -> Ordering -> Ordering Source # sconcat :: NonEmpty Ordering -> Ordering Source # stimes :: Integral b => b -> Ordering -> Ordering Source #
Bounded Ordering Source #	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: Ordering Source # maxBound :: Ordering Source #
Enum Ordering Source #	Since: base-2.1
Instance details Defined in GHC.Enum Methods succ :: Ordering -> Ordering Source # pred :: Ordering -> Ordering Source # toEnum :: Int -> Ordering Source # fromEnum :: Ordering -> Int Source # enumFrom :: Ordering -> [Ordering] Source # enumFromThen :: Ordering -> Ordering -> [Ordering] Source # enumFromTo :: Ordering -> Ordering -> [Ordering] Source # enumFromThenTo :: Ordering -> Ordering -> Ordering -> [Ordering] Source #
Generic Ordering Source #
Instance details Defined in GHC.Generics Associated Types type Rep Ordering :: Type -> Type Source # 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.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.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.Show Methods showsPrec :: Int -> Ordering -> ShowS Source # show :: Ordering -> String Source # showList :: [Ordering] -> ShowS Source #
Eq Ordering
Instance details Defined in GHC.Classes Methods (==) :: Ordering -> Ordering -> Bool Source # (/=) :: Ordering -> Ordering -> Bool Source #
Ord Ordering
Instance details Defined in GHC.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 #
type Rep Ordering Source #	Since: base-4.6.0.0
Instance details Defined in GHC.Generics type Rep Ordering = D1 ('MetaData "Ordering" "GHC.Types" "ghc-prim" 'False) (C1 ('MetaCons "LT" 'PrefixI 'False) (U1 :: Type -> Type) :+: (C1 ('MetaCons "EQ" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "GT" 'PrefixI 'False) (U1 :: Type -> Type)))

data Char Source #

The character type Char is an enumeration whose values represent Unicode (or equivalently ISO/IEC 10646) code points (i.e. characters, see http://www.unicode.org/ for details). This set extends the ISO 8859-1 (Latin-1) character set (the first 256 characters), which is itself an extension of the ASCII character set (the first 128 characters). A character literal in Haskell has type Char.

To convert a Char to or from the corresponding Int value defined by Unicode, use toEnum and fromEnum from the Enum class respectively (or equivalently ord and chr).

Instances

Instances details

Data Char Source #	Since: base-4.0.0.0
Instance details Defined in 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 #
Storable Char Source #	Since: base-2.1
Instance details Defined in 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 #
Bounded Char Source #	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: Char Source # maxBound :: Char Source #
Enum Char Source #	Since: base-2.1
Instance details Defined in GHC.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 #
Ix Char Source #	Since: base-2.1
Instance details Defined in GHC.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.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.Show Methods showsPrec :: Int -> Char -> ShowS Source # show :: Char -> String Source # showList :: [Char] -> ShowS Source #
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
Instance details Defined in GHC.Classes Methods (==) :: Char -> Char -> Bool Source # (/=) :: Char -> Char -> Bool Source #
Ord Char
Instance details Defined in GHC.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 #
Generic1 (URec Char :: k -> Type) Source #
Instance details Defined in GHC.Generics Associated Types type Rep1 (URec Char) :: k -> Type Source # Methods from1 :: forall (a :: k0). URec Char a -> Rep1 (URec Char) a Source # to1 :: forall (a :: k0). Rep1 (URec Char) a -> URec Char a Source #
Foldable (UChar :: TYPE LiftedRep -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => UChar m -> m Source # foldMap :: Monoid m => (a -> m) -> UChar a -> m Source # foldMap' :: Monoid m => (a -> m) -> UChar a -> m Source # foldr :: (a -> b -> b) -> b -> UChar a -> b Source # foldr' :: (a -> b -> b) -> b -> UChar a -> b Source # foldl :: (b -> a -> b) -> b -> UChar a -> b Source # foldl' :: (b -> a -> b) -> b -> UChar a -> b Source # foldr1 :: (a -> a -> a) -> UChar a -> a Source # foldl1 :: (a -> a -> a) -> UChar a -> a Source # toList :: UChar a -> [a] Source # null :: UChar a -> Bool Source # length :: UChar a -> Int Source # elem :: Eq a => a -> UChar a -> Bool Source # maximum :: Ord a => UChar a -> a Source # minimum :: Ord a => UChar a -> a Source # 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 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 LiftedRep -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec Char a -> URec Char b Source # (<$) :: a -> URec Char b -> URec Char a Source #
Generic (URec Char p) Source #
Instance details Defined in GHC.Generics Associated Types type Rep (URec Char p) :: Type -> Type Source # 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.Generics Methods showsPrec :: Int -> URec Char p -> ShowS Source # show :: URec Char p -> String Source # showList :: [URec Char p] -> ShowS Source #
Eq (URec Char p) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.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.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 #
data URec Char (p :: k) Source #	Used for marking occurrences of `Char#` Since: base-4.9.0.0
Instance details Defined in GHC.Generics data URec Char (p :: k) = UChar { uChar# :: Char# }
type Compare (a :: Char) (b :: Char) Source #
Instance details Defined in 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.Generics type Rep1 (URec Char :: k -> Type) = D1 ('MetaData "URec" "GHC.Generics" "base" '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.Generics type Rep (URec Char p) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UChar" 'PrefixI 'True) (S1 ('MetaSel ('Just "uChar#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UChar :: Type -> Type)))

type String = [Char] Source #

A String is a list of characters. String constants in Haskell are values of type String.

See Data.List for operations on lists.

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 #

curry converts 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: either == or /=.

Minimal complete definition

(==) | (/=)

Methods

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

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

Instances

Instances details

Eq Constr Source #	Equality of constructors Since: base-4.0.0.0
Instance details Defined in Data.Data Methods (==) :: Constr -> Constr -> Bool Source # (/=) :: Constr -> Constr -> Bool Source #
Eq ConstrRep Source #	Since: base-4.0.0.0
Instance details Defined in Data.Data Methods (==) :: ConstrRep -> ConstrRep -> Bool Source # (/=) :: ConstrRep -> ConstrRep -> Bool Source #
Eq DataRep Source #	Since: base-4.0.0.0
Instance details Defined in Data.Data Methods (==) :: DataRep -> DataRep -> Bool Source # (/=) :: DataRep -> DataRep -> Bool Source #
Eq Fixity Source #	Since: base-4.0.0.0
Instance details Defined in Data.Data Methods (==) :: Fixity -> Fixity -> Bool Source # (/=) :: Fixity -> Fixity -> Bool Source #
Eq All Source #	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods (==) :: All -> All -> Bool Source # (/=) :: All -> All -> Bool Source #
Eq Any Source #	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods (==) :: Any -> Any -> Bool Source # (/=) :: Any -> Any -> Bool Source #
Eq SomeTypeRep Source #
Instance details Defined in Data.Typeable.Internal Methods (==) :: SomeTypeRep -> SomeTypeRep -> Bool Source # (/=) :: SomeTypeRep -> SomeTypeRep -> Bool Source #
Eq Unique Source #
Instance details Defined in Data.Unique Methods (==) :: Unique -> Unique -> Bool Source # (/=) :: Unique -> Unique -> Bool Source #
Eq Version Source #	Since: base-2.1
Instance details Defined in Data.Version Methods (==) :: Version -> Version -> Bool Source # (/=) :: Version -> Version -> Bool Source #
Eq Void Source #	Since: base-4.8.0.0
Instance details Defined in Data.Void Methods (==) :: Void -> Void -> Bool Source # (/=) :: Void -> Void -> Bool Source #
Eq Errno Source #	Since: base-2.1
Instance details Defined in Foreign.C.Error Methods (==) :: Errno -> Errno -> Bool Source # (/=) :: Errno -> Errno -> Bool Source #
Eq CBool Source #
Instance details Defined in Foreign.C.Types Methods (==) :: CBool -> CBool -> Bool Source # (/=) :: CBool -> CBool -> Bool Source #
Eq CChar Source #
Instance details Defined in Foreign.C.Types Methods (==) :: CChar -> CChar -> Bool Source # (/=) :: CChar -> CChar -> Bool Source #
Eq CClock Source #
Instance details Defined in Foreign.C.Types Methods (==) :: CClock -> CClock -> Bool Source # (/=) :: CClock -> CClock -> Bool Source #
Eq CDouble Source #
Instance details Defined in Foreign.C.Types Methods (==) :: CDouble -> CDouble -> Bool Source # (/=) :: CDouble -> CDouble -> Bool Source #
Eq CFloat Source #
Instance details Defined in Foreign.C.Types Methods (==) :: CFloat -> CFloat -> Bool Source # (/=) :: CFloat -> CFloat -> Bool Source #
Eq CInt Source #
Instance details Defined in Foreign.C.Types Methods (==) :: CInt -> CInt -> Bool Source # (/=) :: CInt -> CInt -> Bool Source #
Eq CIntMax Source #
Instance details Defined in Foreign.C.Types Methods (==) :: CIntMax -> CIntMax -> Bool Source # (/=) :: CIntMax -> CIntMax -> Bool Source #
Eq CIntPtr Source #
Instance details Defined in Foreign.C.Types Methods (==) :: CIntPtr -> CIntPtr -> Bool Source # (/=) :: CIntPtr -> CIntPtr -> Bool Source #
Eq CLLong Source #
Instance details Defined in Foreign.C.Types Methods (==) :: CLLong -> CLLong -> Bool Source # (/=) :: CLLong -> CLLong -> Bool Source #
Eq CLong Source #
Instance details Defined in Foreign.C.Types Methods (==) :: CLong -> CLong -> Bool Source # (/=) :: CLong -> CLong -> Bool Source #
Eq CPtrdiff Source #
Instance details Defined in Foreign.C.Types Methods (==) :: CPtrdiff -> CPtrdiff -> Bool Source # (/=) :: CPtrdiff -> CPtrdiff -> Bool Source #
Eq CSChar Source #
Instance details Defined in Foreign.C.Types Methods (==) :: CSChar -> CSChar -> Bool Source # (/=) :: CSChar -> CSChar -> Bool Source #
Eq CSUSeconds Source #
Instance details Defined in Foreign.C.Types Methods (==) :: CSUSeconds -> CSUSeconds -> Bool Source # (/=) :: CSUSeconds -> CSUSeconds -> Bool Source #
Eq CShort Source #
Instance details Defined in Foreign.C.Types Methods (==) :: CShort -> CShort -> Bool Source # (/=) :: CShort -> CShort -> Bool Source #
Eq CSigAtomic Source #
Instance details Defined in Foreign.C.Types Methods (==) :: CSigAtomic -> CSigAtomic -> Bool Source # (/=) :: CSigAtomic -> CSigAtomic -> Bool Source #
Eq CSize Source #
Instance details Defined in Foreign.C.Types Methods (==) :: CSize -> CSize -> Bool Source # (/=) :: CSize -> CSize -> Bool Source #
Eq CTime Source #
Instance details Defined in Foreign.C.Types Methods (==) :: CTime -> CTime -> Bool Source # (/=) :: CTime -> CTime -> Bool Source #
Eq CUChar Source #
Instance details Defined in Foreign.C.Types Methods (==) :: CUChar -> CUChar -> Bool Source # (/=) :: CUChar -> CUChar -> Bool Source #
Eq CUInt Source #
Instance details Defined in Foreign.C.Types Methods (==) :: CUInt -> CUInt -> Bool Source # (/=) :: CUInt -> CUInt -> Bool Source #
Eq CUIntMax Source #
Instance details Defined in Foreign.C.Types Methods (==) :: CUIntMax -> CUIntMax -> Bool Source # (/=) :: CUIntMax -> CUIntMax -> Bool Source #
Eq CUIntPtr Source #
Instance details Defined in Foreign.C.Types Methods (==) :: CUIntPtr -> CUIntPtr -> Bool Source # (/=) :: CUIntPtr -> CUIntPtr -> Bool Source #
Eq CULLong Source #
Instance details Defined in Foreign.C.Types Methods (==) :: CULLong -> CULLong -> Bool Source # (/=) :: CULLong -> CULLong -> Bool Source #
Eq CULong Source #
Instance details Defined in Foreign.C.Types Methods (==) :: CULong -> CULong -> Bool Source # (/=) :: CULong -> CULong -> Bool Source #
Eq CUSeconds Source #
Instance details Defined in Foreign.C.Types Methods (==) :: CUSeconds -> CUSeconds -> Bool Source # (/=) :: CUSeconds -> CUSeconds -> Bool Source #
Eq CUShort Source #
Instance details Defined in Foreign.C.Types Methods (==) :: CUShort -> CUShort -> Bool Source # (/=) :: CUShort -> CUShort -> Bool Source #
Eq CWchar Source #
Instance details Defined in Foreign.C.Types Methods (==) :: CWchar -> CWchar -> Bool Source # (/=) :: CWchar -> CWchar -> Bool Source #
Eq IntPtr Source #
Instance details Defined in Foreign.Ptr Methods (==) :: IntPtr -> IntPtr -> Bool Source # (/=) :: IntPtr -> IntPtr -> Bool Source #
Eq WordPtr Source #
Instance details Defined in Foreign.Ptr Methods (==) :: WordPtr -> WordPtr -> Bool Source # (/=) :: WordPtr -> WordPtr -> Bool Source #
Eq ByteOrder Source #	Since: base-4.11.0.0
Instance details Defined in GHC.ByteOrder Methods (==) :: ByteOrder -> ByteOrder -> Bool Source # (/=) :: ByteOrder -> ByteOrder -> Bool Source #
Eq BlockReason Source #	Since: base-4.3.0.0
Instance details Defined in GHC.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.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.Conc.Sync Methods (==) :: ThreadStatus -> ThreadStatus -> Bool Source # (/=) :: ThreadStatus -> ThreadStatus -> Bool Source #
Eq Event Source #	Since: base-4.4.0.0
Instance details Defined in GHC.Event.Internal.Types Methods (==) :: Event -> Event -> Bool Source # (/=) :: Event -> Event -> Bool Source #
Eq Lifetime Source #	Since: base-4.8.1.0
Instance details Defined in GHC.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.Event.Manager Methods (==) :: FdKey -> FdKey -> Bool Source # (/=) :: FdKey -> FdKey -> Bool Source #
Eq TimeoutKey Source #
Instance details Defined in GHC.Event.TimeOut Methods (==) :: TimeoutKey -> TimeoutKey -> Bool Source # (/=) :: TimeoutKey -> TimeoutKey -> Bool Source #
Eq ErrorCall Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Exception Methods (==) :: ErrorCall -> ErrorCall -> Bool Source # (/=) :: ErrorCall -> ErrorCall -> Bool Source #
Eq ArithException Source #	Since: base-3.0
Instance details Defined in GHC.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.Exts Methods (==) :: SpecConstrAnnotation -> SpecConstrAnnotation -> Bool Source # (/=) :: SpecConstrAnnotation -> SpecConstrAnnotation -> Bool Source #
Eq Fingerprint Source #	Since: base-4.4.0.0
Instance details Defined in GHC.Fingerprint.Type Methods (==) :: Fingerprint -> Fingerprint -> Bool Source # (/=) :: Fingerprint -> Fingerprint -> Bool Source #
Eq Associativity Source #	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Methods (==) :: Associativity -> Associativity -> Bool Source # (/=) :: Associativity -> Associativity -> Bool Source #
Eq DecidedStrictness Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (==) :: DecidedStrictness -> DecidedStrictness -> Bool Source # (/=) :: DecidedStrictness -> DecidedStrictness -> Bool Source #
Eq Fixity Source #	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Methods (==) :: Fixity -> Fixity -> Bool Source # (/=) :: Fixity -> Fixity -> Bool Source #
Eq SourceStrictness Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (==) :: SourceStrictness -> SourceStrictness -> Bool Source # (/=) :: SourceStrictness -> SourceStrictness -> Bool Source #
Eq SourceUnpackedness Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (==) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source # (/=) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source #
Eq MaskingState Source #	Since: base-4.3.0.0
Instance details Defined in GHC.IO Methods (==) :: MaskingState -> MaskingState -> Bool Source # (/=) :: MaskingState -> MaskingState -> Bool Source #
Eq BufferState Source #	Since: base-4.2.0.0
Instance details Defined in GHC.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.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.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.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.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.IO.Exception Methods (==) :: AsyncException -> AsyncException -> Bool Source # (/=) :: AsyncException -> AsyncException -> Bool Source #
Eq ExitCode Source #
Instance details Defined in GHC.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.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.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.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.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.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.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.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.IO.IOMode Methods (==) :: IOMode -> IOMode -> Bool Source # (/=) :: IOMode -> IOMode -> Bool Source #
Eq Int16 Source #	Since: base-2.1
Instance details Defined in GHC.Int Methods (==) :: Int16 -> Int16 -> Bool Source # (/=) :: Int16 -> Int16 -> Bool Source #
Eq Int32 Source #	Since: base-2.1
Instance details Defined in GHC.Int Methods (==) :: Int32 -> Int32 -> Bool Source # (/=) :: Int32 -> Int32 -> Bool Source #
Eq Int64 Source #	Since: base-2.1
Instance details Defined in GHC.Int Methods (==) :: Int64 -> Int64 -> Bool Source # (/=) :: Int64 -> Int64 -> Bool Source #
Eq Int8 Source #	Since: base-2.1
Instance details Defined in GHC.Int Methods (==) :: Int8 -> Int8 -> Bool Source # (/=) :: Int8 -> Int8 -> Bool Source #
Eq IoSubSystem Source #
Instance details Defined in GHC.RTS.Flags Methods (==) :: IoSubSystem -> IoSubSystem -> Bool Source # (/=) :: IoSubSystem -> IoSubSystem -> Bool Source #
Eq SrcLoc Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Stack.Types Methods (==) :: SrcLoc -> SrcLoc -> Bool Source # (/=) :: SrcLoc -> SrcLoc -> Bool Source #
Eq SomeChar Source #
Instance details Defined in GHC.TypeLits Methods (==) :: SomeChar -> SomeChar -> Bool Source # (/=) :: SomeChar -> SomeChar -> Bool Source #
Eq SomeSymbol Source #	Since: base-4.7.0.0
Instance details Defined in GHC.TypeLits Methods (==) :: SomeSymbol -> SomeSymbol -> Bool Source # (/=) :: SomeSymbol -> SomeSymbol -> Bool Source #
Eq SomeNat Source #	Since: base-4.7.0.0
Instance details Defined in GHC.TypeNats Methods (==) :: SomeNat -> SomeNat -> Bool Source # (/=) :: SomeNat -> SomeNat -> Bool Source #
Eq GeneralCategory Source #	Since: base-2.1
Instance details Defined in GHC.Unicode Methods (==) :: GeneralCategory -> GeneralCategory -> Bool Source # (/=) :: GeneralCategory -> GeneralCategory -> Bool Source #
Eq Word16 Source #	Since: base-2.1
Instance details Defined in GHC.Word Methods (==) :: Word16 -> Word16 -> Bool Source # (/=) :: Word16 -> Word16 -> Bool Source #
Eq Word32 Source #	Since: base-2.1
Instance details Defined in GHC.Word Methods (==) :: Word32 -> Word32 -> Bool Source # (/=) :: Word32 -> Word32 -> Bool Source #
Eq Word64 Source #	Since: base-2.1
Instance details Defined in GHC.Word Methods (==) :: Word64 -> Word64 -> Bool Source # (/=) :: Word64 -> Word64 -> Bool Source #
Eq Word8 Source #	Since: base-2.1
Instance details Defined in GHC.Word Methods (==) :: Word8 -> Word8 -> Bool Source # (/=) :: Word8 -> Word8 -> Bool Source #
Eq CBlkCnt Source #
Instance details Defined in System.Posix.Types Methods (==) :: CBlkCnt -> CBlkCnt -> Bool Source # (/=) :: CBlkCnt -> CBlkCnt -> Bool Source #
Eq CBlkSize Source #
Instance details Defined in System.Posix.Types Methods (==) :: CBlkSize -> CBlkSize -> Bool Source # (/=) :: CBlkSize -> CBlkSize -> Bool Source #
Eq CCc Source #
Instance details Defined in System.Posix.Types Methods (==) :: CCc -> CCc -> Bool Source # (/=) :: CCc -> CCc -> Bool Source #
Eq CClockId Source #
Instance details Defined in System.Posix.Types Methods (==) :: CClockId -> CClockId -> Bool Source # (/=) :: CClockId -> CClockId -> Bool Source #
Eq CDev Source #
Instance details Defined in System.Posix.Types Methods (==) :: CDev -> CDev -> Bool Source # (/=) :: CDev -> CDev -> Bool Source #
Eq CFsBlkCnt Source #
Instance details Defined in System.Posix.Types Methods (==) :: CFsBlkCnt -> CFsBlkCnt -> Bool Source # (/=) :: CFsBlkCnt -> CFsBlkCnt -> Bool Source #
Eq CFsFilCnt Source #
Instance details Defined in System.Posix.Types Methods (==) :: CFsFilCnt -> CFsFilCnt -> Bool Source # (/=) :: CFsFilCnt -> CFsFilCnt -> Bool Source #
Eq CGid Source #
Instance details Defined in System.Posix.Types Methods (==) :: CGid -> CGid -> Bool Source # (/=) :: CGid -> CGid -> Bool Source #
Eq CId Source #
Instance details Defined in System.Posix.Types Methods (==) :: CId -> CId -> Bool Source # (/=) :: CId -> CId -> Bool Source #
Eq CIno Source #
Instance details Defined in System.Posix.Types Methods (==) :: CIno -> CIno -> Bool Source # (/=) :: CIno -> CIno -> Bool Source #
Eq CKey Source #
Instance details Defined in System.Posix.Types Methods (==) :: CKey -> CKey -> Bool Source # (/=) :: CKey -> CKey -> Bool Source #
Eq CMode Source #
Instance details Defined in System.Posix.Types Methods (==) :: CMode -> CMode -> Bool Source # (/=) :: CMode -> CMode -> Bool Source #
Eq CNfds Source #
Instance details Defined in System.Posix.Types Methods (==) :: CNfds -> CNfds -> Bool Source # (/=) :: CNfds -> CNfds -> Bool Source #
Eq CNlink Source #
Instance details Defined in System.Posix.Types Methods (==) :: CNlink -> CNlink -> Bool Source # (/=) :: CNlink -> CNlink -> Bool Source #
Eq COff Source #
Instance details Defined in System.Posix.Types Methods (==) :: COff -> COff -> Bool Source # (/=) :: COff -> COff -> Bool Source #
Eq CPid Source #
Instance details Defined in System.Posix.Types Methods (==) :: CPid -> CPid -> Bool Source # (/=) :: CPid -> CPid -> Bool Source #
Eq CRLim Source #
Instance details Defined in System.Posix.Types Methods (==) :: CRLim -> CRLim -> Bool Source # (/=) :: CRLim -> CRLim -> Bool Source #
Eq CSocklen Source #
Instance details Defined in System.Posix.Types Methods (==) :: CSocklen -> CSocklen -> Bool Source # (/=) :: CSocklen -> CSocklen -> Bool Source #
Eq CSpeed Source #
Instance details Defined in System.Posix.Types Methods (==) :: CSpeed -> CSpeed -> Bool Source # (/=) :: CSpeed -> CSpeed -> Bool Source #
Eq CSsize Source #
Instance details Defined in System.Posix.Types Methods (==) :: CSsize -> CSsize -> Bool Source # (/=) :: CSsize -> CSsize -> Bool Source #
Eq CTcflag Source #
Instance details Defined in System.Posix.Types Methods (==) :: CTcflag -> CTcflag -> Bool Source # (/=) :: CTcflag -> CTcflag -> Bool Source #
Eq CTimer Source #
Instance details Defined in System.Posix.Types Methods (==) :: CTimer -> CTimer -> Bool Source # (/=) :: CTimer -> CTimer -> Bool Source #
Eq CUid Source #
Instance details Defined in System.Posix.Types Methods (==) :: CUid -> CUid -> Bool Source # (/=) :: CUid -> CUid -> Bool Source #
Eq Fd Source #
Instance details Defined in System.Posix.Types Methods (==) :: Fd -> Fd -> Bool Source # (/=) :: Fd -> Fd -> Bool Source #
Eq Timeout Source #
Instance details Defined in System.Timeout Methods (==) :: Timeout -> Timeout -> Bool Source # (/=) :: Timeout -> Timeout -> Bool Source #
Eq Lexeme Source #	Since: base-2.1
Instance details Defined in 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 Text.Read.Lex Methods (==) :: Number -> Number -> Bool Source # (/=) :: Number -> Number -> Bool Source #
Eq BigNat
Instance details Defined in GHC.Num.BigNat Methods (==) :: BigNat -> BigNat -> Bool Source # (/=) :: BigNat -> BigNat -> Bool Source #
Eq Module
Instance details Defined in GHC.Classes Methods (==) :: Module -> Module -> Bool Source # (/=) :: Module -> Module -> Bool Source #
Eq Ordering
Instance details Defined in GHC.Classes Methods (==) :: Ordering -> Ordering -> Bool Source # (/=) :: Ordering -> Ordering -> Bool Source #
Eq TrName
Instance details Defined in GHC.Classes Methods (==) :: TrName -> TrName -> Bool Source # (/=) :: TrName -> TrName -> Bool Source #
Eq TyCon
Instance details Defined in GHC.Classes Methods (==) :: TyCon -> TyCon -> Bool Source # (/=) :: TyCon -> TyCon -> Bool Source #
Eq Integer
Instance details Defined in GHC.Num.Integer Methods (==) :: Integer -> Integer -> Bool Source # (/=) :: Integer -> Integer -> Bool Source #
Eq Natural
Instance details Defined in GHC.Num.Natural Methods (==) :: Natural -> Natural -> Bool Source # (/=) :: Natural -> Natural -> Bool Source #
Eq ()
Instance details Defined in GHC.Classes Methods (==) :: () -> () -> Bool Source # (/=) :: () -> () -> Bool Source #
Eq Bool
Instance details Defined in GHC.Classes Methods (==) :: Bool -> Bool -> Bool Source # (/=) :: Bool -> Bool -> Bool Source #
Eq Char
Instance details Defined in GHC.Classes Methods (==) :: Char -> Char -> Bool Source # (/=) :: Char -> Char -> Bool Source #
Eq Double	Note that due to the presence of `NaN`, `Double`'s `Eq` instance does not satisfy reflexivity. `>>>` `0/0 == (0/0 :: Double)`False Also note that `Double`'s `Eq` instance does not satisfy substitutivity: `>>>` `0 == (-0 :: Double)`True `>>>` `recip 0 == recip (-0 :: Double)`False
Instance details Defined in GHC.Classes Methods (==) :: Double -> Double -> Bool Source # (/=) :: Double -> Double -> Bool Source #
Eq Float	Note that due to the presence of `NaN`, `Float`'s `Eq` instance does not satisfy reflexivity. `>>>` `0/0 == (0/0 :: Float)`False Also note that `Float`'s `Eq` instance does not satisfy extensionality: `>>>` `0 == (-0 :: Float)`True `>>>` `recip 0 == recip (-0 :: Float)`False
Instance details Defined in GHC.Classes Methods (==) :: Float -> Float -> Bool Source # (/=) :: Float -> Float -> Bool Source #
Eq Int
Instance details Defined in GHC.Classes Methods (==) :: Int -> Int -> Bool Source # (/=) :: Int -> Int -> Bool Source #
Eq Word
Instance details Defined in GHC.Classes Methods (==) :: Word -> Word -> Bool Source # (/=) :: Word -> Word -> Bool Source #
Eq a => Eq (ZipList a) Source #	Since: base-4.7.0.0
Instance details Defined in Control.Applicative Methods (==) :: ZipList a -> ZipList a -> Bool Source # (/=) :: ZipList a -> ZipList a -> 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 a => Eq (And a) Source #	Since: base-4.16
Instance details Defined in 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 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 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 Data.Bits Methods (==) :: Xor a -> Xor a -> Bool Source # (/=) :: Xor a -> Xor a -> 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 (Identity a) Source #	Since: base-4.8.0.0
Instance details Defined in 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 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 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 Data.Ord Methods (==) :: Down a -> Down a -> Bool Source # (/=) :: Down a -> Down 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 (Dual a) Source #	Since: base-2.1
Instance details Defined in 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 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 Data.Semigroup.Internal Methods (==) :: Sum a -> Sum a -> Bool Source # (/=) :: Sum a -> Sum a -> Bool Source #
Eq (TVar a) Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Conc.Sync Methods (==) :: TVar a -> TVar a -> Bool Source # (/=) :: TVar a -> TVar a -> Bool Source #
Eq (ForeignPtr a) Source #	Since: base-2.1
Instance details Defined in GHC.ForeignPtr Methods (==) :: ForeignPtr a -> ForeignPtr a -> Bool Source # (/=) :: ForeignPtr a -> ForeignPtr a -> Bool Source #
Eq p => Eq (Par1 p) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.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.IORef Methods (==) :: IORef a -> IORef a -> Bool Source # (/=) :: IORef a -> IORef a -> Bool Source #
Eq (MVar a) Source #	Since: base-4.1.0.0
Instance details Defined in GHC.MVar Methods (==) :: MVar a -> MVar a -> Bool Source # (/=) :: MVar a -> MVar a -> Bool Source #
Eq (FunPtr a) Source #
Instance details Defined in GHC.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.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.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.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.StableName Methods (==) :: StableName a -> StableName a -> Bool Source # (/=) :: StableName a -> StableName a -> Bool Source #
Eq a => Eq (NonEmpty a) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (==) :: NonEmpty a -> NonEmpty a -> Bool Source # (/=) :: NonEmpty a -> NonEmpty a -> Bool Source #
Eq a => Eq (Maybe a) Source #	Since: base-2.1
Instance details Defined in GHC.Maybe Methods (==) :: Maybe a -> Maybe a -> Bool Source # (/=) :: Maybe a -> Maybe a -> Bool Source #
Eq a => Eq (a)
Instance details Defined in GHC.Classes Methods (==) :: (a) -> (a) -> Bool Source # (/=) :: (a) -> (a) -> Bool Source #
Eq a => Eq [a]
Instance details Defined in GHC.Classes Methods (==) :: [a] -> [a] -> Bool Source # (/=) :: [a] -> [a] -> Bool Source #
(Eq a, Eq b) => Eq (Either a b) Source #	Since: base-2.1
Instance details Defined in Data.Either Methods (==) :: Either a b -> Either a b -> Bool Source # (/=) :: Either a b -> Either a b -> 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 (Proxy s) Source #	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods (==) :: Proxy s -> Proxy s -> Bool Source # (/=) :: Proxy s -> Proxy s -> Bool Source #
Eq a => Eq (Arg a b) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (==) :: Arg a b -> Arg a b -> Bool Source # (/=) :: Arg a b -> Arg a b -> Bool Source #
Eq (TypeRep a) Source #	Since: base-2.1
Instance details Defined in Data.Typeable.Internal Methods (==) :: TypeRep a -> TypeRep a -> Bool Source # (/=) :: TypeRep a -> TypeRep a -> Bool Source #
(Ix i, Eq e) => Eq (Array i e) Source #	Since: base-2.1
Instance details Defined in GHC.Arr Methods (==) :: Array i e -> Array i e -> Bool Source # (/=) :: Array i e -> Array i e -> Bool Source #
Eq (U1 p) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.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.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.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.STRef Methods (==) :: STRef s a -> STRef s a -> Bool Source # (/=) :: STRef s a -> STRef s a -> Bool Source #
(Eq a, Eq b) => Eq (a, b)
Instance details Defined in GHC.Classes Methods (==) :: (a, b) -> (a, b) -> Bool Source # (/=) :: (a, b) -> (a, b) -> Bool Source #
Eq a => Eq (Const a b) Source #	Since: base-4.9.0.0
Instance details Defined in 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 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 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 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 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 Data.Type.Ord Methods (==) :: OrderingI a b -> OrderingI a b -> Bool Source # (/=) :: OrderingI a b -> OrderingI a b -> Bool Source #
Eq (STArray s i e) Source #	Since: base-2.1
Instance details Defined in GHC.Arr Methods (==) :: STArray s i e -> STArray s i e -> Bool Source # (/=) :: STArray s i e -> STArray s i e -> Bool Source #
Eq (f p) => Eq (Rec1 f p) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.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.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.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.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.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.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.Generics Methods (==) :: URec Word p -> URec Word p -> Bool Source # (/=) :: URec Word p -> URec Word p -> Bool Source #
(Eq a, Eq b, Eq c) => Eq (a, b, c)
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c) -> (a, b, c) -> Bool Source # (/=) :: (a, b, c) -> (a, b, c) -> Bool Source #
(Eq1 f, Eq1 g, Eq a) => Eq (Product f g a) Source #	Since: base-4.9.0.0
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 #
(Eq1 f, Eq1 g, Eq a) => Eq (Sum f g a) Source #	Since: base-4.9.0.0
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 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.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.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.Generics Methods (==) :: K1 i c p -> K1 i c p -> Bool Source # (/=) :: K1 i c p -> K1 i c p -> Bool Source #
(Eq a, Eq b, Eq c, Eq d) => Eq (a, b, c, d)
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d) -> (a, b, c, d) -> Bool Source # (/=) :: (a, b, c, d) -> (a, b, c, d) -> Bool Source #
(Eq1 f, Eq1 g, Eq a) => Eq (Compose f g a) Source #	Since: base-4.9.0.0
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.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.Generics Methods (==) :: M1 i c f p -> M1 i c f p -> Bool Source # (/=) :: M1 i c f p -> M1 i c f p -> Bool Source #
(Eq a, Eq b, Eq c, Eq d, Eq e) => Eq (a, b, c, d, e)
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool Source # (/=) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool Source #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f) => Eq (a, b, c, d, e, f)
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool Source # (/=) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool Source #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g) => Eq (a, b, c, d, e, f, g)
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool Source # (/=) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool Source #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h) => Eq (a, b, c, d, e, f, g, h)
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool Source # (/=) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool Source #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i) => Eq (a, b, c, d, e, f, g, h, i)
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool Source # (/=) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool Source #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j) => Eq (a, b, c, d, e, f, g, h, i, j)
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool Source # (/=) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool Source #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j, Eq k) => Eq (a, b, c, d, e, f, g, h, i, j, k)
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool Source # (/=) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool Source #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j, Eq k, Eq l) => Eq (a, b, c, d, e, f, g, h, i, j, k, l)
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool Source # (/=) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool Source #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j, Eq k, Eq l, Eq m) => Eq (a, b, c, d, e, f, g, h, i, j, k, l, m)
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool Source # (/=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool Source #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j, Eq k, Eq l, Eq m, Eq n) => Eq (a, b, c, d, e, f, g, h, i, j, k, l, m, n)
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool Source # (/=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool Source #
(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j, Eq k, Eq l, Eq m, Eq n, Eq o) => Eq (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)
Instance details Defined in GHC.Classes Methods (==) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool Source # (/=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool Source #

class 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 (==).

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 All Source #	Since: base-2.1
Instance details Defined in 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 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 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 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 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 Void Source #	Since: base-4.8.0.0
Instance details Defined in Data.Void 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 CBool Source #
Instance details Defined in 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 ByteOrder Source #	Since: base-4.11.0.0
Instance details Defined in GHC.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 BlockReason Source #	Since: base-4.3.0.0
Instance details Defined in GHC.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.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.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 TimeoutKey Source #
Instance details Defined in GHC.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 ErrorCall Source #	Since: base-4.7.0.0
Instance details Defined in GHC.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.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.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 Associativity Source #	Since: base-4.6.0.0
Instance details Defined in GHC.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.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.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.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.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 SeekMode Source #	Since: base-4.2.0.0
Instance details Defined in GHC.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.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.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.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.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.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.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.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.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.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.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.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 SomeChar Source #
Instance details Defined in GHC.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.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.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 GeneralCategory Source #	Since: base-2.1
Instance details Defined in GHC.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.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.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.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.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 CBlkCnt Source #
Instance details Defined in 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 BigNat
Instance details Defined in GHC.Num.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 Ordering
Instance details Defined in GHC.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
Instance details Defined in GHC.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 Integer
Instance details Defined in GHC.Num.Integer Methods compare :: Integer -> Integer -> Ordering Source # (<) :: Integer -> Integer -> Bool Source # (<=) :: Integer -> Integer -> Bool Source # (>) :: Integer -> Integer -> Bool Source # (>=) :: Integer -> Integer -> Bool Source # max :: Integer -> Integer -> Integer Source # min :: Integer -> Integer -> Integer Source #
Ord Natural
Instance details Defined in GHC.Num.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 ()
Instance details Defined in GHC.Classes Methods compare :: () -> () -> Ordering Source # (<) :: () -> () -> Bool Source # (<=) :: () -> () -> Bool Source # (>) :: () -> () -> Bool Source # (>=) :: () -> () -> Bool Source # max :: () -> () -> () Source # min :: () -> () -> () Source #
Ord Bool
Instance details Defined in GHC.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
Instance details Defined in GHC.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	Note that due to the presence of `NaN`, `Double`'s `Ord` instance does not satisfy reflexivity. `>>>` `0/0 <= (0/0 :: Double)`False Also note that, due to the same, `Ord`'s operator interactions are not respected by `Double`'s instance: `>>>` `(0/0 :: Double) > 1`False `>>>` `compare (0/0 :: Double) 1`GT
Instance details Defined in GHC.Classes Methods compare :: Double -> Double -> Ordering Source # (<) :: Double -> Double -> Bool Source # (<=) :: Double -> Double -> Bool Source # (>) :: Double -> Double -> Bool Source # (>=) :: Double -> Double -> Bool Source # max :: Double -> Double -> Double Source # min :: Double -> Double -> Double Source #
Ord Float	Note that due to the presence of `NaN`, `Float`'s `Ord` instance does not satisfy reflexivity. `>>>` `0/0 <= (0/0 :: Float)`False Also note that, due to the same, `Ord`'s operator interactions are not respected by `Float`'s instance: `>>>` `(0/0 :: Float) > 1`False `>>>` `compare (0/0 :: Float) 1`GT
Instance details Defined in GHC.Classes Methods compare :: Float -> Float -> Ordering Source # (<) :: Float -> Float -> Bool Source # (<=) :: Float -> Float -> Bool Source # (>) :: Float -> Float -> Bool Source # (>=) :: Float -> Float -> Bool Source # max :: Float -> Float -> Float Source # min :: Float -> Float -> Float Source #
Ord Int
Instance details Defined in GHC.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
Instance details Defined in GHC.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 (ZipList a) Source #	Since: base-4.7.0.0
Instance details Defined in Control.Applicative 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 a => Ord (Identity a) Source #	Since: base-4.8.0.0
Instance details Defined in 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 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 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 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 (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 (Dual a) Source #	Since: base-2.1
Instance details Defined in 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 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 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 (ForeignPtr a) Source #	Since: base-2.1
Instance details Defined in GHC.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 p => Ord (Par1 p) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.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.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.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.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 a => Ord (NonEmpty a) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.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 (Maybe a) Source #	Since: base-2.1
Instance details Defined in GHC.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 (a)
Instance details Defined in GHC.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 a => Ord [a]
Instance details Defined in GHC.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 a, Ord b) => Ord (Either a b) Source #	Since: base-2.1
Instance details Defined in 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 (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 (Proxy s) Source #	Since: base-4.7.0.0
Instance details Defined in 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 a => Ord (Arg a b) Source #	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 #
Ord (TypeRep a) Source #	Since: base-4.4.0.0
Instance details Defined in 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 #
(Ix i, Ord e) => Ord (Array i e) Source #	Since: base-2.1
Instance details Defined in GHC.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 (U1 p) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.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.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)
Instance details Defined in GHC.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 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 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 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 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 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 (Rec1 f p) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.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.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.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.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.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.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.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)
Instance details Defined in GHC.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 #
(Ord1 f, Ord1 g, Ord a) => Ord (Product f g a) Source #	Since: base-4.9.0.0
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 #
(Ord1 f, Ord1 g, Ord a) => Ord (Sum f g a) Source #	Since: base-4.9.0.0
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 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.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.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.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)
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d) -> (a, b, c, d) -> Ordering Source # (<) :: (a, b, c, d) -> (a, b, c, d) -> Bool Source # (<=) :: (a, b, c, d) -> (a, b, c, d) -> Bool Source # (>) :: (a, b, c, d) -> (a, b, c, d) -> Bool Source # (>=) :: (a, b, c, d) -> (a, b, c, d) -> Bool Source # max :: (a, b, c, d) -> (a, b, c, d) -> (a, b, c, d) Source # min :: (a, b, c, d) -> (a, b, c, d) -> (a, b, c, d) Source #
(Ord1 f, Ord1 g, Ord a) => Ord (Compose f g a) Source #	Since: base-4.9.0.0
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.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.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)
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e) -> (a, b, c, d, e) -> Ordering Source # (<) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool Source # (<=) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool Source # (>) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool Source # (>=) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool Source # max :: (a, b, c, d, e) -> (a, b, c, d, e) -> (a, b, c, d, e) Source # min :: (a, b, c, d, e) -> (a, b, c, d, e) -> (a, b, c, d, e) Source #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f) => Ord (a, b, c, d, e, f)
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Ordering Source # (<) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool Source # (<=) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool Source # (>) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool Source # (>=) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool Source # max :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> (a, b, c, d, e, f) Source # min :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> (a, b, c, d, e, f) Source #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g) => Ord (a, b, c, d, e, f, g)
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Ordering Source # (<) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool Source # (<=) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool Source # (>) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool Source # (>=) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool Source # max :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) Source # min :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) Source #
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h) => Ord (a, b, c, d, e, f, g, h)
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Ordering 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)
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Ordering 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)
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Ordering 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)
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Ordering 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)
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Ordering 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)
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Ordering 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)
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Ordering 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)
Instance details Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Ordering 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 #

the successor of a value. For numeric types, succ adds 1.

pred :: a -> a Source #

the 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). For example:

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

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

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

Used in Haskell's translation of [n,n'..] with [n,n'..] = enumFromThen n n', a possible implementation being enumFromThen n n' = n : n' : worker (f x) (f x n'), worker s v = v : worker s (s v), x = fromEnum n' - fromEnum n and f n y | n > 0 = f (n - 1) (succ y) | n < 0 = f (n + 1) (pred y) | otherwise = y For example:

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

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

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

Used in Haskell's translation of [n..m] with [n..m] = enumFromTo n m, a possible implementation being enumFromTo n m | n <= m = n : enumFromTo (succ n) m | otherwise = []. For example:

```
enumFromTo 6 10 :: [Int] = [6,7,8,9,10]
```
```
enumFromTo 42 1 :: [Integer] = []
```

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

Used in Haskell's translation of [n,n'..m] with [n,n'..m] = enumFromThenTo n n' m, a possible implementation being enumFromThenTo n n' m = worker (f x) (c x) n m, x = fromEnum n' - fromEnum n, c x = bool (>=) ((x 0) f n y | n > 0 = f (n - 1) (succ y) | n < 0 = f (n + 1) (pred y) | otherwise = y and worker s c v m | c v m = v : worker s c (s v) m | otherwise = [] For example:

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

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

Instances

Instances details

Enum CBool Source #
Instance details Defined in 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 ByteOrder Source #	Since: base-4.11.0.0
Instance details Defined in GHC.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 Associativity Source #	Since: base-4.9.0.0
Instance details Defined in GHC.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.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.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.Generics Methods succ :: SourceUnpackedness -> SourceUnpackedness Source # pred :: SourceUnpackedness -> SourceUnpackedness Source # toEnum :: Int -> SourceUnpackedness Source # fromEnum :: SourceUnpackedness -> Int Source # enumFrom :: SourceUnpackedness -> [SourceUnpackedness] Source # enumFromThen :: SourceUnpackedness -> SourceUnpackedness -> [SourceUnpackedness] Source # enumFromTo :: SourceUnpackedness -> SourceUnpackedness -> [SourceUnpackedness] Source # enumFromThenTo :: SourceUnpackedness -> SourceUnpackedness -> SourceUnpackedness -> [SourceUnpackedness] Source #
Enum SeekMode Source #	Since: base-4.2.0.0
Instance details Defined in GHC.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.IO.IOMode Methods succ :: IOMode -> IOMode Source # pred :: IOMode -> IOMode Source # toEnum :: Int -> IOMode Source # fromEnum :: IOMode -> Int Source # enumFrom :: IOMode -> [IOMode] Source # enumFromThen :: IOMode -> IOMode -> [IOMode] Source # enumFromTo :: IOMode -> IOMode -> [IOMode] Source # enumFromThenTo :: IOMode -> IOMode -> IOMode -> [IOMode] Source #
Enum Int16 Source #	Since: base-2.1
Instance details Defined in GHC.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.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.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.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 DoCostCentres Source #	Since: base-4.8.0.0
Instance details Defined in GHC.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.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.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.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 IoSubSystem Source #	Since: base-4.9.0.0
Instance details Defined in GHC.RTS.Flags 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 GeneralCategory Source #	Since: base-2.1
Instance details Defined in GHC.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.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.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.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.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 CBlkCnt Source #
Instance details Defined in 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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.Enum Methods succ :: Ordering -> Ordering Source # pred :: Ordering -> Ordering Source # toEnum :: Int -> Ordering Source # fromEnum :: Ordering -> Int Source # enumFrom :: Ordering -> [Ordering] Source # enumFromThen :: Ordering -> Ordering -> [Ordering] Source # enumFromTo :: Ordering -> Ordering -> [Ordering] Source # enumFromThenTo :: Ordering -> Ordering -> Ordering -> [Ordering] Source #
Enum Integer Source #	Since: base-2.1
Instance details Defined in GHC.Enum Methods succ :: Integer -> Integer Source # pred :: Integer -> Integer Source # toEnum :: Int -> Integer Source # fromEnum :: Integer -> Int Source # enumFrom :: Integer -> [Integer] Source # enumFromThen :: Integer -> Integer -> [Integer] Source # enumFromTo :: Integer -> Integer -> [Integer] Source # enumFromThenTo :: Integer -> Integer -> Integer -> [Integer] Source #
Enum Natural Source #	Since: base-4.8.0.0
Instance details Defined in GHC.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.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.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.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 #	Since: base-2.1
Instance details Defined in GHC.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 #	Since: base-2.1
Instance details Defined in GHC.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.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.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.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.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.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 (And a) Source #	Since: base-4.16
Instance details Defined in 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 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 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 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 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 => 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 #
Integral a => Enum (Ratio a) Source #	Since: base-2.0.1
Instance details Defined in GHC.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 (a) Source #
Instance details Defined in GHC.Enum Methods succ :: (a) -> (a) Source # pred :: (a) -> (a) Source # toEnum :: Int -> (a) Source # fromEnum :: (a) -> Int Source # enumFrom :: (a) -> [(a)] Source # enumFromThen :: (a) -> (a) -> [(a)] Source # enumFromTo :: (a) -> (a) -> [(a)] Source # enumFromThenTo :: (a) -> (a) -> (a) -> [(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) == 1.001 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 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 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 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 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 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 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 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 #

class Bounded a where Source #

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

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

Methods

minBound :: a Source #

maxBound :: a Source #

Instances

Instances details

Bounded All Source #	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods minBound :: All Source # maxBound :: All Source #
Bounded Any Source #	Since: base-2.1
Instance details Defined in Data.Semigroup.Internal Methods minBound :: Any Source # maxBound :: Any Source #
Bounded CBool Source #
Instance details Defined in Foreign.C.Types Methods minBound :: CBool Source # maxBound :: CBool Source #
Bounded CChar Source #
Instance details Defined in Foreign.C.Types Methods minBound :: CChar Source # maxBound :: CChar Source #
Bounded CInt Source #
Instance details Defined in Foreign.C.Types Methods minBound :: CInt Source # maxBound :: CInt Source #
Bounded CIntMax Source #
Instance details Defined in Foreign.C.Types Methods minBound :: CIntMax Source # maxBound :: CIntMax Source #
Bounded CIntPtr Source #
Instance details Defined in Foreign.C.Types Methods minBound :: CIntPtr Source # maxBound :: CIntPtr Source #
Bounded CLLong Source #
Instance details Defined in Foreign.C.Types Methods minBound :: CLLong Source # maxBound :: CLLong Source #
Bounded CLong Source #
Instance details Defined in Foreign.C.Types Methods minBound :: CLong Source # maxBound :: CLong Source #
Bounded CPtrdiff Source #
Instance details Defined in Foreign.C.Types Methods minBound :: CPtrdiff Source # maxBound :: CPtrdiff Source #
Bounded CSChar Source #
Instance details Defined in Foreign.C.Types Methods minBound :: CSChar Source # maxBound :: CSChar Source #
Bounded CShort Source #
Instance details Defined in Foreign.C.Types Methods minBound :: CShort Source # maxBound :: CShort Source #
Bounded CSigAtomic Source #
Instance details Defined in Foreign.C.Types Methods minBound :: CSigAtomic Source # maxBound :: CSigAtomic Source #
Bounded CSize Source #
Instance details Defined in Foreign.C.Types Methods minBound :: CSize Source # maxBound :: CSize Source #
Bounded CUChar Source #
Instance details Defined in Foreign.C.Types Methods minBound :: CUChar Source # maxBound :: CUChar Source #
Bounded CUInt Source #
Instance details Defined in Foreign.C.Types Methods minBound :: CUInt Source # maxBound :: CUInt Source #
Bounded CUIntMax Source #
Instance details Defined in Foreign.C.Types Methods minBound :: CUIntMax Source # maxBound :: CUIntMax Source #
Bounded CUIntPtr Source #
Instance details Defined in Foreign.C.Types Methods minBound :: CUIntPtr Source # maxBound :: CUIntPtr Source #
Bounded CULLong Source #
Instance details Defined in Foreign.C.Types Methods minBound :: CULLong Source # maxBound :: CULLong Source #
Bounded CULong Source #
Instance details Defined in Foreign.C.Types Methods minBound :: CULong Source # maxBound :: CULong Source #
Bounded CUShort Source #
Instance details Defined in Foreign.C.Types Methods minBound :: CUShort Source # maxBound :: CUShort Source #
Bounded CWchar Source #
Instance details Defined in Foreign.C.Types Methods minBound :: CWchar Source # maxBound :: CWchar Source #
Bounded IntPtr Source #
Instance details Defined in Foreign.Ptr Methods minBound :: IntPtr Source # maxBound :: IntPtr Source #
Bounded WordPtr Source #
Instance details Defined in Foreign.Ptr Methods minBound :: WordPtr Source # maxBound :: WordPtr Source #
Bounded ByteOrder Source #	Since: base-4.11.0.0
Instance details Defined in GHC.ByteOrder Methods minBound :: ByteOrder Source # maxBound :: ByteOrder Source #
Bounded Associativity Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods minBound :: Associativity Source # maxBound :: Associativity Source #
Bounded DecidedStrictness Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods minBound :: DecidedStrictness Source # maxBound :: DecidedStrictness Source #
Bounded SourceStrictness Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods minBound :: SourceStrictness Source # maxBound :: SourceStrictness Source #
Bounded SourceUnpackedness Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods minBound :: SourceUnpackedness Source # maxBound :: SourceUnpackedness Source #
Bounded Int16 Source #	Since: base-2.1
Instance details Defined in GHC.Int Methods minBound :: Int16 Source # maxBound :: Int16 Source #
Bounded Int32 Source #	Since: base-2.1
Instance details Defined in GHC.Int Methods minBound :: Int32 Source # maxBound :: Int32 Source #
Bounded Int64 Source #	Since: base-2.1
Instance details Defined in GHC.Int Methods minBound :: Int64 Source # maxBound :: Int64 Source #
Bounded Int8 Source #	Since: base-2.1
Instance details Defined in GHC.Int Methods minBound :: Int8 Source # maxBound :: Int8 Source #
Bounded GeneralCategory Source #	Since: base-2.1
Instance details Defined in GHC.Unicode Methods minBound :: GeneralCategory Source # maxBound :: GeneralCategory Source #
Bounded Word16 Source #	Since: base-2.1
Instance details Defined in GHC.Word Methods minBound :: Word16 Source # maxBound :: Word16 Source #
Bounded Word32 Source #	Since: base-2.1
Instance details Defined in GHC.Word Methods minBound :: Word32 Source # maxBound :: Word32 Source #
Bounded Word64 Source #	Since: base-2.1
Instance details Defined in GHC.Word Methods minBound :: Word64 Source # maxBound :: Word64 Source #
Bounded Word8 Source #	Since: base-2.1
Instance details Defined in GHC.Word Methods minBound :: Word8 Source # maxBound :: Word8 Source #
Bounded CBlkCnt Source #
Instance details Defined in System.Posix.Types Methods minBound :: CBlkCnt Source # maxBound :: CBlkCnt Source #
Bounded CBlkSize Source #
Instance details Defined in System.Posix.Types Methods minBound :: CBlkSize Source # maxBound :: CBlkSize Source #
Bounded CClockId Source #
Instance details Defined in System.Posix.Types Methods minBound :: CClockId Source # maxBound :: CClockId Source #
Bounded CDev Source #
Instance details Defined in System.Posix.Types Methods minBound :: CDev Source # maxBound :: CDev Source #
Bounded CFsBlkCnt Source #
Instance details Defined in System.Posix.Types Methods minBound :: CFsBlkCnt Source # maxBound :: CFsBlkCnt Source #
Bounded CFsFilCnt Source #
Instance details Defined in System.Posix.Types Methods minBound :: CFsFilCnt Source # maxBound :: CFsFilCnt Source #
Bounded CGid Source #
Instance details Defined in System.Posix.Types Methods minBound :: CGid Source # maxBound :: CGid Source #
Bounded CId Source #
Instance details Defined in System.Posix.Types Methods minBound :: CId Source # maxBound :: CId Source #
Bounded CIno Source #
Instance details Defined in System.Posix.Types Methods minBound :: CIno Source # maxBound :: CIno Source #
Bounded CKey Source #
Instance details Defined in System.Posix.Types Methods minBound :: CKey Source # maxBound :: CKey Source #
Bounded CMode Source #
Instance details Defined in System.Posix.Types Methods minBound :: CMode Source # maxBound :: CMode Source #
Bounded CNfds Source #
Instance details Defined in System.Posix.Types Methods minBound :: CNfds Source # maxBound :: CNfds Source #
Bounded CNlink Source #
Instance details Defined in System.Posix.Types Methods minBound :: CNlink Source # maxBound :: CNlink Source #
Bounded COff Source #
Instance details Defined in System.Posix.Types Methods minBound :: COff Source # maxBound :: COff Source #
Bounded CPid Source #
Instance details Defined in System.Posix.Types Methods minBound :: CPid Source # maxBound :: CPid Source #
Bounded CRLim Source #
Instance details Defined in System.Posix.Types Methods minBound :: CRLim Source # maxBound :: CRLim Source #
Bounded CSocklen Source #
Instance details Defined in System.Posix.Types Methods minBound :: CSocklen Source # maxBound :: CSocklen Source #
Bounded CSsize Source #
Instance details Defined in System.Posix.Types Methods minBound :: CSsize Source # maxBound :: CSsize Source #
Bounded CTcflag Source #
Instance details Defined in System.Posix.Types Methods minBound :: CTcflag Source # maxBound :: CTcflag Source #
Bounded CUid Source #
Instance details Defined in System.Posix.Types Methods minBound :: CUid Source # maxBound :: CUid Source #
Bounded Fd Source #
Instance details Defined in System.Posix.Types Methods minBound :: Fd Source # maxBound :: Fd Source #
Bounded Ordering Source #	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: Ordering Source # maxBound :: Ordering Source #
Bounded () Source #	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: () Source # maxBound :: () Source #
Bounded Bool Source #	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: Bool Source # maxBound :: Bool Source #
Bounded Char Source #	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: Char Source # maxBound :: Char Source #
Bounded Int Source #	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: Int Source # maxBound :: Int Source #
Bounded Levity Source #	Since: base-4.16.0.0
Instance details Defined in GHC.Enum Methods minBound :: Levity Source # maxBound :: Levity Source #
Bounded VecCount Source #	Since: base-4.10.0.0
Instance details Defined in GHC.Enum Methods minBound :: VecCount Source # maxBound :: VecCount Source #
Bounded VecElem Source #	Since: base-4.10.0.0
Instance details Defined in GHC.Enum Methods minBound :: VecElem Source # maxBound :: VecElem Source #
Bounded Word Source #	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: Word Source # maxBound :: Word Source #
Bounded a => Bounded (And a) Source #	Since: base-4.16
Instance details Defined in 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 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 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 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 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 Data.Ord Methods minBound :: Down a Source # maxBound :: Down a 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 (Dual a) Source #	Since: base-2.1
Instance details Defined in 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 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 Data.Semigroup.Internal Methods minBound :: Sum a Source # maxBound :: Sum a Source #
Bounded a => Bounded (a) Source #
Instance details Defined in GHC.Enum Methods minBound :: (a) Source # maxBound :: (a) Source #
Bounded (Proxy t) Source #	Since: base-4.7.0.0
Instance details Defined in 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.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 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 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 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 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.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 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.Enum Methods minBound :: (a, b, c, d) Source # maxBound :: (a, b, c, d) 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.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.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.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.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.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.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.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.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.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.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.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

Data Int Source #	Since: base-4.0.0.0
Instance details Defined in 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 #
Storable Int Source #	Since: base-2.1
Instance details Defined in 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 #
Bits Int Source #	Since: base-2.1
Instance details Defined in GHC.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.Bits Methods finiteBitSize :: Int -> Int Source # countLeadingZeros :: Int -> Int Source # countTrailingZeros :: Int -> Int Source #
Bounded Int Source #	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: Int Source # maxBound :: Int Source #
Enum Int Source #	Since: base-2.1
Instance details Defined in GHC.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 #
Ix Int Source #	Since: base-2.1
Instance details Defined in GHC.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.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.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.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.Real Methods toRational :: Int -> Rational Source #
Show Int Source #	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> Int -> ShowS Source # show :: Int -> String Source # showList :: [Int] -> ShowS Source #
PrintfArg Int Source #	Since: base-2.1
Instance details Defined in Text.Printf Methods formatArg :: Int -> FieldFormatter Source # parseFormat :: Int -> ModifierParser Source #
Eq Int
Instance details Defined in GHC.Classes Methods (==) :: Int -> Int -> Bool Source # (/=) :: Int -> Int -> Bool Source #
Ord Int
Instance details Defined in GHC.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 #
Generic1 (URec Int :: k -> Type) Source #
Instance details Defined in GHC.Generics Associated Types type Rep1 (URec Int) :: k -> Type Source # Methods from1 :: forall (a :: k0). URec Int a -> Rep1 (URec Int) a Source # to1 :: forall (a :: k0). Rep1 (URec Int) a -> URec Int a Source #
Foldable (UInt :: TYPE LiftedRep -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => UInt m -> m Source # foldMap :: Monoid m => (a -> m) -> UInt a -> m Source # foldMap' :: Monoid m => (a -> m) -> UInt a -> m Source # foldr :: (a -> b -> b) -> b -> UInt a -> b Source # foldr' :: (a -> b -> b) -> b -> UInt a -> b Source # foldl :: (b -> a -> b) -> b -> UInt a -> b Source # foldl' :: (b -> a -> b) -> b -> UInt a -> b Source # foldr1 :: (a -> a -> a) -> UInt a -> a Source # foldl1 :: (a -> a -> a) -> UInt a -> a Source # toList :: UInt a -> [a] Source # null :: UInt a -> Bool Source # length :: UInt a -> Int Source # elem :: Eq a => a -> UInt a -> Bool Source # maximum :: Ord a => UInt a -> a Source # minimum :: Ord a => UInt a -> a Source # 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 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 LiftedRep -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec Int a -> URec Int b Source # (<$) :: a -> URec Int b -> URec Int a Source #
Generic (URec Int p) Source #
Instance details Defined in GHC.Generics Associated Types type Rep (URec Int p) :: Type -> Type Source # 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.Generics Methods showsPrec :: Int -> URec Int p -> ShowS Source # show :: URec Int p -> String Source # showList :: [URec Int p] -> ShowS Source #
Eq (URec Int p) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.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.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 #
data URec Int (p :: k) Source #	Used for marking occurrences of `Int#` Since: base-4.9.0.0
Instance details Defined in GHC.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.Generics type Rep1 (URec Int :: k -> Type) = D1 ('MetaData "URec" "GHC.Generics" "base" '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.Generics type Rep (URec Int p) = D1 ('MetaData "URec" "GHC.Generics" "base" '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 (fit into an Int), IS constructor is used. Otherwise Integer and IN constructors are used to store a BigNat representing respectively the positive or the negative value magnitude.

Invariant: Integer and IN are used iff value doesn't fit in IS

Instances

Instances details

Data Integer Source #	Since: base-4.0.0.0
Instance details Defined in 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 #
Bits Integer Source #	Since: base-2.1
Instance details Defined in GHC.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 #
Enum Integer Source #	Since: base-2.1
Instance details Defined in GHC.Enum Methods succ :: Integer -> Integer Source # pred :: Integer -> Integer Source # toEnum :: Int -> Integer Source # fromEnum :: Integer -> Int Source # enumFrom :: Integer -> [Integer] Source # enumFromThen :: Integer -> Integer -> [Integer] Source # enumFromTo :: Integer -> Integer -> [Integer] Source # enumFromThenTo :: Integer -> Integer -> Integer -> [Integer] Source #
Ix Integer Source #	Since: base-2.1
Instance details Defined in GHC.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.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.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.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.Real Methods toRational :: Integer -> Rational Source #
Show Integer Source #	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> Integer -> ShowS Source # show :: Integer -> String Source # showList :: [Integer] -> ShowS Source #
PrintfArg Integer Source #	Since: base-2.1
Instance details Defined in Text.Printf Methods formatArg :: Integer -> FieldFormatter Source # parseFormat :: Integer -> ModifierParser Source #
Eq Integer
Instance details Defined in GHC.Num.Integer Methods (==) :: Integer -> Integer -> Bool Source # (/=) :: Integer -> Integer -> Bool Source #
Ord Integer
Instance details Defined in GHC.Num.Integer Methods compare :: Integer -> Integer -> Ordering Source # (<) :: Integer -> Integer -> Bool Source # (<=) :: Integer -> Integer -> Bool Source # (>) :: Integer -> Integer -> Bool Source # (>=) :: Integer -> Integer -> Bool Source # max :: Integer -> Integer -> Integer Source # min :: Integer -> Integer -> Integer Source #

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

Data Float Source #	Since: base-4.0.0.0
Instance details Defined in 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 #
Storable Float Source #	Since: base-2.1
Instance details Defined in 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 #
Enum Float Source #	Since: base-2.1
Instance details Defined in GHC.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.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.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 #
Num Float Source #	Note that due to the presence of `NaN`, not all elements of `Float` have an additive inverse. `>>>` `0/0 + (negate 0/0 :: Float)`NaN Also note that due to the presence of -0, `Float`'s `Num` instance doesn't have an additive identity `>>>` `0 + (-0 :: Float)`0.0 Since: base-2.1
Instance details Defined in GHC.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.Read Methods readsPrec :: Int -> ReadS Float Source # readList :: ReadS [Float] Source # readPrec :: ReadPrec Float Source # readListPrec :: ReadPrec [Float] Source #
Fractional Float Source #	Note that due to the presence of `NaN`, not all elements of `Float` have an multiplicative inverse. `>>>` *`0/0 (recip 0/0 :: Float)`*NaN Since: base-2.1*
Instance details Defined in GHC.Float Methods (/) :: Float -> Float -> Float Source # recip :: Float -> Float Source # fromRational :: Rational -> Float Source #
Real Float Source #	Since: base-2.1
Instance details Defined in GHC.Float Methods toRational :: Float -> Rational Source #
RealFrac Float Source #	Since: base-2.1
Instance details Defined in GHC.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.Float Methods showsPrec :: Int -> Float -> ShowS Source # show :: Float -> String Source # showList :: [Float] -> ShowS Source #
PrintfArg Float Source #	Since: base-2.1
Instance details Defined in Text.Printf Methods formatArg :: Float -> FieldFormatter Source # parseFormat :: Float -> ModifierParser Source #
Eq Float	Note that due to the presence of `NaN`, `Float`'s `Eq` instance does not satisfy reflexivity. `>>>` `0/0 == (0/0 :: Float)`False Also note that `Float`'s `Eq` instance does not satisfy extensionality: `>>>` `0 == (-0 :: Float)`True `>>>` `recip 0 == recip (-0 :: Float)`False
Instance details Defined in GHC.Classes Methods (==) :: Float -> Float -> Bool Source # (/=) :: Float -> Float -> Bool Source #
Ord Float	Note that due to the presence of `NaN`, `Float`'s `Ord` instance does not satisfy reflexivity. `>>>` `0/0 <= (0/0 :: Float)`False Also note that, due to the same, `Ord`'s operator interactions are not respected by `Float`'s instance: `>>>` `(0/0 :: Float) > 1`False `>>>` `compare (0/0 :: Float) 1`GT
Instance details Defined in GHC.Classes Methods compare :: Float -> Float -> Ordering Source # (<) :: Float -> Float -> Bool Source # (<=) :: Float -> Float -> Bool Source # (>) :: Float -> Float -> Bool Source # (>=) :: Float -> Float -> Bool Source # max :: Float -> Float -> Float Source # min :: Float -> Float -> Float Source #
Generic1 (URec Float :: k -> Type) Source #
Instance details Defined in GHC.Generics Associated Types type Rep1 (URec Float) :: k -> Type Source # Methods from1 :: forall (a :: k0). URec Float a -> Rep1 (URec Float) a Source # to1 :: forall (a :: k0). Rep1 (URec Float) a -> URec Float a Source #
Foldable (UFloat :: TYPE LiftedRep -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => UFloat m -> m Source # foldMap :: Monoid m => (a -> m) -> UFloat a -> m Source # foldMap' :: Monoid m => (a -> m) -> UFloat a -> m Source # foldr :: (a -> b -> b) -> b -> UFloat a -> b Source # foldr' :: (a -> b -> b) -> b -> UFloat a -> b Source # foldl :: (b -> a -> b) -> b -> UFloat a -> b Source # foldl' :: (b -> a -> b) -> b -> UFloat a -> b Source # foldr1 :: (a -> a -> a) -> UFloat a -> a Source # foldl1 :: (a -> a -> a) -> UFloat a -> a Source # toList :: UFloat a -> [a] Source # null :: UFloat a -> Bool Source # length :: UFloat a -> Int Source # elem :: Eq a => a -> UFloat a -> Bool Source # maximum :: Ord a => UFloat a -> a Source # minimum :: Ord a => UFloat a -> a Source # 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 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 LiftedRep -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec Float a -> URec Float b Source # (<$) :: a -> URec Float b -> URec Float a Source #
Generic (URec Float p) Source #
Instance details Defined in GHC.Generics Associated Types type Rep (URec Float p) :: Type -> Type Source # 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.Generics Methods showsPrec :: Int -> URec Float p -> ShowS Source # show :: URec Float p -> String Source # showList :: [URec Float p] -> ShowS Source #
Eq (URec Float p) Source #
Instance details Defined in GHC.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.Generics Methods compare :: URec Float p -> URec Float p -> Ordering Source # (<) :: URec Float p -> URec Float p -> Bool Source # (<=) :: URec Float p -> URec Float p -> Bool Source # (>) :: URec Float p -> URec Float p -> Bool Source # (>=) :: URec Float p -> URec Float p -> Bool Source # max :: URec Float p -> URec Float p -> URec Float p Source # min :: URec Float p -> URec Float p -> URec Float p Source #
data URec Float (p :: k) Source #	Used for marking occurrences of `Float#` Since: base-4.9.0.0
Instance details Defined in GHC.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.Generics type Rep1 (URec Float :: k -> Type) = D1 ('MetaData "URec" "GHC.Generics" "base" '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.Generics type Rep (URec Float p) = D1 ('MetaData "URec" "GHC.Generics" "base" '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

Data Double Source #	Since: base-4.0.0.0
Instance details Defined in 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 #
Storable Double Source #	Since: base-2.1
Instance details Defined in 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 #
Enum Double Source #	Since: base-2.1
Instance details Defined in GHC.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.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.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 #
Num Double Source #	Note that due to the presence of `NaN`, not all elements of `Double` have an additive inverse. `>>>` `0/0 + (negate 0/0 :: Double)`NaN Also note that due to the presence of -0, `Double`'s `Num` instance doesn't have an additive identity `>>>` `0 + (-0 :: Double)`0.0 Since: base-2.1
Instance details Defined in GHC.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.Read Methods readsPrec :: Int -> ReadS Double Source # readList :: ReadS [Double] Source # readPrec :: ReadPrec Double Source # readListPrec :: ReadPrec [Double] Source #
Fractional Double Source #	Note that due to the presence of `NaN`, not all elements of `Double` have an multiplicative inverse. `>>>` *`0/0 (recip 0/0 :: Double)`*NaN Since: base-2.1*
Instance details Defined in GHC.Float Methods (/) :: Double -> Double -> Double Source # recip :: Double -> Double Source # fromRational :: Rational -> Double Source #
Real Double Source #	Since: base-2.1
Instance details Defined in GHC.Float Methods toRational :: Double -> Rational Source #
RealFrac Double Source #	Since: base-2.1
Instance details Defined in GHC.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.Float Methods showsPrec :: Int -> Double -> ShowS Source # show :: Double -> String Source # showList :: [Double] -> ShowS Source #
PrintfArg Double Source #	Since: base-2.1
Instance details Defined in Text.Printf Methods formatArg :: Double -> FieldFormatter Source # parseFormat :: Double -> ModifierParser Source #
Eq Double	Note that due to the presence of `NaN`, `Double`'s `Eq` instance does not satisfy reflexivity. `>>>` `0/0 == (0/0 :: Double)`False Also note that `Double`'s `Eq` instance does not satisfy substitutivity: `>>>` `0 == (-0 :: Double)`True `>>>` `recip 0 == recip (-0 :: Double)`False
Instance details Defined in GHC.Classes Methods (==) :: Double -> Double -> Bool Source # (/=) :: Double -> Double -> Bool Source #
Ord Double	Note that due to the presence of `NaN`, `Double`'s `Ord` instance does not satisfy reflexivity. `>>>` `0/0 <= (0/0 :: Double)`False Also note that, due to the same, `Ord`'s operator interactions are not respected by `Double`'s instance: `>>>` `(0/0 :: Double) > 1`False `>>>` `compare (0/0 :: Double) 1`GT
Instance details Defined in GHC.Classes Methods compare :: Double -> Double -> Ordering Source # (<) :: Double -> Double -> Bool Source # (<=) :: Double -> Double -> Bool Source # (>) :: Double -> Double -> Bool Source # (>=) :: Double -> Double -> Bool Source # max :: Double -> Double -> Double Source # min :: Double -> Double -> Double Source #
Generic1 (URec Double :: k -> Type) Source #
Instance details Defined in GHC.Generics Associated Types type Rep1 (URec Double) :: k -> Type Source # Methods from1 :: forall (a :: k0). URec Double a -> Rep1 (URec Double) a Source # to1 :: forall (a :: k0). Rep1 (URec Double) a -> URec Double a Source #
Foldable (UDouble :: TYPE LiftedRep -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => UDouble m -> m Source # foldMap :: Monoid m => (a -> m) -> UDouble a -> m Source # foldMap' :: Monoid m => (a -> m) -> UDouble a -> m Source # foldr :: (a -> b -> b) -> b -> UDouble a -> b Source # foldr' :: (a -> b -> b) -> b -> UDouble a -> b Source # foldl :: (b -> a -> b) -> b -> UDouble a -> b Source # foldl' :: (b -> a -> b) -> b -> UDouble a -> b Source # foldr1 :: (a -> a -> a) -> UDouble a -> a Source # foldl1 :: (a -> a -> a) -> UDouble a -> a Source # toList :: UDouble a -> [a] Source # null :: UDouble a -> Bool Source # length :: UDouble a -> Int Source # elem :: Eq a => a -> UDouble a -> Bool Source # maximum :: Ord a => UDouble a -> a Source # minimum :: Ord a => UDouble a -> a Source # 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 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 LiftedRep -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec Double a -> URec Double b Source # (<$) :: a -> URec Double b -> URec Double a Source #
Generic (URec Double p) Source #
Instance details Defined in GHC.Generics Associated Types type Rep (URec Double p) :: Type -> Type Source # 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.Generics Methods showsPrec :: Int -> URec Double p -> ShowS Source # show :: URec Double p -> String Source # showList :: [URec Double p] -> ShowS Source #
Eq (URec Double p) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.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.Generics Methods compare :: URec Double p -> URec Double p -> Ordering Source # (<) :: URec Double p -> URec Double p -> Bool Source # (<=) :: URec Double p -> URec Double p -> Bool Source # (>) :: URec Double p -> URec Double p -> Bool Source # (>=) :: URec Double p -> URec Double p -> Bool Source # max :: URec Double p -> URec Double p -> URec Double p Source # min :: URec Double p -> URec Double p -> URec Double p Source #
data URec Double (p :: k) Source #	Used for marking occurrences of `Double#` Since: base-4.9.0.0
Instance details Defined in GHC.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.Generics type Rep1 (URec Double :: k -> Type) = D1 ('MetaData "URec" "GHC.Generics" "base" '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.Generics type Rep (URec Double p) = D1 ('MetaData "URec" "GHC.Generics" "base" '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

Data Word Source #	Since: base-4.0.0.0
Instance details Defined in 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 #
Storable Word Source #	Since: base-2.1
Instance details Defined in 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 #
Bits Word Source #	Since: base-2.1
Instance details Defined in GHC.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.Bits Methods finiteBitSize :: Word -> Int Source # countLeadingZeros :: Word -> Int Source # countTrailingZeros :: Word -> Int Source #
Bounded Word Source #	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: Word Source # maxBound :: Word Source #
Enum Word Source #	Since: base-2.1
Instance details Defined in GHC.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 #
Ix Word Source #	Since: base-4.6.0.0
Instance details Defined in GHC.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.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.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.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.Real Methods toRational :: Word -> Rational Source #
Show Word Source #	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> Word -> ShowS Source # show :: Word -> String Source # showList :: [Word] -> ShowS Source #
PrintfArg Word Source #	Since: base-2.1
Instance details Defined in Text.Printf Methods formatArg :: Word -> FieldFormatter Source # parseFormat :: Word -> ModifierParser Source #
Eq Word
Instance details Defined in GHC.Classes Methods (==) :: Word -> Word -> Bool Source # (/=) :: Word -> Word -> Bool Source #
Ord Word
Instance details Defined in GHC.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 #
Generic1 (URec Word :: k -> Type) Source #
Instance details Defined in GHC.Generics Associated Types type Rep1 (URec Word) :: k -> Type Source # Methods from1 :: forall (a :: k0). URec Word a -> Rep1 (URec Word) a Source # to1 :: forall (a :: k0). Rep1 (URec Word) a -> URec Word a Source #
Foldable (UWord :: TYPE LiftedRep -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => UWord m -> m Source # foldMap :: Monoid m => (a -> m) -> UWord a -> m Source # foldMap' :: Monoid m => (a -> m) -> UWord a -> m Source # foldr :: (a -> b -> b) -> b -> UWord a -> b Source # foldr' :: (a -> b -> b) -> b -> UWord a -> b Source # foldl :: (b -> a -> b) -> b -> UWord a -> b Source # foldl' :: (b -> a -> b) -> b -> UWord a -> b Source # foldr1 :: (a -> a -> a) -> UWord a -> a Source # foldl1 :: (a -> a -> a) -> UWord a -> a Source # toList :: UWord a -> [a] Source # null :: UWord a -> Bool Source # length :: UWord a -> Int Source # elem :: Eq a => a -> UWord a -> Bool Source # maximum :: Ord a => UWord a -> a Source # minimum :: Ord a => UWord a -> a Source # 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 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 LiftedRep -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec Word a -> URec Word b Source # (<$) :: a -> URec Word b -> URec Word a Source #
Generic (URec Word p) Source #
Instance details Defined in GHC.Generics Associated Types type Rep (URec Word p) :: Type -> Type Source # 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.Generics Methods showsPrec :: Int -> URec Word p -> ShowS Source # show :: URec Word p -> String Source # showList :: [URec Word p] -> ShowS Source #
Eq (URec Word p) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.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.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 #
data URec Word (p :: k) Source #	Used for marking occurrences of `Word#` Since: base-4.9.0.0
Instance details Defined in GHC.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.Generics type Rep1 (URec Word :: k -> Type) = D1 ('MetaData "URec" "GHC.Generics" "base" '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.Generics type Rep (URec Word p) = D1 ('MetaData "URec" "GHC.Generics" "base" '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)

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 CBool Source #
Instance details Defined in 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 Foreign.Ptr Methods (+) :: WordPtr -> WordPtr -> WordPtr Source # (-) :: WordPtr -> WordPtr -> WordPtr Source # (*) :: WordPtr -> WordPtr -> WordPtr Source # negate :: WordPtr -> WordPtr Source # abs :: WordPtr -> WordPtr Source # signum :: WordPtr -> WordPtr Source # fromInteger :: Integer -> WordPtr Source #
Num Int16 Source #	Since: base-2.1
Instance details Defined in GHC.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.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.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.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 Word16 Source #	Since: base-2.1
Instance details Defined in GHC.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.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.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.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 CBlkCnt Source #
Instance details Defined in 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 Integer Source #	Since: base-2.1
Instance details Defined in GHC.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.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 #	Note that due to the presence of `NaN`, not all elements of `Double` have an additive inverse. `>>>` `0/0 + (negate 0/0 :: Double)`NaN Also note that due to the presence of -0, `Double`'s `Num` instance doesn't have an additive identity `>>>` `0 + (-0 :: Double)`0.0 Since: base-2.1
Instance details Defined in GHC.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 #	Note that due to the presence of `NaN`, not all elements of `Float` have an additive inverse. `>>>` `0/0 + (negate 0/0 :: Float)`NaN Also note that due to the presence of -0, `Float`'s `Num` instance doesn't have an additive identity `>>>` `0 + (-0 :: Float)`0.0 Since: base-2.1
Instance details Defined in GHC.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.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.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 (Identity a) Source #	Since: base-4.9.0.0
Instance details Defined in 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 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 (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 (Product a) Source #	Since: base-4.7.0.0
Instance details Defined in 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 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.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 #	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 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 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 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 #

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

Methods

toRational :: a -> Rational Source #

the rational equivalent of its real argument with full precision

Instances

Instances details

Real CBool Source #
Instance details Defined in Foreign.C.Types Methods toRational :: CBool -> Rational Source #
Real CChar Source #
Instance details Defined in Foreign.C.Types Methods toRational :: CChar -> Rational Source #
Real CClock Source #
Instance details Defined in Foreign.C.Types Methods toRational :: CClock -> Rational Source #
Real CDouble Source #
Instance details Defined in Foreign.C.Types Methods toRational :: CDouble -> Rational Source #
Real CFloat Source #
Instance details Defined in Foreign.C.Types Methods toRational :: CFloat -> Rational Source #
Real CInt Source #
Instance details Defined in Foreign.C.Types Methods toRational :: CInt -> Rational Source #
Real CIntMax Source #
Instance details Defined in Foreign.C.Types Methods toRational :: CIntMax -> Rational Source #
Real CIntPtr Source #
Instance details Defined in Foreign.C.Types Methods toRational :: CIntPtr -> Rational Source #
Real CLLong Source #
Instance details Defined in Foreign.C.Types Methods toRational :: CLLong -> Rational Source #
Real CLong Source #
Instance details Defined in Foreign.C.Types Methods toRational :: CLong -> Rational Source #
Real CPtrdiff Source #
Instance details Defined in Foreign.C.Types Methods toRational :: CPtrdiff -> Rational Source #
Real CSChar Source #
Instance details Defined in Foreign.C.Types Methods toRational :: CSChar -> Rational Source #
Real CSUSeconds Source #
Instance details Defined in Foreign.C.Types Methods toRational :: CSUSeconds -> Rational Source #
Real CShort Source #
Instance details Defined in Foreign.C.Types Methods toRational :: CShort -> Rational Source #
Real CSigAtomic Source #
Instance details Defined in Foreign.C.Types Methods toRational :: CSigAtomic -> Rational Source #
Real CSize Source #
Instance details Defined in Foreign.C.Types Methods toRational :: CSize -> Rational Source #
Real CTime Source #
Instance details Defined in Foreign.C.Types Methods toRational :: CTime -> Rational Source #
Real CUChar Source #
Instance details Defined in Foreign.C.Types Methods toRational :: CUChar -> Rational Source #
Real CUInt Source #
Instance details Defined in Foreign.C.Types Methods toRational :: CUInt -> Rational Source #
Real CUIntMax Source #
Instance details Defined in Foreign.C.Types Methods toRational :: CUIntMax -> Rational Source #
Real CUIntPtr Source #
Instance details Defined in Foreign.C.Types Methods toRational :: CUIntPtr -> Rational Source #
Real CULLong Source #
Instance details Defined in Foreign.C.Types Methods toRational :: CULLong -> Rational Source #
Real CULong Source #
Instance details Defined in Foreign.C.Types Methods toRational :: CULong -> Rational Source #
Real CUSeconds Source #
Instance details Defined in Foreign.C.Types Methods toRational :: CUSeconds -> Rational Source #
Real CUShort Source #
Instance details Defined in Foreign.C.Types Methods toRational :: CUShort -> Rational Source #
Real CWchar Source #
Instance details Defined in Foreign.C.Types Methods toRational :: CWchar -> Rational Source #
Real IntPtr Source #
Instance details Defined in Foreign.Ptr Methods toRational :: IntPtr -> Rational Source #
Real WordPtr Source #
Instance details Defined in Foreign.Ptr Methods toRational :: WordPtr -> Rational Source #
Real Int16 Source #	Since: base-2.1
Instance details Defined in GHC.Int Methods toRational :: Int16 -> Rational Source #
Real Int32 Source #	Since: base-2.1
Instance details Defined in GHC.Int Methods toRational :: Int32 -> Rational Source #
Real Int64 Source #	Since: base-2.1
Instance details Defined in GHC.Int Methods toRational :: Int64 -> Rational Source #
Real Int8 Source #	Since: base-2.1
Instance details Defined in GHC.Int Methods toRational :: Int8 -> Rational Source #
Real Word16 Source #	Since: base-2.1
Instance details Defined in GHC.Word Methods toRational :: Word16 -> Rational Source #
Real Word32 Source #	Since: base-2.1
Instance details Defined in GHC.Word Methods toRational :: Word32 -> Rational Source #
Real Word64 Source #	Since: base-2.1
Instance details Defined in GHC.Word Methods toRational :: Word64 -> Rational Source #
Real Word8 Source #	Since: base-2.1
Instance details Defined in GHC.Word Methods toRational :: Word8 -> Rational Source #
Real CBlkCnt Source #
Instance details Defined in System.Posix.Types Methods toRational :: CBlkCnt -> Rational Source #
Real CBlkSize Source #
Instance details Defined in System.Posix.Types Methods toRational :: CBlkSize -> Rational Source #
Real CCc Source #
Instance details Defined in System.Posix.Types Methods toRational :: CCc -> Rational Source #
Real CClockId Source #
Instance details Defined in System.Posix.Types Methods toRational :: CClockId -> Rational Source #
Real CDev Source #
Instance details Defined in System.Posix.Types Methods toRational :: CDev -> Rational Source #
Real CFsBlkCnt Source #
Instance details Defined in System.Posix.Types Methods toRational :: CFsBlkCnt -> Rational Source #
Real CFsFilCnt Source #
Instance details Defined in System.Posix.Types Methods toRational :: CFsFilCnt -> Rational Source #
Real CGid Source #
Instance details Defined in System.Posix.Types Methods toRational :: CGid -> Rational Source #
Real CId Source #
Instance details Defined in System.Posix.Types Methods toRational :: CId -> Rational Source #
Real CIno Source #
Instance details Defined in System.Posix.Types Methods toRational :: CIno -> Rational Source #
Real CKey Source #
Instance details Defined in System.Posix.Types Methods toRational :: CKey -> Rational Source #
Real CMode Source #
Instance details Defined in System.Posix.Types Methods toRational :: CMode -> Rational Source #
Real CNfds Source #
Instance details Defined in System.Posix.Types Methods toRational :: CNfds -> Rational Source #
Real CNlink Source #
Instance details Defined in System.Posix.Types Methods toRational :: CNlink -> Rational Source #
Real COff Source #
Instance details Defined in System.Posix.Types Methods toRational :: COff -> Rational Source #
Real CPid Source #
Instance details Defined in System.Posix.Types Methods toRational :: CPid -> Rational Source #
Real CRLim Source #
Instance details Defined in System.Posix.Types Methods toRational :: CRLim -> Rational Source #
Real CSocklen Source #
Instance details Defined in System.Posix.Types Methods toRational :: CSocklen -> Rational Source #
Real CSpeed Source #
Instance details Defined in System.Posix.Types Methods toRational :: CSpeed -> Rational Source #
Real CSsize Source #
Instance details Defined in System.Posix.Types Methods toRational :: CSsize -> Rational Source #
Real CTcflag Source #
Instance details Defined in System.Posix.Types Methods toRational :: CTcflag -> Rational Source #
Real CUid Source #
Instance details Defined in System.Posix.Types Methods toRational :: CUid -> Rational Source #
Real Fd Source #
Instance details Defined in System.Posix.Types Methods toRational :: Fd -> Rational Source #
Real Integer Source #	Since: base-2.0.1
Instance details Defined in GHC.Real Methods toRational :: Integer -> Rational Source #
Real Natural Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Real Methods toRational :: Natural -> Rational Source #
Real Double Source #	Since: base-2.1
Instance details Defined in GHC.Float Methods toRational :: Double -> Rational Source #
Real Float Source #	Since: base-2.1
Instance details Defined in GHC.Float Methods toRational :: Float -> Rational Source #
Real Int Source #	Since: base-2.0.1
Instance details Defined in GHC.Real Methods toRational :: Int -> Rational Source #
Real Word Source #	Since: base-2.1
Instance details Defined in GHC.Real Methods toRational :: Word -> Rational Source #
Real a => Real (Identity a) Source #	Since: base-4.9.0.0
Instance details Defined in 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 Data.Ord Methods toRational :: Down a -> Rational Source #
Integral a => Real (Ratio a) Source #	Since: base-2.0.1
Instance details Defined in GHC.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 Data.Functor.Const Methods toRational :: Const a b -> 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.

Minimal complete definition

quotRem, toInteger

Methods

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

integer division truncated toward zero

rem :: a -> a -> a infixl 7 Source #

integer remainder, satisfying

(x `quot` y)*y + (x `rem` y) == x

div :: a -> a -> a infixl 7 Source #

integer division truncated toward negative infinity

mod :: a -> a -> a infixl 7 Source #

integer modulus, satisfying

(x `div` y)*y + (x `mod` y) == x

quotRem :: a -> a -> (a, a) Source #

simultaneous quot and rem

divMod :: a -> a -> (a, a) Source #

simultaneous div and mod

toInteger :: a -> Integer Source #

conversion to Integer

Instances

Instances details

Integral CBool Source #
Instance details Defined in 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 Foreign.Ptr Methods quot :: WordPtr -> WordPtr -> WordPtr Source # rem :: WordPtr -> WordPtr -> WordPtr Source # div :: WordPtr -> WordPtr -> WordPtr Source # mod :: WordPtr -> WordPtr -> WordPtr Source # quotRem :: WordPtr -> WordPtr -> (WordPtr, WordPtr) Source # divMod :: WordPtr -> WordPtr -> (WordPtr, WordPtr) Source # toInteger :: WordPtr -> Integer Source #
Integral Int16 Source #	Since: base-2.1
Instance details Defined in GHC.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.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.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.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 Word16 Source #	Since: base-2.1
Instance details Defined in GHC.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.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.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.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 CBlkCnt Source #
Instance details Defined in 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 Integer Source #	Since: base-2.0.1
Instance details Defined in GHC.Real Methods quot :: Integer -> Integer -> Integer Source # rem :: Integer -> Integer -> Integer Source # div :: Integer -> Integer -> Integer Source # mod :: Integer -> Integer -> Integer Source # quotRem :: Integer -> Integer -> (Integer, Integer) Source # divMod :: Integer -> Integer -> (Integer, Integer) Source # toInteger :: Integer -> Integer Source #
Integral Natural Source #	Since: base-4.8.0.0
Instance details Defined in GHC.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.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.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 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 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 #

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

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 Foreign.C.Types Methods (/) :: CDouble -> CDouble -> CDouble Source # recip :: CDouble -> CDouble Source # fromRational :: Rational -> CDouble Source #
Fractional CFloat Source #
Instance details Defined in Foreign.C.Types Methods (/) :: CFloat -> CFloat -> CFloat Source # recip :: CFloat -> CFloat Source # fromRational :: Rational -> CFloat Source #
Fractional Double Source #	Note that due to the presence of `NaN`, not all elements of `Double` have an multiplicative inverse. `>>>` *`0/0 (recip 0/0 :: Double)`*NaN Since: base-2.1*
Instance details Defined in GHC.Float Methods (/) :: Double -> Double -> Double Source # recip :: Double -> Double Source # fromRational :: Rational -> Double Source #
Fractional Float Source #	Note that due to the presence of `NaN`, not all elements of `Float` have an multiplicative inverse. `>>>` *`0/0 (recip 0/0 :: Float)`*NaN Since: base-2.1*
Instance details Defined in GHC.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 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 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.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 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 #

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 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 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.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.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 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 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 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 #

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 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 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 #	Since: base-2.1
Instance details Defined in GHC.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 #	Since: base-2.1
Instance details Defined in GHC.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 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 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.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 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 #

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

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

Minimal complete definition

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

Methods

floatRadix :: a -> Integer Source #

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

floatDigits :: a -> Int Source #

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

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

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

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

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

encodeFloat :: Integer -> Int -> a Source #

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

exponent :: a -> Int Source #

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

significand :: a -> a Source #

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

scaleFloat :: Int -> a -> a Source #

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

isNaN :: a -> Bool Source #

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

isInfinite :: a -> Bool Source #

True if the argument is an IEEE infinity or negative infinity

isDenormalized :: a -> Bool Source #

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

isNegativeZero :: a -> Bool Source #

True if the argument is an IEEE negative zero

isIEEE :: a -> Bool Source #

True if the argument is an IEEE floating point number

atan2 :: a -> a -> a Source #

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

Instances

Instances details

RealFloat CDouble Source #
Instance details Defined in 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 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.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.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 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 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 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 #

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

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

general coercion to fractional types

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

Since: base-4.9.0.0

Methods

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

An associative operation.

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

Instances

Instances details

Semigroup All Source #	Since: base-4.9.0.0
Instance details Defined in 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 Data.Semigroup.Internal Methods (<>) :: Any -> Any -> Any Source # sconcat :: NonEmpty Any -> Any Source # stimes :: Integral b => b -> Any -> Any Source #
Semigroup Void Source #	Since: base-4.9.0.0
Instance details Defined in Data.Void Methods (<>) :: Void -> Void -> Void Source # sconcat :: NonEmpty Void -> Void Source # stimes :: Integral b => b -> Void -> Void Source #
Semigroup Event Source #	Since: base-4.10.0.0
Instance details Defined in GHC.Event.Internal.Types Methods (<>) :: Event -> Event -> Event Source # sconcat :: NonEmpty Event -> Event Source # stimes :: Integral b => b -> Event -> Event Source #
Semigroup Lifetime Source #	Since: base-4.10.0.0
Instance details Defined in GHC.Event.Internal.Types Methods (<>) :: Lifetime -> Lifetime -> Lifetime Source # sconcat :: NonEmpty Lifetime -> Lifetime Source # stimes :: Integral b => b -> Lifetime -> Lifetime Source #
Semigroup Ordering Source #	Since: base-4.9.0.0
Instance details Defined in GHC.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.Base Methods (<>) :: () -> () -> () Source # sconcat :: NonEmpty () -> () Source # stimes :: Integral b => b -> () -> () Source #
Bits a => Semigroup (And a) Source #	Since: base-4.16
Instance details Defined in 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 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 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 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 (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 a => Semigroup (Identity a) Source #	Since: base-4.9.0.0
Instance details Defined in 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 #
Semigroup (First a) Source #	Since: base-4.9.0.0
Instance details Defined in 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 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 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 (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 a => Semigroup (Dual a) Source #	Since: base-4.9.0.0
Instance details Defined in 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 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 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 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 #
Semigroup p => Semigroup (Par1 p) Source #	Since: base-4.12.0.0
Instance details Defined in GHC.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 (IO a) Source #	Since: base-4.10.0.0
Instance details Defined in GHC.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 (NonEmpty a) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (<>) :: NonEmpty a -> NonEmpty a -> NonEmpty a Source # sconcat :: NonEmpty (NonEmpty a) -> NonEmpty a Source # stimes :: Integral b => b -> NonEmpty a -> NonEmpty a Source #
Semigroup a => Semigroup (Maybe a) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.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 (a) Source #	Since: base-4.15
Instance details Defined in GHC.Base Methods (<>) :: (a) -> (a) -> (a) Source # sconcat :: NonEmpty (a) -> (a) Source # stimes :: Integral b => b -> (a) -> (a) Source #
Semigroup [a] Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (<>) :: [a] -> [a] -> [a] Source # sconcat :: NonEmpty [a] -> [a] Source # stimes :: Integral b => b -> [a] -> [a] Source #
Semigroup (Either a b) Source #	Since: base-4.9.0.0
Instance details Defined in 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 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 (Proxy s) Source #	Since: base-4.9.0.0
Instance details Defined in 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.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.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.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 b => Semigroup (a -> b) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.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 b) => Semigroup (a, b) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.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 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 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 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.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.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.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.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.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.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.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.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

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

Methods

mempty :: a Source #

Identity of mappend

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

mappend :: a -> a -> a Source #

An associative operation

NOTE: This method is redundant and has the default implementation mappend = (<>) 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 All Source #	Since: base-2.1
Instance details Defined in 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 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.Event.Internal.Types Methods mempty :: Event Source # mappend :: Event -> Event -> Event Source # mconcat :: [Event] -> Event Source #
Monoid Lifetime Source #	`mappend` takes the longer of two lifetimes. Since: base-4.8.0.0
Instance details Defined in GHC.Event.Internal.Types Methods mempty :: Lifetime Source # mappend :: Lifetime -> Lifetime -> Lifetime Source # mconcat :: [Lifetime] -> Lifetime Source #
Monoid Ordering Source #	Since: base-2.1
Instance details Defined in GHC.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.Base Methods mempty :: () Source # mappend :: () -> () -> () Source # mconcat :: [()] -> () 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 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 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 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 Data.Bits Methods mempty :: Xor a Source # mappend :: Xor a -> Xor a -> Xor a Source # mconcat :: [Xor a] -> Xor a 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 #
Monoid a => Monoid (Identity a) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods mempty :: Identity a Source # mappend :: Identity a -> Identity a -> Identity a Source # mconcat :: [Identity a] -> Identity a Source #
Monoid (First a) Source #	Since: base-2.1
Instance details Defined in 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 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 Data.Ord Methods mempty :: Down a Source # mappend :: Down a -> Down a -> Down a Source # mconcat :: [Down a] -> Down 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 (Dual a) Source #	Since: base-2.1
Instance details Defined in 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 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 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 Data.Semigroup.Internal Methods mempty :: Sum a Source # mappend :: Sum a -> Sum a -> Sum a Source # mconcat :: [Sum a] -> Sum a Source #
Monoid p => Monoid (Par1 p) Source #	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods mempty :: Par1 p Source # mappend :: Par1 p -> Par1 p -> Par1 p Source # mconcat :: [Par1 p] -> Par1 p Source #
Monoid a => Monoid (IO a) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.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.Base Methods mempty :: Maybe a Source # mappend :: Maybe a -> Maybe a -> Maybe a Source # mconcat :: [Maybe a] -> Maybe a Source #
Monoid a => Monoid (a) Source #	Since: base-4.15
Instance details Defined in GHC.Base Methods mempty :: (a) Source # mappend :: (a) -> (a) -> (a) Source # mconcat :: [(a)] -> (a) Source #
Monoid [a] Source #	Since: base-2.1
Instance details Defined in GHC.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 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.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.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 b => Monoid (a -> b) Source #	Since: base-2.1
Instance details Defined in GHC.Base Methods mempty :: a -> b Source # mappend :: (a -> b) -> (a -> b) -> a -> b Source # mconcat :: [a -> b] -> a -> b Source #
(Monoid a, Monoid b) => Monoid (a, b) Source #	Since: base-2.1
Instance details Defined in GHC.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 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 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 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.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.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.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.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.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.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.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.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 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.

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.

Instances

Instances details

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

(<*>) :: 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

(*>) :: 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 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 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 Control.Applicative 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 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 Identity Source #	Since: base-4.8.0.0
Instance details Defined in 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 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 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 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 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 Dual Source #	Since: base-4.8.0.0
Instance details Defined in 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 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 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 STM Source #	Since: base-4.8.0.0
Instance details Defined in GHC.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 NoIO Source #	Since: base-4.8.0.0
Instance details Defined in GHC.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.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 ReadP Source #	Since: base-4.6.0.0
Instance details Defined in 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 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.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 NonEmpty Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods pure :: a -> NonEmpty a Source # (<>) :: NonEmpty (a -> b) -> NonEmpty a -> NonEmpty b Source # liftA2 :: (a -> b -> c) -> NonEmpty a -> NonEmpty b -> NonEmpty c Source # (>) :: NonEmpty a -> NonEmpty b -> NonEmpty b Source # (<*) :: NonEmpty a -> NonEmpty b -> NonEmpty a Source #
Applicative Maybe Source #	Since: base-2.1
Instance details Defined in GHC.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.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.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 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 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 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 (Proxy :: Type -> Type) Source #	Since: base-4.7.0.0
Instance details Defined in 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.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.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.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 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 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 #
Applicative f => Applicative (Ap f) Source #	Since: base-4.12.0.0
Instance details Defined in 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 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 #
Applicative f => Applicative (Rec1 f) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.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.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.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.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.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.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.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.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 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 lists, Maybe and IO defined in the Prelude satisfy these laws.

Minimal complete definition

(>>=)

Methods

(>>=) :: forall a b. 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

(>>) :: forall a b. 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

return :: a -> m a Source #

Inject a value into the monadic type.

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 Identity Source #	Since: base-4.8.0.0
Instance details Defined in 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 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 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 Data.Ord Methods (>>=) :: Down a -> (a -> Down b) -> Down b Source # (>>) :: Down a -> Down b -> Down b Source # return :: a -> Down 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 Dual Source #	Since: base-4.8.0.0
Instance details Defined in 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 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 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 STM Source #	Since: base-4.3.0.0
Instance details Defined in GHC.Conc.Sync Methods (>>=) :: STM a -> (a -> STM b) -> STM b Source # (>>) :: STM a -> STM b -> STM b Source # return :: a -> STM a Source #
Monad NoIO Source #	Since: base-4.4.0.0
Instance details Defined in GHC.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.Generics Methods (>>=) :: Par1 a -> (a -> Par1 b) -> Par1 b Source # (>>) :: Par1 a -> Par1 b -> Par1 b Source # return :: a -> Par1 a Source #
Monad ReadP Source #	Since: base-2.1
Instance details Defined in 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 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.Base Methods (>>=) :: IO a -> (a -> IO b) -> IO b Source # (>>) :: IO a -> IO b -> IO b Source # return :: a -> IO a Source #
Monad NonEmpty Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods (>>=) :: NonEmpty a -> (a -> NonEmpty b) -> NonEmpty b Source # (>>) :: NonEmpty a -> NonEmpty b -> NonEmpty b Source # return :: a -> NonEmpty a Source #
Monad Maybe Source #	Since: base-2.1
Instance details Defined in GHC.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.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.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 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 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 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 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.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.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.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 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 f => Monad (Ap f) Source #	Since: base-4.12.0.0
Instance details Defined in 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 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.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.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.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.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.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.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 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

Since: base-4.9.0.0

Methods

fail :: String -> m a Source #

Instances

Instances details

MonadFail ReadP Source #	Since: base-4.9.0.0
Instance details Defined in Text.ParserCombinators.ReadP Methods fail :: String -> ReadP a Source #
MonadFail ReadPrec Source #	Since: base-4.9.0.0
Instance details Defined in Text.ParserCombinators.ReadPrec Methods fail :: String -> ReadPrec a Source #
MonadFail IO Source #	Since: base-4.9.0.0
Instance details Defined in Control.Monad.Fail Methods fail :: String -> IO a Source #
MonadFail Maybe Source #	Since: base-4.9.0.0
Instance details Defined in Control.Monad.Fail Methods fail :: String -> Maybe a Source #
MonadFail [] Source #	Since: base-4.9.0.0
Instance details Defined in Control.Monad.Fail Methods fail :: String -> [a] Source #
MonadFail (ST s) Source #	Since: base-4.10
Instance details Defined in Control.Monad.ST.Lazy.Imp Methods fail :: String -> ST s a Source #
MonadFail (ST s) Source #	Since: base-4.11.0.0
Instance details Defined in GHC.ST Methods fail :: String -> ST s a Source #
MonadFail f => MonadFail (Ap f) Source #	Since: base-4.12.0.0
Instance details Defined in Data.Monoid Methods fail :: 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.

Folds and traversals

class Foldable t 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 $\mathcal{O}(n)$ 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.

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 :: forall a. Ord a => t a -> a Source #

The largest element of a non-empty structure.

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 :: forall a. Ord a => t a -> a Source #

The least element of a non-empty structure.

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 ZipList Source #	Since: base-4.9.0.0
Instance details Defined in Control.Applicative Methods fold :: Monoid m => ZipList m -> m Source # foldMap :: Monoid m => (a -> m) -> ZipList a -> m Source # foldMap' :: Monoid m => (a -> m) -> ZipList a -> m Source # foldr :: (a -> b -> b) -> b -> ZipList a -> b Source # foldr' :: (a -> b -> b) -> b -> ZipList a -> b Source # foldl :: (b -> a -> b) -> b -> ZipList a -> b Source # foldl' :: (b -> a -> b) -> b -> ZipList a -> b Source # foldr1 :: (a -> a -> a) -> ZipList a -> a Source # foldl1 :: (a -> a -> a) -> ZipList a -> a Source # toList :: ZipList a -> [a] Source # null :: ZipList a -> Bool Source # length :: ZipList a -> Int Source # elem :: Eq a => a -> ZipList a -> Bool Source # maximum :: Ord a => ZipList a -> a Source # minimum :: Ord a => ZipList a -> a Source # sum :: Num a => ZipList a -> a Source # product :: Num a => ZipList a -> a Source #
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 Identity Source #	Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity Methods fold :: Monoid m => Identity m -> m Source # foldMap :: Monoid m => (a -> m) -> Identity a -> m Source # foldMap' :: Monoid m => (a -> m) -> Identity a -> m Source # foldr :: (a -> b -> b) -> b -> Identity a -> b Source # foldr' :: (a -> b -> b) -> b -> Identity a -> b Source # foldl :: (b -> a -> b) -> b -> Identity a -> b Source # foldl' :: (b -> a -> b) -> b -> Identity a -> b Source # foldr1 :: (a -> a -> a) -> Identity a -> a Source # foldl1 :: (a -> a -> a) -> Identity a -> a Source # toList :: Identity a -> [a] Source # null :: Identity a -> Bool Source # length :: Identity a -> Int Source # elem :: Eq a => a -> Identity a -> Bool Source # maximum :: Ord a => Identity a -> a Source # minimum :: Ord a => Identity a -> a Source # 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 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 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 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 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 Dual Source #	Since: base-4.8.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Dual m -> m Source # foldMap :: Monoid m => (a -> m) -> Dual a -> m Source # foldMap' :: Monoid m => (a -> m) -> Dual a -> m Source # foldr :: (a -> b -> b) -> b -> Dual a -> b Source # foldr' :: (a -> b -> b) -> b -> Dual a -> b Source # foldl :: (b -> a -> b) -> b -> Dual a -> b Source # foldl' :: (b -> a -> b) -> b -> Dual a -> b Source # foldr1 :: (a -> a -> a) -> Dual a -> a Source # foldl1 :: (a -> a -> a) -> Dual a -> a Source # toList :: Dual a -> [a] Source # null :: Dual a -> Bool Source # length :: Dual a -> Int Source # elem :: Eq a => a -> Dual a -> Bool Source # maximum :: Ord a => Dual a -> a Source # minimum :: Ord a => Dual a -> a Source # 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 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 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 Par1 Source #	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Par1 m -> m Source # foldMap :: Monoid m => (a -> m) -> Par1 a -> m Source # foldMap' :: Monoid m => (a -> m) -> Par1 a -> m Source # foldr :: (a -> b -> b) -> b -> Par1 a -> b Source # foldr' :: (a -> b -> b) -> b -> Par1 a -> b Source # foldl :: (b -> a -> b) -> b -> Par1 a -> b Source # foldl' :: (b -> a -> b) -> b -> Par1 a -> b Source # foldr1 :: (a -> a -> a) -> Par1 a -> a Source # foldl1 :: (a -> a -> a) -> Par1 a -> a Source # toList :: Par1 a -> [a] Source # null :: Par1 a -> Bool Source # length :: Par1 a -> Int Source # elem :: Eq a => a -> Par1 a -> Bool Source # maximum :: Ord a => Par1 a -> a Source # minimum :: Ord a => Par1 a -> a Source # sum :: Num a => Par1 a -> a Source # product :: Num a => Par1 a -> a Source #
Foldable NonEmpty Source #	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => NonEmpty m -> m Source # foldMap :: Monoid m => (a -> m) -> NonEmpty a -> m Source # foldMap' :: Monoid m => (a -> m) -> NonEmpty a -> m Source # foldr :: (a -> b -> b) -> b -> NonEmpty a -> b Source # foldr' :: (a -> b -> b) -> b -> NonEmpty a -> b Source # foldl :: (b -> a -> b) -> b -> NonEmpty a -> b Source # foldl' :: (b -> a -> b) -> b -> NonEmpty a -> b Source # foldr1 :: (a -> a -> a) -> NonEmpty a -> a Source # foldl1 :: (a -> a -> a) -> NonEmpty a -> a Source # toList :: NonEmpty a -> [a] Source # null :: NonEmpty a -> Bool Source # length :: NonEmpty a -> Int Source # elem :: Eq a => a -> NonEmpty a -> Bool Source # maximum :: Ord a => NonEmpty a -> a Source # minimum :: Ord a => NonEmpty a -> a Source # sum :: Num a => NonEmpty a -> a Source # product :: Num a => NonEmpty a -> a Source #
Foldable Maybe Source #	Since: base-2.1
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Maybe m -> m Source # foldMap :: Monoid m => (a -> m) -> Maybe a -> m Source # foldMap' :: Monoid m => (a -> m) -> Maybe a -> m Source # foldr :: (a -> b -> b) -> b -> Maybe a -> b Source # foldr' :: (a -> b -> b) -> b -> Maybe a -> b Source # foldl :: (b -> a -> b) -> b -> Maybe a -> b Source # foldl' :: (b -> a -> b) -> b -> Maybe a -> b Source # foldr1 :: (a -> a -> a) -> Maybe a -> a Source # foldl1 :: (a -> a -> a) -> Maybe a -> a Source # toList :: Maybe a -> [a] Source # null :: Maybe a -> Bool Source # length :: Maybe a -> Int Source # elem :: Eq a => a -> Maybe a -> Bool Source # maximum :: Ord a => Maybe a -> a Source # minimum :: Ord a => Maybe a -> a Source # 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 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 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 (Either a) Source #	Since: base-4.7.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Either a m -> m Source # foldMap :: Monoid m => (a0 -> m) -> Either a a0 -> m Source # foldMap' :: Monoid m => (a0 -> m) -> Either a a0 -> m Source # foldr :: (a0 -> b -> b) -> b -> Either a a0 -> b Source # foldr' :: (a0 -> b -> b) -> b -> Either a a0 -> b Source # foldl :: (b -> a0 -> b) -> b -> Either a a0 -> b Source # foldl' :: (b -> a0 -> b) -> b -> Either a a0 -> b Source # foldr1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 Source # foldl1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 Source # toList :: Either a a0 -> [a0] Source # null :: Either a a0 -> Bool Source # length :: Either a a0 -> Int Source # elem :: Eq a0 => a0 -> Either a a0 -> Bool Source # maximum :: Ord a0 => Either a a0 -> a0 Source # minimum :: Ord a0 => Either a a0 -> a0 Source # sum :: Num a0 => Either a a0 -> a0 Source # product :: Num a0 => Either a a0 -> a0 Source #
Foldable (Proxy :: TYPE LiftedRep -> Type) Source #	Since: base-4.7.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Proxy m -> m Source # foldMap :: Monoid m => (a -> m) -> Proxy a -> m Source # foldMap' :: Monoid m => (a -> m) -> Proxy a -> m Source # foldr :: (a -> b -> b) -> b -> Proxy a -> b Source # foldr' :: (a -> b -> b) -> b -> Proxy a -> b Source # foldl :: (b -> a -> b) -> b -> Proxy a -> b Source # foldl' :: (b -> a -> b) -> b -> Proxy a -> b Source # foldr1 :: (a -> a -> a) -> Proxy a -> a Source # foldl1 :: (a -> a -> a) -> Proxy a -> a Source # toList :: Proxy a -> [a] Source # null :: Proxy a -> Bool Source # length :: Proxy a -> Int Source # elem :: Eq a => a -> Proxy a -> Bool Source # maximum :: Ord a => Proxy a -> a Source # minimum :: Ord a => Proxy a -> a Source # sum :: Num a => Proxy a -> a Source # product :: Num a => Proxy 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 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 (U1 :: TYPE LiftedRep -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => U1 m -> m Source # foldMap :: Monoid m => (a -> m) -> U1 a -> m Source # foldMap' :: Monoid m => (a -> m) -> U1 a -> m Source # foldr :: (a -> b -> b) -> b -> U1 a -> b Source # foldr' :: (a -> b -> b) -> b -> U1 a -> b Source # foldl :: (b -> a -> b) -> b -> U1 a -> b Source # foldl' :: (b -> a -> b) -> b -> U1 a -> b Source # foldr1 :: (a -> a -> a) -> U1 a -> a Source # foldl1 :: (a -> a -> a) -> U1 a -> a Source # toList :: U1 a -> [a] Source # 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 LiftedRep -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => UAddr m -> m Source # foldMap :: Monoid m => (a -> m) -> UAddr a -> m Source # foldMap' :: Monoid m => (a -> m) -> UAddr a -> m Source # foldr :: (a -> b -> b) -> b -> UAddr a -> b Source # foldr' :: (a -> b -> b) -> b -> UAddr a -> b Source # foldl :: (b -> a -> b) -> b -> UAddr a -> b Source # foldl' :: (b -> a -> b) -> b -> UAddr a -> b Source # foldr1 :: (a -> a -> a) -> UAddr a -> a Source # foldl1 :: (a -> a -> a) -> UAddr a -> a Source # toList :: UAddr a -> [a] Source # null :: UAddr a -> Bool Source # length :: UAddr a -> Int Source # elem :: Eq a => a -> UAddr a -> Bool Source # maximum :: Ord a => UAddr a -> a Source # minimum :: Ord a => UAddr a -> a Source # sum :: Num a => UAddr a -> a Source # product :: Num a => UAddr a -> a Source #
Foldable (UChar :: TYPE LiftedRep -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => UChar m -> m Source # foldMap :: Monoid m => (a -> m) -> UChar a -> m Source # foldMap' :: Monoid m => (a -> m) -> UChar a -> m Source # foldr :: (a -> b -> b) -> b -> UChar a -> b Source # foldr' :: (a -> b -> b) -> b -> UChar a -> b Source # foldl :: (b -> a -> b) -> b -> UChar a -> b Source # foldl' :: (b -> a -> b) -> b -> UChar a -> b Source # foldr1 :: (a -> a -> a) -> UChar a -> a Source # foldl1 :: (a -> a -> a) -> UChar a -> a Source # toList :: UChar a -> [a] Source # null :: UChar a -> Bool Source # length :: UChar a -> Int Source # elem :: Eq a => a -> UChar a -> Bool Source # maximum :: Ord a => UChar a -> a Source # minimum :: Ord a => UChar a -> a Source # sum :: Num a => UChar a -> a Source # product :: Num a => UChar a -> a Source #
Foldable (UDouble :: TYPE LiftedRep -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => UDouble m -> m Source # foldMap :: Monoid m => (a -> m) -> UDouble a -> m Source # foldMap' :: Monoid m => (a -> m) -> UDouble a -> m Source # foldr :: (a -> b -> b) -> b -> UDouble a -> b Source # foldr' :: (a -> b -> b) -> b -> UDouble a -> b Source # foldl :: (b -> a -> b) -> b -> UDouble a -> b Source # foldl' :: (b -> a -> b) -> b -> UDouble a -> b Source # foldr1 :: (a -> a -> a) -> UDouble a -> a Source # foldl1 :: (a -> a -> a) -> UDouble a -> a Source # toList :: UDouble a -> [a] Source # null :: UDouble a -> Bool Source # length :: UDouble a -> Int Source # elem :: Eq a => a -> UDouble a -> Bool Source # maximum :: Ord a => UDouble a -> a Source # minimum :: Ord a => UDouble a -> a Source # sum :: Num a => UDouble a -> a Source # product :: Num a => UDouble a -> a Source #
Foldable (UFloat :: TYPE LiftedRep -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => UFloat m -> m Source # foldMap :: Monoid m => (a -> m) -> UFloat a -> m Source # foldMap' :: Monoid m => (a -> m) -> UFloat a -> m Source # foldr :: (a -> b -> b) -> b -> UFloat a -> b Source # foldr' :: (a -> b -> b) -> b -> UFloat a -> b Source # foldl :: (b -> a -> b) -> b -> UFloat a -> b Source # foldl' :: (b -> a -> b) -> b -> UFloat a -> b Source # foldr1 :: (a -> a -> a) -> UFloat a -> a Source # foldl1 :: (a -> a -> a) -> UFloat a -> a Source # toList :: UFloat a -> [a] Source # null :: UFloat a -> Bool Source # length :: UFloat a -> Int Source # elem :: Eq a => a -> UFloat a -> Bool Source # maximum :: Ord a => UFloat a -> a Source # minimum :: Ord a => UFloat a -> a Source # sum :: Num a => UFloat a -> a Source # product :: Num a => UFloat a -> a Source #
Foldable (UInt :: TYPE LiftedRep -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => UInt m -> m Source # foldMap :: Monoid m => (a -> m) -> UInt a -> m Source # foldMap' :: Monoid m => (a -> m) -> UInt a -> m Source # foldr :: (a -> b -> b) -> b -> UInt a -> b Source # foldr' :: (a -> b -> b) -> b -> UInt a -> b Source # foldl :: (b -> a -> b) -> b -> UInt a -> b Source # foldl' :: (b -> a -> b) -> b -> UInt a -> b Source # foldr1 :: (a -> a -> a) -> UInt a -> a Source # foldl1 :: (a -> a -> a) -> UInt a -> a Source # toList :: UInt a -> [a] Source # null :: UInt a -> Bool Source # length :: UInt a -> Int Source # elem :: Eq a => a -> UInt a -> Bool Source # maximum :: Ord a => UInt a -> a Source # minimum :: Ord a => UInt a -> a Source # sum :: Num a => UInt a -> a Source # product :: Num a => UInt a -> a Source #
Foldable (UWord :: TYPE LiftedRep -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => UWord m -> m Source # foldMap :: Monoid m => (a -> m) -> UWord a -> m Source # foldMap' :: Monoid m => (a -> m) -> UWord a -> m Source # foldr :: (a -> b -> b) -> b -> UWord a -> b Source # foldr' :: (a -> b -> b) -> b -> UWord a -> b Source # foldl :: (b -> a -> b) -> b -> UWord a -> b Source # foldl' :: (b -> a -> b) -> b -> UWord a -> b Source # foldr1 :: (a -> a -> a) -> UWord a -> a Source # foldl1 :: (a -> a -> a) -> UWord a -> a Source # toList :: UWord a -> [a] Source # null :: UWord a -> Bool Source # length :: UWord a -> Int Source # elem :: Eq a => a -> UWord a -> Bool Source # maximum :: Ord a => UWord a -> a Source # minimum :: Ord a => UWord a -> a Source # sum :: Num a => UWord a -> a Source # product :: Num a => UWord a -> a Source #
Foldable (V1 :: TYPE LiftedRep -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => V1 m -> m Source # foldMap :: Monoid m => (a -> m) -> V1 a -> m Source # foldMap' :: Monoid m => (a -> m) -> V1 a -> m Source # foldr :: (a -> b -> b) -> b -> V1 a -> b Source # foldr' :: (a -> b -> b) -> b -> V1 a -> b Source # foldl :: (b -> a -> b) -> b -> V1 a -> b Source # foldl' :: (b -> a -> b) -> b -> V1 a -> b Source # foldr1 :: (a -> a -> a) -> V1 a -> a Source # foldl1 :: (a -> a -> a) -> V1 a -> a Source # toList :: V1 a -> [a] Source # 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 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 LiftedRep -> Type) Source #	Since: base-4.7.0.0
Instance details Defined in Data.Functor.Const Methods fold :: Monoid m0 => Const m m0 -> m0 Source # foldMap :: Monoid m0 => (a -> m0) -> Const m a -> m0 Source # foldMap' :: Monoid m0 => (a -> m0) -> Const m a -> m0 Source # foldr :: (a -> b -> b) -> b -> Const m a -> b Source # foldr' :: (a -> b -> b) -> b -> Const m a -> b Source # foldl :: (b -> a -> b) -> b -> Const m a -> b Source # foldl' :: (b -> a -> b) -> b -> Const m a -> b Source # foldr1 :: (a -> a -> a) -> Const m a -> a Source # foldl1 :: (a -> a -> a) -> Const m a -> a Source # toList :: Const m a -> [a] Source # null :: Const m a -> Bool Source # length :: Const m a -> Int Source # elem :: Eq a => a -> Const m a -> Bool Source # maximum :: Ord a => Const m a -> a Source # minimum :: Ord a => Const m a -> a Source # 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 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 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 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 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 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 LiftedRep -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => K1 i c m -> m Source # foldMap :: Monoid m => (a -> m) -> K1 i c a -> m Source # foldMap' :: Monoid m => (a -> m) -> K1 i c a -> m Source # foldr :: (a -> b -> b) -> b -> K1 i c a -> b Source # foldr' :: (a -> b -> b) -> b -> K1 i c a -> b Source # foldl :: (b -> a -> b) -> b -> K1 i c a -> b Source # foldl' :: (b -> a -> b) -> b -> K1 i c a -> b Source # foldr1 :: (a -> a -> a) -> K1 i c a -> a Source # foldl1 :: (a -> a -> a) -> K1 i c a -> a Source # toList :: K1 i c a -> [a] Source # null :: K1 i c a -> Bool Source # length :: K1 i c a -> Int Source # elem :: Eq a => a -> K1 i c a -> Bool Source # maximum :: Ord a => K1 i c a -> a Source # minimum :: Ord a => K1 i c a -> a Source # 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 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 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 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 ZipList Source #	Since: base-4.9.0.0
Instance details Defined in Data.Traversable 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 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 Identity Source #	Since: base-4.9.0.0
Instance details Defined in 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 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 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 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 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 Dual Source #	Since: base-4.8.0.0
Instance details Defined in 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 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 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 Par1 Source #	Since: base-4.9.0.0
Instance details Defined in 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 NonEmpty Source #	Since: base-4.9.0.0
Instance details Defined in 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 Maybe Source #	Since: base-2.1
Instance details Defined in 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 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 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 (Either a) Source #	Since: base-4.7.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a0 -> f b) -> Either a a0 -> f (Either a b) Source # sequenceA :: Applicative f => Either a (f a0) -> f (Either a a0) Source # mapM :: Monad m => (a0 -> m b) -> Either a a0 -> m (Either a b) Source # sequence :: Monad m => Either a (m a0) -> m (Either a a0) Source #
Traversable (Proxy :: Type -> Type) Source #	Since: base-4.7.0.0
Instance details Defined in 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 (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 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 (U1 :: Type -> Type) Source #	Since: base-4.9.0.0
Instance details Defined in 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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

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

const x is a unary function which evaluates to x for all inputs.

>>> const 42 "hello"
42

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

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

Function composition.

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

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

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

($) :: forall r a (b :: TYPE r). (a -> b) -> a -> b infixr 0 Source #

Application operator. This operator is redundant, since ordinary application (f x) means the same as (f $ x). However, $ has low, right-associative binding precedence, so it sometimes allows parentheses to be omitted; for example:

f $ g $ h x  =  f (g (h x))

It is also useful in higher-order situations, such as map ($ 0) xs, or zipWith ($) fs xs.

Note that ($) is levity-polymorphic in its result type, so that foo $ True where foo :: Bool -> Int# is well-typed.

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 :: forall (r :: RuntimeRep). forall (a :: TYPE r). HasCallStack => [Char] -> a Source #

error stops execution and displays an error message.

errorWithoutStackTrace :: forall (r :: RuntimeRep). forall (a :: TYPE r). [Char] -> a Source #

A variant of error that does not produce a stack trace.

Since: base-4.9.0.0

undefined :: forall (r :: RuntimeRep). forall (a :: TYPE r). 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 :: forall {r :: RuntimeRep} a (b :: TYPE r). a -> b -> b infixr 0 Source #

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

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

($!) :: forall r a (b :: TYPE r). (a -> b) -> a -> b infixr 0 Source #

Strict (call-by-value) application operator. It takes a function and an argument, evaluates the argument to weak head normal form (WHNF), then calls the function with that value.

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, ...]

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

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

Append 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.

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]

>>> filter odd [1, 2, 3]
[1,3]

head :: [a] -> a Source #

$\mathcal{O}(1)$. Extract the first element of a list, which must be non-empty.

>>> head [1, 2, 3]
1
>>> head [1..]
1
>>> head []
*** Exception: Prelude.head: empty list

last :: [a] -> a Source #

$\mathcal{O}(n)$. Extract the last element of a list, which must be finite and non-empty.

>>> last [1, 2, 3]
3
>>> last [1..]
* Hangs forever *
>>> last []
*** Exception: Prelude.last: empty list

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

$\mathcal{O}(1)$. Extract the elements after the head of a list, which must be non-empty.

>>> tail [1, 2, 3]
[2,3]
>>> tail [1]
[]
>>> tail []
*** Exception: Prelude.tail: empty list

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

$\mathcal{O}(n)$. Return all the elements of a list except the last one. The list must be non-empty.

>>> init [1, 2, 3]
[1,2]
>>> init [1]
[]
>>> init []
*** Exception: Prelude.init: empty list

(!!) :: [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.

>>> ['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 #

reverse xs returns the elements of xs in reverse order. xs must be finite.

>>> 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

>>> 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"]
>>> scanl (+) 0 [1..]
* Hangs forever *

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, ...]

>>> 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]
>>> scanl1 (+) [1..]
* Hangs forever *

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.

>>> 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.

>>> 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), ...]

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 10 $ iterate not True
[True,False,True,False...
>>> take 10 $ iterate (+3) 42
[42,45,48,51,54,57,60,63...

repeat :: a -> [a] Source #

repeat x is an infinite list, with x the value of every element.

>>> take 20 $ repeat 17
[17,17,17,17,17,17,17,17,17...

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.

>>> replicate 0 True
[]
>>> replicate (-1) True
[]
>>> replicate 4 True
[True,True,True,True]

cycle :: [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.

>>> cycle []
*** Exception: Prelude.cycle: empty list
>>> take 20 $ cycle [42]
[42,42,42,42,42,42,42,42,42,42...
>>> take 20 $ cycle [2, 5, 7]
[2,5,7,2,5,7,2,5,7,2,5,7...

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.

>>> 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]
[]

It is an instance of the more general genericTake, in which n may be of any integral type.

drop :: Int -> [a] -> [a] Source #

drop n xs returns the suffix of xs after the first n elements, or [] if n >= length xs.

>>> 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]

It is an instance of the more general genericDrop, in which n may be of any integral type.

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.

>>> 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.

>>> 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 longest prefix (possibly empty) of xs of elements that satisfy p and second element is the remainder of the list:

>>> 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])

span p xs is equivalent to (takeWhile p xs, dropWhile p xs)

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 (> 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],[])

break p is equivalent to span (not . p).

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 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])

It is equivalent to (take n xs, drop n xs) when n is not _|_ (splitAt _|_ xs = _|_). splitAt is an instance of the more general genericSplitAt, in which n may be of any integral type.

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.

>>> 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 [1, 2] ['a', 'b']
[(1,'a'),(2,'b')]

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..] []
[]

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.

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..]

For example, zipWith (+) is applied to two lists to produce the list of corresponding sums:

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

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.

zipWith3 :: (a -> b -> c -> d) -> [a] -> [b] -> [c] -> [d] Source #

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..]

unzip :: [(a, b)] -> ([a], [b]) Source #

unzip transforms a list of pairs into a list of first components and a list of second components.

>>> 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, analogous to unzip.

>>> unzip3 []
([],[],[])
>>> unzip3 [(1, 'a', True), (2, 'b', False)]
([1,2],"ab",[True,False])

Functions on strings

lines :: String -> [String] Source #

lines breaks a string up into a list of strings at newline characters. The resulting strings do not contain newlines.

Note that after splitting the string at newline characters, the last part of the string is considered a line even if it doesn't end with a newline. For example,

>>> lines ""
[]

>>> lines "\n"
[""]

>>> lines "one"
["one"]

>>> lines "one\n"
["one"]

>>> lines "one\n\n"
["one",""]

>>> lines "one\ntwo"
["one","two"]

>>> lines "one\ntwo\n"
["one","two"]

Thus lines s contains at least as many elements as newlines in s.

words :: String -> [String] Source #

words breaks a string up into a list of words, which were delimited by white space.

>>> words "Lorem ipsum\ndolor"
["Lorem","ipsum","dolor"]

unlines :: [String] -> String Source #

unlines is an inverse operation to lines. It joins lines, after appending a terminating newline to each.

>>> unlines ["Hello", "World", "!"]
"Hello\nWorld\n!\n"

unwords :: [String] -> String Source #

unwords is an inverse operation to words. It joins words with separating spaces.

>>> unwords ["Lorem", "ipsum", "dolor"]
"Lorem ipsum dolor"

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 NestedAtomically Source #	Since: base-4.0
Instance details Defined in Control.Exception.Base Methods showsPrec :: Int -> NestedAtomically -> ShowS Source # show :: NestedAtomically -> String Source # showList :: [NestedAtomically] -> ShowS Source #
Show NoMethodError Source #	Since: base-4.0
Instance details Defined in 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 Data.Version Methods showsPrec :: Int -> Version -> ShowS Source # show :: Version -> String Source # showList :: [Version] -> ShowS Source #
Show Void Source #	Since: base-4.8.0.0
Instance details Defined in Data.Void Methods showsPrec :: Int -> Void -> ShowS Source # show :: Void -> String Source # showList :: [Void] -> ShowS Source #
Show CBool Source #
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CBool -> ShowS Source # show :: CBool -> String Source # showList :: [CBool] -> ShowS Source #
Show CChar Source #
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CChar -> ShowS Source # show :: CChar -> String Source # showList :: [CChar] -> ShowS Source #
Show CClock Source #
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CClock -> ShowS Source # show :: CClock -> String Source # showList :: [CClock] -> ShowS Source #
Show CDouble Source #
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CDouble -> ShowS Source # show :: CDouble -> String Source # showList :: [CDouble] -> ShowS Source #
Show CFloat Source #
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CFloat -> ShowS Source # show :: CFloat -> String Source # showList :: [CFloat] -> ShowS Source #
Show CInt Source #
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CInt -> ShowS Source # show :: CInt -> String Source # showList :: [CInt] -> ShowS Source #
Show CIntMax Source #
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CIntMax -> ShowS Source # show :: CIntMax -> String Source # showList :: [CIntMax] -> ShowS Source #
Show CIntPtr Source #
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CIntPtr -> ShowS Source # show :: CIntPtr -> String Source # showList :: [CIntPtr] -> ShowS Source #
Show CLLong Source #
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CLLong -> ShowS Source # show :: CLLong -> String Source # showList :: [CLLong] -> ShowS Source #
Show CLong Source #
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CLong -> ShowS Source # show :: CLong -> String Source # showList :: [CLong] -> ShowS Source #
Show CPtrdiff Source #
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CPtrdiff -> ShowS Source # show :: CPtrdiff -> String Source # showList :: [CPtrdiff] -> ShowS Source #
Show CSChar Source #
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CSChar -> ShowS Source # show :: CSChar -> String Source # showList :: [CSChar] -> ShowS Source #
Show CSUSeconds Source #
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CSUSeconds -> ShowS Source # show :: CSUSeconds -> String Source # showList :: [CSUSeconds] -> ShowS Source #
Show CShort Source #
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CShort -> ShowS Source # show :: CShort -> String Source # showList :: [CShort] -> ShowS Source #
Show CSigAtomic Source #
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CSigAtomic -> ShowS Source # show :: CSigAtomic -> String Source # showList :: [CSigAtomic] -> ShowS Source #
Show CSize Source #
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CSize -> ShowS Source # show :: CSize -> String Source # showList :: [CSize] -> ShowS Source #
Show CTime Source #
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CTime -> ShowS Source # show :: CTime -> String Source # showList :: [CTime] -> ShowS Source #
Show CUChar Source #
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CUChar -> ShowS Source # show :: CUChar -> String Source # showList :: [CUChar] -> ShowS Source #
Show CUInt Source #
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CUInt -> ShowS Source # show :: CUInt -> String Source # showList :: [CUInt] -> ShowS Source #
Show CUIntMax Source #
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CUIntMax -> ShowS Source # show :: CUIntMax -> String Source # showList :: [CUIntMax] -> ShowS Source #
Show CUIntPtr Source #
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CUIntPtr -> ShowS Source # show :: CUIntPtr -> String Source # showList :: [CUIntPtr] -> ShowS Source #
Show CULLong Source #
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CULLong -> ShowS Source # show :: CULLong -> String Source # showList :: [CULLong] -> ShowS Source #
Show CULong Source #
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CULong -> ShowS Source # show :: CULong -> String Source # showList :: [CULong] -> ShowS Source #
Show CUSeconds Source #
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CUSeconds -> ShowS Source # show :: CUSeconds -> String Source # showList :: [CUSeconds] -> ShowS Source #
Show CUShort Source #
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CUShort -> ShowS Source # show :: CUShort -> String Source # showList :: [CUShort] -> ShowS Source #
Show CWchar Source #
Instance details Defined in Foreign.C.Types Methods showsPrec :: Int -> CWchar -> ShowS Source # show :: CWchar -> String Source # showList :: [CWchar] -> ShowS Source #
Show IntPtr Source #
Instance details Defined in Foreign.Ptr Methods showsPrec :: Int -> IntPtr -> ShowS Source # show :: IntPtr -> String Source # showList :: [IntPtr] -> ShowS Source #
Show WordPtr Source #
Instance details Defined in Foreign.Ptr Methods showsPrec :: Int -> WordPtr -> ShowS Source # show :: WordPtr -> String Source # showList :: [WordPtr] -> ShowS Source #
Show ByteOrder Source #	Since: base-4.11.0.0
Instance details Defined in GHC.ByteOrder Methods showsPrec :: Int -> ByteOrder -> ShowS Source # show :: ByteOrder -> String Source # showList :: [ByteOrder] -> ShowS Source #
Show BlockReason Source #	Since: base-4.3.0.0
Instance details Defined in GHC.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.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.Conc.Sync Methods showsPrec :: Int -> ThreadStatus -> ShowS Source # show :: ThreadStatus -> String Source # showList :: [ThreadStatus] -> ShowS Source #
Show Event Source #	Since: base-4.4.0.0
Instance details Defined in GHC.Event.Internal.Types Methods showsPrec :: Int -> Event -> ShowS Source # show :: Event -> String Source # showList :: [Event] -> ShowS Source #
Show Lifetime Source #	Since: base-4.8.1.0
Instance details Defined in GHC.Event.Internal.Types Methods showsPrec :: Int -> Lifetime -> ShowS Source # show :: Lifetime -> String Source # showList :: [Lifetime] -> ShowS Source #
Show FdKey Source #	Since: base-4.4.0.0
Instance details Defined in GHC.Event.Manager Methods showsPrec :: Int -> FdKey -> ShowS Source # show :: FdKey -> String Source # showList :: [FdKey] -> ShowS Source #
Show ErrorCall Source #	Since: base-4.0.0.0
Instance details Defined in GHC.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.Exception.Type Methods showsPrec :: Int -> ArithException -> ShowS Source # show :: ArithException -> String Source # showList :: [ArithException] -> ShowS Source #
Show SomeException Source #	Since: base-3.0
Instance details Defined in GHC.Exception.Type Methods showsPrec :: Int -> SomeException -> ShowS Source # show :: SomeException -> String Source # showList :: [SomeException] -> ShowS Source #
Show Fingerprint Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Fingerprint.Type Methods showsPrec :: Int -> Fingerprint -> ShowS Source # show :: Fingerprint -> String Source # showList :: [Fingerprint] -> ShowS Source #
Show Associativity Source #	Since: base-4.6.0.0
Instance details Defined in GHC.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.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.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.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.Generics Methods showsPrec :: Int -> SourceUnpackedness -> ShowS Source # show :: SourceUnpackedness -> String Source # showList :: [SourceUnpackedness] -> ShowS Source #
Show MaskingState Source #	Since: base-4.3.0.0
Instance details Defined in GHC.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.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.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.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.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.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.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.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.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.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.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.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.IO.Exception Methods showsPrec :: Int -> Deadlock -> ShowS Source # show :: Deadlock -> String Source # showList :: [Deadlock] -> ShowS Source #
Show ExitCode Source #
Instance details Defined in GHC.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.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.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.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.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.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.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.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.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.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.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.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.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.IO.IOMode Methods showsPrec :: Int -> IOMode -> ShowS Source # show :: IOMode -> String Source # showList :: [IOMode] -> ShowS Source #
Show Int16 Source #	Since: base-2.1
Instance details Defined in GHC.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.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.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.Int Methods showsPrec :: Int -> Int8 -> ShowS Source # show :: Int8 -> String Source # showList :: [Int8] -> 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 IoSubSystem Source #
Instance details Defined in GHC.RTS.Flags Methods showsPrec :: Int -> IoSubSystem -> ShowS Source # show :: IoSubSystem -> String Source # showList :: [IoSubSystem] -> 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 FractionalExponentBase Source #
Instance details Defined in GHC.Real Methods showsPrec :: Int -> FractionalExponentBase -> ShowS Source # show :: FractionalExponentBase -> String Source # showList :: [FractionalExponentBase] -> ShowS Source #
Show CallStack Source #	Since: base-4.9.0.0
Instance details Defined in GHC.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.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.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.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 SomeChar Source #
Instance details Defined in GHC.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.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.TypeNats Methods showsPrec :: Int -> SomeNat -> ShowS Source # show :: SomeNat -> String Source # showList :: [SomeNat] -> ShowS Source #
Show GeneralCategory Source #	Since: base-2.1
Instance details Defined in GHC.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.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.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.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.Word Methods showsPrec :: Int -> Word8 -> ShowS Source # show :: Word8 -> String Source # showList :: [Word8] -> ShowS Source #
Show CBlkCnt Source #
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CBlkCnt -> ShowS Source # show :: CBlkCnt -> String Source # showList :: [CBlkCnt] -> ShowS Source #
Show CBlkSize Source #
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CBlkSize -> ShowS Source # show :: CBlkSize -> String Source # showList :: [CBlkSize] -> ShowS Source #
Show CCc Source #
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CCc -> ShowS Source # show :: CCc -> String Source # showList :: [CCc] -> ShowS Source #
Show CClockId Source #
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CClockId -> ShowS Source # show :: CClockId -> String Source # showList :: [CClockId] -> ShowS Source #
Show CDev Source #
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CDev -> ShowS Source # show :: CDev -> String Source # showList :: [CDev] -> ShowS Source #
Show CFsBlkCnt Source #
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CFsBlkCnt -> ShowS Source # show :: CFsBlkCnt -> String Source # showList :: [CFsBlkCnt] -> ShowS Source #
Show CFsFilCnt Source #
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CFsFilCnt -> ShowS Source # show :: CFsFilCnt -> String Source # showList :: [CFsFilCnt] -> ShowS Source #
Show CGid Source #
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CGid -> ShowS Source # show :: CGid -> String Source # showList :: [CGid] -> ShowS Source #
Show CId Source #
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CId -> ShowS Source # show :: CId -> String Source # showList :: [CId] -> ShowS Source #
Show CIno Source #
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CIno -> ShowS Source # show :: CIno -> String Source # showList :: [CIno] -> ShowS Source #
Show CKey Source #
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CKey -> ShowS Source # show :: CKey -> String Source # showList :: [CKey] -> ShowS Source #
Show CMode Source #
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CMode -> ShowS Source # show :: CMode -> String Source # showList :: [CMode] -> ShowS Source #
Show CNfds Source #
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CNfds -> ShowS Source # show :: CNfds -> String Source # showList :: [CNfds] -> ShowS Source #
Show CNlink Source #
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CNlink -> ShowS Source # show :: CNlink -> String Source # showList :: [CNlink] -> ShowS Source #
Show COff Source #
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> COff -> ShowS Source # show :: COff -> String Source # showList :: [COff] -> ShowS Source #
Show CPid Source #
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CPid -> ShowS Source # show :: CPid -> String Source # showList :: [CPid] -> ShowS Source #
Show CRLim Source #
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CRLim -> ShowS Source # show :: CRLim -> String Source # showList :: [CRLim] -> ShowS Source #
Show CSocklen Source #
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CSocklen -> ShowS Source # show :: CSocklen -> String Source # showList :: [CSocklen] -> ShowS Source #
Show CSpeed Source #
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CSpeed -> ShowS Source # show :: CSpeed -> String Source # showList :: [CSpeed] -> ShowS Source #
Show CSsize Source #
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CSsize -> ShowS Source # show :: CSsize -> String Source # showList :: [CSsize] -> ShowS Source #
Show CTcflag Source #
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CTcflag -> ShowS Source # show :: CTcflag -> String Source # showList :: [CTcflag] -> ShowS Source #
Show CTimer Source #
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CTimer -> ShowS Source # show :: CTimer -> String Source # showList :: [CTimer] -> ShowS Source #
Show CUid Source #
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> CUid -> ShowS Source # show :: CUid -> String Source # showList :: [CUid] -> ShowS Source #
Show Fd Source #
Instance details Defined in System.Posix.Types Methods showsPrec :: Int -> Fd -> ShowS Source # show :: Fd -> String Source # showList :: [Fd] -> 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 Lexeme Source #	Since: base-2.1
Instance details Defined in 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 Text.Read.Lex Methods showsPrec :: Int -> Number -> ShowS Source # show :: Number -> String Source # showList :: [Number] -> ShowS Source #
Show KindRep Source #
Instance details Defined in GHC.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.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.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.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.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.Show Methods showsPrec :: Int -> TypeLitSort -> ShowS Source # show :: TypeLitSort -> String Source # showList :: [TypeLitSort] -> ShowS Source #
Show Integer Source #	Since: base-2.1
Instance details Defined in GHC.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.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.Show Methods showsPrec :: Int -> () -> ShowS Source # show :: () -> String Source # showList :: [()] -> ShowS Source #
Show Bool Source #	Since: base-2.1
Instance details Defined in GHC.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.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.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.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.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.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.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.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.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.Show Methods showsPrec :: Int -> Word -> ShowS Source # show :: Word -> String Source # showList :: [Word] -> ShowS Source #
Show a => Show (ZipList a) Source #	Since: base-4.7.0.0
Instance details Defined in Control.Applicative Methods showsPrec :: Int -> ZipList a -> ShowS Source # show :: ZipList a -> String Source # showList :: [ZipList a] -> ShowS Source #
Show a => Show (And a) Source #	Since: base-4.16
Instance details Defined in 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 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 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 Data.Bits Methods showsPrec :: Int -> Xor a -> ShowS Source # show :: Xor a -> String Source # showList :: [Xor a] -> 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 (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 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 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 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 Data.Ord Methods showsPrec :: Int -> Down a -> ShowS Source # show :: Down a -> String Source # showList :: [Down 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 (Dual a) Source #	Since: base-2.1
Instance details Defined in 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 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 Data.Semigroup.Internal Methods showsPrec :: Int -> Sum a -> ShowS Source # show :: Sum a -> String Source # showList :: [Sum a] -> ShowS Source #
Show (ForeignPtr a) Source #	Since: base-2.1
Instance details Defined in GHC.ForeignPtr Methods showsPrec :: Int -> ForeignPtr a -> ShowS Source # show :: ForeignPtr a -> String Source # showList :: [ForeignPtr a] -> ShowS Source #
Show p => Show (Par1 p) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> Par1 p -> ShowS Source # show :: Par1 p -> String Source # showList :: [Par1 p] -> ShowS Source #
Show (FunPtr a) Source #	Since: base-2.1
Instance details Defined in GHC.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.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.Real Methods showsPrec :: Int -> Ratio a -> ShowS Source # show :: Ratio a -> String Source # showList :: [Ratio a] -> ShowS Source #
Show a => Show (NonEmpty a) Source #	Since: base-4.11.0.0
Instance details Defined in GHC.Show Methods showsPrec :: Int -> NonEmpty a -> ShowS Source # show :: NonEmpty a -> String Source # showList :: [NonEmpty a] -> ShowS Source #
Show a => Show (Maybe a) Source #	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> Maybe a -> ShowS Source # show :: Maybe a -> String Source # showList :: [Maybe a] -> ShowS Source #
Show a => Show (a) Source #	Since: base-4.15
Instance details Defined in GHC.Show Methods showsPrec :: Int -> (a) -> ShowS Source # show :: (a) -> String Source # showList :: [(a)] -> ShowS Source #
Show a => Show [a] Source #	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> [a] -> ShowS Source # show :: [a] -> String Source # showList :: [[a]] -> ShowS Source #
(Show a, Show b) => Show (Either a b) Source #	Since: base-3.0
Instance details Defined in Data.Either Methods showsPrec :: Int -> Either a b -> ShowS Source # show :: Either a b -> String Source # showList :: [Either a b] -> 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 (Proxy s) Source #	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods showsPrec :: Int -> Proxy s -> ShowS Source # show :: Proxy s -> String Source # showList :: [Proxy s] -> 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 #
Show (TypeRep a) Source #
Instance details Defined in Data.Typeable.Internal Methods showsPrec :: Int -> TypeRep a -> ShowS Source # show :: TypeRep a -> String Source # showList :: [TypeRep a] -> ShowS Source #
(Ix a, Show a, Show b) => Show (Array a b) Source #	Since: base-2.1
Instance details Defined in GHC.Arr Methods showsPrec :: Int -> Array a b -> ShowS Source # show :: Array a b -> String Source # showList :: [Array a b] -> ShowS Source #
Show (U1 p) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> U1 p -> ShowS Source # show :: U1 p -> String Source # showList :: [U1 p] -> ShowS Source #
Show (V1 p) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.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.ST Methods showsPrec :: Int -> ST s a -> ShowS Source # show :: ST s a -> String Source # showList :: [ST s a] -> 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 b) => Show (a, b) Source #	Since: base-2.1
Instance details Defined in GHC.Show 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 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 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 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 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 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 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.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.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.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.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.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.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.Show Methods showsPrec :: Int -> (a, b, c) -> ShowS Source # show :: (a, b, c) -> String Source # showList :: [(a, b, c)] -> ShowS Source #
(Show1 f, Show1 g, Show a) => Show (Product f g a) Source #	Since: base-4.9.0.0
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 #
(Show1 f, Show1 g, Show a) => Show (Sum f g a) Source #	Since: base-4.9.0.0
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 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.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.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.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.Show Methods showsPrec :: Int -> (a, b, c, d) -> ShowS Source # show :: (a, b, c, d) -> String Source # showList :: [(a, b, c, d)] -> ShowS Source #
(Show1 f, Show1 g, Show a) => Show (Compose f g a) Source #	Since: base-4.9.0.0
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.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.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.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.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.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.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.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.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.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.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.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.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.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 should be are expected to use double quotes, rather than square brackets.

Instances

Instances details

Read All Source #	Since: base-2.1
Instance details Defined in 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 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 Data.Version Methods readsPrec :: Int -> ReadS Version Source # readList :: ReadS [Version] Source # readPrec :: ReadPrec Version Source # readListPrec :: ReadPrec [Version] 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 Data.Void Methods readsPrec :: Int -> ReadS Void Source # readList :: ReadS [Void] Source # readPrec :: ReadPrec Void Source # readListPrec :: ReadPrec [Void] Source #
Read CBool Source #
Instance details Defined in 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 Foreign.Ptr Methods readsPrec :: Int -> ReadS WordPtr Source # readList :: ReadS [WordPtr] Source # readPrec :: ReadPrec WordPtr Source # readListPrec :: ReadPrec [WordPtr] Source #
Read ByteOrder Source #	Since: base-4.11.0.0
Instance details Defined in GHC.ByteOrder Methods readsPrec :: Int -> ReadS ByteOrder Source # readList :: ReadS [ByteOrder] Source # readPrec :: ReadPrec ByteOrder Source # readListPrec :: ReadPrec [ByteOrder] Source #
Read Associativity Source #	Since: base-4.6.0.0
Instance details Defined in GHC.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.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.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.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.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.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.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.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.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.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.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.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.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.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.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.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 SomeChar Source #
Instance details Defined in GHC.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.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.TypeNats Methods readsPrec :: Int -> ReadS SomeNat Source # readList :: ReadS [SomeNat] Source # readPrec :: ReadPrec SomeNat Source # readListPrec :: ReadPrec [SomeNat] Source #
Read GeneralCategory Source #	Since: base-2.1
Instance details Defined in GHC.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.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.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.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.Read Methods readsPrec :: Int -> ReadS Word8 Source # readList :: ReadS [Word8] Source # readPrec :: ReadPrec Word8 Source # readListPrec :: ReadPrec [Word8] Source #
Read CBlkCnt Source #
Instance details Defined in 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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.Read Methods readsPrec :: Int -> ReadS Lexeme Source # readList :: ReadS [Lexeme] Source # readPrec :: ReadPrec Lexeme Source # readListPrec :: ReadPrec [Lexeme] Source #
Read Ordering Source #	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Ordering Source # readList :: ReadS [Ordering] Source # readPrec :: ReadPrec Ordering Source # readListPrec :: ReadPrec [Ordering] Source #
Read Integer Source #	Since: base-2.1
Instance details Defined in GHC.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.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.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.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.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.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.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.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.Read Methods readsPrec :: Int -> ReadS Word Source # readList :: ReadS [Word] Source # readPrec :: ReadPrec Word Source # readListPrec :: ReadPrec [Word] Source #
Read a => Read (ZipList a) Source #	Since: base-4.7.0.0
Instance details Defined in Control.Applicative Methods readsPrec :: Int -> ReadS (ZipList a) Source # readList :: ReadS [ZipList a] Source # readPrec :: ReadPrec (ZipList a) Source # readListPrec :: ReadPrec [ZipList a] Source #
Read a => Read (And a) Source #	Since: base-4.16
Instance details Defined in 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 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 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 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 (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 (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 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 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 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 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 (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 (Dual a) Source #	Since: base-2.1
Instance details Defined in 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 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 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 p => Read (Par1 p) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.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.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 (NonEmpty a) Source #	Since: base-4.11.0.0
Instance details Defined in GHC.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 (Maybe a) Source #	Since: base-2.1
Instance details Defined in GHC.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 (a) Source #	Since: base-4.15
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS (a) Source # readList :: ReadS [(a)] Source # readPrec :: ReadPrec (a) Source # readListPrec :: ReadPrec [(a)] Source #
Read a => Read [a] Source #	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS [a] Source # readList :: ReadS [[a]] Source # readPrec :: ReadPrec [a] Source # readListPrec :: ReadPrec [[a]] Source #
(Read a, Read b) => Read (Either a b) Source #	Since: base-3.0
Instance details Defined in 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 #
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 (Proxy t) Source #	Since: base-4.7.0.0
Instance details Defined in 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 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.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 (U1 p) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.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.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.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 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 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 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 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 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.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.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 #
(Read1 f, Read1 g, Read a) => Read (Product f g a) Source #	Since: base-4.9.0.0
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 #
(Read1 f, Read1 g, Read a) => Read (Sum f g a) Source #	Since: base-4.9.0.0
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 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.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.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.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.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 #
(Read1 f, Read1 g, Read a) => Read (Compose f g a) Source #	Since: base-4.9.0.0
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.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.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.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.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.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.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.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.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.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.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.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.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.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

MonadFail IO Source #	Since: base-4.9.0.0
Instance details Defined in Control.Monad.Fail Methods fail :: String -> IO a Source #
MonadFix IO Source #	Since: base-2.1
Instance details Defined in Control.Monad.Fix Methods mfix :: (a -> IO a) -> IO a Source #
MonadIO IO Source #	Since: base-4.9.0.0
Instance details Defined in Control.Monad.IO.Class Methods liftIO :: IO a -> IO a Source #
Alternative IO Source #	Since: base-4.9.0.0
Instance details Defined in GHC.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.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.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.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 #	Since: base-4.9.0.0
Instance details Defined in GHC.Base Methods mzero :: IO a Source # mplus :: IO a -> IO a -> IO a Source #
GHCiSandboxIO IO Source #	Since: base-4.4.0.0
Instance details Defined in GHC.GHCi Methods ghciStepIO :: IO a -> IO a Source #
Monoid a => Monoid (IO a) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.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.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 #
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

Simple I/O operations

Output functions

putChar :: Char -> IO () Source #

Write a character to the standard output device (same as hPutChar stdout).

putStr :: String -> IO () Source #

Write a string to the standard output device (same as hPutStr stdout).

putStrLn :: String -> IO () Source #

The same as putStr, but adds a newline character.

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.

For example, a program to print the first 20 integers and their powers of 2 could be written as:

main = print ([(n, 2^n) | n <- [0..19]])

Input functions

getChar :: IO Char Source #

Read a character from the standard input device (same as hGetChar stdin).

getLine :: IO String Source #

Read a line from the standard input device (same as hGetLine stdin).

getContents :: IO String Source #

The getContents operation returns all user input as a single string, which is read lazily as it is needed (same as hGetContents stdin).

interact :: (String -> String) -> IO () Source #

The interact function takes a function of type String->String as its argument. The entire input from the standard input device is passed to this function as its argument, and the resulting string is output on the standard output device.

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.

writeFile :: FilePath -> String -> IO () Source #

The computation writeFile file str function writes the string str, to the file file.

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.

main = appendFile "squares" (show [(x,x*x) | x <- [0,0.1..2]])

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.

readLn :: Read a => IO a Source #

The readLn function combines getLine and readIO.

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 IOException 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 :: IOError -> IO a Source #

Raise an IOException in the IO monad.

userError :: String -> IOError Source #

Construct an IOException 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)