Fcf.Core

The Eval family.

Documentation

type Exp a = a -> Type

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

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

Expression evaluator.

Instances

type Eval (Not False)

Defined in Fcf.Data.Bool

type Eval (Not False) = True

type Eval (Not True)

Defined in Fcf.Data.Bool

type Eval (Not True) = False

type Eval (Constraints (a ': as) :: Constraint -> Type)

Defined in Fcf.Utils

type Eval (Constraints (a ': as) :: Constraint -> Type) = (a, Eval (Constraints as))

type Eval (Constraints ([] :: [Constraint]))

Defined in Fcf.Utils

type Eval (Constraints ([] :: [Constraint])) = ()

type Eval (IsJust (Nothing :: Maybe a) :: Bool -> Type)

Defined in Fcf.Data.Common

type Eval (IsJust (Nothing :: Maybe a) :: Bool -> Type) = False

type Eval (IsJust (Just _a) :: Bool -> Type)

Defined in Fcf.Data.Common

type Eval (IsJust (Just _a) :: Bool -> Type) = True

type Eval (IsNothing (Nothing :: Maybe a) :: Bool -> Type)

Defined in Fcf.Data.Common

type Eval (IsNothing (Nothing :: Maybe a) :: Bool -> Type) = True

type Eval (IsNothing (Just _a) :: Bool -> Type)

Defined in Fcf.Data.Common

type Eval (IsNothing (Just _a) :: Bool -> Type) = False

type Eval (False && b :: Bool -> Type)

Defined in Fcf.Data.Bool

type Eval (False && b :: Bool -> Type) = False

type Eval (True && b :: Bool -> Type)

Defined in Fcf.Data.Bool

type Eval (True && b :: Bool -> Type) = b

type Eval (a && True :: Bool -> Type)

Defined in Fcf.Data.Bool

type Eval (a && True :: Bool -> Type) = a

type Eval (a && False :: Bool -> Type)

Defined in Fcf.Data.Bool

type Eval (a && False :: Bool -> Type) = False

type Eval (False || b :: Bool -> Type)

Defined in Fcf.Data.Bool

type Eval (False || b :: Bool -> Type) = b

type Eval (True || b :: Bool -> Type)

Defined in Fcf.Data.Bool

type Eval (True || b :: Bool -> Type) = True

type Eval (a || False :: Bool -> Type)

Defined in Fcf.Data.Bool

type Eval (a || False :: Bool -> Type) = a

type Eval (a || True :: Bool -> Type)

Defined in Fcf.Data.Bool

type Eval (a || True :: Bool -> Type) = True

type Eval (a > b :: Bool -> Type)

Defined in Fcf.Data.Nat

type Eval (a > b :: Bool -> Type) = Eval (Not =<< (a <= b))

type Eval (a < b :: Bool -> Type)

Defined in Fcf.Data.Nat

type Eval (a < b :: Bool -> Type) = Eval (Not =<< (a >= b))

type Eval (a >= b :: Bool -> Type)

Defined in Fcf.Data.Nat

type Eval (a >= b :: Bool -> Type) = b <=? a

type Eval (a <= b :: Bool -> Type)

Defined in Fcf.Data.Nat

type Eval (a <= b :: Bool -> Type) = a <=? b

type Eval (Null (a2 ': as) :: Bool -> Type)

Defined in Fcf.Data.List

type Eval (Null (a2 ': as) :: Bool -> Type) = False

type Eval (Null ([] :: [a]) :: Bool -> Type)

Defined in Fcf.Data.List

type Eval (Null ([] :: [a]) :: Bool -> Type) = True

type Eval (a ^ b :: Nat -> Type)

Defined in Fcf.Data.Nat

type Eval (a ^ b :: Nat -> Type) = a ^ b

type Eval (a * b :: Nat -> Type)

Defined in Fcf.Data.Nat

type Eval (a * b :: Nat -> Type) = a * b

type Eval (a - b :: Nat -> Type)

Defined in Fcf.Data.Nat

type Eval (a - b :: Nat -> Type) = a - b

type Eval (a + b :: Nat -> Type)

Defined in Fcf.Data.Nat

type Eval (a + b :: Nat -> Type) = a + b

type Eval (Length (a2 ': as) :: Nat -> Type)

Defined in Fcf.Data.List

type Eval (Length (a2 ': as) :: Nat -> Type) = 1 + Eval (Length as)

type Eval (Length ([] :: [a]) :: Nat -> Type)

Defined in Fcf.Data.List

type Eval (Length ([] :: [a]) :: Nat -> Type) = 0

type Eval (Pure x :: a -> Type)

Defined in Fcf.Combinators

type Eval (Pure x :: a -> Type) = x

type Eval (Join e :: a -> Type)

Defined in Fcf.Combinators

type Eval (Join e :: a -> Type) = Eval (Eval e)

type Eval (Error msg :: a -> Type)

Defined in Fcf.Utils

type Eval (Error msg :: a -> Type) = (TypeError (Text msg) :: a)

type Eval (TError msg :: a -> Type)

Defined in Fcf.Utils

type Eval (TError msg :: a -> Type) = (TypeError msg :: a)

type Eval (IsRight (Right _a :: Either a b) :: Bool -> Type)

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)

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)

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)

Defined in Fcf.Data.Common

type Eval (IsLeft (Left _a :: Either a b) :: Bool -> Type) = True

type Eval (Elem a2 as :: Bool -> Type)

Defined in Fcf.Data.List

type Eval (Elem a2 as :: Bool -> Type) = Eval ((IsJust :: Maybe Nat -> Bool -> Type) =<< FindIndex (TyEq a2 :: a1 -> Bool -> Type) as)

type Eval (Fst ((,) a2 _b) :: a1 -> Type)

Defined in Fcf.Data.Common

type Eval (Fst ((,) a2 _b) :: a1 -> Type) = a2

type Eval (Snd ((,) _a b) :: a1 -> Type)

Defined in Fcf.Data.Common

type Eval (Snd ((,) _a b) :: a1 -> Type) = b

type Eval (FromMaybe _a (Just b) :: a -> Type)

Defined in Fcf.Data.Common

type Eval (FromMaybe _a (Just b) :: a -> Type) = b

type Eval (FromMaybe a2 (Nothing :: Maybe a1) :: a1 -> Type)

Defined in Fcf.Data.Common

type Eval (FromMaybe a2 (Nothing :: Maybe a1) :: a1 -> Type) = a2

type Eval (TyEq a b :: Bool -> Type)

Defined in Fcf.Utils

type Eval (TyEq a b :: Bool -> Type)

type Eval (Pure1 f x :: a2 -> Type)

Defined in Fcf.Combinators

type Eval (Pure1 f x :: a2 -> Type) = f x

type Eval (k =<< e :: a2 -> Type)

Defined in Fcf.Combinators

type Eval (k =<< e :: a2 -> Type) = Eval (k (Eval e))

type Eval (f <$> e :: a2 -> Type)

Defined in Fcf.Combinators

type Eval (f <$> e :: a2 -> Type) = f (Eval e)

type Eval (f <*> e :: a2 -> Type)

Defined in Fcf.Combinators

type Eval (f <*> e :: a2 -> Type) = Eval f (Eval e)

type Eval (ConstFn a2 _b :: a1 -> Type)

Defined in Fcf.Combinators

type Eval (ConstFn a2 _b :: a1 -> Type) = a2

type Eval (f $ a3 :: a2 -> Type)

Defined in Fcf.Combinators

type Eval (f $ a3 :: a2 -> Type) = Eval (f a3)

type Eval (Case ms a :: k -> Type)

Defined in Fcf.Utils

type Eval (Case ms a :: k -> Type)

type Eval (UnBool fal tru True :: a -> Type)

Defined in Fcf.Data.Bool

type Eval (UnBool fal tru True :: a -> Type) = Eval tru

type Eval (UnBool fal tru False :: a -> Type)

Defined in Fcf.Data.Bool

type Eval (UnBool fal tru False :: a -> Type) = Eval fal

type Eval (Guarded x ((p := y) ': ys) :: a2 -> Type)

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)

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)

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)

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)

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)

Defined in Fcf.Data.List

type Eval (Foldr f y ([] :: [a1]) :: a2 -> Type) = y

type Eval (UnList y f xs :: a2 -> Type)

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)

Defined in Fcf.Combinators

type Eval (Pure2 f x y :: a2 -> Type) = f x y

type Eval ((f <=< g) x :: a3 -> Type)

Defined in Fcf.Combinators

type Eval ((f <=< g) x :: a3 -> Type) = Eval (f (Eval (g x)))

type Eval (LiftM2 f x y :: a3 -> Type)

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)

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)

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)

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)

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)

Defined in Fcf.Combinators

type Eval (LiftM3 f x y z :: a4 -> Type) = Eval (f (Eval x) (Eval y) (Eval z))

type Eval (Concat lsts :: [a] -> Type)

Defined in Fcf.Data.List

type Eval (Concat lsts :: [a] -> Type) = Eval (Foldr ((++) :: [a] -> [a] -> [a] -> Type) ([] :: [a]) lsts)

type Eval (Reverse l :: [a] -> Type)

Defined in Fcf.Data.List

type Eval (Reverse l :: [a] -> Type)

type Eval (Init (a2 ': (b ': as)) :: Maybe [a1] -> Type)

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)

Defined in Fcf.Data.List

type Eval (Init (a2 ': ([] :: [a1])) :: Maybe [a1] -> Type) = Just ([] :: [a1])

type Eval (Init ([] :: [a]) :: Maybe [a] -> Type)

Defined in Fcf.Data.List

type Eval (Init ([] :: [a]) :: Maybe [a] -> Type) = (Nothing :: Maybe [a])

type Eval (Tail (_a ': as) :: Maybe [a] -> Type)

Defined in Fcf.Data.List

type Eval (Tail (_a ': as) :: Maybe [a] -> Type) = Just as

type Eval (Tail ([] :: [a]) :: Maybe [a] -> Type)

Defined in Fcf.Data.List

type Eval (Tail ([] :: [a]) :: Maybe [a] -> Type) = (Nothing :: Maybe [a])

type Eval (Head (a2 ': _as) :: Maybe a1 -> Type)

Defined in Fcf.Data.List

type Eval (Head (a2 ': _as) :: Maybe a1 -> Type) = Just a2

type Eval (Head ([] :: [a]) :: Maybe a -> Type)

Defined in Fcf.Data.List

type Eval (Head ([] :: [a]) :: Maybe a -> Type) = (Nothing :: Maybe a)

type Eval (Last (a2 ': (b ': as)) :: Maybe a1 -> Type)

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)

Defined in Fcf.Data.List

type Eval (Last (a2 ': ([] :: [a1])) :: Maybe a1 -> Type) = Just a2

type Eval (Last ([] :: [a]) :: Maybe a -> Type)

Defined in Fcf.Data.List

type Eval (Last ([] :: [a]) :: Maybe a -> Type) = (Nothing :: Maybe a)

type Eval (Cons a2 as :: [a1] -> Type)

Defined in Fcf.Data.List

type Eval (Cons a2 as :: [a1] -> Type) = a2 ': as

type Eval ((x ': xs) ++ ys :: [a] -> Type)

Defined in Fcf.Data.List

type Eval ((x ': xs) ++ ys :: [a] -> Type) = x ': Eval (xs ++ ys)

type Eval (([] :: [a]) ++ ys :: [a] -> Type)

Defined in Fcf.Data.List

type Eval (([] :: [a]) ++ ys :: [a] -> Type) = ys

type Eval (Filter p (a2 ': as) :: [a1] -> Type)

Defined in Fcf.Data.List

type Eval (Filter p (a2 ': as) :: [a1] -> Type) = Eval (If (Eval (p a2)) ((:) a2 <$> Filter p as) (Filter p as))

type Eval (Filter _p ([] :: [a]) :: [a] -> Type)

Defined in Fcf.Data.List

type Eval (Filter _p ([] :: [a]) :: [a] -> Type) = ([] :: [a])

type Eval (Replicate n a2 :: [a1] -> Type)

Defined in Fcf.Data.List

type Eval (Replicate n a2 :: [a1] -> Type)

type Eval (Take n as :: [a] -> Type)

Defined in Fcf.Data.List

type Eval (Take n as :: [a] -> Type)

type Eval (Drop n as :: [a] -> Type)

Defined in Fcf.Data.List

type Eval (Drop n as :: [a] -> Type)

type Eval (TakeWhile p (x ': xs) :: [a] -> Type)

Defined in Fcf.Data.List

type Eval (TakeWhile p (x ': xs) :: [a] -> Type) = Eval (If (Eval (p x)) ((:) x <$> TakeWhile p xs) (Pure ([] :: [a])))

type Eval (TakeWhile p ([] :: [a]) :: [a] -> Type)

Defined in Fcf.Data.List

type Eval (TakeWhile p ([] :: [a]) :: [a] -> Type) = ([] :: [a])

type Eval (DropWhile p (x ': xs) :: [a] -> Type)

Defined in Fcf.Data.List

type Eval (DropWhile p (x ': xs) :: [a] -> Type) = Eval (If (Eval (p x)) (DropWhile p xs) (Pure (x ': xs)))

type Eval (DropWhile p ([] :: [a]) :: [a] -> Type)

Defined in Fcf.Data.List

type Eval (DropWhile p ([] :: [a]) :: [a] -> Type) = ([] :: [a])

type Eval (FindIndex p (a2 ': as) :: Maybe Nat -> Type)

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)

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)

Defined in Fcf.Data.List

type Eval (Find p (a2 ': as) :: Maybe a1 -> Type) = Eval (If (Eval (p a2)) (Pure (Just a2)) (Find p as))

type Eval (Find _p ([] :: [a]) :: Maybe a -> Type)

Defined in Fcf.Data.List

type Eval (Find _p ([] :: [a]) :: Maybe a -> Type) = (Nothing :: Maybe a)

type Eval (Zip as bs :: [(a, b)] -> Type)

Defined in Fcf.Data.List

type Eval (Zip as bs :: [(a, b)] -> Type) = Eval (ZipWith (Pure2 ((,) :: a -> b -> (a, b))) as bs)

type Eval (Unfoldr f c :: [a] -> Type)

Defined in Fcf.Data.List

type Eval (Unfoldr f c :: [a] -> Type)

type Eval (ConcatMap f lst :: [a2] -> Type)

Defined in Fcf.Data.List

type Eval (ConcatMap f lst :: [a2] -> Type) = Eval (Concat (Eval (Map f lst)))

type Eval (SetIndex n a' as :: [k] -> Type)

Defined in Fcf.Data.List

type Eval (SetIndex n a' as :: [k] -> Type)

type Eval (Lookup a as :: Maybe b -> Type)

Defined in Fcf.Data.List

type Eval (Lookup a as :: Maybe b -> Type) = Eval (Map (Snd :: (k, b) -> b -> Type) (Eval (Find ((TyEq a :: k -> Bool -> Type) <=< (Fst :: (k, b) -> k -> Type)) as)))

type Eval (Map f (a2 ': as) :: [b] -> Type)

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)

Defined in Fcf.Classes

type Eval (Map f ([] :: [a]) :: [b] -> Type) = ([] :: [b])

type Eval (Map f (Just a3) :: Maybe a2 -> Type)

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)

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)

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)

Defined in Fcf.Data.List

type Eval (ZipWith _f _as ([] :: [b]) :: [c] -> Type) = ([] :: [c])

type Eval (ZipWith _f ([] :: [a]) _bs :: [c] -> Type)

Defined in Fcf.Data.List

type Eval (ZipWith _f ([] :: [a]) _bs :: [c] -> Type) = ([] :: [c])

type Eval (Unzip as :: ([a], [b]) -> Type)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

Apply and evaluate a unary type function.