Module

Control.Monad.List.Trans

This module defines the list monad transformer, ListT.

#ListT

newtype ListT f a

The list monad transformer.

This monad transformer extends the base monad with non-determinism. That is, the transformed monad supports the same effects as the base monad but with multiple return values.

Constructors

Instances

#Step

data Step a s

The result of a single step in a ListT computation. Either:

  • Computation has finished (Done), or
  • A result has been returned, along with the next part of the computation (Yield).

The Skip constructor allows us to avoid traversing lists during certain operations.

Constructors

#catMaybes

catMaybes :: forall f a. Functor f => ListT f (Maybe a) -> ListT f a

Remove elements from a list which do not contain a value.

#cons

cons :: forall f a. Applicative f => Lazy a -> Lazy (ListT f a) -> ListT f a

Attach an element to the front of a list.

#drop

drop :: forall f a. Applicative f => Int -> ListT f a -> ListT f a

Drop a number of elements from the front of a list.

#dropWhile

dropWhile :: forall f a. Applicative f => (a -> Boolean) -> ListT f a -> ListT f a

Drop elements from the front of a list while a predicate holds.

#filter

filter :: forall f a. Functor f => (a -> Boolean) -> ListT f a -> ListT f a

Remove elements from a list for which a predicate fails to hold.

#foldl

foldl :: forall f a b. Monad f => (b -> a -> b) -> b -> ListT f a -> f b

Fold a list from the left, accumulating the result using the specified function.

#foldlRec

foldlRec :: forall f a b. MonadRec f => (b -> a -> b) -> b -> ListT f a -> f b

Fold a list from the left, accumulating the result using the specified function. Uses tail call optimization.

#foldl'

foldl' :: forall f a b. Monad f => (b -> a -> f b) -> b -> ListT f a -> f b

Fold a list from the left, accumulating the result (effectfully) using the specified function.

#foldlRec'

foldlRec' :: forall f a b. MonadRec f => (b -> a -> f b) -> b -> ListT f a -> f b

Fold a list from the left, accumulating the result (effectfully) using the specified function. Uses tail call optimization.

#fromEffect

fromEffect :: forall f a. Applicative f => f a -> ListT f a

Lift a computation from the base functor.

#head

head :: forall f a. Monad f => ListT f a -> f (Maybe a)

Extract the first element of a list.

#iterate

iterate :: forall f a. Monad f => (a -> a) -> a -> ListT f a

Generate an infinite list by iterating a function.

#mapMaybe

mapMaybe :: forall f a b. Functor f => (a -> Maybe b) -> ListT f a -> ListT f b

Apply a function to the elements of a list, keeping only those return values which contain a result.

#nil

nil :: forall f a. Applicative f => ListT f a

The empty list.

#prepend

prepend :: forall f a. Applicative f => a -> ListT f a -> ListT f a

Prepend an element to a list.

#prepend'

prepend' :: forall f a. Applicative f => a -> Lazy (ListT f a) -> ListT f a

Prepend an element to a lazily-evaluated list.

#repeat

repeat :: forall f a. Monad f => a -> ListT f a

Generate an infinite list by repeating a value.

#runListT

runListT :: forall f a. Monad f => ListT f a -> f Unit

Drain a ListT, running it to completion and discarding all values.

#runListTRec

runListTRec :: forall f a. MonadRec f => ListT f a -> f Unit

Drain a ListT, running it to completion and discarding all values. Stack safe: Uses tail call optimization.

#scanl

scanl :: forall f a b. Monad f => (b -> a -> b) -> b -> ListT f a -> ListT f b

Fold a list from the left, accumulating the list of results using the specified function.

#singleton

singleton :: forall f a. Applicative f => a -> ListT f a

Create a list with one element.

#tail

tail :: forall f a. Monad f => ListT f a -> f (Maybe (ListT f a))

Extract all but the first element of a list.

#take

take :: forall f a. Applicative f => Int -> ListT f a -> ListT f a

Take a number of elements from the front of a list.

#takeWhile

takeWhile :: forall f a. Applicative f => (a -> Boolean) -> ListT f a -> ListT f a

Take elements from the front of a list while a predicate holds.

#uncons

uncons :: forall f a. Monad f => ListT f a -> f (Maybe (Tuple a (ListT f a)))

Perform the first step of a computation in the ListT monad.

#unfold

unfold :: forall f a z. Monad f => (z -> f (Maybe (Tuple z a))) -> z -> ListT f a

Unfold a list using an effectful generator function.

#wrapEffect

wrapEffect :: forall f a. Functor f => f (ListT f a) -> ListT f a

Lift a computation from the base monad.

#wrapLazy

wrapLazy :: forall f a. Applicative f => Lazy (ListT f a) -> ListT f a

Defer evaluation of a list.

#zipWith

zipWith :: forall f a b c. Monad f => (a -> b -> c) -> ListT f a -> ListT f b -> ListT f c

Zip the elements of two lists, combining elements at the same position from each list.

#zipWith'

zipWith' :: forall f a b c. Monad f => (a -> b -> f c) -> ListT f a -> ListT f b -> ListT f c

Zip the elements of two lists, combining elements at the same position from each list.

Re-exports from Control.Monad.Trans.Class

#MonadTrans

class MonadTrans t  where

The MonadTrans type class represents monad transformers.

A monad transformer is a type constructor of kind (* -> *) -> * -> *, which takes a Monad as its first argument, and returns another Monad.

This allows us to add additional effects to an existing monad. By iterating this process, we create monad transformer stacks, which contain all of the effects required for a particular computation.

The laws state that lift is a Monad morphism.

Laws:

  • lift (pure a) = pure a
  • lift (do { x <- m ; y }) = do { x <- lift m ; lift y }

Members

Modules