From Prelude

Methods

sizeOf :: Bool -> Int Source #

alignment :: Bool -> Int Source #

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

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

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

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

peek :: Ptr Bool -> IO Bool Source #

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

Generic Bool

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep Bool	Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Generics type Rep Bool = D1 ('MetaData "Bool" "GHC.Types" "ghc-prim" 'False) (C1 ('MetaCons "False" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "True" 'PrefixI 'False) (U1 :: Type -> Type))

Methods

from :: Bool -> Rep Bool x Source #

to :: Rep Bool x -> Bool Source #

SingKind Bool

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Associated Types

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

Methods

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

Ix Bool

Since: base-2.1

Instance details

Defined in GHC.Internal.Ix

Methods

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

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

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

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

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

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

Read Bool

Since: base-2.1

Instance details

Defined in GHC.Internal.Read

Methods

readsPrec :: Int -> ReadS Bool Source #

readList :: ReadS [Bool] Source #

readPrec :: ReadPrec Bool Source #

readListPrec :: ReadPrec [Bool] Source #

Show Bool

Since: base-2.1

Instance details

Defined in GHC.Internal.Show

Methods

showsPrec :: Int -> Bool -> ShowS Source #

show :: Bool -> String Source #

showList :: [Bool] -> ShowS Source #

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 #

SingI 'False

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

sing :: Sing 'False

SingI 'True

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

sing :: Sing 'True

type DemoteRep Bool

Instance details

Defined in GHC.Internal.Generics

type DemoteRep Bool = Bool

type Rep Bool

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

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

data Sing (a :: Bool)

Instance details

Defined in GHC.Internal.Generics

data Sing (a :: Bool) where

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

data Char Source #

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

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

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

There is a special escape syntax for ASCII control characters:

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

Data.Char provides utilities to work with Char.

Instances

Instances details

IsChar Char

Since: base-2.1

Instance details

Defined in Text.Printf

Methods

toChar :: Char -> Char Source #

fromChar :: Char -> Char Source #

PrintfArg Char

Since: base-2.1

Instance details

Defined in Text.Printf

Methods

formatArg :: Char -> FieldFormatter Source #

parseFormat :: Char -> ModifierParser Source #

Data Char

Since: base-4.0.0.0

Instance details

Defined in GHC.Internal.Data.Data

Methods

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

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

toConstr :: Char -> Constr Source #

dataTypeOf :: Char -> DataType Source #

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

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

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

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

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

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

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

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

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

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

Bounded Char

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Methods

minBound :: Char Source #

maxBound :: Char Source #

Enum Char

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Methods

succ :: Char -> Char Source #

pred :: Char -> Char Source #

toEnum :: Int -> Char Source #

fromEnum :: Char -> Int Source #

enumFrom :: Char -> [Char] Source #

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

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

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

Storable Char

Since: base-2.1

Instance details

Methods

sizeOf :: Char -> Int Source #

alignment :: Char -> Int Source #

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

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

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

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

peek :: Ptr Char -> IO Char Source #

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

Ix Char

Since: base-2.1

Instance details

Defined in GHC.Internal.Ix

Methods

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

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

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

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

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

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

Read Char

Since: base-2.1

Instance details

Defined in GHC.Internal.Read

Methods

readsPrec :: Int -> ReadS Char Source #

readList :: ReadS [Char] Source #

readPrec :: ReadPrec Char Source #

readListPrec :: ReadPrec [Char] Source #

Show Char

Since: base-2.1

Instance details

Defined in GHC.Internal.Show

Methods

showsPrec :: Int -> Char -> ShowS Source #

show :: Char -> String Source #

showList :: [Char] -> ShowS Source #

Eq Char

Instance details

Defined in GHC.Classes

Methods

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

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

Ord Char

Instance details

Defined in GHC.Classes

Methods

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

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

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

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

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

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

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

Generic1 (URec Char :: k -> Type)

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 (URec Char :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (URec Char :: k -> Type) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UChar" 'PrefixI 'True) (S1 ('MetaSel ('Just "uChar#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UChar :: k -> Type)))

Methods

from1 :: forall (a :: k). URec Char a -> Rep1 (URec Char :: k -> Type) a Source #

to1 :: forall (a :: k). Rep1 (URec Char :: k -> Type) a -> URec Char a Source #

Foldable (UChar :: Type -> Type)

Since: base-4.9.0.0

Instance details

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)

Since: base-4.9.0.0

Instance details

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)

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

Generic (URec Char p)

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (URec Char p)	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep (URec Char p) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UChar" 'PrefixI 'True) (S1 ('MetaSel ('Just "uChar#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UChar :: Type -> Type)))

Methods

from :: URec Char p -> Rep (URec Char p) x Source #

to :: Rep (URec Char p) x -> URec Char p Source #

Show (URec Char p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

showsPrec :: Int -> URec Char p -> ShowS Source #

show :: URec Char p -> String Source #

showList :: [URec Char p] -> ShowS Source #

Eq (URec Char p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

Ord (URec Char p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

compare :: URec Char p -> URec Char p -> Ordering 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)

Used for marking occurrences of Char#

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

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

uChar# :: Char#

}

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

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

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

type Rep (URec Char p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

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

data Double Source #

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

Instances

Instances details

PrintfArg Double

Since: base-2.1

Instance details

Defined in Text.Printf

Methods

formatArg :: Double -> FieldFormatter Source #

parseFormat :: Double -> ModifierParser Source #

Data Double

Since: base-4.0.0.0

Instance details

Defined in GHC.Internal.Data.Data

Methods

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

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

toConstr :: Double -> Constr Source #

dataTypeOf :: Double -> DataType Source #

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

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

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

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

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

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

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

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

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

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

Enum Double

fromEnum just truncates its argument, beware of all sorts of overflows.

List generators have extremely peculiar behavior, mandated by Haskell Report 2010:

>>> [0..1.5]
[0.0,1.0,2.0]

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

succ :: Double -> Double Source #

pred :: Double -> Double Source #

toEnum :: Int -> Double Source #

fromEnum :: Double -> Int Source #

enumFrom :: Double -> [Double] Source #

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

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

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

Floating Double

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

pi :: Double Source #

exp :: Double -> Double Source #

log :: Double -> Double Source #

sqrt :: Double -> Double Source #

(**) :: Double -> Double -> Double Source #

logBase :: Double -> Double -> Double Source #

sin :: Double -> Double Source #

cos :: Double -> Double Source #

tan :: Double -> Double Source #

asin :: Double -> Double Source #

acos :: Double -> Double Source #

atan :: Double -> Double Source #

sinh :: Double -> Double Source #

cosh :: Double -> Double Source #

tanh :: Double -> Double Source #

asinh :: Double -> Double Source #

acosh :: Double -> Double Source #

atanh :: Double -> Double Source #

log1p :: Double -> Double Source #

expm1 :: Double -> Double Source #

log1pexp :: Double -> Double Source #

log1mexp :: Double -> Double Source #

RealFloat Double

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

floatRadix :: Double -> Integer Source #

floatDigits :: Double -> Int Source #

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

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

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

exponent :: Double -> Int Source #

significand :: Double -> Double Source #

scaleFloat :: Int -> Double -> Double Source #

isNaN :: Double -> Bool Source #

isInfinite :: Double -> Bool Source #

isDenormalized :: Double -> Bool Source #

isNegativeZero :: Double -> Bool Source #

isIEEE :: Double -> Bool Source #

atan2 :: Double -> Double -> Double Source #

Storable Double

Since: base-2.1

Instance details

Methods

sizeOf :: Double -> Int Source #

alignment :: Double -> Int Source #

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

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

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

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

peek :: Ptr Double -> IO Double Source #

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

Num Double

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

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

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

(+) :: Double -> Double -> Double Source #

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

(*) :: Double -> Double -> Double Source #

negate :: Double -> Double Source #

abs :: Double -> Double Source #

signum :: Double -> Double Source #

fromInteger :: Integer -> Double Source #

Read Double

Since: base-2.1

Instance details

Defined in GHC.Internal.Read

Methods

readsPrec :: Int -> ReadS Double Source #

readList :: ReadS [Double] Source #

readPrec :: ReadPrec Double Source #

readListPrec :: ReadPrec [Double] Source #

Fractional Double

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

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

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

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

recip :: Double -> Double Source #

fromRational :: Rational -> Double Source #

Real Double

Beware that toRational generates garbage for non-finite arguments:

>>> toRational (1/0)
179769313 (and 300 more digits...) % 1
>>> toRational (0/0)
269653970 (and 300 more digits...) % 1

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

toRational :: Double -> Rational Source #

RealFrac Double

Beware that results for non-finite arguments are garbage:

>>> [ f x | f <- [round, floor, ceiling], x <- [-1/0, 0/0, 1/0] ] :: [Int]
[0,0,0,0,0,0,0,0,0]
>>> map properFraction [-1/0, 0/0, 1/0] :: [(Int, Double)]
[(0,0.0),(0,0.0),(0,0.0)]

and get even more non-sensical if you ask for Integer instead of Int.

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

properFraction :: Integral b => Double -> (b, Double) Source #

truncate :: Integral b => Double -> b Source #

round :: Integral b => Double -> b Source #

ceiling :: Integral b => Double -> b Source #

floor :: Integral b => Double -> b Source #

Show Double

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

showsPrec :: Int -> Double -> ShowS Source #

show :: Double -> String Source #

showList :: [Double] -> ShowS Source #

Eq Double

Note that due to the presence of NaN, Double's Eq instance does not satisfy reflexivity.

>>> 0/0 == (0/0 :: Double)
False

Also note that Double's Eq instance does not satisfy substitutivity:

>>> 0 == (-0 :: Double)
True
>>> recip 0 == recip (-0 :: Double)
False

Instance details

Defined in GHC.Classes

Methods

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

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

Ord Double

IEEE 754 Double-precision type includes not only numbers, but also positive and negative infinities and a special element called NaN (which can be quiet or signal).

IEEE 754-2008, section 5.11 requires that if at least one of arguments of <=, <, >, >= is NaN then the result of the comparison is False, and instance Ord Double complies with this requirement. This violates the reflexivity: both NaN <= NaN and NaN >= NaN are False.

IEEE 754-2008, section 5.10 defines totalOrder predicate. Unfortunately, compare on Doubles violates the IEEE standard and does not define a total order. More specifically, both compare NaN x and compare x NaN always return GT.

Thus, users must be extremely cautious when using instance Ord Double. For instance, one should avoid ordered containers with keys represented by Double, because data loss and corruption may happen. An IEEE-compliant compare is available in fp-ieee package as TotallyOrdered newtype.

Moving further, the behaviour of min and max with regards to NaN is also non-compliant. IEEE 754-2008, section 5.3.1 defines that quiet NaN should be treated as a missing data by minNum and maxNum functions, for example, minNum(NaN, 1) = minNum(1, NaN) = 1. Some languages such as Java deviate from the standard implementing minNum(NaN, 1) = minNum(1, NaN) = NaN. However, min / max in base are even worse: min NaN 1 is 1, but min 1 NaN is NaN.

IEEE 754-2008 compliant min / max can be found in ieee754 package under minNum / maxNum names. Implementations compliant with minimumNumber / maximumNumber from a newer IEEE 754-2019, section 9.6 are available from fp-ieee package.

Instance details

Defined in GHC.Classes

Methods

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

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

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

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

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

max :: Double -> Double -> Double Source #

min :: Double -> Double -> Double Source #

Generic1 (URec Double :: k -> Type)

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 (URec Double :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (URec Double :: k -> Type) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UDouble" 'PrefixI 'True) (S1 ('MetaSel ('Just "uDouble#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UDouble :: k -> Type)))

Methods

from1 :: forall (a :: k). URec Double a -> Rep1 (URec Double :: k -> Type) a Source #

to1 :: forall (a :: k). Rep1 (URec Double :: k -> Type) a -> URec Double a Source #

Foldable (UDouble :: Type -> Type)

Since: base-4.9.0.0

Instance details

Methods

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

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

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

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

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

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

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

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

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

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

null :: UDouble a -> Bool Source #

length :: UDouble a -> Int Source #

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

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

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

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

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

Traversable (UDouble :: Type -> Type)

Since: base-4.9.0.0

Instance details

Methods

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

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

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

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

Functor (URec Double :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

Generic (URec Double p)

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (URec Double p)	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep (URec Double p) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UDouble" 'PrefixI 'True) (S1 ('MetaSel ('Just "uDouble#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UDouble :: Type -> Type)))

Methods

from :: URec Double p -> Rep (URec Double p) x Source #

to :: Rep (URec Double p) x -> URec Double p Source #

Show (URec Double p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

showsPrec :: Int -> URec Double p -> ShowS Source #

show :: URec Double p -> String Source #

showList :: [URec Double p] -> ShowS Source #

Eq (URec Double p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

Ord (URec Double p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

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

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

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

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

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

data URec Double (p :: k)

Used for marking occurrences of Double#

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

data URec Double (p :: k) = UDouble {

uDouble# :: Double#

}

type Rep1 (URec Double :: k -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

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

type Rep (URec Double p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

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

data 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

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

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

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

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

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

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

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

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)

Instance details

Defined in GHC.Internal.Generics

Associated Types

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

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

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

Methods

from1 :: Either a a0 -> Rep1 (Either a) a0 Source #

to1 :: Rep1 (Either a) a0 -> Either a a0 Source #

Eq a => Eq1 (Either a)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

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

Ord a => Ord1 (Either a)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

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

Read a => Read1 (Either a)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

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

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

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

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

Applicative (Either e)

Since: base-3.0

Instance details

Defined in GHC.Internal.Data.Either

Methods

pure :: a -> Either e a Source #

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

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

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

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

Functor (Either a)

Since: base-3.0

Instance details

Defined in GHC.Internal.Data.Either

Methods

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

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

Monad (Either e)

Since: base-4.4.0.0

Instance details

Defined in GHC.Internal.Data.Either

Methods

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

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

return :: a -> Either e a Source #

MonadFix (Either e)

Since: base-4.3.0.0

Instance details

Defined in GHC.Internal.Control.Monad.Fix

Methods

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

Foldable (Either a)

Since: base-4.7.0.0

Instance details

Methods

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

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

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

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

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

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

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

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

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

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

null :: Either a a0 -> Bool Source #

length :: Either a a0 -> Int Source #

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

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

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

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

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

Traversable (Either a)

Since: base-4.7.0.0

Instance details

Methods

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

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

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

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

Semigroup (Either a b)

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Data.Either

Methods

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

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

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

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

Since: base-4.0.0.0

Instance details

Defined in GHC.Internal.Data.Data

Methods

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

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

toConstr :: Either a b -> Constr Source #

dataTypeOf :: Either a b -> DataType Source #

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

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

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

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

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

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

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

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

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

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

Generic (Either a b)

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (Either a b)

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

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

Methods

from :: Either a b -> Rep (Either a b) x Source #

to :: Rep (Either a b) x -> Either a b Source #

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

Since: base-3.0

Instance details

Defined in GHC.Internal.Data.Either

Methods

readsPrec :: Int -> ReadS (Either a b) Source #

readList :: ReadS [Either a b] Source #

readPrec :: ReadPrec (Either a b) Source #

readListPrec :: ReadPrec [Either a b] Source #

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

Since: base-3.0

Instance details

Defined in GHC.Internal.Data.Either

Methods

showsPrec :: Int -> Either a b -> ShowS Source #

show :: Either a b -> String Source #

showList :: [Either a b] -> ShowS Source #

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

Since: base-2.1

Instance details

Defined in GHC.Internal.Data.Either

Methods

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

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

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

Since: base-2.1

Instance details

Defined in GHC.Internal.Data.Either

Methods

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

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

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

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

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

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

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

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

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

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

type Rep (Either a b)

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

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

data Float Source #

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

Instances

Instances details

PrintfArg Float

Since: base-2.1

Instance details

Defined in Text.Printf

Methods

formatArg :: Float -> FieldFormatter Source #

parseFormat :: Float -> ModifierParser Source #

Data Float

Since: base-4.0.0.0

Instance details

Defined in GHC.Internal.Data.Data

Methods

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

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

toConstr :: Float -> Constr Source #

dataTypeOf :: Float -> DataType Source #

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

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

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

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

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

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

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

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

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

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

Enum Float

fromEnum just truncates its argument, beware of all sorts of overflows.

List generators have extremely peculiar behavior, mandated by Haskell Report 2010:

>>> [0..1.5 :: Float]
[0.0,1.0,2.0]

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

succ :: Float -> Float Source #

pred :: Float -> Float Source #

toEnum :: Int -> Float Source #

fromEnum :: Float -> Int Source #

enumFrom :: Float -> [Float] Source #

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

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

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

Floating Float

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

pi :: Float Source #

exp :: Float -> Float Source #

log :: Float -> Float Source #

sqrt :: Float -> Float Source #

(**) :: Float -> Float -> Float Source #

logBase :: Float -> Float -> Float Source #

sin :: Float -> Float Source #

cos :: Float -> Float Source #

tan :: Float -> Float Source #

asin :: Float -> Float Source #

acos :: Float -> Float Source #

atan :: Float -> Float Source #

sinh :: Float -> Float Source #

cosh :: Float -> Float Source #

tanh :: Float -> Float Source #

asinh :: Float -> Float Source #

acosh :: Float -> Float Source #

atanh :: Float -> Float Source #

log1p :: Float -> Float Source #

expm1 :: Float -> Float Source #

log1pexp :: Float -> Float Source #

log1mexp :: Float -> Float Source #

RealFloat Float

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

floatRadix :: Float -> Integer Source #

floatDigits :: Float -> Int Source #

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

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

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

exponent :: Float -> Int Source #

significand :: Float -> Float Source #

scaleFloat :: Int -> Float -> Float Source #

isNaN :: Float -> Bool Source #

isInfinite :: Float -> Bool Source #

isDenormalized :: Float -> Bool Source #

isNegativeZero :: Float -> Bool Source #

isIEEE :: Float -> Bool Source #

atan2 :: Float -> Float -> Float Source #

Storable Float

Since: base-2.1

Instance details

Methods

sizeOf :: Float -> Int Source #

alignment :: Float -> Int Source #

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

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

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

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

peek :: Ptr Float -> IO Float Source #

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

Num Float

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

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

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

(+) :: Float -> Float -> Float Source #

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

(*) :: Float -> Float -> Float Source #

negate :: Float -> Float Source #

abs :: Float -> Float Source #

signum :: Float -> Float Source #

fromInteger :: Integer -> Float Source #

Read Float

Since: base-2.1

Instance details

Defined in GHC.Internal.Read

Methods

readsPrec :: Int -> ReadS Float Source #

readList :: ReadS [Float] Source #

readPrec :: ReadPrec Float Source #

readListPrec :: ReadPrec [Float] Source #

Fractional Float

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

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

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

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

recip :: Float -> Float Source #

fromRational :: Rational -> Float Source #

Real Float

Beware that toRational generates garbage for non-finite arguments:

>>> toRational (1/0 :: Float)
340282366920938463463374607431768211456 % 1
>>> toRational (0/0 :: Float)
510423550381407695195061911147652317184 % 1

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

toRational :: Float -> Rational Source #

RealFrac Float

Beware that results for non-finite arguments are garbage:

>>> [ f x | f <- [round, floor, ceiling], x <- [-1/0, 0/0, 1/0 :: Float] ] :: [Int]
[0,0,0,0,0,0,0,0,0]
>>> map properFraction [-1/0, 0/0, 1/0] :: [(Int, Float)]
[(0,0.0),(0,0.0),(0,0.0)]

and get even more non-sensical if you ask for Integer instead of Int.

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

properFraction :: Integral b => Float -> (b, Float) Source #

truncate :: Integral b => Float -> b Source #

round :: Integral b => Float -> b Source #

ceiling :: Integral b => Float -> b Source #

floor :: Integral b => Float -> b Source #

Show Float

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

showsPrec :: Int -> Float -> ShowS Source #

show :: Float -> String Source #

showList :: [Float] -> ShowS Source #

Eq Float

Note that due to the presence of NaN, Float's Eq instance does not satisfy reflexivity.

>>> 0/0 == (0/0 :: Float)
False

Also note that Float's Eq instance does not satisfy extensionality:

>>> 0 == (-0 :: Float)
True
>>> recip 0 == recip (-0 :: Float)
False

Instance details

Defined in GHC.Classes

Methods

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

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

Ord Float

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

Instance details

Defined in GHC.Classes

Methods

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

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

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

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

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

max :: Float -> Float -> Float Source #

min :: Float -> Float -> Float Source #

Generic1 (URec Float :: k -> Type)

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 (URec Float :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (URec Float :: k -> Type) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UFloat" 'PrefixI 'True) (S1 ('MetaSel ('Just "uFloat#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UFloat :: k -> Type)))

Methods

from1 :: forall (a :: k). URec Float a -> Rep1 (URec Float :: k -> Type) a Source #

to1 :: forall (a :: k). Rep1 (URec Float :: k -> Type) a -> URec Float a Source #

Foldable (UFloat :: Type -> Type)

Since: base-4.9.0.0

Instance details

Methods

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

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

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

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

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

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

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

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

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

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

null :: UFloat a -> Bool Source #

length :: UFloat a -> Int Source #

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

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

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

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

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

Traversable (UFloat :: Type -> Type)

Since: base-4.9.0.0

Instance details

Methods

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

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

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

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

Functor (URec Float :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

Generic (URec Float p)

Instance details

Defined in GHC.Internal.Generics

Associated Types

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

Methods

from :: URec Float p -> Rep (URec Float p) x Source #

to :: Rep (URec Float p) x -> URec Float p Source #

Show (URec Float p)

Instance details

Defined in GHC.Internal.Generics

Methods

showsPrec :: Int -> URec Float p -> ShowS Source #

show :: URec Float p -> String Source #

showList :: [URec Float p] -> ShowS Source #

Eq (URec Float p)

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

Ord (URec Float p)

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

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

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

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

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

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

data URec Float (p :: k)

Used for marking occurrences of Float#

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

data URec Float (p :: k) = UFloat {

uFloat# :: Float#

}

type Rep1 (URec Float :: k -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

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

type Rep (URec Float p)

Instance details

Defined in GHC.Internal.Generics

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

data Integer Source #

Arbitrary precision integers. In contrast with fixed-size integral types such as Int, the Integer type represents the entire infinite range of integers.

Integers are stored in a kind of sign-magnitude form, hence do not expect two's complement form when using bit operations.

If the value is small (i.e., fits into an Int), the IS constructor is used. Otherwise IP and IN constructors are used to store a BigNat representing the positive or the negative value magnitude, respectively.

Invariant: IP and IN are used iff the value does not fit in IS.

Instances

Instances details

PrintfArg Integer	Since: base-2.1
Instance details Defined in Text.Printf Methods formatArg :: Integer -> FieldFormatter Source # parseFormat :: Integer -> ModifierParser Source #
Bits Integer	Since: base-2.1
Instance details Defined in GHC.Internal.Bits Methods (.&.) :: Integer -> Integer -> Integer Source # (.\|.) :: Integer -> Integer -> Integer Source # xor :: Integer -> Integer -> Integer Source # complement :: Integer -> Integer Source # shift :: Integer -> Int -> Integer Source # rotate :: Integer -> Int -> Integer Source # zeroBits :: Integer Source # bit :: Int -> Integer Source # setBit :: Integer -> Int -> Integer Source # clearBit :: Integer -> Int -> Integer Source # complementBit :: Integer -> Int -> Integer Source # testBit :: Integer -> Int -> Bool Source # bitSizeMaybe :: Integer -> Maybe Int Source # bitSize :: Integer -> Int Source # isSigned :: Integer -> Bool Source # shiftL :: Integer -> Int -> Integer Source # unsafeShiftL :: Integer -> Int -> Integer Source # shiftR :: Integer -> Int -> Integer Source # unsafeShiftR :: Integer -> Int -> Integer Source # rotateL :: Integer -> Int -> Integer Source # rotateR :: Integer -> Int -> Integer Source # popCount :: Integer -> Int Source #
Data Integer	Since: base-4.0.0.0
Instance details Defined in GHC.Internal.Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Integer -> c Integer Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Integer Source # toConstr :: Integer -> Constr Source # dataTypeOf :: Integer -> DataType Source # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Integer) Source # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Integer) Source # gmapT :: (forall b. Data b => b -> b) -> Integer -> Integer Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Integer -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Integer -> r Source # gmapQ :: (forall d. Data d => d -> u) -> Integer -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> Integer -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Integer -> m Integer Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Integer -> m Integer Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Integer -> m Integer Source #
Enum Integer	Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods succ :: Integer -> Integer Source # pred :: Integer -> Integer Source # toEnum :: Int -> Integer Source # fromEnum :: Integer -> Int Source # enumFrom :: Integer -> [Integer] Source # enumFromThen :: Integer -> Integer -> [Integer] Source # enumFromTo :: Integer -> Integer -> [Integer] Source # enumFromThenTo :: Integer -> Integer -> Integer -> [Integer] Source #
Ix Integer	Since: base-2.1
Instance details Defined in GHC.Internal.Ix Methods range :: (Integer, Integer) -> [Integer] Source # index :: (Integer, Integer) -> Integer -> Int Source # unsafeIndex :: (Integer, Integer) -> Integer -> Int Source # inRange :: (Integer, Integer) -> Integer -> Bool Source # rangeSize :: (Integer, Integer) -> Int Source # unsafeRangeSize :: (Integer, Integer) -> Int Source #
Num Integer	Since: base-2.1
Instance details Defined in GHC.Internal.Num Methods (+) :: Integer -> Integer -> Integer Source # (-) :: Integer -> Integer -> Integer Source # (*) :: Integer -> Integer -> Integer Source # negate :: Integer -> Integer Source # abs :: Integer -> Integer Source # signum :: Integer -> Integer Source # fromInteger :: Integer -> Integer Source #
Read Integer	Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Integer Source # readList :: ReadS [Integer] Source # readPrec :: ReadPrec Integer Source # readListPrec :: ReadPrec [Integer] Source #
Integral Integer	Since: base-2.0.1
Instance details Defined in GHC.Internal.Real Methods quot :: Integer -> Integer -> Integer Source # rem :: Integer -> Integer -> Integer Source # div :: Integer -> Integer -> Integer Source # mod :: Integer -> Integer -> Integer Source # quotRem :: Integer -> Integer -> (Integer, Integer) Source # divMod :: Integer -> Integer -> (Integer, Integer) Source # toInteger :: Integer -> Integer Source #
Real Integer	Since: base-2.0.1
Instance details Defined in GHC.Internal.Real Methods toRational :: Integer -> Rational Source #
Show Integer	Since: base-2.1
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Integer -> ShowS Source # show :: Integer -> String Source # showList :: [Integer] -> ShowS Source #
Eq Integer
Instance details Defined in GHC.Num.Integer Methods (==) :: Integer -> Integer -> Bool Source # (/=) :: Integer -> Integer -> Bool Source #
Ord Integer
Instance details Defined in GHC.Num.Integer Methods compare :: Integer -> Integer -> Ordering Source # (<) :: Integer -> Integer -> Bool Source # (<=) :: Integer -> Integer -> Bool Source # (>) :: Integer -> Integer -> Bool Source # (>=) :: Integer -> Integer -> Bool Source # max :: Integer -> Integer -> Integer Source # min :: Integer -> Integer -> Integer Source #

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

MonadZip Maybe

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 #

Eq1 Maybe

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

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

Ord1 Maybe

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

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

Read1 Maybe

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

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

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

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

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

Alternative Maybe

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

Since: base-2.1

Instance details

Defined in GHC.Internal.Base

Methods

empty :: Maybe a Source #

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

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

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

Applicative Maybe

Since: base-2.1

Instance details

Defined in GHC.Internal.Base

Methods

pure :: a -> Maybe a Source #

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

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

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

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

Functor Maybe

Since: base-2.1

Instance details

Defined in GHC.Internal.Base

Methods

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

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

Monad Maybe

Since: base-2.1

Instance details

Defined in GHC.Internal.Base

Methods

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

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

return :: a -> Maybe a Source #

MonadPlus Maybe

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

Since: base-2.1

Instance details

Defined in GHC.Internal.Base

Methods

mzero :: Maybe a Source #

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

MonadFail Maybe

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Control.Monad.Fail

Methods

fail :: String -> Maybe a Source #

MonadFix Maybe

Since: base-2.1

Instance details

Defined in GHC.Internal.Control.Monad.Fix

Methods

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

Foldable Maybe

Since: base-2.1

Instance details

Methods

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

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

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

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

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

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

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

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

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

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

null :: Maybe a -> Bool Source #

length :: Maybe a -> Int Source #

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

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

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

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

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

Traversable Maybe

Since: base-2.1

Instance details

Methods

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

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

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

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

Generic1 Maybe

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 Maybe	Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 Maybe = D1 ('MetaData "Maybe" "GHC.Internal.Maybe" "ghc-internal" 'False) (C1 ('MetaCons "Nothing" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "Just" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Maybe a -> Rep1 Maybe a Source #

to1 :: Rep1 Maybe a -> Maybe a Source #

Semigroup a => Monoid (Maybe a)

Lift a semigroup into Maybe forming a Monoid according to http://en.wikipedia.org/wiki/Monoid: "Any semigroup S may be turned into a monoid simply by adjoining an element e not in S and defining e*e = e and e*s = s = s*e for all s ∈ S."

Since 4.11.0: constraint on inner a value generalised from Monoid to Semigroup.

Since: base-2.1

Instance details

Defined in GHC.Internal.Base

Methods

mempty :: Maybe a Source #

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

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

Semigroup a => Semigroup (Maybe a)

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Base

Methods

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

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

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

Data a => Data (Maybe a)

Since: base-4.0.0.0

Instance details

Defined in GHC.Internal.Data.Data

Methods

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

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

toConstr :: Maybe a -> Constr Source #

dataTypeOf :: Maybe a -> DataType Source #

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

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

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

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

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

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

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

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

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

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

Generic (Maybe a)

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (Maybe a)	Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Generics type Rep (Maybe a) = D1 ('MetaData "Maybe" "GHC.Internal.Maybe" "ghc-internal" 'False) (C1 ('MetaCons "Nothing" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "Just" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

Methods

from :: Maybe a -> Rep (Maybe a) x Source #

to :: Rep (Maybe a) x -> Maybe a Source #

SingKind a => SingKind (Maybe a)

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Associated Types

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

Methods

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

Read a => Read (Maybe a)

Since: base-2.1

Instance details

Defined in GHC.Internal.Read

Methods

readsPrec :: Int -> ReadS (Maybe a) Source #

readList :: ReadS [Maybe a] Source #

readPrec :: ReadPrec (Maybe a) Source #

readListPrec :: ReadPrec [Maybe a] Source #

Show a => Show (Maybe a)

Since: base-2.1

Instance details

Defined in GHC.Internal.Show

Methods

showsPrec :: Int -> Maybe a -> ShowS Source #

show :: Maybe a -> String Source #

showList :: [Maybe a] -> ShowS Source #

Eq a => Eq (Maybe a)

Since: base-2.1

Instance details

Defined in GHC.Internal.Maybe

Methods

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

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

Ord a => Ord (Maybe a)

Since: base-2.1

Instance details

Defined in GHC.Internal.Maybe

Methods

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

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

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

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

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

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

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

SingI ('Nothing :: Maybe a)

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

sing :: Sing ('Just a2)

type Rep1 Maybe

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

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

type DemoteRep (Maybe a)

Instance details

Defined in GHC.Internal.Generics

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

type Rep (Maybe a)

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

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

data Sing (b :: Maybe a)

Instance details

Defined in GHC.Internal.Generics

data Sing (b :: Maybe a) where

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

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.

From Data.Int

data Int Source #

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

Instances

Instances details

PrintfArg Int

Since: base-2.1

Instance details

Defined in Text.Printf

Methods

formatArg :: Int -> FieldFormatter Source #

parseFormat :: Int -> ModifierParser Source #

Bits Int

Since: base-2.1

Instance details

Defined in GHC.Internal.Bits

Methods

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

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

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

complement :: Int -> Int Source #

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

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

zeroBits :: Int Source #

bit :: Int -> Int Source #

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

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

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

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

bitSizeMaybe :: Int -> Maybe Int Source #

bitSize :: Int -> Int Source #

isSigned :: Int -> Bool Source #

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

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

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

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

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

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

popCount :: Int -> Int Source #

FiniteBits Int

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Bits

Methods

finiteBitSize :: Int -> Int Source #

countLeadingZeros :: Int -> Int Source #

countTrailingZeros :: Int -> Int Source #

Data Int

Since: base-4.0.0.0

Instance details

Defined in GHC.Internal.Data.Data

Methods

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

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

toConstr :: Int -> Constr Source #

dataTypeOf :: Int -> DataType Source #

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

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

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

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

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

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

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

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

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

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

Bounded Int

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Methods

minBound :: Int Source #

maxBound :: Int Source #

Enum Int

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Methods

succ :: Int -> Int Source #

pred :: Int -> Int Source #

toEnum :: Int -> Int Source #

fromEnum :: Int -> Int Source #

enumFrom :: Int -> [Int] Source #

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

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

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

Storable Int

Since: base-2.1

Instance details

Methods

sizeOf :: Int -> Int Source #

alignment :: Int -> Int Source #

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

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

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

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

peek :: Ptr Int -> IO Int Source #

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

Ix Int

Since: base-2.1

Instance details

Defined in GHC.Internal.Ix

Methods

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

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

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

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

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

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

Num Int

Since: base-2.1

Instance details

Defined in GHC.Internal.Num

Methods

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

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

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

negate :: Int -> Int Source #

abs :: Int -> Int Source #

signum :: Int -> Int Source #

fromInteger :: Integer -> Int Source #

Read Int

Since: base-2.1

Instance details

Defined in GHC.Internal.Read

Methods

readsPrec :: Int -> ReadS Int Source #

readList :: ReadS [Int] Source #

readPrec :: ReadPrec Int Source #

readListPrec :: ReadPrec [Int] Source #

Integral Int

Since: base-2.0.1

Instance details

Defined in GHC.Internal.Real

Methods

quot :: Int -> Int -> Int Source #

rem :: Int -> Int -> Int Source #

div :: Int -> Int -> Int Source #

mod :: Int -> Int -> Int Source #

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

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

toInteger :: Int -> Integer Source #

Real Int

Since: base-2.0.1

Instance details

Defined in GHC.Internal.Real

Methods

toRational :: Int -> Rational Source #

Show Int

Since: base-2.1

Instance details

Defined in GHC.Internal.Show

Methods

showsPrec :: Int -> Int -> ShowS Source #

show :: Int -> String Source #

showList :: [Int] -> ShowS Source #

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)

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 (URec Int :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (URec Int :: k -> Type) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UInt" 'PrefixI 'True) (S1 ('MetaSel ('Just "uInt#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UInt :: k -> Type)))

Methods

from1 :: forall (a :: k). URec Int a -> Rep1 (URec Int :: k -> Type) a Source #

to1 :: forall (a :: k). Rep1 (URec Int :: k -> Type) a -> URec Int a Source #

Foldable (UInt :: Type -> Type)

Since: base-4.9.0.0

Instance details

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)

Since: base-4.9.0.0

Instance details

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)

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

Generic (URec Int p)

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (URec Int p)	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep (URec Int p) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UInt" 'PrefixI 'True) (S1 ('MetaSel ('Just "uInt#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UInt :: Type -> Type)))

Methods

from :: URec Int p -> Rep (URec Int p) x Source #

to :: Rep (URec Int p) x -> URec Int p Source #

Show (URec Int p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

showsPrec :: Int -> URec Int p -> ShowS Source #

show :: URec Int p -> String Source #

showList :: [URec Int p] -> ShowS Source #

Eq (URec Int p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

Ord (URec Int p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

compare :: URec Int p -> URec Int p -> Ordering 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)

Used for marking occurrences of Int#

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

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

uInt# :: Int#

}

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

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

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

type Rep (URec Int p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

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

data Int8 Source #

8-bit signed integer type

Instances

Instances details

PrintfArg Int8	Since: base-2.1
Instance details Defined in Text.Printf Methods formatArg :: Int8 -> FieldFormatter Source # parseFormat :: Int8 -> ModifierParser Source #
Bits Int8	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods (.&.) :: Int8 -> Int8 -> Int8 Source # (.\|.) :: Int8 -> Int8 -> Int8 Source # xor :: Int8 -> Int8 -> Int8 Source # complement :: Int8 -> Int8 Source # shift :: Int8 -> Int -> Int8 Source # rotate :: Int8 -> Int -> Int8 Source # zeroBits :: Int8 Source # bit :: Int -> Int8 Source # setBit :: Int8 -> Int -> Int8 Source # clearBit :: Int8 -> Int -> Int8 Source # complementBit :: Int8 -> Int -> Int8 Source # testBit :: Int8 -> Int -> Bool Source # bitSizeMaybe :: Int8 -> Maybe Int Source # bitSize :: Int8 -> Int Source # isSigned :: Int8 -> Bool Source # shiftL :: Int8 -> Int -> Int8 Source # unsafeShiftL :: Int8 -> Int -> Int8 Source # shiftR :: Int8 -> Int -> Int8 Source # unsafeShiftR :: Int8 -> Int -> Int8 Source # rotateL :: Int8 -> Int -> Int8 Source # rotateR :: Int8 -> Int -> Int8 Source # popCount :: Int8 -> Int Source #
FiniteBits Int8	Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Int Methods finiteBitSize :: Int8 -> Int Source # countLeadingZeros :: Int8 -> Int Source # countTrailingZeros :: Int8 -> Int Source #
Data Int8	Since: base-4.0.0.0
Instance details Defined in GHC.Internal.Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Int8 -> c Int8 Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Int8 Source # toConstr :: Int8 -> Constr Source # dataTypeOf :: Int8 -> DataType Source # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Int8) Source # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Int8) Source # gmapT :: (forall b. Data b => b -> b) -> Int8 -> Int8 Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Int8 -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Int8 -> r Source # gmapQ :: (forall d. Data d => d -> u) -> Int8 -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> Int8 -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Int8 -> m Int8 Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Int8 -> m Int8 Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Int8 -> m Int8 Source #
Bounded Int8	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods minBound :: Int8 Source # maxBound :: Int8 Source #
Enum Int8	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods succ :: Int8 -> Int8 Source # pred :: Int8 -> Int8 Source # toEnum :: Int -> Int8 Source # fromEnum :: Int8 -> Int Source # enumFrom :: Int8 -> [Int8] Source # enumFromThen :: Int8 -> Int8 -> [Int8] Source # enumFromTo :: Int8 -> Int8 -> [Int8] Source # enumFromThenTo :: Int8 -> Int8 -> Int8 -> [Int8] Source #
Storable Int8	Since: base-2.1
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Int8 -> Int Source # alignment :: Int8 -> Int Source # peekElemOff :: Ptr Int8 -> Int -> IO Int8 Source # pokeElemOff :: Ptr Int8 -> Int -> Int8 -> IO () Source # peekByteOff :: Ptr b -> Int -> IO Int8 Source # pokeByteOff :: Ptr b -> Int -> Int8 -> IO () Source # peek :: Ptr Int8 -> IO Int8 Source # poke :: Ptr Int8 -> Int8 -> IO () Source #
Ix Int8	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods range :: (Int8, Int8) -> [Int8] Source # index :: (Int8, Int8) -> Int8 -> Int Source # unsafeIndex :: (Int8, Int8) -> Int8 -> Int Source # inRange :: (Int8, Int8) -> Int8 -> Bool Source # rangeSize :: (Int8, Int8) -> Int Source # unsafeRangeSize :: (Int8, Int8) -> Int Source #
Num Int8	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods (+) :: Int8 -> Int8 -> Int8 Source # (-) :: Int8 -> Int8 -> Int8 Source # (*) :: Int8 -> Int8 -> Int8 Source # negate :: Int8 -> Int8 Source # abs :: Int8 -> Int8 Source # signum :: Int8 -> Int8 Source # fromInteger :: Integer -> Int8 Source #
Read Int8	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods readsPrec :: Int -> ReadS Int8 Source # readList :: ReadS [Int8] Source # readPrec :: ReadPrec Int8 Source # readListPrec :: ReadPrec [Int8] Source #
Integral Int8	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods quot :: Int8 -> Int8 -> Int8 Source # rem :: Int8 -> Int8 -> Int8 Source # div :: Int8 -> Int8 -> Int8 Source # mod :: Int8 -> Int8 -> Int8 Source # quotRem :: Int8 -> Int8 -> (Int8, Int8) Source # divMod :: Int8 -> Int8 -> (Int8, Int8) Source # toInteger :: Int8 -> Integer Source #
Real Int8	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods toRational :: Int8 -> Rational Source #
Show Int8	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods showsPrec :: Int -> Int8 -> ShowS Source # show :: Int8 -> String Source # showList :: [Int8] -> ShowS Source #
Eq Int8	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods (==) :: Int8 -> Int8 -> Bool Source # (/=) :: Int8 -> Int8 -> Bool Source #
Ord Int8	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods compare :: Int8 -> Int8 -> Ordering Source # (<) :: Int8 -> Int8 -> Bool Source # (<=) :: Int8 -> Int8 -> Bool Source # (>) :: Int8 -> Int8 -> Bool Source # (>=) :: Int8 -> Int8 -> Bool Source # max :: Int8 -> Int8 -> Int8 Source # min :: Int8 -> Int8 -> Int8 Source #

data Int16 Source #

16-bit signed integer type

Instances

Instances details

PrintfArg Int16	Since: base-2.1
Instance details Defined in Text.Printf Methods formatArg :: Int16 -> FieldFormatter Source # parseFormat :: Int16 -> ModifierParser Source #
Bits Int16	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods (.&.) :: Int16 -> Int16 -> Int16 Source # (.\|.) :: Int16 -> Int16 -> Int16 Source # xor :: Int16 -> Int16 -> Int16 Source # complement :: Int16 -> Int16 Source # shift :: Int16 -> Int -> Int16 Source # rotate :: Int16 -> Int -> Int16 Source # zeroBits :: Int16 Source # bit :: Int -> Int16 Source # setBit :: Int16 -> Int -> Int16 Source # clearBit :: Int16 -> Int -> Int16 Source # complementBit :: Int16 -> Int -> Int16 Source # testBit :: Int16 -> Int -> Bool Source # bitSizeMaybe :: Int16 -> Maybe Int Source # bitSize :: Int16 -> Int Source # isSigned :: Int16 -> Bool Source # shiftL :: Int16 -> Int -> Int16 Source # unsafeShiftL :: Int16 -> Int -> Int16 Source # shiftR :: Int16 -> Int -> Int16 Source # unsafeShiftR :: Int16 -> Int -> Int16 Source # rotateL :: Int16 -> Int -> Int16 Source # rotateR :: Int16 -> Int -> Int16 Source # popCount :: Int16 -> Int Source #
FiniteBits Int16	Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Int Methods finiteBitSize :: Int16 -> Int Source # countLeadingZeros :: Int16 -> Int Source # countTrailingZeros :: Int16 -> Int Source #
Data Int16	Since: base-4.0.0.0
Instance details Defined in GHC.Internal.Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Int16 -> c Int16 Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Int16 Source # toConstr :: Int16 -> Constr Source # dataTypeOf :: Int16 -> DataType Source # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Int16) Source # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Int16) Source # gmapT :: (forall b. Data b => b -> b) -> Int16 -> Int16 Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Int16 -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Int16 -> r Source # gmapQ :: (forall d. Data d => d -> u) -> Int16 -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> Int16 -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Int16 -> m Int16 Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Int16 -> m Int16 Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Int16 -> m Int16 Source #
Bounded Int16	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods minBound :: Int16 Source # maxBound :: Int16 Source #
Enum Int16	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods succ :: Int16 -> Int16 Source # pred :: Int16 -> Int16 Source # toEnum :: Int -> Int16 Source # fromEnum :: Int16 -> Int Source # enumFrom :: Int16 -> [Int16] Source # enumFromThen :: Int16 -> Int16 -> [Int16] Source # enumFromTo :: Int16 -> Int16 -> [Int16] Source # enumFromThenTo :: Int16 -> Int16 -> Int16 -> [Int16] Source #
Storable Int16	Since: base-2.1
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Int16 -> Int Source # alignment :: Int16 -> Int Source # peekElemOff :: Ptr Int16 -> Int -> IO Int16 Source # pokeElemOff :: Ptr Int16 -> Int -> Int16 -> IO () Source # peekByteOff :: Ptr b -> Int -> IO Int16 Source # pokeByteOff :: Ptr b -> Int -> Int16 -> IO () Source # peek :: Ptr Int16 -> IO Int16 Source # poke :: Ptr Int16 -> Int16 -> IO () Source #
Ix Int16	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods range :: (Int16, Int16) -> [Int16] Source # index :: (Int16, Int16) -> Int16 -> Int Source # unsafeIndex :: (Int16, Int16) -> Int16 -> Int Source # inRange :: (Int16, Int16) -> Int16 -> Bool Source # rangeSize :: (Int16, Int16) -> Int Source # unsafeRangeSize :: (Int16, Int16) -> Int Source #
Num Int16	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods (+) :: Int16 -> Int16 -> Int16 Source # (-) :: Int16 -> Int16 -> Int16 Source # (*) :: Int16 -> Int16 -> Int16 Source # negate :: Int16 -> Int16 Source # abs :: Int16 -> Int16 Source # signum :: Int16 -> Int16 Source # fromInteger :: Integer -> Int16 Source #
Read Int16	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods readsPrec :: Int -> ReadS Int16 Source # readList :: ReadS [Int16] Source # readPrec :: ReadPrec Int16 Source # readListPrec :: ReadPrec [Int16] Source #
Integral Int16	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods quot :: Int16 -> Int16 -> Int16 Source # rem :: Int16 -> Int16 -> Int16 Source # div :: Int16 -> Int16 -> Int16 Source # mod :: Int16 -> Int16 -> Int16 Source # quotRem :: Int16 -> Int16 -> (Int16, Int16) Source # divMod :: Int16 -> Int16 -> (Int16, Int16) Source # toInteger :: Int16 -> Integer Source #
Real Int16	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods toRational :: Int16 -> Rational Source #
Show Int16	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods showsPrec :: Int -> Int16 -> ShowS Source # show :: Int16 -> String Source # showList :: [Int16] -> ShowS Source #
Eq Int16	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods (==) :: Int16 -> Int16 -> Bool Source # (/=) :: Int16 -> Int16 -> Bool Source #
Ord Int16	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods compare :: Int16 -> Int16 -> Ordering Source # (<) :: Int16 -> Int16 -> Bool Source # (<=) :: Int16 -> Int16 -> Bool Source # (>) :: Int16 -> Int16 -> Bool Source # (>=) :: Int16 -> Int16 -> Bool Source # max :: Int16 -> Int16 -> Int16 Source # min :: Int16 -> Int16 -> Int16 Source #

data Int32 Source #

32-bit signed integer type

Instances

Instances details

PrintfArg Int32	Since: base-2.1
Instance details Defined in Text.Printf Methods formatArg :: Int32 -> FieldFormatter Source # parseFormat :: Int32 -> ModifierParser Source #
Bits Int32	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods (.&.) :: Int32 -> Int32 -> Int32 Source # (.\|.) :: Int32 -> Int32 -> Int32 Source # xor :: Int32 -> Int32 -> Int32 Source # complement :: Int32 -> Int32 Source # shift :: Int32 -> Int -> Int32 Source # rotate :: Int32 -> Int -> Int32 Source # zeroBits :: Int32 Source # bit :: Int -> Int32 Source # setBit :: Int32 -> Int -> Int32 Source # clearBit :: Int32 -> Int -> Int32 Source # complementBit :: Int32 -> Int -> Int32 Source # testBit :: Int32 -> Int -> Bool Source # bitSizeMaybe :: Int32 -> Maybe Int Source # bitSize :: Int32 -> Int Source # isSigned :: Int32 -> Bool Source # shiftL :: Int32 -> Int -> Int32 Source # unsafeShiftL :: Int32 -> Int -> Int32 Source # shiftR :: Int32 -> Int -> Int32 Source # unsafeShiftR :: Int32 -> Int -> Int32 Source # rotateL :: Int32 -> Int -> Int32 Source # rotateR :: Int32 -> Int -> Int32 Source # popCount :: Int32 -> Int Source #
FiniteBits Int32	Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Int Methods finiteBitSize :: Int32 -> Int Source # countLeadingZeros :: Int32 -> Int Source # countTrailingZeros :: Int32 -> Int Source #
Data Int32	Since: base-4.0.0.0
Instance details Defined in GHC.Internal.Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Int32 -> c Int32 Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Int32 Source # toConstr :: Int32 -> Constr Source # dataTypeOf :: Int32 -> DataType Source # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Int32) Source # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Int32) Source # gmapT :: (forall b. Data b => b -> b) -> Int32 -> Int32 Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Int32 -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Int32 -> r Source # gmapQ :: (forall d. Data d => d -> u) -> Int32 -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> Int32 -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Int32 -> m Int32 Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Int32 -> m Int32 Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Int32 -> m Int32 Source #
Bounded Int32	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods minBound :: Int32 Source # maxBound :: Int32 Source #
Enum Int32	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods succ :: Int32 -> Int32 Source # pred :: Int32 -> Int32 Source # toEnum :: Int -> Int32 Source # fromEnum :: Int32 -> Int Source # enumFrom :: Int32 -> [Int32] Source # enumFromThen :: Int32 -> Int32 -> [Int32] Source # enumFromTo :: Int32 -> Int32 -> [Int32] Source # enumFromThenTo :: Int32 -> Int32 -> Int32 -> [Int32] Source #
Storable Int32	Since: base-2.1
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Int32 -> Int Source # alignment :: Int32 -> Int Source # peekElemOff :: Ptr Int32 -> Int -> IO Int32 Source # pokeElemOff :: Ptr Int32 -> Int -> Int32 -> IO () Source # peekByteOff :: Ptr b -> Int -> IO Int32 Source # pokeByteOff :: Ptr b -> Int -> Int32 -> IO () Source # peek :: Ptr Int32 -> IO Int32 Source # poke :: Ptr Int32 -> Int32 -> IO () Source #
Ix Int32	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods range :: (Int32, Int32) -> [Int32] Source # index :: (Int32, Int32) -> Int32 -> Int Source # unsafeIndex :: (Int32, Int32) -> Int32 -> Int Source # inRange :: (Int32, Int32) -> Int32 -> Bool Source # rangeSize :: (Int32, Int32) -> Int Source # unsafeRangeSize :: (Int32, Int32) -> Int Source #
Num Int32	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods (+) :: Int32 -> Int32 -> Int32 Source # (-) :: Int32 -> Int32 -> Int32 Source # (*) :: Int32 -> Int32 -> Int32 Source # negate :: Int32 -> Int32 Source # abs :: Int32 -> Int32 Source # signum :: Int32 -> Int32 Source # fromInteger :: Integer -> Int32 Source #
Read Int32	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods readsPrec :: Int -> ReadS Int32 Source # readList :: ReadS [Int32] Source # readPrec :: ReadPrec Int32 Source # readListPrec :: ReadPrec [Int32] Source #
Integral Int32	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods quot :: Int32 -> Int32 -> Int32 Source # rem :: Int32 -> Int32 -> Int32 Source # div :: Int32 -> Int32 -> Int32 Source # mod :: Int32 -> Int32 -> Int32 Source # quotRem :: Int32 -> Int32 -> (Int32, Int32) Source # divMod :: Int32 -> Int32 -> (Int32, Int32) Source # toInteger :: Int32 -> Integer Source #
Real Int32	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods toRational :: Int32 -> Rational Source #
Show Int32	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods showsPrec :: Int -> Int32 -> ShowS Source # show :: Int32 -> String Source # showList :: [Int32] -> ShowS Source #
Eq Int32	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods (==) :: Int32 -> Int32 -> Bool Source # (/=) :: Int32 -> Int32 -> Bool Source #
Ord Int32	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods compare :: Int32 -> Int32 -> Ordering Source # (<) :: Int32 -> Int32 -> Bool Source # (<=) :: Int32 -> Int32 -> Bool Source # (>) :: Int32 -> Int32 -> Bool Source # (>=) :: Int32 -> Int32 -> Bool Source # max :: Int32 -> Int32 -> Int32 Source # min :: Int32 -> Int32 -> Int32 Source #

data Int64 Source #

64-bit signed integer type

Instances

Instances details

PrintfArg Int64	Since: base-2.1
Instance details Defined in Text.Printf Methods formatArg :: Int64 -> FieldFormatter Source # parseFormat :: Int64 -> ModifierParser Source #
Bits Int64	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods (.&.) :: Int64 -> Int64 -> Int64 Source # (.\|.) :: Int64 -> Int64 -> Int64 Source # xor :: Int64 -> Int64 -> Int64 Source # complement :: Int64 -> Int64 Source # shift :: Int64 -> Int -> Int64 Source # rotate :: Int64 -> Int -> Int64 Source # zeroBits :: Int64 Source # bit :: Int -> Int64 Source # setBit :: Int64 -> Int -> Int64 Source # clearBit :: Int64 -> Int -> Int64 Source # complementBit :: Int64 -> Int -> Int64 Source # testBit :: Int64 -> Int -> Bool Source # bitSizeMaybe :: Int64 -> Maybe Int Source # bitSize :: Int64 -> Int Source # isSigned :: Int64 -> Bool Source # shiftL :: Int64 -> Int -> Int64 Source # unsafeShiftL :: Int64 -> Int -> Int64 Source # shiftR :: Int64 -> Int -> Int64 Source # unsafeShiftR :: Int64 -> Int -> Int64 Source # rotateL :: Int64 -> Int -> Int64 Source # rotateR :: Int64 -> Int -> Int64 Source # popCount :: Int64 -> Int Source #
FiniteBits Int64	Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Int Methods finiteBitSize :: Int64 -> Int Source # countLeadingZeros :: Int64 -> Int Source # countTrailingZeros :: Int64 -> Int Source #
Data Int64	Since: base-4.0.0.0
Instance details Defined in GHC.Internal.Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Int64 -> c Int64 Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Int64 Source # toConstr :: Int64 -> Constr Source # dataTypeOf :: Int64 -> DataType Source # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Int64) Source # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Int64) Source # gmapT :: (forall b. Data b => b -> b) -> Int64 -> Int64 Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Int64 -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Int64 -> r Source # gmapQ :: (forall d. Data d => d -> u) -> Int64 -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> Int64 -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Int64 -> m Int64 Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Int64 -> m Int64 Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Int64 -> m Int64 Source #
Bounded Int64	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods minBound :: Int64 Source # maxBound :: Int64 Source #
Enum Int64	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods succ :: Int64 -> Int64 Source # pred :: Int64 -> Int64 Source # toEnum :: Int -> Int64 Source # fromEnum :: Int64 -> Int Source # enumFrom :: Int64 -> [Int64] Source # enumFromThen :: Int64 -> Int64 -> [Int64] Source # enumFromTo :: Int64 -> Int64 -> [Int64] Source # enumFromThenTo :: Int64 -> Int64 -> Int64 -> [Int64] Source #
Storable Int64	Since: base-2.1
Instance details Defined in GHC.Internal.Foreign.Storable Methods sizeOf :: Int64 -> Int Source # alignment :: Int64 -> Int Source # peekElemOff :: Ptr Int64 -> Int -> IO Int64 Source # pokeElemOff :: Ptr Int64 -> Int -> Int64 -> IO () Source # peekByteOff :: Ptr b -> Int -> IO Int64 Source # pokeByteOff :: Ptr b -> Int -> Int64 -> IO () Source # peek :: Ptr Int64 -> IO Int64 Source # poke :: Ptr Int64 -> Int64 -> IO () Source #
Ix Int64	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods range :: (Int64, Int64) -> [Int64] Source # index :: (Int64, Int64) -> Int64 -> Int Source # unsafeIndex :: (Int64, Int64) -> Int64 -> Int Source # inRange :: (Int64, Int64) -> Int64 -> Bool Source # rangeSize :: (Int64, Int64) -> Int Source # unsafeRangeSize :: (Int64, Int64) -> Int Source #
Num Int64	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods (+) :: Int64 -> Int64 -> Int64 Source # (-) :: Int64 -> Int64 -> Int64 Source # (*) :: Int64 -> Int64 -> Int64 Source # negate :: Int64 -> Int64 Source # abs :: Int64 -> Int64 Source # signum :: Int64 -> Int64 Source # fromInteger :: Integer -> Int64 Source #
Read Int64	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods readsPrec :: Int -> ReadS Int64 Source # readList :: ReadS [Int64] Source # readPrec :: ReadPrec Int64 Source # readListPrec :: ReadPrec [Int64] Source #
Integral Int64	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods quot :: Int64 -> Int64 -> Int64 Source # rem :: Int64 -> Int64 -> Int64 Source # div :: Int64 -> Int64 -> Int64 Source # mod :: Int64 -> Int64 -> Int64 Source # quotRem :: Int64 -> Int64 -> (Int64, Int64) Source # divMod :: Int64 -> Int64 -> (Int64, Int64) Source # toInteger :: Int64 -> Integer Source #
Real Int64	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods toRational :: Int64 -> Rational Source #
Show Int64	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods showsPrec :: Int -> Int64 -> ShowS Source # show :: Int64 -> String Source # showList :: [Int64] -> ShowS Source #
Eq Int64	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods (==) :: Int64 -> Int64 -> Bool Source # (/=) :: Int64 -> Int64 -> Bool Source #
Ord Int64	Since: base-2.1
Instance details Defined in GHC.Internal.Int Methods compare :: Int64 -> Int64 -> Ordering Source # (<) :: Int64 -> Int64 -> Bool Source # (<=) :: Int64 -> Int64 -> Bool Source # (>) :: Int64 -> Int64 -> Bool Source # (>=) :: Int64 -> Int64 -> Bool Source # max :: Int64 -> Int64 -> Int64 Source # min :: Int64 -> Int64 -> Int64 Source #

From Data.Word

data Word Source #

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

Instances

Instances details

PrintfArg Word

Since: base-2.1

Instance details

Defined in Text.Printf

Methods

formatArg :: Word -> FieldFormatter Source #

parseFormat :: Word -> ModifierParser Source #

Bits Word

Since: base-2.1

Instance details

Defined in GHC.Internal.Bits

Methods

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

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

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

complement :: Word -> Word Source #

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

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

zeroBits :: Word Source #

bit :: Int -> Word Source #

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

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

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

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

bitSizeMaybe :: Word -> Maybe Int Source #

bitSize :: Word -> Int Source #

isSigned :: Word -> Bool Source #

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

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

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

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

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

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

popCount :: Word -> Int Source #

FiniteBits Word

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Bits

Methods

finiteBitSize :: Word -> Int Source #

countLeadingZeros :: Word -> Int Source #

countTrailingZeros :: Word -> Int Source #

Data Word

Since: base-4.0.0.0

Instance details

Defined in GHC.Internal.Data.Data

Methods

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

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

toConstr :: Word -> Constr Source #

dataTypeOf :: Word -> DataType Source #

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

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

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

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

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

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

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

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

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

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

Bounded Word

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Methods

minBound :: Word Source #

maxBound :: Word Source #

Enum Word

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Methods

succ :: Word -> Word Source #

pred :: Word -> Word Source #

toEnum :: Int -> Word Source #

fromEnum :: Word -> Int Source #

enumFrom :: Word -> [Word] Source #

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

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

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

Storable Word

Since: base-2.1

Instance details

Methods

sizeOf :: Word -> Int Source #

alignment :: Word -> Int Source #

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

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

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

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

peek :: Ptr Word -> IO Word Source #

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

Ix Word

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Ix

Methods

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

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

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

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

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

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

Num Word

Since: base-2.1

Instance details

Defined in GHC.Internal.Num

Methods

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

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

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

negate :: Word -> Word Source #

abs :: Word -> Word Source #

signum :: Word -> Word Source #

fromInteger :: Integer -> Word Source #

Read Word

Since: base-4.5.0.0

Instance details

Defined in GHC.Internal.Read

Methods

readsPrec :: Int -> ReadS Word Source #

readList :: ReadS [Word] Source #

readPrec :: ReadPrec Word Source #

readListPrec :: ReadPrec [Word] Source #

Integral Word

Since: base-2.1

Instance details

Defined in GHC.Internal.Real

Methods

quot :: Word -> Word -> Word Source #

rem :: Word -> Word -> Word Source #

div :: Word -> Word -> Word Source #

mod :: Word -> Word -> Word Source #

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

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

toInteger :: Word -> Integer Source #

Real Word

Since: base-2.1

Instance details

Defined in GHC.Internal.Real

Methods

toRational :: Word -> Rational Source #

Show Word

Since: base-2.1

Instance details

Defined in GHC.Internal.Show

Methods

showsPrec :: Int -> Word -> ShowS Source #

show :: Word -> String Source #

showList :: [Word] -> ShowS Source #

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)

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 (URec Word :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (URec Word :: k -> Type) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UWord" 'PrefixI 'True) (S1 ('MetaSel ('Just "uWord#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UWord :: k -> Type)))

Methods

from1 :: forall (a :: k). URec Word a -> Rep1 (URec Word :: k -> Type) a Source #

to1 :: forall (a :: k). Rep1 (URec Word :: k -> Type) a -> URec Word a Source #

Foldable (UWord :: Type -> Type)

Since: base-4.9.0.0

Instance details

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)

Since: base-4.9.0.0

Instance details