Safe Haskell	None
Language	Haskell2010

Basement.Compat.Natural

Documentation

data Natural #

Instances

Instances details

PrintfArg Natural #

Instance details

Defined in Text.Printf

Methods

formatArg :: Natural -> FieldFormatter

parseFormat :: Natural -> ModifierParser

Integral Natural Source #

Instance details

Defined in Basement.Compat.NumLiteral

Methods

fromInteger :: Integer -> Natural Source #

NormalForm Natural Source #

Instance details

Defined in Basement.NormalForm

Methods

toNormalForm :: Natural -> () Source #

Additive Natural Source #

Instance details

Defined in Basement.Numerical.Additive

Methods

azero :: Natural Source #

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

scale :: IsNatural n => n -> Natural -> Natural Source #

IDivisible Natural Source #

Instance details

Defined in Basement.Numerical.Multiplicative

Methods

div :: Natural -> Natural -> Natural Source #

mod :: Natural -> Natural -> Natural Source #

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

Multiplicative Natural Source #

Instance details

Defined in Basement.Numerical.Multiplicative

Methods

midentity :: Natural Source #

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

(^) :: (IsNatural n, Enum n, IDivisible n) => Natural -> n -> Natural Source #

IsIntegral Natural Source #

Instance details

Defined in Basement.Numerical.Number

Methods

toInteger :: Natural -> Integer Source #

IsNatural Natural Source #

Instance details

Defined in Basement.Numerical.Number

Methods

toNatural :: Natural -> Natural Source #

Subtractive Natural Source #

Instance details

Defined in Basement.Numerical.Subtractive

Associated Types

type Difference Natural
Instance details Defined in Basement.Numerical.Subtractive type Difference Natural = Maybe Natural

Methods

(-) :: Natural -> Natural -> Difference Natural Source #

Bits Natural #

Instance details

Defined in GHC.Internal.Bits

Methods

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

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

xor :: Natural -> Natural -> Natural

complement :: Natural -> Natural

shift :: Natural -> Int -> Natural

rotate :: Natural -> Int -> Natural

zeroBits :: Natural

bit :: Int -> Natural

setBit :: Natural -> Int -> Natural

clearBit :: Natural -> Int -> Natural

complementBit :: Natural -> Int -> Natural

testBit :: Natural -> Int -> Bool

bitSizeMaybe :: Natural -> Maybe Int

bitSize :: Natural -> Int

isSigned :: Natural -> Bool

shiftL :: Natural -> Int -> Natural

unsafeShiftL :: Natural -> Int -> Natural

shiftR :: Natural -> Int -> Natural

unsafeShiftR :: Natural -> Int -> Natural

rotateL :: Natural -> Int -> Natural

rotateR :: Natural -> Int -> Natural

popCount :: Natural -> Int

Data Natural #

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 #

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

toConstr :: Natural -> Constr #

dataTypeOf :: Natural -> DataType #

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

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

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

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

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

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

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

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

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

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

Enum Natural #

Instance details

Defined in GHC.Internal.Enum

Methods

succ :: Natural -> Natural #

pred :: Natural -> Natural #

toEnum :: Int -> Natural #

fromEnum :: Natural -> Int #

enumFrom :: Natural -> [Natural] #

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

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

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

Num Natural #

Instance details

Defined in GHC.Internal.Num

Methods

(+) :: Natural -> Natural -> Natural

(-) :: Natural -> Natural -> Natural

(*) :: Natural -> Natural -> Natural

negate :: Natural -> Natural

abs :: Natural -> Natural

signum :: Natural -> Natural

fromInteger :: Integer -> Natural

Read Natural #

Instance details

Defined in GHC.Internal.Read

Methods

readsPrec :: Int -> ReadS Natural

readList :: ReadS [Natural]

readPrec :: ReadPrec Natural

readListPrec :: ReadPrec [Natural]

Integral Natural #

Instance details

Defined in GHC.Internal.Real

Methods

quot :: Natural -> Natural -> Natural

rem :: Natural -> Natural -> Natural

div :: Natural -> Natural -> Natural

mod :: Natural -> Natural -> Natural

quotRem :: Natural -> Natural -> (Natural, Natural)

divMod :: Natural -> Natural -> (Natural, Natural)

toInteger :: Natural -> Integer

Real Natural #

Instance details

Defined in GHC.Internal.Real

Methods

toRational :: Natural -> Rational

Show Natural #

Instance details

Defined in GHC.Internal.Show

Methods

showsPrec :: Int -> Natural -> ShowS #

show :: Natural -> String #

showList :: [Natural] -> ShowS #

Eq Natural #

Instance details

Defined in GHC.Num.Natural

Methods

(==) :: Natural -> Natural -> Bool #

(/=) :: Natural -> Natural -> Bool #

Ord Natural #

Instance details

Defined in GHC.Num.Natural

Methods

compare :: Natural -> Natural -> Ordering #

(<) :: Natural -> Natural -> Bool #

(<=) :: Natural -> Natural -> Bool #

(>) :: Natural -> Natural -> Bool #

(>=) :: Natural -> Natural -> Bool #

max :: Natural -> Natural -> Natural #

min :: Natural -> Natural -> Natural #

KnownNat n => HasResolution (n :: Nat) #

Instance details

Defined in Data.Fixed

Methods

resolution :: p n -> Integer

IsNatural n => From n Natural Source #

Instance details

Defined in Basement.From

Methods

from :: n -> Natural Source #

IntegralDownsize Integer Natural Source #

Instance details

Defined in Basement.IntegralConv

Methods

integralDownsize :: Integer -> Natural Source #

integralDownsizeCheck :: Integer -> Maybe Natural Source #

IntegralDownsize Natural Word16 Source #

Instance details

Defined in Basement.IntegralConv

Methods

integralDownsize :: Natural -> Word16 Source #

integralDownsizeCheck :: Natural -> Maybe Word16 Source #

IntegralDownsize Natural Word32 Source #

Instance details

Defined in Basement.IntegralConv

Methods

integralDownsize :: Natural -> Word32 Source #

integralDownsizeCheck :: Natural -> Maybe Word32 Source #

IntegralDownsize Natural Word64 Source #

Instance details

Defined in Basement.IntegralConv

Methods

integralDownsize :: Natural -> Word64 Source #

integralDownsizeCheck :: Natural -> Maybe Word64 Source #

IntegralDownsize Natural Word8 Source #

Instance details

Defined in Basement.IntegralConv

Methods

integralDownsize :: Natural -> Word8 Source #

integralDownsizeCheck :: Natural -> Maybe Word8 Source #

IsNatural a => IntegralUpsize a Natural Source #

Instance details

Defined in Basement.IntegralConv

Methods

integralUpsize :: a -> Natural Source #

TestCoercion SNat #

Instance details

Defined in GHC.Internal.TypeNats

Methods

testCoercion :: forall (a :: Nat) (b :: Nat). SNat a -> SNat b -> Maybe (Coercion a b)

TestEquality SNat #

Instance details

Defined in GHC.Internal.TypeNats

Methods

testEquality :: forall (a :: Nat) (b :: Nat). SNat a -> SNat b -> Maybe (a :~: b)

type Difference Natural Source #

Instance details

Defined in Basement.Numerical.Subtractive

type Difference Natural = Maybe Natural

type Compare (a :: Natural) (b :: Natural) #

Instance details

Defined in GHC.Internal.Data.Type.Ord

type Compare (a :: Natural) (b :: Natural) = CmpNat a b

integerToNatural :: Integer -> Natural Source #

naturalToInteger :: Natural -> Integer Source #