Safe Haskell	None
Language	Haskell98

Control.Applicative.Indexed

Contents

type-indexed / parameterized classes
WrappedApplicative

Description

This module provides a type-indexed / parameterized version of the Functor and Applicative classes.

Synopsis

type-indexed / parameterized classes

class IndexedFunctor f where #

a class for a 'type-indexed' or paramaterized functor

note: not sure what the most correct name is for this class, or if it exists in a well supported library already.

Minimal complete definition

imap

Methods

imap :: (x -> y) -> (a -> b) -> f x a -> f y b #

imap is similar to fmap

Instances

Functor f => IndexedFunctor (WrappedApplicative f) #
Methods imap :: (x -> y) -> (a -> b) -> WrappedApplicative f x a -> WrappedApplicative f y b #
Monad m => IndexedFunctor (Form m input view error) #
Methods imap :: (x -> y) -> (a -> b) -> Form m input view error x a -> Form m input view error y b #

class IndexedFunctor f => IndexedApplicative f where #

a class for a 'type-indexed' or paramaterized applicative functors

note: not sure what the most correct name is for this class, or if it exists in a well supported library already.

Minimal complete definition

ipure, (<<*>>)

Methods

ipure :: x -> a -> f x a #

similar to pure

(<<*>>) :: f (x -> y) (a -> b) -> f x a -> f y b infixl 4 #

similar to <*>

(*>>) :: f x a -> f y b -> f y b infixl 4 #

similar to *>

(<<*) :: f x a -> f y b -> f x a infixl 4 #

similar to <*

Instances

Applicative f => IndexedApplicative (WrappedApplicative f) #
Methods ipure :: x -> a -> WrappedApplicative f x a # (<<>>) :: WrappedApplicative f (x -> y) (a -> b) -> WrappedApplicative f x a -> WrappedApplicative f y b # (>>) :: WrappedApplicative f x a -> WrappedApplicative f y b -> WrappedApplicative f y b # (<<*) :: WrappedApplicative f x a -> WrappedApplicative f y b -> WrappedApplicative f x a #
(Monoid view, Monad m) => IndexedApplicative (Form m input error view) #
Methods ipure :: x -> a -> Form m input error view x a # (<<>>) :: Form m input error view (x -> y) (a -> b) -> Form m input error view x a -> Form m input error view y b # (>>) :: Form m input error view x a -> Form m input error view y b -> Form m input error view y b # (<<*) :: Form m input error view x a -> Form m input error view y b -> Form m input error view x a #

(<<$>>) :: IndexedFunctor f => (a -> b) -> f y a -> f y b infixl 4 #

similar to <$>. An alias for imap id

(<<**>>) :: IndexedApplicative f => f x a -> f (x -> y) (a -> b) -> f y b #

A variant of <<*>> with the arguments reversed.

liftIA :: IndexedApplicative f => (a -> b) -> (x -> y) -> f a x -> f b y #

Lift a function to actions. This function may be used as a value for imap in a IndexedFunctor instance.

liftIA2 :: IndexedApplicative f => (a -> b -> c) -> (x -> y -> z) -> f a x -> f b y -> f c z #

Lift a binary function to actions.

liftIA3 :: IndexedApplicative f => (a -> b -> c -> d) -> (w -> x -> y -> z) -> f a w -> f b x -> f c y -> f d z #

Lift a binary function to actions.

WrappedApplicative

newtype WrappedApplicative f index a #

a wrapper which lifts a value with an Applicative instance so that it can be used as an IndexedFunctor or IndexedApplicative

d :: WrappedApplicative Maybe y Char
d = WrappedApplicative (Just succ) <<*>> WrappedApplicative (Just 'c')

Constructors

WrappedApplicative
Fields unwrapApplicative :: f a

Instances

Applicative f => IndexedApplicative (WrappedApplicative f) #
Methods ipure :: x -> a -> WrappedApplicative f x a # (<<>>) :: WrappedApplicative f (x -> y) (a -> b) -> WrappedApplicative f x a -> WrappedApplicative f y b # (>>) :: WrappedApplicative f x a -> WrappedApplicative f y b -> WrappedApplicative f y b # (<<*) :: WrappedApplicative f x a -> WrappedApplicative f y b -> WrappedApplicative f x a #
Functor f => IndexedFunctor (WrappedApplicative f) #
Methods imap :: (x -> y) -> (a -> b) -> WrappedApplicative f x a -> WrappedApplicative f y b #
Monad f => Monad (WrappedApplicative f index) #
Methods (>>=) :: WrappedApplicative f index a -> (a -> WrappedApplicative f index b) -> WrappedApplicative f index b # (>>) :: WrappedApplicative f index a -> WrappedApplicative f index b -> WrappedApplicative f index b # return :: a -> WrappedApplicative f index a # fail :: String -> WrappedApplicative f index a #
Functor f => Functor (WrappedApplicative f index) #
Methods fmap :: (a -> b) -> WrappedApplicative f index a -> WrappedApplicative f index b # (<$) :: a -> WrappedApplicative f index b -> WrappedApplicative f index a #
Applicative f => Applicative (WrappedApplicative f index) #
Methods pure :: a -> WrappedApplicative f index a # (<>) :: WrappedApplicative f index (a -> b) -> WrappedApplicative f index a -> WrappedApplicative f index b # (>) :: WrappedApplicative f index a -> WrappedApplicative f index b -> WrappedApplicative f index b # (<*) :: WrappedApplicative f index a -> WrappedApplicative f index b -> WrappedApplicative f index a #
Eq (f a) => Eq (WrappedApplicative f index a) #
Methods (==) :: WrappedApplicative f index a -> WrappedApplicative f index a -> Bool # (/=) :: WrappedApplicative f index a -> WrappedApplicative f index a -> Bool #
Ord (f a) => Ord (WrappedApplicative f index a) #
Methods compare :: WrappedApplicative f index a -> WrappedApplicative f index a -> Ordering # (<) :: WrappedApplicative f index a -> WrappedApplicative f index a -> Bool # (<=) :: WrappedApplicative f index a -> WrappedApplicative f index a -> Bool # (>) :: WrappedApplicative f index a -> WrappedApplicative f index a -> Bool # (>=) :: WrappedApplicative f index a -> WrappedApplicative f index a -> Bool # max :: WrappedApplicative f index a -> WrappedApplicative f index a -> WrappedApplicative f index a # min :: WrappedApplicative f index a -> WrappedApplicative f index a -> WrappedApplicative f index a #
Read (f a) => Read (WrappedApplicative f index a) #
Methods readsPrec :: Int -> ReadS (WrappedApplicative f index a) # readList :: ReadS [WrappedApplicative f index a] # readPrec :: ReadPrec (WrappedApplicative f index a) # readListPrec :: ReadPrec [WrappedApplicative f index a] #
Show (f a) => Show (WrappedApplicative f index a) #
Methods showsPrec :: Int -> WrappedApplicative f index a -> ShowS # show :: WrappedApplicative f index a -> String # showList :: [WrappedApplicative f index a] -> ShowS #