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

Safe Haskell | Safe-Inferred
Language | Haskell2010

BasePrelude.DataTypes

Contents

- From Prelude
- From Data.Int
- From Data.Word
- From Data.Complex
- From Data.Ratio
- From Numeric.Natural
- From Data.List.NonEmpty

Description

A module that reexports only the data types defined across various modules of the "base" package.

By data types we mean that it is the ones we use to define data structures. It is not abstraction integration wrappers, like `First`. It is not resource types like `Handle`.

Synopsis

- data Bool
  - = False
  - | True
- data Char
- data Double
- data Either a b
  - = Left a
  - | Right b
- data Float
- data Integer
- data Maybe a
  - = Nothing
  - | Just a
- type String = [Char]
- data Int
- data Int8
- data Int16
- data Int32
- data Int64
- data Word
- data Word8
- data Word16
- data Word32
- data Word64
- data Complex a = !a :+ !a
- type Rational = Ratio Integer
- data Natural
- data NonEmpty a = a :| [a]

# From Prelude

data Bool Source #

Constructors

False |
True |

#### Instances

Instances details

Bits Bool | Interpret `Bool` as 1-bit bit-field Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Bits

Methods

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

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

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

complement :: Bool -> Bool Source #

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

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

zeroBits :: Bool Source #

bit :: Int -> Bool Source #

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

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

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

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

bitSizeMaybe :: Bool -> Maybe Int Source #

bitSize :: Bool -> Int Source #

isSigned :: Bool -> Bool Source #

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

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

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

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

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

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

popCount :: Bool -> Int Source #

FiniteBits Bool | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Bits Methods finiteBitSize :: Bool -> Int Source # countLeadingZeros :: Bool -> Int Source # countTrailingZeros :: Bool -> Int Source #
Data Bool | Since: base-4.0.0.0

Instance details

Defined in GHC.Internal.Data.Data

Methods

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

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

toConstr :: Bool -> Constr Source #

dataTypeOf :: Bool -> DataType Source #

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

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

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

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

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

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

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

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

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

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

Bounded Bool | Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods minBound :: Bool Source # maxBound :: Bool Source #
Enum Bool | Since: base-2.1
Instance details Defined in GHC.Internal.Enum Methods succ :: Bool -> Bool Source # pred :: Bool -> Bool Source # toEnum :: Int -> Bool Source # fromEnum :: Bool -> Int Source # enumFrom :: Bool -> [Bool] Source # enumFromThen :: Bool -> Bool -> [Bool] Source # enumFromTo :: Bool -> Bool -> [Bool] Source # enumFromThenTo :: Bool -> Bool -> Bool -> [Bool] Source #
Storable Bool | Since: base-2.1

Instance details

Defined in GHC.Internal.Foreign.Storable

Methods

sizeOf :: Bool -> Int Source #

alignment :: Bool -> Int Source #

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

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

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

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

peek :: Ptr Bool -> IO Bool Source #

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

Generic Bool |

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

Defined in GHC.Internal.Foreign.Storable

Methods

sizeOf :: Char -> Int Source #

alignment :: Char -> Int Source #

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

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

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

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

peek :: Ptr Char -> IO Char Source #

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

Ix Char | 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

Defined in GHC.Internal.Data.Foldable

Methods

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

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

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

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

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

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

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

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

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

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

null :: UChar a -> Bool Source #

length :: UChar a -> Int Source #

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

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

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

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

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

Traversable (UChar :: Type -> Type) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> UChar a -> f (UChar b) Source # sequenceA :: Applicative f => UChar (f a) -> f (UChar a) Source # mapM :: Monad m => (a -> m b) -> UChar a -> m (UChar b) Source # sequence :: Monad m => UChar (m a) -> m (UChar a) Source #
Functor (URec Char :: Type -> Type) | 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

Defined in GHC.Internal.Foreign.Storable

Methods

sizeOf :: Double -> Int Source #

alignment :: Double -> Int Source #

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

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

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

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

peek :: Ptr Double -> IO Double Source #

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

Num Double

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

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

Since: base-2.1

Instance details Defined in GHC.Internal.Float Methods (+) :: Double -> Double -> Double Source # (-) :: Double -> Double -> Double Source # (*) :: Double -> Double -> Double Source # negate :: Double -> Double Source # abs :: Double -> Double Source # signum :: Double -> Double Source # fromInteger :: Integer -> Double Source #
Read Double | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Double Source # readList :: ReadS [Double] Source # readPrec :: ReadPrec Double Source # readListPrec :: ReadPrec [Double] Source #

Fractional Double

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

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

Since: base-2.1

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

Real Double

Beware that `toRational` generates garbage for non-finite arguments:

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

Since: base-2.1

Instance details Defined in GHC.Internal.Float Methods toRational :: Double -> Rational Source #

RealFrac Double

Beware that results for non-finite arguments are garbage:

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

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

Since: base-2.1

Instance details Defined in GHC.Internal.Float Methods properFraction :: Integral b => Double -> (b, Double) Source # truncate :: Integral b => Double -> b Source # round :: Integral b => Double -> b Source # ceiling :: Integral b => Double -> b Source # floor :: Integral b => Double -> b Source #
Show Double | Since: base-2.1
Instance details Defined in GHC.Internal.Float Methods showsPrec :: Int -> Double -> ShowS Source # show :: Double -> String Source # showList :: [Double] -> ShowS Source #

Eq Double

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

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

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

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

Instance details Defined in GHC.Classes Methods (==) :: Double -> Double -> Bool Source # (/=) :: Double -> Double -> Bool Source #

Ord Double

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

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

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

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

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

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

Instance details Defined in GHC.Classes Methods compare :: Double -> Double -> Ordering Source # (<) :: Double -> Double -> Bool Source # (<=) :: Double -> Double -> Bool Source # (>) :: Double -> Double -> Bool Source # (>=) :: Double -> Double -> Bool Source # max :: Double -> Double -> Double Source # min :: Double -> Double -> Double Source #
Generic1 (URec Double :: k -> Type) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

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

Methods

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

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

Foldable (UDouble :: Type -> Type) | Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Data.Foldable

Methods

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

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

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

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

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

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

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

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

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

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

null :: UDouble a -> Bool Source #

length :: UDouble a -> Int Source #

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

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

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

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

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

Traversable (UDouble :: Type -> Type) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> UDouble a -> f (UDouble b) Source # sequenceA :: Applicative f => UDouble (f a) -> f (UDouble a) Source # mapM :: Monad m => (a -> m b) -> UDouble a -> m (UDouble b) Source # sequence :: Monad m => UDouble (m a) -> m (UDouble a) Source #
Functor (URec Double :: Type -> Type) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> URec Double a -> URec Double b Source # (<$) :: a -> URec Double b -> URec Double a Source #
Generic (URec Double p) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

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

Methods

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

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

Show (URec Double p) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> URec Double p -> ShowS Source # show :: URec Double p -> String Source # showList :: [URec Double p] -> ShowS Source #
Eq (URec Double p) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: URec Double p -> URec Double p -> Bool Source # (/=) :: URec Double p -> URec Double p -> Bool Source #
Ord (URec Double p) | Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

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

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

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

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

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

data URec Double (p :: k) | Used for marking occurrences of `Double#` Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

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

- uDouble# :: Double#

}

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

data 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 `String`s, and the `Right` constructor can be used only on `Int`s:

    >>> 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 `Int`s.

    >>> :{
        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

Defined in GHC.Internal.Data.Foldable

Methods

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

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

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

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

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

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

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

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

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

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

null :: Either a a0 -> Bool Source #

length :: Either a a0 -> Int Source #

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

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

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

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

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

Traversable (Either a) | Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a0 -> f b) -> Either a a0 -> f (Either a b) Source # sequenceA :: Applicative f => Either a (f a0) -> f (Either a a0) Source # mapM :: Monad m => (a0 -> m b) -> Either a a0 -> m (Either a b) Source # sequence :: Monad m => Either a (m a0) -> m (Either a a0) Source #
Semigroup (Either a b) | 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

Defined in GHC.Internal.Foreign.Storable

Methods

sizeOf :: Float -> Int Source #

alignment :: Float -> Int Source #

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

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

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

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

peek :: Ptr Float -> IO Float Source #

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

Num Float

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

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

Since: base-2.1

Instance details Defined in GHC.Internal.Float Methods (+) :: Float -> Float -> Float Source # (-) :: Float -> Float -> Float Source # (*) :: Float -> Float -> Float Source # negate :: Float -> Float Source # abs :: Float -> Float Source # signum :: Float -> Float Source # fromInteger :: Integer -> Float Source #
Read Float | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Float Source # readList :: ReadS [Float] Source # readPrec :: ReadPrec Float Source # readListPrec :: ReadPrec [Float] Source #

Fractional Float

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

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

Since: base-2.1

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

Real Float

Beware that `toRational` generates garbage for non-finite arguments:

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

Since: base-2.1

Instance details Defined in GHC.Internal.Float Methods toRational :: Float -> Rational Source #

RealFrac Float

Beware that results for non-finite arguments are garbage:

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

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

Since: base-2.1

Instance details Defined in GHC.Internal.Float Methods properFraction :: Integral b => Float -> (b, Float) Source # truncate :: Integral b => Float -> b Source # round :: Integral b => Float -> b Source # ceiling :: Integral b => Float -> b Source # floor :: Integral b => Float -> b Source #
Show Float | Since: base-2.1
Instance details Defined in GHC.Internal.Float Methods showsPrec :: Int -> Float -> ShowS Source # show :: Float -> String Source # showList :: [Float] -> ShowS Source #

Eq Float

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

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

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

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

Instance details Defined in GHC.Classes Methods (==) :: Float -> Float -> Bool Source # (/=) :: Float -> Float -> Bool Source #
Ord Float | See `instance` `Ord` `Double` for discussion of deviations from IEEE 754 standard.
Instance details Defined in GHC.Classes Methods compare :: Float -> Float -> Ordering Source # (<) :: Float -> Float -> Bool Source # (<=) :: Float -> Float -> Bool Source # (>) :: Float -> Float -> Bool Source # (>=) :: Float -> Float -> Bool Source # max :: Float -> Float -> Float Source # min :: Float -> Float -> Float Source #
Generic1 (URec Float :: k -> Type) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

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

Methods

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

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

Foldable (UFloat :: Type -> Type) | Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Data.Foldable

Methods

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

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

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

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

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

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

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

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

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

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

null :: UFloat a -> Bool Source #

length :: UFloat a -> Int Source #

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

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

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

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

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

Traversable (UFloat :: Type -> Type) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> UFloat a -> f (UFloat b) Source # sequenceA :: Applicative f => UFloat (f a) -> f (UFloat a) Source # mapM :: Monad m => (a -> m b) -> UFloat a -> m (UFloat b) Source # sequence :: Monad m => UFloat (m a) -> m (UFloat a) Source #
Functor (URec Float :: Type -> Type) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> URec Float a -> URec Float b Source # (<$) :: a -> URec Float b -> URec Float a Source #
Generic (URec Float p) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

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

Methods

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

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

Show (URec Float p) |
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> URec Float p -> ShowS Source # show :: URec Float p -> String Source # showList :: [URec Float p] -> ShowS Source #
Eq (URec Float p) |
Instance details Defined in GHC.Internal.Generics Methods (==) :: URec Float p -> URec Float p -> Bool Source # (/=) :: URec Float p -> URec Float p -> Bool Source #
Ord (URec Float p) |

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

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

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

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

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

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

data URec Float (p :: k) | Used for marking occurrences of `Float#` Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

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

- uFloat# :: Float#

}

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

data Integer Source #

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

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

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

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

#### Instances

Instances details

PrintfArg Integer | Since: base-2.1
Instance details Defined in Text.Printf Methods formatArg :: Integer -> FieldFormatter Source # parseFormat :: Integer -> ModifierParser Source #
Bits Integer | Since: base-2.1

Instance details

Defined in GHC.Internal.Bits

Methods

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

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

xor :: Integer -> Integer -> Integer Source #

complement :: Integer -> Integer Source #

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

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

zeroBits :: Integer Source #

bit :: Int -> Integer Source #

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

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

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

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

bitSizeMaybe :: Integer -> Maybe Int Source #

bitSize :: Integer -> Int Source #

isSigned :: Integer -> Bool Source #

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

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

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

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

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

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

popCount :: Integer -> Int Source #

Data Integer | Since: base-4.0.0.0

Instance details

Defined in GHC.Internal.Data.Data

Methods

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

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

toConstr :: Integer -> Constr Source #

dataTypeOf :: Integer -> DataType Source #

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

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

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

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

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

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

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

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

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

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

Enum Integer | Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Methods

succ :: Integer -> Integer Source #

pred :: Integer -> Integer Source #

toEnum :: Int -> Integer Source #

fromEnum :: Integer -> Int Source #

enumFrom :: Integer -> [Integer] Source #

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

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

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

Ix Integer | Since: base-2.1
Instance details Defined in GHC.Internal.Ix Methods range :: (Integer, Integer) -> [Integer] Source # index :: (Integer, Integer) -> Integer -> Int Source # unsafeIndex :: (Integer, Integer) -> Integer -> Int Source # inRange :: (Integer, Integer) -> Integer -> Bool Source # rangeSize :: (Integer, Integer) -> Int Source # unsafeRangeSize :: (Integer, Integer) -> Int Source #
Num Integer | Since: base-2.1
Instance details Defined in GHC.Internal.Num Methods (+) :: Integer -> Integer -> Integer Source # (-) :: Integer -> Integer -> Integer Source # (*) :: Integer -> Integer -> Integer Source # negate :: Integer -> Integer Source # abs :: Integer -> Integer Source # signum :: Integer -> Integer Source # fromInteger :: Integer -> Integer Source #
Read Integer | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Integer Source # readList :: ReadS [Integer] Source # readPrec :: ReadPrec Integer Source # readListPrec :: ReadPrec [Integer] Source #
Integral Integer | Since: base-2.0.1
Instance details Defined in GHC.Internal.Real Methods quot :: Integer -> Integer -> Integer Source # rem :: Integer -> Integer -> Integer Source # div :: Integer -> Integer -> Integer Source # mod :: Integer -> Integer -> Integer Source # quotRem :: Integer -> Integer -> (Integer, Integer) Source # divMod :: Integer -> Integer -> (Integer, Integer) Source # toInteger :: Integer -> Integer Source #
Real Integer | Since: base-2.0.1
Instance details Defined in GHC.Internal.Real Methods toRational :: Integer -> Rational Source #
Show Integer | Since: base-2.1
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Integer -> ShowS Source # show :: Integer -> String Source # showList :: [Integer] -> ShowS Source #
Eq Integer |
Instance details Defined in GHC.Num.Integer Methods (==) :: Integer -> Integer -> Bool Source # (/=) :: Integer -> Integer -> Bool Source #
Ord Integer |
Instance details Defined in GHC.Num.Integer Methods compare :: Integer -> Integer -> Ordering Source # (<) :: Integer -> Integer -> Bool Source # (<=) :: Integer -> Integer -> Bool Source # (>) :: Integer -> Integer -> Bool Source # (>=) :: Integer -> Integer -> Bool Source # max :: Integer -> Integer -> Integer Source # min :: Integer -> Integer -> Integer Source #

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

Defined in GHC.Internal.Data.Foldable

Methods

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

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

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

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

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

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

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

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

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

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

null :: Maybe a -> Bool Source #

length :: Maybe a -> Int Source #

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

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

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

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

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

Traversable Maybe | Since: base-2.1
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Maybe a -> f (Maybe b) Source # sequenceA :: Applicative f => Maybe (f a) -> f (Maybe a) Source # mapM :: Monad m => (a -> m b) -> Maybe a -> m (Maybe b) Source # sequence :: Monad m => Maybe (m a) -> m (Maybe a) Source #
Generic1 Maybe |

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

Defined in GHC.Internal.Foreign.Storable

Methods

sizeOf :: Int -> Int Source #

alignment :: Int -> Int Source #

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

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

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

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

peek :: Ptr Int -> IO Int Source #

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

Ix Int | 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

Defined in GHC.Internal.Data.Foldable

Methods

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

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

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

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

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

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

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

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

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

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

null :: UInt a -> Bool Source #

length :: UInt a -> Int Source #

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

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

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

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

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

Traversable (UInt :: Type -> Type) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> UInt a -> f (UInt b) Source # sequenceA :: Applicative f => UInt (f a) -> f (UInt a) Source # mapM :: Monad m => (a -> m b) -> UInt a -> m (UInt b) Source # sequence :: Monad m => UInt (m a) -> m (UInt a) Source #
Functor (URec Int :: Type -> Type) | 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

Defined in GHC.Internal.Foreign.Storable

Methods

sizeOf :: Word -> Int Source #

alignment :: Word -> Int Source #

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

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

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

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

peek :: Ptr Word -> IO Word Source #

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

Ix Word | 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

Defined in GHC.Internal.Data.Foldable

Methods

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

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

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

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

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

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

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

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

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

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

null :: UWord a -> Bool Source #

length :: UWord a -> Int Source #

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

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

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

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

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

Traversable (UWord :: Type -> Type) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> UWord a -> f (UWord b) Source # sequenceA :: Applicative f => UWord (f a) -> f (UWord a) Source # mapM :: Monad m => (a -> m b) -> UWord a -> m (UWord b) Source # sequence :: Monad m => UWord (m a) -> m (UWord a) Source #
Functor (URec Word :: Type -> Type) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods fmap :: (a -> b) -> URec Word a -> URec Word b Source # (<$) :: a -> URec Word b -> URec Word a Source #
Generic (URec Word p) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

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

Methods

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

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

Show (URec Word p) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods showsPrec :: Int -> URec Word p -> ShowS Source # show :: URec Word p -> String Source # showList :: [URec Word p] -> ShowS Source #
Eq (URec Word p) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics Methods (==) :: URec Word p -> URec Word p -> Bool Source # (/=) :: URec Word p -> URec Word p -> Bool Source #
Ord (URec Word p) | Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

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

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

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

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

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

data URec Word (p :: k) | Used for marking occurrences of `Word#` Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

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

- uWord# :: Word#

}

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

data Word8 Source #

8-bit unsigned integer type

#### Instances

Instances details

PrintfArg Word8 | Since: base-2.1
Instance details Defined in Text.Printf Methods formatArg :: Word8 -> FieldFormatter Source # parseFormat :: Word8 -> ModifierParser Source #
Bits Word8 | Since: base-2.1

Instance details

Defined in GHC.Internal.Word

Methods

(.&.) :: Word8 -> Word8 -> Word8 Source #

(.|.) :: Word8 -> Word8 -> Word8 Source #

xor :: Word8 -> Word8 -> Word8 Source #

complement :: Word8 -> Word8 Source #

shift :: Word8 -> Int -> Word8 Source #

rotate :: Word8 -> Int -> Word8 Source #

zeroBits :: Word8 Source #

bit :: Int -> Word8 Source #

setBit :: Word8 -> Int -> Word8 Source #

clearBit :: Word8 -> Int -> Word8 Source #

complementBit :: Word8 -> Int -> Word8 Source #

testBit :: Word8 -> Int -> Bool Source #

bitSizeMaybe :: Word8 -> Maybe Int Source #

bitSize :: Word8 -> Int Source #

isSigned :: Word8 -> Bool Source #

shiftL :: Word8 -> Int -> Word8 Source #

unsafeShiftL :: Word8 -> Int -> Word8 Source #

shiftR :: Word8 -> Int -> Word8 Source #

unsafeShiftR :: Word8 -> Int -> Word8 Source #

rotateL :: Word8 -> Int -> Word8 Source #

rotateR :: Word8 -> Int -> Word8 Source #

popCount :: Word8 -> Int Source #

FiniteBits Word8 | Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Word Methods finiteBitSize :: Word8 -> Int Source # countLeadingZeros :: Word8 -> Int Source # countTrailingZeros :: Word8 -> Int Source #
Data Word8 | 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) -> Word8 -> c Word8 Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Word8 Source #

toConstr :: Word8 -> Constr Source #

dataTypeOf :: Word8 -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Word8) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Word8) Source #

gmapT :: (forall b. Data b => b -> b) -> Word8 -> Word8 Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Word8 -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Word8 -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Word8 -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Word8 -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Word8 -> m Word8 Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Word8 -> m Word8 Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Word8 -> m Word8 Source #

Bounded Word8 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods minBound :: Word8 Source # maxBound :: Word8 Source #
Enum Word8 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods succ :: Word8 -> Word8 Source # pred :: Word8 -> Word8 Source # toEnum :: Int -> Word8 Source # fromEnum :: Word8 -> Int Source # enumFrom :: Word8 -> [Word8] Source # enumFromThen :: Word8 -> Word8 -> [Word8] Source # enumFromTo :: Word8 -> Word8 -> [Word8] Source # enumFromThenTo :: Word8 -> Word8 -> Word8 -> [Word8] Source #
Storable Word8 | Since: base-2.1

Instance details

Defined in GHC.Internal.Foreign.Storable

Methods

sizeOf :: Word8 -> Int Source #

alignment :: Word8 -> Int Source #

peekElemOff :: Ptr Word8 -> Int -> IO Word8 Source #

pokeElemOff :: Ptr Word8 -> Int -> Word8 -> IO () Source #

peekByteOff :: Ptr b -> Int -> IO Word8 Source #

pokeByteOff :: Ptr b -> Int -> Word8 -> IO () Source #

peek :: Ptr Word8 -> IO Word8 Source #

poke :: Ptr Word8 -> Word8 -> IO () Source #

Ix Word8 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods range :: (Word8, Word8) -> [Word8] Source # index :: (Word8, Word8) -> Word8 -> Int Source # unsafeIndex :: (Word8, Word8) -> Word8 -> Int Source # inRange :: (Word8, Word8) -> Word8 -> Bool Source # rangeSize :: (Word8, Word8) -> Int Source # unsafeRangeSize :: (Word8, Word8) -> Int Source #
Num Word8 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods (+) :: Word8 -> Word8 -> Word8 Source # (-) :: Word8 -> Word8 -> Word8 Source # (*) :: Word8 -> Word8 -> Word8 Source # negate :: Word8 -> Word8 Source # abs :: Word8 -> Word8 Source # signum :: Word8 -> Word8 Source # fromInteger :: Integer -> Word8 Source #
Read Word8 | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Word8 Source # readList :: ReadS [Word8] Source # readPrec :: ReadPrec Word8 Source # readListPrec :: ReadPrec [Word8] Source #
Integral Word8 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods quot :: Word8 -> Word8 -> Word8 Source # rem :: Word8 -> Word8 -> Word8 Source # div :: Word8 -> Word8 -> Word8 Source # mod :: Word8 -> Word8 -> Word8 Source # quotRem :: Word8 -> Word8 -> (Word8, Word8) Source # divMod :: Word8 -> Word8 -> (Word8, Word8) Source # toInteger :: Word8 -> Integer Source #
Real Word8 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods toRational :: Word8 -> Rational Source #
Show Word8 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods showsPrec :: Int -> Word8 -> ShowS Source # show :: Word8 -> String Source # showList :: [Word8] -> ShowS Source #
Eq Word8 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods (==) :: Word8 -> Word8 -> Bool Source # (/=) :: Word8 -> Word8 -> Bool Source #
Ord Word8 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods compare :: Word8 -> Word8 -> Ordering Source # (<) :: Word8 -> Word8 -> Bool Source # (<=) :: Word8 -> Word8 -> Bool Source # (>) :: Word8 -> Word8 -> Bool Source # (>=) :: Word8 -> Word8 -> Bool Source # max :: Word8 -> Word8 -> Word8 Source # min :: Word8 -> Word8 -> Word8 Source #

data Word16 Source #

16-bit unsigned integer type

#### Instances

Instances details

PrintfArg Word16 | Since: base-2.1
Instance details Defined in Text.Printf Methods formatArg :: Word16 -> FieldFormatter Source # parseFormat :: Word16 -> ModifierParser Source #
Bits Word16 | Since: base-2.1

Instance details

Defined in GHC.Internal.Word

Methods

(.&.) :: Word16 -> Word16 -> Word16 Source #

(.|.) :: Word16 -> Word16 -> Word16 Source #

xor :: Word16 -> Word16 -> Word16 Source #

complement :: Word16 -> Word16 Source #

shift :: Word16 -> Int -> Word16 Source #

rotate :: Word16 -> Int -> Word16 Source #

zeroBits :: Word16 Source #

bit :: Int -> Word16 Source #

setBit :: Word16 -> Int -> Word16 Source #

clearBit :: Word16 -> Int -> Word16 Source #

complementBit :: Word16 -> Int -> Word16 Source #

testBit :: Word16 -> Int -> Bool Source #

bitSizeMaybe :: Word16 -> Maybe Int Source #

bitSize :: Word16 -> Int Source #

isSigned :: Word16 -> Bool Source #

shiftL :: Word16 -> Int -> Word16 Source #

unsafeShiftL :: Word16 -> Int -> Word16 Source #

shiftR :: Word16 -> Int -> Word16 Source #

unsafeShiftR :: Word16 -> Int -> Word16 Source #

rotateL :: Word16 -> Int -> Word16 Source #

rotateR :: Word16 -> Int -> Word16 Source #

popCount :: Word16 -> Int Source #

FiniteBits Word16 | Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Word Methods finiteBitSize :: Word16 -> Int Source # countLeadingZeros :: Word16 -> Int Source # countTrailingZeros :: Word16 -> Int Source #
Data Word16 | 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) -> Word16 -> c Word16 Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Word16 Source #

toConstr :: Word16 -> Constr Source #

dataTypeOf :: Word16 -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Word16) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Word16) Source #

gmapT :: (forall b. Data b => b -> b) -> Word16 -> Word16 Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Word16 -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Word16 -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Word16 -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Word16 -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Word16 -> m Word16 Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Word16 -> m Word16 Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Word16 -> m Word16 Source #

Bounded Word16 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods minBound :: Word16 Source # maxBound :: Word16 Source #
Enum Word16 | Since: base-2.1

Instance details

Defined in GHC.Internal.Word

Methods

succ :: Word16 -> Word16 Source #

pred :: Word16 -> Word16 Source #

toEnum :: Int -> Word16 Source #

fromEnum :: Word16 -> Int Source #

enumFrom :: Word16 -> [Word16] Source #

enumFromThen :: Word16 -> Word16 -> [Word16] Source #

enumFromTo :: Word16 -> Word16 -> [Word16] Source #

enumFromThenTo :: Word16 -> Word16 -> Word16 -> [Word16] Source #

Storable Word16 | Since: base-2.1

Instance details

Defined in GHC.Internal.Foreign.Storable

Methods

sizeOf :: Word16 -> Int Source #

alignment :: Word16 -> Int Source #

peekElemOff :: Ptr Word16 -> Int -> IO Word16 Source #

pokeElemOff :: Ptr Word16 -> Int -> Word16 -> IO () Source #

peekByteOff :: Ptr b -> Int -> IO Word16 Source #

pokeByteOff :: Ptr b -> Int -> Word16 -> IO () Source #

peek :: Ptr Word16 -> IO Word16 Source #

poke :: Ptr Word16 -> Word16 -> IO () Source #

Ix Word16 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods range :: (Word16, Word16) -> [Word16] Source # index :: (Word16, Word16) -> Word16 -> Int Source # unsafeIndex :: (Word16, Word16) -> Word16 -> Int Source # inRange :: (Word16, Word16) -> Word16 -> Bool Source # rangeSize :: (Word16, Word16) -> Int Source # unsafeRangeSize :: (Word16, Word16) -> Int Source #
Num Word16 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods (+) :: Word16 -> Word16 -> Word16 Source # (-) :: Word16 -> Word16 -> Word16 Source # (*) :: Word16 -> Word16 -> Word16 Source # negate :: Word16 -> Word16 Source # abs :: Word16 -> Word16 Source # signum :: Word16 -> Word16 Source # fromInteger :: Integer -> Word16 Source #
Read Word16 | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Word16 Source # readList :: ReadS [Word16] Source # readPrec :: ReadPrec Word16 Source # readListPrec :: ReadPrec [Word16] Source #
Integral Word16 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods quot :: Word16 -> Word16 -> Word16 Source # rem :: Word16 -> Word16 -> Word16 Source # div :: Word16 -> Word16 -> Word16 Source # mod :: Word16 -> Word16 -> Word16 Source # quotRem :: Word16 -> Word16 -> (Word16, Word16) Source # divMod :: Word16 -> Word16 -> (Word16, Word16) Source # toInteger :: Word16 -> Integer Source #
Real Word16 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods toRational :: Word16 -> Rational Source #
Show Word16 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods showsPrec :: Int -> Word16 -> ShowS Source # show :: Word16 -> String Source # showList :: [Word16] -> ShowS Source #
Eq Word16 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods (==) :: Word16 -> Word16 -> Bool Source # (/=) :: Word16 -> Word16 -> Bool Source #
Ord Word16 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods compare :: Word16 -> Word16 -> Ordering Source # (<) :: Word16 -> Word16 -> Bool Source # (<=) :: Word16 -> Word16 -> Bool Source # (>) :: Word16 -> Word16 -> Bool Source # (>=) :: Word16 -> Word16 -> Bool Source # max :: Word16 -> Word16 -> Word16 Source # min :: Word16 -> Word16 -> Word16 Source #

data Word32 Source #

32-bit unsigned integer type

#### Instances

Instances details

PrintfArg Word32 | Since: base-2.1
Instance details Defined in Text.Printf Methods formatArg :: Word32 -> FieldFormatter Source # parseFormat :: Word32 -> ModifierParser Source #
Bits Word32 | Since: base-2.1

Instance details

Defined in GHC.Internal.Word

Methods

(.&.) :: Word32 -> Word32 -> Word32 Source #

(.|.) :: Word32 -> Word32 -> Word32 Source #

xor :: Word32 -> Word32 -> Word32 Source #

complement :: Word32 -> Word32 Source #

shift :: Word32 -> Int -> Word32 Source #

rotate :: Word32 -> Int -> Word32 Source #

zeroBits :: Word32 Source #

bit :: Int -> Word32 Source #

setBit :: Word32 -> Int -> Word32 Source #

clearBit :: Word32 -> Int -> Word32 Source #

complementBit :: Word32 -> Int -> Word32 Source #

testBit :: Word32 -> Int -> Bool Source #

bitSizeMaybe :: Word32 -> Maybe Int Source #

bitSize :: Word32 -> Int Source #

isSigned :: Word32 -> Bool Source #

shiftL :: Word32 -> Int -> Word32 Source #

unsafeShiftL :: Word32 -> Int -> Word32 Source #

shiftR :: Word32 -> Int -> Word32 Source #

unsafeShiftR :: Word32 -> Int -> Word32 Source #

rotateL :: Word32 -> Int -> Word32 Source #

rotateR :: Word32 -> Int -> Word32 Source #

popCount :: Word32 -> Int Source #

FiniteBits Word32 | Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Word Methods finiteBitSize :: Word32 -> Int Source # countLeadingZeros :: Word32 -> Int Source # countTrailingZeros :: Word32 -> Int Source #
Data Word32 | 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) -> Word32 -> c Word32 Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Word32 Source #

toConstr :: Word32 -> Constr Source #

dataTypeOf :: Word32 -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Word32) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Word32) Source #

gmapT :: (forall b. Data b => b -> b) -> Word32 -> Word32 Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Word32 -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Word32 -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Word32 -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Word32 -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Word32 -> m Word32 Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Word32 -> m Word32 Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Word32 -> m Word32 Source #

Bounded Word32 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods minBound :: Word32 Source # maxBound :: Word32 Source #
Enum Word32 | Since: base-2.1

Instance details

Defined in GHC.Internal.Word

Methods

succ :: Word32 -> Word32 Source #

pred :: Word32 -> Word32 Source #

toEnum :: Int -> Word32 Source #

fromEnum :: Word32 -> Int Source #

enumFrom :: Word32 -> [Word32] Source #

enumFromThen :: Word32 -> Word32 -> [Word32] Source #

enumFromTo :: Word32 -> Word32 -> [Word32] Source #

enumFromThenTo :: Word32 -> Word32 -> Word32 -> [Word32] Source #

Storable Word32 | Since: base-2.1

Instance details

Defined in GHC.Internal.Foreign.Storable

Methods

sizeOf :: Word32 -> Int Source #

alignment :: Word32 -> Int Source #

peekElemOff :: Ptr Word32 -> Int -> IO Word32 Source #

pokeElemOff :: Ptr Word32 -> Int -> Word32 -> IO () Source #

peekByteOff :: Ptr b -> Int -> IO Word32 Source #

pokeByteOff :: Ptr b -> Int -> Word32 -> IO () Source #

peek :: Ptr Word32 -> IO Word32 Source #

poke :: Ptr Word32 -> Word32 -> IO () Source #

Ix Word32 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods range :: (Word32, Word32) -> [Word32] Source # index :: (Word32, Word32) -> Word32 -> Int Source # unsafeIndex :: (Word32, Word32) -> Word32 -> Int Source # inRange :: (Word32, Word32) -> Word32 -> Bool Source # rangeSize :: (Word32, Word32) -> Int Source # unsafeRangeSize :: (Word32, Word32) -> Int Source #
Num Word32 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods (+) :: Word32 -> Word32 -> Word32 Source # (-) :: Word32 -> Word32 -> Word32 Source # (*) :: Word32 -> Word32 -> Word32 Source # negate :: Word32 -> Word32 Source # abs :: Word32 -> Word32 Source # signum :: Word32 -> Word32 Source # fromInteger :: Integer -> Word32 Source #
Read Word32 | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Word32 Source # readList :: ReadS [Word32] Source # readPrec :: ReadPrec Word32 Source # readListPrec :: ReadPrec [Word32] Source #
Integral Word32 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods quot :: Word32 -> Word32 -> Word32 Source # rem :: Word32 -> Word32 -> Word32 Source # div :: Word32 -> Word32 -> Word32 Source # mod :: Word32 -> Word32 -> Word32 Source # quotRem :: Word32 -> Word32 -> (Word32, Word32) Source # divMod :: Word32 -> Word32 -> (Word32, Word32) Source # toInteger :: Word32 -> Integer Source #
Real Word32 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods toRational :: Word32 -> Rational Source #
Show Word32 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods showsPrec :: Int -> Word32 -> ShowS Source # show :: Word32 -> String Source # showList :: [Word32] -> ShowS Source #
Eq Word32 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods (==) :: Word32 -> Word32 -> Bool Source # (/=) :: Word32 -> Word32 -> Bool Source #
Ord Word32 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods compare :: Word32 -> Word32 -> Ordering Source # (<) :: Word32 -> Word32 -> Bool Source # (<=) :: Word32 -> Word32 -> Bool Source # (>) :: Word32 -> Word32 -> Bool Source # (>=) :: Word32 -> Word32 -> Bool Source # max :: Word32 -> Word32 -> Word32 Source # min :: Word32 -> Word32 -> Word32 Source #

data Word64 Source #

64-bit unsigned integer type

#### Instances

Instances details

PrintfArg Word64 | Since: base-2.1
Instance details Defined in Text.Printf Methods formatArg :: Word64 -> FieldFormatter Source # parseFormat :: Word64 -> ModifierParser Source #
Bits Word64 | Since: base-2.1

Instance details

Defined in GHC.Internal.Word

Methods

(.&.) :: Word64 -> Word64 -> Word64 Source #

(.|.) :: Word64 -> Word64 -> Word64 Source #

xor :: Word64 -> Word64 -> Word64 Source #

complement :: Word64 -> Word64 Source #

shift :: Word64 -> Int -> Word64 Source #

rotate :: Word64 -> Int -> Word64 Source #

zeroBits :: Word64 Source #

bit :: Int -> Word64 Source #

setBit :: Word64 -> Int -> Word64 Source #

clearBit :: Word64 -> Int -> Word64 Source #

complementBit :: Word64 -> Int -> Word64 Source #

testBit :: Word64 -> Int -> Bool Source #

bitSizeMaybe :: Word64 -> Maybe Int Source #

bitSize :: Word64 -> Int Source #

isSigned :: Word64 -> Bool Source #

shiftL :: Word64 -> Int -> Word64 Source #

unsafeShiftL :: Word64 -> Int -> Word64 Source #

shiftR :: Word64 -> Int -> Word64 Source #

unsafeShiftR :: Word64 -> Int -> Word64 Source #

rotateL :: Word64 -> Int -> Word64 Source #

rotateR :: Word64 -> Int -> Word64 Source #

popCount :: Word64 -> Int Source #

FiniteBits Word64 | Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Word Methods finiteBitSize :: Word64 -> Int Source # countLeadingZeros :: Word64 -> Int Source # countTrailingZeros :: Word64 -> Int Source #
Data Word64 | 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) -> Word64 -> c Word64 Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Word64 Source #

toConstr :: Word64 -> Constr Source #

dataTypeOf :: Word64 -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Word64) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Word64) Source #

gmapT :: (forall b. Data b => b -> b) -> Word64 -> Word64 Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Word64 -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Word64 -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Word64 -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Word64 -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Word64 -> m Word64 Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Word64 -> m Word64 Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Word64 -> m Word64 Source #

Bounded Word64 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods minBound :: Word64 Source # maxBound :: Word64 Source #
Enum Word64 | Since: base-2.1

Instance details

Defined in GHC.Internal.Word

Methods

succ :: Word64 -> Word64 Source #

pred :: Word64 -> Word64 Source #

toEnum :: Int -> Word64 Source #

fromEnum :: Word64 -> Int Source #

enumFrom :: Word64 -> [Word64] Source #

enumFromThen :: Word64 -> Word64 -> [Word64] Source #

enumFromTo :: Word64 -> Word64 -> [Word64] Source #

enumFromThenTo :: Word64 -> Word64 -> Word64 -> [Word64] Source #

Storable Word64 | Since: base-2.1

Instance details

Defined in GHC.Internal.Foreign.Storable

Methods

sizeOf :: Word64 -> Int Source #

alignment :: Word64 -> Int Source #

peekElemOff :: Ptr Word64 -> Int -> IO Word64 Source #

pokeElemOff :: Ptr Word64 -> Int -> Word64 -> IO () Source #

peekByteOff :: Ptr b -> Int -> IO Word64 Source #

pokeByteOff :: Ptr b -> Int -> Word64 -> IO () Source #

peek :: Ptr Word64 -> IO Word64 Source #

poke :: Ptr Word64 -> Word64 -> IO () Source #

Ix Word64 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods range :: (Word64, Word64) -> [Word64] Source # index :: (Word64, Word64) -> Word64 -> Int Source # unsafeIndex :: (Word64, Word64) -> Word64 -> Int Source # inRange :: (Word64, Word64) -> Word64 -> Bool Source # rangeSize :: (Word64, Word64) -> Int Source # unsafeRangeSize :: (Word64, Word64) -> Int Source #
Num Word64 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods (+) :: Word64 -> Word64 -> Word64 Source # (-) :: Word64 -> Word64 -> Word64 Source # (*) :: Word64 -> Word64 -> Word64 Source # negate :: Word64 -> Word64 Source # abs :: Word64 -> Word64 Source # signum :: Word64 -> Word64 Source # fromInteger :: Integer -> Word64 Source #
Read Word64 | Since: base-2.1
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Word64 Source # readList :: ReadS [Word64] Source # readPrec :: ReadPrec Word64 Source # readListPrec :: ReadPrec [Word64] Source #
Integral Word64 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods quot :: Word64 -> Word64 -> Word64 Source # rem :: Word64 -> Word64 -> Word64 Source # div :: Word64 -> Word64 -> Word64 Source # mod :: Word64 -> Word64 -> Word64 Source # quotRem :: Word64 -> Word64 -> (Word64, Word64) Source # divMod :: Word64 -> Word64 -> (Word64, Word64) Source # toInteger :: Word64 -> Integer Source #
Real Word64 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods toRational :: Word64 -> Rational Source #
Show Word64 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods showsPrec :: Int -> Word64 -> ShowS Source # show :: Word64 -> String Source # showList :: [Word64] -> ShowS Source #
Eq Word64 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods (==) :: Word64 -> Word64 -> Bool Source # (/=) :: Word64 -> Word64 -> Bool Source #
Ord Word64 | Since: base-2.1
Instance details Defined in GHC.Internal.Word Methods compare :: Word64 -> Word64 -> Ordering Source # (<) :: Word64 -> Word64 -> Bool Source # (<=) :: Word64 -> Word64 -> Bool Source # (>) :: Word64 -> Word64 -> Bool Source # (>=) :: Word64 -> Word64 -> Bool Source # max :: Word64 -> Word64 -> Word64 Source # min :: Word64 -> Word64 -> Word64 Source #

# From Data.Complex

data Complex a Source #

A data type representing complex numbers.

You can read about complex numbers on wikipedia.

In haskell, complex numbers are represented as `a :+ b` which can be thought of as representing \(a + bi\). For a complex number `z`, ``abs` z` is a number with the `magnitude` of `z`, but oriented in the positive real direction, whereas ``signum` z` has the `phase` of `z`, but unit `magnitude`. Apart from the loss of precision due to IEEE754 floating point numbers, it holds that `z == `abs` z * `signum` z`.

Note that `Complex`'s instances inherit the deficiencies from the type parameter's. For example, `Complex Float`'s `Ord` instance has similar problems to `Float`'s.

As can be seen in the examples, the `Foldable` and `Traversable` instances traverse the real part first.

#### Examples

Expand

    >>> (5.0 :+ 2.5) + 6.5
    11.5 :+ 2.5

    >>> abs (1.0 :+ 1.0) - sqrt 2.0
    0.0 :+ 0.0

    >>> abs (signum (4.0 :+ 3.0))
    1.0 :+ 0.0

    >>> foldr (:) [] (1 :+ 2)
    [1,2]

    >>> mapM print (1 :+ 2)
    1
    2

Constructors

!a :+ !a infix 6 | forms a complex number from its real and imaginary rectangular components.

#### Instances

Instances details

MonadZip Complex | Since: base-4.15.0.0
Instance details Defined in Data.Complex Methods mzip :: Complex a -> Complex b -> Complex (a, b) Source # mzipWith :: (a -> b -> c) -> Complex a -> Complex b -> Complex c Source # munzip :: Complex (a, b) -> (Complex a, Complex b) Source #
Foldable1 Complex | Since: base-4.18.0.0

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => Complex m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> Complex a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> Complex a -> m Source #

toNonEmpty :: Complex a -> NonEmpty a Source #

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

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

head :: Complex a -> a Source #

last :: Complex a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> Complex a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> Complex a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> Complex a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> Complex a -> b Source #

Eq1 Complex

    >>> eq1 (1 :+ 2) (1 :+ 2)
    True

    >>> eq1 (1 :+ 2) (1 :+ 3)
    False

Since: base-4.16.0.0

Instance details Defined in Data.Functor.Classes Methods liftEq :: (a -> b -> Bool) -> Complex a -> Complex b -> Bool Source #

Read1 Complex

    >>> readPrec_to_S readPrec1 0 "(2 % 3) :+ (3 % 4)" :: [(Complex Rational, String)]
    [(2 % 3 :+ 3 % 4,"")]

Since: base-4.16.0.0

Instance details Defined in Data.Functor.Classes Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Complex a) Source # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Complex a] Source # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Complex a) Source # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Complex a] Source #

Show1 Complex

    >>> showsPrec1 0 (2 :+ 3) ""
    "2 :+ 3"

Since: base-4.16.0.0

Instance details Defined in Data.Functor.Classes Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Complex a -> ShowS Source # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Complex a] -> ShowS Source #
Applicative Complex | Since: base-4.9.0.0
Instance details Defined in Data.Complex Methods pure :: a -> Complex a Source # (<*>) :: Complex (a -> b) -> Complex a -> Complex b Source # liftA2 :: (a -> b -> c) -> Complex a -> Complex b -> Complex c Source # (*>) :: Complex a -> Complex b -> Complex b Source # (<*) :: Complex a -> Complex b -> Complex a Source #
Functor Complex | Since: base-4.9.0.0
Instance details Defined in Data.Complex Methods fmap :: (a -> b) -> Complex a -> Complex b Source # (<$) :: a -> Complex b -> Complex a Source #
Monad Complex | Since: base-4.9.0.0
Instance details Defined in Data.Complex Methods (>>=) :: Complex a -> (a -> Complex b) -> Complex b Source # (>>) :: Complex a -> Complex b -> Complex b Source # return :: a -> Complex a Source #
MonadFix Complex | Since: base-4.15.0.0
Instance details Defined in Data.Complex Methods mfix :: (a -> Complex a) -> Complex a Source #
Foldable Complex | Since: base-4.9.0.0

Instance details

Defined in Data.Complex

Methods

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

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

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

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

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

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

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

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

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

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

null :: Complex a -> Bool Source #

length :: Complex a -> Int Source #

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

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

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

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

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

Traversable Complex | Since: base-4.9.0.0
Instance details Defined in Data.Complex Methods traverse :: Applicative f => (a -> f b) -> Complex a -> f (Complex b) Source # sequenceA :: Applicative f => Complex (f a) -> f (Complex a) Source # mapM :: Monad m => (a -> m b) -> Complex a -> m (Complex b) Source # sequence :: Monad m => Complex (m a) -> m (Complex a) Source #
Generic1 Complex |

Instance details

Defined in Data.Complex

Associated Types

type Rep1 Complex | Since: base-4.9.0.0
Instance details Defined in Data.Complex type Rep1 Complex = D1 ('MetaData "Complex" "Data.Complex" "base" 'False) (C1 ('MetaCons ":+" ('InfixI 'NotAssociative 6) 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1 :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1))

Methods

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

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

Data a => Data (Complex a) | Since: base-2.1

Instance details

Defined in Data.Complex

Methods

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

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

toConstr :: Complex a -> Constr Source #

dataTypeOf :: Complex a -> DataType Source #

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

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

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

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

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

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

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

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

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

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

RealFloat a => Floating (Complex a) | Since: base-2.1

Instance details

Defined in Data.Complex

Methods

pi :: Complex a Source #

exp :: Complex a -> Complex a Source #

log :: Complex a -> Complex a Source #

sqrt :: Complex a -> Complex a Source #

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

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

sin :: Complex a -> Complex a Source #

cos :: Complex a -> Complex a Source #

tan :: Complex a -> Complex a Source #

asin :: Complex a -> Complex a Source #

acos :: Complex a -> Complex a Source #

atan :: Complex a -> Complex a Source #

sinh :: Complex a -> Complex a Source #

cosh :: Complex a -> Complex a Source #

tanh :: Complex a -> Complex a Source #

asinh :: Complex a -> Complex a Source #

acosh :: Complex a -> Complex a Source #

atanh :: Complex a -> Complex a Source #

log1p :: Complex a -> Complex a Source #

expm1 :: Complex a -> Complex a Source #

log1pexp :: Complex a -> Complex a Source #

log1mexp :: Complex a -> Complex a Source #

Storable a => Storable (Complex a) | Since: base-4.8.0.0

Instance details

Defined in Data.Complex

Methods

sizeOf :: Complex a -> Int Source #

alignment :: Complex a -> Int Source #

peekElemOff :: Ptr (Complex a) -> Int -> IO (Complex a) Source #

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

peekByteOff :: Ptr b -> Int -> IO (Complex a) Source #

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

peek :: Ptr (Complex a) -> IO (Complex a) Source #

poke :: Ptr (Complex a) -> Complex a -> IO () Source #

Generic (Complex a) |

Instance details

Defined in Data.Complex

Associated Types

type Rep (Complex a) | Since: base-4.9.0.0
Instance details Defined in Data.Complex type Rep (Complex a) = D1 ('MetaData "Complex" "Data.Complex" "base" 'False) (C1 ('MetaCons ":+" ('InfixI 'NotAssociative 6) 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a)))

Methods

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

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

RealFloat a => Num (Complex a) | Since: base-2.1
Instance details Defined in Data.Complex Methods (+) :: Complex a -> Complex a -> Complex a Source # (-) :: Complex a -> Complex a -> Complex a Source # (*) :: Complex a -> Complex a -> Complex a Source # negate :: Complex a -> Complex a Source # abs :: Complex a -> Complex a Source # signum :: Complex a -> Complex a Source # fromInteger :: Integer -> Complex a Source #
Read a => Read (Complex a) | Since: base-2.1
Instance details Defined in Data.Complex Methods readsPrec :: Int -> ReadS (Complex a) Source # readList :: ReadS [Complex a] Source # readPrec :: ReadPrec (Complex a) Source # readListPrec :: ReadPrec [Complex a] Source #
RealFloat a => Fractional (Complex a) | Since: base-2.1
Instance details Defined in Data.Complex Methods (/) :: Complex a -> Complex a -> Complex a Source # recip :: Complex a -> Complex a Source # fromRational :: Rational -> Complex a Source #
Show a => Show (Complex a) | Since: base-2.1
Instance details Defined in Data.Complex Methods showsPrec :: Int -> Complex a -> ShowS Source # show :: Complex a -> String Source # showList :: [Complex a] -> ShowS Source #
Eq a => Eq (Complex a) | Since: base-2.1
Instance details Defined in Data.Complex Methods (==) :: Complex a -> Complex a -> Bool Source # (/=) :: Complex a -> Complex a -> Bool Source #
type Rep1 Complex | Since: base-4.9.0.0
Instance details Defined in Data.Complex type Rep1 Complex = D1 ('MetaData "Complex" "Data.Complex" "base" 'False) (C1 ('MetaCons ":+" ('InfixI 'NotAssociative 6) 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1 :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1))
type Rep (Complex a) | Since: base-4.9.0.0
Instance details Defined in Data.Complex type Rep (Complex a) = D1 ('MetaData "Complex" "Data.Complex" "base" 'False) (C1 ('MetaCons ":+" ('InfixI 'NotAssociative 6) 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a)))

# From Data.Ratio

type Rational = Ratio Integer Source #

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

# From Numeric.Natural

data Natural Source #

Natural number

Invariant: numbers <= 0xffffffffffffffff use the `NS` constructor

#### Instances

Instances details

PrintfArg Natural | Since: base-4.8.0.0
Instance details Defined in Text.Printf Methods formatArg :: Natural -> FieldFormatter Source # parseFormat :: Natural -> ModifierParser Source #
Bits Natural | Since: base-4.8.0

Instance details

Defined in GHC.Internal.Bits

Methods

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

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

xor :: Natural -> Natural -> Natural Source #

complement :: Natural -> Natural Source #

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

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

zeroBits :: Natural Source #

bit :: Int -> Natural Source #

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

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

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

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

bitSizeMaybe :: Natural -> Maybe Int Source #

bitSize :: Natural -> Int Source #

isSigned :: Natural -> Bool Source #

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

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

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

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

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

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

popCount :: Natural -> Int Source #

Data Natural | Since: base-4.8.0.0

Instance details

Defined in GHC.Internal.Data.Data

Methods

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

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

toConstr :: Natural -> Constr Source #

dataTypeOf :: Natural -> DataType Source #

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

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

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

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

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

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

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

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

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

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

Enum Natural | Since: base-4.8.0.0

Instance details

Defined in GHC.Internal.Enum

Methods

succ :: Natural -> Natural Source #

pred :: Natural -> Natural Source #

toEnum :: Int -> Natural Source #

fromEnum :: Natural -> Int Source #

enumFrom :: Natural -> [Natural] Source #

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

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

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

Ix Natural | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Ix Methods range :: (Natural, Natural) -> [Natural] Source # index :: (Natural, Natural) -> Natural -> Int Source # unsafeIndex :: (Natural, Natural) -> Natural -> Int Source # inRange :: (Natural, Natural) -> Natural -> Bool Source # rangeSize :: (Natural, Natural) -> Int Source # unsafeRangeSize :: (Natural, Natural) -> Int Source #
Num Natural | Note that `Natural`'s `Num` instance isn't a ring: no element but 0 has an additive inverse. It is a semiring though. Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Num Methods (+) :: Natural -> Natural -> Natural Source # (-) :: Natural -> Natural -> Natural Source # (*) :: Natural -> Natural -> Natural Source # negate :: Natural -> Natural Source # abs :: Natural -> Natural Source # signum :: Natural -> Natural Source # fromInteger :: Integer -> Natural Source #
Read Natural | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS Natural Source # readList :: ReadS [Natural] Source # readPrec :: ReadPrec Natural Source # readListPrec :: ReadPrec [Natural] Source #
Integral Natural | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Real Methods quot :: Natural -> Natural -> Natural Source # rem :: Natural -> Natural -> Natural Source # div :: Natural -> Natural -> Natural Source # mod :: Natural -> Natural -> Natural Source # quotRem :: Natural -> Natural -> (Natural, Natural) Source # divMod :: Natural -> Natural -> (Natural, Natural) Source # toInteger :: Natural -> Integer Source #
Real Natural | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Real Methods toRational :: Natural -> Rational Source #
Show Natural | Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> Natural -> ShowS Source # show :: Natural -> String Source # showList :: [Natural] -> ShowS Source #
Eq Natural |
Instance details Defined in GHC.Num.Natural Methods (==) :: Natural -> Natural -> Bool Source # (/=) :: Natural -> Natural -> Bool Source #
Ord Natural |
Instance details Defined in GHC.Num.Natural Methods compare :: Natural -> Natural -> Ordering Source # (<) :: Natural -> Natural -> Bool Source # (<=) :: Natural -> Natural -> Bool Source # (>) :: Natural -> Natural -> Bool Source # (>=) :: Natural -> Natural -> Bool Source # max :: Natural -> Natural -> Natural Source # min :: Natural -> Natural -> Natural Source #
KnownNat n => HasResolution (n :: Nat) | For example, `Fixed 1000` will give you a `Fixed` with a resolution of 1000.
Instance details Defined in Data.Fixed Methods resolution :: p n -> Integer Source #

# From Data.List.NonEmpty

data NonEmpty a Source #

Non-empty (and non-strict) list type.

Since: base-4.9.0.0

Constructors

a :| [a] infixr 5 |

#### Instances

Instances details

MonadZip NonEmpty | Since: base-4.9.0.0
Instance details Defined in Control.Monad.Zip Methods mzip :: NonEmpty a -> NonEmpty b -> NonEmpty (a, b) Source # mzipWith :: (a -> b -> c) -> NonEmpty a -> NonEmpty b -> NonEmpty c Source # munzip :: NonEmpty (a, b) -> (NonEmpty a, NonEmpty b) Source #
Foldable1 NonEmpty | Since: base-4.18.0.0

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => NonEmpty m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> NonEmpty a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> NonEmpty a -> m Source #

toNonEmpty :: NonEmpty a -> NonEmpty a Source #

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

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

head :: NonEmpty a -> a Source #

last :: NonEmpty a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> NonEmpty a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> NonEmpty a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> NonEmpty a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> NonEmpty a -> b Source #

Eq1 NonEmpty | Since: base-4.10.0.0
Instance details Defined in Data.Functor.Classes Methods liftEq :: (a -> b -> Bool) -> NonEmpty a -> NonEmpty b -> Bool Source #
Ord1 NonEmpty | Since: base-4.10.0.0
Instance details Defined in Data.Functor.Classes Methods liftCompare :: (a -> b -> Ordering) -> NonEmpty a -> NonEmpty b -> Ordering Source #
Read1 NonEmpty | Since: base-4.10.0.0
Instance details Defined in Data.Functor.Classes Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (NonEmpty a) Source # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [NonEmpty a] Source # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (NonEmpty a) Source # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [NonEmpty a] Source #
Show1 NonEmpty | Since: base-4.10.0.0
Instance details Defined in Data.Functor.Classes Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> NonEmpty a -> ShowS Source # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [NonEmpty a] -> ShowS Source #
Applicative NonEmpty | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods pure :: a -> NonEmpty a Source # (<*>) :: NonEmpty (a -> b) -> NonEmpty a -> NonEmpty b Source # liftA2 :: (a -> b -> c) -> NonEmpty a -> NonEmpty b -> NonEmpty c Source # (*>) :: NonEmpty a -> NonEmpty b -> NonEmpty b Source # (<*) :: NonEmpty a -> NonEmpty b -> NonEmpty a Source #
Functor NonEmpty | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods fmap :: (a -> b) -> NonEmpty a -> NonEmpty b Source # (<$) :: a -> NonEmpty b -> NonEmpty a Source #
Monad NonEmpty | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods (>>=) :: NonEmpty a -> (a -> NonEmpty b) -> NonEmpty b Source # (>>) :: NonEmpty a -> NonEmpty b -> NonEmpty b Source # return :: a -> NonEmpty a Source #
MonadFix NonEmpty | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Control.Monad.Fix Methods mfix :: (a -> NonEmpty a) -> NonEmpty a Source #
Foldable NonEmpty | Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Data.Foldable

Methods

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

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

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

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

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

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

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

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

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

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

null :: NonEmpty a -> Bool Source #

length :: NonEmpty a -> Int Source #

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

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

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

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

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

Traversable NonEmpty | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> NonEmpty a -> f (NonEmpty b) Source # sequenceA :: Applicative f => NonEmpty (f a) -> f (NonEmpty a) Source # mapM :: Monad m => (a -> m b) -> NonEmpty a -> m (NonEmpty b) Source # sequence :: Monad m => NonEmpty (m a) -> m (NonEmpty a) Source #
Generic1 NonEmpty |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 NonEmpty | Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 NonEmpty = D1 ('MetaData "NonEmpty" "GHC.Internal.Base" "ghc-internal" 'False) (C1 ('MetaCons ":|" ('InfixI 'RightAssociative 5) 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1 :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 [])))

Methods

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

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

Semigroup (NonEmpty a) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods (<>) :: NonEmpty a -> NonEmpty a -> NonEmpty a Source # sconcat :: NonEmpty (NonEmpty a) -> NonEmpty a Source # stimes :: Integral b => b -> NonEmpty a -> NonEmpty a Source #
Data a => Data (NonEmpty a) | Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Data.Data

Methods

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

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

toConstr :: NonEmpty a -> Constr Source #

dataTypeOf :: NonEmpty a -> DataType Source #

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

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

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

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

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

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

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

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

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

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

Generic (NonEmpty a) |

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (NonEmpty a) | Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep (NonEmpty a) = D1 ('MetaData "NonEmpty" "GHC.Internal.Base" "ghc-internal" 'False) (C1 ('MetaCons ":|" ('InfixI 'RightAssociative 5) 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 [a])))

Methods

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

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

IsList (NonEmpty a) | Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.IsList

Associated Types

type Item (NonEmpty a) |
Instance details Defined in GHC.Internal.IsList type Item (NonEmpty a) = a

Methods

fromList :: [Item (NonEmpty a)] -> NonEmpty a Source #

fromListN :: Int -> [Item (NonEmpty a)] -> NonEmpty a Source #

toList :: NonEmpty a -> [Item (NonEmpty a)] Source #

Read a => Read (NonEmpty a) | Since: base-4.11.0.0
Instance details Defined in GHC.Internal.Read Methods readsPrec :: Int -> ReadS (NonEmpty a) Source # readList :: ReadS [NonEmpty a] Source # readPrec :: ReadPrec (NonEmpty a) Source # readListPrec :: ReadPrec [NonEmpty a] Source #
Show a => Show (NonEmpty a) | Since: base-4.11.0.0
Instance details Defined in GHC.Internal.Show Methods showsPrec :: Int -> NonEmpty a -> ShowS Source # show :: NonEmpty a -> String Source # showList :: [NonEmpty a] -> ShowS Source #
Eq a => Eq (NonEmpty a) | Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods (==) :: NonEmpty a -> NonEmpty a -> Bool Source # (/=) :: NonEmpty a -> NonEmpty a -> Bool Source #
Ord a => Ord (NonEmpty a) | Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Base

Methods

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

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

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

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

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

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

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

type Rep1 NonEmpty | Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 NonEmpty = D1 ('MetaData "NonEmpty" "GHC.Internal.Base" "ghc-internal" 'False) (C1 ('MetaCons ":|" ('InfixI 'RightAssociative 5) 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1 :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 [])))

type Rep (NonEmpty a) | Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep (NonEmpty a) = D1 ('MetaData "NonEmpty" "GHC.Internal.Base" "ghc-internal" 'False) (C1 ('MetaCons ":|" ('InfixI 'RightAssociative 5) 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 [a])))

type Item (NonEmpty a) |
Instance details Defined in GHC.Internal.IsList type Item (NonEmpty a) = a