Control.Lens.Internal.Bazaar

Documentation

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

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 t

Instances

Profunctor p => Bizarre p (Bazaar p)

Profunctor p => Bizarre p (BazaarT p g)

Corepresentable p => Bizarre p (TakingWhile p g)

Bizarre (Indexed Int) Mafic

Bizarre (Indexed i) (Molten i)

newtype Bazaar p a b t

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)

Conjoined p => IndexedComonad (Bazaar p)

IndexedFunctor (Bazaar p)

Functor (Bazaar p a b)

Applicative (Bazaar p a b)

(~ * a b, Conjoined p) => Comonad (Bazaar p a b)

(~ * a b, Conjoined p) => ComonadApply (Bazaar p a b)

Apply (Bazaar p a b)

type Bazaar' p a = Bazaar p a a

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

BazaarT is like Bazaar, except that it provides a questionable Contravariant instance To protect this instance it relies on the soundness of another Contravariant 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)

Conjoined p => IndexedComonad (BazaarT p g)

IndexedFunctor (BazaarT p g)

Functor (BazaarT p g a b)

Applicative (BazaarT p g a b)

(~ * a b, Conjoined p) => Comonad (BazaarT p g a b)

(~ * a b, Conjoined p) => ComonadApply (BazaarT p g a b)

(Profunctor p, Contravariant g) => Contravariant (BazaarT p g a b)

Apply (BazaarT p g a b)

Contravariant g => Monoid (BazaarT p g a b t)

Contravariant g => Semigroup (BazaarT p g a b t)

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

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

class Profunctor p => Bizarre1 p w | w -> p where

Methods

bazaar1 :: Apply f => p a (f b) -> w a b t -> f t

Instances

Profunctor p => Bizarre1 p (Bazaar1 p)

Profunctor p => Bizarre1 p (BazaarT1 p g)

newtype Bazaar1 p a b t

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 Bazaar1 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 Bazaar1 a b t holds N as and a function from N bs to t, (where N might be infinite).

Mnemonically, a Bazaar1 holds many stores and you can easily add more.

This is a final encoding of Bazaar1.

Constructors

Bazaar1

Fields

runBazaar1 :: forall f. Apply f => p a (f b) -> f t

Instances

Corepresentable p => Sellable p (Bazaar1 p)

Profunctor p => Bizarre1 p (Bazaar1 p)

Conjoined p => IndexedComonad (Bazaar1 p)

IndexedFunctor (Bazaar1 p)

Functor (Bazaar1 p a b)

(~ * a b, Conjoined p) => Comonad (Bazaar1 p a b)

(~ * a b, Conjoined p) => ComonadApply (Bazaar1 p a b)

Apply (Bazaar1 p a b)

type Bazaar1' p a = Bazaar1 p a a

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

 type Bazaar1' p a t = Bazaar1 p a a t

newtype BazaarT1 p g a b t

BazaarT1 is like Bazaar1, except that it provides a questionable Contravariant instance To protect this instance it relies on the soundness of another Contravariant type, and usage conventions.

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

Constructors

BazaarT1

Fields

runBazaarT1 :: forall f. Apply f => p a (f b) -> f t

Instances

Corepresentable p => Sellable p (BazaarT1 p g)

Profunctor p => Bizarre1 p (BazaarT1 p g)

Conjoined p => IndexedComonad (BazaarT1 p g)

IndexedFunctor (BazaarT1 p g)

Functor (BazaarT1 p g a b)

(~ * a b, Conjoined p) => Comonad (BazaarT1 p g a b)

(~ * a b, Conjoined p) => ComonadApply (BazaarT1 p g a b)

(Profunctor p, Contravariant g) => Contravariant (BazaarT1 p g a b)

Apply (BazaarT1 p g a b)

Contravariant g => Semigroup (BazaarT1 p g a b t)

type BazaarT1' p g a = BazaarT1 p g a a

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

 type BazaarT1' p g a t = BazaarT1 p g a a t