Copyright	(C) 2012 Edward Kmett
License	BSD-style (see the file LICENSE)
Maintainer	Edward Kmett <ekmett@gmail.com>
Stability	provisional
Portability	GADTs, Rank2Types
Safe Haskell	Safe
Language	Haskell2010

Control.Alternative.Free.Final

Description

Final encoding of free Alternative functors.

Synopsis

newtype Alt f a = Alt {
- _runAlt :: forall g. Alternative g => (forall x. f x -> g x) -> g a
}
runAlt :: forall f g a. Alternative g => (forall x. f x -> g x) -> Alt f a -> g a
liftAlt :: f a -> Alt f a
hoistAlt :: (forall a. f a -> g a) -> Alt f b -> Alt g b

Documentation

newtype Alt f a Source #

The free Alternative for any f.

Constructors

Alt
Fields _runAlt :: forall g. Alternative g => (forall x. f x -> g x) -> g a

Instances

Instances details

Alternative (Alt f) Source #
Instance details Defined in Control.Alternative.Free.Final Methods empty :: Alt f a # (<\|>) :: Alt f a -> Alt f a -> Alt f a # some :: Alt f a -> Alt f [a] # many :: Alt f a -> Alt f [a] #
Applicative (Alt f) Source #
Instance details Defined in Control.Alternative.Free.Final Methods pure :: a -> Alt f a # (<>) :: Alt f (a -> b) -> Alt f a -> Alt f b # liftA2 :: (a -> b -> c) -> Alt f a -> Alt f b -> Alt f c # (>) :: Alt f a -> Alt f b -> Alt f b # (<*) :: Alt f a -> Alt f b -> Alt f a #
Functor (Alt f) Source #
Instance details Defined in Control.Alternative.Free.Final Methods fmap :: (a -> b) -> Alt f a -> Alt f b # (<$) :: a -> Alt f b -> Alt f a #
Alt (Alt f) Source #
Instance details Defined in Control.Alternative.Free.Final Methods (<!>) :: Alt f a -> Alt f a -> Alt f a # some :: Applicative (Alt f) => Alt f a -> Alt f [a] # many :: Applicative (Alt f) => Alt f a -> Alt f [a] #
Apply (Alt f) Source #
Instance details Defined in Control.Alternative.Free.Final Methods (<.>) :: Alt f (a -> b) -> Alt f a -> Alt f b # (.>) :: Alt f a -> Alt f b -> Alt f b # (<.) :: Alt f a -> Alt f b -> Alt f a # liftF2 :: (a -> b -> c) -> Alt f a -> Alt f b -> Alt f c #
Monoid (Alt f a) Source #
Instance details Defined in Control.Alternative.Free.Final Methods mempty :: Alt f a # mappend :: Alt f a -> Alt f a -> Alt f a # mconcat :: [Alt f a] -> Alt f a #
Semigroup (Alt f a) Source #
Instance details Defined in Control.Alternative.Free.Final Methods (<>) :: Alt f a -> Alt f a -> Alt f a # sconcat :: NonEmpty (Alt f a) -> Alt f a # stimes :: Integral b => b -> Alt f a -> Alt f a #

runAlt :: forall f g a. Alternative g => (forall x. f x -> g x) -> Alt f a -> g a Source #

Given a natural transformation from f to g, this gives a canonical monoidal natural transformation from Alt f to g.

liftAlt :: f a -> Alt f a Source #

A version of lift that can be used with f.

hoistAlt :: (forall a. f a -> g a) -> Alt f b -> Alt g b Source #

Given a natural transformation from f to g this gives a monoidal natural transformation from Alt f to Alt g.