Copyright	(c) Fumiaki Kinoshita 2018
License	BSD3
Maintainer	Fumiaki Kinoshita <fumiexcel@gmail.com>
Safe Haskell	Trustworthy
Language	Haskell2010

Data.Extensible.Product

Contents

Basic operations
Constrained fold
Constraind fold without proxies
Evaluating
Update
Lookup
Generation

Description

Synopsis

data (s :: [k]) :& (h :: k -> Type)
nil :: '[] :& h
(<:) :: h x -> (xs :& h) -> (x ': xs) :& h
(<!) :: h x -> (xs :& h) -> (x ': xs) :& h
(=<:) :: Wrapper h => Repr h x -> (xs :& h) -> (x ': xs) :& h
hlength :: (xs :& h) -> Int
type family (xs :: [k]) ++ (ys :: [k]) :: [k] where ...
happend :: (xs :& h) -> (ys :& h) -> (xs ++ ys) :& h
hmap :: (forall x. g x -> h x) -> (xs :& g) -> xs :& h
hmapWithIndex :: (forall x. Membership xs x -> g x -> h x) -> (xs :& g) -> xs :& h
hzipWith :: (forall x. f x -> g x -> h x) -> (xs :& f) -> (xs :& g) -> xs :& h
hzipWith3 :: (forall x. f x -> g x -> h x -> i x) -> (xs :& f) -> (xs :& g) -> (xs :& h) -> xs :& i
hfoldMap :: Monoid a => (forall x. h x -> a) -> (xs :& h) -> a
hfoldMapWithIndex :: Monoid a => (forall x. Membership xs x -> g x -> a) -> (xs :& g) -> a
hfoldrWithIndex :: (forall x. Membership xs x -> h x -> r -> r) -> r -> (xs :& h) -> r
hfoldlWithIndex :: (forall x. Membership xs x -> r -> h x -> r) -> r -> (xs :& h) -> r
htraverse :: Applicative f => (forall x. g x -> f (h x)) -> (xs :& g) -> f (xs :& h)
htraverseWithIndex :: Applicative f => (forall x. Membership xs x -> g x -> f (h x)) -> (xs :& g) -> f (xs :& h)
hsequence :: Applicative f => (xs :& Compose f h) -> f (xs :& h)
hmapWithIndexFor :: Forall c xs => proxy c -> (forall x. c x => Membership xs x -> g x -> h x) -> (xs :& g) -> xs :& h
hfoldMapFor :: (Forall c xs, Monoid a) => proxy c -> (forall x. c x => h x -> a) -> (xs :& h) -> a
hfoldMapWithIndexFor :: (Forall c xs, Monoid a) => proxy c -> (forall x. c x => Membership xs x -> h x -> a) -> (xs :& h) -> a
hfoldrWithIndexFor :: forall c xs h r proxy. Forall c xs => proxy c -> (forall x. c x => Membership xs x -> h x -> r -> r) -> r -> (xs :& h) -> r
hfoldlWithIndexFor :: Forall c xs => proxy c -> (forall x. c x => Membership xs x -> r -> h x -> r) -> r -> (xs :& h) -> r
hfoldMapWith :: forall c xs h a. (Forall c xs, Monoid a) => (forall x. c x => h x -> a) -> (xs :& h) -> a
hfoldMapWithIndexWith :: forall c xs h a. (Forall c xs, Monoid a) => (forall x. c x => Membership xs x -> h x -> a) -> (xs :& h) -> a
hfoldrWithIndexWith :: forall c xs h r. Forall c xs => (forall x. c x => Membership xs x -> h x -> r -> r) -> r -> (xs :& h) -> r
hfoldlWithIndexWith :: forall c xs h r. Forall c xs => (forall x. c x => Membership xs x -> r -> h x -> r) -> r -> (xs :& h) -> r
hmapWithIndexWith :: forall c xs g h. Forall c xs => (forall x. c x => Membership xs x -> g x -> h x) -> (xs :& g) -> xs :& h
hforce :: (xs :& h) -> xs :& h
haccumMap :: Foldable f => (a -> xs :/ g) -> (forall x. Membership xs x -> g x -> h x -> h x) -> (xs :& h) -> f a -> xs :& h
haccum :: Foldable f => (forall x. Membership xs x -> g x -> h x -> h x) -> (xs :& h) -> f (xs :/ g) -> xs :& h
hpartition :: (Foldable f, Generate xs) => (a -> xs :/ h) -> f a -> xs :& Compose List h
hlookup :: Membership xs x -> (xs :& h) -> h x
hindex :: (xs :& h) -> Membership xs x -> h x
class Generate (xs :: [k]) where
- henumerate :: (forall (x :: k). Membership xs x -> r -> r) -> r -> r
- hcount :: proxy xs -> Int
- hgenerateList :: Applicative f => (forall (x :: k). Membership xs x -> f (h x)) -> f (HList h xs)
hgenerate :: (Generate xs, Applicative f) => (forall x. Membership xs x -> f (h x)) -> f (xs :& h)
htabulate :: Generate xs => (forall x. Membership xs x -> h x) -> xs :& h
hrepeat :: Generate xs => (forall x. h x) -> xs :& h
hcollect :: (Functor f, Generate xs) => (a -> xs :& h) -> f a -> xs :& Compose f h
hdistribute :: (Functor f, Generate xs) => f (xs :& h) -> xs :& Compose f h
fromHList :: HList h xs -> xs :& h
toHList :: forall h xs. (xs :& h) -> HList h xs
class (ForallF c xs, Generate xs) => Forall (c :: k -> Constraint) (xs :: [k]) where
- henumerateFor :: proxy c -> proxy' xs -> (forall (x :: k). c x => Membership xs x -> r -> r) -> r -> r
- hgenerateListFor :: Applicative f => proxy c -> (forall (x :: k). c x => Membership xs x -> f (h x)) -> f (HList h xs)
hgenerateFor :: (Forall c xs, Applicative f) => proxy c -> (forall x. c x => Membership xs x -> f (h x)) -> f (xs :& h)
htabulateFor :: Forall c xs => proxy c -> (forall x. c x => Membership xs x -> h x) -> xs :& h
hrepeatFor :: Forall c xs => proxy c -> (forall x. c x => h x) -> xs :& h
hgenerateWith :: forall c xs f h. (Forall c xs, Applicative f) => (forall x. c x => Membership xs x -> f (h x)) -> f (xs :& h)
htabulateWith :: forall c xs h. Forall c xs => (forall x. c x => Membership xs x -> h x) -> xs :& h
hrepeatWith :: forall c xs h. Forall c xs => (forall x. c x => h x) -> xs :& h

Basic operations

data (s :: [k]) :& (h :: k -> Type) Source #

The type of extensible products.

(:&) :: [k] -> (k -> Type) -> Type

Instances

Instances details

(Corepresentable p, Comonad (Corep p), Functor f) => Extensible f p ((:&) :: [k] -> (k -> Type) -> Type) Source #
Instance details Defined in Data.Extensible.Struct Associated Types type ExtensibleConstr (:&) xs h x Source # Methods pieceAt :: forall (xs :: [k0]) h (x :: k0). ExtensibleConstr (:&) xs h x => Membership xs x -> Optic' p f (xs :& h) (h x) Source #
(Lookup xs k2 v2, Wrapper h, Repr h v2 ~ a) => HasField (k2 :: k1) (RecordOf h xs) a Source #
Instance details Defined in Data.Extensible.Dictionary Methods getField :: RecordOf h xs -> a #
WrapForall (Lift :: Type -> Constraint) h xs => Lift (xs :& h :: Type) Source #
Instance details Defined in Data.Extensible.Dictionary Methods lift :: Quote m => (xs :& h) -> m Exp # liftTyped :: forall (m :: Type -> Type). Quote m => (xs :& h) -> Code m (xs :& h) #
WrapForall Unbox h (x ': xs) => Vector Vector ((x ': xs) :& h) Source #
Instance details Defined in Data.Extensible.Dictionary Methods basicUnsafeFreeze :: Mutable Vector s ((x ': xs) :& h) -> ST s (Vector ((x ': xs) :& h)) # basicUnsafeThaw :: Vector ((x ': xs) :& h) -> ST s (Mutable Vector s ((x ': xs) :& h)) # basicLength :: Vector ((x ': xs) :& h) -> Int # basicUnsafeSlice :: Int -> Int -> Vector ((x ': xs) :& h) -> Vector ((x ': xs) :& h) # basicUnsafeIndexM :: Vector ((x ': xs) :& h) -> Int -> Box ((x ': xs) :& h) # basicUnsafeCopy :: Mutable Vector s ((x ': xs) :& h) -> Vector ((x ': xs) :& h) -> ST s () # elemseq :: Vector ((x ': xs) :& h) -> ((x ': xs) :& h) -> b -> b #
WrapForall Unbox h (x ': xs) => MVector MVector ((x ': xs) :& h) Source #
Instance details Defined in Data.Extensible.Dictionary Methods basicLength :: MVector s ((x ': xs) :& h) -> Int # basicUnsafeSlice :: Int -> Int -> MVector s ((x ': xs) :& h) -> MVector s ((x ': xs) :& h) # basicOverlaps :: MVector s ((x ': xs) :& h) -> MVector s ((x ': xs) :& h) -> Bool # basicUnsafeNew :: Int -> ST s (MVector s ((x ': xs) :& h)) # basicInitialize :: MVector s ((x ': xs) :& h) -> ST s () # basicUnsafeReplicate :: Int -> ((x ': xs) :& h) -> ST s (MVector s ((x ': xs) :& h)) # basicUnsafeRead :: MVector s ((x ': xs) :& h) -> Int -> ST s ((x ': xs) :& h) # basicUnsafeWrite :: MVector s ((x ': xs) :& h) -> Int -> ((x ': xs) :& h) -> ST s () # basicClear :: MVector s ((x ': xs) :& h) -> ST s () # basicSet :: MVector s ((x ': xs) :& h) -> ((x ': xs) :& h) -> ST s () # basicUnsafeCopy :: MVector s ((x ': xs) :& h) -> MVector s ((x ': xs) :& h) -> ST s () # basicUnsafeMove :: MVector s ((x ': xs) :& h) -> MVector s ((x ': xs) :& h) -> ST s () # basicUnsafeGrow :: MVector s ((x ': xs) :& h) -> Int -> ST s (MVector s ((x ': xs) :& h)) #
WrapForall Arbitrary h xs => Arbitrary (xs :& h) Source #
Instance details Defined in Data.Extensible.Dictionary Methods arbitrary :: Gen (xs :& h) # shrink :: (xs :& h) -> [xs :& h] #
Forall (KeyTargetAre KnownSymbol (Instance1 FromJSON h)) xs => FromJSON (xs :& (Field h :: Assoc Symbol v -> Type)) Source #	`parseJSON Null` is called for missing fields.
Instance details Defined in Data.Extensible.Dictionary Methods parseJSON :: Value -> Parser (xs :& Field h) # parseJSONList :: Value -> Parser [xs :& Field h] # omittedField :: Maybe (xs :& Field h) #
Forall (KeyTargetAre KnownSymbol (Instance1 FromJSON h)) xs => FromJSON (xs :& Nullable (Field h :: Assoc Symbol v -> Type)) Source #
Instance details Defined in Data.Extensible.Dictionary Methods parseJSON :: Value -> Parser (xs :& Nullable (Field h)) # parseJSONList :: Value -> Parser [xs :& Nullable (Field h)] # omittedField :: Maybe (xs :& Nullable (Field h)) #
Forall (KeyTargetAre KnownSymbol (Instance1 ToJSON h)) xs => ToJSON (xs :& (Field h :: Assoc Symbol v -> Type)) Source #
Instance details Defined in Data.Extensible.Dictionary Methods toJSON :: (xs :& Field h) -> Value # toEncoding :: (xs :& Field h) -> Encoding # toJSONList :: [xs :& Field h] -> Value # toEncodingList :: [xs :& Field h] -> Encoding # omitField :: (xs :& Field h) -> Bool #
Forall (KeyTargetAre KnownSymbol (Instance1 ToJSON h)) xs => ToJSON (xs :& Nullable (Field h :: Assoc Symbol v -> Type)) Source #
Instance details Defined in Data.Extensible.Dictionary Methods toJSON :: (xs :& Nullable (Field h)) -> Value # toEncoding :: (xs :& Nullable (Field h)) -> Encoding # toJSONList :: [xs :& Nullable (Field h)] -> Value # toEncodingList :: [xs :& Nullable (Field h)] -> Encoding # omitField :: (xs :& Nullable (Field h)) -> Bool #
(WrapForall Semigroup h xs, WrapForall Monoid h xs) => Monoid (xs :& h) Source #
Instance details Defined in Data.Extensible.Dictionary Methods mempty :: xs :& h # mappend :: (xs :& h) -> (xs :& h) -> xs :& h # mconcat :: [xs :& h] -> xs :& h #
WrapForall Semigroup h xs => Semigroup (xs :& h) Source #
Instance details Defined in Data.Extensible.Dictionary Methods (<>) :: (xs :& h) -> (xs :& h) -> xs :& h # sconcat :: NonEmpty (xs :& h) -> xs :& h # stimes :: Integral b => b -> (xs :& h) -> xs :& h #
WrapForall Bounded h xs => Bounded (xs :& h) Source #
Instance details Defined in Data.Extensible.Dictionary Methods minBound :: xs :& h # maxBound :: xs :& h #
WrapForall Show h xs => Show (xs :& h) Source #
Instance details Defined in Data.Extensible.Dictionary Methods showsPrec :: Int -> (xs :& h) -> ShowS # show :: (xs :& h) -> String # showList :: [xs :& h] -> ShowS #
Forall (KeyTargetAre KnownSymbol (Instance1 FromField h)) xs => FromNamedRecord (xs :& (Field h :: Assoc Symbol v -> Type)) Source #
Instance details Defined in Data.Extensible.Dictionary Methods parseNamedRecord :: NamedRecord -> Parser (xs :& Field h) #
WrapForall FromField h xs => FromRecord (xs :& h) Source #
Instance details Defined in Data.Extensible.Dictionary Methods parseRecord :: Record -> Parser (xs :& h) #
Forall (KeyTargetAre KnownSymbol (Instance1 ToField h)) xs => ToNamedRecord (xs :& (Field h :: Assoc Symbol v -> Type)) Source #
Instance details Defined in Data.Extensible.Dictionary Methods toNamedRecord :: (xs :& Field h) -> NamedRecord #
WrapForall ToField h xs => ToRecord (xs :& h) Source #
Instance details Defined in Data.Extensible.Dictionary Methods toRecord :: (xs :& h) -> Record #
WrapForall NFData h xs => NFData (xs :& h) Source #
Instance details Defined in Data.Extensible.Dictionary Methods rnf :: (xs :& h) -> () #
WrapForall Eq h xs => Eq (xs :& h) Source #
Instance details Defined in Data.Extensible.Dictionary Methods (==) :: (xs :& h) -> (xs :& h) -> Bool # (/=) :: (xs :& h) -> (xs :& h) -> Bool #
(Eq (xs :& h), WrapForall Ord h xs) => Ord (xs :& h) Source #
Instance details Defined in Data.Extensible.Dictionary Methods compare :: (xs :& h) -> (xs :& h) -> Ordering # (<) :: (xs :& h) -> (xs :& h) -> Bool # (<=) :: (xs :& h) -> (xs :& h) -> Bool # (>) :: (xs :& h) -> (xs :& h) -> Bool # (>=) :: (xs :& h) -> (xs :& h) -> Bool # max :: (xs :& h) -> (xs :& h) -> xs :& h # min :: (xs :& h) -> (xs :& h) -> xs :& h #
(WrapForall Eq h xs, WrapForall Hashable h xs) => Hashable (xs :& h) Source #
Instance details Defined in Data.Extensible.Dictionary Methods hashWithSalt :: Int -> (xs :& h) -> Int # hash :: (xs :& h) -> Int #
WrapForall Incremental h xs => Incremental (xs :& h) Source #
Instance details Defined in Data.Extensible.Dictionary Associated Types type Delta (xs :& h) # Methods patch :: (xs :& h) -> Delta (xs :& h) -> xs :& h # diff :: (xs :& h) -> (xs :& h) -> Maybe (Delta (xs :& h)) #
WrapForall Pretty h xs => Pretty (xs :& h) Source #
Instance details Defined in Data.Extensible.Dictionary Methods pretty :: (xs :& h) -> Doc ann # prettyList :: [xs :& h] -> Doc ann #
WrapForall Unbox h (x ': xs) => Unbox ((x ': xs) :& h) Source #
Instance details Defined in Data.Extensible.Dictionary
Forall (KeyIs KnownSymbol :: Assoc Symbol v -> Constraint) xs => DefaultOrdered (RecordOf h xs) Source #
Instance details Defined in Data.Extensible.Dictionary Methods headerOrder :: RecordOf h xs -> Header #
type ExtensibleConstr ((:&) :: [k] -> (k -> Type) -> Type) (xs :: [k]) (h :: k -> Type) (x :: k) Source #
Instance details Defined in Data.Extensible.Struct type ExtensibleConstr ((:&) :: [k] -> (k -> Type) -> Type) (xs :: [k]) (h :: k -> Type) (x :: k) = ()
newtype MVector s (xs :& h) Source #
Instance details Defined in Data.Extensible.Dictionary newtype MVector s (xs :& h) = MV_Product (xs :& Compose (MVector s) h)
type Delta (xs :& h) Source #
Instance details Defined in Data.Extensible.Dictionary type Delta (xs :& h) = xs :& WrapDelta h
newtype Vector (xs :& h) Source #
Instance details Defined in Data.Extensible.Dictionary newtype Vector (xs :& h) = V_Product (xs :& Compose Vector h)

nil :: '[] :& h Source #

An empty product.

(<:) :: h x -> (xs :& h) -> (x ': xs) :& h infixr 0 Source #

O(n) Prepend an element onto a product. Expressions like a <: b <: c <: nil are transformed to a single fromHList.

(<!) :: h x -> (xs :& h) -> (x ': xs) :& h infixr 0 Source #

Strict version of (<:).

(=<:) :: Wrapper h => Repr h x -> (xs :& h) -> (x ': xs) :& h infixr 0 Source #

hlength :: (xs :& h) -> Int Source #

The size of a product.

type family (xs :: [k]) ++ (ys :: [k]) :: [k] where ... infixr 5 Source #

Concatenate type level lists

Equations

'[] ++ ys = ys
(x ': xs) ++ ys = x ': (xs ++ ys)

happend :: (xs :& h) -> (ys :& h) -> (xs ++ ys) :& h infixr 5 Source #

Combine products.

hmap :: (forall x. g x -> h x) -> (xs :& g) -> xs :& h Source #

Transform every element in a product, preserving the order.

hmap id ≡ id
hmap (f . g) ≡ hmap f . hmap g

hmapWithIndex :: (forall x. Membership xs x -> g x -> h x) -> (xs :& g) -> xs :& h Source #

Map a function to every element of a product.

hzipWith :: (forall x. f x -> g x -> h x) -> (xs :& f) -> (xs :& g) -> xs :& h Source #

zipWith for heterogeneous product

hzipWith3 :: (forall x. f x -> g x -> h x -> i x) -> (xs :& f) -> (xs :& g) -> (xs :& h) -> xs :& i Source #

zipWith3 for heterogeneous product

hfoldMap :: Monoid a => (forall x. h x -> a) -> (xs :& h) -> a Source #

Map elements to a monoid and combine the results.

hfoldMap f . hmap g ≡ hfoldMap (f . g)

hfoldMapWithIndex :: Monoid a => (forall x. Membership xs x -> g x -> a) -> (xs :& g) -> a Source #

hfoldMap with the membership of elements.

hfoldrWithIndex :: (forall x. Membership xs x -> h x -> r -> r) -> r -> (xs :& h) -> r Source #

Right-associative fold of a product.

hfoldlWithIndex :: (forall x. Membership xs x -> r -> h x -> r) -> r -> (xs :& h) -> r Source #

Perform a strict left fold over the elements.

htraverse :: Applicative f => (forall x. g x -> f (h x)) -> (xs :& g) -> f (xs :& h) Source #

Traverse all elements and combine the result sequentially. htraverse (fmap f . g) ≡ fmap (hmap f) . htraverse g htraverse pure ≡ pure htraverse (Compose . fmap g . f) ≡ Compose . fmap (htraverse g) . htraverse f

htraverseWithIndex :: Applicative f => (forall x. Membership xs x -> g x -> f (h x)) -> (xs :& g) -> f (xs :& h) Source #

htraverse with Memberships.

hsequence :: Applicative f => (xs :& Compose f h) -> f (xs :& h) Source #

sequence analog for extensible products

Constrained fold

hmapWithIndexFor :: Forall c xs => proxy c -> (forall x. c x => Membership xs x -> g x -> h x) -> (xs :& g) -> xs :& h Source #

Map a function to every element of a product.

hfoldMapFor :: (Forall c xs, Monoid a) => proxy c -> (forall x. c x => h x -> a) -> (xs :& h) -> a Source #

Constrained hfoldMap

hfoldMapWithIndexFor :: (Forall c xs, Monoid a) => proxy c -> (forall x. c x => Membership xs x -> h x -> a) -> (xs :& h) -> a Source #

hfoldMapWithIndex with a constraint for each element.

hfoldrWithIndexFor :: forall c xs h r proxy. Forall c xs => proxy c -> (forall x. c x => Membership xs x -> h x -> r -> r) -> r -> (xs :& h) -> r Source #

hfoldrWithIndex with a constraint for each element.

hfoldlWithIndexFor :: Forall c xs => proxy c -> (forall x. c x => Membership xs x -> r -> h x -> r) -> r -> (xs :& h) -> r Source #

Constrained hfoldlWithIndex

Constraind fold without proxies

hfoldMapWith :: forall c xs h a. (Forall c xs, Monoid a) => (forall x. c x => h x -> a) -> (xs :& h) -> a Source #

Constrained hfoldMap

hfoldMapWithIndexWith :: forall c xs h a. (Forall c xs, Monoid a) => (forall x. c x => Membership xs x -> h x -> a) -> (xs :& h) -> a Source #

hfoldMapWithIndex with a constraint for each element.

hfoldrWithIndexWith :: forall c xs h r. Forall c xs => (forall x. c x => Membership xs x -> h x -> r -> r) -> r -> (xs :& h) -> r Source #

hfoldlWithIndexWith :: forall c xs h r. Forall c xs => (forall x. c x => Membership xs x -> r -> h x -> r) -> r -> (xs :& h) -> r Source #

Constrained hfoldlWithIndex

hmapWithIndexWith :: forall c xs g h. Forall c xs => (forall x. c x => Membership xs x -> g x -> h x) -> (xs :& g) -> xs :& h Source #

Evaluating

hforce :: (xs :& h) -> xs :& h Source #

Evaluate every element in a product.

Update

haccumMap :: Foldable f => (a -> xs :/ g) -> (forall x. Membership xs x -> g x -> h x -> h x) -> (xs :& h) -> f a -> xs :& h Source #

Accumulate sums on a product.

haccum :: Foldable f => (forall x. Membership xs x -> g x -> h x -> h x) -> (xs :& h) -> f (xs :/ g) -> xs :& h Source #

haccum = haccumMap id

hpartition :: (Foldable f, Generate xs) => (a -> xs :/ h) -> f a -> xs :& Compose List h Source #

Group sums by type.

Lookup

hlookup :: Membership xs x -> (xs :& h) -> h x Source #

Get an element in a product.

hindex :: (xs :& h) -> Membership xs x -> h x Source #

Flipped hlookup

Generation

class Generate (xs :: [k]) where #

Every type-level list is an instance of Generate.

Methods

henumerate :: (forall (x :: k). Membership xs x -> r -> r) -> r -> r #

Enumerate all possible Memberships of xs.

hcount :: proxy xs -> Int #

Count the number of memberships.

hgenerateList :: Applicative f => (forall (x :: k). Membership xs x -> f (h x)) -> f (HList h xs) #

Enumerate Memberships and construct an HList.

Instances

Instances details

Generate ('[] :: [k])
Instance details Defined in Type.Membership Methods henumerate :: (forall (x :: k0). Membership '[] x -> r -> r) -> r -> r # hcount :: proxy '[] -> Int # hgenerateList :: Applicative f => (forall (x :: k0). Membership '[] x -> f (h x)) -> f (HList h '[]) #
Generate xs => Generate (x ': xs :: [k])
Instance details Defined in Type.Membership Methods henumerate :: (forall (x0 :: k0). Membership (x ': xs) x0 -> r -> r) -> r -> r # hcount :: proxy (x ': xs) -> Int # hgenerateList :: Applicative f => (forall (x0 :: k0). Membership (x ': xs) x0 -> f (h x0)) -> f (HList h (x ': xs)) #

hgenerate :: (Generate xs, Applicative f) => (forall x. Membership xs x -> f (h x)) -> f (xs :& h) Source #

Applicative version of htabulate.

htabulate :: Generate xs => (forall x. Membership xs x -> h x) -> xs :& h Source #

Construct a product using a function which takes a Membership.

hmap f (htabulate g) ≡ htabulate (f . g)
htabulate (hindex m) ≡ m
hindex (htabulate k) ≡ k

hrepeat :: Generate xs => (forall x. h x) -> xs :& h Source #

A product filled with the specified value.

hcollect :: (Functor f, Generate xs) => (a -> xs :& h) -> f a -> xs :& Compose f h Source #

The dual of htraverse

hdistribute :: (Functor f, Generate xs) => f (xs :& h) -> xs :& Compose f h Source #

The dual of hsequence

fromHList :: HList h xs -> xs :& h Source #

Convert HList into a product.

toHList :: forall h xs. (xs :& h) -> HList h xs Source #

Convert a product into an HList.

class (ForallF c xs, Generate xs) => Forall (c :: k -> Constraint) (xs :: [k]) where #

Every element in xs satisfies c

Methods

henumerateFor :: proxy c -> proxy' xs -> (forall (x :: k). c x => Membership xs x -> r -> r) -> r -> r #

Enumerate all possible Memberships of xs with an additional context.

hgenerateListFor :: Applicative f => proxy c -> (forall (x :: k). c x => Membership xs x -> f (h x)) -> f (HList h xs) #

Instances

Instances details

Forall (c :: k -> Constraint) ('[] :: [k])
Instance details Defined in Type.Membership Methods henumerateFor :: proxy c -> proxy' '[] -> (forall (x :: k0). c x => Membership '[] x -> r -> r) -> r -> r # hgenerateListFor :: Applicative f => proxy c -> (forall (x :: k0). c x => Membership '[] x -> f (h x)) -> f (HList h '[]) #
(c x, Forall c xs) => Forall (c :: a -> Constraint) (x ': xs :: [a])
Instance details Defined in Type.Membership Methods henumerateFor :: proxy c -> proxy' (x ': xs) -> (forall (x0 :: k). c x0 => Membership (x ': xs) x0 -> r -> r) -> r -> r # hgenerateListFor :: Applicative f => proxy c -> (forall (x0 :: k). c x0 => Membership (x ': xs) x0 -> f (h x0)) -> f (HList h (x ': xs)) #

hgenerateFor :: (Forall c xs, Applicative f) => proxy c -> (forall x. c x => Membership xs x -> f (h x)) -> f (xs :& h) Source #

Applicative version of htabulateFor.

htabulateFor :: Forall c xs => proxy c -> (forall x. c x => Membership xs x -> h x) -> xs :& h Source #

Pure version of hgenerateFor.

hrepeatFor :: Forall c xs => proxy c -> (forall x. c x => h x) -> xs :& h Source #

A product filled with the specified value.

hgenerateWith :: forall c xs f h. (Forall c xs, Applicative f) => (forall x. c x => Membership xs x -> f (h x)) -> f (xs :& h) Source #

Applicative version of htabulateFor.

htabulateWith :: forall c xs h. Forall c xs => (forall x. c x => Membership xs x -> h x) -> xs :& h Source #

Pure version of hgenerateFor.

hrepeatWith :: forall c xs h. Forall c xs => (forall x. c x => h x) -> xs :& h Source #

A product filled with the specified value.