lens-family-core-1.2.3: Haskell 98 Lens Families

Safe HaskellSafe
LanguageHaskell98

Lens.Family.State.Strict

Contents

Description

Lenses allow you to use fields of the state of a state monad as if they were variables in an imperative language. use is used to retrieve the value of a variable, and .= and %= allow you to set and modify a variable. C-style compound assignments are also provided.

Synopsis

Documentation

zoom :: Monad m => LensLike' (Zooming m c) a b -> StateT b m c -> StateT a m c Source #

zoom :: Monad m => Lens' a b -> StateT b m c -> StateT a m c

Lift a stateful operation on a field to a stateful operation on the whole state. This is a good way to call a "subroutine" that only needs access to part of the state.

zoom :: (Monoid c, Monad m) => Traversal' a b -> StateT b m c -> StateT a m c

Run the "subroutine" on each element of the traversal in turn and mconcat all the results together.

zoom :: Monad m => Traversal' a b -> StateT b m () -> StateT a m ()

Run the "subroutine" on each element the traversal in turn.

use :: Monad m => FoldLike b a a' b b' -> StateT a m b Source #

use :: Monad m => Getter a a' b b' -> StateT a m b

Retrieve a field of the state

use :: (Monoid b, Monad m) => Fold a a' b b' -> StateT a m b

Retrieve a monoidal summary of all the referenced fields from the state

uses :: Monad m => FoldLike r a a' b b' -> (b -> r) -> StateT a m r Source #

uses :: (Monoid r, Monad m) => Fold a a' b b' -> (b -> r) -> StateT a m r

Retrieve all the referenced fields from the state and foldMap the results together with f :: b -> r.

uses :: Monad m => Getter a a' b b' -> (b -> r) -> StateT a m r

Retrieve a field of the state and pass it through the function f :: b -> r.

uses l f = f <$> use l

(%=) :: Monad m => ASetter a a b b' -> (b -> b') -> StateT a m () infix 4 Source #

Modify a field of the state.

assign :: Monad m => ASetter a a b b' -> b' -> StateT a m () Source #

Set a field of the state.

(.=) :: Monad m => ASetter a a b b' -> b' -> StateT a m () infix 4 Source #

Set a field of the state.

(%%=) :: Monad m => LensLike (Writer c) a a b b' -> (b -> (c, b')) -> StateT a m c infix 4 Source #

(%%=) :: Monad m => Lens a a b b' -> (b -> (c, b')) -> StateT a m c

Modify a field of the state while returning another value.

(%%=) :: (Monad m, Monoid c) => Traversal a a b b' -> (b -> (c, b')) -> StateT a m c

Modify each field of the state and return the mconcat of the other values.

(<~) :: Monad m => ASetter a a b b' -> StateT a m b' -> StateT a m () infixr 2 Source #

Set a field of the state using the result of executing a stateful command.

Compound Assignments

(+=) :: (Monad m, Num b) => ASetter' a b -> b -> StateT a m () infixr 4 Source #

(-=) :: (Monad m, Num b) => ASetter' a b -> b -> StateT a m () infixr 4 Source #

(*=) :: (Monad m, Num b) => ASetter' a b -> b -> StateT a m () infixr 4 Source #

(//=) :: (Monad m, Fractional b) => ASetter' a b -> b -> StateT a m () infixr 4 Source #

(&&=) :: Monad m => ASetter' a Bool -> Bool -> StateT a m () infixr 4 Source #

(||=) :: Monad m => ASetter' a Bool -> Bool -> StateT a m () infixr 4 Source #

(<>=) :: (Monoid o, Monad m) => ASetter' a o -> o -> StateT a m () infixr 4 Source #

Monoidally append a value to all referenced fields of the state.

Strict Assignments

(%!=) :: Monad m => ASetter a a b b' -> (b -> b') -> StateT a m () infix 4 Source #

Strictly modify a field of the state.

(+!=) :: (Monad m, Num b) => ASetter' a b -> b -> StateT a m () infixr 4 Source #

(-!=) :: (Monad m, Num b) => ASetter' a b -> b -> StateT a m () infixr 4 Source #

(*!=) :: (Monad m, Num b) => ASetter' a b -> b -> StateT a m () infixr 4 Source #

(//!=) :: (Monad m, Fractional b) => ASetter' a b -> b -> StateT a m () infixr 4 Source #

(&&!=) :: Monad m => ASetter' a Bool -> Bool -> StateT a m () infixr 4 Source #

(||!=) :: Monad m => ASetter' a Bool -> Bool -> StateT a m () infixr 4 Source #

(<>!=) :: (Monoid o, Monad m) => ASetter' a o -> o -> StateT a m () infixr 4 Source #

Types

data Zooming m c a Source #

Instances
Monad m => Functor (Zooming m c) Source # 
Instance details

Defined in Lens.Family.State.Zoom

Methods

fmap :: (a -> b) -> Zooming m c a -> Zooming m c b #

(<$) :: a -> Zooming m c b -> Zooming m c a #

(Monoid c, Monad m) => Applicative (Zooming m c) Source # 
Instance details

Defined in Lens.Family.State.Zoom

Methods

pure :: a -> Zooming m c a #

(<*>) :: Zooming m c (a -> b) -> Zooming m c a -> Zooming m c b #

liftA2 :: (a -> b -> c0) -> Zooming m c a -> Zooming m c b -> Zooming m c c0 #

(*>) :: Zooming m c a -> Zooming m c b -> Zooming m c b #

(<*) :: Zooming m c a -> Zooming m c b -> Zooming m c a #

Re-exports

type LensLike f a a' b b' = (b -> f b') -> a -> f a' Source #

type LensLike' f a b = (b -> f b) -> a -> f a Source #

type FoldLike r a a' b b' = LensLike (Constant r) a a' b b' Source #

data Constant a (b :: k) :: forall k. * -> k -> * #

Constant functor.

Instances
Bitraversable (Constant :: * -> * -> *) 
Instance details

Defined in Data.Functor.Constant

Methods

bitraverse :: Applicative f => (a -> f c) -> (b -> f d) -> Constant a b -> f (Constant c d) #

Bifoldable (Constant :: * -> * -> *) 
Instance details

Defined in Data.Functor.Constant

Methods

bifold :: Monoid m => Constant m m -> m #

bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> Constant a b -> m #

bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> Constant a b -> c #

bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> Constant a b -> c #

Bifunctor (Constant :: * -> * -> *) 
Instance details

Defined in Data.Functor.Constant

Methods

bimap :: (a -> b) -> (c -> d) -> Constant a c -> Constant b d #

first :: (a -> b) -> Constant a c -> Constant b c #

second :: (b -> c) -> Constant a b -> Constant a c #

Eq2 (Constant :: * -> * -> *) 
Instance details

Defined in Data.Functor.Constant

Methods

liftEq2 :: (a -> b -> Bool) -> (c -> d -> Bool) -> Constant a c -> Constant b d -> Bool #

Ord2 (Constant :: * -> * -> *) 
Instance details

Defined in Data.Functor.Constant

Methods

liftCompare2 :: (a -> b -> Ordering) -> (c -> d -> Ordering) -> Constant a c -> Constant b d -> Ordering #

Read2 (Constant :: * -> * -> *) 
Instance details

Defined in Data.Functor.Constant

Methods

liftReadsPrec2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> Int -> ReadS (Constant a b) #

liftReadList2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [Constant a b] #

liftReadPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (Constant a b) #

liftReadListPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [Constant a b] #

Show2 (Constant :: * -> * -> *) 
Instance details

Defined in Data.Functor.Constant

Methods

liftShowsPrec2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> Int -> Constant a b -> ShowS #

liftShowList2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> [Constant a b] -> ShowS #

Functor (Constant a :: * -> *) 
Instance details

Defined in Data.Functor.Constant

Methods

fmap :: (a0 -> b) -> Constant a a0 -> Constant a b #

(<$) :: a0 -> Constant a b -> Constant a a0 #

Monoid a => Applicative (Constant a :: * -> *) 
Instance details

Defined in Data.Functor.Constant

Methods

pure :: a0 -> Constant a a0 #

(<*>) :: Constant a (a0 -> b) -> Constant a a0 -> Constant a b #

liftA2 :: (a0 -> b -> c) -> Constant a a0 -> Constant a b -> Constant a c #

(*>) :: Constant a a0 -> Constant a b -> Constant a b #

(<*) :: Constant a a0 -> Constant a b -> Constant a a0 #

Foldable (Constant a :: * -> *) 
Instance details

Defined in Data.Functor.Constant

Methods

fold :: Monoid m => Constant a m -> m #

foldMap :: Monoid m => (a0 -> m) -> Constant a a0 -> m #

foldr :: (a0 -> b -> b) -> b -> Constant a a0 -> b #

foldr' :: (a0 -> b -> b) -> b -> Constant a a0 -> b #

foldl :: (b -> a0 -> b) -> b -> Constant a a0 -> b #

foldl' :: (b -> a0 -> b) -> b -> Constant a a0 -> b #

foldr1 :: (a0 -> a0 -> a0) -> Constant a a0 -> a0 #

foldl1 :: (a0 -> a0 -> a0) -> Constant a a0 -> a0 #

toList :: Constant a a0 -> [a0] #

null :: Constant a a0 -> Bool #

length :: Constant a a0 -> Int #

elem :: Eq a0 => a0 -> Constant a a0 -> Bool #

maximum :: Ord a0 => Constant a a0 -> a0 #

minimum :: Ord a0 => Constant a a0 -> a0 #

sum :: Num a0 => Constant a a0 -> a0 #

product :: Num a0 => Constant a a0 -> a0 #

Traversable (Constant a :: * -> *) 
Instance details

Defined in Data.Functor.Constant

Methods

traverse :: Applicative f => (a0 -> f b) -> Constant a a0 -> f (Constant a b) #

sequenceA :: Applicative f => Constant a (f a0) -> f (Constant a a0) #

mapM :: Monad m => (a0 -> m b) -> Constant a a0 -> m (Constant a b) #

sequence :: Monad m => Constant a (m a0) -> m (Constant a a0) #

Eq a => Eq1 (Constant a :: * -> *) 
Instance details

Defined in Data.Functor.Constant

Methods

liftEq :: (a0 -> b -> Bool) -> Constant a a0 -> Constant a b -> Bool #

Ord a => Ord1 (Constant a :: * -> *) 
Instance details

Defined in Data.Functor.Constant

Methods

liftCompare :: (a0 -> b -> Ordering) -> Constant a a0 -> Constant a b -> Ordering #

Read a => Read1 (Constant a :: * -> *) 
Instance details

Defined in Data.Functor.Constant

Methods

liftReadsPrec :: (Int -> ReadS a0) -> ReadS [a0] -> Int -> ReadS (Constant a a0) #

liftReadList :: (Int -> ReadS a0) -> ReadS [a0] -> ReadS [Constant a a0] #

liftReadPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec (Constant a a0) #

liftReadListPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec [Constant a a0] #

Show a => Show1 (Constant a :: * -> *) 
Instance details

Defined in Data.Functor.Constant

Methods

liftShowsPrec :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> Int -> Constant a a0 -> ShowS #

liftShowList :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> [Constant a a0] -> ShowS #

Phantom (Constant a :: * -> *) Source # 
Instance details

Defined in Lens.Family.Phantom

Methods

coerce :: Constant a a0 -> Constant a b

Eq a => Eq (Constant a b) 
Instance details

Defined in Data.Functor.Constant

Methods

(==) :: Constant a b -> Constant a b -> Bool #

(/=) :: Constant a b -> Constant a b -> Bool #

Ord a => Ord (Constant a b) 
Instance details

Defined in Data.Functor.Constant

Methods

compare :: Constant a b -> Constant a b -> Ordering #

(<) :: Constant a b -> Constant a b -> Bool #

(<=) :: Constant a b -> Constant a b -> Bool #

(>) :: Constant a b -> Constant a b -> Bool #

(>=) :: Constant a b -> Constant a b -> Bool #

max :: Constant a b -> Constant a b -> Constant a b #

min :: Constant a b -> Constant a b -> Constant a b #

Read a => Read (Constant a b) 
Instance details

Defined in Data.Functor.Constant

Show a => Show (Constant a b) 
Instance details

Defined in Data.Functor.Constant

Methods

showsPrec :: Int -> Constant a b -> ShowS #

show :: Constant a b -> String #

showList :: [Constant a b] -> ShowS #

Semigroup a => Semigroup (Constant a b) 
Instance details

Defined in Data.Functor.Constant

Methods

(<>) :: Constant a b -> Constant a b -> Constant a b #

sconcat :: NonEmpty (Constant a b) -> Constant a b #

stimes :: Integral b0 => b0 -> Constant a b -> Constant a b #

Monoid a => Monoid (Constant a b) 
Instance details

Defined in Data.Functor.Constant

Methods

mempty :: Constant a b #

mappend :: Constant a b -> Constant a b -> Constant a b #

mconcat :: [Constant a b] -> Constant a b #

type ASetter a a' b b' = LensLike Identity a a' b b' Source #

data Identity a #

Identity functor and monad. (a non-strict monad)

Since: base-4.8.0.0

Instances
Monad Identity

Since: base-4.8.0.0

Instance details

Defined in Data.Functor.Identity

Methods

(>>=) :: Identity a -> (a -> Identity b) -> Identity b #

(>>) :: Identity a -> Identity b -> Identity b #

return :: a -> Identity a #

fail :: String -> Identity a #

Functor Identity

Since: base-4.8.0.0

Instance details

Defined in Data.Functor.Identity

Methods

fmap :: (a -> b) -> Identity a -> Identity b #

(<$) :: a -> Identity b -> Identity a #

MonadFix Identity

Since: base-4.8.0.0

Instance details

Defined in Data.Functor.Identity

Methods

mfix :: (a -> Identity a) -> Identity a #

Applicative Identity

Since: base-4.8.0.0

Instance details

Defined in Data.Functor.Identity

Methods

pure :: a -> Identity a #

(<*>) :: Identity (a -> b) -> Identity a -> Identity b #

liftA2 :: (a -> b -> c) -> Identity a -> Identity b -> Identity c #

(*>) :: Identity a -> Identity b -> Identity b #

(<*) :: Identity a -> Identity b -> Identity a #

Foldable Identity

Since: base-4.8.0.0

Instance details

Defined in Data.Functor.Identity

Methods

fold :: Monoid m => Identity m -> m #

foldMap :: Monoid m => (a -> m) -> Identity a -> m #

foldr :: (a -> b -> b) -> b -> Identity a -> b #

foldr' :: (a -> b -> b) -> b -> Identity a -> b #

foldl :: (b -> a -> b) -> b -> Identity a -> b #

foldl' :: (b -> a -> b) -> b -> Identity a -> b #

foldr1 :: (a -> a -> a) -> Identity a -> a #

foldl1 :: (a -> a -> a) -> Identity a -> a #

toList :: Identity a -> [a] #

null :: Identity a -> Bool #

length :: Identity a -> Int #

elem :: Eq a => a -> Identity a -> Bool #

maximum :: Ord a => Identity a -> a #

minimum :: Ord a => Identity a -> a #

sum :: Num a => Identity a -> a #

product :: Num a => Identity a -> a #

Traversable Identity 
Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> Identity a -> f (Identity b) #

sequenceA :: Applicative f => Identity (f a) -> f (Identity a) #

mapM :: Monad m => (a -> m b) -> Identity a -> m (Identity b) #

sequence :: Monad m => Identity (m a) -> m (Identity a) #

Eq1 Identity

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftEq :: (a -> b -> Bool) -> Identity a -> Identity b -> Bool #

Ord1 Identity

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftCompare :: (a -> b -> Ordering) -> Identity a -> Identity b -> Ordering #

Read1 Identity

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Identity a) #

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Identity a] #

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Identity a) #

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Identity a] #

Show1 Identity

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Identity a -> ShowS #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Identity a] -> ShowS #

Identical Identity Source # 
Instance details

Defined in Lens.Family.Identical

Methods

extract :: Identity a -> a

Bounded a => Bounded (Identity a) 
Instance details

Defined in Data.Functor.Identity

Enum a => Enum (Identity a) 
Instance details

Defined in Data.Functor.Identity

Eq a => Eq (Identity a) 
Instance details

Defined in Data.Functor.Identity

Methods

(==) :: Identity a -> Identity a -> Bool #

(/=) :: Identity a -> Identity a -> Bool #

Floating a => Floating (Identity a) 
Instance details

Defined in Data.Functor.Identity

Fractional a => Fractional (Identity a) 
Instance details

Defined in Data.Functor.Identity

Integral a => Integral (Identity a) 
Instance details

Defined in Data.Functor.Identity

Num a => Num (Identity a) 
Instance details

Defined in Data.Functor.Identity

Ord a => Ord (Identity a) 
Instance details

Defined in Data.Functor.Identity

Methods

compare :: Identity a -> Identity a -> Ordering #

(<) :: Identity a -> Identity a -> Bool #

(<=) :: Identity a -> Identity a -> Bool #

(>) :: Identity a -> Identity a -> Bool #

(>=) :: Identity a -> Identity a -> Bool #

max :: Identity a -> Identity a -> Identity a #

min :: Identity a -> Identity a -> Identity a #

Read a => Read (Identity a)

This instance would be equivalent to the derived instances of the Identity newtype if the runIdentity field were removed

Since: base-4.8.0.0

Instance details

Defined in Data.Functor.Identity

Real a => Real (Identity a) 
Instance details

Defined in Data.Functor.Identity

Methods

toRational :: Identity a -> Rational #

RealFloat a => RealFloat (Identity a) 
Instance details

Defined in Data.Functor.Identity

RealFrac a => RealFrac (Identity a) 
Instance details

Defined in Data.Functor.Identity

Methods

properFraction :: Integral b => Identity a -> (b, Identity a) #

truncate :: Integral b => Identity a -> b #

round :: Integral b => Identity a -> b #

ceiling :: Integral b => Identity a -> b #

floor :: Integral b => Identity a -> b #

Show a => Show (Identity a)

This instance would be equivalent to the derived instances of the Identity newtype if the runIdentity field were removed

Since: base-4.8.0.0

Instance details

Defined in Data.Functor.Identity

Methods

showsPrec :: Int -> Identity a -> ShowS #

show :: Identity a -> String #

showList :: [Identity a] -> ShowS #

Ix a => Ix (Identity a) 
Instance details

Defined in Data.Functor.Identity

Generic (Identity a) 
Instance details

Defined in Data.Functor.Identity

Associated Types

type Rep (Identity a) :: * -> * #

Methods

from :: Identity a -> Rep (Identity a) x #

to :: Rep (Identity a) x -> Identity a #

Semigroup a => Semigroup (Identity a) 
Instance details

Defined in Data.Functor.Identity

Methods

(<>) :: Identity a -> Identity a -> Identity a #

sconcat :: NonEmpty (Identity a) -> Identity a #

stimes :: Integral b => b -> Identity a -> Identity a #

Monoid a => Monoid (Identity a) 
Instance details

Defined in Data.Functor.Identity

Methods

mempty :: Identity a #

mappend :: Identity a -> Identity a -> Identity a #

mconcat :: [Identity a] -> Identity a #

Storable a => Storable (Identity a) 
Instance details

Defined in Data.Functor.Identity

Methods

sizeOf :: Identity a -> Int #

alignment :: Identity a -> Int #

peekElemOff :: Ptr (Identity a) -> Int -> IO (Identity a) #

pokeElemOff :: Ptr (Identity a) -> Int -> Identity a -> IO () #

peekByteOff :: Ptr b -> Int -> IO (Identity a) #

pokeByteOff :: Ptr b -> Int -> Identity a -> IO () #

peek :: Ptr (Identity a) -> IO (Identity a) #

poke :: Ptr (Identity a) -> Identity a -> IO () #

Bits a => Bits (Identity a) 
Instance details

Defined in Data.Functor.Identity

FiniteBits a => FiniteBits (Identity a) 
Instance details

Defined in Data.Functor.Identity

Generic1 Identity 
Instance details

Defined in Data.Functor.Identity

Associated Types

type Rep1 Identity :: k -> * #

Methods

from1 :: Identity a -> Rep1 Identity a #

to1 :: Rep1 Identity a -> Identity a #

type Rep (Identity a) 
Instance details

Defined in Data.Functor.Identity

type Rep (Identity a) = D1 (MetaData "Identity" "Data.Functor.Identity" "base" True) (C1 (MetaCons "Identity" PrefixI True) (S1 (MetaSel (Just "runIdentity") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 a)))
type Rep1 Identity 
Instance details

Defined in Data.Functor.Identity

type Rep1 Identity = D1 (MetaData "Identity" "Data.Functor.Identity" "base" True) (C1 (MetaCons "Identity" PrefixI True) (S1 (MetaSel (Just "runIdentity") NoSourceUnpackedness NoSourceStrictness DecidedLazy) Par1))

data StateT s (m :: * -> *) a #

A state transformer monad parameterized by:

  • s - The state.
  • m - The inner monad.

The return function leaves the state unchanged, while >>= uses the final state of the first computation as the initial state of the second.

Instances
MonadTrans (StateT s) 
Instance details

Defined in Control.Monad.Trans.State.Strict

Methods

lift :: Monad m => m a -> StateT s m a #

Monad m => Monad (StateT s m) 
Instance details

Defined in Control.Monad.Trans.State.Strict

Methods

(>>=) :: StateT s m a -> (a -> StateT s m b) -> StateT s m b #

(>>) :: StateT s m a -> StateT s m b -> StateT s m b #

return :: a -> StateT s m a #

fail :: String -> StateT s m a #

Functor m => Functor (StateT s m) 
Instance details

Defined in Control.Monad.Trans.State.Strict

Methods

fmap :: (a -> b) -> StateT s m a -> StateT s m b #

(<$) :: a -> StateT s m b -> StateT s m a #

MonadFix m => MonadFix (StateT s m) 
Instance details

Defined in Control.Monad.Trans.State.Strict

Methods

mfix :: (a -> StateT s m a) -> StateT s m a #

MonadFail m => MonadFail (StateT s m) 
Instance details

Defined in Control.Monad.Trans.State.Strict

Methods

fail :: String -> StateT s m a #

(Functor m, Monad m) => Applicative (StateT s m) 
Instance details

Defined in Control.Monad.Trans.State.Strict

Methods

pure :: a -> StateT s m a #

(<*>) :: StateT s m (a -> b) -> StateT s m a -> StateT s m b #

liftA2 :: (a -> b -> c) -> StateT s m a -> StateT s m b -> StateT s m c #

(*>) :: StateT s m a -> StateT s m b -> StateT s m b #

(<*) :: StateT s m a -> StateT s m b -> StateT s m a #

MonadIO m => MonadIO (StateT s m) 
Instance details

Defined in Control.Monad.Trans.State.Strict

Methods

liftIO :: IO a -> StateT s m a #

(Functor m, MonadPlus m) => Alternative (StateT s m) 
Instance details

Defined in Control.Monad.Trans.State.Strict

Methods

empty :: StateT s m a #

(<|>) :: StateT s m a -> StateT s m a -> StateT s m a #

some :: StateT s m a -> StateT s m [a] #

many :: StateT s m a -> StateT s m [a] #

MonadPlus m => MonadPlus (StateT s m) 
Instance details

Defined in Control.Monad.Trans.State.Strict

Methods

mzero :: StateT s m a #

mplus :: StateT s m a -> StateT s m a -> StateT s m a #

type Writer w = WriterT w Identity #

A writer monad parameterized by the type w of output to accumulate.

The return function produces the output mempty, while >>= combines the outputs of the subcomputations using mappend.

class Semigroup a => Monoid a #

The class of monoids (types with an associative binary operation that has an identity). Instances should satisfy the following laws:

The method names refer to the monoid of lists under concatenation, but there are many other instances.

Some types can be viewed as a monoid in more than one way, e.g. both addition and multiplication on numbers. In such cases we often define newtypes and make those instances of Monoid, e.g. Sum and Product.

NOTE: Semigroup is a superclass of Monoid since base-4.11.0.0.

Minimal complete definition

mempty

Instances
Monoid Ordering

Since: base-2.1

Instance details

Defined in GHC.Base

Monoid ()

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mempty :: () #

mappend :: () -> () -> () #

mconcat :: [()] -> () #

Monoid All

Since: base-2.1

Instance details

Defined in Data.Semigroup.Internal

Methods

mempty :: All #

mappend :: All -> All -> All #

mconcat :: [All] -> All #

Monoid Any

Since: base-2.1

Instance details

Defined in Data.Semigroup.Internal

Methods

mempty :: Any #

mappend :: Any -> Any -> Any #

mconcat :: [Any] -> Any #

Monoid IntSet 
Instance details

Defined in Data.IntSet.Internal

Monoid [a]

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mempty :: [a] #

mappend :: [a] -> [a] -> [a] #

mconcat :: [[a]] -> [a] #

Semigroup a => Monoid (Maybe a)

Lift a semigroup into Maybe forming a Monoid according to http://en.wikipedia.org/wiki/Monoid: "Any semigroup S may be turned into a monoid simply by adjoining an element e not in S and defining e*e = e and e*s = s = s*e for all s ∈ S."

Since 4.11.0: constraint on inner a value generalised from Monoid to Semigroup.

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mempty :: Maybe a #

mappend :: Maybe a -> Maybe a -> Maybe a #

mconcat :: [Maybe a] -> Maybe a #

Monoid a => Monoid (IO a)

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

mempty :: IO a #

mappend :: IO a -> IO a -> IO a #

mconcat :: [IO a] -> IO a #

(Ord a, Bounded a) => Monoid (Min a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

mempty :: Min a #

mappend :: Min a -> Min a -> Min a #

mconcat :: [Min a] -> Min a #

(Ord a, Bounded a) => Monoid (Max a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

mempty :: Max a #

mappend :: Max a -> Max a -> Max a #

mconcat :: [Max a] -> Max a #

Monoid m => Monoid (WrappedMonoid m)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Semigroup a => Monoid (Option a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

mempty :: Option a #

mappend :: Option a -> Option a -> Option a #

mconcat :: [Option a] -> Option a #

Monoid a => Monoid (Identity a) 
Instance details

Defined in Data.Functor.Identity

Methods

mempty :: Identity a #

mappend :: Identity a -> Identity a -> Identity a #

mconcat :: [Identity a] -> Identity a #

Monoid (First a)

Since: base-2.1

Instance details

Defined in Data.Monoid

Methods

mempty :: First a #

mappend :: First a -> First a -> First a #

mconcat :: [First a] -> First a #

Monoid (Last a)

Since: base-2.1

Instance details

Defined in Data.Monoid

Methods

mempty :: Last a #

mappend :: Last a -> Last a -> Last a #

mconcat :: [Last a] -> Last a #

Monoid a => Monoid (Dual a)

Since: base-2.1

Instance details

Defined in Data.Semigroup.Internal

Methods

mempty :: Dual a #

mappend :: Dual a -> Dual a -> Dual a #

mconcat :: [Dual a] -> Dual a #

Monoid (Endo a)

Since: base-2.1

Instance details

Defined in Data.Semigroup.Internal

Methods

mempty :: Endo a #

mappend :: Endo a -> Endo a -> Endo a #

mconcat :: [Endo a] -> Endo a #

Num a => Monoid (Sum a)

Since: base-2.1

Instance details

Defined in Data.Semigroup.Internal

Methods

mempty :: Sum a #

mappend :: Sum a -> Sum a -> Sum a #

mconcat :: [Sum a] -> Sum a #

Num a => Monoid (Product a)

Since: base-2.1

Instance details

Defined in Data.Semigroup.Internal

Methods

mempty :: Product a #

mappend :: Product a -> Product a -> Product a #

mconcat :: [Product a] -> Product a #

Monoid (IntMap a) 
Instance details

Defined in Data.IntMap.Internal

Methods

mempty :: IntMap a #

mappend :: IntMap a -> IntMap a -> IntMap a #

mconcat :: [IntMap a] -> IntMap a #

Ord a => Monoid (Set a) 
Instance details

Defined in Data.Set.Internal

Methods

mempty :: Set a #

mappend :: Set a -> Set a -> Set a #

mconcat :: [Set a] -> Set a #

Monoid (MergeSet a) 
Instance details

Defined in Data.Set.Internal

Methods

mempty :: MergeSet a #

mappend :: MergeSet a -> MergeSet a -> MergeSet a #

mconcat :: [MergeSet a] -> MergeSet a #

Monoid b => Monoid (a -> b)

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mempty :: a -> b #

mappend :: (a -> b) -> (a -> b) -> a -> b #

mconcat :: [a -> b] -> a -> b #

(Monoid a, Monoid b) => Monoid (a, b)

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mempty :: (a, b) #

mappend :: (a, b) -> (a, b) -> (a, b) #

mconcat :: [(a, b)] -> (a, b) #

Monoid (Proxy s)

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

mempty :: Proxy s #

mappend :: Proxy s -> Proxy s -> Proxy s #

mconcat :: [Proxy s] -> Proxy s #

Ord k => Monoid (Map k v) 
Instance details

Defined in Data.Map.Internal

Methods

mempty :: Map k v #

mappend :: Map k v -> Map k v -> Map k v #

mconcat :: [Map k v] -> Map k v #

(Monoid a, Monoid b, Monoid c) => Monoid (a, b, c)

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mempty :: (a, b, c) #

mappend :: (a, b, c) -> (a, b, c) -> (a, b, c) #

mconcat :: [(a, b, c)] -> (a, b, c) #

Monoid a => Monoid (Const a b) 
Instance details

Defined in Data.Functor.Const

Methods

mempty :: Const a b #

mappend :: Const a b -> Const a b -> Const a b #

mconcat :: [Const a b] -> Const a b #

Alternative f => Monoid (Alt f a)

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

mempty :: Alt f a #

mappend :: Alt f a -> Alt f a -> Alt f a #

mconcat :: [Alt f a] -> Alt f a #

Monoid a => Monoid (Constant a b) 
Instance details

Defined in Data.Functor.Constant

Methods

mempty :: Constant a b #

mappend :: Constant a b -> Constant a b -> Constant a b #

mconcat :: [Constant a b] -> Constant a b #

(Monoid a, Monoid b, Monoid c, Monoid d) => Monoid (a, b, c, d)

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mempty :: (a, b, c, d) #

mappend :: (a, b, c, d) -> (a, b, c, d) -> (a, b, c, d) #

mconcat :: [(a, b, c, d)] -> (a, b, c, d) #

(Monoid a, Monoid b, Monoid c, Monoid d, Monoid e) => Monoid (a, b, c, d, e)

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mempty :: (a, b, c, d, e) #

mappend :: (a, b, c, d, e) -> (a, b, c, d, e) -> (a, b, c, d, e) #

mconcat :: [(a, b, c, d, e)] -> (a, b, c, d, e) #