Copyright	(C) 2020 Csongor Kiss
License	BSD3
Maintainer	Csongor Kiss <kiss.csongor.kiss@gmail.com>
Stability	experimental
Portability	non-portable
Safe Haskell	None
Language	Haskell2010

Data.GenericLens.Internal

Contents

Profunctor optics

Description

The library internals are exposed through this module. Please keep in mind that everything here is subject to change irrespective of the the version numbers.

Synopsis

module Data.Generics.Internal.Families
module Data.Generics.Internal.Families.Changing
module Data.Generics.Internal.Families.Collect
module Data.Generics.Internal.Families.Has
module Data.Generics.Internal.Void
module Data.Generics.Internal.Errors
data family Param :: Nat -> j -> k
newtype Rec (p :: Type) a x = Rec {
- unRec :: K1 R a x
}
class (Coercible (Rep a) (RepN a), Generic a) => GenericN (a :: Type) where
- type RepN (a :: Type) :: Type -> Type
- toN :: RepN a x -> a
- fromN :: a -> RepN a x
type Iso s t a b = forall p i. Profunctor p => p i a b -> p i s t
type Iso' s a = Iso s s a a
repIso :: (Generic a, Generic b) => Iso a b (Rep a x) (Rep b x)
mIso :: Iso (M1 i c f p) (M1 i c g p) (f p) (g p)
kIso :: Iso (K1 r a p) (K1 r b p) a b
recIso :: Iso (Rec r a p) (Rec r b p) a b
sumIso :: Iso ((a :+: b) x) ((a' :+: b') x) (Either (a x) (b x)) (Either (a' x) (b' x))
prodIso :: Iso ((a :*: b) x) ((a' :*: b') x) (a x, b x) (a' x, b' x)
assoc3 :: Iso ((a, b), c) ((a', b'), c') (a, (b, c)) (a', (b', c'))
fromIso :: Iso s t a b -> Iso b a t s
iso :: (s -> a) -> (b -> t) -> Iso s t a b
withIso :: Iso s t a b -> ((s -> a) -> (b -> t) -> r) -> r
pairing :: Iso s t a b -> Iso s' t' a' b' -> Iso (s, s') (t, t') (a, a') (b, b')
type Lens s t a b = forall p i. Strong p => p i a b -> p i s t
type LensLike p s t a b = p a b -> p s t
ravel :: (ALens a b i a b -> ALens a b i s t) -> Lens s t a b
set :: ((a -> b) -> s -> t) -> (s, b) -> t
view :: Lens s s a a -> s -> a
withLensPrim :: Lens s t a b -> (forall c. (s -> (c, a)) -> ((c, b) -> t) -> r) -> r
idLens :: ALens a b i a b
first :: Lens ((a :*: b) x) ((a' :*: b) x) (a x) (a' x)
second :: Lens ((a :*: b) x) ((a :*: b') x) (b x) (b' x)
fork :: (a -> b) -> (a -> c) -> a -> (b, c)
data Coyoneda f b = forall a. Coyoneda (a -> b) (f a)
inj :: Functor f => Coyoneda f a -> f a
proj :: Functor f => f a -> Coyoneda f a
(??) :: Functor f => f (a -> b) -> a -> f b
assoc3L :: Lens ((a, b), c) ((a', b'), c') (a, (b, c)) (a', (b', c'))
stron :: (Either s s', b) -> Either (s, b) (s', b)
choosing :: forall s t a b s' t'. Lens s t a b -> Lens s' t' a b -> Lens (Either s s') (Either t t') a b
lens :: (s -> (c, a)) -> ((c, b) -> t) -> Lens s t a b
data ALens a b i s t = forall c. ALens (s -> (c, a)) ((c, b) -> t)
swap :: (a, b) -> (b, a)
type APrism i s t a b = Market a b i a b -> Market a b i s t
type Prism s t a b = forall p i. Choice p => p i a b -> p i s t
type Prism' s a = forall p i. Choice p => p i a a -> p i s s
left :: Prism ((a :+: c) x) ((b :+: c) x) (a x) (b x)
right :: Prism ((a :+: b) x) ((a :+: c) x) (b x) (c x)
prism :: (b -> t) -> (s -> Either t a) -> Prism s t a b
_Left :: Prism (Either a c) (Either b c) a b
_Right :: Prism (Either c a) (Either c b) a b
prismPRavel :: APrism i s t a b -> Prism s t a b
build :: (Tagged i b b -> Tagged i t t) -> b -> t
match :: Prism s t a b -> s -> Either t a
without' :: Prism s t a b -> Prism s t c d -> Prism s t (Either a c) (Either b d)
withPrism :: APrism i s t a b -> ((b -> t) -> (s -> Either t a) -> r) -> r
prism2prismp :: Market a b i s t -> Prism s t a b
idPrism :: Market a b i a b
gsum :: (a x -> c) -> (b x -> c) -> (a :+: b) x -> c

Documentation

module Data.Generics.Internal.Families

module Data.Generics.Internal.Families.Changing

module Data.Generics.Internal.Families.Collect

module Data.Generics.Internal.Families.Has

module Data.Generics.Internal.Void

module Data.Generics.Internal.Errors

data family Param :: Nat -> j -> k Source #

Instances

Instances details

newtype Param n (a :: Type) Source #
Instance details Defined in Data.Generics.Internal.GenericN newtype Param n (a :: Type) = StarParam { getStarParam :: a }

newtype Rec (p :: Type) a x Source #

Constructors

Rec
Fields unRec :: K1 R a x

class (Coercible (Rep a) (RepN a), Generic a) => GenericN (a :: Type) where Source #

Associated Types

type RepN (a :: Type) :: Type -> Type Source #

type RepN a = Rep (Indexed a 0)

Methods

toN :: RepN a x -> a Source #

fromN :: a -> RepN a x Source #

Instances

Instances details

(Coercible (Rep a) (RepN a), Generic a) => GenericN a Source #
Instance details Defined in Data.Generics.Internal.GenericN Associated Types type RepN a :: Type -> Type Source # Methods toN :: RepN a x -> a Source # fromN :: a -> RepN a x Source #

Profunctor optics

type Iso s t a b = forall p i. Profunctor p => p i a b -> p i s t Source #

type Iso' s a = Iso s s a a Source #

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

A type and its generic representation are isomorphic

mIso :: Iso (M1 i c f p) (M1 i c g p) (f p) (g p) Source #

M1 is just a wrapper around `f p` mIso :: Iso' (M1 i c f p) (f p)

kIso :: Iso (K1 r a p) (K1 r b p) a b Source #

recIso :: Iso (Rec r a p) (Rec r b p) a b Source #

sumIso :: Iso ((a :+: b) x) ((a' :+: b') x) (Either (a x) (b x)) (Either (a' x) (b' x)) Source #

prodIso :: Iso ((a :*: b) x) ((a' :*: b') x) (a x, b x) (a' x, b' x) Source #

assoc3 :: Iso ((a, b), c) ((a', b'), c') (a, (b, c)) (a', (b', c')) Source #

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

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

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

pairing :: Iso s t a b -> Iso s' t' a' b' -> Iso (s, s') (t, t') (a, a') (b, b') Source #

type Lens s t a b = forall p i. Strong p => p i a b -> p i s t Source #

type LensLike p s t a b = p a b -> p s t Source #

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

set :: ((a -> b) -> s -> t) -> (s, b) -> t Source #

Setting

view :: Lens s s a a -> s -> a Source #

withLensPrim :: Lens s t a b -> (forall c. (s -> (c, a)) -> ((c, b) -> t) -> r) -> r Source #

idLens :: ALens a b i a b Source #

first :: Lens ((a :*: b) x) ((a' :*: b) x) (a x) (a' x) Source #

Lens focusing on the first element of a product

second :: Lens ((a :*: b) x) ((a :*: b') x) (b x) (b' x) Source #

Lens focusing on the second element of a product

fork :: (a -> b) -> (a -> c) -> a -> (b, c) Source #

data Coyoneda f b Source #

Constructors

forall a. Coyoneda (a -> b) (f a)

Instances

Instances details

Functor (Coyoneda f) Source #
Instance details Defined in Data.Generics.Internal.Profunctor.Lens Methods fmap :: (a -> b) -> Coyoneda f a -> Coyoneda f b # (<$) :: a -> Coyoneda f b -> Coyoneda f a #

inj :: Functor f => Coyoneda f a -> f a Source #

proj :: Functor f => f a -> Coyoneda f a Source #

(??) :: Functor f => f (a -> b) -> a -> f b Source #

assoc3L :: Lens ((a, b), c) ((a', b'), c') (a, (b, c)) (a', (b', c')) Source #

stron :: (Either s s', b) -> Either (s, b) (s', b) Source #

choosing :: forall s t a b s' t'. Lens s t a b -> Lens s' t' a b -> Lens (Either s s') (Either t t') a b Source #

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

data ALens a b i s t Source #

Constructors

forall c. ALens (s -> (c, a)) ((c, b) -> t)

Instances

Instances details

Profunctor (ALens a b) Source #
Instance details Defined in Data.Generics.Internal.Profunctor.Lens Methods dimap :: (a0 -> b0) -> (c -> d) -> ALens a b i b0 c -> ALens a b i a0 d Source # lmap :: (a0 -> b0) -> ALens a b i b0 c -> ALens a b i a0 c Source # rmap :: (c -> d) -> ALens a b i b0 c -> ALens a b i b0 d Source # lcoerce' :: Coercible a0 b0 => ALens a b i a0 c -> ALens a b i b0 c Source # rcoerce' :: Coercible a0 b0 => ALens a b i c a0 -> ALens a b i c b0 Source # conjoined__ :: (ALens a b i a0 b0 -> ALens a b i s t) -> (ALens a b i a0 b0 -> ALens a b j s t) -> ALens a b i a0 b0 -> ALens a b j s t Source # ixcontramap :: (j -> i) -> ALens a b i a0 b0 -> ALens a b j a0 b0 Source #
Strong (ALens a b) Source #
Instance details Defined in Data.Generics.Internal.Profunctor.Lens Methods first' :: ALens a b i a0 b0 -> ALens a b i (a0, c) (b0, c) Source # second' :: ALens a b i a0 b0 -> ALens a b i (c, a0) (c, b0) Source # linear :: (forall (f :: Type -> Type). Functor f => (a0 -> f b0) -> s -> f t) -> ALens a b i a0 b0 -> ALens a b i s t Source # ilinear :: (forall (f :: Type -> Type). Functor f => (i -> a0 -> f b0) -> s -> f t) -> ALens a b j a0 b0 -> ALens a b (i -> j) s t Source #
Functor (ALens a b i s) Source #
Instance details Defined in Data.Generics.Internal.Profunctor.Lens Methods fmap :: (a0 -> b0) -> ALens a b i s a0 -> ALens a b i s b0 # (<$) :: a0 -> ALens a b i s b0 -> ALens a b i s a0 #

swap :: (a, b) -> (b, a) Source #

type APrism i s t a b = Market a b i a b -> Market a b i s t Source #

type Prism s t a b = forall p i. Choice p => p i a b -> p i s t Source #

type Prism' s a = forall p i. Choice p => p i a a -> p i s s Source #

left :: Prism ((a :+: c) x) ((b :+: c) x) (a x) (b x) Source #

right :: Prism ((a :+: b) x) ((a :+: c) x) (b x) (c x) Source #

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

_Left :: Prism (Either a c) (Either b c) a b Source #

_Right :: Prism (Either c a) (Either c b) a b Source #

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

build :: (Tagged i b b -> Tagged i t t) -> b -> t Source #

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

without' :: Prism s t a b -> Prism s t c d -> Prism s t (Either a c) (Either b d) Source #

withPrism :: APrism i s t a b -> ((b -> t) -> (s -> Either t a) -> r) -> r Source #

prism2prismp :: Market a b i s t -> Prism s t a b Source #

idPrism :: Market a b i a b Source #

gsum :: (a x -> c) -> (b x -> c) -> (a :+: b) x -> c Source #