comonad-5.0.5: 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
  - 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
- 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 Source #

Minimal complete definition

pos, peek

Methods

pos :: w a -> s Source #

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

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

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

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

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

Instances

(ComonadStore s w, Monoid m) => ComonadStore s (TracedT m w) Source # |
Instance details Defined in Control.Comonad.Store.Class Methods pos :: TracedT m w a -> s Source # peek :: s -> TracedT m w a -> a Source # peeks :: (s -> s) -> TracedT m w a -> a Source # seek :: s -> TracedT m w a -> TracedT m w a Source # seeks :: (s -> s) -> TracedT m w a -> TracedT m w a Source # experiment :: Functor f => (s -> f s) -> TracedT m w a -> f a Source #
ComonadStore s w => ComonadStore s (EnvT e w) Source # |
Instance details Defined in Control.Comonad.Store.Class Methods pos :: EnvT e w a -> s Source # peek :: s -> EnvT e w a -> a Source # peeks :: (s -> s) -> EnvT e w a -> a Source # seek :: s -> EnvT e w a -> EnvT e w a Source # seeks :: (s -> s) -> EnvT e w a -> EnvT e w a Source # experiment :: Functor f => (s -> f s) -> EnvT e w a -> f a Source #
ComonadStore s w => ComonadStore s (IdentityT w) Source # |
Instance details Defined in Control.Comonad.Store.Class Methods pos :: IdentityT w a -> s Source # peek :: s -> IdentityT w a -> a Source # peeks :: (s -> s) -> IdentityT w a -> a Source # seek :: s -> IdentityT w a -> IdentityT w a Source # seeks :: (s -> s) -> IdentityT w a -> IdentityT w a Source # experiment :: Functor f => (s -> f s) -> IdentityT w a -> f a Source #
Comonad w => ComonadStore s (StoreT s w) Source # |
Instance details Defined in Control.Comonad.Store.Class Methods pos :: StoreT s w a -> s Source # peek :: s -> StoreT s w a -> a Source # peeks :: (s -> s) -> StoreT s w a -> a Source # seek :: s -> StoreT s w a -> StoreT s w a Source # seeks :: (s -> s) -> StoreT s w a -> StoreT s w a Source # experiment :: Functor f => (s -> f s) -> StoreT s w a -> f a Source #

# The Store comonad

type Store s = StoreT s Identity Source #

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

Create a Store using an accessor function and a stored value

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

# The StoreT comonad transformer

data StoreT s w a Source #

Constructors

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

Instances

ComonadTraced m w => ComonadTraced m (StoreT s w) Source # |
Instance details Defined in Control.Comonad.Traced.Class Methods trace :: m -> StoreT s w a -> a Source #
Comonad w => ComonadStore s (StoreT s w) Source # |
Instance details Defined in Control.Comonad.Store.Class Methods pos :: StoreT s w a -> s Source # peek :: s -> StoreT s w a -> a Source # peeks :: (s -> s) -> StoreT s w a -> a Source # seek :: s -> StoreT s w a -> StoreT s w a Source # seeks :: (s -> s) -> StoreT s w a -> StoreT s w a Source # experiment :: Functor f => (s -> f s) -> StoreT s w a -> f a Source #
ComonadEnv e w => ComonadEnv e (StoreT t w) Source # |
Instance details Defined in Control.Comonad.Env.Class Methods ask :: StoreT t w a -> e Source #
ComonadHoist (StoreT s) Source # |
Instance details Defined in Control.Comonad.Trans.Store Methods cohoist :: (Comonad w, Comonad v) => (forall x. w x -> v x) -> StoreT s w a -> StoreT s v a Source #
ComonadTrans (StoreT s) Source # |
Instance details Defined in Control.Comonad.Trans.Store Methods lower :: Comonad w => StoreT s w a -> w a Source #
Functor w => Functor (StoreT s w) Source # |
Instance details Defined in Control.Comonad.Trans.Store Methods fmap :: (a -> b) -> StoreT s w a -> StoreT s w b Source # (<$) :: a -> StoreT s w b -> StoreT s w a Source #
(Applicative w, Monoid s) => Applicative (StoreT s w) Source # |
Instance details Defined in Control.Comonad.Trans.Store Methods pure :: a -> StoreT s w a Source # (<*>) :: StoreT s w (a -> b) -> StoreT s w a -> StoreT s w b Source # liftA2 :: (a -> b -> c) -> StoreT s w a -> StoreT s w b -> StoreT s w c Source # (*>) :: StoreT s w a -> StoreT s w b -> StoreT s w b Source # (<*) :: StoreT s w a -> StoreT s w b -> StoreT s w a Source #
(ComonadApply w, Semigroup s) => ComonadApply (StoreT s w) Source # |
Instance details Defined in Control.Comonad.Trans.Store Methods (<@>) :: StoreT s w (a -> b) -> StoreT s w a -> StoreT s w b Source # (@>) :: StoreT s w a -> StoreT s w b -> StoreT s w b Source # (<@) :: StoreT s w a -> StoreT s w b -> StoreT s w a Source #
Comonad w => Comonad (StoreT s w) Source # |
Instance details Defined in Control.Comonad.Trans.Store Methods extract :: StoreT s w a -> a Source # duplicate :: StoreT s w a -> StoreT s w (StoreT s w a) Source # extend :: (StoreT s w a -> b) -> StoreT s w a -> StoreT s w b Source #

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

# Re-exported modules

module Control.Comonad

module Control.Comonad.Trans.Class