comonad-5.0.6: Comonads

Copyright | (C) 2008-2013 Edward Kmett
License | BSD-style (see the file LICENSE)
Maintainer | Edward Kmett <ekmett@gmail.com>
Stability | provisional
Portability | portable
Safe Haskell | Safe
Language | Haskell2010

Control.Comonad.Trans.Env

Contents

- The strict environment comonad
- The strict environment comonad transformer
- Combinators

Description

The environment comonad holds a value along with some retrievable context.

This module specifies the environment comonad transformer (aka coreader), which is left adjoint to the reader comonad.

The following sets up an experiment that retains its initial value in the background:

    >>> let initial = env 0 0

Extract simply retrieves the value:

    >>> extract initial
    0

Play around with the value, in our case producing a negative value:

    >>> let experiment = fmap (+ 10) initial
    >>> extract experiment
    10

Oh noes, something went wrong, 10 isn't very negative! Better restore the initial value using the default:

    >>> let initialRestored = experiment =>> ask
    >>> extract initialRestored
    0

Synopsis

- type Env e = EnvT e Identity
- env :: e -> a -> Env e a
- runEnv :: Env e a -> (e, a)
- data EnvT e w a = EnvT e (w a)
- runEnvT :: EnvT e w a -> (e, w a)
- lowerEnvT :: EnvT e w a -> w a
- ask :: EnvT e w a -> e
- asks :: (e -> f) -> EnvT e w a -> f
- local :: (e -> e') -> EnvT e w a -> EnvT e' w a

# The strict environment comonad

type Env e = EnvT e Identity Source #

env :: e -> a -> Env e a Source #

Create an Env using an environment and a value

runEnv :: Env e a -> (e, a) Source #

# The strict environment comonad transformer

data EnvT e w a Source #

Constructors

EnvT e (w a) |

#### Instances

Instances details

ComonadTraced m w => ComonadTraced m (EnvT e w) Source # |
Instance details Defined in Control.Comonad.Traced.Class Methods trace :: m -> EnvT e w a -> 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 #
Comonad w => ComonadEnv e (EnvT e w) Source # |
Instance details Defined in Control.Comonad.Env.Class Methods ask :: EnvT e w a -> e Source #
ComonadHoist (EnvT e) Source # |
Instance details Defined in Control.Comonad.Trans.Env Methods cohoist :: (Comonad w, Comonad v) => (forall x. w x -> v x) -> EnvT e w a -> EnvT e v a Source #
ComonadTrans (EnvT e) Source # |
Instance details Defined in Control.Comonad.Trans.Env Methods lower :: Comonad w => EnvT e w a -> w a Source #
Functor w => Functor (EnvT e w) Source # |
Instance details Defined in Control.Comonad.Trans.Env Methods fmap :: (a -> b) -> EnvT e w a -> EnvT e w b # (<$) :: a -> EnvT e w b -> EnvT e w a #
(Monoid e, Applicative m) => Applicative (EnvT e m) Source # |
Instance details Defined in Control.Comonad.Trans.Env Methods pure :: a -> EnvT e m a (<*>) :: EnvT e m (a -> b) -> EnvT e m a -> EnvT e m b liftA2 :: (a -> b -> c) -> EnvT e m a -> EnvT e m b -> EnvT e m c (*>) :: EnvT e m a -> EnvT e m b -> EnvT e m b (<*) :: EnvT e m a -> EnvT e m b -> EnvT e m a
Foldable w => Foldable (EnvT e w) Source # |

Instance details

Defined in Control.Comonad.Trans.Env

Methods

fold :: Monoid m => EnvT e w m -> m

foldMap :: Monoid m => (a -> m) -> EnvT e w a -> m

foldMap' :: Monoid m => (a -> m) -> EnvT e w a -> m

foldr :: (a -> b -> b) -> b -> EnvT e w a -> b

foldr' :: (a -> b -> b) -> b -> EnvT e w a -> b

foldl :: (b -> a -> b) -> b -> EnvT e w a -> b

foldl' :: (b -> a -> b) -> b -> EnvT e w a -> b

foldr1 :: (a -> a -> a) -> EnvT e w a -> a

foldl1 :: (a -> a -> a) -> EnvT e w a -> a

toList :: EnvT e w a -> [a]

null :: EnvT e w a -> Bool

length :: EnvT e w a -> Int

elem :: Eq a => a -> EnvT e w a -> Bool

maximum :: Ord a => EnvT e w a -> a

minimum :: Ord a => EnvT e w a -> a

sum :: Num a => EnvT e w a -> a

product :: Num a => EnvT e w a -> a

Traversable w => Traversable (EnvT e w) Source # |
Instance details Defined in Control.Comonad.Trans.Env Methods traverse :: Applicative f => (a -> f b) -> EnvT e w a -> f (EnvT e w b) sequenceA :: Applicative f => EnvT e w (f a) -> f (EnvT e w a) mapM :: Monad m => (a -> m b) -> EnvT e w a -> m (EnvT e w b) sequence :: Monad m => EnvT e w (m a) -> m (EnvT e w a)
(Semigroup e, ComonadApply w) => ComonadApply (EnvT e w) Source # |
Instance details Defined in Control.Comonad.Trans.Env Methods (<@>) :: EnvT e w (a -> b) -> EnvT e w a -> EnvT e w b Source # (@>) :: EnvT e w a -> EnvT e w b -> EnvT e w b Source # (<@) :: EnvT e w a -> EnvT e w b -> EnvT e w a Source #
Comonad w => Comonad (EnvT e w) Source # |
Instance details Defined in Control.Comonad.Trans.Env Methods extract :: EnvT e w a -> a Source # duplicate :: EnvT e w a -> EnvT e w (EnvT e w a) Source # extend :: (EnvT e w a -> b) -> EnvT e w a -> EnvT e w b Source #
(Data e, Typeable w, Data (w a), Data a) => Data (EnvT e w a) Source # |

Instance details

Defined in Control.Comonad.Trans.Env

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> EnvT e w a -> c (EnvT e w a)

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (EnvT e w a)

toConstr :: EnvT e w a -> Constr

dataTypeOf :: EnvT e w a -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (EnvT e w a))

dataCast2 :: Typeable t => (forall d e0. (Data d, Data e0) => c (t d e0)) -> Maybe (c (EnvT e w a))

gmapT :: (forall b. Data b => b -> b) -> EnvT e w a -> EnvT e w a

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> EnvT e w a -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> EnvT e w a -> r

gmapQ :: (forall d. Data d => d -> u) -> EnvT e w a -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> EnvT e w a -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> EnvT e w a -> m (EnvT e w a)

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> EnvT e w a -> m (EnvT e w a)

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> EnvT e w a -> m (EnvT e w a)

runEnvT :: EnvT e w a -> (e, w a) Source #

lowerEnvT :: EnvT e w a -> w a Source #

Gets rid of the environment. This differs from `extract` in that it will not continue extracting the value from the contained comonad.

# Combinators

ask :: EnvT e w a -> e Source #

Retrieves the environment.

asks :: (e -> f) -> EnvT e w a -> f Source #

Like `ask`, but modifies the resulting value with a function.

    asks = f . ask

local :: (e -> e') -> EnvT e w a -> EnvT e' w a Source #

Modifies the environment using the specified function.