Data.Row.Records

row-types-1.0.1.2: Open Records and Variants

Safe Haskell | None
Language | Haskell2010

Data.Row.Records

Contents

- Types and constraints
- Construction
  - Extension
  - Restriction
  - Modification
- Query
- Combine
  - Disjoint union
  - Overwrite
- Application with functions
- Native Conversion
- Dynamic Conversion
- Row operations
  - Map
  - Fold
  - Zip
  - Applicative-like functions
  - Compose
  - Labels
  - Coerce

Description

This module implements extensible records using closed type famillies.

See Examples.lhs for examples.

Lists of (label,type) pairs are kept sorted thereby ensuring that { x = 0, y = 0 } and { y = 0, x = 0 } have the same type.

In this way we can implement standard type classes such as Show, Eq, Ord and Bounded for open records, given that all the elements of the open record satify the constraint.

Synopsis

- data Label (s :: Symbol) = Label
- class KnownSymbol (n :: Symbol)
- type family AllUniqueLabels (r :: Row k) where ...
- type WellBehaved (ρ :: Row k) = (Forall ρ (Unconstrained1 :: k -> Constraint), AllUniqueLabels ρ)
- data Rec (r :: Row Type)
- data Row a
- type Empty = 'R ('[] :: [LT a])
- type (≈) (a :: k) (b :: k) = a ~ b
- empty :: Rec (Empty :: Row Type)
- type (.==) (l :: Symbol) (a :: k) = Extend l a (Empty :: Row k)
- (.==) :: forall (l :: Symbol) a. KnownSymbol l => Label l -> a -> Rec (l .== a)
- pattern (:==) :: forall (l :: Symbol) a. KnownSymbol l => Label l -> a -> Rec (l .== a)
- unSingleton :: forall (l :: Symbol) a. KnownSymbol l => Rec (l .== a) -> (Label l, a)
- default' :: forall c (ρ :: Row Type). (Forall ρ c, AllUniqueLabels ρ) => (forall a. c a => a) -> Rec ρ
- defaultA :: forall c f (ρ :: Row Type). (Applicative f, Forall ρ c, AllUniqueLabels ρ) => (forall a. c a => f a) -> f (Rec ρ)
- fromLabels :: forall c (ρ :: Row Type). (Forall ρ c, AllUniqueLabels ρ) => (forall (l :: Symbol) a. (KnownSymbol l, c a) => Label l -> a) -> Rec ρ
- fromLabelsA :: forall c f (ρ :: Row Type). (Applicative f, Forall ρ c, AllUniqueLabels ρ) => (forall (l :: Symbol) a. (KnownSymbol l, c a) => Label l -> f a) -> f (Rec ρ)
- fromLabelsMapA :: forall {a} c f g (ρ :: Row a). (Applicative f, Forall ρ c, AllUniqueLabels ρ) => (forall (l :: Symbol) (a1 :: a). (KnownSymbol l, c a1) => Label l -> f (g a1)) -> f (Rec (Map g ρ))
- extend :: forall a (l :: Symbol) (r :: Row Type). KnownSymbol l => Label l -> a -> Rec r -> Rec (Extend l a r)
- type family Extend (l :: Symbol) (a :: k) (r :: Row k) :: Row k where ...
- class Lacks (l :: Symbol) (r :: Row Type)
- type family (r :: Row k) .\ (l :: Symbol) where ...
- type family (r :: Row k) .- (s :: Symbol) :: Row k where ...
- (.-) :: forall (l :: Symbol) (r :: Row Type). KnownSymbol l => Rec r -> Label l -> Rec (r .- l)
- lazyRemove :: forall (l :: Symbol) (r :: Row Type). KnownSymbol l => Label l -> Rec r -> Rec (r .- l)
- type family Subset (r1 :: Row k) (r2 :: Row k) where ...
- restrict :: forall (r :: Row Type) (r' :: Row Type). (FreeForall r, Subset r r') => Rec r' -> Rec r
- split :: forall (s :: Row Type) (r :: Row Type). (Subset s r, FreeForall s) => Rec r -> (Rec s, Rec (r .\\ s))
- update :: forall (l :: Symbol) (r :: Row Type) a. (KnownSymbol l, (r .! l) ≈ a) => Label l -> a -> Rec r -> Rec r
- focus :: forall (l :: Symbol) (r' :: Row Type) b (r :: Row Type) a f. (KnownSymbol l, (r' .! l) ≈ b, (r .! l) ≈ a, r' ~ Modify l b r, r ~ Modify l a r', Functor f) => Label l -> (a -> f b) -> Rec r -> f (Rec r')
- multifocus :: forall (u :: Row Type) (v :: Row Type) (r :: Row Type) f. (Functor f, Disjoint u r, Disjoint v r) => (Rec u -> f (Rec v)) -> Rec (u .+ r) -> f (Rec (v .+ r))
- type family Modify (l :: Symbol) (a :: k) (r :: Row k) :: Row k where ...
- rename :: forall (l :: Symbol) (l' :: Symbol) (r :: Row Type). (KnownSymbol l, KnownSymbol l') => Label l -> Label l' -> Rec r -> Rec (Rename l l' r)
- type family Rename (l :: Symbol) (l' :: Symbol) (r :: Row k) :: Row k where ...
- class (r .! l) ≈ a => HasType (l :: Symbol) (a :: k) (r :: Row k)
- type family (r :: Row k) .! (t :: Symbol) :: k where ...
- (.!) :: forall (l :: Symbol) (r :: Row Type). KnownSymbol l => Rec r -> Label l -> r .! l
- type family (l :: Row k) .+ (r :: Row k) :: Row k where ...
- (.+) :: forall (l :: Row Type) (r :: Row Type). FreeForall l => Rec l -> Rec r -> Rec (l .+ r)
- type Disjoint (l :: Row k) (r :: Row k) = (WellBehaved l, WellBehaved r, Subset l (l .+ r), Subset r (l .+ r), ((l .+ r) .\\ l) ≈ r, ((l .+ r) .\\ r) ≈ l)
- pattern (:+) :: Disjoint l r => Rec l -> Rec r -> Rec (l .+ r)
- type family (l :: Row k) .// (r :: Row k) :: Row k where ...
- (.//) :: forall (r :: Row Type) (r' :: Row Type). Rec r -> Rec r' -> Rec (r .// r')
- curryRec :: forall (l :: Symbol) t (r :: Row Type) x. KnownSymbol l => Label l -> (Rec ((l .== t) .+ r) -> x) -> t -> Rec r -> x
- (.$) :: forall (l :: Symbol) (r' :: Row Type) t (r :: Row Type) x. (KnownSymbol l, (r' .! l) ≈ t) => (Rec ((l .== t) .+ r) -> x) -> (Label l, Rec r') -> Rec r -> x
- fromNative :: FromNative t => t -> Rec (NativeRow t)
- toNative :: ToNative t => Rec (NativeRow t) -> t
- toNativeGeneral :: forall t (ρ :: Row Type). ToNativeGeneral t ρ => Rec ρ -> t
- type FromNative t = (Generic t, FromNativeG (Rep t))
- type ToNative t = (Generic t, ToNativeG (Rep t))
- type ToNativeGeneral t (ρ :: Row Type) = (Generic t, ToNativeGeneralG (Rep t) ρ)
- type family NativeRow t :: Row Type where ...
- toDynamicMap :: forall (r :: Row Type). Forall r (Typeable :: Type -> Constraint) => Rec r -> HashMap Text Dynamic
- fromDynamicMap :: forall (r :: Row Type). (AllUniqueLabels r, Forall r (Typeable :: Type -> Constraint)) => HashMap Text Dynamic -> Maybe (Rec r)
- type family Map (f :: a -> b) (r :: Row a) :: Row b where ...
- map :: forall c f (r :: Row Type). Forall r c => (forall a. c a => a -> f a) -> Rec r -> Rec (Map f r)
- map' :: forall f (r :: Row Type). FreeForall r => (forall a. a -> f a) -> Rec r -> Rec (Map f r)
- mapF :: forall k c (g :: k -> k) (ϕ :: Row (k -> Type)) (ρ :: Row k). BiForall ϕ ρ c => (forall (h :: k -> Type) (a :: k). c h a => h a -> h (g a)) -> Rec (Ap ϕ ρ) -> Rec (Ap ϕ (Map g ρ))
- transform :: forall {a} c (r :: Row a) f g. Forall r c => (forall (a1 :: a). c a1 => f a1 -> g a1) -> Rec (Map f r) -> Rec (Map g r)
- transform' :: forall {a} (r :: Row a) f g. FreeForall r => (forall (a1 :: a). f a1 -> g a1) -> Rec (Map f r) -> Rec (Map g r)
- zipTransform :: forall {a} c (r :: Row a) f g h. Forall r c => (forall (a1 :: a). c a1 => f a1 -> g a1 -> h a1) -> Rec (Map f r) -> Rec (Map g r) -> Rec (Map h r)
- zipTransform' :: forall {a} (r :: Row a) f g h. FreeForall r => (forall (a1 :: a). f a1 -> g a1 -> h a1) -> Rec (Map f r) -> Rec (Map g r) -> Rec (Map h r)
- class BiForall (r1 :: Row k1) (r2 :: Row k2) (c :: k1 -> k2 -> Constraint)
- class Forall (r :: Row k) (c :: k -> Constraint)
- erase :: forall c (ρ :: Row Type) b. Forall ρ c => (forall a. c a => a -> b) -> Rec ρ -> [b]
- eraseWithLabels :: forall c (ρ :: Row Type) s b. (Forall ρ c, IsString s) => (forall a. c a => a -> b) -> Rec ρ -> [(s, b)]
- eraseZip :: forall c (ρ :: Row Type) b. Forall ρ c => (forall a. c a => a -> a -> b) -> Rec ρ -> Rec ρ -> [b]
- eraseToHashMap :: forall c (r :: Row Type) s b. (IsString s, Eq s, Hashable s, Forall r c) => (forall a. c a => a -> b) -> Rec r -> HashMap s b
- type family Zip (r1 :: Row Type) (r2 :: Row Type) :: Row Type where ...
- zip :: forall (r1 :: Row Type) (r2 :: Row Type). FreeBiForall r1 r2 => Rec r1 -> Rec r2 -> Rec (Zip r1 r2)
- traverse :: forall c f (r :: Row Type). (Forall r c, Applicative f) => (forall a. c a => a -> f a) -> Rec r -> f (Rec r)
- traverseMap :: forall {a} c f g h (r :: Row a). (Forall r c, Applicative f) => (forall (a1 :: a). c a1 => g a1 -> f (h a1)) -> Rec (Map g r) -> f (Rec (Map h r))
- sequence :: forall f (r :: Row Type). (Applicative f, FreeForall r) => Rec (Map f r) -> f (Rec r)
- sequence' :: forall f (r :: Row Type) (c :: Type -> Constraint). (Forall r c, Applicative f) => Rec (Map f r) -> f (Rec r)
- distribute :: forall f (r :: Row Type). (FreeForall r, Functor f) => f (Rec r) -> Rec (Map f r)
- compose :: forall {k} {a} (f :: k -> Type) (g :: a -> k) (r :: Row a). FreeForall r => Rec (Map f (Map g r)) -> Rec (Map (Compose f g) r)
- uncompose :: forall {b} {a} (f :: b -> Type) (g :: a -> b) (r :: Row a). FreeForall r => Rec (Map (Compose f g) r) -> Rec (Map f (Map g r))
- compose' :: forall {a} {k} (c :: a -> Constraint) (f :: k -> Type) (g :: a -> k) (r :: Row a). Forall r c => Rec (Map f (Map g r)) -> Rec (Map (Compose f g) r)
- uncompose' :: forall {a} {b} (c :: a -> Constraint) (f :: b -> Type) (g :: a -> b) (r :: Row a). Forall r c => Rec (Map (Compose f g) r) -> Rec (Map f (Map g r))
- labels :: forall {k} (ρ :: Row k) (c :: k -> Constraint) s. (IsString s, Forall ρ c) => [s]
- labels' :: forall {k} (ρ :: Row k) s. (IsString s, Forall ρ (Unconstrained1 :: k -> Constraint)) => [s]
- coerceRec :: forall (r1 :: Row Type) (r2 :: Row Type). BiForall r1 r2 (Coercible :: Type -> Type -> Constraint) => Rec r1 -> Rec r2

# Types and constraints

data Label (s :: Symbol) #

A label

Constructors

Label |

#### Instances

Instances details

x ≈ y => IsLabel x (Label y) # |
Instance details Defined in Data.Row.Internal Methods fromLabel :: Label y #
KnownSymbol s => Show (Label s) # |
Instance details Defined in Data.Row.Internal Methods showsPrec :: Int -> Label s -> ShowS # show :: Label s -> String # showList :: [Label s] -> ShowS #
Eq (Label s) # |
Instance details Defined in Data.Row.Internal Methods (==) :: Label s -> Label s -> Bool # (/=) :: Label s -> Label s -> Bool #

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) where ... #

Are all of the labels in this Row unique?

Equations

AllUniqueLabels ('R r :: Row k) = AllUniqueLabelsR r |

type WellBehaved (ρ :: Row k) = (Forall ρ (Unconstrained1 :: k -> Constraint), AllUniqueLabels ρ) #

A convenient way to provide common, easy constraints

data Rec (r :: Row Type) #

A record with row r.

#### Instances

Instances details

(KnownSymbol name, (r .! name) ≈ a, r ~ Modify name a r) => HasField' name (Rec r) a # |
Instance details 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.
Instance details Defined in Data.Row.Records Methods field :: Lens (Rec r) (Rec r') a b #
Forall r NFData => NFData (Rec r) # |
Instance details Defined in Data.Row.Records Methods rnf :: Rec r -> () #
(Forall r Bounded, AllUniqueLabels r) => Bounded (Rec r) # |
Instance details Defined in Data.Row.Records Methods minBound :: Rec r # maxBound :: Rec r #
GenericRec r => Generic (Rec r) # |
Instance details Defined in Data.Row.Records Associated Types
type Rep (Rec r) |
Instance details Defined in Data.Row.Records type Rep (Rec r)
Methods from :: Rec r -> Rep (Rec r) x # to :: Rep (Rec r) x -> Rec r #
Forall r Show => Show (Rec r) # |
Instance details Defined in Data.Row.Records Methods showsPrec :: Int -> Rec r -> ShowS # show :: Rec r -> String # showList :: [Rec r] -> ShowS #
Forall r Eq => Eq (Rec r) # |
Instance details 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) # |
Instance details 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 #
type Rep (Rec r) # |
Instance details 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 ('[] :: [LT a]) #

Type level version of `empty`

type (≈) (a :: k) (b :: k) = a ~ b infix 4 #

A lower fixity operator for type equality

# Construction

empty :: Rec (Empty :: Row Type) #

The empty record

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

A type level way to create a singleton Row.

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

The singleton record

pattern (:==) :: forall (l :: Symbol) 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.

unSingleton :: forall (l :: Symbol) a. KnownSymbol l => Rec (l .== a) -> (Label l, a) #

Turns a singleton record into a pair of the label and value.

default' :: forall c (ρ :: Row Type). (Forall ρ c, AllUniqueLabels ρ) => (forall a. c a => a) -> Rec ρ #

Initialize a record with a default value at each label.

defaultA :: forall c f (ρ :: Row Type). (Applicative f, Forall ρ c, AllUniqueLabels ρ) => (forall a. c a => f a) -> f (Rec ρ) #

Initialize a record with a default value at each label; works over an `Applicative`.

fromLabels :: forall c (ρ :: Row Type). (Forall ρ c, AllUniqueLabels ρ) => (forall (l :: Symbol) a. (KnownSymbol l, c a) => Label l -> a) -> Rec ρ #

Initialize a record, where each value is determined by the given function over the label at that value.

fromLabelsA :: forall c f (ρ :: Row Type). (Applicative f, Forall ρ c, AllUniqueLabels ρ) => (forall (l :: Symbol) a. (KnownSymbol l, c a) => Label l -> f a) -> f (Rec ρ) #

Initialize a record, where each value is determined by the given function over the label at that value. This function works over an `Applicative`.

fromLabelsMapA :: forall {a} c f g (ρ :: Row a). (Applicative f, Forall ρ c, AllUniqueLabels ρ) => (forall (l :: Symbol) (a1 :: a). (KnownSymbol l, c a1) => Label l -> f (g a1)) -> f (Rec (Map g ρ)) #

Initialize a record over a `Map`.

## Extension

extend :: forall a (l :: Symbol) (r :: Row Type). KnownSymbol l => Label l -> a -> Rec r -> Rec (Extend l a r) #

Record extension. The row may already contain the label, in which case the origin value can be obtained after restriction (`.-`) with the label.

type family Extend (l :: Symbol) (a :: k) (r :: Row k) :: Row k where ... #

Type level Row extension

Equations

Extend l (a2 :: a1) ('R ('[] :: [LT a1]) :: Row a1) = 'R '[l ':-> a2] |
Extend l (a2 :: a1) ('R x :: Row a1) = 'R (Inject (l ':-> a2) x) |

class Lacks (l :: Symbol) (r :: Row Type) #

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

#### Instances

Instances details

r .\ l => Lacks l r # |
Instance details Defined in Data.Row.Internal

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

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

Equations

('R ('[] :: [LT k]) :: Row k) .\ l = Unconstrained |
('R r :: Row k) .\ l = LacksR l r r |

## Restriction

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

Type level Row element removal

Equations

('R r :: Row a) .- l = 'R (Remove l r) |

(.-) :: forall (l :: Symbol) (r :: Row Type). KnownSymbol l => Rec r -> Label l -> Rec (r .- l) infixl 6 #

Record restriction. Remove the label l from the record.

lazyRemove :: forall (l :: Symbol) (r :: Row Type). KnownSymbol l => Label l -> Rec r -> Rec (r .- l) #

Removes a label from the record but does not remove the underlying value.

This is faster than regular record removal (`.-`), but it has two downsides:

1. It may incur a performance penalty during a future merge operation (`.+`), and
2. It will keep the reference to the value alive, meaning that it will not get garbage collected.

Thus, it's great when one knows ahead of time that no future merges will happen and that the whole record will be GC'd soon, for instance, during the catamorphism function of `metamorph`.

type family Subset (r1 :: Row k) (r2 :: Row k) where ... #

Is the first row a subset of the second? Or, does the second row contain every binding that the first one does?

Equations

Subset ('R ('[] :: [LT k]) :: Row k) (r :: Row k) = Unconstrained |
Subset ('R ((l ':-> a) ': x) :: Row k) (r :: Row k) = ((r .! l) ≈ a, Subset ('R x) r) |

restrict :: forall (r :: Row Type) (r' :: Row Type). (FreeForall r, Subset r r') => Rec r' -> Rec r #

Arbitrary record restriction. Turn a record into a subset of itself.

split :: forall (s :: Row Type) (r :: Row Type). (Subset s r, FreeForall s) => Rec r -> (Rec s, Rec (r .\\ s)) #

Split a record into two sub-records.

## Modification

update :: forall (l :: Symbol) (r :: Row Type) a. (KnownSymbol l, (r .! l) ≈ a) => Label l -> a -> Rec r -> Rec r #

Update the value associated with the label.

focus :: forall (l :: Symbol) (r' :: Row Type) b (r :: Row Type) a f. (KnownSymbol l, (r' .! l) ≈ b, (r .! l) ≈ a, r' ~ Modify l b r, r ~ Modify l a r', Functor f) => Label l -> (a -> f b) -> Rec r -> f (Rec r') #

Focus on the value associated with the label.

multifocus :: forall (u :: Row Type) (v :: Row Type) (r :: Row Type) f. (Functor f, Disjoint u r, Disjoint v r) => (Rec u -> f (Rec v)) -> Rec (u .+ r) -> f (Rec (v .+ r)) #

Focus on a sub-record

type family Modify (l :: Symbol) (a :: k) (r :: Row k) :: Row k where ... #

Type level Row modification

Equations

Modify l (a2 :: a1) ('R ρ :: Row a1) = 'R (ModifyR l a2 ρ) |

rename :: forall (l :: Symbol) (l' :: Symbol) (r :: Row Type). (KnownSymbol l, KnownSymbol l') => Label l -> Label l' -> Rec r -> Rec (Rename l l' r) #

Rename a label.

type family Rename (l :: Symbol) (l' :: Symbol) (r :: Row k) :: Row k where ... #

Type level row renaming

Equations

Rename l l' (r :: Row k) = Extend l' (r .! l) (r .- l) |

# Query

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

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

#### Instances

Instances details

(r .! l) ≈ a => HasType l (a :: k) (r :: Row k) # |
Instance details Defined in Data.Row.Internal

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

Type level label fetching

Equations

('R r :: Row k) .! l = Get l r |

(.!) :: forall (l :: Symbol) (r :: Row Type). KnownSymbol l => Rec r -> Label l -> r .! l #

Record selection

# Combine

## Disjoint union

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

Type level Row append

Equations

(x :: Row k) .+ ('R ('[] :: [LT k]) :: Row k) = x |
('R ('[] :: [LT k]) :: Row k) .+ (y :: Row k) = y |
(x :: Row k) .+ ('R '[l ':-> a] :: Row k) = Extend l a x |
('R '[l ':-> a] :: Row k) .+ (y :: Row k) = Extend l a y |
('R l :: Row a) .+ ('R r :: Row a) = 'R (Merge l r) |

(.+) :: forall (l :: Row Type) (r :: Row Type). FreeForall l => Rec l -> Rec r -> Rec (l .+ r) infixl 6 #

Record disjoint union (commutative)

type Disjoint (l :: Row k) (r :: Row k) = (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 (:+) :: Disjoint l r => Rec l -> Rec r -> Rec (l .+ r) infixl 6 #

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

## Overwrite

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

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

Equations

(x :: Row k) .// ('R ('[] :: [LT k]) :: Row k) = x |
('R ('[] :: [LT k]) :: Row k) .// (y :: Row k) = y |
('R l :: Row a) .// ('R r :: Row a) = 'R (ConstUnionR l r) |

(.//) :: forall (r :: Row Type) (r' :: Row Type). Rec r -> Rec r' -> Rec (r .// r') infixl 6 #

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'`.

# Application with functions

curryRec :: forall (l :: Symbol) t (r :: Row Type) x. KnownSymbol l => Label l -> (Rec ((l .== t) .+ r) -> x) -> t -> Rec r -> x #

Kind of like `curry` for functions over records.

(.$) :: forall (l :: Symbol) (r' :: Row Type) t (r :: Row Type) x. (KnownSymbol l, (r' .! l) ≈ t) => (Rec ((l .== t) .+ r) -> x) -> (Label l, Rec r') -> Rec r -> x infixl 2 #

This function allows one to do partial application on a function of a record. Note that this also means that arguments can be supplied in arbitrary order. For instance, if one had a function like

    xtheny r = (r .! #x) <> (r .! #y)

and a record like

    greeting = #x .== "hello " .+ #y .== "world!"

Then all of the following would be possible:

    >>> xtheny greeting
    "hello world!"

    >>> xtheny .$ (#x, greeting) .$ (#y, greeting) $ empty
    "hello world!"

    >>> xtheny .$ (#y, greeting) .$ (#x, greeting) $ empty
    "hello world!"

    >>> xtheny .$ (#y, greeting) .$ (#x, #x .== "Goodbye ") $ empty
    "Goodbye world!"

# Native Conversion

The `toNative` and `fromNative` functions allow one to convert between `Rec`s and regular Haskell data types ("native" types) that have a single constructor and any number of named fields with the same names and types as the `Rec`. As expected, they compose to form the identity. Alternatively, one may use `toNativeGeneral`, which allows fields to be dropped when a record has excess fields compared to the native type. Because of this, `toNativeGeneral` requires a type application (although `fromNative` does not). The only requirement is that the native Haskell data type be an instance of `Generic`.

For example, consider the following simple data type:

    >>> data Person = Person { name :: String, age :: Int} deriving (Generic, Show)

Then, we have the following:

    >>> toNative @Person $ #name .== "Alice" .+ #age .== 7 .+ #hasDog .== True
    Person {name = "Alice", age = 7}
    >>> fromNative $ Person "Bob" 9
    { age=9, name="Bob" }

fromNative :: FromNative t => t -> Rec (NativeRow t) #

Convert a Haskell record to a row-types Rec.

toNative :: ToNative t => Rec (NativeRow t) -> t #

Convert a record to an exactly matching native Haskell type.

toNativeGeneral :: forall t (ρ :: Row Type). ToNativeGeneral t ρ => Rec ρ -> t #

Convert a record to a native Haskell type.

type FromNative t = (Generic t, FromNativeG (Rep t)) #

type ToNative t = (Generic t, ToNativeG (Rep t)) #

type ToNativeGeneral t (ρ :: Row Type) = (Generic t, ToNativeGeneralG (Rep t) ρ) #

type family NativeRow t :: Row Type where ... #

Equations

NativeRow t = NativeRowG (Rep t) |

# Dynamic Conversion

toDynamicMap :: forall (r :: Row Type). Forall r (Typeable :: Type -> Constraint) => Rec r -> HashMap Text Dynamic #

Converts a `Rec` into a `HashMap` of `Dynamic`s.

fromDynamicMap :: forall (r :: Row Type). (AllUniqueLabels r, Forall r (Typeable :: Type -> Constraint)) => HashMap Text Dynamic -> Maybe (Rec r) #

Produces a `Rec` from a `HashMap` of `Dynamic`s.

# Row operations

## Map

type family Map (f :: a -> b) (r :: Row a) :: Row b where ... #

Map a type level function over a Row.

Equations

Map (f :: a1 -> a2) ('R r :: Row a1) = 'R (MapR f r) |

map :: forall c f (r :: Row Type). Forall r c => (forall a. c a => a -> f a) -> Rec r -> Rec (Map f r) #

A function to map over a record given a constraint.

map' :: forall f (r :: Row Type). FreeForall r => (forall a. a -> f a) -> Rec r -> Rec (Map f r) #

A function to map over a record given no constraint.

mapF :: forall k c (g :: k -> k) (ϕ :: Row (k -> Type)) (ρ :: Row k). BiForall ϕ ρ c => (forall (h :: k -> Type) (a :: k). c h a => h a -> h (g a)) -> Rec (Ap ϕ ρ) -> Rec (Ap ϕ (Map g ρ)) #

A function to map over a Ap record given constraints.

transform :: forall {a} c (r :: Row a) f g. Forall r c => (forall (a1 :: a). c a1 => f a1 -> g a1) -> Rec (Map f r) -> Rec (Map g r) #

Lifts a natural transformation over a record. In other words, it acts as a record transformer to convert a record of `f a` values to a record of `g a` values. If no constraint is needed, instantiate the first type argument with `Unconstrained1` or use `transform'`.

transform' :: forall {a} (r :: Row a) f g. FreeForall r => (forall (a1 :: a). f a1 -> g a1) -> Rec (Map f r) -> Rec (Map g r) #

A version of `transform` for when there is no constraint.

zipTransform :: forall {a} c (r :: Row a) f g h. Forall r c => (forall (a1 :: a). c a1 => f a1 -> g a1 -> h a1) -> Rec (Map f r) -> Rec (Map g r) -> Rec (Map h r) #

Zip together two records that are the same up to the type being mapped over them, combining their constituent fields with the given function.

zipTransform' :: forall {a} (r :: Row a) f g h. FreeForall r => (forall (a1 :: a). f a1 -> g a1 -> h a1) -> Rec (Map f r) -> Rec (Map g r) -> Rec (Map h r) #

A version of `zipTransform` for when there is no constraint.

## Fold

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

#### Instances

Instances details

(KnownSymbol ℓ, c τ1 τ2, BiForall ('R ρ1) ('R ρ2) c, FrontExtends ℓ τ1 ('R ρ1), FrontExtends ℓ τ2 ('R ρ2), AllUniqueLabels (Extend ℓ τ1 ('R ρ1)), AllUniqueLabels (Extend ℓ τ2 ('R ρ2))) => BiForall ('R ((ℓ ':-> τ1) ': ρ1) :: Row k1) ('R ((ℓ ':-> τ2) ': ρ2) :: Row k2) (c :: k1 -> k2 -> Constraint) # |
Instance details Defined in Data.Row.Internal Methods biMetamorph :: forall p f g h. Bifunctor p => Proxy (Proxy h, Proxy p) -> (f (Empty :: Row k1) (Empty :: Row k2) -> g (Empty :: Row k1) (Empty :: Row k2)) -> (forall (ℓ0 :: Symbol) (τ10 :: k1) (τ20 :: k2) (ρ10 :: Row k1) (ρ20 :: Row k2). (KnownSymbol ℓ0, c τ10 τ20, HasType ℓ0 τ10 ρ10, HasType ℓ0 τ20 ρ20) => Label ℓ0 -> f ρ10 ρ20 -> p (f (ρ10 .- ℓ0) (ρ20 .- ℓ0)) (h τ10 τ20)) -> (forall (ℓ1 :: Symbol) (τ11 :: k1) (τ21 :: k2) (ρ11 :: Row k1) (ρ21 :: Row k2). (KnownSymbol ℓ1, c τ11 τ21, FrontExtends ℓ1 τ11 ρ11, FrontExtends ℓ1 τ21 ρ21, AllUniqueLabels (Extend ℓ1 τ11 ρ11), AllUniqueLabels (Extend ℓ1 τ21 ρ21)) => Label ℓ1 -> p (g ρ11 ρ21) (h τ11 τ21) -> g (Extend ℓ1 τ11 ρ11) (Extend 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) # |
Instance details Defined in Data.Row.Internal Methods biMetamorph :: forall p f g h. Bifunctor p => Proxy (Proxy h, Proxy p) -> (f (Empty :: Row k1) (Empty :: Row k2) -> g (Empty :: Row k1) (Empty :: Row k2)) -> (forall (ℓ :: Symbol) (τ1 :: k1) (τ2 :: k2) (ρ1 :: Row k1) (ρ2 :: Row k2). (KnownSymbol ℓ, c1 τ1 τ2, HasType ℓ τ1 ρ1, HasType ℓ τ2 ρ2) => Label ℓ -> f ρ1 ρ2 -> p (f (ρ1 .- ℓ) (ρ2 .- ℓ)) (h τ1 τ2)) -> (forall (ℓ :: Symbol) (τ1 :: k1) (τ2 :: k2) (ρ1 :: Row k1) (ρ2 :: Row k2). (KnownSymbol ℓ, c1 τ1 τ2, FrontExtends ℓ τ1 ρ1, FrontExtends ℓ τ2 ρ2, AllUniqueLabels (Extend ℓ τ1 ρ1), AllUniqueLabels (Extend ℓ τ2 ρ2)) => Label ℓ -> p (g ρ1 ρ2) (h τ1 τ2) -> g (Extend ℓ τ1 ρ1) (Extend ℓ τ2 ρ2)) -> f ('R ('[] :: [LT k1])) ('R ('[] :: [LT k2])) -> g ('R ('[] :: [LT k1])) ('R ('[] :: [LT k2])) #

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

#### Instances

Instances details

(KnownSymbol ℓ, c τ, Forall ('R ρ) c, FrontExtends ℓ τ ('R ρ), AllUniqueLabels (Extend ℓ τ ('R ρ))) => Forall ('R ((ℓ ':-> τ) ': ρ) :: Row k) (c :: k -> Constraint) # |
Instance details Defined in Data.Row.Internal Methods metamorph :: forall p f g h. Bifunctor p => Proxy (Proxy h, Proxy p) -> (f (Empty :: Row k) -> g (Empty :: Row k)) -> (forall (ℓ0 :: Symbol) (τ0 :: k) (ρ0 :: Row k). (KnownSymbol ℓ0, c τ0, HasType ℓ0 τ0 ρ0) => Label ℓ0 -> f ρ0 -> p (f (ρ0 .- ℓ0)) (h τ0)) -> (forall (ℓ1 :: Symbol) (τ1 :: k) (ρ1 :: Row k). (KnownSymbol ℓ1, c τ1, FrontExtends ℓ1 τ1 ρ1, AllUniqueLabels (Extend ℓ1 τ1 ρ1)) => Label ℓ1 -> p (g ρ1) (h τ1) -> g (Extend ℓ1 τ1 ρ1)) -> f ('R ((ℓ ':-> τ) ': ρ)) -> g ('R ((ℓ ':-> τ) ': ρ)) #
Forall ('R ('[] :: [LT k]) :: Row k) (c :: k -> Constraint) # |
Instance details Defined in Data.Row.Internal Methods metamorph :: forall p f g h. Bifunctor p => Proxy (Proxy h, Proxy p) -> (f (Empty :: Row k) -> g (Empty :: Row k)) -> (forall (ℓ :: Symbol) (τ :: k) (ρ :: Row k). (KnownSymbol ℓ, c τ, HasType ℓ τ ρ) => Label ℓ -> f ρ -> p (f (ρ .- ℓ)) (h τ)) -> (forall (ℓ :: Symbol) (τ :: k) (ρ :: Row k). (KnownSymbol ℓ, c τ, FrontExtends ℓ τ ρ, AllUniqueLabels (Extend ℓ τ ρ)) => Label ℓ -> p (g ρ) (h τ) -> g (Extend ℓ τ ρ)) -> f ('R ('[] :: [LT k])) -> g ('R ('[] :: [LT k])) #

erase :: forall c (ρ :: Row Type) b. Forall ρ c => (forall a. c a => a -> b) -> Rec ρ -> [b] #

A standard fold

eraseWithLabels :: forall c (ρ :: Row Type) s b. (Forall ρ c, IsString s) => (forall a. c a => a -> b) -> Rec ρ -> [(s, b)] #

A fold with labels

eraseZip :: forall c (ρ :: Row Type) b. Forall ρ c => (forall a. c a => a -> a -> b) -> Rec ρ -> Rec ρ -> [b] #

A fold over two row type structures at once

eraseToHashMap :: forall c (r :: Row Type) s b. (IsString s, Eq s, Hashable s, Forall r c) => (forall a. c a => a -> b) -> Rec r -> HashMap s b #

Turns a record into a `HashMap` from values representing the labels to the values of the record.

## Zip

type family Zip (r1 :: Row Type) (r2 :: Row Type) :: Row Type where ... #

Zips two rows together to create a Row of the pairs. The two rows must have the same set of labels.

Equations

Zip ('R r1) ('R r2) = 'R (ZipR r1 r2) |

zip :: forall (r1 :: Row Type) (r2 :: Row Type). FreeBiForall r1 r2 => Rec r1 -> Rec r2 -> Rec (Zip r1 r2) #

Zips together two records that have the same set of labels.

## Applicative-like functions

traverse :: forall c f (r :: Row Type). (Forall r c, Applicative f) => (forall a. c a => a -> f a) -> Rec r -> f (Rec r) #

Traverse a function over a record. Note that the fields of the record will be accessed in lexicographic order by the labels.

traverseMap :: forall {a} c f g h (r :: Row a). (Forall r c, Applicative f) => (forall (a1 :: a). c a1 => g a1 -> f (h a1)) -> Rec (Map g r) -> f (Rec (Map h r)) #

Traverse a function over a Mapped record. Note that the fields of the record will be accessed in lexicographic order by the labels.

sequence :: forall f (r :: Row Type). (Applicative f, FreeForall r) => Rec (Map f r) -> f (Rec r) #

Applicative sequencing over a record.

sequence' :: forall f (r :: Row Type) (c :: Type -> Constraint). (Forall r c, Applicative f) => Rec (Map f r) -> f (Rec r) #

A version of `sequence` in which the constraint for `Forall` can be chosen.

distribute :: forall f (r :: Row Type). (FreeForall r, Functor f) => f (Rec r) -> Rec (Map f r) #

This function acts as the inversion of `sequence`, allowing one to move a functor level into a record.

## Compose

We can easily convert between mapping two functors over the types of a row and mapping the composition of the two functors. The following two functions perform this composition with the gaurantee that:

    >>> compose . uncompose = id

    >>> uncompose . compose = id

compose :: forall {k} {a} (f :: k -> Type) (g :: a -> k) (r :: Row a). FreeForall r => Rec (Map f (Map g r)) -> Rec (Map (Compose f g) r) #

Convert from a record where two functors have been mapped over the types to one where the composition of the two functors is mapped over the types.

uncompose :: forall {b} {a} (f :: b -> Type) (g :: a -> b) (r :: Row a). FreeForall r => Rec (Map (Compose f g) r) -> Rec (Map f (Map g r)) #

Convert from a record where the composition of two functors have been mapped over the types to one where the two functors are mapped individually one at a time over the types.

compose' :: forall {a} {k} (c :: a -> Constraint) (f :: k -> Type) (g :: a -> k) (r :: Row a). Forall r c => Rec (Map f (Map g r)) -> Rec (Map (Compose f g) r) #

A version of `compose` in which the constraint for `Forall` can be chosen.

uncompose' :: forall {a} {b} (c :: a -> Constraint) (f :: b -> Type) (g :: a -> b) (r :: Row a). Forall r c => Rec (Map (Compose f g) r) -> Rec (Map f (Map g r)) #

A version of `uncompose` in which the constraint for `Forall` can be chosen.

## Labels

labels :: forall {k} (ρ :: Row k) (c :: k -> Constraint) s. (IsString s, Forall ρ c) => [s] #

Return a list of the labels in a row type.

labels' :: forall {k} (ρ :: Row k) s. (IsString s, Forall ρ (Unconstrained1 :: k -> Constraint)) => [s] #

Return a list of the labels in a row type and is specialized to the `Unconstrained1` constraint.

## Coerce

coerceRec :: forall (r1 :: Row Type) (r2 :: Row Type). BiForall r1 r2 (Coercible :: Type -> Type -> Constraint) => Rec r1 -> Rec r2 #

Coerce a record to a coercible representation. The `BiForall` in the context indicates that the type of every field in `r1` can be coerced to the type of the corresponding fields in `r2`.

Internally, this is implemented just with `unsafeCoerce`, but we provide the following implementation as a proof:

    newtype ConstR a b = ConstR (Rec a)
    newtype FlipConstR a b = FlipConstR { unFlipConstR :: Rec b }
    coerceRec :: forall r1 r2. BiForall r1 r2 Coercible => Rec r1 -> Rec r2
    coerceRec = unFlipConstR . biMetamorph @_ @_ @r1 @r2 @Coercible @(,) @ConstR @FlipConstR @Const Proxy doNil doUncons doCons . ConstR
      where
        doNil _ = FlipConstR empty
        doUncons l (ConstR r) = bimap ConstR Const $ lazyUncons l r
        doCons :: forall ℓ τ1 τ2 ρ1 ρ2. (KnownSymbol ℓ, Coercible τ1 τ2)
               => Label ℓ -> (FlipConstR ρ1 ρ2, Const τ1 τ2) -> FlipConstR (Extend ℓ τ1 ρ1) (Extend ℓ τ2 ρ2)
        doCons l (FlipConstR r, Const v) = FlipConstR $ extend l (coerce @τ1 @τ2 v) r