(original) (raw)
{-# LANGUAGE DeriveDataTypeable #-} {-# LANGUAGE DeriveGeneric #-} {-# LANGUAGE PolyKinds #-} {-# LANGUAGE Safe #-}
module Data.Functor.Sum ( Sum(..), ) where
import Control.Applicative ((<|>)) import Data.Data (Data) import Data.Functor.Classes import GHC.Generics (Generic, Generic1) import Text.Read (Read(..), readListDefault, readListPrecDefault)
data Sum f g a = InL (f a) | InR (g a)
deriving ( Typeable (Sum f g a)
Typeable (Sum f g a)
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instance (Eq1 f, Eq1 g) => Eq1 (Sum f g) where liftEq :: forall a b. (a -> b -> Bool) -> Sum f g a -> Sum f g b -> Bool liftEq a -> b -> Bool eq (InL f a x1) (InL f b x2) = (a -> b -> Bool) -> f a -> f b -> Bool forall a b. (a -> b -> Bool) -> f a -> f b -> Bool forall (f :: * -> *) a b. Eq1 f => (a -> b -> Bool) -> f a -> f b -> Bool liftEq a -> b -> Bool eq f a x1 f b x2 liftEq a -> b -> Bool _ (InL f a _) (InR g b _) = Bool False liftEq a -> b -> Bool _ (InR g a _) (InL f b _) = Bool False liftEq a -> b -> Bool eq (InR g a y1) (InR g b y2) = (a -> b -> Bool) -> g a -> g b -> Bool forall a b. (a -> b -> Bool) -> g a -> g b -> Bool forall (f :: * -> *) a b. Eq1 f => (a -> b -> Bool) -> f a -> f b -> Bool liftEq a -> b -> Bool eq g a y1 g b y2
instance (Ord1 f, Ord1 g) => Ord1 (Sum f g) where liftCompare :: forall a b. (a -> b -> Ordering) -> Sum f g a -> Sum f g b -> Ordering liftCompare a -> b -> Ordering comp (InL f a x1) (InL f b x2) = (a -> b -> Ordering) -> f a -> f b -> Ordering forall a b. (a -> b -> Ordering) -> f a -> f b -> Ordering forall (f :: * -> *) a b. Ord1 f => (a -> b -> Ordering) -> f a -> f b -> Ordering liftCompare a -> b -> Ordering comp f a x1 f b x2 liftCompare a -> b -> Ordering _ (InL f a _) (InR g b _) = Ordering LT liftCompare a -> b -> Ordering _ (InR g a _) (InL f b _) = Ordering GT liftCompare a -> b -> Ordering comp (InR g a y1) (InR g b y2) = (a -> b -> Ordering) -> g a -> g b -> Ordering forall a b. (a -> b -> Ordering) -> g a -> g b -> Ordering forall (f :: * -> *) a b. Ord1 f => (a -> b -> Ordering) -> f a -> f b -> Ordering liftCompare a -> b -> Ordering comp g a y1 g b y2
instance (Read1 f, Read1 g) => Read1 (Sum f g) where liftReadPrec :: forall a. ReadPrec a -> ReadPrec [a] -> ReadPrec (Sum f g a) liftReadPrec ReadPrec a rp ReadPrec [a] rl = ReadPrec (Sum f g a) -> ReadPrec (Sum f g a) forall a. ReadPrec a -> ReadPrec a readData (ReadPrec (Sum f g a) -> ReadPrec (Sum f g a)) -> ReadPrec (Sum f g a) -> ReadPrec (Sum f g a) forall a b. (a -> b) -> a -> b $ ReadPrec (f a) -> String -> (f a -> Sum f g a) -> ReadPrec (Sum f g a) forall a t. ReadPrec a -> String -> (a -> t) -> ReadPrec t readUnaryWith (ReadPrec a -> ReadPrec [a] -> ReadPrec (f a) forall a. ReadPrec a -> ReadPrec [a] -> ReadPrec (f a) forall (f :: * -> *) a. Read1 f => ReadPrec a -> ReadPrec [a] -> ReadPrec (f a) liftReadPrec ReadPrec a rp ReadPrec [a] rl) String "InL" f a -> Sum f g a forall {k} (f :: k -> *) (g :: k -> *) (a :: k). f a -> Sum f g a InL ReadPrec (Sum f g a) -> ReadPrec (Sum f g a) -> ReadPrec (Sum f g a) forall a. ReadPrec a -> ReadPrec a -> ReadPrec a forall (f :: * -> *) a. Alternative f => f a -> f a -> f a <|> ReadPrec (g a) -> String -> (g a -> Sum f g a) -> ReadPrec (Sum f g a) forall a t. ReadPrec a -> String -> (a -> t) -> ReadPrec t readUnaryWith (ReadPrec a -> ReadPrec [a] -> ReadPrec (g a) forall a. ReadPrec a -> ReadPrec [a] -> ReadPrec (g a) forall (f :: * -> *) a. Read1 f => ReadPrec a -> ReadPrec [a] -> ReadPrec (f a) liftReadPrec ReadPrec a rp ReadPrec [a] rl) String "InR" g a -> Sum f g a forall {k} (f :: k -> *) (g :: k -> *) (a :: k). g a -> Sum f g a InR
liftReadListPrec :: forall a. ReadPrec a -> ReadPrec [a] -> ReadPrec [Sum f g a]liftReadListPrec = ReadPrec a -> ReadPrec [a] -> ReadPrec [Sum f g a] forall (f :: * -> *) a. Read1 f => ReadPrec a -> ReadPrec [a] -> ReadPrec [f a] liftReadListPrecDefault liftReadList :: forall a. (Int -> ReadS a) -> ReadS [a] -> ReadS [Sum f g a] liftReadList = (Int -> ReadS a) -> ReadS [a] -> ReadS [Sum f g a] forall (f :: * -> *) a. Read1 f => (Int -> ReadS a) -> ReadS [a] -> ReadS [f a] liftReadListDefault
instance (Show1 f, Show1 g) => Show1 (Sum f g) where liftShowsPrec :: forall a. (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Sum f g a -> ShowS liftShowsPrec Int -> a -> ShowS sp [a] -> ShowS sl Int d (InL f a x) = (Int -> f a -> ShowS) -> String -> Int -> f a -> ShowS forall a. (Int -> a -> ShowS) -> String -> Int -> a -> ShowS showsUnaryWith ((Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> f a -> ShowS forall a. (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> f a -> ShowS forall (f :: * -> *) a. Show1 f => (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> f a -> ShowS liftShowsPrec Int -> a -> ShowS sp [a] -> ShowS sl) String "InL" Int d f a x liftShowsPrec Int -> a -> ShowS sp [a] -> ShowS sl Int d (InR g a y) = (Int -> g a -> ShowS) -> String -> Int -> g a -> ShowS forall a. (Int -> a -> ShowS) -> String -> Int -> a -> ShowS showsUnaryWith ((Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> g a -> ShowS forall a. (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> g a -> ShowS forall (f :: * -> *) a. Show1 f => (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> f a -> ShowS liftShowsPrec Int -> a -> ShowS sp [a] -> ShowS sl) String "InR" Int d g a y
instance (Eq1 f, Eq1 g, Eq a) => Eq (Sum f g a) where == :: Sum f g a -> Sum f g a -> Bool (==) = Sum f g a -> Sum f g a -> Bool forall (f :: * -> *) a. (Eq1 f, Eq a) => f a -> f a -> Bool eq1
instance (Ord1 f, Ord1 g, Ord a) => Ord (Sum f g a) where compare :: Sum f g a -> Sum f g a -> Ordering compare = Sum f g a -> Sum f g a -> Ordering forall (f :: * -> *) a. (Ord1 f, Ord a) => f a -> f a -> Ordering compare1
instance (Read1 f, Read1 g, Read a) => Read (Sum f g a) where readPrec :: ReadPrec (Sum f g a) readPrec = ReadPrec (Sum f g a) forall (f :: * -> *) a. (Read1 f, Read a) => ReadPrec (f a) readPrec1
readListPrec :: ReadPrec [Sum f g a]readListPrec = ReadPrec [Sum f g a] forall a. Read a => ReadPrec [a] readListPrecDefault readList :: ReadS [Sum f g a] readList = ReadS [Sum f g a] forall a. Read a => ReadS [a] readListDefault
instance (Show1 f, Show1 g, Show a) => Show (Sum f g a) where showsPrec :: Int -> Sum f g a -> ShowS showsPrec = Int -> Sum f g a -> ShowS forall (f :: * -> *) a. (Show1 f, Show a) => Int -> f a -> ShowS showsPrec1
instance (Functor f, Functor g) => Functor (Sum f g) where fmap :: forall a b. (a -> b) -> Sum f g a -> Sum f g b fmap a -> b f (InL f a x) = f b -> Sum f g b forall {k} (f :: k -> *) (g :: k -> *) (a :: k). f a -> Sum f g a InL ((a -> b) -> f a -> f b forall a b. (a -> b) -> f a -> f b forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b fmap a -> b f f a x) fmap a -> b f (InR g a y) = g b -> Sum f g b forall {k} (f :: k -> *) (g :: k -> *) (a :: k). g a -> Sum f g a InR ((a -> b) -> g a -> g b forall a b. (a -> b) -> g a -> g b forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b fmap a -> b f g a y)
aa <$ :: forall a b. a -> Sum f g b -> Sum f g a <$ (InL f b x) = f a -> Sum f g a forall {k} (f :: k -> *) (g :: k -> *) (a :: k). f a -> Sum f g a InL (a a a -> f b -> f a forall a b. a -> f b -> f a forall (f :: * -> *) a b. Functor f => a -> f b -> f a <$ f b x) a a <$ (InR g b y) = g a -> Sum f g a forall {k} (f :: k -> *) (g :: k -> *) (a :: k). g a -> Sum f g a InR (a a a -> g b -> g a forall a b. a -> g b -> g a forall (f :: * -> *) a b. Functor f => a -> f b -> f a <$ g b y)
instance (Foldable f, Foldable g) => Foldable (Sum f g) where foldMap :: forall m a. Monoid m => (a -> m) -> Sum f g a -> m foldMap a -> m f (InL f a x) = (a -> m) -> f a -> m forall m a. Monoid m => (a -> m) -> f a -> m forall (t :: * -> *) m a. (Foldable t, Monoid m) => (a -> m) -> t a -> m foldMap a -> m f f a x foldMap a -> m f (InR g a y) = (a -> m) -> g a -> m forall m a. Monoid m => (a -> m) -> g a -> m forall (t :: * -> *) m a. (Foldable t, Monoid m) => (a -> m) -> t a -> m foldMap a -> m f g a y
instance (Traversable f, Traversable g) => Traversable (Sum f g) where traverse :: forall (f :: * -> *) a b. Applicative f => (a -> f b) -> Sum f g a -> f (Sum f g b) traverse a -> f b f (InL f a x) = f b -> Sum f g b forall {k} (f :: k -> *) (g :: k -> *) (a :: k). f a -> Sum f g a InL (f b -> Sum f g b) -> f (f b) -> f (Sum f g b) forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b <$> (a -> f b) -> f a -> f (f b) forall (t :: * -> *) (f :: * -> *) a b. (Traversable t, Applicative f) => (a -> f b) -> t a -> f (t b) forall (f :: * -> *) a b. Applicative f => (a -> f b) -> f a -> f (f b) traverse a -> f b f f a x traverse a -> f b f (InR g a y) = g b -> Sum f g b forall {k} (f :: k -> *) (g :: k -> *) (a :: k). g a -> Sum f g a InR (g b -> Sum f g b) -> f (g b) -> f (Sum f g b) forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b <$> (a -> f b) -> g a -> f (g b) forall (t :: * -> *) (f :: * -> *) a b. (Traversable t, Applicative f) => (a -> f b) -> t a -> f (t b) forall (f :: * -> *) a b. Applicative f => (a -> f b) -> g a -> f (g b) traverse a -> f b f g a y