Copyright	(C) 2012-2016 Edward Kmett
License	BSD-style (see the file LICENSE)
Maintainer	Edward Kmett <ekmett@gmail.com>
Stability	experimental
Portability	non-portable
Safe Haskell	Safe
Language	Haskell2010

Control.Lens.Internal.Indexed

Contents

An Indexed Profunctor
Classes
Indexing
64-bit Indexing
Converting to Folds

Description

Internal implementation details for Indexed lens-likes

Synopsis

newtype Indexed i a b = Indexed {
- runIndexed :: i -> a -> b
}
class (Choice p, Corepresentable p, Comonad (Corep p), Traversable (Corep p), Strong p, Representable p, Monad (Rep p), MonadFix (Rep p), Distributive (Rep p), Costrong p, ArrowLoop p, ArrowApply p, ArrowChoice p, Closed p) => Conjoined p where
- distrib :: Functor f => p a b -> p (f a) (f b)
- conjoined :: (p ~ (->) => q (a -> b) r) -> q (p a b) r -> q (p a b) r
class Conjoined p => Indexable i p where
- indexed :: p a b -> i -> a -> b
newtype Indexing f a = Indexing {
- runIndexing :: Int -> (Int, f a)
}
indexing :: Indexable Int p => ((a -> Indexing f b) -> s -> Indexing f t) -> p a (f b) -> s -> f t
newtype Indexing64 f a = Indexing64 {
- runIndexing64 :: Int64 -> (Int64, f a)
}
indexing64 :: Indexable Int64 p => ((a -> Indexing64 f b) -> s -> Indexing64 f t) -> p a (f b) -> s -> f t
withIndex :: (Indexable i p, Functor f) => p (i, s) (f (j, t)) -> Indexed i s (f t)
asIndex :: (Indexable i p, Contravariant f, Functor f) => p i (f i) -> Indexed i s (f s)

An Indexed Profunctor

newtype Indexed i a b Source #

A function with access to a index. This constructor may be useful when you need to store an Indexable in a container to avoid ImpredicativeTypes.

index :: Indexed i a b -> i -> a -> b

Constructors

Indexed
Fields runIndexed :: i -> a -> b

Instances

i ~ j => Indexable i (Indexed j) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods indexed :: Indexed j a b -> i -> a -> b Source #
Arrow (Indexed i) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods arr :: (b -> c) -> Indexed i b c # first :: Indexed i b c -> Indexed i (b, d) (c, d) # second :: Indexed i b c -> Indexed i (d, b) (d, c) # (***) :: Indexed i b c -> Indexed i b' c' -> Indexed i (b, b') (c, c') # (&&&) :: Indexed i b c -> Indexed i b c' -> Indexed i b (c, c') #
ArrowChoice (Indexed i) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods left :: Indexed i b c -> Indexed i (Either b d) (Either c d) # right :: Indexed i b c -> Indexed i (Either d b) (Either d c) # (+++) :: Indexed i b c -> Indexed i b' c' -> Indexed i (Either b b') (Either c c') # (\|\|\|) :: Indexed i b d -> Indexed i c d -> Indexed i (Either b c) d #
ArrowApply (Indexed i) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods app :: Indexed i (Indexed i b c, b) c #
ArrowLoop (Indexed i) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods loop :: Indexed i (b, d) (c, d) -> Indexed i b c #
Profunctor (Indexed i) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods dimap :: (a -> b) -> (c -> d) -> Indexed i b c -> Indexed i a d # lmap :: (a -> b) -> Indexed i b c -> Indexed i a c # rmap :: (b -> c) -> Indexed i a b -> Indexed i a c # (#.) :: Coercible c b => q b c -> Indexed i a b -> Indexed i a c # (.#) :: Coercible b a => Indexed i b c -> q a b -> Indexed i a c #
Representable (Indexed i) Source #
Instance details Defined in Control.Lens.Internal.Indexed Associated Types type Rep (Indexed i) :: Type -> Type # Methods tabulate :: (d -> Rep (Indexed i) c) -> Indexed i d c #
Corepresentable (Indexed i) Source #
Instance details Defined in Control.Lens.Internal.Indexed Associated Types type Corep (Indexed i) :: Type -> Type # Methods cotabulate :: (Corep (Indexed i) d -> c) -> Indexed i d c #
Choice (Indexed i) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods left' :: Indexed i a b -> Indexed i (Either a c) (Either b c) # right' :: Indexed i a b -> Indexed i (Either c a) (Either c b) #
Closed (Indexed i) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods closed :: Indexed i a b -> Indexed i (x -> a) (x -> b) #
Strong (Indexed i) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods first' :: Indexed i a b -> Indexed i (a, c) (b, c) # second' :: Indexed i a b -> Indexed i (c, a) (c, b) #
Costrong (Indexed i) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods unfirst :: Indexed i (a, d) (b, d) -> Indexed i a b # unsecond :: Indexed i (d, a) (d, b) -> Indexed i a b #
Conjoined (Indexed i) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods distrib :: Functor f => Indexed i a b -> Indexed i (f a) (f b) Source # conjoined :: ((Indexed i ~ (->)) -> q (a -> b) r) -> q (Indexed i a b) r -> q (Indexed i a b) r Source #
Bizarre (Indexed Int) Mafic Source #
Instance details Defined in Control.Lens.Internal.Magma Methods bazaar :: Applicative f => Indexed Int a (f b) -> Mafic a b t -> f t Source #
Category (Indexed i :: Type -> Type -> Type) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods id :: Indexed i a a # (.) :: Indexed i b c -> Indexed i a b -> Indexed i a c #
Cosieve (Indexed i) ((,) i) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods cosieve :: Indexed i a b -> (i, a) -> b #
Sellable (Indexed i) (Molten i) Source #
Instance details Defined in Control.Lens.Internal.Magma Methods sell :: Indexed i a (Molten i a b b) Source #
Bizarre (Indexed i) (Molten i) Source #
Instance details Defined in Control.Lens.Internal.Magma Methods bazaar :: Applicative f => Indexed i a (f b) -> Molten i a b t -> f t Source #
Sieve (Indexed i) ((->) i :: Type -> Type) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods sieve :: Indexed i a b -> a -> i -> b #
Monad (Indexed i a) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods (>>=) :: Indexed i a a0 -> (a0 -> Indexed i a b) -> Indexed i a b # (>>) :: Indexed i a a0 -> Indexed i a b -> Indexed i a b # return :: a0 -> Indexed i a a0 # fail :: String -> Indexed i a a0 #
Functor (Indexed i a) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods fmap :: (a0 -> b) -> Indexed i a a0 -> Indexed i a b # (<$) :: a0 -> Indexed i a b -> Indexed i a a0 #
MonadFix (Indexed i a) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods mfix :: (a0 -> Indexed i a a0) -> Indexed i a a0 #
Applicative (Indexed i a) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods pure :: a0 -> Indexed i a a0 # (<>) :: Indexed i a (a0 -> b) -> Indexed i a a0 -> Indexed i a b # liftA2 :: (a0 -> b -> c) -> Indexed i a a0 -> Indexed i a b -> Indexed i a c # (>) :: Indexed i a a0 -> Indexed i a b -> Indexed i a b # (<*) :: Indexed i a a0 -> Indexed i a b -> Indexed i a a0 #
Apply (Indexed i a) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods (<.>) :: Indexed i a (a0 -> b) -> Indexed i a a0 -> Indexed i a b # (.>) :: Indexed i a a0 -> Indexed i a b -> Indexed i a b # (<.) :: Indexed i a a0 -> Indexed i a b -> Indexed i a a0 # liftF2 :: (a0 -> b -> c) -> Indexed i a a0 -> Indexed i a b -> Indexed i a c #
Bind (Indexed i a) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods (>>-) :: Indexed i a a0 -> (a0 -> Indexed i a b) -> Indexed i a b # join :: Indexed i a (Indexed i a a0) -> Indexed i a a0 #
type Rep (Indexed i) Source #
Instance details Defined in Control.Lens.Internal.Indexed type Rep (Indexed i) = ((->) i :: Type -> Type)
type Corep (Indexed i) Source #
Instance details Defined in Control.Lens.Internal.Indexed type Corep (Indexed i) = (,) i

Classes

class (Choice p, Corepresentable p, Comonad (Corep p), Traversable (Corep p), Strong p, Representable p, Monad (Rep p), MonadFix (Rep p), Distributive (Rep p), Costrong p, ArrowLoop p, ArrowApply p, ArrowChoice p, Closed p) => Conjoined p where Source #

This is a Profunctor that is both Corepresentable by f and Representable by g such that f is left adjoint to g. From this you can derive a lot of structure due to the preservation of limits and colimits.

Minimal complete definition

Nothing

Methods

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

Conjoined is strong enough to let us distribute every Conjoined Profunctor over every Haskell Functor. This is effectively a generalization of fmap.

conjoined :: (p ~ (->) => q (a -> b) r) -> q (p a b) r -> q (p a b) r Source #

This permits us to make a decision at an outermost point about whether or not we use an index.

Ideally any use of this function should be done in such a way so that you compute the same answer, but this cannot be enforced at the type level.

Instances

Conjoined ReifiedGetter Source #
Instance details Defined in Control.Lens.Reified Methods distrib :: Functor f => ReifiedGetter a b -> ReifiedGetter (f a) (f b) Source # conjoined :: ((ReifiedGetter ~ (->)) -> q (a -> b) r) -> q (ReifiedGetter a b) r -> q (ReifiedGetter a b) r Source #
Conjoined (Indexed i) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods distrib :: Functor f => Indexed i a b -> Indexed i (f a) (f b) Source # conjoined :: ((Indexed i ~ (->)) -> q (a -> b) r) -> q (Indexed i a b) r -> q (Indexed i a b) r Source #
Conjoined ((->) :: Type -> Type -> Type) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods distrib :: Functor f => (a -> b) -> f a -> f b Source # conjoined :: (((->) ~ (->)) -> q (a -> b) r) -> q (a -> b) r -> q (a -> b) r Source #

class Conjoined p => Indexable i p where Source #

This class permits overloading of function application for things that also admit a notion of a key or index.

Methods

indexed :: p a b -> i -> a -> b Source #

Build a function from an indexed function.

Instances

i ~ j => Indexable i (Indexed j) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods indexed :: Indexed j a b -> i -> a -> b Source #
Indexable i ((->) :: Type -> Type -> Type) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods indexed :: (a -> b) -> i -> a -> b Source #

Indexing

newtype Indexing f a Source #

Applicative composition of State Int with a Functor, used by indexed.

Constructors

Indexing
Fields runIndexing :: Int -> (Int, f a)

Instances

Functor f => Functor (Indexing f) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods fmap :: (a -> b) -> Indexing f a -> Indexing f b # (<$) :: a -> Indexing f b -> Indexing f a #
Applicative f => Applicative (Indexing f) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods pure :: a -> Indexing f a # (<>) :: Indexing f (a -> b) -> Indexing f a -> Indexing f b # liftA2 :: (a -> b -> c) -> Indexing f a -> Indexing f b -> Indexing f c # (>) :: Indexing f a -> Indexing f b -> Indexing f b # (<*) :: Indexing f a -> Indexing f b -> Indexing f a #
Contravariant f => Contravariant (Indexing f) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods contramap :: (a -> b) -> Indexing f b -> Indexing f a # (>$) :: b -> Indexing f b -> Indexing f a #
Apply f => Apply (Indexing f) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods (<.>) :: Indexing f (a -> b) -> Indexing f a -> Indexing f b # (.>) :: Indexing f a -> Indexing f b -> Indexing f b # (<.) :: Indexing f a -> Indexing f b -> Indexing f a # liftF2 :: (a -> b -> c) -> Indexing f a -> Indexing f b -> Indexing f c #
Semigroup (f a) => Semigroup (Indexing f a) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods (<>) :: Indexing f a -> Indexing f a -> Indexing f a # sconcat :: NonEmpty (Indexing f a) -> Indexing f a # stimes :: Integral b => b -> Indexing f a -> Indexing f a #
Monoid (f a) => Monoid (Indexing f a) Source #	`>>>` `"cat" ^@.. (folded <> folded)`[(0,'c'),(1,'a'),(2,'t'),(0,'c'),(1,'a'),(2,'t')] `>>>` `"cat" ^@.. indexing (folded <> folded)`[(0,'c'),(1,'a'),(2,'t'),(3,'c'),(4,'a'),(5,'t')]
Instance details Defined in Control.Lens.Internal.Indexed Methods mempty :: Indexing f a # mappend :: Indexing f a -> Indexing f a -> Indexing f a # mconcat :: [Indexing f a] -> Indexing f a #

indexing :: Indexable Int p => ((a -> Indexing f b) -> s -> Indexing f t) -> p a (f b) -> s -> f t Source #

Transform a Traversal into an IndexedTraversal or a Fold into an IndexedFold, etc.

indexing :: Traversal s t a b -> IndexedTraversal Int s t a b
indexing :: Prism s t a b     -> IndexedTraversal Int s t a b
indexing :: Lens s t a b      -> IndexedLens Int  s t a b
indexing :: Iso s t a b       -> IndexedLens Int s t a b
indexing :: Fold s a          -> IndexedFold Int s a
indexing :: Getter s a        -> IndexedGetter Int s a

indexing :: Indexable Int p => LensLike (Indexing f) s t a b -> Over p f s t a b

64-bit Indexing

newtype Indexing64 f a Source #

Applicative composition of State Int64 with a Functor, used by indexed64.

Constructors

Indexing64
Fields runIndexing64 :: Int64 -> (Int64, f a)

Instances

Functor f => Functor (Indexing64 f) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods fmap :: (a -> b) -> Indexing64 f a -> Indexing64 f b # (<$) :: a -> Indexing64 f b -> Indexing64 f a #
Applicative f => Applicative (Indexing64 f) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods pure :: a -> Indexing64 f a # (<>) :: Indexing64 f (a -> b) -> Indexing64 f a -> Indexing64 f b # liftA2 :: (a -> b -> c) -> Indexing64 f a -> Indexing64 f b -> Indexing64 f c # (>) :: Indexing64 f a -> Indexing64 f b -> Indexing64 f b # (<*) :: Indexing64 f a -> Indexing64 f b -> Indexing64 f a #
Contravariant f => Contravariant (Indexing64 f) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods contramap :: (a -> b) -> Indexing64 f b -> Indexing64 f a # (>$) :: b -> Indexing64 f b -> Indexing64 f a #
Apply f => Apply (Indexing64 f) Source #
Instance details Defined in Control.Lens.Internal.Indexed Methods (<.>) :: Indexing64 f (a -> b) -> Indexing64 f a -> Indexing64 f b # (.>) :: Indexing64 f a -> Indexing64 f b -> Indexing64 f b # (<.) :: Indexing64 f a -> Indexing64 f b -> Indexing64 f a # liftF2 :: (a -> b -> c) -> Indexing64 f a -> Indexing64 f b -> Indexing64 f c #

indexing64 :: Indexable Int64 p => ((a -> Indexing64 f b) -> s -> Indexing64 f t) -> p a (f b) -> s -> f t Source #

Transform a Traversal into an IndexedTraversal or a Fold into an IndexedFold, etc.

This combinator is like indexing except that it handles large traversals and folds gracefully.

indexing64 :: Traversal s t a b -> IndexedTraversal Int64 s t a b
indexing64 :: Prism s t a b     -> IndexedTraversal Int64 s t a b
indexing64 :: Lens s t a b      -> IndexedLens Int64 s t a b
indexing64 :: Iso s t a b       -> IndexedLens Int64 s t a b
indexing64 :: Fold s a          -> IndexedFold Int64 s a
indexing64 :: Getter s a        -> IndexedGetter Int64 s a

indexing64 :: Indexable Int64 p => LensLike (Indexing64 f) s t a b -> Over p f s t a b

Converting to Folds

withIndex :: (Indexable i p, Functor f) => p (i, s) (f (j, t)) -> Indexed i s (f t) Source #

Fold a container with indices returning both the indices and the values.

The result is only valid to compose in a Traversal, if you don't edit the index as edits to the index have no effect.

>>> [10, 20, 30] ^.. ifolded . withIndex
[(0,10),(1,20),(2,30)]

>>> [10, 20, 30] ^.. ifolded . withIndex . alongside negated (re _Show)
[(0,"10"),(-1,"20"),(-2,"30")]

asIndex :: (Indexable i p, Contravariant f, Functor f) => p i (f i) -> Indexed i s (f s) Source #

When composed with an IndexedFold or IndexedTraversal this yields an (Indexed) Fold of the indices.