Safe Haskell	Safe
Language	Haskell2010

Data.Monoid.Instances.Concat

Description

This module defines the monoid transformer data type Concat.

Synopsis

data Concat a
concatenate :: PositiveMonoid a => Seq a -> Concat a
extract :: Concat a -> Seq a
force :: Semigroup a => Concat a -> a

Documentation

data Concat a Source #

Concat is a transparent monoid transformer. The behaviour of the Concat a instances of monoid subclasses is identical to the behaviour of their a instances, up to the pure isomorphism.

The only purpose of Concat then is to change the performance characteristics of various operations. Most importantly, injecting a monoid into Concat has the effect of making mappend a constant-time operation. The splitPrimePrefix and splitPrimeSuffix operations are amortized to constant time, provided that only one or the other is used. Using both operations alternately will trigger the worst-case behaviour of O(n).

Instances

Functor Concat Source #
Instance details Defined in Data.Monoid.Instances.Concat Methods fmap :: (a -> b) -> Concat a -> Concat b # (<$) :: a -> Concat b -> Concat a #
Applicative Concat Source #
Instance details Defined in Data.Monoid.Instances.Concat Methods pure :: a -> Concat a # (<>) :: Concat (a -> b) -> Concat a -> Concat b # liftA2 :: (a -> b -> c) -> Concat a -> Concat b -> Concat c # (>) :: Concat a -> Concat b -> Concat b # (<*) :: Concat a -> Concat b -> Concat a #
Foldable Concat Source #
Instance details Defined in Data.Monoid.Instances.Concat Methods fold :: Monoid m => Concat m -> m # foldMap :: Monoid m => (a -> m) -> Concat a -> m # foldr :: (a -> b -> b) -> b -> Concat a -> b # foldr' :: (a -> b -> b) -> b -> Concat a -> b # foldl :: (b -> a -> b) -> b -> Concat a -> b # foldl' :: (b -> a -> b) -> b -> Concat a -> b # foldr1 :: (a -> a -> a) -> Concat a -> a # foldl1 :: (a -> a -> a) -> Concat a -> a # toList :: Concat a -> [a] # null :: Concat a -> Bool # length :: Concat a -> Int # elem :: Eq a => a -> Concat a -> Bool # maximum :: Ord a => Concat a -> a # minimum :: Ord a => Concat a -> a # sum :: Num a => Concat a -> a # product :: Num a => Concat a -> a #
(Eq a, Semigroup a) => Eq (Concat a) Source #
Instance details Defined in Data.Monoid.Instances.Concat Methods (==) :: Concat a -> Concat a -> Bool # (/=) :: Concat a -> Concat a -> Bool #
(Ord a, Semigroup a) => Ord (Concat a) Source #
Instance details Defined in Data.Monoid.Instances.Concat Methods compare :: Concat a -> Concat a -> Ordering # (<) :: Concat a -> Concat a -> Bool # (<=) :: Concat a -> Concat a -> Bool # (>) :: Concat a -> Concat a -> Bool # (>=) :: Concat a -> Concat a -> Bool # max :: Concat a -> Concat a -> Concat a # min :: Concat a -> Concat a -> Concat a #
Show a => Show (Concat a) Source #
Instance details Defined in Data.Monoid.Instances.Concat Methods showsPrec :: Int -> Concat a -> ShowS # show :: Concat a -> String # showList :: [Concat a] -> ShowS #
IsString a => IsString (Concat a) Source #
Instance details Defined in Data.Monoid.Instances.Concat Methods fromString :: String -> Concat a #
PositiveMonoid a => Semigroup (Concat a) Source #
Instance details Defined in Data.Monoid.Instances.Concat Methods (<>) :: Concat a -> Concat a -> Concat a # sconcat :: NonEmpty (Concat a) -> Concat a # stimes :: Integral b => b -> Concat a -> Concat a #
PositiveMonoid a => Monoid (Concat a) Source #
Instance details Defined in Data.Monoid.Instances.Concat Methods mempty :: Concat a # mappend :: Concat a -> Concat a -> Concat a # mconcat :: [Concat a] -> Concat a #
PositiveMonoid a => PositiveMonoid (Concat a) Source #
Instance details Defined in Data.Monoid.Instances.Concat
PositiveMonoid a => MonoidNull (Concat a) Source #
Instance details Defined in Data.Monoid.Instances.Concat Methods null :: Concat a -> Bool Source #
(RightReductive a, StableFactorial a, PositiveMonoid a) => RightReductive (Concat a) Source #
Instance details Defined in Data.Monoid.Instances.Concat Methods isSuffixOf :: Concat a -> Concat a -> Bool Source # stripSuffix :: Concat a -> Concat a -> Maybe (Concat a) Source #
(LeftReductive a, StableFactorial a, PositiveMonoid a) => LeftReductive (Concat a) Source #
Instance details Defined in Data.Monoid.Instances.Concat Methods isPrefixOf :: Concat a -> Concat a -> Bool Source # stripPrefix :: Concat a -> Concat a -> Maybe (Concat a) Source #
(RightGCDMonoid a, StableFactorial a, PositiveMonoid a) => RightGCDMonoid (Concat a) Source #
Instance details Defined in Data.Monoid.Instances.Concat Methods commonSuffix :: Concat a -> Concat a -> Concat a Source # stripCommonSuffix :: Concat a -> Concat a -> (Concat a, Concat a, Concat a) Source #
(LeftGCDMonoid a, StableFactorial a, PositiveMonoid a) => LeftGCDMonoid (Concat a) Source #
Instance details Defined in Data.Monoid.Instances.Concat Methods commonPrefix :: Concat a -> Concat a -> Concat a Source # stripCommonPrefix :: Concat a -> Concat a -> (Concat a, Concat a, Concat a) Source #
(Factorial a, PositiveMonoid a) => StableFactorial (Concat a) Source #
Instance details Defined in Data.Monoid.Instances.Concat
(Factorial a, PositiveMonoid a) => Factorial (Concat a) Source #
Instance details Defined in Data.Monoid.Instances.Concat Methods factors :: Concat a -> [Concat a] Source # primePrefix :: Concat a -> Concat a Source # primeSuffix :: Concat a -> Concat a Source # foldl :: (a0 -> Concat a -> a0) -> a0 -> Concat a -> a0 Source # foldl' :: (a0 -> Concat a -> a0) -> a0 -> Concat a -> a0 Source # foldr :: (Concat a -> a0 -> a0) -> a0 -> Concat a -> a0 Source # length :: Concat a -> Int Source # foldMap :: Monoid n => (Concat a -> n) -> Concat a -> n Source # reverse :: Concat a -> Concat a Source #
(FactorialMonoid a, PositiveMonoid a) => FactorialMonoid (Concat a) Source #
Instance details Defined in Data.Monoid.Instances.Concat Methods splitPrimePrefix :: Concat a -> Maybe (Concat a, Concat a) Source # splitPrimeSuffix :: Concat a -> Maybe (Concat a, Concat a) Source # inits :: Concat a -> [Concat a] Source # tails :: Concat a -> [Concat a] Source # span :: (Concat a -> Bool) -> Concat a -> (Concat a, Concat a) Source # break :: (Concat a -> Bool) -> Concat a -> (Concat a, Concat a) Source # split :: (Concat a -> Bool) -> Concat a -> [Concat a] Source # takeWhile :: (Concat a -> Bool) -> Concat a -> Concat a Source # dropWhile :: (Concat a -> Bool) -> Concat a -> Concat a Source # spanMaybe :: s -> (s -> Concat a -> Maybe s) -> Concat a -> (Concat a, Concat a, s) Source # spanMaybe' :: s -> (s -> Concat a -> Maybe s) -> Concat a -> (Concat a, Concat a, s) Source # splitAt :: Int -> Concat a -> (Concat a, Concat a) Source # drop :: Int -> Concat a -> Concat a Source # take :: Int -> Concat a -> Concat a Source #
(Eq a, TextualMonoid a, StableFactorial a, PositiveMonoid a) => TextualMonoid (Concat a) Source #
Instance details Defined in Data.Monoid.Instances.Concat Methods fromText :: Text -> Concat a Source # singleton :: Char -> Concat a Source # splitCharacterPrefix :: Concat a -> Maybe (Char, Concat a) Source # characterPrefix :: Concat a -> Maybe Char Source # map :: (Char -> Char) -> Concat a -> Concat a Source # concatMap :: (Char -> Concat a) -> Concat a -> Concat a Source # toString :: (Concat a -> String) -> Concat a -> String Source # any :: (Char -> Bool) -> Concat a -> Bool Source # all :: (Char -> Bool) -> Concat a -> Bool Source # foldl :: (a0 -> Concat a -> a0) -> (a0 -> Char -> a0) -> a0 -> Concat a -> a0 Source # foldl' :: (a0 -> Concat a -> a0) -> (a0 -> Char -> a0) -> a0 -> Concat a -> a0 Source # foldr :: (Concat a -> a0 -> a0) -> (Char -> a0 -> a0) -> a0 -> Concat a -> a0 Source # scanl :: (Char -> Char -> Char) -> Char -> Concat a -> Concat a Source # scanl1 :: (Char -> Char -> Char) -> Concat a -> Concat a Source # scanr :: (Char -> Char -> Char) -> Char -> Concat a -> Concat a Source # scanr1 :: (Char -> Char -> Char) -> Concat a -> Concat a Source # mapAccumL :: (a0 -> Char -> (a0, Char)) -> a0 -> Concat a -> (a0, Concat a) Source # mapAccumR :: (a0 -> Char -> (a0, Char)) -> a0 -> Concat a -> (a0, Concat a) Source # takeWhile :: (Concat a -> Bool) -> (Char -> Bool) -> Concat a -> Concat a Source # dropWhile :: (Concat a -> Bool) -> (Char -> Bool) -> Concat a -> Concat a Source # break :: (Concat a -> Bool) -> (Char -> Bool) -> Concat a -> (Concat a, Concat a) Source # span :: (Concat a -> Bool) -> (Char -> Bool) -> Concat a -> (Concat a, Concat a) Source # spanMaybe :: s -> (s -> Concat a -> Maybe s) -> (s -> Char -> Maybe s) -> Concat a -> (Concat a, Concat a, s) Source # spanMaybe' :: s -> (s -> Concat a -> Maybe s) -> (s -> Char -> Maybe s) -> Concat a -> (Concat a, Concat a, s) Source # split :: (Char -> Bool) -> Concat a -> [Concat a] Source # find :: (Char -> Bool) -> Concat a -> Maybe Char Source # elem :: Char -> Concat a -> Bool Source # foldl_ :: (a0 -> Char -> a0) -> a0 -> Concat a -> a0 Source # foldl_' :: (a0 -> Char -> a0) -> a0 -> Concat a -> a0 Source # foldr_ :: (Char -> a0 -> a0) -> a0 -> Concat a -> a0 Source # takeWhile_ :: Bool -> (Char -> Bool) -> Concat a -> Concat a Source # dropWhile_ :: Bool -> (Char -> Bool) -> Concat a -> Concat a Source # break_ :: Bool -> (Char -> Bool) -> Concat a -> (Concat a, Concat a) Source # span_ :: Bool -> (Char -> Bool) -> Concat a -> (Concat a, Concat a) Source # spanMaybe_ :: s -> (s -> Char -> Maybe s) -> Concat a -> (Concat a, Concat a, s) Source # spanMaybe_' :: s -> (s -> Char -> Maybe s) -> Concat a -> (Concat a, Concat a, s) Source #

concatenate :: PositiveMonoid a => Seq a -> Concat a Source #

Deprecated: Concat is not wrapping Seq any more, don't use concatenate nor extract.

extract :: Concat a -> Seq a Source #

Deprecated: Concat is not wrapping Seq any more, don't use concatenate nor extract.

force :: Semigroup a => Concat a -> a Source #