Safe Haskell	None
Language	Haskell2010

Data.Vinyl.TypeLevel

Synopsis

data Nat
- = Z
- | S !Nat
class NatToInt (n :: Nat) where
- natToInt :: Int
class IndexWitnesses (is :: [Nat]) where
- indexWitnesses :: [Int]
type family Fst (a :: (k1, k2)) where ...
type family Snd (a :: (k1, k2)) where ...
type family RLength xs where ...
type family RIndex (r :: k) (rs :: [k]) :: Nat where ...
type family RImage (rs :: [k]) (ss :: [k]) :: [Nat] where ...
type family RDelete r rs where ...
type family RecAll (f :: u -> *) (rs :: [u]) (c :: * -> Constraint) :: Constraint where ...
type family (as :: [k]) ++ (bs :: [k]) :: [k] where ...
type family AllConstrained (c :: u -> Constraint) (ts :: [u]) :: Constraint where ...
class AllSatisfied cs t
type family AllAllSat cs ts :: Constraint where ...
type family ApplyToField (t :: Type -> Type) (a :: k1) = (r :: k1) | r -> t a where ...
type family MapTyCon t xs = r | r -> xs where ...

Documentation

data Nat Source #

A mere approximation of the natural numbers. And their image as lifted by -XDataKinds corresponds to the actual natural numbers.

Constructors

Z
S !Nat

Instances

RecSubset (Rec :: (k -> Type) -> [k] -> Type) ([] :: [k]) (ss :: [k]) ([] :: [Nat]) Source #
Instance details Defined in Data.Vinyl.Lens Associated Types type RecSubsetFCtx Rec f :: Constraint Source # Methods rsubsetC :: (Functor g, RecSubsetFCtx Rec f) => (Rec f [] -> g (Rec f [])) -> Rec f ss -> g (Rec f ss) Source # rcastC :: RecSubsetFCtx Rec f => Rec f ss -> Rec f [] Source # rreplaceC :: RecSubsetFCtx Rec f => Rec f [] -> Rec f ss -> Rec f ss Source #
(RElem r ss i, RSubset rs ss is) => RecSubset (Rec :: (k -> Type) -> [k] -> Type) (r ': rs :: [k]) (ss :: [k]) (i ': is) Source #
Instance details Defined in Data.Vinyl.Lens Associated Types type RecSubsetFCtx Rec f :: Constraint Source # Methods rsubsetC :: (Functor g, RecSubsetFCtx Rec f) => (Rec f (r ': rs) -> g (Rec f (r ': rs))) -> Rec f ss -> g (Rec f ss) Source # rcastC :: RecSubsetFCtx Rec f => Rec f ss -> Rec f (r ': rs) Source # rreplaceC :: RecSubsetFCtx Rec f => Rec f (r ': rs) -> Rec f ss -> Rec f ss Source #
IndexWitnesses ([] :: [Nat]) Source #
Instance details Defined in Data.Vinyl.TypeLevel Methods indexWitnesses :: [Int] Source #
(IndexWitnesses is, NatToInt i) => IndexWitnesses (i ': is) Source #
Instance details Defined in Data.Vinyl.TypeLevel Methods indexWitnesses :: [Int] Source #

class NatToInt (n :: Nat) where Source #

Produce a runtime Int value corresponding to a Nat type.

Methods

natToInt :: Int Source #

Instances

NatToInt Z Source #
Instance details Defined in Data.Vinyl.TypeLevel Methods natToInt :: Int Source #
NatToInt n => NatToInt (S n) Source #
Instance details Defined in Data.Vinyl.TypeLevel Methods natToInt :: Int Source #

class IndexWitnesses (is :: [Nat]) where Source #

Reify a list of type-level natural number indices as runtime Ints relying on instances of NatToInt.

Methods

indexWitnesses :: [Int] Source #

Instances

IndexWitnesses ([] :: [Nat]) Source #
Instance details Defined in Data.Vinyl.TypeLevel Methods indexWitnesses :: [Int] Source #
(IndexWitnesses is, NatToInt i) => IndexWitnesses (i ': is) Source #
Instance details Defined in Data.Vinyl.TypeLevel Methods indexWitnesses :: [Int] Source #

type family Fst (a :: (k1, k2)) where ... Source #

Project the first component of a type-level tuple.

Equations

Fst '(x, y) = x

type family Snd (a :: (k1, k2)) where ... Source #

Project the second component of a type-level tuple.

Equations

Snd '(x, y) = y

type family RLength xs where ... Source #

Equations

RLength '[] = Z
RLength (x ': xs) = S (RLength xs)

type family RIndex (r :: k) (rs :: [k]) :: Nat where ... Source #

A partial relation that gives the index of a value in a list.

Equations

RIndex r (r ': rs) = Z
RIndex r (s ': rs) = S (RIndex r rs)

type family RImage (rs :: [k]) (ss :: [k]) :: [Nat] where ... Source #

A partial relation that gives the indices of a sublist in a larger list.

Equations

RImage '[] ss = '[]
RImage (r ': rs) ss = RIndex r ss ': RImage rs ss

type family RDelete r rs where ... Source #

Remove the first occurence of a type from a type-level list.

Equations

RDelete r (r ': rs) = rs
RDelete r (s ': rs) = s ': RDelete r rs

type family RecAll (f :: u -> *) (rs :: [u]) (c :: * -> Constraint) :: Constraint where ... Source #

A constraint-former which applies to every field in a record.

Equations

RecAll f '[] c = ()
RecAll f (r ': rs) c = (c (f r), RecAll f rs c)

type family (as :: [k]) ++ (bs :: [k]) :: [k] where ... Source #

Append for type-level lists.

Equations

'[] ++ bs = bs
(a ': as) ++ bs = a ': (as ++ bs)

type family AllConstrained (c :: u -> Constraint) (ts :: [u]) :: Constraint where ... Source #

Constraint that all types in a type-level list satisfy a constraint.

Equations

AllConstrained c '[] = ()
AllConstrained c (t ': ts) = (c t, AllConstrained c ts)

class AllSatisfied cs t Source #

Constraint that each Constraint in a type-level list is satisfied by a particular type.

Instances

AllSatisfied ([] :: [k1]) (t :: k2) Source #
Instance details Defined in Data.Vinyl.TypeLevel
(c t, AllSatisfied cs t) => AllSatisfied (c ': cs :: [k -> Constraint]) (t :: k) Source #
Instance details Defined in Data.Vinyl.TypeLevel

type family AllAllSat cs ts :: Constraint where ... Source #

Constraint that all types in a type-level list satisfy each constraint from a list of constraints.

AllAllSat cs ts should be equivalent to AllConstrained (AllSatisfied cs) ts if partial application of type families were legal.

Equations

AllAllSat cs '[] = ()
AllAllSat cs (t ': ts) = (AllSatisfied cs t, AllAllSat cs ts)

type family ApplyToField (t :: Type -> Type) (a :: k1) = (r :: k1) | r -> t a where ... Source #

Apply a type constructor to a record index. Record indexes are either Type or (Symbol, Type). In the latter case, the type constructor is applied to the second component of the tuple.

Equations

ApplyToField t '(s, x) = '(s, t x)
ApplyToField t x = t x

type family MapTyCon t xs = r | r -> xs where ... Source #

Apply a type constructor to each element of a type level list using ApplyOn.

Equations

MapTyCon t '[] = '[]
MapTyCon t (x ': xs) = ApplyToField t x ': MapTyCon t xs