W3cubDocs

/Haskell 9

GHC.Integer

Safe Haskell None
Language Haskell2010

Description

Compatibility module for pre-ghc-bignum code.

data Integer

Instances
Instances details
PrintfArg Integer Source

Since: base-2.1

Instance details

Defined in Text.Printf

Bits Integer Source

Since: base-2.1

Instance details

Defined in GHC.Internal.Bits

Data Integer Source

Since: base-4.0.0.0

Instance details

Defined in GHC.Internal.Data.Data

Methods

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

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

toConstr :: Integer -> Constr Source

dataTypeOf :: Integer -> DataType Source

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

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

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

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

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

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

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

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

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

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

Enum Integer Source

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Ix Integer Source

Since: base-2.1

Instance details

Defined in GHC.Internal.Ix

Num Integer Source

Since: base-2.1

Instance details

Defined in GHC.Internal.Num

Read Integer Source

Since: base-2.1

Instance details

Defined in GHC.Internal.Read

Integral Integer Source

Since: base-2.0.1

Instance details

Defined in GHC.Internal.Real

Real Integer Source

Since: base-2.0.1

Instance details

Defined in GHC.Internal.Real

Show Integer Source

Since: base-2.1

Instance details

Defined in GHC.Internal.Show

Eq Integer
Instance details

Defined in GHC.Num.Integer

Ord Integer
Instance details

Defined in GHC.Num.Integer

Lift Integer Source
Instance details

Defined in GHC.Internal.TH.Lift

Methods

lift :: Quote m => Integer -> m Exp Source

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

Construct Integers

smallInteger :: Int# -> Integer Source

wordToInteger :: Word# -> Integer Source

Conversion to other integral types

integerToWord :: Integer -> Word# Source

integerToInt :: Integer -> Int# Source

Helpers for RealFloat type-class operations

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

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

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

Arithmetic operations

plusInteger :: Integer -> Integer -> Integer Source

Used to implement (+) for the Num typeclass. This gives the sum of two integers.

Example
Expand
>>> plusInteger 3 2
5
>>> (+) 3 2
5

minusInteger :: Integer -> Integer -> Integer Source

Used to implement (-) for the Num typeclass. This gives the difference of two integers.

Example
Expand
>>> minusInteger 3 2
1
>>> (-) 3 2
1

timesInteger :: Integer -> Integer -> Integer Source

Used to implement (*) for the Num typeclass. This gives the product of two integers.

Example
Expand
>>> timesInteger 3 2
6
>>> (*) 3 2
6

negateInteger :: Integer -> Integer Source

Used to implement negate for the Num typeclass. This changes the sign of whatever integer is passed into it.

Example
Expand
>>> negateInteger (-6)
6
>>> negate (-6)
6

absInteger :: Integer -> Integer Source

Used to implement abs for the Num typeclass. This gives the absolute value of whatever integer is passed into it.

Example
Expand
>>> absInteger (-6)
6
>>> abs (-6)
6

signumInteger :: Integer -> Integer Source

Used to implement signum for the Num typeclass. This gives 1 for a positive integer, and -1 for a negative integer.

Example
Expand
>>> signumInteger 5
1
>>> signum 5
1

divModInteger :: Integer -> Integer -> (# Integer, Integer #) Source

Used to implement divMod for the Integral typeclass. This gives a tuple equivalent to

(div x y, mod x y)
Example
Expand
>>> divModInteger 10 2
(5,0)
>>> divMod 10 2
(5,0)

divInteger :: Integer -> Integer -> Integer Source

Used to implement div for the Integral typeclass. This performs integer division on its two parameters, truncated towards negative infinity.

Example
Expand
>>> 10 `divInteger` 2
5
>>> 10 `div` 2

modInteger :: Integer -> Integer -> Integer Source

Used to implement mod for the Integral typeclass. This performs the modulo operation, satisfying

((x `div` y) * y) + (x `mod` y) == x
Example
Expand
>>> 7 `modInteger` 3
1
>>> 7 `mod` 3
1

quotRemInteger :: Integer -> Integer -> (# Integer, Integer #) Source

Used to implement quotRem for the Integral typeclass. This gives a tuple equivalent to

(quot x y, mod x y)
Example
Expand
>>> quotRemInteger 10 2
(5,0)
>>> quotRem 10 2
(5,0)

quotInteger :: Integer -> Integer -> Integer Source

Used to implement quot for the Integral typeclass. This performs integer division on its two parameters, truncated towards zero.

Example
Expand
>>> quotInteger 10 2
5
>>> quot 10 2
5

remInteger :: Integer -> Integer -> Integer Source

Used to implement rem for the Integral typeclass. This gives the remainder after integer division of its two parameters, satisfying

((x `quot` y) * y) + (x `rem` y) == x
Example
Expand
>>> remInteger 3 2
1
>>> rem 3 2
1

Comparison predicates

eqInteger :: Integer -> Integer -> Bool Source

Used to implement (==) for the Eq typeclass. Outputs True if two integers are equal to each other.

Example
Expand
>>> 6 `eqInteger` 6
True
>>> 6 == 6
True

neqInteger :: Integer -> Integer -> Bool Source

Used to implement (/=) for the Eq typeclass. Outputs True if two integers are not equal to each other.

Example
Expand
>>> 6 `neqInteger` 7
True
>>> 6 /= 7
True

leInteger :: Integer -> Integer -> Bool Source

Used to implement (<=) for the Ord typeclass. Outputs True if the first argument is less than or equal to the second.

Example
Expand
>>> 3 `leInteger` 5
True
>>> 3 <= 5
True

gtInteger :: Integer -> Integer -> Bool Source

Used to implement (>) for the Ord typeclass. Outputs True if the first argument is greater than the second.

Example
Expand
>>> 5 `gtInteger` 3
True
>>> 5 > 3
True

ltInteger :: Integer -> Integer -> Bool Source

Used to implement (<) for the Ord typeclass. Outputs True if the first argument is less than the second.

Example
Expand
>>> 3 `ltInteger` 5
True
>>> 3 < 5
True

geInteger :: Integer -> Integer -> Bool Source

Used to implement (>=) for the Ord typeclass. Outputs True if the first argument is greater than or equal to the second.

Example
Expand
>>> 5 `geInteger` 3
True
>>> 5 >= 3
True

compareInteger :: Integer -> Integer -> Ordering Source

Used to implement compare for the Integral typeclass. This takes two integers, and outputs whether the first is less than, equal to, or greater than the second.

Example
Expand
>>> compareInteger 2 10
LT
>>> compare 2 10
LT

Int#-boolean valued versions of comparison predicates

These operations return 0# and 1# instead of False and True respectively. See PrimBool wiki-page for more details

eqInteger# :: Integer -> Integer -> Int# Source

neqInteger# :: Integer -> Integer -> Int# Source

leInteger# :: Integer -> Integer -> Int# Source

gtInteger# :: Integer -> Integer -> Int# Source

ltInteger# :: Integer -> Integer -> Int# Source

geInteger# :: Integer -> Integer -> Int# Source

Bit-operations

andInteger :: Integer -> Integer -> Integer Source

orInteger :: Integer -> Integer -> Integer Source

xorInteger :: Integer -> Integer -> Integer Source

complementInteger :: Integer -> Integer Source

shiftLInteger :: Integer -> Int# -> Integer Source

shiftRInteger :: Integer -> Int# -> Integer Source

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

popCountInteger :: Integer -> Int# Source

bitInteger :: Int# -> Integer Source

Hashing

hashInteger :: Integer -> Int# Source

© The University of Glasgow and others
Licensed under a BSD-style license (see top of the page).
https://downloads.haskell.org/~ghc/9.12.1/docs/libraries/base-4.21.0.0-8e62/GHC-Integer.html