    -- |
    -- Module      : Foundation.Tuple
    -- License     : BSD-style
    -- Maintainer  : Vincent Hanquez <vincent@snarc.org>
    -- Stability   : experimental
    -- Portability : portable
    --
    {-# LANGUAGE DeriveDataTypeable #-}
    {-# LANGUAGE DeriveGeneric #-}
    module Foundation.Tuple
        ( Tuple2(..)
        , Tuple3(..)
        , Tuple4(..)
        , Fstable(..)
        , Sndable(..)
        , Thdable(..)
        ) where

    import Basement.Compat.Base
    import Basement.Compat.Bifunctor
    import Foundation.Primitive

    -- | Strict tuple (a,b)
    data Tuple2 a b = Tuple2 !a !b
        deriving (Int -> Tuple2 a b -> ShowS
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    Tuple2 a b -> String
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    -> Ord (Tuple2 a b)
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    instance (NormalForm a, NormalForm b) => NormalForm (Tuple2 a b) where
        toNormalForm :: Tuple2 a b -> ()
    toNormalForm (Tuple2 a :: a
    a b :: b
    b) = a -> ()
    forall a. NormalForm a => a -> ()
    toNormalForm a
    a () -> () -> ()
    forall a b. a -> b -> b
    `seq` b -> ()
    forall a. NormalForm a => a -> ()
    toNormalForm b
    b
    instance Bifunctor Tuple2 where
      bimap :: (a -> b) -> (c -> d) -> Tuple2 a c -> Tuple2 b d
    bimap f :: a -> b
    f g :: c -> d
    g (Tuple2 a :: a
    a b :: c
    b) = b -> d -> Tuple2 b d
    forall a b. a -> b -> Tuple2 a b
    Tuple2 (a -> b
    f a
    a) (c -> d
    g c
    b)

    -- | Strict tuple (a,b,c)
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    Tuple3 a b c -> String
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    Generic)

    instance (NormalForm a, NormalForm b, NormalForm c) => NormalForm (Tuple3 a b c) where
        toNormalForm :: Tuple3 a b c -> ()
    toNormalForm (Tuple3 a :: a
    a b :: b
    b c :: c
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    c

    -- | Strict tuple (a,b,c,d)
    data Tuple4 a b c d = Tuple4 !a !b !c !d
        deriving (Int -> Tuple4 a b c d -> ShowS
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    (Data a, Data b, Data c, Data d, Typeable t) =>
    (forall d. Data d => c (t d)) -> Maybe (c (Tuple4 a b c d))
    forall a b c d (t :: * -> * -> *) (c :: * -> *).
    (Data a, Data b, Data c, Data d, Typeable t) =>
    (forall d e. (Data d, Data e) => c (t d e))
    -> Maybe (c (Tuple4 a b c d))
    forall (m :: * -> *).
    Monad m =>
    (forall d. Data d => d -> m d)
    -> Tuple4 a b c d -> m (Tuple4 a b c d)
    forall (m :: * -> *).
    MonadPlus m =>
    (forall d. Data d => d -> m d)
    -> Tuple4 a b c d -> m (Tuple4 a b c d)
    forall (c :: * -> *).
    (forall b r. Data b => c (b -> r) -> c r)
    -> (forall r. r -> c r) -> Constr -> c (Tuple4 a b c d)
    forall (c :: * -> *).
    (forall d b. Data d => c (d -> b) -> d -> c b)
    -> (forall g. g -> c g) -> Tuple4 a b c d -> c (Tuple4 a b c d)
    forall (t :: * -> *) (c :: * -> *).
    Typeable t =>
    (forall d. Data d => c (t d)) -> Maybe (c (Tuple4 a b c d))
    forall (t :: * -> * -> *) (c :: * -> *).
    Typeable t =>
    (forall d e. (Data d, Data e) => c (t d e))
    -> Maybe (c (Tuple4 a b c d))
    $cTuple4 :: Constr
    $tTuple4 :: DataType
    gmapMo :: (forall d. Data d => d -> m d)
    -> Tuple4 a b c d -> m (Tuple4 a b c d)
    $cgmapMo :: forall a b c d (m :: * -> *).
    (Data a, Data b, Data c, Data d, MonadPlus m) =>
    (forall d. Data d => d -> m d)
    -> Tuple4 a b c d -> m (Tuple4 a b c d)
    gmapMp :: (forall d. Data d => d -> m d)
    -> Tuple4 a b c d -> m (Tuple4 a b c d)
    $cgmapMp :: forall a b c d (m :: * -> *).
    (Data a, Data b, Data c, Data d, MonadPlus m) =>
    (forall d. Data d => d -> m d)
    -> Tuple4 a b c d -> m (Tuple4 a b c d)
    gmapM :: (forall d. Data d => d -> m d)
    -> Tuple4 a b c d -> m (Tuple4 a b c d)
    $cgmapM :: forall a b c d (m :: * -> *).
    (Data a, Data b, Data c, Data d, Monad m) =>
    (forall d. Data d => d -> m d)
    -> Tuple4 a b c d -> m (Tuple4 a b c d)
    gmapQi :: Int -> (forall d. Data d => d -> u) -> Tuple4 a b c d -> u
    $cgmapQi :: forall a b c d u.
    (Data a, Data b, Data c, Data d) =>
    Int -> (forall d. Data d => d -> u) -> Tuple4 a b c d -> u
    gmapQ :: (forall d. Data d => d -> u) -> Tuple4 a b c d -> [u]
    $cgmapQ :: forall a b c d u.
    (Data a, Data b, Data c, Data d) =>
    (forall d. Data d => d -> u) -> Tuple4 a b c d -> [u]
    gmapQr :: (r' -> r -> r)
    -> r -> (forall d. Data d => d -> r') -> Tuple4 a b c d -> r
    $cgmapQr :: forall a b c d r r'.
    (Data a, Data b, Data c, Data d) =>
    (r' -> r -> r)
    -> r -> (forall d. Data d => d -> r') -> Tuple4 a b c d -> r
    gmapQl :: (r -> r' -> r)
    -> r -> (forall d. Data d => d -> r') -> Tuple4 a b c d -> r
    $cgmapQl :: forall a b c d r r'.
    (Data a, Data b, Data c, Data d) =>
    (r -> r' -> r)
    -> r -> (forall d. Data d => d -> r') -> Tuple4 a b c d -> r
    gmapT :: (forall b. Data b => b -> b) -> Tuple4 a b c d -> Tuple4 a b c d
    $cgmapT :: forall a b c d.
    (Data a, Data b, Data c, Data d) =>
    (forall b. Data b => b -> b) -> Tuple4 a b c d -> Tuple4 a b c d
    dataCast2 :: (forall d e. (Data d, Data e) => c (t d e))
    -> Maybe (c (Tuple4 a b c d))
    $cdataCast2 :: forall a b c d (t :: * -> * -> *) (c :: * -> *).
    (Data a, Data b, Data c, Data d, Typeable t) =>
    (forall d e. (Data d, Data e) => c (t d e))
    -> Maybe (c (Tuple4 a b c d))
    dataCast1 :: (forall d. Data d => c (t d)) -> Maybe (c (Tuple4 a b c d))
    $cdataCast1 :: forall a b c d (t :: * -> *) (c :: * -> *).
    (Data a, Data b, Data c, Data d, Typeable t) =>
    (forall d. Data d => c (t d)) -> Maybe (c (Tuple4 a b c d))
    dataTypeOf :: Tuple4 a b c d -> DataType
    $cdataTypeOf :: forall a b c d.
    (Data a, Data b, Data c, Data d) =>
    Tuple4 a b c d -> DataType
    toConstr :: Tuple4 a b c d -> Constr
    $ctoConstr :: forall a b c d.
    (Data a, Data b, Data c, Data d) =>
    Tuple4 a b c d -> Constr
    gunfold :: (forall b r. Data b => c (b -> r) -> c r)
    -> (forall r. r -> c r) -> Constr -> c (Tuple4 a b c d)
    $cgunfold :: forall a b c d (c :: * -> *).
    (Data a, Data b, Data c, Data d) =>
    (forall b r. Data b => c (b -> r) -> c r)
    -> (forall r. r -> c r) -> Constr -> c (Tuple4 a b c d)
    gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b)
    -> (forall g. g -> c g) -> Tuple4 a b c d -> c (Tuple4 a b c d)
    $cgfoldl :: forall a b c d (c :: * -> *).
    (Data a, Data b, Data c, Data d) =>
    (forall d b. Data d => c (d -> b) -> d -> c b)
    -> (forall g. g -> c g) -> Tuple4 a b c d -> c (Tuple4 a b c d)
    $cp1Data :: forall a b c d.
    (Data a, Data b, Data c, Data d) =>
    Typeable (Tuple4 a b c d)
    Data,(forall x. Tuple4 a b c d -> Rep (Tuple4 a b c d) x)
    -> (forall x. Rep (Tuple4 a b c d) x -> Tuple4 a b c d)
    -> Generic (Tuple4 a b c d)
    forall x. Rep (Tuple4 a b c d) x -> Tuple4 a b c d
    forall x. Tuple4 a b c d -> Rep (Tuple4 a b c d) x
    forall a.
    (forall x. a -> Rep a x) -> (forall x. Rep a x -> a) -> Generic a
    forall a b c d x. Rep (Tuple4 a b c d) x -> Tuple4 a b c d
    forall a b c d x. Tuple4 a b c d -> Rep (Tuple4 a b c d) x
    $cto :: forall a b c d x. Rep (Tuple4 a b c d) x -> Tuple4 a b c d
    $cfrom :: forall a b c d x. Tuple4 a b c d -> Rep (Tuple4 a b c d) x
    Generic)

    instance (NormalForm a, NormalForm b, NormalForm c, NormalForm d)
          => NormalForm (Tuple4 a b c d) where
        toNormalForm :: Tuple4 a b c d -> ()
    toNormalForm (Tuple4 a :: a
    a b :: b
    b c :: c
    c d :: d
    d) = a -> ()
    forall a. NormalForm a => a -> ()
    toNormalForm a
    a () -> () -> ()
    forall a b. a -> b -> b
    `seq` b -> ()
    forall a. NormalForm a => a -> ()
    toNormalForm b
    b () -> () -> ()
    forall a b. a -> b -> b
    `seq` c -> ()
    forall a. NormalForm a => a -> ()
    toNormalForm c
    c () -> () -> ()
    forall a b. a -> b -> b
    `seq` d -> ()
    forall a. NormalForm a => a -> ()
    toNormalForm d
    d

    -- | Class of product types that have a first element
    class Fstable a where
        type ProductFirst a
        fst :: a -> ProductFirst a

    -- | Class of product types that have a second element
    class Sndable a where
        type ProductSecond a
        snd :: a -> ProductSecond a

    -- | Class of product types that have a third element
    class Thdable a where
        type ProductThird a
        thd :: a -> ProductThird a

    instance Fstable (a,b) where
        type ProductFirst (a,b) = a
        fst :: (a, b) -> ProductFirst (a, b)
    fst (a :: a
    a,_) = a
    ProductFirst (a, b)
    a
    instance Fstable (a,b,c) where
        type ProductFirst (a,b,c) = a
        fst :: (a, b, c) -> ProductFirst (a, b, c)
    fst (a :: a
    a,_,_) = a
    ProductFirst (a, b, c)
    a
    instance Fstable (a,b,c,d) where
        type ProductFirst (a,b,c,d) = a
        fst :: (a, b, c, d) -> ProductFirst (a, b, c, d)
    fst (a :: a
    a,_,_,_) = a
    ProductFirst (a, b, c, d)
    a
    instance Fstable (Tuple2 a b) where
        type ProductFirst (Tuple2 a b) = a
        fst :: Tuple2 a b -> ProductFirst (Tuple2 a b)
    fst (Tuple2 a :: a
    a _) = a
    ProductFirst (Tuple2 a b)
    a
    instance Fstable (Tuple3 a b c) where
        type ProductFirst (Tuple3 a b c) = a
        fst :: Tuple3 a b c -> ProductFirst (Tuple3 a b c)
    fst (Tuple3 a :: a
    a _ _) = a
    ProductFirst (Tuple3 a b c)
    a
    instance Fstable (Tuple4 a b c d) where
        type ProductFirst (Tuple4 a b c d) = a
        fst :: Tuple4 a b c d -> ProductFirst (Tuple4 a b c d)
    fst (Tuple4 a :: a
    a _ _ _) = a
    ProductFirst (Tuple4 a b c d)
    a

    instance Sndable (a,b) where
        type ProductSecond (a,b) = b
        snd :: (a, b) -> ProductSecond (a, b)
    snd (_,b :: b
    b) = b
    ProductSecond (a, b)
    b
    instance Sndable (a,b,c) where
        type ProductSecond (a,b,c) = b
        snd :: (a, b, c) -> ProductSecond (a, b, c)
    snd (_,b :: b
    b,_) = b
    ProductSecond (a, b, c)
    b
    instance Sndable (a,b,c,d) where
        type ProductSecond (a,b,c,d) = b
        snd :: (a, b, c, d) -> ProductSecond (a, b, c, d)
    snd (_,b :: b
    b,_,_) = b
    ProductSecond (a, b, c, d)
    b
    instance Sndable (Tuple2 a b) where
        type ProductSecond (Tuple2 a b) = b
        snd :: Tuple2 a b -> ProductSecond (Tuple2 a b)
    snd (Tuple2 _ b :: b
    b) = b
    ProductSecond (Tuple2 a b)
    b
    instance Sndable (Tuple3 a b c) where
        type ProductSecond (Tuple3 a b c) = b
        snd :: Tuple3 a b c -> ProductSecond (Tuple3 a b c)
    snd (Tuple3 _ b :: b
    b _) = b
    ProductSecond (Tuple3 a b c)
    b
    instance Sndable (Tuple4 a b c d) where
        type ProductSecond (Tuple4 a b c d) = b
        snd :: Tuple4 a b c d -> ProductSecond (Tuple4 a b c d)
    snd (Tuple4 _ b :: b
    b _ _) = b
    ProductSecond (Tuple4 a b c d)
    b

    instance Thdable (a,b,c) where
        type ProductThird (a,b,c) = c
        thd :: (a, b, c) -> ProductThird (a, b, c)
    thd (_,_,c :: c
    c) = c
    ProductThird (a, b, c)
    c
    instance Thdable (a,b,c,d) where
        type ProductThird (a,b,c,d) = c
        thd :: (a, b, c, d) -> ProductThird (a, b, c, d)
    thd (_,_,c :: c
    c,_) = c
    ProductThird (a, b, c, d)
    c
    instance Thdable (Tuple3 a b c) where
        type ProductThird (Tuple3 a b c) = c
        thd :: Tuple3 a b c -> ProductThird (Tuple3 a b c)
    thd (Tuple3 _ _ c :: c
    c) = c
    ProductThird (Tuple3 a b c)
    c
    instance Thdable (Tuple4 a b c d) where
        type ProductThird (Tuple4 a b c d) = c
        thd :: Tuple4 a b c d -> ProductThird (Tuple4 a b c d)
    thd (Tuple4 _ _ c :: c
    c _) = c
    ProductThird (Tuple4 a b c d)
    c