module Data.Digit.Digit0(
Digit0(..)
) where
import Papa
import Data.Digit.D0(D0(d0))
import Prelude(Bounded, RealFrac)
newtype Digit0 a =
Digit0 a
deriving (Eq, Ord, Bounded, Show, Enum, Floating, Fractional, Num, Integral, Real, RealFloat, RealFrac)
instance D0 a => D0 (Digit0 a) where
d0 =
_Wrapped . d0
instance Functor Digit0 where
fmap f (Digit0 a) =
Digit0 (f a)
instance Apply Digit0 where
Digit0 f <.> Digit0 a =
Digit0 (f a)
instance Applicative Digit0 where
pure =
Digit0
(<*>) =
(<.>)
instance Bind Digit0 where
Digit0 a >>- f =
f a
instance Monad Digit0 where
return =
pure
(>>=) =
(>>-)
instance Foldable Digit0 where
foldMap f (Digit0 a) =
f a
instance Foldable1 Digit0 where
foldMap1 f (Digit0 a) =
f a
instance Traversable Digit0 where
traverse f (Digit0 a) =
Digit0 <$> f a
instance Traversable1 Digit0 where
traverse1 f (Digit0 a) =
Digit0 <$> f a
instance Semigroup a => Semigroup (Digit0 a) where
Digit0 x <> Digit0 y =
Digit0 (x <> y)
instance Monoid a => Monoid (Digit0 a) where
Digit0 x `mappend` Digit0 y =
Digit0 (x `mappend` y)
mempty =
Digit0 mempty
instance Field1 (Digit0 a) (Digit0 b) a b where
_1 =
_Wrapped
instance FunctorWithIndex () Digit0 where
imap f =
fmap (f ())
instance FoldableWithIndex () Digit0 where
ifoldMap f =
foldMap (f ())
instance TraversableWithIndex () Digit0 where
itraverse f =
traverse (f ())
instance Each (Digit0 a) (Digit0 b) a b where
each =
traverse
type instance Index (Digit0 a) =
()
type instance IxValue (Digit0 a) =
a
instance Ixed (Digit0 a) where
ix () f (Digit0 a) =
Digit0 <$> f a
makeWrapped ''Digit0