Data.Row

This module includes a set of common functions for Records and Variants. It includes:

• Common constructors, destructors, and querying functions

It specifically excludes:

• Functions that have the same name for Records and Variants (e.g. focus, update, fromLabels, etc.)
• Common clashes with the standard Prelude or other modules (e.g. map, sequence, zip, Map, etc.)

If these particular functions are needed, they should be brought in qualified from one of the Data.Row.*** modules directly.

Types and constraints

data Label (s :: Symbol)

A label

Constructors

Label

Instances

x ≈ y => IsLabel x (Label y)

Defined in Data.Row.Internal

Methods

fromLabel :: Label y

Eq (Label s)

Defined in Data.Row.Internal

Methods

(==) :: Label s -> Label s -> Bool

(/=) :: Label s -> Label s -> Bool

KnownSymbol s => Show (Label s)

Defined in Data.Row.Internal

Methods

showsPrec :: Int -> Label s -> ShowS

show :: Label s -> String

showList :: [Label s] -> ShowS

class KnownSymbol (n :: Symbol)

This class gives the string associated with a type-level symbol. There are instances of the class for every concrete literal: "hello", etc.

Since: base-4.7.0.0

Minimal complete definition

symbolSing

type family AllUniqueLabels (r :: Row k) :: Constraint where ...

Are all of the labels in this Row unique?

Equations

AllUniqueLabels (R r) = AllUniqueLabelsR r

type WellBehaved ρ = (Forall ρ Unconstrained1, AllUniqueLabels ρ)

A convenient way to provide common, easy constraints

data Var (r :: Row *)

The variant type.

Instances

(AllUniqueLabels r, KnownSymbol name, (r .! name) ≈ a, r ≈ ((r .- name) .\/ (name .== a))) => AsConstructor' name (Var r) a

Defined in Data.Row.Variants

Methods

_Ctor' :: Prism (Var r) (Var r) a a

(AllUniqueLabels r, AllUniqueLabels r', KnownSymbol name, (r .! name) ≈ a, (r' .! name) ≈ b, r' ≈ ((r .- name) .\/ (name .== b))) => AsConstructor name (Var r) (Var r') a b

Every possibility of a row-types based variant has an AsConstructor instance.

Defined in Data.Row.Variants

Methods

_Ctor :: Prism (Var r) (Var r') a b

Forall r Eq => Eq (Var r)

Defined in Data.Row.Variants

Methods

(==) :: Var r -> Var r -> Bool

(/=) :: Var r -> Var r -> Bool

(Forall r Eq, Forall r Ord) => Ord (Var r)

Defined in Data.Row.Variants

Methods

compare :: Var r -> Var r -> Ordering

(<) :: Var r -> Var r -> Bool

(<=) :: Var r -> Var r -> Bool

(>) :: Var r -> Var r -> Bool

(>=) :: Var r -> Var r -> Bool

max :: Var r -> Var r -> Var r

min :: Var r -> Var r -> Var r

Forall r Show => Show (Var r)

Defined in Data.Row.Variants

Methods

showsPrec :: Int -> Var r -> ShowS

show :: Var r -> String

showList :: [Var r] -> ShowS

GenericVar r => Generic (Var r)

Defined in Data.Row.Variants

Associated Types

type Rep (Var r) :: Type -> Type

Methods

from :: Var r -> Rep (Var r) x

to :: Rep (Var r) x -> Var r

Forall r NFData => NFData (Var r)

Defined in Data.Row.Variants

Methods

rnf :: Var r -> ()

type Rep (Var r)

Defined in Data.Row.Variants

type Rep (Var r)

data Rec (r :: Row *)

A record with row r.

Instances

(KnownSymbol name, (r .! name) ≈ a, r ~ Modify name a r) => HasField' name (Rec r) a

Defined in Data.Row.Records

Methods

field' :: Lens (Rec r) (Rec r) a a

(KnownSymbol name, (r' .! name) ≈ b, (r .! name) ≈ a, r' ~ Modify name b r, r ~ Modify name a r') => HasField name (Rec r) (Rec r') a b

Every field in a row-types based record has a HasField instance.

Defined in Data.Row.Records

Methods

field :: Lens (Rec r) (Rec r') a b

(Forall r Bounded, AllUniqueLabels r) => Bounded (Rec r)

Defined in Data.Row.Records

Methods

minBound :: Rec r

maxBound :: Rec r

Forall r Eq => Eq (Rec r)

Defined in Data.Row.Records

Methods

(==) :: Rec r -> Rec r -> Bool

(/=) :: Rec r -> Rec r -> Bool

(Forall r Eq, Forall r Ord) => Ord (Rec r)

Defined in Data.Row.Records

Methods

compare :: Rec r -> Rec r -> Ordering

(<) :: Rec r -> Rec r -> Bool

(<=) :: Rec r -> Rec r -> Bool

(>) :: Rec r -> Rec r -> Bool

(>=) :: Rec r -> Rec r -> Bool

max :: Rec r -> Rec r -> Rec r

min :: Rec r -> Rec r -> Rec r

Forall r Show => Show (Rec r)

Defined in Data.Row.Records

Methods

showsPrec :: Int -> Rec r -> ShowS

show :: Rec r -> String

showList :: [Rec r] -> ShowS

GenericRec r => Generic (Rec r)

Defined in Data.Row.Records

Associated Types

type Rep (Rec r) :: Type -> Type

Methods

from :: Rec r -> Rep (Rec r) x

to :: Rep (Rec r) x -> Rec r

Forall r NFData => NFData (Rec r)

Defined in Data.Row.Records

Methods

rnf :: Rec r -> ()

type Rep (Rec r)

Defined in Data.Row.Records

type Rep (Rec r)

data Row a

The kind of rows. This type is only used as a datakind. A row is a typelevel entity telling us which symbols are associated with which types.

type Empty = R '[]

Type level version of empty

type (≈) a b = a ~ b infix 4

A lower fixity operator for type equality

class (r .! l) ≈ a => HasType l a r

Alias for (r .! l) ≈ a. It is a class rather than an alias, so that it can be partially applied.

Instances

(r .! l) ≈ a => HasType l (a :: k) (r :: Row k)

Defined in Data.Row.Internal

class Lacks (l :: Symbol) (r :: Row *)

Alias for .\. It is a class rather than an alias, so that it can be partially applied.

Instances

r .\ l => Lacks l r

Defined in Data.Row.Internal

type family (r :: Row k) .\ (l :: Symbol) :: Constraint where ... infixl 4

Does the row lack (i.e. it does not have) the specified label?

Equations

(R r) .\ l = LacksR l r r

type family (l :: Row k) .+ (r :: Row k) :: Row k where ... infixl 6

Type level Row append

Equations

(R l) .+ (R r) = R (Merge l r)

type family (l :: Row k) .\/ (r :: Row k) where ... infixl 6

The minimum join of the two rows.

Equations

(R l) .\/ (R r) = R (MinJoinR l r)

type family (l :: Row k) .\\ (r :: Row k) :: Row k where ... infixl 6

Type level Row difference. That is, l .\\ r is the row remaining after removing any matching elements of r from l.

Equations

(R l) .\\ (R r) = R (Diff l r)

type family (l :: Row k) .// (r :: Row k) where ... infixl 6

The overwriting union, where the left row overwrites the types of the right row where the labels overlap.

Equations

(R l) .// (R r) = R (ConstUnionR l r)

class BiForall (r1 :: Row k1) (r2 :: Row k2) (c :: k1 -> k2 -> Constraint)

Any structure over two rows in which the elements of each row satisfy some constraints can be metamorphized into another structure over both of the rows.

Minimal complete definition

biMetamorph, biMetamorph'

Instances

(KnownSymbol ℓ, c τ1 τ2, BiForall (R ρ1) (R ρ2) c) => BiForall (R ((ℓ :-> τ1) ': ρ1) :: Row k1) (R ((ℓ :-> τ2) ': ρ2) :: Row k2) (c :: k1 -> k2 -> Constraint)

Defined in Data.Row.Internal

Methods

biMetamorph :: Proxy h -> (f Empty Empty -> g Empty Empty) -> (forall (ℓ0 :: Symbol) (τ10 :: k10) (τ20 :: k20) (ρ10 :: [LT k10]) (ρ20 :: [LT k20]). (KnownSymbol ℓ0, c τ10 τ20) => Label ℓ0 -> f (R ((ℓ0 :-> τ10) ': ρ10)) (R ((ℓ0 :-> τ20) ': ρ20)) -> (h τ10 τ20, f (R ρ10) (R ρ20))) -> (forall (ℓ1 :: Symbol) (τ11 :: k10) (τ21 :: k20) (ρ11 :: [LT k10]) (ρ21 :: [LT k20]). (KnownSymbol ℓ1, c τ11 τ21) => Label ℓ1 -> h τ11 τ21 -> g (R ρ11) (R ρ21) -> g (R ((ℓ1 :-> τ11) ': ρ11)) (R ((ℓ1 :-> τ21) ': ρ21))) -> f (R ((ℓ :-> τ1) ': ρ1)) (R ((ℓ :-> τ2) ': ρ2)) -> g (R ((ℓ :-> τ1) ': ρ1)) (R ((ℓ :-> τ2) ': ρ2))

biMetamorph' :: Proxy h -> (f Empty Empty -> g Empty Empty) -> (forall (ℓ0 :: Symbol) (τ10 :: k10) (τ20 :: k20) (ρ10 :: [LT k10]) (ρ20 :: [LT k20]). (KnownSymbol ℓ0, c τ10 τ20) => Label ℓ0 -> f (R ((ℓ0 :-> τ10) ': ρ10)) (R ((ℓ0 :-> τ20) ': ρ20)) -> Either (h τ10 τ20) (f (R ρ10) (R ρ20))) -> (forall (ℓ1 :: Symbol) (τ11 :: k10) (τ21 :: k20) (ρ11 :: [LT k10]) (ρ21 :: [LT k20]). (KnownSymbol ℓ1, c τ11 τ21) => Label ℓ1 -> Either (h τ11 τ21) (g (R ρ11) (R ρ21)) -> g (R ((ℓ1 :-> τ11) ': ρ11)) (R ((ℓ1 :-> τ21) ': ρ21))) -> f (R ((ℓ :-> τ1) ': ρ1)) (R ((ℓ :-> τ2) ': ρ2)) -> g (R ((ℓ :-> τ1) ': ρ1)) (R ((ℓ :-> τ2) ': ρ2))

BiForall (R ([] :: [LT k1]) :: Row k1) (R ([] :: [LT k2]) :: Row k2) (c1 :: k1 -> k2 -> Constraint)

Defined in Data.Row.Internal

Methods

biMetamorph :: Proxy h -> (f Empty Empty -> g Empty Empty) -> (forall (ℓ :: Symbol) (τ1 :: k10) (τ2 :: k20) (ρ1 :: [LT k10]) (ρ2 :: [LT k20]). (KnownSymbol ℓ, c1 τ1 τ2) => Label ℓ -> f (R ((ℓ :-> τ1) ': ρ1)) (R ((ℓ :-> τ2) ': ρ2)) -> (h τ1 τ2, f (R ρ1) (R ρ2))) -> (forall (ℓ :: Symbol) (τ1 :: k10) (τ2 :: k20) (ρ1 :: [LT k10]) (ρ2 :: [LT k20]). (KnownSymbol ℓ, c1 τ1 τ2) => Label ℓ -> h τ1 τ2 -> g (R ρ1) (R ρ2) -> g (R ((ℓ :-> τ1) ': ρ1)) (R ((ℓ :-> τ2) ': ρ2))) -> f (R []) (R []) -> g (R []) (R [])

biMetamorph' :: Proxy h -> (f Empty Empty -> g Empty Empty) -> (forall (ℓ :: Symbol) (τ1 :: k10) (τ2 :: k20) (ρ1 :: [LT k10]) (ρ2 :: [LT k20]). (KnownSymbol ℓ, c1 τ1 τ2) => Label ℓ -> f (R ((ℓ :-> τ1) ': ρ1)) (R ((ℓ :-> τ2) ': ρ2)) -> Either (h τ1 τ2) (f (R ρ1) (R ρ2))) -> (forall (ℓ :: Symbol) (τ1 :: k10) (τ2 :: k20) (ρ1 :: [LT k10]) (ρ2 :: [LT k20]). (KnownSymbol ℓ, c1 τ1 τ2) => Label ℓ -> Either (h τ1 τ2) (g (R ρ1) (R ρ2)) -> g (R ((ℓ :-> τ1) ': ρ1)) (R ((ℓ :-> τ2) ': ρ2))) -> f (R []) (R []) -> g (R []) (R [])

class Forall (r :: Row k) (c :: k -> Constraint)

Any structure over a row in which every element is similarly constrained can be metamorphized into another structure over the same row.

Minimal complete definition

metamorph, metamorph'

Instances

(KnownSymbol ℓ, c τ, Forall (R ρ) c) => Forall (R ((ℓ :-> τ) ': ρ) :: Row k) (c :: k -> Constraint)

Defined in Data.Row.Internal

Methods

metamorph :: Proxy h -> (f Empty -> g Empty) -> (forall (ℓ0 :: Symbol) (τ0 :: k0) (ρ0 :: [LT k0]). (KnownSymbol ℓ0, c τ0) => Label ℓ0 -> f (R ((ℓ0 :-> τ0) ': ρ0)) -> (h τ0, f (R ρ0))) -> (forall (ℓ1 :: Symbol) (τ1 :: k0) (ρ1 :: [LT k0]). (KnownSymbol ℓ1, c τ1) => Label ℓ1 -> h τ1 -> g (R ρ1) -> g (R ((ℓ1 :-> τ1) ': ρ1))) -> f (R ((ℓ :-> τ) ': ρ)) -> g (R ((ℓ :-> τ) ': ρ))

metamorph' :: Proxy h -> (f Empty -> g Empty) -> (forall (ℓ0 :: Symbol) (τ0 :: k0) (ρ0 :: [LT k0]). (KnownSymbol ℓ0, c τ0) => Label ℓ0 -> f (R ((ℓ0 :-> τ0) ': ρ0)) -> Either (h τ0) (f (R ρ0))) -> (forall (ℓ1 :: Symbol) (τ1 :: k0) (ρ1 :: [LT k0]). (KnownSymbol ℓ1, c τ1) => Label ℓ1 -> Either (h τ1) (g (R ρ1)) -> g (R ((ℓ1 :-> τ1) ': ρ1))) -> f (R ((ℓ :-> τ) ': ρ)) -> g (R ((ℓ :-> τ) ': ρ))

Forall (R ([] :: [LT k]) :: Row k) (c :: k -> Constraint)

Defined in Data.Row.Internal

Methods

metamorph :: Proxy h -> (f Empty -> g Empty) -> (forall (ℓ :: Symbol) (τ :: k0) (ρ :: [LT k0]). (KnownSymbol ℓ, c τ) => Label ℓ -> f (R ((ℓ :-> τ) ': ρ)) -> (h τ, f (R ρ))) -> (forall (ℓ :: Symbol) (τ :: k0) (ρ :: [LT k0]). (KnownSymbol ℓ, c τ) => Label ℓ -> h τ -> g (R ρ) -> g (R ((ℓ :-> τ) ': ρ))) -> f (R []) -> g (R [])

metamorph' :: Proxy h -> (f Empty -> g Empty) -> (forall (ℓ :: Symbol) (τ :: k0) (ρ :: [LT k0]). (KnownSymbol ℓ, c τ) => Label ℓ -> f (R ((ℓ :-> τ) ': ρ)) -> Either (h τ) (f (R ρ))) -> (forall (ℓ :: Symbol) (τ :: k0) (ρ :: [LT k0]). (KnownSymbol ℓ, c τ) => Label ℓ -> Either (h τ) (g (R ρ)) -> g (R ((ℓ :-> τ) ': ρ))) -> f (R []) -> g (R [])

class Switch (v :: Row *) (r :: Row *) x | v x -> r, r x -> v where

A Var and a Rec can combine if their rows line up properly.

Minimal complete definition

switch | caseon

Methods

switch :: Var v -> Rec r -> x

Given a Variant and a Record of functions from each possible value of the variant to a single output type, apply the correct function to the value in the variant.

caseon :: Rec r -> Var v -> x

The same as switch but with the argument order reversed

Instances

(KnownSymbol l, Switch (R v) (R r) b) => Switch (R ((l :-> a) ': v)) (R ((l :-> (a -> b)) ': r)) b

Defined in Data.Row.Switch

Methods

switch :: Var (R ((l :-> a) ': v)) -> Rec (R ((l :-> (a -> b)) ': r)) -> b

caseon :: Rec (R ((l :-> (a -> b)) ': r)) -> Var (R ((l :-> a) ': v)) -> b

Switch (R ([] :: [LT Type])) (R ([] :: [LT Type])) x

Defined in Data.Row.Switch

Methods

switch :: Var (R []) -> Rec (R []) -> x

caseon :: Rec (R []) -> Var (R []) -> x

Record Construction

empty :: Rec Empty

The empty record

type (.==) (l :: Symbol) (a :: k) = Extend l a Empty infix 7

A type level way to create a singleton Row.

(.==) :: KnownSymbol l => Label l -> a -> Rec (l .== a) infix 7

The singleton record

pattern (:==) :: forall l a. KnownSymbol l => Label l -> a -> Rec (l .== a) infix 7

A pattern for the singleton record; can be used to both destruct a record when in a pattern position or construct one in an expression position.

Restriction

type family (r :: Row k) .- (s :: Symbol) :: Row k where ... infixl 6

Type level Row element removal

Equations

(R r) .- l = R (Remove l r)

(.-) :: KnownSymbol l => Rec r -> Label l -> Rec (r .- l) infixl 6

Record restriction. Remove the label l from the record.

Query

type family (r :: Row k) .! (t :: Symbol) :: k where ... infixl 5

Type level label fetching

Equations

(R r) .! l = Get l r

(.!) :: KnownSymbol l => Rec r -> Label l -> r .! l

Record selection

Union

(.+) :: Rec l -> Rec r -> Rec (l .+ r) infixl 6

Record disjoint union (commutative)

type Disjoint l r = (WellBehaved l, WellBehaved r, Subset l (l .+ r), Subset r (l .+ r), ((l .+ r) .\\ l) ≈ r, ((l .+ r) .\\ r) ≈ l)

A type synonym for disjointness.

pattern (:+) :: forall l r. Disjoint l r => Rec l -> Rec r -> Rec (l .+ r) infixl 6

A pattern version of record union, for use in pattern matching.

(.//) :: Rec r -> Rec r' -> Rec (r .// r')

Record overwrite.

The operation r .// r' creates a new record such that:

• Any label that is in both r and r' is in the resulting record with the type and value given by the fields in r,
• Any label that is only found in r is in the resulting record.
• Any label that is only found in r' is in the resulting record.

This can be thought of as r "overwriting" r'.

Variant construction

pattern IsJust :: forall l r. (AllUniqueLabels r, KnownSymbol l) => Label l -> (r .! l) -> Var r

A pattern for variants; can be used to both destruct a variant when in a pattern position or construct one in an expression position.

Expansion

diversify :: forall r' r. Var r -> Var (r .\/ r')

Make the variant arbitrarily more diverse.

Destruction

impossible :: Var Empty -> a

A Variant with no options is uninhabited.

trial :: KnownSymbol l => Var r -> Label l -> Either (r .! l) (Var (r .- l))

Convert a variant into either the value at the given label or a variant without that label. This is the basic variant destructor.

trial' :: KnownSymbol l => Var r -> Label l -> Maybe (r .! l)

A version of trial that ignores the leftover variant.

multiTrial :: forall x y. (AllUniqueLabels x, Forall (y .\\ x) Unconstrained1) => Var y -> Either (Var x) (Var (y .\\ x))

A trial over multiple types

Labels

labels :: forall ρ c s. (IsString s, Forall ρ c) => [s]

Return a list of the labels in a row type.