basement-0.0.16: Foundation scrap box of array & string
Safe HaskellSafe-Inferred
LanguageHaskell2010

Basement.Compat.Natural

Documentation

data Natural #

Instances

Instances details
Data Natural 
Instance details

Defined in 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 #

Bits Natural 
Instance details

Defined in GHC.Bits

Enum Natural 
Instance details

Defined in GHC.Enum

Num Natural 
Instance details

Defined in GHC.Num

Read Natural 
Instance details

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Natural

readList :: ReadS [Natural]

readPrec :: ReadPrec Natural

readListPrec :: ReadPrec [Natural]

Integral Natural 
Instance details

Defined in GHC.Real

Real Natural 
Instance details

Defined in GHC.Real

Methods

toRational :: Natural -> Rational

Show Natural 
Instance details

Defined in GHC.Show

Methods

showsPrec :: Int -> Natural -> ShowS #

show :: Natural -> String #

showList :: [Natural] -> ShowS #

Integral Natural # 
Instance details

Defined in Basement.Compat.NumLiteral

NormalForm Natural # 
Instance details

Defined in Basement.NormalForm

Methods

toNormalForm :: Natural -> () #

Additive Natural # 
Instance details

Defined in Basement.Numerical.Additive

Methods

azero :: Natural #

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

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

IDivisible Natural # 
Instance details

Defined in Basement.Numerical.Multiplicative

Multiplicative Natural # 
Instance details

Defined in Basement.Numerical.Multiplicative

IsIntegral Natural # 
Instance details

Defined in Basement.Numerical.Number

Methods

toInteger :: Natural -> Integer #

IsNatural Natural # 
Instance details

Defined in Basement.Numerical.Number

Methods

toNatural :: Natural -> Natural #

Subtractive Natural # 
Instance details

Defined in Basement.Numerical.Subtractive

Associated Types

type Difference Natural #

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

TestCoercion SNat 
Instance details

Defined in GHC.TypeNats

Methods

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

TestEquality SNat 
Instance details

Defined in GHC.TypeNats

Methods

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

IsNatural n => From n Natural # 
Instance details

Defined in Basement.From

Methods

from :: n -> Natural #

IntegralDownsize Integer Natural # 
Instance details

Defined in Basement.IntegralConv

IntegralDownsize Natural Word16 # 
Instance details

Defined in Basement.IntegralConv

IntegralDownsize Natural Word32 # 
Instance details

Defined in Basement.IntegralConv

IntegralDownsize Natural Word64 # 
Instance details

Defined in Basement.IntegralConv

IntegralDownsize Natural Word8 # 
Instance details

Defined in Basement.IntegralConv

IsNatural a => IntegralUpsize a Natural # 
Instance details

Defined in Basement.IntegralConv

Methods

integralUpsize :: a -> Natural #

type Difference Natural # 
Instance details

Defined in Basement.Numerical.Subtractive

type Compare (a :: Natural) (b :: Natural) 
Instance details

Defined in Data.Type.Ord

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