module Data.Digit.Digit2(
Digit2(..)
) where
import Papa
import Data.Digit.D2(D2(d2))
import Prelude(Bounded, RealFrac)
newtype Digit2 a =
Digit2 a
deriving (Eq, Ord, Bounded, Show, Enum, Floating, Fractional, Num, Integral, Real, RealFloat, RealFrac)
instance D2 a => D2 (Digit2 a) where
d2 =
_Wrapped . d2
instance Functor Digit2 where
fmap f (Digit2 a) =
Digit2 (f a)
instance Apply Digit2 where
Digit2 f <.> Digit2 a =
Digit2 (f a)
instance Applicative Digit2 where
pure =
Digit2
(<*>) =
(<.>)
instance Bind Digit2 where
Digit2 a >>- f =
f a
instance Monad Digit2 where
return =
pure
(>>=) =
(>>-)
instance Foldable Digit2 where
foldMap f (Digit2 a) =
f a
instance Foldable1 Digit2 where
foldMap1 f (Digit2 a) =
f a
instance Traversable Digit2 where
traverse f (Digit2 a) =
Digit2 <$> f a
instance Traversable1 Digit2 where
traverse1 f (Digit2 a) =
Digit2 <$> f a
instance Semigroup a => Semigroup (Digit2 a) where
Digit2 x <> Digit2 y =
Digit2 (x <> y)
instance Monoid a => Monoid (Digit2 a) where
Digit2 x `mappend` Digit2 y =
Digit2 (x `mappend` y)
mempty =
Digit2 mempty
instance Field1 (Digit2 a) (Digit2 b) a b where
_1 =
_Wrapped
instance FunctorWithIndex () Digit2 where
imap f =
fmap (f ())
instance FoldableWithIndex () Digit2 where
ifoldMap f =
foldMap (f ())
instance TraversableWithIndex () Digit2 where
itraverse f =
traverse (f ())
instance Each (Digit2 a) (Digit2 b) a b where
each =
traverse
type instance Index (Digit2 a) =
()
type instance IxValue (Digit2 a) =
a
instance Ixed (Digit2 a) where
ix () f (Digit2 a) =
Digit2 <$> f a
makeWrapped ''Digit2