| Copyright | (C) 2012-16 Edward Kmett |
|---|---|
| License | BSD-style (see the file LICENSE) |
| Maintainer | Edward Kmett <ekmett@gmail.com> |
| Stability | provisional |
| Portability | Rank2Types |
| Safe Haskell | Trustworthy |
| Language | Haskell98 |
Control.Lens.Getter
Contents
Description
A is just any function Getter s a(s -> a), which we've flipped into continuation passing style, (a -> r) -> s -> r and decorated with Const to obtain:
typeGettingr s a = (a ->Constr a) -> s ->Constr s
If we restrict access to knowledge about the type r, we could get:
typeGetters a = forall r.Gettingr s a
However, for Getter (but not for Getting) we actually permit any functor f which is an instance of both Functor and Contravariant:
typeGetters a = forall f. (Contravariantf,Functorf) => (a -> f a) -> s -> f s
Everything you can do with a function, you can do with a Getter, but note that because of the continuation passing style (.) composes them in the opposite order.
Since it is only a function, every Getter obviously only retrieves a single value for a given input.
A common question is whether you can combine multiple Getters to retrieve multiple values. Recall that all Getters are Folds and that we have a instance to play with. Knowing this, we can use Monoid m => Applicative (Const m) to glue <>Folds together:
>>>import Data.Monoid>>>(1, 2, 3, 4, 5) ^.. (_2 <> _3 <> _5)[2,3,5]
Synopsis
- type Getter s a = forall f. (Contravariant f, Functor f) => (a -> f a) -> s -> f s
- type IndexedGetter i s a = forall p f. (Indexable i p, Contravariant f, Functor f) => p a (f a) -> s -> f s
- type Getting r s a = (a -> Const r a) -> s -> Const r s
- type IndexedGetting i m s a = Indexed i a (Const m a) -> s -> Const m s
- type Accessing p m s a = p a (Const m a) -> s -> Const m s
- to :: (Profunctor p, Contravariant f) => (s -> a) -> Optic' p f s a
- ito :: (Indexable i p, Contravariant f) => (s -> (i, a)) -> Over' p f s a
- like :: (Profunctor p, Contravariant f, Functor f) => a -> Optic' p f s a
- ilike :: (Indexable i p, Contravariant f, Functor f) => i -> a -> Over' p f s a
- (^.) :: s -> Getting a s a -> a
- view :: MonadReader s m => Getting a s a -> m a
- views :: MonadReader s m => LensLike' (Const r) s a -> (a -> r) -> m r
- use :: MonadState s m => Getting a s a -> m a
- uses :: MonadState s m => LensLike' (Const r) s a -> (a -> r) -> m r
- listening :: MonadWriter w m => Getting u w u -> m a -> m (a, u)
- listenings :: MonadWriter w m => Getting v w u -> (u -> v) -> m a -> m (a, v)
- (^@.) :: s -> IndexedGetting i (i, a) s a -> (i, a)
- iview :: MonadReader s m => IndexedGetting i (i, a) s a -> m (i, a)
- iviews :: MonadReader s m => IndexedGetting i r s a -> (i -> a -> r) -> m r
- iuse :: MonadState s m => IndexedGetting i (i, a) s a -> m (i, a)
- iuses :: MonadState s m => IndexedGetting i r s a -> (i -> a -> r) -> m r
- ilistening :: MonadWriter w m => IndexedGetting i (i, u) w u -> m a -> m (a, (i, u))
- ilistenings :: MonadWriter w m => IndexedGetting i v w u -> (i -> u -> v) -> m a -> m (a, v)
- class Contravariant (f :: * -> *) where
- getting :: (Profunctor p, Profunctor q, Functor f, Contravariant f) => Optical p q f s t a b -> Optical' p q f s a
- newtype Const a (b :: k) :: forall k. * -> k -> * = Const {
- getConst :: a
Getters
type Getter s a = forall f. (Contravariant f, Functor f) => (a -> f a) -> s -> f s Source #
A Getter describes how to retrieve a single value in a way that can be composed with other LensLike constructions.
Unlike a Lens a Getter is read-only. Since a Getter cannot be used to write back there are no Lens laws that can be applied to it. In fact, it is isomorphic to an arbitrary function from (s -> a).
Moreover, a Getter can be used directly as a Fold, since it just ignores the Applicative.
type IndexedGetter i s a = forall p f. (Indexable i p, Contravariant f, Functor f) => p a (f a) -> s -> f s Source #
Every IndexedGetter is a valid IndexedFold and can be used for Getting like a Getter.
type Getting r s a = (a -> Const r a) -> s -> Const r s Source #
When you see this in a type signature it indicates that you can pass the function a Lens, Getter, Traversal, Fold, Prism, Iso, or one of the indexed variants, and it will just "do the right thing".
Most Getter combinators are able to be used with both a Getter or a Fold in limited situations, to do so, they need to be monomorphic in what we are going to extract with Const. To be compatible with Lens, Traversal and Iso we also restricted choices of the irrelevant t and b parameters.
If a function accepts a , then when Getting r s ar is a Monoid, then you can pass a Fold (or Traversal), otherwise you can only pass this a Getter or Lens.
type IndexedGetting i m s a = Indexed i a (Const m a) -> s -> Const m s Source #
Used to consume an IndexedFold.
type Accessing p m s a = p a (Const m a) -> s -> Const m s Source #
This is a convenient alias used when consuming (indexed) getters and (indexed) folds in a highly general fashion.
Building Getters
to :: (Profunctor p, Contravariant f) => (s -> a) -> Optic' p f s a Source #
ito :: (Indexable i p, Contravariant f) => (s -> (i, a)) -> Over' p f s a Source #
ito:: (s -> (i, a)) ->IndexedGetteri s a
like :: (Profunctor p, Contravariant f, Functor f) => a -> Optic' p f s a Source #
ilike :: (Indexable i p, Contravariant f, Functor f) => i -> a -> Over' p f s a Source #
ilike:: i -> a ->IndexedGetteri s a
Combinators for Getters and Folds
(^.) :: s -> Getting a s a -> a infixl 8 Source #
View the value pointed to by a Getter or Lens or the result of folding over all the results of a Fold or Traversal that points at a monoidal values.
This is the same operation as view with the arguments flipped.
The fixity and semantics are such that subsequent field accesses can be performed with (.).
>>>(a,b)^._2b
>>>("hello","world")^._2"world"
>>>import Data.Complex>>>((0, 1 :+ 2), 3)^._1._2.to magnitude2.23606797749979
(^.) :: s ->Getters a -> a (^.) ::Monoidm => s ->Folds m -> m (^.) :: s ->Iso's a -> a (^.) :: s ->Lens's a -> a (^.) ::Monoidm => s ->Traversal's m -> m
view :: MonadReader s m => Getting a s a -> m a Source #
View the value pointed to by a Getter, Iso or Lens or the result of folding over all the results of a Fold or Traversal that points at a monoidal value.
view.to≡id
>>>view (to f) af a
>>>view _2 (1,"hello")"hello"
>>>view (to succ) 56
>>>view (_2._1) ("hello",("world","!!!"))"world"
As view is commonly used to access the target of a Getter or obtain a monoidal summary of the targets of a Fold, It may be useful to think of it as having one of these more restricted signatures:
view::Getters a -> s -> aview::Monoidm =>Folds m -> s -> mview::Iso's a -> s -> aview::Lens's a -> s -> aview::Monoidm =>Traversal's m -> s -> m
In a more general setting, such as when working with a Monad transformer stack you can use:
view::MonadReaders m =>Getters a -> m aview:: (MonadReaders m,Monoida) =>Folds a -> m aview::MonadReaders m =>Iso's a -> m aview::MonadReaders m =>Lens's a -> m aview:: (MonadReaders m,Monoida) =>Traversal's a -> m a
views :: MonadReader s m => LensLike' (Const r) s a -> (a -> r) -> m r Source #
View a function of the value pointed to by a Getter or Lens or the result of folding over the result of mapping the targets of a Fold or Traversal.
viewsl f ≡view(l.tof)
>>>views (to f) g ag (f a)
>>>views _2 length (1,"hello")5
As views is commonly used to access the target of a Getter or obtain a monoidal summary of the targets of a Fold, It may be useful to think of it as having one of these more restricted signatures:
views::Getters a -> (a -> r) -> s -> rviews::Monoidm =>Folds a -> (a -> m) -> s -> mviews::Iso's a -> (a -> r) -> s -> rviews::Lens's a -> (a -> r) -> s -> rviews::Monoidm =>Traversal's a -> (a -> m) -> s -> m
In a more general setting, such as when working with a Monad transformer stack you can use:
views::MonadReaders m =>Getters a -> (a -> r) -> m rviews:: (MonadReaders m,Monoidr) =>Folds a -> (a -> r) -> m rviews::MonadReaders m =>Iso's a -> (a -> r) -> m rviews::MonadReaders m =>Lens's a -> (a -> r) -> m rviews:: (MonadReaders m,Monoidr) =>Traversal's a -> (a -> r) -> m r
views::MonadReaders m =>Gettingr s a -> (a -> r) -> m r
use :: MonadState s m => Getting a s a -> m a Source #
Use the target of a Lens, Iso, or Getter in the current state, or use a summary of a Fold or Traversal that points to a monoidal value.
>>>evalState (use _1) (a,b)a
>>>evalState (use _1) ("hello","world")"hello"
use::MonadStates m =>Getters a -> m ause:: (MonadStates m,Monoidr) =>Folds r -> m ruse::MonadStates m =>Iso's a -> m ause::MonadStates m =>Lens's a -> m ause:: (MonadStates m,Monoidr) =>Traversal's r -> m r
uses :: MonadState s m => LensLike' (Const r) s a -> (a -> r) -> m r Source #
Use the target of a Lens, Iso or Getter in the current state, or use a summary of a Fold or Traversal that points to a monoidal value.
>>>evalState (uses _1 length) ("hello","world")5
uses::MonadStates m =>Getters a -> (a -> r) -> m ruses:: (MonadStates m,Monoidr) =>Folds a -> (a -> r) -> m ruses::MonadStates m =>Lens's a -> (a -> r) -> m ruses::MonadStates m =>Iso's a -> (a -> r) -> m ruses:: (MonadStates m,Monoidr) =>Traversal's a -> (a -> r) -> m r
uses::MonadStates m =>Gettingr s t a b -> (a -> r) -> m r
listening :: MonadWriter w m => Getting u w u -> m a -> m (a, u) Source #
This is a generalized form of listen that only extracts the portion of the log that is focused on by a Getter. If given a Fold or a Traversal then a monoidal summary of the parts of the log that are visited will be returned.
listening::MonadWriterw m =>Getterw u -> m a -> m (a, u)listening::MonadWriterw m =>Lens'w u -> m a -> m (a, u)listening::MonadWriterw m =>Iso'w u -> m a -> m (a, u)listening:: (MonadWriterw m,Monoidu) =>Foldw u -> m a -> m (a, u)listening:: (MonadWriterw m,Monoidu) =>Traversal'w u -> m a -> m (a, u)listening:: (MonadWriterw m,Monoidu) =>Prism'w u -> m a -> m (a, u)
listenings :: MonadWriter w m => Getting v w u -> (u -> v) -> m a -> m (a, v) Source #
This is a generalized form of listen that only extracts the portion of the log that is focused on by a Getter. If given a Fold or a Traversal then a monoidal summary of the parts of the log that are visited will be returned.
listenings::MonadWriterw m =>Getterw u -> (u -> v) -> m a -> m (a, v)listenings::MonadWriterw m =>Lens'w u -> (u -> v) -> m a -> m (a, v)listenings::MonadWriterw m =>Iso'w u -> (u -> v) -> m a -> m (a, v)listenings:: (MonadWriterw m,Monoidv) =>Foldw u -> (u -> v) -> m a -> m (a, v)listenings:: (MonadWriterw m,Monoidv) =>Traversal'w u -> (u -> v) -> m a -> m (a, v)listenings:: (MonadWriterw m,Monoidv) =>Prism'w u -> (u -> v) -> m a -> m (a, v)
Indexed Getters
Indexed Getter Combinators
(^@.) :: s -> IndexedGetting i (i, a) s a -> (i, a) infixl 8 Source #
View the index and value of an IndexedGetter or IndexedLens.
This is the same operation as iview with the arguments flipped.
The fixity and semantics are such that subsequent field accesses can be performed with (.).
(^@.) :: s ->IndexedGetteri s a -> (i, a) (^@.) :: s ->IndexedLens'i s a -> (i, a)
The result probably doesn't have much meaning when applied to an IndexedFold.
iview :: MonadReader s m => IndexedGetting i (i, a) s a -> m (i, a) Source #
View the index and value of an IndexedGetter into the current environment as a pair.
When applied to an IndexedFold the result will most likely be a nonsensical monoidal summary of the indices tupled with a monoidal summary of the values and probably not whatever it is you wanted.
iviews :: MonadReader s m => IndexedGetting i r s a -> (i -> a -> r) -> m r Source #
View a function of the index and value of an IndexedGetter into the current environment.
When applied to an IndexedFold the result will be a monoidal summary instead of a single answer.
iviews≡ifoldMapOf
iuse :: MonadState s m => IndexedGetting i (i, a) s a -> m (i, a) Source #
Use the index and value of an IndexedGetter into the current state as a pair.
When applied to an IndexedFold the result will most likely be a nonsensical monoidal summary of the indices tupled with a monoidal summary of the values and probably not whatever it is you wanted.
iuses :: MonadState s m => IndexedGetting i r s a -> (i -> a -> r) -> m r Source #
Use a function of the index and value of an IndexedGetter into the current state.
When applied to an IndexedFold the result will be a monoidal summary instead of a single answer.
ilistening :: MonadWriter w m => IndexedGetting i (i, u) w u -> m a -> m (a, (i, u)) Source #
This is a generalized form of listen that only extracts the portion of the log that is focused on by a Getter. If given a Fold or a Traversal then a monoidal summary of the parts of the log that are visited will be returned.
ilistening::MonadWriterw m =>IndexedGetteri w u -> m a -> m (a, (i, u))ilistening::MonadWriterw m =>IndexedLens'i w u -> m a -> m (a, (i, u))ilistening:: (MonadWriterw m,Monoidu) =>IndexedFoldi w u -> m a -> m (a, (i, u))ilistening:: (MonadWriterw m,Monoidu) =>IndexedTraversal'i w u -> m a -> m (a, (i, u))
ilistenings :: MonadWriter w m => IndexedGetting i v w u -> (i -> u -> v) -> m a -> m (a, v) Source #
This is a generalized form of listen that only extracts the portion of the log that is focused on by a Getter. If given a Fold or a Traversal then a monoidal summary of the parts of the log that are visited will be returned.
ilistenings::MonadWriterw m =>IndexedGetterw u -> (i -> u -> v) -> m a -> m (a, v)ilistenings::MonadWriterw m =>IndexedLens'w u -> (i -> u -> v) -> m a -> m (a, v)ilistenings:: (MonadWriterw m,Monoidv) =>IndexedFoldw u -> (i -> u -> v) -> m a -> m (a, v)ilistenings:: (MonadWriterw m,Monoidv) =>IndexedTraversal'w u -> (i -> u -> v) -> m a -> m (a, v)
Implementation Details
class Contravariant (f :: * -> *) where #
The class of contravariant functors.
Whereas in Haskell, one can think of a Functor as containing or producing values, a contravariant functor is a functor that can be thought of as consuming values.
As an example, consider the type of predicate functions a -> Bool. One such predicate might be negative x = x < 0, which classifies integers as to whether they are negative. However, given this predicate, we can re-use it in other situations, providing we have a way to map values to integers. For instance, we can use the negative predicate on a person's bank balance to work out if they are currently overdrawn:
newtype Predicate a = Predicate { getPredicate :: a -> Bool } instance Contravariant Predicate where contramap f (Predicate p) = Predicate (p . f) | `- First, map the input... `----- then apply the predicate. overdrawn :: Predicate Person overdrawn = contramap personBankBalance negative Any instance should be subject to the following laws:
contramap id = id contramap f . contramap g = contramap (g . f)
Note, that the second law follows from the free theorem of the type of contramap and the first law, so you need only check that the former condition holds.
Minimal complete definition
Instances
getting :: (Profunctor p, Profunctor q, Functor f, Contravariant f) => Optical p q f s t a b -> Optical' p q f s a Source #
Coerce a Getter-compatible Optical to an Optical'. This is useful when using a Traversal that is not simple as a Getter or a Fold.
getting::Traversals t a b ->Folds agetting::Lenss t a b ->Getters agetting::IndexedTraversali s t a b ->IndexedFoldi s agetting::IndexedLensi s t a b ->IndexedGetteri s a
newtype Const a (b :: k) :: forall k. * -> k -> * #
The Const functor.
Instances
| Generic1 (Const a :: k -> *) | |
| Bitraversable (Const :: * -> * -> *) | Since: base-4.10.0.0 |
Defined in Data.Bitraversable Methods bitraverse :: Applicative f => (a -> f c) -> (b -> f d) -> Const a b -> f (Const c d) # | |
| Bifoldable (Const :: * -> * -> *) | Since: base-4.10.0.0 |
| Bifunctor (Const :: * -> * -> *) | Since: base-4.8.0.0 |
| Eq2 (Const :: * -> * -> *) | Since: base-4.9.0.0 |
| Ord2 (Const :: * -> * -> *) | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
| Read2 (Const :: * -> * -> *) | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes Methods liftReadsPrec2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> Int -> ReadS (Const a b) # liftReadList2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [Const a b] # liftReadPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (Const a b) # liftReadListPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [Const a b] # | |
| Show2 (Const :: * -> * -> *) | Since: base-4.9.0.0 |
| Biapplicative (Const :: * -> * -> *) | |
Defined in Data.Biapplicative | |
| NFData2 (Const :: * -> * -> *) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| Hashable2 (Const :: * -> * -> *) | |
Defined in Data.Hashable.Class | |
| Bitraversable1 (Const :: * -> * -> *) | |
Defined in Data.Semigroup.Traversable.Class Methods bitraverse1 :: Apply f => (a -> f b) -> (c -> f d) -> Const a c -> f (Const b d) # bisequence1 :: Apply f => Const (f a) (f b) -> f (Const a b) # | |
| Bifoldable1 (Const :: * -> * -> *) | |
Defined in Data.Semigroup.Foldable.Class | |
| Biapply (Const :: * -> * -> *) | |
| Semigroupoid (Const :: * -> * -> *) | |
| Sieve (Forget r) (Const r :: * -> *) | |
Defined in Data.Profunctor.Sieve | |
| Functor (Const m :: * -> *) | Since: base-2.1 |
| Monoid m => Applicative (Const m :: * -> *) | Since: base-2.0.1 |
| Foldable (Const m :: * -> *) | Since: base-4.7.0.0 |
Defined in Data.Functor.Const Methods fold :: Monoid m0 => Const m m0 -> m0 # foldMap :: Monoid m0 => (a -> m0) -> Const m a -> m0 # foldr :: (a -> b -> b) -> b -> Const m a -> b # foldr' :: (a -> b -> b) -> b -> Const m a -> b # foldl :: (b -> a -> b) -> b -> Const m a -> b # foldl' :: (b -> a -> b) -> b -> Const m a -> b # foldr1 :: (a -> a -> a) -> Const m a -> a # foldl1 :: (a -> a -> a) -> Const m a -> a # elem :: Eq a => a -> Const m a -> Bool # maximum :: Ord a => Const m a -> a # minimum :: Ord a => Const m a -> a # | |
| Traversable (Const m :: * -> *) | Since: base-4.7.0.0 |
| Contravariant (Const a :: * -> *) | |
| Eq a => Eq1 (Const a :: * -> *) | Since: base-4.9.0.0 |
| Ord a => Ord1 (Const a :: * -> *) | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
| Read a => Read1 (Const a :: * -> *) | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes Methods liftReadsPrec :: (Int -> ReadS a0) -> ReadS [a0] -> Int -> ReadS (Const a a0) # liftReadList :: (Int -> ReadS a0) -> ReadS [a0] -> ReadS [Const a a0] # liftReadPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec (Const a a0) # liftReadListPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec [Const a a0] # | |
| Show a => Show1 (Const a :: * -> *) | Since: base-4.9.0.0 |
| NFData a => NFData1 (Const a :: * -> *) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| Hashable a => Hashable1 (Const a :: * -> *) | |
Defined in Data.Hashable.Class | |
| Semigroup m => Apply (Const m :: * -> *) | |
| ComonadCofree (Const b :: * -> *) ((,) b) | |
Defined in Control.Comonad.Cofree.Class | |
| Bounded a => Bounded (Const a b) | |
| Enum a => Enum (Const a b) | |
Defined in Data.Functor.Const Methods succ :: Const a b -> Const a b # pred :: Const a b -> Const a b # fromEnum :: Const a b -> Int # enumFrom :: Const a b -> [Const a b] # enumFromThen :: Const a b -> Const a b -> [Const a b] # enumFromTo :: Const a b -> Const a b -> [Const a b] # enumFromThenTo :: Const a b -> Const a b -> Const a b -> [Const a b] # | |
| Eq a => Eq (Const a b) | |
| Floating a => Floating (Const a b) | |
Defined in Data.Functor.Const Methods exp :: Const a b -> Const a b # log :: Const a b -> Const a b # sqrt :: Const a b -> Const a b # (**) :: Const a b -> Const a b -> Const a b # logBase :: Const a b -> Const a b -> Const a b # sin :: Const a b -> Const a b # cos :: Const a b -> Const a b # tan :: Const a b -> Const a b # asin :: Const a b -> Const a b # acos :: Const a b -> Const a b # atan :: Const a b -> Const a b # sinh :: Const a b -> Const a b # cosh :: Const a b -> Const a b # tanh :: Const a b -> Const a b # asinh :: Const a b -> Const a b # acosh :: Const a b -> Const a b # atanh :: Const a b -> Const a b # log1p :: Const a b -> Const a b # expm1 :: Const a b -> Const a b # | |
| Fractional a => Fractional (Const a b) | |
| Integral a => Integral (Const a b) | |
Defined in Data.Functor.Const Methods quot :: Const a b -> Const a b -> Const a b # rem :: Const a b -> Const a b -> Const a b # div :: Const a b -> Const a b -> Const a b # mod :: Const a b -> Const a b -> Const a b # quotRem :: Const a b -> Const a b -> (Const a b, Const a b) # divMod :: Const a b -> Const a b -> (Const a b, Const a b) # | |
| (Typeable k, Data a, Typeable b) => Data (Const a b) | Since: base-4.10.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b0. Data d => c (d -> b0) -> d -> c b0) -> (forall g. g -> c g) -> Const a b -> c (Const a b) # gunfold :: (forall b0 r. Data b0 => c (b0 -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Const a b) # toConstr :: Const a b -> Constr # dataTypeOf :: Const a b -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Const a b)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Const a b)) # gmapT :: (forall b0. Data b0 => b0 -> b0) -> Const a b -> Const a b # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Const a b -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Const a b -> r # gmapQ :: (forall d. Data d => d -> u) -> Const a b -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Const a b -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Const a b -> m (Const a b) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Const a b -> m (Const a b) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Const a b -> m (Const a b) # | |
| Num a => Num (Const a b) | |
Defined in Data.Functor.Const | |
| Ord a => Ord (Const a b) | |
| Read a => Read (Const a b) | This instance would be equivalent to the derived instances of the Since: base-4.8.0.0 |
| Real a => Real (Const a b) | |
Defined in Data.Functor.Const Methods toRational :: Const a b -> Rational # | |
| RealFloat a => RealFloat (Const a b) | |
Defined in Data.Functor.Const Methods floatRadix :: Const a b -> Integer # floatDigits :: Const a b -> Int # floatRange :: Const a b -> (Int, Int) # decodeFloat :: Const a b -> (Integer, Int) # encodeFloat :: Integer -> Int -> Const a b # exponent :: Const a b -> Int # significand :: Const a b -> Const a b # scaleFloat :: Int -> Const a b -> Const a b # isInfinite :: Const a b -> Bool # isDenormalized :: Const a b -> Bool # isNegativeZero :: Const a b -> Bool # | |
| RealFrac a => RealFrac (Const a b) | |
| Show a => Show (Const a b) | This instance would be equivalent to the derived instances of the Since: base-4.8.0.0 |
| Ix a => Ix (Const a b) | |
Defined in Data.Functor.Const Methods range :: (Const a b, Const a b) -> [Const a b] # index :: (Const a b, Const a b) -> Const a b -> Int # unsafeIndex :: (Const a b, Const a b) -> Const a b -> Int inRange :: (Const a b, Const a b) -> Const a b -> Bool # rangeSize :: (Const a b, Const a b) -> Int # unsafeRangeSize :: (Const a b, Const a b) -> Int | |
| Generic (Const a b) | |
| Semigroup a => Semigroup (Const a b) | |
| Monoid a => Monoid (Const a b) | |
| Storable a => Storable (Const a b) | |
Defined in Data.Functor.Const | |
| Bits a => Bits (Const a b) | |
Defined in Data.Functor.Const Methods (.&.) :: Const a b -> Const a b -> Const a b # (.|.) :: Const a b -> Const a b -> Const a b # xor :: Const a b -> Const a b -> Const a b # complement :: Const a b -> Const a b # shift :: Const a b -> Int -> Const a b # rotate :: Const a b -> Int -> Const a b # setBit :: Const a b -> Int -> Const a b # clearBit :: Const a b -> Int -> Const a b # complementBit :: Const a b -> Int -> Const a b # testBit :: Const a b -> Int -> Bool # bitSizeMaybe :: Const a b -> Maybe Int # isSigned :: Const a b -> Bool # shiftL :: Const a b -> Int -> Const a b # unsafeShiftL :: Const a b -> Int -> Const a b # shiftR :: Const a b -> Int -> Const a b # unsafeShiftR :: Const a b -> Int -> Const a b # rotateL :: Const a b -> Int -> Const a b # | |
| FiniteBits a => FiniteBits (Const a b) | |
Defined in Data.Functor.Const Methods finiteBitSize :: Const a b -> Int # countLeadingZeros :: Const a b -> Int # countTrailingZeros :: Const a b -> Int # | |
| NFData a => NFData (Const a b) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| Hashable a => Hashable (Const a b) | |
Defined in Data.Hashable.Class | |
| Wrapped (Const a x) Source # | |
| t ~ Const a' x' => Rewrapped (Const a x) t Source # | |
Defined in Control.Lens.Wrapped | |
| type Rep1 (Const a :: k -> *) | |
Defined in Data.Functor.Const | |
| type Rep (Const a b) | |
Defined in Data.Functor.Const | |
| type Unwrapped (Const a x) Source # | |
Defined in Control.Lens.Wrapped | |