comonad-5: Comonads

Copyright | (C) 2008-2014 Edward Kmett
License | BSD-style (see the file LICENSE)
Maintainer | Edward Kmett <ekmett@gmail.com>
Stability | experimental
Portability | non-portable (fundeps, MPTCs)
Safe Haskell | Safe
Language | Haskell2010

Control.Comonad.Store

Contents

- ComonadStore class
- The Store comonad
- The StoreT comonad transformer
- Re-exported modules

Description

Synopsis

- class Comonad w => ComonadStore s w | w -> s where
- type Store s = StoreT s Identity
- store :: (s -> a) -> s -> Store s a
- runStore :: Store s a -> (s -> a, s)
- data StoreT s w a = StoreT (w (s -> a)) s
- runStoreT :: StoreT s w a -> (w (s -> a), s)
- module Control.Comonad
- module Control.Comonad.Trans.Class

# ComonadStore class

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, 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 #
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 #
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 #
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 #

# The Store comonad

type Store s = StoreT s Identity #

store :: (s -> a) -> s -> Store s a #

Create a Store using an accessor function and a stored value

runStore :: Store s a -> (s -> a, s) #

# The StoreT comonad transformer

data StoreT s w a #

Constructors

StoreT (w (s -> a)) s |

Instances

ComonadEnv e w => ComonadEnv e (StoreT t w) # |
Methods ask :: StoreT t w a -> e #
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 #
ComonadTraced m w => ComonadTraced m (StoreT s w) # |
Methods trace :: m -> StoreT s w a -> a #
ComonadTrans (StoreT s) # |
Methods lower :: Comonad w => StoreT s w a -> w a #
ComonadHoist (StoreT s) # |
Methods cohoist :: (Comonad w, Comonad v) => (forall x. w x -> v x) -> StoreT s w a -> StoreT s v a #
Functor w => Functor (StoreT s w) # |
Methods fmap :: (a -> b) -> StoreT s w a -> StoreT s w b # (<$) :: a -> StoreT s w b -> StoreT s w a #
(Applicative w, Monoid s) => Applicative (StoreT s w) # |
Methods pure :: a -> StoreT s w a # (<*>) :: StoreT s w (a -> b) -> StoreT s w a -> StoreT s w b # (*>) :: StoreT s w a -> StoreT s w b -> StoreT s w b # (<*) :: StoreT s w a -> StoreT s w b -> StoreT s w a #
(ComonadApply w, Semigroup s) => ComonadApply (StoreT s w) # |
Methods (<@>) :: StoreT s w (a -> b) -> StoreT s w a -> StoreT s w b # (@>) :: StoreT s w a -> StoreT s w b -> StoreT s w b # (<@) :: StoreT s w a -> StoreT s w b -> StoreT s w a #
Comonad w => Comonad (StoreT s w) # |
Methods extract :: StoreT s w a -> a # duplicate :: StoreT s w a -> StoreT s w (StoreT s w a) # extend :: (StoreT s w a -> b) -> StoreT s w a -> StoreT s w b #

runStoreT :: StoreT s w a -> (w (s -> a), s) #

# Re-exported modules

module Control.Comonad

module Control.Comonad.Trans.Class