Safe Haskell	None
Language	Haskell2010

Data.Generics.Internal.VL

Synopsis

(.~) :: ((a -> Identity b) -> s -> Identity t) -> b -> s -> t
(^.) :: s -> ((a -> Const a a) -> s -> Const a s) -> a
lens :: (s -> a) -> (s -> b -> t) -> Lens s t a b
lens2lensvl :: ALens a b i s t -> Lens s t a b
over :: ((a -> Identity b) -> s -> Identity t) -> (a -> b) -> s -> t
ravel :: (ALens a b i a b -> ALens a b i s t) -> Lens s t a b
set :: Lens s t a b -> b -> s -> t
view :: ((a -> Const a a) -> s -> Const a s) -> s -> a
type Lens s t a b = forall (f :: Type -> Type). Functor f => (a -> f b) -> s -> f t
type Lens' s a = Lens s s a a
fromIso :: Iso s t a b -> Iso b a t s
iso :: (s -> a) -> (b -> t) -> Iso s t a b
iso2isovl :: Iso s t a b -> Iso s t a b
kIso :: forall {k} r a (p1 :: k) b p2 f. (Profunctor p2, Functor f) => p2 a (f b) -> p2 (K1 r a p1) (f (K1 r b p1))
mIso :: forall {k} i (c :: Meta) f1 (p1 :: k) g p2 f2. (Profunctor p2, Functor f2) => p2 (f1 p1) (f2 (g p1)) -> p2 (M1 i c f1 p1) (f2 (M1 i c g p1))
paramIso :: forall (n :: Nat) a b p f. (Profunctor p, Functor f) => p a (f b) -> p (Param n a) (f (Param n b))
prodIso :: forall {k} a b (x :: k) a' b' p f. (Profunctor p, Functor f) => p (a x, b x) (f (a' x, b' x)) -> p ((a :*: b) x) (f ((a' :*: b') x))
recIso :: forall {k} r a (p1 :: k) b p2 f. (Profunctor p2, Functor f) => p2 a (f b) -> p2 (Rec r a p1) (f (Rec r b p1))
repIso :: (Generic a, Generic b) => Iso a b (Rep a x) (Rep b x)
repIsoN :: (GenericN a, GenericN b) => Iso a b (RepN a x) (RepN b x)
withIso :: Iso s t a b -> ((s -> a) -> (b -> t) -> r) -> r
data Exchange a b s t = Exchange (s -> a) (b -> t)
type Iso s t a b = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Profunctor p, Functor f) => p a (f b) -> p s (f t)
type Iso' s a = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Profunctor p, Functor f) => p a (f a) -> p s (f s)
build :: Prism s t a b -> b -> t
match :: Prism s t a b -> s -> Either t a
prism :: (b -> t) -> (s -> Either t a) -> Prism s t a b
prism2prismvl :: APrism i s t a b -> Prism s t a b
data Market a b s t = Market (b -> t) (s -> Either t a)
type Prism s t a b = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Choice p, Applicative f) => p a (f b) -> p s (f t)
type Prism' s a = Prism s s a a
confusing :: Applicative f => Traversal s t a b -> (a -> f b) -> s -> f t
liftCurried :: Applicative f => f a -> Curried f a
liftCurriedYoneda :: Applicative f => f a -> Curried (Yoneda f) a
liftYoneda :: Functor f => f a -> Yoneda f a
lowerCurried :: Applicative f => Curried f a -> f a
lowerYoneda :: Yoneda f a -> f a
yap :: Applicative f => Yoneda f (a -> b) -> f a -> Yoneda f b
newtype Curried (f :: Type -> Type) a = Curried {
- runCurried :: forall r. f (a -> r) -> f r
}
type Traversal s t a b = forall (f :: Type -> Type). Applicative f => (a -> f b) -> s -> f t
type Traversal' s a = forall (f :: Type -> Type). Applicative f => (a -> f a) -> s -> f s
newtype Yoneda (f :: Type -> Type) a = Yoneda {
- runYoneda :: forall b. (a -> b) -> f b
}

Documentation

(.~) :: ((a -> Identity b) -> s -> Identity t) -> b -> s -> t infixr 4 Source #

(^.) :: s -> ((a -> Const a a) -> s -> Const a s) -> a infixl 8 Source #

Getting

lens :: (s -> a) -> (s -> b -> t) -> Lens s t a b Source #

lens2lensvl :: ALens a b i s t -> Lens s t a b Source #

over :: ((a -> Identity b) -> s -> Identity t) -> (a -> b) -> s -> t Source #

ravel :: (ALens a b i a b -> ALens a b i s t) -> Lens s t a b Source #

set :: Lens s t a b -> b -> s -> t Source #

view :: ((a -> Const a a) -> s -> Const a s) -> s -> a Source #

type Lens s t a b = forall (f :: Type -> Type). Functor f => (a -> f b) -> s -> f t Source #

type Lens' s a = Lens s s a a Source #

Type alias for lens

fromIso :: Iso s t a b -> Iso b a t s Source #

iso :: (s -> a) -> (b -> t) -> Iso s t a b Source #

iso2isovl :: Iso s t a b -> Iso s t a b Source #

kIso :: forall {k} r a (p1 :: k) b p2 f. (Profunctor p2, Functor f) => p2 a (f b) -> p2 (K1 r a p1) (f (K1 r b p1)) Source #

mIso :: forall {k} i (c :: Meta) f1 (p1 :: k) g p2 f2. (Profunctor p2, Functor f2) => p2 (f1 p1) (f2 (g p1)) -> p2 (M1 i c f1 p1) (f2 (M1 i c g p1)) Source #

M1 is just a wrapper around `f p`

paramIso :: forall (n :: Nat) a b p f. (Profunctor p, Functor f) => p a (f b) -> p (Param n a) (f (Param n b)) Source #

prodIso :: forall {k} a b (x :: k) a' b' p f. (Profunctor p, Functor f) => p (a x, b x) (f (a' x, b' x)) -> p ((a :*: b) x) (f ((a' :*: b') x)) Source #

recIso :: forall {k} r a (p1 :: k) b p2 f. (Profunctor p2, Functor f) => p2 a (f b) -> p2 (Rec r a p1) (f (Rec r b p1)) Source #

repIso :: (Generic a, Generic b) => Iso a b (Rep a x) (Rep b x) Source #

A type and its generic representation are isomorphic

repIsoN :: (GenericN a, GenericN b) => Iso a b (RepN a x) (RepN b x) Source #

withIso :: Iso s t a b -> ((s -> a) -> (b -> t) -> r) -> r Source #

Extract the two functions, one from s -> a and one from b -> t that characterize an Iso.

data Exchange a b s t Source #

Constructors

Exchange (s -> a) (b -> t)

Instances

Instances details

Profunctor (Exchange a b) Source #
Instance details Defined in Data.Generics.Internal.VL.Iso Methods dimap :: (a0 -> b0) -> (c -> d) -> Exchange a b b0 c -> Exchange a b a0 d lmap :: (a0 -> b0) -> Exchange a b b0 c -> Exchange a b a0 c rmap :: (b0 -> c) -> Exchange a b a0 b0 -> Exchange a b a0 c (#.) :: forall a0 b0 c q. Coercible c b0 => q b0 c -> Exchange a b a0 b0 -> Exchange a b a0 c (.#) :: forall a0 b0 c q. Coercible b0 a0 => Exchange a b b0 c -> q a0 b0 -> Exchange a b a0 c
Functor (Exchange a b s) Source #
Instance details Defined in Data.Generics.Internal.VL.Iso Methods fmap :: (a0 -> b0) -> Exchange a b s a0 -> Exchange a b s b0 # (<$) :: a0 -> Exchange a b s b0 -> Exchange a b s a0 #

type Iso s t a b = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Profunctor p, Functor f) => p a (f b) -> p s (f t) Source #

type Iso' s a = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Profunctor p, Functor f) => p a (f a) -> p s (f s) Source #

build :: Prism s t a b -> b -> t Source #

match :: Prism s t a b -> s -> Either t a Source #

prism :: (b -> t) -> (s -> Either t a) -> Prism s t a b Source #

prism2prismvl :: APrism i s t a b -> Prism s t a b Source #

data Market a b s t Source #

Constructors

Market (b -> t) (s -> Either t a)

Instances

Instances details

Choice (Market a b) Source #
Instance details Defined in Data.Generics.Internal.VL.Prism Methods left' :: Market a b a0 b0 -> Market a b (Either a0 c) (Either b0 c) right' :: Market a b a0 b0 -> Market a b (Either c a0) (Either c b0)
Profunctor (Market a b) Source #
Instance details Defined in Data.Generics.Internal.VL.Prism Methods dimap :: (a0 -> b0) -> (c -> d) -> Market a b b0 c -> Market a b a0 d lmap :: (a0 -> b0) -> Market a b b0 c -> Market a b a0 c rmap :: (b0 -> c) -> Market a b a0 b0 -> Market a b a0 c (#.) :: forall a0 b0 c q. Coercible c b0 => q b0 c -> Market a b a0 b0 -> Market a b a0 c (.#) :: forall a0 b0 c q. Coercible b0 a0 => Market a b b0 c -> q a0 b0 -> Market a b a0 c
Functor (Market a b s) Source #
Instance details Defined in Data.Generics.Internal.VL.Prism Methods fmap :: (a0 -> b0) -> Market a b s a0 -> Market a b s b0 # (<$) :: a0 -> Market a b s b0 -> Market a b s a0 #

type Prism s t a b = forall (p :: Type -> Type -> Type) (f :: Type -> Type). (Choice p, Applicative f) => p a (f b) -> p s (f t) Source #

Type alias for prism

type Prism' s a = Prism s s a a Source #

confusing :: Applicative f => Traversal s t a b -> (a -> f b) -> s -> f t #

liftCurried :: Applicative f => f a -> Curried f a #

liftCurriedYoneda :: Applicative f => f a -> Curried (Yoneda f) a #

liftYoneda :: Functor f => f a -> Yoneda f a #

lowerCurried :: Applicative f => Curried f a -> f a #

lowerYoneda :: Yoneda f a -> f a #

yap :: Applicative f => Yoneda f (a -> b) -> f a -> Yoneda f b #

newtype Curried (f :: Type -> Type) a #

Constructors

Curried
Fields runCurried :: forall r. f (a -> r) -> f r

Instances

Instances details

Functor f => Applicative (Curried f) #
Instance details Defined in Data.Generics.Internal.VL.Traversal Methods pure :: a -> Curried f a # (<>) :: Curried f (a -> b) -> Curried f a -> Curried f b # liftA2 :: (a -> b -> c) -> Curried f a -> Curried f b -> Curried f c # (>) :: Curried f a -> Curried f b -> Curried f b # (<*) :: Curried f a -> Curried f b -> Curried f a #
Functor f => Functor (Curried f) #
Instance details Defined in Data.Generics.Internal.VL.Traversal Methods fmap :: (a -> b) -> Curried f a -> Curried f b # (<$) :: a -> Curried f b -> Curried f a #

type Traversal s t a b = forall (f :: Type -> Type). Applicative f => (a -> f b) -> s -> f t #

type Traversal' s a = forall (f :: Type -> Type). Applicative f => (a -> f a) -> s -> f s #

newtype Yoneda (f :: Type -> Type) a #

Constructors

Yoneda
Fields runYoneda :: forall b. (a -> b) -> f b

Instances

Instances details

Applicative f => Applicative (Yoneda f) #
Instance details Defined in Data.Generics.Internal.VL.Traversal Methods pure :: a -> Yoneda f a # (<>) :: Yoneda f (a -> b) -> Yoneda f a -> Yoneda f b # liftA2 :: (a -> b -> c) -> Yoneda f a -> Yoneda f b -> Yoneda f c # (>) :: Yoneda f a -> Yoneda f b -> Yoneda f b # (<*) :: Yoneda f a -> Yoneda f b -> Yoneda f a #
Functor (Yoneda f) #
Instance details Defined in Data.Generics.Internal.VL.Traversal Methods fmap :: (a -> b) -> Yoneda f a -> Yoneda f b # (<$) :: a -> Yoneda f b -> Yoneda f a #