first-class-families-0.6.0.0: First class type families

Safe Haskell | Safe
Language | Haskell2010

Fcf.Core

Description

The `Eval` family.

Synopsis

- type Exp a = a -> Type
- type family Eval (e :: Exp a) :: a
- type (@@) f x = Eval (f x)

# Documentation

type Exp a = a -> Type Source #

Kind of type-level expressions indexed by their result type.

type family Eval (e :: Exp a) :: a Source #

Expression evaluator.

Instances

type Eval (Not False) Source # |
Instance details Defined in Fcf.Data.Bool type Eval (Not False) = True
type Eval (Not True) Source # |
Instance details Defined in Fcf.Data.Bool type Eval (Not True) = False
type Eval (Constraints (a ': as) :: Constraint -> Type) Source # |
Instance details Defined in Fcf.Utils type Eval (Constraints (a ': as) :: Constraint -> Type) = (a, Eval (Constraints as))
type Eval (Constraints ([] :: [Constraint])) Source # |
Instance details Defined in Fcf.Utils type Eval (Constraints ([] :: [Constraint])) = ()
type Eval (IsJust (Nothing :: Maybe a) :: Bool -> Type) Source # |
Instance details Defined in Fcf.Data.Common type Eval (IsJust (Nothing :: Maybe a) :: Bool -> Type) = False
type Eval (IsJust (Just _a) :: Bool -> Type) Source # |
Instance details Defined in Fcf.Data.Common type Eval (IsJust (Just _a) :: Bool -> Type) = True
type Eval (IsNothing (Nothing :: Maybe a) :: Bool -> Type) Source # |
Instance details Defined in Fcf.Data.Common type Eval (IsNothing (Nothing :: Maybe a) :: Bool -> Type) = True
type Eval (IsNothing (Just _a) :: Bool -> Type) Source # |
Instance details Defined in Fcf.Data.Common type Eval (IsNothing (Just _a) :: Bool -> Type) = False
type Eval (False && b :: Bool -> Type) Source # |
Instance details Defined in Fcf.Data.Bool type Eval (False && b :: Bool -> Type) = False
type Eval (True && b :: Bool -> Type) Source # |
Instance details Defined in Fcf.Data.Bool type Eval (True && b :: Bool -> Type) = b
type Eval (a && True :: Bool -> Type) Source # |
Instance details Defined in Fcf.Data.Bool type Eval (a && True :: Bool -> Type) = a
type Eval (a && False :: Bool -> Type) Source # |
Instance details Defined in Fcf.Data.Bool type Eval (a && False :: Bool -> Type) = False
type Eval (False || b :: Bool -> Type) Source # |
Instance details Defined in Fcf.Data.Bool type Eval (False || b :: Bool -> Type) = b
type Eval (True || b :: Bool -> Type) Source # |
Instance details Defined in Fcf.Data.Bool type Eval (True || b :: Bool -> Type) = True
type Eval (a || False :: Bool -> Type) Source # |
Instance details Defined in Fcf.Data.Bool type Eval (a || False :: Bool -> Type) = a
type Eval (a || True :: Bool -> Type) Source # |
Instance details Defined in Fcf.Data.Bool type Eval (a || True :: Bool -> Type) = True
type Eval (a > b :: Bool -> Type) Source # |
Instance details Defined in Fcf.Data.Nat type Eval (a > b :: Bool -> Type) = Eval (Not =<< (a <= b))
type Eval (a < b :: Bool -> Type) Source # |
Instance details Defined in Fcf.Data.Nat type Eval (a < b :: Bool -> Type) = Eval (Not =<< (a >= b))
type Eval (a >= b :: Bool -> Type) Source # |
Instance details Defined in Fcf.Data.Nat type Eval (a >= b :: Bool -> Type) = b <=? a
type Eval (a <= b :: Bool -> Type) Source # |
Instance details Defined in Fcf.Data.Nat type Eval (a <= b :: Bool -> Type) = a <=? b
type Eval (Null (a2 ': as) :: Bool -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (Null (a2 ': as) :: Bool -> Type) = False
type Eval (Null ([] :: [a]) :: Bool -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (Null ([] :: [a]) :: Bool -> Type) = True
type Eval (a ^ b :: Nat -> Type) Source # |
Instance details Defined in Fcf.Data.Nat type Eval (a ^ b :: Nat -> Type) = a ^ b
type Eval (a * b :: Nat -> Type) Source # |
Instance details Defined in Fcf.Data.Nat type Eval (a * b :: Nat -> Type) = a * b
type Eval (a - b :: Nat -> Type) Source # |
Instance details Defined in Fcf.Data.Nat type Eval (a - b :: Nat -> Type) = a - b
type Eval (a + b :: Nat -> Type) Source # |
Instance details Defined in Fcf.Data.Nat type Eval (a + b :: Nat -> Type) = a + b
type Eval (Length (a2 ': as) :: Nat -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (Length (a2 ': as) :: Nat -> Type) = 1 + Eval (Length as)
type Eval (Length ([] :: [a]) :: Nat -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (Length ([] :: [a]) :: Nat -> Type) = 0
type Eval (Pure x :: a -> Type) Source # |
Instance details Defined in Fcf.Combinators type Eval (Pure x :: a -> Type) = x
type Eval (Join e :: a -> Type) Source # |
Instance details Defined in Fcf.Combinators type Eval (Join e :: a -> Type) = Eval (Eval e)
type Eval (Error msg :: a -> Type) Source # |
Instance details Defined in Fcf.Utils type Eval (Error msg :: a -> Type) = (TypeError (Text msg) :: a)
type Eval (TError msg :: a -> Type) Source # |
Instance details Defined in Fcf.Utils type Eval (TError msg :: a -> Type) = (TypeError msg :: a)
type Eval (IsRight (Right _a :: Either a b) :: Bool -> Type) Source # |
Instance details Defined in Fcf.Data.Common type Eval (IsRight (Right _a :: Either a b) :: Bool -> Type) = True
type Eval (IsRight (Left _a :: Either a b) :: Bool -> Type) Source # |
Instance details Defined in Fcf.Data.Common type Eval (IsRight (Left _a :: Either a b) :: Bool -> Type) = False
type Eval (IsLeft (Right _a :: Either a b) :: Bool -> Type) Source # |
Instance details Defined in Fcf.Data.Common type Eval (IsLeft (Right _a :: Either a b) :: Bool -> Type) = False
type Eval (IsLeft (Left _a :: Either a b) :: Bool -> Type) Source # |
Instance details Defined in Fcf.Data.Common type Eval (IsLeft (Left _a :: Either a b) :: Bool -> Type) = True
type Eval (Fst ((,) a2 _b) :: a1 -> Type) Source # |
Instance details Defined in Fcf.Data.Common type Eval (Fst ((,) a2 _b) :: a1 -> Type) = a2
type Eval (Snd ((,) _a b) :: a1 -> Type) Source # |
Instance details Defined in Fcf.Data.Common type Eval (Snd ((,) _a b) :: a1 -> Type) = b
type Eval (FromMaybe _a (Just b) :: a -> Type) Source # |
Instance details Defined in Fcf.Data.Common type Eval (FromMaybe _a (Just b) :: a -> Type) = b
type Eval (FromMaybe a2 (Nothing :: Maybe a1) :: a1 -> Type) Source # |
Instance details Defined in Fcf.Data.Common type Eval (FromMaybe a2 (Nothing :: Maybe a1) :: a1 -> Type) = a2
type Eval (TyEq a b :: Bool -> Type) Source # |
Instance details Defined in Fcf.Utils type Eval (TyEq a b :: Bool -> Type)
type Eval (Pure1 f x :: a2 -> Type) Source # |
Instance details Defined in Fcf.Combinators type Eval (Pure1 f x :: a2 -> Type) = f x
type Eval (k =<< e :: a2 -> Type) Source # |
Instance details Defined in Fcf.Combinators type Eval (k =<< e :: a2 -> Type) = Eval (k (Eval e))
type Eval (f <$> e :: a2 -> Type) Source # |
Instance details Defined in Fcf.Combinators type Eval (f <$> e :: a2 -> Type) = f (Eval e)
type Eval (f <*> e :: a2 -> Type) Source # |
Instance details Defined in Fcf.Combinators type Eval (f <*> e :: a2 -> Type) = Eval f (Eval e)
type Eval (ConstFn a2 _b :: a1 -> Type) Source # |
Instance details Defined in Fcf.Combinators type Eval (ConstFn a2 _b :: a1 -> Type) = a2
type Eval (f $ a3 :: a2 -> Type) Source # |
Instance details Defined in Fcf.Combinators type Eval (f $ a3 :: a2 -> Type) = Eval (f a3)
type Eval (Case ms a :: k -> Type) Source # |
Instance details Defined in Fcf.Utils type Eval (Case ms a :: k -> Type)
type Eval (UnBool fal tru True :: a -> Type) Source # |
Instance details Defined in Fcf.Data.Bool type Eval (UnBool fal tru True :: a -> Type) = Eval tru
type Eval (UnBool fal tru False :: a -> Type) Source # |
Instance details Defined in Fcf.Data.Bool type Eval (UnBool fal tru False :: a -> Type) = Eval fal
type Eval (Guarded x ((p := y) ': ys) :: a2 -> Type) Source # |
Instance details Defined in Fcf.Data.Bool type Eval (Guarded x ((p := y) ': ys) :: a2 -> Type) = Eval (If (Eval (p x)) y (Guarded x ys))
type Eval (Uncurry f ((,) x y) :: a2 -> Type) Source # |
Instance details Defined in Fcf.Data.Common type Eval (Uncurry f ((,) x y) :: a2 -> Type) = Eval (f x y)
type Eval (UnMaybe y f (Just x) :: a2 -> Type) Source # |
Instance details Defined in Fcf.Data.Common type Eval (UnMaybe y f (Just x) :: a2 -> Type) = Eval (f x)
type Eval (UnMaybe y f (Nothing :: Maybe a1) :: a2 -> Type) Source # |
Instance details Defined in Fcf.Data.Common type Eval (UnMaybe y f (Nothing :: Maybe a1) :: a2 -> Type) = Eval y
type Eval (Foldr f y (x ': xs) :: a2 -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (Foldr f y (x ': xs) :: a2 -> Type) = Eval (f x (Eval (Foldr f y xs)))
type Eval (Foldr f y ([] :: [a1]) :: a2 -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (Foldr f y ([] :: [a1]) :: a2 -> Type) = y
type Eval (UnList y f xs :: a2 -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (UnList y f xs :: a2 -> Type) = Eval (Foldr f y xs)
type Eval (Pure2 f x y :: a2 -> Type) Source # |
Instance details Defined in Fcf.Combinators type Eval (Pure2 f x y :: a2 -> Type) = f x y
type Eval ((f <=< g) x :: a3 -> Type) Source # |
Instance details Defined in Fcf.Combinators type Eval ((f <=< g) x :: a3 -> Type) = Eval (f (Eval (g x)))
type Eval (LiftM2 f x y :: a3 -> Type) Source # |
Instance details Defined in Fcf.Combinators type Eval (LiftM2 f x y :: a3 -> Type) = Eval (f (Eval x) (Eval y))
type Eval (Flip f y x :: a2 -> Type) Source # |
Instance details Defined in Fcf.Combinators type Eval (Flip f y x :: a2 -> Type) = Eval (f x y)
type Eval (UnEither f g (Right y :: Either a2 b) :: a1 -> Type) Source # |
Instance details Defined in Fcf.Data.Common type Eval (UnEither f g (Right y :: Either a2 b) :: a1 -> Type) = Eval (g y)
type Eval (UnEither f g (Left x :: Either a2 b) :: a1 -> Type) Source # |
Instance details Defined in Fcf.Data.Common type Eval (UnEither f g (Left x :: Either a2 b) :: a1 -> Type) = Eval (f x)
type Eval (Pure3 f x y z :: a2 -> Type) Source # |
Instance details Defined in Fcf.Combinators type Eval (Pure3 f x y z :: a2 -> Type) = f x y z
type Eval (LiftM3 f x y z :: a4 -> Type) Source # |
Instance details Defined in Fcf.Combinators type Eval (LiftM3 f x y z :: a4 -> Type) = Eval (f (Eval x) (Eval y) (Eval z))
type Eval (Init (a2 ': (b ': as)) :: Maybe [a1] -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (Init (a2 ': (b ': as)) :: Maybe [a1] -> Type) = Eval ((Map (Cons a2) :: Maybe [a1] -> Maybe [a1] -> Type) =<< Init (b ': as))
type Eval (Init (a2 ': ([] :: [a1])) :: Maybe [a1] -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (Init (a2 ': ([] :: [a1])) :: Maybe [a1] -> Type) = Just ([] :: [a1])
type Eval (Init ([] :: [a]) :: Maybe [a] -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (Init ([] :: [a]) :: Maybe [a] -> Type) = (Nothing :: Maybe [a])
type Eval (Tail (_a ': as) :: Maybe [a] -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (Tail (_a ': as) :: Maybe [a] -> Type) = Just as
type Eval (Tail ([] :: [a]) :: Maybe [a] -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (Tail ([] :: [a]) :: Maybe [a] -> Type) = (Nothing :: Maybe [a])
type Eval (Head (a2 ': _as) :: Maybe a1 -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (Head (a2 ': _as) :: Maybe a1 -> Type) = Just a2
type Eval (Head ([] :: [a]) :: Maybe a -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (Head ([] :: [a]) :: Maybe a -> Type) = (Nothing :: Maybe a)
type Eval (Last (a2 ': (b ': as)) :: Maybe a1 -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (Last (a2 ': (b ': as)) :: Maybe a1 -> Type) = Eval (Last (b ': as))
type Eval (Last (a2 ': ([] :: [a1])) :: Maybe a1 -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (Last (a2 ': ([] :: [a1])) :: Maybe a1 -> Type) = Just a2
type Eval (Last ([] :: [a]) :: Maybe a -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (Last ([] :: [a]) :: Maybe a -> Type) = (Nothing :: Maybe a)
type Eval (Cons a2 as :: [a1] -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (Cons a2 as :: [a1] -> Type) = a2 ': as
type Eval ((x ': xs) ++ ys :: [a] -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval ((x ': xs) ++ ys :: [a] -> Type) = x ': Eval (xs ++ ys)
type Eval (([] :: [a]) ++ ys :: [a] -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (([] :: [a]) ++ ys :: [a] -> Type) = ys
type Eval (Filter p (a2 ': as) :: [a1] -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (Filter p (a2 ': as) :: [a1] -> Type) = If (Eval (p a2)) (a2 ': Eval (Filter p as)) (Eval (Filter p as))
type Eval (Filter _p ([] :: [a]) :: [a] -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (Filter _p ([] :: [a]) :: [a] -> Type) = ([] :: [a])
type Eval (FindIndex p (a2 ': as) :: Maybe Nat -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (FindIndex p (a2 ': as) :: Maybe Nat -> Type) = Eval (If (Eval (p a2)) (Pure (Just 0)) ((Map ((+) 1) :: Maybe Nat -> Maybe Nat -> Type) =<< FindIndex p as))
type Eval (FindIndex _p ([] :: [a]) :: Maybe Nat -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (FindIndex _p ([] :: [a]) :: Maybe Nat -> Type) = (Nothing :: Maybe Nat)
type Eval (Find p (a2 ': as) :: Maybe a1 -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (Find p (a2 ': as) :: Maybe a1 -> Type) = If (Eval (p a2)) (Just a2) (Eval (Find p as))
type Eval (Find _p ([] :: [a]) :: Maybe a -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (Find _p ([] :: [a]) :: Maybe a -> Type) = (Nothing :: Maybe a)
type Eval (SetIndex n a' as :: [k] -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (SetIndex n a' as :: [k] -> Type)
type Eval (Map f (a2 ': as) :: [b] -> Type) Source # |
Instance details Defined in Fcf.Classes type Eval (Map f (a2 ': as) :: [b] -> Type) = Eval (f a2) ': Eval (Map f as)
type Eval (Map f ([] :: [a]) :: [b] -> Type) Source # |
Instance details Defined in Fcf.Classes type Eval (Map f ([] :: [a]) :: [b] -> Type) = ([] :: [b])
type Eval (Map f (Just a3) :: Maybe a2 -> Type) Source # |
Instance details Defined in Fcf.Classes type Eval (Map f (Just a3) :: Maybe a2 -> Type) = Just (Eval (f a3))
type Eval (Map f (Nothing :: Maybe a) :: Maybe b -> Type) Source # |
Instance details Defined in Fcf.Classes type Eval (Map f (Nothing :: Maybe a) :: Maybe b -> Type) = (Nothing :: Maybe b)
type Eval (ZipWith f (a2 ': as) (b2 ': bs) :: [c] -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (ZipWith f (a2 ': as) (b2 ': bs) :: [c] -> Type) = Eval (f a2 b2) ': Eval (ZipWith f as bs)
type Eval (ZipWith _f _as ([] :: [b]) :: [c] -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (ZipWith _f _as ([] :: [b]) :: [c] -> Type) = ([] :: [c])
type Eval (ZipWith _f ([] :: [a]) _bs :: [c] -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (ZipWith _f ([] :: [a]) _bs :: [c] -> Type) = ([] :: [c])
type Eval (Unzip as :: ([a], [b]) -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (Unzip as :: ([a], [b]) -> Type) = Eval (Foldr (Cons2 :: (a, b) -> ([a], [b]) -> ([a], [b]) -> Type) ((,) ([] :: [a]) ([] :: [b])) (Eval as))
type Eval (Cons2 ((,) a3 b) ((,) as bs) :: ([a2], [a1]) -> Type) Source # |
Instance details Defined in Fcf.Data.List type Eval (Cons2 ((,) a3 b) ((,) as bs) :: ([a2], [a1]) -> Type) = (,) (a3 ': as) (b ': bs)
type Eval (Map f (Right a3 :: Either a2 a1) :: Either a2 b -> Type) Source # |
Instance details Defined in Fcf.Classes type Eval (Map f (Right a3 :: Either a2 a1) :: Either a2 b -> Type) = (Right (Eval (f a3)) :: Either a2 b)
type Eval (Map f (Left x :: Either a2 a1) :: Either a2 b -> Type) Source # |
Instance details Defined in Fcf.Classes type Eval (Map f (Left x :: Either a2 a1) :: Either a2 b -> Type) = (Left x :: Either a2 b)
type Eval (Map f ((,) x a2) :: (k2, k1) -> Type) Source # |
Instance details Defined in Fcf.Classes type Eval (Map f ((,) x a2) :: (k2, k1) -> Type) = (,) x (Eval (f a2))
type Eval ((f *** f') ((,) b2 b'2) :: (k2, k1) -> Type) Source # |
Instance details Defined in Fcf.Data.Common type Eval ((f *** f') ((,) b2 b'2) :: (k2, k1) -> Type) = (,) (Eval (f b2)) (Eval (f' b'2))
type Eval (Bimap f g (Right y :: Either a b1) :: Either a' b2 -> Type) Source # |
Instance details Defined in Fcf.Classes type Eval (Bimap f g (Right y :: Either a b1) :: Either a' b2 -> Type) = (Right (Eval (g y)) :: Either a' b2)
type Eval (Bimap f g (Left x :: Either a1 b) :: Either a2 b' -> Type) Source # |
Instance details Defined in Fcf.Classes type Eval (Bimap f g (Left x :: Either a1 b) :: Either a2 b' -> Type) = (Left (Eval (f x)) :: Either a2 b')
type Eval (Bimap f g ((,) x y) :: (k2, k1) -> Type) Source # |
Instance details Defined in Fcf.Classes type Eval (Bimap f g ((,) x y) :: (k2, k1) -> Type) = (,) (Eval (f x)) (Eval (g y))
type Eval (Map f ((,,) x y a2) :: (k2, k3, k1) -> Type) Source # |
Instance details Defined in Fcf.Classes type Eval (Map f ((,,) x y a2) :: (k2, k3, k1) -> Type) = (,,) x y (Eval (f a2))
type Eval (Map f ((,,,) x y z a2) :: (k2, k3, k4, k1) -> Type) Source # |
Instance details Defined in Fcf.Classes type Eval (Map f ((,,,) x y z a2) :: (k2, k3, k4, k1) -> Type) = (,,,) x y z (Eval (f a2))
type Eval (Map f ((,,,,) x y z w a2) :: (k2, k3, k4, k5, k1) -> Type) Source # |
Instance details Defined in Fcf.Classes type Eval (Map f ((,,,,) x y z w a2) :: (k2, k3, k4, k5, k1) -> Type) = (,,,,) x y z w (Eval (f a2))

type (@@) f x = Eval (f x) Source #

Apply and evaluate a unary type function.