Copyright	(c) Edward Kmett & Sjoerd Visscher 2011
License	BSD3
Maintainer	ekmett@gmail.com
Stability	experimental
Safe Haskell	None
Language	Haskell98

Control.Comonad.Representable.Store

Description

This is a generalized Store Comonad, parameterized by a Representable Functor. The representation of that Functor serves as the index of the store.

This can be useful if the representable functor serves to memoize its contents and will be inspected often.

Synopsis

Documentation

type Store g = StoreT g Identity #

A memoized store comonad parameterized by a representable functor g, where the representatation of g, Rep g is the index of the store.

store #

Arguments

:: Representable g
=> (Rep g -> a)	computation
-> Rep g	index
-> Store g a

Construct a store comonad computation from a function and a current index. (The inverse of runStore.)

runStore #

Arguments

:: Representable g
=> Store g a	a store to access
-> (Rep g -> a, Rep g)	initial state

Unwrap a state monad computation as a function. (The inverse of state.)

data StoreT g w a #

A store transformer comonad parameterized by:

g - A representable functor used to memoize results for an index Rep g
w - The inner comonad.

Constructors

StoreT (w (g a)) (Rep g)

Instances

(ComonadTraced m w, Representable g) => ComonadTraced m (StoreT g w) #
Methods trace :: m -> StoreT g w a -> a #
(Comonad w, Representable g, (~) * (Rep g) s) => ComonadStore s (StoreT g w) #
Methods pos :: StoreT g w a -> s # peek :: s -> StoreT g w a -> a # peeks :: (s -> s) -> StoreT g w a -> a # seek :: s -> StoreT g w a -> StoreT g w a # seeks :: (s -> s) -> StoreT g w a -> StoreT g w a # experiment :: Functor f => (s -> f s) -> StoreT g w a -> f a #
(ComonadEnv m w, Representable g) => ComonadEnv m (StoreT g w) #
Methods ask :: StoreT g w a -> m #
(Representable g, ComonadCofree f w) => ComonadCofree f (StoreT g w) #
Methods unwrap :: StoreT g w a -> f (StoreT g w a)
Representable g => ComonadTrans (StoreT g) #
Methods lower :: Comonad w => StoreT g w a -> w a #
ComonadHoist (StoreT g) #
Methods cohoist :: (Comonad w, Comonad v) => (forall x. w x -> v x) -> StoreT g w a -> StoreT g v a #
(Functor w, Functor g) => Functor (StoreT g w) #
Methods fmap :: (a -> b) -> StoreT g w a -> StoreT g w b # (<$) :: a -> StoreT g w b -> StoreT g w a #
(Applicative w, Monoid (Rep g), Representable g) => Applicative (StoreT g w) #
Methods pure :: a -> StoreT g w a # (<>) :: StoreT g w (a -> b) -> StoreT g w a -> StoreT g w b # (>) :: StoreT g w a -> StoreT g w b -> StoreT g w b # (<*) :: StoreT g w a -> StoreT g w b -> StoreT g w a #
(Comonad w, Representable g) => Comonad (StoreT g w) #
Methods extract :: StoreT g w a -> a # duplicate :: StoreT g w a -> StoreT g w (StoreT g w a) # extend :: (StoreT g w a -> b) -> StoreT g w a -> StoreT g w b #
(ComonadApply w, Semigroup (Rep g), Representable g) => ComonadApply (StoreT g w) #
Methods (<@>) :: StoreT g w (a -> b) -> StoreT g w a -> StoreT g w b # (@>) :: StoreT g w a -> StoreT g w b -> StoreT g w b # (<@) :: StoreT g w a -> StoreT g w b -> StoreT g w a #
(Extend w, Representable g) => Extend (StoreT g w) #
Methods duplicated :: StoreT g w a -> StoreT g w (StoreT g w a) extended :: (StoreT g w a -> b) -> StoreT g w a -> StoreT g w b
(Apply w, Semigroup (Rep g), Representable g) => Apply (StoreT g w) #
Methods (<.>) :: StoreT g w (a -> b) -> StoreT g w a -> StoreT g w b (.>) :: StoreT g w a -> StoreT g w b -> StoreT g w b (<.) :: StoreT g w a -> StoreT g w b -> StoreT g w a

storeT :: (Functor w, Representable g) => w (Rep g -> a) -> Rep g -> StoreT g w a #

runStoreT :: (Functor w, Representable g) => StoreT g w a -> (w (Rep g -> a), Rep g) #

class Comonad w => ComonadStore s w | w -> s where #

Minimal complete definition

pos, peek

Methods

pos :: w a -> s #

peek :: s -> w a -> a #

peeks :: (s -> s) -> w a -> a #

seek :: s -> w a -> w a #

seeks :: (s -> s) -> w a -> w a #

experiment :: Functor f => (s -> f s) -> w a -> f a #

Instances

ComonadStore s w => ComonadStore s (Cofree w)
Methods pos :: Cofree w a -> s # peek :: s -> Cofree w a -> a # peeks :: (s -> s) -> Cofree w a -> a # seek :: s -> Cofree w a -> Cofree w a # seeks :: (s -> s) -> Cofree w a -> Cofree w a # experiment :: Functor f => (s -> f s) -> Cofree w a -> f a #
(Comonad w, Representable g, (~) * (Rep g) s) => ComonadStore s (StoreT g w) #
Methods pos :: StoreT g w a -> s # peek :: s -> StoreT g w a -> a # peeks :: (s -> s) -> StoreT g w a -> a # seek :: s -> StoreT g w a -> StoreT g w a # seeks :: (s -> s) -> StoreT g w a -> StoreT g w a # experiment :: Functor f => (s -> f s) -> StoreT g w a -> f a #
(ComonadStore s w, Monoid m) => ComonadStore s (TracedT m w)
Methods pos :: TracedT m w a -> s # peek :: s -> TracedT m w a -> a # peeks :: (s -> s) -> TracedT m w a -> a # seek :: s -> TracedT m w a -> TracedT m w a # seeks :: (s -> s) -> TracedT m w a -> TracedT m w a # experiment :: Functor f => (s -> f s) -> TracedT m w a -> f a #
Comonad w => ComonadStore s (StoreT s w)
Methods pos :: StoreT s w a -> s # peek :: s -> StoreT s w a -> a # peeks :: (s -> s) -> StoreT s w a -> a # seek :: s -> StoreT s w a -> StoreT s w a # seeks :: (s -> s) -> StoreT s w a -> StoreT s w a # experiment :: Functor f => (s -> f s) -> StoreT s w a -> f a #
ComonadStore s w => ComonadStore s (IdentityT * w)
Methods pos :: IdentityT * w a -> s # peek :: s -> IdentityT * w a -> a # peeks :: (s -> s) -> IdentityT * w a -> a # seek :: s -> IdentityT * w a -> IdentityT * w a # seeks :: (s -> s) -> IdentityT * w a -> IdentityT * w a # experiment :: Functor f => (s -> f s) -> IdentityT * w a -> f a #
ComonadStore s w => ComonadStore s (EnvT e w)
Methods pos :: EnvT e w a -> s # peek :: s -> EnvT e w a -> a # peeks :: (s -> s) -> EnvT e w a -> a # seek :: s -> EnvT e w a -> EnvT e w a # seeks :: (s -> s) -> EnvT e w a -> EnvT e w a # experiment :: Functor f => (s -> f s) -> EnvT e w a -> f a #