base-4.20.0.1: Core data structures and operations
Safe HaskellNone
LanguageHaskell2010

GHC.Integer

Description

Compatibility module for pre-ghc-bignum code.

Synopsis

Documentation

data Integer #

Instances

Instances details
PrintfArg Integer Source #

Since: base-2.1

Instance details

Defined in Text.Printf

Bits Integer

Since: base-2.1

Instance details

Defined in GHC.Internal.Bits

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

Ix Integer

Since: base-2.1

Instance details

Defined in GHC.Internal.Ix

Num Integer

Since: base-2.1

Instance details

Defined in GHC.Internal.Num

Read Integer

Since: base-2.1

Instance details

Defined in GHC.Internal.Read

Integral Integer

Since: base-2.0.1

Instance details

Defined in GHC.Internal.Real

Real Integer

Since: base-2.0.1

Instance details

Defined in GHC.Internal.Real

Show Integer

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

Construct Integers

Conversion to other integral types

Helpers for RealFloat type-class operations

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

Bit-operations

Hashing