module Integer.Subtraction
( Subtraction (subtractInteger, subtractSigned),
Subtraction' (subtract),
)
where
import Integer.Integer (Integer)
import Integer.Natural (Natural)
import Integer.Natural qualified as Natural
import Integer.Positive (Positive)
import Integer.Positive qualified as Positive
import Integer.Signed (Signed)
import Integer.Signed qualified as Signed
import Prelude qualified as Num (Num (..))
class Subtraction a where
subtractInteger :: a -> a -> Integer
subtractInteger a
a a
b = Signed -> Integer
Signed.toInteger (forall a. Subtraction a => a -> a -> Signed
subtractSigned a
a a
b)
subtractSigned :: a -> a -> Signed
subtractSigned a
a a
b = Integer -> Signed
Signed.fromInteger (forall a. Subtraction a => a -> a -> Integer
subtractInteger a
a a
b)
instance Subtraction Integer where
subtractInteger :: Integer -> Integer -> Integer
subtractInteger = forall a. Num a => a -> a -> a
(Num.-)
instance Subtraction Signed where
subtractInteger :: Signed -> Signed -> Integer
subtractInteger Signed
a Signed
b = forall a. Num a => a -> a -> a
(Num.-) (Signed -> Integer
Signed.toInteger Signed
a) (Signed -> Integer
Signed.toInteger Signed
b)
subtractSigned :: Signed -> Signed -> Signed
subtractSigned = forall a. Num a => a -> a -> a
(Num.-)
instance Subtraction Natural where
subtractSigned :: Natural -> Natural -> Signed
subtractSigned = Natural -> Natural -> Signed
Natural.subtract
instance Subtraction Positive where
subtractSigned :: Positive -> Positive -> Signed
subtractSigned = Positive -> Positive -> Signed
Positive.subtract
class Subtraction' b where
subtract :: Subtraction a => a -> a -> b
instance Subtraction' Integer where
subtract :: forall a. Subtraction a => a -> a -> Integer
subtract = forall a. Subtraction a => a -> a -> Integer
subtractInteger
instance Subtraction' Signed where
subtract :: forall a. Subtraction a => a -> a -> Signed
subtract = forall a. Subtraction a => a -> a -> Signed
subtractSigned