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

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
- liftA2 :: (a -> b -> c) -> f a -> f b -> f c
- (*>) :: f a -> f b -> f b
- (<*) :: f a -> f b -> f a
class Applicative m => Monad m 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 :: HasCallStack => [a] -> a
last :: HasCallStack => [a] -> a
tail :: HasCallStack => [a] -> [a]
init :: HasCallStack => [a] -> [a]
(!!) :: HasCallStack => [a] -> Int -> a
null :: Foldable t => t a -> Bool
length :: Foldable t => t a -> Int
reverse :: [a] -> [a]
and :: Foldable t => t Bool -> Bool
or :: Foldable t => t Bool -> Bool
any :: Foldable t => (a -> Bool) -> t a -> Bool
all :: Foldable t => (a -> Bool) -> t a -> Bool
concat :: Foldable t => t [a] -> [a]
concatMap :: Foldable t => (a -> [b]) -> t a -> [b]
scanl :: (b -> a -> b) -> b -> [a] -> [b]
scanl1 :: (a -> a -> a) -> [a] -> [a]
scanr :: (a -> b -> b) -> b -> [a] -> [b]
scanr1 :: (a -> a -> a) -> [a] -> [a]
iterate :: (a -> a) -> a -> [a]
repeat :: a -> [a]
replicate :: Int -> a -> [a]
cycle :: HasCallStack => [a] -> [a]
take :: Int -> [a] -> [a]
drop :: Int -> [a] -> [a]
takeWhile :: (a -> Bool) -> [a] -> [a]
dropWhile :: (a -> Bool) -> [a] -> [a]
span :: (a -> Bool) -> [a] -> ([a], [a])
break :: (a -> Bool) -> [a] -> ([a], [a])
splitAt :: Int -> [a] -> ([a], [a])
notElem :: (Foldable t, Eq a) => a -> t a -> Bool
lookup :: Eq a => a -> [(a, b)] -> Maybe b
zip :: [a] -> [b] -> [(a, b)]
zip3 :: [a] -> [b] -> [c] -> [(a, b, c)]
zipWith :: (a -> b -> c) -> [a] -> [b] -> [c]
zipWith3 :: (a -> b -> c -> d) -> [a] -> [b] -> [c] -> [d]
unzip :: [(a, b)] -> ([a], [b])
unzip3 :: [(a, b, c)] -> ([a], [b], [c])
lines :: String -> [String]
words :: String -> [String]
unlines :: [String] -> String
unwords :: [String] -> String
type ShowS = String -> String
class Show a where
- showsPrec :: Int -> a -> ShowS
- show :: a -> String
- showList :: [a] -> ShowS
shows :: Show a => a -> ShowS
showChar :: Char -> ShowS
showString :: String -> ShowS
showParen :: Bool -> ShowS -> ShowS
type ReadS a = String -> [(a, String)]
class Read a where
- readsPrec :: Int -> ReadS a
- readList :: ReadS [a]
reads :: Read a => ReadS a
readParen :: Bool -> ReadS a -> ReadS a
read :: Read a => String -> a
lex :: ReadS String
data IO a
putChar :: Char -> IO ()
putStr :: String -> IO ()
putStrLn :: String -> IO ()
print :: Show a => a -> IO ()
getChar :: IO Char
getLine :: IO String
getContents :: IO String
interact :: (String -> String) -> IO ()
type FilePath = String
readFile :: FilePath -> IO String
writeFile :: FilePath -> String -> IO ()
appendFile :: FilePath -> String -> IO ()
readIO :: Read a => String -> IO a
readLn :: Read a => IO a
type IOError = IOException
ioError :: IOError -> IO a
userError :: String -> IOError
class a ~# b => (a :: k) ~ (b :: k)

Standard types, classes and related functions

Basic data types

data Bool Source #

Constructors

False
True

Instances

Instances details

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 #	Picks the leftmost `Just` value, or, alternatively, `Nothing`. 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 #	Picks the leftmost `Just` value, or, alternatively, `Nothing`. 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 #
Bifoldable1 Either Source #
Instance details Defined in Data.Bifoldable1 Methods bifold1 :: Semigroup m => Either m m -> m Source # bifoldMap1 :: Semigroup m => (a -> m) -> (b -> m) -> Either a b -> m Source #
Bifunctor Either Source #	Since: base-4.8.0.0
Instance details Defined in Data.Bifunctor Methods bimap :: (a -> b) -> (c -> d) -> Either a c -> Either b d Source # first :: (a -> b) -> Either a c -> Either b c Source # second :: (b -> c) -> Either a b -> Either a c Source #
Bitraversable Either Source #	Since: base-4.10.0.0
Instance details Defined in Data.Bitraversable Methods bitraverse :: Applicative f => (a -> f c) -> (b -> f d) -> Either a b -> f (Either c d) Source #
Eq2 Either Source #	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftEq2 :: (a -> b -> Bool) -> (c -> d -> Bool) -> Either a c -> Either b d -> Bool Source #
Ord2 Either Source #	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftCompare2 :: (a -> b -> Ordering) -> (c -> d -> Ordering) -> Either a c -> Either b d -> Ordering Source #
Read2 Either Source #	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftReadsPrec2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> Int -> ReadS (Either a b) Source # liftReadList2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [Either a b] Source # liftReadPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (Either a b) Source # liftReadListPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [Either a b] Source #
Show2 Either Source #	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftShowsPrec2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> Int -> Either a b -> ShowS Source # liftShowList2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> [Either a b] -> ShowS Source #
Generic1 (Either a :: Type -> Type) Source #
Instance details Defined in GHC.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 #
TestCoercion SChar Source #	Since: base-4.18.0.0
Instance details Defined in GHC.TypeLits Methods testCoercion :: forall (a :: k) (b :: k). SChar a -> SChar b -> Maybe (Coercion a b) Source #
TestEquality SChar Source #	Since: base-4.18.0.0
Instance details Defined in GHC.TypeLits Methods testEquality :: forall (a :: k) (b :: k). SChar a -> SChar b -> Maybe (a :~: b) 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 -> 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 -> 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 #

String is an alias for a list of characters.

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

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

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

Performance considerations

Expand

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

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

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

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

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

Tuples

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

Extract the first component of a pair.

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

Extract the second component of a pair.

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

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 ByteArray Source #	Since: base-4.17.0.0
Instance details Defined in Data.Array.Byte Methods (==) :: ByteArray -> ByteArray -> Bool Source # (/=) :: ByteArray -> ByteArray -> Bool Source #
Eq 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 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 Void Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Base Methods (==) :: Void -> Void -> Bool Source # (/=) :: Void -> Void -> 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 InfoProv Source #
Instance details Defined in GHC.InfoProv Methods (==) :: InfoProv -> InfoProv -> Bool Source # (/=) :: InfoProv -> InfoProv -> 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 StackEntry Source #
Instance details Defined in GHC.Stack.CloneStack Methods (==) :: StackEntry -> StackEntry -> Bool Source # (/=) :: StackEntry -> StackEntry -> 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 (MutableByteArray s) Source #	Since: base-4.17.0.0
Instance details Defined in Data.Array.Byte Methods (==) :: MutableByteArray s -> MutableByteArray s -> Bool Source # (/=) :: MutableByteArray s -> MutableByteArray s -> Bool Source #
Eq a => Eq (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 (ConstPtr a) Source #
Instance details Defined in Foreign.C.ConstPtr Methods (==) :: ConstPtr a -> ConstPtr a -> Bool Source # (/=) :: ConstPtr a -> ConstPtr 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 (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 (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 #
(Generic1 f, Eq (Rep1 f a)) => Eq (Generically1 f a) Source #	Since: base-4.18.0.0
Instance details Defined in GHC.Generics Methods (==) :: Generically1 f a -> Generically1 f a -> Bool Source # (/=) :: Generically1 f a -> Generically1 f a -> Bool Source #
Eq (f p) => Eq (Rec1 f p) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.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 #
(Eq (f a), Eq (g a)) => Eq (Product f g a) Source #	Since: base-4.18.0.0
Instance details Defined in Data.Functor.Product Methods (==) :: Product f g a -> Product f g a -> Bool Source # (/=) :: Product f g a -> Product f g a -> Bool Source #
(Eq (f a), Eq (g a)) => Eq (Sum f g a) Source #	Since: base-4.18.0.0
Instance details Defined in Data.Functor.Sum Methods (==) :: Sum f g a -> Sum f g a -> Bool Source # (/=) :: Sum f g a -> Sum f g a -> Bool Source #
Eq (a :~~: b) Source #	Since: base-4.10.0.0
Instance details Defined in 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 #
Eq (f (g a)) => Eq (Compose f g a) Source #	Since: base-4.18.0.0
Instance details Defined in Data.Functor.Compose Methods (==) :: Compose f g a -> Compose f g a -> Bool Source # (/=) :: Compose f g a -> Compose f g a -> Bool Source #
Eq (f (g p)) => Eq ((f :.: g) p) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.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 ByteArray Source #	Non-lexicographic ordering. This compares the lengths of the byte arrays first and uses a lexicographic ordering if the lengths are equal. Subject to change between major versions. Since: base-4.17.0.0
Instance details Defined in Data.Array.Byte Methods compare :: ByteArray -> ByteArray -> Ordering Source # (<) :: ByteArray -> ByteArray -> Bool Source # (<=) :: ByteArray -> ByteArray -> Bool Source # (>) :: ByteArray -> ByteArray -> Bool Source # (>=) :: ByteArray -> ByteArray -> Bool Source # max :: ByteArray -> ByteArray -> ByteArray Source # min :: ByteArray -> ByteArray -> ByteArray Source #
Ord 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 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 Void Source #	Since: base-4.8.0.0
Instance details Defined in GHC.Base Methods compare :: Void -> Void -> Ordering Source # (<) :: Void -> Void -> Bool Source # (<=) :: Void -> Void -> Bool Source # (>) :: Void -> Void -> Bool Source # (>=) :: Void -> Void -> Bool Source # max :: Void -> Void -> Void Source # min :: Void -> Void -> Void Source #
Ord 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 (ConstPtr a) Source #
Instance details Defined in Foreign.C.ConstPtr Methods compare :: ConstPtr a -> ConstPtr a -> Ordering Source # (<) :: ConstPtr a -> ConstPtr a -> Bool Source # (<=) :: ConstPtr a -> ConstPtr a -> Bool Source # (>) :: ConstPtr a -> ConstPtr a -> Bool Source # (>=) :: ConstPtr a -> ConstPtr a -> Bool Source # max :: ConstPtr a -> ConstPtr a -> ConstPtr a Source # min :: ConstPtr a -> ConstPtr a -> ConstPtr a Source #
Ord 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 (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 (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 #
(Generic1 f, Ord (Rep1 f a)) => Ord (Generically1 f a) Source #	Since: base-4.18.0.0
Instance details Defined in GHC.Generics Methods compare :: Generically1 f a -> Generically1 f a -> Ordering Source # (<) :: Generically1 f a -> Generically1 f a -> Bool Source # (<=) :: Generically1 f a -> Generically1 f a -> Bool Source # (>) :: Generically1 f a -> Generically1 f a -> Bool Source # (>=) :: Generically1 f a -> Generically1 f a -> Bool Source # max :: Generically1 f a -> Generically1 f a -> Generically1 f a Source # min :: Generically1 f a -> Generically1 f a -> Generically1 f a Source #
Ord (f p) => Ord (Rec1 f p) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.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 #
(Ord (f a), Ord (g a)) => Ord (Product f g a) Source #	Since: base-4.18.0.0
Instance details Defined in Data.Functor.Product Methods compare :: Product f g a -> Product f g a -> Ordering Source # (<) :: Product f g a -> Product f g a -> Bool Source # (<=) :: Product f g a -> Product f g a -> Bool Source # (>) :: Product f g a -> Product f g a -> Bool Source # (>=) :: Product f g a -> Product f g a -> Bool Source # max :: Product f g a -> Product f g a -> Product f g a Source # min :: Product f g a -> Product f g a -> Product f g a Source #
(Ord (f a), Ord (g a)) => Ord (Sum f g a) Source #	Since: base-4.18.0.0
Instance details Defined in Data.Functor.Sum Methods compare :: Sum f g a -> Sum f g a -> Ordering Source # (<) :: Sum f g a -> Sum f g a -> Bool Source # (<=) :: Sum f g a -> Sum f g a -> Bool Source # (>) :: Sum f g a -> Sum f g a -> Bool Source # (>=) :: Sum f g a -> Sum f g a -> Bool Source # max :: Sum f g a -> Sum f g a -> Sum f g a Source # min :: Sum f g a -> Sum f g a -> Sum f g a Source #
Ord (a :~~: b) Source #	Since: base-4.10.0.0
Instance details Defined in 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 #
Ord (f (g a)) => Ord (Compose f g a) Source #	Since: base-4.18.0.0
Instance details Defined in Data.Functor.Compose Methods compare :: Compose f g a -> Compose f g a -> Ordering Source # (<) :: Compose f g a -> Compose f g a -> Bool Source # (<=) :: Compose f g a -> Compose f g a -> Bool Source # (>) :: Compose f g a -> Compose f g a -> Bool Source # (>=) :: Compose f g a -> Compose f g a -> Bool Source # max :: Compose f g a -> Compose f g a -> Compose f g a Source # min :: Compose f g a -> Compose f g a -> Compose f g a Source #
Ord (f (g p)) => Ord ((f :.: g) p) Source #	Since: base-4.7.0.0
Instance details Defined in GHC.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, Bounded a, Eq a) => Enum (Down a) Source #	Swaps `succ` and `pred` of the underlying type. Since: base-4.18.0.0
Instance details Defined in Data.Ord Methods succ :: Down a -> Down a Source # pred :: Down a -> Down a Source # toEnum :: Int -> Down a Source # fromEnum :: Down a -> Int Source # enumFrom :: Down a -> [Down a] Source # enumFromThen :: Down a -> Down a -> [Down a] Source # enumFromTo :: Down a -> Down a -> [Down a] Source # enumFromThenTo :: Down a -> Down a -> Down a -> [Down a] Source #
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) == 0.001 and likewise pred (0.000 :: Milli) == -0.001 In other words, `succ` and `pred` increment and decrement a fixed-precision value by the least amount such that the value's resolution is unchanged. For example, `10^-12` is the smallest (positive) amount that can be added to a value of `type Pico = Fixed E12` without changing its resolution, and so succ (0.000000000000 :: Pico) == 0.000000000001 and similarly pred (0.000000000000 :: Pico) == -0.000000000001 This is worth bearing in mind when defining `Fixed` arithmetic sequences. In particular, you may be forgiven for thinking the sequence [1..10] :: [Pico] evaluates to `[1, 2, 3, 4, 5, 6, 7, 8, 9, 10] :: [Pico]`. However, this is not true. On the contrary, similarly to the above implementations of `succ` and `pred`, `enumFromTo :: Pico -> Pico -> [Pico]` has a "step size" of `10^-12`. Hence, the list `[1..10] :: [Pico]` has the form [1.000000000000, 1.00000000001, 1.00000000002, ..., 10.000000000000] and contains `9 * 10^12 + 1` values. Since: base-2.1
Instance details Defined in Data.Fixed Methods succ :: Fixed a -> Fixed a Source # pred :: Fixed a -> Fixed a Source # toEnum :: Int -> Fixed a Source # fromEnum :: Fixed a -> Int Source # enumFrom :: Fixed a -> [Fixed a] Source # enumFromThen :: Fixed a -> Fixed a -> [Fixed a] Source # enumFromTo :: Fixed a -> Fixed a -> [Fixed a] Source # enumFromThenTo :: Fixed a -> Fixed a -> Fixed a -> [Fixed a] Source #
Enum (Proxy s) Source #	Since: base-4.7.0.0
Instance details Defined in 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 -> 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 -> 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 Additionally, because of `NaN` this instance does not obey the left-inverse law for `toRational`/`fromRational`. 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 -> 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 -> 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 Additionally, because of `NaN` this instance does not obey the left-inverse law for `toRational`/`fromRational`. 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 -> 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 -> 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 -> 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 -> 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)
Coherence with toInteger: if the type also implements Integral, then fromInteger is a left inverse for toInteger, i.e. fromInteger (toInteger i) == i

Note that it isn't customarily expected that a type instance of both Num and Ord implement an ordered ring. Indeed, in base only Integer and Rational do.

Minimal complete definition

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

Methods

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

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

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

negate :: a -> a Source #

Unary negation.

abs :: a -> a Source #

Absolute value.

signum :: a -> a Source #

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

abs x * signum x == x

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

fromInteger :: Integer -> a Source #

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

Instances

Instances details

Num 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 #

Real numbers.

The Haskell report defines no laws for Real, however Real instances are customarily expected to adhere to the following law:

Coherence with fromRational: if the type also implements Fractional, then fromRational is a left inverse for toRational, i.e. fromRational (toRational i) = i

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.

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

Minimal complete definition

quotRem, toInteger

Methods

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

integer division truncated toward zero