module Data.Digit.Digit3(
Digit3(..)
) where
import Papa
import Data.Digit.D3(D3(d3))
import Prelude(Bounded, RealFrac)
newtype Digit3 a =
Digit3 a
deriving (Eq, Ord, Bounded, Show, Enum, Floating, Fractional, Num, Integral, Real, RealFloat, RealFrac)
instance D3 a => D3 (Digit3 a) where
d3 =
_Wrapped . d3
instance Functor Digit3 where
fmap f (Digit3 a) =
Digit3 (f a)
instance Apply Digit3 where
Digit3 f <.> Digit3 a =
Digit3 (f a)
instance Applicative Digit3 where
pure =
Digit3
(<*>) =
(<.>)
instance Bind Digit3 where
Digit3 a >>- f =
f a
instance Monad Digit3 where
return =
pure
(>>=) =
(>>-)
instance Foldable Digit3 where
foldMap f (Digit3 a) =
f a
instance Foldable1 Digit3 where
foldMap1 f (Digit3 a) =
f a
instance Traversable Digit3 where
traverse f (Digit3 a) =
Digit3 <$> f a
instance Traversable1 Digit3 where
traverse1 f (Digit3 a) =
Digit3 <$> f a
instance Semigroup a => Semigroup (Digit3 a) where
Digit3 x <> Digit3 y =
Digit3 (x <> y)
instance Monoid a => Monoid (Digit3 a) where
Digit3 x `mappend` Digit3 y =
Digit3 (x `mappend` y)
mempty =
Digit3 mempty
instance Field1 (Digit3 a) (Digit3 b) a b where
_1 =
_Wrapped
instance FunctorWithIndex () Digit3 where
imap f =
fmap (f ())
instance FoldableWithIndex () Digit3 where
ifoldMap f =
foldMap (f ())
instance TraversableWithIndex () Digit3 where
itraverse f =
traverse (f ())
instance Each (Digit3 a) (Digit3 b) a b where
each =
traverse
type instance Index (Digit3 a) =
()
type instance IxValue (Digit3 a) =
a
instance Ixed (Digit3 a) where
ix () f (Digit3 a) =
Digit3 <$> f a
makeWrapped ''Digit3