lens-3.8.1: Lenses, Folds and Traversals

Portabilitynon-portable
Stabilityexperimental
MaintainerEdward Kmett <ekmett@gmail.com>
Safe HaskellTrustworthy

Control.Lens.Internal.Bazaar

Description

 

Synopsis

Documentation

class Profunctor p => Bizarre p w | w -> p whereSource

This class is used to run the various Bazaar variants used in this library.

Methods

bazaar :: Applicative f => p a (f b) -> w a b t -> f tSource

newtype Bazaar p a b t Source

This is used to characterize a Traversal.

a.k.a. indexed Cartesian store comonad, indexed Kleene store comonad, or an indexed FunList.

http://twanvl.nl/blog/haskell/non-regular1

A Bazaar is like a Traversal that has already been applied to some structure.

Where a Context a b t holds an a and a function from b to t, a Bazaar a b t holds N as and a function from N bs to t, (where N might be infinite).

Mnemonically, a Bazaar holds many stores and you can easily add more.

This is a final encoding of Bazaar.

Constructors

Bazaar 

Fields

runBazaar :: forall f. Applicative f => p a (f b) -> f t
 

Instances

Corepresentable p => Sellable p (Bazaar p) 
Profunctor p => Bizarre p (Bazaar p) 
(IndexedFunctor (Bazaar p), Conjoined p) => IndexedComonad (Bazaar p) 
IndexedFunctor (Bazaar p) 
Functor (Bazaar p a b) 
Functor (Bazaar p a b) => Applicative (Bazaar p a b) 
(Functor (Bazaar p a b), ~ * a b, Conjoined p) => Comonad (Bazaar p a b) 
(Comonad (Bazaar p a b), ~ * a b, Conjoined p) => ComonadApply (Bazaar p a b) 
Functor (Bazaar p a b) => Apply (Bazaar p a b) 

type Bazaar' p a = Bazaar p a aSource

This alias is helpful when it comes to reducing repetition in type signatures.

 type Bazaar' p a t = Bazaar p a a t

newtype BazaarT p g a b t Source

BazaarT is like Bazaar, except that it provides a questionable Gettable instance To protect this instance it relies on the soundness of another Gettable type, and usage conventions.

For example. This lets us write a suitably polymorphic and lazy taking, but there must be a better way!

Constructors

BazaarT 

Fields

runBazaarT :: forall f. Applicative f => p a (f b) -> f t
 

Instances

Corepresentable p => Sellable p (BazaarT p g) 
Profunctor p => Bizarre p (BazaarT p g) 
(IndexedFunctor (BazaarT p g), Conjoined p) => IndexedComonad (BazaarT p g) 
IndexedFunctor (BazaarT p g) 
Functor (BazaarT p g a b) 
Functor (BazaarT p g a b) => Applicative (BazaarT p g a b) 
(Functor (BazaarT p g a b), ~ * a b, Conjoined p) => Comonad (BazaarT p g a b) 
(Comonad (BazaarT p g a b), ~ * a b, Conjoined p) => ComonadApply (BazaarT p g a b) 
Functor (BazaarT p g a b) => Apply (BazaarT p g a b) 
(Functor (BazaarT p g a b), Profunctor p, Gettable g) => Gettable (BazaarT p g a b) 

type BazaarT' p g a = BazaarT p g a aSource

This alias is helpful when it comes to reducing repetition in type signatures.

 type BazaarT' p g a t = BazaarT p g a a t