Safe Haskell | Safe |
---|---|
Language | Haskell2010 |
This module re-exports operators from Data.Functor.Apply and
Data.Functor.Bind, but under the same
names as their Applicative
and Monad
counterparts. This makes it convenient
to use do-notation on a type that is a Bind
but not a monad (or an Apply
but not an Applicative
with ApplicativeDo
), either using the
QualifiedDo
extension or the more traditional RebindableSyntax
.
{-# LANGUAGE ApplicativeDo #-} {-# LANGUAGE QualifiedDo #-} foo :: Apply f => f a -> f b -> f (a, b) foo as bs = Semi.do a <- as b <- bs pure (a, b) bar :: Bind m => (a -> b -> m c) -> m a -> m b -> m c bar f as bs = Semi.do a <- as b <- bs f a b
Synopsis
- fmap :: Functor f => (a -> b) -> f a -> f b
- (<*) :: Apply f => f a -> f b -> f a
- (*>) :: Apply f => f a -> f b -> f b
- (<*>) :: Apply f => f (a -> b) -> f a -> f b
- (>>) :: Bind m => m a -> m b -> m b
- (>>=) :: Bind m => m a -> (a -> m b) -> m b
- join :: Bind m => m (m a) -> m a
- pure :: Applicative f => a -> f a
- return :: Monad m => a -> m a
- fail :: Plus m => String -> m a
Documentation
fmap :: Functor f => (a -> b) -> f a -> f b #
fmap
is used to apply a function of type (a -> b)
to a value of type f a
,
where f is a functor, to produce a value of type f b
.
Note that for any type constructor with more than one parameter (e.g., Either
),
only the last type parameter can be modified with fmap
(e.g., b
in `Either a b`).
Some type constructors with two parameters or more have a
instance that allows
both the last and the penultimate parameters to be mapped over.Bifunctor
Examples
Convert from a
to a Maybe
IntMaybe String
using show
:
>>>
fmap show Nothing
Nothing>>>
fmap show (Just 3)
Just "3"
Convert from an
to an
Either
Int IntEither Int String
using show
:
>>>
fmap show (Left 17)
Left 17>>>
fmap show (Right 17)
Right "17"
Double each element of a list:
>>>
fmap (*2) [1,2,3]
[2,4,6]
Apply even
to the second element of a pair:
>>>
fmap even (2,2)
(2,True)
It may seem surprising that the function is only applied to the last element of the tuple
compared to the list example above which applies it to every element in the list.
To understand, remember that tuples are type constructors with multiple type parameters:
a tuple of 3 elements (a,b,c)
can also be written (,,) a b c
and its Functor
instance
is defined for Functor ((,,) a b)
(i.e., only the third parameter is free to be mapped over
with fmap
).
It explains why fmap
can be used with tuples containing values of different types as in the
following example:
>>>
fmap even ("hello", 1.0, 4)
("hello",1.0,True)
pure :: Applicative f => a -> f a #
Lift a value.