module Data.Digit.Digit9(
Digit9(..)
) where
import Papa
import Data.Digit.D9(D9(d9))
import Prelude(Bounded, RealFrac)
newtype Digit9 a =
Digit9 a
deriving (Eq, Ord, Bounded, Show, Enum, Floating, Fractional, Num, Integral, Real, RealFloat, RealFrac)
instance D9 a => D9 (Digit9 a) where
d9 =
_Wrapped . d9
instance Functor Digit9 where
fmap f (Digit9 a) =
Digit9 (f a)
instance Apply Digit9 where
Digit9 f <.> Digit9 a =
Digit9 (f a)
instance Applicative Digit9 where
pure =
Digit9
(<*>) =
(<.>)
instance Bind Digit9 where
Digit9 a >>- f =
f a
instance Monad Digit9 where
return =
pure
(>>=) =
(>>-)
instance Foldable Digit9 where
foldMap f (Digit9 a) =
f a
instance Foldable1 Digit9 where
foldMap1 f (Digit9 a) =
f a
instance Traversable Digit9 where
traverse f (Digit9 a) =
Digit9 <$> f a
instance Traversable1 Digit9 where
traverse1 f (Digit9 a) =
Digit9 <$> f a
instance Semigroup a => Semigroup (Digit9 a) where
Digit9 x <> Digit9 y =
Digit9 (x <> y)
instance Monoid a => Monoid (Digit9 a) where
Digit9 x `mappend` Digit9 y =
Digit9 (x `mappend` y)
mempty =
Digit9 mempty
instance Field1 (Digit9 a) (Digit9 b) a b where
_1 =
_Wrapped
instance FunctorWithIndex () Digit9 where
imap f =
fmap (f ())
instance FoldableWithIndex () Digit9 where
ifoldMap f =
foldMap (f ())
instance TraversableWithIndex () Digit9 where
itraverse f =
traverse (f ())
instance Each (Digit9 a) (Digit9 b) a b where
each =
traverse
type instance Index (Digit9 a) =
()
type instance IxValue (Digit9 a) =
a
instance Ixed (Digit9 a) where
ix () f (Digit9 a) =
Digit9 <$> f a
makeWrapped ''Digit9