Data.Fold.M1

Documentation

data M1 a b

A semigroup reducer

Constructors

M1 (m -> b) (a -> m) (m -> m -> m)

Instances

Arrow M1

Methods

arr :: (b -> c) -> M1 b c

first :: M1 b c -> M1 (b, d) (c, d)

second :: M1 b c -> M1 (d, b) (d, c)

(***) :: M1 b c -> M1 b' c' -> M1 (b, b') (c, c')

(&&&) :: M1 b c -> M1 b c' -> M1 b (c, c')

ArrowChoice M1

Methods

left :: M1 b c -> M1 (Either b d) (Either c d)

right :: M1 b c -> M1 (Either d b) (Either d c)

(+++) :: M1 b c -> M1 b' c' -> M1 (Either b b') (Either c c')

(|||) :: M1 b d -> M1 c d -> M1 (Either b c) d

Corepresentable M1

Associated Types

type Corep (M1 :: * -> * -> *) :: * -> *

Methods

cotabulate :: (Corep M1 d -> c) -> M1 d c

Profunctor M1

Methods

dimap :: (a -> b) -> (c -> d) -> M1 b c -> M1 a d

lmap :: (a -> b) -> M1 b c -> M1 a c

rmap :: (b -> c) -> M1 a b -> M1 a c

(#.) :: Coercible * c b => (b -> c) -> M1 a b -> M1 a c

(.#) :: Coercible * b a => M1 b c -> (a -> b) -> M1 a c

Choice M1

Methods

left' :: M1 a b -> M1 (Either a c) (Either b c)

right' :: M1 a b -> M1 (Either c a) (Either c b)

Closed M1

Methods

closed :: M1 a b -> M1 (x -> a) (x -> b)

Strong M1

Methods

first' :: M1 a b -> M1 (a, c) (b, c)

second' :: M1 a b -> M1 (c, a) (c, b)

Costrong M1

Methods

unfirst :: M1 (a, d) (b, d) -> M1 a b

unsecond :: M1 (d, a) (d, b) -> M1 a b

Scan M1

Methods

prefix1 :: a -> M1 a b -> M1 a b

postfix1 :: M1 a b -> a -> M1 a b

run1 :: a -> M1 a b -> b

interspersing :: a -> M1 a b -> M1 a b

AsRM1 M1

Methods

asM1 :: M1 a b -> M1 a b

asR1 :: M1 a b -> R1 a b

Cosieve M1 FreeSemigroup

Methods

cosieve :: M1 a b -> FreeSemigroup a -> b

Monad (M1 a)

Methods

(>>=) :: M1 a a -> (a -> M1 a b) -> M1 a b

(>>) :: M1 a a -> M1 a b -> M1 a b

return :: a -> M1 a a

fail :: String -> M1 a a

Functor (M1 a)

Methods

fmap :: (a -> b) -> M1 a a -> M1 a b

(<$) :: a -> M1 a b -> M1 a a

MonadFix (M1 a)

Methods

mfix :: (a -> M1 a a) -> M1 a a

Applicative (M1 a)

Methods

pure :: a -> M1 a a

(<*>) :: M1 a (a -> b) -> M1 a a -> M1 a b

(*>) :: M1 a a -> M1 a b -> M1 a b

(<*) :: M1 a a -> M1 a b -> M1 a a

Distributive (M1 a)

Methods

distribute :: Functor f => f (M1 a a) -> M1 a (f a)

collect :: Functor f => (a -> M1 a b) -> f a -> M1 a (f b)

distributeM :: Monad m => m (M1 a a) -> M1 a (m a)

collectM :: Monad m => (a -> M1 a b) -> m a -> M1 a (m b)

Representable (M1 a)

Associated Types

type Rep (M1 a :: * -> *) :: *

Methods

tabulate :: (Rep (M1 a) -> a) -> M1 a a

index :: M1 a a -> Rep (M1 a) -> a

MonadZip (M1 a)

Methods

mzip :: M1 a a -> M1 a b -> M1 a (a, b)

mzipWith :: (a -> b -> c) -> M1 a a -> M1 a b -> M1 a c

munzip :: M1 a (a, b) -> (M1 a a, M1 a b)

Pointed (M1 a)

Methods

point :: a -> M1 a a

Apply (M1 a)

Methods

(<.>) :: M1 a (a -> b) -> M1 a a -> M1 a b

(.>) :: M1 a a -> M1 a b -> M1 a b

(<.) :: M1 a a -> M1 a b -> M1 a a

Category * M1

Methods

id :: cat a a

(.) :: cat b c -> cat a b -> cat a c

Semigroupoid * M1

Methods

o :: c j k1 -> c i j -> c i k1

MonadReader (FreeSemigroup a) (M1 a)

Methods

ask :: M1 a (FreeSemigroup a)

local :: (FreeSemigroup a -> FreeSemigroup a) -> M1 a a -> M1 a a

reader :: (FreeSemigroup a -> a) -> M1 a a

type Corep M1

type Corep M1 = FreeSemigroup

type Rep (M1 a)

type Rep (M1 a) = FreeSemigroup a

runM1 :: Foldable1 f => f a -> M1 a b -> b