Prelude

This module essentially replaces the default Prelude with Universum.

It works because we are using the 'base-noprelude' package instead of base.

Documentation

(&) :: a -> (a -> b) -> b infixl 1

& is a reverse application operator. This provides notational convenience. Its precedence is one higher than that of the forward application operator $, which allows & to be nested in $.

>>> 5 & (+1) & show
"6"

Since: base-4.8.0.0

(<&>) :: Functor f => f a -> (a -> b) -> f b infixl 1

Flipped version of <$>.

(<&>) = flip fmap

Examples

Apply (+1) to a list, a Just and a Right:

>>> Just 2 <&> (+1)
Just 3

>>> [1,2,3] <&> (+1)
[2,3,4]

>>> Right 3 <&> (+1)
Right 4

Since: base-4.11.0.0

preuse :: MonadState s m => Getting (First a) s a -> m (Maybe a)

Retrieve the first value targeted by a Fold or Traversal (or Just the result from a Getter or Lens) into the current state.

preuse = use . pre

preuse :: MonadState s m => Getter s a     -> m (Maybe a)
preuse :: MonadState s m => Fold s a       -> m (Maybe a)
preuse :: MonadState s m => Lens' s a      -> m (Maybe a)
preuse :: MonadState s m => Iso' s a       -> m (Maybe a)
preuse :: MonadState s m => Traversal' s a -> m (Maybe a)

preview :: MonadReader s m => Getting (First a) s a -> m (Maybe a)

Retrieve the first value targeted by a Fold or Traversal (or Just the result from a Getter or Lens). See also firstOf and ^?, which are similar with some subtle differences (explained below).

listToMaybe . toList ≡ preview folded

preview = view . pre

Unlike ^?, this function uses a MonadReader to read the value to be focused in on. This allows one to pass the value as the last argument by using the MonadReader instance for (->) s However, it may also be used as part of some deeply nested transformer stack.

preview uses a monoidal value to obtain the result. This means that it generally has good performance, but can occasionally cause space leaks or even stack overflows on some data types. There is another function, firstOf, which avoids these issues at the cost of a slight constant performance cost and a little less flexibility.

It may be helpful to think of preview as having one of the following more specialized types:

preview :: Getter s a     -> s -> Maybe a
preview :: Fold s a       -> s -> Maybe a
preview :: Lens' s a      -> s -> Maybe a
preview :: Iso' s a       -> s -> Maybe a
preview :: Traversal' s a -> s -> Maybe a

preview :: MonadReader s m => Getter s a     -> m (Maybe a)
preview :: MonadReader s m => Fold s a       -> m (Maybe a)
preview :: MonadReader s m => Lens' s a      -> m (Maybe a)
preview :: MonadReader s m => Iso' s a       -> m (Maybe a)
preview :: MonadReader s m => Traversal' s a -> m (Maybe a)

(^?) :: s -> Getting (First a) s a -> Maybe a infixl 8

Perform a safe head of a Fold or Traversal or retrieve Just the result from a Getter or Lens.

When using a Traversal as a partial Lens, or a Fold as a partial Getter this can be a convenient way to extract the optional value.

Note: if you get stack overflows due to this, you may want to use firstOf instead, which can deal more gracefully with heavily left-biased trees. This is because ^? works by using the First monoid, which can occasionally cause space leaks.

>>> Left 4 ^?_Left
Just 4

>>> Right 4 ^?_Left
Nothing

>>> "world" ^? ix 3
Just 'l'

>>> "world" ^? ix 20
Nothing

This operator works as an infix version of preview.

(^?) ≡ flip preview

It may be helpful to think of ^? as having one of the following more specialized types:

(^?) :: s -> Getter s a     -> Maybe a
(^?) :: s -> Fold s a       -> Maybe a
(^?) :: s -> Lens' s a      -> Maybe a
(^?) :: s -> Iso' s a       -> Maybe a
(^?) :: s -> Traversal' s a -> Maybe a

(^..) :: s -> Getting (Endo [a]) s a -> [a] infixl 8

A convenient infix (flipped) version of toListOf.

>>> [[1,2],[3]]^..id
[[[1,2],[3]]]
>>> [[1,2],[3]]^..traverse
[[1,2],[3]]
>>> [[1,2],[3]]^..traverse.traverse
[1,2,3]

>>> (1,2)^..both
[1,2]

toList xs ≡ xs ^.. folded
(^..) ≡ flip toListOf

(^..) :: s -> Getter s a     -> a :: s -> Fold s a       -> a :: s -> Lens' s a      -> a :: s -> Iso' s a       -> a :: s -> Traversal' s a -> a :: s -> Prism' s a     -> [a]

use :: MonadState s m => Getting a s a -> m a

Use the target of a Lens, Iso, or Getter in the current state, or use a summary of a Fold or Traversal that points to a monoidal value.

>>> evalState (use _1) (a,b)
a

>>> evalState (use _1) ("hello","world")
"hello"

use :: MonadState s m             => Getter s a     -> m a
use :: (MonadState s m, Monoid r) => Fold s r       -> m r
use :: MonadState s m             => Iso' s a       -> m a
use :: MonadState s m             => Lens' s a      -> m a
use :: (MonadState s m, Monoid r) => Traversal' s r -> m r

(^.) :: s -> Getting a s a -> a infixl 8

View the value pointed to by a Getter or Lens or the result of folding over all the results of a Fold or Traversal that points at a monoidal values.

This is the same operation as view with the arguments flipped.

The fixity and semantics are such that subsequent field accesses can be performed with (.).

>>> (a,b)^._2
b

>>> ("hello","world")^._2
"world"

>>> import Data.Complex
>>> ((0, 1 :+ 2), 3)^._1._2.to magnitude
2.23606797749979

(^.) ::             s -> Getter s a     -> a
(^.) :: Monoid m => s -> Fold s m       -> m
(^.) ::             s -> Iso' s a       -> a
(^.) ::             s -> Lens' s a      -> a
(^.) :: Monoid m => s -> Traversal' s m -> m

view :: MonadReader s m => Getting a s a -> m a

View the value pointed to by a Getter, Iso or Lens or the result of folding over all the results of a Fold or Traversal that points at a monoidal value.

view . to ≡ id

>>> view (to f) a
f a

>>> view _2 (1,"hello")
"hello"

>>> view (to succ) 5
6

>>> view (_2._1) ("hello",("world","!!!"))
"world"

As view is commonly used to access the target of a Getter or obtain a monoidal summary of the targets of a Fold, It may be useful to think of it as having one of these more restricted signatures:

view ::             Getter s a     -> s -> a
view :: Monoid m => Fold s m       -> s -> m
view ::             Iso' s a       -> s -> a
view ::             Lens' s a      -> s -> a
view :: Monoid m => Traversal' s m -> s -> m

In a more general setting, such as when working with a Monad transformer stack you can use:

view :: MonadReader s m             => Getter s a     -> m a
view :: (MonadReader s m, Monoid a) => Fold s a       -> m a
view :: MonadReader s m             => Iso' s a       -> m a
view :: MonadReader s m             => Lens' s a      -> m a
view :: (MonadReader s m, Monoid a) => Traversal' s a -> m a

_1 :: Field1 s t a b => Lens s t a b

Access the 1st field of a tuple (and possibly change its type).

>>> (1,2)^._1
1

>>> _1 .~ "hello" $ (1,2)
("hello",2)

>>> (1,2) & _1 .~ "hello"
("hello",2)

>>> _1 putStrLn ("hello","world")
hello
((),"world")

This can also be used on larger tuples as well:

>>> (1,2,3,4,5) & _1 +~ 41
(42,2,3,4,5)

_1 :: Lens (a,b) (a',b) a a'
_1 :: Lens (a,b,c) (a',b,c) a a'
_1 :: Lens (a,b,c,d) (a',b,c,d) a a'
...
_1 :: Lens (a,b,c,d,e,f,g,h,i) (a',b,c,d,e,f,g,h,i) a a'

_2 :: Field2 s t a b => Lens s t a b

Access the 2nd field of a tuple.

>>> _2 .~ "hello" $ (1,(),3,4)
(1,"hello",3,4)

>>> (1,2,3,4) & _2 *~ 3
(1,6,3,4)

>>> _2 print (1,2)
2
(1,())

anyOf _2 :: (s -> Bool) -> (a, s) -> Bool
traverse . _2 :: (Applicative f, Traversable t) => (a -> f b) -> t (s, a) -> f (t (s, b))
foldMapOf (traverse . _2) :: (Traversable t, Monoid m) => (s -> m) -> t (b, s) -> m

_3 :: Field3 s t a b => Lens s t a b

Access the 3rd field of a tuple.

_4 :: Field4 s t a b => Lens s t a b

Access the 4th field of a tuple.

_5 :: Field5 s t a b => Lens s t a b

Access the 5th field of a tuple.

(.~) :: ASetter s t a b -> b -> s -> t infixr 4

Replace the target of a Lens or all of the targets of a Setter or Traversal with a constant value.

This is an infix version of set, provided for consistency with (.=).

f <$ a ≡ mapped .~ f $ a

>>> (a,b,c,d) & _4 .~ e
(a,b,c,e)

>>> (42,"world") & _1 .~ "hello"
("hello","world")

>>> (a,b) & both .~ c
(c,c)

(.~) :: Setter s t a b    -> b -> s -> t
(.~) :: Iso s t a b       -> b -> s -> t
(.~) :: Lens s t a b      -> b -> s -> t
(.~) :: Traversal s t a b -> b -> s -> t

(%~) :: ASetter s t a b -> (a -> b) -> s -> t infixr 4

Modifies the target of a Lens or all of the targets of a Setter or Traversal with a user supplied function.

This is an infix version of over.

fmap f ≡ mapped %~ f
fmapDefault f ≡ traverse %~ f

>>> (a,b,c) & _3 %~ f
(a,b,f c)

>>> (a,b) & both %~ f
(f a,f b)

>>> _2 %~ length $ (1,"hello")
(1,5)

>>> traverse %~ f $ [a,b,c]
[f a,f b,f c]

>>> traverse %~ even $ [1,2,3]
[False,True,False]

>>> traverse.traverse %~ length $ [["hello","world"],["!!!"]]
[[5,5],[3]]

(%~) :: Setter s t a b    -> (a -> b) -> s -> t
(%~) :: Iso s t a b       -> (a -> b) -> s -> t
(%~) :: Lens s t a b      -> (a -> b) -> s -> t
(%~) :: Traversal s t a b -> (a -> b) -> s -> t

set :: ASetter s t a b -> b -> s -> t

Replace the target of a Lens or all of the targets of a Setter or Traversal with a constant value.

(<$) ≡ set mapped

>>> set _2 "hello" (1,())
(1,"hello")

>>> set mapped () [1,2,3,4]
[(),(),(),()]

Note: Attempting to set a Fold or Getter will fail at compile time with an relatively nice error message.

set :: Setter s t a b    -> b -> s -> t
set :: Iso s t a b       -> b -> s -> t
set :: Lens s t a b      -> b -> s -> t
set :: Traversal s t a b -> b -> s -> t

over :: ASetter s t a b -> (a -> b) -> s -> t

Modify the target of a Lens or all the targets of a Setter or Traversal with a function.

fmap ≡ over mapped
fmapDefault ≡ over traverse
sets . over ≡ id
over . sets ≡ id

Given any valid Setter l, you can also rely on the law:

over l f . over l g = over l (f . g)

e.g.

>>> over mapped f (over mapped g [a,b,c]) == over mapped (f . g) [a,b,c]
True

Another way to view over is to say that it transforms a Setter into a "semantic editor combinator".

>>> over mapped f (Just a)
Just (f a)

>>> over mapped (*10) [1,2,3]
[10,20,30]

>>> over _1 f (a,b)
(f a,b)

>>> over _1 show (10,20)
("10",20)

over :: Setter s t a b -> (a -> b) -> s -> t
over :: ASetter s t a b -> (a -> b) -> s -> t

type Lens s t a b = forall (f :: Type -> Type). Functor f => (a -> f b) -> s -> f t

A Lens is actually a lens family as described in http://comonad.com/reader/2012/mirrored-lenses/.

With great power comes great responsibility and a Lens is subject to the three common sense Lens laws:

1) You get back what you put in:

view l (set l v s)  ≡ v

2) Putting back what you got doesn't change anything:

set l (view l s) s  ≡ s

3) Setting twice is the same as setting once:

set l v' (set l v s) ≡ set l v' s

These laws are strong enough that the 4 type parameters of a Lens cannot vary fully independently. For more on how they interact, read the "Why is it a Lens Family?" section of http://comonad.com/reader/2012/mirrored-lenses/.

There are some emergent properties of these laws:

1) set l s must be injective for every s This is a consequence of law #1

2) set l must be surjective, because of law #2, which indicates that it is possible to obtain any v from some s such that set s v = s

3) Given just the first two laws you can prove a weaker form of law #3 where the values v that you are setting match:

set l v (set l v s) ≡ set l v s

Every Lens can be used directly as a Setter or Traversal.

You can also use a Lens for Getting as if it were a Fold or Getter.

Since every Lens is a valid Traversal, the Traversal laws are required of any Lens you create:

l pure ≡ pure
fmap (l f) . l g ≡ getCompose . l (Compose . fmap f . g)

type Lens s t a b = forall f. Functor f => LensLike f s t a b

type Lens' s a = Lens s s a a

type Lens' = Simple Lens

type Traversal s t a b = forall (f :: Type -> Type). Applicative f => (a -> f b) -> s -> f t

A Traversal can be used directly as a Setter or a Fold (but not as a Lens) and provides the ability to both read and update multiple fields, subject to some relatively weak Traversal laws.

These have also been known as multilenses, but they have the signature and spirit of

traverse :: Traversable f => Traversal (f a) (f b) a b

and the more evocative name suggests their application.

Most of the time the Traversal you will want to use is just traverse, but you can also pass any Lens or Iso as a Traversal, and composition of a Traversal (or Lens or Iso) with a Traversal (or Lens or Iso) using (.) forms a valid Traversal.

The laws for a Traversal t follow from the laws for Traversable as stated in "The Essence of the Iterator Pattern".

t pure ≡ pure
fmap (t f) . t g ≡ getCompose . t (Compose . fmap f . g)

One consequence of this requirement is that a Traversal needs to leave the same number of elements as a candidate for subsequent Traversal that it started with. Another testament to the strength of these laws is that the caveat expressed in section 5.5 of the "Essence of the Iterator Pattern" about exotic Traversable instances that traverse the same entry multiple times was actually already ruled out by the second law in that same paper!

type Traversal' s a = Traversal s s a a

type Traversal' = Simple Traversal

(++) :: [a] -> [a] -> [a] infixr 5

Append two lists, i.e.,

[x1, ..., xm] ++ [y1, ..., yn] == [x1, ..., xm, y1, ..., yn]
[x1, ..., xm] ++ [y1, ...] == [x1, ..., xm, y1, ...]

If the first list is not finite, the result is the first list.

seq :: forall (r :: RuntimeRep) a (b :: TYPE r). a -> b -> b infixr 0

The value of seq a b is bottom if a is bottom, and otherwise equal to b. In other words, it evaluates the first argument a to weak head normal form (WHNF). seq is usually introduced to improve performance by avoiding unneeded laziness.

A note on evaluation order: the expression seq a b does not guarantee that a will be evaluated before b. The only guarantee given by seq is that the both a and b will be evaluated before seq returns a value. In particular, this means that b may be evaluated before a. If you need to guarantee a specific order of evaluation, you must use the function pseq from the "parallel" package.

filter :: (a -> Bool) -> [a] -> [a]

\(\mathcal{O}(n)\). filter, applied to a predicate and a list, returns the list of those elements that satisfy the predicate; i.e.,

filter p xs = [ x | x <- xs, p x]

>>> filter odd [1, 2, 3]
[1,3]

zip :: [a] -> [b] -> [(a, b)]

\(\mathcal{O}(\min(m,n))\). zip takes two lists and returns a list of corresponding pairs.

zip [1, 2] ['a', 'b'] = [(1, 'a'), (2, 'b')]

If one input list is short, excess elements of the longer list are discarded:

zip [1] ['a', 'b'] = [(1, 'a')]
zip [1, 2] ['a'] = [(1, 'a')]

zip is right-lazy:

zip [] _|_ = []
zip _|_ [] = _|_

zip is capable of list fusion, but it is restricted to its first list argument and its resulting list.

fst :: (a, b) -> a

Extract the first component of a pair.

snd :: (a, b) -> b

Extract the second component of a pair.

otherwise :: Bool

otherwise is defined as the value True. It helps to make guards more readable. eg.

 f x | x < 0     = ...
     | otherwise = ...

($) :: forall (r :: RuntimeRep) a (b :: TYPE r). (a -> b) -> a -> b infixr 0

Application operator. This operator is redundant, since ordinary application (f x) means the same as (f $ x). However, $ has low, right-associative binding precedence, so it sometimes allows parentheses to be omitted; for example:

f $ g $ h x  =  f (g (h x))

It is also useful in higher-order situations, such as map ($ 0) xs, or zipWith ($) fs xs.

Note that ($) is levity-polymorphic in its result type, so that foo $ True where foo :: Bool -> Int# is well-typed.

fromIntegral :: (Integral a, Num b) => a -> b

general coercion from integral types

realToFrac :: (Real a, Fractional b) => a -> b

general coercion to fractional types

guard :: Alternative f => Bool -> f ()

Conditional failure of Alternative computations. Defined by

guard True  = pure ()
guard False = empty

Examples

Common uses of guard include conditionally signaling an error in an error monad and conditionally rejecting the current choice in an Alternative-based parser.

As an example of signaling an error in the error monad Maybe, consider a safe division function safeDiv x y that returns Nothing when the denominator y is zero and Just (x `div` y) otherwise. For example:

>>> safeDiv 4 0
Nothing
>>> safeDiv 4 2
Just 2

A definition of safeDiv using guards, but not guard:

safeDiv :: Int -> Int -> Maybe Int
safeDiv x y | y /= 0    = Just (x `div` y)
            | otherwise = Nothing

A definition of safeDiv using guard and Monad do-notation:

safeDiv :: Int -> Int -> Maybe Int
safeDiv x y = do
  guard (y /= 0)
  return (x `div` y)

join :: Monad m => m (m a) -> m a

The join function is the conventional monad join operator. It is used to remove one level of monadic structure, projecting its bound argument into the outer level.

'join bss' can be understood as the do expression

do bs <- bss
   bs

Examples

A common use of join is to run an IO computation returned from an STM transaction, since STM transactions can't perform IO directly. Recall that

atomically :: STM a -> IO a

is used to run STM transactions atomically. So, by specializing the types of atomically and join to

atomically :: STM (IO b) -> IO (IO b)
join       :: IO (IO b)  -> IO b

we can compose them as

join . atomically :: STM (IO b) -> IO b

to run an STM transaction and the IO action it returns.

class Bounded a where

The Bounded class is used to name the upper and lower limits of a type. Ord is not a superclass of Bounded since types that are not totally ordered may also have upper and lower bounds.

The Bounded class may be derived for any enumeration type; minBound is the first constructor listed in the data declaration and maxBound is the last. Bounded may also be derived for single-constructor datatypes whose constituent types are in Bounded.

Methods

minBound :: a

maxBound :: a

Instances

Bounded Bool

Since: base-2.1

Defined in GHC.Enum

Methods

minBound :: Bool

maxBound :: Bool

Bounded Char

Since: base-2.1

Defined in GHC.Enum

Methods

minBound :: Char

maxBound :: Char

Bounded Int

Since: base-2.1

Defined in GHC.Enum

Methods

minBound :: Int

maxBound :: Int

Bounded Int8

Since: base-2.1

Defined in GHC.Int

Methods

minBound :: Int8

maxBound :: Int8

Bounded Int16

Since: base-2.1

Defined in GHC.Int

Methods

minBound :: Int16

maxBound :: Int16

Bounded Int32

Since: base-2.1

Defined in GHC.Int

Methods

minBound :: Int32

maxBound :: Int32

Bounded Int64

Since: base-2.1

Defined in GHC.Int

Methods

minBound :: Int64

maxBound :: Int64

Bounded Ordering

Since: base-2.1

Defined in GHC.Enum

Methods

minBound :: Ordering

maxBound :: Ordering

Bounded Word

Since: base-2.1

Defined in GHC.Enum

Methods

minBound :: Word

maxBound :: Word

Bounded Word8

Since: base-2.1

Defined in GHC.Word

Methods

minBound :: Word8

maxBound :: Word8

Bounded Word16

Since: base-2.1

Defined in GHC.Word

Methods

minBound :: Word16

maxBound :: Word16

Bounded Word32

Since: base-2.1

Defined in GHC.Word

Methods

minBound :: Word32

maxBound :: Word32

Bounded Word64

Since: base-2.1

Defined in GHC.Word

Methods

minBound :: Word64

maxBound :: Word64

Bounded VecCount

Since: base-4.10.0.0

Defined in GHC.Enum

Methods

minBound :: VecCount

maxBound :: VecCount

Bounded VecElem

Since: base-4.10.0.0

Defined in GHC.Enum

Methods

minBound :: VecElem

maxBound :: VecElem

Bounded ()

Since: base-2.1

Defined in GHC.Enum

Methods

minBound :: ()

maxBound :: ()

Bounded All

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

minBound :: All

maxBound :: All

Bounded Any

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

minBound :: Any

maxBound :: Any

Bounded Associativity

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

minBound :: Associativity

maxBound :: Associativity

Bounded SourceUnpackedness

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

minBound :: SourceUnpackedness

maxBound :: SourceUnpackedness

Bounded SourceStrictness

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

minBound :: SourceStrictness

maxBound :: SourceStrictness

Bounded DecidedStrictness

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

minBound :: DecidedStrictness

maxBound :: DecidedStrictness

Bounded Undefined

Defined in Universum.Debug

Methods

minBound :: Undefined

maxBound :: Undefined

Bounded a => Bounded (Min a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

minBound :: Min a

maxBound :: Min a

Bounded a => Bounded (Max a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

minBound :: Max a

maxBound :: Max a

Bounded a => Bounded (First a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

minBound :: First a

maxBound :: First a

Bounded a => Bounded (Last a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

minBound :: Last a

maxBound :: Last a

Bounded m => Bounded (WrappedMonoid m)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

minBound :: WrappedMonoid m

maxBound :: WrappedMonoid m

Bounded a => Bounded (Identity a)

Since: base-4.9.0.0

Defined in Data.Functor.Identity

Methods

minBound :: Identity a

maxBound :: Identity a

Bounded a => Bounded (Dual a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

minBound :: Dual a

maxBound :: Dual a

Bounded a => Bounded (Sum a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

minBound :: Sum a

maxBound :: Sum a

Bounded a => Bounded (Product a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

minBound :: Product a

maxBound :: Product a

Bounded a => Bounded (Down a)

Since: base-4.14.0.0

Defined in Data.Ord

Methods

minBound :: Down a

maxBound :: Down a

(Bounded a, Bounded b) => Bounded (a, b)

Since: base-2.1

Defined in GHC.Enum

Methods

minBound :: (a, b)

maxBound :: (a, b)

Bounded (Proxy t)

Since: base-4.7.0.0

Defined in Data.Proxy

Methods

minBound :: Proxy t

maxBound :: Proxy t

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

Since: base-2.1

Defined in GHC.Enum

Methods

minBound :: (a, b, c)

maxBound :: (a, b, c)

Bounded a => Bounded (Const a b)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Methods

minBound :: Const a b

maxBound :: Const a b

(Applicative f, Bounded a) => Bounded (Ap f a)

Since: base-4.12.0.0

Defined in Data.Monoid

Methods

minBound :: Ap f a

maxBound :: Ap f a

Bounded b => Bounded (Tagged s b)

Defined in Data.Tagged

Methods

minBound :: Tagged s b

maxBound :: Tagged s b

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

Since: base-2.1

Defined in GHC.Enum

Methods

minBound :: (a, b, c, d)

maxBound :: (a, b, c, d)

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

Since: base-2.1

Defined in GHC.Enum

Methods

minBound :: (a, b, c, d, e)

maxBound :: (a, b, c, d, e)

(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f) => Bounded (a, b, c, d, e, f)

Since: base-2.1

Defined in GHC.Enum

Methods

minBound :: (a, b, c, d, e, f)

maxBound :: (a, b, c, d, e, f)

(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g) => Bounded (a, b, c, d, e, f, g)

Since: base-2.1

Defined in GHC.Enum

Methods

minBound :: (a, b, c, d, e, f, g)

maxBound :: (a, b, c, d, e, f, g)

(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h) => Bounded (a, b, c, d, e, f, g, h)

Since: base-2.1

Defined in GHC.Enum

Methods

minBound :: (a, b, c, d, e, f, g, h)

maxBound :: (a, b, c, d, e, f, g, h)

(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i) => Bounded (a, b, c, d, e, f, g, h, i)

Since: base-2.1

Defined in GHC.Enum

Methods

minBound :: (a, b, c, d, e, f, g, h, i)

maxBound :: (a, b, c, d, e, f, g, h, i)

(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j) => Bounded (a, b, c, d, e, f, g, h, i, j)

Since: base-2.1

Defined in GHC.Enum

Methods

minBound :: (a, b, c, d, e, f, g, h, i, j)

maxBound :: (a, b, c, d, e, f, g, h, i, j)

(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k) => Bounded (a, b, c, d, e, f, g, h, i, j, k)

Since: base-2.1

Defined in GHC.Enum

Methods

minBound :: (a, b, c, d, e, f, g, h, i, j, k)

maxBound :: (a, b, c, d, e, f, g, h, i, j, k)

(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k, Bounded l) => Bounded (a, b, c, d, e, f, g, h, i, j, k, l)

Since: base-2.1

Defined in GHC.Enum

Methods

minBound :: (a, b, c, d, e, f, g, h, i, j, k, l)

maxBound :: (a, b, c, d, e, f, g, h, i, j, k, l)

(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k, Bounded l, Bounded m) => Bounded (a, b, c, d, e, f, g, h, i, j, k, l, m)

Since: base-2.1

Defined in GHC.Enum

Methods

minBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m)

maxBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m)

(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k, Bounded l, Bounded m, Bounded n) => Bounded (a, b, c, d, e, f, g, h, i, j, k, l, m, n)

Since: base-2.1

Defined in GHC.Enum

Methods

minBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n)

maxBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n)

(Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k, Bounded l, Bounded m, Bounded n, Bounded o) => Bounded (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)

Since: base-2.1

Defined in GHC.Enum

Methods

minBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)

maxBound :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)

class Enum a where

Class Enum defines operations on sequentially ordered types.

The enumFrom... methods are used in Haskell's translation of arithmetic sequences.

Instances of Enum may be derived for any enumeration type (types whose constructors have no fields). The nullary constructors are assumed to be numbered left-to-right by fromEnum from 0 through n-1. See Chapter 10 of the Haskell Report for more details.

For any type that is an instance of class Bounded as well as Enum, the following should hold:

• The calls succ maxBound and pred minBound should result in a runtime error.
• fromEnum and toEnum should give a runtime error if the result value is not representable in the result type. For example, toEnum 7 :: Bool is an error.
• enumFrom and enumFromThen should be defined with an implicit bound, thus:

   enumFrom     x   = enumFromTo     x maxBound
   enumFromThen x y = enumFromThenTo x y bound
     where
       bound | fromEnum y >= fromEnum x = maxBound
             | otherwise                = minBound

Minimal complete definition

toEnum, fromEnum

Methods

succ :: a -> a

the successor of a value. For numeric types, succ adds 1.

pred :: a -> a

the predecessor of a value. For numeric types, pred subtracts 1.

toEnum :: Int -> a

Convert from an Int.

fromEnum :: a -> Int

Convert to an Int. It is implementation-dependent what fromEnum returns when applied to a value that is too large to fit in an Int.

enumFrom :: a -> [a]

Used in Haskell's translation of [n..] with [n..] = enumFrom n, a possible implementation being enumFrom n = n : enumFrom (succ n). For example:

• enumFrom 4 :: [Integer] = [4,5,6,7,...]

• enumFrom 6 :: [Int] = [6,7,8,9,...,maxBound :: Int]

enumFromThen :: a -> a -> [a]

Used in Haskell's translation of [n,n'..] with [n,n'..] = enumFromThen n n', a possible implementation being enumFromThen n n' = n : n' : worker (f x) (f x n'), worker s v = v : worker s (s v), x = fromEnum n' - fromEnum n and f n y | n > 0 = f (n - 1) (succ y) | n < 0 = f (n + 1) (pred y) | otherwise = y For example:

• enumFromThen 4 6 :: [Integer] = [4,6,8,10...]

• enumFromThen 6 2 :: [Int] = [6,2,-2,-6,...,minBound :: Int]

enumFromTo :: a -> a -> [a]

Used in Haskell's translation of [n..m] with [n..m] = enumFromTo n m, a possible implementation being enumFromTo n m | n <= m = n : enumFromTo (succ n) m | otherwise = []. For example:

• enumFromTo 6 10 :: [Int] = [6,7,8,9,10]

• enumFromTo 42 1 :: [Integer] = []

enumFromThenTo :: a -> a -> a -> [a]

Used in Haskell's translation of [n,n'..m] with [n,n'..m] = enumFromThenTo n n' m, a possible implementation being enumFromThenTo n n' m = worker (f x) (c x) n m, x = fromEnum n' - fromEnum n, c x = bool (>=) ((x 0) f n y | n > 0 = f (n - 1) (succ y) | n < 0 = f (n + 1) (pred y) | otherwise = y and worker s c v m | c v m = v : worker s c (s v) m | otherwise = [] For example:

• enumFromThenTo 4 2 -6 :: [Integer] = [4,2,0,-2,-4,-6]

• enumFromThenTo 6 8 2 :: [Int] = []

Instances

Enum Bool

Since: base-2.1

Defined in GHC.Enum

Methods

succ :: Bool -> Bool

pred :: Bool -> Bool

toEnum :: Int -> Bool

fromEnum :: Bool -> Int

enumFrom :: Bool -> [Bool]

enumFromThen :: Bool -> Bool -> [Bool]

enumFromTo :: Bool -> Bool -> [Bool]

enumFromThenTo :: Bool -> Bool -> Bool -> [Bool]

Enum Char

Since: base-2.1

Defined in GHC.Enum

Methods

succ :: Char -> Char

pred :: Char -> Char

toEnum :: Int -> Char

fromEnum :: Char -> Int

enumFrom :: Char -> [Char]

enumFromThen :: Char -> Char -> [Char]

enumFromTo :: Char -> Char -> [Char]

enumFromThenTo :: Char -> Char -> Char -> [Char]

Enum Int

Since: base-2.1

Defined in GHC.Enum

Methods

succ :: Int -> Int

pred :: Int -> Int

toEnum :: Int -> Int

fromEnum :: Int -> Int

enumFrom :: Int -> [Int]

enumFromThen :: Int -> Int -> [Int]

enumFromTo :: Int -> Int -> [Int]

enumFromThenTo :: Int -> Int -> Int -> [Int]

Enum Int8

Since: base-2.1

Defined in GHC.Int

Methods

succ :: Int8 -> Int8

pred :: Int8 -> Int8

toEnum :: Int -> Int8

fromEnum :: Int8 -> Int

enumFrom :: Int8 -> [Int8]

enumFromThen :: Int8 -> Int8 -> [Int8]

enumFromTo :: Int8 -> Int8 -> [Int8]

enumFromThenTo :: Int8 -> Int8 -> Int8 -> [Int8]

Enum Int16

Since: base-2.1

Defined in GHC.Int

Methods

succ :: Int16 -> Int16

pred :: Int16 -> Int16

toEnum :: Int -> Int16

fromEnum :: Int16 -> Int

enumFrom :: Int16 -> [Int16]

enumFromThen :: Int16 -> Int16 -> [Int16]

enumFromTo :: Int16 -> Int16 -> [Int16]

enumFromThenTo :: Int16 -> Int16 -> Int16 -> [Int16]

Enum Int32

Since: base-2.1

Defined in GHC.Int

Methods

succ :: Int32 -> Int32

pred :: Int32 -> Int32

toEnum :: Int -> Int32

fromEnum :: Int32 -> Int

enumFrom :: Int32 -> [Int32]

enumFromThen :: Int32 -> Int32 -> [Int32]

enumFromTo :: Int32 -> Int32 -> [Int32]

enumFromThenTo :: Int32 -> Int32 -> Int32 -> [Int32]

Enum Int64

Since: base-2.1

Defined in GHC.Int

Methods

succ :: Int64 -> Int64

pred :: Int64 -> Int64

toEnum :: Int -> Int64

fromEnum :: Int64 -> Int

enumFrom :: Int64 -> [Int64]

enumFromThen :: Int64 -> Int64 -> [Int64]

enumFromTo :: Int64 -> Int64 -> [Int64]

enumFromThenTo :: Int64 -> Int64 -> Int64 -> [Int64]

Enum Integer

Since: base-2.1

Defined in GHC.Enum

Methods

succ :: Integer -> Integer

pred :: Integer -> Integer

toEnum :: Int -> Integer

fromEnum :: Integer -> Int

enumFrom :: Integer -> [Integer]

enumFromThen :: Integer -> Integer -> [Integer]

enumFromTo :: Integer -> Integer -> [Integer]

enumFromThenTo :: Integer -> Integer -> Integer -> [Integer]

Enum Natural

Since: base-4.8.0.0

Defined in GHC.Enum

Methods

succ :: Natural -> Natural

pred :: Natural -> Natural

toEnum :: Int -> Natural

fromEnum :: Natural -> Int

enumFrom :: Natural -> [Natural]

enumFromThen :: Natural -> Natural -> [Natural]

enumFromTo :: Natural -> Natural -> [Natural]

enumFromThenTo :: Natural -> Natural -> Natural -> [Natural]

Enum Ordering

Since: base-2.1

Defined in GHC.Enum

Methods

succ :: Ordering -> Ordering

pred :: Ordering -> Ordering

toEnum :: Int -> Ordering

fromEnum :: Ordering -> Int

enumFrom :: Ordering -> [Ordering]

enumFromThen :: Ordering -> Ordering -> [Ordering]

enumFromTo :: Ordering -> Ordering -> [Ordering]

enumFromThenTo :: Ordering -> Ordering -> Ordering -> [Ordering]

Enum Word

Since: base-2.1

Defined in GHC.Enum

Methods

succ :: Word -> Word

pred :: Word -> Word

toEnum :: Int -> Word

fromEnum :: Word -> Int

enumFrom :: Word -> [Word]

enumFromThen :: Word -> Word -> [Word]

enumFromTo :: Word -> Word -> [Word]

enumFromThenTo :: Word -> Word -> Word -> [Word]

Enum Word8

Since: base-2.1

Defined in GHC.Word

Methods

succ :: Word8 -> Word8

pred :: Word8 -> Word8

toEnum :: Int -> Word8

fromEnum :: Word8 -> Int

enumFrom :: Word8 -> [Word8]

enumFromThen :: Word8 -> Word8 -> [Word8]

enumFromTo :: Word8 -> Word8 -> [Word8]

enumFromThenTo :: Word8 -> Word8 -> Word8 -> [Word8]

Enum Word16

Since: base-2.1

Defined in GHC.Word

Methods

succ :: Word16 -> Word16

pred :: Word16 -> Word16

toEnum :: Int -> Word16

fromEnum :: Word16 -> Int

enumFrom :: Word16 -> [Word16]

enumFromThen :: Word16 -> Word16 -> [Word16]

enumFromTo :: Word16 -> Word16 -> [Word16]

enumFromThenTo :: Word16 -> Word16 -> Word16 -> [Word16]

Enum Word32

Since: base-2.1

Defined in GHC.Word

Methods

succ :: Word32 -> Word32

pred :: Word32 -> Word32

toEnum :: Int -> Word32

fromEnum :: Word32 -> Int

enumFrom :: Word32 -> [Word32]

enumFromThen :: Word32 -> Word32 -> [Word32]

enumFromTo :: Word32 -> Word32 -> [Word32]

enumFromThenTo :: Word32 -> Word32 -> Word32 -> [Word32]

Enum Word64

Since: base-2.1

Defined in GHC.Word

Methods

succ :: Word64 -> Word64

pred :: Word64 -> Word64

toEnum :: Int -> Word64

fromEnum :: Word64 -> Int

enumFrom :: Word64 -> [Word64]

enumFromThen :: Word64 -> Word64 -> [Word64]

enumFromTo :: Word64 -> Word64 -> [Word64]

enumFromThenTo :: Word64 -> Word64 -> Word64 -> [Word64]

Enum VecCount

Since: base-4.10.0.0

Defined in GHC.Enum

Methods

succ :: VecCount -> VecCount

pred :: VecCount -> VecCount

toEnum :: Int -> VecCount

fromEnum :: VecCount -> Int

enumFrom :: VecCount -> [VecCount]

enumFromThen :: VecCount -> VecCount -> [VecCount]

enumFromTo :: VecCount -> VecCount -> [VecCount]

enumFromThenTo :: VecCount -> VecCount -> VecCount -> [VecCount]

Enum VecElem

Since: base-4.10.0.0

Defined in GHC.Enum

Methods

succ :: VecElem -> VecElem

pred :: VecElem -> VecElem

toEnum :: Int -> VecElem

fromEnum :: VecElem -> Int

enumFrom :: VecElem -> [VecElem]

enumFromThen :: VecElem -> VecElem -> [VecElem]

enumFromTo :: VecElem -> VecElem -> [VecElem]

enumFromThenTo :: VecElem -> VecElem -> VecElem -> [VecElem]

Enum ()

Since: base-2.1

Defined in GHC.Enum

Methods

succ :: () -> ()

pred :: () -> ()

toEnum :: Int -> ()

fromEnum :: () -> Int

enumFrom :: () -> [()]

enumFromThen :: () -> () -> [()]

enumFromTo :: () -> () -> [()]

enumFromThenTo :: () -> () -> () -> [()]

Enum Associativity

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

succ :: Associativity -> Associativity

pred :: Associativity -> Associativity

toEnum :: Int -> Associativity

fromEnum :: Associativity -> Int

enumFrom :: Associativity -> [Associativity]

enumFromThen :: Associativity -> Associativity -> [Associativity]

enumFromTo :: Associativity -> Associativity -> [Associativity]

enumFromThenTo :: Associativity -> Associativity -> Associativity -> [Associativity]

Enum SourceUnpackedness

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

succ :: SourceUnpackedness -> SourceUnpackedness

pred :: SourceUnpackedness -> SourceUnpackedness

toEnum :: Int -> SourceUnpackedness

fromEnum :: SourceUnpackedness -> Int

enumFrom :: SourceUnpackedness -> [SourceUnpackedness]

enumFromThen :: SourceUnpackedness -> SourceUnpackedness -> [SourceUnpackedness]

enumFromTo :: SourceUnpackedness -> SourceUnpackedness -> [SourceUnpackedness]

enumFromThenTo :: SourceUnpackedness -> SourceUnpackedness -> SourceUnpackedness -> [SourceUnpackedness]

Enum SourceStrictness

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

succ :: SourceStrictness -> SourceStrictness

pred :: SourceStrictness -> SourceStrictness

toEnum :: Int -> SourceStrictness

fromEnum :: SourceStrictness -> Int

enumFrom :: SourceStrictness -> [SourceStrictness]

enumFromThen :: SourceStrictness -> SourceStrictness -> [SourceStrictness]

enumFromTo :: SourceStrictness -> SourceStrictness -> [SourceStrictness]

enumFromThenTo :: SourceStrictness -> SourceStrictness -> SourceStrictness -> [SourceStrictness]

Enum DecidedStrictness

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

succ :: DecidedStrictness -> DecidedStrictness

pred :: DecidedStrictness -> DecidedStrictness

toEnum :: Int -> DecidedStrictness

fromEnum :: DecidedStrictness -> Int

enumFrom :: DecidedStrictness -> [DecidedStrictness]

enumFromThen :: DecidedStrictness -> DecidedStrictness -> [DecidedStrictness]

enumFromTo :: DecidedStrictness -> DecidedStrictness -> [DecidedStrictness]

enumFromThenTo :: DecidedStrictness -> DecidedStrictness -> DecidedStrictness -> [DecidedStrictness]

Enum IOMode

Since: base-4.2.0.0

Defined in GHC.IO.IOMode

Methods

succ :: IOMode -> IOMode

pred :: IOMode -> IOMode

toEnum :: Int -> IOMode

fromEnum :: IOMode -> Int

enumFrom :: IOMode -> [IOMode]

enumFromThen :: IOMode -> IOMode -> [IOMode]

enumFromTo :: IOMode -> IOMode -> [IOMode]

enumFromThenTo :: IOMode -> IOMode -> IOMode -> [IOMode]

Enum Undefined

Defined in Universum.Debug

Methods

succ :: Undefined -> Undefined

pred :: Undefined -> Undefined

toEnum :: Int -> Undefined

fromEnum :: Undefined -> Int

enumFrom :: Undefined -> [Undefined]

enumFromThen :: Undefined -> Undefined -> [Undefined]

enumFromTo :: Undefined -> Undefined -> [Undefined]

enumFromThenTo :: Undefined -> Undefined -> Undefined -> [Undefined]

Integral a => Enum (Ratio a)

Since: base-2.0.1

Defined in GHC.Real

Methods

succ :: Ratio a -> Ratio a

pred :: Ratio a -> Ratio a

toEnum :: Int -> Ratio a

fromEnum :: Ratio a -> Int

enumFrom :: Ratio a -> [Ratio a]

enumFromThen :: Ratio a -> Ratio a -> [Ratio a]

enumFromTo :: Ratio a -> Ratio a -> [Ratio a]

enumFromThenTo :: Ratio a -> Ratio a -> Ratio a -> [Ratio a]

Enum a => Enum (Min a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

succ :: Min a -> Min a

pred :: Min a -> Min a

toEnum :: Int -> Min a

fromEnum :: Min a -> Int

enumFrom :: Min a -> [Min a]

enumFromThen :: Min a -> Min a -> [Min a]

enumFromTo :: Min a -> Min a -> [Min a]

enumFromThenTo :: Min a -> Min a -> Min a -> [Min a]

Enum a => Enum (Max a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

succ :: Max a -> Max a

pred :: Max a -> Max a

toEnum :: Int -> Max a

fromEnum :: Max a -> Int

enumFrom :: Max a -> [Max a]

enumFromThen :: Max a -> Max a -> [Max a]

enumFromTo :: Max a -> Max a -> [Max a]

enumFromThenTo :: Max a -> Max a -> Max a -> [Max a]

Enum a => Enum (First a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

succ :: First a -> First a

pred :: First a -> First a

toEnum :: Int -> First a

fromEnum :: First a -> Int

enumFrom :: First a -> [First a]

enumFromThen :: First a -> First a -> [First a]

enumFromTo :: First a -> First a -> [First a]

enumFromThenTo :: First a -> First a -> First a -> [First a]

Enum a => Enum (Last a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

succ :: Last a -> Last a

pred :: Last a -> Last a

toEnum :: Int -> Last a

fromEnum :: Last a -> Int

enumFrom :: Last a -> [Last a]

enumFromThen :: Last a -> Last a -> [Last a]

enumFromTo :: Last a -> Last a -> [Last a]

enumFromThenTo :: Last a -> Last a -> Last a -> [Last a]

Enum a => Enum (WrappedMonoid a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

succ :: WrappedMonoid a -> WrappedMonoid a

pred :: WrappedMonoid a -> WrappedMonoid a

toEnum :: Int -> WrappedMonoid a

fromEnum :: WrappedMonoid a -> Int

enumFrom :: WrappedMonoid a -> [WrappedMonoid a]

enumFromThen :: WrappedMonoid a -> WrappedMonoid a -> [WrappedMonoid a]

enumFromTo :: WrappedMonoid a -> WrappedMonoid a -> [WrappedMonoid a]

enumFromThenTo :: WrappedMonoid a -> WrappedMonoid a -> WrappedMonoid a -> [WrappedMonoid a]

Enum a => Enum (Identity a)

Since: base-4.9.0.0

Defined in Data.Functor.Identity

Methods

succ :: Identity a -> Identity a

pred :: Identity a -> Identity a

toEnum :: Int -> Identity a

fromEnum :: Identity a -> Int

enumFrom :: Identity a -> [Identity a]

enumFromThen :: Identity a -> Identity a -> [Identity a]

enumFromTo :: Identity a -> Identity a -> [Identity a]

enumFromThenTo :: Identity a -> Identity a -> Identity a -> [Identity a]

Enum a => Enum (Down a)

Since: base-4.14.0.0

Defined in Data.Ord

Methods

succ :: Down a -> Down a

pred :: Down a -> Down a

toEnum :: Int -> Down a

fromEnum :: Down a -> Int

enumFrom :: Down a -> [Down a]

enumFromThen :: Down a -> Down a -> [Down a]

enumFromTo :: Down a -> Down a -> [Down a]

enumFromThenTo :: Down a -> Down a -> Down a -> [Down a]

Enum (Proxy s)

Since: base-4.7.0.0

Defined in Data.Proxy

Methods

succ :: Proxy s -> Proxy s

pred :: Proxy s -> Proxy s

toEnum :: Int -> Proxy s

fromEnum :: Proxy s -> Int

enumFrom :: Proxy s -> [Proxy s]

enumFromThen :: Proxy s -> Proxy s -> [Proxy s]

enumFromTo :: Proxy s -> Proxy s -> [Proxy s]

enumFromThenTo :: Proxy s -> Proxy s -> Proxy s -> [Proxy s]

Enum a => Enum (Const a b)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Methods

succ :: Const a b -> Const a b

pred :: Const a b -> Const a b

toEnum :: Int -> Const a b

fromEnum :: Const a b -> Int

enumFrom :: Const a b -> [Const a b]

enumFromThen :: Const a b -> Const a b -> [Const a b]

enumFromTo :: Const a b -> Const a b -> [Const a b]

enumFromThenTo :: Const a b -> Const a b -> Const a b -> [Const a b]

Enum (f a) => Enum (Ap f a)

Since: base-4.12.0.0

Defined in Data.Monoid

Methods

succ :: Ap f a -> Ap f a

pred :: Ap f a -> Ap f a

toEnum :: Int -> Ap f a

fromEnum :: Ap f a -> Int

enumFrom :: Ap f a -> [Ap f a]

enumFromThen :: Ap f a -> Ap f a -> [Ap f a]

enumFromTo :: Ap f a -> Ap f a -> [Ap f a]

enumFromThenTo :: Ap f a -> Ap f a -> Ap f a -> [Ap f a]

Enum (f a) => Enum (Alt f a)

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

succ :: Alt f a -> Alt f a

pred :: Alt f a -> Alt f a

toEnum :: Int -> Alt f a

fromEnum :: Alt f a -> Int

enumFrom :: Alt f a -> [Alt f a]

enumFromThen :: Alt f a -> Alt f a -> [Alt f a]

enumFromTo :: Alt f a -> Alt f a -> [Alt f a]

enumFromThenTo :: Alt f a -> Alt f a -> Alt f a -> [Alt f a]

Enum a => Enum (Tagged s a)

Defined in Data.Tagged

Methods

succ :: Tagged s a -> Tagged s a

pred :: Tagged s a -> Tagged s a

toEnum :: Int -> Tagged s a

fromEnum :: Tagged s a -> Int

enumFrom :: Tagged s a -> [Tagged s a]

enumFromThen :: Tagged s a -> Tagged s a -> [Tagged s a]

enumFromTo :: Tagged s a -> Tagged s a -> [Tagged s a]

enumFromThenTo :: Tagged s a -> Tagged s a -> Tagged s a -> [Tagged s a]

class Eq a where

The Eq class defines equality (==) and inequality (/=). All the basic datatypes exported by the Prelude are instances of Eq, and Eq may be derived for any datatype whose constituents are also instances of Eq.

The Haskell Report defines no laws for Eq. However, == is customarily expected to implement an equivalence relationship where two values comparing equal are indistinguishable by "public" functions, with a "public" function being one not allowing to see implementation details. For example, for a type representing non-normalised natural numbers modulo 100, a "public" function doesn't make the difference between 1 and 201. It is expected to have the following properties:

Reflexivity

x == x = True

Symmetry

x == y = y == x

Transitivity

if x == y && y == z = True, then x == z = True

Substitutivity

if x == y = True and f is a "public" function whose return type is an instance of Eq, then f x == f y = True

Negation

x /= y = not (x == y)

Minimal complete definition: either == or /=.

Minimal complete definition

(==) | (/=)

Methods

(==) :: a -> a -> Bool infix 4

(/=) :: a -> a -> Bool infix 4

Instances

Eq Bool

Defined in GHC.Classes

Methods

(==) :: Bool -> Bool -> Bool

(/=) :: Bool -> Bool -> Bool

Eq Char

Defined in GHC.Classes

Methods

(==) :: Char -> Char -> Bool

(/=) :: Char -> Char -> Bool

Eq Double

Note that due to the presence of NaN, Double's Eq instance does not satisfy reflexivity.

>>> 0/0 == (0/0 :: Double)
False

Also note that Double's Eq instance does not satisfy substitutivity:

>>> 0 == (-0 :: Double)
True
>>> recip 0 == recip (-0 :: Double)
False

Defined in GHC.Classes

Methods

(==) :: Double -> Double -> Bool

(/=) :: Double -> Double -> Bool

Eq Float

Note that due to the presence of NaN, Float's Eq instance does not satisfy reflexivity.

>>> 0/0 == (0/0 :: Float)
False

Also note that Float's Eq instance does not satisfy substitutivity:

>>> 0 == (-0 :: Float)
True
>>> recip 0 == recip (-0 :: Float)
False

Defined in GHC.Classes

Methods

(==) :: Float -> Float -> Bool

(/=) :: Float -> Float -> Bool

Eq Int

Defined in GHC.Classes

Methods

(==) :: Int -> Int -> Bool

(/=) :: Int -> Int -> Bool

Eq Int8

Since: base-2.1

Defined in GHC.Int

Methods

(==) :: Int8 -> Int8 -> Bool

(/=) :: Int8 -> Int8 -> Bool

Eq Int16

Since: base-2.1

Defined in GHC.Int

Methods

(==) :: Int16 -> Int16 -> Bool

(/=) :: Int16 -> Int16 -> Bool

Eq Int32

Since: base-2.1

Defined in GHC.Int

Methods

(==) :: Int32 -> Int32 -> Bool

(/=) :: Int32 -> Int32 -> Bool

Eq Int64

Since: base-2.1

Defined in GHC.Int

Methods

(==) :: Int64 -> Int64 -> Bool

(/=) :: Int64 -> Int64 -> Bool

Eq Integer

Defined in GHC.Integer.Type

Methods

(==) :: Integer -> Integer -> Bool

(/=) :: Integer -> Integer -> Bool

Eq Natural

Since: base-4.8.0.0

Defined in GHC.Natural

Methods

(==) :: Natural -> Natural -> Bool

(/=) :: Natural -> Natural -> Bool

Eq Ordering

Defined in GHC.Classes

Methods

(==) :: Ordering -> Ordering -> Bool

(/=) :: Ordering -> Ordering -> Bool

Eq Word

Defined in GHC.Classes

Methods

(==) :: Word -> Word -> Bool

(/=) :: Word -> Word -> Bool

Eq Word8

Since: base-2.1

Defined in GHC.Word

Methods

(==) :: Word8 -> Word8 -> Bool

(/=) :: Word8 -> Word8 -> Bool

Eq Word16

Since: base-2.1

Defined in GHC.Word

Methods

(==) :: Word16 -> Word16 -> Bool

(/=) :: Word16 -> Word16 -> Bool

Eq Word32

Since: base-2.1

Defined in GHC.Word

Methods

(==) :: Word32 -> Word32 -> Bool

(/=) :: Word32 -> Word32 -> Bool

Eq Word64

Since: base-2.1

Defined in GHC.Word

Methods

(==) :: Word64 -> Word64 -> Bool

(/=) :: Word64 -> Word64 -> Bool

Eq SomeTypeRep

Defined in Data.Typeable.Internal

Methods

(==) :: SomeTypeRep -> SomeTypeRep -> Bool

(/=) :: SomeTypeRep -> SomeTypeRep -> Bool

Eq ()

Defined in GHC.Classes

Methods

(==) :: () -> () -> Bool

(/=) :: () -> () -> Bool

Eq TyCon

Defined in GHC.Classes

Methods

(==) :: TyCon -> TyCon -> Bool

(/=) :: TyCon -> TyCon -> Bool

Eq Module

Defined in GHC.Classes

Methods

(==) :: Module -> Module -> Bool

(/=) :: Module -> Module -> Bool

Eq TrName

Defined in GHC.Classes

Methods

(==) :: TrName -> TrName -> Bool

(/=) :: TrName -> TrName -> Bool

Eq Handle

Since: base-4.1.0.0

Defined in GHC.IO.Handle.Types

Methods

(==) :: Handle -> Handle -> Bool

(/=) :: Handle -> Handle -> Bool

Eq Void

Since: base-4.8.0.0

Defined in Data.Void

Methods

(==) :: Void -> Void -> Bool

(/=) :: Void -> Void -> Bool

Eq SpecConstrAnnotation

Since: base-4.3.0.0

Defined in GHC.Exts

Methods

(==) :: SpecConstrAnnotation -> SpecConstrAnnotation -> Bool

(/=) :: SpecConstrAnnotation -> SpecConstrAnnotation -> Bool

Eq Version

Since: base-2.1

Defined in Data.Version

Methods

(==) :: Version -> Version -> Bool

(/=) :: Version -> Version -> Bool

Eq ThreadId

Since: base-4.2.0.0

Defined in GHC.Conc.Sync

Methods

(==) :: ThreadId -> ThreadId -> Bool

(/=) :: ThreadId -> ThreadId -> Bool

Eq BlockReason

Since: base-4.3.0.0

Defined in GHC.Conc.Sync

Methods

(==) :: BlockReason -> BlockReason -> Bool

(/=) :: BlockReason -> BlockReason -> Bool

Eq ThreadStatus

Since: base-4.3.0.0

Defined in GHC.Conc.Sync

Methods

(==) :: ThreadStatus -> ThreadStatus -> Bool

(/=) :: ThreadStatus -> ThreadStatus -> Bool

Eq AsyncException

Since: base-4.2.0.0

Defined in GHC.IO.Exception

Methods

(==) :: AsyncException -> AsyncException -> Bool

(/=) :: AsyncException -> AsyncException -> Bool

Eq ArrayException

Since: base-4.2.0.0

Defined in GHC.IO.Exception

Methods

(==) :: ArrayException -> ArrayException -> Bool

(/=) :: ArrayException -> ArrayException -> Bool

Eq ExitCode

Defined in GHC.IO.Exception

Methods

(==) :: ExitCode -> ExitCode -> Bool

(/=) :: ExitCode -> ExitCode -> Bool

Eq IOErrorType

Since: base-4.1.0.0

Defined in GHC.IO.Exception

Methods

(==) :: IOErrorType -> IOErrorType -> Bool

(/=) :: IOErrorType -> IOErrorType -> Bool

Eq BufferMode

Since: base-4.2.0.0

Defined in GHC.IO.Handle.Types

Methods

(==) :: BufferMode -> BufferMode -> Bool

(/=) :: BufferMode -> BufferMode -> Bool

Eq Newline

Since: base-4.2.0.0

Defined in GHC.IO.Handle.Types

Methods

(==) :: Newline -> Newline -> Bool

(/=) :: Newline -> Newline -> Bool

Eq NewlineMode

Since: base-4.2.0.0

Defined in GHC.IO.Handle.Types

Methods

(==) :: NewlineMode -> NewlineMode -> Bool

(/=) :: NewlineMode -> NewlineMode -> Bool

Eq MaskingState

Since: base-4.3.0.0

Defined in GHC.IO

Methods

(==) :: MaskingState -> MaskingState -> Bool

(/=) :: MaskingState -> MaskingState -> Bool

Eq IOException

Since: base-4.1.0.0

Defined in GHC.IO.Exception

Methods

(==) :: IOException -> IOException -> Bool

(/=) :: IOException -> IOException -> Bool

Eq ErrorCall

Since: base-4.7.0.0

Defined in GHC.Exception

Methods

(==) :: ErrorCall -> ErrorCall -> Bool

(/=) :: ErrorCall -> ErrorCall -> Bool

Eq ArithException

Since: base-3.0

Defined in GHC.Exception.Type

Methods

(==) :: ArithException -> ArithException -> Bool

(/=) :: ArithException -> ArithException -> Bool

Eq All

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

(==) :: All -> All -> Bool

(/=) :: All -> All -> Bool

Eq Any

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

(==) :: Any -> Any -> Bool

(/=) :: Any -> Any -> Bool

Eq Fixity

Since: base-4.6.0.0

Defined in GHC.Generics

Methods

(==) :: Fixity -> Fixity -> Bool

(/=) :: Fixity -> Fixity -> Bool

Eq Associativity

Since: base-4.6.0.0

Defined in GHC.Generics

Methods

(==) :: Associativity -> Associativity -> Bool

(/=) :: Associativity -> Associativity -> Bool

Eq SourceUnpackedness

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

(==) :: SourceUnpackedness -> SourceUnpackedness -> Bool

(/=) :: SourceUnpackedness -> SourceUnpackedness -> Bool

Eq SourceStrictness

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

(==) :: SourceStrictness -> SourceStrictness -> Bool

(/=) :: SourceStrictness -> SourceStrictness -> Bool

Eq DecidedStrictness

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

(==) :: DecidedStrictness -> DecidedStrictness -> Bool

(/=) :: DecidedStrictness -> DecidedStrictness -> Bool

Eq SomeNat

Since: base-4.7.0.0

Defined in GHC.TypeNats

Methods

(==) :: SomeNat -> SomeNat -> Bool

(/=) :: SomeNat -> SomeNat -> Bool

Eq IOMode

Since: base-4.2.0.0

Defined in GHC.IO.IOMode

Methods

(==) :: IOMode -> IOMode -> Bool

(/=) :: IOMode -> IOMode -> Bool

Eq SrcLoc

Since: base-4.9.0.0

Defined in GHC.Stack.Types

Methods

(==) :: SrcLoc -> SrcLoc -> Bool

(/=) :: SrcLoc -> SrcLoc -> Bool

Eq ByteString

Defined in Data.ByteString.Internal

Methods

(==) :: ByteString -> ByteString -> Bool

(/=) :: ByteString -> ByteString -> Bool

Eq IntSet

Defined in Data.IntSet.Internal

Methods

(==) :: IntSet -> IntSet -> Bool

(/=) :: IntSet -> IntSet -> Bool

Eq BigNat

Defined in GHC.Integer.Type

Methods

(==) :: BigNat -> BigNat -> Bool

(/=) :: BigNat -> BigNat -> Bool

Eq Doc

Defined in Text.PrettyPrint.HughesPJ

Methods

(==) :: Doc -> Doc -> Bool

(/=) :: Doc -> Doc -> Bool

Eq TextDetails

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

(==) :: TextDetails -> TextDetails -> Bool

(/=) :: TextDetails -> TextDetails -> Bool

Eq Style

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

(==) :: Style -> Style -> Bool

(/=) :: Style -> Style -> Bool

Eq Mode

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

(==) :: Mode -> Mode -> Bool

(/=) :: Mode -> Mode -> Bool

Eq UnicodeException

Defined in Data.Text.Encoding.Error

Methods

(==) :: UnicodeException -> UnicodeException -> Bool

(/=) :: UnicodeException -> UnicodeException -> Bool

Eq DatatypeInfo

Defined in Language.Haskell.TH.Datatype

Methods

(==) :: DatatypeInfo -> DatatypeInfo -> Bool

(/=) :: DatatypeInfo -> DatatypeInfo -> Bool

Eq DatatypeVariant

Defined in Language.Haskell.TH.Datatype

Methods

(==) :: DatatypeVariant -> DatatypeVariant -> Bool

(/=) :: DatatypeVariant -> DatatypeVariant -> Bool

Eq ConstructorInfo

Defined in Language.Haskell.TH.Datatype

Methods

(==) :: ConstructorInfo -> ConstructorInfo -> Bool

(/=) :: ConstructorInfo -> ConstructorInfo -> Bool

Eq ConstructorVariant

Defined in Language.Haskell.TH.Datatype

Methods

(==) :: ConstructorVariant -> ConstructorVariant -> Bool

(/=) :: ConstructorVariant -> ConstructorVariant -> Bool

Eq FieldStrictness

Defined in Language.Haskell.TH.Datatype

Methods

(==) :: FieldStrictness -> FieldStrictness -> Bool

(/=) :: FieldStrictness -> FieldStrictness -> Bool

Eq Unpackedness

Defined in Language.Haskell.TH.Datatype

Methods

(==) :: Unpackedness -> Unpackedness -> Bool

(/=) :: Unpackedness -> Unpackedness -> Bool

Eq Strictness

Defined in Language.Haskell.TH.Datatype

Methods

(==) :: Strictness -> Strictness -> Bool

(/=) :: Strictness -> Strictness -> Bool

Eq Specificity

Defined in Language.Haskell.TH.Datatype.TyVarBndr

Methods

(==) :: Specificity -> Specificity -> Bool

(/=) :: Specificity -> Specificity -> Bool

Eq Undefined

Defined in Universum.Debug

Methods

(==) :: Undefined -> Undefined -> Bool

(/=) :: Undefined -> Undefined -> Bool

Eq CodePoint

Defined in Data.Text.Encoding

Methods

(==) :: CodePoint -> CodePoint -> Bool

(/=) :: CodePoint -> CodePoint -> Bool

Eq DecoderState

Defined in Data.Text.Encoding

Methods

(==) :: DecoderState -> DecoderState -> Bool

(/=) :: DecoderState -> DecoderState -> Bool

Eq a => Eq [a]

Defined in GHC.Classes

Methods

(==) :: [a] -> [a] -> Bool

(/=) :: [a] -> [a] -> Bool

Eq a => Eq (Maybe a)

Since: base-2.1

Defined in GHC.Maybe

Methods

(==) :: Maybe a -> Maybe a -> Bool

(/=) :: Maybe a -> Maybe a -> Bool

Eq a => Eq (Ratio a)

Since: base-2.1

Defined in GHC.Real

Methods

(==) :: Ratio a -> Ratio a -> Bool

(/=) :: Ratio a -> Ratio a -> Bool

Eq (Ptr a)

Since: base-2.1

Defined in GHC.Ptr

Methods

(==) :: Ptr a -> Ptr a -> Bool

(/=) :: Ptr a -> Ptr a -> Bool

Eq (FunPtr a)

Defined in GHC.Ptr

Methods

(==) :: FunPtr a -> FunPtr a -> Bool

(/=) :: FunPtr a -> FunPtr a -> Bool

Eq p => Eq (Par1 p)

Since: base-4.7.0.0

Defined in GHC.Generics

Methods

(==) :: Par1 p -> Par1 p -> Bool

(/=) :: Par1 p -> Par1 p -> Bool

Eq a => Eq (Min a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

(==) :: Min a -> Min a -> Bool

(/=) :: Min a -> Min a -> Bool

Eq a => Eq (Max a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

(==) :: Max a -> Max a -> Bool

(/=) :: Max a -> Max a -> Bool

Eq a => Eq (First a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

(==) :: First a -> First a -> Bool

(/=) :: First a -> First a -> Bool

Eq a => Eq (Last a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

(==) :: Last a -> Last a -> Bool

(/=) :: Last a -> Last a -> Bool

Eq m => Eq (WrappedMonoid m)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

(==) :: WrappedMonoid m -> WrappedMonoid m -> Bool

(/=) :: WrappedMonoid m -> WrappedMonoid m -> Bool

Eq a => Eq (Option a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

(==) :: Option a -> Option a -> Bool

(/=) :: Option a -> Option a -> Bool

Eq a => Eq (ZipList a)

Since: base-4.7.0.0

Defined in Control.Applicative

Methods

(==) :: ZipList a -> ZipList a -> Bool

(/=) :: ZipList a -> ZipList a -> Bool

Eq a => Eq (Identity a)

Since: base-4.8.0.0

Defined in Data.Functor.Identity

Methods

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

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

Eq (TVar a)

Since: base-4.8.0.0

Defined in GHC.Conc.Sync

Methods

(==) :: TVar a -> TVar a -> Bool

(/=) :: TVar a -> TVar a -> Bool

Eq (IORef a)

Pointer equality.

Since: base-4.0.0.0

Defined in GHC.IORef

Methods

(==) :: IORef a -> IORef a -> Bool

(/=) :: IORef a -> IORef a -> Bool

Eq a => Eq (First a)

Since: base-2.1

Defined in Data.Monoid

Methods

(==) :: First a -> First a -> Bool

(/=) :: First a -> First a -> Bool

Eq a => Eq (Last a)

Since: base-2.1

Defined in Data.Monoid

Methods

(==) :: Last a -> Last a -> Bool

(/=) :: Last a -> Last a -> Bool

Eq a => Eq (Dual a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

(==) :: Dual a -> Dual a -> Bool

(/=) :: Dual a -> Dual a -> Bool

Eq a => Eq (Sum a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

(==) :: Sum a -> Sum a -> Bool

(/=) :: Sum a -> Sum a -> Bool

Eq a => Eq (Product a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

(==) :: Product a -> Product a -> Bool

(/=) :: Product a -> Product a -> Bool

Eq a => Eq (Down a)

Since: base-4.6.0.0

Defined in Data.Ord

Methods

(==) :: Down a -> Down a -> Bool

(/=) :: Down a -> Down a -> Bool

Eq (MVar a)

Since: base-4.1.0.0

Defined in GHC.MVar

Methods

(==) :: MVar a -> MVar a -> Bool

(/=) :: MVar a -> MVar a -> Bool

Eq a => Eq (NonEmpty a)

Since: base-4.9.0.0

Defined in GHC.Base

Methods

(==) :: NonEmpty a -> NonEmpty a -> Bool

(/=) :: NonEmpty a -> NonEmpty a -> Bool

Eq a => Eq (IntMap a)

Defined in Data.IntMap.Internal

Methods

(==) :: IntMap a -> IntMap a -> Bool

(/=) :: IntMap a -> IntMap a -> Bool

Eq a => Eq (Seq a)

Defined in Data.Sequence.Internal

Methods

(==) :: Seq a -> Seq a -> Bool

(/=) :: Seq a -> Seq a -> Bool

Eq a => Eq (ViewL a)

Defined in Data.Sequence.Internal

Methods

(==) :: ViewL a -> ViewL a -> Bool

(/=) :: ViewL a -> ViewL a -> Bool

Eq a => Eq (ViewR a)

Defined in Data.Sequence.Internal

Methods

(==) :: ViewR a -> ViewR a -> Bool

(/=) :: ViewR a -> ViewR a -> Bool

Eq a => Eq (Set a)

Defined in Data.Set.Internal

Methods

(==) :: Set a -> Set a -> Bool

(/=) :: Set a -> Set a -> Bool

Eq a => Eq (Hashed a)

Uses precomputed hash to detect inequality faster

Defined in Data.Hashable.Class

Methods

(==) :: Hashed a -> Hashed a -> Bool

(/=) :: Hashed a -> Hashed a -> Bool

Eq a => Eq (HashSet a)

Note that, in the presence of hash collisions, equal HashSets may behave differently, i.e. substitutivity may be violated:

>>> data D = A | B deriving (Eq, Show)
>>> instance Hashable D where hashWithSalt salt _d = salt

>>> x = fromList [A, B]
>>> y = fromList [B, A]

>>> x == y
True
>>> toList x
[A,B]
>>> toList y
[B,A]

In general, the lack of substitutivity can be observed with any function that depends on the key ordering, such as folds and traversals.

Defined in Data.HashSet.Internal

Methods

(==) :: HashSet a -> HashSet a -> Bool

(/=) :: HashSet a -> HashSet a -> Bool

Eq a => Eq (Vector a)

Defined in Data.Vector

Methods

(==) :: Vector a -> Vector a -> Bool

(/=) :: Vector a -> Vector a -> Bool

Eq (Doc a)

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

(==) :: Doc a -> Doc a -> Bool

(/=) :: Doc a -> Doc a -> Bool

Eq a => Eq (AnnotDetails a)

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

(==) :: AnnotDetails a -> AnnotDetails a -> Bool

(/=) :: AnnotDetails a -> AnnotDetails a -> Bool

Eq a => Eq (Span a)

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

(==) :: Span a -> Span a -> Bool

(/=) :: Span a -> Span a -> Bool

(Eq a, Eq b) => Eq (Either a b)

Since: base-2.1

Defined in Data.Either

Methods

(==) :: Either a b -> Either a b -> Bool

(/=) :: Either a b -> Either a b -> Bool

Eq (V1 p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

(==) :: V1 p -> V1 p -> Bool

(/=) :: V1 p -> V1 p -> Bool

Eq (U1 p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

(==) :: U1 p -> U1 p -> Bool

(/=) :: U1 p -> U1 p -> Bool

Eq (TypeRep a)

Since: base-2.1

Defined in Data.Typeable.Internal

Methods

(==) :: TypeRep a -> TypeRep a -> Bool

(/=) :: TypeRep a -> TypeRep a -> Bool

(Eq a, Eq b) => Eq (a, b)

Defined in GHC.Classes

Methods

(==) :: (a, b) -> (a, b) -> Bool

(/=) :: (a, b) -> (a, b) -> Bool

Eq a => Eq (Arg a b)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

(==) :: Arg a b -> Arg a b -> Bool

(/=) :: Arg a b -> Arg a b -> Bool

Eq (Proxy s)

Since: base-4.7.0.0

Defined in Data.Proxy

Methods

(==) :: Proxy s -> Proxy s -> Bool

(/=) :: Proxy s -> Proxy s -> Bool

(Eq k, Eq a) => Eq (Map k a)

Defined in Data.Map.Internal

Methods

(==) :: Map k a -> Map k a -> Bool

(/=) :: Map k a -> Map k a -> Bool

(Eq1 m, Eq a) => Eq (MaybeT m a)

Defined in Control.Monad.Trans.Maybe

Methods

(==) :: MaybeT m a -> MaybeT m a -> Bool

(/=) :: MaybeT m a -> MaybeT m a -> Bool

(Eq1 f, Eq a) => Eq (Cofree f a)

Defined in Control.Comonad.Cofree

Methods

(==) :: Cofree f a -> Cofree f a -> Bool

(/=) :: Cofree f a -> Cofree f a -> Bool

(Eq1 f, Eq a) => Eq (Free f a)

Defined in Control.Monad.Free

Methods

(==) :: Free f a -> Free f a -> Bool

(/=) :: Free f a -> Free f a -> Bool

(Eq1 f, Eq a) => Eq (Yoneda f a)

Defined in Data.Functor.Yoneda

Methods

(==) :: Yoneda f a -> Yoneda f a -> Bool

(/=) :: Yoneda f a -> Yoneda f a -> Bool

(Eq k, Eq v) => Eq (HashMap k v)

Note that, in the presence of hash collisions, equal HashMaps may behave differently, i.e. substitutivity may be violated:

>>> data D = A | B deriving (Eq, Show)
>>> instance Hashable D where hashWithSalt salt _d = salt

>>> x = fromList [(A,1), (B,2)]
>>> y = fromList [(B,2), (A,1)]

>>> x == y
True
>>> toList x
[(A,1),(B,2)]
>>> toList y
[(B,2),(A,1)]

In general, the lack of substitutivity can be observed with any function that depends on the key ordering, such as folds and traversals.

Defined in Data.HashMap.Internal

Methods

(==) :: HashMap k v -> HashMap k v -> Bool

(/=) :: HashMap k v -> HashMap k v -> Bool

(Eq k, Eq v) => Eq (Leaf k v)

Defined in Data.HashMap.Internal

Methods

(==) :: Leaf k v -> Leaf k v -> Bool

(/=) :: Leaf k v -> Leaf k v -> Bool

Eq (f p) => Eq (Rec1 f p)

Since: base-4.7.0.0

Defined in GHC.Generics

Methods

(==) :: Rec1 f p -> Rec1 f p -> Bool

(/=) :: Rec1 f p -> Rec1 f p -> Bool

Eq (URec (Ptr ()) p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

(==) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool

(/=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool

Eq (URec Char p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

(==) :: URec Char p -> URec Char p -> Bool

(/=) :: URec Char p -> URec Char p -> Bool

Eq (URec Double p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

(==) :: URec Double p -> URec Double p -> Bool

(/=) :: URec Double p -> URec Double p -> Bool

Eq (URec Float p)

Defined in GHC.Generics

Methods

(==) :: URec Float p -> URec Float p -> Bool

(/=) :: URec Float p -> URec Float p -> Bool

Eq (URec Int p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

(==) :: URec Int p -> URec Int p -> Bool

(/=) :: URec Int p -> URec Int p -> Bool

Eq (URec Word p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

(==) :: URec Word p -> URec Word p -> Bool

(/=) :: URec Word p -> URec Word p -> Bool

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

Defined in GHC.Classes

Methods

(==) :: (a, b, c) -> (a, b, c) -> Bool

(/=) :: (a, b, c) -> (a, b, c) -> Bool

Eq a => Eq (Const a b)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Methods

(==) :: Const a b -> Const a b -> Bool

(/=) :: Const a b -> Const a b -> Bool

Eq (f a) => Eq (Ap f a)

Since: base-4.12.0.0

Defined in Data.Monoid

Methods

(==) :: Ap f a -> Ap f a -> Bool

(/=) :: Ap f a -> Ap f a -> Bool

Eq (f a) => Eq (Alt f a)

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

(==) :: Alt f a -> Alt f a -> Bool

(/=) :: Alt f a -> Alt f a -> Bool

Eq (p a a) => Eq (Join p a)

Defined in Data.Bifunctor.Join

Methods

(==) :: Join p a -> Join p a -> Bool

(/=) :: Join p a -> Join p a -> Bool

Eq (p (Fix p a) a) => Eq (Fix p a)

Defined in Data.Bifunctor.Fix

Methods

(==) :: Fix p a -> Fix p a -> Bool

(/=) :: Fix p a -> Fix p a -> Bool

(Eq1 f, Eq a) => Eq (IdentityT f a)

Defined in Control.Monad.Trans.Identity

Methods

(==) :: IdentityT f a -> IdentityT f a -> Bool

(/=) :: IdentityT f a -> IdentityT f a -> Bool

(Eq e, Eq1 m, Eq a) => Eq (ExceptT e m a)

Defined in Control.Monad.Trans.Except

Methods

(==) :: ExceptT e m a -> ExceptT e m a -> Bool

(/=) :: ExceptT e m a -> ExceptT e m a -> Bool

(Eq a, Eq (f b)) => Eq (FreeF f a b)

Defined in Control.Monad.Trans.Free

Methods

(==) :: FreeF f a b -> FreeF f a b -> Bool

(/=) :: FreeF f a b -> FreeF f a b -> Bool

(Eq1 f, Eq1 m, Eq a) => Eq (FreeT f m a)

Defined in Control.Monad.Trans.Free

Methods

(==) :: FreeT f m a -> FreeT f m a -> Bool

(/=) :: FreeT f m a -> FreeT f m a -> Bool

(Eq a, Eq (f b)) => Eq (CofreeF f a b)

Defined in Control.Comonad.Trans.Cofree

Methods

(==) :: CofreeF f a b -> CofreeF f a b -> Bool

(/=) :: CofreeF f a b -> CofreeF f a b -> Bool

Eq (w (CofreeF f a (CofreeT f w a))) => Eq (CofreeT f w a)

Defined in Control.Comonad.Trans.Cofree

Methods

(==) :: CofreeT f w a -> CofreeT f w a -> Bool

(/=) :: CofreeT f w a -> CofreeT f w a -> Bool

(Eq e, Eq1 m, Eq a) => Eq (ErrorT e m a)

Defined in Control.Monad.Trans.Error

Methods

(==) :: ErrorT e m a -> ErrorT e m a -> Bool

(/=) :: ErrorT e m a -> ErrorT e m a -> Bool

Eq b => Eq (Tagged s b)

Defined in Data.Tagged

Methods

(==) :: Tagged s b -> Tagged s b -> Bool

(/=) :: Tagged s b -> Tagged s b -> Bool

Eq c => Eq (K1 i c p)

Since: base-4.7.0.0

Defined in GHC.Generics

Methods

(==) :: K1 i c p -> K1 i c p -> Bool

(/=) :: K1 i c p -> K1 i c p -> Bool

(Eq (f p), Eq (g p)) => Eq ((f :+: g) p)

Since: base-4.7.0.0

Defined in GHC.Generics

Methods

(==) :: (f :+: g) p -> (f :+: g) p -> Bool

(/=) :: (f :+: g) p -> (f :+: g) p -> Bool

(Eq (f p), Eq (g p)) => Eq ((f :*: g) p)

Since: base-4.7.0.0

Defined in GHC.Generics

Methods

(==) :: (f :*: g) p -> (f :*: g) p -> Bool

(/=) :: (f :*: g) p -> (f :*: g) p -> Bool

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

Defined in GHC.Classes

Methods

(==) :: (a, b, c, d) -> (a, b, c, d) -> Bool

(/=) :: (a, b, c, d) -> (a, b, c, d) -> Bool

Eq (f p) => Eq (M1 i c f p)

Since: base-4.7.0.0

Defined in GHC.Generics

Methods

(==) :: M1 i c f p -> M1 i c f p -> Bool

(/=) :: M1 i c f p -> M1 i c f p -> Bool

Eq (f (g p)) => Eq ((f :.: g) p)

Since: base-4.7.0.0

Defined in GHC.Generics

Methods

(==) :: (f :.: g) p -> (f :.: g) p -> Bool

(/=) :: (f :.: g) p -> (f :.: g) p -> Bool

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

Defined in GHC.Classes

Methods

(==) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool

(/=) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool

(Eq1 f, Eq1 g, Eq a) => Eq (Compose f g a)

Since: base-4.9.0.0

Defined in Data.Functor.Compose

Methods

(==) :: Compose f g a -> Compose f g a -> Bool

(/=) :: Compose f g a -> Compose f g a -> Bool

Eq (p a b) => Eq (WrappedBifunctor p a b)

Defined in Data.Bifunctor.Wrapped

Methods

(==) :: WrappedBifunctor p a b -> WrappedBifunctor p a b -> Bool

(/=) :: WrappedBifunctor p a b -> WrappedBifunctor p a b -> Bool

Eq (g b) => Eq (Joker g a b)

Defined in Data.Bifunctor.Joker

Methods

(==) :: Joker g a b -> Joker g a b -> Bool

(/=) :: Joker g a b -> Joker g a b -> Bool

Eq (p b a) => Eq (Flip p a b)

Defined in Data.Bifunctor.Flip

Methods

(==) :: Flip p a b -> Flip p a b -> Bool

(/=) :: Flip p a b -> Flip p a b -> Bool

Eq (f a) => Eq (Clown f a b)

Defined in Data.Bifunctor.Clown

Methods

(==) :: Clown f a b -> Clown f a b -> Bool

(/=) :: Clown f a b -> Clown f a b -> Bool

(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f) => Eq (a, b, c, d, e, f)

Defined in GHC.Classes

Methods

(==) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool

(/=) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool

(Eq (p a b), Eq (q a b)) => Eq (Sum p q a b)

Defined in Data.Bifunctor.Sum

Methods

(==) :: Sum p q a b -> Sum p q a b -> Bool

(/=) :: Sum p q a b -> Sum p q a b -> Bool

(Eq (f a b), Eq (g a b)) => Eq (Product f g a b)

Defined in Data.Bifunctor.Product

Methods

(==) :: Product f g a b -> Product f g a b -> Bool

(/=) :: Product f g a b -> Product f g a b -> Bool

(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g) => Eq (a, b, c, d, e, f, g)

Defined in GHC.Classes

Methods

(==) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool

(/=) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool

Eq (f (p a b)) => Eq (Tannen f p a b)

Defined in Data.Bifunctor.Tannen

Methods

(==) :: Tannen f p a b -> Tannen f p a b -> Bool

(/=) :: Tannen f p a b -> Tannen f p a b -> Bool

(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h) => Eq (a, b, c, d, e, f, g, h)

Defined in GHC.Classes

Methods

(==) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool

(/=) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool

(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i) => Eq (a, b, c, d, e, f, g, h, i)

Defined in GHC.Classes

Methods

(==) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool

(/=) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool

Eq (p (f a) (g b)) => Eq (Biff p f g a b)

Defined in Data.Bifunctor.Biff

Methods

(==) :: Biff p f g a b -> Biff p f g a b -> Bool

(/=) :: Biff p f g a b -> Biff p f g a b -> Bool

(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j) => Eq (a, b, c, d, e, f, g, h, i, j)

Defined in GHC.Classes

Methods

(==) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool

(/=) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool

(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j, Eq k) => Eq (a, b, c, d, e, f, g, h, i, j, k)

Defined in GHC.Classes

Methods

(==) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool

(/=) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool

(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j, Eq k, Eq l) => Eq (a, b, c, d, e, f, g, h, i, j, k, l)

Defined in GHC.Classes

Methods

(==) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool

(/=) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool

(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j, Eq k, Eq l, Eq m) => Eq (a, b, c, d, e, f, g, h, i, j, k, l, m)

Defined in GHC.Classes

Methods

(==) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool

(/=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool

(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j, Eq k, Eq l, Eq m, Eq n) => Eq (a, b, c, d, e, f, g, h, i, j, k, l, m, n)

Defined in GHC.Classes

Methods

(==) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool

(/=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool

(Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j, Eq k, Eq l, Eq m, Eq n, Eq o) => Eq (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)

Defined in GHC.Classes

Methods

(==) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool

(/=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool

class Fractional a => Floating a where

Trigonometric and hyperbolic functions and related functions.

The Haskell Report defines no laws for Floating. However, (+), (*) and exp are customarily expected to define an exponential field and have the following properties:

• exp (a + b) = exp a * exp b
• exp (fromInteger 0) = fromInteger 1

Minimal complete definition

pi, exp, log, sin, cos, asin, acos, atan, sinh, cosh, asinh, acosh, atanh

Methods

pi :: a

exp :: a -> a

sqrt :: a -> a

(**) :: a -> a -> a infixr 8

logBase :: a -> a -> a

sin :: a -> a

cos :: a -> a

tan :: a -> a

asin :: a -> a

acos :: a -> a

atan :: a -> a

sinh :: a -> a

cosh :: a -> a

tanh :: a -> a

asinh :: a -> a

acosh :: a -> a

atanh :: a -> a

Instances

Floating Double

Since: base-2.1

Defined in GHC.Float

Methods

pi :: Double

exp :: Double -> Double

log :: Double -> Double

sqrt :: Double -> Double

(**) :: Double -> Double -> Double

logBase :: Double -> Double -> Double

sin :: Double -> Double

cos :: Double -> Double

tan :: Double -> Double

asin :: Double -> Double

acos :: Double -> Double

atan :: Double -> Double

sinh :: Double -> Double

cosh :: Double -> Double

tanh :: Double -> Double

asinh :: Double -> Double

acosh :: Double -> Double

atanh :: Double -> Double

log1p :: Double -> Double

expm1 :: Double -> Double

log1pexp :: Double -> Double

log1mexp :: Double -> Double

Floating Float

Since: base-2.1

Defined in GHC.Float

Methods

pi :: Float

exp :: Float -> Float

log :: Float -> Float

sqrt :: Float -> Float

(**) :: Float -> Float -> Float

logBase :: Float -> Float -> Float

sin :: Float -> Float

cos :: Float -> Float

tan :: Float -> Float

asin :: Float -> Float

acos :: Float -> Float

atan :: Float -> Float

sinh :: Float -> Float

cosh :: Float -> Float

tanh :: Float -> Float

asinh :: Float -> Float

acosh :: Float -> Float

atanh :: Float -> Float

log1p :: Float -> Float

expm1 :: Float -> Float

log1pexp :: Float -> Float

log1mexp :: Float -> Float

Floating a => Floating (Identity a)

Since: base-4.9.0.0

Defined in Data.Functor.Identity

Methods

pi :: Identity a

exp :: Identity a -> Identity a

log :: Identity a -> Identity a

sqrt :: Identity a -> Identity a

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

logBase :: Identity a -> Identity a -> Identity a

sin :: Identity a -> Identity a

cos :: Identity a -> Identity a

tan :: Identity a -> Identity a

asin :: Identity a -> Identity a

acos :: Identity a -> Identity a

atan :: Identity a -> Identity a

sinh :: Identity a -> Identity a

cosh :: Identity a -> Identity a

tanh :: Identity a -> Identity a

asinh :: Identity a -> Identity a

acosh :: Identity a -> Identity a

atanh :: Identity a -> Identity a

log1p :: Identity a -> Identity a

expm1 :: Identity a -> Identity a

log1pexp :: Identity a -> Identity a

log1mexp :: Identity a -> Identity a

Floating a => Floating (Down a)

Since: base-4.14.0.0

Defined in Data.Ord

Methods

pi :: Down a

exp :: Down a -> Down a

log :: Down a -> Down a

sqrt :: Down a -> Down a

(**) :: Down a -> Down a -> Down a

logBase :: Down a -> Down a -> Down a

sin :: Down a -> Down a

cos :: Down a -> Down a

tan :: Down a -> Down a

asin :: Down a -> Down a

acos :: Down a -> Down a

atan :: Down a -> Down a

sinh :: Down a -> Down a

cosh :: Down a -> Down a

tanh :: Down a -> Down a

asinh :: Down a -> Down a

acosh :: Down a -> Down a

atanh :: Down a -> Down a

log1p :: Down a -> Down a

expm1 :: Down a -> Down a

log1pexp :: Down a -> Down a

log1mexp :: Down a -> Down a

Floating a => Floating (Const a b)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Methods

pi :: Const a b

exp :: Const a b -> Const a b

log :: Const a b -> Const a b

sqrt :: Const a b -> Const a b

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

logBase :: Const a b -> Const a b -> Const a b

sin :: Const a b -> Const a b

cos :: Const a b -> Const a b

tan :: Const a b -> Const a b

asin :: Const a b -> Const a b

acos :: Const a b -> Const a b

atan :: Const a b -> Const a b

sinh :: Const a b -> Const a b

cosh :: Const a b -> Const a b

tanh :: Const a b -> Const a b

asinh :: Const a b -> Const a b

acosh :: Const a b -> Const a b

atanh :: Const a b -> Const a b

log1p :: Const a b -> Const a b

expm1 :: Const a b -> Const a b

log1pexp :: Const a b -> Const a b

log1mexp :: Const a b -> Const a b

Floating a => Floating (Tagged s a)

Defined in Data.Tagged

Methods

pi :: Tagged s a

exp :: Tagged s a -> Tagged s a

log :: Tagged s a -> Tagged s a

sqrt :: Tagged s a -> Tagged s a

(**) :: Tagged s a -> Tagged s a -> Tagged s a

logBase :: Tagged s a -> Tagged s a -> Tagged s a

sin :: Tagged s a -> Tagged s a

cos :: Tagged s a -> Tagged s a

tan :: Tagged s a -> Tagged s a

asin :: Tagged s a -> Tagged s a

acos :: Tagged s a -> Tagged s a

atan :: Tagged s a -> Tagged s a

sinh :: Tagged s a -> Tagged s a

cosh :: Tagged s a -> Tagged s a

tanh :: Tagged s a -> Tagged s a

asinh :: Tagged s a -> Tagged s a

acosh :: Tagged s a -> Tagged s a

atanh :: Tagged s a -> Tagged s a

log1p :: Tagged s a -> Tagged s a

expm1 :: Tagged s a -> Tagged s a

log1pexp :: Tagged s a -> Tagged s a

log1mexp :: Tagged s a -> Tagged s a

class Num a => Fractional a where

Fractional numbers, supporting real division.

The Haskell Report defines no laws for Fractional. However, (+) and (*) are customarily expected to define a division ring and have the following properties:

recip gives the multiplicative inverse

x * recip x = recip x * x = fromInteger 1

Note that it isn't customarily expected that a type instance of Fractional implement a field. However, all instances in base do.

Minimal complete definition

fromRational, (recip | (/))

Methods

(/) :: a -> a -> a infixl 7

Fractional division.

recip :: a -> a

Reciprocal fraction.

fromRational :: Rational -> a

Conversion from a Rational (that is Ratio Integer). A floating literal stands for an application of fromRational to a value of type Rational, so such literals have type (Fractional a) => a.

Instances

Integral a => Fractional (Ratio a)

Since: base-2.0.1

Defined in GHC.Real

Methods

(/) :: Ratio a -> Ratio a -> Ratio a

recip :: Ratio a -> Ratio a

fromRational :: Rational -> Ratio a

Fractional a => Fractional (Identity a)

Since: base-4.9.0.0

Defined in Data.Functor.Identity

Methods

(/) :: Identity a -> Identity a -> Identity a

recip :: Identity a -> Identity a

fromRational :: Rational -> Identity a

Fractional a => Fractional (Down a)

Since: base-4.14.0.0

Defined in Data.Ord

Methods

(/) :: Down a -> Down a -> Down a

recip :: Down a -> Down a

fromRational :: Rational -> Down a

Fractional a => Fractional (Const a b)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Methods

(/) :: Const a b -> Const a b -> Const a b

recip :: Const a b -> Const a b

fromRational :: Rational -> Const a b

Fractional a => Fractional (Tagged s a)

Defined in Data.Tagged

Methods

(/) :: Tagged s a -> Tagged s a -> Tagged s a

recip :: Tagged s a -> Tagged s a

fromRational :: Rational -> Tagged s a

class (Real a, Enum a) => Integral a where

Integral numbers, supporting integer division.

The Haskell Report defines no laws for Integral. However, Integral instances are customarily expected to define a Euclidean domain and have the following properties for the div/mod and quot/rem pairs, given suitable Euclidean functions f and g:

• x = y * quot x y + rem x y with rem x y = fromInteger 0 or g (rem x y) < g y
• x = y * div x y + mod x y with mod x y = fromInteger 0 or f (mod x y) < f y

An example of a suitable Euclidean function, for Integer's instance, is abs.

Minimal complete definition

quotRem, toInteger

Methods

quot :: a -> a -> a infixl 7

integer division truncated toward zero

rem :: a -> a -> a infixl 7

integer remainder, satisfying

(x `quot` y)*y + (x `rem` y) == x

div :: a -> a -> a infixl 7

integer division truncated toward negative infinity

mod :: a -> a -> a infixl 7

integer modulus, satisfying

(x `div` y)*y + (x `mod` y) == x

quotRem :: a -> a -> (a, a)

simultaneous quot and rem

divMod :: a -> a -> (a, a)

simultaneous div and mod

toInteger :: a -> Integer

conversion to Integer

Instances

Integral Int

Since: base-2.0.1

Defined in GHC.Real

Methods

quot :: Int -> Int -> Int

rem :: Int -> Int -> Int

div :: Int -> Int -> Int

mod :: Int -> Int -> Int

quotRem :: Int -> Int -> (Int, Int)

divMod :: Int -> Int -> (Int, Int)

toInteger :: Int -> Integer

Integral Int8

Since: base-2.1

Defined in GHC.Int

Methods

quot :: Int8 -> Int8 -> Int8

rem :: Int8 -> Int8 -> Int8

div :: Int8 -> Int8 -> Int8

mod :: Int8 -> Int8 -> Int8

quotRem :: Int8 -> Int8 -> (Int8, Int8)

divMod :: Int8 -> Int8 -> (Int8, Int8)

toInteger :: Int8 -> Integer

Integral Int16

Since: base-2.1

Defined in GHC.Int

Methods

quot :: Int16 -> Int16 -> Int16

rem :: Int16 -> Int16 -> Int16

div :: Int16 -> Int16 -> Int16

mod :: Int16 -> Int16 -> Int16

quotRem :: Int16 -> Int16 -> (Int16, Int16)

divMod :: Int16 -> Int16 -> (Int16, Int16)

toInteger :: Int16 -> Integer

Integral Int32

Since: base-2.1

Defined in GHC.Int

Methods

quot :: Int32 -> Int32 -> Int32

rem :: Int32 -> Int32 -> Int32

div :: Int32 -> Int32 -> Int32

mod :: Int32 -> Int32 -> Int32

quotRem :: Int32 -> Int32 -> (Int32, Int32)

divMod :: Int32 -> Int32 -> (Int32, Int32)

toInteger :: Int32 -> Integer

Integral Int64

Since: base-2.1

Defined in GHC.Int

Methods

quot :: Int64 -> Int64 -> Int64

rem :: Int64 -> Int64 -> Int64

div :: Int64 -> Int64 -> Int64

mod :: Int64 -> Int64 -> Int64

quotRem :: Int64 -> Int64 -> (Int64, Int64)

divMod :: Int64 -> Int64 -> (Int64, Int64)

toInteger :: Int64 -> Integer

Integral Integer

Since: base-2.0.1

Defined in GHC.Real

Methods

quot :: Integer -> Integer -> Integer

rem :: Integer -> Integer -> Integer

div :: Integer -> Integer -> Integer

mod :: Integer -> Integer -> Integer

quotRem :: Integer -> Integer -> (Integer, Integer)

divMod :: Integer -> Integer -> (Integer, Integer)

toInteger :: Integer -> Integer

Integral Natural

Since: base-4.8.0.0

Defined in GHC.Real

Methods

quot :: Natural -> Natural -> Natural

rem :: Natural -> Natural -> Natural

div :: Natural -> Natural -> Natural

mod :: Natural -> Natural -> Natural

quotRem :: Natural -> Natural -> (Natural, Natural)

divMod :: Natural -> Natural -> (Natural, Natural)

toInteger :: Natural -> Integer

Integral Word

Since: base-2.1

Defined in GHC.Real

Methods

quot :: Word -> Word -> Word

rem :: Word -> Word -> Word

div :: Word -> Word -> Word

mod :: Word -> Word -> Word

quotRem :: Word -> Word -> (Word, Word)

divMod :: Word -> Word -> (Word, Word)

toInteger :: Word -> Integer

Integral Word8

Since: base-2.1

Defined in GHC.Word

Methods

quot :: Word8 -> Word8 -> Word8

rem :: Word8 -> Word8 -> Word8

div :: Word8 -> Word8 -> Word8

mod :: Word8 -> Word8 -> Word8

quotRem :: Word8 -> Word8 -> (Word8, Word8)

divMod :: Word8 -> Word8 -> (Word8, Word8)

toInteger :: Word8 -> Integer

Integral Word16

Since: base-2.1

Defined in GHC.Word

Methods

quot :: Word16 -> Word16 -> Word16

rem :: Word16 -> Word16 -> Word16

div :: Word16 -> Word16 -> Word16

mod :: Word16 -> Word16 -> Word16

quotRem :: Word16 -> Word16 -> (Word16, Word16)

divMod :: Word16 -> Word16 -> (Word16, Word16)

toInteger :: Word16 -> Integer

Integral Word32

Since: base-2.1

Defined in GHC.Word

Methods

quot :: Word32 -> Word32 -> Word32

rem :: Word32 -> Word32 -> Word32

div :: Word32 -> Word32 -> Word32

mod :: Word32 -> Word32 -> Word32

quotRem :: Word32 -> Word32 -> (Word32, Word32)

divMod :: Word32 -> Word32 -> (Word32, Word32)

toInteger :: Word32 -> Integer

Integral Word64

Since: base-2.1

Defined in GHC.Word

Methods

quot :: Word64 -> Word64 -> Word64

rem :: Word64 -> Word64 -> Word64

div :: Word64 -> Word64 -> Word64

mod :: Word64 -> Word64 -> Word64

quotRem :: Word64 -> Word64 -> (Word64, Word64)

divMod :: Word64 -> Word64 -> (Word64, Word64)

toInteger :: Word64 -> Integer

Integral a => Integral (Identity a)

Since: base-4.9.0.0

Defined in Data.Functor.Identity

Methods

quot :: Identity a -> Identity a -> Identity a

rem :: Identity a -> Identity a -> Identity a

div :: Identity a -> Identity a -> Identity a

mod :: Identity a -> Identity a -> Identity a

quotRem :: Identity a -> Identity a -> (Identity a, Identity a)

divMod :: Identity a -> Identity a -> (Identity a, Identity a)

toInteger :: Identity a -> Integer

Integral a => Integral (Down a)

Since: base-4.14.0.0

Defined in Data.Ord

Methods

quot :: Down a -> Down a -> Down a

rem :: Down a -> Down a -> Down a

div :: Down a -> Down a -> Down a

mod :: Down a -> Down a -> Down a

quotRem :: Down a -> Down a -> (Down a, Down a)

divMod :: Down a -> Down a -> (Down a, Down a)

toInteger :: Down a -> Integer

Integral a => Integral (Const a b)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Methods

quot :: Const a b -> Const a b -> Const a b

rem :: Const a b -> Const a b -> Const a b

div :: Const a b -> Const a b -> Const a b

mod :: Const a b -> Const a b -> Const a b

quotRem :: Const a b -> Const a b -> (Const a b, Const a b)

divMod :: Const a b -> Const a b -> (Const a b, Const a b)

toInteger :: Const a b -> Integer

Integral a => Integral (Tagged s a)

Defined in Data.Tagged

Methods

quot :: Tagged s a -> Tagged s a -> Tagged s a

rem :: Tagged s a -> Tagged s a -> Tagged s a

div :: Tagged s a -> Tagged s a -> Tagged s a

mod :: Tagged s a -> Tagged s a -> Tagged s a

quotRem :: Tagged s a -> Tagged s a -> (Tagged s a, Tagged s a)

divMod :: Tagged s a -> Tagged s a -> (Tagged s a, Tagged s a)

toInteger :: Tagged s a -> Integer

class Applicative m => Monad (m :: Type -> Type) where

The Monad class defines the basic operations over a monad, a concept from a branch of mathematics known as category theory. From the perspective of a Haskell programmer, however, it is best to think of a monad as an abstract datatype of actions. Haskell's do expressions provide a convenient syntax for writing monadic expressions.

Instances of Monad should satisfy the following:

Left identity

return a >>= k = k a

Right identity

m >>= return = m

Associativity

m >>= (\x -> k x >>= h) = (m >>= k) >>= h

Furthermore, the Monad and Applicative operations should relate as follows:

• pure = return

• m1 <*> m2 = m1 >>= (x1 -> m2 >>= (x2 -> return (x1 x2)))

The above laws imply:

• fmap f xs  =  xs >>= return . f

• (>>) = (*>)

and that pure and (<*>) satisfy the applicative functor laws.

The instances of Monad for lists, Maybe and IO defined in the Prelude satisfy these laws.

Minimal complete definition

(>>=)

Methods

(>>=) :: m a -> (a -> m b) -> m b infixl 1

Sequentially compose two actions, passing any value produced by the first as an argument to the second.

'as >>= bs' can be understood as the do expression

do a <- as
   bs a

(>>) :: m a -> m b -> m b infixl 1

Sequentially compose two actions, discarding any value produced by the first, like sequencing operators (such as the semicolon) in imperative languages.

'as >> bs' can be understood as the do expression

do as
   bs

return :: a -> m a

Inject a value into the monadic type.

Instances

Monad []

Since: base-2.1

Defined in GHC.Base

Methods

(>>=) :: [a] -> (a -> [b]) -> [b]

(>>) :: [a] -> [b] -> [b]

return :: a -> [a]

Monad Maybe

Since: base-2.1

Defined in GHC.Base

Methods

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

(>>) :: Maybe a -> Maybe b -> Maybe b

return :: a -> Maybe a

Monad IO

Since: base-2.1

Defined in GHC.Base

Methods

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

(>>) :: IO a -> IO b -> IO b

return :: a -> IO a

Monad Par1

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

(>>=) :: Par1 a -> (a -> Par1 b) -> Par1 b

(>>) :: Par1 a -> Par1 b -> Par1 b

return :: a -> Par1 a

Monad Min

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

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

(>>) :: Min a -> Min b -> Min b

return :: a -> Min a

Monad Max

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

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

(>>) :: Max a -> Max b -> Max b

return :: a -> Max a

Monad First

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

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

(>>) :: First a -> First b -> First b

return :: a -> First a

Monad Last

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

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

(>>) :: Last a -> Last b -> Last b

return :: a -> Last a

Monad Option

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

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

(>>) :: Option a -> Option b -> Option b

return :: a -> Option a

Monad Identity

Since: base-4.8.0.0

Defined in Data.Functor.Identity

Methods

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

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

return :: a -> Identity a

Monad STM

Since: base-4.3.0.0

Defined in GHC.Conc.Sync

Methods

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

(>>) :: STM a -> STM b -> STM b

return :: a -> STM a

Monad First

Since: base-4.8.0.0

Defined in Data.Monoid

Methods

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

(>>) :: First a -> First b -> First b

return :: a -> First a

Monad Last

Since: base-4.8.0.0

Defined in Data.Monoid

Methods

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

(>>) :: Last a -> Last b -> Last b

return :: a -> Last a

Monad Dual

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

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

(>>) :: Dual a -> Dual b -> Dual b

return :: a -> Dual a

Monad Sum

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

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

(>>) :: Sum a -> Sum b -> Sum b

return :: a -> Sum a

Monad Product

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

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

(>>) :: Product a -> Product b -> Product b

return :: a -> Product a

Monad Down

Since: base-4.11.0.0

Defined in Data.Ord

Methods

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

(>>) :: Down a -> Down b -> Down b

return :: a -> Down a

Monad ReadP

Since: base-2.1

Defined in Text.ParserCombinators.ReadP

Methods

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

(>>) :: ReadP a -> ReadP b -> ReadP b

return :: a -> ReadP a

Monad NonEmpty

Since: base-4.9.0.0

Defined in GHC.Base

Methods

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

(>>) :: NonEmpty a -> NonEmpty b -> NonEmpty b

return :: a -> NonEmpty a

Monad Seq

Defined in Data.Sequence.Internal

Methods

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

(>>) :: Seq a -> Seq b -> Seq b

return :: a -> Seq a

Monad Vector

Defined in Data.Vector

Methods

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

(>>) :: Vector a -> Vector b -> Vector b

return :: a -> Vector a

Monad P

Since: base-2.1

Defined in Text.ParserCombinators.ReadP

Methods

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

(>>) :: P a -> P b -> P b

return :: a -> P a

Monad (Either e)

Since: base-4.4.0.0

Defined in Data.Either

Methods

(>>=) :: Either e a -> (a -> Either e b) -> Either e b

(>>) :: Either e a -> Either e b -> Either e b

return :: a -> Either e a

Monad (U1 :: Type -> Type)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

(>>=) :: U1 a -> (a -> U1 b) -> U1 b

(>>) :: U1 a -> U1 b -> U1 b

return :: a -> U1 a

Monoid a => Monad ((,) a)

Since: base-4.9.0.0

Defined in GHC.Base

Methods

(>>=) :: (a, a0) -> (a0 -> (a, b)) -> (a, b)

(>>) :: (a, a0) -> (a, b) -> (a, b)

return :: a0 -> (a, a0)

Representable f => Monad (Co f)

Defined in Data.Functor.Rep

Methods

(>>=) :: Co f a -> (a -> Co f b) -> Co f b

(>>) :: Co f a -> Co f b -> Co f b

return :: a -> Co f a

Monad m => Monad (WrappedMonad m)

Since: base-4.7.0.0

Defined in Control.Applicative

Methods

(>>=) :: WrappedMonad m a -> (a -> WrappedMonad m b) -> WrappedMonad m b

(>>) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m b

return :: a -> WrappedMonad m a

ArrowApply a => Monad (ArrowMonad a)

Since: base-2.1

Defined in Control.Arrow

Methods

(>>=) :: ArrowMonad a a0 -> (a0 -> ArrowMonad a b) -> ArrowMonad a b

(>>) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a b

return :: a0 -> ArrowMonad a a0

Monad (Proxy :: Type -> Type)

Since: base-4.7.0.0

Defined in Data.Proxy

Methods

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

(>>) :: Proxy a -> Proxy b -> Proxy b

return :: a -> Proxy a

Monad m => Monad (MaybeT m)

Defined in Control.Monad.Trans.Maybe

Methods

(>>=) :: MaybeT m a -> (a -> MaybeT m b) -> MaybeT m b

(>>) :: MaybeT m a -> MaybeT m b -> MaybeT m b

return :: a -> MaybeT m a

Alternative f => Monad (Cofree f)

Defined in Control.Comonad.Cofree

Methods

(>>=) :: Cofree f a -> (a -> Cofree f b) -> Cofree f b

(>>) :: Cofree f a -> Cofree f b -> Cofree f b

return :: a -> Cofree f a

Functor f => Monad (Free f)

Defined in Control.Monad.Free

Methods

(>>=) :: Free f a -> (a -> Free f b) -> Free f b

(>>) :: Free f a -> Free f b -> Free f b

return :: a -> Free f a

Monad m => Monad (Yoneda m)

Defined in Data.Functor.Yoneda

Methods

(>>=) :: Yoneda m a -> (a -> Yoneda m b) -> Yoneda m b

(>>) :: Yoneda m a -> Yoneda m b -> Yoneda m b

return :: a -> Yoneda m a

Monad (ReifiedGetter s)

Defined in Control.Lens.Reified

Methods

(>>=) :: ReifiedGetter s a -> (a -> ReifiedGetter s b) -> ReifiedGetter s b

(>>) :: ReifiedGetter s a -> ReifiedGetter s b -> ReifiedGetter s b

return :: a -> ReifiedGetter s a

Monad (ReifiedFold s)

Defined in Control.Lens.Reified

Methods

(>>=) :: ReifiedFold s a -> (a -> ReifiedFold s b) -> ReifiedFold s b

(>>) :: ReifiedFold s a -> ReifiedFold s b -> ReifiedFold s b

return :: a -> ReifiedFold s a

(Monad (Rep p), Representable p) => Monad (Prep p)

Defined in Data.Profunctor.Rep

Methods

(>>=) :: Prep p a -> (a -> Prep p b) -> Prep p b

(>>) :: Prep p a -> Prep p b -> Prep p b

return :: a -> Prep p a

Monad f => Monad (Rec1 f)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

(>>=) :: Rec1 f a -> (a -> Rec1 f b) -> Rec1 f b

(>>) :: Rec1 f a -> Rec1 f b -> Rec1 f b

return :: a -> Rec1 f a

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

Since: base-4.14.0.0

Defined in GHC.Base

Methods

(>>=) :: (a, b, a0) -> (a0 -> (a, b, b0)) -> (a, b, b0)

(>>) :: (a, b, a0) -> (a, b, b0) -> (a, b, b0)

return :: a0 -> (a, b, a0)

Monad m => Monad (Kleisli m a)

Since: base-4.14.0.0

Defined in Control.Arrow

Methods

(>>=) :: Kleisli m a a0 -> (a0 -> Kleisli m a b) -> Kleisli m a b

(>>) :: Kleisli m a a0 -> Kleisli m a b -> Kleisli m a b

return :: a0 -> Kleisli m a a0

Monad f => Monad (Ap f)

Since: base-4.12.0.0

Defined in Data.Monoid

Methods

(>>=) :: Ap f a -> (a -> Ap f b) -> Ap f b

(>>) :: Ap f a -> Ap f b -> Ap f b

return :: a -> Ap f a

Monad f => Monad (Alt f)

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

(>>=) :: Alt f a -> (a -> Alt f b) -> Alt f b

(>>) :: Alt f a -> Alt f b -> Alt f b

return :: a -> Alt f a

Monad m => Monad (IdentityT m)

Defined in Control.Monad.Trans.Identity

Methods

(>>=) :: IdentityT m a -> (a -> IdentityT m b) -> IdentityT m b

(>>) :: IdentityT m a -> IdentityT m b -> IdentityT m b

return :: a -> IdentityT m a

(Applicative f, Monad f) => Monad (WhenMissing f x)

Equivalent to ReaderT k (ReaderT x (MaybeT f)).

Since: containers-0.5.9

Defined in Data.IntMap.Internal

Methods

(>>=) :: WhenMissing f x a -> (a -> WhenMissing f x b) -> WhenMissing f x b

(>>) :: WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x b

return :: a -> WhenMissing f x a

Monad m => Monad (ExceptT e m)

Defined in Control.Monad.Trans.Except

Methods

(>>=) :: ExceptT e m a -> (a -> ExceptT e m b) -> ExceptT e m b

(>>) :: ExceptT e m a -> ExceptT e m b -> ExceptT e m b

return :: a -> ExceptT e m a

(Functor f, Monad m) => Monad (FreeT f m)

Defined in Control.Monad.Trans.Free

Methods

(>>=) :: FreeT f m a -> (a -> FreeT f m b) -> FreeT f m b

(>>) :: FreeT f m a -> FreeT f m b -> FreeT f m b

return :: a -> FreeT f m a

(Alternative f, Monad w) => Monad (CofreeT f w)

Defined in Control.Comonad.Trans.Cofree

Methods

(>>=) :: CofreeT f w a -> (a -> CofreeT f w b) -> CofreeT f w b

(>>) :: CofreeT f w a -> CofreeT f w b -> CofreeT f w b

return :: a -> CofreeT f w a

(Monad m, Error e) => Monad (ErrorT e m)

Defined in Control.Monad.Trans.Error

Methods

(>>=) :: ErrorT e m a -> (a -> ErrorT e m b) -> ErrorT e m b

(>>) :: ErrorT e m a -> ErrorT e m b -> ErrorT e m b

return :: a -> ErrorT e m a

Monad m => Monad (StateT s m)

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

Monad (Tagged s)

Defined in Data.Tagged

Methods

(>>=) :: Tagged s a -> (a -> Tagged s b) -> Tagged s b

(>>) :: Tagged s a -> Tagged s b -> Tagged s b

return :: a -> Tagged s a

Monad (Indexed i a)

Defined in Control.Lens.Internal.Indexed

Methods

(>>=) :: Indexed i a a0 -> (a0 -> Indexed i a b) -> Indexed i a b

(>>) :: Indexed i a a0 -> Indexed i a b -> Indexed i a b

return :: a0 -> Indexed i a a0

Monad m => Monad (ReaderT r m)

Defined in Control.Monad.Trans.Reader

Methods

(>>=) :: ReaderT r m a -> (a -> ReaderT r m b) -> ReaderT r m b

(>>) :: ReaderT r m a -> ReaderT r m b -> ReaderT r m b

return :: a -> ReaderT r m a

Monad ((->) r :: Type -> Type)

Since: base-2.1

Defined in GHC.Base

Methods

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

(>>) :: (r -> a) -> (r -> b) -> r -> b

return :: a -> r -> a

(Monad f, Monad g) => Monad (f :*: g)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

(>>=) :: (f :*: g) a -> (a -> (f :*: g) b) -> (f :*: g) b

(>>) :: (f :*: g) a -> (f :*: g) b -> (f :*: g) b

return :: a -> (f :*: g) a

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

Since: base-4.14.0.0

Defined in GHC.Base

Methods

(>>=) :: (a, b, c, a0) -> (a0 -> (a, b, c, b0)) -> (a, b, c, b0)

(>>) :: (a, b, c, a0) -> (a, b, c, b0) -> (a, b, c, b0)

return :: a0 -> (a, b, c, a0)

(Monad f, Applicative f) => Monad (WhenMatched f x y)

Equivalent to ReaderT Key (ReaderT x (ReaderT y (MaybeT f)))

Since: containers-0.5.9

Defined in Data.IntMap.Internal

Methods

(>>=) :: WhenMatched f x y a -> (a -> WhenMatched f x y b) -> WhenMatched f x y b

(>>) :: WhenMatched f x y a -> WhenMatched f x y b -> WhenMatched f x y b

return :: a -> WhenMatched f x y a

(Applicative f, Monad f) => Monad (WhenMissing f k x)

Equivalent to ReaderT k (ReaderT x (MaybeT f)) .

Since: containers-0.5.9

Defined in Data.Map.Internal

Methods

(>>=) :: WhenMissing f k x a -> (a -> WhenMissing f k x b) -> WhenMissing f k x b

(>>) :: WhenMissing f k x a -> WhenMissing f k x b -> WhenMissing f k x b

return :: a -> WhenMissing f k x a

Monad f => Monad (M1 i c f)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

(>>=) :: M1 i c f a -> (a -> M1 i c f b) -> M1 i c f b

(>>) :: M1 i c f a -> M1 i c f b -> M1 i c f b

return :: a -> M1 i c f a

(Monad f, Applicative f) => Monad (WhenMatched f k x y)

Equivalent to ReaderT k (ReaderT x (ReaderT y (MaybeT f)))

Since: containers-0.5.9

Defined in Data.Map.Internal

Methods

(>>=) :: WhenMatched f k x y a -> (a -> WhenMatched f k x y b) -> WhenMatched f k x y b

(>>) :: WhenMatched f k x y a -> WhenMatched f k x y b -> WhenMatched f k x y b

return :: a -> WhenMatched f k x y a

class Functor (f :: Type -> Type) where

A type f is a Functor if it provides a function fmap which, given any types a and b lets you apply any function from (a -> b) to turn an f a into an f b, preserving the structure of f. Furthermore f needs to adhere to the following:

Identity

fmap id == id

Composition

fmap (f . g) == fmap f . fmap g

Note, that the second law follows from the free theorem of the type fmap and the first law, so you need only check that the former condition holds.

Minimal complete definition

fmap

Methods

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

Using ApplicativeDo: 'fmap f as' can be understood as the do expression

do a <- as
   pure (f a)

with an inferred Functor constraint.

(<$) :: a -> f b -> f a infixl 4

Replace all locations in the input with the same value. The default definition is fmap . const, but this may be overridden with a more efficient version.

Using ApplicativeDo: 'a <$ bs' can be understood as the do expression

do bs
   pure a

with an inferred Functor constraint.

Instances

Functor []

Since: base-2.1

Defined in GHC.Base

Methods

fmap :: (a -> b) -> [a] -> [b]

(<$) :: a -> [b] -> [a]

Functor Maybe

Since: base-2.1

Defined in GHC.Base

Methods

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

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

Functor IO

Since: base-2.1

Defined in GHC.Base

Methods

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

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

Functor Par1

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> Par1 a -> Par1 b

(<$) :: a -> Par1 b -> Par1 a

Functor Min

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

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

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

Functor Max

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

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

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

Functor First

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

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

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

Functor Last

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

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

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

Functor Option

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

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

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

Functor ZipList

Since: base-2.1

Defined in Control.Applicative

Methods

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

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

Functor Identity

Since: base-4.8.0.0

Defined in Data.Functor.Identity

Methods

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

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

Functor Handler

Since: base-4.6.0.0

Defined in Control.Exception

Methods

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

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

Functor STM

Since: base-4.3.0.0

Defined in GHC.Conc.Sync

Methods

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

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

Functor First

Since: base-4.8.0.0

Defined in Data.Monoid

Methods

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

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

Functor Last

Since: base-4.8.0.0

Defined in Data.Monoid

Methods

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

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

Functor Dual

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

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

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

Functor Sum

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

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

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

Functor Product

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

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

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

Functor Down

Since: base-4.11.0.0

Defined in Data.Ord

Methods

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

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

Functor ReadP

Since: base-2.1

Defined in Text.ParserCombinators.ReadP

Methods

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

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

Functor NonEmpty

Since: base-4.9.0.0

Defined in GHC.Base

Methods

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

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

Functor IntMap

Defined in Data.IntMap.Internal

Methods

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

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

Functor Seq

Defined in Data.Sequence.Internal

Methods

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

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

Functor FingerTree

Defined in Data.Sequence.Internal

Methods

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

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

Functor Digit

Defined in Data.Sequence.Internal

Methods

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

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

Functor Node

Defined in Data.Sequence.Internal

Methods

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

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

Functor Elem

Defined in Data.Sequence.Internal

Methods

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

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

Functor ViewL

Defined in Data.Sequence.Internal

Methods

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

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

Functor ViewR

Defined in Data.Sequence.Internal

Methods

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

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

Functor Vector

Defined in Data.Vector

Methods

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

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

Functor Doc

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

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

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

Functor AnnotDetails

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

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

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

Functor Span

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

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

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

Functor P

Since: base-4.8.0.0

Defined in Text.ParserCombinators.ReadP

Methods

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

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

Functor (Either a)

Since: base-3.0

Defined in Data.Either

Methods

fmap :: (a0 -> b) -> Either a a0 -> Either a b

(<$) :: a0 -> Either a b -> Either a a0

Functor (V1 :: Type -> Type)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> V1 a -> V1 b

(<$) :: a -> V1 b -> V1 a

Functor (U1 :: Type -> Type)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> U1 a -> U1 b

(<$) :: a -> U1 b -> U1 a

Functor ((,) a)

Since: base-2.1

Defined in GHC.Base

Methods

fmap :: (a0 -> b) -> (a, a0) -> (a, b)

(<$) :: a0 -> (a, b) -> (a, a0)

Functor f => Functor (Co f)

Defined in Data.Functor.Rep

Methods

fmap :: (a -> b) -> Co f a -> Co f b

(<$) :: a -> Co f b -> Co f a

Functor (Arg a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

fmap :: (a0 -> b) -> Arg a a0 -> Arg a b

(<$) :: a0 -> Arg a b -> Arg a a0

Monad m => Functor (WrappedMonad m)

Since: base-2.1

Defined in Control.Applicative

Methods

fmap :: (a -> b) -> WrappedMonad m a -> WrappedMonad m b

(<$) :: a -> WrappedMonad m b -> WrappedMonad m a

Arrow a => Functor (ArrowMonad a)

Since: base-4.6.0.0

Defined in Control.Arrow

Methods

fmap :: (a0 -> b) -> ArrowMonad a a0 -> ArrowMonad a b

(<$) :: a0 -> ArrowMonad a b -> ArrowMonad a a0

Functor (Proxy :: Type -> Type)

Since: base-4.7.0.0

Defined in Data.Proxy

Methods

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

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

Functor (Map k)

Defined in Data.Map.Internal

Methods

fmap :: (a -> b) -> Map k a -> Map k b

(<$) :: a -> Map k b -> Map k a

Functor m => Functor (MaybeT m)

Defined in Control.Monad.Trans.Maybe

Methods

fmap :: (a -> b) -> MaybeT m a -> MaybeT m b

(<$) :: a -> MaybeT m b -> MaybeT m a

Monad m => Functor (Handler m)

Defined in Control.Monad.Catch

Methods

fmap :: (a -> b) -> Handler m a -> Handler m b

(<$) :: a -> Handler m b -> Handler m a

Functor f => Functor (Cofree f)

Defined in Control.Comonad.Cofree

Methods

fmap :: (a -> b) -> Cofree f a -> Cofree f b

(<$) :: a -> Cofree f b -> Cofree f a

Functor f => Functor (Free f)

Defined in Control.Monad.Free

Methods

fmap :: (a -> b) -> Free f a -> Free f b

(<$) :: a -> Free f b -> Free f a

Functor (Yoneda f)

Defined in Data.Functor.Yoneda

Methods

fmap :: (a -> b) -> Yoneda f a -> Yoneda f b

(<$) :: a -> Yoneda f b -> Yoneda f a

Functor (HashMap k)

Defined in Data.HashMap.Internal

Methods

fmap :: (a -> b) -> HashMap k a -> HashMap k b

(<$) :: a -> HashMap k b -> HashMap k a

Functor (ReifiedGetter s)

Defined in Control.Lens.Reified

Methods

fmap :: (a -> b) -> ReifiedGetter s a -> ReifiedGetter s b

(<$) :: a -> ReifiedGetter s b -> ReifiedGetter s a

Functor (ReifiedFold s)

Defined in Control.Lens.Reified

Methods

fmap :: (a -> b) -> ReifiedFold s a -> ReifiedFold s b

(<$) :: a -> ReifiedFold s b -> ReifiedFold s a

Functor f => Functor (Indexing f)

Defined in Control.Lens.Internal.Indexed

Methods

fmap :: (a -> b) -> Indexing f a -> Indexing f b

(<$) :: a -> Indexing f b -> Indexing f a

Functor f => Functor (Indexing64 f)

Defined in Control.Lens.Internal.Indexed

Methods

fmap :: (a -> b) -> Indexing64 f a -> Indexing64 f b

(<$) :: a -> Indexing64 f b -> Indexing64 f a

Profunctor p => Functor (Prep p)

Defined in Data.Profunctor.Rep

Methods

fmap :: (a -> b) -> Prep p a -> Prep p b

(<$) :: a -> Prep p b -> Prep p a

Profunctor p => Functor (Coprep p)

Defined in Data.Profunctor.Rep

Methods

fmap :: (a -> b) -> Coprep p a -> Coprep p b

(<$) :: a -> Coprep p b -> Coprep p a

Functor f => Functor (Rec1 f)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> Rec1 f a -> Rec1 f b

(<$) :: a -> Rec1 f b -> Rec1 f a

Functor (URec Char :: Type -> Type)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Char a -> URec Char b

(<$) :: a -> URec Char b -> URec Char a

Functor (URec Double :: Type -> Type)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Double a -> URec Double b

(<$) :: a -> URec Double b -> URec Double a

Functor (URec Float :: Type -> Type)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Float a -> URec Float b

(<$) :: a -> URec Float b -> URec Float a

Functor (URec Int :: Type -> Type)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Int a -> URec Int b

(<$) :: a -> URec Int b -> URec Int a

Functor (URec Word :: Type -> Type)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Word a -> URec Word b

(<$) :: a -> URec Word b -> URec Word a

Functor (URec (Ptr ()) :: Type -> Type)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec (Ptr ()) a -> URec (Ptr ()) b

(<$) :: a -> URec (Ptr ()) b -> URec (Ptr ()) a

Functor ((,,) a b)

Since: base-4.14.0.0

Defined in GHC.Base

Methods

fmap :: (a0 -> b0) -> (a, b, a0) -> (a, b, b0)

(<$) :: a0 -> (a, b, b0) -> (a, b, a0)

Arrow a => Functor (WrappedArrow a b)

Since: base-2.1

Defined in Control.Applicative

Methods

fmap :: (a0 -> b0) -> WrappedArrow a b a0 -> WrappedArrow a b b0

(<$) :: a0 -> WrappedArrow a b b0 -> WrappedArrow a b a0

Functor m => Functor (Kleisli m a)

Since: base-4.14.0.0

Defined in Control.Arrow

Methods

fmap :: (a0 -> b) -> Kleisli m a a0 -> Kleisli m a b

(<$) :: a0 -> Kleisli m a b -> Kleisli m a a0

Functor (Const m :: Type -> Type)

Since: base-2.1

Defined in Data.Functor.Const

Methods

fmap :: (a -> b) -> Const m a -> Const m b

(<$) :: a -> Const m b -> Const m a

Functor f => Functor (Ap f)

Since: base-4.12.0.0

Defined in Data.Monoid

Methods

fmap :: (a -> b) -> Ap f a -> Ap f b

(<$) :: a -> Ap f b -> Ap f a

Functor f => Functor (Alt f)

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

fmap :: (a -> b) -> Alt f a -> Alt f b

(<$) :: a -> Alt f b -> Alt f a

Bifunctor p => Functor (Join p)

Defined in Data.Bifunctor.Join

Methods

fmap :: (a -> b) -> Join p a -> Join p b

(<$) :: a -> Join p b -> Join p a

Bifunctor p => Functor (Fix p)

Defined in Data.Bifunctor.Fix

Methods

fmap :: (a -> b) -> Fix p a -> Fix p b

(<$) :: a -> Fix p b -> Fix p a

Functor m => Functor (IdentityT m)

Defined in Control.Monad.Trans.Identity

Methods

fmap :: (a -> b) -> IdentityT m a -> IdentityT m b

(<$) :: a -> IdentityT m b -> IdentityT m a

(Applicative f, Monad f) => Functor (WhenMissing f x)

Since: containers-0.5.9

Defined in Data.IntMap.Internal

Methods

fmap :: (a -> b) -> WhenMissing f x a -> WhenMissing f x b

(<$) :: a -> WhenMissing f x b -> WhenMissing f x a

Functor m => Functor (ExceptT e m)

Defined in Control.Monad.Trans.Except

Methods

fmap :: (a -> b) -> ExceptT e m a -> ExceptT e m b

(<$) :: a -> ExceptT e m b -> ExceptT e m a

Functor f => Functor (FreeF f a)

Defined in Control.Monad.Trans.Free

Methods

fmap :: (a0 -> b) -> FreeF f a a0 -> FreeF f a b

(<$) :: a0 -> FreeF f a b -> FreeF f a a0

(Functor f, Monad m) => Functor (FreeT f m)

Defined in Control.Monad.Trans.Free

Methods

fmap :: (a -> b) -> FreeT f m a -> FreeT f m b

(<$) :: a -> FreeT f m b -> FreeT f m a

Functor f => Functor (CofreeF f a)

Defined in Control.Comonad.Trans.Cofree

Methods

fmap :: (a0 -> b) -> CofreeF f a a0 -> CofreeF f a b

(<$) :: a0 -> CofreeF f a b -> CofreeF f a a0

(Functor f, Functor w) => Functor (CofreeT f w)

Defined in Control.Comonad.Trans.Cofree

Methods

fmap :: (a -> b) -> CofreeT f w a -> CofreeT f w b

(<$) :: a -> CofreeT f w b -> CofreeT f w a

Functor (Day f g)

Defined in Data.Functor.Day

Methods

fmap :: (a -> b) -> Day f g a -> Day f g b

(<$) :: a -> Day f g b -> Day f g a

Functor m => Functor (ErrorT e m)

Defined in Control.Monad.Trans.Error

Methods

fmap :: (a -> b) -> ErrorT e m a -> ErrorT e m b

(<$) :: a -> ErrorT e m b -> ErrorT e m a

Functor m => Functor (StateT s m)

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

Functor (Tagged s)

Defined in Data.Tagged

Methods

fmap :: (a -> b) -> Tagged s a -> Tagged s b

(<$) :: a -> Tagged s b -> Tagged s a

Functor (ReifiedIndexedGetter i s)

Defined in Control.Lens.Reified

Methods

fmap :: (a -> b) -> ReifiedIndexedGetter i s a -> ReifiedIndexedGetter i s b

(<$) :: a -> ReifiedIndexedGetter i s b -> ReifiedIndexedGetter i s a

Functor (ReifiedIndexedFold i s)

Defined in Control.Lens.Reified

Methods

fmap :: (a -> b) -> ReifiedIndexedFold i s a -> ReifiedIndexedFold i s b

(<$) :: a -> ReifiedIndexedFold i s b -> ReifiedIndexedFold i s a

Functor (Indexed i a)

Defined in Control.Lens.Internal.Indexed

Methods

fmap :: (a0 -> b) -> Indexed i a a0 -> Indexed i a b

(<$) :: a0 -> Indexed i a b -> Indexed i a a0

Functor m => Functor (ReaderT r m)

Defined in Control.Monad.Trans.Reader

Methods

fmap :: (a -> b) -> ReaderT r m a -> ReaderT r m b

(<$) :: a -> ReaderT r m b -> ReaderT r m a

Monad m => Functor (Focusing m s)

Defined in Lens.Micro.Mtl.Internal

Methods

fmap :: (a -> b) -> Focusing m s a -> Focusing m s b

(<$) :: a -> Focusing m s b -> Focusing m s a

Functor (k (May s)) => Functor (FocusingMay k s)

Defined in Lens.Micro.Mtl.Internal

Methods

fmap :: (a -> b) -> FocusingMay k s a -> FocusingMay k s b

(<$) :: a -> FocusingMay k s b -> FocusingMay k s a

Functor (Effect m r)

Defined in Lens.Micro.Mtl.Internal

Methods

fmap :: (a -> b) -> Effect m r a -> Effect m r b

(<$) :: a -> Effect m r b -> Effect m r a

Functor f => Functor (ApplicativeBoolean f)

Defined in Morley.Prelude.Boolean

Methods

fmap :: (a -> b) -> ApplicativeBoolean f a -> ApplicativeBoolean f b

(<$) :: a -> ApplicativeBoolean f b -> ApplicativeBoolean f a

Functor ((->) r :: Type -> Type)

Since: base-2.1

Defined in GHC.Base

Methods

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

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

Functor (K1 i c :: Type -> Type)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> K1 i c a -> K1 i c b

(<$) :: a -> K1 i c b -> K1 i c a

(Functor f, Functor g) => Functor (f :+: g)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> (f :+: g) a -> (f :+: g) b

(<$) :: a -> (f :+: g) b -> (f :+: g) a

(Functor f, Functor g) => Functor (f :*: g)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> (f :*: g) a -> (f :*: g) b

(<$) :: a -> (f :*: g) b -> (f :*: g) a

Functor ((,,,) a b c)

Since: base-4.14.0.0

Defined in GHC.Base

Methods

fmap :: (a0 -> b0) -> (a, b, c, a0) -> (a, b, c, b0)

(<$) :: a0 -> (a, b, c, b0) -> (a, b, c, a0)

Functor f => Functor (WhenMatched f x y)

Since: containers-0.5.9

Defined in Data.IntMap.Internal

Methods

fmap :: (a -> b) -> WhenMatched f x y a -> WhenMatched f x y b

(<$) :: a -> WhenMatched f x y b -> WhenMatched f x y a

(Applicative f, Monad f) => Functor (WhenMissing f k x)

Since: containers-0.5.9

Defined in Data.Map.Internal

Methods

fmap :: (a -> b) -> WhenMissing f k x a -> WhenMissing f k x b

(<$) :: a -> WhenMissing f k x b -> WhenMissing f k x a

Monad m => Functor (FocusingWith w m s)

Defined in Lens.Micro.Mtl.Internal

Methods

fmap :: (a -> b) -> FocusingWith w m s a -> FocusingWith w m s b

(<$) :: a -> FocusingWith w m s b -> FocusingWith w m s a

Functor (k (s, w)) => Functor (FocusingPlus w k s)

Defined in Lens.Micro.Mtl.Internal

Methods

fmap :: (a -> b) -> FocusingPlus w k s a -> FocusingPlus w k s b

(<$) :: a -> FocusingPlus w k s b -> FocusingPlus w k s a

Functor (k (f s)) => Functor (FocusingOn f k s)

Defined in Lens.Micro.Mtl.Internal

Methods

fmap :: (a -> b) -> FocusingOn f k s a -> FocusingOn f k s b

(<$) :: a -> FocusingOn f k s b -> FocusingOn f k s a

Functor (k (Err e s)) => Functor (FocusingErr e k s)

Defined in Lens.Micro.Mtl.Internal

Methods

fmap :: (a -> b) -> FocusingErr e k s a -> FocusingErr e k s b

(<$) :: a -> FocusingErr e k s b -> FocusingErr e k s a

Profunctor p => Functor (Procompose p q a)

Defined in Data.Profunctor.Composition

Methods

fmap :: (a0 -> b) -> Procompose p q a a0 -> Procompose p q a b

(<$) :: a0 -> Procompose p q a b -> Procompose p q a a0

Profunctor p => Functor (Rift p q a)

Defined in Data.Profunctor.Composition

Methods

fmap :: (a0 -> b) -> Rift p q a a0 -> Rift p q a b

(<$) :: a0 -> Rift p q a b -> Rift p q a a0

Functor f => Functor (M1 i c f)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> M1 i c f a -> M1 i c f b

(<$) :: a -> M1 i c f b -> M1 i c f a

(Functor f, Functor g) => Functor (f :.: g)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> (f :.: g) a -> (f :.: g) b

(<$) :: a -> (f :.: g) b -> (f :.: g) a

(Functor f, Functor g) => Functor (Compose f g)

Since: base-4.9.0.0

Defined in Data.Functor.Compose

Methods

fmap :: (a -> b) -> Compose f g a -> Compose f g b

(<$) :: a -> Compose f g b -> Compose f g a

Bifunctor p => Functor (WrappedBifunctor p a)

Defined in Data.Bifunctor.Wrapped

Methods

fmap :: (a0 -> b) -> WrappedBifunctor p a a0 -> WrappedBifunctor p a b

(<$) :: a0 -> WrappedBifunctor p a b -> WrappedBifunctor p a a0

Functor g => Functor (Joker g a)

Defined in Data.Bifunctor.Joker

Methods

fmap :: (a0 -> b) -> Joker g a a0 -> Joker g a b

(<$) :: a0 -> Joker g a b -> Joker g a a0

Bifunctor p => Functor (Flip p a)

Defined in Data.Bifunctor.Flip

Methods

fmap :: (a0 -> b) -> Flip p a a0 -> Flip p a b

(<$) :: a0 -> Flip p a b -> Flip p a a0

Functor (Clown f a :: Type -> Type)

Defined in Data.Bifunctor.Clown

Methods

fmap :: (a0 -> b) -> Clown f a a0 -> Clown f a b

(<$) :: a0 -> Clown f a b -> Clown f a a0

Functor f => Functor (WhenMatched f k x y)

Since: containers-0.5.9

Defined in Data.Map.Internal

Methods

fmap :: (a -> b) -> WhenMatched f k x y a -> WhenMatched f k x y b

(<$) :: a -> WhenMatched f k x y b -> WhenMatched f k x y a

Functor (EffectRWS w st m s)

Defined in Lens.Micro.Mtl.Internal

Methods

fmap :: (a -> b) -> EffectRWS w st m s a -> EffectRWS w st m s b

(<$) :: a -> EffectRWS w st m s b -> EffectRWS w st m s a

Reifies s (ReifiedApplicative f) => Functor (ReflectedApplicative f s)

Defined in Data.Reflection

Methods

fmap :: (a -> b) -> ReflectedApplicative f s a -> ReflectedApplicative f s b

(<$) :: a -> ReflectedApplicative f s b -> ReflectedApplicative f s a

(Functor f, Bifunctor p) => Functor (Tannen f p a)

Defined in Data.Bifunctor.Tannen

Methods

fmap :: (a0 -> b) -> Tannen f p a a0 -> Tannen f p a b

(<$) :: a0 -> Tannen f p a b -> Tannen f p a a0

(Bifunctor p, Functor g) => Functor (Biff p f g a)

Defined in Data.Bifunctor.Biff

Methods

fmap :: (a0 -> b) -> Biff p f g a a0 -> Biff p f g a b

(<$) :: a0 -> Biff p f g a b -> Biff p f g a a0

class Num a where

Basic numeric class.

The Haskell Report defines no laws for Num. However, (+) and (*) are customarily expected to define a ring and have the following properties:

Associativity of (+)

(x + y) + z = x + (y + z)

Commutativity of (+)

x + y = y + x

fromInteger 0 is the additive identity

x + fromInteger 0 = x

negate gives the additive inverse

x + negate x = fromInteger 0

Associativity of (*)

(x * y) * z = x * (y * z)

fromInteger 1 is the multiplicative identity

x * fromInteger 1 = x and fromInteger 1 * x = x

Distributivity of (*) with respect to (+)

a * (b + c) = (a * b) + (a * c) and (b + c) * a = (b * a) + (c * a)

Note that it isn't customarily expected that a type instance of both Num and Ord implement an ordered ring. Indeed, in base only Integer and Rational do.

Minimal complete definition

(+), (*), abs, signum, fromInteger, (negate | (-))

Methods

(+) :: a -> a -> a infixl 6

(-) :: a -> a -> a infixl 6

(*) :: a -> a -> a infixl 7

negate :: a -> a

Unary negation.

abs :: a -> a

Absolute value.

signum :: a -> a

Sign of a number. The functions abs and signum should satisfy the law:

abs x * signum x == x

For real numbers, the signum is either -1 (negative), 0 (zero) or 1 (positive).

fromInteger :: Integer -> a

Conversion from an Integer. An integer literal represents the application of the function fromInteger to the appropriate value of type Integer, so such literals have type (Num a) => a.

Instances

Num Int

Since: base-2.1

Defined in GHC.Num

Methods

(+) :: Int -> Int -> Int

(-) :: Int -> Int -> Int

(*) :: Int -> Int -> Int

negate :: Int -> Int

abs :: Int -> Int

signum :: Int -> Int

fromInteger :: Integer -> Int

Num Int8

Since: base-2.1

Defined in GHC.Int

Methods

(+) :: Int8 -> Int8 -> Int8

(-) :: Int8 -> Int8 -> Int8

(*) :: Int8 -> Int8 -> Int8

negate :: Int8 -> Int8

abs :: Int8 -> Int8

signum :: Int8 -> Int8

fromInteger :: Integer -> Int8

Num Int16

Since: base-2.1

Defined in GHC.Int

Methods

(+) :: Int16 -> Int16 -> Int16

(-) :: Int16 -> Int16 -> Int16

(*) :: Int16 -> Int16 -> Int16

negate :: Int16 -> Int16

abs :: Int16 -> Int16

signum :: Int16 -> Int16

fromInteger :: Integer -> Int16

Num Int32

Since: base-2.1

Defined in GHC.Int

Methods

(+) :: Int32 -> Int32 -> Int32

(-) :: Int32 -> Int32 -> Int32

(*) :: Int32 -> Int32 -> Int32

negate :: Int32 -> Int32

abs :: Int32 -> Int32

signum :: Int32 -> Int32

fromInteger :: Integer -> Int32

Num Int64

Since: base-2.1

Defined in GHC.Int

Methods

(+) :: Int64 -> Int64 -> Int64

(-) :: Int64 -> Int64 -> Int64

(*) :: Int64 -> Int64 -> Int64

negate :: Int64 -> Int64

abs :: Int64 -> Int64

signum :: Int64 -> Int64

fromInteger :: Integer -> Int64

Num Integer

Since: base-2.1

Defined in GHC.Num

Methods

(+) :: Integer -> Integer -> Integer

(-) :: Integer -> Integer -> Integer

(*) :: Integer -> Integer -> Integer

negate :: Integer -> Integer

abs :: Integer -> Integer

signum :: Integer -> Integer

fromInteger :: Integer -> Integer

Num Natural

Note that Natural's Num instance isn't a ring: no element but 0 has an additive inverse. It is a semiring though.

Since: base-4.8.0.0

Defined in GHC.Num

Methods

(+) :: Natural -> Natural -> Natural

(-) :: Natural -> Natural -> Natural

(*) :: Natural -> Natural -> Natural

negate :: Natural -> Natural

abs :: Natural -> Natural

signum :: Natural -> Natural

fromInteger :: Integer -> Natural

Num Word

Since: base-2.1

Defined in GHC.Num

Methods

(+) :: Word -> Word -> Word

(-) :: Word -> Word -> Word

(*) :: Word -> Word -> Word

negate :: Word -> Word

abs :: Word -> Word

signum :: Word -> Word

fromInteger :: Integer -> Word

Num Word8

Since: base-2.1

Defined in GHC.Word

Methods

(+) :: Word8 -> Word8 -> Word8

(-) :: Word8 -> Word8 -> Word8

(*) :: Word8 -> Word8 -> Word8

negate :: Word8 -> Word8

abs :: Word8 -> Word8

signum :: Word8 -> Word8

fromInteger :: Integer -> Word8

Num Word16

Since: base-2.1

Defined in GHC.Word

Methods

(+) :: Word16 -> Word16 -> Word16

(-) :: Word16 -> Word16 -> Word16

(*) :: Word16 -> Word16 -> Word16

negate :: Word16 -> Word16

abs :: Word16 -> Word16

signum :: Word16 -> Word16

fromInteger :: Integer -> Word16

Num Word32

Since: base-2.1

Defined in GHC.Word

Methods

(+) :: Word32 -> Word32 -> Word32

(-) :: Word32 -> Word32 -> Word32

(*) :: Word32 -> Word32 -> Word32

negate :: Word32 -> Word32

abs :: Word32 -> Word32

signum :: Word32 -> Word32

fromInteger :: Integer -> Word32

Num Word64

Since: base-2.1

Defined in GHC.Word

Methods

(+) :: Word64 -> Word64 -> Word64

(-) :: Word64 -> Word64 -> Word64

(*) :: Word64 -> Word64 -> Word64

negate :: Word64 -> Word64

abs :: Word64 -> Word64

signum :: Word64 -> Word64

fromInteger :: Integer -> Word64

Num CodePoint

Defined in Data.Text.Encoding

Methods

(+) :: CodePoint -> CodePoint -> CodePoint

(-) :: CodePoint -> CodePoint -> CodePoint

(*) :: CodePoint -> CodePoint -> CodePoint

negate :: CodePoint -> CodePoint

abs :: CodePoint -> CodePoint

signum :: CodePoint -> CodePoint

fromInteger :: Integer -> CodePoint

Num DecoderState

Defined in Data.Text.Encoding

Methods

(+) :: DecoderState -> DecoderState -> DecoderState

(-) :: DecoderState -> DecoderState -> DecoderState

(*) :: DecoderState -> DecoderState -> DecoderState

negate :: DecoderState -> DecoderState

abs :: DecoderState -> DecoderState

signum :: DecoderState -> DecoderState

fromInteger :: Integer -> DecoderState

Integral a => Num (Ratio a)

Since: base-2.0.1

Defined in GHC.Real

Methods

(+) :: Ratio a -> Ratio a -> Ratio a

(-) :: Ratio a -> Ratio a -> Ratio a

(*) :: Ratio a -> Ratio a -> Ratio a

negate :: Ratio a -> Ratio a

abs :: Ratio a -> Ratio a

signum :: Ratio a -> Ratio a

fromInteger :: Integer -> Ratio a

Num a => Num (Min a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

(+) :: Min a -> Min a -> Min a

(-) :: Min a -> Min a -> Min a

(*) :: Min a -> Min a -> Min a

negate :: Min a -> Min a

abs :: Min a -> Min a

signum :: Min a -> Min a

fromInteger :: Integer -> Min a

Num a => Num (Max a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

(+) :: Max a -> Max a -> Max a

(-) :: Max a -> Max a -> Max a

(*) :: Max a -> Max a -> Max a

negate :: Max a -> Max a

abs :: Max a -> Max a

signum :: Max a -> Max a

fromInteger :: Integer -> Max a

Num a => Num (Identity a)

Since: base-4.9.0.0

Defined in Data.Functor.Identity

Methods

(+) :: Identity a -> Identity a -> Identity a

(-) :: Identity a -> Identity a -> Identity a

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

negate :: Identity a -> Identity a

abs :: Identity a -> Identity a

signum :: Identity a -> Identity a

fromInteger :: Integer -> Identity a

Num a => Num (Sum a)

Since: base-4.7.0.0

Defined in Data.Semigroup.Internal

Methods

(+) :: Sum a -> Sum a -> Sum a

(-) :: Sum a -> Sum a -> Sum a

(*) :: Sum a -> Sum a -> Sum a

negate :: Sum a -> Sum a

abs :: Sum a -> Sum a

signum :: Sum a -> Sum a

fromInteger :: Integer -> Sum a

Num a => Num (Product a)

Since: base-4.7.0.0

Defined in Data.Semigroup.Internal

Methods

(+) :: Product a -> Product a -> Product a

(-) :: Product a -> Product a -> Product a

(*) :: Product a -> Product a -> Product a

negate :: Product a -> Product a

abs :: Product a -> Product a

signum :: Product a -> Product a

fromInteger :: Integer -> Product a

Num a => Num (Down a)

Since: base-4.11.0.0

Defined in Data.Ord

Methods

(+) :: Down a -> Down a -> Down a

(-) :: Down a -> Down a -> Down a

(*) :: Down a -> Down a -> Down a

negate :: Down a -> Down a

abs :: Down a -> Down a

signum :: Down a -> Down a

fromInteger :: Integer -> Down a

Num a => Num (Const a b)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Methods

(+) :: Const a b -> Const a b -> Const a b

(-) :: Const a b -> Const a b -> Const a b

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

negate :: Const a b -> Const a b

abs :: Const a b -> Const a b

signum :: Const a b -> Const a b

fromInteger :: Integer -> Const a b

(Applicative f, Num a) => Num (Ap f a)

Since: base-4.12.0.0

Defined in Data.Monoid

Methods

(+) :: Ap f a -> Ap f a -> Ap f a

(-) :: Ap f a -> Ap f a -> Ap f a

(*) :: Ap f a -> Ap f a -> Ap f a

negate :: Ap f a -> Ap f a

abs :: Ap f a -> Ap f a

signum :: Ap f a -> Ap f a

fromInteger :: Integer -> Ap f a

Num (f a) => Num (Alt f a)

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

(+) :: Alt f a -> Alt f a -> Alt f a

(-) :: Alt f a -> Alt f a -> Alt f a

(*) :: Alt f a -> Alt f a -> Alt f a

negate :: Alt f a -> Alt f a

abs :: Alt f a -> Alt f a

signum :: Alt f a -> Alt f a

fromInteger :: Integer -> Alt f a

Num a => Num (Tagged s a)

Defined in Data.Tagged

Methods

(+) :: Tagged s a -> Tagged s a -> Tagged s a

(-) :: Tagged s a -> Tagged s a -> Tagged s a

(*) :: Tagged s a -> Tagged s a -> Tagged s a

negate :: Tagged s a -> Tagged s a

abs :: Tagged s a -> Tagged s a

signum :: Tagged s a -> Tagged s a

fromInteger :: Integer -> Tagged s a

class Eq a => Ord a where

The Ord class is used for totally ordered datatypes.

Instances of Ord can be derived for any user-defined datatype whose constituent types are in Ord. The declared order of the constructors in the data declaration determines the ordering in derived Ord instances. The Ordering datatype allows a single comparison to determine the precise ordering of two objects.

The Haskell Report defines no laws for Ord. However, <= is customarily expected to implement a non-strict partial order and have the following properties:

Transitivity

if x <= y && y <= z = True, then x <= z = True

Reflexivity

x <= x = True

Antisymmetry

if x <= y && y <= x = True, then x == y = True

Note that the following operator interactions are expected to hold:

1. x >= y = y <= x
2. x < y = x <= y && x /= y
3. x > y = y < x
4. x < y = compare x y == LT
5. x > y = compare x y == GT
6. x == y = compare x y == EQ
7. min x y == if x <= y then x else y = True
8. max x y == if x >= y then x else y = True

Note that (7.) and (8.) do not require min and max to return either of their arguments. The result is merely required to equal one of the arguments in terms of (==).

Minimal complete definition: either compare or <=. Using compare can be more efficient for complex types.

Minimal complete definition

compare | (<=)

Methods

compare :: a -> a -> Ordering

(<) :: a -> a -> Bool infix 4

(<=) :: a -> a -> Bool infix 4

(>) :: a -> a -> Bool infix 4

(>=) :: a -> a -> Bool infix 4

max :: a -> a -> a

min :: a -> a -> a

Instances

Ord Bool

Defined in GHC.Classes

Methods

compare :: Bool -> Bool -> Ordering

(<) :: Bool -> Bool -> Bool

(<=) :: Bool -> Bool -> Bool

(>) :: Bool -> Bool -> Bool

(>=) :: Bool -> Bool -> Bool

max :: Bool -> Bool -> Bool

min :: Bool -> Bool -> Bool

Ord Char

Defined in GHC.Classes

Methods

compare :: Char -> Char -> Ordering

(<) :: Char -> Char -> Bool

(<=) :: Char -> Char -> Bool

(>) :: Char -> Char -> Bool

(>=) :: Char -> Char -> Bool

max :: Char -> Char -> Char

min :: Char -> Char -> Char

Ord Double

Note that due to the presence of NaN, Double's Ord instance does not satisfy reflexivity.

>>> 0/0 <= (0/0 :: Double)
False

Also note that, due to the same, Ord's operator interactions are not respected by Double's instance:

>>> (0/0 :: Double) > 1
False
>>> compare (0/0 :: Double) 1
GT

Defined in GHC.Classes

Methods

compare :: Double -> Double -> Ordering

(<) :: Double -> Double -> Bool

(<=) :: Double -> Double -> Bool

(>) :: Double -> Double -> Bool

(>=) :: Double -> Double -> Bool

max :: Double -> Double -> Double

min :: Double -> Double -> Double

Ord Float

Note that due to the presence of NaN, Float's Ord instance does not satisfy reflexivity.

>>> 0/0 <= (0/0 :: Float)
False

Also note that, due to the same, Ord's operator interactions are not respected by Float's instance:

>>> (0/0 :: Float) > 1
False
>>> compare (0/0 :: Float) 1
GT

Defined in GHC.Classes

Methods

compare :: Float -> Float -> Ordering

(<) :: Float -> Float -> Bool

(<=) :: Float -> Float -> Bool

(>) :: Float -> Float -> Bool

(>=) :: Float -> Float -> Bool

max :: Float -> Float -> Float

min :: Float -> Float -> Float

Ord Int

Defined in GHC.Classes

Methods

compare :: Int -> Int -> Ordering

(<) :: Int -> Int -> Bool

(<=) :: Int -> Int -> Bool

(>) :: Int -> Int -> Bool

(>=) :: Int -> Int -> Bool

max :: Int -> Int -> Int

min :: Int -> Int -> Int

Ord Int8

Since: base-2.1

Defined in GHC.Int

Methods

compare :: Int8 -> Int8 -> Ordering

(<) :: Int8 -> Int8 -> Bool

(<=) :: Int8 -> Int8 -> Bool

(>) :: Int8 -> Int8 -> Bool

(>=) :: Int8 -> Int8 -> Bool

max :: Int8 -> Int8 -> Int8

min :: Int8 -> Int8 -> Int8

Ord Int16

Since: base-2.1

Defined in GHC.Int

Methods

compare :: Int16 -> Int16 -> Ordering

(<) :: Int16 -> Int16 -> Bool

(<=) :: Int16 -> Int16 -> Bool

(>) :: Int16 -> Int16 -> Bool

(>=) :: Int16 -> Int16 -> Bool

max :: Int16 -> Int16 -> Int16

min :: Int16 -> Int16 -> Int16

Ord Int32

Since: base-2.1

Defined in GHC.Int

Methods

compare :: Int32 -> Int32 -> Ordering

(<) :: Int32 -> Int32 -> Bool

(<=) :: Int32 -> Int32 -> Bool

(>) :: Int32 -> Int32 -> Bool

(>=) :: Int32 -> Int32 -> Bool

max :: Int32 -> Int32 -> Int32

min :: Int32 -> Int32 -> Int32

Ord Int64

Since: base-2.1

Defined in GHC.Int

Methods

compare :: Int64 -> Int64 -> Ordering

(<) :: Int64 -> Int64 -> Bool

(<=) :: Int64 -> Int64 -> Bool

(>) :: Int64 -> Int64 -> Bool

(>=) :: Int64 -> Int64 -> Bool

max :: Int64 -> Int64 -> Int64

min :: Int64 -> Int64 -> Int64

Ord Integer

Defined in GHC.Integer.Type

Methods

compare :: Integer -> Integer -> Ordering

(<) :: Integer -> Integer -> Bool

(<=) :: Integer -> Integer -> Bool

(>) :: Integer -> Integer -> Bool

(>=) :: Integer -> Integer -> Bool

max :: Integer -> Integer -> Integer

min :: Integer -> Integer -> Integer

Ord Natural

Since: base-4.8.0.0

Defined in GHC.Natural

Methods

compare :: Natural -> Natural -> Ordering

(<) :: Natural -> Natural -> Bool

(<=) :: Natural -> Natural -> Bool

(>) :: Natural -> Natural -> Bool

(>=) :: Natural -> Natural -> Bool

max :: Natural -> Natural -> Natural

min :: Natural -> Natural -> Natural

Ord Ordering

Defined in GHC.Classes

Methods

compare :: Ordering -> Ordering -> Ordering

(<) :: Ordering -> Ordering -> Bool

(<=) :: Ordering -> Ordering -> Bool

(>) :: Ordering -> Ordering -> Bool

(>=) :: Ordering -> Ordering -> Bool

max :: Ordering -> Ordering -> Ordering

min :: Ordering -> Ordering -> Ordering

Ord Word

Defined in GHC.Classes

Methods

compare :: Word -> Word -> Ordering

(<) :: Word -> Word -> Bool

(<=) :: Word -> Word -> Bool

(>) :: Word -> Word -> Bool

(>=) :: Word -> Word -> Bool

max :: Word -> Word -> Word

min :: Word -> Word -> Word

Ord Word8

Since: base-2.1

Defined in GHC.Word

Methods

compare :: Word8 -> Word8 -> Ordering

(<) :: Word8 -> Word8 -> Bool

(<=) :: Word8 -> Word8 -> Bool

(>) :: Word8 -> Word8 -> Bool

(>=) :: Word8 -> Word8 -> Bool

max :: Word8 -> Word8 -> Word8

min :: Word8 -> Word8 -> Word8

Ord Word16

Since: base-2.1

Defined in GHC.Word

Methods

compare :: Word16 -> Word16 -> Ordering

(<) :: Word16 -> Word16 -> Bool

(<=) :: Word16 -> Word16 -> Bool

(>) :: Word16 -> Word16 -> Bool

(>=) :: Word16 -> Word16 -> Bool

max :: Word16 -> Word16 -> Word16

min :: Word16 -> Word16 -> Word16

Ord Word32

Since: base-2.1

Defined in GHC.Word

Methods

compare :: Word32 -> Word32 -> Ordering

(<) :: Word32 -> Word32 -> Bool

(<=) :: Word32 -> Word32 -> Bool

(>) :: Word32 -> Word32 -> Bool

(>=) :: Word32 -> Word32 -> Bool

max :: Word32 -> Word32 -> Word32

min :: Word32 -> Word32 -> Word32

Ord Word64

Since: base-2.1

Defined in GHC.Word

Methods

compare :: Word64 -> Word64 -> Ordering

(<) :: Word64 -> Word64 -> Bool

(<=) :: Word64 -> Word64 -> Bool

(>) :: Word64 -> Word64 -> Bool

(>=) :: Word64 -> Word64 -> Bool

max :: Word64 -> Word64 -> Word64

min :: Word64 -> Word64 -> Word64

Ord SomeTypeRep

Defined in Data.Typeable.Internal

Methods

compare :: SomeTypeRep -> SomeTypeRep -> Ordering

(<) :: SomeTypeRep -> SomeTypeRep -> Bool

(<=) :: SomeTypeRep -> SomeTypeRep -> Bool

(>) :: SomeTypeRep -> SomeTypeRep -> Bool

(>=) :: SomeTypeRep -> SomeTypeRep -> Bool

max :: SomeTypeRep -> SomeTypeRep -> SomeTypeRep

min :: SomeTypeRep -> SomeTypeRep -> SomeTypeRep

Ord ()

Defined in GHC.Classes

Methods

compare :: () -> () -> Ordering

(<) :: () -> () -> Bool

(<=) :: () -> () -> Bool

(>) :: () -> () -> Bool

(>=) :: () -> () -> Bool

max :: () -> () -> ()

min :: () -> () -> ()

Ord TyCon

Defined in GHC.Classes

Methods

compare :: TyCon -> TyCon -> Ordering

(<) :: TyCon -> TyCon -> Bool

(<=) :: TyCon -> TyCon -> Bool

(>) :: TyCon -> TyCon -> Bool

(>=) :: TyCon -> TyCon -> Bool

max :: TyCon -> TyCon -> TyCon

min :: TyCon -> TyCon -> TyCon

Ord Void

Since: base-4.8.0.0

Defined in Data.Void

Methods

compare :: Void -> Void -> Ordering

(<) :: Void -> Void -> Bool

(<=) :: Void -> Void -> Bool

(>) :: Void -> Void -> Bool

(>=) :: Void -> Void -> Bool

max :: Void -> Void -> Void

min :: Void -> Void -> Void

Ord Version

Since: base-2.1

Defined in Data.Version

Methods

compare :: Version -> Version -> Ordering

(<) :: Version -> Version -> Bool

(<=) :: Version -> Version -> Bool

(>) :: Version -> Version -> Bool

(>=) :: Version -> Version -> Bool

max :: Version -> Version -> Version

min :: Version -> Version -> Version

Ord ThreadId

Since: base-4.2.0.0

Defined in GHC.Conc.Sync

Methods

compare :: ThreadId -> ThreadId -> Ordering

(<) :: ThreadId -> ThreadId -> Bool

(<=) :: ThreadId -> ThreadId -> Bool

(>) :: ThreadId -> ThreadId -> Bool

(>=) :: ThreadId -> ThreadId -> Bool

max :: ThreadId -> ThreadId -> ThreadId

min :: ThreadId -> ThreadId -> ThreadId

Ord BlockReason

Since: base-4.3.0.0

Defined in GHC.Conc.Sync

Methods

compare :: BlockReason -> BlockReason -> Ordering

(<) :: BlockReason -> BlockReason -> Bool

(<=) :: BlockReason -> BlockReason -> Bool

(>) :: BlockReason -> BlockReason -> Bool

(>=) :: BlockReason -> BlockReason -> Bool

max :: BlockReason -> BlockReason -> BlockReason

min :: BlockReason -> BlockReason -> BlockReason

Ord ThreadStatus

Since: base-4.3.0.0

Defined in GHC.Conc.Sync

Methods

compare :: ThreadStatus -> ThreadStatus -> Ordering

(<) :: ThreadStatus -> ThreadStatus -> Bool

(<=) :: ThreadStatus -> ThreadStatus -> Bool

(>) :: ThreadStatus -> ThreadStatus -> Bool

(>=) :: ThreadStatus -> ThreadStatus -> Bool

max :: ThreadStatus -> ThreadStatus -> ThreadStatus

min :: ThreadStatus -> ThreadStatus -> ThreadStatus

Ord AsyncException

Since: base-4.2.0.0

Defined in GHC.IO.Exception

Methods

compare :: AsyncException -> AsyncException -> Ordering

(<) :: AsyncException -> AsyncException -> Bool

(<=) :: AsyncException -> AsyncException -> Bool

(>) :: AsyncException -> AsyncException -> Bool

(>=) :: AsyncException -> AsyncException -> Bool

max :: AsyncException -> AsyncException -> AsyncException

min :: AsyncException -> AsyncException -> AsyncException

Ord ArrayException

Since: base-4.2.0.0

Defined in GHC.IO.Exception

Methods

compare :: ArrayException -> ArrayException -> Ordering

(<) :: ArrayException -> ArrayException -> Bool

(<=) :: ArrayException -> ArrayException -> Bool

(>) :: ArrayException -> ArrayException -> Bool

(>=) :: ArrayException -> ArrayException -> Bool

max :: ArrayException -> ArrayException -> ArrayException

min :: ArrayException -> ArrayException -> ArrayException

Ord ExitCode

Defined in GHC.IO.Exception

Methods

compare :: ExitCode -> ExitCode -> Ordering

(<) :: ExitCode -> ExitCode -> Bool

(<=) :: ExitCode -> ExitCode -> Bool

(>) :: ExitCode -> ExitCode -> Bool

(>=) :: ExitCode -> ExitCode -> Bool

max :: ExitCode -> ExitCode -> ExitCode

min :: ExitCode -> ExitCode -> ExitCode

Ord BufferMode

Since: base-4.2.0.0

Defined in GHC.IO.Handle.Types

Methods

compare :: BufferMode -> BufferMode -> Ordering

(<) :: BufferMode -> BufferMode -> Bool

(<=) :: BufferMode -> BufferMode -> Bool

(>) :: BufferMode -> BufferMode -> Bool

(>=) :: BufferMode -> BufferMode -> Bool

max :: BufferMode -> BufferMode -> BufferMode

min :: BufferMode -> BufferMode -> BufferMode

Ord Newline

Since: base-4.3.0.0

Defined in GHC.IO.Handle.Types

Methods

compare :: Newline -> Newline -> Ordering

(<) :: Newline -> Newline -> Bool

(<=) :: Newline -> Newline -> Bool

(>) :: Newline -> Newline -> Bool

(>=) :: Newline -> Newline -> Bool

max :: Newline -> Newline -> Newline

min :: Newline -> Newline -> Newline

Ord NewlineMode

Since: base-4.3.0.0

Defined in GHC.IO.Handle.Types

Methods

compare :: NewlineMode -> NewlineMode -> Ordering

(<) :: NewlineMode -> NewlineMode -> Bool

(<=) :: NewlineMode -> NewlineMode -> Bool

(>) :: NewlineMode -> NewlineMode -> Bool

(>=) :: NewlineMode -> NewlineMode -> Bool

max :: NewlineMode -> NewlineMode -> NewlineMode

min :: NewlineMode -> NewlineMode -> NewlineMode

Ord ErrorCall

Since: base-4.7.0.0

Defined in GHC.Exception

Methods

compare :: ErrorCall -> ErrorCall -> Ordering

(<) :: ErrorCall -> ErrorCall -> Bool

(<=) :: ErrorCall -> ErrorCall -> Bool

(>) :: ErrorCall -> ErrorCall -> Bool

(>=) :: ErrorCall -> ErrorCall -> Bool

max :: ErrorCall -> ErrorCall -> ErrorCall

min :: ErrorCall -> ErrorCall -> ErrorCall

Ord ArithException

Since: base-3.0

Defined in GHC.Exception.Type

Methods

compare :: ArithException -> ArithException -> Ordering

(<) :: ArithException -> ArithException -> Bool

(<=) :: ArithException -> ArithException -> Bool

(>) :: ArithException -> ArithException -> Bool

(>=) :: ArithException -> ArithException -> Bool

max :: ArithException -> ArithException -> ArithException

min :: ArithException -> ArithException -> ArithException

Ord All

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

compare :: All -> All -> Ordering

(<) :: All -> All -> Bool

(<=) :: All -> All -> Bool

(>) :: All -> All -> Bool

(>=) :: All -> All -> Bool

max :: All -> All -> All

min :: All -> All -> All

Ord Any

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

compare :: Any -> Any -> Ordering

(<) :: Any -> Any -> Bool

(<=) :: Any -> Any -> Bool

(>) :: Any -> Any -> Bool

(>=) :: Any -> Any -> Bool

max :: Any -> Any -> Any

min :: Any -> Any -> Any

Ord Fixity

Since: base-4.6.0.0

Defined in GHC.Generics

Methods

compare :: Fixity -> Fixity -> Ordering

(<) :: Fixity -> Fixity -> Bool

(<=) :: Fixity -> Fixity -> Bool

(>) :: Fixity -> Fixity -> Bool

(>=) :: Fixity -> Fixity -> Bool

max :: Fixity -> Fixity -> Fixity

min :: Fixity -> Fixity -> Fixity

Ord Associativity

Since: base-4.6.0.0

Defined in GHC.Generics

Methods

compare :: Associativity -> Associativity -> Ordering

(<) :: Associativity -> Associativity -> Bool

(<=) :: Associativity -> Associativity -> Bool

(>) :: Associativity -> Associativity -> Bool

(>=) :: Associativity -> Associativity -> Bool

max :: Associativity -> Associativity -> Associativity

min :: Associativity -> Associativity -> Associativity

Ord SourceUnpackedness

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

compare :: SourceUnpackedness -> SourceUnpackedness -> Ordering

(<) :: SourceUnpackedness -> SourceUnpackedness -> Bool

(<=) :: SourceUnpackedness -> SourceUnpackedness -> Bool

(>) :: SourceUnpackedness -> SourceUnpackedness -> Bool

(>=) :: SourceUnpackedness -> SourceUnpackedness -> Bool

max :: SourceUnpackedness -> SourceUnpackedness -> SourceUnpackedness

min :: SourceUnpackedness -> SourceUnpackedness -> SourceUnpackedness

Ord SourceStrictness

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

compare :: SourceStrictness -> SourceStrictness -> Ordering

(<) :: SourceStrictness -> SourceStrictness -> Bool

(<=) :: SourceStrictness -> SourceStrictness -> Bool

(>) :: SourceStrictness -> SourceStrictness -> Bool

(>=) :: SourceStrictness -> SourceStrictness -> Bool

max :: SourceStrictness -> SourceStrictness -> SourceStrictness

min :: SourceStrictness -> SourceStrictness -> SourceStrictness

Ord DecidedStrictness

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

compare :: DecidedStrictness -> DecidedStrictness -> Ordering

(<) :: DecidedStrictness -> DecidedStrictness -> Bool

(<=) :: DecidedStrictness -> DecidedStrictness -> Bool

(>) :: DecidedStrictness -> DecidedStrictness -> Bool

(>=) :: DecidedStrictness -> DecidedStrictness -> Bool

max :: DecidedStrictness -> DecidedStrictness -> DecidedStrictness

min :: DecidedStrictness -> DecidedStrictness -> DecidedStrictness

Ord SomeNat

Since: base-4.7.0.0

Defined in GHC.TypeNats

Methods

compare :: SomeNat -> SomeNat -> Ordering

(<) :: SomeNat -> SomeNat -> Bool

(<=) :: SomeNat -> SomeNat -> Bool

(>) :: SomeNat -> SomeNat -> Bool

(>=) :: SomeNat -> SomeNat -> Bool

max :: SomeNat -> SomeNat -> SomeNat

min :: SomeNat -> SomeNat -> SomeNat

Ord IOMode

Since: base-4.2.0.0

Defined in GHC.IO.IOMode

Methods

compare :: IOMode -> IOMode -> Ordering

(<) :: IOMode -> IOMode -> Bool

(<=) :: IOMode -> IOMode -> Bool

(>) :: IOMode -> IOMode -> Bool

(>=) :: IOMode -> IOMode -> Bool

max :: IOMode -> IOMode -> IOMode

min :: IOMode -> IOMode -> IOMode

Ord ByteString

Defined in Data.ByteString.Internal

Methods

compare :: ByteString -> ByteString -> Ordering

(<) :: ByteString -> ByteString -> Bool

(<=) :: ByteString -> ByteString -> Bool

(>) :: ByteString -> ByteString -> Bool

(>=) :: ByteString -> ByteString -> Bool

max :: ByteString -> ByteString -> ByteString

min :: ByteString -> ByteString -> ByteString

Ord IntSet

Defined in Data.IntSet.Internal

Methods

compare :: IntSet -> IntSet -> Ordering

(<) :: IntSet -> IntSet -> Bool

(<=) :: IntSet -> IntSet -> Bool

(>) :: IntSet -> IntSet -> Bool

(>=) :: IntSet -> IntSet -> Bool

max :: IntSet -> IntSet -> IntSet

min :: IntSet -> IntSet -> IntSet

Ord BigNat

Defined in GHC.Integer.Type

Methods

compare :: BigNat -> BigNat -> Ordering

(<) :: BigNat -> BigNat -> Bool

(<=) :: BigNat -> BigNat -> Bool

(>) :: BigNat -> BigNat -> Bool

(>=) :: BigNat -> BigNat -> Bool

max :: BigNat -> BigNat -> BigNat

min :: BigNat -> BigNat -> BigNat

Ord DatatypeVariant

Defined in Language.Haskell.TH.Datatype

Methods

compare :: DatatypeVariant -> DatatypeVariant -> Ordering

(<) :: DatatypeVariant -> DatatypeVariant -> Bool

(<=) :: DatatypeVariant -> DatatypeVariant -> Bool

(>) :: DatatypeVariant -> DatatypeVariant -> Bool

(>=) :: DatatypeVariant -> DatatypeVariant -> Bool

max :: DatatypeVariant -> DatatypeVariant -> DatatypeVariant

min :: DatatypeVariant -> DatatypeVariant -> DatatypeVariant

Ord ConstructorVariant

Defined in Language.Haskell.TH.Datatype

Methods

compare :: ConstructorVariant -> ConstructorVariant -> Ordering

(<) :: ConstructorVariant -> ConstructorVariant -> Bool

(<=) :: ConstructorVariant -> ConstructorVariant -> Bool

(>) :: ConstructorVariant -> ConstructorVariant -> Bool

(>=) :: ConstructorVariant -> ConstructorVariant -> Bool

max :: ConstructorVariant -> ConstructorVariant -> ConstructorVariant

min :: ConstructorVariant -> ConstructorVariant -> ConstructorVariant

Ord FieldStrictness

Defined in Language.Haskell.TH.Datatype

Methods

compare :: FieldStrictness -> FieldStrictness -> Ordering

(<) :: FieldStrictness -> FieldStrictness -> Bool

(<=) :: FieldStrictness -> FieldStrictness -> Bool

(>) :: FieldStrictness -> FieldStrictness -> Bool

(>=) :: FieldStrictness -> FieldStrictness -> Bool

max :: FieldStrictness -> FieldStrictness -> FieldStrictness

min :: FieldStrictness -> FieldStrictness -> FieldStrictness

Ord Unpackedness

Defined in Language.Haskell.TH.Datatype

Methods

compare :: Unpackedness -> Unpackedness -> Ordering

(<) :: Unpackedness -> Unpackedness -> Bool

(<=) :: Unpackedness -> Unpackedness -> Bool

(>) :: Unpackedness -> Unpackedness -> Bool

(>=) :: Unpackedness -> Unpackedness -> Bool

max :: Unpackedness -> Unpackedness -> Unpackedness

min :: Unpackedness -> Unpackedness -> Unpackedness

Ord Strictness

Defined in Language.Haskell.TH.Datatype

Methods

compare :: Strictness -> Strictness -> Ordering

(<) :: Strictness -> Strictness -> Bool

(<=) :: Strictness -> Strictness -> Bool

(>) :: Strictness -> Strictness -> Bool

(>=) :: Strictness -> Strictness -> Bool

max :: Strictness -> Strictness -> Strictness

min :: Strictness -> Strictness -> Strictness

Ord Specificity

Defined in Language.Haskell.TH.Datatype.TyVarBndr

Methods

compare :: Specificity -> Specificity -> Ordering

(<) :: Specificity -> Specificity -> Bool

(<=) :: Specificity -> Specificity -> Bool

(>) :: Specificity -> Specificity -> Bool

(>=) :: Specificity -> Specificity -> Bool

max :: Specificity -> Specificity -> Specificity

min :: Specificity -> Specificity -> Specificity

Ord Undefined

Defined in Universum.Debug

Methods

compare :: Undefined -> Undefined -> Ordering

(<) :: Undefined -> Undefined -> Bool

(<=) :: Undefined -> Undefined -> Bool

(>) :: Undefined -> Undefined -> Bool

(>=) :: Undefined -> Undefined -> Bool

max :: Undefined -> Undefined -> Undefined

min :: Undefined -> Undefined -> Undefined

Ord a => Ord [a]

Defined in GHC.Classes

Methods

compare :: [a] -> [a] -> Ordering

(<) :: [a] -> [a] -> Bool

(<=) :: [a] -> [a] -> Bool

(>) :: [a] -> [a] -> Bool

(>=) :: [a] -> [a] -> Bool

max :: [a] -> [a] -> [a]

min :: [a] -> [a] -> [a]

Ord a => Ord (Maybe a)

Since: base-2.1

Defined in GHC.Maybe

Methods

compare :: Maybe a -> Maybe a -> Ordering

(<) :: Maybe a -> Maybe a -> Bool

(<=) :: Maybe a -> Maybe a -> Bool

(>) :: Maybe a -> Maybe a -> Bool

(>=) :: Maybe a -> Maybe a -> Bool

max :: Maybe a -> Maybe a -> Maybe a

min :: Maybe a -> Maybe a -> Maybe a

Integral a => Ord (Ratio a)

Since: base-2.0.1

Defined in GHC.Real

Methods

compare :: Ratio a -> Ratio a -> Ordering

(<) :: Ratio a -> Ratio a -> Bool

(<=) :: Ratio a -> Ratio a -> Bool

(>) :: Ratio a -> Ratio a -> Bool

(>=) :: Ratio a -> Ratio a -> Bool

max :: Ratio a -> Ratio a -> Ratio a

min :: Ratio a -> Ratio a -> Ratio a

Ord (Ptr a)

Since: base-2.1

Defined in GHC.Ptr

Methods

compare :: Ptr a -> Ptr a -> Ordering

(<) :: Ptr a -> Ptr a -> Bool

(<=) :: Ptr a -> Ptr a -> Bool

(>) :: Ptr a -> Ptr a -> Bool

(>=) :: Ptr a -> Ptr a -> Bool

max :: Ptr a -> Ptr a -> Ptr a

min :: Ptr a -> Ptr a -> Ptr a

Ord (FunPtr a)

Defined in GHC.Ptr

Methods

compare :: FunPtr a -> FunPtr a -> Ordering

(<) :: FunPtr a -> FunPtr a -> Bool

(<=) :: FunPtr a -> FunPtr a -> Bool

(>) :: FunPtr a -> FunPtr a -> Bool

(>=) :: FunPtr a -> FunPtr a -> Bool

max :: FunPtr a -> FunPtr a -> FunPtr a

min :: FunPtr a -> FunPtr a -> FunPtr a

Ord p => Ord (Par1 p)

Since: base-4.7.0.0

Defined in GHC.Generics

Methods

compare :: Par1 p -> Par1 p -> Ordering

(<) :: Par1 p -> Par1 p -> Bool

(<=) :: Par1 p -> Par1 p -> Bool

(>) :: Par1 p -> Par1 p -> Bool

(>=) :: Par1 p -> Par1 p -> Bool

max :: Par1 p -> Par1 p -> Par1 p

min :: Par1 p -> Par1 p -> Par1 p

Ord a => Ord (Min a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

compare :: Min a -> Min a -> Ordering

(<) :: Min a -> Min a -> Bool

(<=) :: Min a -> Min a -> Bool

(>) :: Min a -> Min a -> Bool

(>=) :: Min a -> Min a -> Bool

max :: Min a -> Min a -> Min a

min :: Min a -> Min a -> Min a

Ord a => Ord (Max a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

compare :: Max a -> Max a -> Ordering

(<) :: Max a -> Max a -> Bool

(<=) :: Max a -> Max a -> Bool

(>) :: Max a -> Max a -> Bool

(>=) :: Max a -> Max a -> Bool

max :: Max a -> Max a -> Max a

min :: Max a -> Max a -> Max a

Ord a => Ord (First a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

compare :: First a -> First a -> Ordering

(<) :: First a -> First a -> Bool

(<=) :: First a -> First a -> Bool

(>) :: First a -> First a -> Bool

(>=) :: First a -> First a -> Bool

max :: First a -> First a -> First a

min :: First a -> First a -> First a

Ord a => Ord (Last a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

compare :: Last a -> Last a -> Ordering

(<) :: Last a -> Last a -> Bool

(<=) :: Last a -> Last a -> Bool

(>) :: Last a -> Last a -> Bool

(>=) :: Last a -> Last a -> Bool

max :: Last a -> Last a -> Last a

min :: Last a -> Last a -> Last a

Ord m => Ord (WrappedMonoid m)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

compare :: WrappedMonoid m -> WrappedMonoid m -> Ordering

(<) :: WrappedMonoid m -> WrappedMonoid m -> Bool

(<=) :: WrappedMonoid m -> WrappedMonoid m -> Bool

(>) :: WrappedMonoid m -> WrappedMonoid m -> Bool

(>=) :: WrappedMonoid m -> WrappedMonoid m -> Bool

max :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m

min :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m

Ord a => Ord (Option a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

compare :: Option a -> Option a -> Ordering

(<) :: Option a -> Option a -> Bool

(<=) :: Option a -> Option a -> Bool

(>) :: Option a -> Option a -> Bool

(>=) :: Option a -> Option a -> Bool

max :: Option a -> Option a -> Option a

min :: Option a -> Option a -> Option a

Ord a => Ord (ZipList a)

Since: base-4.7.0.0

Defined in Control.Applicative

Methods

compare :: ZipList a -> ZipList a -> Ordering

(<) :: ZipList a -> ZipList a -> Bool

(<=) :: ZipList a -> ZipList a -> Bool

(>) :: ZipList a -> ZipList a -> Bool

(>=) :: ZipList a -> ZipList a -> Bool

max :: ZipList a -> ZipList a -> ZipList a

min :: ZipList a -> ZipList a -> ZipList a

Ord a => Ord (Identity a)

Since: base-4.8.0.0

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

Ord a => Ord (First a)

Since: base-2.1

Defined in Data.Monoid

Methods

compare :: First a -> First a -> Ordering

(<) :: First a -> First a -> Bool

(<=) :: First a -> First a -> Bool

(>) :: First a -> First a -> Bool

(>=) :: First a -> First a -> Bool

max :: First a -> First a -> First a

min :: First a -> First a -> First a

Ord a => Ord (Last a)

Since: base-2.1

Defined in Data.Monoid

Methods

compare :: Last a -> Last a -> Ordering

(<) :: Last a -> Last a -> Bool

(<=) :: Last a -> Last a -> Bool

(>) :: Last a -> Last a -> Bool

(>=) :: Last a -> Last a -> Bool

max :: Last a -> Last a -> Last a

min :: Last a -> Last a -> Last a

Ord a => Ord (Dual a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

compare :: Dual a -> Dual a -> Ordering

(<) :: Dual a -> Dual a -> Bool

(<=) :: Dual a -> Dual a -> Bool

(>) :: Dual a -> Dual a -> Bool

(>=) :: Dual a -> Dual a -> Bool

max :: Dual a -> Dual a -> Dual a

min :: Dual a -> Dual a -> Dual a

Ord a => Ord (Sum a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

compare :: Sum a -> Sum a -> Ordering

(<) :: Sum a -> Sum a -> Bool

(<=) :: Sum a -> Sum a -> Bool

(>) :: Sum a -> Sum a -> Bool

(>=) :: Sum a -> Sum a -> Bool

max :: Sum a -> Sum a -> Sum a

min :: Sum a -> Sum a -> Sum a

Ord a => Ord (Product a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

compare :: Product a -> Product a -> Ordering

(<) :: Product a -> Product a -> Bool

(<=) :: Product a -> Product a -> Bool

(>) :: Product a -> Product a -> Bool

(>=) :: Product a -> Product a -> Bool

max :: Product a -> Product a -> Product a

min :: Product a -> Product a -> Product a

Ord a => Ord (Down a)

Since: base-4.6.0.0

Defined in Data.Ord

Methods

compare :: Down a -> Down a -> Ordering

(<) :: Down a -> Down a -> Bool

(<=) :: Down a -> Down a -> Bool

(>) :: Down a -> Down a -> Bool

(>=) :: Down a -> Down a -> Bool

max :: Down a -> Down a -> Down a

min :: Down a -> Down a -> Down a

Ord a => Ord (NonEmpty a)

Since: base-4.9.0.0

Defined in GHC.Base

Methods

compare :: NonEmpty a -> NonEmpty a -> Ordering

(<) :: NonEmpty a -> NonEmpty a -> Bool

(<=) :: NonEmpty a -> NonEmpty a -> Bool

(>) :: NonEmpty a -> NonEmpty a -> Bool

(>=) :: NonEmpty a -> NonEmpty a -> Bool

max :: NonEmpty a -> NonEmpty a -> NonEmpty a

min :: NonEmpty a -> NonEmpty a -> NonEmpty a

Ord a => Ord (IntMap a)

Defined in Data.IntMap.Internal

Methods

compare :: IntMap a -> IntMap a -> Ordering

(<) :: IntMap a -> IntMap a -> Bool

(<=) :: IntMap a -> IntMap a -> Bool

(>) :: IntMap a -> IntMap a -> Bool

(>=) :: IntMap a -> IntMap a -> Bool

max :: IntMap a -> IntMap a -> IntMap a

min :: IntMap a -> IntMap a -> IntMap a

Ord a => Ord (Seq a)

Defined in Data.Sequence.Internal

Methods

compare :: Seq a -> Seq a -> Ordering

(<) :: Seq a -> Seq a -> Bool

(<=) :: Seq a -> Seq a -> Bool

(>) :: Seq a -> Seq a -> Bool

(>=) :: Seq a -> Seq a -> Bool

max :: Seq a -> Seq a -> Seq a

min :: Seq a -> Seq a -> Seq a

Ord a => Ord (ViewL a)

Defined in Data.Sequence.Internal

Methods

compare :: ViewL a -> ViewL a -> Ordering

(<) :: ViewL a -> ViewL a -> Bool

(<=) :: ViewL a -> ViewL a -> Bool

(>) :: ViewL a -> ViewL a -> Bool

(>=) :: ViewL a -> ViewL a -> Bool

max :: ViewL a -> ViewL a -> ViewL a

min :: ViewL a -> ViewL a -> ViewL a

Ord a => Ord (ViewR a)

Defined in Data.Sequence.Internal

Methods

compare :: ViewR a -> ViewR a -> Ordering

(<) :: ViewR a -> ViewR a -> Bool

(<=) :: ViewR a -> ViewR a -> Bool

(>) :: ViewR a -> ViewR a -> Bool

(>=) :: ViewR a -> ViewR a -> Bool

max :: ViewR a -> ViewR a -> ViewR a

min :: ViewR a -> ViewR a -> ViewR a

Ord a => Ord (Set a)

Defined in Data.Set.Internal

Methods

compare :: Set a -> Set a -> Ordering

(<) :: Set a -> Set a -> Bool

(<=) :: Set a -> Set a -> Bool

(>) :: Set a -> Set a -> Bool

(>=) :: Set a -> Set a -> Bool

max :: Set a -> Set a -> Set a

min :: Set a -> Set a -> Set a

Ord a => Ord (Hashed a)

Defined in Data.Hashable.Class

Methods

compare :: Hashed a -> Hashed a -> Ordering

(<) :: Hashed a -> Hashed a -> Bool

(<=) :: Hashed a -> Hashed a -> Bool

(>) :: Hashed a -> Hashed a -> Bool

(>=) :: Hashed a -> Hashed a -> Bool

max :: Hashed a -> Hashed a -> Hashed a

min :: Hashed a -> Hashed a -> Hashed a

Ord a => Ord (HashSet a)

Defined in Data.HashSet.Internal

Methods

compare :: HashSet a -> HashSet a -> Ordering

(<) :: HashSet a -> HashSet a -> Bool

(<=) :: HashSet a -> HashSet a -> Bool

(>) :: HashSet a -> HashSet a -> Bool

(>=) :: HashSet a -> HashSet a -> Bool

max :: HashSet a -> HashSet a -> HashSet a

min :: HashSet a -> HashSet a -> HashSet a

Ord a => Ord (Vector a)

Defined in Data.Vector

Methods

compare :: Vector a -> Vector a -> Ordering

(<) :: Vector a -> Vector a -> Bool

(<=) :: Vector a -> Vector a -> Bool

(>) :: Vector a -> Vector a -> Bool

(>=) :: Vector a -> Vector a -> Bool

max :: Vector a -> Vector a -> Vector a

min :: Vector a -> Vector a -> Vector a

(Ord a, Ord b) => Ord (Either a b)

Since: base-2.1

Defined in Data.Either

Methods

compare :: Either a b -> Either a b -> Ordering

(<) :: Either a b -> Either a b -> Bool

(<=) :: Either a b -> Either a b -> Bool

(>) :: Either a b -> Either a b -> Bool

(>=) :: Either a b -> Either a b -> Bool

max :: Either a b -> Either a b -> Either a b

min :: Either a b -> Either a b -> Either a b

Ord (V1 p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

compare :: V1 p -> V1 p -> Ordering

(<) :: V1 p -> V1 p -> Bool

(<=) :: V1 p -> V1 p -> Bool

(>) :: V1 p -> V1 p -> Bool

(>=) :: V1 p -> V1 p -> Bool

max :: V1 p -> V1 p -> V1 p

min :: V1 p -> V1 p -> V1 p

Ord (U1 p)

Since: base-4.7.0.0

Defined in GHC.Generics

Methods

compare :: U1 p -> U1 p -> Ordering

(<) :: U1 p -> U1 p -> Bool

(<=) :: U1 p -> U1 p -> Bool

(>) :: U1 p -> U1 p -> Bool

(>=) :: U1 p -> U1 p -> Bool

max :: U1 p -> U1 p -> U1 p

min :: U1 p -> U1 p -> U1 p

Ord (TypeRep a)

Since: base-4.4.0.0

Defined in Data.Typeable.Internal

Methods

compare :: TypeRep a -> TypeRep a -> Ordering

(<) :: TypeRep a -> TypeRep a -> Bool

(<=) :: TypeRep a -> TypeRep a -> Bool

(>) :: TypeRep a -> TypeRep a -> Bool

(>=) :: TypeRep a -> TypeRep a -> Bool

max :: TypeRep a -> TypeRep a -> TypeRep a

min :: TypeRep a -> TypeRep a -> TypeRep a

(Ord a, Ord b) => Ord (a, b)

Defined in GHC.Classes

Methods

compare :: (a, b) -> (a, b) -> Ordering

(<) :: (a, b) -> (a, b) -> Bool

(<=) :: (a, b) -> (a, b) -> Bool

(>) :: (a, b) -> (a, b) -> Bool

(>=) :: (a, b) -> (a, b) -> Bool

max :: (a, b) -> (a, b) -> (a, b)

min :: (a, b) -> (a, b) -> (a, b)

Ord a => Ord (Arg a b)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

compare :: Arg a b -> Arg a b -> Ordering

(<) :: Arg a b -> Arg a b -> Bool

(<=) :: Arg a b -> Arg a b -> Bool

(>) :: Arg a b -> Arg a b -> Bool

(>=) :: Arg a b -> Arg a b -> Bool

max :: Arg a b -> Arg a b -> Arg a b

min :: Arg a b -> Arg a b -> Arg a b

Ord (Proxy s)

Since: base-4.7.0.0

Defined in Data.Proxy

Methods

compare :: Proxy s -> Proxy s -> Ordering

(<) :: Proxy s -> Proxy s -> Bool

(<=) :: Proxy s -> Proxy s -> Bool

(>) :: Proxy s -> Proxy s -> Bool

(>=) :: Proxy s -> Proxy s -> Bool

max :: Proxy s -> Proxy s -> Proxy s

min :: Proxy s -> Proxy s -> Proxy s

(Ord k, Ord v) => Ord (Map k v)

Defined in Data.Map.Internal

Methods

compare :: Map k v -> Map k v -> Ordering

(<) :: Map k v -> Map k v -> Bool

(<=) :: Map k v -> Map k v -> Bool

(>) :: Map k v -> Map k v -> Bool

(>=) :: Map k v -> Map k v -> Bool

max :: Map k v -> Map k v -> Map k v

min :: Map k v -> Map k v -> Map k v

(Ord1 m, Ord a) => Ord (MaybeT m a)

Defined in Control.Monad.Trans.Maybe

Methods

compare :: MaybeT m a -> MaybeT m a -> Ordering

(<) :: MaybeT m a -> MaybeT m a -> Bool

(<=) :: MaybeT m a -> MaybeT m a -> Bool

(>) :: MaybeT m a -> MaybeT m a -> Bool

(>=) :: MaybeT m a -> MaybeT m a -> Bool

max :: MaybeT m a -> MaybeT m a -> MaybeT m a

min :: MaybeT m a -> MaybeT m a -> MaybeT m a

(Ord1 f, Ord a) => Ord (Cofree f a)

Defined in Control.Comonad.Cofree

Methods

compare :: Cofree f a -> Cofree f a -> Ordering

(<) :: Cofree f a -> Cofree f a -> Bool

(<=) :: Cofree f a -> Cofree f a -> Bool

(>) :: Cofree f a -> Cofree f a -> Bool

(>=) :: Cofree f a -> Cofree f a -> Bool

max :: Cofree f a -> Cofree f a -> Cofree f a

min :: Cofree f a -> Cofree f a -> Cofree f a

(Ord1 f, Ord a) => Ord (Free f a)

Defined in Control.Monad.Free

Methods

compare :: Free f a -> Free f a -> Ordering

(<) :: Free f a -> Free f a -> Bool

(<=) :: Free f a -> Free f a -> Bool

(>) :: Free f a -> Free f a -> Bool

(>=) :: Free f a -> Free f a -> Bool

max :: Free f a -> Free f a -> Free f a

min :: Free f a -> Free f a -> Free f a

(Ord1 f, Ord a) => Ord (Yoneda f a)

Defined in Data.Functor.Yoneda

Methods

compare :: Yoneda f a -> Yoneda f a -> Ordering

(<) :: Yoneda f a -> Yoneda f a -> Bool

(<=) :: Yoneda f a -> Yoneda f a -> Bool

(>) :: Yoneda f a -> Yoneda f a -> Bool

(>=) :: Yoneda f a -> Yoneda f a -> Bool

max :: Yoneda f a -> Yoneda f a -> Yoneda f a

min :: Yoneda f a -> Yoneda f a -> Yoneda f a

(Ord k, Ord v) => Ord (HashMap k v)

The ordering is total and consistent with the Eq instance. However, nothing else about the ordering is specified, and it may change from version to version of either this package or of hashable.

Defined in Data.HashMap.Internal

Methods

compare :: HashMap k v -> HashMap k v -> Ordering

(<) :: HashMap k v -> HashMap k v -> Bool

(<=) :: HashMap k v -> HashMap k v -> Bool

(>) :: HashMap k v -> HashMap k v -> Bool

(>=) :: HashMap k v -> HashMap k v -> Bool

max :: HashMap k v -> HashMap k v -> HashMap k v

min :: HashMap k v -> HashMap k v -> HashMap k v

Ord (f p) => Ord (Rec1 f p)

Since: base-4.7.0.0

Defined in GHC.Generics

Methods

compare :: Rec1 f p -> Rec1 f p -> Ordering

(<) :: Rec1 f p -> Rec1 f p -> Bool

(<=) :: Rec1 f p -> Rec1 f p -> Bool

(>) :: Rec1 f p -> Rec1 f p -> Bool

(>=) :: Rec1 f p -> Rec1 f p -> Bool

max :: Rec1 f p -> Rec1 f p -> Rec1 f p

min :: Rec1 f p -> Rec1 f p -> Rec1 f p

Ord (URec (Ptr ()) p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

compare :: URec (Ptr ()) p -> URec (Ptr ()) p -> Ordering

(<) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool

(<=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool

(>) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool

(>=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool

max :: URec (Ptr ()) p -> URec (Ptr ()) p -> URec (Ptr ()) p

min :: URec (Ptr ()) p -> URec (Ptr ()) p -> URec (Ptr ()) p

Ord (URec Char p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

compare :: URec Char p -> URec Char p -> Ordering

(<) :: URec Char p -> URec Char p -> Bool

(<=) :: URec Char p -> URec Char p -> Bool

(>) :: URec Char p -> URec Char p -> Bool

(>=) :: URec Char p -> URec Char p -> Bool

max :: URec Char p -> URec Char p -> URec Char p

min :: URec Char p -> URec Char p -> URec Char p

Ord (URec Double p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

compare :: URec Double p -> URec Double p -> Ordering

(<) :: URec Double p -> URec Double p -> Bool

(<=) :: URec Double p -> URec Double p -> Bool

(>) :: URec Double p -> URec Double p -> Bool

(>=) :: URec Double p -> URec Double p -> Bool

max :: URec Double p -> URec Double p -> URec Double p

min :: URec Double p -> URec Double p -> URec Double p

Ord (URec Float p)

Defined in GHC.Generics

Methods

compare :: URec Float p -> URec Float p -> Ordering

(<) :: URec Float p -> URec Float p -> Bool

(<=) :: URec Float p -> URec Float p -> Bool

(>) :: URec Float p -> URec Float p -> Bool

(>=) :: URec Float p -> URec Float p -> Bool

max :: URec Float p -> URec Float p -> URec Float p

min :: URec Float p -> URec Float p -> URec Float p

Ord (URec Int p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

compare :: URec Int p -> URec Int p -> Ordering

(<) :: URec Int p -> URec Int p -> Bool

(<=) :: URec Int p -> URec Int p -> Bool

(>) :: URec Int p -> URec Int p -> Bool

(>=) :: URec Int p -> URec Int p -> Bool

max :: URec Int p -> URec Int p -> URec Int p

min :: URec Int p -> URec Int p -> URec Int p

Ord (URec Word p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

compare :: URec Word p -> URec Word p -> Ordering

(<) :: URec Word p -> URec Word p -> Bool

(<=) :: URec Word p -> URec Word p -> Bool

(>) :: URec Word p -> URec Word p -> Bool

(>=) :: URec Word p -> URec Word p -> Bool

max :: URec Word p -> URec Word p -> URec Word p

min :: URec Word p -> URec Word p -> URec Word p

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

Defined in GHC.Classes

Methods

compare :: (a, b, c) -> (a, b, c) -> Ordering

(<) :: (a, b, c) -> (a, b, c) -> Bool

(<=) :: (a, b, c) -> (a, b, c) -> Bool

(>) :: (a, b, c) -> (a, b, c) -> Bool

(>=) :: (a, b, c) -> (a, b, c) -> Bool

max :: (a, b, c) -> (a, b, c) -> (a, b, c)

min :: (a, b, c) -> (a, b, c) -> (a, b, c)

Ord a => Ord (Const a b)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Methods

compare :: Const a b -> Const a b -> Ordering

(<) :: Const a b -> Const a b -> Bool

(<=) :: Const a b -> Const a b -> Bool

(>) :: Const a b -> Const a b -> Bool

(>=) :: Const a b -> Const a b -> Bool

max :: Const a b -> Const a b -> Const a b

min :: Const a b -> Const a b -> Const a b

Ord (f a) => Ord (Ap f a)

Since: base-4.12.0.0

Defined in Data.Monoid

Methods

compare :: Ap f a -> Ap f a -> Ordering

(<) :: Ap f a -> Ap f a -> Bool

(<=) :: Ap f a -> Ap f a -> Bool

(>) :: Ap f a -> Ap f a -> Bool

(>=) :: Ap f a -> Ap f a -> Bool

max :: Ap f a -> Ap f a -> Ap f a

min :: Ap f a -> Ap f a -> Ap f a

Ord (f a) => Ord (Alt f a)

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

compare :: Alt f a -> Alt f a -> Ordering

(<) :: Alt f a -> Alt f a -> Bool

(<=) :: Alt f a -> Alt f a -> Bool

(>) :: Alt f a -> Alt f a -> Bool

(>=) :: Alt f a -> Alt f a -> Bool

max :: Alt f a -> Alt f a -> Alt f a

min :: Alt f a -> Alt f a -> Alt f a

Ord (p a a) => Ord (Join p a)

Defined in Data.Bifunctor.Join

Methods

compare :: Join p a -> Join p a -> Ordering

(<) :: Join p a -> Join p a -> Bool

(<=) :: Join p a -> Join p a -> Bool

(>) :: Join p a -> Join p a -> Bool

(>=) :: Join p a -> Join p a -> Bool

max :: Join p a -> Join p a -> Join p a

min :: Join p a -> Join p a -> Join p a

Ord (p (Fix p a) a) => Ord (Fix p a)

Defined in Data.Bifunctor.Fix

Methods

compare :: Fix p a -> Fix p a -> Ordering

(<) :: Fix p a -> Fix p a -> Bool

(<=) :: Fix p a -> Fix p a -> Bool

(>) :: Fix p a -> Fix p a -> Bool

(>=) :: Fix p a -> Fix p a -> Bool

max :: Fix p a -> Fix p a -> Fix p a

min :: Fix p a -> Fix p a -> Fix p a

(Ord1 f, Ord a) => Ord (IdentityT f a)

Defined in Control.Monad.Trans.Identity

Methods

compare :: IdentityT f a -> IdentityT f a -> Ordering

(<) :: IdentityT f a -> IdentityT f a -> Bool

(<=) :: IdentityT f a -> IdentityT f a -> Bool

(>) :: IdentityT f a -> IdentityT f a -> Bool

(>=) :: IdentityT f a -> IdentityT f a -> Bool

max :: IdentityT f a -> IdentityT f a -> IdentityT f a

min :: IdentityT f a -> IdentityT f a -> IdentityT f a

(Ord e, Ord1 m, Ord a) => Ord (ExceptT e m a)

Defined in Control.Monad.Trans.Except

Methods

compare :: ExceptT e m a -> ExceptT e m a -> Ordering

(<) :: ExceptT e m a -> ExceptT e m a -> Bool

(<=) :: ExceptT e m a -> ExceptT e m a -> Bool

(>) :: ExceptT e m a -> ExceptT e m a -> Bool

(>=) :: ExceptT e m a -> ExceptT e m a -> Bool

max :: ExceptT e m a -> ExceptT e m a -> ExceptT e m a

min :: ExceptT e m a -> ExceptT e m a -> ExceptT e m a

(Ord a, Ord (f b)) => Ord (FreeF f a b)

Defined in Control.Monad.Trans.Free

Methods

compare :: FreeF f a b -> FreeF f a b -> Ordering

(<) :: FreeF f a b -> FreeF f a b -> Bool

(<=) :: FreeF f a b -> FreeF f a b -> Bool

(>) :: FreeF f a b -> FreeF f a b -> Bool

(>=) :: FreeF f a b -> FreeF f a b -> Bool

max :: FreeF f a b -> FreeF f a b -> FreeF f a b

min :: FreeF f a b -> FreeF f a b -> FreeF f a b

(Ord1 f, Ord1 m, Ord a) => Ord (FreeT f m a)

Defined in Control.Monad.Trans.Free

Methods

compare :: FreeT f m a -> FreeT f m a -> Ordering

(<) :: FreeT f m a -> FreeT f m a -> Bool

(<=) :: FreeT f m a -> FreeT f m a -> Bool

(>) :: FreeT f m a -> FreeT f m a -> Bool

(>=) :: FreeT f m a -> FreeT f m a -> Bool

max :: FreeT f m a -> FreeT f m a -> FreeT f m a

min :: FreeT f m a -> FreeT f m a -> FreeT f m a

(Ord a, Ord (f b)) => Ord (CofreeF f a b)

Defined in Control.Comonad.Trans.Cofree

Methods

compare :: CofreeF f a b -> CofreeF f a b -> Ordering

(<) :: CofreeF f a b -> CofreeF f a b -> Bool

(<=) :: CofreeF f a b -> CofreeF f a b -> Bool

(>) :: CofreeF f a b -> CofreeF f a b -> Bool

(>=) :: CofreeF f a b -> CofreeF f a b -> Bool

max :: CofreeF f a b -> CofreeF f a b -> CofreeF f a b

min :: CofreeF f a b -> CofreeF f a b -> CofreeF f a b

Ord (w (CofreeF f a (CofreeT f w a))) => Ord (CofreeT f w a)

Defined in Control.Comonad.Trans.Cofree

Methods

compare :: CofreeT f w a -> CofreeT f w a -> Ordering

(<) :: CofreeT f w a -> CofreeT f w a -> Bool

(<=) :: CofreeT f w a -> CofreeT f w a -> Bool

(>) :: CofreeT f w a -> CofreeT f w a -> Bool

(>=) :: CofreeT f w a -> CofreeT f w a -> Bool

max :: CofreeT f w a -> CofreeT f w a -> CofreeT f w a

min :: CofreeT f w a -> CofreeT f w a -> CofreeT f w a

(Ord e, Ord1 m, Ord a) => Ord (ErrorT e m a)

Defined in Control.Monad.Trans.Error

Methods

compare :: ErrorT e m a -> ErrorT e m a -> Ordering

(<) :: ErrorT e m a -> ErrorT e m a -> Bool

(<=) :: ErrorT e m a -> ErrorT e m a -> Bool

(>) :: ErrorT e m a -> ErrorT e m a -> Bool

(>=) :: ErrorT e m a -> ErrorT e m a -> Bool

max :: ErrorT e m a -> ErrorT e m a -> ErrorT e m a

min :: ErrorT e m a -> ErrorT e m a -> ErrorT e m a

Ord b => Ord (Tagged s b)

Defined in Data.Tagged

Methods

compare :: Tagged s b -> Tagged s b -> Ordering

(<) :: Tagged s b -> Tagged s b -> Bool

(<=) :: Tagged s b -> Tagged s b -> Bool

(>) :: Tagged s b -> Tagged s b -> Bool

(>=) :: Tagged s b -> Tagged s b -> Bool

max :: Tagged s b -> Tagged s b -> Tagged s b

min :: Tagged s b -> Tagged s b -> Tagged s b

Ord c => Ord (K1 i c p)

Since: base-4.7.0.0

Defined in GHC.Generics

Methods

compare :: K1 i c p -> K1 i c p -> Ordering

(<) :: K1 i c p -> K1 i c p -> Bool

(<=) :: K1 i c p -> K1 i c p -> Bool

(>) :: K1 i c p -> K1 i c p -> Bool

(>=) :: K1 i c p -> K1 i c p -> Bool

max :: K1 i c p -> K1 i c p -> K1 i c p

min :: K1 i c p -> K1 i c p -> K1 i c p

(Ord (f p), Ord (g p)) => Ord ((f :+: g) p)

Since: base-4.7.0.0

Defined in GHC.Generics

Methods

compare :: (f :+: g) p -> (f :+: g) p -> Ordering

(<) :: (f :+: g) p -> (f :+: g) p -> Bool

(<=) :: (f :+: g) p -> (f :+: g) p -> Bool

(>) :: (f :+: g) p -> (f :+: g) p -> Bool

(>=) :: (f :+: g) p -> (f :+: g) p -> Bool

max :: (f :+: g) p -> (f :+: g) p -> (f :+: g) p

min :: (f :+: g) p -> (f :+: g) p -> (f :+: g) p

(Ord (f p), Ord (g p)) => Ord ((f :*: g) p)

Since: base-4.7.0.0

Defined in GHC.Generics

Methods

compare :: (f :*: g) p -> (f :*: g) p -> Ordering

(<) :: (f :*: g) p -> (f :*: g) p -> Bool

(<=) :: (f :*: g) p -> (f :*: g) p -> Bool

(>) :: (f :*: g) p -> (f :*: g) p -> Bool

(>=) :: (f :*: g) p -> (f :*: g) p -> Bool

max :: (f :*: g) p -> (f :*: g) p -> (f :*: g) p

min :: (f :*: g) p -> (f :*: g) p -> (f :*: g) p

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

Defined in GHC.Classes

Methods

compare :: (a, b, c, d) -> (a, b, c, d) -> Ordering

(<) :: (a, b, c, d) -> (a, b, c, d) -> Bool

(<=) :: (a, b, c, d) -> (a, b, c, d) -> Bool

(>) :: (a, b, c, d) -> (a, b, c, d) -> Bool

(>=) :: (a, b, c, d) -> (a, b, c, d) -> Bool

max :: (a, b, c, d) -> (a, b, c, d) -> (a, b, c, d)

min :: (a, b, c, d) -> (a, b, c, d) -> (a, b, c, d)

Ord (f p) => Ord (M1 i c f p)

Since: base-4.7.0.0

Defined in GHC.Generics

Methods

compare :: M1 i c f p -> M1 i c f p -> Ordering

(<) :: M1 i c f p -> M1 i c f p -> Bool

(<=) :: M1 i c f p -> M1 i c f p -> Bool

(>) :: M1 i c f p -> M1 i c f p -> Bool

(>=) :: M1 i c f p -> M1 i c f p -> Bool

max :: M1 i c f p -> M1 i c f p -> M1 i c f p

min :: M1 i c f p -> M1 i c f p -> M1 i c f p

Ord (f (g p)) => Ord ((f :.: g) p)

Since: base-4.7.0.0

Defined in GHC.Generics

Methods

compare :: (f :.: g) p -> (f :.: g) p -> Ordering

(<) :: (f :.: g) p -> (f :.: g) p -> Bool

(<=) :: (f :.: g) p -> (f :.: g) p -> Bool

(>) :: (f :.: g) p -> (f :.: g) p -> Bool

(>=) :: (f :.: g) p -> (f :.: g) p -> Bool

max :: (f :.: g) p -> (f :.: g) p -> (f :.: g) p

min :: (f :.: g) p -> (f :.: g) p -> (f :.: g) p

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

Defined in GHC.Classes

Methods

compare :: (a, b, c, d, e) -> (a, b, c, d, e) -> Ordering

(<) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool

(<=) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool

(>) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool

(>=) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool

max :: (a, b, c, d, e) -> (a, b, c, d, e) -> (a, b, c, d, e)

min :: (a, b, c, d, e) -> (a, b, c, d, e) -> (a, b, c, d, e)

(Ord1 f, Ord1 g, Ord a) => Ord (Compose f g a)

Since: base-4.9.0.0

Defined in Data.Functor.Compose

Methods

compare :: Compose f g a -> Compose f g a -> Ordering

(<) :: Compose f g a -> Compose f g a -> Bool

(<=) :: Compose f g a -> Compose f g a -> Bool

(>) :: Compose f g a -> Compose f g a -> Bool

(>=) :: Compose f g a -> Compose f g a -> Bool

max :: Compose f g a -> Compose f g a -> Compose f g a

min :: Compose f g a -> Compose f g a -> Compose f g a

Ord (p a b) => Ord (WrappedBifunctor p a b)

Defined in Data.Bifunctor.Wrapped

Methods

compare :: WrappedBifunctor p a b -> WrappedBifunctor p a b -> Ordering

(<) :: WrappedBifunctor p a b -> WrappedBifunctor p a b -> Bool

(<=) :: WrappedBifunctor p a b -> WrappedBifunctor p a b -> Bool

(>) :: WrappedBifunctor p a b -> WrappedBifunctor p a b -> Bool

(>=) :: WrappedBifunctor p a b -> WrappedBifunctor p a b -> Bool

max :: WrappedBifunctor p a b -> WrappedBifunctor p a b -> WrappedBifunctor p a b

min :: WrappedBifunctor p a b -> WrappedBifunctor p a b -> WrappedBifunctor p a b

Ord (g b) => Ord (Joker g a b)

Defined in Data.Bifunctor.Joker

Methods

compare :: Joker g a b -> Joker g a b -> Ordering

(<) :: Joker g a b -> Joker g a b -> Bool

(<=) :: Joker g a b -> Joker g a b -> Bool

(>) :: Joker g a b -> Joker g a b -> Bool

(>=) :: Joker g a b -> Joker g a b -> Bool

max :: Joker g a b -> Joker g a b -> Joker g a b

min :: Joker g a b -> Joker g a b -> Joker g a b

Ord (p b a) => Ord (Flip p a b)

Defined in Data.Bifunctor.Flip

Methods

compare :: Flip p a b -> Flip p a b -> Ordering

(<) :: Flip p a b -> Flip p a b -> Bool

(<=) :: Flip p a b -> Flip p a b -> Bool

(>) :: Flip p a b -> Flip p a b -> Bool

(>=) :: Flip p a b -> Flip p a b -> Bool

max :: Flip p a b -> Flip p a b -> Flip p a b

min :: Flip p a b -> Flip p a b -> Flip p a b

Ord (f a) => Ord (Clown f a b)

Defined in Data.Bifunctor.Clown

Methods

compare :: Clown f a b -> Clown f a b -> Ordering

(<) :: Clown f a b -> Clown f a b -> Bool

(<=) :: Clown f a b -> Clown f a b -> Bool

(>) :: Clown f a b -> Clown f a b -> Bool

(>=) :: Clown f a b -> Clown f a b -> Bool

max :: Clown f a b -> Clown f a b -> Clown f a b

min :: Clown f a b -> Clown f a b -> Clown f a b

(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f) => Ord (a, b, c, d, e, f)

Defined in GHC.Classes

Methods

compare :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Ordering

(<) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool

(<=) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool

(>) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool

(>=) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool

max :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> (a, b, c, d, e, f)

min :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> (a, b, c, d, e, f)

(Ord (p a b), Ord (q a b)) => Ord (Sum p q a b)

Defined in Data.Bifunctor.Sum

Methods

compare :: Sum p q a b -> Sum p q a b -> Ordering

(<) :: Sum p q a b -> Sum p q a b -> Bool

(<=) :: Sum p q a b -> Sum p q a b -> Bool

(>) :: Sum p q a b -> Sum p q a b -> Bool

(>=) :: Sum p q a b -> Sum p q a b -> Bool

max :: Sum p q a b -> Sum p q a b -> Sum p q a b

min :: Sum p q a b -> Sum p q a b -> Sum p q a b

(Ord (f a b), Ord (g a b)) => Ord (Product f g a b)

Defined in Data.Bifunctor.Product

Methods

compare :: Product f g a b -> Product f g a b -> Ordering

(<) :: Product f g a b -> Product f g a b -> Bool

(<=) :: Product f g a b -> Product f g a b -> Bool

(>) :: Product f g a b -> Product f g a b -> Bool

(>=) :: Product f g a b -> Product f g a b -> Bool

max :: Product f g a b -> Product f g a b -> Product f g a b

min :: Product f g a b -> Product f g a b -> Product f g a b

(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g) => Ord (a, b, c, d, e, f, g)

Defined in GHC.Classes

Methods

compare :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Ordering

(<) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool

(<=) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool

(>) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool

(>=) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool

max :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g)

min :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g)

Ord (f (p a b)) => Ord (Tannen f p a b)

Defined in Data.Bifunctor.Tannen

Methods

compare :: Tannen f p a b -> Tannen f p a b -> Ordering

(<) :: Tannen f p a b -> Tannen f p a b -> Bool

(<=) :: Tannen f p a b -> Tannen f p a b -> Bool

(>) :: Tannen f p a b -> Tannen f p a b -> Bool

(>=) :: Tannen f p a b -> Tannen f p a b -> Bool

max :: Tannen f p a b -> Tannen f p a b -> Tannen f p a b

min :: Tannen f p a b -> Tannen f p a b -> Tannen f p a b

(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h) => Ord (a, b, c, d, e, f, g, h)

Defined in GHC.Classes

Methods

compare :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Ordering

(<) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool

(<=) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool

(>) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool

(>=) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool

max :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h)

min :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h)

(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i) => Ord (a, b, c, d, e, f, g, h, i)

Defined in GHC.Classes

Methods

compare :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Ordering

(<) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool

(<=) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool

(>) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool

(>=) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool

max :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i)

min :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i)

Ord (p (f a) (g b)) => Ord (Biff p f g a b)

Defined in Data.Bifunctor.Biff

Methods

compare :: Biff p f g a b -> Biff p f g a b -> Ordering

(<) :: Biff p f g a b -> Biff p f g a b -> Bool

(<=) :: Biff p f g a b -> Biff p f g a b -> Bool

(>) :: Biff p f g a b -> Biff p f g a b -> Bool

(>=) :: Biff p f g a b -> Biff p f g a b -> Bool

max :: Biff p f g a b -> Biff p f g a b -> Biff p f g a b

min :: Biff p f g a b -> Biff p f g a b -> Biff p f g a b

(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j) => Ord (a, b, c, d, e, f, g, h, i, j)

Defined in GHC.Classes

Methods

compare :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Ordering

(<) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool

(<=) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool

(>) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool

(>=) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool

max :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j)

min :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j)

(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k) => Ord (a, b, c, d, e, f, g, h, i, j, k)

Defined in GHC.Classes

Methods

compare :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Ordering

(<) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool

(<=) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool

(>) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool

(>=) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool

max :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k)

min :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k)

(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k, Ord l) => Ord (a, b, c, d, e, f, g, h, i, j, k, l)

Defined in GHC.Classes

Methods

compare :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Ordering

(<) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool

(<=) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool

(>) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool

(>=) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool

max :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l)

min :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l)

(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k, Ord l, Ord m) => Ord (a, b, c, d, e, f, g, h, i, j, k, l, m)

Defined in GHC.Classes

Methods

compare :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Ordering

(<) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool

(<=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool

(>) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool

(>=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool

max :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m)

min :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m)

(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k, Ord l, Ord m, Ord n) => Ord (a, b, c, d, e, f, g, h, i, j, k, l, m, n)

Defined in GHC.Classes

Methods

compare :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Ordering

(<) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool

(<=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool

(>) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool

(>=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool

max :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n)

min :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n)

(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k, Ord l, Ord m, Ord n, Ord o) => Ord (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)

Defined in GHC.Classes

Methods

compare :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Ordering

(<) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool

(<=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool

(>) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool

(>=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool

max :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)

min :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)

class Read a

Parsing of Strings, producing values.

Derived instances of Read make the following assumptions, which derived instances of Show obey:

• If the constructor is defined to be an infix operator, then the derived Read instance will parse only infix applications of the constructor (not the prefix form).
• Associativity is not used to reduce the occurrence of parentheses, although precedence may be.
• If the constructor is defined using record syntax, the derived Read will parse only the record-syntax form, and furthermore, the fields must be given in the same order as the original declaration.
• The derived Read instance allows arbitrary Haskell whitespace between tokens of the input string. Extra parentheses are also allowed.

For example, given the declarations

infixr 5 :^:
data Tree a =  Leaf a  |  Tree a :^: Tree a

the derived instance of Read in Haskell 2010 is equivalent to

instance (Read a) => Read (Tree a) where

        readsPrec d r =  readParen (d > app_prec)
                         (\r -> [(Leaf m,t) |
                                 ("Leaf",s) <- lex r,
                                 (m,t) <- readsPrec (app_prec+1) s]) r

                      ++ readParen (d > up_prec)
                         (\r -> [(u:^:v,w) |
                                 (u,s) <- readsPrec (up_prec+1) r,
                                 (":^:",t) <- lex s,
                                 (v,w) <- readsPrec (up_prec+1) t]) r

          where app_prec = 10
                up_prec = 5

Note that right-associativity of :^: is unused.

The derived instance in GHC is equivalent to

instance (Read a) => Read (Tree a) where

        readPrec = parens $ (prec app_prec $ do
                                 Ident "Leaf" <- lexP
                                 m <- step readPrec
                                 return (Leaf m))

                     +++ (prec up_prec $ do
                                 u <- step readPrec
                                 Symbol ":^:" <- lexP
                                 v <- step readPrec
                                 return (u :^: v))

          where app_prec = 10
                up_prec = 5

        readListPrec = readListPrecDefault

Why do both readsPrec and readPrec exist, and why does GHC opt to implement readPrec in derived Read instances instead of readsPrec? The reason is that readsPrec is based on the ReadS type, and although ReadS is mentioned in the Haskell 2010 Report, it is not a very efficient parser data structure.

readPrec, on the other hand, is based on a much more efficient ReadPrec datatype (a.k.a "new-style parsers"), but its definition relies on the use of the RankNTypes language extension. Therefore, readPrec (and its cousin, readListPrec) are marked as GHC-only. Nevertheless, it is recommended to use readPrec instead of readsPrec whenever possible for the efficiency improvements it brings.

As mentioned above, derived Read instances in GHC will implement readPrec instead of readsPrec. The default implementations of readsPrec (and its cousin, readList) will simply use readPrec under the hood. If you are writing a Read instance by hand, it is recommended to write it like so:

instance Read T where
  readPrec     = ...
  readListPrec = readListPrecDefault

Minimal complete definition

readsPrec | readPrec

Instances

Read Bool

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Bool

readList :: ReadS [Bool]

readPrec :: ReadPrec Bool

readListPrec :: ReadPrec [Bool]

Read Char

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Char

readList :: ReadS [Char]

readPrec :: ReadPrec Char

readListPrec :: ReadPrec [Char]

Read Double

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Double

readList :: ReadS [Double]

readPrec :: ReadPrec Double

readListPrec :: ReadPrec [Double]

Read Float

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Float

readList :: ReadS [Float]

readPrec :: ReadPrec Float

readListPrec :: ReadPrec [Float]

Read Int

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Int

readList :: ReadS [Int]

readPrec :: ReadPrec Int

readListPrec :: ReadPrec [Int]

Read Int8

Since: base-2.1

Defined in GHC.Int

Methods

readsPrec :: Int -> ReadS Int8

readList :: ReadS [Int8]

readPrec :: ReadPrec Int8

readListPrec :: ReadPrec [Int8]

Read Int16

Since: base-2.1

Defined in GHC.Int

Methods

readsPrec :: Int -> ReadS Int16

readList :: ReadS [Int16]

readPrec :: ReadPrec Int16

readListPrec :: ReadPrec [Int16]

Read Int32

Since: base-2.1

Defined in GHC.Int

Methods

readsPrec :: Int -> ReadS Int32

readList :: ReadS [Int32]

readPrec :: ReadPrec Int32

readListPrec :: ReadPrec [Int32]

Read Int64

Since: base-2.1

Defined in GHC.Int

Methods

readsPrec :: Int -> ReadS Int64

readList :: ReadS [Int64]

readPrec :: ReadPrec Int64

readListPrec :: ReadPrec [Int64]

Read Integer

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Integer

readList :: ReadS [Integer]

readPrec :: ReadPrec Integer

readListPrec :: ReadPrec [Integer]

Read Natural

Since: base-4.8.0.0

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Natural

readList :: ReadS [Natural]

readPrec :: ReadPrec Natural

readListPrec :: ReadPrec [Natural]

Read Ordering

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Ordering

readList :: ReadS [Ordering]

readPrec :: ReadPrec Ordering

readListPrec :: ReadPrec [Ordering]

Read Word

Since: base-4.5.0.0

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Word

readList :: ReadS [Word]

readPrec :: ReadPrec Word

readListPrec :: ReadPrec [Word]

Read Word8

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Word8

readList :: ReadS [Word8]

readPrec :: ReadPrec Word8

readListPrec :: ReadPrec [Word8]

Read Word16

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Word16

readList :: ReadS [Word16]

readPrec :: ReadPrec Word16

readListPrec :: ReadPrec [Word16]

Read Word32

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Word32

readList :: ReadS [Word32]

readPrec :: ReadPrec Word32

readListPrec :: ReadPrec [Word32]

Read Word64

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Word64

readList :: ReadS [Word64]

readPrec :: ReadPrec Word64

readListPrec :: ReadPrec [Word64]

Read ()

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS ()

readList :: ReadS [()]

readPrec :: ReadPrec ()

readListPrec :: ReadPrec [()]

Read Void

Reading a Void value is always a parse error, considering Void as a data type with no constructors.

Since: base-4.8.0.0

Defined in Data.Void

Methods

readsPrec :: Int -> ReadS Void

readList :: ReadS [Void]

readPrec :: ReadPrec Void

readListPrec :: ReadPrec [Void]

Read Version

Since: base-2.1

Defined in Data.Version

Methods

readsPrec :: Int -> ReadS Version

readList :: ReadS [Version]

readPrec :: ReadPrec Version

readListPrec :: ReadPrec [Version]

Read ExitCode

Defined in GHC.IO.Exception

Methods

readsPrec :: Int -> ReadS ExitCode

readList :: ReadS [ExitCode]

readPrec :: ReadPrec ExitCode

readListPrec :: ReadPrec [ExitCode]

Read BufferMode

Since: base-4.2.0.0

Defined in GHC.IO.Handle.Types

Methods

readsPrec :: Int -> ReadS BufferMode

readList :: ReadS [BufferMode]

readPrec :: ReadPrec BufferMode

readListPrec :: ReadPrec [BufferMode]

Read Newline

Since: base-4.3.0.0

Defined in GHC.IO.Handle.Types

Methods

readsPrec :: Int -> ReadS Newline

readList :: ReadS [Newline]

readPrec :: ReadPrec Newline

readListPrec :: ReadPrec [Newline]

Read NewlineMode

Since: base-4.3.0.0

Defined in GHC.IO.Handle.Types

Methods

readsPrec :: Int -> ReadS NewlineMode

readList :: ReadS [NewlineMode]

readPrec :: ReadPrec NewlineMode

readListPrec :: ReadPrec [NewlineMode]

Read All

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

readsPrec :: Int -> ReadS All

readList :: ReadS [All]

readPrec :: ReadPrec All

readListPrec :: ReadPrec [All]

Read Any

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

readsPrec :: Int -> ReadS Any

readList :: ReadS [Any]

readPrec :: ReadPrec Any

readListPrec :: ReadPrec [Any]

Read Fixity

Since: base-4.6.0.0

Defined in GHC.Generics

Methods

readsPrec :: Int -> ReadS Fixity

readList :: ReadS [Fixity]

readPrec :: ReadPrec Fixity

readListPrec :: ReadPrec [Fixity]

Read Associativity

Since: base-4.6.0.0

Defined in GHC.Generics

Methods

readsPrec :: Int -> ReadS Associativity

readList :: ReadS [Associativity]

readPrec :: ReadPrec Associativity

readListPrec :: ReadPrec [Associativity]

Read SourceUnpackedness

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

readsPrec :: Int -> ReadS SourceUnpackedness

readList :: ReadS [SourceUnpackedness]

readPrec :: ReadPrec SourceUnpackedness

readListPrec :: ReadPrec [SourceUnpackedness]

Read SourceStrictness

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

readsPrec :: Int -> ReadS SourceStrictness

readList :: ReadS [SourceStrictness]

readPrec :: ReadPrec SourceStrictness

readListPrec :: ReadPrec [SourceStrictness]

Read DecidedStrictness

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

readsPrec :: Int -> ReadS DecidedStrictness

readList :: ReadS [DecidedStrictness]

readPrec :: ReadPrec DecidedStrictness

readListPrec :: ReadPrec [DecidedStrictness]

Read SomeNat

Since: base-4.7.0.0

Defined in GHC.TypeNats

Methods

readsPrec :: Int -> ReadS SomeNat

readList :: ReadS [SomeNat]

readPrec :: ReadPrec SomeNat

readListPrec :: ReadPrec [SomeNat]

Read IOMode

Since: base-4.2.0.0

Defined in GHC.IO.IOMode

Methods

readsPrec :: Int -> ReadS IOMode

readList :: ReadS [IOMode]

readPrec :: ReadPrec IOMode

readListPrec :: ReadPrec [IOMode]

Read Lexeme

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Lexeme

readList :: ReadS [Lexeme]

readPrec :: ReadPrec Lexeme

readListPrec :: ReadPrec [Lexeme]

Read GeneralCategory

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS GeneralCategory

readList :: ReadS [GeneralCategory]

readPrec :: ReadPrec GeneralCategory

readListPrec :: ReadPrec [GeneralCategory]

Read ByteString

Defined in Data.ByteString.Internal

Methods

readsPrec :: Int -> ReadS ByteString

readList :: ReadS [ByteString]

readPrec :: ReadPrec ByteString

readListPrec :: ReadPrec [ByteString]

Read IntSet

Defined in Data.IntSet.Internal

Methods

readsPrec :: Int -> ReadS IntSet

readList :: ReadS [IntSet]

readPrec :: ReadPrec IntSet

readListPrec :: ReadPrec [IntSet]

Read DatatypeVariant

Defined in Language.Haskell.TH.Datatype

Methods

readsPrec :: Int -> ReadS DatatypeVariant

readList :: ReadS [DatatypeVariant]

readPrec :: ReadPrec DatatypeVariant

readListPrec :: ReadPrec [DatatypeVariant]

Read Undefined

Defined in Universum.Debug

Methods

readsPrec :: Int -> ReadS Undefined

readList :: ReadS [Undefined]

readPrec :: ReadPrec Undefined

readListPrec :: ReadPrec [Undefined]

Read a => Read [a]

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS [a]

readList :: ReadS [[a]]

readPrec :: ReadPrec [a]

readListPrec :: ReadPrec [[a]]

Read a => Read (Maybe a)

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (Maybe a)

readList :: ReadS [Maybe a]

readPrec :: ReadPrec (Maybe a)

readListPrec :: ReadPrec [Maybe a]

(Integral a, Read a) => Read (Ratio a)

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (Ratio a)

readList :: ReadS [Ratio a]

readPrec :: ReadPrec (Ratio a)

readListPrec :: ReadPrec [Ratio a]

Read p => Read (Par1 p)

Since: base-4.7.0.0

Defined in GHC.Generics

Methods

readsPrec :: Int -> ReadS (Par1 p)

readList :: ReadS [Par1 p]

readPrec :: ReadPrec (Par1 p)

readListPrec :: ReadPrec [Par1 p]

Read a => Read (Min a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

readsPrec :: Int -> ReadS (Min a)

readList :: ReadS [Min a]

readPrec :: ReadPrec (Min a)

readListPrec :: ReadPrec [Min a]

Read a => Read (Max a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

readsPrec :: Int -> ReadS (Max a)

readList :: ReadS [Max a]

readPrec :: ReadPrec (Max a)

readListPrec :: ReadPrec [Max a]

Read a => Read (First a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

readsPrec :: Int -> ReadS (First a)

readList :: ReadS [First a]

readPrec :: ReadPrec (First a)

readListPrec :: ReadPrec [First a]

Read a => Read (Last a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

readsPrec :: Int -> ReadS (Last a)

readList :: ReadS [Last a]

readPrec :: ReadPrec (Last a)

readListPrec :: ReadPrec [Last a]

Read m => Read (WrappedMonoid m)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

readsPrec :: Int -> ReadS (WrappedMonoid m)

readList :: ReadS [WrappedMonoid m]

readPrec :: ReadPrec (WrappedMonoid m)

readListPrec :: ReadPrec [WrappedMonoid m]

Read a => Read (Option a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

readsPrec :: Int -> ReadS (Option a)

readList :: ReadS [Option a]

readPrec :: ReadPrec (Option a)

readListPrec :: ReadPrec [Option a]

Read a => Read (ZipList a)

Since: base-4.7.0.0

Defined in Control.Applicative

Methods

readsPrec :: Int -> ReadS (ZipList a)

readList :: ReadS [ZipList a]

readPrec :: ReadPrec (ZipList a)

readListPrec :: ReadPrec [ZipList 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

Defined in Data.Functor.Identity

Methods

readsPrec :: Int -> ReadS (Identity a)

readList :: ReadS [Identity a]

readPrec :: ReadPrec (Identity a)

readListPrec :: ReadPrec [Identity a]

Read a => Read (First a)

Since: base-2.1

Defined in Data.Monoid

Methods

readsPrec :: Int -> ReadS (First a)

readList :: ReadS [First a]

readPrec :: ReadPrec (First a)

readListPrec :: ReadPrec [First a]

Read a => Read (Last a)

Since: base-2.1

Defined in Data.Monoid

Methods

readsPrec :: Int -> ReadS (Last a)

readList :: ReadS [Last a]

readPrec :: ReadPrec (Last a)

readListPrec :: ReadPrec [Last a]

Read a => Read (Dual a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

readsPrec :: Int -> ReadS (Dual a)

readList :: ReadS [Dual a]

readPrec :: ReadPrec (Dual a)

readListPrec :: ReadPrec [Dual a]

Read a => Read (Sum a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

readsPrec :: Int -> ReadS (Sum a)

readList :: ReadS [Sum a]

readPrec :: ReadPrec (Sum a)

readListPrec :: ReadPrec [Sum a]

Read a => Read (Product a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

readsPrec :: Int -> ReadS (Product a)

readList :: ReadS [Product a]

readPrec :: ReadPrec (Product a)

readListPrec :: ReadPrec [Product a]

Read a => Read (Down a)

This instance would be equivalent to the derived instances of the Down newtype if the getDown field were removed

Since: base-4.7.0.0

Defined in Data.Ord

Methods

readsPrec :: Int -> ReadS (Down a)

readList :: ReadS [Down a]

readPrec :: ReadPrec (Down a)

readListPrec :: ReadPrec [Down a]

Read a => Read (NonEmpty a)

Since: base-4.11.0.0

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (NonEmpty a)

readList :: ReadS [NonEmpty a]

readPrec :: ReadPrec (NonEmpty a)

readListPrec :: ReadPrec [NonEmpty a]

Read e => Read (IntMap e)

Defined in Data.IntMap.Internal

Methods

readsPrec :: Int -> ReadS (IntMap e)

readList :: ReadS [IntMap e]

readPrec :: ReadPrec (IntMap e)

readListPrec :: ReadPrec [IntMap e]

Read a => Read (Seq a)

Defined in Data.Sequence.Internal

Methods

readsPrec :: Int -> ReadS (Seq a)

readList :: ReadS [Seq a]

readPrec :: ReadPrec (Seq a)

readListPrec :: ReadPrec [Seq a]

Read a => Read (ViewL a)

Defined in Data.Sequence.Internal

Methods

readsPrec :: Int -> ReadS (ViewL a)

readList :: ReadS [ViewL a]

readPrec :: ReadPrec (ViewL a)

readListPrec :: ReadPrec [ViewL a]

Read a => Read (ViewR a)

Defined in Data.Sequence.Internal

Methods

readsPrec :: Int -> ReadS (ViewR a)

readList :: ReadS [ViewR a]

readPrec :: ReadPrec (ViewR a)

readListPrec :: ReadPrec [ViewR a]

(Read a, Ord a) => Read (Set a)

Defined in Data.Set.Internal

Methods

readsPrec :: Int -> ReadS (Set a)

readList :: ReadS [Set a]

readPrec :: ReadPrec (Set a)

readListPrec :: ReadPrec [Set a]

(Eq a, Hashable a, Read a) => Read (HashSet a)

Defined in Data.HashSet.Internal

Methods

readsPrec :: Int -> ReadS (HashSet a)

readList :: ReadS [HashSet a]

readPrec :: ReadPrec (HashSet a)

readListPrec :: ReadPrec [HashSet a]

Read a => Read (Vector a)

Defined in Data.Vector

Methods

readsPrec :: Int -> ReadS (Vector a)

readList :: ReadS [Vector a]

readPrec :: ReadPrec (Vector a)

readListPrec :: ReadPrec [Vector a]

(Read a, Read b) => Read (Either a b)

Since: base-3.0

Defined in Data.Either

Methods

readsPrec :: Int -> ReadS (Either a b)

readList :: ReadS [Either a b]

readPrec :: ReadPrec (Either a b)

readListPrec :: ReadPrec [Either a b]

Read (V1 p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

readsPrec :: Int -> ReadS (V1 p)

readList :: ReadS [V1 p]

readPrec :: ReadPrec (V1 p)

readListPrec :: ReadPrec [V1 p]

Read (U1 p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

readsPrec :: Int -> ReadS (U1 p)

readList :: ReadS [U1 p]

readPrec :: ReadPrec (U1 p)

readListPrec :: ReadPrec [U1 p]

(Read a, Read b) => Read (a, b)

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (a, b)

readList :: ReadS [(a, b)]

readPrec :: ReadPrec (a, b)

readListPrec :: ReadPrec [(a, b)]

(Ix a, Read a, Read b) => Read (Array a b)

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (Array a b)

readList :: ReadS [Array a b]

readPrec :: ReadPrec (Array a b)

readListPrec :: ReadPrec [Array a b]

(Read a, Read b) => Read (Arg a b)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

readsPrec :: Int -> ReadS (Arg a b)

readList :: ReadS [Arg a b]

readPrec :: ReadPrec (Arg a b)

readListPrec :: ReadPrec [Arg a b]

Read (Proxy t)

Since: base-4.7.0.0

Defined in Data.Proxy

Methods

readsPrec :: Int -> ReadS (Proxy t)

readList :: ReadS [Proxy t]

readPrec :: ReadPrec (Proxy t)

readListPrec :: ReadPrec [Proxy t]

(Ord k, Read k, Read e) => Read (Map k e)

Defined in Data.Map.Internal

Methods

readsPrec :: Int -> ReadS (Map k e)

readList :: ReadS [Map k e]

readPrec :: ReadPrec (Map k e)

readListPrec :: ReadPrec [Map k e]

(Read1 m, Read a) => Read (MaybeT m a)

Defined in Control.Monad.Trans.Maybe

Methods

readsPrec :: Int -> ReadS (MaybeT m a)

readList :: ReadS [MaybeT m a]

readPrec :: ReadPrec (MaybeT m a)

readListPrec :: ReadPrec [MaybeT m a]

(Read1 f, Read a) => Read (Cofree f a)

Defined in Control.Comonad.Cofree

Methods

readsPrec :: Int -> ReadS (Cofree f a)

readList :: ReadS [Cofree f a]

readPrec :: ReadPrec (Cofree f a)

readListPrec :: ReadPrec [Cofree f a]

(Read1 f, Read a) => Read (Free f a)

Defined in Control.Monad.Free

Methods

readsPrec :: Int -> ReadS (Free f a)

readList :: ReadS [Free f a]

readPrec :: ReadPrec (Free f a)

readListPrec :: ReadPrec [Free f a]

(Functor f, Read (f a)) => Read (Yoneda f a)

Defined in Data.Functor.Yoneda

Methods

readsPrec :: Int -> ReadS (Yoneda f a)

readList :: ReadS [Yoneda f a]

readPrec :: ReadPrec (Yoneda f a)

readListPrec :: ReadPrec [Yoneda f a]

(Eq k, Hashable k, Read k, Read e) => Read (HashMap k e)

Defined in Data.HashMap.Internal

Methods

readsPrec :: Int -> ReadS (HashMap k e)

readList :: ReadS [HashMap k e]

readPrec :: ReadPrec (HashMap k e)

readListPrec :: ReadPrec [HashMap k e]

Read (f p) => Read (Rec1 f p)

Since: base-4.7.0.0

Defined in GHC.Generics

Methods

readsPrec :: Int -> ReadS (Rec1 f p)

readList :: ReadS [Rec1 f p]

readPrec :: ReadPrec (Rec1 f p)

readListPrec :: ReadPrec [Rec1 f p]

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

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (a, b, c)

readList :: ReadS [(a, b, c)]

readPrec :: ReadPrec (a, b, c)

readListPrec :: ReadPrec [(a, b, c)]

Read a => Read (Const a b)

This instance would be equivalent to the derived instances of the Const newtype if the getConst field were removed

Since: base-4.8.0.0

Defined in Data.Functor.Const

Methods

readsPrec :: Int -> ReadS (Const a b)

readList :: ReadS [Const a b]

readPrec :: ReadPrec (Const a b)

readListPrec :: ReadPrec [Const a b]

Read (f a) => Read (Ap f a)

Since: base-4.12.0.0

Defined in Data.Monoid

Methods

readsPrec :: Int -> ReadS (Ap f a)

readList :: ReadS [Ap f a]

readPrec :: ReadPrec (Ap f a)

readListPrec :: ReadPrec [Ap f a]

Read (f a) => Read (Alt f a)

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

readsPrec :: Int -> ReadS (Alt f a)

readList :: ReadS [Alt f a]

readPrec :: ReadPrec (Alt f a)

readListPrec :: ReadPrec [Alt f a]

Read (p a a) => Read (Join p a)

Defined in Data.Bifunctor.Join

Methods

readsPrec :: Int -> ReadS (Join p a)

readList :: ReadS [Join p a]

readPrec :: ReadPrec (Join p a)

readListPrec :: ReadPrec [Join p a]

Read (p (Fix p a) a) => Read (Fix p a)

Defined in Data.Bifunctor.Fix

Methods

readsPrec :: Int -> ReadS (Fix p a)

readList :: ReadS [Fix p a]

readPrec :: ReadPrec (Fix p a)

readListPrec :: ReadPrec [Fix p a]

(Read1 f, Read a) => Read (IdentityT f a)

Defined in Control.Monad.Trans.Identity

Methods

readsPrec :: Int -> ReadS (IdentityT f a)

readList :: ReadS [IdentityT f a]

readPrec :: ReadPrec (IdentityT f a)

readListPrec :: ReadPrec [IdentityT f a]

(Read e, Read1 m, Read a) => Read (ExceptT e m a)

Defined in Control.Monad.Trans.Except

Methods

readsPrec :: Int -> ReadS (ExceptT e m a)

readList :: ReadS [ExceptT e m a]

readPrec :: ReadPrec (ExceptT e m a)

readListPrec :: ReadPrec [ExceptT e m a]

(Read a, Read (f b)) => Read (FreeF f a b)

Defined in Control.Monad.Trans.Free

Methods

readsPrec :: Int -> ReadS (FreeF f a b)

readList :: ReadS [FreeF f a b]

readPrec :: ReadPrec (FreeF f a b)

readListPrec :: ReadPrec [FreeF f a b]

(Read1 f, Read1 m, Read a) => Read (FreeT f m a)

Defined in Control.Monad.Trans.Free

Methods

readsPrec :: Int -> ReadS (FreeT f m a)

readList :: ReadS [FreeT f m a]

readPrec :: ReadPrec (FreeT f m a)

readListPrec :: ReadPrec [FreeT f m a]

(Read a, Read (f b)) => Read (CofreeF f a b)

Defined in Control.Comonad.Trans.Cofree

Methods

readsPrec :: Int -> ReadS (CofreeF f a b)

readList :: ReadS [CofreeF f a b]

readPrec :: ReadPrec (CofreeF f a b)

readListPrec :: ReadPrec [CofreeF f a b]

Read (w (CofreeF f a (CofreeT f w a))) => Read (CofreeT f w a)

Defined in Control.Comonad.Trans.Cofree

Methods

readsPrec :: Int -> ReadS (CofreeT f w a)

readList :: ReadS [CofreeT f w a]

readPrec :: ReadPrec (CofreeT f w a)

readListPrec :: ReadPrec [CofreeT f w a]

(Read e, Read1 m, Read a) => Read (ErrorT e m a)

Defined in Control.Monad.Trans.Error

Methods

readsPrec :: Int -> ReadS (ErrorT e m a)

readList :: ReadS [ErrorT e m a]

readPrec :: ReadPrec (ErrorT e m a)

readListPrec :: ReadPrec [ErrorT e m a]

Read b => Read (Tagged s b)

Defined in Data.Tagged

Methods

readsPrec :: Int -> ReadS (Tagged s b)

readList :: ReadS [Tagged s b]

readPrec :: ReadPrec (Tagged s b)

readListPrec :: ReadPrec [Tagged s b]

Read c => Read (K1 i c p)

Since: base-4.7.0.0

Defined in GHC.Generics

Methods

readsPrec :: Int -> ReadS (K1 i c p)

readList :: ReadS [K1 i c p]

readPrec :: ReadPrec (K1 i c p)

readListPrec :: ReadPrec [K1 i c p]

(Read (f p), Read (g p)) => Read ((f :+: g) p)

Since: base-4.7.0.0

Defined in GHC.Generics

Methods

readsPrec :: Int -> ReadS ((f :+: g) p)

readList :: ReadS [(f :+: g) p]

readPrec :: ReadPrec ((f :+: g) p)

readListPrec :: ReadPrec [(f :+: g) p]

(Read (f p), Read (g p)) => Read ((f :*: g) p)

Since: base-4.7.0.0

Defined in GHC.Generics

Methods

readsPrec :: Int -> ReadS ((f :*: g) p)

readList :: ReadS [(f :*: g) p]

readPrec :: ReadPrec ((f :*: g) p)

readListPrec :: ReadPrec [(f :*: g) p]

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

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (a, b, c, d)

readList :: ReadS [(a, b, c, d)]

readPrec :: ReadPrec (a, b, c, d)

readListPrec :: ReadPrec [(a, b, c, d)]

Read (f p) => Read (M1 i c f p)

Since: base-4.7.0.0

Defined in GHC.Generics

Methods

readsPrec :: Int -> ReadS (M1 i c f p)

readList :: ReadS [M1 i c f p]

readPrec :: ReadPrec (M1 i c f p)

readListPrec :: ReadPrec [M1 i c f p]

Read (f (g p)) => Read ((f :.: g) p)

Since: base-4.7.0.0

Defined in GHC.Generics

Methods

readsPrec :: Int -> ReadS ((f :.: g) p)

readList :: ReadS [(f :.: g) p]

readPrec :: ReadPrec ((f :.: g) p)

readListPrec :: ReadPrec [(f :.: g) p]

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

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (a, b, c, d, e)

readList :: ReadS [(a, b, c, d, e)]

readPrec :: ReadPrec (a, b, c, d, e)

readListPrec :: ReadPrec [(a, b, c, d, e)]

(Read1 f, Read1 g, Read a) => Read (Compose f g a)

Since: base-4.9.0.0

Defined in Data.Functor.Compose

Methods

readsPrec :: Int -> ReadS (Compose f g a)

readList :: ReadS [Compose f g a]

readPrec :: ReadPrec (Compose f g a)

readListPrec :: ReadPrec [Compose f g a]

Read (p a b) => Read (WrappedBifunctor p a b)

Defined in Data.Bifunctor.Wrapped

Methods

readsPrec :: Int -> ReadS (WrappedBifunctor p a b)

readList :: ReadS [WrappedBifunctor p a b]

readPrec :: ReadPrec (WrappedBifunctor p a b)

readListPrec :: ReadPrec [WrappedBifunctor p a b]

Read (g b) => Read (Joker g a b)

Defined in Data.Bifunctor.Joker

Methods

readsPrec :: Int -> ReadS (Joker g a b)

readList :: ReadS [Joker g a b]

readPrec :: ReadPrec (Joker g a b)

readListPrec :: ReadPrec [Joker g a b]

Read (p b a) => Read (Flip p a b)

Defined in Data.Bifunctor.Flip

Methods

readsPrec :: Int -> ReadS (Flip p a b)

readList :: ReadS [Flip p a b]

readPrec :: ReadPrec (Flip p a b)

readListPrec :: ReadPrec [Flip p a b]

Read (f a) => Read (Clown f a b)

Defined in Data.Bifunctor.Clown

Methods

readsPrec :: Int -> ReadS (Clown f a b)

readList :: ReadS [Clown f a b]

readPrec :: ReadPrec (Clown f a b)

readListPrec :: ReadPrec [Clown f a b]

(Read a, Read b, Read c, Read d, Read e, Read f) => Read (a, b, c, d, e, f)

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (a, b, c, d, e, f)

readList :: ReadS [(a, b, c, d, e, f)]

readPrec :: ReadPrec (a, b, c, d, e, f)

readListPrec :: ReadPrec [(a, b, c, d, e, f)]

(Read (p a b), Read (q a b)) => Read (Sum p q a b)

Defined in Data.Bifunctor.Sum

Methods

readsPrec :: Int -> ReadS (Sum p q a b)

readList :: ReadS [Sum p q a b]

readPrec :: ReadPrec (Sum p q a b)

readListPrec :: ReadPrec [Sum p q a b]

(Read (f a b), Read (g a b)) => Read (Product f g a b)

Defined in Data.Bifunctor.Product

Methods

readsPrec :: Int -> ReadS (Product f g a b)

readList :: ReadS [Product f g a b]

readPrec :: ReadPrec (Product f g a b)

readListPrec :: ReadPrec [Product f g a b]

(Read a, Read b, Read c, Read d, Read e, Read f, Read g) => Read (a, b, c, d, e, f, g)

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (a, b, c, d, e, f, g)

readList :: ReadS [(a, b, c, d, e, f, g)]

readPrec :: ReadPrec (a, b, c, d, e, f, g)

readListPrec :: ReadPrec [(a, b, c, d, e, f, g)]

Read (f (p a b)) => Read (Tannen f p a b)

Defined in Data.Bifunctor.Tannen

Methods

readsPrec :: Int -> ReadS (Tannen f p a b)

readList :: ReadS [Tannen f p a b]

readPrec :: ReadPrec (Tannen f p a b)

readListPrec :: ReadPrec [Tannen f p a b]

(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h) => Read (a, b, c, d, e, f, g, h)

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h)

readList :: ReadS [(a, b, c, d, e, f, g, h)]

readPrec :: ReadPrec (a, b, c, d, e, f, g, h)

readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h)]

(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i) => Read (a, b, c, d, e, f, g, h, i)

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i)

readList :: ReadS [(a, b, c, d, e, f, g, h, i)]

readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i)

readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i)]

Read (p (f a) (g b)) => Read (Biff p f g a b)

Defined in Data.Bifunctor.Biff

Methods

readsPrec :: Int -> ReadS (Biff p f g a b)

readList :: ReadS [Biff p f g a b]

readPrec :: ReadPrec (Biff p f g a b)

readListPrec :: ReadPrec [Biff p f g a b]

(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j) => Read (a, b, c, d, e, f, g, h, i, j)

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j)

readList :: ReadS [(a, b, c, d, e, f, g, h, i, j)]

readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j)

readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j)]

(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k) => Read (a, b, c, d, e, f, g, h, i, j, k)

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j, k)

readList :: ReadS [(a, b, c, d, e, f, g, h, i, j, k)]

readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j, k)

readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j, k)]

(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k, Read l) => Read (a, b, c, d, e, f, g, h, i, j, k, l)

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j, k, l)

readList :: ReadS [(a, b, c, d, e, f, g, h, i, j, k, l)]

readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j, k, l)

readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j, k, l)]

(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k, Read l, Read m) => Read (a, b, c, d, e, f, g, h, i, j, k, l, m)

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j, k, l, m)

readList :: ReadS [(a, b, c, d, e, f, g, h, i, j, k, l, m)]

readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j, k, l, m)

readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j, k, l, m)]

(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k, Read l, Read m, Read n) => Read (a, b, c, d, e, f, g, h, i, j, k, l, m, n)

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j, k, l, m, n)

readList :: ReadS [(a, b, c, d, e, f, g, h, i, j, k, l, m, n)]

readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j, k, l, m, n)

readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j, k, l, m, n)]

(Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k, Read l, Read m, Read n, Read o) => Read (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)

readList :: ReadS [(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)]

readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)

readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)]

class (Num a, Ord a) => Real a where

Methods

toRational :: a -> Rational

the rational equivalent of its real argument with full precision

Instances

Real Int

Since: base-2.0.1

Defined in GHC.Real

Methods

toRational :: Int -> Rational

Real Int8

Since: base-2.1

Defined in GHC.Int

Methods

toRational :: Int8 -> Rational

Real Int16

Since: base-2.1

Defined in GHC.Int

Methods

toRational :: Int16 -> Rational

Real Int32

Since: base-2.1

Defined in GHC.Int

Methods

toRational :: Int32 -> Rational

Real Int64

Since: base-2.1

Defined in GHC.Int

Methods

toRational :: Int64 -> Rational

Real Integer

Since: base-2.0.1

Defined in GHC.Real

Methods

toRational :: Integer -> Rational

Real Natural

Since: base-4.8.0.0

Defined in GHC.Real

Methods

toRational :: Natural -> Rational

Real Word

Since: base-2.1

Defined in GHC.Real

Methods

toRational :: Word -> Rational

Real Word8

Since: base-2.1

Defined in GHC.Word

Methods

toRational :: Word8 -> Rational

Real Word16

Since: base-2.1

Defined in GHC.Word

Methods

toRational :: Word16 -> Rational

Real Word32

Since: base-2.1

Defined in GHC.Word

Methods

toRational :: Word32 -> Rational

Real Word64

Since: base-2.1

Defined in GHC.Word

Methods

toRational :: Word64 -> Rational

Integral a => Real (Ratio a)

Since: base-2.0.1

Defined in GHC.Real

Methods

toRational :: Ratio a -> Rational

Real a => Real (Identity a)

Since: base-4.9.0.0

Defined in Data.Functor.Identity

Methods

toRational :: Identity a -> Rational

Real a => Real (Down a)

Since: base-4.14.0.0

Defined in Data.Ord

Methods

toRational :: Down a -> Rational

Real a => Real (Const a b)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Methods

toRational :: Const a b -> Rational

Real a => Real (Tagged s a)

Defined in Data.Tagged

Methods

toRational :: Tagged s a -> Rational

class (Real a, Fractional a) => RealFrac a where

Extracting components of fractions.

Minimal complete definition

properFraction

Methods

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

The function properFraction takes a real fractional number x and returns a pair (n,f) such that x = n+f, and:

• n is an integral number with the same sign as x; and
• f is a fraction with the same type and sign as x, and with absolute value less than 1.

The default definitions of the ceiling, floor, truncate and round functions are in terms of properFraction.

truncate :: Integral b => a -> b

truncate x returns the integer nearest x between zero and x

round :: Integral b => a -> b

round x returns the nearest integer to x; the even integer if x is equidistant between two integers

ceiling :: Integral b => a -> b

ceiling x returns the least integer not less than x

floor :: Integral b => a -> b

floor x returns the greatest integer not greater than x

Instances

Integral a => RealFrac (Ratio a)

Since: base-2.0.1

Defined in GHC.Real

Methods

properFraction :: Integral b => Ratio a -> (b, Ratio a)

truncate :: Integral b => Ratio a -> b

round :: Integral b => Ratio a -> b

ceiling :: Integral b => Ratio a -> b

floor :: Integral b => Ratio a -> b

RealFrac a => RealFrac (Identity a)

Since: base-4.9.0.0

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

RealFrac a => RealFrac (Down a)

Since: base-4.14.0.0

Defined in Data.Ord

Methods

properFraction :: Integral b => Down a -> (b, Down a)

truncate :: Integral b => Down a -> b

round :: Integral b => Down a -> b

ceiling :: Integral b => Down a -> b

floor :: Integral b => Down a -> b

RealFrac a => RealFrac (Const a b)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Methods

properFraction :: Integral b0 => Const a b -> (b0, Const a b)

truncate :: Integral b0 => Const a b -> b0

round :: Integral b0 => Const a b -> b0

ceiling :: Integral b0 => Const a b -> b0

floor :: Integral b0 => Const a b -> b0

RealFrac a => RealFrac (Tagged s a)

Defined in Data.Tagged

Methods

properFraction :: Integral b => Tagged s a -> (b, Tagged s a)

truncate :: Integral b => Tagged s a -> b

round :: Integral b => Tagged s a -> b

ceiling :: Integral b => Tagged s a -> b

floor :: Integral b => Tagged s a -> b

class Show a

Conversion of values to readable Strings.

Derived instances of Show have the following properties, which are compatible with derived instances of Read:

• The result of show is a syntactically correct Haskell expression containing only constants, given the fixity declarations in force at the point where the type is declared. It contains only the constructor names defined in the data type, parentheses, and spaces. When labelled constructor fields are used, braces, commas, field names, and equal signs are also used.
• If the constructor is defined to be an infix operator, then showsPrec will produce infix applications of the constructor.
• the representation will be enclosed in parentheses if the precedence of the top-level constructor in x is less than d (associativity is ignored). Thus, if d is 0 then the result is never surrounded in parentheses; if d is 11 it is always surrounded in parentheses, unless it is an atomic expression.
• If the constructor is defined using record syntax, then show will produce the record-syntax form, with the fields given in the same order as the original declaration.

For example, given the declarations

infixr 5 :^:
data Tree a =  Leaf a  |  Tree a :^: Tree a

the derived instance of Show is equivalent to

instance (Show a) => Show (Tree a) where

       showsPrec d (Leaf m) = showParen (d > app_prec) $
            showString "Leaf " . showsPrec (app_prec+1) m
         where app_prec = 10

       showsPrec d (u :^: v) = showParen (d > up_prec) $
            showsPrec (up_prec+1) u .
            showString " :^: "      .
            showsPrec (up_prec+1) v
         where up_prec = 5

Note that right-associativity of :^: is ignored. For example,

• show (Leaf 1 :^: Leaf 2 :^: Leaf 3) produces the string "Leaf 1 :^: (Leaf 2 :^: Leaf 3)".

Minimal complete definition

showsPrec | show

Instances

Show Bool

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> Bool -> ShowS

show :: Bool -> String

showList :: [Bool] -> ShowS

Show Char

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> Char -> ShowS

show :: Char -> String

showList :: [Char] -> ShowS

Show Int

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> Int -> ShowS

show :: Int -> String

showList :: [Int] -> ShowS

Show Int8

Since: base-2.1

Defined in GHC.Int

Methods

showsPrec :: Int -> Int8 -> ShowS

show :: Int8 -> String

showList :: [Int8] -> ShowS

Show Int16

Since: base-2.1

Defined in GHC.Int

Methods

showsPrec :: Int -> Int16 -> ShowS

show :: Int16 -> String

showList :: [Int16] -> ShowS

Show Int32

Since: base-2.1

Defined in GHC.Int

Methods

showsPrec :: Int -> Int32 -> ShowS

show :: Int32 -> String

showList :: [Int32] -> ShowS

Show Int64

Since: base-2.1

Defined in GHC.Int

Methods

showsPrec :: Int -> Int64 -> ShowS

show :: Int64 -> String

showList :: [Int64] -> ShowS

Show Integer

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> Integer -> ShowS

show :: Integer -> String

showList :: [Integer] -> ShowS

Show Natural

Since: base-4.8.0.0

Defined in GHC.Show

Methods

showsPrec :: Int -> Natural -> ShowS

show :: Natural -> String

showList :: [Natural] -> ShowS

Show Ordering

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> Ordering -> ShowS

show :: Ordering -> String

showList :: [Ordering] -> ShowS

Show Word

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> Word -> ShowS

show :: Word -> String

showList :: [Word] -> ShowS

Show Word8

Since: base-2.1

Defined in GHC.Word

Methods

showsPrec :: Int -> Word8 -> ShowS

show :: Word8 -> String

showList :: [Word8] -> ShowS

Show Word16

Since: base-2.1

Defined in GHC.Word

Methods

showsPrec :: Int -> Word16 -> ShowS

show :: Word16 -> String

showList :: [Word16] -> ShowS

Show Word32

Since: base-2.1

Defined in GHC.Word

Methods

showsPrec :: Int -> Word32 -> ShowS

show :: Word32 -> String

showList :: [Word32] -> ShowS

Show Word64

Since: base-2.1

Defined in GHC.Word

Methods

showsPrec :: Int -> Word64 -> ShowS

show :: Word64 -> String

showList :: [Word64] -> ShowS

Show RuntimeRep

Since: base-4.11.0.0

Defined in GHC.Show

Methods

showsPrec :: Int -> RuntimeRep -> ShowS

show :: RuntimeRep -> String

showList :: [RuntimeRep] -> ShowS

Show VecCount

Since: base-4.11.0.0

Defined in GHC.Show

Methods

showsPrec :: Int -> VecCount -> ShowS

show :: VecCount -> String

showList :: [VecCount] -> ShowS

Show VecElem

Since: base-4.11.0.0

Defined in GHC.Show

Methods

showsPrec :: Int -> VecElem -> ShowS

show :: VecElem -> String

showList :: [VecElem] -> ShowS

Show CallStack

Since: base-4.9.0.0

Defined in GHC.Show

Methods

showsPrec :: Int -> CallStack -> ShowS

show :: CallStack -> String

showList :: [CallStack] -> ShowS

Show SomeTypeRep

Since: base-4.10.0.0

Defined in Data.Typeable.Internal

Methods

showsPrec :: Int -> SomeTypeRep -> ShowS

show :: SomeTypeRep -> String

showList :: [SomeTypeRep] -> ShowS

Show ()

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> () -> ShowS

show :: () -> String

showList :: [()] -> ShowS

Show TyCon

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> TyCon -> ShowS

show :: TyCon -> String

showList :: [TyCon] -> ShowS

Show Module

Since: base-4.9.0.0

Defined in GHC.Show

Methods

showsPrec :: Int -> Module -> ShowS

show :: Module -> String

showList :: [Module] -> ShowS

Show TrName

Since: base-4.9.0.0

Defined in GHC.Show

Methods

showsPrec :: Int -> TrName -> ShowS

show :: TrName -> String

showList :: [TrName] -> ShowS

Show KindRep

Defined in GHC.Show

Methods

showsPrec :: Int -> KindRep -> ShowS

show :: KindRep -> String

showList :: [KindRep] -> ShowS

Show TypeLitSort

Since: base-4.11.0.0

Defined in GHC.Show

Methods

showsPrec :: Int -> TypeLitSort -> ShowS

show :: TypeLitSort -> String

showList :: [TypeLitSort] -> ShowS

Show Handle

Since: base-4.1.0.0

Defined in GHC.IO.Handle.Types

Methods

showsPrec :: Int -> Handle -> ShowS

show :: Handle -> String

showList :: [Handle] -> ShowS

Show Void

Since: base-4.8.0.0

Defined in Data.Void

Methods

showsPrec :: Int -> Void -> ShowS

show :: Void -> String

showList :: [Void] -> ShowS

Show Version

Since: base-2.1

Defined in Data.Version

Methods

showsPrec :: Int -> Version -> ShowS

show :: Version -> String

showList :: [Version] -> ShowS

Show ThreadId

Since: base-4.2.0.0

Defined in GHC.Conc.Sync

Methods

showsPrec :: Int -> ThreadId -> ShowS

show :: ThreadId -> String

showList :: [ThreadId] -> ShowS

Show BlockReason

Since: base-4.3.0.0

Defined in GHC.Conc.Sync

Methods

showsPrec :: Int -> BlockReason -> ShowS

show :: BlockReason -> String

showList :: [BlockReason] -> ShowS

Show ThreadStatus

Since: base-4.3.0.0

Defined in GHC.Conc.Sync

Methods

showsPrec :: Int -> ThreadStatus -> ShowS

show :: ThreadStatus -> String

showList :: [ThreadStatus] -> ShowS

Show BlockedIndefinitelyOnMVar

Since: base-4.1.0.0

Defined in GHC.IO.Exception

Methods

showsPrec :: Int -> BlockedIndefinitelyOnMVar -> ShowS

show :: BlockedIndefinitelyOnMVar -> String

showList :: [BlockedIndefinitelyOnMVar] -> ShowS

Show BlockedIndefinitelyOnSTM

Since: base-4.1.0.0

Defined in GHC.IO.Exception

Methods

showsPrec :: Int -> BlockedIndefinitelyOnSTM -> ShowS

show :: BlockedIndefinitelyOnSTM -> String

showList :: [BlockedIndefinitelyOnSTM] -> ShowS

Show Deadlock

Since: base-4.1.0.0

Defined in GHC.IO.Exception

Methods

showsPrec :: Int -> Deadlock -> ShowS

show :: Deadlock -> String

showList :: [Deadlock] -> ShowS

Show AllocationLimitExceeded

Since: base-4.7.1.0

Defined in GHC.IO.Exception

Methods

showsPrec :: Int -> AllocationLimitExceeded -> ShowS

show :: AllocationLimitExceeded -> String

showList :: [AllocationLimitExceeded] -> ShowS

Show CompactionFailed

Since: base-4.10.0.0

Defined in GHC.IO.Exception

Methods

showsPrec :: Int -> CompactionFailed -> ShowS

show :: CompactionFailed -> String

showList :: [CompactionFailed] -> ShowS

Show AssertionFailed

Since: base-4.1.0.0

Defined in GHC.IO.Exception

Methods

showsPrec :: Int -> AssertionFailed -> ShowS

show :: AssertionFailed -> String

showList :: [AssertionFailed] -> ShowS

Show SomeAsyncException

Since: base-4.7.0.0

Defined in GHC.IO.Exception

Methods

showsPrec :: Int -> SomeAsyncException -> ShowS

show :: SomeAsyncException -> String

showList :: [SomeAsyncException] -> ShowS

Show AsyncException

Since: base-4.1.0.0

Defined in GHC.IO.Exception

Methods

showsPrec :: Int -> AsyncException -> ShowS

show :: AsyncException -> String

showList :: [AsyncException] -> ShowS

Show ArrayException

Since: base-4.1.0.0

Defined in GHC.IO.Exception

Methods

showsPrec :: Int -> ArrayException -> ShowS

show :: ArrayException -> String

showList :: [ArrayException] -> ShowS

Show FixIOException

Since: base-4.11.0.0

Defined in GHC.IO.Exception

Methods

showsPrec :: Int -> FixIOException -> ShowS

show :: FixIOException -> String

showList :: [FixIOException] -> ShowS

Show ExitCode

Defined in GHC.IO.Exception

Methods

showsPrec :: Int -> ExitCode -> ShowS

show :: ExitCode -> String

showList :: [ExitCode] -> ShowS

Show IOErrorType

Since: base-4.1.0.0

Defined in GHC.IO.Exception

Methods

showsPrec :: Int -> IOErrorType -> ShowS

show :: IOErrorType -> String

showList :: [IOErrorType] -> ShowS

Show HandleType

Since: base-4.1.0.0

Defined in GHC.IO.Handle.Types

Methods

showsPrec :: Int -> HandleType -> ShowS

show :: HandleType -> String

showList :: [HandleType] -> ShowS

Show BufferMode

Since: base-4.2.0.0

Defined in GHC.IO.Handle.Types

Methods

showsPrec :: Int -> BufferMode -> ShowS

show :: BufferMode -> String

showList :: [BufferMode] -> ShowS

Show Newline

Since: base-4.3.0.0

Defined in GHC.IO.Handle.Types

Methods

showsPrec :: Int -> Newline -> ShowS

show :: Newline -> String

showList :: [Newline] -> ShowS

Show NewlineMode

Since: base-4.3.0.0

Defined in GHC.IO.Handle.Types

Methods

showsPrec :: Int -> NewlineMode -> ShowS

show :: NewlineMode -> String

showList :: [NewlineMode] -> ShowS

Show MaskingState

Since: base-4.3.0.0

Defined in GHC.IO

Methods

showsPrec :: Int -> MaskingState -> ShowS

show :: MaskingState -> String

showList :: [MaskingState] -> ShowS

Show IOException

Since: base-4.1.0.0

Defined in GHC.IO.Exception

Methods

showsPrec :: Int -> IOException -> ShowS

show :: IOException -> String

showList :: [IOException] -> ShowS

Show ErrorCall

Since: base-4.0.0.0

Defined in GHC.Exception

Methods

showsPrec :: Int -> ErrorCall -> ShowS

show :: ErrorCall -> String

showList :: [ErrorCall] -> ShowS

Show ArithException

Since: base-4.0.0.0

Defined in GHC.Exception.Type

Methods

showsPrec :: Int -> ArithException -> ShowS

show :: ArithException -> String

showList :: [ArithException] -> ShowS

Show All

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

showsPrec :: Int -> All -> ShowS

show :: All -> String

showList :: [All] -> ShowS

Show Any

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

showsPrec :: Int -> Any -> ShowS

show :: Any -> String

showList :: [Any] -> ShowS

Show Fixity

Since: base-4.6.0.0

Defined in GHC.Generics

Methods

showsPrec :: Int -> Fixity -> ShowS

show :: Fixity -> String

showList :: [Fixity] -> ShowS

Show Associativity

Since: base-4.6.0.0

Defined in GHC.Generics

Methods

showsPrec :: Int -> Associativity -> ShowS

show :: Associativity -> String

showList :: [Associativity] -> ShowS

Show SourceUnpackedness

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

showsPrec :: Int -> SourceUnpackedness -> ShowS

show :: SourceUnpackedness -> String

showList :: [SourceUnpackedness] -> ShowS

Show SourceStrictness

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

showsPrec :: Int -> SourceStrictness -> ShowS

show :: SourceStrictness -> String

showList :: [SourceStrictness] -> ShowS

Show DecidedStrictness

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

showsPrec :: Int -> DecidedStrictness -> ShowS

show :: DecidedStrictness -> String

showList :: [DecidedStrictness] -> ShowS

Show SomeNat

Since: base-4.7.0.0

Defined in GHC.TypeNats

Methods

showsPrec :: Int -> SomeNat -> ShowS

show :: SomeNat -> String

showList :: [SomeNat] -> ShowS

Show IOMode

Since: base-4.2.0.0

Defined in GHC.IO.IOMode

Methods

showsPrec :: Int -> IOMode -> ShowS

show :: IOMode -> String

showList :: [IOMode] -> ShowS

Show SrcLoc

Since: base-4.9.0.0

Defined in GHC.Show

Methods

showsPrec :: Int -> SrcLoc -> ShowS

show :: SrcLoc -> String

showList :: [SrcLoc] -> ShowS

Show SomeException

Since: base-3.0

Defined in GHC.Exception.Type

Methods

showsPrec :: Int -> SomeException -> ShowS

show :: SomeException -> String

showList :: [SomeException] -> ShowS

Show ByteString

Defined in Data.ByteString.Internal

Methods

showsPrec :: Int -> ByteString -> ShowS

show :: ByteString -> String

showList :: [ByteString] -> ShowS

Show IntSet

Defined in Data.IntSet.Internal

Methods

showsPrec :: Int -> IntSet -> ShowS

show :: IntSet -> String

showList :: [IntSet] -> ShowS

Show Doc

Defined in Text.PrettyPrint.HughesPJ

Methods

showsPrec :: Int -> Doc -> ShowS

show :: Doc -> String

showList :: [Doc] -> ShowS

Show TextDetails

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

showsPrec :: Int -> TextDetails -> ShowS

show :: TextDetails -> String

showList :: [TextDetails] -> ShowS

Show Style

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

showsPrec :: Int -> Style -> ShowS

show :: Style -> String

showList :: [Style] -> ShowS

Show Mode

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

showsPrec :: Int -> Mode -> ShowS

show :: Mode -> String

showList :: [Mode] -> ShowS

Show StringException

Defined in Control.Exception.Safe

Methods

showsPrec :: Int -> StringException -> ShowS

show :: StringException -> String

showList :: [StringException] -> ShowS

Show SyncExceptionWrapper

Defined in Control.Exception.Safe

Methods

showsPrec :: Int -> SyncExceptionWrapper -> ShowS

show :: SyncExceptionWrapper -> String

showList :: [SyncExceptionWrapper] -> ShowS

Show AsyncExceptionWrapper

Defined in Control.Exception.Safe

Methods

showsPrec :: Int -> AsyncExceptionWrapper -> ShowS

show :: AsyncExceptionWrapper -> String

showList :: [AsyncExceptionWrapper] -> ShowS

Show Decoding

Defined in Data.Text.Encoding

Methods

showsPrec :: Int -> Decoding -> ShowS

show :: Decoding -> String

showList :: [Decoding] -> ShowS

Show UnicodeException

Defined in Data.Text.Encoding.Error

Methods

showsPrec :: Int -> UnicodeException -> ShowS

show :: UnicodeException -> String

showList :: [UnicodeException] -> ShowS

Show DatatypeInfo

Defined in Language.Haskell.TH.Datatype

Methods

showsPrec :: Int -> DatatypeInfo -> ShowS

show :: DatatypeInfo -> String

showList :: [DatatypeInfo] -> ShowS

Show DatatypeVariant

Defined in Language.Haskell.TH.Datatype

Methods

showsPrec :: Int -> DatatypeVariant -> ShowS

show :: DatatypeVariant -> String

showList :: [DatatypeVariant] -> ShowS

Show ConstructorInfo

Defined in Language.Haskell.TH.Datatype

Methods

showsPrec :: Int -> ConstructorInfo -> ShowS

show :: ConstructorInfo -> String

showList :: [ConstructorInfo] -> ShowS

Show ConstructorVariant

Defined in Language.Haskell.TH.Datatype

Methods

showsPrec :: Int -> ConstructorVariant -> ShowS

show :: ConstructorVariant -> String

showList :: [ConstructorVariant] -> ShowS

Show FieldStrictness

Defined in Language.Haskell.TH.Datatype

Methods

showsPrec :: Int -> FieldStrictness -> ShowS

show :: FieldStrictness -> String

showList :: [FieldStrictness] -> ShowS

Show Unpackedness

Defined in Language.Haskell.TH.Datatype

Methods

showsPrec :: Int -> Unpackedness -> ShowS

show :: Unpackedness -> String

showList :: [Unpackedness] -> ShowS

Show Strictness

Defined in Language.Haskell.TH.Datatype

Methods

showsPrec :: Int -> Strictness -> ShowS

show :: Strictness -> String

showList :: [Strictness] -> ShowS

Show Specificity

Defined in Language.Haskell.TH.Datatype.TyVarBndr

Methods

showsPrec :: Int -> Specificity -> ShowS

show :: Specificity -> String

showList :: [Specificity] -> ShowS

Show Undefined

Defined in Universum.Debug

Methods

showsPrec :: Int -> Undefined -> ShowS

show :: Undefined -> String

showList :: [Undefined] -> ShowS

Show Bug

Defined in Universum.Exception

Methods

showsPrec :: Int -> Bug -> ShowS

show :: Bug -> String

showList :: [Bug] -> ShowS

Show CodePoint

Defined in Data.Text.Encoding

Methods

showsPrec :: Int -> CodePoint -> ShowS

show :: CodePoint -> String

showList :: [CodePoint] -> ShowS

Show DecoderState

Defined in Data.Text.Encoding

Methods

showsPrec :: Int -> DecoderState -> ShowS

show :: DecoderState -> String

showList :: [DecoderState] -> ShowS

Show a => Show [a]

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> [a] -> ShowS

show :: [a] -> String

showList :: [[a]] -> ShowS

Show a => Show (Maybe a)

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> Maybe a -> ShowS

show :: Maybe a -> String

showList :: [Maybe a] -> ShowS

Show a => Show (Ratio a)

Since: base-2.0.1

Defined in GHC.Real

Methods

showsPrec :: Int -> Ratio a -> ShowS

show :: Ratio a -> String

showList :: [Ratio a] -> ShowS

Show (Ptr a)

Since: base-2.1

Defined in GHC.Ptr

Methods

showsPrec :: Int -> Ptr a -> ShowS

show :: Ptr a -> String

showList :: [Ptr a] -> ShowS

Show (FunPtr a)

Since: base-2.1

Defined in GHC.Ptr

Methods

showsPrec :: Int -> FunPtr a -> ShowS

show :: FunPtr a -> String

showList :: [FunPtr a] -> ShowS

Show p => Show (Par1 p)

Since: base-4.7.0.0

Defined in GHC.Generics

Methods

showsPrec :: Int -> Par1 p -> ShowS

show :: Par1 p -> String

showList :: [Par1 p] -> ShowS

Show a => Show (Min a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

showsPrec :: Int -> Min a -> ShowS

show :: Min a -> String

showList :: [Min a] -> ShowS

Show a => Show (Max a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

showsPrec :: Int -> Max a -> ShowS

show :: Max a -> String

showList :: [Max a] -> ShowS

Show a => Show (First a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

showsPrec :: Int -> First a -> ShowS

show :: First a -> String

showList :: [First a] -> ShowS

Show a => Show (Last a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

showsPrec :: Int -> Last a -> ShowS

show :: Last a -> String

showList :: [Last a] -> ShowS

Show m => Show (WrappedMonoid m)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

showsPrec :: Int -> WrappedMonoid m -> ShowS

show :: WrappedMonoid m -> String

showList :: [WrappedMonoid m] -> ShowS

Show a => Show (Option a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

showsPrec :: Int -> Option a -> ShowS

show :: Option a -> String

showList :: [Option a] -> ShowS

Show a => Show (ZipList a)

Since: base-4.7.0.0

Defined in Control.Applicative

Methods

showsPrec :: Int -> ZipList a -> ShowS

show :: ZipList a -> String

showList :: [ZipList a] -> ShowS

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

Defined in Data.Functor.Identity

Methods

showsPrec :: Int -> Identity a -> ShowS

show :: Identity a -> String

showList :: [Identity a] -> ShowS

Show a => Show (First a)

Since: base-2.1

Defined in Data.Monoid

Methods

showsPrec :: Int -> First a -> ShowS

show :: First a -> String

showList :: [First a] -> ShowS

Show a => Show (Last a)

Since: base-2.1

Defined in Data.Monoid

Methods

showsPrec :: Int -> Last a -> ShowS

show :: Last a -> String

showList :: [Last a] -> ShowS

Show a => Show (Dual a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

showsPrec :: Int -> Dual a -> ShowS

show :: Dual a -> String

showList :: [Dual a] -> ShowS

Show a => Show (Sum a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

showsPrec :: Int -> Sum a -> ShowS

show :: Sum a -> String

showList :: [Sum a] -> ShowS

Show a => Show (Product a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

showsPrec :: Int -> Product a -> ShowS

show :: Product a -> String

showList :: [Product a] -> ShowS

Show a => Show (Down a)

This instance would be equivalent to the derived instances of the Down newtype if the getDown field were removed

Since: base-4.7.0.0

Defined in Data.Ord

Methods

showsPrec :: Int -> Down a -> ShowS

show :: Down a -> String

showList :: [Down a] -> ShowS

Show a => Show (NonEmpty a)

Since: base-4.11.0.0

Defined in GHC.Show

Methods

showsPrec :: Int -> NonEmpty a -> ShowS

show :: NonEmpty a -> String

showList :: [NonEmpty a] -> ShowS

Show a => Show (IntMap a)

Defined in Data.IntMap.Internal

Methods

showsPrec :: Int -> IntMap a -> ShowS

show :: IntMap a -> String

showList :: [IntMap a] -> ShowS

Show a => Show (Seq a)

Defined in Data.Sequence.Internal

Methods

showsPrec :: Int -> Seq a -> ShowS

show :: Seq a -> String

showList :: [Seq a] -> ShowS

Show a => Show (ViewL a)

Defined in Data.Sequence.Internal

Methods

showsPrec :: Int -> ViewL a -> ShowS

show :: ViewL a -> String

showList :: [ViewL a] -> ShowS

Show a => Show (ViewR a)

Defined in Data.Sequence.Internal

Methods

showsPrec :: Int -> ViewR a -> ShowS

show :: ViewR a -> String

showList :: [ViewR a] -> ShowS

Show a => Show (Set a)

Defined in Data.Set.Internal

Methods

showsPrec :: Int -> Set a -> ShowS

show :: Set a -> String

showList :: [Set a] -> ShowS

Show a => Show (ExitCase a)

Defined in Control.Monad.Catch

Methods

showsPrec :: Int -> ExitCase a -> ShowS

show :: ExitCase a -> String

showList :: [ExitCase a] -> ShowS

Show a => Show (Hashed a)

Defined in Data.Hashable.Class

Methods

showsPrec :: Int -> Hashed a -> ShowS

show :: Hashed a -> String

showList :: [Hashed a] -> ShowS

Show a => Show (HashSet a)

Defined in Data.HashSet.Internal

Methods

showsPrec :: Int -> HashSet a -> ShowS

show :: HashSet a -> String

showList :: [HashSet a] -> ShowS

Show a => Show (Vector a)

Defined in Data.Vector

Methods

showsPrec :: Int -> Vector a -> ShowS

show :: Vector a -> String

showList :: [Vector a] -> ShowS

Show (Doc a)

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

showsPrec :: Int -> Doc a -> ShowS

show :: Doc a -> String

showList :: [Doc a] -> ShowS

Show a => Show (AnnotDetails a)

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

showsPrec :: Int -> AnnotDetails a -> ShowS

show :: AnnotDetails a -> String

showList :: [AnnotDetails a] -> ShowS

Show a => Show (Span a)

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

showsPrec :: Int -> Span a -> ShowS

show :: Span a -> String

showList :: [Span a] -> ShowS

(Show a, Show b) => Show (Either a b)

Since: base-3.0

Defined in Data.Either

Methods

showsPrec :: Int -> Either a b -> ShowS

show :: Either a b -> String

showList :: [Either a b] -> ShowS

Show (V1 p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

showsPrec :: Int -> V1 p -> ShowS

show :: V1 p -> String

showList :: [V1 p] -> ShowS

Show (U1 p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

showsPrec :: Int -> U1 p -> ShowS

show :: U1 p -> String

showList :: [U1 p] -> ShowS

Show (TypeRep a)

Defined in Data.Typeable.Internal

Methods

showsPrec :: Int -> TypeRep a -> ShowS

show :: TypeRep a -> String

showList :: [TypeRep a] -> ShowS

(Show a, Show b) => Show (a, b)

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> (a, b) -> ShowS

show :: (a, b) -> String

showList :: [(a, b)] -> ShowS

(Show a, Show b) => Show (Arg a b)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

showsPrec :: Int -> Arg a b -> ShowS

show :: Arg a b -> String

showList :: [Arg a b] -> ShowS

Show (Proxy s)

Since: base-4.7.0.0

Defined in Data.Proxy

Methods

showsPrec :: Int -> Proxy s -> ShowS

show :: Proxy s -> String

showList :: [Proxy s] -> ShowS

(Show k, Show a) => Show (Map k a)

Defined in Data.Map.Internal

Methods

showsPrec :: Int -> Map k a -> ShowS

show :: Map k a -> String

showList :: [Map k a] -> ShowS

(Show1 m, Show a) => Show (MaybeT m a)

Defined in Control.Monad.Trans.Maybe

Methods

showsPrec :: Int -> MaybeT m a -> ShowS

show :: MaybeT m a -> String

showList :: [MaybeT m a] -> ShowS

(Show1 f, Show a) => Show (Cofree f a)

Defined in Control.Comonad.Cofree

Methods

showsPrec :: Int -> Cofree f a -> ShowS

show :: Cofree f a -> String

showList :: [Cofree f a] -> ShowS

(Show1 f, Show a) => Show (Free f a)

Defined in Control.Monad.Free

Methods

showsPrec :: Int -> Free f a -> ShowS

show :: Free f a -> String

showList :: [Free f a] -> ShowS

Show (f a) => Show (Yoneda f a)

Defined in Data.Functor.Yoneda

Methods

showsPrec :: Int -> Yoneda f a -> ShowS

show :: Yoneda f a -> String

showList :: [Yoneda f a] -> ShowS

(Show k, Show v) => Show (HashMap k v)

Defined in Data.HashMap.Internal

Methods

showsPrec :: Int -> HashMap k v -> ShowS

show :: HashMap k v -> String

showList :: [HashMap k v] -> ShowS

Show (f p) => Show (Rec1 f p)

Since: base-4.7.0.0

Defined in GHC.Generics

Methods

showsPrec :: Int -> Rec1 f p -> ShowS

show :: Rec1 f p -> String

showList :: [Rec1 f p] -> ShowS

Show (URec Char p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

showsPrec :: Int -> URec Char p -> ShowS

show :: URec Char p -> String

showList :: [URec Char p] -> ShowS

Show (URec Double p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

showsPrec :: Int -> URec Double p -> ShowS

show :: URec Double p -> String

showList :: [URec Double p] -> ShowS

Show (URec Float p)

Defined in GHC.Generics

Methods

showsPrec :: Int -> URec Float p -> ShowS

show :: URec Float p -> String

showList :: [URec Float p] -> ShowS

Show (URec Int p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

showsPrec :: Int -> URec Int p -> ShowS

show :: URec Int p -> String

showList :: [URec Int p] -> ShowS

Show (URec Word p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

showsPrec :: Int -> URec Word p -> ShowS

show :: URec Word p -> String

showList :: [URec Word p] -> ShowS

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

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> (a, b, c) -> ShowS

show :: (a, b, c) -> String

showList :: [(a, b, c)] -> ShowS

Show a => Show (Const a b)

This instance would be equivalent to the derived instances of the Const newtype if the getConst field were removed

Since: base-4.8.0.0

Defined in Data.Functor.Const

Methods

showsPrec :: Int -> Const a b -> ShowS

show :: Const a b -> String

showList :: [Const a b] -> ShowS

Show (f a) => Show (Ap f a)

Since: base-4.12.0.0

Defined in Data.Monoid

Methods

showsPrec :: Int -> Ap f a -> ShowS

show :: Ap f a -> String

showList :: [Ap f a] -> ShowS

Show (f a) => Show (Alt f a)

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

showsPrec :: Int -> Alt f a -> ShowS

show :: Alt f a -> String

showList :: [Alt f a] -> ShowS

Show (p a a) => Show (Join p a)

Defined in Data.Bifunctor.Join

Methods

showsPrec :: Int -> Join p a -> ShowS

show :: Join p a -> String

showList :: [Join p a] -> ShowS

Show (p (Fix p a) a) => Show (Fix p a)

Defined in Data.Bifunctor.Fix

Methods

showsPrec :: Int -> Fix p a -> ShowS

show :: Fix p a -> String

showList :: [Fix p a] -> ShowS

(Show1 f, Show a) => Show (IdentityT f a)

Defined in Control.Monad.Trans.Identity

Methods

showsPrec :: Int -> IdentityT f a -> ShowS

show :: IdentityT f a -> String

showList :: [IdentityT f a] -> ShowS

(Show e, Show1 m, Show a) => Show (ExceptT e m a)

Defined in Control.Monad.Trans.Except

Methods

showsPrec :: Int -> ExceptT e m a -> ShowS

show :: ExceptT e m a -> String

showList :: [ExceptT e m a] -> ShowS

(Show a, Show (f b)) => Show (FreeF f a b)

Defined in Control.Monad.Trans.Free

Methods

showsPrec :: Int -> FreeF f a b -> ShowS

show :: FreeF f a b -> String

showList :: [FreeF f a b] -> ShowS

(Show1 f, Show1 m, Show a) => Show (FreeT f m a)

Defined in Control.Monad.Trans.Free

Methods

showsPrec :: Int -> FreeT f m a -> ShowS

show :: FreeT f m a -> String

showList :: [FreeT f m a] -> ShowS

(Show a, Show (f b)) => Show (CofreeF f a b)

Defined in Control.Comonad.Trans.Cofree

Methods

showsPrec :: Int -> CofreeF f a b -> ShowS

show :: CofreeF f a b -> String

showList :: [CofreeF f a b] -> ShowS

Show (w (CofreeF f a (CofreeT f w a))) => Show (CofreeT f w a)

Defined in Control.Comonad.Trans.Cofree

Methods

showsPrec :: Int -> CofreeT f w a -> ShowS

show :: CofreeT f w a -> String

showList :: [CofreeT f w a] -> ShowS

(Show e, Show1 m, Show a) => Show (ErrorT e m a)

Defined in Control.Monad.Trans.Error

Methods

showsPrec :: Int -> ErrorT e m a -> ShowS

show :: ErrorT e m a -> String

showList :: [ErrorT e m a] -> ShowS

Show b => Show (Tagged s b)

Defined in Data.Tagged

Methods

showsPrec :: Int -> Tagged s b -> ShowS

show :: Tagged s b -> String

showList :: [Tagged s b] -> ShowS

Show c => Show (K1 i c p)

Since: base-4.7.0.0

Defined in GHC.Generics

Methods

showsPrec :: Int -> K1 i c p -> ShowS

show :: K1 i c p -> String

showList :: [K1 i c p] -> ShowS

(Show (f p), Show (g p)) => Show ((f :+: g) p)

Since: base-4.7.0.0

Defined in GHC.Generics

Methods

showsPrec :: Int -> (f :+: g) p -> ShowS

show :: (f :+: g) p -> String

showList :: [(f :+: g) p] -> ShowS

(Show (f p), Show (g p)) => Show ((f :*: g) p)

Since: base-4.7.0.0

Defined in GHC.Generics

Methods

showsPrec :: Int -> (f :*: g) p -> ShowS

show :: (f :*: g) p -> String

showList :: [(f :*: g) p] -> ShowS

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

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> (a, b, c, d) -> ShowS

show :: (a, b, c, d) -> String

showList :: [(a, b, c, d)] -> ShowS

Show (f p) => Show (M1 i c f p)

Since: base-4.7.0.0

Defined in GHC.Generics

Methods

showsPrec :: Int -> M1 i c f p -> ShowS

show :: M1 i c f p -> String

showList :: [M1 i c f p] -> ShowS

Show (f (g p)) => Show ((f :.: g) p)

Since: base-4.7.0.0

Defined in GHC.Generics

Methods

showsPrec :: Int -> (f :.: g) p -> ShowS

show :: (f :.: g) p -> String

showList :: [(f :.: g) p] -> ShowS

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

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> (a, b, c, d, e) -> ShowS

show :: (a, b, c, d, e) -> String

showList :: [(a, b, c, d, e)] -> ShowS

(Show1 f, Show1 g, Show a) => Show (Compose f g a)

Since: base-4.9.0.0

Defined in Data.Functor.Compose

Methods

showsPrec :: Int -> Compose f g a -> ShowS

show :: Compose f g a -> String

showList :: [Compose f g a] -> ShowS

Show (p a b) => Show (WrappedBifunctor p a b)

Defined in Data.Bifunctor.Wrapped

Methods

showsPrec :: Int -> WrappedBifunctor p a b -> ShowS

show :: WrappedBifunctor p a b -> String

showList :: [WrappedBifunctor p a b] -> ShowS

Show (g b) => Show (Joker g a b)

Defined in Data.Bifunctor.Joker

Methods

showsPrec :: Int -> Joker g a b -> ShowS

show :: Joker g a b -> String

showList :: [Joker g a b] -> ShowS

Show (p b a) => Show (Flip p a b)

Defined in Data.Bifunctor.Flip

Methods

showsPrec :: Int -> Flip p a b -> ShowS

show :: Flip p a b -> String

showList :: [Flip p a b] -> ShowS

Show (f a) => Show (Clown f a b)

Defined in Data.Bifunctor.Clown

Methods

showsPrec :: Int -> Clown f a b -> ShowS

show :: Clown f a b -> String

showList :: [Clown f a b] -> ShowS

(Show a, Show b, Show c, Show d, Show e, Show f) => Show (a, b, c, d, e, f)

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> (a, b, c, d, e, f) -> ShowS

show :: (a, b, c, d, e, f) -> String

showList :: [(a, b, c, d, e, f)] -> ShowS

(Show (p a b), Show (q a b)) => Show (Sum p q a b)

Defined in Data.Bifunctor.Sum

Methods

showsPrec :: Int -> Sum p q a b -> ShowS

show :: Sum p q a b -> String

showList :: [Sum p q a b] -> ShowS

(Show (f a b), Show (g a b)) => Show (Product f g a b)

Defined in Data.Bifunctor.Product

Methods

showsPrec :: Int -> Product f g a b -> ShowS

show :: Product f g a b -> String

showList :: [Product f g a b] -> ShowS

(Show a, Show b, Show c, Show d, Show e, Show f, Show g) => Show (a, b, c, d, e, f, g)

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> (a, b, c, d, e, f, g) -> ShowS

show :: (a, b, c, d, e, f, g) -> String

showList :: [(a, b, c, d, e, f, g)] -> ShowS

Show (f (p a b)) => Show (Tannen f p a b)

Defined in Data.Bifunctor.Tannen

Methods

showsPrec :: Int -> Tannen f p a b -> ShowS

show :: Tannen f p a b -> String

showList :: [Tannen f p a b] -> ShowS

(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h) => Show (a, b, c, d, e, f, g, h)

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> (a, b, c, d, e, f, g, h) -> ShowS

show :: (a, b, c, d, e, f, g, h) -> String

showList :: [(a, b, c, d, e, f, g, h)] -> ShowS

(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h, Show i) => Show (a, b, c, d, e, f, g, h, i)

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> (a, b, c, d, e, f, g, h, i) -> ShowS

show :: (a, b, c, d, e, f, g, h, i) -> String

showList :: [(a, b, c, d, e, f, g, h, i)] -> ShowS

Show (p (f a) (g b)) => Show (Biff p f g a b)

Defined in Data.Bifunctor.Biff

Methods

showsPrec :: Int -> Biff p f g a b -> ShowS

show :: Biff p f g a b -> String

showList :: [Biff p f g a b] -> ShowS

(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h, Show i, Show j) => Show (a, b, c, d, e, f, g, h, i, j)

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j) -> ShowS

show :: (a, b, c, d, e, f, g, h, i, j) -> String

showList :: [(a, b, c, d, e, f, g, h, i, j)] -> ShowS

(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h, Show i, Show j, Show k) => Show (a, b, c, d, e, f, g, h, i, j, k)

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j, k) -> ShowS

show :: (a, b, c, d, e, f, g, h, i, j, k) -> String

showList :: [(a, b, c, d, e, f, g, h, i, j, k)] -> ShowS

(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h, Show i, Show j, Show k, Show l) => Show (a, b, c, d, e, f, g, h, i, j, k, l)

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j, k, l) -> ShowS

show :: (a, b, c, d, e, f, g, h, i, j, k, l) -> String

showList :: [(a, b, c, d, e, f, g, h, i, j, k, l)] -> ShowS

(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h, Show i, Show j, Show k, Show l, Show m) => Show (a, b, c, d, e, f, g, h, i, j, k, l, m)

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> ShowS

show :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> String

showList :: [(a, b, c, d, e, f, g, h, i, j, k, l, m)] -> ShowS

(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h, Show i, Show j, Show k, Show l, Show m, Show n) => Show (a, b, c, d, e, f, g, h, i, j, k, l, m, n)

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> ShowS

show :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> String

showList :: [(a, b, c, d, e, f, g, h, i, j, k, l, m, n)] -> ShowS

(Show a, Show b, Show c, Show d, Show e, Show f, Show g, Show h, Show i, Show j, Show k, Show l, Show m, Show n, Show o) => Show (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> ShowS

show :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> String

showList :: [(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)] -> ShowS

class Typeable (a :: k)

The class Typeable allows a concrete representation of a type to be calculated.

Minimal complete definition

typeRep#

class Monad m => MonadFail (m :: Type -> Type) where

When a value is bound in do-notation, the pattern on the left hand side of <- might not match. In this case, this class provides a function to recover.

A Monad without a MonadFail instance may only be used in conjunction with pattern that always match, such as newtypes, tuples, data types with only a single data constructor, and irrefutable patterns (~pat).

Instances of MonadFail should satisfy the following law: fail s should be a left zero for >>=,

fail s >>= f  =  fail s

If your Monad is also MonadPlus, a popular definition is

fail _ = mzero

Since: base-4.9.0.0

Methods

fail :: String -> m a

Instances

MonadFail []

Since: base-4.9.0.0

Defined in Control.Monad.Fail

Methods

fail :: String -> [a]

MonadFail Maybe

Since: base-4.9.0.0

Defined in Control.Monad.Fail

Methods

fail :: String -> Maybe a

MonadFail IO

Since: base-4.9.0.0

Defined in Control.Monad.Fail

Methods

fail :: String -> IO a

MonadFail ReadP

Since: base-4.9.0.0

Defined in Text.ParserCombinators.ReadP

Methods

fail :: String -> ReadP a

MonadFail Vector

Since: vector-0.12.1.0

Defined in Data.Vector

Methods

fail :: String -> Vector a

MonadFail P

Since: base-4.9.0.0

Defined in Text.ParserCombinators.ReadP

Methods

fail :: String -> P a

Monad m => MonadFail (MaybeT m)

Defined in Control.Monad.Trans.Maybe

Methods

fail :: String -> MaybeT m a

MonadFail f => MonadFail (Ap f)

Since: base-4.12.0.0

Defined in Data.Monoid

Methods

fail :: String -> Ap f a

MonadFail m => MonadFail (IdentityT m)

Defined in Control.Monad.Trans.Identity

Methods

fail :: String -> IdentityT m a

MonadFail m => MonadFail (ExceptT e m)

Defined in Control.Monad.Trans.Except

Methods

fail :: String -> ExceptT e m a

(Functor f, MonadFail m) => MonadFail (FreeT f m)

Defined in Control.Monad.Trans.Free

Methods

fail :: String -> FreeT f m a

(Monad m, Error e) => MonadFail (ErrorT e m)

Defined in Control.Monad.Trans.Error

Methods

fail :: String -> ErrorT e m a

MonadFail m => MonadFail (StateT s m)

Defined in Control.Monad.Trans.State.Strict

Methods

fail :: String -> StateT s m a

MonadFail m => MonadFail (ReaderT r m)

Defined in Control.Monad.Trans.Reader

Methods

fail :: String -> ReaderT r m a

class IsString a where

Class for string-like datastructures; used by the overloaded string extension (-XOverloadedStrings in GHC).

Methods

fromString :: String -> a

Instances

IsString ByteString

Beware: fromString truncates multi-byte characters to octets. e.g. "枯朶に烏のとまりけり秋の暮" becomes �6k�nh~�Q��n�

Defined in Data.ByteString.Internal

Methods

fromString :: String -> ByteString

IsString Doc

Defined in Text.PrettyPrint.HughesPJ

Methods

fromString :: String -> Doc

a ~ Char => IsString [a]

(a ~ Char) context was introduced in 4.9.0.0

Since: base-2.1

Defined in Data.String

Methods

fromString :: String -> [a]

IsString a => IsString (Identity a)

Since: base-4.9.0.0

Defined in Data.String

Methods

fromString :: String -> Identity a

a ~ Char => IsString (Seq a)

Since: containers-0.5.7

Defined in Data.Sequence.Internal

Methods

fromString :: String -> Seq a

(IsString a, Hashable a) => IsString (Hashed a)

Defined in Data.Hashable.Class

Methods

fromString :: String -> Hashed a

IsString (Doc a)

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

fromString :: String -> Doc a

IsString a => IsString (Const a b)

Since: base-4.9.0.0

Defined in Data.String

Methods

fromString :: String -> Const a b

IsString a => IsString (Tagged s a)

Defined in Data.Tagged

Methods

fromString :: String -> Tagged s a

class Functor f => Applicative (f :: Type -> Type) where

A functor with application, providing operations to

• embed pure expressions (pure), and
• sequence computations and combine their results (<*> and liftA2).

A minimal complete definition must include implementations of pure and of either <*> or liftA2. If it defines both, then they must behave the same as their default definitions:

(<*>) = liftA2 id

liftA2 f x y = f <$> x <*> y

Further, any definition must satisfy the following:

Identity

pure id <*> v = v

Composition

pure (.) <*> u <*> v <*> w = u <*> (v <*> w)

Homomorphism

pure f <*> pure x = pure (f x)

Interchange

u <*> pure y = pure ($ y) <*> u

The other methods have the following default definitions, which may be overridden with equivalent specialized implementations:

• u *> v = (id <$ u) <*> v

• u <* v = liftA2 const u v

As a consequence of these laws, the Functor instance for f will satisfy

• fmap f x = pure f <*> x

It may be useful to note that supposing

forall x y. p (q x y) = f x . g y

it follows from the above that

liftA2 p (liftA2 q u v) = liftA2 f u . liftA2 g v

If f is also a Monad, it should satisfy

• pure = return

• m1 <*> m2 = m1 >>= (x1 -> m2 >>= (x2 -> return (x1 x2)))

• (*>) = (>>)

(which implies that pure and <*> satisfy the applicative functor laws).

Minimal complete definition

pure, ((<*>) | liftA2)

Methods

pure :: a -> f a

Lift a value.

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

Sequential application.

A few functors support an implementation of <*> that is more efficient than the default one.

Using ApplicativeDo: 'fs <*> as' can be understood as the do expression

do f <- fs
   a <- as
   pure (f a)

liftA2 :: (a -> b -> c) -> f a -> f b -> f c

Lift a binary function to actions.

Some functors support an implementation of liftA2 that is more efficient than the default one. In particular, if fmap is an expensive operation, it is likely better to use liftA2 than to fmap over the structure and then use <*>.

This became a typeclass method in 4.10.0.0. Prior to that, it was a function defined in terms of <*> and fmap.

Using ApplicativeDo: 'liftA2 f as bs' can be understood as the do expression

do a <- as
   b <- bs
   pure (f a b)

(*>) :: f a -> f b -> f b infixl 4

Sequence actions, discarding the value of the first argument.

'as *> bs' can be understood as the do expression

do as
   bs

This is a tad complicated for our ApplicativeDo extension which will give it a Monad constraint. For an Applicative constraint we write it of the form

do _ <- as
   b <- bs
   pure b

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

Sequence actions, discarding the value of the second argument.

Using ApplicativeDo: 'as <* bs' can be understood as the do expression

do a <- as
   bs
   pure a

Instances

Applicative []

Since: base-2.1

Defined in GHC.Base

Methods

pure :: a -> [a]

(<*>) :: [a -> b] -> [a] -> [b]

liftA2 :: (a -> b -> c) -> [a] -> [b] -> [c]

(*>) :: [a] -> [b] -> [b]

(<*) :: [a] -> [b] -> [a]

Applicative Maybe

Since: base-2.1

Defined in GHC.Base

Methods

pure :: a -> Maybe a

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

liftA2 :: (a -> b -> c) -> Maybe a -> Maybe b -> Maybe c

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

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

Applicative IO

Since: base-2.1

Defined in GHC.Base

Methods

pure :: a -> IO a

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

liftA2 :: (a -> b -> c) -> IO a -> IO b -> IO c

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

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

Applicative Par1

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

pure :: a -> Par1 a

(<*>) :: Par1 (a -> b) -> Par1 a -> Par1 b

liftA2 :: (a -> b -> c) -> Par1 a -> Par1 b -> Par1 c

(*>) :: Par1 a -> Par1 b -> Par1 b

(<*) :: Par1 a -> Par1 b -> Par1 a

Applicative Min

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

pure :: a -> Min a

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

liftA2 :: (a -> b -> c) -> Min a -> Min b -> Min c

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

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

Applicative Max

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

pure :: a -> Max a

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

liftA2 :: (a -> b -> c) -> Max a -> Max b -> Max c

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

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

Applicative First

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

pure :: a -> First a

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

liftA2 :: (a -> b -> c) -> First a -> First b -> First c

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

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

Applicative Last

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

pure :: a -> Last a

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

liftA2 :: (a -> b -> c) -> Last a -> Last b -> Last c

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

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

Applicative Option

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

pure :: a -> Option a

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

liftA2 :: (a -> b -> c) -> Option a -> Option b -> Option c

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

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

Applicative ZipList

f <$> ZipList xs1 <*> ... <*> ZipList xsN
    = ZipList (zipWithN f xs1 ... xsN)

where zipWithN refers to the zipWith function of the appropriate arity (zipWith, zipWith3, zipWith4, ...). For example:

(\a b c -> stimes c [a, b]) <$> ZipList "abcd" <*> ZipList "567" <*> ZipList [1..]
    = ZipList (zipWith3 (\a b c -> stimes c [a, b]) "abcd" "567" [1..])
    = ZipList {getZipList = ["a5","b6b6","c7c7c7"]}

Since: base-2.1

Defined in Control.Applicative

Methods

pure :: a -> ZipList a

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

liftA2 :: (a -> b -> c) -> ZipList a -> ZipList b -> ZipList c

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

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

Applicative Identity

Since: base-4.8.0.0

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

Applicative STM

Since: base-4.8.0.0

Defined in GHC.Conc.Sync

Methods

pure :: a -> STM a

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

liftA2 :: (a -> b -> c) -> STM a -> STM b -> STM c

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

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

Applicative First

Since: base-4.8.0.0

Defined in Data.Monoid

Methods

pure :: a -> First a

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

liftA2 :: (a -> b -> c) -> First a -> First b -> First c

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

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

Applicative Last

Since: base-4.8.0.0

Defined in Data.Monoid

Methods

pure :: a -> Last a

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

liftA2 :: (a -> b -> c) -> Last a -> Last b -> Last c

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

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

Applicative Dual

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

pure :: a -> Dual a

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

liftA2 :: (a -> b -> c) -> Dual a -> Dual b -> Dual c

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

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

Applicative Sum

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

pure :: a -> Sum a

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

liftA2 :: (a -> b -> c) -> Sum a -> Sum b -> Sum c

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

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

Applicative Product

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

pure :: a -> Product a

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

liftA2 :: (a -> b -> c) -> Product a -> Product b -> Product c

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

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

Applicative Down

Since: base-4.11.0.0

Defined in Data.Ord

Methods

pure :: a -> Down a

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

liftA2 :: (a -> b -> c) -> Down a -> Down b -> Down c

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

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

Applicative ReadP

Since: base-4.6.0.0

Defined in Text.ParserCombinators.ReadP

Methods

pure :: a -> ReadP a

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

liftA2 :: (a -> b -> c) -> ReadP a -> ReadP b -> ReadP c

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

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

Applicative NonEmpty

Since: base-4.9.0.0

Defined in GHC.Base

Methods

pure :: a -> NonEmpty a

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

liftA2 :: (a -> b -> c) -> NonEmpty a -> NonEmpty b -> NonEmpty c

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

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

Applicative Seq

Since: containers-0.5.4

Defined in Data.Sequence.Internal

Methods

pure :: a -> Seq a

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

liftA2 :: (a -> b -> c) -> Seq a -> Seq b -> Seq c

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

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

Applicative Vector

Defined in Data.Vector

Methods

pure :: a -> Vector a

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

liftA2 :: (a -> b -> c) -> Vector a -> Vector b -> Vector c

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

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

Applicative P

Since: base-4.5.0.0

Defined in Text.ParserCombinators.ReadP

Methods

pure :: a -> P a

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

liftA2 :: (a -> b -> c) -> P a -> P b -> P c

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

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

Applicative (Either e)

Since: base-3.0

Defined in Data.Either

Methods

pure :: a -> Either e a

(<*>) :: Either e (a -> b) -> Either e a -> Either e b

liftA2 :: (a -> b -> c) -> Either e a -> Either e b -> Either e c

(*>) :: Either e a -> Either e b -> Either e b

(<*) :: Either e a -> Either e b -> Either e a

Applicative (U1 :: Type -> Type)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

pure :: a -> U1 a

(<*>) :: U1 (a -> b) -> U1 a -> U1 b

liftA2 :: (a -> b -> c) -> U1 a -> U1 b -> U1 c

(*>) :: U1 a -> U1 b -> U1 b

(<*) :: U1 a -> U1 b -> U1 a

Monoid a => Applicative ((,) a)

For tuples, the Monoid constraint on a determines how the first values merge. For example, Strings concatenate:

("hello ", (+15)) <*> ("world!", 2002)
("hello world!",2017)

Since: base-2.1

Defined in GHC.Base

Methods

pure :: a0 -> (a, a0)

(<*>) :: (a, a0 -> b) -> (a, a0) -> (a, b)

liftA2 :: (a0 -> b -> c) -> (a, a0) -> (a, b) -> (a, c)

(*>) :: (a, a0) -> (a, b) -> (a, b)

(<*) :: (a, a0) -> (a, b) -> (a, a0)

Representable f => Applicative (Co f)

Defined in Data.Functor.Rep

Methods

pure :: a -> Co f a

(<*>) :: Co f (a -> b) -> Co f a -> Co f b

liftA2 :: (a -> b -> c) -> Co f a -> Co f b -> Co f c

(*>) :: Co f a -> Co f b -> Co f b

(<*) :: Co f a -> Co f b -> Co f a

Monad m => Applicative (WrappedMonad m)

Since: base-2.1

Defined in Control.Applicative

Methods

pure :: a -> WrappedMonad m a

(<*>) :: WrappedMonad m (a -> b) -> WrappedMonad m a -> WrappedMonad m b

liftA2 :: (a -> b -> c) -> WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m c

(*>) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m b

(<*) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m a

Arrow a => Applicative (ArrowMonad a)

Since: base-4.6.0.0

Defined in Control.Arrow

Methods

pure :: a0 -> ArrowMonad a a0

(<*>) :: ArrowMonad a (a0 -> b) -> ArrowMonad a a0 -> ArrowMonad a b

liftA2 :: (a0 -> b -> c) -> ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a c

(*>) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a b

(<*) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a a0

Applicative (Proxy :: Type -> Type)

Since: base-4.7.0.0

Defined in Data.Proxy

Methods

pure :: a -> Proxy a

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

liftA2 :: (a -> b -> c) -> Proxy a -> Proxy b -> Proxy c

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

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

(Functor m, Monad m) => Applicative (MaybeT m)

Defined in Control.Monad.Trans.Maybe

Methods

pure :: a -> MaybeT m a

(<*>) :: MaybeT m (a -> b) -> MaybeT m a -> MaybeT m b

liftA2 :: (a -> b -> c) -> MaybeT m a -> MaybeT m b -> MaybeT m c

(*>) :: MaybeT m a -> MaybeT m b -> MaybeT m b

(<*) :: MaybeT m a -> MaybeT m b -> MaybeT m a

Alternative f => Applicative (Cofree f)

Defined in Control.Comonad.Cofree

Methods

pure :: a -> Cofree f a

(<*>) :: Cofree f (a -> b) -> Cofree f a -> Cofree f b

liftA2 :: (a -> b -> c) -> Cofree f a -> Cofree f b -> Cofree f c

(*>) :: Cofree f a -> Cofree f b -> Cofree f b

(<*) :: Cofree f a -> Cofree f b -> Cofree f a

Functor f => Applicative (Free f)

Defined in Control.Monad.Free

Methods

pure :: a -> Free f a

(<*>) :: Free f (a -> b) -> Free f a -> Free f b

liftA2 :: (a -> b -> c) -> Free f a -> Free f b -> Free f c

(*>) :: Free f a -> Free f b -> Free f b

(<*) :: Free f a -> Free f b -> Free f a

Applicative f => Applicative (Yoneda f)

Defined in Data.Functor.Yoneda

Methods

pure :: a -> Yoneda f a

(<*>) :: Yoneda f (a -> b) -> Yoneda f a -> Yoneda f b

liftA2 :: (a -> b -> c) -> Yoneda f a -> Yoneda f b -> Yoneda f c

(*>) :: Yoneda f a -> Yoneda f b -> Yoneda f b

(<*) :: Yoneda f a -> Yoneda f b -> Yoneda f a

Applicative (ReifiedGetter s)

Defined in Control.Lens.Reified

Methods

pure :: a -> ReifiedGetter s a

(<*>) :: ReifiedGetter s (a -> b) -> ReifiedGetter s a -> ReifiedGetter s b

liftA2 :: (a -> b -> c) -> ReifiedGetter s a -> ReifiedGetter s b -> ReifiedGetter s c

(*>) :: ReifiedGetter s a -> ReifiedGetter s b -> ReifiedGetter s b

(<*) :: ReifiedGetter s a -> ReifiedGetter s b -> ReifiedGetter s a

Applicative (ReifiedFold s)

Defined in Control.Lens.Reified

Methods

pure :: a -> ReifiedFold s a

(<*>) :: ReifiedFold s (a -> b) -> ReifiedFold s a -> ReifiedFold s b

liftA2 :: (a -> b -> c) -> ReifiedFold s a -> ReifiedFold s b -> ReifiedFold s c

(*>) :: ReifiedFold s a -> ReifiedFold s b -> ReifiedFold s b

(<*) :: ReifiedFold s a -> ReifiedFold s b -> ReifiedFold s a

Applicative f => Applicative (Indexing f)

Defined in Control.Lens.Internal.Indexed

Methods

pure :: a -> Indexing f a

(<*>) :: Indexing f (a -> b) -> Indexing f a -> Indexing f b

liftA2 :: (a -> b -> c) -> Indexing f a -> Indexing f b -> Indexing f c

(*>) :: Indexing f a -> Indexing f b -> Indexing f b

(<*) :: Indexing f a -> Indexing f b -> Indexing f a

Applicative f => Applicative (Indexing64 f)

Defined in Control.Lens.Internal.Indexed

Methods

pure :: a -> Indexing64 f a

(<*>) :: Indexing64 f (a -> b) -> Indexing64 f a -> Indexing64 f b

liftA2 :: (a -> b -> c) -> Indexing64 f a -> Indexing64 f b -> Indexing64 f c

(*>) :: Indexing64 f a -> Indexing64 f b -> Indexing64 f b

(<*) :: Indexing64 f a -> Indexing64 f b -> Indexing64 f a

(Applicative (Rep p), Representable p) => Applicative (Prep p)

Defined in Data.Profunctor.Rep

Methods

pure :: a -> Prep p a

(<*>) :: Prep p (a -> b) -> Prep p a -> Prep p b

liftA2 :: (a -> b -> c) -> Prep p a -> Prep p b -> Prep p c

(*>) :: Prep p a -> Prep p b -> Prep p b

(<*) :: Prep p a -> Prep p b -> Prep p a

Applicative f => Applicative (Rec1 f)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

pure :: a -> Rec1 f a

(<*>) :: Rec1 f (a -> b) -> Rec1 f a -> Rec1 f b

liftA2 :: (a -> b -> c) -> Rec1 f a -> Rec1 f b -> Rec1 f c

(*>) :: Rec1 f a -> Rec1 f b -> Rec1 f b

(<*) :: Rec1 f a -> Rec1 f b -> Rec1 f a

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

Since: base-4.14.0.0

Defined in GHC.Base

Methods

pure :: a0 -> (a, b, a0)

(<*>) :: (a, b, a0 -> b0) -> (a, b, a0) -> (a, b, b0)

liftA2 :: (a0 -> b0 -> c) -> (a, b, a0) -> (a, b, b0) -> (a, b, c)

(*>) :: (a, b, a0) -> (a, b, b0) -> (a, b, b0)

(<*) :: (a, b, a0) -> (a, b, b0) -> (a, b, a0)

Arrow a => Applicative (WrappedArrow a b)

Since: base-2.1

Defined in Control.Applicative

Methods

pure :: a0 -> WrappedArrow a b a0

(<*>) :: WrappedArrow a b (a0 -> b0) -> WrappedArrow a b a0 -> WrappedArrow a b b0

liftA2 :: (a0 -> b0 -> c) -> WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b c

(*>) :: WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b b0

(<*) :: WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b a0

Applicative m => Applicative (Kleisli m a)

Since: base-4.14.0.0

Defined in Control.Arrow

Methods

pure :: a0 -> Kleisli m a a0

(<*>) :: Kleisli m a (a0 -> b) -> Kleisli m a a0 -> Kleisli m a b

liftA2 :: (a0 -> b -> c) -> Kleisli m a a0 -> Kleisli m a b -> Kleisli m a c

(*>) :: Kleisli m a a0 -> Kleisli m a b -> Kleisli m a b

(<*) :: Kleisli m a a0 -> Kleisli m a b -> Kleisli m a a0

Monoid m => Applicative (Const m :: Type -> Type)

Since: base-2.0.1

Defined in Data.Functor.Const

Methods

pure :: a -> Const m a

(<*>) :: Const m (a -> b) -> Const m a -> Const m b

liftA2 :: (a -> b -> c) -> Const m a -> Const m b -> Const m c

(*>) :: Const m a -> Const m b -> Const m b

(<*) :: Const m a -> Const m b -> Const m a

Applicative f => Applicative (Ap f)

Since: base-4.12.0.0

Defined in Data.Monoid

Methods

pure :: a -> Ap f a

(<*>) :: Ap f (a -> b) -> Ap f a -> Ap f b

liftA2 :: (a -> b -> c) -> Ap f a -> Ap f b -> Ap f c

(*>) :: Ap f a -> Ap f b -> Ap f b

(<*) :: Ap f a -> Ap f b -> Ap f a

Applicative f => Applicative (Alt f)

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

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

Biapplicative p => Applicative (Join p)

Defined in Data.Bifunctor.Join

Methods

pure :: a -> Join p a

(<*>) :: Join p (a -> b) -> Join p a -> Join p b

liftA2 :: (a -> b -> c) -> Join p a -> Join p b -> Join p c

(*>) :: Join p a -> Join p b -> Join p b

(<*) :: Join p a -> Join p b -> Join p a

Biapplicative p => Applicative (Fix p)

Defined in Data.Bifunctor.Fix

Methods

pure :: a -> Fix p a

(<*>) :: Fix p (a -> b) -> Fix p a -> Fix p b

liftA2 :: (a -> b -> c) -> Fix p a -> Fix p b -> Fix p c

(*>) :: Fix p a -> Fix p b -> Fix p b

(<*) :: Fix p a -> Fix p b -> Fix p a

Applicative m => Applicative (IdentityT m)

Defined in Control.Monad.Trans.Identity

Methods

pure :: a -> IdentityT m a

(<*>) :: IdentityT m (a -> b) -> IdentityT m a -> IdentityT m b

liftA2 :: (a -> b -> c) -> IdentityT m a -> IdentityT m b -> IdentityT m c

(*>) :: IdentityT m a -> IdentityT m b -> IdentityT m b

(<*) :: IdentityT m a -> IdentityT m b -> IdentityT m a

(Applicative f, Monad f) => Applicative (WhenMissing f x)

Equivalent to ReaderT k (ReaderT x (MaybeT f)).

Since: containers-0.5.9

Defined in Data.IntMap.Internal

Methods

pure :: a -> WhenMissing f x a

(<*>) :: WhenMissing f x (a -> b) -> WhenMissing f x a -> WhenMissing f x b

liftA2 :: (a -> b -> c) -> WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x c

(*>) :: WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x b

(<*) :: WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x a

(Functor m, Monad m) => Applicative (ExceptT e m)

Defined in Control.Monad.Trans.Except

Methods

pure :: a -> ExceptT e m a

(<*>) :: ExceptT e m (a -> b) -> ExceptT e m a -> ExceptT e m b

liftA2 :: (a -> b -> c) -> ExceptT e m a -> ExceptT e m b -> ExceptT e m c

(*>) :: ExceptT e m a -> ExceptT e m b -> ExceptT e m b

(<*) :: ExceptT e m a -> ExceptT e m b -> ExceptT e m a

(Functor f, Monad m) => Applicative (FreeT f m)

Defined in Control.Monad.Trans.Free

Methods

pure :: a -> FreeT f m a

(<*>) :: FreeT f m (a -> b) -> FreeT f m a -> FreeT f m b

liftA2 :: (a -> b -> c) -> FreeT f m a -> FreeT f m b -> FreeT f m c

(*>) :: FreeT f m a -> FreeT f m b -> FreeT f m b

(<*) :: FreeT f m a -> FreeT f m b -> FreeT f m a

(Alternative f, Applicative w) => Applicative (CofreeT f w)

Defined in Control.Comonad.Trans.Cofree

Methods

pure :: a -> CofreeT f w a

(<*>) :: CofreeT f w (a -> b) -> CofreeT f w a -> CofreeT f w b

liftA2 :: (a -> b -> c) -> CofreeT f w a -> CofreeT f w b -> CofreeT f w c

(*>) :: CofreeT f w a -> CofreeT f w b -> CofreeT f w b

(<*) :: CofreeT f w a -> CofreeT f w b -> CofreeT f w a

(Applicative f, Applicative g) => Applicative (Day f g)

Defined in Data.Functor.Day

Methods

pure :: a -> Day f g a

(<*>) :: Day f g (a -> b) -> Day f g a -> Day f g b

liftA2 :: (a -> b -> c) -> Day f g a -> Day f g b -> Day f g c

(*>) :: Day f g a -> Day f g b -> Day f g b

(<*) :: Day f g a -> Day f g b -> Day f g a

(Functor m, Monad m) => Applicative (ErrorT e m)

Defined in Control.Monad.Trans.Error

Methods

pure :: a -> ErrorT e m a

(<*>) :: ErrorT e m (a -> b) -> ErrorT e m a -> ErrorT e m b

liftA2 :: (a -> b -> c) -> ErrorT e m a -> ErrorT e m b -> ErrorT e m c

(*>) :: ErrorT e m a -> ErrorT e m b -> ErrorT e m b

(<*) :: ErrorT e m a -> ErrorT e m b -> ErrorT e m a

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

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

Applicative (Tagged s)

Defined in Data.Tagged

Methods

pure :: a -> Tagged s a

(<*>) :: Tagged s (a -> b) -> Tagged s a -> Tagged s b

liftA2 :: (a -> b -> c) -> Tagged s a -> Tagged s b -> Tagged s c

(*>) :: Tagged s a -> Tagged s b -> Tagged s b

(<*) :: Tagged s a -> Tagged s b -> Tagged s a

Applicative (Indexed i a)

Defined in Control.Lens.Internal.Indexed

Methods

pure :: a0 -> Indexed i a a0

(<*>) :: Indexed i a (a0 -> b) -> Indexed i a a0 -> Indexed i a b

liftA2 :: (a0 -> b -> c) -> Indexed i a a0 -> Indexed i a b -> Indexed i a c

(*>) :: Indexed i a a0 -> Indexed i a b -> Indexed i a b

(<*) :: Indexed i a a0 -> Indexed i a b -> Indexed i a a0

Applicative m => Applicative (ReaderT r m)

Defined in Control.Monad.Trans.Reader

Methods

pure :: a -> ReaderT r m a

(<*>) :: ReaderT r m (a -> b) -> ReaderT r m a -> ReaderT r m b

liftA2 :: (a -> b -> c) -> ReaderT r m a -> ReaderT r m b -> ReaderT r m c

(*>) :: ReaderT r m a -> ReaderT r m b -> ReaderT r m b

(<*) :: ReaderT r m a -> ReaderT r m b -> ReaderT r m a

(Monad m, Monoid s) => Applicative (Focusing m s)

Defined in Lens.Micro.Mtl.Internal

Methods

pure :: a -> Focusing m s a

(<*>) :: Focusing m s (a -> b) -> Focusing m s a -> Focusing m s b

liftA2 :: (a -> b -> c) -> Focusing m s a -> Focusing m s b -> Focusing m s c

(*>) :: Focusing m s a -> Focusing m s b -> Focusing m s b

(<*) :: Focusing m s a -> Focusing m s b -> Focusing m s a

Applicative (k (May s)) => Applicative (FocusingMay k s)

Defined in Lens.Micro.Mtl.Internal

Methods

pure :: a -> FocusingMay k s a

(<*>) :: FocusingMay k s (a -> b) -> FocusingMay k s a -> FocusingMay k s b

liftA2 :: (a -> b -> c) -> FocusingMay k s a -> FocusingMay k s b -> FocusingMay k s c

(*>) :: FocusingMay k s a -> FocusingMay k s b -> FocusingMay k s b

(<*) :: FocusingMay k s a -> FocusingMay k s b -> FocusingMay k s a

(Monad m, Monoid r) => Applicative (Effect m r)

Defined in Lens.Micro.Mtl.Internal

Methods

pure :: a -> Effect m r a

(<*>) :: Effect m r (a -> b) -> Effect m r a -> Effect m r b

liftA2 :: (a -> b -> c) -> Effect m r a -> Effect m r b -> Effect m r c

(*>) :: Effect m r a -> Effect m r b -> Effect m r b

(<*) :: Effect m r a -> Effect m r b -> Effect m r a

Applicative f => Applicative (ApplicativeBoolean f)

Defined in Morley.Prelude.Boolean

Methods

pure :: a -> ApplicativeBoolean f a

(<*>) :: ApplicativeBoolean f (a -> b) -> ApplicativeBoolean f a -> ApplicativeBoolean f b

liftA2 :: (a -> b -> c) -> ApplicativeBoolean f a -> ApplicativeBoolean f b -> ApplicativeBoolean f c

(*>) :: ApplicativeBoolean f a -> ApplicativeBoolean f b -> ApplicativeBoolean f b

(<*) :: ApplicativeBoolean f a -> ApplicativeBoolean f b -> ApplicativeBoolean f a

Applicative ((->) r :: Type -> Type)

Since: base-2.1

Defined in GHC.Base

Methods

pure :: a -> r -> a

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

liftA2 :: (a -> b -> c) -> (r -> a) -> (r -> b) -> r -> c

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

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

Monoid c => Applicative (K1 i c :: Type -> Type)

Since: base-4.12.0.0

Defined in GHC.Generics

Methods

pure :: a -> K1 i c a

(<*>) :: K1 i c (a -> b) -> K1 i c a -> K1 i c b

liftA2 :: (a -> b -> c0) -> K1 i c a -> K1 i c b -> K1 i c c0

(*>) :: K1 i c a -> K1 i c b -> K1 i c b

(<*) :: K1 i c a -> K1 i c b -> K1 i c a

(Applicative f, Applicative g) => Applicative (f :*: g)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

pure :: a -> (f :*: g) a

(<*>) :: (f :*: g) (a -> b) -> (f :*: g) a -> (f :*: g) b

liftA2 :: (a -> b -> c) -> (f :*: g) a -> (f :*: g) b -> (f :*: g) c

(*>) :: (f :*: g) a -> (f :*: g) b -> (f :*: g) b

(<*) :: (f :*: g) a -> (f :*: g) b -> (f :*: g) a

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

Since: base-4.14.0.0

Defined in GHC.Base

Methods

pure :: a0 -> (a, b, c, a0)

(<*>) :: (a, b, c, a0 -> b0) -> (a, b, c, a0) -> (a, b, c, b0)

liftA2 :: (a0 -> b0 -> c0) -> (a, b, c, a0) -> (a, b, c, b0) -> (a, b, c, c0)

(*>) :: (a, b, c, a0) -> (a, b, c, b0) -> (a, b, c, b0)

(<*) :: (a, b, c, a0) -> (a, b, c, b0) -> (a, b, c, a0)

(Monad f, Applicative f) => Applicative (WhenMatched f x y)

Equivalent to ReaderT Key (ReaderT x (ReaderT y (MaybeT f)))

Since: containers-0.5.9

Defined in Data.IntMap.Internal

Methods

pure :: a -> WhenMatched f x y a

(<*>) :: WhenMatched f x y (a -> b) -> WhenMatched f x y a -> WhenMatched f x y b

liftA2 :: (a -> b -> c) -> WhenMatched f x y a -> WhenMatched f x y b -> WhenMatched f x y c

(*>) :: WhenMatched f x y a -> WhenMatched f x y b -> WhenMatched f x y b

(<*) :: WhenMatched f x y a -> WhenMatched f x y b -> WhenMatched f x y a

(Applicative f, Monad f) => Applicative (WhenMissing f k x)

Equivalent to ReaderT k (ReaderT x (MaybeT f)) .

Since: containers-0.5.9

Defined in Data.Map.Internal

Methods

pure :: a -> WhenMissing f k x a

(<*>) :: WhenMissing f k x (a -> b) -> WhenMissing f k x a -> WhenMissing f k x b

liftA2 :: (a -> b -> c) -> WhenMissing f k x a -> WhenMissing f k x b -> WhenMissing f k x c

(*>) :: WhenMissing f k x a -> WhenMissing f k x b -> WhenMissing f k x b

(<*) :: WhenMissing f k x a -> WhenMissing f k x b -> WhenMissing f k x a

(Monad m, Monoid s, Monoid w) => Applicative (FocusingWith w m s)

Defined in Lens.Micro.Mtl.Internal

Methods

pure :: a -> FocusingWith w m s a

(<*>) :: FocusingWith w m s (a -> b) -> FocusingWith w m s a -> FocusingWith w m s b

liftA2 :: (a -> b -> c) -> FocusingWith w m s a -> FocusingWith w m s b -> FocusingWith w m s c

(*>) :: FocusingWith w m s a -> FocusingWith w m s b -> FocusingWith w m s b

(<*) :: FocusingWith w m s a -> FocusingWith w m s b -> FocusingWith w m s a

Applicative (k (s, w)) => Applicative (FocusingPlus w k s)

Defined in Lens.Micro.Mtl.Internal

Methods

pure :: a -> FocusingPlus w k s a

(<*>) :: FocusingPlus w k s (a -> b) -> FocusingPlus w k s a -> FocusingPlus w k s b

liftA2 :: (a -> b -> c) -> FocusingPlus w k s a -> FocusingPlus w k s b -> FocusingPlus w k s c

(*>) :: FocusingPlus w k s a -> FocusingPlus w k s b -> FocusingPlus w k s b

(<*) :: FocusingPlus w k s a -> FocusingPlus w k s b -> FocusingPlus w k s a

Applicative (k (f s)) => Applicative (FocusingOn f k s)

Defined in Lens.Micro.Mtl.Internal

Methods

pure :: a -> FocusingOn f k s a

(<*>) :: FocusingOn f k s (a -> b) -> FocusingOn f k s a -> FocusingOn f k s b

liftA2 :: (a -> b -> c) -> FocusingOn f k s a -> FocusingOn f k s b -> FocusingOn f k s c

(*>) :: FocusingOn f k s a -> FocusingOn f k s b -> FocusingOn f k s b

(<*) :: FocusingOn f k s a -> FocusingOn f k s b -> FocusingOn f k s a

Applicative (k (Err e s)) => Applicative (FocusingErr e k s)

Defined in Lens.Micro.Mtl.Internal

Methods

pure :: a -> FocusingErr e k s a

(<*>) :: FocusingErr e k s (a -> b) -> FocusingErr e k s a -> FocusingErr e k s b

liftA2 :: (a -> b -> c) -> FocusingErr e k s a -> FocusingErr e k s b -> FocusingErr e k s c

(*>) :: FocusingErr e k s a -> FocusingErr e k s b -> FocusingErr e k s b

(<*) :: FocusingErr e k s a -> FocusingErr e k s b -> FocusingErr e k s a

Applicative f => Applicative (M1 i c f)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

pure :: a -> M1 i c f a

(<*>) :: M1 i c f (a -> b) -> M1 i c f a -> M1 i c f b

liftA2 :: (a -> b -> c0) -> M1 i c f a -> M1 i c f b -> M1 i c f c0

(*>) :: M1 i c f a -> M1 i c f b -> M1 i c f b

(<*) :: M1 i c f a -> M1 i c f b -> M1 i c f a

(Applicative f, Applicative g) => Applicative (f :.: g)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

pure :: a -> (f :.: g) a

(<*>) :: (f :.: g) (a -> b) -> (f :.: g) a -> (f :.: g) b

liftA2 :: (a -> b -> c) -> (f :.: g) a -> (f :.: g) b -> (f :.: g) c

(*>) :: (f :.: g) a -> (f :.: g) b -> (f :.: g) b

(<*) :: (f :.: g) a -> (f :.: g) b -> (f :.: g) a

(Applicative f, Applicative g) => Applicative (Compose f g)

Since: base-4.9.0.0

Defined in Data.Functor.Compose

Methods

pure :: a -> Compose f g a

(<*>) :: Compose f g (a -> b) -> Compose f g a -> Compose f g b

liftA2 :: (a -> b -> c) -> Compose f g a -> Compose f g b -> Compose f g c

(*>) :: Compose f g a -> Compose f g b -> Compose f g b

(<*) :: Compose f g a -> Compose f g b -> Compose f g a

(Monad f, Applicative f) => Applicative (WhenMatched f k x y)

Equivalent to ReaderT k (ReaderT x (ReaderT y (MaybeT f)))

Since: containers-0.5.9

Defined in Data.Map.Internal

Methods

pure :: a -> WhenMatched f k x y a

(<*>) :: WhenMatched f k x y (a -> b) -> WhenMatched f k x y a -> WhenMatched f k x y b

liftA2 :: (a -> b -> c) -> WhenMatched f k x y a -> WhenMatched f k x y b -> WhenMatched f k x y c

(*>) :: WhenMatched f k x y a -> WhenMatched f k x y b -> WhenMatched f k x y b

(<*) :: WhenMatched f k x y a -> WhenMatched f k x y b -> WhenMatched f k x y a

(Monoid s, Monoid w, Monad m) => Applicative (EffectRWS w st m s)

Defined in Lens.Micro.Mtl.Internal

Methods

pure :: a -> EffectRWS w st m s a

(<*>) :: EffectRWS w st m s (a -> b) -> EffectRWS w st m s a -> EffectRWS w st m s b

liftA2 :: (a -> b -> c) -> EffectRWS w st m s a -> EffectRWS w st m s b -> EffectRWS w st m s c

(*>) :: EffectRWS w st m s a -> EffectRWS w st m s b -> EffectRWS w st m s b

(<*) :: EffectRWS w st m s a -> EffectRWS w st m s b -> EffectRWS w st m s a

Reifies s (ReifiedApplicative f) => Applicative (ReflectedApplicative f s)

Defined in Data.Reflection

Methods

pure :: a -> ReflectedApplicative f s a

(<*>) :: ReflectedApplicative f s (a -> b) -> ReflectedApplicative f s a -> ReflectedApplicative f s b

liftA2 :: (a -> b -> c) -> ReflectedApplicative f s a -> ReflectedApplicative f s b -> ReflectedApplicative f s c

(*>) :: ReflectedApplicative f s a -> ReflectedApplicative f s b -> ReflectedApplicative f s b

(<*) :: ReflectedApplicative f s a -> ReflectedApplicative f s b -> ReflectedApplicative f s a

class Foldable (t :: Type -> Type)

Data structures that can be folded.

For example, given a data type

data Tree a = Empty | Leaf a | Node (Tree a) a (Tree a)

a suitable instance would be

instance Foldable Tree where
   foldMap f Empty = mempty
   foldMap f (Leaf x) = f x
   foldMap f (Node l k r) = foldMap f l `mappend` f k `mappend` foldMap f r

This is suitable even for abstract types, as the monoid is assumed to satisfy the monoid laws. Alternatively, one could define foldr:

instance Foldable Tree where
   foldr f z Empty = z
   foldr f z (Leaf x) = f x z
   foldr f z (Node l k r) = foldr f (f k (foldr f z r)) l

Foldable instances are expected to satisfy the following laws:

foldr f z t = appEndo (foldMap (Endo . f) t ) z

foldl f z t = appEndo (getDual (foldMap (Dual . Endo . flip f) t)) z

fold = foldMap id

length = getSum . foldMap (Sum . const  1)

sum, product, maximum, and minimum should all be essentially equivalent to foldMap forms, such as

sum = getSum . foldMap Sum

but may be less defined.

If the type is also a Functor instance, it should satisfy

foldMap f = fold . fmap f

which implies that

foldMap f . fmap g = foldMap (f . g)

Minimal complete definition

foldMap | foldr

Instances

Foldable []

Since: base-2.1

Defined in Data.Foldable

Methods

fold :: Monoid m => [m] -> m

foldMap :: Monoid m => (a -> m) -> [a] -> m

foldMap' :: Monoid m => (a -> m) -> [a] -> m

foldr :: (a -> b -> b) -> b -> [a] -> b

foldr' :: (a -> b -> b) -> b -> [a] -> b

foldl :: (b -> a -> b) -> b -> [a] -> b

foldl' :: (b -> a -> b) -> b -> [a] -> b

foldr1 :: (a -> a -> a) -> [a] -> a

foldl1 :: (a -> a -> a) -> [a] -> a

toList :: [a] -> [a]

null :: [a] -> Bool

length :: [a] -> Int

elem :: Eq a => a -> [a] -> Bool

maximum :: Ord a => [a] -> a

minimum :: Ord a => [a] -> a

sum :: Num a => [a] -> a

product :: Num a => [a] -> a

Foldable Maybe

Since: base-2.1

Defined in Data.Foldable

Methods

fold :: Monoid m => Maybe m -> m

foldMap :: Monoid m => (a -> m) -> Maybe a -> m

foldMap' :: Monoid m => (a -> m) -> Maybe a -> m

foldr :: (a -> b -> b) -> b -> Maybe a -> b

foldr' :: (a -> b -> b) -> b -> Maybe a -> b

foldl :: (b -> a -> b) -> b -> Maybe a -> b

foldl' :: (b -> a -> b) -> b -> Maybe a -> b

foldr1 :: (a -> a -> a) -> Maybe a -> a

foldl1 :: (a -> a -> a) -> Maybe a -> a

toList :: Maybe a -> [a]

null :: Maybe a -> Bool

length :: Maybe a -> Int

elem :: Eq a => a -> Maybe a -> Bool

maximum :: Ord a => Maybe a -> a

minimum :: Ord a => Maybe a -> a

sum :: Num a => Maybe a -> a

product :: Num a => Maybe a -> a

Foldable Par1

Since: base-4.9.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => Par1 m -> m

foldMap :: Monoid m => (a -> m) -> Par1 a -> m

foldMap' :: Monoid m => (a -> m) -> Par1 a -> m

foldr :: (a -> b -> b) -> b -> Par1 a -> b

foldr' :: (a -> b -> b) -> b -> Par1 a -> b

foldl :: (b -> a -> b) -> b -> Par1 a -> b

foldl' :: (b -> a -> b) -> b -> Par1 a -> b

foldr1 :: (a -> a -> a) -> Par1 a -> a

foldl1 :: (a -> a -> a) -> Par1 a -> a

toList :: Par1 a -> [a]

null :: Par1 a -> Bool

length :: Par1 a -> Int

elem :: Eq a => a -> Par1 a -> Bool

maximum :: Ord a => Par1 a -> a

minimum :: Ord a => Par1 a -> a

sum :: Num a => Par1 a -> a

product :: Num a => Par1 a -> a

Foldable Min

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

fold :: Monoid m => Min m -> m

foldMap :: Monoid m => (a -> m) -> Min a -> m

foldMap' :: Monoid m => (a -> m) -> Min a -> m

foldr :: (a -> b -> b) -> b -> Min a -> b

foldr' :: (a -> b -> b) -> b -> Min a -> b

foldl :: (b -> a -> b) -> b -> Min a -> b

foldl' :: (b -> a -> b) -> b -> Min a -> b

foldr1 :: (a -> a -> a) -> Min a -> a

foldl1 :: (a -> a -> a) -> Min a -> a

toList :: Min a -> [a]

null :: Min a -> Bool

length :: Min a -> Int

elem :: Eq a => a -> Min a -> Bool

maximum :: Ord a => Min a -> a

minimum :: Ord a => Min a -> a

sum :: Num a => Min a -> a

product :: Num a => Min a -> a

Foldable Max

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

fold :: Monoid m => Max m -> m

foldMap :: Monoid m => (a -> m) -> Max a -> m

foldMap' :: Monoid m => (a -> m) -> Max a -> m

foldr :: (a -> b -> b) -> b -> Max a -> b

foldr' :: (a -> b -> b) -> b -> Max a -> b

foldl :: (b -> a -> b) -> b -> Max a -> b

foldl' :: (b -> a -> b) -> b -> Max a -> b

foldr1 :: (a -> a -> a) -> Max a -> a

foldl1 :: (a -> a -> a) -> Max a -> a

toList :: Max a -> [a]

null :: Max a -> Bool

length :: Max a -> Int

elem :: Eq a => a -> Max a -> Bool

maximum :: Ord a => Max a -> a

minimum :: Ord a => Max a -> a

sum :: Num a => Max a -> a

product :: Num a => Max a -> a

Foldable First

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

fold :: Monoid m => First m -> m

foldMap :: Monoid m => (a -> m) -> First a -> m

foldMap' :: Monoid m => (a -> m) -> First a -> m

foldr :: (a -> b -> b) -> b -> First a -> b

foldr' :: (a -> b -> b) -> b -> First a -> b

foldl :: (b -> a -> b) -> b -> First a -> b

foldl' :: (b -> a -> b) -> b -> First a -> b

foldr1 :: (a -> a -> a) -> First a -> a

foldl1 :: (a -> a -> a) -> First a -> a

toList :: First a -> [a]

null :: First a -> Bool

length :: First a -> Int

elem :: Eq a => a -> First a -> Bool

maximum :: Ord a => First a -> a

minimum :: Ord a => First a -> a

sum :: Num a => First a -> a

product :: Num a => First a -> a

Foldable Last

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

fold :: Monoid m => Last m -> m

foldMap :: Monoid m => (a -> m) -> Last a -> m

foldMap' :: Monoid m => (a -> m) -> Last a -> m

foldr :: (a -> b -> b) -> b -> Last a -> b

foldr' :: (a -> b -> b) -> b -> Last a -> b

foldl :: (b -> a -> b) -> b -> Last a -> b

foldl' :: (b -> a -> b) -> b -> Last a -> b

foldr1 :: (a -> a -> a) -> Last a -> a

foldl1 :: (a -> a -> a) -> Last a -> a

toList :: Last a -> [a]

null :: Last a -> Bool

length :: Last a -> Int

elem :: Eq a => a -> Last a -> Bool

maximum :: Ord a => Last a -> a

minimum :: Ord a => Last a -> a

sum :: Num a => Last a -> a

product :: Num a => Last a -> a

Foldable Option

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

fold :: Monoid m => Option m -> m

foldMap :: Monoid m => (a -> m) -> Option a -> m

foldMap' :: Monoid m => (a -> m) -> Option a -> m

foldr :: (a -> b -> b) -> b -> Option a -> b

foldr' :: (a -> b -> b) -> b -> Option a -> b

foldl :: (b -> a -> b) -> b -> Option a -> b

foldl' :: (b -> a -> b) -> b -> Option a -> b

foldr1 :: (a -> a -> a) -> Option a -> a

foldl1 :: (a -> a -> a) -> Option a -> a

toList :: Option a -> [a]

null :: Option a -> Bool

length :: Option a -> Int

elem :: Eq a => a -> Option a -> Bool

maximum :: Ord a => Option a -> a

minimum :: Ord a => Option a -> a

sum :: Num a => Option a -> a

product :: Num a => Option a -> a

Foldable ZipList

Since: base-4.9.0.0

Defined in Control.Applicative

Methods

fold :: Monoid m => ZipList m -> m

foldMap :: Monoid m => (a -> m) -> ZipList a -> m

foldMap' :: Monoid m => (a -> m) -> ZipList a -> m

foldr :: (a -> b -> b) -> b -> ZipList a -> b

foldr' :: (a -> b -> b) -> b -> ZipList a -> b

foldl :: (b -> a -> b) -> b -> ZipList a -> b

foldl' :: (b -> a -> b) -> b -> ZipList a -> b

foldr1 :: (a -> a -> a) -> ZipList a -> a

foldl1 :: (a -> a -> a) -> ZipList a -> a

toList :: ZipList a -> [a]

null :: ZipList a -> Bool

length :: ZipList a -> Int

elem :: Eq a => a -> ZipList a -> Bool

maximum :: Ord a => ZipList a -> a

minimum :: Ord a => ZipList a -> a

sum :: Num a => ZipList a -> a

product :: Num a => ZipList a -> a

Foldable Identity

Since: base-4.8.0.0

Defined in Data.Functor.Identity

Methods

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

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

Foldable First

Since: base-4.8.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => First m -> m

foldMap :: Monoid m => (a -> m) -> First a -> m

foldMap' :: Monoid m => (a -> m) -> First a -> m

foldr :: (a -> b -> b) -> b -> First a -> b

foldr' :: (a -> b -> b) -> b -> First a -> b

foldl :: (b -> a -> b) -> b -> First a -> b

foldl' :: (b -> a -> b) -> b -> First a -> b

foldr1 :: (a -> a -> a) -> First a -> a

foldl1 :: (a -> a -> a) -> First a -> a

toList :: First a -> [a]

null :: First a -> Bool

length :: First a -> Int

elem :: Eq a => a -> First a -> Bool

maximum :: Ord a => First a -> a

minimum :: Ord a => First a -> a

sum :: Num a => First a -> a

product :: Num a => First a -> a

Foldable Last

Since: base-4.8.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => Last m -> m

foldMap :: Monoid m => (a -> m) -> Last a -> m

foldMap' :: Monoid m => (a -> m) -> Last a -> m

foldr :: (a -> b -> b) -> b -> Last a -> b

foldr' :: (a -> b -> b) -> b -> Last a -> b

foldl :: (b -> a -> b) -> b -> Last a -> b

foldl' :: (b -> a -> b) -> b -> Last a -> b

foldr1 :: (a -> a -> a) -> Last a -> a

foldl1 :: (a -> a -> a) -> Last a -> a

toList :: Last a -> [a]

null :: Last a -> Bool

length :: Last a -> Int

elem :: Eq a => a -> Last a -> Bool

maximum :: Ord a => Last a -> a

minimum :: Ord a => Last a -> a

sum :: Num a => Last a -> a

product :: Num a => Last a -> a

Foldable Dual

Since: base-4.8.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => Dual m -> m

foldMap :: Monoid m => (a -> m) -> Dual a -> m

foldMap' :: Monoid m => (a -> m) -> Dual a -> m

foldr :: (a -> b -> b) -> b -> Dual a -> b

foldr' :: (a -> b -> b) -> b -> Dual a -> b

foldl :: (b -> a -> b) -> b -> Dual a -> b

foldl' :: (b -> a -> b) -> b -> Dual a -> b

foldr1 :: (a -> a -> a) -> Dual a -> a

foldl1 :: (a -> a -> a) -> Dual a -> a

toList :: Dual a -> [a]

null :: Dual a -> Bool

length :: Dual a -> Int

elem :: Eq a => a -> Dual a -> Bool

maximum :: Ord a => Dual a -> a

minimum :: Ord a => Dual a -> a

sum :: Num a => Dual a -> a

product :: Num a => Dual a -> a

Foldable Sum

Since: base-4.8.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => Sum m -> m

foldMap :: Monoid m => (a -> m) -> Sum a -> m

foldMap' :: Monoid m => (a -> m) -> Sum a -> m

foldr :: (a -> b -> b) -> b -> Sum a -> b

foldr' :: (a -> b -> b) -> b -> Sum a -> b

foldl :: (b -> a -> b) -> b -> Sum a -> b

foldl' :: (b -> a -> b) -> b -> Sum a -> b

foldr1 :: (a -> a -> a) -> Sum a -> a

foldl1 :: (a -> a -> a) -> Sum a -> a

toList :: Sum a -> [a]

null :: Sum a -> Bool

length :: Sum a -> Int

elem :: Eq a => a -> Sum a -> Bool

maximum :: Ord a => Sum a -> a

minimum :: Ord a => Sum a -> a

sum :: Num a => Sum a -> a

product :: Num a => Sum a -> a

Foldable Product

Since: base-4.8.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => Product m -> m

foldMap :: Monoid m => (a -> m) -> Product a -> m

foldMap' :: Monoid m => (a -> m) -> Product a -> m

foldr :: (a -> b -> b) -> b -> Product a -> b

foldr' :: (a -> b -> b) -> b -> Product a -> b

foldl :: (b -> a -> b) -> b -> Product a -> b

foldl' :: (b -> a -> b) -> b -> Product a -> b

foldr1 :: (a -> a -> a) -> Product a -> a

foldl1 :: (a -> a -> a) -> Product a -> a

toList :: Product a -> [a]

null :: Product a -> Bool

length :: Product a -> Int

elem :: Eq a => a -> Product a -> Bool

maximum :: Ord a => Product a -> a

minimum :: Ord a => Product a -> a

sum :: Num a => Product a -> a

product :: Num a => Product a -> a

Foldable Down

Since: base-4.12.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => Down m -> m

foldMap :: Monoid m => (a -> m) -> Down a -> m

foldMap' :: Monoid m => (a -> m) -> Down a -> m

foldr :: (a -> b -> b) -> b -> Down a -> b

foldr' :: (a -> b -> b) -> b -> Down a -> b

foldl :: (b -> a -> b) -> b -> Down a -> b

foldl' :: (b -> a -> b) -> b -> Down a -> b

foldr1 :: (a -> a -> a) -> Down a -> a

foldl1 :: (a -> a -> a) -> Down a -> a

toList :: Down a -> [a]

null :: Down a -> Bool

length :: Down a -> Int

elem :: Eq a => a -> Down a -> Bool

maximum :: Ord a => Down a -> a

minimum :: Ord a => Down a -> a

sum :: Num a => Down a -> a

product :: Num a => Down a -> a

Foldable NonEmpty

Since: base-4.9.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => NonEmpty m -> m

foldMap :: Monoid m => (a -> m) -> NonEmpty a -> m

foldMap' :: Monoid m => (a -> m) -> NonEmpty a -> m

foldr :: (a -> b -> b) -> b -> NonEmpty a -> b

foldr' :: (a -> b -> b) -> b -> NonEmpty a -> b

foldl :: (b -> a -> b) -> b -> NonEmpty a -> b

foldl' :: (b -> a -> b) -> b -> NonEmpty a -> b

foldr1 :: (a -> a -> a) -> NonEmpty a -> a

foldl1 :: (a -> a -> a) -> NonEmpty a -> a

toList :: NonEmpty a -> [a]

null :: NonEmpty a -> Bool

length :: NonEmpty a -> Int

elem :: Eq a => a -> NonEmpty a -> Bool

maximum :: Ord a => NonEmpty a -> a

minimum :: Ord a => NonEmpty a -> a

sum :: Num a => NonEmpty a -> a

product :: Num a => NonEmpty a -> a

Foldable IntMap

Folds in order of increasing key.

Defined in Data.IntMap.Internal

Methods

fold :: Monoid m => IntMap m -> m

foldMap :: Monoid m => (a -> m) -> IntMap a -> m

foldMap' :: Monoid m => (a -> m) -> IntMap a -> m

foldr :: (a -> b -> b) -> b -> IntMap a -> b

foldr' :: (a -> b -> b) -> b -> IntMap a -> b

foldl :: (b -> a -> b) -> b -> IntMap a -> b

foldl' :: (b -> a -> b) -> b -> IntMap a -> b

foldr1 :: (a -> a -> a) -> IntMap a -> a

foldl1 :: (a -> a -> a) -> IntMap a -> a

toList :: IntMap a -> [a]

null :: IntMap a -> Bool

length :: IntMap a -> Int

elem :: Eq a => a -> IntMap a -> Bool

maximum :: Ord a => IntMap a -> a

minimum :: Ord a => IntMap a -> a

sum :: Num a => IntMap a -> a

product :: Num a => IntMap a -> a

Foldable Seq

Defined in Data.Sequence.Internal

Methods

fold :: Monoid m => Seq m -> m

foldMap :: Monoid m => (a -> m) -> Seq a -> m

foldMap' :: Monoid m => (a -> m) -> Seq a -> m

foldr :: (a -> b -> b) -> b -> Seq a -> b

foldr' :: (a -> b -> b) -> b -> Seq a -> b

foldl :: (b -> a -> b) -> b -> Seq a -> b

foldl' :: (b -> a -> b) -> b -> Seq a -> b

foldr1 :: (a -> a -> a) -> Seq a -> a

foldl1 :: (a -> a -> a) -> Seq a -> a

toList :: Seq a -> [a]

null :: Seq a -> Bool

length :: Seq a -> Int

elem :: Eq a => a -> Seq a -> Bool

maximum :: Ord a => Seq a -> a

minimum :: Ord a => Seq a -> a

sum :: Num a => Seq a -> a

product :: Num a => Seq a -> a

Foldable FingerTree

Defined in Data.Sequence.Internal

Methods

fold :: Monoid m => FingerTree m -> m

foldMap :: Monoid m => (a -> m) -> FingerTree a -> m

foldMap' :: Monoid m => (a -> m) -> FingerTree a -> m

foldr :: (a -> b -> b) -> b -> FingerTree a -> b

foldr' :: (a -> b -> b) -> b -> FingerTree a -> b

foldl :: (b -> a -> b) -> b -> FingerTree a -> b

foldl' :: (b -> a -> b) -> b -> FingerTree a -> b

foldr1 :: (a -> a -> a) -> FingerTree a -> a

foldl1 :: (a -> a -> a) -> FingerTree a -> a

toList :: FingerTree a -> [a]

null :: FingerTree a -> Bool

length :: FingerTree a -> Int

elem :: Eq a => a -> FingerTree a -> Bool

maximum :: Ord a => FingerTree a -> a

minimum :: Ord a => FingerTree a -> a

sum :: Num a => FingerTree a -> a

product :: Num a => FingerTree a -> a

Foldable Digit

Defined in Data.Sequence.Internal

Methods

fold :: Monoid m => Digit m -> m

foldMap :: Monoid m => (a -> m) -> Digit a -> m

foldMap' :: Monoid m => (a -> m) -> Digit a -> m

foldr :: (a -> b -> b) -> b -> Digit a -> b

foldr' :: (a -> b -> b) -> b -> Digit a -> b

foldl :: (b -> a -> b) -> b -> Digit a -> b

foldl' :: (b -> a -> b) -> b -> Digit a -> b

foldr1 :: (a -> a -> a) -> Digit a -> a

foldl1 :: (a -> a -> a) -> Digit a -> a

toList :: Digit a -> [a]

null :: Digit a -> Bool

length :: Digit a -> Int

elem :: Eq a => a -> Digit a -> Bool

maximum :: Ord a => Digit a -> a

minimum :: Ord a => Digit a -> a

sum :: Num a => Digit a -> a

product :: Num a => Digit a -> a

Foldable Node

Defined in Data.Sequence.Internal

Methods

fold :: Monoid m => Node m -> m

foldMap :: Monoid m => (a -> m) -> Node a -> m

foldMap' :: Monoid m => (a -> m) -> Node a -> m

foldr :: (a -> b -> b) -> b -> Node a -> b

foldr' :: (a -> b -> b) -> b -> Node a -> b

foldl :: (b -> a -> b) -> b -> Node a -> b

foldl' :: (b -> a -> b) -> b -> Node a -> b

foldr1 :: (a -> a -> a) -> Node a -> a

foldl1 :: (a -> a -> a) -> Node a -> a

toList :: Node a -> [a]

null :: Node a -> Bool

length :: Node a -> Int

elem :: Eq a => a -> Node a -> Bool

maximum :: Ord a => Node a -> a

minimum :: Ord a => Node a -> a

sum :: Num a => Node a -> a

product :: Num a => Node a -> a

Foldable Elem

Defined in Data.Sequence.Internal

Methods

fold :: Monoid m => Elem m -> m

foldMap :: Monoid m => (a -> m) -> Elem a -> m

foldMap' :: Monoid m => (a -> m) -> Elem a -> m

foldr :: (a -> b -> b) -> b -> Elem a -> b

foldr' :: (a -> b -> b) -> b -> Elem a -> b

foldl :: (b -> a -> b) -> b -> Elem a -> b

foldl' :: (b -> a -> b) -> b -> Elem a -> b

foldr1 :: (a -> a -> a) -> Elem a -> a

foldl1 :: (a -> a -> a) -> Elem a -> a

toList :: Elem a -> [a]

null :: Elem a -> Bool

length :: Elem a -> Int

elem :: Eq a => a -> Elem a -> Bool

maximum :: Ord a => Elem a -> a

minimum :: Ord a => Elem a -> a

sum :: Num a => Elem a -> a

product :: Num a => Elem a -> a

Foldable ViewL

Defined in Data.Sequence.Internal

Methods

fold :: Monoid m => ViewL m -> m

foldMap :: Monoid m => (a -> m) -> ViewL a -> m

foldMap' :: Monoid m => (a -> m) -> ViewL a -> m

foldr :: (a -> b -> b) -> b -> ViewL a -> b

foldr' :: (a -> b -> b) -> b -> ViewL a -> b

foldl :: (b -> a -> b) -> b -> ViewL a -> b

foldl' :: (b -> a -> b) -> b -> ViewL a -> b

foldr1 :: (a -> a -> a) -> ViewL a -> a

foldl1 :: (a -> a -> a) -> ViewL a -> a

toList :: ViewL a -> [a]

null :: ViewL a -> Bool

length :: ViewL a -> Int

elem :: Eq a => a -> ViewL a -> Bool

maximum :: Ord a => ViewL a -> a

minimum :: Ord a => ViewL a -> a

sum :: Num a => ViewL a -> a

product :: Num a => ViewL a -> a

Foldable ViewR

Defined in Data.Sequence.Internal

Methods

fold :: Monoid m => ViewR m -> m

foldMap :: Monoid m => (a -> m) -> ViewR a -> m

foldMap' :: Monoid m => (a -> m) -> ViewR a -> m

foldr :: (a -> b -> b) -> b -> ViewR a -> b

foldr' :: (a -> b -> b) -> b -> ViewR a -> b

foldl :: (b -> a -> b) -> b -> ViewR a -> b

foldl' :: (b -> a -> b) -> b -> ViewR a -> b

foldr1 :: (a -> a -> a) -> ViewR a -> a

foldl1 :: (a -> a -> a) -> ViewR a -> a

toList :: ViewR a -> [a]

null :: ViewR a -> Bool

length :: ViewR a -> Int

elem :: Eq a => a -> ViewR a -> Bool

maximum :: Ord a => ViewR a -> a

minimum :: Ord a => ViewR a -> a

sum :: Num a => ViewR a -> a

product :: Num a => ViewR a -> a

Foldable Set

Folds in order of increasing key.

Defined in Data.Set.Internal

Methods

fold :: Monoid m => Set m -> m

foldMap :: Monoid m => (a -> m) -> Set a -> m

foldMap' :: Monoid m => (a -> m) -> Set a -> m

foldr :: (a -> b -> b) -> b -> Set a -> b

foldr' :: (a -> b -> b) -> b -> Set a -> b

foldl :: (b -> a -> b) -> b -> Set a -> b

foldl' :: (b -> a -> b) -> b -> Set a -> b

foldr1 :: (a -> a -> a) -> Set a -> a

foldl1 :: (a -> a -> a) -> Set a -> a

toList :: Set a -> [a]

null :: Set a -> Bool

length :: Set a -> Int

elem :: Eq a => a -> Set a -> Bool

maximum :: Ord a => Set a -> a

minimum :: Ord a => Set a -> a

sum :: Num a => Set a -> a

product :: Num a => Set a -> a

Foldable Hashed

Defined in Data.Hashable.Class

Methods

fold :: Monoid m => Hashed m -> m

foldMap :: Monoid m => (a -> m) -> Hashed a -> m

foldMap' :: Monoid m => (a -> m) -> Hashed a -> m

foldr :: (a -> b -> b) -> b -> Hashed a -> b

foldr' :: (a -> b -> b) -> b -> Hashed a -> b

foldl :: (b -> a -> b) -> b -> Hashed a -> b

foldl' :: (b -> a -> b) -> b -> Hashed a -> b

foldr1 :: (a -> a -> a) -> Hashed a -> a

foldl1 :: (a -> a -> a) -> Hashed a -> a

toList :: Hashed a -> [a]

null :: Hashed a -> Bool

length :: Hashed a -> Int

elem :: Eq a => a -> Hashed a -> Bool

maximum :: Ord a => Hashed a -> a

minimum :: Ord a => Hashed a -> a

sum :: Num a => Hashed a -> a

product :: Num a => Hashed a -> a

Foldable HashSet

Defined in Data.HashSet.Internal

Methods

fold :: Monoid m => HashSet m -> m

foldMap :: Monoid m => (a -> m) -> HashSet a -> m

foldMap' :: Monoid m => (a -> m) -> HashSet a -> m

foldr :: (a -> b -> b) -> b -> HashSet a -> b

foldr' :: (a -> b -> b) -> b -> HashSet a -> b

foldl :: (b -> a -> b) -> b -> HashSet a -> b

foldl' :: (b -> a -> b) -> b -> HashSet a -> b

foldr1 :: (a -> a -> a) -> HashSet a -> a

foldl1 :: (a -> a -> a) -> HashSet a -> a

toList :: HashSet a -> [a]

null :: HashSet a -> Bool

length :: HashSet a -> Int

elem :: Eq a => a -> HashSet a -> Bool

maximum :: Ord a => HashSet a -> a

minimum :: Ord a => HashSet a -> a

sum :: Num a => HashSet a -> a

product :: Num a => HashSet a -> a

Foldable Vector

Defined in Data.Vector

Methods

fold :: Monoid m => Vector m -> m

foldMap :: Monoid m => (a -> m) -> Vector a -> m

foldMap' :: Monoid m => (a -> m) -> Vector a -> m

foldr :: (a -> b -> b) -> b -> Vector a -> b

foldr' :: (a -> b -> b) -> b -> Vector a -> b

foldl :: (b -> a -> b) -> b -> Vector a -> b

foldl' :: (b -> a -> b) -> b -> Vector a -> b

foldr1 :: (a -> a -> a) -> Vector a -> a

foldl1 :: (a -> a -> a) -> Vector a -> a

toList :: Vector a -> [a]

null :: Vector a -> Bool

length :: Vector a -> Int

elem :: Eq a => a -> Vector a -> Bool

maximum :: Ord a => Vector a -> a

minimum :: Ord a => Vector a -> a

sum :: Num a => Vector a -> a

product :: Num a => Vector a -> a

Foldable (Either a)

Since: base-4.7.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => Either a m -> m

foldMap :: Monoid m => (a0 -> m) -> Either a a0 -> m

foldMap' :: Monoid m => (a0 -> m) -> Either a a0 -> m

foldr :: (a0 -> b -> b) -> b -> Either a a0 -> b

foldr' :: (a0 -> b -> b) -> b -> Either a a0 -> b

foldl :: (b -> a0 -> b) -> b -> Either a a0 -> b

foldl' :: (b -> a0 -> b) -> b -> Either a a0 -> b

foldr1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0

foldl1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0

toList :: Either a a0 -> [a0]

null :: Either a a0 -> Bool

length :: Either a a0 -> Int

elem :: Eq a0 => a0 -> Either a a0 -> Bool

maximum :: Ord a0 => Either a a0 -> a0

minimum :: Ord a0 => Either a a0 -> a0

sum :: Num a0 => Either a a0 -> a0

product :: Num a0 => Either a a0 -> a0

Foldable (V1 :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => V1 m -> m

foldMap :: Monoid m => (a -> m) -> V1 a -> m

foldMap' :: Monoid m => (a -> m) -> V1 a -> m

foldr :: (a -> b -> b) -> b -> V1 a -> b

foldr' :: (a -> b -> b) -> b -> V1 a -> b

foldl :: (b -> a -> b) -> b -> V1 a -> b

foldl' :: (b -> a -> b) -> b -> V1 a -> b

foldr1 :: (a -> a -> a) -> V1 a -> a

foldl1 :: (a -> a -> a) -> V1 a -> a

toList :: V1 a -> [a]

null :: V1 a -> Bool

length :: V1 a -> Int

elem :: Eq a => a -> V1 a -> Bool

maximum :: Ord a => V1 a -> a

minimum :: Ord a => V1 a -> a

sum :: Num a => V1 a -> a

product :: Num a => V1 a -> a

Foldable (U1 :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => U1 m -> m

foldMap :: Monoid m => (a -> m) -> U1 a -> m

foldMap' :: Monoid m => (a -> m) -> U1 a -> m

foldr :: (a -> b -> b) -> b -> U1 a -> b

foldr' :: (a -> b -> b) -> b -> U1 a -> b

foldl :: (b -> a -> b) -> b -> U1 a -> b

foldl' :: (b -> a -> b) -> b -> U1 a -> b

foldr1 :: (a -> a -> a) -> U1 a -> a

foldl1 :: (a -> a -> a) -> U1 a -> a

toList :: U1 a -> [a]

null :: U1 a -> Bool

length :: U1 a -> Int

elem :: Eq a => a -> U1 a -> Bool

maximum :: Ord a => U1 a -> a

minimum :: Ord a => U1 a -> a

sum :: Num a => U1 a -> a

product :: Num a => U1 a -> a

Foldable (UAddr :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => UAddr m -> m

foldMap :: Monoid m => (a -> m) -> UAddr a -> m

foldMap' :: Monoid m => (a -> m) -> UAddr a -> m

foldr :: (a -> b -> b) -> b -> UAddr a -> b

foldr' :: (a -> b -> b) -> b -> UAddr a -> b

foldl :: (b -> a -> b) -> b -> UAddr a -> b

foldl' :: (b -> a -> b) -> b -> UAddr a -> b

foldr1 :: (a -> a -> a) -> UAddr a -> a

foldl1 :: (a -> a -> a) -> UAddr a -> a

toList :: UAddr a -> [a]

null :: UAddr a -> Bool

length :: UAddr a -> Int

elem :: Eq a => a -> UAddr a -> Bool

maximum :: Ord a => UAddr a -> a

minimum :: Ord a => UAddr a -> a

sum :: Num a => UAddr a -> a

product :: Num a => UAddr a -> a

Foldable (UChar :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => UChar m -> m

foldMap :: Monoid m => (a -> m) -> UChar a -> m

foldMap' :: Monoid m => (a -> m) -> UChar a -> m

foldr :: (a -> b -> b) -> b -> UChar a -> b

foldr' :: (a -> b -> b) -> b -> UChar a -> b

foldl :: (b -> a -> b) -> b -> UChar a -> b

foldl' :: (b -> a -> b) -> b -> UChar a -> b

foldr1 :: (a -> a -> a) -> UChar a -> a

foldl1 :: (a -> a -> a) -> UChar a -> a

toList :: UChar a -> [a]

null :: UChar a -> Bool

length :: UChar a -> Int

elem :: Eq a => a -> UChar a -> Bool

maximum :: Ord a => UChar a -> a

minimum :: Ord a => UChar a -> a

sum :: Num a => UChar a -> a

product :: Num a => UChar a -> a

Foldable (UDouble :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => UDouble m -> m

foldMap :: Monoid m => (a -> m) -> UDouble a -> m

foldMap' :: Monoid m => (a -> m) -> UDouble a -> m

foldr :: (a -> b -> b) -> b -> UDouble a -> b

foldr' :: (a -> b -> b) -> b -> UDouble a -> b

foldl :: (b -> a -> b) -> b -> UDouble a -> b

foldl' :: (b -> a -> b) -> b -> UDouble a -> b

foldr1 :: (a -> a -> a) -> UDouble a -> a

foldl1 :: (a -> a -> a) -> UDouble a -> a

toList :: UDouble a -> [a]

null :: UDouble a -> Bool

length :: UDouble a -> Int

elem :: Eq a => a -> UDouble a -> Bool

maximum :: Ord a => UDouble a -> a

minimum :: Ord a => UDouble a -> a

sum :: Num a => UDouble a -> a

product :: Num a => UDouble a -> a

Foldable (UFloat :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => UFloat m -> m

foldMap :: Monoid m => (a -> m) -> UFloat a -> m

foldMap' :: Monoid m => (a -> m) -> UFloat a -> m

foldr :: (a -> b -> b) -> b -> UFloat a -> b

foldr' :: (a -> b -> b) -> b -> UFloat a -> b

foldl :: (b -> a -> b) -> b -> UFloat a -> b

foldl' :: (b -> a -> b) -> b -> UFloat a -> b

foldr1 :: (a -> a -> a) -> UFloat a -> a

foldl1 :: (a -> a -> a) -> UFloat a -> a

toList :: UFloat a -> [a]

null :: UFloat a -> Bool

length :: UFloat a -> Int

elem :: Eq a => a -> UFloat a -> Bool

maximum :: Ord a => UFloat a -> a

minimum :: Ord a => UFloat a -> a

sum :: Num a => UFloat a -> a

product :: Num a => UFloat a -> a

Foldable (UInt :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => UInt m -> m

foldMap :: Monoid m => (a -> m) -> UInt a -> m

foldMap' :: Monoid m => (a -> m) -> UInt a -> m

foldr :: (a -> b -> b) -> b -> UInt a -> b

foldr' :: (a -> b -> b) -> b -> UInt a -> b

foldl :: (b -> a -> b) -> b -> UInt a -> b

foldl' :: (b -> a -> b) -> b -> UInt a -> b

foldr1 :: (a -> a -> a) -> UInt a -> a

foldl1 :: (a -> a -> a) -> UInt a -> a

toList :: UInt a -> [a]

null :: UInt a -> Bool

length :: UInt a -> Int

elem :: Eq a => a -> UInt a -> Bool

maximum :: Ord a => UInt a -> a

minimum :: Ord a => UInt a -> a

sum :: Num a => UInt a -> a

product :: Num a => UInt a -> a

Foldable (UWord :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => UWord m -> m

foldMap :: Monoid m => (a -> m) -> UWord a -> m

foldMap' :: Monoid m => (a -> m) -> UWord a -> m

foldr :: (a -> b -> b) -> b -> UWord a -> b

foldr' :: (a -> b -> b) -> b -> UWord a -> b

foldl :: (b -> a -> b) -> b -> UWord a -> b

foldl' :: (b -> a -> b) -> b -> UWord a -> b

foldr1 :: (a -> a -> a) -> UWord a -> a

foldl1 :: (a -> a -> a) -> UWord a -> a

toList :: UWord a -> [a]

null :: UWord a -> Bool

length :: UWord a -> Int

elem :: Eq a => a -> UWord a -> Bool

maximum :: Ord a => UWord a -> a

minimum :: Ord a => UWord a -> a

sum :: Num a => UWord a -> a

product :: Num a => UWord a -> a

Foldable ((,) a)

Since: base-4.7.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => (a, m) -> m

foldMap :: Monoid m => (a0 -> m) -> (a, a0) -> m

foldMap' :: Monoid m => (a0 -> m) -> (a, a0) -> m

foldr :: (a0 -> b -> b) -> b -> (a, a0) -> b

foldr' :: (a0 -> b -> b) -> b -> (a, a0) -> b

foldl :: (b -> a0 -> b) -> b -> (a, a0) -> b

foldl' :: (b -> a0 -> b) -> b -> (a, a0) -> b

foldr1 :: (a0 -> a0 -> a0) -> (a, a0) -> a0

foldl1 :: (a0 -> a0 -> a0) -> (a, a0) -> a0

toList :: (a, a0) -> [a0]

null :: (a, a0) -> Bool

length :: (a, a0) -> Int

elem :: Eq a0 => a0 -> (a, a0) -> Bool

maximum :: Ord a0 => (a, a0) -> a0

minimum :: Ord a0 => (a, a0) -> a0

sum :: Num a0 => (a, a0) -> a0

product :: Num a0 => (a, a0) -> a0

Foldable (Array i)

Since: base-4.8.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => Array i m -> m

foldMap :: Monoid m => (a -> m) -> Array i a -> m

foldMap' :: Monoid m => (a -> m) -> Array i a -> m

foldr :: (a -> b -> b) -> b -> Array i a -> b

foldr' :: (a -> b -> b) -> b -> Array i a -> b

foldl :: (b -> a -> b) -> b -> Array i a -> b

foldl' :: (b -> a -> b) -> b -> Array i a -> b

foldr1 :: (a -> a -> a) -> Array i a -> a

foldl1 :: (a -> a -> a) -> Array i a -> a

toList :: Array i a -> [a]

null :: Array i a -> Bool

length :: Array i a -> Int

elem :: Eq a => a -> Array i a -> Bool

maximum :: Ord a => Array i a -> a

minimum :: Ord a => Array i a -> a

sum :: Num a => Array i a -> a

product :: Num a => Array i a -> a

Foldable (Arg a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

fold :: Monoid m => Arg a m -> m

foldMap :: Monoid m => (a0 -> m) -> Arg a a0 -> m

foldMap' :: Monoid m => (a0 -> m) -> Arg a a0 -> m

foldr :: (a0 -> b -> b) -> b -> Arg a a0 -> b

foldr' :: (a0 -> b -> b) -> b -> Arg a a0 -> b

foldl :: (b -> a0 -> b) -> b -> Arg a a0 -> b

foldl' :: (b -> a0 -> b) -> b -> Arg a a0 -> b

foldr1 :: (a0 -> a0 -> a0) -> Arg a a0 -> a0

foldl1 :: (a0 -> a0 -> a0) -> Arg a a0 -> a0

toList :: Arg a a0 -> [a0]

null :: Arg a a0 -> Bool

length :: Arg a a0 -> Int

elem :: Eq a0 => a0 -> Arg a a0 -> Bool

maximum :: Ord a0 => Arg a a0 -> a0

minimum :: Ord a0 => Arg a a0 -> a0

sum :: Num a0 => Arg a a0 -> a0

product :: Num a0 => Arg a a0 -> a0

Foldable (Proxy :: Type -> Type)

Since: base-4.7.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => Proxy m -> m

foldMap :: Monoid m => (a -> m) -> Proxy a -> m

foldMap' :: Monoid m => (a -> m) -> Proxy a -> m

foldr :: (a -> b -> b) -> b -> Proxy a -> b

foldr' :: (a -> b -> b) -> b -> Proxy a -> b

foldl :: (b -> a -> b) -> b -> Proxy a -> b

foldl' :: (b -> a -> b) -> b -> Proxy a -> b

foldr1 :: (a -> a -> a) -> Proxy a -> a

foldl1 :: (a -> a -> a) -> Proxy a -> a

toList :: Proxy a -> [a]

null :: Proxy a -> Bool

length :: Proxy a -> Int

elem :: Eq a => a -> Proxy a -> Bool

maximum :: Ord a => Proxy a -> a

minimum :: Ord a => Proxy a -> a

sum :: Num a => Proxy a -> a

product :: Num a => Proxy a -> a

Foldable (Map k)

Folds in order of increasing key.

Defined in Data.Map.Internal

Methods

fold :: Monoid m => Map k m -> m

foldMap :: Monoid m => (a -> m) -> Map k a -> m

foldMap' :: Monoid m => (a -> m) -> Map k a -> m

foldr :: (a -> b -> b) -> b -> Map k a -> b

foldr' :: (a -> b -> b) -> b -> Map k a -> b

foldl :: (b -> a -> b) -> b -> Map k a -> b

foldl' :: (b -> a -> b) -> b -> Map k a -> b

foldr1 :: (a -> a -> a) -> Map k a -> a

foldl1 :: (a -> a -> a) -> Map k a -> a

toList :: Map k a -> [a]

null :: Map k a -> Bool

length :: Map k a -> Int

elem :: Eq a => a -> Map k a -> Bool

maximum :: Ord a => Map k a -> a

minimum :: Ord a => Map k a -> a

sum :: Num a => Map k a -> a

product :: Num a => Map k a -> a

Foldable f => Foldable (MaybeT f)

Defined in Control.Monad.Trans.Maybe

Methods

fold :: Monoid m => MaybeT f m -> m

foldMap :: Monoid m => (a -> m) -> MaybeT f a -> m

foldMap' :: Monoid m => (a -> m) -> MaybeT f a -> m

foldr :: (a -> b -> b) -> b -> MaybeT f a -> b

foldr' :: (a -> b -> b) -> b -> MaybeT f a -> b

foldl :: (b -> a -> b) -> b -> MaybeT f a -> b

foldl' :: (b -> a -> b) -> b -> MaybeT f a -> b

foldr1 :: (a -> a -> a) -> MaybeT f a -> a

foldl1 :: (a -> a -> a) -> MaybeT f a -> a

toList :: MaybeT f a -> [a]

null :: MaybeT f a -> Bool

length :: MaybeT f a -> Int

elem :: Eq a => a -> MaybeT f a -> Bool

maximum :: Ord a => MaybeT f a -> a

minimum :: Ord a => MaybeT f a -> a

sum :: Num a => MaybeT f a -> a

product :: Num a => MaybeT f a -> a

Foldable f => Foldable (Cofree f)

Defined in Control.Comonad.Cofree

Methods

fold :: Monoid m => Cofree f m -> m

foldMap :: Monoid m => (a -> m) -> Cofree f a -> m

foldMap' :: Monoid m => (a -> m) -> Cofree f a -> m

foldr :: (a -> b -> b) -> b -> Cofree f a -> b

foldr' :: (a -> b -> b) -> b -> Cofree f a -> b

foldl :: (b -> a -> b) -> b -> Cofree f a -> b

foldl' :: (b -> a -> b) -> b -> Cofree f a -> b

foldr1 :: (a -> a -> a) -> Cofree f a -> a

foldl1 :: (a -> a -> a) -> Cofree f a -> a

toList :: Cofree f a -> [a]

null :: Cofree f a -> Bool

length :: Cofree f a -> Int

elem :: Eq a => a -> Cofree f a -> Bool

maximum :: Ord a => Cofree f a -> a

minimum :: Ord a => Cofree f a -> a

sum :: Num a => Cofree f a -> a

product :: Num a => Cofree f a -> a

Foldable f => Foldable (Free f)

Defined in Control.Monad.Free

Methods

fold :: Monoid m => Free f m -> m

foldMap :: Monoid m => (a -> m) -> Free f a -> m

foldMap' :: Monoid m => (a -> m) -> Free f a -> m

foldr :: (a -> b -> b) -> b -> Free f a -> b

foldr' :: (a -> b -> b) -> b -> Free f a -> b

foldl :: (b -> a -> b) -> b -> Free f a -> b

foldl' :: (b -> a -> b) -> b -> Free f a -> b

foldr1 :: (a -> a -> a) -> Free f a -> a

foldl1 :: (a -> a -> a) -> Free f a -> a

toList :: Free f a -> [a]

null :: Free f a -> Bool

length :: Free f a -> Int

elem :: Eq a => a -> Free f a -> Bool

maximum :: Ord a => Free f a -> a

minimum :: Ord a => Free f a -> a

sum :: Num a => Free f a -> a

product :: Num a => Free f a -> a

Foldable f => Foldable (Yoneda f)

Defined in Data.Functor.Yoneda

Methods

fold :: Monoid m => Yoneda f m -> m

foldMap :: Monoid m => (a -> m) -> Yoneda f a -> m

foldMap' :: Monoid m => (a -> m) -> Yoneda f a -> m

foldr :: (a -> b -> b) -> b -> Yoneda f a -> b

foldr' :: (a -> b -> b) -> b -> Yoneda f a -> b

foldl :: (b -> a -> b) -> b -> Yoneda f a -> b

foldl' :: (b -> a -> b) -> b -> Yoneda f a -> b

foldr1 :: (a -> a -> a) -> Yoneda f a -> a

foldl1 :: (a -> a -> a) -> Yoneda f a -> a

toList :: Yoneda f a -> [a]

null :: Yoneda f a -> Bool

length :: Yoneda f a -> Int

elem :: Eq a => a -> Yoneda f a -> Bool

maximum :: Ord a => Yoneda f a -> a

minimum :: Ord a => Yoneda f a -> a

sum :: Num a => Yoneda f a -> a

product :: Num a => Yoneda f a -> a

Foldable (HashMap k)

Defined in Data.HashMap.Internal

Methods

fold :: Monoid m => HashMap k m -> m

foldMap :: Monoid m => (a -> m) -> HashMap k a -> m

foldMap' :: Monoid m => (a -> m) -> HashMap k a -> m

foldr :: (a -> b -> b) -> b -> HashMap k a -> b

foldr' :: (a -> b -> b) -> b -> HashMap k a -> b

foldl :: (b -> a -> b) -> b -> HashMap k a -> b

foldl' :: (b -> a -> b) -> b -> HashMap k a -> b

foldr1 :: (a -> a -> a) -> HashMap k a -> a

foldl1 :: (a -> a -> a) -> HashMap k a -> a

toList :: HashMap k a -> [a]

null :: HashMap k a -> Bool

length :: HashMap k a -> Int

elem :: Eq a => a -> HashMap k a -> Bool

maximum :: Ord a => HashMap k a -> a

minimum :: Ord a => HashMap k a -> a

sum :: Num a => HashMap k a -> a

product :: Num a => HashMap k a -> a

Foldable f => Foldable (Rec1 f)

Since: base-4.9.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => Rec1 f m -> m

foldMap :: Monoid m => (a -> m) -> Rec1 f a -> m

foldMap' :: Monoid m => (a -> m) -> Rec1 f a -> m

foldr :: (a -> b -> b) -> b -> Rec1 f a -> b

foldr' :: (a -> b -> b) -> b -> Rec1 f a -> b

foldl :: (b -> a -> b) -> b -> Rec1 f a -> b

foldl' :: (b -> a -> b) -> b -> Rec1 f a -> b

foldr1 :: (a -> a -> a) -> Rec1 f a -> a

foldl1 :: (a -> a -> a) -> Rec1 f a -> a

toList :: Rec1 f a -> [a]

null :: Rec1 f a -> Bool

length :: Rec1 f a -> Int

elem :: Eq a => a -> Rec1 f a -> Bool

maximum :: Ord a => Rec1 f a -> a

minimum :: Ord a => Rec1 f a -> a

sum :: Num a => Rec1 f a -> a

product :: Num a => Rec1 f a -> a

Foldable (Const m :: Type -> Type)

Since: base-4.7.0.0

Defined in Data.Functor.Const

Methods

fold :: Monoid m0 => Const m m0 -> m0

foldMap :: Monoid m0 => (a -> m0) -> Const m a -> m0

foldMap' :: Monoid m0 => (a -> m0) -> Const m a -> m0

foldr :: (a -> b -> b) -> b -> Const m a -> b

foldr' :: (a -> b -> b) -> b -> Const m a -> b

foldl :: (b -> a -> b) -> b -> Const m a -> b

foldl' :: (b -> a -> b) -> b -> Const m a -> b

foldr1 :: (a -> a -> a) -> Const m a -> a

foldl1 :: (a -> a -> a) -> Const m a -> a

toList :: Const m a -> [a]

null :: Const m a -> Bool

length :: Const m a -> Int

elem :: Eq a => a -> Const m a -> Bool

maximum :: Ord a => Const m a -> a

minimum :: Ord a => Const m a -> a

sum :: Num a => Const m a -> a

product :: Num a => Const m a -> a

Foldable f => Foldable (Ap f)

Since: base-4.12.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => Ap f m -> m

foldMap :: Monoid m => (a -> m) -> Ap f a -> m

foldMap' :: Monoid m => (a -> m) -> Ap f a -> m

foldr :: (a -> b -> b) -> b -> Ap f a -> b

foldr' :: (a -> b -> b) -> b -> Ap f a -> b

foldl :: (b -> a -> b) -> b -> Ap f a -> b

foldl' :: (b -> a -> b) -> b -> Ap f a -> b

foldr1 :: (a -> a -> a) -> Ap f a -> a

foldl1 :: (a -> a -> a) -> Ap f a -> a

toList :: Ap f a -> [a]

null :: Ap f a -> Bool

length :: Ap f a -> Int

elem :: Eq a => a -> Ap f a -> Bool

maximum :: Ord a => Ap f a -> a

minimum :: Ord a => Ap f a -> a

sum :: Num a => Ap f a -> a

product :: Num a => Ap f a -> a

Foldable f => Foldable (Alt f)

Since: base-4.12.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => Alt f m -> m

foldMap :: Monoid m => (a -> m) -> Alt f a -> m

foldMap' :: Monoid m => (a -> m) -> Alt f a -> m

foldr :: (a -> b -> b) -> b -> Alt f a -> b

foldr' :: (a -> b -> b) -> b -> Alt f a -> b

foldl :: (b -> a -> b) -> b -> Alt f a -> b

foldl' :: (b -> a -> b) -> b -> Alt f a -> b

foldr1 :: (a -> a -> a) -> Alt f a -> a

foldl1 :: (a -> a -> a) -> Alt f a -> a

toList :: Alt f a -> [a]

null :: Alt f a -> Bool

length :: Alt f a -> Int

elem :: Eq a => a -> Alt f a -> Bool

maximum :: Ord a => Alt f a -> a

minimum :: Ord a => Alt f a -> a

sum :: Num a => Alt f a -> a

product :: Num a => Alt f a -> a

Bifoldable p => Foldable (Join p)

Defined in Data.Bifunctor.Join

Methods

fold :: Monoid m => Join p m -> m

foldMap :: Monoid m => (a -> m) -> Join p a -> m

foldMap' :: Monoid m => (a -> m) -> Join p a -> m

foldr :: (a -> b -> b) -> b -> Join p a -> b

foldr' :: (a -> b -> b) -> b -> Join p a -> b

foldl :: (b -> a -> b) -> b -> Join p a -> b

foldl' :: (b -> a -> b) -> b -> Join p a -> b

foldr1 :: (a -> a -> a) -> Join p a -> a

foldl1 :: (a -> a -> a) -> Join p a -> a

toList :: Join p a -> [a]

null :: Join p a -> Bool

length :: Join p a -> Int

elem :: Eq a => a -> Join p a -> Bool

maximum :: Ord a => Join p a -> a

minimum :: Ord a => Join p a -> a

sum :: Num a => Join p a -> a

product :: Num a => Join p a -> a

Bifoldable p => Foldable (Fix p)

Defined in Data.Bifunctor.Fix

Methods

fold :: Monoid m => Fix p m -> m

foldMap :: Monoid m => (a -> m) -> Fix p a -> m

foldMap' :: Monoid m => (a -> m) -> Fix p a -> m

foldr :: (a -> b -> b) -> b -> Fix p a -> b

foldr' :: (a -> b -> b) -> b -> Fix p a -> b

foldl :: (b -> a -> b) -> b -> Fix p a -> b

foldl' :: (b -> a -> b) -> b -> Fix p a -> b

foldr1 :: (a -> a -> a) -> Fix p a -> a

foldl1 :: (a -> a -> a) -> Fix p a -> a

toList :: Fix p a -> [a]

null :: Fix p a -> Bool

length :: Fix p a -> Int

elem :: Eq a => a -> Fix p a -> Bool

maximum :: Ord a => Fix p a -> a

minimum :: Ord a => Fix p a -> a

sum :: Num a => Fix p a -> a

product :: Num a => Fix p a -> a

Foldable f => Foldable (IdentityT f)

Defined in Control.Monad.Trans.Identity

Methods

fold :: Monoid m => IdentityT f m -> m

foldMap :: Monoid m => (a -> m) -> IdentityT f a -> m

foldMap' :: Monoid m => (a -> m) -> IdentityT f a -> m

foldr :: (a -> b -> b) -> b -> IdentityT f a -> b

foldr' :: (a -> b -> b) -> b -> IdentityT f a -> b

foldl :: (b -> a -> b) -> b -> IdentityT f a -> b

foldl' :: (b -> a -> b) -> b -> IdentityT f a -> b

foldr1 :: (a -> a -> a) -> IdentityT f a -> a

foldl1 :: (a -> a -> a) -> IdentityT f a -> a

toList :: IdentityT f a -> [a]

null :: IdentityT f a -> Bool

length :: IdentityT f a -> Int

elem :: Eq a => a -> IdentityT f a -> Bool

maximum :: Ord a => IdentityT f a -> a

minimum :: Ord a => IdentityT f a -> a

sum :: Num a => IdentityT f a -> a

product :: Num a => IdentityT f a -> a

Foldable f => Foldable (ExceptT e f)

Defined in Control.Monad.Trans.Except

Methods

fold :: Monoid m => ExceptT e f m -> m

foldMap :: Monoid m => (a -> m) -> ExceptT e f a -> m

foldMap' :: Monoid m => (a -> m) -> ExceptT e f a -> m

foldr :: (a -> b -> b) -> b -> ExceptT e f a -> b

foldr' :: (a -> b -> b) -> b -> ExceptT e f a -> b

foldl :: (b -> a -> b) -> b -> ExceptT e f a -> b

foldl' :: (b -> a -> b) -> b -> ExceptT e f a -> b

foldr1 :: (a -> a -> a) -> ExceptT e f a -> a

foldl1 :: (a -> a -> a) -> ExceptT e f a -> a

toList :: ExceptT e f a -> [a]

null :: ExceptT e f a -> Bool

length :: ExceptT e f a -> Int

elem :: Eq a => a -> ExceptT e f a -> Bool

maximum :: Ord a => ExceptT e f a -> a

minimum :: Ord a => ExceptT e f a -> a

sum :: Num a => ExceptT e f a -> a

product :: Num a => ExceptT e f a -> a

Foldable f => Foldable (FreeF f a)

Defined in Control.Monad.Trans.Free

Methods

fold :: Monoid m => FreeF f a m -> m

foldMap :: Monoid m => (a0 -> m) -> FreeF f a a0 -> m

foldMap' :: Monoid m => (a0 -> m) -> FreeF f a a0 -> m

foldr :: (a0 -> b -> b) -> b -> FreeF f a a0 -> b

foldr' :: (a0 -> b -> b) -> b -> FreeF f a a0 -> b

foldl :: (b -> a0 -> b) -> b -> FreeF f a a0 -> b

foldl' :: (b -> a0 -> b) -> b -> FreeF f a a0 -> b

foldr1 :: (a0 -> a0 -> a0) -> FreeF f a a0 -> a0

foldl1 :: (a0 -> a0 -> a0) -> FreeF f a a0 -> a0

toList :: FreeF f a a0 -> [a0]

null :: FreeF f a a0 -> Bool

length :: FreeF f a a0 -> Int

elem :: Eq a0 => a0 -> FreeF f a a0 -> Bool

maximum :: Ord a0 => FreeF f a a0 -> a0

minimum :: Ord a0 => FreeF f a a0 -> a0

sum :: Num a0 => FreeF f a a0 -> a0

product :: Num a0 => FreeF f a a0 -> a0

(Foldable m, Foldable f) => Foldable (FreeT f m)

Defined in Control.Monad.Trans.Free

Methods

fold :: Monoid m0 => FreeT f m m0 -> m0

foldMap :: Monoid m0 => (a -> m0) -> FreeT f m a -> m0

foldMap' :: Monoid m0 => (a -> m0) -> FreeT f m a -> m0

foldr :: (a -> b -> b) -> b -> FreeT f m a -> b

foldr' :: (a -> b -> b) -> b -> FreeT f m a -> b

foldl :: (b -> a -> b) -> b -> FreeT f m a -> b

foldl' :: (b -> a -> b) -> b -> FreeT f m a -> b

foldr1 :: (a -> a -> a) -> FreeT f m a -> a

foldl1 :: (a -> a -> a) -> FreeT f m a -> a

toList :: FreeT f m a -> [a]

null :: FreeT f m a -> Bool

length :: FreeT f m a -> Int

elem :: Eq a => a -> FreeT f m a -> Bool

maximum :: Ord a => FreeT f m a -> a

minimum :: Ord a => FreeT f m a -> a

sum :: Num a => FreeT f m a -> a

product :: Num a => FreeT f m a -> a

Foldable f => Foldable (CofreeF f a)

Defined in Control.Comonad.Trans.Cofree

Methods

fold :: Monoid m => CofreeF f a m -> m

foldMap :: Monoid m => (a0 -> m) -> CofreeF f a a0 -> m

foldMap' :: Monoid m => (a0 -> m) -> CofreeF f a a0 -> m

foldr :: (a0 -> b -> b) -> b -> CofreeF f a a0 -> b

foldr' :: (a0 -> b -> b) -> b -> CofreeF f a a0 -> b

foldl :: (b -> a0 -> b) -> b -> CofreeF f a a0 -> b

foldl' :: (b -> a0 -> b) -> b -> CofreeF f a a0 -> b

foldr1 :: (a0 -> a0 -> a0) -> CofreeF f a a0 -> a0

foldl1 :: (a0 -> a0 -> a0) -> CofreeF f a a0 -> a0

toList :: CofreeF f a a0 -> [a0]

null :: CofreeF f a a0 -> Bool

length :: CofreeF f a a0 -> Int

elem :: Eq a0 => a0 -> CofreeF f a a0 -> Bool

maximum :: Ord a0 => CofreeF f a a0 -> a0

minimum :: Ord a0 => CofreeF f a a0 -> a0

sum :: Num a0 => CofreeF f a a0 -> a0

product :: Num a0 => CofreeF f a a0 -> a0

(Foldable f, Foldable w) => Foldable (CofreeT f w)

Defined in Control.Comonad.Trans.Cofree

Methods

fold :: Monoid m => CofreeT f w m -> m

foldMap :: Monoid m => (a -> m) -> CofreeT f w a -> m

foldMap' :: Monoid m => (a -> m) -> CofreeT f w a -> m

foldr :: (a -> b -> b) -> b -> CofreeT f w a -> b

foldr' :: (a -> b -> b) -> b -> CofreeT f w a -> b

foldl :: (b -> a -> b) -> b -> CofreeT f w a -> b

foldl' :: (b -> a -> b) -> b -> CofreeT f w a -> b

foldr1 :: (a -> a -> a) -> CofreeT f w a -> a

foldl1 :: (a -> a -> a) -> CofreeT f w a -> a

toList :: CofreeT f w a -> [a]

null :: CofreeT f w a -> Bool

length :: CofreeT f w a -> Int

elem :: Eq a => a -> CofreeT f w a -> Bool

maximum :: Ord a => CofreeT f w a -> a

minimum :: Ord a => CofreeT f w a -> a

sum :: Num a => CofreeT f w a -> a

product :: Num a => CofreeT f w a -> a

Foldable f => Foldable (ErrorT e f)

Defined in Control.Monad.Trans.Error

Methods

fold :: Monoid m => ErrorT e f m -> m

foldMap :: Monoid m => (a -> m) -> ErrorT e f a -> m

foldMap' :: Monoid m => (a -> m) -> ErrorT e f a -> m

foldr :: (a -> b -> b) -> b -> ErrorT e f a -> b

foldr' :: (a -> b -> b) -> b -> ErrorT e f a -> b

foldl :: (b -> a -> b) -> b -> ErrorT e f a -> b

foldl' :: (b -> a -> b) -> b -> ErrorT e f a -> b

foldr1 :: (a -> a -> a) -> ErrorT e f a -> a

foldl1 :: (a -> a -> a) -> ErrorT e f a -> a

toList :: ErrorT e f a -> [a]

null :: ErrorT e f a -> Bool

length :: ErrorT e f a -> Int

elem :: Eq a => a -> ErrorT e f a -> Bool

maximum :: Ord a => ErrorT e f a -> a

minimum :: Ord a => ErrorT e f a -> a

sum :: Num a => ErrorT e f a -> a

product :: Num a => ErrorT e f a -> a

Foldable (Tagged s)

Defined in Data.Tagged

Methods

fold :: Monoid m => Tagged s m -> m

foldMap :: Monoid m => (a -> m) -> Tagged s a -> m

foldMap' :: Monoid m => (a -> m) -> Tagged s a -> m

foldr :: (a -> b -> b) -> b -> Tagged s a -> b

foldr' :: (a -> b -> b) -> b -> Tagged s a -> b

foldl :: (b -> a -> b) -> b -> Tagged s a -> b

foldl' :: (b -> a -> b) -> b -> Tagged s a -> b

foldr1 :: (a -> a -> a) -> Tagged s a -> a

foldl1 :: (a -> a -> a) -> Tagged s a -> a

toList :: Tagged s a -> [a]

null :: Tagged s a -> Bool

length :: Tagged s a -> Int

elem :: Eq a => a -> Tagged s a -> Bool

maximum :: Ord a => Tagged s a -> a

minimum :: Ord a => Tagged s a -> a

sum :: Num a => Tagged s a -> a

product :: Num a => Tagged s a -> a

Foldable (K1 i c :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => K1 i c m -> m

foldMap :: Monoid m => (a -> m) -> K1 i c a -> m

foldMap' :: Monoid m => (a -> m) -> K1 i c a -> m

foldr :: (a -> b -> b) -> b -> K1 i c a -> b

foldr' :: (a -> b -> b) -> b -> K1 i c a -> b

foldl :: (b -> a -> b) -> b -> K1 i c a -> b

foldl' :: (b -> a -> b) -> b -> K1 i c a -> b

foldr1 :: (a -> a -> a) -> K1 i c a -> a

foldl1 :: (a -> a -> a) -> K1 i c a -> a

toList :: K1 i c a -> [a]

null :: K1 i c a -> Bool

length :: K1 i c a -> Int

elem :: Eq a => a -> K1 i c a -> Bool

maximum :: Ord a => K1 i c a -> a

minimum :: Ord a => K1 i c a -> a

sum :: Num a => K1 i c a -> a

product :: Num a => K1 i c a -> a

(Foldable f, Foldable g) => Foldable (f :+: g)

Since: base-4.9.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => (f :+: g) m -> m

foldMap :: Monoid m => (a -> m) -> (f :+: g) a -> m

foldMap' :: Monoid m => (a -> m) -> (f :+: g) a -> m

foldr :: (a -> b -> b) -> b -> (f :+: g) a -> b

foldr' :: (a -> b -> b) -> b -> (f :+: g) a -> b

foldl :: (b -> a -> b) -> b -> (f :+: g) a -> b

foldl' :: (b -> a -> b) -> b -> (f :+: g) a -> b

foldr1 :: (a -> a -> a) -> (f :+: g) a -> a

foldl1 :: (a -> a -> a) -> (f :+: g) a -> a

toList :: (f :+: g) a -> [a]

null :: (f :+: g) a -> Bool

length :: (f :+: g) a -> Int

elem :: Eq a => a -> (f :+: g) a -> Bool

maximum :: Ord a => (f :+: g) a -> a

minimum :: Ord a => (f :+: g) a -> a

sum :: Num a => (f :+: g) a -> a

product :: Num a => (f :+: g) a -> a

(Foldable f, Foldable g) => Foldable (f :*: g)

Since: base-4.9.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => (f :*: g) m -> m

foldMap :: Monoid m => (a -> m) -> (f :*: g) a -> m

foldMap' :: Monoid m => (a -> m) -> (f :*: g) a -> m

foldr :: (a -> b -> b) -> b -> (f :*: g) a -> b

foldr' :: (a -> b -> b) -> b -> (f :*: g) a -> b

foldl :: (b -> a -> b) -> b -> (f :*: g) a -> b

foldl' :: (b -> a -> b) -> b -> (f :*: g) a -> b

foldr1 :: (a -> a -> a) -> (f :*: g) a -> a

foldl1 :: (a -> a -> a) -> (f :*: g) a -> a

toList :: (f :*: g) a -> [a]

null :: (f :*: g) a -> Bool

length :: (f :*: g) a -> Int

elem :: Eq a => a -> (f :*: g) a -> Bool

maximum :: Ord a => (f :*: g) a -> a

minimum :: Ord a => (f :*: g) a -> a

sum :: Num a => (f :*: g) a -> a

product :: Num a => (f :*: g) a -> a

Foldable f => Foldable (M1 i c f)

Since: base-4.9.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => M1 i c f m -> m

foldMap :: Monoid m => (a -> m) -> M1 i c f a -> m

foldMap' :: Monoid m => (a -> m) -> M1 i c f a -> m

foldr :: (a -> b -> b) -> b -> M1 i c f a -> b

foldr' :: (a -> b -> b) -> b -> M1 i c f a -> b

foldl :: (b -> a -> b) -> b -> M1 i c f a -> b

foldl' :: (b -> a -> b) -> b -> M1 i c f a -> b

foldr1 :: (a -> a -> a) -> M1 i c f a -> a

foldl1 :: (a -> a -> a) -> M1 i c f a -> a

toList :: M1 i c f a -> [a]

null :: M1 i c f a -> Bool

length :: M1 i c f a -> Int

elem :: Eq a => a -> M1 i c f a -> Bool

maximum :: Ord a => M1 i c f a -> a

minimum :: Ord a => M1 i c f a -> a

sum :: Num a => M1 i c f a -> a

product :: Num a => M1 i c f a -> a

(Foldable f, Foldable g) => Foldable (f :.: g)

Since: base-4.9.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => (f :.: g) m -> m

foldMap :: Monoid m => (a -> m) -> (f :.: g) a -> m

foldMap' :: Monoid m => (a -> m) -> (f :.: g) a -> m

foldr :: (a -> b -> b) -> b -> (f :.: g) a -> b

foldr' :: (a -> b -> b) -> b -> (f :.: g) a -> b

foldl :: (b -> a -> b) -> b -> (f :.: g) a -> b

foldl' :: (b -> a -> b) -> b -> (f :.: g) a -> b

foldr1 :: (a -> a -> a) -> (f :.: g) a -> a

foldl1 :: (a -> a -> a) -> (f :.: g) a -> a

toList :: (f :.: g) a -> [a]

null :: (f :.: g) a -> Bool

length :: (f :.: g) a -> Int

elem :: Eq a => a -> (f :.: g) a -> Bool

maximum :: Ord a => (f :.: g) a -> a

minimum :: Ord a => (f :.: g) a -> a

sum :: Num a => (f :.: g) a -> a

product :: Num a => (f :.: g) a -> a

(Foldable f, Foldable g) => Foldable (Compose f g)

Since: base-4.9.0.0

Defined in Data.Functor.Compose

Methods

fold :: Monoid m => Compose f g m -> m

foldMap :: Monoid m => (a -> m) -> Compose f g a -> m

foldMap' :: Monoid m => (a -> m) -> Compose f g a -> m

foldr :: (a -> b -> b) -> b -> Compose f g a -> b

foldr' :: (a -> b -> b) -> b -> Compose f g a -> b

foldl :: (b -> a -> b) -> b -> Compose f g a -> b

foldl' :: (b -> a -> b) -> b -> Compose f g a -> b

foldr1 :: (a -> a -> a) -> Compose f g a -> a

foldl1 :: (a -> a -> a) -> Compose f g a -> a

toList :: Compose f g a -> [a]

null :: Compose f g a -> Bool

length :: Compose f g a -> Int

elem :: Eq a => a -> Compose f g a -> Bool

maximum :: Ord a => Compose f g a -> a

minimum :: Ord a => Compose f g a -> a

sum :: Num a => Compose f g a -> a

product :: Num a => Compose f g a -> a

Bifoldable p => Foldable (WrappedBifunctor p a)

Defined in Data.Bifunctor.Wrapped

Methods

fold :: Monoid m => WrappedBifunctor p a m -> m

foldMap :: Monoid m => (a0 -> m) -> WrappedBifunctor p a a0 -> m

foldMap' :: Monoid m => (a0 -> m) -> WrappedBifunctor p a a0 -> m

foldr :: (a0 -> b -> b) -> b -> WrappedBifunctor p a a0 -> b

foldr' :: (a0 -> b -> b) -> b -> WrappedBifunctor p a a0 -> b

foldl :: (b -> a0 -> b) -> b -> WrappedBifunctor p a a0 -> b

foldl' :: (b -> a0 -> b) -> b -> WrappedBifunctor p a a0 -> b

foldr1 :: (a0 -> a0 -> a0) -> WrappedBifunctor p a a0 -> a0

foldl1 :: (a0 -> a0 -> a0) -> WrappedBifunctor p a a0 -> a0

toList :: WrappedBifunctor p a a0 -> [a0]

null :: WrappedBifunctor p a a0 -> Bool

length :: WrappedBifunctor p a a0 -> Int

elem :: Eq a0 => a0 -> WrappedBifunctor p a a0 -> Bool

maximum :: Ord a0 => WrappedBifunctor p a a0 -> a0

minimum :: Ord a0 => WrappedBifunctor p a a0 -> a0

sum :: Num a0 => WrappedBifunctor p a a0 -> a0

product :: Num a0 => WrappedBifunctor p a a0 -> a0

Foldable g => Foldable (Joker g a)

Defined in Data.Bifunctor.Joker

Methods

fold :: Monoid m => Joker g a m -> m

foldMap :: Monoid m => (a0 -> m) -> Joker g a a0 -> m

foldMap' :: Monoid m => (a0 -> m) -> Joker g a a0 -> m

foldr :: (a0 -> b -> b) -> b -> Joker g a a0 -> b

foldr' :: (a0 -> b -> b) -> b -> Joker g a a0 -> b

foldl :: (b -> a0 -> b) -> b -> Joker g a a0 -> b

foldl' :: (b -> a0 -> b) -> b -> Joker g a a0 -> b

foldr1 :: (a0 -> a0 -> a0) -> Joker g a a0 -> a0

foldl1 :: (a0 -> a0 -> a0) -> Joker g a a0 -> a0

toList :: Joker g a a0 -> [a0]

null :: Joker g a a0 -> Bool

length :: Joker g a a0 -> Int

elem :: Eq a0 => a0 -> Joker g a a0 -> Bool

maximum :: Ord a0 => Joker g a a0 -> a0

minimum :: Ord a0 => Joker g a a0 -> a0

sum :: Num a0 => Joker g a a0 -> a0

product :: Num a0 => Joker g a a0 -> a0

Bifoldable p => Foldable (Flip p a)

Defined in Data.Bifunctor.Flip

Methods

fold :: Monoid m => Flip p a m -> m

foldMap :: Monoid m => (a0 -> m) -> Flip p a a0 -> m

foldMap' :: Monoid m => (a0 -> m) -> Flip p a a0 -> m

foldr :: (a0 -> b -> b) -> b -> Flip p a a0 -> b

foldr' :: (a0 -> b -> b) -> b -> Flip p a a0 -> b

foldl :: (b -> a0 -> b) -> b -> Flip p a a0 -> b

foldl' :: (b -> a0 -> b) -> b -> Flip p a a0 -> b

foldr1 :: (a0 -> a0 -> a0) -> Flip p a a0 -> a0

foldl1 :: (a0 -> a0 -> a0) -> Flip p a a0 -> a0

toList :: Flip p a a0 -> [a0]

null :: Flip p a a0 -> Bool

length :: Flip p a a0 -> Int

elem :: Eq a0 => a0 -> Flip p a a0 -> Bool

maximum :: Ord a0 => Flip p a a0 -> a0

minimum :: Ord a0 => Flip p a a0 -> a0

sum :: Num a0 => Flip p a a0 -> a0

product :: Num a0 => Flip p a a0 -> a0

Foldable (Clown f a :: Type -> Type)

Defined in Data.Bifunctor.Clown

Methods

fold :: Monoid m => Clown f a m -> m

foldMap :: Monoid m => (a0 -> m) -> Clown f a a0 -> m

foldMap' :: Monoid m => (a0 -> m) -> Clown f a a0 -> m

foldr :: (a0 -> b -> b) -> b -> Clown f a a0 -> b

foldr' :: (a0 -> b -> b) -> b -> Clown f a a0 -> b

foldl :: (b -> a0 -> b) -> b -> Clown f a a0 -> b

foldl' :: (b -> a0 -> b) -> b -> Clown f a a0 -> b

foldr1 :: (a0 -> a0 -> a0) -> Clown f a a0 -> a0

foldl1 :: (a0 -> a0 -> a0) -> Clown f a a0 -> a0

toList :: Clown f a a0 -> [a0]

null :: Clown f a a0 -> Bool

length :: Clown f a a0 -> Int

elem :: Eq a0 => a0 -> Clown f a a0 -> Bool

maximum :: Ord a0 => Clown f a a0 -> a0

minimum :: Ord a0 => Clown f a a0 -> a0

sum :: Num a0 => Clown f a a0 -> a0

product :: Num a0 => Clown f a a0 -> a0

(Foldable f, Bifoldable p) => Foldable (Tannen f p a)

Defined in Data.Bifunctor.Tannen

Methods

fold :: Monoid m => Tannen f p a m -> m

foldMap :: Monoid m => (a0 -> m) -> Tannen f p a a0 -> m

foldMap' :: Monoid m => (a0 -> m) -> Tannen f p a a0 -> m

foldr :: (a0 -> b -> b) -> b -> Tannen f p a a0 -> b

foldr' :: (a0 -> b -> b) -> b -> Tannen f p a a0 -> b

foldl :: (b -> a0 -> b) -> b -> Tannen f p a a0 -> b

foldl' :: (b -> a0 -> b) -> b -> Tannen f p a a0 -> b

foldr1 :: (a0 -> a0 -> a0) -> Tannen f p a a0 -> a0

foldl1 :: (a0 -> a0 -> a0) -> Tannen f p a a0 -> a0

toList :: Tannen f p a a0 -> [a0]

null :: Tannen f p a a0 -> Bool

length :: Tannen f p a a0 -> Int

elem :: Eq a0 => a0 -> Tannen f p a a0 -> Bool

maximum :: Ord a0 => Tannen f p a a0 -> a0

minimum :: Ord a0 => Tannen f p a a0 -> a0

sum :: Num a0 => Tannen f p a a0 -> a0

product :: Num a0 => Tannen f p a a0 -> a0

(Bifoldable p, Foldable g) => Foldable (Biff p f g a)

Defined in Data.Bifunctor.Biff

Methods

fold :: Monoid m => Biff p f g a m -> m

foldMap :: Monoid m => (a0 -> m) -> Biff p f g a a0 -> m

foldMap' :: Monoid m => (a0 -> m) -> Biff p f g a a0 -> m

foldr :: (a0 -> b -> b) -> b -> Biff p f g a a0 -> b

foldr' :: (a0 -> b -> b) -> b -> Biff p f g a a0 -> b

foldl :: (b -> a0 -> b) -> b -> Biff p f g a a0 -> b

foldl' :: (b -> a0 -> b) -> b -> Biff p f g a a0 -> b

foldr1 :: (a0 -> a0 -> a0) -> Biff p f g a a0 -> a0

foldl1 :: (a0 -> a0 -> a0) -> Biff p f g a a0 -> a0

toList :: Biff p f g a a0 -> [a0]

null :: Biff p f g a a0 -> Bool

length :: Biff p f g a a0 -> Int

elem :: Eq a0 => a0 -> Biff p f g a a0 -> Bool

maximum :: Ord a0 => Biff p f g a a0 -> a0

minimum :: Ord a0 => Biff p f g a a0 -> a0

sum :: Num a0 => Biff p f g a a0 -> a0

product :: Num a0 => Biff p f g a a0 -> a0

class (Functor t, Foldable t) => Traversable (t :: Type -> Type) where

Functors representing data structures that can be traversed from left to right.

A definition of traverse must satisfy the following laws:

Naturality

t . traverse f = traverse (t . f) for every applicative transformation t

Identity

traverse Identity = Identity

Composition

traverse (Compose . fmap g . f) = Compose . fmap (traverse g) . traverse f

A definition of sequenceA must satisfy the following laws:

Naturality

t . sequenceA = sequenceA . fmap t for every applicative transformation t

Identity

sequenceA . fmap Identity = Identity

Composition

sequenceA . fmap Compose = Compose . fmap sequenceA . sequenceA

where an applicative transformation is a function

t :: (Applicative f, Applicative g) => f a -> g a

preserving the Applicative operations, i.e.

t (pure x) = pure x
t (f <*> x) = t f <*> t x

and the identity functor Identity and composition functors Compose are from Data.Functor.Identity and Data.Functor.Compose.

A result of the naturality law is a purity law for traverse

traverse pure = pure

(The naturality law is implied by parametricity and thus so is the purity law [1, p15].)

Instances are similar to Functor, e.g. given a data type

data Tree a = Empty | Leaf a | Node (Tree a) a (Tree a)

a suitable instance would be

instance Traversable Tree where
   traverse f Empty = pure Empty
   traverse f (Leaf x) = Leaf <$> f x
   traverse f (Node l k r) = Node <$> traverse f l <*> f k <*> traverse f r

This is suitable even for abstract types, as the laws for <*> imply a form of associativity.

The superclass instances should satisfy the following:

• In the Functor instance, fmap should be equivalent to traversal with the identity applicative functor (fmapDefault).
• In the Foldable instance, foldMap should be equivalent to traversal with a constant applicative functor (foldMapDefault).

References: [1] The Essence of the Iterator Pattern, Jeremy Gibbons and Bruno C. d. S. Oliveira

Minimal complete definition

traverse | sequenceA

Methods

traverse :: Applicative f => (a -> f b) -> t a -> f (t b)

Map each element of a structure to an action, evaluate these actions from left to right, and collect the results. For a version that ignores the results see traverse_.

sequenceA :: Applicative f => t (f a) -> f (t a)

Evaluate each action in the structure from left to right, and collect the results. For a version that ignores the results see sequenceA_.

mapM :: Monad m => (a -> m b) -> t a -> m (t b)

Map each element of a structure to a monadic action, evaluate these actions from left to right, and collect the results. For a version that ignores the results see mapM_.

sequence :: Monad m => t (m a) -> m (t a)

Evaluate each monadic action in the structure from left to right, and collect the results. For a version that ignores the results see sequence_.

Instances

Traversable []

Since: base-2.1

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> [a] -> f [b]

sequenceA :: Applicative f => [f a] -> f [a]

mapM :: Monad m => (a -> m b) -> [a] -> m [b]

sequence :: Monad m => [m a] -> m [a]

Traversable Maybe

Since: base-2.1

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> Maybe a -> f (Maybe b)

sequenceA :: Applicative f => Maybe (f a) -> f (Maybe a)

mapM :: Monad m => (a -> m b) -> Maybe a -> m (Maybe b)

sequence :: Monad m => Maybe (m a) -> m (Maybe a)

Traversable Par1

Since: base-4.9.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> Par1 a -> f (Par1 b)

sequenceA :: Applicative f => Par1 (f a) -> f (Par1 a)

mapM :: Monad m => (a -> m b) -> Par1 a -> m (Par1 b)

sequence :: Monad m => Par1 (m a) -> m (Par1 a)

Traversable Min

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

traverse :: Applicative f => (a -> f b) -> Min a -> f (Min b)

sequenceA :: Applicative f => Min (f a) -> f (Min a)

mapM :: Monad m => (a -> m b) -> Min a -> m (Min b)

sequence :: Monad m => Min (m a) -> m (Min a)

Traversable Max

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

traverse :: Applicative f => (a -> f b) -> Max a -> f (Max b)

sequenceA :: Applicative f => Max (f a) -> f (Max a)

mapM :: Monad m => (a -> m b) -> Max a -> m (Max b)

sequence :: Monad m => Max (m a) -> m (Max a)

Traversable First

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

traverse :: Applicative f => (a -> f b) -> First a -> f (First b)

sequenceA :: Applicative f => First (f a) -> f (First a)

mapM :: Monad m => (a -> m b) -> First a -> m (First b)

sequence :: Monad m => First (m a) -> m (First a)

Traversable Last

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

traverse :: Applicative f => (a -> f b) -> Last a -> f (Last b)

sequenceA :: Applicative f => Last (f a) -> f (Last a)

mapM :: Monad m => (a -> m b) -> Last a -> m (Last b)

sequence :: Monad m => Last (m a) -> m (Last a)

Traversable Option

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

traverse :: Applicative f => (a -> f b) -> Option a -> f (Option b)

sequenceA :: Applicative f => Option (f a) -> f (Option a)

mapM :: Monad m => (a -> m b) -> Option a -> m (Option b)

sequence :: Monad m => Option (m a) -> m (Option a)

Traversable ZipList

Since: base-4.9.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> ZipList a -> f (ZipList b)

sequenceA :: Applicative f => ZipList (f a) -> f (ZipList a)

mapM :: Monad m => (a -> m b) -> ZipList a -> m (ZipList b)

sequence :: Monad m => ZipList (m a) -> m (ZipList a)

Traversable Identity

Since: base-4.9.0.0

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)

Traversable First

Since: base-4.8.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> First a -> f (First b)

sequenceA :: Applicative f => First (f a) -> f (First a)

mapM :: Monad m => (a -> m b) -> First a -> m (First b)

sequence :: Monad m => First (m a) -> m (First a)

Traversable Last

Since: base-4.8.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> Last a -> f (Last b)

sequenceA :: Applicative f => Last (f a) -> f (Last a)

mapM :: Monad m => (a -> m b) -> Last a -> m (Last b)

sequence :: Monad m => Last (m a) -> m (Last a)

Traversable Dual

Since: base-4.8.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> Dual a -> f (Dual b)

sequenceA :: Applicative f => Dual (f a) -> f (Dual a)

mapM :: Monad m => (a -> m b) -> Dual a -> m (Dual b)

sequence :: Monad m => Dual (m a) -> m (Dual a)

Traversable Sum

Since: base-4.8.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> Sum a -> f (Sum b)

sequenceA :: Applicative f => Sum (f a) -> f (Sum a)

mapM :: Monad m => (a -> m b) -> Sum a -> m (Sum b)

sequence :: Monad m => Sum (m a) -> m (Sum a)

Traversable Product

Since: base-4.8.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> Product a -> f (Product b)

sequenceA :: Applicative f => Product (f a) -> f (Product a)

mapM :: Monad m => (a -> m b) -> Product a -> m (Product b)

sequence :: Monad m => Product (m a) -> m (Product a)

Traversable Down

Since: base-4.12.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> Down a -> f (Down b)

sequenceA :: Applicative f => Down (f a) -> f (Down a)

mapM :: Monad m => (a -> m b) -> Down a -> m (Down b)

sequence :: Monad m => Down (m a) -> m (Down a)

Traversable NonEmpty

Since: base-4.9.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> NonEmpty a -> f (NonEmpty b)

sequenceA :: Applicative f => NonEmpty (f a) -> f (NonEmpty a)

mapM :: Monad m => (a -> m b) -> NonEmpty a -> m (NonEmpty b)

sequence :: Monad m => NonEmpty (m a) -> m (NonEmpty a)

Traversable IntMap

Traverses in order of increasing key.

Defined in Data.IntMap.Internal

Methods

traverse :: Applicative f => (a -> f b) -> IntMap a -> f (IntMap b)

sequenceA :: Applicative f => IntMap (f a) -> f (IntMap a)

mapM :: Monad m => (a -> m b) -> IntMap a -> m (IntMap b)

sequence :: Monad m => IntMap (m a) -> m (IntMap a)

Traversable Seq

Defined in Data.Sequence.Internal

Methods

traverse :: Applicative f => (a -> f b) -> Seq a -> f (Seq b)

sequenceA :: Applicative f => Seq (f a) -> f (Seq a)

mapM :: Monad m => (a -> m b) -> Seq a -> m (Seq b)

sequence :: Monad m => Seq (m a) -> m (Seq a)

Traversable FingerTree

Defined in Data.Sequence.Internal

Methods

traverse :: Applicative f => (a -> f b) -> FingerTree a -> f (FingerTree b)

sequenceA :: Applicative f => FingerTree (f a) -> f (FingerTree a)

mapM :: Monad m => (a -> m b) -> FingerTree a -> m (FingerTree b)

sequence :: Monad m => FingerTree (m a) -> m (FingerTree a)

Traversable Digit

Defined in Data.Sequence.Internal

Methods

traverse :: Applicative f => (a -> f b) -> Digit a -> f (Digit b)

sequenceA :: Applicative f => Digit (f a) -> f (Digit a)

mapM :: Monad m => (a -> m b) -> Digit a -> m (Digit b)

sequence :: Monad m => Digit (m a) -> m (Digit a)

Traversable Node

Defined in Data.Sequence.Internal

Methods

traverse :: Applicative f => (a -> f b) -> Node a -> f (Node b)

sequenceA :: Applicative f => Node (f a) -> f (Node a)

mapM :: Monad m => (a -> m b) -> Node a -> m (Node b)

sequence :: Monad m => Node (m a) -> m (Node a)

Traversable Elem

Defined in Data.Sequence.Internal

Methods

traverse :: Applicative f => (a -> f b) -> Elem a -> f (Elem b)

sequenceA :: Applicative f => Elem (f a) -> f (Elem a)

mapM :: Monad m => (a -> m b) -> Elem a -> m (Elem b)

sequence :: Monad m => Elem (m a) -> m (Elem a)

Traversable ViewL

Defined in Data.Sequence.Internal

Methods

traverse :: Applicative f => (a -> f b) -> ViewL a -> f (ViewL b)

sequenceA :: Applicative f => ViewL (f a) -> f (ViewL a)

mapM :: Monad m => (a -> m b) -> ViewL a -> m (ViewL b)

sequence :: Monad m => ViewL (m a) -> m (ViewL a)

Traversable ViewR

Defined in Data.Sequence.Internal

Methods

traverse :: Applicative f => (a -> f b) -> ViewR a -> f (ViewR b)

sequenceA :: Applicative f => ViewR (f a) -> f (ViewR a)

mapM :: Monad m => (a -> m b) -> ViewR a -> m (ViewR b)

sequence :: Monad m => ViewR (m a) -> m (ViewR a)

Traversable Vector

Defined in Data.Vector

Methods

traverse :: Applicative f => (a -> f b) -> Vector a -> f (Vector b)

sequenceA :: Applicative f => Vector (f a) -> f (Vector a)

mapM :: Monad m => (a -> m b) -> Vector a -> m (Vector b)

sequence :: Monad m => Vector (m a) -> m (Vector a)

Traversable (Either a)

Since: base-4.7.0.0

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => Either a (f a0) -> f (Either a a0)

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

sequence :: Monad m => Either a (m a0) -> m (Either a a0)

Traversable (V1 :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> V1 a -> f (V1 b)

sequenceA :: Applicative f => V1 (f a) -> f (V1 a)

mapM :: Monad m => (a -> m b) -> V1 a -> m (V1 b)

sequence :: Monad m => V1 (m a) -> m (V1 a)

Traversable (U1 :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> U1 a -> f (U1 b)

sequenceA :: Applicative f => U1 (f a) -> f (U1 a)

mapM :: Monad m => (a -> m b) -> U1 a -> m (U1 b)

sequence :: Monad m => U1 (m a) -> m (U1 a)

Traversable (UAddr :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> UAddr a -> f (UAddr b)

sequenceA :: Applicative f => UAddr (f a) -> f (UAddr a)

mapM :: Monad m => (a -> m b) -> UAddr a -> m (UAddr b)

sequence :: Monad m => UAddr (m a) -> m (UAddr a)

Traversable (UChar :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> UChar a -> f (UChar b)

sequenceA :: Applicative f => UChar (f a) -> f (UChar a)

mapM :: Monad m => (a -> m b) -> UChar a -> m (UChar b)

sequence :: Monad m => UChar (m a) -> m (UChar a)

Traversable (UDouble :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> UDouble a -> f (UDouble b)

sequenceA :: Applicative f => UDouble (f a) -> f (UDouble a)

mapM :: Monad m => (a -> m b) -> UDouble a -> m (UDouble b)

sequence :: Monad m => UDouble (m a) -> m (UDouble a)

Traversable (UFloat :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> UFloat a -> f (UFloat b)

sequenceA :: Applicative f => UFloat (f a) -> f (UFloat a)

mapM :: Monad m => (a -> m b) -> UFloat a -> m (UFloat b)

sequence :: Monad m => UFloat (m a) -> m (UFloat a)

Traversable (UInt :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> UInt a -> f (UInt b)

sequenceA :: Applicative f => UInt (f a) -> f (UInt a)

mapM :: Monad m => (a -> m b) -> UInt a -> m (UInt b)

sequence :: Monad m => UInt (m a) -> m (UInt a)

Traversable (UWord :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> UWord a -> f (UWord b)

sequenceA :: Applicative f => UWord (f a) -> f (UWord a)

mapM :: Monad m => (a -> m b) -> UWord a -> m (UWord b)

sequence :: Monad m => UWord (m a) -> m (UWord a)

Traversable ((,) a)

Since: base-4.7.0.0

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => (a, f a0) -> f (a, a0)

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

sequence :: Monad m => (a, m a0) -> m (a, a0)

Ix i => Traversable (Array i)

Since: base-2.1

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> Array i a -> f (Array i b)

sequenceA :: Applicative f => Array i (f a) -> f (Array i a)

mapM :: Monad m => (a -> m b) -> Array i a -> m (Array i b)

sequence :: Monad m => Array i (m a) -> m (Array i a)

Traversable (Arg a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

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

sequenceA :: Applicative f => Arg a (f a0) -> f (Arg a a0)

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

sequence :: Monad m => Arg a (m a0) -> m (Arg a a0)

Traversable (Proxy :: Type -> Type)

Since: base-4.7.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> Proxy a -> f (Proxy b)

sequenceA :: Applicative f => Proxy (f a) -> f (Proxy a)

mapM :: Monad m => (a -> m b) -> Proxy a -> m (Proxy b)

sequence :: Monad m => Proxy (m a) -> m (Proxy a)

Traversable (Map k)

Traverses in order of increasing key.

Defined in Data.Map.Internal

Methods

traverse :: Applicative f => (a -> f b) -> Map k a -> f (Map k b)

sequenceA :: Applicative f => Map k (f a) -> f (Map k a)

mapM :: Monad m => (a -> m b) -> Map k a -> m (Map k b)

sequence :: Monad m => Map k (m a) -> m (Map k a)

Traversable f => Traversable (MaybeT f)

Defined in Control.Monad.Trans.Maybe

Methods

traverse :: Applicative f0 => (a -> f0 b) -> MaybeT f a -> f0 (MaybeT f b)

sequenceA :: Applicative f0 => MaybeT f (f0 a) -> f0 (MaybeT f a)

mapM :: Monad m => (a -> m b) -> MaybeT f a -> m (MaybeT f b)

sequence :: Monad m => MaybeT f (m a) -> m (MaybeT f a)

Traversable f => Traversable (Cofree f)

Defined in Control.Comonad.Cofree

Methods

traverse :: Applicative f0 => (a -> f0 b) -> Cofree f a -> f0 (Cofree f b)

sequenceA :: Applicative f0 => Cofree f (f0 a) -> f0 (Cofree f a)

mapM :: Monad m => (a -> m b) -> Cofree f a -> m (Cofree f b)

sequence :: Monad m => Cofree f (m a) -> m (Cofree f a)

Traversable f => Traversable (Free f)

Defined in Control.Monad.Free

Methods

traverse :: Applicative f0 => (a -> f0 b) -> Free f a -> f0 (Free f b)

sequenceA :: Applicative f0 => Free f (f0 a) -> f0 (Free f a)

mapM :: Monad m => (a -> m b) -> Free f a -> m (Free f b)

sequence :: Monad m => Free f (m a) -> m (Free f a)

Traversable f => Traversable (Yoneda f)

Defined in Data.Functor.Yoneda

Methods

traverse :: Applicative f0 => (a -> f0 b) -> Yoneda f a -> f0 (Yoneda f b)

sequenceA :: Applicative f0 => Yoneda f (f0 a) -> f0 (Yoneda f a)

mapM :: Monad m => (a -> m b) -> Yoneda f a -> m (Yoneda f b)

sequence :: Monad m => Yoneda f (m a) -> m (Yoneda f a)

Traversable (HashMap k)

Defined in Data.HashMap.Internal

Methods

traverse :: Applicative f => (a -> f b) -> HashMap k a -> f (HashMap k b)

sequenceA :: Applicative f => HashMap k (f a) -> f (HashMap k a)

mapM :: Monad m => (a -> m b) -> HashMap k a -> m (HashMap k b)

sequence :: Monad m => HashMap k (m a) -> m (HashMap k a)

Traversable f => Traversable (Rec1 f)

Since: base-4.9.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f0 => (a -> f0 b) -> Rec1 f a -> f0 (Rec1 f b)

sequenceA :: Applicative f0 => Rec1 f (f0 a) -> f0 (Rec1 f a)

mapM :: Monad m => (a -> m b) -> Rec1 f a -> m (Rec1 f b)

sequence :: Monad m => Rec1 f (m a) -> m (Rec1 f a)

Traversable (Const m :: Type -> Type)

Since: base-4.7.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> Const m a -> f (Const m b)

sequenceA :: Applicative f => Const m (f a) -> f (Const m a)

mapM :: Monad m0 => (a -> m0 b) -> Const m a -> m0 (Const m b)

sequence :: Monad m0 => Const m (m0 a) -> m0 (Const m a)

Traversable f => Traversable (Ap f)

Since: base-4.12.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f0 => (a -> f0 b) -> Ap f a -> f0 (Ap f b)

sequenceA :: Applicative f0 => Ap f (f0 a) -> f0 (Ap f a)

mapM :: Monad m => (a -> m b) -> Ap f a -> m (Ap f b)

sequence :: Monad m => Ap f (m a) -> m (Ap f a)

Traversable f => Traversable (Alt f)

Since: base-4.12.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f0 => (a -> f0 b) -> Alt f a -> f0 (Alt f b)

sequenceA :: Applicative f0 => Alt f (f0 a) -> f0 (Alt f a)

mapM :: Monad m => (a -> m b) -> Alt f a -> m (Alt f b)

sequence :: Monad m => Alt f (m a) -> m (Alt f a)

Bitraversable p => Traversable (Join p)

Defined in Data.Bifunctor.Join

Methods

traverse :: Applicative f => (a -> f b) -> Join p a -> f (Join p b)

sequenceA :: Applicative f => Join p (f a) -> f (Join p a)

mapM :: Monad m => (a -> m b) -> Join p a -> m (Join p b)

sequence :: Monad m => Join p (m a) -> m (Join p a)

Bitraversable p => Traversable (Fix p)

Defined in Data.Bifunctor.Fix

Methods

traverse :: Applicative f => (a -> f b) -> Fix p a -> f (Fix p b)

sequenceA :: Applicative f => Fix p (f a) -> f (Fix p a)

mapM :: Monad m => (a -> m b) -> Fix p a -> m (Fix p b)

sequence :: Monad m => Fix p (m a) -> m (Fix p a)

Traversable f => Traversable (IdentityT f)

Defined in Control.Monad.Trans.Identity

Methods

traverse :: Applicative f0 => (a -> f0 b) -> IdentityT f a -> f0 (IdentityT f b)

sequenceA :: Applicative f0 => IdentityT f (f0 a) -> f0 (IdentityT f a)

mapM :: Monad m => (a -> m b) -> IdentityT f a -> m (IdentityT f b)

sequence :: Monad m => IdentityT f (m a) -> m (IdentityT f a)

Traversable f => Traversable (ExceptT e f)

Defined in Control.Monad.Trans.Except

Methods

traverse :: Applicative f0 => (a -> f0 b) -> ExceptT e f a -> f0 (ExceptT e f b)

sequenceA :: Applicative f0 => ExceptT e f (f0 a) -> f0 (ExceptT e f a)

mapM :: Monad m => (a -> m b) -> ExceptT e f a -> m (ExceptT e f b)

sequence :: Monad m => ExceptT e f (m a) -> m (ExceptT e f a)

Traversable f => Traversable (FreeF f a)

Defined in Control.Monad.Trans.Free

Methods

traverse :: Applicative f0 => (a0 -> f0 b) -> FreeF f a a0 -> f0 (FreeF f a b)

sequenceA :: Applicative f0 => FreeF f a (f0 a0) -> f0 (FreeF f a a0)

mapM :: Monad m => (a0 -> m b) -> FreeF f a a0 -> m (FreeF f a b)

sequence :: Monad m => FreeF f a (m a0) -> m (FreeF f a a0)

(Monad m, Traversable m, Traversable f) => Traversable (FreeT f m)

Defined in Control.Monad.Trans.Free

Methods

traverse :: Applicative f0 => (a -> f0 b) -> FreeT f m a -> f0 (FreeT f m b)

sequenceA :: Applicative f0 => FreeT f m (f0 a) -> f0 (FreeT f m a)

mapM :: Monad m0 => (a -> m0 b) -> FreeT f m a -> m0 (FreeT f m b)

sequence :: Monad m0 => FreeT f m (m0 a) -> m0 (FreeT f m a)

Traversable f => Traversable (CofreeF f a)

Defined in Control.Comonad.Trans.Cofree

Methods

traverse :: Applicative f0 => (a0 -> f0 b) -> CofreeF f a a0 -> f0 (CofreeF f a b)

sequenceA :: Applicative f0 => CofreeF f a (f0 a0) -> f0 (CofreeF f a a0)

mapM :: Monad m => (a0 -> m b) -> CofreeF f a a0 -> m (CofreeF f a b)

sequence :: Monad m => CofreeF f a (m a0) -> m (CofreeF f a a0)

(Traversable f, Traversable w) => Traversable (CofreeT f w)

Defined in Control.Comonad.Trans.Cofree

Methods

traverse :: Applicative f0 => (a -> f0 b) -> CofreeT f w a -> f0 (CofreeT f w b)

sequenceA :: Applicative f0 => CofreeT f w (f0 a) -> f0 (CofreeT f w a)

mapM :: Monad m => (a -> m b) -> CofreeT f w a -> m (CofreeT f w b)

sequence :: Monad m => CofreeT f w (m a) -> m (CofreeT f w a)

Traversable f => Traversable (ErrorT e f)

Defined in Control.Monad.Trans.Error

Methods

traverse :: Applicative f0 => (a -> f0 b) -> ErrorT e f a -> f0 (ErrorT e f b)

sequenceA :: Applicative f0 => ErrorT e f (f0 a) -> f0 (ErrorT e f a)

mapM :: Monad m => (a -> m b) -> ErrorT e f a -> m (ErrorT e f b)

sequence :: Monad m => ErrorT e f (m a) -> m (ErrorT e f a)

Traversable (Tagged s)

Defined in Data.Tagged

Methods

traverse :: Applicative f => (a -> f b) -> Tagged s a -> f (Tagged s b)

sequenceA :: Applicative f => Tagged s (f a) -> f (Tagged s a)

mapM :: Monad m => (a -> m b) -> Tagged s a -> m (Tagged s b)

sequence :: Monad m => Tagged s (m a) -> m (Tagged s a)

Traversable (K1 i c :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> K1 i c a -> f (K1 i c b)

sequenceA :: Applicative f => K1 i c (f a) -> f (K1 i c a)

mapM :: Monad m => (a -> m b) -> K1 i c a -> m (K1 i c b)

sequence :: Monad m => K1 i c (m a) -> m (K1 i c a)

(Traversable f, Traversable g) => Traversable (f :+: g)

Since: base-4.9.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f0 => (a -> f0 b) -> (f :+: g) a -> f0 ((f :+: g) b)

sequenceA :: Applicative f0 => (f :+: g) (f0 a) -> f0 ((f :+: g) a)

mapM :: Monad m => (a -> m b) -> (f :+: g) a -> m ((f :+: g) b)

sequence :: Monad m => (f :+: g) (m a) -> m ((f :+: g) a)

(Traversable f, Traversable g) => Traversable (f :*: g)

Since: base-4.9.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f0 => (a -> f0 b) -> (f :*: g) a -> f0 ((f :*: g) b)

sequenceA :: Applicative f0 => (f :*: g) (f0 a) -> f0 ((f :*: g) a)

mapM :: Monad m => (a -> m b) -> (f :*: g) a -> m ((f :*: g) b)

sequence :: Monad m => (f :*: g) (m a) -> m ((f :*: g) a)

Traversable f => Traversable (M1 i c f)

Since: base-4.9.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f0 => (a -> f0 b) -> M1 i c f a -> f0 (M1 i c f b)

sequenceA :: Applicative f0 => M1 i c f (f0 a) -> f0 (M1 i c f a)

mapM :: Monad m => (a -> m b) -> M1 i c f a -> m (M1 i c f b)

sequence :: Monad m => M1 i c f (m a) -> m (M1 i c f a)

(Traversable f, Traversable g) => Traversable (f :.: g)

Since: base-4.9.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f0 => (a -> f0 b) -> (f :.: g) a -> f0 ((f :.: g) b)

sequenceA :: Applicative f0 => (f :.: g) (f0 a) -> f0 ((f :.: g) a)

mapM :: Monad m => (a -> m b) -> (f :.: g) a -> m ((f :.: g) b)

sequence :: Monad m => (f :.: g) (m a) -> m ((f :.: g) a)

(Traversable f, Traversable g) => Traversable (Compose f g)

Since: base-4.9.0.0

Defined in Data.Functor.Compose

Methods

traverse :: Applicative f0 => (a -> f0 b) -> Compose f g a -> f0 (Compose f g b)

sequenceA :: Applicative f0 => Compose f g (f0 a) -> f0 (Compose f g a)

mapM :: Monad m => (a -> m b) -> Compose f g a -> m (Compose f g b)

sequence :: Monad m => Compose f g (m a) -> m (Compose f g a)

Bitraversable p => Traversable (WrappedBifunctor p a)

Defined in Data.Bifunctor.Wrapped

Methods

traverse :: Applicative f => (a0 -> f b) -> WrappedBifunctor p a a0 -> f (WrappedBifunctor p a b)

sequenceA :: Applicative f => WrappedBifunctor p a (f a0) -> f (WrappedBifunctor p a a0)

mapM :: Monad m => (a0 -> m b) -> WrappedBifunctor p a a0 -> m (WrappedBifunctor p a b)

sequence :: Monad m => WrappedBifunctor p a (m a0) -> m (WrappedBifunctor p a a0)

Traversable g => Traversable (Joker g a)

Defined in Data.Bifunctor.Joker

Methods

traverse :: Applicative f => (a0 -> f b) -> Joker g a a0 -> f (Joker g a b)

sequenceA :: Applicative f => Joker g a (f a0) -> f (Joker g a a0)

mapM :: Monad m => (a0 -> m b) -> Joker g a a0 -> m (Joker g a b)

sequence :: Monad m => Joker g a (m a0) -> m (Joker g a a0)

Bitraversable p => Traversable (Flip p a)

Defined in Data.Bifunctor.Flip

Methods

traverse :: Applicative f => (a0 -> f b) -> Flip p a a0 -> f (Flip p a b)

sequenceA :: Applicative f => Flip p a (f a0) -> f (Flip p a a0)

mapM :: Monad m => (a0 -> m b) -> Flip p a a0 -> m (Flip p a b)

sequence :: Monad m => Flip p a (m a0) -> m (Flip p a a0)

Traversable (Clown f a :: Type -> Type)

Defined in Data.Bifunctor.Clown

Methods

traverse :: Applicative f0 => (a0 -> f0 b) -> Clown f a a0 -> f0 (Clown f a b)

sequenceA :: Applicative f0 => Clown f a (f0 a0) -> f0 (Clown f a a0)

mapM :: Monad m => (a0 -> m b) -> Clown f a a0 -> m (Clown f a b)

sequence :: Monad m => Clown f a (m a0) -> m (Clown f a a0)

(Traversable f, Bitraversable p) => Traversable (Tannen f p a)

Defined in Data.Bifunctor.Tannen

Methods

traverse :: Applicative f0 => (a0 -> f0 b) -> Tannen f p a a0 -> f0 (Tannen f p a b)

sequenceA :: Applicative f0 => Tannen f p a (f0 a0) -> f0 (Tannen f p a a0)

mapM :: Monad m => (a0 -> m b) -> Tannen f p a a0 -> m (Tannen f p a b)

sequence :: Monad m => Tannen f p a (m a0) -> m (Tannen f p a a0)

(Bitraversable p, Traversable g) => Traversable (Biff p f g a)

Defined in Data.Bifunctor.Biff

Methods

traverse :: Applicative f0 => (a0 -> f0 b) -> Biff p f g a a0 -> f0 (Biff p f g a b)

sequenceA :: Applicative f0 => Biff p f g a (f0 a0) -> f0 (Biff p f g a a0)

mapM :: Monad m => (a0 -> m b) -> Biff p f g a a0 -> m (Biff p f g a b)

sequence :: Monad m => Biff p f g a (m a0) -> m (Biff p f g a a0)

class Generic a

Representable types of kind *. This class is derivable in GHC with the DeriveGeneric flag on.

A Generic instance must satisfy the following laws:

from . to ≡ id
to . from ≡ id

Minimal complete definition

from, to

Instances

Generic Bool

Since: base-4.6.0.0

Defined in GHC.Generics

Associated Types

type Rep Bool :: Type -> Type

Methods

from :: Bool -> Rep Bool x

to :: Rep Bool x -> Bool

Generic Ordering

Since: base-4.6.0.0

Defined in GHC.Generics

Associated Types

type Rep Ordering :: Type -> Type

Methods

from :: Ordering -> Rep Ordering x

to :: Rep Ordering x -> Ordering

Generic ()

Since: base-4.6.0.0

Defined in GHC.Generics

Associated Types

type Rep () :: Type -> Type

Methods

from :: () -> Rep () x

to :: Rep () x -> ()

Generic Void

Since: base-4.8.0.0

Defined in Data.Void

Associated Types

type Rep Void :: Type -> Type

Methods

from :: Void -> Rep Void x

to :: Rep Void x -> Void

Generic Version

Since: base-4.9.0.0

Defined in Data.Version

Associated Types

type Rep Version :: Type -> Type

Methods

from :: Version -> Rep Version x

to :: Rep Version x -> Version

Generic ExitCode

Defined in GHC.IO.Exception

Associated Types

type Rep ExitCode :: Type -> Type

Methods

from :: ExitCode -> Rep ExitCode x

to :: Rep ExitCode x -> ExitCode

Generic All

Since: base-4.7.0.0

Defined in Data.Semigroup.Internal

Associated Types

type Rep All :: Type -> Type

Methods

from :: All -> Rep All x

to :: Rep All x -> All

Generic Any

Since: base-4.7.0.0

Defined in Data.Semigroup.Internal

Associated Types

type Rep Any :: Type -> Type

Methods

from :: Any -> Rep Any x

to :: Rep Any x -> Any

Generic Fixity

Since: base-4.7.0.0

Defined in GHC.Generics

Associated Types

type Rep Fixity :: Type -> Type

Methods

from :: Fixity -> Rep Fixity x

to :: Rep Fixity x -> Fixity

Generic Associativity

Since: base-4.7.0.0

Defined in GHC.Generics

Associated Types

type Rep Associativity :: Type -> Type

Methods

from :: Associativity -> Rep Associativity x

to :: Rep Associativity x -> Associativity

Generic SourceUnpackedness

Since: base-4.9.0.0

Defined in GHC.Generics

Associated Types

type Rep SourceUnpackedness :: Type -> Type

Methods

from :: SourceUnpackedness -> Rep SourceUnpackedness x

to :: Rep SourceUnpackedness x -> SourceUnpackedness

Generic SourceStrictness

Since: base-4.9.0.0

Defined in GHC.Generics

Associated Types

type Rep SourceStrictness :: Type -> Type

Methods

from :: SourceStrictness -> Rep SourceStrictness x

to :: Rep SourceStrictness x -> SourceStrictness

Generic DecidedStrictness

Since: base-4.9.0.0

Defined in GHC.Generics

Associated Types

type Rep DecidedStrictness :: Type -> Type

Methods

from :: DecidedStrictness -> Rep DecidedStrictness x

to :: Rep DecidedStrictness x -> DecidedStrictness

Generic Doc

Defined in Text.PrettyPrint.HughesPJ

Associated Types

type Rep Doc :: Type -> Type

Methods

from :: Doc -> Rep Doc x

to :: Rep Doc x -> Doc

Generic TextDetails

Defined in Text.PrettyPrint.Annotated.HughesPJ

Associated Types

type Rep TextDetails :: Type -> Type

Methods

from :: TextDetails -> Rep TextDetails x

to :: Rep TextDetails x -> TextDetails

Generic Style

Defined in Text.PrettyPrint.Annotated.HughesPJ

Associated Types

type Rep Style :: Type -> Type

Methods

from :: Style -> Rep Style x

to :: Rep Style x -> Style

Generic Mode

Defined in Text.PrettyPrint.Annotated.HughesPJ

Associated Types

type Rep Mode :: Type -> Type

Methods

from :: Mode -> Rep Mode x

to :: Rep Mode x -> Mode

Generic DatatypeInfo

Defined in Language.Haskell.TH.Datatype

Associated Types

type Rep DatatypeInfo :: Type -> Type

Methods

from :: DatatypeInfo -> Rep DatatypeInfo x

to :: Rep DatatypeInfo x -> DatatypeInfo

Generic DatatypeVariant

Defined in Language.Haskell.TH.Datatype

Associated Types

type Rep DatatypeVariant :: Type -> Type

Methods

from :: DatatypeVariant -> Rep DatatypeVariant x

to :: Rep DatatypeVariant x -> DatatypeVariant

Generic ConstructorInfo

Defined in Language.Haskell.TH.Datatype

Associated Types

type Rep ConstructorInfo :: Type -> Type

Methods

from :: ConstructorInfo -> Rep ConstructorInfo x

to :: Rep ConstructorInfo x -> ConstructorInfo

Generic ConstructorVariant

Defined in Language.Haskell.TH.Datatype

Associated Types

type Rep ConstructorVariant :: Type -> Type

Methods

from :: ConstructorVariant -> Rep ConstructorVariant x

to :: Rep ConstructorVariant x -> ConstructorVariant

Generic FieldStrictness

Defined in Language.Haskell.TH.Datatype

Associated Types

type Rep FieldStrictness :: Type -> Type

Methods

from :: FieldStrictness -> Rep FieldStrictness x

to :: Rep FieldStrictness x -> FieldStrictness

Generic Unpackedness

Defined in Language.Haskell.TH.Datatype

Associated Types

type Rep Unpackedness :: Type -> Type

Methods

from :: Unpackedness -> Rep Unpackedness x

to :: Rep Unpackedness x -> Unpackedness

Generic Strictness

Defined in Language.Haskell.TH.Datatype

Associated Types

type Rep Strictness :: Type -> Type

Methods

from :: Strictness -> Rep Strictness x

to :: Rep Strictness x -> Strictness

Generic Specificity

Defined in Language.Haskell.TH.Datatype.TyVarBndr

Associated Types

type Rep Specificity :: Type -> Type

Methods

from :: Specificity -> Rep Specificity x

to :: Rep Specificity x -> Specificity

Generic Undefined

Defined in Universum.Debug

Associated Types

type Rep Undefined :: Type -> Type

Methods

from :: Undefined -> Rep Undefined x

to :: Rep Undefined x -> Undefined

Generic [a]

Since: base-4.6.0.0

Defined in GHC.Generics

Associated Types

type Rep [a] :: Type -> Type

Methods

from :: [a] -> Rep [a] x

to :: Rep [a] x -> [a]

Generic (Maybe a)

Since: base-4.6.0.0

Defined in GHC.Generics

Associated Types

type Rep (Maybe a) :: Type -> Type

Methods

from :: Maybe a -> Rep (Maybe a) x

to :: Rep (Maybe a) x -> Maybe a

Generic (Par1 p)

Since: base-4.7.0.0

Defined in GHC.Generics

Associated Types

type Rep (Par1 p) :: Type -> Type

Methods

from :: Par1 p -> Rep (Par1 p) x

to :: Rep (Par1 p) x -> Par1 p

Generic (Min a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Associated Types

type Rep (Min a) :: Type -> Type

Methods

from :: Min a -> Rep (Min a) x

to :: Rep (Min a) x -> Min a

Generic (Max a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Associated Types

type Rep (Max a) :: Type -> Type

Methods

from :: Max a -> Rep (Max a) x

to :: Rep (Max a) x -> Max a

Generic (First a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Associated Types

type Rep (First a) :: Type -> Type

Methods

from :: First a -> Rep (First a) x

to :: Rep (First a) x -> First a

Generic (Last a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Associated Types

type Rep (Last a) :: Type -> Type

Methods

from :: Last a -> Rep (Last a) x

to :: Rep (Last a) x -> Last a

Generic (WrappedMonoid m)

Since: base-4.9.0.0

Defined in Data.Semigroup

Associated Types

type Rep (WrappedMonoid m) :: Type -> Type

Methods

from :: WrappedMonoid m -> Rep (WrappedMonoid m) x

to :: Rep (WrappedMonoid m) x -> WrappedMonoid m

Generic (Option a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Associated Types

type Rep (Option a) :: Type -> Type

Methods

from :: Option a -> Rep (Option a) x

to :: Rep (Option a) x -> Option a

Generic (ZipList a)

Since: base-4.7.0.0

Defined in Control.Applicative

Associated Types

type Rep (ZipList a) :: Type -> Type

Methods

from :: ZipList a -> Rep (ZipList a) x

to :: Rep (ZipList a) x -> ZipList a

Generic (Identity a)

Since: base-4.8.0.0

Defined in Data.Functor.Identity

Associated Types

type Rep (Identity a) :: Type -> Type

Methods

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

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

Generic (First a)

Since: base-4.7.0.0

Defined in Data.Monoid

Associated Types

type Rep (First a) :: Type -> Type

Methods

from :: First a -> Rep (First a) x

to :: Rep (First a) x -> First a

Generic (Last a)

Since: base-4.7.0.0

Defined in Data.Monoid

Associated Types

type Rep (Last a) :: Type -> Type

Methods

from :: Last a -> Rep (Last a) x

to :: Rep (Last a) x -> Last a

Generic (Dual a)

Since: base-4.7.0.0

Defined in Data.Semigroup.Internal

Associated Types

type Rep (Dual a) :: Type -> Type

Methods

from :: Dual a -> Rep (Dual a) x

to :: Rep (Dual a) x -> Dual a

Generic (Endo a)

Since: base-4.7.0.0

Defined in Data.Semigroup.Internal

Associated Types

type Rep (Endo a) :: Type -> Type

Methods

from :: Endo a -> Rep (Endo a) x

to :: Rep (Endo a) x -> Endo a

Generic (Sum a)

Since: base-4.7.0.0

Defined in Data.Semigroup.Internal

Associated Types

type Rep (Sum a) :: Type -> Type

Methods

from :: Sum a -> Rep (Sum a) x

to :: Rep (Sum a) x -> Sum a

Generic (Product a)

Since: base-4.7.0.0

Defined in Data.Semigroup.Internal

Associated Types

type Rep (Product a) :: Type -> Type

Methods

from :: Product a -> Rep (Product a) x

to :: Rep (Product a) x -> Product a

Generic (Down a)

Since: base-4.12.0.0

Defined in GHC.Generics

Associated Types

type Rep (Down a) :: Type -> Type

Methods

from :: Down a -> Rep (Down a) x

to :: Rep (Down a) x -> Down a

Generic (NonEmpty a)

Since: base-4.6.0.0

Defined in GHC.Generics

Associated Types

type Rep (NonEmpty a) :: Type -> Type

Methods

from :: NonEmpty a -> Rep (NonEmpty a) x

to :: Rep (NonEmpty a) x -> NonEmpty a

Generic (FingerTree a)

Since: containers-0.6.1

Defined in Data.Sequence.Internal

Associated Types

type Rep (FingerTree a) :: Type -> Type

Methods

from :: FingerTree a -> Rep (FingerTree a) x

to :: Rep (FingerTree a) x -> FingerTree a

Generic (Digit a)

Since: containers-0.6.1

Defined in Data.Sequence.Internal

Associated Types

type Rep (Digit a) :: Type -> Type

Methods

from :: Digit a -> Rep (Digit a) x

to :: Rep (Digit a) x -> Digit a

Generic (Node a)

Since: containers-0.6.1

Defined in Data.Sequence.Internal

Associated Types

type Rep (Node a) :: Type -> Type

Methods

from :: Node a -> Rep (Node a) x

to :: Rep (Node a) x -> Node a

Generic (Elem a)

Since: containers-0.6.1

Defined in Data.Sequence.Internal

Associated Types

type Rep (Elem a) :: Type -> Type

Methods

from :: Elem a -> Rep (Elem a) x

to :: Rep (Elem a) x -> Elem a

Generic (ViewL a)

Since: containers-0.5.8

Defined in Data.Sequence.Internal

Associated Types

type Rep (ViewL a) :: Type -> Type

Methods

from :: ViewL a -> Rep (ViewL a) x

to :: Rep (ViewL a) x -> ViewL a

Generic (ViewR a)

Since: containers-0.5.8

Defined in Data.Sequence.Internal

Associated Types

type Rep (ViewR a) :: Type -> Type

Methods

from :: ViewR a -> Rep (ViewR a) x

to :: Rep (ViewR a) x -> ViewR a

Generic (Doc a)

Defined in Text.PrettyPrint.Annotated.HughesPJ

Associated Types

type Rep (Doc a) :: Type -> Type

Methods

from :: Doc a -> Rep (Doc a) x

to :: Rep (Doc a) x -> Doc a

Generic (Either a b)

Since: base-4.6.0.0

Defined in GHC.Generics

Associated Types

type Rep (Either a b) :: Type -> Type

Methods

from :: Either a b -> Rep (Either a b) x

to :: Rep (Either a b) x -> Either a b

Generic (V1 p)

Since: base-4.9.0.0

Defined in GHC.Generics

Associated Types

type Rep (V1 p) :: Type -> Type

Methods

from :: V1 p -> Rep (V1 p) x

to :: Rep (V1 p) x -> V1 p

Generic (U1 p)

Since: base-4.7.0.0

Defined in GHC.Generics

Associated Types

type Rep (U1 p) :: Type -> Type

Methods

from :: U1 p -> Rep (U1 p) x

to :: Rep (U1 p) x -> U1 p

Generic (a, b)

Since: base-4.6.0.0

Defined in GHC.Generics

Associated Types

type Rep (a, b) :: Type -> Type

Methods

from :: (a, b) -> Rep (a, b) x

to :: Rep (a, b) x -> (a, b)

Generic (Arg a b)

Since: base-4.9.0.0

Defined in Data.Semigroup

Associated Types

type Rep (Arg a b) :: Type -> Type

Methods

from :: Arg a b -> Rep (Arg a b) x

to :: Rep (Arg a b) x -> Arg a b

Generic (WrappedMonad m a)

Since: base-4.7.0.0

Defined in Control.Applicative

Associated Types

type Rep (WrappedMonad m a) :: Type -> Type

Methods

from :: WrappedMonad m a -> Rep (WrappedMonad m a) x

to :: Rep (WrappedMonad m a) x -> WrappedMonad m a

Generic (Proxy t)

Since: base-4.6.0.0

Defined in GHC.Generics

Associated Types

type Rep (Proxy t) :: Type -> Type

Methods

from :: Proxy t -> Rep (Proxy t) x

to :: Rep (Proxy t) x -> Proxy t

Generic (Cofree f a)

Defined in Control.Comonad.Cofree

Associated Types

type Rep (Cofree f a) :: Type -> Type

Methods

from :: Cofree f a -> Rep (Cofree f a) x

to :: Rep (Cofree f a) x -> Cofree f a

Generic (Free f a)

Defined in Control.Monad.Free

Associated Types

type Rep (Free f a) :: Type -> Type

Methods

from :: Free f a -> Rep (Free f a) x

to :: Rep (Free f a) x -> Free f a

Generic (Rec1 f p)

Since: base-4.7.0.0

Defined in GHC.Generics

Associated Types

type Rep (Rec1 f p) :: Type -> Type

Methods

from :: Rec1 f p -> Rep (Rec1 f p) x

to :: Rep (Rec1 f p) x -> Rec1 f p

Generic (URec (Ptr ()) p)

Since: base-4.9.0.0

Defined in GHC.Generics

Associated Types

type Rep (URec (Ptr ()) p) :: Type -> Type

Methods

from :: URec (Ptr ()) p -> Rep (URec (Ptr ()) p) x

to :: Rep (URec (Ptr ()) p) x -> URec (Ptr ()) p

Generic (URec Char p)

Since: base-4.9.0.0

Defined in GHC.Generics

Associated Types

type Rep (URec Char p) :: Type -> Type

Methods

from :: URec Char p -> Rep (URec Char p) x

to :: Rep (URec Char p) x -> URec Char p

Generic (URec Double p)

Since: base-4.9.0.0

Defined in GHC.Generics

Associated Types

type Rep (URec Double p) :: Type -> Type

Methods

from :: URec Double p -> Rep (URec Double p) x

to :: Rep (URec Double p) x -> URec Double p

Generic (URec Float p)

Defined in GHC.Generics

Associated Types

type Rep (URec Float p) :: Type -> Type

Methods

from :: URec Float p -> Rep (URec Float p) x

to :: Rep (URec Float p) x -> URec Float p

Generic (URec Int p)

Since: base-4.9.0.0

Defined in GHC.Generics

Associated Types

type Rep (URec Int p) :: Type -> Type

Methods

from :: URec Int p -> Rep (URec Int p) x

to :: Rep (URec Int p) x -> URec Int p

Generic (URec Word p)

Since: base-4.9.0.0

Defined in GHC.Generics

Associated Types

type Rep (URec Word p) :: Type -> Type

Methods

from :: URec Word p -> Rep (URec Word p) x

to :: Rep (URec Word p) x -> URec Word p

Generic (a, b, c)

Since: base-4.6.0.0

Defined in GHC.Generics

Associated Types

type Rep (a, b, c) :: Type -> Type

Methods

from :: (a, b, c) -> Rep (a, b, c) x

to :: Rep (a, b, c) x -> (a, b, c)

Generic (WrappedArrow a b c)

Since: base-4.7.0.0

Defined in Control.Applicative

Associated Types

type Rep (WrappedArrow a b c) :: Type -> Type

Methods

from :: WrappedArrow a b c -> Rep (WrappedArrow a b c) x

to :: Rep (WrappedArrow a b c) x -> WrappedArrow a b c

Generic (Kleisli m a b)

Since: base-4.14.0.0

Defined in Control.Arrow

Associated Types

type Rep (Kleisli m a b) :: Type -> Type

Methods

from :: Kleisli m a b -> Rep (Kleisli m a b) x

to :: Rep (Kleisli m a b) x -> Kleisli m a b

Generic (Const a b)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Associated Types

type Rep (Const a b) :: Type -> Type

Methods

from :: Const a b -> Rep (Const a b) x

to :: Rep (Const a b) x -> Const a b

Generic (Ap f a)

Since: base-4.12.0.0

Defined in Data.Monoid

Associated Types

type Rep (Ap f a) :: Type -> Type

Methods

from :: Ap f a -> Rep (Ap f a) x

to :: Rep (Ap f a) x -> Ap f a

Generic (Alt f a)

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Associated Types

type Rep (Alt f a) :: Type -> Type

Methods

from :: Alt f a -> Rep (Alt f a) x

to :: Rep (Alt f a) x -> Alt f a

Generic (Join p a)

Defined in Data.Bifunctor.Join

Associated Types

type Rep (Join p a) :: Type -> Type

Methods

from :: Join p a -> Rep (Join p a) x

to :: Rep (Join p a) x -> Join p a

Generic (Fix p a)

Defined in Data.Bifunctor.Fix

Associated Types

type Rep (Fix p a) :: Type -> Type

Methods

from :: Fix p a -> Rep (Fix p a) x

to :: Rep (Fix p a) x -> Fix p a

Generic (FreeF f a b)

Defined in Control.Monad.Trans.Free

Associated Types

type Rep (FreeF f a b) :: Type -> Type

Methods

from :: FreeF f a b -> Rep (FreeF f a b) x

to :: Rep (FreeF f a b) x -> FreeF f a b

Generic (CofreeF f a b)

Defined in Control.Comonad.Trans.Cofree

Associated Types

type Rep (CofreeF f a b) :: Type -> Type

Methods

from :: CofreeF f a b -> Rep (CofreeF f a b) x

to :: Rep (CofreeF f a b) x -> CofreeF f a b

Generic (Tagged s b)

Defined in Data.Tagged

Associated Types

type Rep (Tagged s b) :: Type -> Type

Methods

from :: Tagged s b -> Rep (Tagged s b) x

to :: Rep (Tagged s b) x -> Tagged s b

Generic (K1 i c p)

Since: base-4.7.0.0

Defined in GHC.Generics

Associated Types

type Rep (K1 i c p) :: Type -> Type

Methods

from :: K1 i c p -> Rep (K1 i c p) x

to :: Rep (K1 i c p) x -> K1 i c p

Generic ((f :+: g) p)

Since: base-4.7.0.0

Defined in GHC.Generics

Associated Types

type Rep ((f :+: g) p) :: Type -> Type

Methods

from :: (f :+: g) p -> Rep ((f :+: g) p) x

to :: Rep ((f :+: g) p) x -> (f :+: g) p

Generic ((f :*: g) p)

Since: base-4.7.0.0

Defined in GHC.Generics

Associated Types

type Rep ((f :*: g) p) :: Type -> Type

Methods

from :: (f :*: g) p -> Rep ((f :*: g) p) x

to :: Rep ((f :*: g) p) x -> (f :*: g) p

Generic (a, b, c, d)

Since: base-4.6.0.0

Defined in GHC.Generics

Associated Types

type Rep (a, b, c, d) :: Type -> Type

Methods

from :: (a, b, c, d) -> Rep (a, b, c, d) x

to :: Rep (a, b, c, d) x -> (a, b, c, d)

Generic (M1 i c f p)

Since: base-4.7.0.0

Defined in GHC.Generics

Associated Types

type Rep (M1 i c f p) :: Type -> Type

Methods

from :: M1 i c f p -> Rep (M1 i c f p) x

to :: Rep (M1 i c f p) x -> M1 i c f p

Generic ((f :.: g) p)

Since: base-4.7.0.0

Defined in GHC.Generics

Associated Types

type Rep ((f :.: g) p) :: Type -> Type

Methods

from :: (f :.: g) p -> Rep ((f :.: g) p) x

to :: Rep ((f :.: g) p) x -> (f :.: g) p

Generic (a, b, c, d, e)

Since: base-4.6.0.0

Defined in GHC.Generics

Associated Types

type Rep (a, b, c, d, e) :: Type -> Type

Methods

from :: (a, b, c, d, e) -> Rep (a, b, c, d, e) x

to :: Rep (a, b, c, d, e) x -> (a, b, c, d, e)

Generic (Compose f g a)

Since: base-4.9.0.0

Defined in Data.Functor.Compose

Associated Types

type Rep (Compose f g a) :: Type -> Type

Methods

from :: Compose f g a -> Rep (Compose f g a) x

to :: Rep (Compose f g a) x -> Compose f g a

Generic (WrappedBifunctor p a b)

Defined in Data.Bifunctor.Wrapped

Associated Types

type Rep (WrappedBifunctor p a b) :: Type -> Type

Methods

from :: WrappedBifunctor p a b -> Rep (WrappedBifunctor p a b) x

to :: Rep (WrappedBifunctor p a b) x -> WrappedBifunctor p a b

Generic (Joker g a b)

Defined in Data.Bifunctor.Joker

Associated Types

type Rep (Joker g a b) :: Type -> Type

Methods

from :: Joker g a b -> Rep (Joker g a b) x

to :: Rep (Joker g a b) x -> Joker g a b

Generic (Flip p a b)

Defined in Data.Bifunctor.Flip

Associated Types

type Rep (Flip p a b) :: Type -> Type

Methods

from :: Flip p a b -> Rep (Flip p a b) x

to :: Rep (Flip p a b) x -> Flip p a b

Generic (Clown f a b)

Defined in Data.Bifunctor.Clown

Associated Types

type Rep (Clown f a b) :: Type -> Type

Methods

from :: Clown f a b -> Rep (Clown f a b) x

to :: Rep (Clown f a b) x -> Clown f a b

Generic (a, b, c, d, e, f)

Since: base-4.6.0.0

Defined in GHC.Generics

Associated Types

type Rep (a, b, c, d, e, f) :: Type -> Type

Methods

from :: (a, b, c, d, e, f) -> Rep (a, b, c, d, e, f) x

to :: Rep (a, b, c, d, e, f) x -> (a, b, c, d, e, f)

Generic (Sum p q a b)

Defined in Data.Bifunctor.Sum

Associated Types

type Rep (Sum p q a b) :: Type -> Type

Methods

from :: Sum p q a b -> Rep (Sum p q a b) x

to :: Rep (Sum p q a b) x -> Sum p q a b

Generic (Product f g a b)

Defined in Data.Bifunctor.Product

Associated Types

type Rep (Product f g a b) :: Type -> Type

Methods

from :: Product f g a b -> Rep (Product f g a b) x

to :: Rep (Product f g a b) x -> Product f g a b

Generic (a, b, c, d, e, f, g)

Since: base-4.6.0.0

Defined in GHC.Generics

Associated Types

type Rep (a, b, c, d, e, f, g) :: Type -> Type

Methods

from :: (a, b, c, d, e, f, g) -> Rep (a, b, c, d, e, f, g) x

to :: Rep (a, b, c, d, e, f, g) x -> (a, b, c, d, e, f, g)

Generic (Tannen f p a b)

Defined in Data.Bifunctor.Tannen

Associated Types

type Rep (Tannen f p a b) :: Type -> Type

Methods

from :: Tannen f p a b -> Rep (Tannen f p a b) x

to :: Rep (Tannen f p a b) x -> Tannen f p a b

Generic (Biff p f g a b)

Defined in Data.Bifunctor.Biff

Associated Types

type Rep (Biff p f g a b) :: Type -> Type

Methods

from :: Biff p f g a b -> Rep (Biff p f g a b) x

to :: Rep (Biff p f g a b) x -> Biff p f g a b

class KnownNat (n :: Nat)

This class gives the integer associated with a type-level natural. There are instances of the class for every concrete literal: 0, 1, 2, etc.

Since: base-4.7.0.0

Minimal complete definition

natSing

class IsLabel (x :: Symbol) a where

Methods

fromLabel :: a

class Semigroup a where

The class of semigroups (types with an associative binary operation).

Instances should satisfy the following:

Associativity

x <> (y <> z) = (x <> y) <> z

Since: base-4.9.0.0

Minimal complete definition

(<>)

Methods

(<>) :: a -> a -> a infixr 6

An associative operation.

>>> [1,2,3] <> [4,5,6]
[1,2,3,4,5,6]

sconcat :: NonEmpty a -> a

Reduce a non-empty list with <>

The default definition should be sufficient, but this can be overridden for efficiency.

>>> import Data.List.NonEmpty
>>> sconcat $ "Hello" :| [" ", "Haskell", "!"]
"Hello Haskell!"

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

Repeat a value n times.

Given that this works on a Semigroup it is allowed to fail if you request 0 or fewer repetitions, and the default definition will do so.

By making this a member of the class, idempotent semigroups and monoids can upgrade this to execute in \(\mathcal{O}(1)\) by picking stimes = stimesIdempotent or stimes = stimesIdempotentMonoid respectively.

>>> stimes 4 [1]
[1,1,1,1]

Instances

Semigroup Ordering

Since: base-4.9.0.0

Defined in GHC.Base

Methods

(<>) :: Ordering -> Ordering -> Ordering

sconcat :: NonEmpty Ordering -> Ordering

stimes :: Integral b => b -> Ordering -> Ordering

Semigroup ()

Since: base-4.9.0.0

Defined in GHC.Base

Methods

(<>) :: () -> () -> ()

sconcat :: NonEmpty () -> ()

stimes :: Integral b => b -> () -> ()

Semigroup Void

Since: base-4.9.0.0

Defined in Data.Void

Methods

(<>) :: Void -> Void -> Void

sconcat :: NonEmpty Void -> Void

stimes :: Integral b => b -> Void -> Void

Semigroup All

Since: base-4.9.0.0

Defined in Data.Semigroup.Internal

Methods

(<>) :: All -> All -> All

sconcat :: NonEmpty All -> All

stimes :: Integral b => b -> All -> All

Semigroup Any

Since: base-4.9.0.0

Defined in Data.Semigroup.Internal

Methods

(<>) :: Any -> Any -> Any

sconcat :: NonEmpty Any -> Any

stimes :: Integral b => b -> Any -> Any

Semigroup ByteString

Defined in Data.ByteString.Internal

Methods

(<>) :: ByteString -> ByteString -> ByteString

sconcat :: NonEmpty ByteString -> ByteString

stimes :: Integral b => b -> ByteString -> ByteString

Semigroup IntSet

Since: containers-0.5.7

Defined in Data.IntSet.Internal

Methods

(<>) :: IntSet -> IntSet -> IntSet

sconcat :: NonEmpty IntSet -> IntSet

stimes :: Integral b => b -> IntSet -> IntSet

Semigroup Doc

Defined in Text.PrettyPrint.HughesPJ

Methods

(<>) :: Doc -> Doc -> Doc

sconcat :: NonEmpty Doc -> Doc

stimes :: Integral b => b -> Doc -> Doc

Semigroup [a]

Since: base-4.9.0.0

Defined in GHC.Base

Methods

(<>) :: [a] -> [a] -> [a]

sconcat :: NonEmpty [a] -> [a]

stimes :: Integral b => b -> [a] -> [a]

Semigroup a => Semigroup (Maybe a)

Since: base-4.9.0.0

Defined in GHC.Base

Methods

(<>) :: Maybe a -> Maybe a -> Maybe a

sconcat :: NonEmpty (Maybe a) -> Maybe a

stimes :: Integral b => b -> Maybe a -> Maybe a

Semigroup a => Semigroup (IO a)

Since: base-4.10.0.0

Defined in GHC.Base

Methods

(<>) :: IO a -> IO a -> IO a

sconcat :: NonEmpty (IO a) -> IO a

stimes :: Integral b => b -> IO a -> IO a

Semigroup p => Semigroup (Par1 p)

Since: base-4.12.0.0

Defined in GHC.Generics

Methods

(<>) :: Par1 p -> Par1 p -> Par1 p

sconcat :: NonEmpty (Par1 p) -> Par1 p

stimes :: Integral b => b -> Par1 p -> Par1 p

Ord a => Semigroup (Min a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

(<>) :: Min a -> Min a -> Min a

sconcat :: NonEmpty (Min a) -> Min a

stimes :: Integral b => b -> Min a -> Min a

Ord a => Semigroup (Max a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

(<>) :: Max a -> Max a -> Max a

sconcat :: NonEmpty (Max a) -> Max a

stimes :: Integral b => b -> Max a -> Max a

Semigroup (First a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

(<>) :: First a -> First a -> First a

sconcat :: NonEmpty (First a) -> First a

stimes :: Integral b => b -> First a -> First a

Semigroup (Last a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

(<>) :: Last a -> Last a -> Last a

sconcat :: NonEmpty (Last a) -> Last a

stimes :: Integral b => b -> Last a -> Last a

Monoid m => Semigroup (WrappedMonoid m)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

(<>) :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m

sconcat :: NonEmpty (WrappedMonoid m) -> WrappedMonoid m

stimes :: Integral b => b -> WrappedMonoid m -> WrappedMonoid m

Semigroup a => Semigroup (Option a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

(<>) :: Option a -> Option a -> Option a

sconcat :: NonEmpty (Option a) -> Option a

stimes :: Integral b => b -> Option a -> Option a

Semigroup a => Semigroup (Identity a)

Since: base-4.9.0.0

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

Semigroup (First a)

Since: base-4.9.0.0

Defined in Data.Monoid

Methods

(<>) :: First a -> First a -> First a

sconcat :: NonEmpty (First a) -> First a

stimes :: Integral b => b -> First a -> First a

Semigroup (Last a)

Since: base-4.9.0.0

Defined in Data.Monoid

Methods

(<>) :: Last a -> Last a -> Last a

sconcat :: NonEmpty (Last a) -> Last a

stimes :: Integral b => b -> Last a -> Last a

Semigroup a => Semigroup (Dual a)

Since: base-4.9.0.0

Defined in Data.Semigroup.Internal

Methods

(<>) :: Dual a -> Dual a -> Dual a

sconcat :: NonEmpty (Dual a) -> Dual a

stimes :: Integral b => b -> Dual a -> Dual a

Semigroup (Endo a)

Since: base-4.9.0.0

Defined in Data.Semigroup.Internal

Methods

(<>) :: Endo a -> Endo a -> Endo a

sconcat :: NonEmpty (Endo a) -> Endo a

stimes :: Integral b => b -> Endo a -> Endo a

Num a => Semigroup (Sum a)

Since: base-4.9.0.0

Defined in Data.Semigroup.Internal

Methods

(<>) :: Sum a -> Sum a -> Sum a

sconcat :: NonEmpty (Sum a) -> Sum a

stimes :: Integral b => b -> Sum a -> Sum a

Num a => Semigroup (Product a)

Since: base-4.9.0.0

Defined in Data.Semigroup.Internal

Methods

(<>) :: Product a -> Product a -> Product a

sconcat :: NonEmpty (Product a) -> Product a

stimes :: Integral b => b -> Product a -> Product a

Semigroup a => Semigroup (Down a)

Since: base-4.11.0.0

Defined in Data.Ord

Methods

(<>) :: Down a -> Down a -> Down a

sconcat :: NonEmpty (Down a) -> Down a

stimes :: Integral b => b -> Down a -> Down a

Semigroup (NonEmpty a)

Since: base-4.9.0.0

Defined in GHC.Base

Methods

(<>) :: NonEmpty a -> NonEmpty a -> NonEmpty a

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

stimes :: Integral b => b -> NonEmpty a -> NonEmpty a

Semigroup (IntMap a)

Since: containers-0.5.7

Defined in Data.IntMap.Internal

Methods

(<>) :: IntMap a -> IntMap a -> IntMap a

sconcat :: NonEmpty (IntMap a) -> IntMap a

stimes :: Integral b => b -> IntMap a -> IntMap a

Semigroup (Seq a)

Since: containers-0.5.7

Defined in Data.Sequence.Internal

Methods

(<>) :: Seq a -> Seq a -> Seq a

sconcat :: NonEmpty (Seq a) -> Seq a

stimes :: Integral b => b -> Seq a -> Seq a

Ord a => Semigroup (Set a)

Since: containers-0.5.7

Defined in Data.Set.Internal

Methods

(<>) :: Set a -> Set a -> Set a

sconcat :: NonEmpty (Set a) -> Set a

stimes :: Integral b => b -> Set a -> Set a

(Hashable a, Eq a) => Semigroup (HashSet a)

<> = union

O(n+m)

To obtain good performance, the smaller set must be presented as the first argument.

Examples

>>> fromList [1,2] <> fromList [2,3]
fromList [1,2,3]

Defined in Data.HashSet.Internal

Methods

(<>) :: HashSet a -> HashSet a -> HashSet a

sconcat :: NonEmpty (HashSet a) -> HashSet a

stimes :: Integral b => b -> HashSet a -> HashSet a

Semigroup (Vector a)

Defined in Data.Vector

Methods

(<>) :: Vector a -> Vector a -> Vector a

sconcat :: NonEmpty (Vector a) -> Vector a

stimes :: Integral b => b -> Vector a -> Vector a

Semigroup a => Semigroup (May a)

Defined in Lens.Micro.Mtl.Internal

Methods

(<>) :: May a -> May a -> May a

sconcat :: NonEmpty (May a) -> May a

stimes :: Integral b => b -> May a -> May a

Semigroup (Doc a)

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

(<>) :: Doc a -> Doc a -> Doc a

sconcat :: NonEmpty (Doc a) -> Doc a

stimes :: Integral b => b -> Doc a -> Doc a

Semigroup (MergeSet a)

Defined in Data.Set.Internal

Methods

(<>) :: MergeSet a -> MergeSet a -> MergeSet a

sconcat :: NonEmpty (MergeSet a) -> MergeSet a

stimes :: Integral b => b -> MergeSet a -> MergeSet a

Semigroup b => Semigroup (a -> b)

Since: base-4.9.0.0

Defined in GHC.Base

Methods

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

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

stimes :: Integral b0 => b0 -> (a -> b) -> a -> b

Semigroup (Either a b)

Since: base-4.9.0.0

Defined in Data.Either

Methods

(<>) :: Either a b -> Either a b -> Either a b

sconcat :: NonEmpty (Either a b) -> Either a b

stimes :: Integral b0 => b0 -> Either a b -> Either a b

Semigroup (V1 p)

Since: base-4.12.0.0

Defined in GHC.Generics

Methods

(<>) :: V1 p -> V1 p -> V1 p

sconcat :: NonEmpty (V1 p) -> V1 p

stimes :: Integral b => b -> V1 p -> V1 p

Semigroup (U1 p)

Since: base-4.12.0.0

Defined in GHC.Generics

Methods

(<>) :: U1 p -> U1 p -> U1 p

sconcat :: NonEmpty (U1 p) -> U1 p

stimes :: Integral b => b -> U1 p -> U1 p

(Semigroup a, Semigroup b) => Semigroup (a, b)

Since: base-4.9.0.0

Defined in GHC.Base

Methods

(<>) :: (a, b) -> (a, b) -> (a, b)

sconcat :: NonEmpty (a, b) -> (a, b)

stimes :: Integral b0 => b0 -> (a, b) -> (a, b)

Semigroup (Proxy s)

Since: base-4.9.0.0

Defined in Data.Proxy

Methods

(<>) :: Proxy s -> Proxy s -> Proxy s

sconcat :: NonEmpty (Proxy s) -> Proxy s

stimes :: Integral b => b -> Proxy s -> Proxy s

Ord k => Semigroup (Map k v)

Defined in Data.Map.Internal

Methods

(<>) :: Map k v -> Map k v -> Map k v

sconcat :: NonEmpty (Map k v) -> Map k v

stimes :: Integral b => b -> Map k v -> Map k v

(Eq k, Hashable k) => Semigroup (HashMap k v)

<> = union

If a key occurs in both maps, the mapping from the first will be the mapping in the result.

Examples

>>> fromList [(1,'a'),(2,'b')] <> fromList [(2,'c'),(3,'d')]
fromList [(1,'a'),(2,'b'),(3,'d')]

Defined in Data.HashMap.Internal

Methods

(<>) :: HashMap k v -> HashMap k v -> HashMap k v

sconcat :: NonEmpty (HashMap k v) -> HashMap k v

stimes :: Integral b => b -> HashMap k v -> HashMap k v

Semigroup (ReifiedFold s a)

Defined in Control.Lens.Reified

Methods

(<>) :: ReifiedFold s a -> ReifiedFold s a -> ReifiedFold s a

sconcat :: NonEmpty (ReifiedFold s a) -> ReifiedFold s a

stimes :: Integral b => b -> ReifiedFold s a -> ReifiedFold s a

Semigroup (f a) => Semigroup (Indexing f a)

Defined in Control.Lens.Internal.Indexed

Methods

(<>) :: Indexing f a -> Indexing f a -> Indexing f a

sconcat :: NonEmpty (Indexing f a) -> Indexing f a

stimes :: Integral b => b -> Indexing f a -> Indexing f a

Semigroup a => Semigroup (Err e a)

Defined in Lens.Micro.Mtl.Internal

Methods

(<>) :: Err e a -> Err e a -> Err e a

sconcat :: NonEmpty (Err e a) -> Err e a

stimes :: Integral b => b -> Err e a -> Err e a

Semigroup (f p) => Semigroup (Rec1 f p)

Since: base-4.12.0.0

Defined in GHC.Generics

Methods

(<>) :: Rec1 f p -> Rec1 f p -> Rec1 f p

sconcat :: NonEmpty (Rec1 f p) -> Rec1 f p

stimes :: Integral b => b -> Rec1 f p -> Rec1 f p

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

Since: base-4.9.0.0

Defined in GHC.Base

Methods

(<>) :: (a, b, c) -> (a, b, c) -> (a, b, c)

sconcat :: NonEmpty (a, b, c) -> (a, b, c)

stimes :: Integral b0 => b0 -> (a, b, c) -> (a, b, c)

Semigroup a => Semigroup (Const a b)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Methods

(<>) :: Const a b -> Const a b -> Const a b

sconcat :: NonEmpty (Const a b) -> Const a b

stimes :: Integral b0 => b0 -> Const a b -> Const a b

(Applicative f, Semigroup a) => Semigroup (Ap f a)

Since: base-4.12.0.0

Defined in Data.Monoid

Methods

(<>) :: Ap f a -> Ap f a -> Ap f a

sconcat :: NonEmpty (Ap f a) -> Ap f a

stimes :: Integral b => b -> Ap f a -> Ap f a

Alternative f => Semigroup (Alt f a)

Since: base-4.9.0.0

Defined in Data.Semigroup.Internal

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

Semigroup a => Semigroup (Tagged s a)

Defined in Data.Tagged

Methods

(<>) :: Tagged s a -> Tagged s a -> Tagged s a

sconcat :: NonEmpty (Tagged s a) -> Tagged s a

stimes :: Integral b => b -> Tagged s a -> Tagged s a

Semigroup (ReifiedIndexedFold i s a)

Defined in Control.Lens.Reified

Methods

(<>) :: ReifiedIndexedFold i s a -> ReifiedIndexedFold i s a -> ReifiedIndexedFold i s a

sconcat :: NonEmpty (ReifiedIndexedFold i s a) -> ReifiedIndexedFold i s a

stimes :: Integral b => b -> ReifiedIndexedFold i s a -> ReifiedIndexedFold i s a

(Monad m, Semigroup r) => Semigroup (Effect m r a)

Defined in Lens.Micro.Mtl.Internal

Methods

(<>) :: Effect m r a -> Effect m r a -> Effect m r a

sconcat :: NonEmpty (Effect m r a) -> Effect m r a

stimes :: Integral b => b -> Effect m r a -> Effect m r a

Reifies s (ReifiedMonoid a) => Semigroup (ReflectedMonoid a s)

Defined in Data.Reflection

Methods

(<>) :: ReflectedMonoid a s -> ReflectedMonoid a s -> ReflectedMonoid a s

sconcat :: NonEmpty (ReflectedMonoid a s) -> ReflectedMonoid a s

stimes :: Integral b => b -> ReflectedMonoid a s -> ReflectedMonoid a s

Semigroup c => Semigroup (K1 i c p)

Since: base-4.12.0.0

Defined in GHC.Generics

Methods

(<>) :: K1 i c p -> K1 i c p -> K1 i c p

sconcat :: NonEmpty (K1 i c p) -> K1 i c p

stimes :: Integral b => b -> K1 i c p -> K1 i c p

(Semigroup (f p), Semigroup (g p)) => Semigroup ((f :*: g) p)

Since: base-4.12.0.0

Defined in GHC.Generics

Methods

(<>) :: (f :*: g) p -> (f :*: g) p -> (f :*: g) p

sconcat :: NonEmpty ((f :*: g) p) -> (f :*: g) p

stimes :: Integral b => b -> (f :*: g) p -> (f :*: g) p

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

Since: base-4.9.0.0

Defined in GHC.Base

Methods

(<>) :: (a, b, c, d) -> (a, b, c, d) -> (a, b, c, d)

sconcat :: NonEmpty (a, b, c, d) -> (a, b, c, d)

stimes :: Integral b0 => b0 -> (a, b, c, d) -> (a, b, c, d)

Semigroup (f p) => Semigroup (M1 i c f p)

Since: base-4.12.0.0

Defined in GHC.Generics

Methods

(<>) :: M1 i c f p -> M1 i c f p -> M1 i c f p

sconcat :: NonEmpty (M1 i c f p) -> M1 i c f p

stimes :: Integral b => b -> M1 i c f p -> M1 i c f p

Semigroup (f (g p)) => Semigroup ((f :.: g) p)

Since: base-4.12.0.0

Defined in GHC.Generics

Methods

(<>) :: (f :.: g) p -> (f :.: g) p -> (f :.: g) p

sconcat :: NonEmpty ((f :.: g) p) -> (f :.: g) p

stimes :: Integral b => b -> (f :.: g) p -> (f :.: g) p

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

Since: base-4.9.0.0

Defined in GHC.Base

Methods

(<>) :: (a, b, c, d, e) -> (a, b, c, d, e) -> (a, b, c, d, e)

sconcat :: NonEmpty (a, b, c, d, e) -> (a, b, c, d, e)

stimes :: Integral b0 => b0 -> (a, b, c, d, e) -> (a, b, c, d, e)

class Semigroup a => Monoid a where

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

Right identity

x <> mempty = x

Left identity

mempty <> x = x

Associativity

x <> (y <> z) = (x <> y) <> z (Semigroup law)

Concatenation

mconcat = foldr (<>) mempty

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

Methods

mempty :: a

Identity of mappend

>>> "Hello world" <> mempty
"Hello world"

mappend :: a -> a -> a

An associative operation

NOTE: This method is redundant and has the default implementation mappend = (<>) since base-4.11.0.0. Should it be implemented manually, since mappend is a synonym for (<>), it is expected that the two functions are defined the same way. In a future GHC release mappend will be removed from Monoid.

mconcat :: [a] -> a

Fold a list using the monoid.

For most types, the default definition for mconcat will be used, but the function is included in the class definition so that an optimized version can be provided for specific types.

>>> mconcat ["Hello", " ", "Haskell", "!"]
"Hello Haskell!"

Instances

Monoid Ordering

Since: base-2.1

Defined in GHC.Base

Methods

mempty :: Ordering

mappend :: Ordering -> Ordering -> Ordering

mconcat :: [Ordering] -> Ordering

Monoid ()

Since: base-2.1

Defined in GHC.Base

Methods

mempty :: ()

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

mconcat :: [()] -> ()

Monoid All

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

mempty :: All

mappend :: All -> All -> All

mconcat :: [All] -> All

Monoid Any

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

mempty :: Any

mappend :: Any -> Any -> Any

mconcat :: [Any] -> Any

Monoid ByteString

Defined in Data.ByteString.Internal

Methods

mempty :: ByteString

mappend :: ByteString -> ByteString -> ByteString

mconcat :: [ByteString] -> ByteString

Monoid IntSet

Defined in Data.IntSet.Internal

Methods

mempty :: IntSet

mappend :: IntSet -> IntSet -> IntSet

mconcat :: [IntSet] -> IntSet

Monoid Doc

Defined in Text.PrettyPrint.HughesPJ

Methods

mempty :: Doc

mappend :: Doc -> Doc -> Doc

mconcat :: [Doc] -> Doc

Monoid [a]

Since: base-2.1

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

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

Defined in GHC.Base

Methods

mempty :: IO a

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

mconcat :: [IO a] -> IO a

Monoid p => Monoid (Par1 p)

Since: base-4.12.0.0

Defined in GHC.Generics

Methods

mempty :: Par1 p

mappend :: Par1 p -> Par1 p -> Par1 p

mconcat :: [Par1 p] -> Par1 p

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

Since: base-4.9.0.0

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

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

Defined in Data.Semigroup

Methods

mempty :: WrappedMonoid m

mappend :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m

mconcat :: [WrappedMonoid m] -> WrappedMonoid m

Semigroup a => Monoid (Option a)

Since: base-4.9.0.0

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)

Since: base-4.9.0.0

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

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

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

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

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

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

Defined in Data.Semigroup.Internal

Methods

mempty :: Product a

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

mconcat :: [Product a] -> Product a

Monoid a => Monoid (Down a)

Since: base-4.11.0.0

Defined in Data.Ord

Methods

mempty :: Down a

mappend :: Down a -> Down a -> Down a

mconcat :: [Down a] -> Down a

Monoid (IntMap a)

Defined in Data.IntMap.Internal

Methods

mempty :: IntMap a

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

mconcat :: [IntMap a] -> IntMap a

Monoid (Seq a)

Defined in Data.Sequence.Internal

Methods

mempty :: Seq a

mappend :: Seq a -> Seq a -> Seq a

mconcat :: [Seq a] -> Seq a

Ord a => Monoid (Set a)

Defined in Data.Set.Internal

Methods

mempty :: Set a

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

mconcat :: [Set a] -> Set a

(Hashable a, Eq a) => Monoid (HashSet a)

mempty = empty

mappend = union

O(n+m)

To obtain good performance, the smaller set must be presented as the first argument.

Examples

>>> mappend (fromList [1,2]) (fromList [2,3])
fromList [1,2,3]

Defined in Data.HashSet.Internal

Methods

mempty :: HashSet a

mappend :: HashSet a -> HashSet a -> HashSet a

mconcat :: [HashSet a] -> HashSet a

Monoid (Vector a)

Defined in Data.Vector

Methods

mempty :: Vector a

mappend :: Vector a -> Vector a -> Vector a

mconcat :: [Vector a] -> Vector a

Monoid a => Monoid (May a)

Defined in Lens.Micro.Mtl.Internal

Methods

mempty :: May a

mappend :: May a -> May a -> May a

mconcat :: [May a] -> May a

Monoid (Doc a)

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

mempty :: Doc a

mappend :: Doc a -> Doc a -> Doc a

mconcat :: [Doc a] -> Doc a

Monoid (MergeSet a)

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

Defined in GHC.Base

Methods

mempty :: a -> b

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

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

Monoid (U1 p)

Since: base-4.12.0.0

Defined in GHC.Generics

Methods

mempty :: U1 p

mappend :: U1 p -> U1 p -> U1 p

mconcat :: [U1 p] -> U1 p

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

Since: base-2.1

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

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)

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

(Eq k, Hashable k) => Monoid (HashMap k v)

mempty = empty

mappend = union

If a key occurs in both maps, the mapping from the first will be the mapping in the result.

Examples

>>> mappend (fromList [(1,'a'),(2,'b')]) (fromList [(2,'c'),(3,'d')])
fromList [(1,'a'),(2,'b'),(3,'d')]

Defined in Data.HashMap.Internal

Methods

mempty :: HashMap k v

mappend :: HashMap k v -> HashMap k v -> HashMap k v

mconcat :: [HashMap k v] -> HashMap k v

Monoid (ReifiedFold s a)

Defined in Control.Lens.Reified

Methods

mempty :: ReifiedFold s a

mappend :: ReifiedFold s a -> ReifiedFold s a -> ReifiedFold s a

mconcat :: [ReifiedFold s a] -> ReifiedFold s a

Monoid (f a) => Monoid (Indexing f a)

>>> "cat" ^@.. (folded <> folded)
[(0,'c'),(1,'a'),(2,'t'),(0,'c'),(1,'a'),(2,'t')]

>>> "cat" ^@.. indexing (folded <> folded)
[(0,'c'),(1,'a'),(2,'t'),(3,'c'),(4,'a'),(5,'t')]

Defined in Control.Lens.Internal.Indexed

Methods

mempty :: Indexing f a

mappend :: Indexing f a -> Indexing f a -> Indexing f a

mconcat :: [Indexing f a] -> Indexing f a

Monoid a => Monoid (Err e a)

Defined in Lens.Micro.Mtl.Internal

Methods

mempty :: Err e a

mappend :: Err e a -> Err e a -> Err e a

mconcat :: [Err e a] -> Err e a

Monoid (f p) => Monoid (Rec1 f p)

Since: base-4.12.0.0

Defined in GHC.Generics

Methods

mempty :: Rec1 f p

mappend :: Rec1 f p -> Rec1 f p -> Rec1 f p

mconcat :: [Rec1 f p] -> Rec1 f p

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

Since: base-2.1

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)

Since: base-4.9.0.0

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

(Applicative f, Monoid a) => Monoid (Ap f a)

Since: base-4.12.0.0

Defined in Data.Monoid

Methods

mempty :: Ap f a

mappend :: Ap f a -> Ap f a -> Ap f a

mconcat :: [Ap f a] -> Ap f a

Alternative f => Monoid (Alt f a)

Since: base-4.8.0.0

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

(Semigroup a, Monoid a) => Monoid (Tagged s a)

Defined in Data.Tagged

Methods

mempty :: Tagged s a

mappend :: Tagged s a -> Tagged s a -> Tagged s a

mconcat :: [Tagged s a] -> Tagged s a

Monoid (ReifiedIndexedFold i s a)

Defined in Control.Lens.Reified

Methods

mempty :: ReifiedIndexedFold i s a

mappend :: ReifiedIndexedFold i s a -> ReifiedIndexedFold i s a -> ReifiedIndexedFold i s a

mconcat :: [ReifiedIndexedFold i s a] -> ReifiedIndexedFold i s a

(Monad m, Monoid r) => Monoid (Effect m r a)

Defined in Lens.Micro.Mtl.Internal

Methods

mempty :: Effect m r a

mappend :: Effect m r a -> Effect m r a -> Effect m r a

mconcat :: [Effect m r a] -> Effect m r a

Reifies s (ReifiedMonoid a) => Monoid (ReflectedMonoid a s)

Defined in Data.Reflection

Methods

mempty :: ReflectedMonoid a s

mappend :: ReflectedMonoid a s -> ReflectedMonoid a s -> ReflectedMonoid a s

mconcat :: [ReflectedMonoid a s] -> ReflectedMonoid a s

Monoid c => Monoid (K1 i c p)

Since: base-4.12.0.0

Defined in GHC.Generics

Methods

mempty :: K1 i c p

mappend :: K1 i c p -> K1 i c p -> K1 i c p

mconcat :: [K1 i c p] -> K1 i c p

(Monoid (f p), Monoid (g p)) => Monoid ((f :*: g) p)

Since: base-4.12.0.0

Defined in GHC.Generics

Methods

mempty :: (f :*: g) p

mappend :: (f :*: g) p -> (f :*: g) p -> (f :*: g) p

mconcat :: [(f :*: g) p] -> (f :*: g) p

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

Since: base-2.1

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 (f p) => Monoid (M1 i c f p)

Since: base-4.12.0.0

Defined in GHC.Generics

Methods

mempty :: M1 i c f p

mappend :: M1 i c f p -> M1 i c f p -> M1 i c f p

mconcat :: [M1 i c f p] -> M1 i c f p

Monoid (f (g p)) => Monoid ((f :.: g) p)

Since: base-4.12.0.0

Defined in GHC.Generics

Methods

mempty :: (f :.: g) p

mappend :: (f :.: g) p -> (f :.: g) p -> (f :.: g) p

mconcat :: [(f :.: g) p] -> (f :.: g) p

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

Since: base-2.1

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)

data Bool

Constructors

False

True

Instances

Bounded Bool

Since: base-2.1

Defined in GHC.Enum

Methods

minBound :: Bool

maxBound :: Bool

Enum Bool

Since: base-2.1

Defined in GHC.Enum

Methods

succ :: Bool -> Bool

pred :: Bool -> Bool

toEnum :: Int -> Bool

fromEnum :: Bool -> Int

enumFrom :: Bool -> [Bool]

enumFromThen :: Bool -> Bool -> [Bool]

enumFromTo :: Bool -> Bool -> [Bool]

enumFromThenTo :: Bool -> Bool -> Bool -> [Bool]

Eq Bool

Defined in GHC.Classes

Methods

(==) :: Bool -> Bool -> Bool

(/=) :: Bool -> Bool -> Bool

Ord Bool

Defined in GHC.Classes

Methods

compare :: Bool -> Bool -> Ordering

(<) :: Bool -> Bool -> Bool

(<=) :: Bool -> Bool -> Bool

(>) :: Bool -> Bool -> Bool

(>=) :: Bool -> Bool -> Bool

max :: Bool -> Bool -> Bool

min :: Bool -> Bool -> Bool

Read Bool

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Bool

readList :: ReadS [Bool]

readPrec :: ReadPrec Bool

readListPrec :: ReadPrec [Bool]

Show Bool

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> Bool -> ShowS

show :: Bool -> String

showList :: [Bool] -> ShowS

Generic Bool

Since: base-4.6.0.0

Defined in GHC.Generics

Associated Types

type Rep Bool :: Type -> Type

Methods

from :: Bool -> Rep Bool x

to :: Rep Bool x -> Bool

Bits Bool

Interpret Bool as 1-bit bit-field

Since: base-4.7.0.0

Defined in Data.Bits

Methods

(.&.) :: Bool -> Bool -> Bool

(.|.) :: Bool -> Bool -> Bool

xor :: Bool -> Bool -> Bool

complement :: Bool -> Bool

shift :: Bool -> Int -> Bool

rotate :: Bool -> Int -> Bool

zeroBits :: Bool

bit :: Int -> Bool

setBit :: Bool -> Int -> Bool

clearBit :: Bool -> Int -> Bool

complementBit :: Bool -> Int -> Bool

testBit :: Bool -> Int -> Bool

bitSizeMaybe :: Bool -> Maybe Int

bitSize :: Bool -> Int

isSigned :: Bool -> Bool

shiftL :: Bool -> Int -> Bool

unsafeShiftL :: Bool -> Int -> Bool

shiftR :: Bool -> Int -> Bool

unsafeShiftR :: Bool -> Int -> Bool

rotateL :: Bool -> Int -> Bool

rotateR :: Bool -> Int -> Bool

popCount :: Bool -> Int

FiniteBits Bool

Since: base-4.7.0.0

Defined in Data.Bits

Methods

finiteBitSize :: Bool -> Int

countLeadingZeros :: Bool -> Int

countTrailingZeros :: Bool -> Int

NFData Bool

Defined in Control.DeepSeq

Methods

rnf :: Bool -> ()

Hashable Bool

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Bool -> Int

hash :: Bool -> Int

Boolean Bool

Defined in Morley.Prelude.Boolean

Methods

(&&) :: Bool -> Bool -> Bool

(||) :: Bool -> Bool -> Bool

SingKind Bool

Since: base-4.9.0.0

Defined in GHC.Generics

Associated Types

type DemoteRep Bool

Methods

fromSing :: forall (a :: Bool). Sing a -> DemoteRep Bool

SingI 'False

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

sing :: Sing 'False

SingI 'True

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

sing :: Sing 'True

type Rep Bool

Defined in GHC.Generics

type Rep Bool = D1 ('MetaData "Bool" "GHC.Types" "ghc-prim" 'False) (C1 ('MetaCons "False" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "True" 'PrefixI 'False) (U1 :: Type -> Type))

type DemoteRep Bool

Defined in GHC.Generics

type DemoteRep Bool = Bool

data Sing (a :: Bool)

Defined in GHC.Generics

data Sing (a :: Bool) where

• STrue :: Sing 'True
• SFalse :: Sing 'False

data Char

The character type Char is an enumeration whose values represent Unicode (or equivalently ISO/IEC 10646) code points (i.e. characters, see http://www.unicode.org/ for details). This set extends the ISO 8859-1 (Latin-1) character set (the first 256 characters), which is itself an extension of the ASCII character set (the first 128 characters). A character literal in Haskell has type Char.

To convert a Char to or from the corresponding Int value defined by Unicode, use toEnum and fromEnum from the Enum class respectively (or equivalently ord and chr).

Instances

Bounded Char

Since: base-2.1

Defined in GHC.Enum

Methods

minBound :: Char

maxBound :: Char

Enum Char

Since: base-2.1

Defined in GHC.Enum

Methods

succ :: Char -> Char

pred :: Char -> Char

toEnum :: Int -> Char

fromEnum :: Char -> Int

enumFrom :: Char -> [Char]

enumFromThen :: Char -> Char -> [Char]

enumFromTo :: Char -> Char -> [Char]

enumFromThenTo :: Char -> Char -> Char -> [Char]

Eq Char

Defined in GHC.Classes

Methods

(==) :: Char -> Char -> Bool

(/=) :: Char -> Char -> Bool

Ord Char

Defined in GHC.Classes

Methods

compare :: Char -> Char -> Ordering

(<) :: Char -> Char -> Bool

(<=) :: Char -> Char -> Bool

(>) :: Char -> Char -> Bool

(>=) :: Char -> Char -> Bool

max :: Char -> Char -> Char

min :: Char -> Char -> Char

Read Char

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Char

readList :: ReadS [Char]

readPrec :: ReadPrec Char

readListPrec :: ReadPrec [Char]

Show Char

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> Char -> ShowS

show :: Char -> String

showList :: [Char] -> ShowS

NFData Char

Defined in Control.DeepSeq

Methods

rnf :: Char -> ()

Hashable Char

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Char -> Int

hash :: Char -> Int

ErrorList Char

Defined in Control.Monad.Trans.Error

Methods

listMsg :: String -> [Char]

ToText String

Defined in Universum.String.Conversion

Methods

toText :: String -> Text

ToLText String

Defined in Universum.String.Conversion

Methods

toLText :: String -> Text

ToString String

Defined in Universum.String.Conversion

Methods

toString :: String -> String

ConvertUtf8 String ByteString

Defined in Universum.String.Conversion

Methods

encodeUtf8 :: String -> ByteString

decodeUtf8 :: ByteString -> String

decodeUtf8Strict :: ByteString -> Either UnicodeException String

ConvertUtf8 String ByteString

Defined in Universum.String.Conversion

Methods

encodeUtf8 :: String -> ByteString

decodeUtf8 :: ByteString -> String

decodeUtf8Strict :: ByteString -> Either UnicodeException String

KnownSymbol n => Reifies (n :: Symbol) String

Defined in Data.Reflection

Methods

reflect :: proxy n -> String

Generic1 (URec Char :: k -> Type)

Since: base-4.9.0.0

Defined in GHC.Generics

Associated Types

type Rep1 (URec Char) :: k -> Type

Methods

from1 :: forall (a :: k0). URec Char a -> Rep1 (URec Char) a

to1 :: forall (a :: k0). Rep1 (URec Char) a -> URec Char a

Foldable (UChar :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => UChar m -> m

foldMap :: Monoid m => (a -> m) -> UChar a -> m

foldMap' :: Monoid m => (a -> m) -> UChar a -> m

foldr :: (a -> b -> b) -> b -> UChar a -> b

foldr' :: (a -> b -> b) -> b -> UChar a -> b

foldl :: (b -> a -> b) -> b -> UChar a -> b

foldl' :: (b -> a -> b) -> b -> UChar a -> b

foldr1 :: (a -> a -> a) -> UChar a -> a

foldl1 :: (a -> a -> a) -> UChar a -> a

toList :: UChar a -> [a]

null :: UChar a -> Bool

length :: UChar a -> Int

elem :: Eq a => a -> UChar a -> Bool

maximum :: Ord a => UChar a -> a

minimum :: Ord a => UChar a -> a

sum :: Num a => UChar a -> a

product :: Num a => UChar a -> a

Traversable (UChar :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> UChar a -> f (UChar b)

sequenceA :: Applicative f => UChar (f a) -> f (UChar a)

mapM :: Monad m => (a -> m b) -> UChar a -> m (UChar b)

sequence :: Monad m => UChar (m a) -> m (UChar a)

Print [Char]

Defined in Universum.Print.Internal

Methods

hPutStr :: Handle -> [Char] -> IO ()

hPutStrLn :: Handle -> [Char] -> IO ()

Functor (URec Char :: Type -> Type)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Char a -> URec Char b

(<$) :: a -> URec Char b -> URec Char a

Eq (URec Char p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

(==) :: URec Char p -> URec Char p -> Bool

(/=) :: URec Char p -> URec Char p -> Bool

Ord (URec Char p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

compare :: URec Char p -> URec Char p -> Ordering

(<) :: URec Char p -> URec Char p -> Bool

(<=) :: URec Char p -> URec Char p -> Bool

(>) :: URec Char p -> URec Char p -> Bool

(>=) :: URec Char p -> URec Char p -> Bool

max :: URec Char p -> URec Char p -> URec Char p

min :: URec Char p -> URec Char p -> URec Char p

Show (URec Char p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

showsPrec :: Int -> URec Char p -> ShowS

show :: URec Char p -> String

showList :: [URec Char p] -> ShowS

Generic (URec Char p)

Since: base-4.9.0.0

Defined in GHC.Generics

Associated Types

type Rep (URec Char p) :: Type -> Type

Methods

from :: URec Char p -> Rep (URec Char p) x

to :: Rep (URec Char p) x -> URec Char p

data URec Char (p :: k)

Used for marking occurrences of Char#

Since: base-4.9.0.0

Defined in GHC.Generics

data URec Char (p :: k) = UChar {

• uChar# :: Char#

}

type Rep1 (URec Char :: k -> Type)

Defined in GHC.Generics

type Rep1 (URec Char :: k -> Type) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UChar" 'PrefixI 'True) (S1 ('MetaSel ('Just "uChar#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UChar :: k -> Type)))

type Rep (URec Char p)

Defined in GHC.Generics

type Rep (URec Char p) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UChar" 'PrefixI 'True) (S1 ('MetaSel ('Just "uChar#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UChar :: Type -> Type)))

data Double

Double-precision floating point numbers. It is desirable that this type be at least equal in range and precision to the IEEE double-precision type.

Constructors

D# Double#

Instances

Eq Double

Note that due to the presence of NaN, Double's Eq instance does not satisfy reflexivity.

>>> 0/0 == (0/0 :: Double)
False

Also note that Double's Eq instance does not satisfy substitutivity:

>>> 0 == (-0 :: Double)
True
>>> recip 0 == recip (-0 :: Double)
False

Defined in GHC.Classes

Methods

(==) :: Double -> Double -> Bool

(/=) :: Double -> Double -> Bool

Floating Double

Since: base-2.1

Defined in GHC.Float

Methods

pi :: Double

exp :: Double -> Double

log :: Double -> Double

sqrt :: Double -> Double

(**) :: Double -> Double -> Double

logBase :: Double -> Double -> Double

sin :: Double -> Double

cos :: Double -> Double

tan :: Double -> Double

asin :: Double -> Double

acos :: Double -> Double

atan :: Double -> Double

sinh :: Double -> Double

cosh :: Double -> Double

tanh :: Double -> Double

asinh :: Double -> Double

acosh :: Double -> Double

atanh :: Double -> Double

log1p :: Double -> Double

expm1 :: Double -> Double

log1pexp :: Double -> Double

log1mexp :: Double -> Double

Ord Double

Note that due to the presence of NaN, Double's Ord instance does not satisfy reflexivity.

>>> 0/0 <= (0/0 :: Double)
False

Also note that, due to the same, Ord's operator interactions are not respected by Double's instance:

>>> (0/0 :: Double) > 1
False
>>> compare (0/0 :: Double) 1
GT

Defined in GHC.Classes

Methods

compare :: Double -> Double -> Ordering

(<) :: Double -> Double -> Bool

(<=) :: Double -> Double -> Bool

(>) :: Double -> Double -> Bool

(>=) :: Double -> Double -> Bool

max :: Double -> Double -> Double

min :: Double -> Double -> Double

Read Double

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Double

readList :: ReadS [Double]

readPrec :: ReadPrec Double

readListPrec :: ReadPrec [Double]

RealFloat Double

Since: base-2.1

Defined in GHC.Float

Methods

floatRadix :: Double -> Integer

floatDigits :: Double -> Int

floatRange :: Double -> (Int, Int)

decodeFloat :: Double -> (Integer, Int)

encodeFloat :: Integer -> Int -> Double

exponent :: Double -> Int

significand :: Double -> Double

scaleFloat :: Int -> Double -> Double

isNaN :: Double -> Bool

isInfinite :: Double -> Bool

isDenormalized :: Double -> Bool

isNegativeZero :: Double -> Bool

isIEEE :: Double -> Bool

atan2 :: Double -> Double -> Double

NFData Double

Defined in Control.DeepSeq

Methods

rnf :: Double -> ()

Hashable Double

Note: prior to hashable-1.3.0.0, hash 0.0 /= hash (-0.0)

The hash of NaN is not well defined.

Since: hashable-1.3.0.0

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Double -> Int

hash :: Double -> Int

Generic1 (URec Double :: k -> Type)

Since: base-4.9.0.0

Defined in GHC.Generics

Associated Types

type Rep1 (URec Double) :: k -> Type

Methods

from1 :: forall (a :: k0). URec Double a -> Rep1 (URec Double) a

to1 :: forall (a :: k0). Rep1 (URec Double) a -> URec Double a

Foldable (UDouble :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => UDouble m -> m

foldMap :: Monoid m => (a -> m) -> UDouble a -> m

foldMap' :: Monoid m => (a -> m) -> UDouble a -> m

foldr :: (a -> b -> b) -> b -> UDouble a -> b

foldr' :: (a -> b -> b) -> b -> UDouble a -> b

foldl :: (b -> a -> b) -> b -> UDouble a -> b

foldl' :: (b -> a -> b) -> b -> UDouble a -> b

foldr1 :: (a -> a -> a) -> UDouble a -> a

foldl1 :: (a -> a -> a) -> UDouble a -> a

toList :: UDouble a -> [a]

null :: UDouble a -> Bool

length :: UDouble a -> Int

elem :: Eq a => a -> UDouble a -> Bool

maximum :: Ord a => UDouble a -> a

minimum :: Ord a => UDouble a -> a

sum :: Num a => UDouble a -> a

product :: Num a => UDouble a -> a

Traversable (UDouble :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> UDouble a -> f (UDouble b)

sequenceA :: Applicative f => UDouble (f a) -> f (UDouble a)

mapM :: Monad m => (a -> m b) -> UDouble a -> m (UDouble b)

sequence :: Monad m => UDouble (m a) -> m (UDouble a)

Functor (URec Double :: Type -> Type)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Double a -> URec Double b

(<$) :: a -> URec Double b -> URec Double a

Eq (URec Double p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

(==) :: URec Double p -> URec Double p -> Bool

(/=) :: URec Double p -> URec Double p -> Bool

Ord (URec Double p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

compare :: URec Double p -> URec Double p -> Ordering

(<) :: URec Double p -> URec Double p -> Bool

(<=) :: URec Double p -> URec Double p -> Bool

(>) :: URec Double p -> URec Double p -> Bool

(>=) :: URec Double p -> URec Double p -> Bool

max :: URec Double p -> URec Double p -> URec Double p

min :: URec Double p -> URec Double p -> URec Double p

Show (URec Double p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

showsPrec :: Int -> URec Double p -> ShowS

show :: URec Double p -> String

showList :: [URec Double p] -> ShowS

Generic (URec Double p)

Since: base-4.9.0.0

Defined in GHC.Generics

Associated Types

type Rep (URec Double p) :: Type -> Type

Methods

from :: URec Double p -> Rep (URec Double p) x

to :: Rep (URec Double p) x -> URec Double p

data URec Double (p :: k)

Used for marking occurrences of Double#

Since: base-4.9.0.0

Defined in GHC.Generics

data URec Double (p :: k) = UDouble {

• uDouble# :: Double#

}

type Rep1 (URec Double :: k -> Type)

Defined in GHC.Generics

type Rep1 (URec Double :: k -> Type) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UDouble" 'PrefixI 'True) (S1 ('MetaSel ('Just "uDouble#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UDouble :: k -> Type)))

type Rep (URec Double p)

Defined in GHC.Generics

type Rep (URec Double p) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UDouble" 'PrefixI 'True) (S1 ('MetaSel ('Just "uDouble#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UDouble :: Type -> Type)))

data Float

Single-precision floating point numbers. It is desirable that this type be at least equal in range and precision to the IEEE single-precision type.

Constructors

F# Float#

Instances

Eq Float

Note that due to the presence of NaN, Float's Eq instance does not satisfy reflexivity.

>>> 0/0 == (0/0 :: Float)
False

Also note that Float's Eq instance does not satisfy substitutivity:

>>> 0 == (-0 :: Float)
True
>>> recip 0 == recip (-0 :: Float)
False

Defined in GHC.Classes

Methods

(==) :: Float -> Float -> Bool

(/=) :: Float -> Float -> Bool

Floating Float

Since: base-2.1

Defined in GHC.Float

Methods

pi :: Float

exp :: Float -> Float

log :: Float -> Float

sqrt :: Float -> Float

(**) :: Float -> Float -> Float

logBase :: Float -> Float -> Float

sin :: Float -> Float

cos :: Float -> Float

tan :: Float -> Float

asin :: Float -> Float

acos :: Float -> Float

atan :: Float -> Float

sinh :: Float -> Float

cosh :: Float -> Float

tanh :: Float -> Float

asinh :: Float -> Float

acosh :: Float -> Float

atanh :: Float -> Float

log1p :: Float -> Float

expm1 :: Float -> Float

log1pexp :: Float -> Float

log1mexp :: Float -> Float

Ord Float

Note that due to the presence of NaN, Float's Ord instance does not satisfy reflexivity.

>>> 0/0 <= (0/0 :: Float)
False

Also note that, due to the same, Ord's operator interactions are not respected by Float's instance:

>>> (0/0 :: Float) > 1
False
>>> compare (0/0 :: Float) 1
GT

Defined in GHC.Classes

Methods

compare :: Float -> Float -> Ordering

(<) :: Float -> Float -> Bool

(<=) :: Float -> Float -> Bool

(>) :: Float -> Float -> Bool

(>=) :: Float -> Float -> Bool

max :: Float -> Float -> Float

min :: Float -> Float -> Float

Read Float

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Float

readList :: ReadS [Float]

readPrec :: ReadPrec Float

readListPrec :: ReadPrec [Float]

RealFloat Float

Since: base-2.1

Defined in GHC.Float

Methods

floatRadix :: Float -> Integer

floatDigits :: Float -> Int

floatRange :: Float -> (Int, Int)

decodeFloat :: Float -> (Integer, Int)

encodeFloat :: Integer -> Int -> Float

exponent :: Float -> Int

significand :: Float -> Float

scaleFloat :: Int -> Float -> Float

isNaN :: Float -> Bool

isInfinite :: Float -> Bool

isDenormalized :: Float -> Bool

isNegativeZero :: Float -> Bool

isIEEE :: Float -> Bool

atan2 :: Float -> Float -> Float

NFData Float

Defined in Control.DeepSeq

Methods

rnf :: Float -> ()

Hashable Float

Note: prior to hashable-1.3.0.0, hash 0.0 /= hash (-0.0)

The hash of NaN is not well defined.

Since: hashable-1.3.0.0

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Float -> Int

hash :: Float -> Int

Generic1 (URec Float :: k -> Type)

Since: base-4.9.0.0

Defined in GHC.Generics

Associated Types

type Rep1 (URec Float) :: k -> Type

Methods

from1 :: forall (a :: k0). URec Float a -> Rep1 (URec Float) a

to1 :: forall (a :: k0). Rep1 (URec Float) a -> URec Float a

Foldable (UFloat :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => UFloat m -> m

foldMap :: Monoid m => (a -> m) -> UFloat a -> m

foldMap' :: Monoid m => (a -> m) -> UFloat a -> m

foldr :: (a -> b -> b) -> b -> UFloat a -> b

foldr' :: (a -> b -> b) -> b -> UFloat a -> b

foldl :: (b -> a -> b) -> b -> UFloat a -> b

foldl' :: (b -> a -> b) -> b -> UFloat a -> b

foldr1 :: (a -> a -> a) -> UFloat a -> a

foldl1 :: (a -> a -> a) -> UFloat a -> a

toList :: UFloat a -> [a]

null :: UFloat a -> Bool

length :: UFloat a -> Int

elem :: Eq a => a -> UFloat a -> Bool

maximum :: Ord a => UFloat a -> a

minimum :: Ord a => UFloat a -> a

sum :: Num a => UFloat a -> a

product :: Num a => UFloat a -> a

Traversable (UFloat :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> UFloat a -> f (UFloat b)

sequenceA :: Applicative f => UFloat (f a) -> f (UFloat a)

mapM :: Monad m => (a -> m b) -> UFloat a -> m (UFloat b)

sequence :: Monad m => UFloat (m a) -> m (UFloat a)

Functor (URec Float :: Type -> Type)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Float a -> URec Float b

(<$) :: a -> URec Float b -> URec Float a

Eq (URec Float p)

Defined in GHC.Generics

Methods

(==) :: URec Float p -> URec Float p -> Bool

(/=) :: URec Float p -> URec Float p -> Bool

Ord (URec Float p)

Defined in GHC.Generics

Methods

compare :: URec Float p -> URec Float p -> Ordering

(<) :: URec Float p -> URec Float p -> Bool

(<=) :: URec Float p -> URec Float p -> Bool

(>) :: URec Float p -> URec Float p -> Bool

(>=) :: URec Float p -> URec Float p -> Bool

max :: URec Float p -> URec Float p -> URec Float p

min :: URec Float p -> URec Float p -> URec Float p

Show (URec Float p)

Defined in GHC.Generics

Methods

showsPrec :: Int -> URec Float p -> ShowS

show :: URec Float p -> String

showList :: [URec Float p] -> ShowS

Generic (URec Float p)

Defined in GHC.Generics

Associated Types

type Rep (URec Float p) :: Type -> Type

Methods

from :: URec Float p -> Rep (URec Float p) x

to :: Rep (URec Float p) x -> URec Float p

data URec Float (p :: k)

Used for marking occurrences of Float#

Since: base-4.9.0.0

Defined in GHC.Generics

data URec Float (p :: k) = UFloat {

• uFloat# :: Float#

}

type Rep1 (URec Float :: k -> Type)

Defined in GHC.Generics

type Rep1 (URec Float :: k -> Type) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UFloat" 'PrefixI 'True) (S1 ('MetaSel ('Just "uFloat#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UFloat :: k -> Type)))

type Rep (URec Float p)

Defined in GHC.Generics

type Rep (URec Float p) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UFloat" 'PrefixI 'True) (S1 ('MetaSel ('Just "uFloat#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UFloat :: Type -> Type)))

data Int

A fixed-precision integer type with at least the range [-2^29 .. 2^29-1]. The exact range for a given implementation can be determined by using minBound and maxBound from the Bounded class.

Instances

Bounded Int

Since: base-2.1

Defined in GHC.Enum

Methods

minBound :: Int

maxBound :: Int

Enum Int

Since: base-2.1

Defined in GHC.Enum

Methods

succ :: Int -> Int

pred :: Int -> Int

toEnum :: Int -> Int

fromEnum :: Int -> Int

enumFrom :: Int -> [Int]

enumFromThen :: Int -> Int -> [Int]

enumFromTo :: Int -> Int -> [Int]

enumFromThenTo :: Int -> Int -> Int -> [Int]

Eq Int

Defined in GHC.Classes

Methods

(==) :: Int -> Int -> Bool

(/=) :: Int -> Int -> Bool

Integral Int

Since: base-2.0.1

Defined in GHC.Real

Methods

quot :: Int -> Int -> Int

rem :: Int -> Int -> Int

div :: Int -> Int -> Int

mod :: Int -> Int -> Int

quotRem :: Int -> Int -> (Int, Int)

divMod :: Int -> Int -> (Int, Int)

toInteger :: Int -> Integer

Num Int

Since: base-2.1

Defined in GHC.Num

Methods

(+) :: Int -> Int -> Int

(-) :: Int -> Int -> Int

(*) :: Int -> Int -> Int

negate :: Int -> Int

abs :: Int -> Int

signum :: Int -> Int

fromInteger :: Integer -> Int

Ord Int

Defined in GHC.Classes

Methods

compare :: Int -> Int -> Ordering

(<) :: Int -> Int -> Bool

(<=) :: Int -> Int -> Bool

(>) :: Int -> Int -> Bool

(>=) :: Int -> Int -> Bool

max :: Int -> Int -> Int

min :: Int -> Int -> Int

Read Int

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Int

readList :: ReadS [Int]

readPrec :: ReadPrec Int

readListPrec :: ReadPrec [Int]

Real Int

Since: base-2.0.1

Defined in GHC.Real

Methods

toRational :: Int -> Rational

Show Int

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> Int -> ShowS

show :: Int -> String

showList :: [Int] -> ShowS

Bits Int

Since: base-2.1

Defined in Data.Bits

Methods

(.&.) :: Int -> Int -> Int

(.|.) :: Int -> Int -> Int

xor :: Int -> Int -> Int

complement :: Int -> Int

shift :: Int -> Int -> Int

rotate :: Int -> Int -> Int

zeroBits :: Int

bit :: Int -> Int

setBit :: Int -> Int -> Int

clearBit :: Int -> Int -> Int

complementBit :: Int -> Int -> Int

testBit :: Int -> Int -> Bool

bitSizeMaybe :: Int -> Maybe Int

bitSize :: Int -> Int

isSigned :: Int -> Bool

shiftL :: Int -> Int -> Int

unsafeShiftL :: Int -> Int -> Int

shiftR :: Int -> Int -> Int

unsafeShiftR :: Int -> Int -> Int

rotateL :: Int -> Int -> Int

rotateR :: Int -> Int -> Int

popCount :: Int -> Int

FiniteBits Int

Since: base-4.6.0.0

Defined in Data.Bits

Methods

finiteBitSize :: Int -> Int

countLeadingZeros :: Int -> Int

countTrailingZeros :: Int -> Int

NFData Int

Defined in Control.DeepSeq

Methods

rnf :: Int -> ()

Hashable Int

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Int -> Int

hash :: Int -> Int

Generic1 (URec Int :: k -> Type)

Since: base-4.9.0.0

Defined in GHC.Generics

Associated Types

type Rep1 (URec Int) :: k -> Type

Methods

from1 :: forall (a :: k0). URec Int a -> Rep1 (URec Int) a

to1 :: forall (a :: k0). Rep1 (URec Int) a -> URec Int a

Foldable (UInt :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => UInt m -> m

foldMap :: Monoid m => (a -> m) -> UInt a -> m

foldMap' :: Monoid m => (a -> m) -> UInt a -> m

foldr :: (a -> b -> b) -> b -> UInt a -> b

foldr' :: (a -> b -> b) -> b -> UInt a -> b

foldl :: (b -> a -> b) -> b -> UInt a -> b

foldl' :: (b -> a -> b) -> b -> UInt a -> b

foldr1 :: (a -> a -> a) -> UInt a -> a

foldl1 :: (a -> a -> a) -> UInt a -> a

toList :: UInt a -> [a]

null :: UInt a -> Bool

length :: UInt a -> Int

elem :: Eq a => a -> UInt a -> Bool

maximum :: Ord a => UInt a -> a

minimum :: Ord a => UInt a -> a

sum :: Num a => UInt a -> a

product :: Num a => UInt a -> a

Traversable (UInt :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> UInt a -> f (UInt b)

sequenceA :: Applicative f => UInt (f a) -> f (UInt a)

mapM :: Monad m => (a -> m b) -> UInt a -> m (UInt b)

sequence :: Monad m => UInt (m a) -> m (UInt a)

Reifies Z Int

Defined in Data.Reflection

Methods

reflect :: proxy Z -> Int

Reifies n Int => Reifies (D n :: Type) Int

Defined in Data.Reflection

Methods

reflect :: proxy (D n) -> Int

Reifies n Int => Reifies (SD n :: Type) Int

Defined in Data.Reflection

Methods

reflect :: proxy (SD n) -> Int

Reifies n Int => Reifies (PD n :: Type) Int

Defined in Data.Reflection

Methods

reflect :: proxy (PD n) -> Int

Functor (URec Int :: Type -> Type)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Int a -> URec Int b

(<$) :: a -> URec Int b -> URec Int a

Eq (URec Int p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

(==) :: URec Int p -> URec Int p -> Bool

(/=) :: URec Int p -> URec Int p -> Bool

Ord (URec Int p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

compare :: URec Int p -> URec Int p -> Ordering

(<) :: URec Int p -> URec Int p -> Bool

(<=) :: URec Int p -> URec Int p -> Bool

(>) :: URec Int p -> URec Int p -> Bool

(>=) :: URec Int p -> URec Int p -> Bool

max :: URec Int p -> URec Int p -> URec Int p

min :: URec Int p -> URec Int p -> URec Int p

Show (URec Int p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

showsPrec :: Int -> URec Int p -> ShowS

show :: URec Int p -> String

showList :: [URec Int p] -> ShowS

Generic (URec Int p)

Since: base-4.9.0.0

Defined in GHC.Generics

Associated Types

type Rep (URec Int p) :: Type -> Type

Methods

from :: URec Int p -> Rep (URec Int p) x

to :: Rep (URec Int p) x -> URec Int p

data URec Int (p :: k)

Used for marking occurrences of Int#

Since: base-4.9.0.0

Defined in GHC.Generics

data URec Int (p :: k) = UInt {

• uInt# :: Int#

}

type Rep1 (URec Int :: k -> Type)

Defined in GHC.Generics

type Rep1 (URec Int :: k -> Type) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UInt" 'PrefixI 'True) (S1 ('MetaSel ('Just "uInt#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UInt :: k -> Type)))

type Rep (URec Int p)

Defined in GHC.Generics

type Rep (URec Int p) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UInt" 'PrefixI 'True) (S1 ('MetaSel ('Just "uInt#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UInt :: Type -> Type)))

data Int8

8-bit signed integer type

Instances

Bounded Int8

Since: base-2.1

Defined in GHC.Int

Methods

minBound :: Int8

maxBound :: Int8

Enum Int8

Since: base-2.1

Defined in GHC.Int

Methods

succ :: Int8 -> Int8

pred :: Int8 -> Int8

toEnum :: Int -> Int8

fromEnum :: Int8 -> Int

enumFrom :: Int8 -> [Int8]

enumFromThen :: Int8 -> Int8 -> [Int8]

enumFromTo :: Int8 -> Int8 -> [Int8]

enumFromThenTo :: Int8 -> Int8 -> Int8 -> [Int8]

Eq Int8

Since: base-2.1

Defined in GHC.Int

Methods

(==) :: Int8 -> Int8 -> Bool

(/=) :: Int8 -> Int8 -> Bool

Integral Int8

Since: base-2.1

Defined in GHC.Int

Methods

quot :: Int8 -> Int8 -> Int8

rem :: Int8 -> Int8 -> Int8

div :: Int8 -> Int8 -> Int8

mod :: Int8 -> Int8 -> Int8

quotRem :: Int8 -> Int8 -> (Int8, Int8)

divMod :: Int8 -> Int8 -> (Int8, Int8)

toInteger :: Int8 -> Integer

Num Int8

Since: base-2.1

Defined in GHC.Int

Methods

(+) :: Int8 -> Int8 -> Int8

(-) :: Int8 -> Int8 -> Int8

(*) :: Int8 -> Int8 -> Int8

negate :: Int8 -> Int8

abs :: Int8 -> Int8

signum :: Int8 -> Int8

fromInteger :: Integer -> Int8

Ord Int8

Since: base-2.1

Defined in GHC.Int

Methods

compare :: Int8 -> Int8 -> Ordering

(<) :: Int8 -> Int8 -> Bool

(<=) :: Int8 -> Int8 -> Bool

(>) :: Int8 -> Int8 -> Bool

(>=) :: Int8 -> Int8 -> Bool

max :: Int8 -> Int8 -> Int8

min :: Int8 -> Int8 -> Int8

Read Int8

Since: base-2.1

Defined in GHC.Int

Methods

readsPrec :: Int -> ReadS Int8

readList :: ReadS [Int8]

readPrec :: ReadPrec Int8

readListPrec :: ReadPrec [Int8]

Real Int8

Since: base-2.1

Defined in GHC.Int

Methods

toRational :: Int8 -> Rational

Show Int8

Since: base-2.1

Defined in GHC.Int

Methods

showsPrec :: Int -> Int8 -> ShowS

show :: Int8 -> String

showList :: [Int8] -> ShowS

Ix Int8

Since: base-2.1

Defined in GHC.Int

Methods

range :: (Int8, Int8) -> [Int8]

index :: (Int8, Int8) -> Int8 -> Int

unsafeIndex :: (Int8, Int8) -> Int8 -> Int

inRange :: (Int8, Int8) -> Int8 -> Bool

rangeSize :: (Int8, Int8) -> Int

unsafeRangeSize :: (Int8, Int8) -> Int

Bits Int8

Since: base-2.1

Defined in GHC.Int

Methods

(.&.) :: Int8 -> Int8 -> Int8

(.|.) :: Int8 -> Int8 -> Int8

xor :: Int8 -> Int8 -> Int8

complement :: Int8 -> Int8

shift :: Int8 -> Int -> Int8

rotate :: Int8 -> Int -> Int8

zeroBits :: Int8

bit :: Int -> Int8

setBit :: Int8 -> Int -> Int8

clearBit :: Int8 -> Int -> Int8

complementBit :: Int8 -> Int -> Int8

testBit :: Int8 -> Int -> Bool

bitSizeMaybe :: Int8 -> Maybe Int

bitSize :: Int8 -> Int

isSigned :: Int8 -> Bool

shiftL :: Int8 -> Int -> Int8

unsafeShiftL :: Int8 -> Int -> Int8

shiftR :: Int8 -> Int -> Int8

unsafeShiftR :: Int8 -> Int -> Int8

rotateL :: Int8 -> Int -> Int8

rotateR :: Int8 -> Int -> Int8

popCount :: Int8 -> Int

FiniteBits Int8

Since: base-4.6.0.0

Defined in GHC.Int

Methods

finiteBitSize :: Int8 -> Int

countLeadingZeros :: Int8 -> Int

countTrailingZeros :: Int8 -> Int

NFData Int8

Defined in Control.DeepSeq

Methods

rnf :: Int8 -> ()

Hashable Int8

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Int8 -> Int

hash :: Int8 -> Int

data Int16

16-bit signed integer type

Instances

Bounded Int16

Since: base-2.1

Defined in GHC.Int

Methods

minBound :: Int16

maxBound :: Int16

Enum Int16

Since: base-2.1

Defined in GHC.Int

Methods

succ :: Int16 -> Int16

pred :: Int16 -> Int16

toEnum :: Int -> Int16

fromEnum :: Int16 -> Int

enumFrom :: Int16 -> [Int16]

enumFromThen :: Int16 -> Int16 -> [Int16]

enumFromTo :: Int16 -> Int16 -> [Int16]

enumFromThenTo :: Int16 -> Int16 -> Int16 -> [Int16]

Eq Int16

Since: base-2.1

Defined in GHC.Int

Methods

(==) :: Int16 -> Int16 -> Bool

(/=) :: Int16 -> Int16 -> Bool

Integral Int16

Since: base-2.1

Defined in GHC.Int

Methods

quot :: Int16 -> Int16 -> Int16

rem :: Int16 -> Int16 -> Int16

div :: Int16 -> Int16 -> Int16

mod :: Int16 -> Int16 -> Int16

quotRem :: Int16 -> Int16 -> (Int16, Int16)

divMod :: Int16 -> Int16 -> (Int16, Int16)

toInteger :: Int16 -> Integer

Num Int16

Since: base-2.1

Defined in GHC.Int

Methods

(+) :: Int16 -> Int16 -> Int16

(-) :: Int16 -> Int16 -> Int16

(*) :: Int16 -> Int16 -> Int16

negate :: Int16 -> Int16

abs :: Int16 -> Int16

signum :: Int16 -> Int16

fromInteger :: Integer -> Int16

Ord Int16

Since: base-2.1

Defined in GHC.Int

Methods

compare :: Int16 -> Int16 -> Ordering

(<) :: Int16 -> Int16 -> Bool

(<=) :: Int16 -> Int16 -> Bool

(>) :: Int16 -> Int16 -> Bool

(>=) :: Int16 -> Int16 -> Bool

max :: Int16 -> Int16 -> Int16

min :: Int16 -> Int16 -> Int16

Read Int16

Since: base-2.1

Defined in GHC.Int

Methods

readsPrec :: Int -> ReadS Int16

readList :: ReadS [Int16]

readPrec :: ReadPrec Int16

readListPrec :: ReadPrec [Int16]

Real Int16

Since: base-2.1

Defined in GHC.Int

Methods

toRational :: Int16 -> Rational

Show Int16

Since: base-2.1

Defined in GHC.Int

Methods

showsPrec :: Int -> Int16 -> ShowS

show :: Int16 -> String

showList :: [Int16] -> ShowS

Ix Int16

Since: base-2.1

Defined in GHC.Int

Methods

range :: (Int16, Int16) -> [Int16]

index :: (Int16, Int16) -> Int16 -> Int

unsafeIndex :: (Int16, Int16) -> Int16 -> Int

inRange :: (Int16, Int16) -> Int16 -> Bool

rangeSize :: (Int16, Int16) -> Int

unsafeRangeSize :: (Int16, Int16) -> Int

Bits Int16

Since: base-2.1

Defined in GHC.Int

Methods

(.&.) :: Int16 -> Int16 -> Int16

(.|.) :: Int16 -> Int16 -> Int16

xor :: Int16 -> Int16 -> Int16

complement :: Int16 -> Int16

shift :: Int16 -> Int -> Int16

rotate :: Int16 -> Int -> Int16

zeroBits :: Int16

bit :: Int -> Int16

setBit :: Int16 -> Int -> Int16

clearBit :: Int16 -> Int -> Int16

complementBit :: Int16 -> Int -> Int16

testBit :: Int16 -> Int -> Bool

bitSizeMaybe :: Int16 -> Maybe Int

bitSize :: Int16 -> Int

isSigned :: Int16 -> Bool

shiftL :: Int16 -> Int -> Int16

unsafeShiftL :: Int16 -> Int -> Int16

shiftR :: Int16 -> Int -> Int16

unsafeShiftR :: Int16 -> Int -> Int16

rotateL :: Int16 -> Int -> Int16

rotateR :: Int16 -> Int -> Int16

popCount :: Int16 -> Int

FiniteBits Int16

Since: base-4.6.0.0

Defined in GHC.Int

Methods

finiteBitSize :: Int16 -> Int

countLeadingZeros :: Int16 -> Int

countTrailingZeros :: Int16 -> Int

NFData Int16

Defined in Control.DeepSeq

Methods

rnf :: Int16 -> ()

Hashable Int16

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Int16 -> Int

hash :: Int16 -> Int

data Int32

32-bit signed integer type

Instances

Bounded Int32

Since: base-2.1

Defined in GHC.Int

Methods

minBound :: Int32

maxBound :: Int32

Enum Int32

Since: base-2.1

Defined in GHC.Int

Methods

succ :: Int32 -> Int32

pred :: Int32 -> Int32

toEnum :: Int -> Int32

fromEnum :: Int32 -> Int

enumFrom :: Int32 -> [Int32]

enumFromThen :: Int32 -> Int32 -> [Int32]

enumFromTo :: Int32 -> Int32 -> [Int32]

enumFromThenTo :: Int32 -> Int32 -> Int32 -> [Int32]

Eq Int32

Since: base-2.1

Defined in GHC.Int

Methods

(==) :: Int32 -> Int32 -> Bool

(/=) :: Int32 -> Int32 -> Bool

Integral Int32

Since: base-2.1

Defined in GHC.Int

Methods

quot :: Int32 -> Int32 -> Int32

rem :: Int32 -> Int32 -> Int32

div :: Int32 -> Int32 -> Int32

mod :: Int32 -> Int32 -> Int32

quotRem :: Int32 -> Int32 -> (Int32, Int32)

divMod :: Int32 -> Int32 -> (Int32, Int32)

toInteger :: Int32 -> Integer

Num Int32

Since: base-2.1

Defined in GHC.Int

Methods

(+) :: Int32 -> Int32 -> Int32

(-) :: Int32 -> Int32 -> Int32

(*) :: Int32 -> Int32 -> Int32

negate :: Int32 -> Int32

abs :: Int32 -> Int32

signum :: Int32 -> Int32

fromInteger :: Integer -> Int32

Ord Int32

Since: base-2.1

Defined in GHC.Int

Methods

compare :: Int32 -> Int32 -> Ordering

(<) :: Int32 -> Int32 -> Bool

(<=) :: Int32 -> Int32 -> Bool

(>) :: Int32 -> Int32 -> Bool

(>=) :: Int32 -> Int32 -> Bool

max :: Int32 -> Int32 -> Int32

min :: Int32 -> Int32 -> Int32

Read Int32

Since: base-2.1

Defined in GHC.Int

Methods

readsPrec :: Int -> ReadS Int32

readList :: ReadS [Int32]

readPrec :: ReadPrec Int32

readListPrec :: ReadPrec [Int32]

Real Int32

Since: base-2.1

Defined in GHC.Int

Methods

toRational :: Int32 -> Rational

Show Int32

Since: base-2.1

Defined in GHC.Int

Methods

showsPrec :: Int -> Int32 -> ShowS

show :: Int32 -> String

showList :: [Int32] -> ShowS

Ix Int32

Since: base-2.1

Defined in GHC.Int

Methods

range :: (Int32, Int32) -> [Int32]

index :: (Int32, Int32) -> Int32 -> Int

unsafeIndex :: (Int32, Int32) -> Int32 -> Int

inRange :: (Int32, Int32) -> Int32 -> Bool

rangeSize :: (Int32, Int32) -> Int

unsafeRangeSize :: (Int32, Int32) -> Int

Bits Int32

Since: base-2.1

Defined in GHC.Int

Methods

(.&.) :: Int32 -> Int32 -> Int32

(.|.) :: Int32 -> Int32 -> Int32

xor :: Int32 -> Int32 -> Int32

complement :: Int32 -> Int32

shift :: Int32 -> Int -> Int32

rotate :: Int32 -> Int -> Int32

zeroBits :: Int32

bit :: Int -> Int32

setBit :: Int32 -> Int -> Int32

clearBit :: Int32 -> Int -> Int32

complementBit :: Int32 -> Int -> Int32

testBit :: Int32 -> Int -> Bool

bitSizeMaybe :: Int32 -> Maybe Int

bitSize :: Int32 -> Int

isSigned :: Int32 -> Bool

shiftL :: Int32 -> Int -> Int32

unsafeShiftL :: Int32 -> Int -> Int32

shiftR :: Int32 -> Int -> Int32

unsafeShiftR :: Int32 -> Int -> Int32

rotateL :: Int32 -> Int -> Int32

rotateR :: Int32 -> Int -> Int32

popCount :: Int32 -> Int

FiniteBits Int32

Since: base-4.6.0.0

Defined in GHC.Int

Methods

finiteBitSize :: Int32 -> Int

countLeadingZeros :: Int32 -> Int

countTrailingZeros :: Int32 -> Int

NFData Int32

Defined in Control.DeepSeq

Methods

rnf :: Int32 -> ()

Hashable Int32

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Int32 -> Int

hash :: Int32 -> Int

data Int64

64-bit signed integer type

Instances

Bounded Int64

Since: base-2.1

Defined in GHC.Int

Methods

minBound :: Int64

maxBound :: Int64

Enum Int64

Since: base-2.1

Defined in GHC.Int

Methods

succ :: Int64 -> Int64

pred :: Int64 -> Int64

toEnum :: Int -> Int64

fromEnum :: Int64 -> Int

enumFrom :: Int64 -> [Int64]

enumFromThen :: Int64 -> Int64 -> [Int64]

enumFromTo :: Int64 -> Int64 -> [Int64]

enumFromThenTo :: Int64 -> Int64 -> Int64 -> [Int64]

Eq Int64

Since: base-2.1

Defined in GHC.Int

Methods

(==) :: Int64 -> Int64 -> Bool

(/=) :: Int64 -> Int64 -> Bool

Integral Int64

Since: base-2.1

Defined in GHC.Int

Methods

quot :: Int64 -> Int64 -> Int64

rem :: Int64 -> Int64 -> Int64

div :: Int64 -> Int64 -> Int64

mod :: Int64 -> Int64 -> Int64

quotRem :: Int64 -> Int64 -> (Int64, Int64)

divMod :: Int64 -> Int64 -> (Int64, Int64)

toInteger :: Int64 -> Integer

Num Int64

Since: base-2.1

Defined in GHC.Int

Methods

(+) :: Int64 -> Int64 -> Int64

(-) :: Int64 -> Int64 -> Int64

(*) :: Int64 -> Int64 -> Int64

negate :: Int64 -> Int64

abs :: Int64 -> Int64

signum :: Int64 -> Int64

fromInteger :: Integer -> Int64

Ord Int64

Since: base-2.1

Defined in GHC.Int

Methods

compare :: Int64 -> Int64 -> Ordering

(<) :: Int64 -> Int64 -> Bool

(<=) :: Int64 -> Int64 -> Bool

(>) :: Int64 -> Int64 -> Bool

(>=) :: Int64 -> Int64 -> Bool

max :: Int64 -> Int64 -> Int64

min :: Int64 -> Int64 -> Int64

Read Int64

Since: base-2.1

Defined in GHC.Int

Methods

readsPrec :: Int -> ReadS Int64

readList :: ReadS [Int64]

readPrec :: ReadPrec Int64

readListPrec :: ReadPrec [Int64]

Real Int64

Since: base-2.1

Defined in GHC.Int

Methods

toRational :: Int64 -> Rational

Show Int64

Since: base-2.1

Defined in GHC.Int

Methods

showsPrec :: Int -> Int64 -> ShowS

show :: Int64 -> String

showList :: [Int64] -> ShowS

Ix Int64

Since: base-2.1

Defined in GHC.Int

Methods

range :: (Int64, Int64) -> [Int64]

index :: (Int64, Int64) -> Int64 -> Int

unsafeIndex :: (Int64, Int64) -> Int64 -> Int

inRange :: (Int64, Int64) -> Int64 -> Bool

rangeSize :: (Int64, Int64) -> Int

unsafeRangeSize :: (Int64, Int64) -> Int

Bits Int64

Since: base-2.1

Defined in GHC.Int

Methods

(.&.) :: Int64 -> Int64 -> Int64

(.|.) :: Int64 -> Int64 -> Int64

xor :: Int64 -> Int64 -> Int64

complement :: Int64 -> Int64

shift :: Int64 -> Int -> Int64

rotate :: Int64 -> Int -> Int64

zeroBits :: Int64

bit :: Int -> Int64

setBit :: Int64 -> Int -> Int64

clearBit :: Int64 -> Int -> Int64

complementBit :: Int64 -> Int -> Int64

testBit :: Int64 -> Int -> Bool

bitSizeMaybe :: Int64 -> Maybe Int

bitSize :: Int64 -> Int

isSigned :: Int64 -> Bool

shiftL :: Int64 -> Int -> Int64

unsafeShiftL :: Int64 -> Int -> Int64

shiftR :: Int64 -> Int -> Int64

unsafeShiftR :: Int64 -> Int -> Int64

rotateL :: Int64 -> Int -> Int64

rotateR :: Int64 -> Int -> Int64

popCount :: Int64 -> Int

FiniteBits Int64

Since: base-4.6.0.0

Defined in GHC.Int

Methods

finiteBitSize :: Int64 -> Int

countLeadingZeros :: Int64 -> Int

countTrailingZeros :: Int64 -> Int

NFData Int64

Defined in Control.DeepSeq

Methods

rnf :: Int64 -> ()

Hashable Int64

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Int64 -> Int

hash :: Int64 -> Int

data Integer

Arbitrary precision integers. In contrast with fixed-size integral types such as Int, the Integer type represents the entire infinite range of integers.

For more information about this type's representation, see the comments in its implementation.

Instances

Enum Integer

Since: base-2.1

Defined in GHC.Enum

Methods

succ :: Integer -> Integer

pred :: Integer -> Integer

toEnum :: Int -> Integer

fromEnum :: Integer -> Int

enumFrom :: Integer -> [Integer]

enumFromThen :: Integer -> Integer -> [Integer]

enumFromTo :: Integer -> Integer -> [Integer]

enumFromThenTo :: Integer -> Integer -> Integer -> [Integer]

Eq Integer

Defined in GHC.Integer.Type

Methods

(==) :: Integer -> Integer -> Bool

(/=) :: Integer -> Integer -> Bool

Integral Integer

Since: base-2.0.1

Defined in GHC.Real

Methods

quot :: Integer -> Integer -> Integer

rem :: Integer -> Integer -> Integer

div :: Integer -> Integer -> Integer

mod :: Integer -> Integer -> Integer

quotRem :: Integer -> Integer -> (Integer, Integer)

divMod :: Integer -> Integer -> (Integer, Integer)

toInteger :: Integer -> Integer

Num Integer

Since: base-2.1

Defined in GHC.Num

Methods

(+) :: Integer -> Integer -> Integer

(-) :: Integer -> Integer -> Integer

(*) :: Integer -> Integer -> Integer

negate :: Integer -> Integer

abs :: Integer -> Integer

signum :: Integer -> Integer

fromInteger :: Integer -> Integer

Ord Integer

Defined in GHC.Integer.Type

Methods

compare :: Integer -> Integer -> Ordering

(<) :: Integer -> Integer -> Bool

(<=) :: Integer -> Integer -> Bool

(>) :: Integer -> Integer -> Bool

(>=) :: Integer -> Integer -> Bool

max :: Integer -> Integer -> Integer

min :: Integer -> Integer -> Integer

Read Integer

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Integer

readList :: ReadS [Integer]

readPrec :: ReadPrec Integer

readListPrec :: ReadPrec [Integer]

Real Integer

Since: base-2.0.1

Defined in GHC.Real

Methods

toRational :: Integer -> Rational

Show Integer

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> Integer -> ShowS

show :: Integer -> String

showList :: [Integer] -> ShowS

Bits Integer

Since: base-2.1

Defined in Data.Bits

Methods

(.&.) :: Integer -> Integer -> Integer

(.|.) :: Integer -> Integer -> Integer

xor :: Integer -> Integer -> Integer

complement :: Integer -> Integer

shift :: Integer -> Int -> Integer

rotate :: Integer -> Int -> Integer

zeroBits :: Integer

bit :: Int -> Integer

setBit :: Integer -> Int -> Integer

clearBit :: Integer -> Int -> Integer

complementBit :: Integer -> Int -> Integer

testBit :: Integer -> Int -> Bool

bitSizeMaybe :: Integer -> Maybe Int

bitSize :: Integer -> Int

isSigned :: Integer -> Bool

shiftL :: Integer -> Int -> Integer

unsafeShiftL :: Integer -> Int -> Integer

shiftR :: Integer -> Int -> Integer

unsafeShiftR :: Integer -> Int -> Integer

rotateL :: Integer -> Int -> Integer

rotateR :: Integer -> Int -> Integer

popCount :: Integer -> Int

NFData Integer

Defined in Control.DeepSeq

Methods

rnf :: Integer -> ()

Hashable Integer

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Integer -> Int

hash :: Integer -> Int

KnownNat n => Reifies (n :: Nat) Integer

Defined in Data.Reflection

Methods

reflect :: proxy n -> Integer

data Natural

Type representing arbitrary-precision non-negative integers.

>>> 2^100 :: Natural
1267650600228229401496703205376

Operations whose result would be negative throw (Underflow :: ArithException),

>>> -1 :: Natural
*** Exception: arithmetic underflow

Since: base-4.8.0.0

Instances

Enum Natural

Since: base-4.8.0.0

Defined in GHC.Enum

Methods

succ :: Natural -> Natural

pred :: Natural -> Natural

toEnum :: Int -> Natural

fromEnum :: Natural -> Int

enumFrom :: Natural -> [Natural]

enumFromThen :: Natural -> Natural -> [Natural]

enumFromTo :: Natural -> Natural -> [Natural]

enumFromThenTo :: Natural -> Natural -> Natural -> [Natural]

Eq Natural

Since: base-4.8.0.0

Defined in GHC.Natural

Methods

(==) :: Natural -> Natural -> Bool

(/=) :: Natural -> Natural -> Bool

Integral Natural

Since: base-4.8.0.0

Defined in GHC.Real

Methods

quot :: Natural -> Natural -> Natural

rem :: Natural -> Natural -> Natural

div :: Natural -> Natural -> Natural

mod :: Natural -> Natural -> Natural

quotRem :: Natural -> Natural -> (Natural, Natural)

divMod :: Natural -> Natural -> (Natural, Natural)

toInteger :: Natural -> Integer

Num Natural

Note that Natural's Num instance isn't a ring: no element but 0 has an additive inverse. It is a semiring though.

Since: base-4.8.0.0

Defined in GHC.Num

Methods

(+) :: Natural -> Natural -> Natural

(-) :: Natural -> Natural -> Natural

(*) :: Natural -> Natural -> Natural

negate :: Natural -> Natural

abs :: Natural -> Natural

signum :: Natural -> Natural

fromInteger :: Integer -> Natural

Ord Natural

Since: base-4.8.0.0

Defined in GHC.Natural

Methods

compare :: Natural -> Natural -> Ordering

(<) :: Natural -> Natural -> Bool

(<=) :: Natural -> Natural -> Bool

(>) :: Natural -> Natural -> Bool

(>=) :: Natural -> Natural -> Bool

max :: Natural -> Natural -> Natural

min :: Natural -> Natural -> Natural

Read Natural

Since: base-4.8.0.0

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Natural

readList :: ReadS [Natural]

readPrec :: ReadPrec Natural

readListPrec :: ReadPrec [Natural]

Real Natural

Since: base-4.8.0.0

Defined in GHC.Real

Methods

toRational :: Natural -> Rational

Show Natural

Since: base-4.8.0.0

Defined in GHC.Show

Methods

showsPrec :: Int -> Natural -> ShowS

show :: Natural -> String

showList :: [Natural] -> ShowS

Bits Natural

Since: base-4.8.0

Defined in Data.Bits

Methods

(.&.) :: Natural -> Natural -> Natural

(.|.) :: Natural -> Natural -> Natural

xor :: Natural -> Natural -> Natural

complement :: Natural -> Natural

shift :: Natural -> Int -> Natural

rotate :: Natural -> Int -> Natural

zeroBits :: Natural

bit :: Int -> Natural

setBit :: Natural -> Int -> Natural

clearBit :: Natural -> Int -> Natural

complementBit :: Natural -> Int -> Natural

testBit :: Natural -> Int -> Bool

bitSizeMaybe :: Natural -> Maybe Int

bitSize :: Natural -> Int

isSigned :: Natural -> Bool

shiftL :: Natural -> Int -> Natural

unsafeShiftL :: Natural -> Int -> Natural

shiftR :: Natural -> Int -> Natural

unsafeShiftR :: Natural -> Int -> Natural

rotateL :: Natural -> Int -> Natural

rotateR :: Natural -> Int -> Natural

popCount :: Natural -> Int

NFData Natural

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: Natural -> ()

Hashable Natural

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Natural -> Int

hash :: Natural -> Int

data Maybe a

The Maybe type encapsulates an optional value. A value of type Maybe a either contains a value of type a (represented as Just a), or it is empty (represented as Nothing). Using Maybe is a good way to deal with errors or exceptional cases without resorting to drastic measures such as error.

The Maybe type is also a monad. It is a simple kind of error monad, where all errors are represented by Nothing. A richer error monad can be built using the Either type.

Constructors

Nothing

Just a

Instances

Monad Maybe

Since: base-2.1

Defined in GHC.Base

Methods

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

(>>) :: Maybe a -> Maybe b -> Maybe b

return :: a -> Maybe a

Functor Maybe

Since: base-2.1

Defined in GHC.Base

Methods

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

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

MonadFail Maybe

Since: base-4.9.0.0

Defined in Control.Monad.Fail

Methods

fail :: String -> Maybe a

Applicative Maybe

Since: base-2.1

Defined in GHC.Base

Methods

pure :: a -> Maybe a

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

liftA2 :: (a -> b -> c) -> Maybe a -> Maybe b -> Maybe c

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

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

Foldable Maybe

Since: base-2.1

Defined in Data.Foldable

Methods

fold :: Monoid m => Maybe m -> m

foldMap :: Monoid m => (a -> m) -> Maybe a -> m

foldMap' :: Monoid m => (a -> m) -> Maybe a -> m

foldr :: (a -> b -> b) -> b -> Maybe a -> b

foldr' :: (a -> b -> b) -> b -> Maybe a -> b

foldl :: (b -> a -> b) -> b -> Maybe a -> b

foldl' :: (b -> a -> b) -> b -> Maybe a -> b

foldr1 :: (a -> a -> a) -> Maybe a -> a

foldl1 :: (a -> a -> a) -> Maybe a -> a

toList :: Maybe a -> [a]

null :: Maybe a -> Bool

length :: Maybe a -> Int

elem :: Eq a => a -> Maybe a -> Bool

maximum :: Ord a => Maybe a -> a

minimum :: Ord a => Maybe a -> a

sum :: Num a => Maybe a -> a

product :: Num a => Maybe a -> a

Traversable Maybe

Since: base-2.1

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> Maybe a -> f (Maybe b)

sequenceA :: Applicative f => Maybe (f a) -> f (Maybe a)

mapM :: Monad m => (a -> m b) -> Maybe a -> m (Maybe b)

sequence :: Monad m => Maybe (m a) -> m (Maybe a)

Alternative Maybe

Since: base-2.1

Defined in GHC.Base

Methods

empty :: Maybe a

(<|>) :: Maybe a -> Maybe a -> Maybe a

some :: Maybe a -> Maybe [a]

many :: Maybe a -> Maybe [a]

MonadPlus Maybe

Since: base-2.1

Defined in GHC.Base

Methods

mzero :: Maybe a

mplus :: Maybe a -> Maybe a -> Maybe a

NFData1 Maybe

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Maybe a -> ()

MonadThrow Maybe

Defined in Control.Monad.Catch

Methods

throwM :: Exception e => e -> Maybe a

Hashable1 Maybe

Defined in Data.Hashable.Class

Methods

liftHashWithSalt :: (Int -> a -> Int) -> Int -> Maybe a -> Int

MonadError () Maybe

Since: mtl-2.2.2

Defined in Control.Monad.Error.Class

Methods

throwError :: () -> Maybe a

catchError :: Maybe a -> (() -> Maybe a) -> Maybe a

Eq a => Eq (Maybe a)

Since: base-2.1

Defined in GHC.Maybe

Methods

(==) :: Maybe a -> Maybe a -> Bool

(/=) :: Maybe a -> Maybe a -> Bool

Ord a => Ord (Maybe a)

Since: base-2.1

Defined in GHC.Maybe

Methods

compare :: Maybe a -> Maybe a -> Ordering

(<) :: Maybe a -> Maybe a -> Bool

(<=) :: Maybe a -> Maybe a -> Bool

(>) :: Maybe a -> Maybe a -> Bool

(>=) :: Maybe a -> Maybe a -> Bool

max :: Maybe a -> Maybe a -> Maybe a

min :: Maybe a -> Maybe a -> Maybe a

Read a => Read (Maybe a)

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (Maybe a)

readList :: ReadS [Maybe a]

readPrec :: ReadPrec (Maybe a)

readListPrec :: ReadPrec [Maybe a]

Show a => Show (Maybe a)

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> Maybe a -> ShowS

show :: Maybe a -> String

showList :: [Maybe a] -> ShowS

Generic (Maybe a)

Since: base-4.6.0.0

Defined in GHC.Generics

Associated Types

type Rep (Maybe a) :: Type -> Type

Methods

from :: Maybe a -> Rep (Maybe a) x

to :: Rep (Maybe a) x -> Maybe a

Semigroup a => Semigroup (Maybe a)

Since: base-4.9.0.0

Defined in GHC.Base

Methods

(<>) :: Maybe a -> Maybe a -> Maybe a

sconcat :: NonEmpty (Maybe a) -> Maybe a

stimes :: Integral b => b -> Maybe a -> Maybe 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

Defined in GHC.Base

Methods

mempty :: Maybe a

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

mconcat :: [Maybe a] -> Maybe a

NFData a => NFData (Maybe a)

Defined in Control.DeepSeq

Methods

rnf :: Maybe a -> ()

Hashable a => Hashable (Maybe a)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Maybe a -> Int

hash :: Maybe a -> Int

Ixed (Maybe a)

Defined in Control.Lens.At

Methods

ix :: Index (Maybe a) -> Traversal' (Maybe a) (IxValue (Maybe a))

At (Maybe a)

Defined in Control.Lens.At

Methods

at :: Index (Maybe a) -> Lens' (Maybe a) (Maybe (IxValue (Maybe a)))

(TypeError (DisallowInstance "Maybe") :: Constraint) => Container (Maybe a)

Defined in Universum.Container.Class

Associated Types

type Element (Maybe a)

Methods

toList :: Maybe a -> [Element (Maybe a)]

null :: Maybe a -> Bool

foldr :: (Element (Maybe a) -> b -> b) -> b -> Maybe a -> b

foldl :: (b -> Element (Maybe a) -> b) -> b -> Maybe a -> b

foldl' :: (b -> Element (Maybe a) -> b) -> b -> Maybe a -> b

length :: Maybe a -> Int

elem :: Element (Maybe a) -> Maybe a -> Bool

maximum :: Maybe a -> Element (Maybe a)

minimum :: Maybe a -> Element (Maybe a)

foldMap :: Monoid m => (Element (Maybe a) -> m) -> Maybe a -> m

fold :: Maybe a -> Element (Maybe a)

foldr' :: (Element (Maybe a) -> b -> b) -> b -> Maybe a -> b

foldr1 :: (Element (Maybe a) -> Element (Maybe a) -> Element (Maybe a)) -> Maybe a -> Element (Maybe a)

foldl1 :: (Element (Maybe a) -> Element (Maybe a) -> Element (Maybe a)) -> Maybe a -> Element (Maybe a)

notElem :: Element (Maybe a) -> Maybe a -> Bool

all :: (Element (Maybe a) -> Bool) -> Maybe a -> Bool

any :: (Element (Maybe a) -> Bool) -> Maybe a -> Bool

and :: Maybe a -> Bool

or :: Maybe a -> Bool

find :: (Element (Maybe a) -> Bool) -> Maybe a -> Maybe (Element (Maybe a))

safeHead :: Maybe a -> Maybe (Element (Maybe a))

SingKind a => SingKind (Maybe a)

Since: base-4.9.0.0

Defined in GHC.Generics

Associated Types

type DemoteRep (Maybe a)

Methods

fromSing :: forall (a0 :: Maybe a). Sing a0 -> DemoteRep (Maybe a)

Generic1 Maybe

Since: base-4.6.0.0

Defined in GHC.Generics

Associated Types

type Rep1 Maybe :: k -> Type

Methods

from1 :: forall (a :: k). Maybe a -> Rep1 Maybe a

to1 :: forall (a :: k). Rep1 Maybe a -> Maybe a

SingI ('Nothing :: Maybe a)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

sing :: Sing 'Nothing

Each (Maybe a) (Maybe b) a b

Defined in Lens.Micro.Internal

Methods

each :: Traversal (Maybe a) (Maybe b) a b

SingI a2 => SingI ('Just a2 :: Maybe a1)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

sing :: Sing ('Just a2)

type Rep (Maybe a)

Defined in GHC.Generics

type Rep (Maybe a) = D1 ('MetaData "Maybe" "GHC.Maybe" "base" 'False) (C1 ('MetaCons "Nothing" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "Just" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

type Index (Maybe a)

Defined in Control.Lens.At

type Index (Maybe a) = ()

type IxValue (Maybe a)

Defined in Control.Lens.At

type IxValue (Maybe a) = a

type Element (Maybe a)

Defined in Universum.Container.Class

type Element (Maybe a) = ElementDefault (Maybe a)

type DemoteRep (Maybe a)

Defined in GHC.Generics

type DemoteRep (Maybe a) = Maybe (DemoteRep a)

data Sing (b :: Maybe a)

Defined in GHC.Generics

data Sing (b :: Maybe a) where

• SNothing :: forall a. Sing ('Nothing :: Maybe a)
• SJust :: forall a (a1 :: a). Sing a1 -> Sing ('Just a1)

type Rep1 Maybe

Defined in GHC.Generics

type Rep1 Maybe = D1 ('MetaData "Maybe" "GHC.Maybe" "base" 'False) (C1 ('MetaCons "Nothing" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "Just" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

data Ordering

Constructors

LT

EQ

GT

Instances

Bounded Ordering

Since: base-2.1

Defined in GHC.Enum

Methods

minBound :: Ordering

maxBound :: Ordering

Enum Ordering

Since: base-2.1

Defined in GHC.Enum

Methods

succ :: Ordering -> Ordering

pred :: Ordering -> Ordering

toEnum :: Int -> Ordering

fromEnum :: Ordering -> Int

enumFrom :: Ordering -> [Ordering]

enumFromThen :: Ordering -> Ordering -> [Ordering]

enumFromTo :: Ordering -> Ordering -> [Ordering]

enumFromThenTo :: Ordering -> Ordering -> Ordering -> [Ordering]

Eq Ordering

Defined in GHC.Classes

Methods

(==) :: Ordering -> Ordering -> Bool

(/=) :: Ordering -> Ordering -> Bool

Ord Ordering

Defined in GHC.Classes

Methods

compare :: Ordering -> Ordering -> Ordering

(<) :: Ordering -> Ordering -> Bool

(<=) :: Ordering -> Ordering -> Bool

(>) :: Ordering -> Ordering -> Bool

(>=) :: Ordering -> Ordering -> Bool

max :: Ordering -> Ordering -> Ordering

min :: Ordering -> Ordering -> Ordering

Read Ordering

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Ordering

readList :: ReadS [Ordering]

readPrec :: ReadPrec Ordering

readListPrec :: ReadPrec [Ordering]

Show Ordering

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> Ordering -> ShowS

show :: Ordering -> String

showList :: [Ordering] -> ShowS

Generic Ordering

Since: base-4.6.0.0

Defined in GHC.Generics

Associated Types

type Rep Ordering :: Type -> Type

Methods

from :: Ordering -> Rep Ordering x

to :: Rep Ordering x -> Ordering

Semigroup Ordering

Since: base-4.9.0.0

Defined in GHC.Base

Methods

(<>) :: Ordering -> Ordering -> Ordering

sconcat :: NonEmpty Ordering -> Ordering

stimes :: Integral b => b -> Ordering -> Ordering

Monoid Ordering

Since: base-2.1

Defined in GHC.Base

Methods

mempty :: Ordering

mappend :: Ordering -> Ordering -> Ordering

mconcat :: [Ordering] -> Ordering

NFData Ordering

Defined in Control.DeepSeq

Methods

rnf :: Ordering -> ()

Hashable Ordering

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Ordering -> Int

hash :: Ordering -> Int

type Rep Ordering

Defined in GHC.Generics

type Rep Ordering = D1 ('MetaData "Ordering" "GHC.Types" "ghc-prim" 'False) (C1 ('MetaCons "LT" 'PrefixI 'False) (U1 :: Type -> Type) :+: (C1 ('MetaCons "EQ" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "GT" 'PrefixI 'False) (U1 :: Type -> Type)))

data Ratio a

Rational numbers, with numerator and denominator of some Integral type.

Note that Ratio's instances inherit the deficiencies from the type parameter's. For example, Ratio Natural's Num instance has similar problems to Natural's.

Constructors

!a :% !a

Instances

NFData1 Ratio

Available on base >=4.9

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Ratio a -> ()

Integral a => Enum (Ratio a)

Since: base-2.0.1

Defined in GHC.Real

Methods

succ :: Ratio a -> Ratio a

pred :: Ratio a -> Ratio a

toEnum :: Int -> Ratio a

fromEnum :: Ratio a -> Int

enumFrom :: Ratio a -> [Ratio a]

enumFromThen :: Ratio a -> Ratio a -> [Ratio a]

enumFromTo :: Ratio a -> Ratio a -> [Ratio a]

enumFromThenTo :: Ratio a -> Ratio a -> Ratio a -> [Ratio a]

Eq a => Eq (Ratio a)

Since: base-2.1

Defined in GHC.Real

Methods

(==) :: Ratio a -> Ratio a -> Bool

(/=) :: Ratio a -> Ratio a -> Bool

Integral a => Fractional (Ratio a)

Since: base-2.0.1

Defined in GHC.Real

Methods

(/) :: Ratio a -> Ratio a -> Ratio a

recip :: Ratio a -> Ratio a

fromRational :: Rational -> Ratio a

Integral a => Num (Ratio a)

Since: base-2.0.1

Defined in GHC.Real

Methods

(+) :: Ratio a -> Ratio a -> Ratio a

(-) :: Ratio a -> Ratio a -> Ratio a

(*) :: Ratio a -> Ratio a -> Ratio a

negate :: Ratio a -> Ratio a

abs :: Ratio a -> Ratio a

signum :: Ratio a -> Ratio a

fromInteger :: Integer -> Ratio a

Integral a => Ord (Ratio a)

Since: base-2.0.1

Defined in GHC.Real

Methods

compare :: Ratio a -> Ratio a -> Ordering

(<) :: Ratio a -> Ratio a -> Bool

(<=) :: Ratio a -> Ratio a -> Bool

(>) :: Ratio a -> Ratio a -> Bool

(>=) :: Ratio a -> Ratio a -> Bool

max :: Ratio a -> Ratio a -> Ratio a

min :: Ratio a -> Ratio a -> Ratio a

(Integral a, Read a) => Read (Ratio a)

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (Ratio a)

readList :: ReadS [Ratio a]

readPrec :: ReadPrec (Ratio a)

readListPrec :: ReadPrec [Ratio a]

Integral a => Real (Ratio a)

Since: base-2.0.1

Defined in GHC.Real

Methods

toRational :: Ratio a -> Rational

Integral a => RealFrac (Ratio a)

Since: base-2.0.1

Defined in GHC.Real

Methods

properFraction :: Integral b => Ratio a -> (b, Ratio a)

truncate :: Integral b => Ratio a -> b

round :: Integral b => Ratio a -> b

ceiling :: Integral b => Ratio a -> b

floor :: Integral b => Ratio a -> b

Show a => Show (Ratio a)

Since: base-2.0.1

Defined in GHC.Real

Methods

showsPrec :: Int -> Ratio a -> ShowS

show :: Ratio a -> String

showList :: [Ratio a] -> ShowS

NFData a => NFData (Ratio a)

Defined in Control.DeepSeq

Methods

rnf :: Ratio a -> ()

Hashable a => Hashable (Ratio a)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Ratio a -> Int

hash :: Ratio a -> Int

type Rational = Ratio Integer

Arbitrary-precision rational numbers, represented as a ratio of two Integer values. A rational number may be constructed using the % operator.

data IO a

A value of type IO a is a computation which, when performed, does some I/O before returning a value of type a.

There is really only one way to "perform" an I/O action: bind it to Main.main in your program. When your program is run, the I/O will be performed. It isn't possible to perform I/O from an arbitrary function, unless that function is itself in the IO monad and called at some point, directly or indirectly, from Main.main.

IO is a monad, so IO actions can be combined using either the do-notation or the >> and >>= operations from the Monad class.

Instances

Monad IO

Since: base-2.1

Defined in GHC.Base

Methods

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

(>>) :: IO a -> IO b -> IO b

return :: a -> IO a

Functor IO

Since: base-2.1

Defined in GHC.Base

Methods

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

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

MonadFail IO

Since: base-4.9.0.0

Defined in Control.Monad.Fail

Methods

fail :: String -> IO a

Applicative IO

Since: base-2.1

Defined in GHC.Base

Methods

pure :: a -> IO a

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

liftA2 :: (a -> b -> c) -> IO a -> IO b -> IO c

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

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

MonadIO IO

Since: base-4.9.0.0

Defined in Control.Monad.IO.Class

Methods

liftIO :: IO a -> IO a

Alternative IO

Since: base-4.9.0.0

Defined in GHC.Base

Methods

empty :: IO a

(<|>) :: IO a -> IO a -> IO a

some :: IO a -> IO [a]

many :: IO a -> IO [a]

MonadPlus IO

Since: base-4.9.0.0

Defined in GHC.Base

Methods

mzero :: IO a

mplus :: IO a -> IO a -> IO a

MonadThrow IO

Defined in Control.Monad.Catch

Methods

throwM :: Exception e => e -> IO a

MonadCatch IO

Defined in Control.Monad.Catch

Methods

catch :: Exception e => IO a -> (e -> IO a) -> IO a

MonadMask IO

Defined in Control.Monad.Catch

Methods

mask :: ((forall a. IO a -> IO a) -> IO b) -> IO b

uninterruptibleMask :: ((forall a. IO a -> IO a) -> IO b) -> IO b

generalBracket :: IO a -> (a -> ExitCase b -> IO c) -> (a -> IO b) -> IO (b, c)

MonadError IOException IO

Defined in Control.Monad.Error.Class

Methods

throwError :: IOException -> IO a

catchError :: IO a -> (IOException -> IO a) -> IO a

Semigroup a => Semigroup (IO a)

Since: base-4.10.0.0

Defined in GHC.Base

Methods

(<>) :: IO a -> IO a -> IO a

sconcat :: NonEmpty (IO a) -> IO a

stimes :: Integral b => b -> IO a -> IO a

Monoid a => Monoid (IO a)

Since: base-4.9.0.0

Defined in GHC.Base

Methods

mempty :: IO a

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

mconcat :: [IO a] -> IO a

Boolean bool => Boolean (IO bool)

Defined in Morley.Prelude.Boolean

Methods

(&&) :: IO bool -> IO bool -> IO bool

(||) :: IO bool -> IO bool -> IO bool

data Word

A Word is an unsigned integral type, with the same size as Int.

Instances

Bounded Word

Since: base-2.1

Defined in GHC.Enum

Methods

minBound :: Word

maxBound :: Word

Enum Word

Since: base-2.1

Defined in GHC.Enum

Methods

succ :: Word -> Word

pred :: Word -> Word

toEnum :: Int -> Word

fromEnum :: Word -> Int

enumFrom :: Word -> [Word]

enumFromThen :: Word -> Word -> [Word]

enumFromTo :: Word -> Word -> [Word]

enumFromThenTo :: Word -> Word -> Word -> [Word]

Eq Word

Defined in GHC.Classes

Methods

(==) :: Word -> Word -> Bool

(/=) :: Word -> Word -> Bool

Integral Word

Since: base-2.1

Defined in GHC.Real

Methods

quot :: Word -> Word -> Word

rem :: Word -> Word -> Word

div :: Word -> Word -> Word

mod :: Word -> Word -> Word

quotRem :: Word -> Word -> (Word, Word)

divMod :: Word -> Word -> (Word, Word)

toInteger :: Word -> Integer

Num Word

Since: base-2.1

Defined in GHC.Num

Methods

(+) :: Word -> Word -> Word

(-) :: Word -> Word -> Word

(*) :: Word -> Word -> Word

negate :: Word -> Word

abs :: Word -> Word

signum :: Word -> Word

fromInteger :: Integer -> Word

Ord Word

Defined in GHC.Classes

Methods

compare :: Word -> Word -> Ordering

(<) :: Word -> Word -> Bool

(<=) :: Word -> Word -> Bool

(>) :: Word -> Word -> Bool

(>=) :: Word -> Word -> Bool

max :: Word -> Word -> Word

min :: Word -> Word -> Word

Read Word

Since: base-4.5.0.0

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Word

readList :: ReadS [Word]

readPrec :: ReadPrec Word

readListPrec :: ReadPrec [Word]

Real Word

Since: base-2.1

Defined in GHC.Real

Methods

toRational :: Word -> Rational

Show Word

Since: base-2.1

Defined in GHC.Show

Methods

showsPrec :: Int -> Word -> ShowS

show :: Word -> String

showList :: [Word] -> ShowS

Bits Word

Since: base-2.1

Defined in Data.Bits

Methods

(.&.) :: Word -> Word -> Word

(.|.) :: Word -> Word -> Word

xor :: Word -> Word -> Word

complement :: Word -> Word

shift :: Word -> Int -> Word

rotate :: Word -> Int -> Word

zeroBits :: Word

bit :: Int -> Word

setBit :: Word -> Int -> Word

clearBit :: Word -> Int -> Word

complementBit :: Word -> Int -> Word

testBit :: Word -> Int -> Bool

bitSizeMaybe :: Word -> Maybe Int

bitSize :: Word -> Int

isSigned :: Word -> Bool

shiftL :: Word -> Int -> Word

unsafeShiftL :: Word -> Int -> Word

shiftR :: Word -> Int -> Word

unsafeShiftR :: Word -> Int -> Word

rotateL :: Word -> Int -> Word

rotateR :: Word -> Int -> Word

popCount :: Word -> Int

FiniteBits Word

Since: base-4.6.0.0

Defined in Data.Bits

Methods

finiteBitSize :: Word -> Int

countLeadingZeros :: Word -> Int

countTrailingZeros :: Word -> Int

NFData Word

Defined in Control.DeepSeq

Methods

rnf :: Word -> ()

Hashable Word

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Word -> Int

hash :: Word -> Int

Generic1 (URec Word :: k -> Type)

Since: base-4.9.0.0

Defined in GHC.Generics

Associated Types

type Rep1 (URec Word) :: k -> Type

Methods

from1 :: forall (a :: k0). URec Word a -> Rep1 (URec Word) a

to1 :: forall (a :: k0). Rep1 (URec Word) a -> URec Word a

Foldable (UWord :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => UWord m -> m

foldMap :: Monoid m => (a -> m) -> UWord a -> m

foldMap' :: Monoid m => (a -> m) -> UWord a -> m

foldr :: (a -> b -> b) -> b -> UWord a -> b

foldr' :: (a -> b -> b) -> b -> UWord a -> b

foldl :: (b -> a -> b) -> b -> UWord a -> b

foldl' :: (b -> a -> b) -> b -> UWord a -> b

foldr1 :: (a -> a -> a) -> UWord a -> a

foldl1 :: (a -> a -> a) -> UWord a -> a

toList :: UWord a -> [a]

null :: UWord a -> Bool

length :: UWord a -> Int

elem :: Eq a => a -> UWord a -> Bool

maximum :: Ord a => UWord a -> a

minimum :: Ord a => UWord a -> a

sum :: Num a => UWord a -> a

product :: Num a => UWord a -> a

Traversable (UWord :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> UWord a -> f (UWord b)

sequenceA :: Applicative f => UWord (f a) -> f (UWord a)

mapM :: Monad m => (a -> m b) -> UWord a -> m (UWord b)

sequence :: Monad m => UWord (m a) -> m (UWord a)

Functor (URec Word :: Type -> Type)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Word a -> URec Word b

(<$) :: a -> URec Word b -> URec Word a

Eq (URec Word p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

(==) :: URec Word p -> URec Word p -> Bool

(/=) :: URec Word p -> URec Word p -> Bool

Ord (URec Word p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

compare :: URec Word p -> URec Word p -> Ordering

(<) :: URec Word p -> URec Word p -> Bool

(<=) :: URec Word p -> URec Word p -> Bool

(>) :: URec Word p -> URec Word p -> Bool

(>=) :: URec Word p -> URec Word p -> Bool

max :: URec Word p -> URec Word p -> URec Word p

min :: URec Word p -> URec Word p -> URec Word p

Show (URec Word p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

showsPrec :: Int -> URec Word p -> ShowS

show :: URec Word p -> String

showList :: [URec Word p] -> ShowS

Generic (URec Word p)

Since: base-4.9.0.0

Defined in GHC.Generics

Associated Types

type Rep (URec Word p) :: Type -> Type

Methods

from :: URec Word p -> Rep (URec Word p) x

to :: Rep (URec Word p) x -> URec Word p

data URec Word (p :: k)

Used for marking occurrences of Word#

Since: base-4.9.0.0

Defined in GHC.Generics

data URec Word (p :: k) = UWord {

• uWord# :: Word#

}

type Rep1 (URec Word :: k -> Type)

Defined in GHC.Generics

type Rep1 (URec Word :: k -> Type) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UWord" 'PrefixI 'True) (S1 ('MetaSel ('Just "uWord#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UWord :: k -> Type)))

type Rep (URec Word p)

Defined in GHC.Generics

type Rep (URec Word p) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UWord" 'PrefixI 'True) (S1 ('MetaSel ('Just "uWord#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UWord :: Type -> Type)))

data Word8

8-bit unsigned integer type

Instances

Bounded Word8

Since: base-2.1

Defined in GHC.Word

Methods

minBound :: Word8

maxBound :: Word8

Enum Word8

Since: base-2.1

Defined in GHC.Word

Methods

succ :: Word8 -> Word8

pred :: Word8 -> Word8

toEnum :: Int -> Word8

fromEnum :: Word8 -> Int

enumFrom :: Word8 -> [Word8]

enumFromThen :: Word8 -> Word8 -> [Word8]

enumFromTo :: Word8 -> Word8 -> [Word8]

enumFromThenTo :: Word8 -> Word8 -> Word8 -> [Word8]

Eq Word8

Since: base-2.1

Defined in GHC.Word

Methods

(==) :: Word8 -> Word8 -> Bool

(/=) :: Word8 -> Word8 -> Bool

Integral Word8

Since: base-2.1

Defined in GHC.Word

Methods

quot :: Word8 -> Word8 -> Word8

rem :: Word8 -> Word8 -> Word8

div :: Word8 -> Word8 -> Word8

mod :: Word8 -> Word8 -> Word8

quotRem :: Word8 -> Word8 -> (Word8, Word8)

divMod :: Word8 -> Word8 -> (Word8, Word8)

toInteger :: Word8 -> Integer

Num Word8

Since: base-2.1

Defined in GHC.Word

Methods

(+) :: Word8 -> Word8 -> Word8

(-) :: Word8 -> Word8 -> Word8

(*) :: Word8 -> Word8 -> Word8

negate :: Word8 -> Word8

abs :: Word8 -> Word8

signum :: Word8 -> Word8

fromInteger :: Integer -> Word8

Ord Word8

Since: base-2.1

Defined in GHC.Word

Methods

compare :: Word8 -> Word8 -> Ordering

(<) :: Word8 -> Word8 -> Bool

(<=) :: Word8 -> Word8 -> Bool

(>) :: Word8 -> Word8 -> Bool

(>=) :: Word8 -> Word8 -> Bool

max :: Word8 -> Word8 -> Word8

min :: Word8 -> Word8 -> Word8

Read Word8

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Word8

readList :: ReadS [Word8]

readPrec :: ReadPrec Word8

readListPrec :: ReadPrec [Word8]

Real Word8

Since: base-2.1

Defined in GHC.Word

Methods

toRational :: Word8 -> Rational

Show Word8

Since: base-2.1

Defined in GHC.Word

Methods

showsPrec :: Int -> Word8 -> ShowS

show :: Word8 -> String

showList :: [Word8] -> ShowS

Ix Word8

Since: base-2.1

Defined in GHC.Word

Methods

range :: (Word8, Word8) -> [Word8]

index :: (Word8, Word8) -> Word8 -> Int

unsafeIndex :: (Word8, Word8) -> Word8 -> Int

inRange :: (Word8, Word8) -> Word8 -> Bool

rangeSize :: (Word8, Word8) -> Int

unsafeRangeSize :: (Word8, Word8) -> Int

Bits Word8

Since: base-2.1

Defined in GHC.Word

Methods

(.&.) :: Word8 -> Word8 -> Word8

(.|.) :: Word8 -> Word8 -> Word8

xor :: Word8 -> Word8 -> Word8

complement :: Word8 -> Word8

shift :: Word8 -> Int -> Word8

rotate :: Word8 -> Int -> Word8

zeroBits :: Word8

bit :: Int -> Word8

setBit :: Word8 -> Int -> Word8

clearBit :: Word8 -> Int -> Word8

complementBit :: Word8 -> Int -> Word8

testBit :: Word8 -> Int -> Bool

bitSizeMaybe :: Word8 -> Maybe Int

bitSize :: Word8 -> Int

isSigned :: Word8 -> Bool

shiftL :: Word8 -> Int -> Word8

unsafeShiftL :: Word8 -> Int -> Word8

shiftR :: Word8 -> Int -> Word8

unsafeShiftR :: Word8 -> Int -> Word8

rotateL :: Word8 -> Int -> Word8

rotateR :: Word8 -> Int -> Word8

popCount :: Word8 -> Int

FiniteBits Word8

Since: base-4.6.0.0

Defined in GHC.Word

Methods

finiteBitSize :: Word8 -> Int

countLeadingZeros :: Word8 -> Int

countTrailingZeros :: Word8 -> Int

NFData Word8

Defined in Control.DeepSeq

Methods

rnf :: Word8 -> ()

Hashable Word8

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Word8 -> Int

hash :: Word8 -> Int

data Word16

16-bit unsigned integer type

Instances

Bounded Word16

Since: base-2.1

Defined in GHC.Word

Methods

minBound :: Word16

maxBound :: Word16

Enum Word16

Since: base-2.1

Defined in GHC.Word

Methods

succ :: Word16 -> Word16

pred :: Word16 -> Word16

toEnum :: Int -> Word16

fromEnum :: Word16 -> Int

enumFrom :: Word16 -> [Word16]

enumFromThen :: Word16 -> Word16 -> [Word16]

enumFromTo :: Word16 -> Word16 -> [Word16]

enumFromThenTo :: Word16 -> Word16 -> Word16 -> [Word16]

Eq Word16

Since: base-2.1

Defined in GHC.Word

Methods

(==) :: Word16 -> Word16 -> Bool

(/=) :: Word16 -> Word16 -> Bool

Integral Word16

Since: base-2.1

Defined in GHC.Word

Methods

quot :: Word16 -> Word16 -> Word16

rem :: Word16 -> Word16 -> Word16

div :: Word16 -> Word16 -> Word16

mod :: Word16 -> Word16 -> Word16

quotRem :: Word16 -> Word16 -> (Word16, Word16)

divMod :: Word16 -> Word16 -> (Word16, Word16)

toInteger :: Word16 -> Integer

Num Word16

Since: base-2.1

Defined in GHC.Word

Methods

(+) :: Word16 -> Word16 -> Word16

(-) :: Word16 -> Word16 -> Word16

(*) :: Word16 -> Word16 -> Word16

negate :: Word16 -> Word16

abs :: Word16 -> Word16

signum :: Word16 -> Word16

fromInteger :: Integer -> Word16

Ord Word16

Since: base-2.1

Defined in GHC.Word

Methods

compare :: Word16 -> Word16 -> Ordering

(<) :: Word16 -> Word16 -> Bool

(<=) :: Word16 -> Word16 -> Bool

(>) :: Word16 -> Word16 -> Bool

(>=) :: Word16 -> Word16 -> Bool

max :: Word16 -> Word16 -> Word16

min :: Word16 -> Word16 -> Word16

Read Word16

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Word16

readList :: ReadS [Word16]

readPrec :: ReadPrec Word16

readListPrec :: ReadPrec [Word16]

Real Word16

Since: base-2.1

Defined in GHC.Word

Methods

toRational :: Word16 -> Rational

Show Word16

Since: base-2.1

Defined in GHC.Word

Methods

showsPrec :: Int -> Word16 -> ShowS

show :: Word16 -> String

showList :: [Word16] -> ShowS

Ix Word16

Since: base-2.1

Defined in GHC.Word

Methods

range :: (Word16, Word16) -> [Word16]

index :: (Word16, Word16) -> Word16 -> Int

unsafeIndex :: (Word16, Word16) -> Word16 -> Int

inRange :: (Word16, Word16) -> Word16 -> Bool

rangeSize :: (Word16, Word16) -> Int

unsafeRangeSize :: (Word16, Word16) -> Int

Bits Word16

Since: base-2.1

Defined in GHC.Word

Methods

(.&.) :: Word16 -> Word16 -> Word16

(.|.) :: Word16 -> Word16 -> Word16

xor :: Word16 -> Word16 -> Word16

complement :: Word16 -> Word16

shift :: Word16 -> Int -> Word16

rotate :: Word16 -> Int -> Word16

zeroBits :: Word16

bit :: Int -> Word16

setBit :: Word16 -> Int -> Word16

clearBit :: Word16 -> Int -> Word16

complementBit :: Word16 -> Int -> Word16

testBit :: Word16 -> Int -> Bool

bitSizeMaybe :: Word16 -> Maybe Int

bitSize :: Word16 -> Int

isSigned :: Word16 -> Bool

shiftL :: Word16 -> Int -> Word16

unsafeShiftL :: Word16 -> Int -> Word16

shiftR :: Word16 -> Int -> Word16

unsafeShiftR :: Word16 -> Int -> Word16

rotateL :: Word16 -> Int -> Word16

rotateR :: Word16 -> Int -> Word16

popCount :: Word16 -> Int

FiniteBits Word16

Since: base-4.6.0.0

Defined in GHC.Word

Methods

finiteBitSize :: Word16 -> Int

countLeadingZeros :: Word16 -> Int

countTrailingZeros :: Word16 -> Int

NFData Word16

Defined in Control.DeepSeq

Methods

rnf :: Word16 -> ()

Hashable Word16

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Word16 -> Int

hash :: Word16 -> Int

data Word32

32-bit unsigned integer type

Instances

Bounded Word32

Since: base-2.1

Defined in GHC.Word

Methods

minBound :: Word32

maxBound :: Word32

Enum Word32

Since: base-2.1

Defined in GHC.Word

Methods

succ :: Word32 -> Word32

pred :: Word32 -> Word32

toEnum :: Int -> Word32

fromEnum :: Word32 -> Int

enumFrom :: Word32 -> [Word32]

enumFromThen :: Word32 -> Word32 -> [Word32]

enumFromTo :: Word32 -> Word32 -> [Word32]

enumFromThenTo :: Word32 -> Word32 -> Word32 -> [Word32]

Eq Word32

Since: base-2.1

Defined in GHC.Word

Methods

(==) :: Word32 -> Word32 -> Bool

(/=) :: Word32 -> Word32 -> Bool

Integral Word32

Since: base-2.1

Defined in GHC.Word

Methods

quot :: Word32 -> Word32 -> Word32

rem :: Word32 -> Word32 -> Word32

div :: Word32 -> Word32 -> Word32

mod :: Word32 -> Word32 -> Word32

quotRem :: Word32 -> Word32 -> (Word32, Word32)

divMod :: Word32 -> Word32 -> (Word32, Word32)

toInteger :: Word32 -> Integer

Num Word32

Since: base-2.1

Defined in GHC.Word

Methods

(+) :: Word32 -> Word32 -> Word32

(-) :: Word32 -> Word32 -> Word32

(*) :: Word32 -> Word32 -> Word32

negate :: Word32 -> Word32

abs :: Word32 -> Word32

signum :: Word32 -> Word32

fromInteger :: Integer -> Word32

Ord Word32

Since: base-2.1

Defined in GHC.Word

Methods

compare :: Word32 -> Word32 -> Ordering

(<) :: Word32 -> Word32 -> Bool

(<=) :: Word32 -> Word32 -> Bool

(>) :: Word32 -> Word32 -> Bool

(>=) :: Word32 -> Word32 -> Bool

max :: Word32 -> Word32 -> Word32

min :: Word32 -> Word32 -> Word32

Read Word32

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Word32

readList :: ReadS [Word32]

readPrec :: ReadPrec Word32

readListPrec :: ReadPrec [Word32]

Real Word32

Since: base-2.1

Defined in GHC.Word

Methods

toRational :: Word32 -> Rational

Show Word32

Since: base-2.1

Defined in GHC.Word

Methods

showsPrec :: Int -> Word32 -> ShowS

show :: Word32 -> String

showList :: [Word32] -> ShowS

Ix Word32

Since: base-2.1

Defined in GHC.Word

Methods

range :: (Word32, Word32) -> [Word32]

index :: (Word32, Word32) -> Word32 -> Int

unsafeIndex :: (Word32, Word32) -> Word32 -> Int

inRange :: (Word32, Word32) -> Word32 -> Bool

rangeSize :: (Word32, Word32) -> Int

unsafeRangeSize :: (Word32, Word32) -> Int

Bits Word32

Since: base-2.1

Defined in GHC.Word

Methods

(.&.) :: Word32 -> Word32 -> Word32

(.|.) :: Word32 -> Word32 -> Word32

xor :: Word32 -> Word32 -> Word32

complement :: Word32 -> Word32

shift :: Word32 -> Int -> Word32

rotate :: Word32 -> Int -> Word32

zeroBits :: Word32

bit :: Int -> Word32

setBit :: Word32 -> Int -> Word32

clearBit :: Word32 -> Int -> Word32

complementBit :: Word32 -> Int -> Word32

testBit :: Word32 -> Int -> Bool

bitSizeMaybe :: Word32 -> Maybe Int

bitSize :: Word32 -> Int

isSigned :: Word32 -> Bool

shiftL :: Word32 -> Int -> Word32

unsafeShiftL :: Word32 -> Int -> Word32

shiftR :: Word32 -> Int -> Word32

unsafeShiftR :: Word32 -> Int -> Word32

rotateL :: Word32 -> Int -> Word32

rotateR :: Word32 -> Int -> Word32

popCount :: Word32 -> Int

FiniteBits Word32

Since: base-4.6.0.0

Defined in GHC.Word

Methods

finiteBitSize :: Word32 -> Int

countLeadingZeros :: Word32 -> Int

countTrailingZeros :: Word32 -> Int

NFData Word32

Defined in Control.DeepSeq

Methods

rnf :: Word32 -> ()

Hashable Word32

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Word32 -> Int

hash :: Word32 -> Int

data Word64

64-bit unsigned integer type

Instances

Bounded Word64

Since: base-2.1

Defined in GHC.Word

Methods

minBound :: Word64

maxBound :: Word64

Enum Word64

Since: base-2.1

Defined in GHC.Word

Methods

succ :: Word64 -> Word64

pred :: Word64 -> Word64

toEnum :: Int -> Word64

fromEnum :: Word64 -> Int

enumFrom :: Word64 -> [Word64]

enumFromThen :: Word64 -> Word64 -> [Word64]

enumFromTo :: Word64 -> Word64 -> [Word64]

enumFromThenTo :: Word64 -> Word64 -> Word64 -> [Word64]

Eq Word64

Since: base-2.1

Defined in GHC.Word

Methods

(==) :: Word64 -> Word64 -> Bool

(/=) :: Word64 -> Word64 -> Bool

Integral Word64

Since: base-2.1

Defined in GHC.Word

Methods

quot :: Word64 -> Word64 -> Word64

rem :: Word64 -> Word64 -> Word64

div :: Word64 -> Word64 -> Word64

mod :: Word64 -> Word64 -> Word64

quotRem :: Word64 -> Word64 -> (Word64, Word64)

divMod :: Word64 -> Word64 -> (Word64, Word64)

toInteger :: Word64 -> Integer

Num Word64

Since: base-2.1

Defined in GHC.Word

Methods

(+) :: Word64 -> Word64 -> Word64

(-) :: Word64 -> Word64 -> Word64

(*) :: Word64 -> Word64 -> Word64

negate :: Word64 -> Word64

abs :: Word64 -> Word64

signum :: Word64 -> Word64

fromInteger :: Integer -> Word64

Ord Word64

Since: base-2.1

Defined in GHC.Word

Methods

compare :: Word64 -> Word64 -> Ordering

(<) :: Word64 -> Word64 -> Bool

(<=) :: Word64 -> Word64 -> Bool

(>) :: Word64 -> Word64 -> Bool

(>=) :: Word64 -> Word64 -> Bool

max :: Word64 -> Word64 -> Word64

min :: Word64 -> Word64 -> Word64

Read Word64

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Word64

readList :: ReadS [Word64]

readPrec :: ReadPrec Word64

readListPrec :: ReadPrec [Word64]

Real Word64

Since: base-2.1

Defined in GHC.Word

Methods

toRational :: Word64 -> Rational

Show Word64

Since: base-2.1

Defined in GHC.Word

Methods

showsPrec :: Int -> Word64 -> ShowS

show :: Word64 -> String

showList :: [Word64] -> ShowS

Ix Word64

Since: base-2.1

Defined in GHC.Word

Methods

range :: (Word64, Word64) -> [Word64]

index :: (Word64, Word64) -> Word64 -> Int

unsafeIndex :: (Word64, Word64) -> Word64 -> Int

inRange :: (Word64, Word64) -> Word64 -> Bool

rangeSize :: (Word64, Word64) -> Int

unsafeRangeSize :: (Word64, Word64) -> Int

Bits Word64

Since: base-2.1

Defined in GHC.Word

Methods

(.&.) :: Word64 -> Word64 -> Word64

(.|.) :: Word64 -> Word64 -> Word64

xor :: Word64 -> Word64 -> Word64

complement :: Word64 -> Word64

shift :: Word64 -> Int -> Word64

rotate :: Word64 -> Int -> Word64

zeroBits :: Word64

bit :: Int -> Word64

setBit :: Word64 -> Int -> Word64

clearBit :: Word64 -> Int -> Word64

complementBit :: Word64 -> Int -> Word64

testBit :: Word64 -> Int -> Bool

bitSizeMaybe :: Word64 -> Maybe Int

bitSize :: Word64 -> Int

isSigned :: Word64 -> Bool

shiftL :: Word64 -> Int -> Word64

unsafeShiftL :: Word64 -> Int -> Word64

shiftR :: Word64 -> Int -> Word64

unsafeShiftR :: Word64 -> Int -> Word64

rotateL :: Word64 -> Int -> Word64

rotateR :: Word64 -> Int -> Word64

popCount :: Word64 -> Int

FiniteBits Word64

Since: base-4.6.0.0

Defined in GHC.Word

Methods

finiteBitSize :: Word64 -> Int

countLeadingZeros :: Word64 -> Int

countTrailingZeros :: Word64 -> Int

NFData Word64

Defined in Control.DeepSeq

Methods

rnf :: Word64 -> ()

Hashable Word64

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Word64 -> Int

hash :: Word64 -> Int

data Ptr a

A value of type Ptr a represents a pointer to an object, or an array of objects, which may be marshalled to or from Haskell values of type a.

The type a will often be an instance of class Storable which provides the marshalling operations. However this is not essential, and you can provide your own operations to access the pointer. For example you might write small foreign functions to get or set the fields of a C struct.

Instances

NFData1 Ptr

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Ptr a -> ()

Generic1 (URec (Ptr ()) :: k -> Type)

Since: base-4.9.0.0

Defined in GHC.Generics

Associated Types

type Rep1 (URec (Ptr ())) :: k -> Type

Methods

from1 :: forall (a :: k0). URec (Ptr ()) a -> Rep1 (URec (Ptr ())) a

to1 :: forall (a :: k0). Rep1 (URec (Ptr ())) a -> URec (Ptr ()) a

Eq (Ptr a)

Since: base-2.1

Defined in GHC.Ptr

Methods

(==) :: Ptr a -> Ptr a -> Bool

(/=) :: Ptr a -> Ptr a -> Bool

Ord (Ptr a)

Since: base-2.1

Defined in GHC.Ptr

Methods

compare :: Ptr a -> Ptr a -> Ordering

(<) :: Ptr a -> Ptr a -> Bool

(<=) :: Ptr a -> Ptr a -> Bool

(>) :: Ptr a -> Ptr a -> Bool

(>=) :: Ptr a -> Ptr a -> Bool

max :: Ptr a -> Ptr a -> Ptr a

min :: Ptr a -> Ptr a -> Ptr a

Show (Ptr a)

Since: base-2.1

Defined in GHC.Ptr

Methods

showsPrec :: Int -> Ptr a -> ShowS

show :: Ptr a -> String

showList :: [Ptr a] -> ShowS

Foldable (UAddr :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => UAddr m -> m

foldMap :: Monoid m => (a -> m) -> UAddr a -> m

foldMap' :: Monoid m => (a -> m) -> UAddr a -> m

foldr :: (a -> b -> b) -> b -> UAddr a -> b

foldr' :: (a -> b -> b) -> b -> UAddr a -> b

foldl :: (b -> a -> b) -> b -> UAddr a -> b

foldl' :: (b -> a -> b) -> b -> UAddr a -> b

foldr1 :: (a -> a -> a) -> UAddr a -> a

foldl1 :: (a -> a -> a) -> UAddr a -> a

toList :: UAddr a -> [a]

null :: UAddr a -> Bool

length :: UAddr a -> Int

elem :: Eq a => a -> UAddr a -> Bool

maximum :: Ord a => UAddr a -> a

minimum :: Ord a => UAddr a -> a

sum :: Num a => UAddr a -> a

product :: Num a => UAddr a -> a

Traversable (UAddr :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> UAddr a -> f (UAddr b)

sequenceA :: Applicative f => UAddr (f a) -> f (UAddr a)

mapM :: Monad m => (a -> m b) -> UAddr a -> m (UAddr b)

sequence :: Monad m => UAddr (m a) -> m (UAddr a)

NFData (Ptr a)

Since: deepseq-1.4.2.0

Defined in Control.DeepSeq

Methods

rnf :: Ptr a -> ()

Hashable (Ptr a)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Ptr a -> Int

hash :: Ptr a -> Int

Functor (URec (Ptr ()) :: Type -> Type)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec (Ptr ()) a -> URec (Ptr ()) b

(<$) :: a -> URec (Ptr ()) b -> URec (Ptr ()) a

Eq (URec (Ptr ()) p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

(==) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool

(/=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool

Ord (URec (Ptr ()) p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

compare :: URec (Ptr ()) p -> URec (Ptr ()) p -> Ordering

(<) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool

(<=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool

(>) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool

(>=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool

max :: URec (Ptr ()) p -> URec (Ptr ()) p -> URec (Ptr ()) p

min :: URec (Ptr ()) p -> URec (Ptr ()) p -> URec (Ptr ()) p

Generic (URec (Ptr ()) p)

Since: base-4.9.0.0

Defined in GHC.Generics

Associated Types

type Rep (URec (Ptr ()) p) :: Type -> Type

Methods

from :: URec (Ptr ()) p -> Rep (URec (Ptr ()) p) x

to :: Rep (URec (Ptr ()) p) x -> URec (Ptr ()) p

data URec (Ptr ()) (p :: k)

Used for marking occurrences of Addr#

Since: base-4.9.0.0

Defined in GHC.Generics

data URec (Ptr ()) (p :: k) = UAddr {

• uAddr# :: Addr#

}

type Rep1 (URec (Ptr ()) :: k -> Type)

Defined in GHC.Generics

type Rep1 (URec (Ptr ()) :: k -> Type) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UAddr" 'PrefixI 'True) (S1 ('MetaSel ('Just "uAddr#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UAddr :: k -> Type)))

type Rep (URec (Ptr ()) p)

Defined in GHC.Generics

type Rep (URec (Ptr ()) p) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UAddr" 'PrefixI 'True) (S1 ('MetaSel ('Just "uAddr#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UAddr :: Type -> Type)))

data FunPtr a

A value of type FunPtr a is a pointer to a function callable from foreign code. The type a will normally be a foreign type, a function type with zero or more arguments where

• the argument types are marshallable foreign types, i.e. Char, Int, Double, Float, Bool, Int8, Int16, Int32, Int64, Word8, Word16, Word32, Word64, Ptr a, FunPtr a, StablePtr a or a renaming of any of these using newtype.
• the return type is either a marshallable foreign type or has the form IO t where t is a marshallable foreign type or ().

A value of type FunPtr a may be a pointer to a foreign function, either returned by another foreign function or imported with a a static address import like

foreign import ccall "stdlib.h &free"
  p_free :: FunPtr (Ptr a -> IO ())

or a pointer to a Haskell function created using a wrapper stub declared to produce a FunPtr of the correct type. For example:

type Compare = Int -> Int -> Bool
foreign import ccall "wrapper"
  mkCompare :: Compare -> IO (FunPtr Compare)

Calls to wrapper stubs like mkCompare allocate storage, which should be released with freeHaskellFunPtr when no longer required.

To convert FunPtr values to corresponding Haskell functions, one can define a dynamic stub for the specific foreign type, e.g.

type IntFunction = CInt -> IO ()
foreign import ccall "dynamic"
  mkFun :: FunPtr IntFunction -> IntFunction

Instances

NFData1 FunPtr

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> FunPtr a -> ()

Eq (FunPtr a)

Defined in GHC.Ptr

Methods

(==) :: FunPtr a -> FunPtr a -> Bool

(/=) :: FunPtr a -> FunPtr a -> Bool

Ord (FunPtr a)

Defined in GHC.Ptr

Methods

compare :: FunPtr a -> FunPtr a -> Ordering

(<) :: FunPtr a -> FunPtr a -> Bool

(<=) :: FunPtr a -> FunPtr a -> Bool

(>) :: FunPtr a -> FunPtr a -> Bool

(>=) :: FunPtr a -> FunPtr a -> Bool

max :: FunPtr a -> FunPtr a -> FunPtr a

min :: FunPtr a -> FunPtr a -> FunPtr a

Show (FunPtr a)

Since: base-2.1

Defined in GHC.Ptr

Methods

showsPrec :: Int -> FunPtr a -> ShowS

show :: FunPtr a -> String

showList :: [FunPtr a] -> ShowS

NFData (FunPtr a)

Since: deepseq-1.4.2.0

Defined in Control.DeepSeq

Methods

rnf :: FunPtr a -> ()

Hashable (FunPtr a)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> FunPtr a -> Int

hash :: FunPtr a -> Int

data Either a b

The Either type represents values with two possibilities: a value of type Either a b is either Left a or Right b.

The Either type is sometimes used to represent a value which is either correct or an error; by convention, the Left constructor is used to hold an error value and the Right constructor is used to hold a correct value (mnemonic: "right" also means "correct").

Examples

The type Either String Int is the type of values which can be either a String or an Int. The Left constructor can be used only on Strings, and the Right constructor can be used only on Ints:

>>> let s = Left "foo" :: Either String Int
>>> s
Left "foo"
>>> let n = Right 3 :: Either String Int
>>> n
Right 3
>>> :type s
s :: Either String Int
>>> :type n
n :: Either String Int

The fmap from our Functor instance will ignore Left values, but will apply the supplied function to values contained in a Right:

>>> let s = Left "foo" :: Either String Int
>>> let n = Right 3 :: Either String Int
>>> fmap (*2) s
Left "foo"
>>> fmap (*2) n
Right 6

The Monad instance for Either allows us to chain together multiple actions which may fail, and fail overall if any of the individual steps failed. First we'll write a function that can either parse an Int from a Char, or fail.

>>> import Data.Char ( digitToInt, isDigit )
>>> :{
    let parseEither :: Char -> Either String Int
        parseEither c
          | isDigit c = Right (digitToInt c)
          | otherwise = Left "parse error"
>>> :}

The following should work, since both '1' and '2' can be parsed as Ints.

>>> :{
    let parseMultiple :: Either String Int
        parseMultiple = do
          x <- parseEither '1'
          y <- parseEither '2'
          return (x + y)
>>> :}

>>> parseMultiple
Right 3

But the following should fail overall, since the first operation where we attempt to parse 'm' as an Int will fail:

>>> :{
    let parseMultiple :: Either String Int
        parseMultiple = do
          x <- parseEither 'm'
          y <- parseEither '2'
          return (x + y)
>>> :}

>>> parseMultiple
Left "parse error"

Constructors

Left a

Right b

Instances

Bifunctor Either

Since: base-4.8.0.0

Defined in Data.Bifunctor

Methods

bimap :: (a -> b) -> (c -> d) -> Either a c -> Either b d

first :: (a -> b) -> Either a c -> Either b c

second :: (b -> c) -> Either a b -> Either a c

NFData2 Either

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

liftRnf2 :: (a -> ()) -> (b -> ()) -> Either a b -> ()

Hashable2 Either

Defined in Data.Hashable.Class

Methods

liftHashWithSalt2 :: (Int -> a -> Int) -> (Int -> b -> Int) -> Int -> Either a b -> Int

MonadError e (Either e)

Defined in Control.Monad.Error.Class

Methods

throwError :: e -> Either e a

catchError :: Either e a -> (e -> Either e a) -> Either e a

Monad (Either e)

Since: base-4.4.0.0

Defined in Data.Either

Methods

(>>=) :: Either e a -> (a -> Either e b) -> Either e b

(>>) :: Either e a -> Either e b -> Either e b

return :: a -> Either e a

Functor (Either a)

Since: base-3.0

Defined in Data.Either

Methods

fmap :: (a0 -> b) -> Either a a0 -> Either a b

(<$) :: a0 -> Either a b -> Either a a0

Applicative (Either e)

Since: base-3.0

Defined in Data.Either

Methods

pure :: a -> Either e a

(<*>) :: Either e (a -> b) -> Either e a -> Either e b

liftA2 :: (a -> b -> c) -> Either e a -> Either e b -> Either e c

(*>) :: Either e a -> Either e b -> Either e b

(<*) :: Either e a -> Either e b -> Either e a

Foldable (Either a)

Since: base-4.7.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => Either a m -> m

foldMap :: Monoid m => (a0 -> m) -> Either a a0 -> m

foldMap' :: Monoid m => (a0 -> m) -> Either a a0 -> m

foldr :: (a0 -> b -> b) -> b -> Either a a0 -> b

foldr' :: (a0 -> b -> b) -> b -> Either a a0 -> b

foldl :: (b -> a0 -> b) -> b -> Either a a0 -> b

foldl' :: (b -> a0 -> b) -> b -> Either a a0 -> b

foldr1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0

foldl1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0

toList :: Either a a0 -> [a0]

null :: Either a a0 -> Bool

length :: Either a a0 -> Int

elem :: Eq a0 => a0 -> Either a a0 -> Bool

maximum :: Ord a0 => Either a a0 -> a0

minimum :: Ord a0 => Either a a0 -> a0

sum :: Num a0 => Either a a0 -> a0

product :: Num a0 => Either a a0 -> a0

Traversable (Either a)

Since: base-4.7.0.0

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => Either a (f a0) -> f (Either a a0)

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

sequence :: Monad m => Either a (m a0) -> m (Either a a0)

NFData a => NFData1 (Either a)

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

liftRnf :: (a0 -> ()) -> Either a a0 -> ()

e ~ SomeException => MonadThrow (Either e)

Defined in Control.Monad.Catch

Methods

throwM :: Exception e0 => e0 -> Either e a

e ~ SomeException => MonadCatch (Either e)

Since: exceptions-0.8.3

Defined in Control.Monad.Catch

Methods

catch :: Exception e0 => Either e a -> (e0 -> Either e a) -> Either e a

e ~ SomeException => MonadMask (Either e)

Since: exceptions-0.8.3

Defined in Control.Monad.Catch

Methods

mask :: ((forall a. Either e a -> Either e a) -> Either e b) -> Either e b

uninterruptibleMask :: ((forall a. Either e a -> Either e a) -> Either e b) -> Either e b

generalBracket :: Either e a -> (a -> ExitCase b -> Either e c) -> (a -> Either e b) -> Either e (b, c)

Hashable a => Hashable1 (Either a)

Defined in Data.Hashable.Class

Methods

liftHashWithSalt :: (Int -> a0 -> Int) -> Int -> Either a a0 -> Int

Generic1 (Either a :: Type -> Type)

Since: base-4.6.0.0

Defined in GHC.Generics

Associated Types

type Rep1 (Either a) :: k -> Type

Methods

from1 :: forall (a0 :: k). Either a a0 -> Rep1 (Either a) a0

to1 :: forall (a0 :: k). Rep1 (Either a) a0 -> Either a a0

(Eq a, Eq b) => Eq (Either a b)

Since: base-2.1

Defined in Data.Either

Methods

(==) :: Either a b -> Either a b -> Bool

(/=) :: Either a b -> Either a b -> Bool

(Ord a, Ord b) => Ord (Either a b)

Since: base-2.1

Defined in Data.Either

Methods

compare :: Either a b -> Either a b -> Ordering

(<) :: Either a b -> Either a b -> Bool

(<=) :: Either a b -> Either a b -> Bool

(>) :: Either a b -> Either a b -> Bool

(>=) :: Either a b -> Either a b -> Bool

max :: Either a b -> Either a b -> Either a b

min :: Either a b -> Either a b -> Either a b

(Read a, Read b) => Read (Either a b)

Since: base-3.0

Defined in Data.Either

Methods

readsPrec :: Int -> ReadS (Either a b)

readList :: ReadS [Either a b]

readPrec :: ReadPrec (Either a b)

readListPrec :: ReadPrec [Either a b]

(Show a, Show b) => Show (Either a b)

Since: base-3.0

Defined in Data.Either

Methods

showsPrec :: Int -> Either a b -> ShowS

show :: Either a b -> String

showList :: [Either a b] -> ShowS

Generic (Either a b)

Since: base-4.6.0.0

Defined in GHC.Generics

Associated Types

type Rep (Either a b) :: Type -> Type

Methods

from :: Either a b -> Rep (Either a b) x

to :: Rep (Either a b) x -> Either a b

Semigroup (Either a b)

Since: base-4.9.0.0

Defined in Data.Either

Methods

(<>) :: Either a b -> Either a b -> Either a b

sconcat :: NonEmpty (Either a b) -> Either a b

stimes :: Integral b0 => b0 -> Either a b -> Either a b

(NFData a, NFData b) => NFData (Either a b)

Defined in Control.DeepSeq

Methods

rnf :: Either a b -> ()

(Hashable a, Hashable b) => Hashable (Either a b)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Either a b -> Int

hash :: Either a b -> Int

(TypeError (DisallowInstance "Either") :: Constraint) => Container (Either a b)

Defined in Universum.Container.Class

Associated Types

type Element (Either a b)

Methods

toList :: Either a b -> [Element (Either a b)]

null :: Either a b -> Bool

foldr :: (Element (Either a b) -> b0 -> b0) -> b0 -> Either a b -> b0

foldl :: (b0 -> Element (Either a b) -> b0) -> b0 -> Either a b -> b0

foldl' :: (b0 -> Element (Either a b) -> b0) -> b0 -> Either a b -> b0

length :: Either a b -> Int

elem :: Element (Either a b) -> Either a b -> Bool

maximum :: Either a b -> Element (Either a b)

minimum :: Either a b -> Element (Either a b)

foldMap :: Monoid m => (Element (Either a b) -> m) -> Either a b -> m

fold :: Either a b -> Element (Either a b)

foldr' :: (Element (Either a b) -> b0 -> b0) -> b0 -> Either a b -> b0

foldr1 :: (Element (Either a b) -> Element (Either a b) -> Element (Either a b)) -> Either a b -> Element (Either a b)

foldl1 :: (Element (Either a b) -> Element (Either a b) -> Element (Either a b)) -> Either a b -> Element (Either a b)

notElem :: Element (Either a b) -> Either a b -> Bool

all :: (Element (Either a b) -> Bool) -> Either a b -> Bool

any :: (Element (Either a b) -> Bool) -> Either a b -> Bool

and :: Either a b -> Bool

or :: Either a b -> Bool

find :: (Element (Either a b) -> Bool) -> Either a b -> Maybe (Element (Either a b))

safeHead :: Either a b -> Maybe (Element (Either a b))

(a ~ a', b ~ b') => Each (Either a a') (Either b b') a b

Since: microlens-0.4.11

Defined in Lens.Micro.Internal

Methods

each :: Traversal (Either a a') (Either b b') a b

type Rep1 (Either a :: Type -> Type)

Defined in GHC.Generics

type Rep1 (Either a :: Type -> Type) = D1 ('MetaData "Either" "Data.Either" "base" 'False) (C1 ('MetaCons "Left" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)) :+: C1 ('MetaCons "Right" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

type Rep (Either a b)

Defined in GHC.Generics

type Rep (Either a b) = D1 ('MetaData "Either" "Data.Either" "base" 'False) (C1 ('MetaCons "Left" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)) :+: C1 ('MetaCons "Right" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b)))

type Element (Either a b)

Defined in Universum.Container.Class

type Element (Either a b) = ElementDefault (Either a b)

type Type = Type

The kind of types with lifted values. For example Int :: Type.

data Constraint

The kind of constraints, like Show a

type family CmpNat (a :: Nat) (b :: Nat) :: Ordering where ...

Comparison of type-level naturals, as a function.

Since: base-4.7.0.0

class a ~R# b => Coercible (a :: k) (b :: k)

Coercible is a two-parameter class that has instances for types a and b if the compiler can infer that they have the same representation. This class does not have regular instances; instead they are created on-the-fly during type-checking. Trying to manually declare an instance of Coercible is an error.

Nevertheless one can pretend that the following three kinds of instances exist. First, as a trivial base-case:

instance Coercible a a

Furthermore, for every type constructor there is an instance that allows to coerce under the type constructor. For example, let D be a prototypical type constructor (data or newtype) with three type arguments, which have roles nominal, representational resp. phantom. Then there is an instance of the form

instance Coercible b b' => Coercible (D a b c) (D a b' c')

Note that the nominal type arguments are equal, the representational type arguments can differ, but need to have a Coercible instance themself, and the phantom type arguments can be changed arbitrarily.

The third kind of instance exists for every newtype NT = MkNT T and comes in two variants, namely

instance Coercible a T => Coercible a NT

instance Coercible T b => Coercible NT b

This instance is only usable if the constructor MkNT is in scope.

If, as a library author of a type constructor like Set a, you want to prevent a user of your module to write coerce :: Set T -> Set NT, you need to set the role of Set's type parameter to nominal, by writing

type role Set nominal

For more details about this feature, please refer to Safe Coercions by Joachim Breitner, Richard A. Eisenberg, Simon Peyton Jones and Stephanie Weirich.

Since: ghc-prim-4.7.0.0

data CallStack

CallStacks are a lightweight method of obtaining a partial call-stack at any point in the program.

A function can request its call-site with the HasCallStack constraint. For example, we can define

putStrLnWithCallStack :: HasCallStack => String -> IO ()

as a variant of putStrLn that will get its call-site and print it, along with the string given as argument. We can access the call-stack inside putStrLnWithCallStack with callStack.

putStrLnWithCallStack :: HasCallStack => String -> IO ()
putStrLnWithCallStack msg = do
  putStrLn msg
  putStrLn (prettyCallStack callStack)

Thus, if we call putStrLnWithCallStack we will get a formatted call-stack alongside our string.

>>> putStrLnWithCallStack "hello"
hello
CallStack (from HasCallStack):
  putStrLnWithCallStack, called at <interactive>:2:1 in interactive:Ghci1

GHC solves HasCallStack constraints in three steps:

1. If there is a CallStack in scope -- i.e. the enclosing function has a HasCallStack constraint -- GHC will append the new call-site to the existing CallStack.
2. If there is no CallStack in scope -- e.g. in the GHCi session above -- and the enclosing definition does not have an explicit type signature, GHC will infer a HasCallStack constraint for the enclosing definition (subject to the monomorphism restriction).
3. If there is no CallStack in scope and the enclosing definition has an explicit type signature, GHC will solve the HasCallStack constraint for the singleton CallStack containing just the current call-site.

CallStacks do not interact with the RTS and do not require compilation with -prof. On the other hand, as they are built up explicitly via the HasCallStack constraints, they will generally not contain as much information as the simulated call-stacks maintained by the RTS.

A CallStack is a [(String, SrcLoc)]. The String is the name of function that was called, the SrcLoc is the call-site. The list is ordered with the most recently called function at the head.

NOTE: The intrepid user may notice that HasCallStack is just an alias for an implicit parameter ?callStack :: CallStack. This is an implementation detail and should not be considered part of the CallStack API, we may decide to change the implementation in the future.

Since: base-4.8.1.0

Instances

IsList CallStack

Be aware that 'fromList . toList = id' only for unfrozen CallStacks, since toList removes frozenness information.

Since: base-4.9.0.0

Defined in GHC.Exts

Associated Types

type Item CallStack

Methods

fromList :: [Item CallStack] -> CallStack

fromListN :: Int -> [Item CallStack] -> CallStack

toList :: CallStack -> [Item CallStack]

Show CallStack

Since: base-4.9.0.0

Defined in GHC.Show

Methods

showsPrec :: Int -> CallStack -> ShowS

show :: CallStack -> String

showList :: [CallStack] -> ShowS

NFData CallStack

Since: deepseq-1.4.2.0

Defined in Control.DeepSeq

Methods

rnf :: CallStack -> ()

type Item CallStack

Defined in GHC.Exts

type Item CallStack = (String, SrcLoc)

id :: a -> a

Identity function.

id x = x

either :: (a -> c) -> (b -> c) -> Either a b -> c

Case analysis for the Either type. If the value is Left a, apply the first function to a; if it is Right b, apply the second function to b.

Examples

We create two values of type Either String Int, one using the Left constructor and another using the Right constructor. Then we apply "either" the length function (if we have a String) or the "times-two" function (if we have an Int):

>>> let s = Left "foo" :: Either String Int
>>> let n = Right 3 :: Either String Int
>>> either length (*2) s
3
>>> either length (*2) n
6

class Monad m => MonadReader r (m :: Type -> Type) | m -> r where

See examples in Control.Monad.Reader. Note, the partially applied function type (->) r is a simple reader monad. See the instance declaration below.

Minimal complete definition

(ask | reader), local

Methods

ask :: m r

Retrieves the monad environment.

local

Arguments

:: (r -> r)

The function to modify the environment.

-> m a

Reader to run in the modified environment.

-> m a

Executes a computation in a modified environment.

reader

Arguments

:: (r -> a)

The selector function to apply to the environment.

-> m a

Retrieves a function of the current environment.

Instances

MonadReader r m => MonadReader r (MaybeT m)

Defined in Control.Monad.Reader.Class

Methods

ask :: MaybeT m r

local :: (r -> r) -> MaybeT m a -> MaybeT m a

reader :: (r -> a) -> MaybeT m a

MonadReader r m => MonadReader r (ListT m)

Defined in Control.Monad.Reader.Class

Methods

ask :: ListT m r

local :: (r -> r) -> ListT m a -> ListT m a

reader :: (r -> a) -> ListT m a

MonadReader s (ReifiedGetter s)

Defined in Control.Lens.Reified

Methods

ask :: ReifiedGetter s s

local :: (s -> s) -> ReifiedGetter s a -> ReifiedGetter s a

reader :: (s -> a) -> ReifiedGetter s a

MonadReader s (ReifiedFold s)

Defined in Control.Lens.Reified

Methods

ask :: ReifiedFold s s

local :: (s -> s) -> ReifiedFold s a -> ReifiedFold s a

reader :: (s -> a) -> ReifiedFold s a

(Functor m, MonadReader e m) => MonadReader e (Free m)

Defined in Control.Monad.Free

Methods

ask :: Free m e

local :: (e -> e) -> Free m a -> Free m a

reader :: (e -> a) -> Free m a

(Representable f, Rep f ~ a) => MonadReader a (Co f)

Defined in Data.Functor.Rep

Methods

ask :: Co f a

local :: (a -> a) -> Co f a0 -> Co f a0

reader :: (a -> a0) -> Co f a0

(Monoid w, MonadReader r m) => MonadReader r (WriterT w m)

Defined in Control.Monad.Reader.Class

Methods

ask :: WriterT w m r

local :: (r -> r) -> WriterT w m a -> WriterT w m a

reader :: (r -> a) -> WriterT w m a

(Monoid w, MonadReader r m) => MonadReader r (WriterT w m)

Defined in Control.Monad.Reader.Class

Methods

ask :: WriterT w m r

local :: (r -> r) -> WriterT w m a -> WriterT w m a

reader :: (r -> a) -> WriterT w m a

MonadReader r m => MonadReader r (StateT s m)

Defined in Control.Monad.Reader.Class

Methods

ask :: StateT s m r

local :: (r -> r) -> StateT s m a -> StateT s m a

reader :: (r -> a) -> StateT s m a

MonadReader r m => MonadReader r (StateT s m)

Defined in Control.Monad.Reader.Class

Methods

ask :: StateT s m r

local :: (r -> r) -> StateT s m a -> StateT s m a

reader :: (r -> a) -> StateT s m a

Monad m => MonadReader r (ReaderT r m)

Defined in Control.Monad.Reader.Class

Methods

ask :: ReaderT r m r

local :: (r -> r) -> ReaderT r m a -> ReaderT r m a

reader :: (r -> a) -> ReaderT r m a

MonadReader r m => MonadReader r (IdentityT m)

Defined in Control.Monad.Reader.Class

Methods

ask :: IdentityT m r

local :: (r -> r) -> IdentityT m a -> IdentityT m a

reader :: (r -> a) -> IdentityT m a

MonadReader r m => MonadReader r (ExceptT e m)

Since: mtl-2.2

Defined in Control.Monad.Reader.Class

Methods

ask :: ExceptT e m r

local :: (r -> r) -> ExceptT e m a -> ExceptT e m a

reader :: (r -> a) -> ExceptT e m a

(Error e, MonadReader r m) => MonadReader r (ErrorT e m)

Defined in Control.Monad.Reader.Class

Methods

ask :: ErrorT e m r

local :: (r -> r) -> ErrorT e m a -> ErrorT e m a

reader :: (r -> a) -> ErrorT e m a

(Functor f, MonadReader r m) => MonadReader r (FreeT f m)

Defined in Control.Monad.Trans.Free

Methods

ask :: FreeT f m r

local :: (r -> r) -> FreeT f m a -> FreeT f m a

reader :: (r -> a) -> FreeT f m a

MonadReader r ((->) r :: Type -> Type)

Defined in Control.Monad.Reader.Class

Methods

ask :: r -> r

local :: (r -> r) -> (r -> a) -> r -> a

reader :: (r -> a) -> r -> a

MonadReader r' m => MonadReader r' (ContT r m)

Defined in Control.Monad.Reader.Class

Methods

ask :: ContT r m r'

local :: (r' -> r') -> ContT r m a -> ContT r m a

reader :: (r' -> a) -> ContT r m a

(Monad m, Monoid w) => MonadReader r (RWST r w s m)

Defined in Control.Monad.Reader.Class

Methods

ask :: RWST r w s m r

local :: (r -> r) -> RWST r w s m a -> RWST r w s m a

reader :: (r -> a) -> RWST r w s m a

(Monad m, Monoid w) => MonadReader r (RWST r w s m)

Defined in Control.Monad.Reader.Class

Methods

ask :: RWST r w s m r

local :: (r -> r) -> RWST r w s m a -> RWST r w s m a

reader :: (r -> a) -> RWST r w s m a

class Monad m => MonadState s (m :: Type -> Type) | m -> s where

Minimal definition is either both of get and put or just state

Minimal complete definition

state | get, put

Methods

get :: m s

Return the state from the internals of the monad.

put :: s -> m ()

Replace the state inside the monad.

state :: (s -> (a, s)) -> m a

Embed a simple state action into the monad.

Instances

MonadState s m => MonadState s (MaybeT m)

Defined in Control.Monad.State.Class

Methods

get :: MaybeT m s

put :: s -> MaybeT m ()

state :: (s -> (a, s)) -> MaybeT m a

MonadState s m => MonadState s (ListT m)

Defined in Control.Monad.State.Class

Methods

get :: ListT m s

put :: s -> ListT m ()

state :: (s -> (a, s)) -> ListT m a

(Functor m, MonadState s m) => MonadState s (Free m)

Defined in Control.Monad.Free

Methods

get :: Free m s

put :: s -> Free m ()

state :: (s -> (a, s)) -> Free m a

(Monoid w, MonadState s m) => MonadState s (WriterT w m)

Defined in Control.Monad.State.Class

Methods

get :: WriterT w m s

put :: s -> WriterT w m ()

state :: (s -> (a, s)) -> WriterT w m a

(Monoid w, MonadState s m) => MonadState s (WriterT w m)

Defined in Control.Monad.State.Class

Methods

get :: WriterT w m s

put :: s -> WriterT w m ()

state :: (s -> (a, s)) -> WriterT w m a

Monad m => MonadState s (StateT s m)

Defined in Control.Monad.State.Class

Methods

get :: StateT s m s

put :: s -> StateT s m ()

state :: (s -> (a, s)) -> StateT s m a

Monad m => MonadState s (StateT s m)

Defined in Control.Monad.State.Class

Methods

get :: StateT s m s

put :: s -> StateT s m ()

state :: (s -> (a, s)) -> StateT s m a

MonadState s m => MonadState s (ReaderT r m)

Defined in Control.Monad.State.Class

Methods

get :: ReaderT r m s

put :: s -> ReaderT r m ()

state :: (s -> (a, s)) -> ReaderT r m a

MonadState s m => MonadState s (IdentityT m)

Defined in Control.Monad.State.Class

Methods

get :: IdentityT m s

put :: s -> IdentityT m ()

state :: (s -> (a, s)) -> IdentityT m a

MonadState s m => MonadState s (ExceptT e m)

Since: mtl-2.2

Defined in Control.Monad.State.Class

Methods

get :: ExceptT e m s

put :: s -> ExceptT e m ()

state :: (s -> (a, s)) -> ExceptT e m a

(Error e, MonadState s m) => MonadState s (ErrorT e m)

Defined in Control.Monad.State.Class

Methods

get :: ErrorT e m s

put :: s -> ErrorT e m ()

state :: (s -> (a, s)) -> ErrorT e m a

(Functor f, MonadState s m) => MonadState s (FreeT f m)

Defined in Control.Monad.Trans.Free

Methods

get :: FreeT f m s

put :: s -> FreeT f m ()

state :: (s -> (a, s)) -> FreeT f m a

MonadState s m => MonadState s (ContT r m)

Defined in Control.Monad.State.Class

Methods

get :: ContT r m s

put :: s -> ContT r m ()

state :: (s -> (a, s)) -> ContT r m a

(Monad m, Monoid w) => MonadState s (RWST r w s m)

Defined in Control.Monad.State.Class

Methods

get :: RWST r w s m s

put :: s -> RWST r w s m ()

state :: (s -> (a, s)) -> RWST r w s m a

(Monad m, Monoid w) => MonadState s (RWST r w s m)

Defined in Control.Monad.State.Class

Methods

get :: RWST r w s m s

put :: s -> RWST r w s m ()

state :: (s -> (a, s)) -> RWST r w s m a

data Handle

Haskell defines operations to read and write characters from and to files, represented by values of type Handle. Each value of this type is a handle: a record used by the Haskell run-time system to manage I/O with file system objects. A handle has at least the following properties:

• whether it manages input or output or both;
• whether it is open, closed or semi-closed;
• whether the object is seekable;
• whether buffering is disabled, or enabled on a line or block basis;
• a buffer (whose length may be zero).

Most handles will also have a current I/O position indicating where the next input or output operation will occur. A handle is readable if it manages only input or both input and output; likewise, it is writable if it manages only output or both input and output. A handle is open when first allocated. Once it is closed it can no longer be used for either input or output, though an implementation cannot re-use its storage while references remain to it. Handles are in the Show and Eq classes. The string produced by showing a handle is system dependent; it should include enough information to identify the handle for debugging. A handle is equal according to == only to itself; no attempt is made to compare the internal state of different handles for equality.

Instances

Eq Handle

Since: base-4.1.0.0

Defined in GHC.IO.Handle.Types

Methods

(==) :: Handle -> Handle -> Bool

(/=) :: Handle -> Handle -> Bool

Show Handle

Since: base-4.1.0.0

Defined in GHC.IO.Handle.Types

Methods

showsPrec :: Int -> Handle -> ShowS

show :: Handle -> String

showList :: [Handle] -> ShowS

newtype Compose (f :: k -> Type) (g :: k1 -> k) (a :: k1) infixr 9

Right-to-left composition of functors. The composition of applicative functors is always applicative, but the composition of monads is not always a monad.

Constructors

Compose infixr 9

Fields

• getCompose :: f (g a)

Instances

Functor f => Generic1 (Compose f g :: k -> Type)

Since: base-4.9.0.0

Defined in Data.Functor.Compose

Associated Types

type Rep1 (Compose f g) :: k -> Type

Methods

from1 :: forall (a :: k0). Compose f g a -> Rep1 (Compose f g) a

to1 :: forall (a :: k0). Rep1 (Compose f g) a -> Compose f g a

TestEquality f => TestEquality (Compose f g :: k2 -> Type)

The deduction (via generativity) that if g x :~: g y then x :~: y.

Since: base-4.14.0.0

Defined in Data.Functor.Compose

Methods

testEquality :: forall (a :: k) (b :: k). Compose f g a -> Compose f g b -> Maybe (a :~: b)

Sieve (ReifiedIndexedFold i) (Compose [] ((,) i))

Defined in Control.Lens.Reified

Methods

sieve :: ReifiedIndexedFold i a b -> a -> Compose [] ((,) i) b

(Cosieve p f, Cosieve q g) => Cosieve (Procompose p q) (Compose f g)

Defined in Data.Profunctor.Composition

Methods

cosieve :: Procompose p q a b -> Compose f g a -> b

(Sieve p f, Sieve q g) => Sieve (Procompose p q) (Compose g f)

Defined in Data.Profunctor.Composition

Methods

sieve :: Procompose p q a b -> a -> Compose g f b

(Functor f, Functor g) => Functor (Compose f g)

Since: base-4.9.0.0

Defined in Data.Functor.Compose

Methods

fmap :: (a -> b) -> Compose f g a -> Compose f g b

(<$) :: a -> Compose f g b -> Compose f g a

(Applicative f, Applicative g) => Applicative (Compose f g)

Since: base-4.9.0.0

Defined in Data.Functor.Compose

Methods

pure :: a -> Compose f g a

(<*>) :: Compose f g (a -> b) -> Compose f g a -> Compose f g b

liftA2 :: (a -> b -> c) -> Compose f g a -> Compose f g b -> Compose f g c

(*>) :: Compose f g a -> Compose f g b -> Compose f g b

(<*) :: Compose f g a -> Compose f g b -> Compose f g a

(Foldable f, Foldable g) => Foldable (Compose f g)

Since: base-4.9.0.0

Defined in Data.Functor.Compose

Methods

fold :: Monoid m => Compose f g m -> m

foldMap :: Monoid m => (a -> m) -> Compose f g a -> m

foldMap' :: Monoid m => (a -> m) -> Compose f g a -> m

foldr :: (a -> b -> b) -> b -> Compose f g a -> b

foldr' :: (a -> b -> b) -> b -> Compose f g a -> b

foldl :: (b -> a -> b) -> b -> Compose f g a -> b

foldl' :: (b -> a -> b) -> b -> Compose f g a -> b

foldr1 :: (a -> a -> a) -> Compose f g a -> a

foldl1 :: (a -> a -> a) -> Compose f g a -> a

toList :: Compose f g a -> [a]

null :: Compose f g a -> Bool

length :: Compose f g a -> Int

elem :: Eq a => a -> Compose f g a -> Bool

maximum :: Ord a => Compose f g a -> a

minimum :: Ord a => Compose f g a -> a

sum :: Num a => Compose f g a -> a

product :: Num a => Compose f g a -> a

(Traversable f, Traversable g) => Traversable (Compose f g)

Since: base-4.9.0.0

Defined in Data.Functor.Compose

Methods

traverse :: Applicative f0 => (a -> f0 b) -> Compose f g a -> f0 (Compose f g b)

sequenceA :: Applicative f0 => Compose f g (f0 a) -> f0 (Compose f g a)

mapM :: Monad m => (a -> m b) -> Compose f g a -> m (Compose f g b)

sequence :: Monad m => Compose f g (m a) -> m (Compose f g a)

(Representable f, Representable g) => Representable (Compose f g)

Defined in Data.Functor.Rep

Associated Types

type Rep (Compose f g)

Methods

tabulate :: (Rep (Compose f g) -> a) -> Compose f g a

index :: Compose f g a -> Rep (Compose f g) -> a

(Eq1 f, Eq1 g) => Eq1 (Compose f g)

Since: base-4.9.0.0

Defined in Data.Functor.Compose

Methods

liftEq :: (a -> b -> Bool) -> Compose f g a -> Compose f g b -> Bool

(Ord1 f, Ord1 g) => Ord1 (Compose f g)

Since: base-4.9.0.0

Defined in Data.Functor.Compose

Methods

liftCompare :: (a -> b -> Ordering) -> Compose f g a -> Compose f g b -> Ordering

(Read1 f, Read1 g) => Read1 (Compose f g)

Since: base-4.9.0.0

Defined in Data.Functor.Compose

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Compose f g a)

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Compose f g a]

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Compose f g a)

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Compose f g a]

(Show1 f, Show1 g) => Show1 (Compose f g)

Since: base-4.9.0.0

Defined in Data.Functor.Compose

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Compose f g a -> ShowS

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Compose f g a] -> ShowS

(Alternative f, Applicative g) => Alternative (Compose f g)

Since: base-4.9.0.0

Defined in Data.Functor.Compose

Methods

empty :: Compose f g a

(<|>) :: Compose f g a -> Compose f g a -> Compose f g a

some :: Compose f g a -> Compose f g [a]

many :: Compose f g a -> Compose f g [a]

(NFData1 f, NFData1 g) => NFData1 (Compose f g)

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Compose f g a -> ()

(Hashable1 f, Hashable1 g) => Hashable1 (Compose f g)

Defined in Data.Hashable.Class

Methods

liftHashWithSalt :: (Int -> a -> Int) -> Int -> Compose f g a -> Int

(Eq1 f, Eq1 g, Eq a) => Eq (Compose f g a)

Since: base-4.9.0.0

Defined in Data.Functor.Compose

Methods

(==) :: Compose f g a -> Compose f g a -> Bool

(/=) :: Compose f g a -> Compose f g a -> Bool

(Typeable a, Typeable f, Typeable g, Typeable k1, Typeable k2, Data (f (g a))) => Data (Compose f g a)

Since: base-4.9.0.0

Defined in Data.Functor.Compose

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g0. g0 -> c g0) -> Compose f g a -> c (Compose f g a)

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Compose f g a)

toConstr :: Compose f g a -> Constr

dataTypeOf :: Compose f g a -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Compose f g a))

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Compose f g a))

gmapT :: (forall b. Data b => b -> b) -> Compose f g a -> Compose f g a

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Compose f g a -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Compose f g a -> r

gmapQ :: (forall d. Data d => d -> u) -> Compose f g a -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> Compose f g a -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Compose f g a -> m (Compose f g a)

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Compose f g a -> m (Compose f g a)

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Compose f g a -> m (Compose f g a)

(Ord1 f, Ord1 g, Ord a) => Ord (Compose f g a)

Since: base-4.9.0.0

Defined in Data.Functor.Compose

Methods

compare :: Compose f g a -> Compose f g a -> Ordering

(<) :: Compose f g a -> Compose f g a -> Bool

(<=) :: Compose f g a -> Compose f g a -> Bool

(>) :: Compose f g a -> Compose f g a -> Bool

(>=) :: Compose f g a -> Compose f g a -> Bool

max :: Compose f g a -> Compose f g a -> Compose f g a

min :: Compose f g a -> Compose f g a -> Compose f g a

(Read1 f, Read1 g, Read a) => Read (Compose f g a)

Since: base-4.9.0.0

Defined in Data.Functor.Compose

Methods

readsPrec :: Int -> ReadS (Compose f g a)

readList :: ReadS [Compose f g a]

readPrec :: ReadPrec (Compose f g a)

readListPrec :: ReadPrec [Compose f g a]

(Show1 f, Show1 g, Show a) => Show (Compose f g a)

Since: base-4.9.0.0

Defined in Data.Functor.Compose

Methods

showsPrec :: Int -> Compose f g a -> ShowS

show :: Compose f g a -> String

showList :: [Compose f g a] -> ShowS

Generic (Compose f g a)

Since: base-4.9.0.0

Defined in Data.Functor.Compose

Associated Types

type Rep (Compose f g a) :: Type -> Type

Methods

from :: Compose f g a -> Rep (Compose f g a) x

to :: Rep (Compose f g a) x -> Compose f g a

(NFData1 f, NFData1 g, NFData a) => NFData (Compose f g a)

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

rnf :: Compose f g a -> ()

(Hashable1 f, Hashable1 g, Hashable a) => Hashable (Compose f g a)

In general, hash (Compose x) ≠ hash x. However, hashWithSalt satisfies its variant of this equivalence.

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Compose f g a -> Int

hash :: Compose f g a -> Int

Wrapped (Compose f g a)

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Compose f g a)

Methods

_Wrapped' :: Iso' (Compose f g a) (Unwrapped (Compose f g a))

t ~ Compose f' g' a' => Rewrapped (Compose f g a) t

Defined in Control.Lens.Wrapped

type Rep1 (Compose f g :: k -> Type)

Defined in Data.Functor.Compose

type Rep1 (Compose f g :: k -> Type) = D1 ('MetaData "Compose" "Data.Functor.Compose" "base" 'True) (C1 ('MetaCons "Compose" 'PrefixI 'True) (S1 ('MetaSel ('Just "getCompose") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (f :.: Rec1 g)))

type Rep (Compose f g)

Defined in Data.Functor.Rep

type Rep (Compose f g) = (Rep f, Rep g)

type Rep (Compose f g a)

Defined in Data.Functor.Compose

type Rep (Compose f g a) = D1 ('MetaData "Compose" "Data.Functor.Compose" "base" 'True) (C1 ('MetaCons "Compose" 'PrefixI 'True) (S1 ('MetaSel ('Just "getCompose") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (f (g a)))))

type Unwrapped (Compose f g a)

Defined in Control.Lens.Wrapped

type Unwrapped (Compose f g a) = f (g a)

vacuous :: Functor f => f Void -> f a

If Void is uninhabited then any Functor that holds only values of type Void is holding no values.

Using ApplicativeDo: 'vacuous theVoid' can be understood as the do expression

do void <- theVoid
   pure (absurd void)

with an inferred Functor constraint.

Since: base-4.8.0.0

absurd :: Void -> a

Since Void values logically don't exist, this witnesses the logical reasoning tool of "ex falso quodlibet".

>>> let x :: Either Void Int; x = Right 5
>>> :{
case x of
    Right r -> r
    Left l  -> absurd l
:}
5

Since: base-4.8.0.0

data Void

Uninhabited data type

Since: base-4.8.0.0

Instances

Eq Void

Since: base-4.8.0.0

Defined in Data.Void

Methods

(==) :: Void -> Void -> Bool

(/=) :: Void -> Void -> Bool

Data Void

Since: base-4.8.0.0

Defined in Data.Void

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Void -> c Void

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Void

toConstr :: Void -> Constr

dataTypeOf :: Void -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Void)

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Void)

gmapT :: (forall b. Data b => b -> b) -> Void -> Void

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Void -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Void -> r

gmapQ :: (forall d. Data d => d -> u) -> Void -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> Void -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Void -> m Void

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Void -> m Void

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Void -> m Void

Ord Void

Since: base-4.8.0.0

Defined in Data.Void

Methods

compare :: Void -> Void -> Ordering

(<) :: Void -> Void -> Bool

(<=) :: Void -> Void -> Bool

(>) :: Void -> Void -> Bool

(>=) :: Void -> Void -> Bool

max :: Void -> Void -> Void

min :: Void -> Void -> Void

Read Void

Reading a Void value is always a parse error, considering Void as a data type with no constructors.

Since: base-4.8.0.0

Defined in Data.Void

Methods

readsPrec :: Int -> ReadS Void

readList :: ReadS [Void]

readPrec :: ReadPrec Void

readListPrec :: ReadPrec [Void]

Show Void

Since: base-4.8.0.0

Defined in Data.Void

Methods

showsPrec :: Int -> Void -> ShowS

show :: Void -> String

showList :: [Void] -> ShowS

Ix Void

Since: base-4.8.0.0

Defined in Data.Void

Methods

range :: (Void, Void) -> [Void]

index :: (Void, Void) -> Void -> Int

unsafeIndex :: (Void, Void) -> Void -> Int

inRange :: (Void, Void) -> Void -> Bool

rangeSize :: (Void, Void) -> Int

unsafeRangeSize :: (Void, Void) -> Int

Generic Void

Since: base-4.8.0.0

Defined in Data.Void

Associated Types

type Rep Void :: Type -> Type

Methods

from :: Void -> Rep Void x

to :: Rep Void x -> Void

Semigroup Void

Since: base-4.9.0.0

Defined in Data.Void

Methods

(<>) :: Void -> Void -> Void

sconcat :: NonEmpty Void -> Void

stimes :: Integral b => b -> Void -> Void

Exception Void

Since: base-4.8.0.0

Defined in Data.Void

Methods

toException :: Void -> SomeException

fromException :: SomeException -> Maybe Void

displayException :: Void -> String

NFData Void

Defined as rnf = absurd.

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: Void -> ()

Hashable Void

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Void -> Int

hash :: Void -> Int

type Rep Void

Defined in Data.Void

type Rep Void = D1 ('MetaData "Void" "Data.Void" "base" 'False) (V1 :: Type -> Type)

mtimesDefault :: (Integral b, Monoid a) => b -> a -> a

Repeat a value n times.

mtimesDefault n a = a <> a <> ... <> a  -- using <> (n-1) times

Implemented using stimes and mempty.

This is a suitable definition for an mtimes member of Monoid.

cycle1 :: Semigroup m => m -> m

A generalization of cycle to an arbitrary Semigroup. May fail to terminate for some values in some semigroups.

data WrappedMonoid m

Provide a Semigroup for an arbitrary Monoid.

NOTE: This is not needed anymore since Semigroup became a superclass of Monoid in base-4.11 and this newtype be deprecated at some point in the future.

Instances

NFData1 WrappedMonoid

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> WrappedMonoid a -> ()

Bounded m => Bounded (WrappedMonoid m)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

minBound :: WrappedMonoid m

maxBound :: WrappedMonoid m

Enum a => Enum (WrappedMonoid a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

succ :: WrappedMonoid a -> WrappedMonoid a

pred :: WrappedMonoid a -> WrappedMonoid a

toEnum :: Int -> WrappedMonoid a

fromEnum :: WrappedMonoid a -> Int

enumFrom :: WrappedMonoid a -> [WrappedMonoid a]

enumFromThen :: WrappedMonoid a -> WrappedMonoid a -> [WrappedMonoid a]

enumFromTo :: WrappedMonoid a -> WrappedMonoid a -> [WrappedMonoid a]

enumFromThenTo :: WrappedMonoid a -> WrappedMonoid a -> WrappedMonoid a -> [WrappedMonoid a]

Eq m => Eq (WrappedMonoid m)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

(==) :: WrappedMonoid m -> WrappedMonoid m -> Bool

(/=) :: WrappedMonoid m -> WrappedMonoid m -> Bool

Data m => Data (WrappedMonoid m)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> WrappedMonoid m -> c (WrappedMonoid m)

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (WrappedMonoid m)

toConstr :: WrappedMonoid m -> Constr

dataTypeOf :: WrappedMonoid m -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (WrappedMonoid m))

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (WrappedMonoid m))

gmapT :: (forall b. Data b => b -> b) -> WrappedMonoid m -> WrappedMonoid m

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> WrappedMonoid m -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> WrappedMonoid m -> r

gmapQ :: (forall d. Data d => d -> u) -> WrappedMonoid m -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> WrappedMonoid m -> u

gmapM :: Monad m0 => (forall d. Data d => d -> m0 d) -> WrappedMonoid m -> m0 (WrappedMonoid m)

gmapMp :: MonadPlus m0 => (forall d. Data d => d -> m0 d) -> WrappedMonoid m -> m0 (WrappedMonoid m)

gmapMo :: MonadPlus m0 => (forall d. Data d => d -> m0 d) -> WrappedMonoid m -> m0 (WrappedMonoid m)

Ord m => Ord (WrappedMonoid m)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

compare :: WrappedMonoid m -> WrappedMonoid m -> Ordering

(<) :: WrappedMonoid m -> WrappedMonoid m -> Bool

(<=) :: WrappedMonoid m -> WrappedMonoid m -> Bool

(>) :: WrappedMonoid m -> WrappedMonoid m -> Bool

(>=) :: WrappedMonoid m -> WrappedMonoid m -> Bool

max :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m

min :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m

Read m => Read (WrappedMonoid m)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

readsPrec :: Int -> ReadS (WrappedMonoid m)

readList :: ReadS [WrappedMonoid m]

readPrec :: ReadPrec (WrappedMonoid m)

readListPrec :: ReadPrec [WrappedMonoid m]

Show m => Show (WrappedMonoid m)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

showsPrec :: Int -> WrappedMonoid m -> ShowS

show :: WrappedMonoid m -> String

showList :: [WrappedMonoid m] -> ShowS

Generic (WrappedMonoid m)

Since: base-4.9.0.0

Defined in Data.Semigroup

Associated Types

type Rep (WrappedMonoid m) :: Type -> Type

Methods

from :: WrappedMonoid m -> Rep (WrappedMonoid m) x

to :: Rep (WrappedMonoid m) x -> WrappedMonoid m

Monoid m => Semigroup (WrappedMonoid m)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

(<>) :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m

sconcat :: NonEmpty (WrappedMonoid m) -> WrappedMonoid m

stimes :: Integral b => b -> WrappedMonoid m -> WrappedMonoid m

Monoid m => Monoid (WrappedMonoid m)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

mempty :: WrappedMonoid m

mappend :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m

mconcat :: [WrappedMonoid m] -> WrappedMonoid m

NFData m => NFData (WrappedMonoid m)

Since: deepseq-1.4.2.0

Defined in Control.DeepSeq

Methods

rnf :: WrappedMonoid m -> ()

Hashable a => Hashable (WrappedMonoid a)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> WrappedMonoid a -> Int

hash :: WrappedMonoid a -> Int

Wrapped (WrappedMonoid a)

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (WrappedMonoid a)

Methods

_Wrapped' :: Iso' (WrappedMonoid a) (Unwrapped (WrappedMonoid a))

Generic1 WrappedMonoid

Since: base-4.9.0.0

Defined in Data.Semigroup

Associated Types

type Rep1 WrappedMonoid :: k -> Type

Methods

from1 :: forall (a :: k). WrappedMonoid a -> Rep1 WrappedMonoid a

to1 :: forall (a :: k). Rep1 WrappedMonoid a -> WrappedMonoid a

t ~ WrappedMonoid b => Rewrapped (WrappedMonoid a) t

Defined in Control.Lens.Wrapped

type Rep (WrappedMonoid m)

Defined in Data.Semigroup

type Rep (WrappedMonoid m) = D1 ('MetaData "WrappedMonoid" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "WrapMonoid" 'PrefixI 'True) (S1 ('MetaSel ('Just "unwrapMonoid") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 m)))

type Unwrapped (WrappedMonoid a)

Defined in Control.Lens.Wrapped

type Unwrapped (WrappedMonoid a) = a

type Rep1 WrappedMonoid

Defined in Data.Semigroup

type Rep1 WrappedMonoid = D1 ('MetaData "WrappedMonoid" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "WrapMonoid" 'PrefixI 'True) (S1 ('MetaSel ('Just "unwrapMonoid") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

newtype Option a

Option is effectively Maybe with a better instance of Monoid, built off of an underlying Semigroup instead of an underlying Monoid.

Ideally, this type would not exist at all and we would just fix the Monoid instance of Maybe.

In GHC 8.4 and higher, the Monoid instance for Maybe has been corrected to lift a Semigroup instance instead of a Monoid instance. Consequently, this type is no longer useful. It will be marked deprecated in GHC 8.8 and removed in GHC 8.10.

Constructors

Option

Fields

• getOption :: Maybe a

Instances

Monad Option

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

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

(>>) :: Option a -> Option b -> Option b

return :: a -> Option a

Functor Option

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

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

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

MonadFix Option

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

mfix :: (a -> Option a) -> Option a

Applicative Option

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

pure :: a -> Option a

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

liftA2 :: (a -> b -> c) -> Option a -> Option b -> Option c

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

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

Foldable Option

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

fold :: Monoid m => Option m -> m

foldMap :: Monoid m => (a -> m) -> Option a -> m

foldMap' :: Monoid m => (a -> m) -> Option a -> m

foldr :: (a -> b -> b) -> b -> Option a -> b

foldr' :: (a -> b -> b) -> b -> Option a -> b

foldl :: (b -> a -> b) -> b -> Option a -> b

foldl' :: (b -> a -> b) -> b -> Option a -> b

foldr1 :: (a -> a -> a) -> Option a -> a

foldl1 :: (a -> a -> a) -> Option a -> a

toList :: Option a -> [a]

null :: Option a -> Bool

length :: Option a -> Int

elem :: Eq a => a -> Option a -> Bool

maximum :: Ord a => Option a -> a

minimum :: Ord a => Option a -> a

sum :: Num a => Option a -> a

product :: Num a => Option a -> a

Traversable Option

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

traverse :: Applicative f => (a -> f b) -> Option a -> f (Option b)

sequenceA :: Applicative f => Option (f a) -> f (Option a)

mapM :: Monad m => (a -> m b) -> Option a -> m (Option b)

sequence :: Monad m => Option (m a) -> m (Option a)

Alternative Option

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

empty :: Option a

(<|>) :: Option a -> Option a -> Option a

some :: Option a -> Option [a]

many :: Option a -> Option [a]

MonadPlus Option

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

mzero :: Option a

mplus :: Option a -> Option a -> Option a

NFData1 Option

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Option a -> ()

Eq a => Eq (Option a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

(==) :: Option a -> Option a -> Bool

(/=) :: Option a -> Option a -> Bool

Data a => Data (Option a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Option a -> c (Option a)

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Option a)

toConstr :: Option a -> Constr

dataTypeOf :: Option a -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Option a))

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Option a))

gmapT :: (forall b. Data b => b -> b) -> Option a -> Option a

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Option a -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Option a -> r

gmapQ :: (forall d. Data d => d -> u) -> Option a -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> Option a -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Option a -> m (Option a)

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Option a -> m (Option a)

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Option a -> m (Option a)

Ord a => Ord (Option a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

compare :: Option a -> Option a -> Ordering

(<) :: Option a -> Option a -> Bool

(<=) :: Option a -> Option a -> Bool

(>) :: Option a -> Option a -> Bool

(>=) :: Option a -> Option a -> Bool

max :: Option a -> Option a -> Option a

min :: Option a -> Option a -> Option a

Read a => Read (Option a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

readsPrec :: Int -> ReadS (Option a)

readList :: ReadS [Option a]

readPrec :: ReadPrec (Option a)

readListPrec :: ReadPrec [Option a]

Show a => Show (Option a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

showsPrec :: Int -> Option a -> ShowS

show :: Option a -> String

showList :: [Option a] -> ShowS

Generic (Option a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Associated Types

type Rep (Option a) :: Type -> Type

Methods

from :: Option a -> Rep (Option a) x

to :: Rep (Option a) x -> Option a

Semigroup a => Semigroup (Option a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

(<>) :: Option a -> Option a -> Option a

sconcat :: NonEmpty (Option a) -> Option a

stimes :: Integral b => b -> Option a -> Option a

Semigroup a => Monoid (Option a)

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

mempty :: Option a

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

mconcat :: [Option a] -> Option a

NFData a => NFData (Option a)

Since: deepseq-1.4.2.0

Defined in Control.DeepSeq

Methods

rnf :: Option a -> ()

Hashable a => Hashable (Option a)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Option a -> Int

hash :: Option a -> Int

Wrapped (Option a)

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Option a)

Methods

_Wrapped' :: Iso' (Option a) (Unwrapped (Option a))

Generic1 Option

Since: base-4.9.0.0

Defined in Data.Semigroup

Associated Types

type Rep1 Option :: k -> Type

Methods

from1 :: forall (a :: k). Option a -> Rep1 Option a

to1 :: forall (a :: k). Rep1 Option a -> Option a

t ~ Option b => Rewrapped (Option a) t

Defined in Control.Lens.Wrapped

type Rep (Option a)

Defined in Data.Semigroup

type Rep (Option a) = D1 ('MetaData "Option" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "Option" 'PrefixI 'True) (S1 ('MetaSel ('Just "getOption") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (Maybe a))))

type Unwrapped (Option a)

Defined in Control.Lens.Wrapped

type Unwrapped (Option a) = Maybe a

type Rep1 Option

Defined in Data.Semigroup

type Rep1 Option = D1 ('MetaData "Option" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "Option" 'PrefixI 'True) (S1 ('MetaSel ('Just "getOption") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 Maybe)))

sortWith :: Ord b => (a -> b) -> [a] -> [a]

The sortWith function sorts a list of elements using the user supplied function to project something out of each element

class Bifunctor (p :: Type -> Type -> Type) where

A bifunctor is a type constructor that takes two type arguments and is a functor in both arguments. That is, unlike with Functor, a type constructor such as Either does not need to be partially applied for a Bifunctor instance, and the methods in this class permit mapping functions over the Left value or the Right value, or both at the same time.

Formally, the class Bifunctor represents a bifunctor from Hask -> Hask.

Intuitively it is a bifunctor where both the first and second arguments are covariant.

You can define a Bifunctor by either defining bimap or by defining both first and second.

If you supply bimap, you should ensure that:

bimap id id ≡ id

If you supply first and second, ensure:

first id ≡ id
second id ≡ id

If you supply both, you should also ensure:

bimap f g ≡ first f . second g

These ensure by parametricity:

bimap  (f . g) (h . i) ≡ bimap f h . bimap g i
first  (f . g) ≡ first  f . first  g
second (f . g) ≡ second f . second g

Since: base-4.8.0.0

Minimal complete definition

bimap | first, second

Methods

bimap :: (a -> b) -> (c -> d) -> p a c -> p b d

Map over both arguments at the same time.

bimap f g ≡ first f . second g

Examples

>>> bimap toUpper (+1) ('j', 3)
('J',4)

>>> bimap toUpper (+1) (Left 'j')
Left 'J'

>>> bimap toUpper (+1) (Right 3)
Right 4

first :: (a -> b) -> p a c -> p b c

Map covariantly over the first argument.

first f ≡ bimap f id

Examples

>>> first toUpper ('j', 3)
('J',3)

>>> first toUpper (Left 'j')
Left 'J'

second :: (b -> c) -> p a b -> p a c

Map covariantly over the second argument.

second ≡ bimap id

Examples

>>> second (+1) ('j', 3)
('j',4)

>>> second (+1) (Right 3)
Right 4

Instances

Bifunctor Either

Since: base-4.8.0.0

Defined in Data.Bifunctor

Methods

bimap :: (a -> b) -> (c -> d) -> Either a c -> Either b d

first :: (a -> b) -> Either a c -> Either b c

second :: (b -> c) -> Either a b -> Either a c

Bifunctor (,)

Since: base-4.8.0.0

Defined in Data.Bifunctor

Methods

bimap :: (a -> b) -> (c -> d) -> (a, c) -> (b, d)

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

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

Bifunctor Arg

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

bimap :: (a -> b) -> (c -> d) -> Arg a c -> Arg b d

first :: (a -> b) -> Arg a c -> Arg b c

second :: (b -> c) -> Arg a b -> Arg a c

Bifunctor ((,,) x1)

Since: base-4.8.0.0

Defined in Data.Bifunctor

Methods

bimap :: (a -> b) -> (c -> d) -> (x1, a, c) -> (x1, b, d)

first :: (a -> b) -> (x1, a, c) -> (x1, b, c)

second :: (b -> c) -> (x1, a, b) -> (x1, a, c)

Bifunctor (Const :: Type -> Type -> Type)

Since: base-4.8.0.0

Defined in Data.Bifunctor

Methods

bimap :: (a -> b) -> (c -> d) -> Const a c -> Const b d

first :: (a -> b) -> Const a c -> Const b c

second :: (b -> c) -> Const a b -> Const a c

Functor f => Bifunctor (FreeF f)

Defined in Control.Monad.Trans.Free

Methods

bimap :: (a -> b) -> (c -> d) -> FreeF f a c -> FreeF f b d

first :: (a -> b) -> FreeF f a c -> FreeF f b c

second :: (b -> c) -> FreeF f a b -> FreeF f a c

Functor f => Bifunctor (CofreeF f)

Defined in Control.Comonad.Trans.Cofree

Methods

bimap :: (a -> b) -> (c -> d) -> CofreeF f a c -> CofreeF f b d

first :: (a -> b) -> CofreeF f a c -> CofreeF f b c

second :: (b -> c) -> CofreeF f a b -> CofreeF f a c

Bifunctor (Tagged :: Type -> Type -> Type)

Defined in Data.Tagged

Methods

bimap :: (a -> b) -> (c -> d) -> Tagged a c -> Tagged b d

first :: (a -> b) -> Tagged a c -> Tagged b c

second :: (b -> c) -> Tagged a b -> Tagged a c

Bifunctor (K1 i :: Type -> Type -> Type)

Since: base-4.9.0.0

Defined in Data.Bifunctor

Methods

bimap :: (a -> b) -> (c -> d) -> K1 i a c -> K1 i b d

first :: (a -> b) -> K1 i a c -> K1 i b c

second :: (b -> c) -> K1 i a b -> K1 i a c

Bifunctor ((,,,) x1 x2)

Since: base-4.8.0.0

Defined in Data.Bifunctor

Methods

bimap :: (a -> b) -> (c -> d) -> (x1, x2, a, c) -> (x1, x2, b, d)

first :: (a -> b) -> (x1, x2, a, c) -> (x1, x2, b, c)

second :: (b -> c) -> (x1, x2, a, b) -> (x1, x2, a, c)

Bifunctor ((,,,,) x1 x2 x3)

Since: base-4.8.0.0

Defined in Data.Bifunctor

Methods

bimap :: (a -> b) -> (c -> d) -> (x1, x2, x3, a, c) -> (x1, x2, x3, b, d)

first :: (a -> b) -> (x1, x2, x3, a, c) -> (x1, x2, x3, b, c)

second :: (b -> c) -> (x1, x2, x3, a, b) -> (x1, x2, x3, a, c)

Bifunctor p => Bifunctor (WrappedBifunctor p)

Defined in Data.Bifunctor.Wrapped

Methods

bimap :: (a -> b) -> (c -> d) -> WrappedBifunctor p a c -> WrappedBifunctor p b d

first :: (a -> b) -> WrappedBifunctor p a c -> WrappedBifunctor p b c

second :: (b -> c) -> WrappedBifunctor p a b -> WrappedBifunctor p a c

Functor g => Bifunctor (Joker g :: Type -> Type -> Type)

Defined in Data.Bifunctor.Joker

Methods

bimap :: (a -> b) -> (c -> d) -> Joker g a c -> Joker g b d

first :: (a -> b) -> Joker g a c -> Joker g b c

second :: (b -> c) -> Joker g a b -> Joker g a c

Bifunctor p => Bifunctor (Flip p)

Defined in Data.Bifunctor.Flip

Methods

bimap :: (a -> b) -> (c -> d) -> Flip p a c -> Flip p b d

first :: (a -> b) -> Flip p a c -> Flip p b c

second :: (b -> c) -> Flip p a b -> Flip p a c

Functor f => Bifunctor (Clown f :: Type -> Type -> Type)

Defined in Data.Bifunctor.Clown

Methods

bimap :: (a -> b) -> (c -> d) -> Clown f a c -> Clown f b d

first :: (a -> b) -> Clown f a c -> Clown f b c

second :: (b -> c) -> Clown f a b -> Clown f a c

Bifunctor ((,,,,,) x1 x2 x3 x4)

Since: base-4.8.0.0

Defined in Data.Bifunctor

Methods

bimap :: (a -> b) -> (c -> d) -> (x1, x2, x3, x4, a, c) -> (x1, x2, x3, x4, b, d)

first :: (a -> b) -> (x1, x2, x3, x4, a, c) -> (x1, x2, x3, x4, b, c)

second :: (b -> c) -> (x1, x2, x3, x4, a, b) -> (x1, x2, x3, x4, a, c)

(Bifunctor p, Bifunctor q) => Bifunctor (Sum p q)

Defined in Data.Bifunctor.Sum

Methods

bimap :: (a -> b) -> (c -> d) -> Sum p q a c -> Sum p q b d

first :: (a -> b) -> Sum p q a c -> Sum p q b c

second :: (b -> c) -> Sum p q a b -> Sum p q a c

(Bifunctor f, Bifunctor g) => Bifunctor (Product f g)

Defined in Data.Bifunctor.Product

Methods

bimap :: (a -> b) -> (c -> d) -> Product f g a c -> Product f g b d

first :: (a -> b) -> Product f g a c -> Product f g b c

second :: (b -> c) -> Product f g a b -> Product f g a c

Bifunctor ((,,,,,,) x1 x2 x3 x4 x5)

Since: base-4.8.0.0

Defined in Data.Bifunctor

Methods

bimap :: (a -> b) -> (c -> d) -> (x1, x2, x3, x4, x5, a, c) -> (x1, x2, x3, x4, x5, b, d)

first :: (a -> b) -> (x1, x2, x3, x4, x5, a, c) -> (x1, x2, x3, x4, x5, b, c)

second :: (b -> c) -> (x1, x2, x3, x4, x5, a, b) -> (x1, x2, x3, x4, x5, a, c)

(Functor f, Bifunctor p) => Bifunctor (Tannen f p)

Defined in Data.Bifunctor.Tannen

Methods

bimap :: (a -> b) -> (c -> d) -> Tannen f p a c -> Tannen f p b d

first :: (a -> b) -> Tannen f p a c -> Tannen f p b c

second :: (b -> c) -> Tannen f p a b -> Tannen f p a c

(Bifunctor p, Functor f, Functor g) => Bifunctor (Biff p f g)

Defined in Data.Bifunctor.Biff

Methods

bimap :: (a -> b) -> (c -> d) -> Biff p f g a c -> Biff p f g b d

first :: (a -> b) -> Biff p f g a c -> Biff p f g b c

second :: (b -> c) -> Biff p f g a b -> Biff p f g a c

init :: NonEmpty a -> [a]

Extract everything except the last element of the stream.

last :: NonEmpty a -> a

Extract the last element of the stream.

tail :: NonEmpty a -> [a]

Extract the possibly-empty tail of the stream.

head :: NonEmpty a -> a

Extract the first element of the stream.

nonEmpty :: [a] -> Maybe (NonEmpty a)

nonEmpty efficiently turns a normal list into a NonEmpty stream, producing Nothing if the input is empty.

showStackTrace :: IO (Maybe String)

Get a string representation of the current execution stack state.

getStackTrace :: IO (Maybe [Location])

Get a trace of the current execution stack state.

Returns Nothing if stack trace support isn't available on host machine.

class Monad m => MonadIO (m :: Type -> Type) where

Monads in which IO computations may be embedded. Any monad built by applying a sequence of monad transformers to the IO monad will be an instance of this class.

Instances should satisfy the following laws, which state that liftIO is a transformer of monads:

• liftIO . return = return

• liftIO (m >>= f) = liftIO m >>= (liftIO . f)

Methods

liftIO :: IO a -> m a

Lift a computation from the IO monad.

Instances

MonadIO IO

Since: base-4.9.0.0

Defined in Control.Monad.IO.Class

Methods

liftIO :: IO a -> IO a

MonadIO m => MonadIO (MaybeT m)

Defined in Control.Monad.Trans.Maybe

Methods

liftIO :: IO a -> MaybeT m a

MonadIO m => MonadIO (IdentityT m)

Defined in Control.Monad.Trans.Identity

Methods

liftIO :: IO a -> IdentityT m a

MonadIO m => MonadIO (ExceptT e m)

Defined in Control.Monad.Trans.Except

Methods

liftIO :: IO a -> ExceptT e m a

(Functor f, MonadIO m) => MonadIO (FreeT f m)

Defined in Control.Monad.Trans.Free

Methods

liftIO :: IO a -> FreeT f m a

(Error e, MonadIO m) => MonadIO (ErrorT e m)

Defined in Control.Monad.Trans.Error

Methods

liftIO :: IO a -> ErrorT e m a

MonadIO m => MonadIO (StateT s m)

Defined in Control.Monad.Trans.State.Strict

Methods

liftIO :: IO a -> StateT s m a

MonadIO m => MonadIO (ReaderT r m)

Defined in Control.Monad.Trans.Reader

Methods

liftIO :: IO a -> ReaderT r m a

mfilter :: MonadPlus m => (a -> Bool) -> m a -> m a

Direct MonadPlus equivalent of filter.

Examples

The filter function is just mfilter specialized to the list monad:

filter = ( mfilter :: (a -> Bool) -> [a] -> [a] )

An example using mfilter with the Maybe monad:

>>> mfilter odd (Just 1)
Just 1
>>> mfilter odd (Just 2)
Nothing

(<$!>) :: Monad m => (a -> b) -> m a -> m b infixl 4

Strict version of <$>.

Since: base-4.8.0.0

unless :: Applicative f => Bool -> f () -> f ()

The reverse of when.

replicateM_ :: Applicative m => Int -> m a -> m ()

Like replicateM, but discards the result.

replicateM :: Applicative m => Int -> m a -> m [a]

replicateM n act performs the action n times, gathering the results.

Using ApplicativeDo: 'replicateM 5 as' can be understood as the do expression

do a1 <- as
   a2 <- as
   a3 <- as
   a4 <- as
   a5 <- as
   pure [a1,a2,a3,a4,a5]

Note the Applicative constraint.

foldM_ :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m ()

Like foldM, but discards the result.

foldM :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m b

The foldM function is analogous to foldl, except that its result is encapsulated in a monad. Note that foldM works from left-to-right over the list arguments. This could be an issue where (>>) and the `folded function' are not commutative.

foldM f a1 [x1, x2, ..., xm]

==

do
  a2 <- f a1 x1
  a3 <- f a2 x2
  ...
  f am xm

If right-to-left evaluation is required, the input list should be reversed.

Note: foldM is the same as foldlM

zipWithM_ :: Applicative m => (a -> b -> m c) -> [a] -> [b] -> m ()

zipWithM_ is the extension of zipWithM which ignores the final result.

zipWithM :: Applicative m => (a -> b -> m c) -> [a] -> [b] -> m [c]

The zipWithM function generalizes zipWith to arbitrary applicative functors.

mapAndUnzipM :: Applicative m => (a -> m (b, c)) -> [a] -> m ([b], [c])

The mapAndUnzipM function maps its first argument over a list, returning the result as a pair of lists. This function is mainly used with complicated data structures or a state monad.

forever :: Applicative f => f a -> f b

Repeat an action indefinitely.

Using ApplicativeDo: 'forever as' can be understood as the pseudo-do expression

do as
   as
   ..

with as repeating.

Examples

A common use of forever is to process input from network sockets, Handles, and channels (e.g. MVar and Chan).

For example, here is how we might implement an echo server, using forever both to listen for client connections on a network socket and to echo client input on client connection handles:

echoServer :: Socket -> IO ()
echoServer socket = forever $ do
  client <- accept socket
  forkFinally (echo client) (\_ -> hClose client)
  where
    echo :: Handle -> IO ()
    echo client = forever $
      hGetLine client >>= hPutStrLn client

(<=<) :: Monad m => (b -> m c) -> (a -> m b) -> a -> m c infixr 1

Right-to-left composition of Kleisli arrows. (>=>), with the arguments flipped.

Note how this operator resembles function composition (.):

(.)   ::            (b ->   c) -> (a ->   b) -> a ->   c
(<=<) :: Monad m => (b -> m c) -> (a -> m b) -> a -> m c

(>=>) :: Monad m => (a -> m b) -> (b -> m c) -> a -> m c infixr 1

Left-to-right composition of Kleisli arrows.

'(bs >=> cs) a' can be understood as the do expression

do b <- bs a
   cs b

filterM :: Applicative m => (a -> m Bool) -> [a] -> m [a]

This generalizes the list-based filter function.

foldMapDefault :: (Traversable t, Monoid m) => (a -> m) -> t a -> m

This function may be used as a value for foldMap in a Foldable instance.

foldMapDefault f ≡ getConst . traverse (Const . f)

fmapDefault :: Traversable t => (a -> b) -> t a -> t b

This function may be used as a value for fmap in a Functor instance, provided that traverse is defined. (Using fmapDefault with a Traversable instance defined only by sequenceA will result in infinite recursion.)

fmapDefault f ≡ runIdentity . traverse (Identity . f)

mapAccumR :: Traversable t => (a -> b -> (a, c)) -> a -> t b -> (a, t c)

The mapAccumR function behaves like a combination of fmap and foldr; it applies a function to each element of a structure, passing an accumulating parameter from right to left, and returning a final value of this accumulator together with the new structure.

mapAccumL :: Traversable t => (a -> b -> (a, c)) -> a -> t b -> (a, t c)

The mapAccumL function behaves like a combination of fmap and foldl; it applies a function to each element of a structure, passing an accumulating parameter from left to right, and returning a final value of this accumulator together with the new structure.

forM :: (Traversable t, Monad m) => t a -> (a -> m b) -> m (t b)

forM is mapM with its arguments flipped. For a version that ignores the results see forM_.

optional :: Alternative f => f a -> f (Maybe a)

One or none.

newtype ZipList a

Lists, but with an Applicative functor based on zipping.

Constructors

ZipList

Fields

• getZipList :: [a]

Instances

Functor ZipList

Since: base-2.1

Defined in Control.Applicative

Methods

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

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

Applicative ZipList

f <$> ZipList xs1 <*> ... <*> ZipList xsN
    = ZipList (zipWithN f xs1 ... xsN)

where zipWithN refers to the zipWith function of the appropriate arity (zipWith, zipWith3, zipWith4, ...). For example:

(\a b c -> stimes c [a, b]) <$> ZipList "abcd" <*> ZipList "567" <*> ZipList [1..]
    = ZipList (zipWith3 (\a b c -> stimes c [a, b]) "abcd" "567" [1..])
    = ZipList {getZipList = ["a5","b6b6","c7c7c7"]}

Since: base-2.1

Defined in Control.Applicative

Methods

pure :: a -> ZipList a

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

liftA2 :: (a -> b -> c) -> ZipList a -> ZipList b -> ZipList c

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

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

Foldable ZipList

Since: base-4.9.0.0

Defined in Control.Applicative

Methods

fold :: Monoid m => ZipList m -> m

foldMap :: Monoid m => (a -> m) -> ZipList a -> m

foldMap' :: Monoid m => (a -> m) -> ZipList a -> m

foldr :: (a -> b -> b) -> b -> ZipList a -> b

foldr' :: (a -> b -> b) -> b -> ZipList a -> b

foldl :: (b -> a -> b) -> b -> ZipList a -> b

foldl' :: (b -> a -> b) -> b -> ZipList a -> b

foldr1 :: (a -> a -> a) -> ZipList a -> a

foldl1 :: (a -> a -> a) -> ZipList a -> a

toList :: ZipList a -> [a]

null :: ZipList a -> Bool

length :: ZipList a -> Int

elem :: Eq a => a -> ZipList a -> Bool

maximum :: Ord a => ZipList a -> a

minimum :: Ord a => ZipList a -> a

sum :: Num a => ZipList a -> a

product :: Num a => ZipList a -> a

Traversable ZipList

Since: base-4.9.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> ZipList a -> f (ZipList b)

sequenceA :: Applicative f => ZipList (f a) -> f (ZipList a)

mapM :: Monad m => (a -> m b) -> ZipList a -> m (ZipList b)

sequence :: Monad m => ZipList (m a) -> m (ZipList a)

Alternative ZipList

Since: base-4.11.0.0

Defined in Control.Applicative

Methods

empty :: ZipList a

(<|>) :: ZipList a -> ZipList a -> ZipList a

some :: ZipList a -> ZipList [a]

many :: ZipList a -> ZipList [a]

NFData1 ZipList

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> ZipList a -> ()

IsList (ZipList a)

Since: base-4.15.0.0

Defined in GHC.Exts

Associated Types

type Item (ZipList a)

Methods

fromList :: [Item (ZipList a)] -> ZipList a

fromListN :: Int -> [Item (ZipList a)] -> ZipList a

toList :: ZipList a -> [Item (ZipList a)]

Eq a => Eq (ZipList a)

Since: base-4.7.0.0

Defined in Control.Applicative

Methods

(==) :: ZipList a -> ZipList a -> Bool

(/=) :: ZipList a -> ZipList a -> Bool

Ord a => Ord (ZipList a)

Since: base-4.7.0.0

Defined in Control.Applicative

Methods

compare :: ZipList a -> ZipList a -> Ordering

(<) :: ZipList a -> ZipList a -> Bool

(<=) :: ZipList a -> ZipList a -> Bool

(>) :: ZipList a -> ZipList a -> Bool

(>=) :: ZipList a -> ZipList a -> Bool

max :: ZipList a -> ZipList a -> ZipList a

min :: ZipList a -> ZipList a -> ZipList a

Read a => Read (ZipList a)

Since: base-4.7.0.0

Defined in Control.Applicative

Methods

readsPrec :: Int -> ReadS (ZipList a)

readList :: ReadS [ZipList a]

readPrec :: ReadPrec (ZipList a)

readListPrec :: ReadPrec [ZipList a]

Show a => Show (ZipList a)

Since: base-4.7.0.0

Defined in Control.Applicative

Methods

showsPrec :: Int -> ZipList a -> ShowS

show :: ZipList a -> String

showList :: [ZipList a] -> ShowS

Generic (ZipList a)

Since: base-4.7.0.0

Defined in Control.Applicative

Associated Types

type Rep (ZipList a) :: Type -> Type

Methods

from :: ZipList a -> Rep (ZipList a) x

to :: Rep (ZipList a) x -> ZipList a

NFData a => NFData (ZipList a)

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: ZipList a -> ()

Wrapped (ZipList a)

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (ZipList a)

Methods

_Wrapped' :: Iso' (ZipList a) (Unwrapped (ZipList a))

Container (ZipList a)

Defined in Universum.Container.Class

Associated Types

type Element (ZipList a)

Methods

toList :: ZipList a -> [Element (ZipList a)]

null :: ZipList a -> Bool

foldr :: (Element (ZipList a) -> b -> b) -> b -> ZipList a -> b

foldl :: (b -> Element (ZipList a) -> b) -> b -> ZipList a -> b

foldl' :: (b -> Element (ZipList a) -> b) -> b -> ZipList a -> b

length :: ZipList a -> Int

elem :: Element (ZipList a) -> ZipList a -> Bool

maximum :: ZipList a -> Element (ZipList a)

minimum :: ZipList a -> Element (ZipList a)

foldMap :: Monoid m => (Element (ZipList a) -> m) -> ZipList a -> m

fold :: ZipList a -> Element (ZipList a)

foldr' :: (Element (ZipList a) -> b -> b) -> b -> ZipList a -> b

foldr1 :: (Element (ZipList a) -> Element (ZipList a) -> Element (ZipList a)) -> ZipList a -> Element (ZipList a)

foldl1 :: (Element (ZipList a) -> Element (ZipList a) -> Element (ZipList a)) -> ZipList a -> Element (ZipList a)

notElem :: Element (ZipList a) -> ZipList a -> Bool

all :: (Element (ZipList a) -> Bool) -> ZipList a -> Bool

any :: (Element (ZipList a) -> Bool) -> ZipList a -> Bool

and :: ZipList a -> Bool

or :: ZipList a -> Bool

find :: (Element (ZipList a) -> Bool) -> ZipList a -> Maybe (Element (ZipList a))

safeHead :: ZipList a -> Maybe (Element (ZipList a))

Generic1 ZipList

Since: base-4.7.0.0

Defined in Control.Applicative

Associated Types

type Rep1 ZipList :: k -> Type

Methods

from1 :: forall (a :: k). ZipList a -> Rep1 ZipList a

to1 :: forall (a :: k). Rep1 ZipList a -> ZipList a

t ~ ZipList b => Rewrapped (ZipList a) t

Defined in Control.Lens.Wrapped

type Rep (ZipList a)

Defined in Control.Applicative

type Rep (ZipList a) = D1 ('MetaData "ZipList" "Control.Applicative" "base" 'True) (C1 ('MetaCons "ZipList" 'PrefixI 'True) (S1 ('MetaSel ('Just "getZipList") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 [a])))

type Item (ZipList a)

Defined in GHC.Exts

type Item (ZipList a) = a

type Unwrapped (ZipList a)

Defined in Control.Lens.Wrapped

type Unwrapped (ZipList a) = [a]

type Element (ZipList a)

Defined in Universum.Container.Class

type Element (ZipList a) = ElementDefault (ZipList a)

type Rep1 ZipList

Defined in Control.Applicative

type Rep1 ZipList = D1 ('MetaData "ZipList" "Control.Applicative" "base" 'True) (C1 ('MetaCons "ZipList" 'PrefixI 'True) (S1 ('MetaSel ('Just "getZipList") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 [])))

(&&&) :: Arrow a => a b c -> a b c' -> a b (c, c') infixr 3

Fanout: send the input to both argument arrows and combine their output.

The default definition may be overridden with a more efficient version if desired.

newtype Identity a

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

Since: base-4.8.0.0

Constructors

Identity

Fields

• runIdentity :: a

Instances

Monad Identity

Since: base-4.8.0.0

Defined in Data.Functor.Identity

Methods

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

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

return :: a -> Identity a

Functor Identity

Since: base-4.8.0.0

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

Defined in Data.Functor.Identity

Methods

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

Applicative Identity

Since: base-4.8.0.0

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

Defined in Data.Functor.Identity

Methods

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

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

Since: base-4.9.0.0

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)

Representable Identity

Defined in Data.Functor.Rep

Associated Types

type Rep Identity

Methods

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

index :: Identity a -> Rep Identity -> a

NFData1 Identity

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Identity a -> ()

Hashable1 Identity

Defined in Data.Hashable.Class

Methods

liftHashWithSalt :: (Int -> a -> Int) -> Int -> Identity a -> Int

Cosieve ReifiedGetter Identity

Defined in Control.Lens.Reified

Methods

cosieve :: ReifiedGetter a b -> Identity a -> b

Sieve ReifiedGetter Identity

Defined in Control.Lens.Reified

Methods

sieve :: ReifiedGetter a b -> a -> Identity b

Bounded a => Bounded (Identity a)

Since: base-4.9.0.0

Defined in Data.Functor.Identity

Methods

minBound :: Identity a

maxBound :: Identity a

Enum a => Enum (Identity a)

Since: base-4.9.0.0

Defined in Data.Functor.Identity

Methods

succ :: Identity a -> Identity a

pred :: Identity a -> Identity a

toEnum :: Int -> Identity a

fromEnum :: Identity a -> Int

enumFrom :: Identity a -> [Identity a]

enumFromThen :: Identity a -> Identity a -> [Identity a]

enumFromTo :: Identity a -> Identity a -> [Identity a]

enumFromThenTo :: Identity a -> Identity a -> Identity a -> [Identity a]

Eq a => Eq (Identity a)

Since: base-4.8.0.0

Defined in Data.Functor.Identity

Methods

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

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

Floating a => Floating (Identity a)

Since: base-4.9.0.0

Defined in Data.Functor.Identity

Methods

pi :: Identity a

exp :: Identity a -> Identity a

log :: Identity a -> Identity a

sqrt :: Identity a -> Identity a

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

logBase :: Identity a -> Identity a -> Identity a

sin :: Identity a -> Identity a

cos :: Identity a -> Identity a

tan :: Identity a -> Identity a

asin :: Identity a -> Identity a

acos :: Identity a -> Identity a

atan :: Identity a -> Identity a

sinh :: Identity a -> Identity a

cosh :: Identity a -> Identity a

tanh :: Identity a -> Identity a

asinh :: Identity a -> Identity a

acosh :: Identity a -> Identity a

atanh :: Identity a -> Identity a

log1p :: Identity a -> Identity a

expm1 :: Identity a -> Identity a

log1pexp :: Identity a -> Identity a

log1mexp :: Identity a -> Identity a

Fractional a => Fractional (Identity a)

Since: base-4.9.0.0

Defined in Data.Functor.Identity

Methods

(/) :: Identity a -> Identity a -> Identity a

recip :: Identity a -> Identity a

fromRational :: Rational -> Identity a

Integral a => Integral (Identity a)

Since: base-4.9.0.0

Defined in Data.Functor.Identity

Methods

quot :: Identity a -> Identity a -> Identity a

rem :: Identity a -> Identity a -> Identity a

div :: Identity a -> Identity a -> Identity a

mod :: Identity a -> Identity a -> Identity a

quotRem :: Identity a -> Identity a -> (Identity a, Identity a)

divMod :: Identity a -> Identity a -> (Identity a, Identity a)

toInteger :: Identity a -> Integer

Num a => Num (Identity a)

Since: base-4.9.0.0

Defined in Data.Functor.Identity

Methods

(+) :: Identity a -> Identity a -> Identity a

(-) :: Identity a -> Identity a -> Identity a

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

negate :: Identity a -> Identity a

abs :: Identity a -> Identity a

signum :: Identity a -> Identity a

fromInteger :: Integer -> Identity a

Ord a => Ord (Identity a)

Since: base-4.8.0.0

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

Defined in Data.Functor.Identity

Methods

readsPrec :: Int -> ReadS (Identity a)

readList :: ReadS [Identity a]

readPrec :: ReadPrec (Identity a)

readListPrec :: ReadPrec [Identity a]

Real a => Real (Identity a)

Since: base-4.9.0.0

Defined in Data.Functor.Identity

Methods

toRational :: Identity a -> Rational

RealFloat a => RealFloat (Identity a)

Since: base-4.9.0.0

Defined in Data.Functor.Identity

Methods

floatRadix :: Identity a -> Integer

floatDigits :: Identity a -> Int

floatRange :: Identity a -> (Int, Int)

decodeFloat :: Identity a -> (Integer, Int)

encodeFloat :: Integer -> Int -> Identity a

exponent :: Identity a -> Int

significand :: Identity a -> Identity a

scaleFloat :: Int -> Identity a -> Identity a

isNaN :: Identity a -> Bool

isInfinite :: Identity a -> Bool

isDenormalized :: Identity a -> Bool

isNegativeZero :: Identity a -> Bool

isIEEE :: Identity a -> Bool

atan2 :: Identity a -> Identity a -> Identity a

RealFrac a => RealFrac (Identity a)

Since: base-4.9.0.0

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

Defined in Data.Functor.Identity

Methods

showsPrec :: Int -> Identity a -> ShowS

show :: Identity a -> String

showList :: [Identity a] -> ShowS

Ix a => Ix (Identity a)

Since: base-4.9.0.0

Defined in Data.Functor.Identity

Methods

range :: (Identity a, Identity a) -> [Identity a]

index :: (Identity a, Identity a) -> Identity a -> Int

unsafeIndex :: (Identity a, Identity a) -> Identity a -> Int

inRange :: (Identity a, Identity a) -> Identity a -> Bool

rangeSize :: (Identity a, Identity a) -> Int

unsafeRangeSize :: (Identity a, Identity a) -> Int

IsString a => IsString (Identity a)

Since: base-4.9.0.0

Defined in Data.String

Methods

fromString :: String -> Identity a

Generic (Identity a)

Since: base-4.8.0.0

Defined in Data.Functor.Identity

Associated Types

type Rep (Identity a) :: Type -> Type

Methods

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

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

Semigroup a => Semigroup (Identity a)

Since: base-4.9.0.0

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)

Since: base-4.9.0.0

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)

Since: base-4.9.0.0

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)

Since: base-4.9.0.0

Defined in Data.Functor.Identity

Methods

(.&.) :: Identity a -> Identity a -> Identity a

(.|.) :: Identity a -> Identity a -> Identity a

xor :: Identity a -> Identity a -> Identity a

complement :: Identity a -> Identity a

shift :: Identity a -> Int -> Identity a

rotate :: Identity a -> Int -> Identity a

zeroBits :: Identity a

bit :: Int -> Identity a

setBit :: Identity a -> Int -> Identity a

clearBit :: Identity a -> Int -> Identity a

complementBit :: Identity a -> Int -> Identity a

testBit :: Identity a -> Int -> Bool

bitSizeMaybe :: Identity a -> Maybe Int

bitSize :: Identity a -> Int

isSigned :: Identity a -> Bool

shiftL :: Identity a -> Int -> Identity a

unsafeShiftL :: Identity a -> Int -> Identity a

shiftR :: Identity a -> Int -> Identity a

unsafeShiftR :: Identity a -> Int -> Identity a

rotateL :: Identity a -> Int -> Identity a

rotateR :: Identity a -> Int -> Identity a

popCount :: Identity a -> Int

FiniteBits a => FiniteBits (Identity a)

Since: base-4.9.0.0

Defined in Data.Functor.Identity

Methods

finiteBitSize :: Identity a -> Int

countLeadingZeros :: Identity a -> Int

countTrailingZeros :: Identity a -> Int

NFData a => NFData (Identity a)

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: Identity a -> ()

Hashable a => Hashable (Identity a)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Identity a -> Int

hash :: Identity a -> Int

Ixed (Identity a)

Defined in Control.Lens.At

Methods

ix :: Index (Identity a) -> Traversal' (Identity a) (IxValue (Identity a))

Wrapped (Identity a)

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Identity a)

Methods

_Wrapped' :: Iso' (Identity a) (Unwrapped (Identity a))

(TypeError (DisallowInstance "Identity") :: Constraint) => Container (Identity a)

Defined in Universum.Container.Class

Associated Types

type Element (Identity a)

Methods

toList :: Identity a -> [Element (Identity a)]

null :: Identity a -> Bool

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

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

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

length :: Identity a -> Int

elem :: Element (Identity a) -> Identity a -> Bool

maximum :: Identity a -> Element (Identity a)

minimum :: Identity a -> Element (Identity a)

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

fold :: Identity a -> Element (Identity a)

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

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

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

notElem :: Element (Identity a) -> Identity a -> Bool

all :: (Element (Identity a) -> Bool) -> Identity a -> Bool

any :: (Element (Identity a) -> Bool) -> Identity a -> Bool

and :: Identity a -> Bool

or :: Identity a -> Bool

find :: (Element (Identity a) -> Bool) -> Identity a -> Maybe (Element (Identity a))

safeHead :: Identity a -> Maybe (Element (Identity a))

Generic1 Identity

Since: base-4.8.0.0

Defined in Data.Functor.Identity

Associated Types

type Rep1 Identity :: k -> Type

Methods

from1 :: forall (a :: k). Identity a -> Rep1 Identity a

to1 :: forall (a :: k). Rep1 Identity a -> Identity a

t ~ Identity b => Rewrapped (Identity a) t

Defined in Control.Lens.Wrapped

Field1 (Identity a) (Identity b) a b

Defined in Control.Lens.Tuple

Methods

_1 :: Lens (Identity a) (Identity b) a b

type Rep Identity

Defined in Data.Functor.Rep

type Rep Identity = ()

type Rep (Identity a)

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 Index (Identity a)

Defined in Control.Lens.At

type Index (Identity a) = ()

type IxValue (Identity a)

Defined in Control.Lens.At

type IxValue (Identity a) = a

type Unwrapped (Identity a)

Defined in Control.Lens.Wrapped

type Unwrapped (Identity a) = a

type Element (Identity a)

Defined in Universum.Container.Class

type Element (Identity a) = ElementDefault (Identity a)

type Rep1 Identity

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))

stderr :: Handle

A handle managing output to the Haskell program's standard error channel.

stdin :: Handle

A handle managing input from the Haskell program's standard input channel.

withFrozenCallStack :: HasCallStack => (HasCallStack => a) -> a

Perform some computation without adding new entries to the CallStack.

Since: base-4.9.0.0

callStack :: HasCallStack => CallStack

Return the current CallStack.

Does *not* include the call-site of callStack.

Since: base-4.9.0.0

writeTVar :: TVar a -> a -> STM ()

Write the supplied value into a TVar.

readTVar :: TVar a -> STM a

Return the current value stored in a TVar.

newTVar :: a -> STM (TVar a)

Create a new TVar holding a value supplied

data STM a

A monad supporting atomic memory transactions.

Instances

Monad STM

Since: base-4.3.0.0

Defined in GHC.Conc.Sync

Methods

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

(>>) :: STM a -> STM b -> STM b

return :: a -> STM a

Functor STM

Since: base-4.3.0.0

Defined in GHC.Conc.Sync

Methods

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

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

Applicative STM

Since: base-4.8.0.0

Defined in GHC.Conc.Sync

Methods

pure :: a -> STM a

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

liftA2 :: (a -> b -> c) -> STM a -> STM b -> STM c

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

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

Alternative STM

Since: base-4.8.0.0

Defined in GHC.Conc.Sync

Methods

empty :: STM a

(<|>) :: STM a -> STM a -> STM a

some :: STM a -> STM [a]

many :: STM a -> STM [a]

MonadPlus STM

Since: base-4.3.0.0

Defined in GHC.Conc.Sync

Methods

mzero :: STM a

mplus :: STM a -> STM a -> STM a

MonadThrow STM

Defined in Control.Monad.Catch

Methods

throwM :: Exception e => e -> STM a

MonadCatch STM

Defined in Control.Monad.Catch

Methods

catch :: Exception e => STM a -> (e -> STM a) -> STM a

data TVar a

Shared memory locations that support atomic memory transactions.

Instances

Eq (TVar a)

Since: base-4.8.0.0

Defined in GHC.Conc.Sync

Methods

(==) :: TVar a -> TVar a -> Bool

(/=) :: TVar a -> TVar a -> Bool

stdout :: Handle

A handle managing output to the Haskell program's standard output channel.

data IORef a

A mutable variable in the IO monad

Instances

NFData1 IORef

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> IORef a -> ()

Eq (IORef a)

Pointer equality.

Since: base-4.0.0.0

Defined in GHC.IORef

Methods

(==) :: IORef a -> IORef a -> Bool

(/=) :: IORef a -> IORef a -> Bool

NFData (IORef a)

NOTE: Only strict in the reference and not the referenced value.

Since: deepseq-1.4.2.0

Defined in Control.DeepSeq

Methods

rnf :: IORef a -> ()

type FilePath = String

File and directory names are values of type String, whose precise meaning is operating system dependent. Files can be opened, yielding a handle which can then be used to operate on the contents of that file.

prettyCallStack :: CallStack -> String

Pretty print a CallStack.

Since: base-4.9.0.0

prettySrcLoc :: SrcLoc -> String

Pretty print a SrcLoc.

Since: base-4.9.0.0

class (Typeable e, Show e) => Exception e where

Any type that you wish to throw or catch as an exception must be an instance of the Exception class. The simplest case is a new exception type directly below the root:

data MyException = ThisException | ThatException
    deriving Show

instance Exception MyException

The default method definitions in the Exception class do what we need in this case. You can now throw and catch ThisException and ThatException as exceptions:

*Main> throw ThisException `catch` \e -> putStrLn ("Caught " ++ show (e :: MyException))
Caught ThisException

In more complicated examples, you may wish to define a whole hierarchy of exceptions:

---------------------------------------------------------------------
-- Make the root exception type for all the exceptions in a compiler

data SomeCompilerException = forall e . Exception e => SomeCompilerException e

instance Show SomeCompilerException where
    show (SomeCompilerException e) = show e

instance Exception SomeCompilerException

compilerExceptionToException :: Exception e => e -> SomeException
compilerExceptionToException = toException . SomeCompilerException

compilerExceptionFromException :: Exception e => SomeException -> Maybe e
compilerExceptionFromException x = do
    SomeCompilerException a <- fromException x
    cast a

---------------------------------------------------------------------
-- Make a subhierarchy for exceptions in the frontend of the compiler

data SomeFrontendException = forall e . Exception e => SomeFrontendException e

instance Show SomeFrontendException where
    show (SomeFrontendException e) = show e

instance Exception SomeFrontendException where
    toException = compilerExceptionToException
    fromException = compilerExceptionFromException

frontendExceptionToException :: Exception e => e -> SomeException
frontendExceptionToException = toException . SomeFrontendException

frontendExceptionFromException :: Exception e => SomeException -> Maybe e
frontendExceptionFromException x = do
    SomeFrontendException a <- fromException x
    cast a

---------------------------------------------------------------------
-- Make an exception type for a particular frontend compiler exception

data MismatchedParentheses = MismatchedParentheses
    deriving Show

instance Exception MismatchedParentheses where
    toException   = frontendExceptionToException
    fromException = frontendExceptionFromException

We can now catch a MismatchedParentheses exception as MismatchedParentheses, SomeFrontendException or SomeCompilerException, but not other types, e.g. IOException:

*Main> throw MismatchedParentheses `catch` \e -> putStrLn ("Caught " ++ show (e :: MismatchedParentheses))
Caught MismatchedParentheses
*Main> throw MismatchedParentheses `catch` \e -> putStrLn ("Caught " ++ show (e :: SomeFrontendException))
Caught MismatchedParentheses
*Main> throw MismatchedParentheses `catch` \e -> putStrLn ("Caught " ++ show (e :: SomeCompilerException))
Caught MismatchedParentheses
*Main> throw MismatchedParentheses `catch` \e -> putStrLn ("Caught " ++ show (e :: IOException))
*** Exception: MismatchedParentheses

Minimal complete definition

Nothing

Methods

toException :: e -> SomeException

fromException :: SomeException -> Maybe e

displayException :: e -> String

Render this exception value in a human-friendly manner.

Default implementation: show.

Since: base-4.8.0.0

Instances

Exception Void

Since: base-4.8.0.0

Defined in Data.Void

Methods

toException :: Void -> SomeException

fromException :: SomeException -> Maybe Void

displayException :: Void -> String

Exception BlockedIndefinitelyOnMVar

Since: base-4.1.0.0

Defined in GHC.IO.Exception

Methods

toException :: BlockedIndefinitelyOnMVar -> SomeException

fromException :: SomeException -> Maybe BlockedIndefinitelyOnMVar

displayException :: BlockedIndefinitelyOnMVar -> String

Exception BlockedIndefinitelyOnSTM

Since: base-4.1.0.0

Defined in GHC.IO.Exception

Methods

toException :: BlockedIndefinitelyOnSTM -> SomeException

fromException :: SomeException -> Maybe BlockedIndefinitelyOnSTM

displayException :: BlockedIndefinitelyOnSTM -> String

Exception Deadlock

Since: base-4.1.0.0

Defined in GHC.IO.Exception

Methods

toException :: Deadlock -> SomeException

fromException :: SomeException -> Maybe Deadlock

displayException :: Deadlock -> String

Exception AllocationLimitExceeded

Since: base-4.8.0.0

Defined in GHC.IO.Exception

Methods

toException :: AllocationLimitExceeded -> SomeException

fromException :: SomeException -> Maybe AllocationLimitExceeded

displayException :: AllocationLimitExceeded -> String

Exception CompactionFailed

Since: base-4.10.0.0

Defined in GHC.IO.Exception

Methods

toException :: CompactionFailed -> SomeException

fromException :: SomeException -> Maybe CompactionFailed

displayException :: CompactionFailed -> String

Exception AssertionFailed

Since: base-4.1.0.0

Defined in GHC.IO.Exception

Methods

toException :: AssertionFailed -> SomeException

fromException :: SomeException -> Maybe AssertionFailed

displayException :: AssertionFailed -> String

Exception SomeAsyncException

Since: base-4.7.0.0

Defined in GHC.IO.Exception

Methods

toException :: SomeAsyncException -> SomeException

fromException :: SomeException -> Maybe SomeAsyncException

displayException :: SomeAsyncException -> String

Exception AsyncException

Since: base-4.7.0.0

Defined in GHC.IO.Exception

Methods

toException :: AsyncException -> SomeException

fromException :: SomeException -> Maybe AsyncException

displayException :: AsyncException -> String

Exception ArrayException

Since: base-4.1.0.0

Defined in GHC.IO.Exception

Methods

toException :: ArrayException -> SomeException

fromException :: SomeException -> Maybe ArrayException

displayException :: ArrayException -> String

Exception FixIOException

Since: base-4.11.0.0

Defined in GHC.IO.Exception

Methods

toException :: FixIOException -> SomeException

fromException :: SomeException -> Maybe FixIOException

displayException :: FixIOException -> String

Exception ExitCode

Since: base-4.1.0.0

Defined in GHC.IO.Exception

Methods

toException :: ExitCode -> SomeException

fromException :: SomeException -> Maybe ExitCode

displayException :: ExitCode -> String

Exception IOException

Since: base-4.1.0.0

Defined in GHC.IO.Exception

Methods

toException :: IOException -> SomeException

fromException :: SomeException -> Maybe IOException

displayException :: IOException -> String

Exception ErrorCall

Since: base-4.0.0.0

Defined in GHC.Exception

Methods

toException :: ErrorCall -> SomeException

fromException :: SomeException -> Maybe ErrorCall

displayException :: ErrorCall -> String

Exception ArithException

Since: base-4.0.0.0

Defined in GHC.Exception.Type

Methods

toException :: ArithException -> SomeException

fromException :: SomeException -> Maybe ArithException

displayException :: ArithException -> String

Exception SomeException

Since: base-3.0

Defined in GHC.Exception.Type

Methods

toException :: SomeException -> SomeException

fromException :: SomeException -> Maybe SomeException

displayException :: SomeException -> String

Exception StringException

Defined in Control.Exception.Safe

Methods

toException :: StringException -> SomeException

fromException :: SomeException -> Maybe StringException

displayException :: StringException -> String

Exception SyncExceptionWrapper

Defined in Control.Exception.Safe

Methods

toException :: SyncExceptionWrapper -> SomeException

fromException :: SomeException -> Maybe SyncExceptionWrapper

displayException :: SyncExceptionWrapper -> String

Exception AsyncExceptionWrapper

Defined in Control.Exception.Safe

Methods

toException :: AsyncExceptionWrapper -> SomeException

fromException :: SomeException -> Maybe AsyncExceptionWrapper

displayException :: AsyncExceptionWrapper -> String

Exception UnicodeException

Defined in Data.Text.Encoding.Error

Methods

toException :: UnicodeException -> SomeException

fromException :: SomeException -> Maybe UnicodeException

displayException :: UnicodeException -> String

Exception Bug

Defined in Universum.Exception

Methods

toException :: Bug -> SomeException

fromException :: SomeException -> Maybe Bug

displayException :: Bug -> String

newtype Const a (b :: k)

The Const functor.

Constructors

Const

Fields

• getConst :: a

Instances

Generic1 (Const a :: k -> Type)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Associated Types

type Rep1 (Const a) :: k -> Type

Methods

from1 :: forall (a0 :: k0). Const a a0 -> Rep1 (Const a) a0

to1 :: forall (a0 :: k0). Rep1 (Const a) a0 -> Const a a0

Bifunctor (Const :: Type -> Type -> Type)

Since: base-4.8.0.0

Defined in Data.Bifunctor

Methods

bimap :: (a -> b) -> (c -> d) -> Const a c -> Const b d

first :: (a -> b) -> Const a c -> Const b c

second :: (b -> c) -> Const a b -> Const a c

NFData2 (Const :: Type -> Type -> Type)

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

liftRnf2 :: (a -> ()) -> (b -> ()) -> Const a b -> ()

Hashable2 (Const :: Type -> Type -> Type)

Defined in Data.Hashable.Class

Methods

liftHashWithSalt2 :: (Int -> a -> Int) -> (Int -> b -> Int) -> Int -> Const a b -> Int

Functor (Const m :: Type -> Type)

Since: base-2.1

Defined in Data.Functor.Const

Methods

fmap :: (a -> b) -> Const m a -> Const m b

(<$) :: a -> Const m b -> Const m a

Monoid m => Applicative (Const m :: Type -> Type)

Since: base-2.0.1

Defined in Data.Functor.Const

Methods

pure :: a -> Const m a

(<*>) :: Const m (a -> b) -> Const m a -> Const m b

liftA2 :: (a -> b -> c) -> Const m a -> Const m b -> Const m c

(*>) :: Const m a -> Const m b -> Const m b

(<*) :: Const m a -> Const m b -> Const m a

Foldable (Const m :: Type -> Type)

Since: base-4.7.0.0

Defined in Data.Functor.Const

Methods

fold :: Monoid m0 => Const m m0 -> m0

foldMap :: Monoid m0 => (a -> m0) -> Const m a -> m0

foldMap' :: Monoid m0 => (a -> m0) -> Const m a -> m0

foldr :: (a -> b -> b) -> b -> Const m a -> b

foldr' :: (a -> b -> b) -> b -> Const m a -> b

foldl :: (b -> a -> b) -> b -> Const m a -> b

foldl' :: (b -> a -> b) -> b -> Const m a -> b

foldr1 :: (a -> a -> a) -> Const m a -> a

foldl1 :: (a -> a -> a) -> Const m a -> a

toList :: Const m a -> [a]

null :: Const m a -> Bool

length :: Const m a -> Int

elem :: Eq a => a -> Const m a -> Bool

maximum :: Ord a => Const m a -> a

minimum :: Ord a => Const m a -> a

sum :: Num a => Const m a -> a

product :: Num a => Const m a -> a

Traversable (Const m :: Type -> Type)

Since: base-4.7.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> Const m a -> f (Const m b)

sequenceA :: Applicative f => Const m (f a) -> f (Const m a)

mapM :: Monad m0 => (a -> m0 b) -> Const m a -> m0 (Const m b)

sequence :: Monad m0 => Const m (m0 a) -> m0 (Const m a)

NFData a => NFData1 (Const a :: Type -> Type)

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

liftRnf :: (a0 -> ()) -> Const a a0 -> ()

Hashable a => Hashable1 (Const a :: Type -> Type)

Defined in Data.Hashable.Class

Methods

liftHashWithSalt :: (Int -> a0 -> Int) -> Int -> Const a a0 -> Int

Bounded a => Bounded (Const a b)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Methods

minBound :: Const a b

maxBound :: Const a b

Enum a => Enum (Const a b)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Methods

succ :: Const a b -> Const a b

pred :: Const a b -> Const a b

toEnum :: Int -> Const a b

fromEnum :: Const a b -> Int

enumFrom :: Const a b -> [Const a b]

enumFromThen :: Const a b -> Const a b -> [Const a b]

enumFromTo :: Const a b -> Const a b -> [Const a b]

enumFromThenTo :: Const a b -> Const a b -> Const a b -> [Const a b]

Eq a => Eq (Const a b)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Methods

(==) :: Const a b -> Const a b -> Bool

(/=) :: Const a b -> Const a b -> Bool

Floating a => Floating (Const a b)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Methods

pi :: Const a b

exp :: Const a b -> Const a b

log :: Const a b -> Const a b

sqrt :: Const a b -> Const a b

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

logBase :: Const a b -> Const a b -> Const a b

sin :: Const a b -> Const a b

cos :: Const a b -> Const a b

tan :: Const a b -> Const a b

asin :: Const a b -> Const a b

acos :: Const a b -> Const a b

atan :: Const a b -> Const a b

sinh :: Const a b -> Const a b

cosh :: Const a b -> Const a b

tanh :: Const a b -> Const a b

asinh :: Const a b -> Const a b

acosh :: Const a b -> Const a b

atanh :: Const a b -> Const a b

log1p :: Const a b -> Const a b

expm1 :: Const a b -> Const a b

log1pexp :: Const a b -> Const a b

log1mexp :: Const a b -> Const a b

Fractional a => Fractional (Const a b)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Methods

(/) :: Const a b -> Const a b -> Const a b

recip :: Const a b -> Const a b

fromRational :: Rational -> Const a b

Integral a => Integral (Const a b)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Methods

quot :: Const a b -> Const a b -> Const a b

rem :: Const a b -> Const a b -> Const a b

div :: Const a b -> Const a b -> Const a b

mod :: Const a b -> Const a b -> Const a b

quotRem :: Const a b -> Const a b -> (Const a b, Const a b)

divMod :: Const a b -> Const a b -> (Const a b, Const a b)

toInteger :: Const a b -> Integer

Num a => Num (Const a b)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Methods

(+) :: Const a b -> Const a b -> Const a b

(-) :: Const a b -> Const a b -> Const a b

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

negate :: Const a b -> Const a b

abs :: Const a b -> Const a b

signum :: Const a b -> Const a b

fromInteger :: Integer -> Const a b

Ord a => Ord (Const a b)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Methods

compare :: Const a b -> Const a b -> Ordering

(<) :: Const a b -> Const a b -> Bool

(<=) :: Const a b -> Const a b -> Bool

(>) :: Const a b -> Const a b -> Bool

(>=) :: Const a b -> Const a b -> Bool

max :: Const a b -> Const a b -> Const a b

min :: Const a b -> Const a b -> Const a b

Read a => Read (Const a b)

This instance would be equivalent to the derived instances of the Const newtype if the getConst field were removed

Since: base-4.8.0.0

Defined in Data.Functor.Const

Methods

readsPrec :: Int -> ReadS (Const a b)

readList :: ReadS [Const a b]

readPrec :: ReadPrec (Const a b)

readListPrec :: ReadPrec [Const a b]

Real a => Real (Const a b)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Methods

toRational :: Const a b -> Rational

RealFloat a => RealFloat (Const a b)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Methods

floatRadix :: Const a b -> Integer

floatDigits :: Const a b -> Int

floatRange :: Const a b -> (Int, Int)

decodeFloat :: Const a b -> (Integer, Int)

encodeFloat :: Integer -> Int -> Const a b

exponent :: Const a b -> Int

significand :: Const a b -> Const a b

scaleFloat :: Int -> Const a b -> Const a b

isNaN :: Const a b -> Bool

isInfinite :: Const a b -> Bool

isDenormalized :: Const a b -> Bool

isNegativeZero :: Const a b -> Bool

isIEEE :: Const a b -> Bool

atan2 :: Const a b -> Const a b -> Const a b

RealFrac a => RealFrac (Const a b)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Methods

properFraction :: Integral b0 => Const a b -> (b0, Const a b)

truncate :: Integral b0 => Const a b -> b0

round :: Integral b0 => Const a b -> b0

ceiling :: Integral b0 => Const a b -> b0

floor :: Integral b0 => Const a b -> b0

Show a => Show (Const a b)

This instance would be equivalent to the derived instances of the Const newtype if the getConst field were removed

Since: base-4.8.0.0

Defined in Data.Functor.Const

Methods

showsPrec :: Int -> Const a b -> ShowS

show :: Const a b -> String

showList :: [Const a b] -> ShowS

Ix a => Ix (Const a b)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Methods

range :: (Const a b, Const a b) -> [Const a b]

index :: (Const a b, Const a b) -> Const a b -> Int

unsafeIndex :: (Const a b, Const a b) -> Const a b -> Int

inRange :: (Const a b, Const a b) -> Const a b -> Bool

rangeSize :: (Const a b, Const a b) -> Int

unsafeRangeSize :: (Const a b, Const a b) -> Int

IsString a => IsString (Const a b)

Since: base-4.9.0.0

Defined in Data.String

Methods

fromString :: String -> Const a b

Generic (Const a b)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Associated Types

type Rep (Const a b) :: Type -> Type

Methods

from :: Const a b -> Rep (Const a b) x

to :: Rep (Const a b) x -> Const a b

Semigroup a => Semigroup (Const a b)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Methods

(<>) :: Const a b -> Const a b -> Const a b

sconcat :: NonEmpty (Const a b) -> Const a b

stimes :: Integral b0 => b0 -> Const a b -> Const a b

Monoid a => Monoid (Const a b)

Since: base-4.9.0.0

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

Storable a => Storable (Const a b)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Methods

sizeOf :: Const a b -> Int

alignment :: Const a b -> Int

peekElemOff :: Ptr (Const a b) -> Int -> IO (Const a b)

pokeElemOff :: Ptr (Const a b) -> Int -> Const a b -> IO ()

peekByteOff :: Ptr b0 -> Int -> IO (Const a b)

pokeByteOff :: Ptr b0 -> Int -> Const a b -> IO ()

peek :: Ptr (Const a b) -> IO (Const a b)

poke :: Ptr (Const a b) -> Const a b -> IO ()

Bits a => Bits (Const a b)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Methods

(.&.) :: Const a b -> Const a b -> Const a b

(.|.) :: Const a b -> Const a b -> Const a b

xor :: Const a b -> Const a b -> Const a b

complement :: Const a b -> Const a b

shift :: Const a b -> Int -> Const a b

rotate :: Const a b -> Int -> Const a b

zeroBits :: Const a b

bit :: Int -> Const a b

setBit :: Const a b -> Int -> Const a b

clearBit :: Const a b -> Int -> Const a b

complementBit :: Const a b -> Int -> Const a b

testBit :: Const a b -> Int -> Bool

bitSizeMaybe :: Const a b -> Maybe Int

bitSize :: Const a b -> Int

isSigned :: Const a b -> Bool

shiftL :: Const a b -> Int -> Const a b

unsafeShiftL :: Const a b -> Int -> Const a b

shiftR :: Const a b -> Int -> Const a b

unsafeShiftR :: Const a b -> Int -> Const a b

rotateL :: Const a b -> Int -> Const a b

rotateR :: Const a b -> Int -> Const a b

popCount :: Const a b -> Int

FiniteBits a => FiniteBits (Const a b)

Since: base-4.9.0.0

Defined in Data.Functor.Const

Methods

finiteBitSize :: Const a b -> Int

countLeadingZeros :: Const a b -> Int

countTrailingZeros :: Const a b -> Int

NFData a => NFData (Const a b)

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: Const a b -> ()

Hashable a => Hashable (Const a b)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Const a b -> Int

hash :: Const a b -> Int

Wrapped (Const a x)

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Const a x)

Methods

_Wrapped' :: Iso' (Const a x) (Unwrapped (Const a x))

Container (Const a b)

Defined in Universum.Container.Class

Associated Types

type Element (Const a b)

Methods

toList :: Const a b -> [Element (Const a b)]

null :: Const a b -> Bool

foldr :: (Element (Const a b) -> b0 -> b0) -> b0 -> Const a b -> b0

foldl :: (b0 -> Element (Const a b) -> b0) -> b0 -> Const a b -> b0

foldl' :: (b0 -> Element (Const a b) -> b0) -> b0 -> Const a b -> b0

length :: Const a b -> Int

elem :: Element (Const a b) -> Const a b -> Bool

maximum :: Const a b -> Element (Const a b)

minimum :: Const a b -> Element (Const a b)

foldMap :: Monoid m => (Element (Const a b) -> m) -> Const a b -> m

fold :: Const a b -> Element (Const a b)

foldr' :: (Element (Const a b) -> b0 -> b0) -> b0 -> Const a b -> b0

foldr1 :: (Element (Const a b) -> Element (Const a b) -> Element (Const a b)) -> Const a b -> Element (Const a b)

foldl1 :: (Element (Const a b) -> Element (Const a b) -> Element (Const a b)) -> Const a b -> Element (Const a b)

notElem :: Element (Const a b) -> Const a b -> Bool

all :: (Element (Const a b) -> Bool) -> Const a b -> Bool

any :: (Element (Const a b) -> Bool) -> Const a b -> Bool

and :: Const a b -> Bool

or :: Const a b -> Bool

find :: (Element (Const a b) -> Bool) -> Const a b -> Maybe (Element (Const a b))

safeHead :: Const a b -> Maybe (Element (Const a b))

t ~ Const a' x' => Rewrapped (Const a x) t

Defined in Control.Lens.Wrapped

type Rep1 (Const a :: k -> Type)

Defined in Data.Functor.Const

type Rep1 (Const a :: k -> Type) = D1 ('MetaData "Const" "Data.Functor.Const" "base" 'True) (C1 ('MetaCons "Const" 'PrefixI 'True) (S1 ('MetaSel ('Just "getConst") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

type Rep (Const a b)

Defined in Data.Functor.Const

type Rep (Const a b) = D1 ('MetaData "Const" "Data.Functor.Const" "base" 'True) (C1 ('MetaCons "Const" 'PrefixI 'True) (S1 ('MetaSel ('Just "getConst") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

type Unwrapped (Const a x)

Defined in Control.Lens.Wrapped

type Unwrapped (Const a x) = a

type Element (Const a b)

Defined in Universum.Container.Class

type Element (Const a b) = ElementDefault (Const a b)

minimumBy :: Foldable t => (a -> a -> Ordering) -> t a -> a

The least element of a non-empty structure with respect to the given comparison function.

maximumBy :: Foldable t => (a -> a -> Ordering) -> t a -> a

The largest element of a non-empty structure with respect to the given comparison function.

concatMap :: Foldable t => (a -> [b]) -> t a -> [b]

Map a function over all the elements of a container and concatenate the resulting lists.

concat :: Foldable t => t [a] -> [a]

The concatenation of all the elements of a container of lists.

foldlM :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m b

Monadic fold over the elements of a structure, associating to the left, i.e. from left to right.

foldrM :: (Foldable t, Monad m) => (a -> b -> m b) -> b -> t a -> m b

Monadic fold over the elements of a structure, associating to the right, i.e. from right to left.

newtype First a

Maybe monoid returning the leftmost non-Nothing value.

First a is isomorphic to Alt Maybe a, but precedes it historically.

>>> getFirst (First (Just "hello") <> First Nothing <> First (Just "world"))
Just "hello"

Use of this type is discouraged. Note the following equivalence:

Data.Monoid.First x === Maybe (Data.Semigroup.First x)

In addition to being equivalent in the structural sense, the two also have Monoid instances that behave the same. This type will be marked deprecated in GHC 8.8, and removed in GHC 8.10. Users are advised to use the variant from Data.Semigroup and wrap it in Maybe.

Constructors

First

Fields

• getFirst :: Maybe a

Instances

Monad First

Since: base-4.8.0.0

Defined in Data.Monoid

Methods

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

(>>) :: First a -> First b -> First b

return :: a -> First a

Functor First

Since: base-4.8.0.0

Defined in Data.Monoid

Methods

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

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

Applicative First

Since: base-4.8.0.0

Defined in Data.Monoid

Methods

pure :: a -> First a

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

liftA2 :: (a -> b -> c) -> First a -> First b -> First c

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

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

Foldable First

Since: base-4.8.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => First m -> m

foldMap :: Monoid m => (a -> m) -> First a -> m

foldMap' :: Monoid m => (a -> m) -> First a -> m

foldr :: (a -> b -> b) -> b -> First a -> b

foldr' :: (a -> b -> b) -> b -> First a -> b

foldl :: (b -> a -> b) -> b -> First a -> b

foldl' :: (b -> a -> b) -> b -> First a -> b

foldr1 :: (a -> a -> a) -> First a -> a

foldl1 :: (a -> a -> a) -> First a -> a

toList :: First a -> [a]

null :: First a -> Bool

length :: First a -> Int

elem :: Eq a => a -> First a -> Bool

maximum :: Ord a => First a -> a

minimum :: Ord a => First a -> a

sum :: Num a => First a -> a

product :: Num a => First a -> a

Traversable First

Since: base-4.8.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> First a -> f (First b)

sequenceA :: Applicative f => First (f a) -> f (First a)

mapM :: Monad m => (a -> m b) -> First a -> m (First b)

sequence :: Monad m => First (m a) -> m (First a)

NFData1 First

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> First a -> ()

Eq a => Eq (First a)

Since: base-2.1

Defined in Data.Monoid

Methods

(==) :: First a -> First a -> Bool

(/=) :: First a -> First a -> Bool

Ord a => Ord (First a)

Since: base-2.1

Defined in Data.Monoid

Methods

compare :: First a -> First a -> Ordering

(<) :: First a -> First a -> Bool

(<=) :: First a -> First a -> Bool

(>) :: First a -> First a -> Bool

(>=) :: First a -> First a -> Bool

max :: First a -> First a -> First a

min :: First a -> First a -> First a

Read a => Read (First a)

Since: base-2.1

Defined in Data.Monoid

Methods

readsPrec :: Int -> ReadS (First a)

readList :: ReadS [First a]

readPrec :: ReadPrec (First a)

readListPrec :: ReadPrec [First a]

Show a => Show (First a)

Since: base-2.1

Defined in Data.Monoid

Methods

showsPrec :: Int -> First a -> ShowS

show :: First a -> String

showList :: [First a] -> ShowS

Generic (First a)

Since: base-4.7.0.0

Defined in Data.Monoid

Associated Types

type Rep (First a) :: Type -> Type

Methods

from :: First a -> Rep (First a) x

to :: Rep (First a) x -> First a

Semigroup (First a)

Since: base-4.9.0.0

Defined in Data.Monoid

Methods

(<>) :: First a -> First a -> First a

sconcat :: NonEmpty (First a) -> First a

stimes :: Integral b => b -> First a -> First a

Monoid (First a)

Since: base-2.1

Defined in Data.Monoid

Methods

mempty :: First a

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

mconcat :: [First a] -> First a

NFData a => NFData (First a)

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: First a -> ()

Wrapped (First a)

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (First a)

Methods

_Wrapped' :: Iso' (First a) (Unwrapped (First a))

Container (First a)

Defined in Universum.Container.Class

Associated Types

type Element (First a)

Methods

toList :: First a -> [Element (First a)]

null :: First a -> Bool

foldr :: (Element (First a) -> b -> b) -> b -> First a -> b

foldl :: (b -> Element (First a) -> b) -> b -> First a -> b

foldl' :: (b -> Element (First a) -> b) -> b -> First a -> b

length :: First a -> Int

elem :: Element (First a) -> First a -> Bool

maximum :: First a -> Element (First a)

minimum :: First a -> Element (First a)

foldMap :: Monoid m => (Element (First a) -> m) -> First a -> m

fold :: First a -> Element (First a)

foldr' :: (Element (First a) -> b -> b) -> b -> First a -> b

foldr1 :: (Element (First a) -> Element (First a) -> Element (First a)) -> First a -> Element (First a)

foldl1 :: (Element (First a) -> Element (First a) -> Element (First a)) -> First a -> Element (First a)

notElem :: Element (First a) -> First a -> Bool

all :: (Element (First a) -> Bool) -> First a -> Bool

any :: (Element (First a) -> Bool) -> First a -> Bool

and :: First a -> Bool

or :: First a -> Bool

find :: (Element (First a) -> Bool) -> First a -> Maybe (Element (First a))

safeHead :: First a -> Maybe (Element (First a))

Generic1 First

Since: base-4.7.0.0

Defined in Data.Monoid

Associated Types

type Rep1 First :: k -> Type

Methods

from1 :: forall (a :: k). First a -> Rep1 First a

to1 :: forall (a :: k). Rep1 First a -> First a

t ~ First b => Rewrapped (First a) t

Defined in Control.Lens.Wrapped

type Rep (First a)

Defined in Data.Monoid

type Rep (First a) = D1 ('MetaData "First" "Data.Monoid" "base" 'True) (C1 ('MetaCons "First" 'PrefixI 'True) (S1 ('MetaSel ('Just "getFirst") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (Maybe a))))

type Unwrapped (First a)

Defined in Control.Lens.Wrapped

type Unwrapped (First a) = Maybe a

type Element (First a)

Defined in Universum.Container.Class

type Element (First a) = ElementDefault (First a)

type Rep1 First

Defined in Data.Monoid

type Rep1 First = D1 ('MetaData "First" "Data.Monoid" "base" 'True) (C1 ('MetaCons "First" 'PrefixI 'True) (S1 ('MetaSel ('Just "getFirst") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 Maybe)))

newtype Last a

Maybe monoid returning the rightmost non-Nothing value.

Last a is isomorphic to Dual (First a), and thus to Dual (Alt Maybe a)

>>> getLast (Last (Just "hello") <> Last Nothing <> Last (Just "world"))
Just "world"

Use of this type is discouraged. Note the following equivalence:

Data.Monoid.Last x === Maybe (Data.Semigroup.Last x)

In addition to being equivalent in the structural sense, the two also have Monoid instances that behave the same. This type will be marked deprecated in GHC 8.8, and removed in GHC 8.10. Users are advised to use the variant from Data.Semigroup and wrap it in Maybe.

Constructors

Last

Fields

• getLast :: Maybe a

Instances

Monad Last

Since: base-4.8.0.0

Defined in Data.Monoid

Methods

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

(>>) :: Last a -> Last b -> Last b

return :: a -> Last a

Functor Last

Since: base-4.8.0.0

Defined in Data.Monoid

Methods

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

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

Applicative Last

Since: base-4.8.0.0

Defined in Data.Monoid

Methods

pure :: a -> Last a

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

liftA2 :: (a -> b -> c) -> Last a -> Last b -> Last c

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

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

Foldable Last

Since: base-4.8.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => Last m -> m

foldMap :: Monoid m => (a -> m) -> Last a -> m

foldMap' :: Monoid m => (a -> m) -> Last a -> m

foldr :: (a -> b -> b) -> b -> Last a -> b

foldr' :: (a -> b -> b) -> b -> Last a -> b

foldl :: (b -> a -> b) -> b -> Last a -> b

foldl' :: (b -> a -> b) -> b -> Last a -> b

foldr1 :: (a -> a -> a) -> Last a -> a

foldl1 :: (a -> a -> a) -> Last a -> a

toList :: Last a -> [a]

null :: Last a -> Bool

length :: Last a -> Int

elem :: Eq a => a -> Last a -> Bool

maximum :: Ord a => Last a -> a

minimum :: Ord a => Last a -> a

sum :: Num a => Last a -> a

product :: Num a => Last a -> a

Traversable Last

Since: base-4.8.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> Last a -> f (Last b)

sequenceA :: Applicative f => Last (f a) -> f (Last a)

mapM :: Monad m => (a -> m b) -> Last a -> m (Last b)

sequence :: Monad m => Last (m a) -> m (Last a)

NFData1 Last

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Last a -> ()

Eq a => Eq (Last a)

Since: base-2.1

Defined in Data.Monoid

Methods

(==) :: Last a -> Last a -> Bool

(/=) :: Last a -> Last a -> Bool

Ord a => Ord (Last a)

Since: base-2.1

Defined in Data.Monoid

Methods

compare :: Last a -> Last a -> Ordering

(<) :: Last a -> Last a -> Bool

(<=) :: Last a -> Last a -> Bool

(>) :: Last a -> Last a -> Bool

(>=) :: Last a -> Last a -> Bool

max :: Last a -> Last a -> Last a

min :: Last a -> Last a -> Last a

Read a => Read (Last a)

Since: base-2.1

Defined in Data.Monoid

Methods

readsPrec :: Int -> ReadS (Last a)

readList :: ReadS [Last a]

readPrec :: ReadPrec (Last a)

readListPrec :: ReadPrec [Last a]

Show a => Show (Last a)

Since: base-2.1

Defined in Data.Monoid

Methods

showsPrec :: Int -> Last a -> ShowS

show :: Last a -> String

showList :: [Last a] -> ShowS

Generic (Last a)

Since: base-4.7.0.0

Defined in Data.Monoid

Associated Types

type Rep (Last a) :: Type -> Type

Methods

from :: Last a -> Rep (Last a) x

to :: Rep (Last a) x -> Last a

Semigroup (Last a)

Since: base-4.9.0.0

Defined in Data.Monoid

Methods

(<>) :: Last a -> Last a -> Last a

sconcat :: NonEmpty (Last a) -> Last a

stimes :: Integral b => b -> Last a -> Last a

Monoid (Last a)

Since: base-2.1

Defined in Data.Monoid

Methods

mempty :: Last a

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

mconcat :: [Last a] -> Last a

NFData a => NFData (Last a)

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: Last a -> ()

Wrapped (Last a)

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Last a)

Methods

_Wrapped' :: Iso' (Last a) (Unwrapped (Last a))

Container (Last a)

Defined in Universum.Container.Class

Associated Types

type Element (Last a)

Methods

toList :: Last a -> [Element (Last a)]

null :: Last a -> Bool

foldr :: (Element (Last a) -> b -> b) -> b -> Last a -> b

foldl :: (b -> Element (Last a) -> b) -> b -> Last a -> b

foldl' :: (b -> Element (Last a) -> b) -> b -> Last a -> b

length :: Last a -> Int

elem :: Element (Last a) -> Last a -> Bool

maximum :: Last a -> Element (Last a)

minimum :: Last a -> Element (Last a)

foldMap :: Monoid m => (Element (Last a) -> m) -> Last a -> m

fold :: Last a -> Element (Last a)

foldr' :: (Element (Last a) -> b -> b) -> b -> Last a -> b

foldr1 :: (Element (Last a) -> Element (Last a) -> Element (Last a)) -> Last a -> Element (Last a)

foldl1 :: (Element (Last a) -> Element (Last a) -> Element (Last a)) -> Last a -> Element (Last a)

notElem :: Element (Last a) -> Last a -> Bool

all :: (Element (Last a) -> Bool) -> Last a -> Bool

any :: (Element (Last a) -> Bool) -> Last a -> Bool

and :: Last a -> Bool

or :: Last a -> Bool

find :: (Element (Last a) -> Bool) -> Last a -> Maybe (Element (Last a))

safeHead :: Last a -> Maybe (Element (Last a))

Generic1 Last

Since: base-4.7.0.0

Defined in Data.Monoid

Associated Types

type Rep1 Last :: k -> Type

Methods

from1 :: forall (a :: k). Last a -> Rep1 Last a

to1 :: forall (a :: k). Rep1 Last a -> Last a

t ~ Last b => Rewrapped (Last a) t

Defined in Control.Lens.Wrapped

type Rep (Last a)

Defined in Data.Monoid

type Rep (Last a) = D1 ('MetaData "Last" "Data.Monoid" "base" 'True) (C1 ('MetaCons "Last" 'PrefixI 'True) (S1 ('MetaSel ('Just "getLast") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (Maybe a))))

type Unwrapped (Last a)

Defined in Control.Lens.Wrapped

type Unwrapped (Last a) = Maybe a

type Element (Last a)

Defined in Universum.Container.Class

type Element (Last a) = ElementDefault (Last a)

type Rep1 Last

Defined in Data.Monoid

type Rep1 Last = D1 ('MetaData "Last" "Data.Monoid" "base" 'True) (C1 ('MetaCons "Last" 'PrefixI 'True) (S1 ('MetaSel ('Just "getLast") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 Maybe)))

stimesMonoid :: (Integral b, Monoid a) => b -> a -> a

This is a valid definition of stimes for a Monoid.

Unlike the default definition of stimes, it is defined for 0 and so it should be preferred where possible.

stimesIdempotent :: Integral b => b -> a -> a

This is a valid definition of stimes for an idempotent Semigroup.

When x <> x = x, this definition should be preferred, because it works in \(\mathcal{O}(1)\) rather than \(\mathcal{O}(\log n)\).

newtype Dual a

The dual of a Monoid, obtained by swapping the arguments of mappend.

>>> getDual (mappend (Dual "Hello") (Dual "World"))
"WorldHello"

Constructors

Dual

Fields

• getDual :: a

Instances

Monad Dual

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

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

(>>) :: Dual a -> Dual b -> Dual b

return :: a -> Dual a

Functor Dual

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

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

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

Applicative Dual

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

pure :: a -> Dual a

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

liftA2 :: (a -> b -> c) -> Dual a -> Dual b -> Dual c

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

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

Foldable Dual

Since: base-4.8.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => Dual m -> m

foldMap :: Monoid m => (a -> m) -> Dual a -> m

foldMap' :: Monoid m => (a -> m) -> Dual a -> m

foldr :: (a -> b -> b) -> b -> Dual a -> b

foldr' :: (a -> b -> b) -> b -> Dual a -> b

foldl :: (b -> a -> b) -> b -> Dual a -> b

foldl' :: (b -> a -> b) -> b -> Dual a -> b

foldr1 :: (a -> a -> a) -> Dual a -> a

foldl1 :: (a -> a -> a) -> Dual a -> a

toList :: Dual a -> [a]

null :: Dual a -> Bool

length :: Dual a -> Int

elem :: Eq a => a -> Dual a -> Bool

maximum :: Ord a => Dual a -> a

minimum :: Ord a => Dual a -> a

sum :: Num a => Dual a -> a

product :: Num a => Dual a -> a

Traversable Dual

Since: base-4.8.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> Dual a -> f (Dual b)

sequenceA :: Applicative f => Dual (f a) -> f (Dual a)

mapM :: Monad m => (a -> m b) -> Dual a -> m (Dual b)

sequence :: Monad m => Dual (m a) -> m (Dual a)

Representable Dual

Defined in Data.Functor.Rep

Associated Types

type Rep Dual

Methods

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

index :: Dual a -> Rep Dual -> a

NFData1 Dual

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Dual a -> ()

Bounded a => Bounded (Dual a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

minBound :: Dual a

maxBound :: Dual a

Eq a => Eq (Dual a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

(==) :: Dual a -> Dual a -> Bool

(/=) :: Dual a -> Dual a -> Bool

Ord a => Ord (Dual a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

compare :: Dual a -> Dual a -> Ordering

(<) :: Dual a -> Dual a -> Bool

(<=) :: Dual a -> Dual a -> Bool

(>) :: Dual a -> Dual a -> Bool

(>=) :: Dual a -> Dual a -> Bool

max :: Dual a -> Dual a -> Dual a

min :: Dual a -> Dual a -> Dual a

Read a => Read (Dual a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

readsPrec :: Int -> ReadS (Dual a)

readList :: ReadS [Dual a]

readPrec :: ReadPrec (Dual a)

readListPrec :: ReadPrec [Dual a]

Show a => Show (Dual a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

showsPrec :: Int -> Dual a -> ShowS

show :: Dual a -> String

showList :: [Dual a] -> ShowS

Generic (Dual a)

Since: base-4.7.0.0

Defined in Data.Semigroup.Internal

Associated Types

type Rep (Dual a) :: Type -> Type

Methods

from :: Dual a -> Rep (Dual a) x

to :: Rep (Dual a) x -> Dual a

Semigroup a => Semigroup (Dual a)

Since: base-4.9.0.0

Defined in Data.Semigroup.Internal

Methods

(<>) :: Dual a -> Dual a -> Dual a

sconcat :: NonEmpty (Dual a) -> Dual a

stimes :: Integral b => b -> Dual a -> Dual a

Monoid a => Monoid (Dual a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

mempty :: Dual a

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

mconcat :: [Dual a] -> Dual a

NFData a => NFData (Dual a)

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: Dual a -> ()

Wrapped (Dual a)

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Dual a)

Methods

_Wrapped' :: Iso' (Dual a) (Unwrapped (Dual a))

Container (Dual a)

Defined in Universum.Container.Class

Associated Types

type Element (Dual a)

Methods

toList :: Dual a -> [Element (Dual a)]

null :: Dual a -> Bool

foldr :: (Element (Dual a) -> b -> b) -> b -> Dual a -> b

foldl :: (b -> Element (Dual a) -> b) -> b -> Dual a -> b

foldl' :: (b -> Element (Dual a) -> b) -> b -> Dual a -> b

length :: Dual a -> Int

elem :: Element (Dual a) -> Dual a -> Bool

maximum :: Dual a -> Element (Dual a)

minimum :: Dual a -> Element (Dual a)

foldMap :: Monoid m => (Element (Dual a) -> m) -> Dual a -> m

fold :: Dual a -> Element (Dual a)

foldr' :: (Element (Dual a) -> b -> b) -> b -> Dual a -> b

foldr1 :: (Element (Dual a) -> Element (Dual a) -> Element (Dual a)) -> Dual a -> Element (Dual a)

foldl1 :: (Element (Dual a) -> Element (Dual a) -> Element (Dual a)) -> Dual a -> Element (Dual a)

notElem :: Element (Dual a) -> Dual a -> Bool

all :: (Element (Dual a) -> Bool) -> Dual a -> Bool

any :: (Element (Dual a) -> Bool) -> Dual a -> Bool

and :: Dual a -> Bool

or :: Dual a -> Bool

find :: (Element (Dual a) -> Bool) -> Dual a -> Maybe (Element (Dual a))

safeHead :: Dual a -> Maybe (Element (Dual a))

Generic1 Dual

Since: base-4.7.0.0

Defined in Data.Semigroup.Internal

Associated Types

type Rep1 Dual :: k -> Type

Methods

from1 :: forall (a :: k). Dual a -> Rep1 Dual a

to1 :: forall (a :: k). Rep1 Dual a -> Dual a

t ~ Dual b => Rewrapped (Dual a) t

Defined in Control.Lens.Wrapped

type Rep Dual

Defined in Data.Functor.Rep

type Rep Dual = ()

type Rep (Dual a)

Defined in Data.Semigroup.Internal

type Rep (Dual a) = D1 ('MetaData "Dual" "Data.Semigroup.Internal" "base" 'True) (C1 ('MetaCons "Dual" 'PrefixI 'True) (S1 ('MetaSel ('Just "getDual") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

type Unwrapped (Dual a)

Defined in Control.Lens.Wrapped

type Unwrapped (Dual a) = a

type Element (Dual a)

Defined in Universum.Container.Class

type Element (Dual a) = ElementDefault (Dual a)

type Rep1 Dual

Defined in Data.Semigroup.Internal

type Rep1 Dual = D1 ('MetaData "Dual" "Data.Semigroup.Internal" "base" 'True) (C1 ('MetaCons "Dual" 'PrefixI 'True) (S1 ('MetaSel ('Just "getDual") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

newtype Endo a

The monoid of endomorphisms under composition.

>>> let computation = Endo ("Hello, " ++) <> Endo (++ "!")
>>> appEndo computation "Haskell"
"Hello, Haskell!"

Constructors

Endo

Fields

• appEndo :: a -> a

Instances

Generic (Endo a)

Since: base-4.7.0.0

Defined in Data.Semigroup.Internal

Associated Types

type Rep (Endo a) :: Type -> Type

Methods

from :: Endo a -> Rep (Endo a) x

to :: Rep (Endo a) x -> Endo a

Semigroup (Endo a)

Since: base-4.9.0.0

Defined in Data.Semigroup.Internal

Methods

(<>) :: Endo a -> Endo a -> Endo a

sconcat :: NonEmpty (Endo a) -> Endo a

stimes :: Integral b => b -> Endo a -> Endo a

Monoid (Endo a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

mempty :: Endo a

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

mconcat :: [Endo a] -> Endo a

Wrapped (Endo a)

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Endo a)

Methods

_Wrapped' :: Iso' (Endo a) (Unwrapped (Endo a))

t ~ Endo b => Rewrapped (Endo a) t

Defined in Control.Lens.Wrapped

type Rep (Endo a)

Defined in Data.Semigroup.Internal

type Rep (Endo a) = D1 ('MetaData "Endo" "Data.Semigroup.Internal" "base" 'True) (C1 ('MetaCons "Endo" 'PrefixI 'True) (S1 ('MetaSel ('Just "appEndo") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (a -> a))))

type Unwrapped (Endo a)

Defined in Control.Lens.Wrapped

type Unwrapped (Endo a) = a -> a

newtype All

Boolean monoid under conjunction (&&).

>>> getAll (All True <> mempty <> All False)
False

>>> getAll (mconcat (map (\x -> All (even x)) [2,4,6,7,8]))
False

Constructors

All

Fields

• getAll :: Bool

Instances

Bounded All

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

minBound :: All

maxBound :: All

Eq All

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

(==) :: All -> All -> Bool

(/=) :: All -> All -> Bool

Ord All

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

compare :: All -> All -> Ordering

(<) :: All -> All -> Bool

(<=) :: All -> All -> Bool

(>) :: All -> All -> Bool

(>=) :: All -> All -> Bool

max :: All -> All -> All

min :: All -> All -> All

Read All

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

readsPrec :: Int -> ReadS All

readList :: ReadS [All]

readPrec :: ReadPrec All

readListPrec :: ReadPrec [All]

Show All

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

showsPrec :: Int -> All -> ShowS

show :: All -> String

showList :: [All] -> ShowS

Generic All

Since: base-4.7.0.0

Defined in Data.Semigroup.Internal

Associated Types

type Rep All :: Type -> Type

Methods

from :: All -> Rep All x

to :: Rep All x -> All

Semigroup All

Since: base-4.9.0.0

Defined in Data.Semigroup.Internal

Methods

(<>) :: All -> All -> All

sconcat :: NonEmpty All -> All

stimes :: Integral b => b -> All -> All

Monoid All

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

mempty :: All

mappend :: All -> All -> All

mconcat :: [All] -> All

NFData All

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: All -> ()

Wrapped All

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped All

Methods

_Wrapped' :: Iso' All (Unwrapped All)

t ~ All => Rewrapped All t

Defined in Control.Lens.Wrapped

type Rep All

Defined in Data.Semigroup.Internal

type Rep All = D1 ('MetaData "All" "Data.Semigroup.Internal" "base" 'True) (C1 ('MetaCons "All" 'PrefixI 'True) (S1 ('MetaSel ('Just "getAll") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Bool)))

type Unwrapped All

Defined in Control.Lens.Wrapped

type Unwrapped All = Bool

newtype Any

Boolean monoid under disjunction (||).

>>> getAny (Any True <> mempty <> Any False)
True

>>> getAny (mconcat (map (\x -> Any (even x)) [2,4,6,7,8]))
True

Constructors

Any

Fields

• getAny :: Bool

Instances

Bounded Any

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

minBound :: Any

maxBound :: Any

Eq Any

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

(==) :: Any -> Any -> Bool

(/=) :: Any -> Any -> Bool

Ord Any

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

compare :: Any -> Any -> Ordering

(<) :: Any -> Any -> Bool

(<=) :: Any -> Any -> Bool

(>) :: Any -> Any -> Bool

(>=) :: Any -> Any -> Bool

max :: Any -> Any -> Any

min :: Any -> Any -> Any

Read Any

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

readsPrec :: Int -> ReadS Any

readList :: ReadS [Any]

readPrec :: ReadPrec Any

readListPrec :: ReadPrec [Any]

Show Any

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

showsPrec :: Int -> Any -> ShowS

show :: Any -> String

showList :: [Any] -> ShowS

Generic Any

Since: base-4.7.0.0

Defined in Data.Semigroup.Internal

Associated Types

type Rep Any :: Type -> Type

Methods

from :: Any -> Rep Any x

to :: Rep Any x -> Any

Semigroup Any

Since: base-4.9.0.0

Defined in Data.Semigroup.Internal

Methods

(<>) :: Any -> Any -> Any

sconcat :: NonEmpty Any -> Any

stimes :: Integral b => b -> Any -> Any

Monoid Any

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

mempty :: Any

mappend :: Any -> Any -> Any

mconcat :: [Any] -> Any

NFData Any

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: Any -> ()

Wrapped Any

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped Any

Methods

_Wrapped' :: Iso' Any (Unwrapped Any)

t ~ Any => Rewrapped Any t

Defined in Control.Lens.Wrapped

type Rep Any

Defined in Data.Semigroup.Internal

type Rep Any = D1 ('MetaData "Any" "Data.Semigroup.Internal" "base" 'True) (C1 ('MetaCons "Any" 'PrefixI 'True) (S1 ('MetaSel ('Just "getAny") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Bool)))

type Unwrapped Any

Defined in Control.Lens.Wrapped

type Unwrapped Any = Bool

newtype Sum a

Monoid under addition.

>>> getSum (Sum 1 <> Sum 2 <> mempty)
3

Constructors

Sum

Fields

• getSum :: a

Instances

Monad Sum

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

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

(>>) :: Sum a -> Sum b -> Sum b

return :: a -> Sum a

Functor Sum

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

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

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

Applicative Sum

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

pure :: a -> Sum a

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

liftA2 :: (a -> b -> c) -> Sum a -> Sum b -> Sum c

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

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

Foldable Sum

Since: base-4.8.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => Sum m -> m

foldMap :: Monoid m => (a -> m) -> Sum a -> m

foldMap' :: Monoid m => (a -> m) -> Sum a -> m

foldr :: (a -> b -> b) -> b -> Sum a -> b

foldr' :: (a -> b -> b) -> b -> Sum a -> b

foldl :: (b -> a -> b) -> b -> Sum a -> b

foldl' :: (b -> a -> b) -> b -> Sum a -> b

foldr1 :: (a -> a -> a) -> Sum a -> a

foldl1 :: (a -> a -> a) -> Sum a -> a

toList :: Sum a -> [a]

null :: Sum a -> Bool

length :: Sum a -> Int

elem :: Eq a => a -> Sum a -> Bool

maximum :: Ord a => Sum a -> a

minimum :: Ord a => Sum a -> a

sum :: Num a => Sum a -> a

product :: Num a => Sum a -> a

Traversable Sum

Since: base-4.8.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> Sum a -> f (Sum b)

sequenceA :: Applicative f => Sum (f a) -> f (Sum a)

mapM :: Monad m => (a -> m b) -> Sum a -> m (Sum b)

sequence :: Monad m => Sum (m a) -> m (Sum a)

Representable Sum

Defined in Data.Functor.Rep

Associated Types

type Rep Sum

Methods

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

index :: Sum a -> Rep Sum -> a

NFData1 Sum

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Sum a -> ()

Bounded a => Bounded (Sum a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

minBound :: Sum a

maxBound :: Sum a

Eq a => Eq (Sum a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

(==) :: Sum a -> Sum a -> Bool

(/=) :: Sum a -> Sum a -> Bool

Num a => Num (Sum a)

Since: base-4.7.0.0

Defined in Data.Semigroup.Internal

Methods

(+) :: Sum a -> Sum a -> Sum a

(-) :: Sum a -> Sum a -> Sum a

(*) :: Sum a -> Sum a -> Sum a

negate :: Sum a -> Sum a

abs :: Sum a -> Sum a

signum :: Sum a -> Sum a

fromInteger :: Integer -> Sum a

Ord a => Ord (Sum a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

compare :: Sum a -> Sum a -> Ordering

(<) :: Sum a -> Sum a -> Bool

(<=) :: Sum a -> Sum a -> Bool

(>) :: Sum a -> Sum a -> Bool

(>=) :: Sum a -> Sum a -> Bool

max :: Sum a -> Sum a -> Sum a

min :: Sum a -> Sum a -> Sum a

Read a => Read (Sum a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

readsPrec :: Int -> ReadS (Sum a)

readList :: ReadS [Sum a]

readPrec :: ReadPrec (Sum a)

readListPrec :: ReadPrec [Sum a]

Show a => Show (Sum a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

showsPrec :: Int -> Sum a -> ShowS

show :: Sum a -> String

showList :: [Sum a] -> ShowS

Generic (Sum a)

Since: base-4.7.0.0

Defined in Data.Semigroup.Internal

Associated Types

type Rep (Sum a) :: Type -> Type

Methods

from :: Sum a -> Rep (Sum a) x

to :: Rep (Sum a) x -> Sum a

Num a => Semigroup (Sum a)

Since: base-4.9.0.0

Defined in Data.Semigroup.Internal

Methods

(<>) :: Sum a -> Sum a -> Sum a

sconcat :: NonEmpty (Sum a) -> Sum a

stimes :: Integral b => b -> Sum a -> Sum a

Num a => Monoid (Sum a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

mempty :: Sum a

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

mconcat :: [Sum a] -> Sum a

NFData a => NFData (Sum a)

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: Sum a -> ()

Wrapped (Sum a)

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Sum a)

Methods

_Wrapped' :: Iso' (Sum a) (Unwrapped (Sum a))

Container (Sum a)

Defined in Universum.Container.Class

Associated Types

type Element (Sum a)

Methods

toList :: Sum a -> [Element (Sum a)]

null :: Sum a -> Bool

foldr :: (Element (Sum a) -> b -> b) -> b -> Sum a -> b

foldl :: (b -> Element (Sum a) -> b) -> b -> Sum a -> b

foldl' :: (b -> Element (Sum a) -> b) -> b -> Sum a -> b

length :: Sum a -> Int

elem :: Element (Sum a) -> Sum a -> Bool

maximum :: Sum a -> Element (Sum a)

minimum :: Sum a -> Element (Sum a)

foldMap :: Monoid m => (Element (Sum a) -> m) -> Sum a -> m

fold :: Sum a -> Element (Sum a)

foldr' :: (Element (Sum a) -> b -> b) -> b -> Sum a -> b

foldr1 :: (Element (Sum a) -> Element (Sum a) -> Element (Sum a)) -> Sum a -> Element (Sum a)

foldl1 :: (Element (Sum a) -> Element (Sum a) -> Element (Sum a)) -> Sum a -> Element (Sum a)

notElem :: Element (Sum a) -> Sum a -> Bool

all :: (Element (Sum a) -> Bool) -> Sum a -> Bool

any :: (Element (Sum a) -> Bool) -> Sum a -> Bool

and :: Sum a -> Bool

or :: Sum a -> Bool

find :: (Element (Sum a) -> Bool) -> Sum a -> Maybe (Element (Sum a))

safeHead :: Sum a -> Maybe (Element (Sum a))

Generic1 Sum

Since: base-4.7.0.0

Defined in Data.Semigroup.Internal

Associated Types

type Rep1 Sum :: k -> Type

Methods

from1 :: forall (a :: k). Sum a -> Rep1 Sum a

to1 :: forall (a :: k). Rep1 Sum a -> Sum a

t ~ Sum b => Rewrapped (Sum a) t

Defined in Control.Lens.Wrapped

type Rep Sum

Defined in Data.Functor.Rep

type Rep Sum = ()

type Rep (Sum a)

Defined in Data.Semigroup.Internal

type Rep (Sum a) = D1 ('MetaData "Sum" "Data.Semigroup.Internal" "base" 'True) (C1 ('MetaCons "Sum" 'PrefixI 'True) (S1 ('MetaSel ('Just "getSum") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

type Unwrapped (Sum a)

Defined in Control.Lens.Wrapped

type Unwrapped (Sum a) = a

type Element (Sum a)

Defined in Universum.Container.Class

type Element (Sum a) = ElementDefault (Sum a)

type Rep1 Sum

Defined in Data.Semigroup.Internal

type Rep1 Sum = D1 ('MetaData "Sum" "Data.Semigroup.Internal" "base" 'True) (C1 ('MetaCons "Sum" 'PrefixI 'True) (S1 ('MetaSel ('Just "getSum") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

newtype Product a

Monoid under multiplication.

>>> getProduct (Product 3 <> Product 4 <> mempty)
12

Constructors

Product

Fields

• getProduct :: a

Instances

Monad Product

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

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

(>>) :: Product a -> Product b -> Product b

return :: a -> Product a

Functor Product

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

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

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

Applicative Product

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

pure :: a -> Product a

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

liftA2 :: (a -> b -> c) -> Product a -> Product b -> Product c

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

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

Foldable Product

Since: base-4.8.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => Product m -> m

foldMap :: Monoid m => (a -> m) -> Product a -> m

foldMap' :: Monoid m => (a -> m) -> Product a -> m

foldr :: (a -> b -> b) -> b -> Product a -> b

foldr' :: (a -> b -> b) -> b -> Product a -> b

foldl :: (b -> a -> b) -> b -> Product a -> b

foldl' :: (b -> a -> b) -> b -> Product a -> b

foldr1 :: (a -> a -> a) -> Product a -> a

foldl1 :: (a -> a -> a) -> Product a -> a

toList :: Product a -> [a]

null :: Product a -> Bool

length :: Product a -> Int

elem :: Eq a => a -> Product a -> Bool

maximum :: Ord a => Product a -> a

minimum :: Ord a => Product a -> a

sum :: Num a => Product a -> a

product :: Num a => Product a -> a

Traversable Product

Since: base-4.8.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> Product a -> f (Product b)

sequenceA :: Applicative f => Product (f a) -> f (Product a)

mapM :: Monad m => (a -> m b) -> Product a -> m (Product b)

sequence :: Monad m => Product (m a) -> m (Product a)

Representable Product

Defined in Data.Functor.Rep

Associated Types

type Rep Product

Methods

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

index :: Product a -> Rep Product -> a

NFData1 Product

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Product a -> ()

Bounded a => Bounded (Product a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

minBound :: Product a

maxBound :: Product a

Eq a => Eq (Product a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

(==) :: Product a -> Product a -> Bool

(/=) :: Product a -> Product a -> Bool

Num a => Num (Product a)

Since: base-4.7.0.0

Defined in Data.Semigroup.Internal

Methods

(+) :: Product a -> Product a -> Product a

(-) :: Product a -> Product a -> Product a

(*) :: Product a -> Product a -> Product a

negate :: Product a -> Product a

abs :: Product a -> Product a

signum :: Product a -> Product a

fromInteger :: Integer -> Product a

Ord a => Ord (Product a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

compare :: Product a -> Product a -> Ordering

(<) :: Product a -> Product a -> Bool

(<=) :: Product a -> Product a -> Bool

(>) :: Product a -> Product a -> Bool

(>=) :: Product a -> Product a -> Bool

max :: Product a -> Product a -> Product a

min :: Product a -> Product a -> Product a

Read a => Read (Product a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

readsPrec :: Int -> ReadS (Product a)

readList :: ReadS [Product a]

readPrec :: ReadPrec (Product a)

readListPrec :: ReadPrec [Product a]

Show a => Show (Product a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

showsPrec :: Int -> Product a -> ShowS

show :: Product a -> String

showList :: [Product a] -> ShowS

Generic (Product a)

Since: base-4.7.0.0

Defined in Data.Semigroup.Internal

Associated Types

type Rep (Product a) :: Type -> Type

Methods

from :: Product a -> Rep (Product a) x

to :: Rep (Product a) x -> Product a

Num a => Semigroup (Product a)

Since: base-4.9.0.0

Defined in Data.Semigroup.Internal

Methods

(<>) :: Product a -> Product a -> Product a

sconcat :: NonEmpty (Product a) -> Product a

stimes :: Integral b => b -> Product a -> Product a

Num a => Monoid (Product a)

Since: base-2.1

Defined in Data.Semigroup.Internal

Methods

mempty :: Product a

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

mconcat :: [Product a] -> Product a

NFData a => NFData (Product a)

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: Product a -> ()

Wrapped (Product a)

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Product a)

Methods

_Wrapped' :: Iso' (Product a) (Unwrapped (Product a))

Container (Product a)

Defined in Universum.Container.Class

Associated Types

type Element (Product a)

Methods

toList :: Product a -> [Element (Product a)]

null :: Product a -> Bool

foldr :: (Element (Product a) -> b -> b) -> b -> Product a -> b

foldl :: (b -> Element (Product a) -> b) -> b -> Product a -> b

foldl' :: (b -> Element (Product a) -> b) -> b -> Product a -> b

length :: Product a -> Int

elem :: Element (Product a) -> Product a -> Bool

maximum :: Product a -> Element (Product a)

minimum :: Product a -> Element (Product a)

foldMap :: Monoid m => (Element (Product a) -> m) -> Product a -> m

fold :: Product a -> Element (Product a)

foldr' :: (Element (Product a) -> b -> b) -> b -> Product a -> b

foldr1 :: (Element (Product a) -> Element (Product a) -> Element (Product a)) -> Product a -> Element (Product a)

foldl1 :: (Element (Product a) -> Element (Product a) -> Element (Product a)) -> Product a -> Element (Product a)

notElem :: Element (Product a) -> Product a -> Bool

all :: (Element (Product a) -> Bool) -> Product a -> Bool

any :: (Element (Product a) -> Bool) -> Product a -> Bool

and :: Product a -> Bool

or :: Product a -> Bool

find :: (Element (Product a) -> Bool) -> Product a -> Maybe (Element (Product a))

safeHead :: Product a -> Maybe (Element (Product a))

Generic1 Product

Since: base-4.7.0.0

Defined in Data.Semigroup.Internal

Associated Types

type Rep1 Product :: k -> Type

Methods

from1 :: forall (a :: k). Product a -> Rep1 Product a

to1 :: forall (a :: k). Rep1 Product a -> Product a

t ~ Product b => Rewrapped (Product a) t

Defined in Control.Lens.Wrapped

type Rep Product

Defined in Data.Functor.Rep

type Rep Product = ()

type Rep (Product a)

Defined in Data.Semigroup.Internal

type Rep (Product a) = D1 ('MetaData "Product" "Data.Semigroup.Internal" "base" 'True) (C1 ('MetaCons "Product" 'PrefixI 'True) (S1 ('MetaSel ('Just "getProduct") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

type Unwrapped (Product a)

Defined in Control.Lens.Wrapped

type Unwrapped (Product a) = a

type Element (Product a)

Defined in Universum.Container.Class

type Element (Product a) = ElementDefault (Product a)

type Rep1 Product

Defined in Data.Semigroup.Internal

type Rep1 Product = D1 ('MetaData "Product" "Data.Semigroup.Internal" "base" 'True) (C1 ('MetaCons "Product" 'PrefixI 'True) (S1 ('MetaSel ('Just "getProduct") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

newtype Alt (f :: k -> Type) (a :: k)

Monoid under <|>.

>>> getAlt (Alt (Just 12) <> Alt (Just 24))
Just 12

>>> getAlt $ Alt Nothing <> Alt (Just 24)
Just 24

Since: base-4.8.0.0

Constructors

Alt

Fields

• getAlt :: f a

Instances

Generic1 (Alt f :: k -> Type)

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Associated Types

type Rep1 (Alt f) :: k -> Type

Methods

from1 :: forall (a :: k0). Alt f a -> Rep1 (Alt f) a

to1 :: forall (a :: k0). Rep1 (Alt f) a -> Alt f a

Monad f => Monad (Alt f)

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

(>>=) :: Alt f a -> (a -> Alt f b) -> Alt f b

(>>) :: Alt f a -> Alt f b -> Alt f b

return :: a -> Alt f a

Functor f => Functor (Alt f)

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

fmap :: (a -> b) -> Alt f a -> Alt f b

(<$) :: a -> Alt f b -> Alt f a

Applicative f => Applicative (Alt f)

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

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

Foldable f => Foldable (Alt f)

Since: base-4.12.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => Alt f m -> m

foldMap :: Monoid m => (a -> m) -> Alt f a -> m

foldMap' :: Monoid m => (a -> m) -> Alt f a -> m

foldr :: (a -> b -> b) -> b -> Alt f a -> b

foldr' :: (a -> b -> b) -> b -> Alt f a -> b

foldl :: (b -> a -> b) -> b -> Alt f a -> b

foldl' :: (b -> a -> b) -> b -> Alt f a -> b

foldr1 :: (a -> a -> a) -> Alt f a -> a

foldl1 :: (a -> a -> a) -> Alt f a -> a

toList :: Alt f a -> [a]

null :: Alt f a -> Bool

length :: Alt f a -> Int

elem :: Eq a => a -> Alt f a -> Bool

maximum :: Ord a => Alt f a -> a

minimum :: Ord a => Alt f a -> a

sum :: Num a => Alt f a -> a

product :: Num a => Alt f a -> a

Traversable f => Traversable (Alt f)

Since: base-4.12.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f0 => (a -> f0 b) -> Alt f a -> f0 (Alt f b)

sequenceA :: Applicative f0 => Alt f (f0 a) -> f0 (Alt f a)

mapM :: Monad m => (a -> m b) -> Alt f a -> m (Alt f b)

sequence :: Monad m => Alt f (m a) -> m (Alt f a)

Alternative f => Alternative (Alt f)

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

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]

MonadPlus f => MonadPlus (Alt f)

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

mzero :: Alt f a

mplus :: Alt f a -> Alt f a -> Alt f a

Enum (f a) => Enum (Alt f a)

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

succ :: Alt f a -> Alt f a

pred :: Alt f a -> Alt f a

toEnum :: Int -> Alt f a

fromEnum :: Alt f a -> Int

enumFrom :: Alt f a -> [Alt f a]

enumFromThen :: Alt f a -> Alt f a -> [Alt f a]

enumFromTo :: Alt f a -> Alt f a -> [Alt f a]

enumFromThenTo :: Alt f a -> Alt f a -> Alt f a -> [Alt f a]

Eq (f a) => Eq (Alt f a)

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

(==) :: Alt f a -> Alt f a -> Bool

(/=) :: Alt f a -> Alt f a -> Bool

Num (f a) => Num (Alt f a)

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

(+) :: Alt f a -> Alt f a -> Alt f a

(-) :: Alt f a -> Alt f a -> Alt f a

(*) :: Alt f a -> Alt f a -> Alt f a

negate :: Alt f a -> Alt f a

abs :: Alt f a -> Alt f a

signum :: Alt f a -> Alt f a

fromInteger :: Integer -> Alt f a

Ord (f a) => Ord (Alt f a)

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

compare :: Alt f a -> Alt f a -> Ordering

(<) :: Alt f a -> Alt f a -> Bool

(<=) :: Alt f a -> Alt f a -> Bool

(>) :: Alt f a -> Alt f a -> Bool

(>=) :: Alt f a -> Alt f a -> Bool

max :: Alt f a -> Alt f a -> Alt f a

min :: Alt f a -> Alt f a -> Alt f a

Read (f a) => Read (Alt f a)

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

readsPrec :: Int -> ReadS (Alt f a)

readList :: ReadS [Alt f a]

readPrec :: ReadPrec (Alt f a)

readListPrec :: ReadPrec [Alt f a]

Show (f a) => Show (Alt f a)

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

showsPrec :: Int -> Alt f a -> ShowS

show :: Alt f a -> String

showList :: [Alt f a] -> ShowS

Generic (Alt f a)

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Associated Types

type Rep (Alt f a) :: Type -> Type

Methods

from :: Alt f a -> Rep (Alt f a) x

to :: Rep (Alt f a) x -> Alt f a

Alternative f => Semigroup (Alt f a)

Since: base-4.9.0.0

Defined in Data.Semigroup.Internal

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

Alternative f => Monoid (Alt f a)

Since: base-4.8.0.0

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

Wrapped (Alt f a)

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Alt f a)

Methods

_Wrapped' :: Iso' (Alt f a) (Unwrapped (Alt f a))

t ~ Alt g b => Rewrapped (Alt f a) t

Defined in Control.Lens.Wrapped

type Rep1 (Alt f :: k -> Type)

Defined in Data.Semigroup.Internal

type Rep1 (Alt f :: k -> Type) = D1 ('MetaData "Alt" "Data.Semigroup.Internal" "base" 'True) (C1 ('MetaCons "Alt" 'PrefixI 'True) (S1 ('MetaSel ('Just "getAlt") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 f)))

type Rep (Alt f a)

Defined in Data.Semigroup.Internal

type Rep (Alt f a) = D1 ('MetaData "Alt" "Data.Semigroup.Internal" "base" 'True) (C1 ('MetaCons "Alt" 'PrefixI 'True) (S1 ('MetaSel ('Just "getAlt") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (f a))))

type Unwrapped (Alt f a)

Defined in Control.Lens.Wrapped

type Unwrapped (Alt f a) = f a

someNatVal :: Natural -> SomeNat

Convert an integer into an unknown type-level natural.

Since: base-4.10.0.0

natVal :: forall (n :: Nat) proxy. KnownNat n => proxy n -> Natural

Since: base-4.10.0.0

data SomeNat

This type represents unknown type-level natural numbers.

Since: base-4.10.0.0

Constructors

KnownNat n => SomeNat (Proxy n)

Instances

Eq SomeNat

Since: base-4.7.0.0

Defined in GHC.TypeNats

Methods

(==) :: SomeNat -> SomeNat -> Bool

(/=) :: SomeNat -> SomeNat -> Bool

Ord SomeNat

Since: base-4.7.0.0

Defined in GHC.TypeNats

Methods

compare :: SomeNat -> SomeNat -> Ordering

(<) :: SomeNat -> SomeNat -> Bool

(<=) :: SomeNat -> SomeNat -> Bool

(>) :: SomeNat -> SomeNat -> Bool

(>=) :: SomeNat -> SomeNat -> Bool

max :: SomeNat -> SomeNat -> SomeNat

min :: SomeNat -> SomeNat -> SomeNat

Read SomeNat

Since: base-4.7.0.0

Defined in GHC.TypeNats

Methods

readsPrec :: Int -> ReadS SomeNat

readList :: ReadS [SomeNat]

readPrec :: ReadPrec SomeNat

readListPrec :: ReadPrec [SomeNat]

Show SomeNat

Since: base-4.7.0.0

Defined in GHC.TypeNats

Methods

showsPrec :: Int -> SomeNat -> ShowS

show :: SomeNat -> String

showList :: [SomeNat] -> ShowS

unfoldr :: (b -> Maybe (a, b)) -> b -> [a]

The unfoldr function is a `dual' to foldr: while foldr reduces a list to a summary value, unfoldr builds a list from a seed value. The function takes the element and returns Nothing if it is done producing the list or returns Just (a,b), in which case, a is a prepended to the list and b is used as the next element in a recursive call. For example,

iterate f == unfoldr (\x -> Just (x, f x))

In some cases, unfoldr can undo a foldr operation:

unfoldr f' (foldr f z xs) == xs

if the following holds:

f' (f x y) = Just (x,y)
f' z       = Nothing

A simple use of unfoldr:

>>> unfoldr (\b -> if b == 0 then Nothing else Just (b, b-1)) 10
[10,9,8,7,6,5,4,3,2,1]

sortOn :: Ord b => (a -> b) -> [a] -> [a]

Sort a list by comparing the results of a key function applied to each element. sortOn f is equivalent to sortBy (comparing f), but has the performance advantage of only evaluating f once for each element in the input list. This is called the decorate-sort-undecorate paradigm, or Schwartzian transform.

Elements are arranged from from lowest to highest, keeping duplicates in the order they appeared in the input.

>>> sortOn fst [(2, "world"), (4, "!"), (1, "Hello")]
[(1,"Hello"),(2,"world"),(4,"!")]

Since: base-4.8.0.0

sortBy :: (a -> a -> Ordering) -> [a] -> [a]

The sortBy function is the non-overloaded version of sort.

>>> sortBy (\(a,_) (b,_) -> compare a b) [(2, "world"), (4, "!"), (1, "Hello")]
[(1,"Hello"),(2,"world"),(4,"!")]

sort :: Ord a => [a] -> [a]

The sort function implements a stable sorting algorithm. It is a special case of sortBy, which allows the programmer to supply their own comparison function.

Elements are arranged from lowest to highest, keeping duplicates in the order they appeared in the input.

>>> sort [1,6,4,3,2,5]
[1,2,3,4,5,6]

permutations :: [a] -> [[a]]

The permutations function returns the list of all permutations of the argument.

>>> permutations "abc"
["abc","bac","cba","bca","cab","acb"]

subsequences :: [a] -> [[a]]

The subsequences function returns the list of all subsequences of the argument.

>>> subsequences "abc"
["","a","b","ab","c","ac","bc","abc"]

tails :: [a] -> [[a]]

\(\mathcal{O}(n)\). The tails function returns all final segments of the argument, longest first. For example,

>>> tails "abc"
["abc","bc","c",""]

Note that tails has the following strictness property: tails _|_ = _|_ : _|_

inits :: [a] -> [[a]]

The inits function returns all initial segments of the argument, shortest first. For example,

>>> inits "abc"
["","a","ab","abc"]

Note that inits has the following strictness property: inits (xs ++ _|_) = inits xs ++ _|_

In particular, inits _|_ = [] : _|_

group :: Eq a => [a] -> [[a]]

The group function takes a list and returns a list of lists such that the concatenation of the result is equal to the argument. Moreover, each sublist in the result contains only equal elements. For example,

>>> group "Mississippi"
["M","i","ss","i","ss","i","pp","i"]

It is a special case of groupBy, which allows the programmer to supply their own equality test.

genericReplicate :: Integral i => i -> a -> [a]

The genericReplicate function is an overloaded version of replicate, which accepts any Integral value as the number of repetitions to make.

genericSplitAt :: Integral i => i -> [a] -> ([a], [a])

The genericSplitAt function is an overloaded version of splitAt, which accepts any Integral value as the position at which to split.

genericDrop :: Integral i => i -> [a] -> [a]

The genericDrop function is an overloaded version of drop, which accepts any Integral value as the number of elements to drop.

genericTake :: Integral i => i -> [a] -> [a]

The genericTake function is an overloaded version of take, which accepts any Integral value as the number of elements to take.

genericLength :: Num i => [a] -> i

\(\mathcal{O}(n)\). The genericLength function is an overloaded version of length. In particular, instead of returning an Int, it returns any type which is an instance of Num. It is, however, less efficient than length.

>>> genericLength [1, 2, 3] :: Int
3
>>> genericLength [1, 2, 3] :: Float
3.0

transpose :: [[a]] -> [[a]]

The transpose function transposes the rows and columns of its argument. For example,

>>> transpose [[1,2,3],[4,5,6]]
[[1,4],[2,5],[3,6]]

If some of the rows are shorter than the following rows, their elements are skipped:

>>> transpose [[10,11],[20],[],[30,31,32]]
[[10,20,30],[11,31],[32]]

intercalate :: [a] -> [[a]] -> [a]

intercalate xs xss is equivalent to (concat (intersperse xs xss)). It inserts the list xs in between the lists in xss and concatenates the result.

>>> intercalate ", " ["Lorem", "ipsum", "dolor"]
"Lorem, ipsum, dolor"

intersperse :: a -> [a] -> [a]

\(\mathcal{O}(n)\). The intersperse function takes an element and a list and `intersperses' that element between the elements of the list. For example,

>>> intersperse ',' "abcde"
"a,b,c,d,e"

isPrefixOf :: Eq a => [a] -> [a] -> Bool

\(\mathcal{O}(\min(m,n))\). The isPrefixOf function takes two lists and returns True iff the first list is a prefix of the second.

>>> "Hello" `isPrefixOf` "Hello World!"
True

>>> "Hello" `isPrefixOf` "Wello Horld!"
False

readMaybe :: Read a => String -> Maybe a

Parse a string using the Read instance. Succeeds if there is exactly one valid result.

>>> readMaybe "123" :: Maybe Int
Just 123

>>> readMaybe "hello" :: Maybe Int
Nothing

Since: base-4.6.0.0

reads :: Read a => ReadS a

equivalent to readsPrec with a precedence of 0.

isRight :: Either a b -> Bool

Return True if the given value is a Right-value, False otherwise.

Examples

Basic usage:

>>> isRight (Left "foo")
False
>>> isRight (Right 3)
True

Assuming a Left value signifies some sort of error, we can use isRight to write a very simple reporting function that only outputs "SUCCESS" when a computation has succeeded.

This example shows how isRight might be used to avoid pattern matching when one does not care about the value contained in the constructor:

>>> import Control.Monad ( when )
>>> let report e = when (isRight e) $ putStrLn "SUCCESS"
>>> report (Left "parse error")
>>> report (Right 1)
SUCCESS

Since: base-4.7.0.0

isLeft :: Either a b -> Bool

Return True if the given value is a Left-value, False otherwise.

Examples

Basic usage:

>>> isLeft (Left "foo")
True
>>> isLeft (Right 3)
False

Assuming a Left value signifies some sort of error, we can use isLeft to write a very simple error-reporting function that does absolutely nothing in the case of success, and outputs "ERROR" if any error occurred.

This example shows how isLeft might be used to avoid pattern matching when one does not care about the value contained in the constructor:

>>> import Control.Monad ( when )
>>> let report e = when (isLeft e) $ putStrLn "ERROR"
>>> report (Right 1)
>>> report (Left "parse error")
ERROR

Since: base-4.7.0.0

partitionEithers :: [Either a b] -> ([a], [b])

Partitions a list of Either into two lists. All the Left elements are extracted, in order, to the first component of the output. Similarly the Right elements are extracted to the second component of the output.

Examples

Basic usage:

>>> let list = [ Left "foo", Right 3, Left "bar", Right 7, Left "baz" ]
>>> partitionEithers list
(["foo","bar","baz"],[3,7])

The pair returned by partitionEithers x should be the same pair as (lefts x, rights x):

>>> let list = [ Left "foo", Right 3, Left "bar", Right 7, Left "baz" ]
>>> partitionEithers list == (lefts list, rights list)
True

rights :: [Either a b] -> [b]

Extracts from a list of Either all the Right elements. All the Right elements are extracted in order.

Examples

Basic usage:

>>> let list = [ Left "foo", Right 3, Left "bar", Right 7, Left "baz" ]
>>> rights list
[3,7]

lefts :: [Either a b] -> [a]

Extracts from a list of Either all the Left elements. All the Left elements are extracted in order.

Examples

Basic usage:

>>> let list = [ Left "foo", Right 3, Left "bar", Right 7, Left "baz" ]
>>> lefts list
["foo","bar","baz"]

comparing :: Ord a => (b -> a) -> b -> b -> Ordering

comparing p x y = compare (p x) (p y)

Useful combinator for use in conjunction with the xxxBy family of functions from Data.List, for example:

  ... sortBy (comparing fst) ...

newtype Down a

The Down type allows you to reverse sort order conveniently. A value of type Down a contains a value of type a (represented as Down a). If a has an Ord instance associated with it then comparing two values thus wrapped will give you the opposite of their normal sort order. This is particularly useful when sorting in generalised list comprehensions, as in: then sortWith by Down x

Since: base-4.6.0.0

Constructors

Down

Fields

• getDown :: a

  Since: base-4.14.0.0

Instances

Monad Down

Since: base-4.11.0.0

Defined in Data.Ord

Methods

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

(>>) :: Down a -> Down b -> Down b

return :: a -> Down a

Functor Down

Since: base-4.11.0.0

Defined in Data.Ord

Methods

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

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

Applicative Down

Since: base-4.11.0.0

Defined in Data.Ord

Methods

pure :: a -> Down a

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

liftA2 :: (a -> b -> c) -> Down a -> Down b -> Down c

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

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

Foldable Down

Since: base-4.12.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => Down m -> m

foldMap :: Monoid m => (a -> m) -> Down a -> m

foldMap' :: Monoid m => (a -> m) -> Down a -> m

foldr :: (a -> b -> b) -> b -> Down a -> b

foldr' :: (a -> b -> b) -> b -> Down a -> b

foldl :: (b -> a -> b) -> b -> Down a -> b

foldl' :: (b -> a -> b) -> b -> Down a -> b

foldr1 :: (a -> a -> a) -> Down a -> a

foldl1 :: (a -> a -> a) -> Down a -> a

toList :: Down a -> [a]

null :: Down a -> Bool

length :: Down a -> Int

elem :: Eq a => a -> Down a -> Bool

maximum :: Ord a => Down a -> a

minimum :: Ord a => Down a -> a

sum :: Num a => Down a -> a

product :: Num a => Down a -> a

Traversable Down

Since: base-4.12.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> Down a -> f (Down b)

sequenceA :: Applicative f => Down (f a) -> f (Down a)

mapM :: Monad m => (a -> m b) -> Down a -> m (Down b)

sequence :: Monad m => Down (m a) -> m (Down a)

NFData1 Down

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Down a -> ()

Bounded a => Bounded (Down a)

Since: base-4.14.0.0

Defined in Data.Ord

Methods

minBound :: Down a

maxBound :: Down a

Enum a => Enum (Down a)

Since: base-4.14.0.0

Defined in Data.Ord

Methods

succ :: Down a -> Down a

pred :: Down a -> Down a

toEnum :: Int -> Down a

fromEnum :: Down a -> Int

enumFrom :: Down a -> [Down a]

enumFromThen :: Down a -> Down a -> [Down a]

enumFromTo :: Down a -> Down a -> [Down a]

enumFromThenTo :: Down a -> Down a -> Down a -> [Down a]

Eq a => Eq (Down a)

Since: base-4.6.0.0

Defined in Data.Ord

Methods

(==) :: Down a -> Down a -> Bool

(/=) :: Down a -> Down a -> Bool

Floating a => Floating (Down a)

Since: base-4.14.0.0

Defined in Data.Ord

Methods

pi :: Down a

exp :: Down a -> Down a

log :: Down a -> Down a

sqrt :: Down a -> Down a

(**) :: Down a -> Down a -> Down a

logBase :: Down a -> Down a -> Down a

sin :: Down a -> Down a

cos :: Down a -> Down a

tan :: Down a -> Down a

asin :: Down a -> Down a

acos :: Down a -> Down a

atan :: Down a -> Down a

sinh :: Down a -> Down a

cosh :: Down a -> Down a

tanh :: Down a -> Down a

asinh :: Down a -> Down a

acosh :: Down a -> Down a

atanh :: Down a -> Down a

log1p :: Down a -> Down a

expm1 :: Down a -> Down a

log1pexp :: Down a -> Down a

log1mexp :: Down a -> Down a

Fractional a => Fractional (Down a)

Since: base-4.14.0.0

Defined in Data.Ord

Methods

(/) :: Down a -> Down a -> Down a

recip :: Down a -> Down a

fromRational :: Rational -> Down a

Integral a => Integral (Down a)

Since: base-4.14.0.0

Defined in Data.Ord

Methods

quot :: Down a -> Down a -> Down a

rem :: Down a -> Down a -> Down a

div :: Down a -> Down a -> Down a

mod :: Down a -> Down a -> Down a

quotRem :: Down a -> Down a -> (Down a, Down a)

divMod :: Down a -> Down a -> (Down a, Down a)

toInteger :: Down a -> Integer

Num a => Num (Down a)

Since: base-4.11.0.0

Defined in Data.Ord

Methods

(+) :: Down a -> Down a -> Down a

(-) :: Down a -> Down a -> Down a

(*) :: Down a -> Down a -> Down a

negate :: Down a -> Down a

abs :: Down a -> Down a

signum :: Down a -> Down a

fromInteger :: Integer -> Down a

Ord a => Ord (Down a)

Since: base-4.6.0.0

Defined in Data.Ord

Methods

compare :: Down a -> Down a -> Ordering

(<) :: Down a -> Down a -> Bool

(<=) :: Down a -> Down a -> Bool

(>) :: Down a -> Down a -> Bool

(>=) :: Down a -> Down a -> Bool

max :: Down a -> Down a -> Down a

min :: Down a -> Down a -> Down a

Read a => Read (Down a)

This instance would be equivalent to the derived instances of the Down newtype if the getDown field were removed

Since: base-4.7.0.0

Defined in Data.Ord

Methods

readsPrec :: Int -> ReadS (Down a)

readList :: ReadS [Down a]

readPrec :: ReadPrec (Down a)

readListPrec :: ReadPrec [Down a]

Real a => Real (Down a)

Since: base-4.14.0.0

Defined in Data.Ord

Methods

toRational :: Down a -> Rational

RealFloat a => RealFloat (Down a)

Since: base-4.14.0.0

Defined in Data.Ord

Methods

floatRadix :: Down a -> Integer

floatDigits :: Down a -> Int

floatRange :: Down a -> (Int, Int)

decodeFloat :: Down a -> (Integer, Int)

encodeFloat :: Integer -> Int -> Down a

exponent :: Down a -> Int

significand :: Down a -> Down a

scaleFloat :: Int -> Down a -> Down a

isNaN :: Down a -> Bool

isInfinite :: Down a -> Bool

isDenormalized :: Down a -> Bool

isNegativeZero :: Down a -> Bool

isIEEE :: Down a -> Bool

atan2 :: Down a -> Down a -> Down a

RealFrac a => RealFrac (Down a)

Since: base-4.14.0.0

Defined in Data.Ord

Methods

properFraction :: Integral b => Down a -> (b, Down a)

truncate :: Integral b => Down a -> b

round :: Integral b => Down a -> b

ceiling :: Integral b => Down a -> b

floor :: Integral b => Down a -> b

Show a => Show (Down a)

This instance would be equivalent to the derived instances of the Down newtype if the getDown field were removed

Since: base-4.7.0.0

Defined in Data.Ord

Methods

showsPrec :: Int -> Down a -> ShowS

show :: Down a -> String

showList :: [Down a] -> ShowS

Ix a => Ix (Down a)

Since: base-4.14.0.0

Defined in Data.Ord

Methods

range :: (Down a, Down a) -> [Down a]

index :: (Down a, Down a) -> Down a -> Int

unsafeIndex :: (Down a, Down a) -> Down a -> Int

inRange :: (Down a, Down a) -> Down a -> Bool

rangeSize :: (Down a, Down a) -> Int

unsafeRangeSize :: (Down a, Down a) -> Int

Generic (Down a)

Since: base-4.12.0.0

Defined in GHC.Generics

Associated Types

type Rep (Down a) :: Type -> Type

Methods

from :: Down a -> Rep (Down a) x

to :: Rep (Down a) x -> Down a

Semigroup a => Semigroup (Down a)

Since: base-4.11.0.0

Defined in Data.Ord

Methods

(<>) :: Down a -> Down a -> Down a

sconcat :: NonEmpty (Down a) -> Down a

stimes :: Integral b => b -> Down a -> Down a

Monoid a => Monoid (Down a)

Since: base-4.11.0.0

Defined in Data.Ord

Methods

mempty :: Down a

mappend :: Down a -> Down a -> Down a

mconcat :: [Down a] -> Down a

Storable a => Storable (Down a)

Since: base-4.14.0.0

Defined in Data.Ord

Methods

sizeOf :: Down a -> Int

alignment :: Down a -> Int

peekElemOff :: Ptr (Down a) -> Int -> IO (Down a)

pokeElemOff :: Ptr (Down a) -> Int -> Down a -> IO ()

peekByteOff :: Ptr b -> Int -> IO (Down a)

pokeByteOff :: Ptr b -> Int -> Down a -> IO ()

peek :: Ptr (Down a) -> IO (Down a)

poke :: Ptr (Down a) -> Down a -> IO ()

Bits a => Bits (Down a)

Since: base-4.14.0.0

Defined in Data.Ord

Methods

(.&.) :: Down a -> Down a -> Down a

(.|.) :: Down a -> Down a -> Down a

xor :: Down a -> Down a -> Down a

complement :: Down a -> Down a

shift :: Down a -> Int -> Down a

rotate :: Down a -> Int -> Down a

zeroBits :: Down a

bit :: Int -> Down a

setBit :: Down a -> Int -> Down a

clearBit :: Down a -> Int -> Down a

complementBit :: Down a -> Int -> Down a

testBit :: Down a -> Int -> Bool

bitSizeMaybe :: Down a -> Maybe Int

bitSize :: Down a -> Int

isSigned :: Down a -> Bool

shiftL :: Down a -> Int -> Down a

unsafeShiftL :: Down a -> Int -> Down a

shiftR :: Down a -> Int -> Down a

unsafeShiftR :: Down a -> Int -> Down a

rotateL :: Down a -> Int -> Down a

rotateR :: Down a -> Int -> Down a

popCount :: Down a -> Int

FiniteBits a => FiniteBits (Down a)

Since: base-4.14.0.0

Defined in Data.Ord

Methods

finiteBitSize :: Down a -> Int

countLeadingZeros :: Down a -> Int

countTrailingZeros :: Down a -> Int

NFData a => NFData (Down a)

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: Down a -> ()

Wrapped (Down a)

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Down a)

Methods

_Wrapped' :: Iso' (Down a) (Unwrapped (Down a))

Generic1 Down

Since: base-4.12.0.0

Defined in GHC.Generics

Associated Types

type Rep1 Down :: k -> Type

Methods

from1 :: forall (a :: k). Down a -> Rep1 Down a

to1 :: forall (a :: k). Rep1 Down a -> Down a

t ~ Down b => Rewrapped (Down a) t

Defined in Control.Lens.Wrapped

type Rep (Down a)

Defined in GHC.Generics

type Rep (Down a) = D1 ('MetaData "Down" "Data.Ord" "base" 'True) (C1 ('MetaCons "Down" 'PrefixI 'True) (S1 ('MetaSel ('Just "getDown") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

type Unwrapped (Down a)

Defined in Control.Lens.Wrapped

type Unwrapped (Down a) = a

type Rep1 Down

Defined in GHC.Generics

type Rep1 Down = D1 ('MetaData "Down" "Data.Ord" "base" 'True) (C1 ('MetaCons "Down" 'PrefixI 'True) (S1 ('MetaSel ('Just "getDown") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

data Proxy (t :: k)

Proxy is a type that holds no data, but has a phantom parameter of arbitrary type (or even kind). Its use is to provide type information, even though there is no value available of that type (or it may be too costly to create one).

Historically, Proxy :: Proxy a is a safer alternative to the undefined :: a idiom.

>>> Proxy :: Proxy (Void, Int -> Int)
Proxy

Proxy can even hold types of higher kinds,

>>> Proxy :: Proxy Either
Proxy

>>> Proxy :: Proxy Functor
Proxy

>>> Proxy :: Proxy complicatedStructure
Proxy

Constructors

Proxy

Instances

Generic1 (Proxy :: k -> Type)

Since: base-4.6.0.0

Defined in GHC.Generics

Associated Types

type Rep1 Proxy :: k -> Type

Methods

from1 :: forall (a :: k0). Proxy a -> Rep1 Proxy a

to1 :: forall (a :: k0). Rep1 Proxy a -> Proxy a

Monad (Proxy :: Type -> Type)

Since: base-4.7.0.0

Defined in Data.Proxy

Methods

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

(>>) :: Proxy a -> Proxy b -> Proxy b

return :: a -> Proxy a

Functor (Proxy :: Type -> Type)

Since: base-4.7.0.0

Defined in Data.Proxy

Methods

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

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

Applicative (Proxy :: Type -> Type)

Since: base-4.7.0.0

Defined in Data.Proxy

Methods

pure :: a -> Proxy a

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

liftA2 :: (a -> b -> c) -> Proxy a -> Proxy b -> Proxy c

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

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

Foldable (Proxy :: Type -> Type)

Since: base-4.7.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => Proxy m -> m

foldMap :: Monoid m => (a -> m) -> Proxy a -> m

foldMap' :: Monoid m => (a -> m) -> Proxy a -> m

foldr :: (a -> b -> b) -> b -> Proxy a -> b

foldr' :: (a -> b -> b) -> b -> Proxy a -> b

foldl :: (b -> a -> b) -> b -> Proxy a -> b

foldl' :: (b -> a -> b) -> b -> Proxy a -> b

foldr1 :: (a -> a -> a) -> Proxy a -> a

foldl1 :: (a -> a -> a) -> Proxy a -> a

toList :: Proxy a -> [a]

null :: Proxy a -> Bool

length :: Proxy a -> Int

elem :: Eq a => a -> Proxy a -> Bool

maximum :: Ord a => Proxy a -> a

minimum :: Ord a => Proxy a -> a

sum :: Num a => Proxy a -> a

product :: Num a => Proxy a -> a

Traversable (Proxy :: Type -> Type)

Since: base-4.7.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> Proxy a -> f (Proxy b)

sequenceA :: Applicative f => Proxy (f a) -> f (Proxy a)

mapM :: Monad m => (a -> m b) -> Proxy a -> m (Proxy b)

sequence :: Monad m => Proxy (m a) -> m (Proxy a)

Representable (Proxy :: Type -> Type)

Defined in Data.Functor.Rep

Associated Types

type Rep Proxy

Methods

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

index :: Proxy a -> Rep Proxy -> a

Alternative (Proxy :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Proxy

Methods

empty :: Proxy a

(<|>) :: Proxy a -> Proxy a -> Proxy a

some :: Proxy a -> Proxy [a]

many :: Proxy a -> Proxy [a]

MonadPlus (Proxy :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Proxy

Methods

mzero :: Proxy a

mplus :: Proxy a -> Proxy a -> Proxy a

NFData1 (Proxy :: Type -> Type)

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Proxy a -> ()

Hashable1 (Proxy :: Type -> Type)

Defined in Data.Hashable.Class

Methods

liftHashWithSalt :: (Int -> a -> Int) -> Int -> Proxy a -> Int

Bounded (Proxy t)

Since: base-4.7.0.0

Defined in Data.Proxy

Methods

minBound :: Proxy t

maxBound :: Proxy t

Enum (Proxy s)

Since: base-4.7.0.0

Defined in Data.Proxy

Methods

succ :: Proxy s -> Proxy s

pred :: Proxy s -> Proxy s

toEnum :: Int -> Proxy s

fromEnum :: Proxy s -> Int

enumFrom :: Proxy s -> [Proxy s]

enumFromThen :: Proxy s -> Proxy s -> [Proxy s]

enumFromTo :: Proxy s -> Proxy s -> [Proxy s]

enumFromThenTo :: Proxy s -> Proxy s -> Proxy s -> [Proxy s]

Eq (Proxy s)

Since: base-4.7.0.0

Defined in Data.Proxy

Methods

(==) :: Proxy s -> Proxy s -> Bool

(/=) :: Proxy s -> Proxy s -> Bool

Ord (Proxy s)

Since: base-4.7.0.0

Defined in Data.Proxy

Methods

compare :: Proxy s -> Proxy s -> Ordering

(<) :: Proxy s -> Proxy s -> Bool

(<=) :: Proxy s -> Proxy s -> Bool

(>) :: Proxy s -> Proxy s -> Bool

(>=) :: Proxy s -> Proxy s -> Bool

max :: Proxy s -> Proxy s -> Proxy s

min :: Proxy s -> Proxy s -> Proxy s

Read (Proxy t)

Since: base-4.7.0.0

Defined in Data.Proxy

Methods

readsPrec :: Int -> ReadS (Proxy t)

readList :: ReadS [Proxy t]

readPrec :: ReadPrec (Proxy t)

readListPrec :: ReadPrec [Proxy t]

Show (Proxy s)

Since: base-4.7.0.0

Defined in Data.Proxy

Methods

showsPrec :: Int -> Proxy s -> ShowS

show :: Proxy s -> String

showList :: [Proxy s] -> ShowS

Ix (Proxy s)

Since: base-4.7.0.0

Defined in Data.Proxy

Methods

range :: (Proxy s, Proxy s) -> [Proxy s]

index :: (Proxy s, Proxy s) -> Proxy s -> Int

unsafeIndex :: (Proxy s, Proxy s) -> Proxy s -> Int

inRange :: (Proxy s, Proxy s) -> Proxy s -> Bool

rangeSize :: (Proxy s, Proxy s) -> Int

unsafeRangeSize :: (Proxy s, Proxy s) -> Int

Generic (Proxy t)

Since: base-4.6.0.0

Defined in GHC.Generics

Associated Types

type Rep (Proxy t) :: Type -> Type

Methods

from :: Proxy t -> Rep (Proxy t) x

to :: Rep (Proxy t) x -> Proxy t

Semigroup (Proxy s)

Since: base-4.9.0.0

Defined in Data.Proxy

Methods

(<>) :: Proxy s -> Proxy s -> Proxy s

sconcat :: NonEmpty (Proxy s) -> Proxy s

stimes :: Integral b => b -> Proxy s -> Proxy s

Monoid (Proxy s)

Since: base-4.7.0.0

Defined in Data.Proxy

Methods

mempty :: Proxy s

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

mconcat :: [Proxy s] -> Proxy s

NFData (Proxy a)

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: Proxy a -> ()

Hashable (Proxy a)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Proxy a -> Int

hash :: Proxy a -> Int

type Rep1 (Proxy :: k -> Type)

Defined in GHC.Generics

type Rep1 (Proxy :: k -> Type) = D1 ('MetaData "Proxy" "Data.Proxy" "base" 'False) (C1 ('MetaCons "Proxy" 'PrefixI 'False) (U1 :: k -> Type))

type Rep (Proxy :: Type -> Type)

Defined in Data.Functor.Rep

type Rep (Proxy :: Type -> Type) = Void

type Rep (Proxy t)

Defined in GHC.Generics

type Rep (Proxy t) = D1 ('MetaData "Proxy" "Data.Proxy" "base" 'False) (C1 ('MetaCons "Proxy" 'PrefixI 'False) (U1 :: Type -> Type))

data IOMode

See openFile

Constructors

ReadMode

WriteMode

AppendMode

ReadWriteMode

Instances

Enum IOMode

Since: base-4.2.0.0

Defined in GHC.IO.IOMode

Methods

succ :: IOMode -> IOMode

pred :: IOMode -> IOMode

toEnum :: Int -> IOMode

fromEnum :: IOMode -> Int

enumFrom :: IOMode -> [IOMode]

enumFromThen :: IOMode -> IOMode -> [IOMode]

enumFromTo :: IOMode -> IOMode -> [IOMode]

enumFromThenTo :: IOMode -> IOMode -> IOMode -> [IOMode]

Eq IOMode

Since: base-4.2.0.0

Defined in GHC.IO.IOMode

Methods

(==) :: IOMode -> IOMode -> Bool

(/=) :: IOMode -> IOMode -> Bool

Ord IOMode

Since: base-4.2.0.0

Defined in GHC.IO.IOMode

Methods

compare :: IOMode -> IOMode -> Ordering

(<) :: IOMode -> IOMode -> Bool

(<=) :: IOMode -> IOMode -> Bool

(>) :: IOMode -> IOMode -> Bool

(>=) :: IOMode -> IOMode -> Bool

max :: IOMode -> IOMode -> IOMode

min :: IOMode -> IOMode -> IOMode

Read IOMode

Since: base-4.2.0.0

Defined in GHC.IO.IOMode

Methods

readsPrec :: Int -> ReadS IOMode

readList :: ReadS [IOMode]

readPrec :: ReadPrec IOMode

readListPrec :: ReadPrec [IOMode]

Show IOMode

Since: base-4.2.0.0

Defined in GHC.IO.IOMode

Methods

showsPrec :: Int -> IOMode -> ShowS

show :: IOMode -> String

showList :: [IOMode] -> ShowS

Ix IOMode

Since: base-4.2.0.0

Defined in GHC.IO.IOMode

Methods

range :: (IOMode, IOMode) -> [IOMode]

index :: (IOMode, IOMode) -> IOMode -> Int

unsafeIndex :: (IOMode, IOMode) -> IOMode -> Int

inRange :: (IOMode, IOMode) -> IOMode -> Bool

rangeSize :: (IOMode, IOMode) -> Int

unsafeRangeSize :: (IOMode, IOMode) -> Int

byteSwap64 :: Word64 -> Word64

Reverse order of bytes in Word64.

Since: base-4.7.0.0

byteSwap32 :: Word32 -> Word32

Reverse order of bytes in Word32.

Since: base-4.7.0.0

byteSwap16 :: Word16 -> Word16

Reverse order of bytes in Word16.

Since: base-4.7.0.0

xor :: Bits a => a -> a -> a infixl 6

Bitwise "xor"

integralEnumFromThenTo :: Integral a => a -> a -> a -> [a]

integralEnumFromTo :: Integral a => a -> a -> [a]

integralEnumFromThen :: (Integral a, Bounded a) => a -> a -> [a]

integralEnumFrom :: (Integral a, Bounded a) => a -> [a]

gcdWord' :: Word -> Word -> Word

gcdInt' :: Int -> Int -> Int

lcm :: Integral a => a -> a -> a

lcm x y is the smallest positive integer that both x and y divide.

gcd :: Integral a => a -> a -> a

gcd x y is the non-negative factor of both x and y of which every common factor of x and y is also a factor; for example gcd 4 2 = 2, gcd (-4) 6 = 2, gcd 0 4 = 4. gcd 0 0 = 0. (That is, the common divisor that is "greatest" in the divisibility preordering.)

Note: Since for signed fixed-width integer types, abs minBound < 0, the result may be negative if one of the arguments is minBound (and necessarily is if the other is 0 or minBound) for such types.

(^^%^^) :: Integral a => Rational -> a -> Rational

(^%^) :: Integral a => Rational -> a -> Rational

(^^) :: (Fractional a, Integral b) => a -> b -> a infixr 8

raise a number to an integral power

(^) :: (Num a, Integral b) => a -> b -> a infixr 8

raise a number to a non-negative integral power

odd :: Integral a => a -> Bool

even :: Integral a => a -> Bool

numericEnumFromThenTo :: (Ord a, Fractional a) => a -> a -> a -> [a]

numericEnumFromTo :: (Ord a, Fractional a) => a -> a -> [a]

numericEnumFromThen :: Fractional a => a -> a -> [a]

numericEnumFrom :: Fractional a => a -> [a]

denominator :: Ratio a -> a

Extract the denominator of the ratio in reduced form: the numerator and denominator have no common factor and the denominator is positive.

numerator :: Ratio a -> a

Extract the numerator of the ratio in reduced form: the numerator and denominator have no common factor and the denominator is positive.

reduce :: Integral a => a -> a -> Ratio a

reduce is a subsidiary function used only in this module. It normalises a ratio by dividing both numerator and denominator by their greatest common divisor.

notANumber :: Rational

infinity :: Rational

ratioPrec1 :: Int

ratioPrec :: Int

underflowError :: a

overflowError :: a

ratioZeroDenominatorError :: a

divZeroError :: a

boundedEnumFromThen :: (Enum a, Bounded a) => a -> a -> [a]

boundedEnumFrom :: (Enum a, Bounded a) => a -> [a]

chr :: Int -> Char

The toEnum method restricted to the type Char.

unzip3 :: [(a, b, c)] -> ([a], [b], [c])

The unzip3 function takes a list of triples and returns three lists, analogous to unzip.

unzip :: [(a, b)] -> ([a], [b])

unzip transforms a list of pairs into a list of first components and a list of second components.

zipWith :: (a -> b -> c) -> [a] -> [b] -> [c]

\(\mathcal{O}(\min(m,n))\). zipWith generalises zip by zipping with the function given as the first argument, instead of a tupling function. For example, zipWith (+) is applied to two lists to produce the list of corresponding sums:

>>> zipWith (+) [1, 2, 3] [4, 5, 6]
[5,7,9]

zipWith is right-lazy:

zipWith f [] _|_ = []

zipWith is capable of list fusion, but it is restricted to its first list argument and its resulting list.

zip3 :: [a] -> [b] -> [c] -> [(a, b, c)]

zip3 takes three lists and returns a list of triples, analogous to zip. It is capable of list fusion, but it is restricted to its first list argument and its resulting list.

reverse :: [a] -> [a]

reverse xs returns the elements of xs in reverse order. xs must be finite.

break :: (a -> Bool) -> [a] -> ([a], [a])

break, applied to a predicate p and a list xs, returns a tuple where first element is longest prefix (possibly empty) of xs of elements that do not satisfy p and second element is the remainder of the list:

break (> 3) [1,2,3,4,1,2,3,4] == ([1,2,3],[4,1,2,3,4])
break (< 9) [1,2,3] == ([],[1,2,3])
break (> 9) [1,2,3] == ([1,2,3],[])

break p is equivalent to span (not . p).

splitAt :: Int -> [a] -> ([a], [a])

splitAt n xs returns a tuple where first element is xs prefix of length n and second element is the remainder of the list:

splitAt 6 "Hello World!" == ("Hello ","World!")
splitAt 3 [1,2,3,4,5] == ([1,2,3],[4,5])
splitAt 1 [1,2,3] == ([1],[2,3])
splitAt 3 [1,2,3] == ([1,2,3],[])
splitAt 4 [1,2,3] == ([1,2,3],[])
splitAt 0 [1,2,3] == ([],[1,2,3])
splitAt (-1) [1,2,3] == ([],[1,2,3])

It is equivalent to (take n xs, drop n xs) when n is not _|_ (splitAt _|_ xs = _|_). splitAt is an instance of the more general genericSplitAt, in which n may be of any integral type.

drop :: Int -> [a] -> [a]

drop n xs returns the suffix of xs after the first n elements, or [] if n > length xs:

drop 6 "Hello World!" == "World!"
drop 3 [1,2,3,4,5] == [4,5]
drop 3 [1,2] == []
drop 3 [] == []
drop (-1) [1,2] == [1,2]
drop 0 [1,2] == [1,2]

It is an instance of the more general genericDrop, in which n may be of any integral type.

take :: Int -> [a] -> [a]

take n, applied to a list xs, returns the prefix of xs of length n, or xs itself if n > length xs:

take 5 "Hello World!" == "Hello"
take 3 [1,2,3,4,5] == [1,2,3]
take 3 [1,2] == [1,2]
take 3 [] == []
take (-1) [1,2] == []
take 0 [1,2] == []

It is an instance of the more general genericTake, in which n may be of any integral type.

dropWhile :: (a -> Bool) -> [a] -> [a]

dropWhile p xs returns the suffix remaining after takeWhile p xs:

dropWhile (< 3) [1,2,3,4,5,1,2,3] == [3,4,5,1,2,3]
dropWhile (< 9) [1,2,3] == []
dropWhile (< 0) [1,2,3] == [1,2,3]

takeWhile :: (a -> Bool) -> [a] -> [a]

takeWhile, applied to a predicate p and a list xs, returns the longest prefix (possibly empty) of xs of elements that satisfy p:

takeWhile (< 3) [1,2,3,4,1,2,3,4] == [1,2]
takeWhile (< 9) [1,2,3] == [1,2,3]
takeWhile (< 0) [1,2,3] == []

cycle :: [a] -> [a]

cycle ties a finite list into a circular one, or equivalently, the infinite repetition of the original list. It is the identity on infinite lists.

replicate :: Int -> a -> [a]

replicate n x is a list of length n with x the value of every element. It is an instance of the more general genericReplicate, in which n may be of any integral type.

repeat :: a -> [a]

repeat x is an infinite list, with x the value of every element.

iterate :: (a -> a) -> a -> [a]

iterate f x returns an infinite list of repeated applications of f to x:

iterate f x == [x, f x, f (f x), ...]

Note that iterate is lazy, potentially leading to thunk build-up if the consumer doesn't force each iterate. See iterate' for a strict variant of this function.

scanr :: (a -> b -> b) -> b -> [a] -> [b]

\(\mathcal{O}(n)\). scanr is the right-to-left dual of scanl. Note that

head (scanr f z xs) == foldr f z xs.

scanl :: (b -> a -> b) -> b -> [a] -> [b]

\(\mathcal{O}(n)\). scanl is similar to foldl, but returns a list of successive reduced values from the left:

scanl f z [x1, x2, ...] == [z, z `f` x1, (z `f` x1) `f` x2, ...]

Note that

last (scanl f z xs) == foldl f z xs.

mapMaybe :: (a -> Maybe b) -> [a] -> [b]

The mapMaybe function is a version of map which can throw out elements. In particular, the functional argument returns something of type Maybe b. If this is Nothing, no element is added on to the result list. If it is Just b, then b is included in the result list.

Examples

Using mapMaybe f x is a shortcut for catMaybes $ map f x in most cases:

>>> import Text.Read ( readMaybe )
>>> let readMaybeInt = readMaybe :: String -> Maybe Int
>>> mapMaybe readMaybeInt ["1", "Foo", "3"]
[1,3]
>>> catMaybes $ map readMaybeInt ["1", "Foo", "3"]
[1,3]

If we map the Just constructor, the entire list should be returned:

>>> mapMaybe Just [1,2,3]
[1,2,3]

catMaybes :: [Maybe a] -> [a]

The catMaybes function takes a list of Maybes and returns a list of all the Just values.

Examples

Basic usage:

>>> catMaybes [Just 1, Nothing, Just 3]
[1,3]

When constructing a list of Maybe values, catMaybes can be used to return all of the "success" results (if the list is the result of a map, then mapMaybe would be more appropriate):

>>> import Text.Read ( readMaybe )
>>> [readMaybe x :: Maybe Int | x <- ["1", "Foo", "3"] ]
[Just 1,Nothing,Just 3]
>>> catMaybes $ [readMaybe x :: Maybe Int | x <- ["1", "Foo", "3"] ]
[1,3]

listToMaybe :: [a] -> Maybe a

The listToMaybe function returns Nothing on an empty list or Just a where a is the first element of the list.

Examples

Basic usage:

>>> listToMaybe []
Nothing

>>> listToMaybe [9]
Just 9

>>> listToMaybe [1,2,3]
Just 1

Composing maybeToList with listToMaybe should be the identity on singleton/empty lists:

>>> maybeToList $ listToMaybe [5]
[5]
>>> maybeToList $ listToMaybe []
[]

But not on lists with more than one element:

>>> maybeToList $ listToMaybe [1,2,3]
[1]

maybeToList :: Maybe a -> [a]

The maybeToList function returns an empty list when given Nothing or a singleton list when given Just.

Examples

Basic usage:

>>> maybeToList (Just 7)
[7]

>>> maybeToList Nothing
[]

One can use maybeToList to avoid pattern matching when combined with a function that (safely) works on lists:

>>> import Text.Read ( readMaybe )
>>> sum $ maybeToList (readMaybe "3")
3
>>> sum $ maybeToList (readMaybe "")
0

fromMaybe :: a -> Maybe a -> a

The fromMaybe function takes a default value and and Maybe value. If the Maybe is Nothing, it returns the default values; otherwise, it returns the value contained in the Maybe.

Examples

Basic usage:

>>> fromMaybe "" (Just "Hello, World!")
"Hello, World!"

>>> fromMaybe "" Nothing
""

Read an integer from a string using readMaybe. If we fail to parse an integer, we want to return 0 by default:

>>> import Text.Read ( readMaybe )
>>> fromMaybe 0 (readMaybe "5")
5
>>> fromMaybe 0 (readMaybe "")
0

isNothing :: Maybe a -> Bool

The isNothing function returns True iff its argument is Nothing.

Examples

Basic usage:

>>> isNothing (Just 3)
False

>>> isNothing (Just ())
False

>>> isNothing Nothing
True

Only the outer constructor is taken into consideration:

>>> isNothing (Just Nothing)
False

isJust :: Maybe a -> Bool

The isJust function returns True iff its argument is of the form Just _.

Examples

Basic usage:

>>> isJust (Just 3)
True

>>> isJust (Just ())
True

>>> isJust Nothing
False

Only the outer constructor is taken into consideration:

>>> isJust (Just Nothing)
True

maybe :: b -> (a -> b) -> Maybe a -> b

The maybe function takes a default value, a function, and a Maybe value. If the Maybe value is Nothing, the function returns the default value. Otherwise, it applies the function to the value inside the Just and returns the result.

Examples

Basic usage:

>>> maybe False odd (Just 3)
True

>>> maybe False odd Nothing
False

Read an integer from a string using readMaybe. If we succeed, return twice the integer; that is, apply (*2) to it. If instead we fail to parse an integer, return 0 by default:

>>> import Text.Read ( readMaybe )
>>> maybe 0 (*2) (readMaybe "5")
10
>>> maybe 0 (*2) (readMaybe "")
0

Apply show to a Maybe Int. If we have Just n, we want to show the underlying Int n. But if we have Nothing, we return the empty string instead of (for example) "Nothing":

>>> maybe "" show (Just 5)
"5"
>>> maybe "" show Nothing
""

bool :: a -> a -> Bool -> a

Case analysis for the Bool type. bool x y p evaluates to x when p is False, and evaluates to y when p is True.

This is equivalent to if p then y else x; that is, one can think of it as an if-then-else construct with its arguments reordered.

Examples

Basic usage:

>>> bool "foo" "bar" True
"bar"
>>> bool "foo" "bar" False
"foo"

Confirm that bool x y p and if p then y else x are equivalent:

>>> let p = True; x = "bar"; y = "foo"
>>> bool x y p == if p then y else x
True
>>> let p = False
>>> bool x y p == if p then y else x
True

Since: base-4.7.0.0

on :: (b -> b -> c) -> (a -> b) -> a -> a -> c infixl 0

on b u x y runs the binary function b on the results of applying unary function u to two arguments x and y. From the opposite perspective, it transforms two inputs and combines the outputs.

((+) `on` f) x y = f x + f y

Typical usage: sortBy (compare `on` fst).

Algebraic properties:

• (*) `on` id = (*) -- (if (*) ∉ {⊥, const ⊥})

• ((*) `on` f) `on` g = (*) `on` (f . g)

• flip on f . flip on g = flip on (g . f)

fix :: (a -> a) -> a

fix f is the least fixed point of the function f, i.e. the least defined x such that f x = x.

For example, we can write the factorial function using direct recursion as

>>> let fac n = if n <= 1 then 1 else n * fac (n-1) in fac 5
120

This uses the fact that Haskell’s let introduces recursive bindings. We can rewrite this definition using fix,

>>> fix (\rec n -> if n <= 1 then 1 else n * rec (n-1)) 5
120

Instead of making a recursive call, we introduce a dummy parameter rec; when used within fix, this parameter then refers to fix’s argument, hence the recursion is reintroduced.

void :: Functor f => f a -> f ()

void value discards or ignores the result of evaluation, such as the return value of an IO action.

Using ApplicativeDo: 'void as' can be understood as the do expression

do as
   pure ()

with an inferred Functor constraint.

Examples

Replace the contents of a Maybe Int with unit:

>>> void Nothing
Nothing
>>> void (Just 3)
Just ()

Replace the contents of an Either Int Int with unit, resulting in an Either Int ():

>>> void (Left 8675309)
Left 8675309
>>> void (Right 8675309)
Right ()

Replace every element of a list with unit:

>>> void [1,2,3]
[(),(),()]

Replace the second element of a pair with unit:

>>> void (1,2)
(1,())

Discard the result of an IO action:

>>> mapM print [1,2]
1
2
[(),()]
>>> void $ mapM print [1,2]
1
2

($>) :: Functor f => f a -> b -> f b infixl 4

Flipped version of <$.

Using ApplicativeDo: 'as $> b' can be understood as the do expression

do as
   pure b

with an inferred Functor constraint.

Examples

Replace the contents of a Maybe Int with a constant String:

>>> Nothing $> "foo"
Nothing
>>> Just 90210 $> "foo"
Just "foo"

Replace the contents of an Either Int Int with a constant String, resulting in an Either Int String:

>>> Left 8675309 $> "foo"
Left 8675309
>>> Right 8675309 $> "foo"
Right "foo"

Replace each element of a list with a constant String:

>>> [1,2,3] $> "foo"
["foo","foo","foo"]

Replace the second element of a pair with a constant String:

>>> (1,2) $> "foo"
(1,"foo")

Since: base-4.7.0.0

(<$>) :: Functor f => (a -> b) -> f a -> f b infixl 4

An infix synonym for fmap.

The name of this operator is an allusion to $. Note the similarities between their types:

 ($)  ::              (a -> b) ->   a ->   b
(<$>) :: Functor f => (a -> b) -> f a -> f b

Whereas $ is function application, <$> is function application lifted over a Functor.

Examples

Convert from a Maybe Int to a Maybe String using show:

>>> show <$> Nothing
Nothing
>>> show <$> Just 3
Just "3"

Convert from an Either Int Int to an Either Int String using show:

>>> show <$> Left 17
Left 17
>>> show <$> Right 17
Right "17"

Double each element of a list:

>>> (*2) <$> [1,2,3]
[2,4,6]

Apply even to the second element of a pair:

>>> even <$> (2,2)
(2,True)

swap :: (a, b) -> (b, a)

Swap the components of a pair.

uncurry :: (a -> b -> c) -> (a, b) -> c

uncurry converts a curried function to a function on pairs.

Examples

>>> uncurry (+) (1,2)
3

>>> uncurry ($) (show, 1)
"1"

>>> map (uncurry max) [(1,2), (3,4), (6,8)]
[2,4,8]

curry :: ((a, b) -> c) -> a -> b -> c

curry converts an uncurried function to a curried function.

Examples

>>> curry fst 1 2
1

data MVar a

An MVar (pronounced "em-var") is a synchronising variable, used for communication between concurrent threads. It can be thought of as a box, which may be empty or full.

Instances

NFData1 MVar

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> MVar a -> ()

Eq (MVar a)

Since: base-4.1.0.0

Defined in GHC.MVar

Methods

(==) :: MVar a -> MVar a -> Bool

(/=) :: MVar a -> MVar a -> Bool

NFData (MVar a)

NOTE: Only strict in the reference and not the referenced value.

Since: deepseq-1.4.2.0

Defined in Control.DeepSeq

Methods

rnf :: MVar a -> ()

subtract :: Num a => a -> a -> a

the same as flip (-).

Because - is treated specially in the Haskell grammar, (- e) is not a section, but an application of prefix negation. However, (subtract exp) is equivalent to the disallowed section.

currentCallStack :: IO [String]

Returns a [String] representing the current call stack. This can be useful for debugging.

The implementation uses the call-stack simulation maintained by the profiler, so it only works if the program was compiled with -prof and contains suitable SCC annotations (e.g. by using -fprof-auto). Otherwise, the list returned is likely to be empty or uninformative.

Since: base-4.5.0.0

asTypeOf :: a -> a -> a

asTypeOf is a type-restricted version of const. It is usually used as an infix operator, and its typing forces its first argument (which is usually overloaded) to have the same type as the second.

flip :: (a -> b -> c) -> b -> a -> c

flip f takes its (first) two arguments in the reverse order of f.

>>> flip (++) "hello" "world"
"worldhello"

(.) :: (b -> c) -> (a -> b) -> a -> c infixr 9

Function composition.

const :: a -> b -> a

const x is a unary function which evaluates to x for all inputs.

>>> const 42 "hello"
42

>>> map (const 42) [0..3]
[42,42,42,42]

maxInt :: Int

minInt :: Int

ord :: Char -> Int

The fromEnum method restricted to the type Char.

ap :: Monad m => m (a -> b) -> m a -> m b

In many situations, the liftM operations can be replaced by uses of ap, which promotes function application.

return f `ap` x1 `ap` ... `ap` xn

is equivalent to

liftMn f x1 x2 ... xn

liftM5 :: Monad m => (a1 -> a2 -> a3 -> a4 -> a5 -> r) -> m a1 -> m a2 -> m a3 -> m a4 -> m a5 -> m r

Promote a function to a monad, scanning the monadic arguments from left to right (cf. liftM2).

liftM4 :: Monad m => (a1 -> a2 -> a3 -> a4 -> r) -> m a1 -> m a2 -> m a3 -> m a4 -> m r

Promote a function to a monad, scanning the monadic arguments from left to right (cf. liftM2).

liftM3 :: Monad m => (a1 -> a2 -> a3 -> r) -> m a1 -> m a2 -> m a3 -> m r

Promote a function to a monad, scanning the monadic arguments from left to right (cf. liftM2).

liftM2 :: Monad m => (a1 -> a2 -> r) -> m a1 -> m a2 -> m r

Promote a function to a monad, scanning the monadic arguments from left to right. For example,

liftM2 (+) [0,1] [0,2] = [0,2,1,3]
liftM2 (+) (Just 1) Nothing = Nothing

when :: Applicative f => Bool -> f () -> f ()

Conditional execution of Applicative expressions. For example,

when debug (putStrLn "Debugging")

will output the string Debugging if the Boolean value debug is True, and otherwise do nothing.

(=<<) :: Monad m => (a -> m b) -> m a -> m b infixr 1

Same as >>=, but with the arguments interchanged.

liftA3 :: Applicative f => (a -> b -> c -> d) -> f a -> f b -> f c -> f d

Lift a ternary function to actions.

Using ApplicativeDo: 'liftA3 f as bs cs' can be understood as the do expression

do a <- as
   b <- bs
   c <- cs
   pure (f a b c)

(<**>) :: Applicative f => f a -> f (a -> b) -> f b infixl 4

A variant of <*> with the arguments reversed.

Using ApplicativeDo: 'as <**> fs' can be understood as the do expression

do a <- as
   f <- fs
   pure (f a)

class Applicative f => Alternative (f :: Type -> Type) where

A monoid on applicative functors.

If defined, some and many should be the least solutions of the equations:

• some v = (:) <$> v <*> many v

• many v = some v <|> pure []

Minimal complete definition

empty, (<|>)

Methods

empty :: f a

The identity of <|>

(<|>) :: f a -> f a -> f a infixl 3

An associative binary operation

some :: f a -> f [a]

One or more.

many :: f a -> f [a]

Zero or more.

Instances

Alternative []

Since: base-2.1

Defined in GHC.Base

Methods

empty :: [a]

(<|>) :: [a] -> [a] -> [a]

some :: [a] -> [[a]]

many :: [a] -> [[a]]

Alternative Maybe

Since: base-2.1

Defined in GHC.Base

Methods

empty :: Maybe a

(<|>) :: Maybe a -> Maybe a -> Maybe a

some :: Maybe a -> Maybe [a]

many :: Maybe a -> Maybe [a]

Alternative IO

Since: base-4.9.0.0

Defined in GHC.Base

Methods

empty :: IO a

(<|>) :: IO a -> IO a -> IO a

some :: IO a -> IO [a]

many :: IO a -> IO [a]

Alternative Option

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

empty :: Option a

(<|>) :: Option a -> Option a -> Option a

some :: Option a -> Option [a]

many :: Option a -> Option [a]

Alternative ZipList

Since: base-4.11.0.0

Defined in Control.Applicative

Methods

empty :: ZipList a

(<|>) :: ZipList a -> ZipList a -> ZipList a

some :: ZipList a -> ZipList [a]

many :: ZipList a -> ZipList [a]

Alternative STM

Since: base-4.8.0.0

Defined in GHC.Conc.Sync

Methods

empty :: STM a

(<|>) :: STM a -> STM a -> STM a

some :: STM a -> STM [a]

many :: STM a -> STM [a]

Alternative ReadP

Since: base-4.6.0.0

Defined in Text.ParserCombinators.ReadP

Methods

empty :: ReadP a

(<|>) :: ReadP a -> ReadP a -> ReadP a

some :: ReadP a -> ReadP [a]

many :: ReadP a -> ReadP [a]

Alternative Seq

Since: containers-0.5.4

Defined in Data.Sequence.Internal

Methods

empty :: Seq a

(<|>) :: Seq a -> Seq a -> Seq a

some :: Seq a -> Seq [a]

many :: Seq a -> Seq [a]

Alternative Vector

Defined in Data.Vector

Methods

empty :: Vector a

(<|>) :: Vector a -> Vector a -> Vector a

some :: Vector a -> Vector [a]

many :: Vector a -> Vector [a]

Alternative P

Since: base-4.5.0.0

Defined in Text.ParserCombinators.ReadP

Methods

empty :: P a

(<|>) :: P a -> P a -> P a

some :: P a -> P [a]

many :: P a -> P [a]

Alternative (U1 :: Type -> Type)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

empty :: U1 a

(<|>) :: U1 a -> U1 a -> U1 a

some :: U1 a -> U1 [a]

many :: U1 a -> U1 [a]

MonadPlus m => Alternative (WrappedMonad m)

Since: base-2.1

Defined in Control.Applicative

Methods

empty :: WrappedMonad m a

(<|>) :: WrappedMonad m a -> WrappedMonad m a -> WrappedMonad m a

some :: WrappedMonad m a -> WrappedMonad m [a]

many :: WrappedMonad m a -> WrappedMonad m [a]

ArrowPlus a => Alternative (ArrowMonad a)

Since: base-4.6.0.0

Defined in Control.Arrow

Methods

empty :: ArrowMonad a a0

(<|>) :: ArrowMonad a a0 -> ArrowMonad a a0 -> ArrowMonad a a0

some :: ArrowMonad a a0 -> ArrowMonad a [a0]

many :: ArrowMonad a a0 -> ArrowMonad a [a0]

Alternative (Proxy :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Proxy

Methods

empty :: Proxy a

(<|>) :: Proxy a -> Proxy a -> Proxy a

some :: Proxy a -> Proxy [a]

many :: Proxy a -> Proxy [a]

(Functor m, Monad m) => Alternative (MaybeT m)

Defined in Control.Monad.Trans.Maybe

Methods

empty :: MaybeT m a

(<|>) :: MaybeT m a -> MaybeT m a -> MaybeT m a

some :: MaybeT m a -> MaybeT m [a]

many :: MaybeT m a -> MaybeT m [a]

Alternative v => Alternative (Free v)

This violates the Alternative laws, handle with care.

Defined in Control.Monad.Free

Methods

empty :: Free v a

(<|>) :: Free v a -> Free v a -> Free v a

some :: Free v a -> Free v [a]

many :: Free v a -> Free v [a]

Alternative f => Alternative (Yoneda f)

Defined in Data.Functor.Yoneda

Methods

empty :: Yoneda f a

(<|>) :: Yoneda f a -> Yoneda f a -> Yoneda f a

some :: Yoneda f a -> Yoneda f [a]

many :: Yoneda f a -> Yoneda f [a]

Alternative (ReifiedFold s)

Defined in Control.Lens.Reified

Methods

empty :: ReifiedFold s a

(<|>) :: ReifiedFold s a -> ReifiedFold s a -> ReifiedFold s a

some :: ReifiedFold s a -> ReifiedFold s [a]

many :: ReifiedFold s a -> ReifiedFold s [a]

Alternative f => Alternative (Rec1 f)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

empty :: Rec1 f a

(<|>) :: Rec1 f a -> Rec1 f a -> Rec1 f a

some :: Rec1 f a -> Rec1 f [a]

many :: Rec1 f a -> Rec1 f [a]

(ArrowZero a, ArrowPlus a) => Alternative (WrappedArrow a b)

Since: base-2.1

Defined in Control.Applicative

Methods

empty :: WrappedArrow a b a0

(<|>) :: WrappedArrow a b a0 -> WrappedArrow a b a0 -> WrappedArrow a b a0

some :: WrappedArrow a b a0 -> WrappedArrow a b [a0]

many :: WrappedArrow a b a0 -> WrappedArrow a b [a0]

Alternative m => Alternative (Kleisli m a)

Since: base-4.14.0.0

Defined in Control.Arrow

Methods

empty :: Kleisli m a a0

(<|>) :: Kleisli m a a0 -> Kleisli m a a0 -> Kleisli m a a0

some :: Kleisli m a a0 -> Kleisli m a [a0]

many :: Kleisli m a a0 -> Kleisli m a [a0]

Alternative f => Alternative (Ap f)

Since: base-4.12.0.0

Defined in Data.Monoid

Methods

empty :: Ap f a

(<|>) :: Ap f a -> Ap f a -> Ap f a

some :: Ap f a -> Ap f [a]

many :: Ap f a -> Ap f [a]

Alternative f => Alternative (Alt f)

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

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]

Alternative m => Alternative (IdentityT m)

Defined in Control.Monad.Trans.Identity

Methods

empty :: IdentityT m a

(<|>) :: IdentityT m a -> IdentityT m a -> IdentityT m a

some :: IdentityT m a -> IdentityT m [a]

many :: IdentityT m a -> IdentityT m [a]

(Functor m, Monad m, Monoid e) => Alternative (ExceptT e m)

Defined in Control.Monad.Trans.Except

Methods

empty :: ExceptT e m a

(<|>) :: ExceptT e m a -> ExceptT e m a -> ExceptT e m a

some :: ExceptT e m a -> ExceptT e m [a]

many :: ExceptT e m a -> ExceptT e m [a]

(Functor f, MonadPlus m) => Alternative (FreeT f m)

Defined in Control.Monad.Trans.Free

Methods

empty :: FreeT f m a

(<|>) :: FreeT f m a -> FreeT f m a -> FreeT f m a

some :: FreeT f m a -> FreeT f m [a]

many :: FreeT f m a -> FreeT f m [a]

(Functor m, Monad m, Error e) => Alternative (ErrorT e m)

Defined in Control.Monad.Trans.Error

Methods

empty :: ErrorT e m a

(<|>) :: ErrorT e m a -> ErrorT e m a -> ErrorT e m a

some :: ErrorT e m a -> ErrorT e m [a]

many :: ErrorT e m a -> ErrorT e m [a]

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

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]

Alternative m => Alternative (ReaderT r m)

Defined in Control.Monad.Trans.Reader

Methods

empty :: ReaderT r m a

(<|>) :: ReaderT r m a -> ReaderT r m a -> ReaderT r m a

some :: ReaderT r m a -> ReaderT r m [a]

many :: ReaderT r m a -> ReaderT r m [a]

(Alternative f, Alternative g) => Alternative (f :*: g)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

empty :: (f :*: g) a

(<|>) :: (f :*: g) a -> (f :*: g) a -> (f :*: g) a

some :: (f :*: g) a -> (f :*: g) [a]

many :: (f :*: g) a -> (f :*: g) [a]

Alternative f => Alternative (M1 i c f)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

empty :: M1 i c f a

(<|>) :: M1 i c f a -> M1 i c f a -> M1 i c f a

some :: M1 i c f a -> M1 i c f [a]

many :: M1 i c f a -> M1 i c f [a]

(Alternative f, Applicative g) => Alternative (f :.: g)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

empty :: (f :.: g) a

(<|>) :: (f :.: g) a -> (f :.: g) a -> (f :.: g) a

some :: (f :.: g) a -> (f :.: g) [a]

many :: (f :.: g) a -> (f :.: g) [a]

(Alternative f, Applicative g) => Alternative (Compose f g)

Since: base-4.9.0.0

Defined in Data.Functor.Compose

Methods

empty :: Compose f g a

(<|>) :: Compose f g a -> Compose f g a -> Compose f g a

some :: Compose f g a -> Compose f g [a]

many :: Compose f g a -> Compose f g [a]

class (Alternative m, Monad m) => MonadPlus (m :: Type -> Type) where

Monads that also support choice and failure.

Minimal complete definition

Nothing

Methods

mzero :: m a

The identity of mplus. It should also satisfy the equations

mzero >>= f  =  mzero
v >> mzero   =  mzero

The default definition is

mzero = empty

mplus :: m a -> m a -> m a

An associative operation. The default definition is

mplus = (<|>)

Instances

MonadPlus []

Since: base-2.1

Defined in GHC.Base

Methods

mzero :: [a]

mplus :: [a] -> [a] -> [a]

MonadPlus Maybe

Since: base-2.1

Defined in GHC.Base

Methods

mzero :: Maybe a

mplus :: Maybe a -> Maybe a -> Maybe a

MonadPlus IO

Since: base-4.9.0.0

Defined in GHC.Base

Methods

mzero :: IO a

mplus :: IO a -> IO a -> IO a

MonadPlus Option

Since: base-4.9.0.0

Defined in Data.Semigroup

Methods

mzero :: Option a

mplus :: Option a -> Option a -> Option a

MonadPlus STM

Since: base-4.3.0.0

Defined in GHC.Conc.Sync

Methods

mzero :: STM a

mplus :: STM a -> STM a -> STM a

MonadPlus ReadP

Since: base-2.1

Defined in Text.ParserCombinators.ReadP

Methods

mzero :: ReadP a

mplus :: ReadP a -> ReadP a -> ReadP a

MonadPlus Seq

Defined in Data.Sequence.Internal

Methods

mzero :: Seq a

mplus :: Seq a -> Seq a -> Seq a

MonadPlus Vector

Defined in Data.Vector

Methods

mzero :: Vector a

mplus :: Vector a -> Vector a -> Vector a

MonadPlus P

Since: base-2.1

Defined in Text.ParserCombinators.ReadP

Methods

mzero :: P a

mplus :: P a -> P a -> P a

MonadPlus (U1 :: Type -> Type)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

mzero :: U1 a

mplus :: U1 a -> U1 a -> U1 a

(ArrowApply a, ArrowPlus a) => MonadPlus (ArrowMonad a)

Since: base-4.6.0.0

Defined in Control.Arrow

Methods

mzero :: ArrowMonad a a0

mplus :: ArrowMonad a a0 -> ArrowMonad a a0 -> ArrowMonad a a0

MonadPlus (Proxy :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Proxy

Methods

mzero :: Proxy a

mplus :: Proxy a -> Proxy a -> Proxy a

Monad m => MonadPlus (MaybeT m)

Defined in Control.Monad.Trans.Maybe

Methods

mzero :: MaybeT m a

mplus :: MaybeT m a -> MaybeT m a -> MaybeT m a

(Functor v, MonadPlus v) => MonadPlus (Free v)

This violates the MonadPlus laws, handle with care.

Defined in Control.Monad.Free

Methods

mzero :: Free v a

mplus :: Free v a -> Free v a -> Free v a

MonadPlus m => MonadPlus (Yoneda m)

Defined in Data.Functor.Yoneda

Methods

mzero :: Yoneda m a

mplus :: Yoneda m a -> Yoneda m a -> Yoneda m a

MonadPlus (ReifiedFold s)

Defined in Control.Lens.Reified

Methods

mzero :: ReifiedFold s a

mplus :: ReifiedFold s a -> ReifiedFold s a -> ReifiedFold s a

MonadPlus f => MonadPlus (Rec1 f)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

mzero :: Rec1 f a

mplus :: Rec1 f a -> Rec1 f a -> Rec1 f a

MonadPlus m => MonadPlus (Kleisli m a)

Since: base-4.14.0.0

Defined in Control.Arrow

Methods

mzero :: Kleisli m a a0

mplus :: Kleisli m a a0 -> Kleisli m a a0 -> Kleisli m a a0

MonadPlus f => MonadPlus (Ap f)

Since: base-4.12.0.0

Defined in Data.Monoid

Methods

mzero :: Ap f a

mplus :: Ap f a -> Ap f a -> Ap f a

MonadPlus f => MonadPlus (Alt f)

Since: base-4.8.0.0

Defined in Data.Semigroup.Internal

Methods

mzero :: Alt f a

mplus :: Alt f a -> Alt f a -> Alt f a

MonadPlus m => MonadPlus (IdentityT m)

Defined in Control.Monad.Trans.Identity

Methods

mzero :: IdentityT m a

mplus :: IdentityT m a -> IdentityT m a -> IdentityT m a

(Monad m, Monoid e) => MonadPlus (ExceptT e m)

Defined in Control.Monad.Trans.Except

Methods

mzero :: ExceptT e m a

mplus :: ExceptT e m a -> ExceptT e m a -> ExceptT e m a

(Functor f, MonadPlus m) => MonadPlus (FreeT f m)

Defined in Control.Monad.Trans.Free

Methods

mzero :: FreeT f m a

mplus :: FreeT f m a -> FreeT f m a -> FreeT f m a

(Monad m, Error e) => MonadPlus (ErrorT e m)

Defined in Control.Monad.Trans.Error

Methods

mzero :: ErrorT e m a

mplus :: ErrorT e m a -> ErrorT e m a -> ErrorT e m a

MonadPlus m => MonadPlus (StateT s m)

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

MonadPlus m => MonadPlus (ReaderT r m)

Defined in Control.Monad.Trans.Reader

Methods

mzero :: ReaderT r m a

mplus :: ReaderT r m a -> ReaderT r m a -> ReaderT r m a

(MonadPlus f, MonadPlus g) => MonadPlus (f :*: g)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

mzero :: (f :*: g) a

mplus :: (f :*: g) a -> (f :*: g) a -> (f :*: g) a

MonadPlus f => MonadPlus (M1 i c f)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

mzero :: M1 i c f a

mplus :: M1 i c f a -> M1 i c f a -> M1 i c f a

data NonEmpty a

Non-empty (and non-strict) list type.

Since: base-4.9.0.0

Constructors

a :| [a] infixr 5

Instances

Monad NonEmpty

Since: base-4.9.0.0

Defined in GHC.Base

Methods

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

(>>) :: NonEmpty a -> NonEmpty b -> NonEmpty b

return :: a -> NonEmpty a

Functor NonEmpty

Since: base-4.9.0.0

Defined in GHC.Base

Methods

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

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

Applicative NonEmpty

Since: base-4.9.0.0

Defined in GHC.Base

Methods

pure :: a -> NonEmpty a

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

liftA2 :: (a -> b -> c) -> NonEmpty a -> NonEmpty b -> NonEmpty c

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

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

Foldable NonEmpty

Since: base-4.9.0.0

Defined in Data.Foldable

Methods

fold :: Monoid m => NonEmpty m -> m

foldMap :: Monoid m => (a -> m) -> NonEmpty a -> m

foldMap' :: Monoid m => (a -> m) -> NonEmpty a -> m

foldr :: (a -> b -> b) -> b -> NonEmpty a -> b

foldr' :: (a -> b -> b) -> b -> NonEmpty a -> b

foldl :: (b -> a -> b) -> b -> NonEmpty a -> b

foldl' :: (b -> a -> b) -> b -> NonEmpty a -> b

foldr1 :: (a -> a -> a) -> NonEmpty a -> a

foldl1 :: (a -> a -> a) -> NonEmpty a -> a

toList :: NonEmpty a -> [a]

null :: NonEmpty a -> Bool

length :: NonEmpty a -> Int

elem :: Eq a => a -> NonEmpty a -> Bool

maximum :: Ord a => NonEmpty a -> a

minimum :: Ord a => NonEmpty a -> a

sum :: Num a => NonEmpty a -> a

product :: Num a => NonEmpty a -> a

Traversable NonEmpty

Since: base-4.9.0.0

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> NonEmpty a -> f (NonEmpty b)

sequenceA :: Applicative f => NonEmpty (f a) -> f (NonEmpty a)

mapM :: Monad m => (a -> m b) -> NonEmpty a -> m (NonEmpty b)

sequence :: Monad m => NonEmpty (m a) -> m (NonEmpty a)

NFData1 NonEmpty

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> NonEmpty a -> ()

IsList (NonEmpty a)

Since: base-4.9.0.0

Defined in GHC.Exts

Associated Types

type Item (NonEmpty a)

Methods

fromList :: [Item (NonEmpty a)] -> NonEmpty a

fromListN :: Int -> [Item (NonEmpty a)] -> NonEmpty a

toList :: NonEmpty a -> [Item (NonEmpty a)]

Eq a => Eq (NonEmpty a)

Since: base-4.9.0.0

Defined in GHC.Base

Methods

(==) :: NonEmpty a -> NonEmpty a -> Bool

(/=) :: NonEmpty a -> NonEmpty a -> Bool

Ord a => Ord (NonEmpty a)

Since: base-4.9.0.0

Defined in GHC.Base

Methods

compare :: NonEmpty a -> NonEmpty a -> Ordering

(<) :: NonEmpty a -> NonEmpty a -> Bool

(<=) :: NonEmpty a -> NonEmpty a -> Bool

(>) :: NonEmpty a -> NonEmpty a -> Bool

(>=) :: NonEmpty a -> NonEmpty a -> Bool

max :: NonEmpty a -> NonEmpty a -> NonEmpty a

min :: NonEmpty a -> NonEmpty a -> NonEmpty a

Read a => Read (NonEmpty a)

Since: base-4.11.0.0

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (NonEmpty a)

readList :: ReadS [NonEmpty a]

readPrec :: ReadPrec (NonEmpty a)

readListPrec :: ReadPrec [NonEmpty a]

Show a => Show (NonEmpty a)

Since: base-4.11.0.0

Defined in GHC.Show

Methods

showsPrec :: Int -> NonEmpty a -> ShowS

show :: NonEmpty a -> String

showList :: [NonEmpty a] -> ShowS

Generic (NonEmpty a)

Since: base-4.6.0.0

Defined in GHC.Generics

Associated Types

type Rep (NonEmpty a) :: Type -> Type

Methods

from :: NonEmpty a -> Rep (NonEmpty a) x

to :: Rep (NonEmpty a) x -> NonEmpty a

Semigroup (NonEmpty a)

Since: base-4.9.0.0

Defined in GHC.Base

Methods

(<>) :: NonEmpty a -> NonEmpty a -> NonEmpty a

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

stimes :: Integral b => b -> NonEmpty a -> NonEmpty a

NFData a => NFData (NonEmpty a)

Since: deepseq-1.4.2.0

Defined in Control.DeepSeq

Methods

rnf :: NonEmpty a -> ()

Hashable a => Hashable (NonEmpty a)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> NonEmpty a -> Int

hash :: NonEmpty a -> Int

Ixed (NonEmpty a)

Defined in Control.Lens.At

Methods

ix :: Index (NonEmpty a) -> Traversal' (NonEmpty a) (IxValue (NonEmpty a))

Wrapped (NonEmpty a)

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (NonEmpty a)

Methods

_Wrapped' :: Iso' (NonEmpty a) (Unwrapped (NonEmpty a))

Container (NonEmpty a)

Defined in Universum.Container.Class

Associated Types

type Element (NonEmpty a)

Methods

toList :: NonEmpty a -> [Element (NonEmpty a)]

null :: NonEmpty a -> Bool

foldr :: (Element (NonEmpty a) -> b -> b) -> b -> NonEmpty a -> b

foldl :: (b -> Element (NonEmpty a) -> b) -> b -> NonEmpty a -> b

foldl' :: (b -> Element (NonEmpty a) -> b) -> b -> NonEmpty a -> b

length :: NonEmpty a -> Int

elem :: Element (NonEmpty a) -> NonEmpty a -> Bool

maximum :: NonEmpty a -> Element (NonEmpty a)

minimum :: NonEmpty a -> Element (NonEmpty a)

foldMap :: Monoid m => (Element (NonEmpty a) -> m) -> NonEmpty a -> m

fold :: NonEmpty a -> Element (NonEmpty a)

foldr' :: (Element (NonEmpty a) -> b -> b) -> b -> NonEmpty a -> b

foldr1 :: (Element (NonEmpty a) -> Element (NonEmpty a) -> Element (NonEmpty a)) -> NonEmpty a -> Element (NonEmpty a)

foldl1 :: (Element (NonEmpty a) -> Element (NonEmpty a) -> Element (NonEmpty a)) -> NonEmpty a -> Element (NonEmpty a)

notElem :: Element (NonEmpty a) -> NonEmpty a -> Bool

all :: (Element (NonEmpty a) -> Bool) -> NonEmpty a -> Bool

any :: (Element (NonEmpty a) -> Bool) -> NonEmpty a -> Bool

and :: NonEmpty a -> Bool

or :: NonEmpty a -> Bool

find :: (Element (NonEmpty a) -> Bool) -> NonEmpty a -> Maybe (Element (NonEmpty a))

safeHead :: NonEmpty a -> Maybe (Element (NonEmpty a))

One (NonEmpty a)

Defined in Universum.Container.Class

Associated Types

type OneItem (NonEmpty a)

Methods

one :: OneItem (NonEmpty a) -> NonEmpty a

Generic1 NonEmpty

Since: base-4.6.0.0

Defined in GHC.Generics

Associated Types

type Rep1 NonEmpty :: k -> Type

Methods

from1 :: forall (a :: k). NonEmpty a -> Rep1 NonEmpty a

to1 :: forall (a :: k). Rep1 NonEmpty a -> NonEmpty a

t ~ NonEmpty b => Rewrapped (NonEmpty a) t

Defined in Control.Lens.Wrapped

Each (NonEmpty a) (NonEmpty b) a b

Defined in Lens.Micro.Internal

Methods

each :: Traversal (NonEmpty a) (NonEmpty b) a b

type Rep (NonEmpty a)

Defined in GHC.Generics

type Rep (NonEmpty a) = D1 ('MetaData "NonEmpty" "GHC.Base" "base" 'False) (C1 ('MetaCons ":|" ('InfixI 'LeftAssociative 9) 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 [a])))

type Item (NonEmpty a)

Defined in GHC.Exts

type Item (NonEmpty a) = a

type Index (NonEmpty a)

Defined in Control.Lens.At

type Index (NonEmpty a) = Int

type IxValue (NonEmpty a)

Defined in Control.Lens.At

type IxValue (NonEmpty a) = a

type Unwrapped (NonEmpty a)

Defined in Control.Lens.Wrapped

type Unwrapped (NonEmpty a) = (a, [a])

type Element (NonEmpty a)

Defined in Universum.Container.Class

type Element (NonEmpty a) = ElementDefault (NonEmpty a)

type OneItem (NonEmpty a)

Defined in Universum.Container.Class

type OneItem (NonEmpty a) = a

type Rep1 NonEmpty

Defined in GHC.Generics

type Rep1 NonEmpty = D1 ('MetaData "NonEmpty" "GHC.Base" "base" 'False) (C1 ('MetaCons ":|" ('InfixI 'LeftAssociative 9) 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1 :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 [])))

type String = [Char]

A String is a list of characters. String constants in Haskell are values of type String.

See Data.List for operations on lists.

getCallStack :: CallStack -> [([Char], SrcLoc)]

Extract a list of call-sites from the CallStack.

The list is ordered by most recent call.

Since: base-4.8.1.0

type HasCallStack = ?callStack :: CallStack

Request a CallStack.

NOTE: The implicit parameter ?callStack :: CallStack is an implementation detail and should not be considered part of the CallStack API, we may decide to change the implementation in the future.

Since: base-4.9.0.0

stimesIdempotentMonoid :: (Integral b, Monoid a) => b -> a -> a

This is a valid definition of stimes for an idempotent Monoid.

When mappend x x = x, this definition should be preferred, because it works in \(\mathcal{O}(1)\) rather than \(\mathcal{O}(\log n)\)

data SomeException

The SomeException type is the root of the exception type hierarchy. When an exception of type e is thrown, behind the scenes it is encapsulated in a SomeException.

Constructors

Exception e => SomeException e

Instances

Show SomeException

Since: base-3.0

Defined in GHC.Exception.Type

Methods

showsPrec :: Int -> SomeException -> ShowS

show :: SomeException -> String

showList :: [SomeException] -> ShowS

Exception SomeException

Since: base-3.0

Defined in GHC.Exception.Type

Methods

toException :: SomeException -> SomeException

fromException :: SomeException -> Maybe SomeException

displayException :: SomeException -> String

not :: Bool -> Bool

Boolean "not"

data ByteString

A space-efficient representation of a Word8 vector, supporting many efficient operations.

A ByteString contains 8-bit bytes, or by using the operations from Data.ByteString.Char8 it can be interpreted as containing 8-bit characters.

Instances

IsList ByteString

Since: bytestring-0.10.12.0

Defined in Data.ByteString.Internal

Associated Types

type Item ByteString

Methods

fromList :: [Item ByteString] -> ByteString

fromListN :: Int -> [Item ByteString] -> ByteString

toList :: ByteString -> [Item ByteString]

Eq ByteString

Defined in Data.ByteString.Internal

Methods

(==) :: ByteString -> ByteString -> Bool

(/=) :: ByteString -> ByteString -> Bool

Data ByteString

Defined in Data.ByteString.Internal

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> ByteString -> c ByteString

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c ByteString

toConstr :: ByteString -> Constr

dataTypeOf :: ByteString -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c ByteString)

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ByteString)

gmapT :: (forall b. Data b => b -> b) -> ByteString -> ByteString

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> ByteString -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> ByteString -> r

gmapQ :: (forall d. Data d => d -> u) -> ByteString -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> ByteString -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> ByteString -> m ByteString

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> ByteString -> m ByteString

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> ByteString -> m ByteString

Ord ByteString

Defined in Data.ByteString.Internal

Methods

compare :: ByteString -> ByteString -> Ordering

(<) :: ByteString -> ByteString -> Bool

(<=) :: ByteString -> ByteString -> Bool

(>) :: ByteString -> ByteString -> Bool

(>=) :: ByteString -> ByteString -> Bool

max :: ByteString -> ByteString -> ByteString

min :: ByteString -> ByteString -> ByteString

Read ByteString

Defined in Data.ByteString.Internal

Methods

readsPrec :: Int -> ReadS ByteString

readList :: ReadS [ByteString]

readPrec :: ReadPrec ByteString

readListPrec :: ReadPrec [ByteString]

Show ByteString

Defined in Data.ByteString.Internal

Methods

showsPrec :: Int -> ByteString -> ShowS

show :: ByteString -> String

showList :: [ByteString] -> ShowS

IsString ByteString

Beware: fromString truncates multi-byte characters to octets. e.g. "枯朶に烏のとまりけり秋の暮" becomes �6k�nh~�Q��n�

Defined in Data.ByteString.Internal

Methods

fromString :: String -> ByteString

Semigroup ByteString

Defined in Data.ByteString.Internal

Methods

(<>) :: ByteString -> ByteString -> ByteString

sconcat :: NonEmpty ByteString -> ByteString

stimes :: Integral b => b -> ByteString -> ByteString

Monoid ByteString

Defined in Data.ByteString.Internal

Methods

mempty :: ByteString

mappend :: ByteString -> ByteString -> ByteString

mconcat :: [ByteString] -> ByteString

NFData ByteString

Defined in Data.ByteString.Internal

Methods

rnf :: ByteString -> ()

Hashable ByteString

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> ByteString -> Int

hash :: ByteString -> Int

Ixed ByteString

Defined in Control.Lens.At

Methods

ix :: Index ByteString -> Traversal' ByteString (IxValue ByteString)

Print ByteString

Defined in Universum.Print.Internal

Methods

hPutStr :: Handle -> ByteString -> IO ()

hPutStrLn :: Handle -> ByteString -> IO ()

Container ByteString

Defined in Universum.Container.Class

Associated Types

type Element ByteString

Methods

toList :: ByteString -> [Element ByteString]

null :: ByteString -> Bool

foldr :: (Element ByteString -> b -> b) -> b -> ByteString -> b

foldl :: (b -> Element ByteString -> b) -> b -> ByteString -> b

foldl' :: (b -> Element ByteString -> b) -> b -> ByteString -> b

length :: ByteString -> Int

elem :: Element ByteString -> ByteString -> Bool

maximum :: ByteString -> Element ByteString

minimum :: ByteString -> Element ByteString

foldMap :: Monoid m => (Element ByteString -> m) -> ByteString -> m

fold :: ByteString -> Element ByteString

foldr' :: (Element ByteString -> b -> b) -> b -> ByteString -> b

foldr1 :: (Element ByteString -> Element ByteString -> Element ByteString) -> ByteString -> Element ByteString

foldl1 :: (Element ByteString -> Element ByteString -> Element ByteString) -> ByteString -> Element ByteString

notElem :: Element ByteString -> ByteString -> Bool

all :: (Element ByteString -> Bool) -> ByteString -> Bool

any :: (Element ByteString -> Bool) -> ByteString -> Bool

and :: ByteString -> Bool

or :: ByteString -> Bool

find :: (Element ByteString -> Bool) -> ByteString -> Maybe (Element ByteString)

safeHead :: ByteString -> Maybe (Element ByteString)

One ByteString

Defined in Universum.Container.Class

Associated Types

type OneItem ByteString

Methods

one :: OneItem ByteString -> ByteString

ConvertUtf8 String ByteString

Defined in Universum.String.Conversion

Methods

encodeUtf8 :: String -> ByteString

decodeUtf8 :: ByteString -> String

decodeUtf8Strict :: ByteString -> Either UnicodeException String

ConvertUtf8 Text ByteString

Defined in Universum.String.Conversion

Methods

encodeUtf8 :: Text -> ByteString

decodeUtf8 :: ByteString -> Text

decodeUtf8Strict :: ByteString -> Either UnicodeException Text

ConvertUtf8 Text ByteString

Defined in Universum.String.Conversion

Methods

encodeUtf8 :: Text -> ByteString

decodeUtf8 :: ByteString -> Text

decodeUtf8Strict :: ByteString -> Either UnicodeException Text

type Item ByteString

Defined in Data.ByteString.Internal

type Item ByteString = Word8

type Index ByteString

Defined in Control.Lens.At

type Index ByteString = Int

type IxValue ByteString

Defined in Control.Lens.At

type IxValue ByteString = Word8

type Element ByteString

Defined in Universum.Container.Class

type Element ByteString = Word8

type OneItem ByteString

Defined in Universum.Container.Class

type OneItem ByteString = Word8

data IdentityT (f :: k -> Type) (a :: k)

The trivial monad transformer, which maps a monad to an equivalent monad.

Instances

MonadReader r m => MonadReader r (IdentityT m)

Defined in Control.Monad.Reader.Class

Methods

ask :: IdentityT m r

local :: (r -> r) -> IdentityT m a -> IdentityT m a

reader :: (r -> a) -> IdentityT m a

MonadState s m => MonadState s (IdentityT m)

Defined in Control.Monad.State.Class

Methods

get :: IdentityT m s

put :: s -> IdentityT m ()

state :: (s -> (a, s)) -> IdentityT m a

MonadError e m => MonadError e (IdentityT m)

Defined in Control.Monad.Error.Class

Methods

throwError :: e -> IdentityT m a

catchError :: IdentityT m a -> (e -> IdentityT m a) -> IdentityT m a

MonadTrans (IdentityT :: (Type -> Type) -> Type -> Type)

Defined in Control.Monad.Trans.Identity

Methods

lift :: Monad m => m a -> IdentityT m a

Monad m => Monad (IdentityT m)

Defined in Control.Monad.Trans.Identity

Methods

(>>=) :: IdentityT m a -> (a -> IdentityT m b) -> IdentityT m b

(>>) :: IdentityT m a -> IdentityT m b -> IdentityT m b

return :: a -> IdentityT m a

Functor m => Functor (IdentityT m)

Defined in Control.Monad.Trans.Identity

Methods

fmap :: (a -> b) -> IdentityT m a -> IdentityT m b

(<$) :: a -> IdentityT m b -> IdentityT m a

MonadFix m => MonadFix (IdentityT m)

Defined in Control.Monad.Trans.Identity

Methods

mfix :: (a -> IdentityT m a) -> IdentityT m a

MonadFail m => MonadFail (IdentityT m)

Defined in Control.Monad.Trans.Identity

Methods

fail :: String -> IdentityT m a

Applicative m => Applicative (IdentityT m)

Defined in Control.Monad.Trans.Identity

Methods

pure :: a -> IdentityT m a

(<*>) :: IdentityT m (a -> b) -> IdentityT m a -> IdentityT m b

liftA2 :: (a -> b -> c) -> IdentityT m a -> IdentityT m b -> IdentityT m c

(*>) :: IdentityT m a -> IdentityT m b -> IdentityT m b

(<*) :: IdentityT m a -> IdentityT m b -> IdentityT m a

Foldable f => Foldable (IdentityT f)

Defined in Control.Monad.Trans.Identity

Methods

fold :: Monoid m => IdentityT f m -> m

foldMap :: Monoid m => (a -> m) -> IdentityT f a -> m

foldMap' :: Monoid m => (a -> m) -> IdentityT f a -> m

foldr :: (a -> b -> b) -> b -> IdentityT f a -> b

foldr' :: (a -> b -> b) -> b -> IdentityT f a -> b

foldl :: (b -> a -> b) -> b -> IdentityT f a -> b

foldl' :: (b -> a -> b) -> b -> IdentityT f a -> b

foldr1 :: (a -> a -> a) -> IdentityT f a -> a

foldl1 :: (a -> a -> a) -> IdentityT f a -> a

toList :: IdentityT f a -> [a]

null :: IdentityT f a -> Bool

length :: IdentityT f a -> Int

elem :: Eq a => a -> IdentityT f a -> Bool

maximum :: Ord a => IdentityT f a -> a

minimum :: Ord a => IdentityT f a -> a

sum :: Num a => IdentityT f a -> a

product :: Num a => IdentityT f a -> a

Traversable f => Traversable (IdentityT f)

Defined in Control.Monad.Trans.Identity

Methods

traverse :: Applicative f0 => (a -> f0 b) -> IdentityT f a -> f0 (IdentityT f b)

sequenceA :: Applicative f0 => IdentityT f (f0 a) -> f0 (IdentityT f a)

mapM :: Monad m => (a -> m b) -> IdentityT f a -> m (IdentityT f b)

sequence :: Monad m => IdentityT f (m a) -> m (IdentityT f a)

Contravariant f => Contravariant (IdentityT f)

Defined in Control.Monad.Trans.Identity

Methods

contramap :: (a -> b) -> IdentityT f b -> IdentityT f a

(>$) :: b -> IdentityT f b -> IdentityT f a

Representable m => Representable (IdentityT m)

Defined in Data.Functor.Rep

Associated Types

type Rep (IdentityT m)

Methods

tabulate :: (Rep (IdentityT m) -> a) -> IdentityT m a

index :: IdentityT m a -> Rep (IdentityT m) -> a

Eq1 f => Eq1 (IdentityT f)

Defined in Control.Monad.Trans.Identity

Methods

liftEq :: (a -> b -> Bool) -> IdentityT f a -> IdentityT f b -> Bool

Ord1 f => Ord1 (IdentityT f)

Defined in Control.Monad.Trans.Identity

Methods

liftCompare :: (a -> b -> Ordering) -> IdentityT f a -> IdentityT f b -> Ordering

Read1 f => Read1 (IdentityT f)

Defined in Control.Monad.Trans.Identity

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (IdentityT f a)

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [IdentityT f a]

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (IdentityT f a)

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [IdentityT f a]

Show1 f => Show1 (IdentityT f)

Defined in Control.Monad.Trans.Identity

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> IdentityT f a -> ShowS

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [IdentityT f a] -> ShowS

MonadZip m => MonadZip (IdentityT m)

Defined in Control.Monad.Trans.Identity

Methods

mzip :: IdentityT m a -> IdentityT m b -> IdentityT m (a, b)

mzipWith :: (a -> b -> c) -> IdentityT m a -> IdentityT m b -> IdentityT m c

munzip :: IdentityT m (a, b) -> (IdentityT m a, IdentityT m b)

MonadIO m => MonadIO (IdentityT m)

Defined in Control.Monad.Trans.Identity

Methods

liftIO :: IO a -> IdentityT m a

Alternative m => Alternative (IdentityT m)

Defined in Control.Monad.Trans.Identity

Methods

empty :: IdentityT m a

(<|>) :: IdentityT m a -> IdentityT m a -> IdentityT m a

some :: IdentityT m a -> IdentityT m [a]

many :: IdentityT m a -> IdentityT m [a]

MonadPlus m => MonadPlus (IdentityT m)

Defined in Control.Monad.Trans.Identity

Methods

mzero :: IdentityT m a

mplus :: IdentityT m a -> IdentityT m a -> IdentityT m a

MonadThrow m => MonadThrow (IdentityT m)

Defined in Control.Monad.Catch

Methods

throwM :: Exception e => e -> IdentityT m a

MonadCatch m => MonadCatch (IdentityT m)

Defined in Control.Monad.Catch

Methods

catch :: Exception e => IdentityT m a -> (e -> IdentityT m a) -> IdentityT m a

MonadMask m => MonadMask (IdentityT m)

Defined in Control.Monad.Catch

Methods

mask :: ((forall a. IdentityT m a -> IdentityT m a) -> IdentityT m b) -> IdentityT m b

uninterruptibleMask :: ((forall a. IdentityT m a -> IdentityT m a) -> IdentityT m b) -> IdentityT m b

generalBracket :: IdentityT m a -> (a -> ExitCase b -> IdentityT m c) -> (a -> IdentityT m b) -> IdentityT m (b, c)

Zoom m n s t => Zoom (IdentityT m) (IdentityT n) s t

Defined in Control.Lens.Zoom

Methods

zoom :: LensLike' (Zoomed (IdentityT m) c) t s -> IdentityT m c -> IdentityT n c

Magnify m n b a => Magnify (IdentityT m) (IdentityT n) b a

Defined in Control.Lens.Zoom

Methods

magnify :: ((Functor (Magnified (IdentityT m) c), Contravariant (Magnified (IdentityT m) c)) => LensLike' (Magnified (IdentityT m) c) a b) -> IdentityT m c -> IdentityT n c

Zoom m n s t => Zoom (IdentityT m) (IdentityT n) s t

Defined in Lens.Micro.Mtl.Internal

Methods

zoom :: LensLike' (Zoomed (IdentityT m) c) t s -> IdentityT m c -> IdentityT n c

Magnify m n b a => Magnify (IdentityT m) (IdentityT n) b a

Defined in Lens.Micro.Mtl.Internal

Methods

magnify :: LensLike' (Magnified (IdentityT m) c) a b -> IdentityT m c -> IdentityT n c

(Eq1 f, Eq a) => Eq (IdentityT f a)

Defined in Control.Monad.Trans.Identity

Methods

(==) :: IdentityT f a -> IdentityT f a -> Bool

(/=) :: IdentityT f a -> IdentityT f a -> Bool

(Ord1 f, Ord a) => Ord (IdentityT f a)

Defined in Control.Monad.Trans.Identity

Methods

compare :: IdentityT f a -> IdentityT f a -> Ordering

(<) :: IdentityT f a -> IdentityT f a -> Bool

(<=) :: IdentityT f a -> IdentityT f a -> Bool

(>) :: IdentityT f a -> IdentityT f a -> Bool

(>=) :: IdentityT f a -> IdentityT f a -> Bool

max :: IdentityT f a -> IdentityT f a -> IdentityT f a

min :: IdentityT f a -> IdentityT f a -> IdentityT f a

(Read1 f, Read a) => Read (IdentityT f a)

Defined in Control.Monad.Trans.Identity

Methods

readsPrec :: Int -> ReadS (IdentityT f a)

readList :: ReadS [IdentityT f a]

readPrec :: ReadPrec (IdentityT f a)

readListPrec :: ReadPrec [IdentityT f a]

(Show1 f, Show a) => Show (IdentityT f a)

Defined in Control.Monad.Trans.Identity

Methods

showsPrec :: Int -> IdentityT f a -> ShowS

show :: IdentityT f a -> String

showList :: [IdentityT f a] -> ShowS

Wrapped (IdentityT m a)

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (IdentityT m a)

Methods

_Wrapped' :: Iso' (IdentityT m a) (Unwrapped (IdentityT m a))

t ~ IdentityT n b => Rewrapped (IdentityT m a) t

Defined in Control.Lens.Wrapped

type Rep (IdentityT m)

Defined in Data.Functor.Rep

type Rep (IdentityT m) = Rep m

type Zoomed (IdentityT m)

Defined in Control.Lens.Zoom

type Zoomed (IdentityT m) = Zoomed m

type Magnified (IdentityT m)

Defined in Control.Lens.Zoom

type Magnified (IdentityT m) = Magnified m

type Zoomed (IdentityT m)

Defined in Lens.Micro.Mtl.Internal

type Zoomed (IdentityT m) = Zoomed m

type Magnified (IdentityT m)

Defined in Lens.Micro.Mtl.Internal

type Magnified (IdentityT m) = Magnified m

type Unwrapped (IdentityT m a)

Defined in Control.Lens.Wrapped

type Unwrapped (IdentityT m a) = m a

data IntMap a

A map of integers to values a.

Instances

Functor IntMap

Defined in Data.IntMap.Internal

Methods

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

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

Foldable IntMap

Folds in order of increasing key.

Defined in Data.IntMap.Internal

Methods

fold :: Monoid m => IntMap m -> m

foldMap :: Monoid m => (a -> m) -> IntMap a -> m

foldMap' :: Monoid m => (a -> m) -> IntMap a -> m

foldr :: (a -> b -> b) -> b -> IntMap a -> b

foldr' :: (a -> b -> b) -> b -> IntMap a -> b

foldl :: (b -> a -> b) -> b -> IntMap a -> b

foldl' :: (b -> a -> b) -> b -> IntMap a -> b

foldr1 :: (a -> a -> a) -> IntMap a -> a

foldl1 :: (a -> a -> a) -> IntMap a -> a

toList :: IntMap a -> [a]

null :: IntMap a -> Bool

length :: IntMap a -> Int

elem :: Eq a => a -> IntMap a -> Bool

maximum :: Ord a => IntMap a -> a

minimum :: Ord a => IntMap a -> a

sum :: Num a => IntMap a -> a

product :: Num a => IntMap a -> a

Traversable IntMap

Traverses in order of increasing key.

Defined in Data.IntMap.Internal

Methods

traverse :: Applicative f => (a -> f b) -> IntMap a -> f (IntMap b)

sequenceA :: Applicative f => IntMap (f a) -> f (IntMap a)

mapM :: Monad m => (a -> m b) -> IntMap a -> m (IntMap b)

sequence :: Monad m => IntMap (m a) -> m (IntMap a)

Eq1 IntMap

Since: containers-0.5.9

Defined in Data.IntMap.Internal

Methods

liftEq :: (a -> b -> Bool) -> IntMap a -> IntMap b -> Bool

Ord1 IntMap

Since: containers-0.5.9

Defined in Data.IntMap.Internal

Methods

liftCompare :: (a -> b -> Ordering) -> IntMap a -> IntMap b -> Ordering

Read1 IntMap

Since: containers-0.5.9

Defined in Data.IntMap.Internal

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (IntMap a)

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [IntMap a]

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (IntMap a)

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [IntMap a]

Show1 IntMap

Since: containers-0.5.9

Defined in Data.IntMap.Internal

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> IntMap a -> ShowS

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [IntMap a] -> ShowS

IsList (IntMap a)

Since: containers-0.5.6.2

Defined in Data.IntMap.Internal

Associated Types

type Item (IntMap a)

Methods

fromList :: [Item (IntMap a)] -> IntMap a

fromListN :: Int -> [Item (IntMap a)] -> IntMap a

toList :: IntMap a -> [Item (IntMap a)]

Eq a => Eq (IntMap a)

Defined in Data.IntMap.Internal

Methods

(==) :: IntMap a -> IntMap a -> Bool

(/=) :: IntMap a -> IntMap a -> Bool

Data a => Data (IntMap a)

Defined in Data.IntMap.Internal

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> IntMap a -> c (IntMap a)

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (IntMap a)

toConstr :: IntMap a -> Constr

dataTypeOf :: IntMap a -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (IntMap a))

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (IntMap a))

gmapT :: (forall b. Data b => b -> b) -> IntMap a -> IntMap a

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> IntMap a -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> IntMap a -> r

gmapQ :: (forall d. Data d => d -> u) -> IntMap a -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> IntMap a -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> IntMap a -> m (IntMap a)

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> IntMap a -> m (IntMap a)

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> IntMap a -> m (IntMap a)

Ord a => Ord (IntMap a)

Defined in Data.IntMap.Internal

Methods

compare :: IntMap a -> IntMap a -> Ordering

(<) :: IntMap a -> IntMap a -> Bool

(<=) :: IntMap a -> IntMap a -> Bool

(>) :: IntMap a -> IntMap a -> Bool

(>=) :: IntMap a -> IntMap a -> Bool

max :: IntMap a -> IntMap a -> IntMap a

min :: IntMap a -> IntMap a -> IntMap a

Read e => Read (IntMap e)

Defined in Data.IntMap.Internal

Methods

readsPrec :: Int -> ReadS (IntMap e)

readList :: ReadS [IntMap e]

readPrec :: ReadPrec (IntMap e)

readListPrec :: ReadPrec [IntMap e]

Show a => Show (IntMap a)

Defined in Data.IntMap.Internal

Methods

showsPrec :: Int -> IntMap a -> ShowS

show :: IntMap a -> String

showList :: [IntMap a] -> ShowS

Semigroup (IntMap a)

Since: containers-0.5.7

Defined in Data.IntMap.Internal

Methods

(<>) :: IntMap a -> IntMap a -> IntMap a

sconcat :: NonEmpty (IntMap a) -> IntMap a

stimes :: Integral b => b -> IntMap a -> IntMap a

Monoid (IntMap a)

Defined in Data.IntMap.Internal

Methods

mempty :: IntMap a

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

mconcat :: [IntMap a] -> IntMap a

NFData a => NFData (IntMap a)

Defined in Data.IntMap.Internal

Methods

rnf :: IntMap a -> ()

Ixed (IntMap a)

Defined in Control.Lens.At

Methods

ix :: Index (IntMap a) -> Traversal' (IntMap a) (IxValue (IntMap a))

At (IntMap a)

Defined in Control.Lens.At

Methods

at :: Index (IntMap a) -> Lens' (IntMap a) (Maybe (IxValue (IntMap a)))

Wrapped (IntMap a)

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (IntMap a)

Methods

_Wrapped' :: Iso' (IntMap a) (Unwrapped (IntMap a))

ToPairs (IntMap v)

Defined in Universum.Container.Class

Associated Types

type Key (IntMap v)

type Val (IntMap v)

Methods

toPairs :: IntMap v -> [(Key (IntMap v), Val (IntMap v))]

keys :: IntMap v -> [Key (IntMap v)]

elems :: IntMap v -> [Val (IntMap v)]

Container (IntMap v)

Defined in Universum.Container.Class

Associated Types

type Element (IntMap v)

Methods

toList :: IntMap v -> [Element (IntMap v)]

null :: IntMap v -> Bool

foldr :: (Element (IntMap v) -> b -> b) -> b -> IntMap v -> b

foldl :: (b -> Element (IntMap v) -> b) -> b -> IntMap v -> b

foldl' :: (b -> Element (IntMap v) -> b) -> b -> IntMap v -> b

length :: IntMap v -> Int

elem :: Element (IntMap v) -> IntMap v -> Bool

maximum :: IntMap v -> Element (IntMap v)

minimum :: IntMap v -> Element (IntMap v)

foldMap :: Monoid m => (Element (IntMap v) -> m) -> IntMap v -> m

fold :: IntMap v -> Element (IntMap v)

foldr' :: (Element (IntMap v) -> b -> b) -> b -> IntMap v -> b

foldr1 :: (Element (IntMap v) -> Element (IntMap v) -> Element (IntMap v)) -> IntMap v -> Element (IntMap v)

foldl1 :: (Element (IntMap v) -> Element (IntMap v) -> Element (IntMap v)) -> IntMap v -> Element (IntMap v)

notElem :: Element (IntMap v) -> IntMap v -> Bool

all :: (Element (IntMap v) -> Bool) -> IntMap v -> Bool

any :: (Element (IntMap v) -> Bool) -> IntMap v -> Bool

and :: IntMap v -> Bool

or :: IntMap v -> Bool

find :: (Element (IntMap v) -> Bool) -> IntMap v -> Maybe (Element (IntMap v))

safeHead :: IntMap v -> Maybe (Element (IntMap v))

One (IntMap v)

Defined in Universum.Container.Class

Associated Types

type OneItem (IntMap v)

Methods

one :: OneItem (IntMap v) -> IntMap v

t ~ IntMap a' => Rewrapped (IntMap a) t

Use wrapping fromList. unwrapping returns a sorted list.

Defined in Control.Lens.Wrapped

type Item (IntMap a)

Defined in Data.IntMap.Internal

type Item (IntMap a) = (Key, a)

type Index (IntMap a)

Defined in Control.Lens.At

type Index (IntMap a) = Int

type IxValue (IntMap a)

Defined in Control.Lens.At

type IxValue (IntMap a) = a

type Unwrapped (IntMap a)

Defined in Control.Lens.Wrapped

type Unwrapped (IntMap a) = [(Int, a)]

type Val (IntMap v)

Defined in Universum.Container.Class

type Val (IntMap v) = v

type Key (IntMap v)

Defined in Universum.Container.Class

type Key (IntMap v) = Int

type Element (IntMap v)

Defined in Universum.Container.Class

type Element (IntMap v) = ElementDefault (IntMap v)

type OneItem (IntMap v)

Defined in Universum.Container.Class

type OneItem (IntMap v) = (Int, v)

data IntSet

A set of integers.

Instances

IsList IntSet

Since: containers-0.5.6.2

Defined in Data.IntSet.Internal

Associated Types

type Item IntSet

Methods

fromList :: [Item IntSet] -> IntSet

fromListN :: Int -> [Item IntSet] -> IntSet

toList :: IntSet -> [Item IntSet]

Eq IntSet

Defined in Data.IntSet.Internal

Methods

(==) :: IntSet -> IntSet -> Bool

(/=) :: IntSet -> IntSet -> Bool

Data IntSet

Defined in Data.IntSet.Internal

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> IntSet -> c IntSet

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c IntSet

toConstr :: IntSet -> Constr

dataTypeOf :: IntSet -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c IntSet)

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c IntSet)

gmapT :: (forall b. Data b => b -> b) -> IntSet -> IntSet

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> IntSet -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> IntSet -> r

gmapQ :: (forall d. Data d => d -> u) -> IntSet -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> IntSet -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> IntSet -> m IntSet

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> IntSet -> m IntSet

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> IntSet -> m IntSet

Ord IntSet

Defined in Data.IntSet.Internal

Methods

compare :: IntSet -> IntSet -> Ordering

(<) :: IntSet -> IntSet -> Bool

(<=) :: IntSet -> IntSet -> Bool

(>) :: IntSet -> IntSet -> Bool

(>=) :: IntSet -> IntSet -> Bool

max :: IntSet -> IntSet -> IntSet

min :: IntSet -> IntSet -> IntSet

Read IntSet

Defined in Data.IntSet.Internal

Methods

readsPrec :: Int -> ReadS IntSet

readList :: ReadS [IntSet]

readPrec :: ReadPrec IntSet

readListPrec :: ReadPrec [IntSet]

Show IntSet

Defined in Data.IntSet.Internal

Methods

showsPrec :: Int -> IntSet -> ShowS

show :: IntSet -> String

showList :: [IntSet] -> ShowS

Semigroup IntSet

Since: containers-0.5.7

Defined in Data.IntSet.Internal

Methods

(<>) :: IntSet -> IntSet -> IntSet

sconcat :: NonEmpty IntSet -> IntSet

stimes :: Integral b => b -> IntSet -> IntSet

Monoid IntSet

Defined in Data.IntSet.Internal

Methods

mempty :: IntSet

mappend :: IntSet -> IntSet -> IntSet

mconcat :: [IntSet] -> IntSet

NFData IntSet

Defined in Data.IntSet.Internal

Methods

rnf :: IntSet -> ()

Contains IntSet

Defined in Control.Lens.At

Methods

contains :: Index IntSet -> Lens' IntSet Bool

Ixed IntSet

Defined in Control.Lens.At

Methods

ix :: Index IntSet -> Traversal' IntSet (IxValue IntSet)

At IntSet

Defined in Control.Lens.At

Methods

at :: Index IntSet -> Lens' IntSet (Maybe (IxValue IntSet))

Wrapped IntSet

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped IntSet

Methods

_Wrapped' :: Iso' IntSet (Unwrapped IntSet)

Container IntSet

Defined in Universum.Container.Class

Associated Types

type Element IntSet

Methods

toList :: IntSet -> [Element IntSet]

null :: IntSet -> Bool

foldr :: (Element IntSet -> b -> b) -> b -> IntSet -> b

foldl :: (b -> Element IntSet -> b) -> b -> IntSet -> b

foldl' :: (b -> Element IntSet -> b) -> b -> IntSet -> b

length :: IntSet -> Int

elem :: Element IntSet -> IntSet -> Bool

maximum :: IntSet -> Element IntSet

minimum :: IntSet -> Element IntSet

foldMap :: Monoid m => (Element IntSet -> m) -> IntSet -> m

fold :: IntSet -> Element IntSet

foldr' :: (Element IntSet -> b -> b) -> b -> IntSet -> b

foldr1 :: (Element IntSet -> Element IntSet -> Element IntSet) -> IntSet -> Element IntSet

foldl1 :: (Element IntSet -> Element IntSet -> Element IntSet) -> IntSet -> Element IntSet

notElem :: Element IntSet -> IntSet -> Bool

all :: (Element IntSet -> Bool) -> IntSet -> Bool

any :: (Element IntSet -> Bool) -> IntSet -> Bool

and :: IntSet -> Bool

or :: IntSet -> Bool

find :: (Element IntSet -> Bool) -> IntSet -> Maybe (Element IntSet)

safeHead :: IntSet -> Maybe (Element IntSet)

One IntSet

Defined in Universum.Container.Class

Associated Types

type OneItem IntSet

Methods

one :: OneItem IntSet -> IntSet

t ~ IntSet => Rewrapped IntSet t

Use wrapping fromList. unwrapping returns a sorted list.

Defined in Control.Lens.Wrapped

type Item IntSet

Defined in Data.IntSet.Internal

type Item IntSet = Key

type Index IntSet

Defined in Control.Lens.At

type Index IntSet = Int

type IxValue IntSet

Defined in Control.Lens.At

type IxValue IntSet = ()

type Unwrapped IntSet

Defined in Control.Lens.Wrapped

type Unwrapped IntSet = [Int]

type Element IntSet

Defined in Universum.Container.Class

type Element IntSet = Int

type OneItem IntSet

Defined in Universum.Container.Class

type OneItem IntSet = Int

data Map k a

A Map from keys k to values a.

The Semigroup operation for Map is union, which prefers values from the left operand. If m1 maps a key k to a value a1, and m2 maps the same key to a different value a2, then their union m1 <> m2 maps k to a1.

Instances

Eq2 Map

Since: containers-0.5.9

Defined in Data.Map.Internal

Methods

liftEq2 :: (a -> b -> Bool) -> (c -> d -> Bool) -> Map a c -> Map b d -> Bool

Ord2 Map

Since: containers-0.5.9

Defined in Data.Map.Internal

Methods

liftCompare2 :: (a -> b -> Ordering) -> (c -> d -> Ordering) -> Map a c -> Map b d -> Ordering

Show2 Map

Since: containers-0.5.9

Defined in Data.Map.Internal

Methods

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

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

Functor (Map k)

Defined in Data.Map.Internal

Methods

fmap :: (a -> b) -> Map k a -> Map k b

(<$) :: a -> Map k b -> Map k a

Foldable (Map k)

Folds in order of increasing key.

Defined in Data.Map.Internal

Methods

fold :: Monoid m => Map k m -> m

foldMap :: Monoid m => (a -> m) -> Map k a -> m

foldMap' :: Monoid m => (a -> m) -> Map k a -> m

foldr :: (a -> b -> b) -> b -> Map k a -> b

foldr' :: (a -> b -> b) -> b -> Map k a -> b

foldl :: (b -> a -> b) -> b -> Map k a -> b

foldl' :: (b -> a -> b) -> b -> Map k a -> b

foldr1 :: (a -> a -> a) -> Map k a -> a

foldl1 :: (a -> a -> a) -> Map k a -> a

toList :: Map k a -> [a]

null :: Map k a -> Bool

length :: Map k a -> Int

elem :: Eq a => a -> Map k a -> Bool

maximum :: Ord a => Map k a -> a

minimum :: Ord a => Map k a -> a

sum :: Num a => Map k a -> a

product :: Num a => Map k a -> a

Traversable (Map k)

Traverses in order of increasing key.

Defined in Data.Map.Internal

Methods

traverse :: Applicative f => (a -> f b) -> Map k a -> f (Map k b)

sequenceA :: Applicative f => Map k (f a) -> f (Map k a)

mapM :: Monad m => (a -> m b) -> Map k a -> m (Map k b)

sequence :: Monad m => Map k (m a) -> m (Map k a)

Eq k => Eq1 (Map k)

Since: containers-0.5.9

Defined in Data.Map.Internal

Methods

liftEq :: (a -> b -> Bool) -> Map k a -> Map k b -> Bool

Ord k => Ord1 (Map k)

Since: containers-0.5.9

Defined in Data.Map.Internal

Methods

liftCompare :: (a -> b -> Ordering) -> Map k a -> Map k b -> Ordering

(Ord k, Read k) => Read1 (Map k)

Since: containers-0.5.9

Defined in Data.Map.Internal

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Map k a)

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Map k a]

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Map k a)

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Map k a]

Show k => Show1 (Map k)

Since: containers-0.5.9

Defined in Data.Map.Internal

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Map k a -> ShowS

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Map k a] -> ShowS

Ord k => IsList (Map k v)

Since: containers-0.5.6.2

Defined in Data.Map.Internal

Associated Types

type Item (Map k v)

Methods

fromList :: [Item (Map k v)] -> Map k v

fromListN :: Int -> [Item (Map k v)] -> Map k v

toList :: Map k v -> [Item (Map k v)]

(Eq k, Eq a) => Eq (Map k a)

Defined in Data.Map.Internal

Methods

(==) :: Map k a -> Map k a -> Bool

(/=) :: Map k a -> Map k a -> Bool

(Data k, Data a, Ord k) => Data (Map k a)

Defined in Data.Map.Internal

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Map k a -> c (Map k a)

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Map k a)

toConstr :: Map k a -> Constr

dataTypeOf :: Map k a -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Map k a))

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Map k a))

gmapT :: (forall b. Data b => b -> b) -> Map k a -> Map k a

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Map k a -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Map k a -> r

gmapQ :: (forall d. Data d => d -> u) -> Map k a -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> Map k a -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Map k a -> m (Map k a)

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Map k a -> m (Map k a)

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Map k a -> m (Map k a)

(Ord k, Ord v) => Ord (Map k v)

Defined in Data.Map.Internal

Methods

compare :: Map k v -> Map k v -> Ordering

(<) :: Map k v -> Map k v -> Bool

(<=) :: Map k v -> Map k v -> Bool

(>) :: Map k v -> Map k v -> Bool

(>=) :: Map k v -> Map k v -> Bool

max :: Map k v -> Map k v -> Map k v

min :: Map k v -> Map k v -> Map k v

(Ord k, Read k, Read e) => Read (Map k e)

Defined in Data.Map.Internal

Methods

readsPrec :: Int -> ReadS (Map k e)

readList :: ReadS [Map k e]

readPrec :: ReadPrec (Map k e)

readListPrec :: ReadPrec [Map k e]

(Show k, Show a) => Show (Map k a)

Defined in Data.Map.Internal

Methods

showsPrec :: Int -> Map k a -> ShowS

show :: Map k a -> String

showList :: [Map k a] -> ShowS

Ord k => Semigroup (Map k v)

Defined in Data.Map.Internal

Methods

(<>) :: Map k v -> Map k v -> Map k v

sconcat :: NonEmpty (Map k v) -> Map k v

stimes :: Integral b => b -> Map k v -> Map k v

Ord k => Monoid (Map k v)

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

(NFData k, NFData a) => NFData (Map k a)

Defined in Data.Map.Internal

Methods

rnf :: Map k a -> ()

Ord k => Ixed (Map k a)

Defined in Control.Lens.At

Methods

ix :: Index (Map k a) -> Traversal' (Map k a) (IxValue (Map k a))

Ord k => At (Map k a)

Defined in Control.Lens.At

Methods

at :: Index (Map k a) -> Lens' (Map k a) (Maybe (IxValue (Map k a)))

Ord k => Wrapped (Map k a)

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Map k a)

Methods

_Wrapped' :: Iso' (Map k a) (Unwrapped (Map k a))

ToPairs (Map k v)

Defined in Universum.Container.Class

Associated Types

type Key (Map k v)

type Val (Map k v)

Methods

toPairs :: Map k v -> [(Key (Map k v), Val (Map k v))]

keys :: Map k v -> [Key (Map k v)]

elems :: Map k v -> [Val (Map k v)]

Container (Map k v)

Defined in Universum.Container.Class

Associated Types

type Element (Map k v)

Methods

toList :: Map k v -> [Element (Map k v)]

null :: Map k v -> Bool

foldr :: (Element (Map k v) -> b -> b) -> b -> Map k v -> b

foldl :: (b -> Element (Map k v) -> b) -> b -> Map k v -> b

foldl' :: (b -> Element (Map k v) -> b) -> b -> Map k v -> b

length :: Map k v -> Int

elem :: Element (Map k v) -> Map k v -> Bool

maximum :: Map k v -> Element (Map k v)

minimum :: Map k v -> Element (Map k v)

foldMap :: Monoid m => (Element (Map k v) -> m) -> Map k v -> m

fold :: Map k v -> Element (Map k v)

foldr' :: (Element (Map k v) -> b -> b) -> b -> Map k v -> b

foldr1 :: (Element (Map k v) -> Element (Map k v) -> Element (Map k v)) -> Map k v -> Element (Map k v)

foldl1 :: (Element (Map k v) -> Element (Map k v) -> Element (Map k v)) -> Map k v -> Element (Map k v)

notElem :: Element (Map k v) -> Map k v -> Bool

all :: (Element (Map k v) -> Bool) -> Map k v -> Bool

any :: (Element (Map k v) -> Bool) -> Map k v -> Bool

and :: Map k v -> Bool

or :: Map k v -> Bool

find :: (Element (Map k v) -> Bool) -> Map k v -> Maybe (Element (Map k v))

safeHead :: Map k v -> Maybe (Element (Map k v))

One (Map k v)

Defined in Universum.Container.Class

Associated Types

type OneItem (Map k v)

Methods

one :: OneItem (Map k v) -> Map k v

(t ~ Map k' a', Ord k) => Rewrapped (Map k a) t

Use wrapping fromList. unwrapping returns a sorted list.

Defined in Control.Lens.Wrapped

type Item (Map k v)

Defined in Data.Map.Internal

type Item (Map k v) = (k, v)

type Index (Map k a)

Defined in Control.Lens.At

type Index (Map k a) = k

type IxValue (Map k a)

Defined in Control.Lens.At

type IxValue (Map k a) = a

type Unwrapped (Map k a)

Defined in Control.Lens.Wrapped

type Unwrapped (Map k a) = [(k, a)]

type Val (Map k v)

Defined in Universum.Container.Class

type Val (Map k v) = v

type Key (Map k v)

Defined in Universum.Container.Class

type Key (Map k v) = k

type Element (Map k v)

Defined in Universum.Container.Class

type Element (Map k v) = ElementDefault (Map k v)

type OneItem (Map k v)

Defined in Universum.Container.Class

type OneItem (Map k v) = (k, v)

data Seq a

General-purpose finite sequences.

Instances

Monad Seq

Defined in Data.Sequence.Internal

Methods

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

(>>) :: Seq a -> Seq b -> Seq b

return :: a -> Seq a

Functor Seq

Defined in Data.Sequence.Internal

Methods

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

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

MonadFix Seq

Since: containers-0.5.11

Defined in Data.Sequence.Internal

Methods

mfix :: (a -> Seq a) -> Seq a

Applicative Seq

Since: containers-0.5.4

Defined in Data.Sequence.Internal

Methods

pure :: a -> Seq a

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

liftA2 :: (a -> b -> c) -> Seq a -> Seq b -> Seq c

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

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

Foldable Seq

Defined in Data.Sequence.Internal

Methods

fold :: Monoid m => Seq m -> m

foldMap :: Monoid m => (a -> m) -> Seq a -> m

foldMap' :: Monoid m => (a -> m) -> Seq a -> m

foldr :: (a -> b -> b) -> b -> Seq a -> b

foldr' :: (a -> b -> b) -> b -> Seq a -> b

foldl :: (b -> a -> b) -> b -> Seq a -> b

foldl' :: (b -> a -> b) -> b -> Seq a -> b

foldr1 :: (a -> a -> a) -> Seq a -> a

foldl1 :: (a -> a -> a) -> Seq a -> a

toList :: Seq a -> [a]

null :: Seq a -> Bool

length :: Seq a -> Int

elem :: Eq a => a -> Seq a -> Bool

maximum :: Ord a => Seq a -> a

minimum :: Ord a => Seq a -> a

sum :: Num a => Seq a -> a

product :: Num a => Seq a -> a

Traversable Seq

Defined in Data.Sequence.Internal

Methods

traverse :: Applicative f => (a -> f b) -> Seq a -> f (Seq b)

sequenceA :: Applicative f => Seq (f a) -> f (Seq a)

mapM :: Monad m => (a -> m b) -> Seq a -> m (Seq b)

sequence :: Monad m => Seq (m a) -> m (Seq a)

Eq1 Seq

Since: containers-0.5.9

Defined in Data.Sequence.Internal

Methods

liftEq :: (a -> b -> Bool) -> Seq a -> Seq b -> Bool

Ord1 Seq

Since: containers-0.5.9

Defined in Data.Sequence.Internal

Methods

liftCompare :: (a -> b -> Ordering) -> Seq a -> Seq b -> Ordering

Read1 Seq

Since: containers-0.5.9

Defined in Data.Sequence.Internal

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Seq a)

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Seq a]

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Seq a)

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Seq a]

Show1 Seq

Since: containers-0.5.9

Defined in Data.Sequence.Internal

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Seq a -> ShowS

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Seq a] -> ShowS

MonadZip Seq

 mzipWith = zipWith

 munzip = unzip

Defined in Data.Sequence.Internal

Methods

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

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

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

Alternative Seq

Since: containers-0.5.4

Defined in Data.Sequence.Internal

Methods

empty :: Seq a

(<|>) :: Seq a -> Seq a -> Seq a

some :: Seq a -> Seq [a]

many :: Seq a -> Seq [a]

MonadPlus Seq

Defined in Data.Sequence.Internal

Methods

mzero :: Seq a

mplus :: Seq a -> Seq a -> Seq a

UnzipWith Seq

Defined in Data.Sequence.Internal

Methods

unzipWith' :: (x -> (a, b)) -> Seq x -> (Seq a, Seq b)

IsList (Seq a)

Defined in Data.Sequence.Internal

Associated Types

type Item (Seq a)

Methods

fromList :: [Item (Seq a)] -> Seq a

fromListN :: Int -> [Item (Seq a)] -> Seq a

toList :: Seq a -> [Item (Seq a)]

Eq a => Eq (Seq a)

Defined in Data.Sequence.Internal

Methods

(==) :: Seq a -> Seq a -> Bool

(/=) :: Seq a -> Seq a -> Bool

Data a => Data (Seq a)

Defined in Data.Sequence.Internal

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Seq a -> c (Seq a)

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Seq a)

toConstr :: Seq a -> Constr

dataTypeOf :: Seq a -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Seq a))

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Seq a))

gmapT :: (forall b. Data b => b -> b) -> Seq a -> Seq a

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Seq a -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Seq a -> r

gmapQ :: (forall d. Data d => d -> u) -> Seq a -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> Seq a -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a)

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a)

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a)

Ord a => Ord (Seq a)

Defined in Data.Sequence.Internal

Methods

compare :: Seq a -> Seq a -> Ordering

(<) :: Seq a -> Seq a -> Bool

(<=) :: Seq a -> Seq a -> Bool

(>) :: Seq a -> Seq a -> Bool

(>=) :: Seq a -> Seq a -> Bool

max :: Seq a -> Seq a -> Seq a

min :: Seq a -> Seq a -> Seq a

Read a => Read (Seq a)

Defined in Data.Sequence.Internal

Methods

readsPrec :: Int -> ReadS (Seq a)

readList :: ReadS [Seq a]

readPrec :: ReadPrec (Seq a)

readListPrec :: ReadPrec [Seq a]

Show a => Show (Seq a)

Defined in Data.Sequence.Internal

Methods

showsPrec :: Int -> Seq a -> ShowS

show :: Seq a -> String

showList :: [Seq a] -> ShowS

a ~ Char => IsString (Seq a)

Since: containers-0.5.7

Defined in Data.Sequence.Internal

Methods

fromString :: String -> Seq a

Semigroup (Seq a)

Since: containers-0.5.7

Defined in Data.Sequence.Internal

Methods

(<>) :: Seq a -> Seq a -> Seq a

sconcat :: NonEmpty (Seq a) -> Seq a

stimes :: Integral b => b -> Seq a -> Seq a

Monoid (Seq a)

Defined in Data.Sequence.Internal

Methods

mempty :: Seq a

mappend :: Seq a -> Seq a -> Seq a

mconcat :: [Seq a] -> Seq a

NFData a => NFData (Seq a)

Defined in Data.Sequence.Internal

Methods

rnf :: Seq a -> ()

Ixed (Seq a)

Defined in Control.Lens.At

Methods

ix :: Index (Seq a) -> Traversal' (Seq a) (IxValue (Seq a))

Wrapped (Seq a)

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Seq a)

Methods

_Wrapped' :: Iso' (Seq a) (Unwrapped (Seq a))

Container (Seq a)

Defined in Universum.Container.Class

Associated Types

type Element (Seq a)

Methods

toList :: Seq a -> [Element (Seq a)]

null :: Seq a -> Bool

foldr :: (Element (Seq a) -> b -> b) -> b -> Seq a -> b

foldl :: (b -> Element (Seq a) -> b) -> b -> Seq a -> b

foldl' :: (b -> Element (Seq a) -> b) -> b -> Seq a -> b

length :: Seq a -> Int

elem :: Element (Seq a) -> Seq a -> Bool

maximum :: Seq a -> Element (Seq a)

minimum :: Seq a -> Element (Seq a)

foldMap :: Monoid m => (Element (Seq a) -> m) -> Seq a -> m

fold :: Seq a -> Element (Seq a)

foldr' :: (Element (Seq a) -> b -> b) -> b -> Seq a -> b

foldr1 :: (Element (Seq a) -> Element (Seq a) -> Element (Seq a)) -> Seq a -> Element (Seq a)

foldl1 :: (Element (Seq a) -> Element (Seq a) -> Element (Seq a)) -> Seq a -> Element (Seq a)

notElem :: Element (Seq a) -> Seq a -> Bool

all :: (Element (Seq a) -> Bool) -> Seq a -> Bool

any :: (Element (Seq a) -> Bool) -> Seq a -> Bool

and :: Seq a -> Bool

or :: Seq a -> Bool

find :: (Element (Seq a) -> Bool) -> Seq a -> Maybe (Element (Seq a))

safeHead :: Seq a -> Maybe (Element (Seq a))

One (Seq a)

Defined in Universum.Container.Class

Associated Types

type OneItem (Seq a)

Methods

one :: OneItem (Seq a) -> Seq a

t ~ Seq a' => Rewrapped (Seq a) t

Defined in Control.Lens.Wrapped

type Item (Seq a)

Defined in Data.Sequence.Internal

type Item (Seq a) = a

type Index (Seq a)

Defined in Control.Lens.At

type Index (Seq a) = Int

type IxValue (Seq a)

Defined in Control.Lens.At

type IxValue (Seq a) = a

type Unwrapped (Seq a)

Defined in Control.Lens.Wrapped

type Unwrapped (Seq a) = [a]

type Element (Seq a)

Defined in Universum.Container.Class

type Element (Seq a) = ElementDefault (Seq a)

type OneItem (Seq a)

Defined in Universum.Container.Class

type OneItem (Seq a) = a

data Set a

A set of values a.

Instances

Foldable Set

Folds in order of increasing key.

Defined in Data.Set.Internal

Methods

fold :: Monoid m => Set m -> m

foldMap :: Monoid m => (a -> m) -> Set a -> m

foldMap' :: Monoid m => (a -> m) -> Set a -> m

foldr :: (a -> b -> b) -> b -> Set a -> b

foldr' :: (a -> b -> b) -> b -> Set a -> b

foldl :: (b -> a -> b) -> b -> Set a -> b

foldl' :: (b -> a -> b) -> b -> Set a -> b

foldr1 :: (a -> a -> a) -> Set a -> a

foldl1 :: (a -> a -> a) -> Set a -> a

toList :: Set a -> [a]

null :: Set a -> Bool

length :: Set a -> Int

elem :: Eq a => a -> Set a -> Bool

maximum :: Ord a => Set a -> a

minimum :: Ord a => Set a -> a

sum :: Num a => Set a -> a

product :: Num a => Set a -> a

Eq1 Set

Since: containers-0.5.9

Defined in Data.Set.Internal

Methods

liftEq :: (a -> b -> Bool) -> Set a -> Set b -> Bool

Ord1 Set

Since: containers-0.5.9

Defined in Data.Set.Internal

Methods

liftCompare :: (a -> b -> Ordering) -> Set a -> Set b -> Ordering

Show1 Set

Since: containers-0.5.9

Defined in Data.Set.Internal

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Set a -> ShowS

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Set a] -> ShowS

Ord a => IsList (Set a)

Since: containers-0.5.6.2

Defined in Data.Set.Internal

Associated Types

type Item (Set a)

Methods

fromList :: [Item (Set a)] -> Set a

fromListN :: Int -> [Item (Set a)] -> Set a

toList :: Set a -> [Item (Set a)]

Eq a => Eq (Set a)

Defined in Data.Set.Internal

Methods

(==) :: Set a -> Set a -> Bool

(/=) :: Set a -> Set a -> Bool

(Data a, Ord a) => Data (Set a)

Defined in Data.Set.Internal

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Set a -> c (Set a)

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Set a)

toConstr :: Set a -> Constr

dataTypeOf :: Set a -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Set a))

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Set a))

gmapT :: (forall b. Data b => b -> b) -> Set a -> Set a

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Set a -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Set a -> r

gmapQ :: (forall d. Data d => d -> u) -> Set a -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> Set a -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Set a -> m (Set a)

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Set a -> m (Set a)

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Set a -> m (Set a)

Ord a => Ord (Set a)

Defined in Data.Set.Internal

Methods

compare :: Set a -> Set a -> Ordering

(<) :: Set a -> Set a -> Bool

(<=) :: Set a -> Set a -> Bool

(>) :: Set a -> Set a -> Bool

(>=) :: Set a -> Set a -> Bool

max :: Set a -> Set a -> Set a

min :: Set a -> Set a -> Set a

(Read a, Ord a) => Read (Set a)

Defined in Data.Set.Internal

Methods

readsPrec :: Int -> ReadS (Set a)

readList :: ReadS [Set a]

readPrec :: ReadPrec (Set a)

readListPrec :: ReadPrec [Set a]

Show a => Show (Set a)

Defined in Data.Set.Internal

Methods

showsPrec :: Int -> Set a -> ShowS

show :: Set a -> String

showList :: [Set a] -> ShowS

Ord a => Semigroup (Set a)

Since: containers-0.5.7

Defined in Data.Set.Internal

Methods

(<>) :: Set a -> Set a -> Set a

sconcat :: NonEmpty (Set a) -> Set a

stimes :: Integral b => b -> Set a -> Set a

Ord a => Monoid (Set a)

Defined in Data.Set.Internal

Methods

mempty :: Set a

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

mconcat :: [Set a] -> Set a

NFData a => NFData (Set a)

Defined in Data.Set.Internal

Methods

rnf :: Set a -> ()

Ord a => Contains (Set a)

Defined in Control.Lens.At

Methods

contains :: Index (Set a) -> Lens' (Set a) Bool

Ord k => Ixed (Set k)

Defined in Control.Lens.At

Methods

ix :: Index (Set k) -> Traversal' (Set k) (IxValue (Set k))

Ord k => At (Set k)

Defined in Control.Lens.At

Methods

at :: Index (Set k) -> Lens' (Set k) (Maybe (IxValue (Set k)))

Ord a => Wrapped (Set a)

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Set a)

Methods

_Wrapped' :: Iso' (Set a) (Unwrapped (Set a))

Ord v => Container (Set v)

Defined in Universum.Container.Class

Associated Types

type Element (Set v)

Methods

toList :: Set v -> [Element (Set v)]

null :: Set v -> Bool

foldr :: (Element (Set v) -> b -> b) -> b -> Set v -> b

foldl :: (b -> Element (Set v) -> b) -> b -> Set v -> b

foldl' :: (b -> Element (Set v) -> b) -> b -> Set v -> b

length :: Set v -> Int

elem :: Element (Set v) -> Set v -> Bool

maximum :: Set v -> Element (Set v)

minimum :: Set v -> Element (Set v)

foldMap :: Monoid m => (Element (Set v) -> m) -> Set v -> m

fold :: Set v -> Element (Set v)

foldr' :: (Element (Set v) -> b -> b) -> b -> Set v -> b

foldr1 :: (Element (Set v) -> Element (Set v) -> Element (Set v)) -> Set v -> Element (Set v)

foldl1 :: (Element (Set v) -> Element (Set v) -> Element (Set v)) -> Set v -> Element (Set v)

notElem :: Element (Set v) -> Set v -> Bool

all :: (Element (Set v) -> Bool) -> Set v -> Bool

any :: (Element (Set v) -> Bool) -> Set v -> Bool

and :: Set v -> Bool

or :: Set v -> Bool

find :: (Element (Set v) -> Bool) -> Set v -> Maybe (Element (Set v))

safeHead :: Set v -> Maybe (Element (Set v))

One (Set v)

Defined in Universum.Container.Class

Associated Types

type OneItem (Set v)

Methods

one :: OneItem (Set v) -> Set v

(t ~ Set a', Ord a) => Rewrapped (Set a) t

Use wrapping fromList. unwrapping returns a sorted list.

Defined in Control.Lens.Wrapped

type Item (Set a)

Defined in Data.Set.Internal

type Item (Set a) = a

type Index (Set a)

Defined in Control.Lens.At

type Index (Set a) = a

type IxValue (Set k)

Defined in Control.Lens.At

type IxValue (Set k) = ()

type Unwrapped (Set a)

Defined in Control.Lens.Wrapped

type Unwrapped (Set a) = [a]

type Element (Set v)

Defined in Universum.Container.Class

type Element (Set v) = ElementDefault (Set v)

type OneItem (Set v)

Defined in Universum.Container.Class

type OneItem (Set v) = v

force :: NFData a => a -> a

a variant of deepseq that is useful in some circumstances:

force x = x `deepseq` x

force x fully evaluates x, and then returns it. Note that force x only performs evaluation when the value of force x itself is demanded, so essentially it turns shallow evaluation into deep evaluation.

force can be conveniently used in combination with ViewPatterns:

{-# LANGUAGE BangPatterns, ViewPatterns #-}
import Control.DeepSeq

someFun :: ComplexData -> SomeResult
someFun (force -> !arg) = {- 'arg' will be fully evaluated -}

Another useful application is to combine force with evaluate in order to force deep evaluation relative to other IO operations:

import Control.Exception (evaluate)
import Control.DeepSeq

main = do
  result <- evaluate $ force $ pureComputation
  {- 'result' will be fully evaluated at this point -}
  return ()

Finally, here's an exception safe variant of the readFile' example:

readFile' :: FilePath -> IO String
readFile' fn = bracket (openFile fn ReadMode) hClose $ \h ->
                       evaluate . force =<< hGetContents h

Since: deepseq-1.2.0.0

($!!) :: NFData a => (a -> b) -> a -> b infixr 0

the deep analogue of $!. In the expression f $!! x, x is fully evaluated before the function f is applied to it.

Since: deepseq-1.2.0.0

deepseq :: NFData a => a -> b -> b

deepseq: fully evaluates the first argument, before returning the second.

The name deepseq is used to illustrate the relationship to seq: where seq is shallow in the sense that it only evaluates the top level of its argument, deepseq traverses the entire data structure evaluating it completely.

deepseq can be useful for forcing pending exceptions, eradicating space leaks, or forcing lazy I/O to happen. It is also useful in conjunction with parallel Strategies (see the parallel package).

There is no guarantee about the ordering of evaluation. The implementation may evaluate the components of the structure in any order or in parallel. To impose an actual order on evaluation, use pseq from Control.Parallel in the parallel package.

Since: deepseq-1.1.0.0

class NFData a where

A class of types that can be fully evaluated.

Since: deepseq-1.1.0.0

Minimal complete definition

Nothing

Methods

rnf :: a -> ()

rnf should reduce its argument to normal form (that is, fully evaluate all sub-components), and then return ().

Generic NFData deriving

Starting with GHC 7.2, you can automatically derive instances for types possessing a Generic instance.

Note: Generic1 can be auto-derived starting with GHC 7.4

{-# LANGUAGE DeriveGeneric #-}

import GHC.Generics (Generic, Generic1)
import Control.DeepSeq

data Foo a = Foo a String
             deriving (Eq, Generic, Generic1)

instance NFData a => NFData (Foo a)
instance NFData1 Foo

data Colour = Red | Green | Blue
              deriving Generic

instance NFData Colour

Starting with GHC 7.10, the example above can be written more concisely by enabling the new DeriveAnyClass extension:

{-# LANGUAGE DeriveGeneric, DeriveAnyClass #-}

import GHC.Generics (Generic)
import Control.DeepSeq

data Foo a = Foo a String
             deriving (Eq, Generic, Generic1, NFData, NFData1)

data Colour = Red | Green | Blue
              deriving (Generic, NFData)

Compatibility with previous deepseq versions

Prior to version 1.4.0.0, the default implementation of the rnf method was defined as

rnf a = seq a ()

However, starting with deepseq-1.4.0.0, the default implementation is based on DefaultSignatures allowing for more accurate auto-derived NFData instances. If you need the previously used exact default rnf method implementation semantics, use

instance NFData Colour where rnf x = seq x ()

or alternatively

instance NFData Colour where rnf = rwhnf

or

{-# LANGUAGE BangPatterns #-}
instance NFData Colour where rnf !_ = ()

Instances

NFData Bool

Defined in Control.DeepSeq

Methods

rnf :: Bool -> ()

NFData Char

Defined in Control.DeepSeq

Methods

rnf :: Char -> ()

NFData Double

Defined in Control.DeepSeq

Methods

rnf :: Double -> ()

NFData Float

Defined in Control.DeepSeq

Methods

rnf :: Float -> ()

NFData Int

Defined in Control.DeepSeq

Methods

rnf :: Int -> ()

NFData Int8

Defined in Control.DeepSeq

Methods

rnf :: Int8 -> ()

NFData Int16

Defined in Control.DeepSeq

Methods

rnf :: Int16 -> ()

NFData Int32

Defined in Control.DeepSeq

Methods

rnf :: Int32 -> ()

NFData Int64

Defined in Control.DeepSeq

Methods

rnf :: Int64 -> ()

NFData Integer

Defined in Control.DeepSeq

Methods

rnf :: Integer -> ()

NFData Natural

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: Natural -> ()

NFData Ordering

Defined in Control.DeepSeq

Methods

rnf :: Ordering -> ()

NFData Word

Defined in Control.DeepSeq

Methods

rnf :: Word -> ()

NFData Word8

Defined in Control.DeepSeq

Methods

rnf :: Word8 -> ()

NFData Word16

Defined in Control.DeepSeq

Methods

rnf :: Word16 -> ()

NFData Word32

Defined in Control.DeepSeq

Methods

rnf :: Word32 -> ()

NFData Word64

Defined in Control.DeepSeq

Methods

rnf :: Word64 -> ()

NFData CallStack

Since: deepseq-1.4.2.0

Defined in Control.DeepSeq

Methods

rnf :: CallStack -> ()

NFData ()

Defined in Control.DeepSeq

Methods

rnf :: () -> ()

NFData TyCon

NOTE: Prior to deepseq-1.4.4.0 this instance was only defined for base-4.8.0.0 and later.

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: TyCon -> ()

NFData Void

Defined as rnf = absurd.

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: Void -> ()

NFData Unique

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: Unique -> ()

NFData Version

Since: deepseq-1.3.0.0

Defined in Control.DeepSeq

Methods

rnf :: Version -> ()

NFData ThreadId

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: ThreadId -> ()

NFData ExitCode

Since: deepseq-1.4.2.0

Defined in Control.DeepSeq

Methods

rnf :: ExitCode -> ()

NFData MaskingState

Since: deepseq-1.4.4.0

Defined in Control.DeepSeq

Methods

rnf :: MaskingState -> ()

NFData TypeRep

NOTE: Prior to deepseq-1.4.4.0 this instance was only defined for base-4.8.0.0 and later.

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: TypeRep -> ()

NFData All

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: All -> ()

NFData Any

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: Any -> ()

NFData CChar

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: CChar -> ()

NFData CSChar

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: CSChar -> ()

NFData CUChar

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: CUChar -> ()

NFData CShort

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: CShort -> ()

NFData CUShort

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: CUShort -> ()

NFData CInt

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: CInt -> ()

NFData CUInt

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: CUInt -> ()

NFData CLong

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: CLong -> ()

NFData CULong

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: CULong -> ()

NFData CLLong

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: CLLong -> ()

NFData CULLong

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: CULLong -> ()

NFData CBool

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

rnf :: CBool -> ()

NFData CFloat

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: CFloat -> ()

NFData CDouble

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: CDouble -> ()

NFData CPtrdiff

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: CPtrdiff -> ()

NFData CSize

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: CSize -> ()

NFData CWchar

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: CWchar -> ()

NFData CSigAtomic

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: CSigAtomic -> ()

NFData CClock

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: CClock -> ()

NFData CTime

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: CTime -> ()

NFData CUSeconds

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: CUSeconds -> ()

NFData CSUSeconds

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: CSUSeconds -> ()

NFData CFile

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: CFile -> ()

NFData CFpos

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: CFpos -> ()

NFData CJmpBuf

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: CJmpBuf -> ()

NFData CIntPtr

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: CIntPtr -> ()

NFData CUIntPtr

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: CUIntPtr -> ()

NFData CIntMax

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: CIntMax -> ()

NFData CUIntMax

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: CUIntMax -> ()

NFData Fingerprint

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: Fingerprint -> ()

NFData SrcLoc

Since: deepseq-1.4.2.0

Defined in Control.DeepSeq

Methods

rnf :: SrcLoc -> ()

NFData ByteString

Defined in Data.ByteString.Internal

Methods

rnf :: ByteString -> ()

NFData IntSet

Defined in Data.IntSet.Internal

Methods

rnf :: IntSet -> ()

NFData Doc

Defined in Text.PrettyPrint.HughesPJ

Methods

rnf :: Doc -> ()

NFData TextDetails

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

rnf :: TextDetails -> ()

NFData UnicodeException

Defined in Data.Text.Encoding.Error

Methods

rnf :: UnicodeException -> ()

NFData a => NFData [a]

Defined in Control.DeepSeq

Methods

rnf :: [a] -> ()

NFData a => NFData (Maybe a)

Defined in Control.DeepSeq

Methods

rnf :: Maybe a -> ()

NFData a => NFData (Ratio a)

Defined in Control.DeepSeq

Methods

rnf :: Ratio a -> ()

NFData (Ptr a)

Since: deepseq-1.4.2.0

Defined in Control.DeepSeq

Methods

rnf :: Ptr a -> ()

NFData (FunPtr a)

Since: deepseq-1.4.2.0

Defined in Control.DeepSeq

Methods

rnf :: FunPtr a -> ()

NFData a => NFData (Complex a)

Defined in Control.DeepSeq

Methods

rnf :: Complex a -> ()

NFData a => NFData (Min a)

Since: deepseq-1.4.2.0

Defined in Control.DeepSeq

Methods

rnf :: Min a -> ()

NFData a => NFData (Max a)

Since: deepseq-1.4.2.0

Defined in Control.DeepSeq

Methods

rnf :: Max a -> ()

NFData a => NFData (First a)

Since: deepseq-1.4.2.0

Defined in Control.DeepSeq

Methods

rnf :: First a -> ()

NFData a => NFData (Last a)

Since: deepseq-1.4.2.0

Defined in Control.DeepSeq

Methods

rnf :: Last a -> ()

NFData m => NFData (WrappedMonoid m)

Since: deepseq-1.4.2.0

Defined in Control.DeepSeq

Methods

rnf :: WrappedMonoid m -> ()

NFData a => NFData (Option a)

Since: deepseq-1.4.2.0

Defined in Control.DeepSeq

Methods

rnf :: Option a -> ()

NFData (StableName a)

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: StableName a -> ()

NFData a => NFData (ZipList a)

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: ZipList a -> ()

NFData a => NFData (Identity a)

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: Identity a -> ()

NFData (IORef a)

NOTE: Only strict in the reference and not the referenced value.

Since: deepseq-1.4.2.0

Defined in Control.DeepSeq

Methods

rnf :: IORef a -> ()

NFData a => NFData (First a)

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: First a -> ()

NFData a => NFData (Last a)

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: Last a -> ()

NFData a => NFData (Dual a)

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: Dual a -> ()

NFData a => NFData (Sum a)

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: Sum a -> ()

NFData a => NFData (Product a)

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: Product a -> ()

NFData a => NFData (Down a)

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: Down a -> ()

NFData (MVar a)

NOTE: Only strict in the reference and not the referenced value.

Since: deepseq-1.4.2.0

Defined in Control.DeepSeq

Methods

rnf :: MVar a -> ()

NFData a => NFData (NonEmpty a)

Since: deepseq-1.4.2.0

Defined in Control.DeepSeq

Methods

rnf :: NonEmpty a -> ()

NFData a => NFData (IntMap a)

Defined in Data.IntMap.Internal

Methods

rnf :: IntMap a -> ()

NFData a => NFData (Seq a)

Defined in Data.Sequence.Internal

Methods

rnf :: Seq a -> ()

NFData a => NFData (FingerTree a)

Defined in Data.Sequence.Internal

Methods

rnf :: FingerTree a -> ()

NFData a => NFData (Digit a)

Defined in Data.Sequence.Internal

Methods

rnf :: Digit a -> ()

NFData a => NFData (Node a)

Defined in Data.Sequence.Internal

Methods

rnf :: Node a -> ()

NFData a => NFData (Elem a)

Defined in Data.Sequence.Internal

Methods

rnf :: Elem a -> ()

NFData a => NFData (Set a)

Defined in Data.Set.Internal

Methods

rnf :: Set a -> ()

NFData a => NFData (Hashed a)

Defined in Data.Hashable.Class

Methods

rnf :: Hashed a -> ()

NFData a => NFData (HashSet a)

Defined in Data.HashSet.Internal

Methods

rnf :: HashSet a -> ()

NFData a => NFData (Vector a)

Defined in Data.Vector

Methods

rnf :: Vector a -> ()

NFData a => NFData (Doc a)

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

rnf :: Doc a -> ()

NFData a => NFData (AnnotDetails a)

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

rnf :: AnnotDetails a -> ()

NFData (a -> b)

This instance is for convenience and consistency with seq. This assumes that WHNF is equivalent to NF for functions.

Since: deepseq-1.3.0.0

Defined in Control.DeepSeq

Methods

rnf :: (a -> b) -> ()

(NFData a, NFData b) => NFData (Either a b)

Defined in Control.DeepSeq

Methods

rnf :: Either a b -> ()

(NFData a, NFData b) => NFData (a, b)

Defined in Control.DeepSeq

Methods

rnf :: (a, b) -> ()

(NFData a, NFData b) => NFData (Array a b)

Defined in Control.DeepSeq

Methods

rnf :: Array a b -> ()

NFData (Fixed a)

Since: deepseq-1.3.0.0

Defined in Control.DeepSeq

Methods

rnf :: Fixed a -> ()

(NFData a, NFData b) => NFData (Arg a b)

Since: deepseq-1.4.2.0

Defined in Control.DeepSeq

Methods

rnf :: Arg a b -> ()

NFData (Proxy a)

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: Proxy a -> ()

NFData (STRef s a)

NOTE: Only strict in the reference and not the referenced value.

Since: deepseq-1.4.2.0

Defined in Control.DeepSeq

Methods

rnf :: STRef s a -> ()

(NFData k, NFData a) => NFData (Map k a)

Defined in Data.Map.Internal

Methods

rnf :: Map k a -> ()

(NFData k, NFData v) => NFData (HashMap k v)

Defined in Data.HashMap.Internal

Methods

rnf :: HashMap k v -> ()

(NFData k, NFData v) => NFData (Leaf k v)

Defined in Data.HashMap.Internal

Methods

rnf :: Leaf k v -> ()

(NFData a1, NFData a2, NFData a3) => NFData (a1, a2, a3)

Defined in Control.DeepSeq

Methods

rnf :: (a1, a2, a3) -> ()

NFData a => NFData (Const a b)

Since: deepseq-1.4.0.0

Defined in Control.DeepSeq

Methods

rnf :: Const a b -> ()

NFData (a :~: b)

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

rnf :: (a :~: b) -> ()

NFData b => NFData (Tagged s b)

Defined in Data.Tagged

Methods

rnf :: Tagged s b -> ()

(NFData a1, NFData a2, NFData a3, NFData a4) => NFData (a1, a2, a3, a4)

Defined in Control.DeepSeq

Methods

rnf :: (a1, a2, a3, a4) -> ()

(NFData1 f, NFData1 g, NFData a) => NFData (Product f g a)

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

rnf :: Product f g a -> ()

(NFData1 f, NFData1 g, NFData a) => NFData (Sum f g a)

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

rnf :: Sum f g a -> ()

NFData (a :~~: b)

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

rnf :: (a :~~: b) -> ()

(NFData a1, NFData a2, NFData a3, NFData a4, NFData a5) => NFData (a1, a2, a3, a4, a5)

Defined in Control.DeepSeq

Methods

rnf :: (a1, a2, a3, a4, a5) -> ()

(NFData1 f, NFData1 g, NFData a) => NFData (Compose f g a)

Since: deepseq-1.4.3.0

Defined in Control.DeepSeq

Methods

rnf :: Compose f g a -> ()

(NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6) => NFData (a1, a2, a3, a4, a5, a6)

Defined in Control.DeepSeq

Methods

rnf :: (a1, a2, a3, a4, a5, a6) -> ()

(NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6, NFData a7) => NFData (a1, a2, a3, a4, a5, a6, a7)

Defined in Control.DeepSeq

Methods

rnf :: (a1, a2, a3, a4, a5, a6, a7) -> ()

(NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6, NFData a7, NFData a8) => NFData (a1, a2, a3, a4, a5, a6, a7, a8)

Defined in Control.DeepSeq

Methods

rnf :: (a1, a2, a3, a4, a5, a6, a7, a8) -> ()

(NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6, NFData a7, NFData a8, NFData a9) => NFData (a1, a2, a3, a4, a5, a6, a7, a8, a9)

Defined in Control.DeepSeq

Methods

rnf :: (a1, a2, a3, a4, a5, a6, a7, a8, a9) -> ()

newtype MaybeT (m :: Type -> Type) a

The parameterizable maybe monad, obtained by composing an arbitrary monad with the Maybe monad.

Computations are actions that may produce a value or exit.

The return function yields a computation that produces that value, while >>= sequences two subcomputations, exiting if either computation does.

Constructors

MaybeT

Fields

• runMaybeT :: m (Maybe a)

Instances

MonadTrans MaybeT

Defined in Control.Monad.Trans.Maybe

Methods

lift :: Monad m => m a -> MaybeT m a

MonadReader r m => MonadReader r (MaybeT m)

Defined in Control.Monad.Reader.Class

Methods

ask :: MaybeT m r

local :: (r -> r) -> MaybeT m a -> MaybeT m a

reader :: (r -> a) -> MaybeT m a

MonadState s m => MonadState s (MaybeT m)

Defined in Control.Monad.State.Class

Methods

get :: MaybeT m s

put :: s -> MaybeT m ()

state :: (s -> (a, s)) -> MaybeT m a

MonadError e m => MonadError e (MaybeT m)

Defined in Control.Monad.Error.Class

Methods

throwError :: e -> MaybeT m a

catchError :: MaybeT m a -> (e -> MaybeT m a) -> MaybeT m a

Monad m => Monad (MaybeT m)

Defined in Control.Monad.Trans.Maybe

Methods

(>>=) :: MaybeT m a -> (a -> MaybeT m b) -> MaybeT m b

(>>) :: MaybeT m a -> MaybeT m b -> MaybeT m b

return :: a -> MaybeT m a

Functor m => Functor (MaybeT m)

Defined in Control.Monad.Trans.Maybe

Methods

fmap :: (a -> b) -> MaybeT m a -> MaybeT m b

(<$) :: a -> MaybeT m b -> MaybeT m a

MonadFix m => MonadFix (MaybeT m)

Defined in Control.Monad.Trans.Maybe

Methods

mfix :: (a -> MaybeT m a) -> MaybeT m a

Monad m => MonadFail (MaybeT m)

Defined in Control.Monad.Trans.Maybe

Methods

fail :: String -> MaybeT m a

(Functor m, Monad m) => Applicative (MaybeT m)

Defined in Control.Monad.Trans.Maybe

Methods

pure :: a -> MaybeT m a

(<*>) :: MaybeT m (a -> b) -> MaybeT m a -> MaybeT m b

liftA2 :: (a -> b -> c) -> MaybeT m a -> MaybeT m b -> MaybeT m c

(*>) :: MaybeT m a -> MaybeT m b -> MaybeT m b

(<*) :: MaybeT m a -> MaybeT m b -> MaybeT m a

Foldable f => Foldable (MaybeT f)

Defined in Control.Monad.Trans.Maybe

Methods

fold :: Monoid m => MaybeT f m -> m

foldMap :: Monoid m => (a -> m) -> MaybeT f a -> m

foldMap' :: Monoid m => (a -> m) -> MaybeT f a -> m

foldr :: (a -> b -> b) -> b -> MaybeT f a -> b

foldr' :: (a -> b -> b) -> b -> MaybeT f a -> b

foldl :: (b -> a -> b) -> b -> MaybeT f a -> b

foldl' :: (b -> a -> b) -> b -> MaybeT f a -> b

foldr1 :: (a -> a -> a) -> MaybeT f a -> a

foldl1 :: (a -> a -> a) -> MaybeT f a -> a

toList :: MaybeT f a -> [a]

null :: MaybeT f a -> Bool

length :: MaybeT f a -> Int

elem :: Eq a => a -> MaybeT f a -> Bool

maximum :: Ord a => MaybeT f a -> a

minimum :: Ord a => MaybeT f a -> a

sum :: Num a => MaybeT f a -> a

product :: Num a => MaybeT f a -> a

Traversable f => Traversable (MaybeT f)

Defined in Control.Monad.Trans.Maybe

Methods

traverse :: Applicative f0 => (a -> f0 b) -> MaybeT f a -> f0 (MaybeT f b)

sequenceA :: Applicative f0 => MaybeT f (f0 a) -> f0 (MaybeT f a)

mapM :: Monad m => (a -> m b) -> MaybeT f a -> m (MaybeT f b)

sequence :: Monad m => MaybeT f (m a) -> m (MaybeT f a)

Contravariant m => Contravariant (MaybeT m)

Defined in Control.Monad.Trans.Maybe

Methods

contramap :: (a -> b) -> MaybeT m b -> MaybeT m a

(>$) :: b -> MaybeT m b -> MaybeT m a

Eq1 m => Eq1 (MaybeT m)

Defined in Control.Monad.Trans.Maybe

Methods

liftEq :: (a -> b -> Bool) -> MaybeT m a -> MaybeT m b -> Bool

Ord1 m => Ord1 (MaybeT m)

Defined in Control.Monad.Trans.Maybe

Methods

liftCompare :: (a -> b -> Ordering) -> MaybeT m a -> MaybeT m b -> Ordering

Read1 m => Read1 (MaybeT m)

Defined in Control.Monad.Trans.Maybe

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (MaybeT m a)

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [MaybeT m a]

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (MaybeT m a)

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [MaybeT m a]

Show1 m => Show1 (MaybeT m)

Defined in Control.Monad.Trans.Maybe

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> MaybeT m a -> ShowS

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [MaybeT m a] -> ShowS

MonadZip m => MonadZip (MaybeT m)

Defined in Control.Monad.Trans.Maybe

Methods

mzip :: MaybeT m a -> MaybeT m b -> MaybeT m (a, b)

mzipWith :: (a -> b -> c) -> MaybeT m a -> MaybeT m b -> MaybeT m c

munzip :: MaybeT m (a, b) -> (MaybeT m a, MaybeT m b)

MonadIO m => MonadIO (MaybeT m)

Defined in Control.Monad.Trans.Maybe

Methods

liftIO :: IO a -> MaybeT m a

(Functor m, Monad m) => Alternative (MaybeT m)

Defined in Control.Monad.Trans.Maybe

Methods

empty :: MaybeT m a

(<|>) :: MaybeT m a -> MaybeT m a -> MaybeT m a

some :: MaybeT m a -> MaybeT m [a]

many :: MaybeT m a -> MaybeT m [a]

Monad m => MonadPlus (MaybeT m)

Defined in Control.Monad.Trans.Maybe

Methods

mzero :: MaybeT m a

mplus :: MaybeT m a -> MaybeT m a -> MaybeT m a

MonadThrow m => MonadThrow (MaybeT m)

Throws exceptions into the base monad.

Defined in Control.Monad.Catch

Methods

throwM :: Exception e => e -> MaybeT m a

MonadCatch m => MonadCatch (MaybeT m)

Catches exceptions from the base monad.

Defined in Control.Monad.Catch

Methods

catch :: Exception e => MaybeT m a -> (e -> MaybeT m a) -> MaybeT m a

MonadMask m => MonadMask (MaybeT m)

Since: exceptions-0.10.0

Defined in Control.Monad.Catch

Methods

mask :: ((forall a. MaybeT m a -> MaybeT m a) -> MaybeT m b) -> MaybeT m b

uninterruptibleMask :: ((forall a. MaybeT m a -> MaybeT m a) -> MaybeT m b) -> MaybeT m b

generalBracket :: MaybeT m a -> (a -> ExitCase b -> MaybeT m c) -> (a -> MaybeT m b) -> MaybeT m (b, c)

Zoom m n s t => Zoom (MaybeT m) (MaybeT n) s t

Defined in Control.Lens.Zoom

Methods

zoom :: LensLike' (Zoomed (MaybeT m) c) t s -> MaybeT m c -> MaybeT n c

Zoom m n s t => Zoom (MaybeT m) (MaybeT n) s t

Defined in Lens.Micro.Mtl.Internal

Methods

zoom :: LensLike' (Zoomed (MaybeT m) c) t s -> MaybeT m c -> MaybeT n c

(Eq1 m, Eq a) => Eq (MaybeT m a)

Defined in Control.Monad.Trans.Maybe

Methods

(==) :: MaybeT m a -> MaybeT m a -> Bool

(/=) :: MaybeT m a -> MaybeT m a -> Bool

(Ord1 m, Ord a) => Ord (MaybeT m a)

Defined in Control.Monad.Trans.Maybe

Methods

compare :: MaybeT m a -> MaybeT m a -> Ordering

(<) :: MaybeT m a -> MaybeT m a -> Bool

(<=) :: MaybeT m a -> MaybeT m a -> Bool

(>) :: MaybeT m a -> MaybeT m a -> Bool

(>=) :: MaybeT m a -> MaybeT m a -> Bool

max :: MaybeT m a -> MaybeT m a -> MaybeT m a

min :: MaybeT m a -> MaybeT m a -> MaybeT m a

(Read1 m, Read a) => Read (MaybeT m a)

Defined in Control.Monad.Trans.Maybe

Methods

readsPrec :: Int -> ReadS (MaybeT m a)

readList :: ReadS [MaybeT m a]

readPrec :: ReadPrec (MaybeT m a)

readListPrec :: ReadPrec [MaybeT m a]

(Show1 m, Show a) => Show (MaybeT m a)

Defined in Control.Monad.Trans.Maybe

Methods

showsPrec :: Int -> MaybeT m a -> ShowS

show :: MaybeT m a -> String

showList :: [MaybeT m a] -> ShowS

Wrapped (MaybeT m a)

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (MaybeT m a)

Methods

_Wrapped' :: Iso' (MaybeT m a) (Unwrapped (MaybeT m a))

t ~ MaybeT n b => Rewrapped (MaybeT m a) t

Defined in Control.Lens.Wrapped

type Zoomed (MaybeT m)

Defined in Control.Lens.Zoom

type Zoomed (MaybeT m) = FocusingMay (Zoomed m)

type Zoomed (MaybeT m)

Defined in Lens.Micro.Mtl.Internal

type Zoomed (MaybeT m) = FocusingMay (Zoomed m)

type Unwrapped (MaybeT m a)

Defined in Control.Lens.Wrapped

type Unwrapped (MaybeT m a) = m (Maybe a)

newtype ExceptT e (m :: Type -> Type) a

A monad transformer that adds exceptions to other monads.

ExceptT constructs a monad parameterized over two things:

• e - The exception type.
• m - The inner monad.

The return function yields a computation that produces the given value, while >>= sequences two subcomputations, exiting on the first exception.

Constructors

ExceptT (m (Either e a))

Instances

MonadReader r m => MonadReader r (ExceptT e m)

Since: mtl-2.2

Defined in Control.Monad.Reader.Class

Methods

ask :: ExceptT e m r

local :: (r -> r) -> ExceptT e m a -> ExceptT e m a

reader :: (r -> a) -> ExceptT e m a

MonadState s m => MonadState s (ExceptT e m)

Since: mtl-2.2

Defined in Control.Monad.State.Class

Methods

get :: ExceptT e m s

put :: s -> ExceptT e m ()

state :: (s -> (a, s)) -> ExceptT e m a

Monad m => MonadError e (ExceptT e m)

Since: mtl-2.2

Defined in Control.Monad.Error.Class

Methods

throwError :: e -> ExceptT e m a

catchError :: ExceptT e m a -> (e -> ExceptT e m a) -> ExceptT e m a

MonadTrans (ExceptT e)

Defined in Control.Monad.Trans.Except

Methods

lift :: Monad m => m a -> ExceptT e m a

Monad m => Monad (ExceptT e m)

Defined in Control.Monad.Trans.Except

Methods

(>>=) :: ExceptT e m a -> (a -> ExceptT e m b) -> ExceptT e m b

(>>) :: ExceptT e m a -> ExceptT e m b -> ExceptT e m b

return :: a -> ExceptT e m a

Functor m => Functor (ExceptT e m)

Defined in Control.Monad.Trans.Except

Methods

fmap :: (a -> b) -> ExceptT e m a -> ExceptT e m b

(<$) :: a -> ExceptT e m b -> ExceptT e m a

MonadFix m => MonadFix (ExceptT e m)

Defined in Control.Monad.Trans.Except

Methods

mfix :: (a -> ExceptT e m a) -> ExceptT e m a

MonadFail m => MonadFail (ExceptT e m)

Defined in Control.Monad.Trans.Except

Methods

fail :: String -> ExceptT e m a

(Functor m, Monad m) => Applicative (ExceptT e m)

Defined in Control.Monad.Trans.Except

Methods

pure :: a -> ExceptT e m a

(<*>) :: ExceptT e m (a -> b) -> ExceptT e m a -> ExceptT e m b

liftA2 :: (a -> b -> c) -> ExceptT e m a -> ExceptT e m b -> ExceptT e m c

(*>) :: ExceptT e m a -> ExceptT e m b -> ExceptT e m b

(<*) :: ExceptT e m a -> ExceptT e m b -> ExceptT e m a

Foldable f => Foldable (ExceptT e f)

Defined in Control.Monad.Trans.Except

Methods

fold :: Monoid m => ExceptT e f m -> m

foldMap :: Monoid m => (a -> m) -> ExceptT e f a -> m

foldMap' :: Monoid m => (a -> m) -> ExceptT e f a -> m

foldr :: (a -> b -> b) -> b -> ExceptT e f a -> b

foldr' :: (a -> b -> b) -> b -> ExceptT e f a -> b

foldl :: (b -> a -> b) -> b -> ExceptT e f a -> b

foldl' :: (b -> a -> b) -> b -> ExceptT e f a -> b

foldr1 :: (a -> a -> a) -> ExceptT e f a -> a

foldl1 :: (a -> a -> a) -> ExceptT e f a -> a

toList :: ExceptT e f a -> [a]

null :: ExceptT e f a -> Bool

length :: ExceptT e f a -> Int

elem :: Eq a => a -> ExceptT e f a -> Bool

maximum :: Ord a => ExceptT e f a -> a

minimum :: Ord a => ExceptT e f a -> a

sum :: Num a => ExceptT e f a -> a

product :: Num a => ExceptT e f a -> a

Traversable f => Traversable (ExceptT e f)

Defined in Control.Monad.Trans.Except

Methods

traverse :: Applicative f0 => (a -> f0 b) -> ExceptT e f a -> f0 (ExceptT e f b)

sequenceA :: Applicative f0 => ExceptT e f (f0 a) -> f0 (ExceptT e f a)

mapM :: Monad m => (a -> m b) -> ExceptT e f a -> m (ExceptT e f b)

sequence :: Monad m => ExceptT e f (m a) -> m (ExceptT e f a)

Contravariant m => Contravariant (ExceptT e m)

Defined in Control.Monad.Trans.Except

Methods

contramap :: (a -> b) -> ExceptT e m b -> ExceptT e m a

(>$) :: b -> ExceptT e m b -> ExceptT e m a

(Eq e, Eq1 m) => Eq1 (ExceptT e m)

Defined in Control.Monad.Trans.Except

Methods

liftEq :: (a -> b -> Bool) -> ExceptT e m a -> ExceptT e m b -> Bool

(Ord e, Ord1 m) => Ord1 (ExceptT e m)

Defined in Control.Monad.Trans.Except

Methods

liftCompare :: (a -> b -> Ordering) -> ExceptT e m a -> ExceptT e m b -> Ordering

(Read e, Read1 m) => Read1 (ExceptT e m)

Defined in Control.Monad.Trans.Except

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (ExceptT e m a)

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [ExceptT e m a]

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (ExceptT e m a)

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [ExceptT e m a]

(Show e, Show1 m) => Show1 (ExceptT e m)

Defined in Control.Monad.Trans.Except

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> ExceptT e m a -> ShowS

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [ExceptT e m a] -> ShowS

MonadZip m => MonadZip (ExceptT e m)

Defined in Control.Monad.Trans.Except

Methods

mzip :: ExceptT e m a -> ExceptT e m b -> ExceptT e m (a, b)

mzipWith :: (a -> b -> c) -> ExceptT e m a -> ExceptT e m b -> ExceptT e m c

munzip :: ExceptT e m (a, b) -> (ExceptT e m a, ExceptT e m b)

MonadIO m => MonadIO (ExceptT e m)

Defined in Control.Monad.Trans.Except

Methods

liftIO :: IO a -> ExceptT e m a

(Functor m, Monad m, Monoid e) => Alternative (ExceptT e m)

Defined in Control.Monad.Trans.Except

Methods

empty :: ExceptT e m a

(<|>) :: ExceptT e m a -> ExceptT e m a -> ExceptT e m a

some :: ExceptT e m a -> ExceptT e m [a]

many :: ExceptT e m a -> ExceptT e m [a]

(Monad m, Monoid e) => MonadPlus (ExceptT e m)

Defined in Control.Monad.Trans.Except

Methods

mzero :: ExceptT e m a

mplus :: ExceptT e m a -> ExceptT e m a -> ExceptT e m a

MonadThrow m => MonadThrow (ExceptT e m)

Throws exceptions into the base monad.

Defined in Control.Monad.Catch

Methods

throwM :: Exception e0 => e0 -> ExceptT e m a

MonadCatch m => MonadCatch (ExceptT e m)

Catches exceptions from the base monad.

Defined in Control.Monad.Catch

Methods

catch :: Exception e0 => ExceptT e m a -> (e0 -> ExceptT e m a) -> ExceptT e m a

MonadMask m => MonadMask (ExceptT e m)

Since: exceptions-0.9.0

Defined in Control.Monad.Catch

Methods

mask :: ((forall a. ExceptT e m a -> ExceptT e m a) -> ExceptT e m b) -> ExceptT e m b

uninterruptibleMask :: ((forall a. ExceptT e m a -> ExceptT e m a) -> ExceptT e m b) -> ExceptT e m b

generalBracket :: ExceptT e m a -> (a -> ExitCase b -> ExceptT e m c) -> (a -> ExceptT e m b) -> ExceptT e m (b, c)

Zoom m n s t => Zoom (ExceptT e m) (ExceptT e n) s t

Defined in Control.Lens.Zoom

Methods

zoom :: LensLike' (Zoomed (ExceptT e m) c) t s -> ExceptT e m c -> ExceptT e n c

Zoom m n s t => Zoom (ExceptT e m) (ExceptT e n) s t

Defined in Lens.Micro.Mtl.Internal

Methods

zoom :: LensLike' (Zoomed (ExceptT e m) c) t s -> ExceptT e m c -> ExceptT e n c

(Eq e, Eq1 m, Eq a) => Eq (ExceptT e m a)

Defined in Control.Monad.Trans.Except

Methods

(==) :: ExceptT e m a -> ExceptT e m a -> Bool

(/=) :: ExceptT e m a -> ExceptT e m a -> Bool

(Ord e, Ord1 m, Ord a) => Ord (ExceptT e m a)

Defined in Control.Monad.Trans.Except

Methods

compare :: ExceptT e m a -> ExceptT e m a -> Ordering

(<) :: ExceptT e m a -> ExceptT e m a -> Bool

(<=) :: ExceptT e m a -> ExceptT e m a -> Bool

(>) :: ExceptT e m a -> ExceptT e m a -> Bool

(>=) :: ExceptT e m a -> ExceptT e m a -> Bool

max :: ExceptT e m a -> ExceptT e m a -> ExceptT e m a

min :: ExceptT e m a -> ExceptT e m a -> ExceptT e m a

(Read e, Read1 m, Read a) => Read (ExceptT e m a)

Defined in Control.Monad.Trans.Except

Methods

readsPrec :: Int -> ReadS (ExceptT e m a)

readList :: ReadS [ExceptT e m a]

readPrec :: ReadPrec (ExceptT e m a)

readListPrec :: ReadPrec [ExceptT e m a]

(Show e, Show1 m, Show a) => Show (ExceptT e m a)

Defined in Control.Monad.Trans.Except

Methods

showsPrec :: Int -> ExceptT e m a -> ShowS

show :: ExceptT e m a -> String

showList :: [ExceptT e m a] -> ShowS

Wrapped (ExceptT e m a)

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (ExceptT e m a)

Methods

_Wrapped' :: Iso' (ExceptT e m a) (Unwrapped (ExceptT e m a))

t ~ ExceptT e' m' a' => Rewrapped (ExceptT e m a) t

Defined in Control.Lens.Wrapped

type Zoomed (ExceptT e m)

Defined in Control.Lens.Zoom

type Zoomed (ExceptT e m) = FocusingErr e (Zoomed m)

type Zoomed (ExceptT e m)

Defined in Lens.Micro.Mtl.Internal

type Zoomed (ExceptT e m) = FocusingErr e (Zoomed m)

type Unwrapped (ExceptT e m a)

Defined in Control.Lens.Wrapped

type Unwrapped (ExceptT e m a) = m (Either e a)

class Monad m => MonadThrow (m :: Type -> Type)

A class for monads in which exceptions may be thrown.

Instances should obey the following law:

throwM e >> x = throwM e

In other words, throwing an exception short-circuits the rest of the monadic computation.

Minimal complete definition

throwM

Instances

MonadThrow []

Defined in Control.Monad.Catch

Methods

throwM :: Exception e => e -> [a]

MonadThrow Maybe

Defined in Control.Monad.Catch

Methods

throwM :: Exception e => e -> Maybe a

MonadThrow IO

Defined in Control.Monad.Catch

Methods

throwM :: Exception e => e -> IO a

MonadThrow Q

Defined in Control.Monad.Catch

Methods

throwM :: Exception e => e -> Q a

MonadThrow STM

Defined in Control.Monad.Catch

Methods

throwM :: Exception e => e -> STM a

e ~ SomeException => MonadThrow (Either e)

Defined in Control.Monad.Catch

Methods

throwM :: Exception e0 => e0 -> Either e a

MonadThrow (ST s)

Defined in Control.Monad.Catch

Methods

throwM :: Exception e => e -> ST s a

MonadThrow m => MonadThrow (MaybeT m)

Throws exceptions into the base monad.

Defined in Control.Monad.Catch

Methods

throwM :: Exception e => e -> MaybeT m a

MonadThrow m => MonadThrow (ListT m)

Defined in Control.Monad.Catch

Methods

throwM :: Exception e => e -> ListT m a

MonadThrow m => MonadThrow (IdentityT m)

Defined in Control.Monad.Catch

Methods

throwM :: Exception e => e -> IdentityT m a

MonadThrow m => MonadThrow (ExceptT e m)

Throws exceptions into the base monad.

Defined in Control.Monad.Catch

Methods

throwM :: Exception e0 => e0 -> ExceptT e m a

(Functor f, MonadThrow m) => MonadThrow (FreeT f m)

Defined in Control.Monad.Trans.Free

Methods

throwM :: Exception e => e -> FreeT f m a

(Error e, MonadThrow m) => MonadThrow (ErrorT e m)

Throws exceptions into the base monad.

Defined in Control.Monad.Catch

Methods

throwM :: Exception e0 => e0 -> ErrorT e m a

MonadThrow m => MonadThrow (StateT s m)

Defined in Control.Monad.Catch

Methods

throwM :: Exception e => e -> StateT s m a

MonadThrow m => MonadThrow (StateT s m)

Defined in Control.Monad.Catch

Methods

throwM :: Exception e => e -> StateT s m a

MonadThrow m => MonadThrow (ReaderT r m)

Defined in Control.Monad.Catch

Methods

throwM :: Exception e => e -> ReaderT r m a

(MonadThrow m, Monoid w) => MonadThrow (WriterT w m)

Defined in Control.Monad.Catch

Methods

throwM :: Exception e => e -> WriterT w m a

(MonadThrow m, Monoid w) => MonadThrow (WriterT w m)

Defined in Control.Monad.Catch

Methods

throwM :: Exception e => e -> WriterT w m a

MonadThrow m => MonadThrow (ContT r m)

Defined in Control.Monad.Catch

Methods

throwM :: Exception e => e -> ContT r m a

(MonadThrow m, Monoid w) => MonadThrow (RWST r w s m)

Defined in Control.Monad.Catch

Methods

throwM :: Exception e => e -> RWST r w s m a

(MonadThrow m, Monoid w) => MonadThrow (RWST r w s m)

Defined in Control.Monad.Catch

Methods

throwM :: Exception e => e -> RWST r w s m a

class MonadThrow m => MonadCatch (m :: Type -> Type)

A class for monads which allow exceptions to be caught, in particular exceptions which were thrown by throwM.

Instances should obey the following law:

catch (throwM e) f = f e

Note that the ability to catch an exception does not guarantee that we can deal with all possible exit points from a computation. Some monads, such as continuation-based stacks, allow for more than just a success/failure strategy, and therefore catch cannot be used by those monads to properly implement a function such as finally. For more information, see MonadMask.

Minimal complete definition

catch

Instances

MonadCatch IO

Defined in Control.Monad.Catch

Methods

catch :: Exception e => IO a -> (e -> IO a) -> IO a

MonadCatch STM

Defined in Control.Monad.Catch

Methods

catch :: Exception e => STM a -> (e -> STM a) -> STM a

e ~ SomeException => MonadCatch (Either e)

Since: exceptions-0.8.3

Defined in Control.Monad.Catch

Methods

catch :: Exception e0 => Either e a -> (e0 -> Either e a) -> Either e a

MonadCatch m => MonadCatch (MaybeT m)

Catches exceptions from the base monad.

Defined in Control.Monad.Catch

Methods

catch :: Exception e => MaybeT m a -> (e -> MaybeT m a) -> MaybeT m a

MonadCatch m => MonadCatch (ListT m)

Defined in Control.Monad.Catch

Methods

catch :: Exception e => ListT m a -> (e -> ListT m a) -> ListT m a

MonadCatch m => MonadCatch (IdentityT m)

Defined in Control.Monad.Catch

Methods

catch :: Exception e => IdentityT m a -> (e -> IdentityT m a) -> IdentityT m a

MonadCatch m => MonadCatch (ExceptT e m)

Catches exceptions from the base monad.

Defined in Control.Monad.Catch

Methods

catch :: Exception e0 => ExceptT e m a -> (e0 -> ExceptT e m a) -> ExceptT e m a

(Functor f, MonadCatch m) => MonadCatch (FreeT f m)

Defined in Control.Monad.Trans.Free

Methods

catch :: Exception e => FreeT f m a -> (e -> FreeT f m a) -> FreeT f m a

(Error e, MonadCatch m) => MonadCatch (ErrorT e m)

Catches exceptions from the base monad.

Defined in Control.Monad.Catch

Methods

catch :: Exception e0 => ErrorT e m a -> (e0 -> ErrorT e m a) -> ErrorT e m a

MonadCatch m => MonadCatch (StateT s m)

Defined in Control.Monad.Catch

Methods

catch :: Exception e => StateT s m a -> (e -> StateT s m a) -> StateT s m a

MonadCatch m => MonadCatch (StateT s m)

Defined in Control.Monad.Catch

Methods

catch :: Exception e => StateT s m a -> (e -> StateT s m a) -> StateT s m a

MonadCatch m => MonadCatch (ReaderT r m)

Defined in Control.Monad.Catch

Methods

catch :: Exception e => ReaderT r m a -> (e -> ReaderT r m a) -> ReaderT r m a

(MonadCatch m, Monoid w) => MonadCatch (WriterT w m)

Defined in Control.Monad.Catch

Methods

catch :: Exception e => WriterT w m a -> (e -> WriterT w m a) -> WriterT w m a

(MonadCatch m, Monoid w) => MonadCatch (WriterT w m)

Defined in Control.Monad.Catch

Methods

catch :: Exception e => WriterT w m a -> (e -> WriterT w m a) -> WriterT w m a

(MonadCatch m, Monoid w) => MonadCatch (RWST r w s m)

Defined in Control.Monad.Catch

Methods

catch :: Exception e => RWST r w s m a -> (e -> RWST r w s m a) -> RWST r w s m a

(MonadCatch m, Monoid w) => MonadCatch (RWST r w s m)

Defined in Control.Monad.Catch

Methods

catch :: Exception e => RWST r w s m a -> (e -> RWST r w s m a) -> RWST r w s m a

class MonadCatch m => MonadMask (m :: Type -> Type) where

A class for monads which provide for the ability to account for all possible exit points from a computation, and to mask asynchronous exceptions. Continuation-based monads are invalid instances of this class.

Instances should ensure that, in the following code:

fg = f `finally` g

The action g is called regardless of what occurs within f, including async exceptions. Some monads allow f to abort the computation via other effects than throwing an exception. For simplicity, we will consider aborting and throwing an exception to be two forms of "throwing an error".

If f and g both throw an error, the error thrown by fg depends on which errors we're talking about. In a monad transformer stack, the deeper layers override the effects of the inner layers; for example, ExceptT e1 (Except e2) a represents a value of type Either e2 (Either e1 a), so throwing both an e1 and an e2 will result in Left e2. If f and g both throw an error from the same layer, instances should ensure that the error from g wins.

Effects other than throwing an error are also overriden by the deeper layers. For example, StateT s Maybe a represents a value of type s -> Maybe (a, s), so if an error thrown from f causes this function to return Nothing, any changes to the state which f also performed will be erased. As a result, g will see the state as it was before f. Once g completes, f's error will be rethrown, so g' state changes will be erased as well. This is the normal interaction between effects in a monad transformer stack.

By contrast, lifted-base's version of finally always discards all of g's non-IO effects, and g never sees any of f's non-IO effects, regardless of the layer ordering and regardless of whether f throws an error. This is not the result of interacting effects, but a consequence of MonadBaseControl's approach.

Methods

mask :: ((forall a. m a -> m a) -> m b) -> m b

Runs an action with asynchronous exceptions disabled. The action is provided a method for restoring the async. environment to what it was at the mask call. See Control.Exception's mask.

uninterruptibleMask :: ((forall a. m a -> m a) -> m b) -> m b

Like mask, but the masked computation is not interruptible (see Control.Exception's uninterruptibleMask. WARNING: Only use if you need to mask exceptions around an interruptible operation AND you can guarantee the interruptible operation will only block for a short period of time. Otherwise you render the program/thread unresponsive and/or unkillable.

generalBracket

Arguments

:: m a

acquire some resource

-> (a -> ExitCase b -> m c)

release the resource, observing the outcome of the inner action

-> (a -> m b)

inner action to perform with the resource

-> m (b, c)

A generalized version of bracket which uses ExitCase to distinguish the different exit cases, and returns the values of both the use and release actions. In practice, this extra information is rarely needed, so it is often more convenient to use one of the simpler functions which are defined in terms of this one, such as bracket, finally, onError, and bracketOnError.

This function exists because in order to thread their effects through the execution of bracket, monad transformers need values to be threaded from use to release and from release to the output value.

NOTE This method was added in version 0.9.0 of this library. Previously, implementation of functions like bracket and finally in this module were based on the mask and uninterruptibleMask functions only, disallowing some classes of tranformers from having MonadMask instances (notably multi-exit-point transformers like ExceptT). If you are a library author, you'll now need to provide an implementation for this method. The StateT implementation demonstrates most of the subtleties:

generalBracket acquire release use = StateT $ s0 -> do
  ((b, _s2), (c, s3)) <- generalBracket
    (runStateT acquire s0)
    ((resource, s1) exitCase -> case exitCase of
      ExitCaseSuccess (b, s2) -> runStateT (release resource (ExitCaseSuccess b)) s2

      -- In the two other cases, the base monad overrides use's state
      -- changes and the state reverts to s1.
      ExitCaseException e     -> runStateT (release resource (ExitCaseException e)) s1
      ExitCaseAbort           -> runStateT (release resource ExitCaseAbort) s1
    )
    ((resource, s1) -> runStateT (use resource) s1)
  return ((b, c), s3)

The StateT s m implementation of generalBracket delegates to the m implementation of generalBracket. The acquire, use, and release arguments given to StateT's implementation produce actions of type StateT s m a, StateT s m b, and StateT s m c. In order to run those actions in the base monad, we need to call runStateT, from which we obtain actions of type m (a, s), m (b, s), and m (c, s). Since each action produces the next state, it is important to feed the state produced by the previous action to the next action.

In the ExitCaseSuccess case, the state starts at s0, flows through acquire to become s1, flows through use to become s2, and finally flows through release to become s3. In the other two cases, release does not receive the value s2, so its action cannot see the state changes performed by use. This is fine, because in those two cases, an error was thrown in the base monad, so as per the usual interaction between effects in a monad transformer stack, those state changes get reverted. So we start from s1 instead.

Finally, the m implementation of generalBracket returns the pairs (b, s) and (c, s). For monad transformers other than StateT, this will be some other type representing the effects and values performed and returned by the use and release actions. The effect part of the use result, in this case _s2, usually needs to be discarded, since those effects have already been incorporated in the release action.

The only effect which is intentionally not incorporated in the release action is the effect of throwing an error. In that case, the error must be re-thrown. One subtlety which is easy to miss is that in the case in which use and release both throw an error, the error from release should take priority. Here is an implementation for ExceptT which demonstrates how to do this.

generalBracket acquire release use = ExceptT $ do
  (eb, ec) <- generalBracket
    (runExceptT acquire)
    (eresource exitCase -> case eresource of
      Left e -> return (Left e) -- nothing to release, acquire didn't succeed
      Right resource -> case exitCase of
        ExitCaseSuccess (Right b) -> runExceptT (release resource (ExitCaseSuccess b))
        ExitCaseException e       -> runExceptT (release resource (ExitCaseException e))
        _                         -> runExceptT (release resource ExitCaseAbort))
    (either (return . Left) (runExceptT . use))
  return $ do
    -- The order in which we perform those two Either effects determines
    -- which error will win if they are both Lefts. We want the error from
    -- release to win.
    c <- ec
    b <- eb
    return (b, c)

Since: exceptions-0.9.0

Instances

MonadMask IO

Defined in Control.Monad.Catch

Methods

mask :: ((forall a. IO a -> IO a) -> IO b) -> IO b

uninterruptibleMask :: ((forall a. IO a -> IO a) -> IO b) -> IO b

generalBracket :: IO a -> (a -> ExitCase b -> IO c) -> (a -> IO b) -> IO (b, c)

e ~ SomeException => MonadMask (Either e)

Since: exceptions-0.8.3

Defined in Control.Monad.Catch

Methods

mask :: ((forall a. Either e a -> Either e a) -> Either e b) -> Either e b

uninterruptibleMask :: ((forall a. Either e a -> Either e a) -> Either e b) -> Either e b

generalBracket :: Either e a -> (a -> ExitCase b -> Either e c) -> (a -> Either e b) -> Either e (b, c)

MonadMask m => MonadMask (MaybeT m)

Since: exceptions-0.10.0

Defined in Control.Monad.Catch

Methods

mask :: ((forall a. MaybeT m a -> MaybeT m a) -> MaybeT m b) -> MaybeT m b

uninterruptibleMask :: ((forall a. MaybeT m a -> MaybeT m a) -> MaybeT m b) -> MaybeT m b

generalBracket :: MaybeT m a -> (a -> ExitCase b -> MaybeT m c) -> (a -> MaybeT m b) -> MaybeT m (b, c)

MonadMask m => MonadMask (IdentityT m)

Defined in Control.Monad.Catch

Methods

mask :: ((forall a. IdentityT m a -> IdentityT m a) -> IdentityT m b) -> IdentityT m b

uninterruptibleMask :: ((forall a. IdentityT m a -> IdentityT m a) -> IdentityT m b) -> IdentityT m b

generalBracket :: IdentityT m a -> (a -> ExitCase b -> IdentityT m c) -> (a -> IdentityT m b) -> IdentityT m (b, c)

MonadMask m => MonadMask (ExceptT e m)

Since: exceptions-0.9.0

Defined in Control.Monad.Catch

Methods

mask :: ((forall a. ExceptT e m a -> ExceptT e m a) -> ExceptT e m b) -> ExceptT e m b

uninterruptibleMask :: ((forall a. ExceptT e m a -> ExceptT e m a) -> ExceptT e m b) -> ExceptT e m b

generalBracket :: ExceptT e m a -> (a -> ExitCase b -> ExceptT e m c) -> (a -> ExceptT e m b) -> ExceptT e m (b, c)

(Error e, MonadMask m) => MonadMask (ErrorT e m)

Defined in Control.Monad.Catch

Methods

mask :: ((forall a. ErrorT e m a -> ErrorT e m a) -> ErrorT e m b) -> ErrorT e m b

uninterruptibleMask :: ((forall a. ErrorT e m a -> ErrorT e m a) -> ErrorT e m b) -> ErrorT e m b

generalBracket :: ErrorT e m a -> (a -> ExitCase b -> ErrorT e m c) -> (a -> ErrorT e m b) -> ErrorT e m (b, c)

MonadMask m => MonadMask (StateT s m)

Defined in Control.Monad.Catch

Methods

mask :: ((forall a. StateT s m a -> StateT s m a) -> StateT s m b) -> StateT s m b

uninterruptibleMask :: ((forall a. StateT s m a -> StateT s m a) -> StateT s m b) -> StateT s m b

generalBracket :: StateT s m a -> (a -> ExitCase b -> StateT s m c) -> (a -> StateT s m b) -> StateT s m (b, c)

MonadMask m => MonadMask (StateT s m)

Defined in Control.Monad.Catch

Methods

mask :: ((forall a. StateT s m a -> StateT s m a) -> StateT s m b) -> StateT s m b

uninterruptibleMask :: ((forall a. StateT s m a -> StateT s m a) -> StateT s m b) -> StateT s m b

generalBracket :: StateT s m a -> (a -> ExitCase b -> StateT s m c) -> (a -> StateT s m b) -> StateT s m (b, c)

MonadMask m => MonadMask (ReaderT r m)

Defined in Control.Monad.Catch

Methods

mask :: ((forall a. ReaderT r m a -> ReaderT r m a) -> ReaderT r m b) -> ReaderT r m b

uninterruptibleMask :: ((forall a. ReaderT r m a -> ReaderT r m a) -> ReaderT r m b) -> ReaderT r m b

generalBracket :: ReaderT r m a -> (a -> ExitCase b -> ReaderT r m c) -> (a -> ReaderT r m b) -> ReaderT r m (b, c)

(MonadMask m, Monoid w) => MonadMask (WriterT w m)

Defined in Control.Monad.Catch

Methods

mask :: ((forall a. WriterT w m a -> WriterT w m a) -> WriterT w m b) -> WriterT w m b

uninterruptibleMask :: ((forall a. WriterT w m a -> WriterT w m a) -> WriterT w m b) -> WriterT w m b

generalBracket :: WriterT w m a -> (a -> ExitCase b -> WriterT w m c) -> (a -> WriterT w m b) -> WriterT w m (b, c)

(MonadMask m, Monoid w) => MonadMask (WriterT w m)

Defined in Control.Monad.Catch

Methods

mask :: ((forall a. WriterT w m a -> WriterT w m a) -> WriterT w m b) -> WriterT w m b

uninterruptibleMask :: ((forall a. WriterT w m a -> WriterT w m a) -> WriterT w m b) -> WriterT w m b

generalBracket :: WriterT w m a -> (a -> ExitCase b -> WriterT w m c) -> (a -> WriterT w m b) -> WriterT w m (b, c)

(MonadMask m, Monoid w) => MonadMask (RWST r w s m)

Defined in Control.Monad.Catch

Methods

mask :: ((forall a. RWST r w s m a -> RWST r w s m a) -> RWST r w s m b) -> RWST r w s m b

uninterruptibleMask :: ((forall a. RWST r w s m a -> RWST r w s m a) -> RWST r w s m b) -> RWST r w s m b

generalBracket :: RWST r w s m a -> (a -> ExitCase b -> RWST r w s m c) -> (a -> RWST r w s m b) -> RWST r w s m (b, c)

(MonadMask m, Monoid w) => MonadMask (RWST r w s m)

Defined in Control.Monad.Catch

Methods

mask :: ((forall a. RWST r w s m a -> RWST r w s m a) -> RWST r w s m b) -> RWST r w s m b

uninterruptibleMask :: ((forall a. RWST r w s m a -> RWST r w s m a) -> RWST r w s m b) -> RWST r w s m b

generalBracket :: RWST r w s m a -> (a -> ExitCase b -> RWST r w s m c) -> (a -> RWST r w s m b) -> RWST r w s m (b, c)

class Hashable a where

The class of types that can be converted to a hash value.

Minimal implementation: hashWithSalt.

Minimal complete definition

Nothing

Methods

hashWithSalt :: Int -> a -> Int infixl 0

Return a hash value for the argument, using the given salt.

The general contract of hashWithSalt is:

• If two values are equal according to the == method, then applying the hashWithSalt method on each of the two values must produce the same integer result if the same salt is used in each case.
• It is not required that if two values are unequal according to the == method, then applying the hashWithSalt method on each of the two values must produce distinct integer results. However, the programmer should be aware that producing distinct integer results for unequal values may improve the performance of hashing-based data structures.
• This method can be used to compute different hash values for the same input by providing a different salt in each application of the method. This implies that any instance that defines hashWithSalt must make use of the salt in its implementation.

Instances

Hashable Bool

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Bool -> Int

hash :: Bool -> Int

Hashable Char

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Char -> Int

hash :: Char -> Int

Hashable Double

Note: prior to hashable-1.3.0.0, hash 0.0 /= hash (-0.0)

The hash of NaN is not well defined.

Since: hashable-1.3.0.0

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Double -> Int

hash :: Double -> Int

Hashable Float

Note: prior to hashable-1.3.0.0, hash 0.0 /= hash (-0.0)

The hash of NaN is not well defined.

Since: hashable-1.3.0.0

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Float -> Int

hash :: Float -> Int

Hashable Int

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Int -> Int

hash :: Int -> Int

Hashable Int8

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Int8 -> Int

hash :: Int8 -> Int

Hashable Int16

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Int16 -> Int

hash :: Int16 -> Int

Hashable Int32

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Int32 -> Int

hash :: Int32 -> Int

Hashable Int64

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Int64 -> Int

hash :: Int64 -> Int

Hashable Integer

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Integer -> Int

hash :: Integer -> Int

Hashable Natural

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Natural -> Int

hash :: Natural -> Int

Hashable Ordering

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Ordering -> Int

hash :: Ordering -> Int

Hashable Word

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Word -> Int

hash :: Word -> Int

Hashable Word8

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Word8 -> Int

hash :: Word8 -> Int

Hashable Word16

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Word16 -> Int

hash :: Word16 -> Int

Hashable Word32

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Word32 -> Int

hash :: Word32 -> Int

Hashable Word64

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Word64 -> Int

hash :: Word64 -> Int

Hashable SomeTypeRep

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> SomeTypeRep -> Int

hash :: SomeTypeRep -> Int

Hashable ()

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> () -> Int

hash :: () -> Int

Hashable Void

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Void -> Int

hash :: Void -> Int

Hashable Unique

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Unique -> Int

hash :: Unique -> Int

Hashable Version

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Version -> Int

hash :: Version -> Int

Hashable ThreadId

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> ThreadId -> Int

hash :: ThreadId -> Int

Hashable WordPtr

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> WordPtr -> Int

hash :: WordPtr -> Int

Hashable IntPtr

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> IntPtr -> Int

hash :: IntPtr -> Int

Hashable Fingerprint

Since: hashable-1.3.0.0

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Fingerprint -> Int

hash :: Fingerprint -> Int

Hashable ShortByteString

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> ShortByteString -> Int

hash :: ShortByteString -> Int

Hashable ByteString

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> ByteString -> Int

hash :: ByteString -> Int

Hashable ByteString

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> ByteString -> Int

hash :: ByteString -> Int

Hashable BigNat

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> BigNat -> Int

hash :: BigNat -> Int

Hashable Text

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Text -> Int

hash :: Text -> Int

Hashable Text

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Text -> Int

hash :: Text -> Int

Hashable a => Hashable [a]

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> [a] -> Int

hash :: [a] -> Int

Hashable a => Hashable (Maybe a)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Maybe a -> Int

hash :: Maybe a -> Int

Hashable a => Hashable (Ratio a)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Ratio a -> Int

hash :: Ratio a -> Int

Hashable (Ptr a)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Ptr a -> Int

hash :: Ptr a -> Int

Hashable (FunPtr a)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> FunPtr a -> Int

hash :: FunPtr a -> Int

Hashable a => Hashable (Complex a)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Complex a -> Int

hash :: Complex a -> Int

Hashable a => Hashable (Min a)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Min a -> Int

hash :: Min a -> Int

Hashable a => Hashable (Max a)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Max a -> Int

hash :: Max a -> Int

Hashable a => Hashable (First a)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> First a -> Int

hash :: First a -> Int

Hashable a => Hashable (Last a)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Last a -> Int

hash :: Last a -> Int

Hashable a => Hashable (WrappedMonoid a)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> WrappedMonoid a -> Int

hash :: WrappedMonoid a -> Int

Hashable a => Hashable (Option a)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Option a -> Int

hash :: Option a -> Int

Hashable (StableName a)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> StableName a -> Int

hash :: StableName a -> Int

Hashable a => Hashable (Identity a)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Identity a -> Int

hash :: Identity a -> Int

Hashable a => Hashable (NonEmpty a)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> NonEmpty a -> Int

hash :: NonEmpty a -> Int

Hashable (Hashed a)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Hashed a -> Int

hash :: Hashed a -> Int

Hashable a => Hashable (HashSet a)

Defined in Data.HashSet.Internal

Methods

hashWithSalt :: Int -> HashSet a -> Int

hash :: HashSet a -> Int

(Hashable a, Hashable b) => Hashable (Either a b)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Either a b -> Int

hash :: Either a b -> Int

Hashable (TypeRep a)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> TypeRep a -> Int

hash :: TypeRep a -> Int

(Hashable a1, Hashable a2) => Hashable (a1, a2)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> (a1, a2) -> Int

hash :: (a1, a2) -> Int

Hashable (Fixed a)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Fixed a -> Int

hash :: Fixed a -> Int

Hashable a => Hashable (Arg a b)

Note: Prior to hashable-1.3.0.0 the hash computation included the second argument of Arg which wasn't consistent with its Eq instance.

Since: hashable-1.3.0.0

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Arg a b -> Int

hash :: Arg a b -> Int

Hashable (Proxy a)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Proxy a -> Int

hash :: Proxy a -> Int

(Hashable k, Hashable v) => Hashable (HashMap k v)

Defined in Data.HashMap.Internal

Methods

hashWithSalt :: Int -> HashMap k v -> Int

hash :: HashMap k v -> Int

(Hashable a1, Hashable a2, Hashable a3) => Hashable (a1, a2, a3)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> (a1, a2, a3) -> Int

hash :: (a1, a2, a3) -> Int

Hashable a => Hashable (Const a b)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Const a b -> Int

hash :: Const a b -> Int

(Hashable a1, Hashable a2, Hashable a3, Hashable a4) => Hashable (a1, a2, a3, a4)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> (a1, a2, a3, a4) -> Int

hash :: (a1, a2, a3, a4) -> Int

(Hashable1 f, Hashable1 g, Hashable a) => Hashable (Product f g a)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Product f g a -> Int

hash :: Product f g a -> Int

(Hashable1 f, Hashable1 g, Hashable a) => Hashable (Sum f g a)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Sum f g a -> Int

hash :: Sum f g a -> Int

(Hashable a1, Hashable a2, Hashable a3, Hashable a4, Hashable a5) => Hashable (a1, a2, a3, a4, a5)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> (a1, a2, a3, a4, a5) -> Int

hash :: (a1, a2, a3, a4, a5) -> Int

(Hashable1 f, Hashable1 g, Hashable a) => Hashable (Compose f g a)

In general, hash (Compose x) ≠ hash x. However, hashWithSalt satisfies its variant of this equivalence.

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Compose f g a -> Int

hash :: Compose f g a -> Int

(Hashable a1, Hashable a2, Hashable a3, Hashable a4, Hashable a5, Hashable a6) => Hashable (a1, a2, a3, a4, a5, a6)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> (a1, a2, a3, a4, a5, a6) -> Int

hash :: (a1, a2, a3, a4, a5, a6) -> Int

(Hashable a1, Hashable a2, Hashable a3, Hashable a4, Hashable a5, Hashable a6, Hashable a7) => Hashable (a1, a2, a3, a4, a5, a6, a7)

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> (a1, a2, a3, a4, a5, a6, a7) -> Int

hash :: (a1, a2, a3, a4, a5, a6, a7) -> Int

data HashMap k v

A map from keys to values. A map cannot contain duplicate keys; each key can map to at most one value.

Instances

Bifoldable HashMap

Since: unordered-containers-0.2.11

Defined in Data.HashMap.Internal

Methods

bifold :: Monoid m => HashMap m m -> m

bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> HashMap a b -> m

bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> HashMap a b -> c

bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> HashMap a b -> c

Eq2 HashMap

Defined in Data.HashMap.Internal

Methods

liftEq2 :: (a -> b -> Bool) -> (c -> d -> Bool) -> HashMap a c -> HashMap b d -> Bool

Ord2 HashMap

Defined in Data.HashMap.Internal

Methods

liftCompare2 :: (a -> b -> Ordering) -> (c -> d -> Ordering) -> HashMap a c -> HashMap b d -> Ordering

Show2 HashMap

Defined in Data.HashMap.Internal

Methods

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

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

Hashable2 HashMap

Defined in Data.HashMap.Internal

Methods

liftHashWithSalt2 :: (Int -> a -> Int) -> (Int -> b -> Int) -> Int -> HashMap a b -> Int

Functor (HashMap k)

Defined in Data.HashMap.Internal

Methods

fmap :: (a -> b) -> HashMap k a -> HashMap k b

(<$) :: a -> HashMap k b -> HashMap k a

Foldable (HashMap k)

Defined in Data.HashMap.Internal

Methods

fold :: Monoid m => HashMap k m -> m

foldMap :: Monoid m => (a -> m) -> HashMap k a -> m

foldMap' :: Monoid m => (a -> m) -> HashMap k a -> m

foldr :: (a -> b -> b) -> b -> HashMap k a -> b

foldr' :: (a -> b -> b) -> b -> HashMap k a -> b

foldl :: (b -> a -> b) -> b -> HashMap k a -> b

foldl' :: (b -> a -> b) -> b -> HashMap k a -> b

foldr1 :: (a -> a -> a) -> HashMap k a -> a

foldl1 :: (a -> a -> a) -> HashMap k a -> a

toList :: HashMap k a -> [a]

null :: HashMap k a -> Bool

length :: HashMap k a -> Int

elem :: Eq a => a -> HashMap k a -> Bool

maximum :: Ord a => HashMap k a -> a

minimum :: Ord a => HashMap k a -> a

sum :: Num a => HashMap k a -> a

product :: Num a => HashMap k a -> a

Traversable (HashMap k)

Defined in Data.HashMap.Internal

Methods

traverse :: Applicative f => (a -> f b) -> HashMap k a -> f (HashMap k b)

sequenceA :: Applicative f => HashMap k (f a) -> f (HashMap k a)

mapM :: Monad m => (a -> m b) -> HashMap k a -> m (HashMap k b)

sequence :: Monad m => HashMap k (m a) -> m (HashMap k a)

Eq k => Eq1 (HashMap k)

Defined in Data.HashMap.Internal

Methods

liftEq :: (a -> b -> Bool) -> HashMap k a -> HashMap k b -> Bool

Ord k => Ord1 (HashMap k)

Defined in Data.HashMap.Internal

Methods

liftCompare :: (a -> b -> Ordering) -> HashMap k a -> HashMap k b -> Ordering

(Eq k, Hashable k, Read k) => Read1 (HashMap k)

Defined in Data.HashMap.Internal

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (HashMap k a)

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [HashMap k a]

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (HashMap k a)

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [HashMap k a]

Show k => Show1 (HashMap k)

Defined in Data.HashMap.Internal

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> HashMap k a -> ShowS

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [HashMap k a] -> ShowS

Hashable k => Hashable1 (HashMap k)

Defined in Data.HashMap.Internal

Methods

liftHashWithSalt :: (Int -> a -> Int) -> Int -> HashMap k a -> Int

(Eq k, Hashable k) => IsList (HashMap k v)

Defined in Data.HashMap.Internal

Associated Types

type Item (HashMap k v)

Methods

fromList :: [Item (HashMap k v)] -> HashMap k v

fromListN :: Int -> [Item (HashMap k v)] -> HashMap k v

toList :: HashMap k v -> [Item (HashMap k v)]

(Eq k, Eq v) => Eq (HashMap k v)

Note that, in the presence of hash collisions, equal HashMaps may behave differently, i.e. substitutivity may be violated:

>>> data D = A | B deriving (Eq, Show)
>>> instance Hashable D where hashWithSalt salt _d = salt

>>> x = fromList [(A,1), (B,2)]
>>> y = fromList [(B,2), (A,1)]

>>> x == y
True
>>> toList x
[(A,1),(B,2)]
>>> toList y
[(B,2),(A,1)]

In general, the lack of substitutivity can be observed with any function that depends on the key ordering, such as folds and traversals.

Defined in Data.HashMap.Internal

Methods

(==) :: HashMap k v -> HashMap k v -> Bool

(/=) :: HashMap k v -> HashMap k v -> Bool

(Data k, Data v, Eq k, Hashable k) => Data (HashMap k v)

Defined in Data.HashMap.Internal

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> HashMap k v -> c (HashMap k v)

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (HashMap k v)

toConstr :: HashMap k v -> Constr

dataTypeOf :: HashMap k v -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (HashMap k v))

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (HashMap k v))

gmapT :: (forall b. Data b => b -> b) -> HashMap k v -> HashMap k v

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> HashMap k v -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> HashMap k v -> r

gmapQ :: (forall d. Data d => d -> u) -> HashMap k v -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> HashMap k v -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> HashMap k v -> m (HashMap k v)

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> HashMap k v -> m (HashMap k v)

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> HashMap k v -> m (HashMap k v)

(Ord k, Ord v) => Ord (HashMap k v)

The ordering is total and consistent with the Eq instance. However, nothing else about the ordering is specified, and it may change from version to version of either this package or of hashable.

Defined in Data.HashMap.Internal

Methods

compare :: HashMap k v -> HashMap k v -> Ordering

(<) :: HashMap k v -> HashMap k v -> Bool

(<=) :: HashMap k v -> HashMap k v -> Bool

(>) :: HashMap k v -> HashMap k v -> Bool

(>=) :: HashMap k v -> HashMap k v -> Bool

max :: HashMap k v -> HashMap k v -> HashMap k v

min :: HashMap k v -> HashMap k v -> HashMap k v

(Eq k, Hashable k, Read k, Read e) => Read (HashMap k e)

Defined in Data.HashMap.Internal

Methods

readsPrec :: Int -> ReadS (HashMap k e)

readList :: ReadS [HashMap k e]

readPrec :: ReadPrec (HashMap k e)

readListPrec :: ReadPrec [HashMap k e]

(Show k, Show v) => Show (HashMap k v)

Defined in Data.HashMap.Internal

Methods

showsPrec :: Int -> HashMap k v -> ShowS

show :: HashMap k v -> String

showList :: [HashMap k v] -> ShowS

(Eq k, Hashable k) => Semigroup (HashMap k v)

<> = union

If a key occurs in both maps, the mapping from the first will be the mapping in the result.

Examples

>>> fromList [(1,'a'),(2,'b')] <> fromList [(2,'c'),(3,'d')]
fromList [(1,'a'),(2,'b'),(3,'d')]

Defined in Data.HashMap.Internal

Methods

(<>) :: HashMap k v -> HashMap k v -> HashMap k v

sconcat :: NonEmpty (HashMap k v) -> HashMap k v

stimes :: Integral b => b -> HashMap k v -> HashMap k v

(Eq k, Hashable k) => Monoid (HashMap k v)

mempty = empty

mappend = union

If a key occurs in both maps, the mapping from the first will be the mapping in the result.

Examples

>>> mappend (fromList [(1,'a'),(2,'b')]) (fromList [(2,'c'),(3,'d')])
fromList [(1,'a'),(2,'b'),(3,'d')]

Defined in Data.HashMap.Internal

Methods

mempty :: HashMap k v

mappend :: HashMap k v -> HashMap k v -> HashMap k v

mconcat :: [HashMap k v] -> HashMap k v

(NFData k, NFData v) => NFData (HashMap k v)

Defined in Data.HashMap.Internal

Methods

rnf :: HashMap k v -> ()

(Hashable k, Hashable v) => Hashable (HashMap k v)

Defined in Data.HashMap.Internal

Methods

hashWithSalt :: Int -> HashMap k v -> Int

hash :: HashMap k v -> Int

(Eq k, Hashable k) => Ixed (HashMap k a)

Defined in Control.Lens.At

Methods

ix :: Index (HashMap k a) -> Traversal' (HashMap k a) (IxValue (HashMap k a))

(Eq k, Hashable k) => At (HashMap k a)

Defined in Control.Lens.At

Methods

at :: Index (HashMap k a) -> Lens' (HashMap k a) (Maybe (IxValue (HashMap k a)))

(Hashable k, Eq k) => Wrapped (HashMap k a)

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (HashMap k a)

Methods

_Wrapped' :: Iso' (HashMap k a) (Unwrapped (HashMap k a))

ToPairs (HashMap k v)

Defined in Universum.Container.Class

Associated Types

type Key (HashMap k v)

type Val (HashMap k v)

Methods

toPairs :: HashMap k v -> [(Key (HashMap k v), Val (HashMap k v))]

keys :: HashMap k v -> [Key (HashMap k v)]

elems :: HashMap k v -> [Val (HashMap k v)]

Container (HashMap k v)

Defined in Universum.Container.Class

Associated Types

type Element (HashMap k v)

Methods

toList :: HashMap k v -> [Element (HashMap k v)]

null :: HashMap k v -> Bool

foldr :: (Element (HashMap k v) -> b -> b) -> b -> HashMap k v -> b

foldl :: (b -> Element (HashMap k v) -> b) -> b -> HashMap k v -> b

foldl' :: (b -> Element (HashMap k v) -> b) -> b -> HashMap k v -> b

length :: HashMap k v -> Int

elem :: Element (HashMap k v) -> HashMap k v -> Bool

maximum :: HashMap k v -> Element (HashMap k v)

minimum :: HashMap k v -> Element (HashMap k v)

foldMap :: Monoid m => (Element (HashMap k v) -> m) -> HashMap k v -> m

fold :: HashMap k v -> Element (HashMap k v)

foldr' :: (Element (HashMap k v) -> b -> b) -> b -> HashMap k v -> b

foldr1 :: (Element (HashMap k v) -> Element (HashMap k v) -> Element (HashMap k v)) -> HashMap k v -> Element (HashMap k v)

foldl1 :: (Element (HashMap k v) -> Element (HashMap k v) -> Element (HashMap k v)) -> HashMap k v -> Element (HashMap k v)

notElem :: Element (HashMap k v) -> HashMap k v -> Bool

all :: (Element (HashMap k v) -> Bool) -> HashMap k v -> Bool

any :: (Element (HashMap k v) -> Bool) -> HashMap k v -> Bool

and :: HashMap k v -> Bool

or :: HashMap k v -> Bool

find :: (Element (HashMap k v) -> Bool) -> HashMap k v -> Maybe (Element (HashMap k v))

safeHead :: HashMap k v -> Maybe (Element (HashMap k v))

Hashable k => One (HashMap k v)

Defined in Universum.Container.Class

Associated Types

type OneItem (HashMap k v)

Methods

one :: OneItem (HashMap k v) -> HashMap k v

(t ~ HashMap k' a', Hashable k, Eq k) => Rewrapped (HashMap k a) t

Use wrapping fromList. Unwrapping returns some permutation of the list.

Defined in Control.Lens.Wrapped

type Item (HashMap k v)

Defined in Data.HashMap.Internal

type Item (HashMap k v) = (k, v)

type Index (HashMap k a)

Defined in Control.Lens.At

type Index (HashMap k a) = k

type IxValue (HashMap k a)

Defined in Control.Lens.At

type IxValue (HashMap k a) = a

type Unwrapped (HashMap k a)

Defined in Control.Lens.Wrapped

type Unwrapped (HashMap k a) = [(k, a)]

type Val (HashMap k v)

Defined in Universum.Container.Class

type Val (HashMap k v) = v

type Key (HashMap k v)

Defined in Universum.Container.Class

type Key (HashMap k v) = k

type Element (HashMap k v)

Defined in Universum.Container.Class

type Element (HashMap k v) = ElementDefault (HashMap k v)

type OneItem (HashMap k v)

Defined in Universum.Container.Class

type OneItem (HashMap k v) = (k, v)

toStrict :: Text -> Text

O(n) Convert a lazy Text into a strict Text.

data HashSet a

A set of values. A set cannot contain duplicate values.

Instances

Foldable HashSet

Defined in Data.HashSet.Internal

Methods

fold :: Monoid m => HashSet m -> m

foldMap :: Monoid m => (a -> m) -> HashSet a -> m

foldMap' :: Monoid m => (a -> m) -> HashSet a -> m

foldr :: (a -> b -> b) -> b -> HashSet a -> b

foldr' :: (a -> b -> b) -> b -> HashSet a -> b

foldl :: (b -> a -> b) -> b -> HashSet a -> b

foldl' :: (b -> a -> b) -> b -> HashSet a -> b

foldr1 :: (a -> a -> a) -> HashSet a -> a

foldl1 :: (a -> a -> a) -> HashSet a -> a

toList :: HashSet a -> [a]

null :: HashSet a -> Bool

length :: HashSet a -> Int

elem :: Eq a => a -> HashSet a -> Bool

maximum :: Ord a => HashSet a -> a

minimum :: Ord a => HashSet a -> a

sum :: Num a => HashSet a -> a

product :: Num a => HashSet a -> a

Eq1 HashSet

Defined in Data.HashSet.Internal

Methods

liftEq :: (a -> b -> Bool) -> HashSet a -> HashSet b -> Bool

Ord1 HashSet

Defined in Data.HashSet.Internal

Methods

liftCompare :: (a -> b -> Ordering) -> HashSet a -> HashSet b -> Ordering

Show1 HashSet

Defined in Data.HashSet.Internal

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> HashSet a -> ShowS

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [HashSet a] -> ShowS

Hashable1 HashSet

Defined in Data.HashSet.Internal

Methods

liftHashWithSalt :: (Int -> a -> Int) -> Int -> HashSet a -> Int

(Eq a, Hashable a) => IsList (HashSet a)

Defined in Data.HashSet.Internal

Associated Types

type Item (HashSet a)

Methods

fromList :: [Item (HashSet a)] -> HashSet a

fromListN :: Int -> [Item (HashSet a)] -> HashSet a

toList :: HashSet a -> [Item (HashSet a)]

Eq a => Eq (HashSet a)

Note that, in the presence of hash collisions, equal HashSets may behave differently, i.e. substitutivity may be violated:

>>> data D = A | B deriving (Eq, Show)
>>> instance Hashable D where hashWithSalt salt _d = salt

>>> x = fromList [A, B]
>>> y = fromList [B, A]

>>> x == y
True
>>> toList x
[A,B]
>>> toList y
[B,A]

In general, the lack of substitutivity can be observed with any function that depends on the key ordering, such as folds and traversals.

Defined in Data.HashSet.Internal

Methods

(==) :: HashSet a -> HashSet a -> Bool

(/=) :: HashSet a -> HashSet a -> Bool

(Data a, Eq a, Hashable a) => Data (HashSet a)

Defined in Data.HashSet.Internal

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> HashSet a -> c (HashSet a)

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (HashSet a)

toConstr :: HashSet a -> Constr

dataTypeOf :: HashSet a -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (HashSet a))

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (HashSet a))

gmapT :: (forall b. Data b => b -> b) -> HashSet a -> HashSet a

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> HashSet a -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> HashSet a -> r

gmapQ :: (forall d. Data d => d -> u) -> HashSet a -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> HashSet a -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> HashSet a -> m (HashSet a)

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> HashSet a -> m (HashSet a)

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> HashSet a -> m (HashSet a)

Ord a => Ord (HashSet a)

Defined in Data.HashSet.Internal

Methods

compare :: HashSet a -> HashSet a -> Ordering

(<) :: HashSet a -> HashSet a -> Bool

(<=) :: HashSet a -> HashSet a -> Bool

(>) :: HashSet a -> HashSet a -> Bool

(>=) :: HashSet a -> HashSet a -> Bool

max :: HashSet a -> HashSet a -> HashSet a

min :: HashSet a -> HashSet a -> HashSet a

(Eq a, Hashable a, Read a) => Read (HashSet a)

Defined in Data.HashSet.Internal

Methods

readsPrec :: Int -> ReadS (HashSet a)

readList :: ReadS [HashSet a]

readPrec :: ReadPrec (HashSet a)

readListPrec :: ReadPrec [HashSet a]

Show a => Show (HashSet a)

Defined in Data.HashSet.Internal

Methods

showsPrec :: Int -> HashSet a -> ShowS

show :: HashSet a -> String

showList :: [HashSet a] -> ShowS

(Hashable a, Eq a) => Semigroup (HashSet a)

<> = union

O(n+m)

To obtain good performance, the smaller set must be presented as the first argument.

Examples

>>> fromList [1,2] <> fromList [2,3]
fromList [1,2,3]

Defined in Data.HashSet.Internal

Methods

(<>) :: HashSet a -> HashSet a -> HashSet a

sconcat :: NonEmpty (HashSet a) -> HashSet a

stimes :: Integral b => b -> HashSet a -> HashSet a

(Hashable a, Eq a) => Monoid (HashSet a)

mempty = empty

mappend = union

O(n+m)

To obtain good performance, the smaller set must be presented as the first argument.

Examples

>>> mappend (fromList [1,2]) (fromList [2,3])
fromList [1,2,3]

Defined in Data.HashSet.Internal

Methods

mempty :: HashSet a

mappend :: HashSet a -> HashSet a -> HashSet a

mconcat :: [HashSet a] -> HashSet a

NFData a => NFData (HashSet a)

Defined in Data.HashSet.Internal

Methods

rnf :: HashSet a -> ()

Hashable a => Hashable (HashSet a)

Defined in Data.HashSet.Internal

Methods

hashWithSalt :: Int -> HashSet a -> Int

hash :: HashSet a -> Int

(Eq a, Hashable a) => Contains (HashSet a)

Defined in Control.Lens.At

Methods

contains :: Index (HashSet a) -> Lens' (HashSet a) Bool

(Eq k, Hashable k) => Ixed (HashSet k)

Defined in Control.Lens.At

Methods

ix :: Index (HashSet k) -> Traversal' (HashSet k) (IxValue (HashSet k))

(Eq k, Hashable k) => At (HashSet k)

Defined in Control.Lens.At

Methods

at :: Index (HashSet k) -> Lens' (HashSet k) (Maybe (IxValue (HashSet k)))

(Hashable a, Eq a) => Wrapped (HashSet a)

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (HashSet a)

Methods

_Wrapped' :: Iso' (HashSet a) (Unwrapped (HashSet a))

(Eq v, Hashable v) => Container (HashSet v)

Defined in Universum.Container.Class

Associated Types

type Element (HashSet v)

Methods

toList :: HashSet v -> [Element (HashSet v)]

null :: HashSet v -> Bool

foldr :: (Element (HashSet v) -> b -> b) -> b -> HashSet v -> b

foldl :: (b -> Element (HashSet v) -> b) -> b -> HashSet v -> b

foldl' :: (b -> Element (HashSet v) -> b) -> b -> HashSet v -> b

length :: HashSet v -> Int

elem :: Element (HashSet v) -> HashSet v -> Bool

maximum :: HashSet v -> Element (HashSet v)

minimum :: HashSet v -> Element (HashSet v)

foldMap :: Monoid m => (Element (HashSet v) -> m) -> HashSet v -> m

fold :: HashSet v -> Element (HashSet v)

foldr' :: (Element (HashSet v) -> b -> b) -> b -> HashSet v -> b

foldr1 :: (Element (HashSet v) -> Element (HashSet v) -> Element (HashSet v)) -> HashSet v -> Element (HashSet v)

foldl1 :: (Element (HashSet v) -> Element (HashSet v) -> Element (HashSet v)) -> HashSet v -> Element (HashSet v)

notElem :: Element (HashSet v) -> HashSet v -> Bool

all :: (Element (HashSet v) -> Bool) -> HashSet v -> Bool

any :: (Element (HashSet v) -> Bool) -> HashSet v -> Bool

and :: HashSet v -> Bool

or :: HashSet v -> Bool

find :: (Element (HashSet v) -> Bool) -> HashSet v -> Maybe (Element (HashSet v))

safeHead :: HashSet v -> Maybe (Element (HashSet v))

Hashable v => One (HashSet v)

Defined in Universum.Container.Class

Associated Types

type OneItem (HashSet v)

Methods

one :: OneItem (HashSet v) -> HashSet v

(t ~ HashSet a', Hashable a, Eq a) => Rewrapped (HashSet a) t

Use wrapping fromList. Unwrapping returns some permutation of the list.

Defined in Control.Lens.Wrapped

type Item (HashSet a)

Defined in Data.HashSet.Internal

type Item (HashSet a) = a

type Index (HashSet a)

Defined in Control.Lens.At

type Index (HashSet a) = a

type IxValue (HashSet k)

Defined in Control.Lens.At

type IxValue (HashSet k) = ()

type Unwrapped (HashSet a)

Defined in Control.Lens.Wrapped

type Unwrapped (HashSet a) = [a]

type Element (HashSet v)

Defined in Universum.Container.Class

type Element (HashSet v) = ElementDefault (HashSet v)

type OneItem (HashSet v)

Defined in Universum.Container.Class

type OneItem (HashSet v) = v

newtype StateT s (m :: Type -> Type) 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.

Constructors

StateT

Fields

• runStateT :: s -> m (a, s)

Instances

MonadReader r m => MonadReader r (StateT s m)

Defined in Control.Monad.Reader.Class

Methods

ask :: StateT s m r

local :: (r -> r) -> StateT s m a -> StateT s m a

reader :: (r -> a) -> StateT s m a

Monad m => MonadState s (StateT s m)

Defined in Control.Monad.State.Class

Methods

get :: StateT s m s

put :: s -> StateT s m ()

state :: (s -> (a, s)) -> StateT s m a

MonadError e m => MonadError e (StateT s m)

Defined in Control.Monad.Error.Class

Methods

throwError :: e -> StateT s m a

catchError :: StateT s m a -> (e -> StateT s m a) -> StateT s m a

MonadTrans (StateT s)

Defined in Control.Monad.Trans.State.Strict

Methods

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

Monad m => Monad (StateT s m)

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

Functor m => Functor (StateT s m)

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)

Defined in Control.Monad.Trans.State.Strict

Methods

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

MonadFail m => MonadFail (StateT s m)

Defined in Control.Monad.Trans.State.Strict

Methods

fail :: String -> StateT s m a

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

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

Contravariant m => Contravariant (StateT s m)

Defined in Control.Monad.Trans.State.Strict

Methods

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

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

MonadIO m => MonadIO (StateT s m)

Defined in Control.Monad.Trans.State.Strict

Methods

liftIO :: IO a -> StateT s m a

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

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)

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

MonadThrow m => MonadThrow (StateT s m)

Defined in Control.Monad.Catch

Methods

throwM :: Exception e => e -> StateT s m a

MonadCatch m => MonadCatch (StateT s m)

Defined in Control.Monad.Catch

Methods

catch :: Exception e => StateT s m a -> (e -> StateT s m a) -> StateT s m a

MonadMask m => MonadMask (StateT s m)

Defined in Control.Monad.Catch

Methods

mask :: ((forall a. StateT s m a -> StateT s m a) -> StateT s m b) -> StateT s m b

uninterruptibleMask :: ((forall a. StateT s m a -> StateT s m a) -> StateT s m b) -> StateT s m b

generalBracket :: StateT s m a -> (a -> ExitCase b -> StateT s m c) -> (a -> StateT s m b) -> StateT s m (b, c)

Monad z => Zoom (StateT s z) (StateT t z) s t

Defined in Control.Lens.Zoom

Methods

zoom :: LensLike' (Zoomed (StateT s z) c) t s -> StateT s z c -> StateT t z c

Monad z => Zoom (StateT s z) (StateT t z) s t

Defined in Lens.Micro.Mtl.Internal

Methods

zoom :: LensLike' (Zoomed (StateT s z) c) t s -> StateT s z c -> StateT t z c

Wrapped (StateT s m a)

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (StateT s m a)

Methods

_Wrapped' :: Iso' (StateT s m a) (Unwrapped (StateT s m a))

t ~ StateT s' m' a' => Rewrapped (StateT s m a) t

Defined in Control.Lens.Wrapped

type Zoomed (StateT s z)

Defined in Control.Lens.Zoom

type Zoomed (StateT s z) = Focusing z

type Zoomed (StateT s z)

Defined in Lens.Micro.Mtl.Internal

type Zoomed (StateT s z) = Focusing z

type Unwrapped (StateT s m a)

Defined in Control.Lens.Wrapped

type Unwrapped (StateT s m a) = s -> m (a, s)

type State s = StateT s Identity

A state monad parameterized by the type s of the state to carry.

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

data Vector a

Boxed vectors, supporting efficient slicing.

Instances

Monad Vector

Defined in Data.Vector

Methods

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

(>>) :: Vector a -> Vector b -> Vector b

return :: a -> Vector a

Functor Vector

Defined in Data.Vector

Methods

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

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

MonadFail Vector

Since: vector-0.12.1.0

Defined in Data.Vector

Methods

fail :: String -> Vector a

Applicative Vector

Defined in Data.Vector

Methods

pure :: a -> Vector a

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

liftA2 :: (a -> b -> c) -> Vector a -> Vector b -> Vector c

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

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

Foldable Vector

Defined in Data.Vector

Methods

fold :: Monoid m => Vector m -> m

foldMap :: Monoid m => (a -> m) -> Vector a -> m

foldMap' :: Monoid m => (a -> m) -> Vector a -> m

foldr :: (a -> b -> b) -> b -> Vector a -> b

foldr' :: (a -> b -> b) -> b -> Vector a -> b

foldl :: (b -> a -> b) -> b -> Vector a -> b

foldl' :: (b -> a -> b) -> b -> Vector a -> b

foldr1 :: (a -> a -> a) -> Vector a -> a

foldl1 :: (a -> a -> a) -> Vector a -> a

toList :: Vector a -> [a]

null :: Vector a -> Bool

length :: Vector a -> Int

elem :: Eq a => a -> Vector a -> Bool

maximum :: Ord a => Vector a -> a

minimum :: Ord a => Vector a -> a

sum :: Num a => Vector a -> a

product :: Num a => Vector a -> a

Traversable Vector

Defined in Data.Vector

Methods

traverse :: Applicative f => (a -> f b) -> Vector a -> f (Vector b)

sequenceA :: Applicative f => Vector (f a) -> f (Vector a)

mapM :: Monad m => (a -> m b) -> Vector a -> m (Vector b)

sequence :: Monad m => Vector (m a) -> m (Vector a)

Eq1 Vector

Defined in Data.Vector

Methods

liftEq :: (a -> b -> Bool) -> Vector a -> Vector b -> Bool

Ord1 Vector

Defined in Data.Vector

Methods

liftCompare :: (a -> b -> Ordering) -> Vector a -> Vector b -> Ordering

Read1 Vector

Defined in Data.Vector

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Vector a)

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Vector a]

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Vector a)

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Vector a]

Show1 Vector

Defined in Data.Vector

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Vector a -> ShowS

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Vector a] -> ShowS

MonadZip Vector

Defined in Data.Vector

Methods

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

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

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

Alternative Vector

Defined in Data.Vector

Methods

empty :: Vector a

(<|>) :: Vector a -> Vector a -> Vector a

some :: Vector a -> Vector [a]

many :: Vector a -> Vector [a]

MonadPlus Vector

Defined in Data.Vector

Methods

mzero :: Vector a

mplus :: Vector a -> Vector a -> Vector a

NFData1 Vector

Since: vector-0.12.1.0

Defined in Data.Vector

Methods

liftRnf :: (a -> ()) -> Vector a -> ()

Vector Vector a

Defined in Data.Vector

Methods

basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) a -> m (Vector a)

basicUnsafeThaw :: PrimMonad m => Vector a -> m (Mutable Vector (PrimState m) a)

basicLength :: Vector a -> Int

basicUnsafeSlice :: Int -> Int -> Vector a -> Vector a

basicUnsafeIndexM :: Monad m => Vector a -> Int -> m a

basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) a -> Vector a -> m ()

elemseq :: Vector a -> a -> b -> b

IsList (Vector a)

Defined in Data.Vector

Associated Types

type Item (Vector a)

Methods

fromList :: [Item (Vector a)] -> Vector a

fromListN :: Int -> [Item (Vector a)] -> Vector a

toList :: Vector a -> [Item (Vector a)]

Eq a => Eq (Vector a)

Defined in Data.Vector

Methods

(==) :: Vector a -> Vector a -> Bool

(/=) :: Vector a -> Vector a -> Bool

Data a => Data (Vector a)

Defined in Data.Vector

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Vector a -> c (Vector a)

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Vector a)

toConstr :: Vector a -> Constr

dataTypeOf :: Vector a -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Vector a))

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Vector a))

gmapT :: (forall b. Data b => b -> b) -> Vector a -> Vector a

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Vector a -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Vector a -> r

gmapQ :: (forall d. Data d => d -> u) -> Vector a -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> Vector a -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Vector a -> m (Vector a)

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Vector a -> m (Vector a)

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Vector a -> m (Vector a)

Ord a => Ord (Vector a)

Defined in Data.Vector

Methods

compare :: Vector a -> Vector a -> Ordering

(<) :: Vector a -> Vector a -> Bool

(<=) :: Vector a -> Vector a -> Bool

(>) :: Vector a -> Vector a -> Bool

(>=) :: Vector a -> Vector a -> Bool

max :: Vector a -> Vector a -> Vector a

min :: Vector a -> Vector a -> Vector a

Read a => Read (Vector a)

Defined in Data.Vector

Methods

readsPrec :: Int -> ReadS (Vector a)

readList :: ReadS [Vector a]

readPrec :: ReadPrec (Vector a)

readListPrec :: ReadPrec [Vector a]

Show a => Show (Vector a)

Defined in Data.Vector

Methods

showsPrec :: Int -> Vector a -> ShowS

show :: Vector a -> String

showList :: [Vector a] -> ShowS

Semigroup (Vector a)

Defined in Data.Vector

Methods

(<>) :: Vector a -> Vector a -> Vector a

sconcat :: NonEmpty (Vector a) -> Vector a

stimes :: Integral b => b -> Vector a -> Vector a

Monoid (Vector a)

Defined in Data.Vector

Methods

mempty :: Vector a

mappend :: Vector a -> Vector a -> Vector a

mconcat :: [Vector a] -> Vector a

NFData a => NFData (Vector a)

Defined in Data.Vector

Methods

rnf :: Vector a -> ()

Ixed (Vector a)

Defined in Control.Lens.At

Methods

ix :: Index (Vector a) -> Traversal' (Vector a) (IxValue (Vector a))

Wrapped (Vector a)

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (Vector a)

Methods

_Wrapped' :: Iso' (Vector a) (Unwrapped (Vector a))

Container (Vector a)

Defined in Universum.Container.Class

Associated Types

type Element (Vector a)

Methods

toList :: Vector a -> [Element (Vector a)]

null :: Vector a -> Bool

foldr :: (Element (Vector a) -> b -> b) -> b -> Vector a -> b

foldl :: (b -> Element (Vector a) -> b) -> b -> Vector a -> b

foldl' :: (b -> Element (Vector a) -> b) -> b -> Vector a -> b

length :: Vector a -> Int

elem :: Element (Vector a) -> Vector a -> Bool

maximum :: Vector a -> Element (Vector a)

minimum :: Vector a -> Element (Vector a)

foldMap :: Monoid m => (Element (Vector a) -> m) -> Vector a -> m

fold :: Vector a -> Element (Vector a)

foldr' :: (Element (Vector a) -> b -> b) -> b -> Vector a -> b

foldr1 :: (Element (Vector a) -> Element (Vector a) -> Element (Vector a)) -> Vector a -> Element (Vector a)

foldl1 :: (Element (Vector a) -> Element (Vector a) -> Element (Vector a)) -> Vector a -> Element (Vector a)

notElem :: Element (Vector a) -> Vector a -> Bool

all :: (Element (Vector a) -> Bool) -> Vector a -> Bool

any :: (Element (Vector a) -> Bool) -> Vector a -> Bool

and :: Vector a -> Bool

or :: Vector a -> Bool

find :: (Element (Vector a) -> Bool) -> Vector a -> Maybe (Element (Vector a))

safeHead :: Vector a -> Maybe (Element (Vector a))

One (Vector a)

Defined in Universum.Container.Class

Associated Types

type OneItem (Vector a)

Methods

one :: OneItem (Vector a) -> Vector a

t ~ Vector a' => Rewrapped (Vector a) t

Defined in Control.Lens.Wrapped

type Mutable Vector

Defined in Data.Vector

type Mutable Vector = MVector

type Item (Vector a)

Defined in Data.Vector

type Item (Vector a) = a

type Index (Vector a)

Defined in Control.Lens.At

type Index (Vector a) = Int

type IxValue (Vector a)

Defined in Control.Lens.At

type IxValue (Vector a) = a

type Unwrapped (Vector a)

Defined in Control.Lens.Wrapped

type Unwrapped (Vector a) = [a]

type Element (Vector a)

Defined in Universum.Container.Class

type Element (Vector a) = ElementDefault (Vector a)

type OneItem (Vector a)

Defined in Universum.Container.Class

type OneItem (Vector a) = a

data Text

A space efficient, packed, unboxed Unicode text type.

Instances

Hashable Text

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Text -> Int

hash :: Text -> Int

Ixed Text

Defined in Control.Lens.At

Methods

ix :: Index Text -> Traversal' Text (IxValue Text)

ToText Text

Defined in Universum.String.Conversion

Methods

toText :: Text -> Text

ToLText Text

Defined in Universum.String.Conversion

Methods

toLText :: Text -> Text0

ToString Text

Defined in Universum.String.Conversion

Methods

toString :: Text -> String

Print Text

Defined in Universum.Print.Internal

Methods

hPutStr :: Handle -> Text -> IO ()

hPutStrLn :: Handle -> Text -> IO ()

Container Text

Defined in Universum.Container.Class

Associated Types

type Element Text

Methods

toList :: Text -> [Element Text]

null :: Text -> Bool

foldr :: (Element Text -> b -> b) -> b -> Text -> b

foldl :: (b -> Element Text -> b) -> b -> Text -> b

foldl' :: (b -> Element Text -> b) -> b -> Text -> b

length :: Text -> Int

elem :: Element Text -> Text -> Bool

maximum :: Text -> Element Text

minimum :: Text -> Element Text

foldMap :: Monoid m => (Element Text -> m) -> Text -> m

fold :: Text -> Element Text

foldr' :: (Element Text -> b -> b) -> b -> Text -> b

foldr1 :: (Element Text -> Element Text -> Element Text) -> Text -> Element Text

foldl1 :: (Element Text -> Element Text -> Element Text) -> Text -> Element Text

notElem :: Element Text -> Text -> Bool

all :: (Element Text -> Bool) -> Text -> Bool

any :: (Element Text -> Bool) -> Text -> Bool

and :: Text -> Bool

or :: Text -> Bool

find :: (Element Text -> Bool) -> Text -> Maybe (Element Text)

safeHead :: Text -> Maybe (Element Text)

One Text

Defined in Universum.Container.Class

Associated Types

type OneItem Text

Methods

one :: OneItem Text -> Text

ConvertUtf8 Text ByteString

Defined in Universum.String.Conversion

Methods

encodeUtf8 :: Text -> ByteString

decodeUtf8 :: ByteString -> Text

decodeUtf8Strict :: ByteString -> Either UnicodeException Text

ConvertUtf8 Text ByteString

Defined in Universum.String.Conversion

Methods

encodeUtf8 :: Text -> ByteString

decodeUtf8 :: ByteString -> Text

decodeUtf8Strict :: ByteString -> Either UnicodeException Text

type Item Text

Defined in Data.Text

type Item Text = Char

type Index Text

Defined in Control.Lens.At

type Index Text = Int

type IxValue Text

Defined in Control.Lens.At

type IxValue Text = Char

type Element Text

Defined in Universum.Container.Class

type Element Text = Char

type OneItem Text

Defined in Universum.Container.Class

type OneItem Text = Char

type Reader r = ReaderT r Identity

The parameterizable reader monad.

Computations are functions of a shared environment.

The return function ignores the environment, while >>= passes the inherited environment to both subcomputations.

gets :: MonadState s m => (s -> a) -> m a

Gets specific component of the state, using a projection function supplied.

modify :: MonadState s m => (s -> s) -> m ()

Monadic state transformer.

Maps an old state to a new state inside a state monad. The old state is thrown away.

     Main> :t modify ((+1) :: Int -> Int)
     modify (...) :: (MonadState Int a) => a ()

This says that modify (+1) acts over any Monad that is a member of the MonadState class, with an Int state.

asks

Arguments

:: MonadReader r m

=> (r -> a)

The selector function to apply to the environment.

-> m a

Retrieves a function of the current environment.

newtype ReaderT r (m :: Type -> Type) a

The reader monad transformer, which adds a read-only environment to the given monad.

The return function ignores the environment, while >>= passes the inherited environment to both subcomputations.

Constructors

ReaderT

Fields

• runReaderT :: r -> m a

Instances

Monad m => MonadReader r (ReaderT r m)

Defined in Control.Monad.Reader.Class

Methods

ask :: ReaderT r m r

local :: (r -> r) -> ReaderT r m a -> ReaderT r m a

reader :: (r -> a) -> ReaderT r m a

MonadState s m => MonadState s (ReaderT r m)

Defined in Control.Monad.State.Class

Methods

get :: ReaderT r m s

put :: s -> ReaderT r m ()

state :: (s -> (a, s)) -> ReaderT r m a

MonadError e m => MonadError e (ReaderT r m)

Defined in Control.Monad.Error.Class

Methods

throwError :: e -> ReaderT r m a

catchError :: ReaderT r m a -> (e -> ReaderT r m a) -> ReaderT r m a

MonadTrans (ReaderT r)

Defined in Control.Monad.Trans.Reader

Methods

lift :: Monad m => m a -> ReaderT r m a

Monad m => Monad (ReaderT r m)

Defined in Control.Monad.Trans.Reader

Methods

(>>=) :: ReaderT r m a -> (a -> ReaderT r m b) -> ReaderT r m b

(>>) :: ReaderT r m a -> ReaderT r m b -> ReaderT r m b

return :: a -> ReaderT r m a

Functor m => Functor (ReaderT r m)

Defined in Control.Monad.Trans.Reader

Methods

fmap :: (a -> b) -> ReaderT r m a -> ReaderT r m b

(<$) :: a -> ReaderT r m b -> ReaderT r m a

MonadFix m => MonadFix (ReaderT r m)

Defined in Control.Monad.Trans.Reader

Methods

mfix :: (a -> ReaderT r m a) -> ReaderT r m a

MonadFail m => MonadFail (ReaderT r m)

Defined in Control.Monad.Trans.Reader

Methods

fail :: String -> ReaderT r m a

Applicative m => Applicative (ReaderT r m)

Defined in Control.Monad.Trans.Reader

Methods

pure :: a -> ReaderT r m a

(<*>) :: ReaderT r m (a -> b) -> ReaderT r m a -> ReaderT r m b

liftA2 :: (a -> b -> c) -> ReaderT r m a -> ReaderT r m b -> ReaderT r m c

(*>) :: ReaderT r m a -> ReaderT r m b -> ReaderT r m b

(<*) :: ReaderT r m a -> ReaderT r m b -> ReaderT r m a

Contravariant m => Contravariant (ReaderT r m)

Defined in Control.Monad.Trans.Reader

Methods

contramap :: (a -> b) -> ReaderT r m b -> ReaderT r m a

(>$) :: b -> ReaderT r m b -> ReaderT r m a

Representable m => Representable (ReaderT e m)

Defined in Data.Functor.Rep

Associated Types

type Rep (ReaderT e m)

Methods

tabulate :: (Rep (ReaderT e m) -> a) -> ReaderT e m a

index :: ReaderT e m a -> Rep (ReaderT e m) -> a

MonadZip m => MonadZip (ReaderT r m)

Defined in Control.Monad.Trans.Reader

Methods

mzip :: ReaderT r m a -> ReaderT r m b -> ReaderT r m (a, b)

mzipWith :: (a -> b -> c) -> ReaderT r m a -> ReaderT r m b -> ReaderT r m c

munzip :: ReaderT r m (a, b) -> (ReaderT r m a, ReaderT r m b)

MonadIO m => MonadIO (ReaderT r m)

Defined in Control.Monad.Trans.Reader

Methods

liftIO :: IO a -> ReaderT r m a

Alternative m => Alternative (ReaderT r m)

Defined in Control.Monad.Trans.Reader

Methods

empty :: ReaderT r m a

(<|>) :: ReaderT r m a -> ReaderT r m a -> ReaderT r m a

some :: ReaderT r m a -> ReaderT r m [a]

many :: ReaderT r m a -> ReaderT r m [a]

MonadPlus m => MonadPlus (ReaderT r m)

Defined in Control.Monad.Trans.Reader

Methods

mzero :: ReaderT r m a

mplus :: ReaderT r m a -> ReaderT r m a -> ReaderT r m a

MonadThrow m => MonadThrow (ReaderT r m)

Defined in Control.Monad.Catch

Methods

throwM :: Exception e => e -> ReaderT r m a

MonadCatch m => MonadCatch (ReaderT r m)

Defined in Control.Monad.Catch

Methods

catch :: Exception e => ReaderT r m a -> (e -> ReaderT r m a) -> ReaderT r m a

MonadMask m => MonadMask (ReaderT r m)

Defined in Control.Monad.Catch

Methods

mask :: ((forall a. ReaderT r m a -> ReaderT r m a) -> ReaderT r m b) -> ReaderT r m b

uninterruptibleMask :: ((forall a. ReaderT r m a -> ReaderT r m a) -> ReaderT r m b) -> ReaderT r m b

generalBracket :: ReaderT r m a -> (a -> ExitCase b -> ReaderT r m c) -> (a -> ReaderT r m b) -> ReaderT r m (b, c)

Zoom m n s t => Zoom (ReaderT e m) (ReaderT e n) s t

Defined in Control.Lens.Zoom

Methods

zoom :: LensLike' (Zoomed (ReaderT e m) c) t s -> ReaderT e m c -> ReaderT e n c

Monad m => Magnify (ReaderT b m) (ReaderT a m) b a

Defined in Control.Lens.Zoom

Methods

magnify :: ((Functor (Magnified (ReaderT b m) c), Contravariant (Magnified (ReaderT b m) c)) => LensLike' (Magnified (ReaderT b m) c) a b) -> ReaderT b m c -> ReaderT a m c

Zoom m n s t => Zoom (ReaderT e m) (ReaderT e n) s t

Defined in Lens.Micro.Mtl.Internal

Methods

zoom :: LensLike' (Zoomed (ReaderT e m) c) t s -> ReaderT e m c -> ReaderT e n c

Monad m => Magnify (ReaderT b m) (ReaderT a m) b a

Defined in Lens.Micro.Mtl.Internal

Methods

magnify :: LensLike' (Magnified (ReaderT b m) c) a b -> ReaderT b m c -> ReaderT a m c

Wrapped (ReaderT r m a)

Defined in Control.Lens.Wrapped

Associated Types

type Unwrapped (ReaderT r m a)

Methods

_Wrapped' :: Iso' (ReaderT r m a) (Unwrapped (ReaderT r m a))

t ~ ReaderT s n b => Rewrapped (ReaderT r m a) t

Defined in Control.Lens.Wrapped

type Rep (ReaderT e m)

Defined in Data.Functor.Rep

type Rep (ReaderT e m) = (e, Rep m)

type Zoomed (ReaderT e m)

Defined in Control.Lens.Zoom

type Zoomed (ReaderT e m) = Zoomed m

type Magnified (ReaderT b m)

Defined in Control.Lens.Zoom

type Magnified (ReaderT b m) = Effect m

type Zoomed (ReaderT e m)

Defined in Lens.Micro.Mtl.Internal

type Zoomed (ReaderT e m) = Zoomed m

type Magnified (ReaderT b m)

Defined in Lens.Micro.Mtl.Internal

type Magnified (ReaderT b m) = Effect m

type Unwrapped (ReaderT r m a)

Defined in Control.Lens.Wrapped

type Unwrapped (ReaderT r m a) = r -> m a

class MonadTrans (t :: (Type -> Type) -> Type -> Type) where

The class of monad transformers. Instances should satisfy the following laws, which state that lift is a monad transformation:

• lift . return = return

• lift (m >>= f) = lift m >>= (lift . f)

Methods

lift :: Monad m => m a -> t m a

Lift a computation from the argument monad to the constructed monad.

Instances

MonadTrans MaybeT

Defined in Control.Monad.Trans.Maybe

Methods

lift :: Monad m => m a -> MaybeT m a

MonadTrans Free

This is not a true monad transformer. It is only a monad transformer "up to retract".

Defined in Control.Monad.Free

Methods

lift :: Monad m => m a -> Free m a

MonadTrans Yoneda

Defined in Data.Functor.Yoneda

Methods

lift :: Monad m => m a -> Yoneda m a

MonadTrans (IdentityT :: (Type -> Type) -> Type -> Type)

Defined in Control.Monad.Trans.Identity

Methods

lift :: Monad m => m a -> IdentityT m a

MonadTrans (ExceptT e)

Defined in Control.Monad.Trans.Except

Methods

lift :: Monad m => m a -> ExceptT e m a

MonadTrans (FreeT f)

Defined in Control.Monad.Trans.Free

Methods

lift :: Monad m => m a -> FreeT f m a

Alternative f => MonadTrans (CofreeT f)

Defined in Control.Comonad.Trans.Cofree

Methods

lift :: Monad m => m a -> CofreeT f m a

MonadTrans (ErrorT e)

Defined in Control.Monad.Trans.Error

Methods

lift :: Monad m => m a -> ErrorT e m a

MonadTrans (StateT s)

Defined in Control.Monad.Trans.State.Strict

Methods

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

MonadTrans (ReaderT r)

Defined in Control.Monad.Trans.Reader

Methods

lift :: Monad m => m a -> ReaderT r m a

modify' :: MonadState s m => (s -> s) -> m ()

A variant of modify in which the computation is strict in the new state.

Since: mtl-2.2

runExceptT :: ExceptT e m a -> m (Either e a)

The inverse of ExceptT.

runReader

Arguments

:: Reader r a

A Reader to run.

-> r

An initial environment.

-> a

Runs a Reader and extracts the final value from it. (The inverse of reader.)

runState

Arguments

:: State s a

state-passing computation to execute

-> s

initial state

-> (a, s)

return value and final state

Unwrap a state monad computation as a function. (The inverse of state.)

evalState

Arguments

:: State s a

state-passing computation to execute

-> s

initial value

-> a

return value of the state computation

Evaluate a state computation with the given initial state and return the final value, discarding the final state.

• evalState m s = fst (runState m s)

execState

Arguments

:: State s a

state-passing computation to execute

-> s

initial value

-> s

final state

Evaluate a state computation with the given initial state and return the final state, discarding the final value.

• execState m s = snd (runState m s)

withState :: (s -> s) -> State s a -> State s a

withState f m executes action m on a state modified by applying f.

• withState f m = modify f >> m

evalStateT :: Monad m => StateT s m a -> s -> m a

Evaluate a state computation with the given initial state and return the final value, discarding the final state.

• evalStateT m s = liftM fst (runStateT m s)

execStateT :: Monad m => StateT s m a -> s -> m s

Evaluate a state computation with the given initial state and return the final state, discarding the final value.

• execStateT m s = liftM snd (runStateT m s)

bracketOnError :: MonadMask m => m a -> (a -> m b) -> (a -> m c) -> m c

Async safe version of bracketOnError

Since: safe-exceptions-0.1.0.0

finally :: MonadMask m => m a -> m b -> m a

Async safe version of finally

Since: safe-exceptions-0.1.0.0

bracket_ :: MonadMask m => m a -> m b -> m c -> m c

Async safe version of bracket_

Since: safe-exceptions-0.1.0.0

bracket :: MonadMask m => m a -> (a -> m b) -> (a -> m c) -> m c

Async safe version of bracket

Since: safe-exceptions-0.1.0.0

onException :: MonadMask m => m a -> m b -> m a

Async safe version of onException

Since: safe-exceptions-0.1.0.0

tryAny :: MonadCatch m => m a -> m (Either SomeException a)

try specialized to catch all synchronous exceptions

Since: safe-exceptions-0.1.0.0

try :: (MonadCatch m, Exception e) => m a -> m (Either e a)

Same as upstream try, but will not catch asynchronous exceptions

Since: safe-exceptions-0.1.0.0

handleAny :: MonadCatch m => (SomeException -> m a) -> m a -> m a

Flipped version of catchAny

Since: safe-exceptions-0.1.0.0

catchAny :: MonadCatch m => m a -> (SomeException -> m a) -> m a

catch specialized to catch all synchronous exception

Since: safe-exceptions-0.1.0.0

catch :: (MonadCatch m, Exception e) => m a -> (e -> m a) -> m a

Same as upstream catch, but will not catch asynchronous exceptions

Since: safe-exceptions-0.1.0.0

throwM :: (MonadThrow m, Exception e) => e -> m a

Synonym for throw

Since: safe-exceptions-0.1.0.0

modifyTVar' :: TVar a -> (a -> a) -> STM ()

Strict version of modifyTVar.

Since: stm-2.3

fromStrict :: Text -> Text

O(c) Convert a strict Text into a lazy Text.

unwords :: [Text] -> Text

O(n) Joins words using single space characters.

unlines :: [Text] -> Text

O(n) Joins lines, after appending a terminating newline to each.

lines :: Text -> [Text]

O(n) Breaks a Text up into a list of Texts at newline Chars. The resulting strings do not contain newlines.

words :: Text -> [Text]

O(n) Breaks a Text up into a list of words, delimited by Chars representing white space.

decodeUtf8' :: ByteString -> Either UnicodeException Text

Decode a ByteString containing UTF-8 encoded text.

If the input contains any invalid UTF-8 data, the relevant exception will be returned, otherwise the decoded text.

decodeUtf8With :: OnDecodeError -> ByteString -> Text

Decode a ByteString containing UTF-8 encoded text.

NOTE: The replacement character returned by OnDecodeError MUST be within the BMP plane; surrogate code points will automatically be remapped to the replacement char U+FFFD (since 0.11.3.0), whereas code points beyond the BMP will throw an error (since 1.2.3.1); For earlier versions of text using those unsupported code points would result in undefined behavior.

lenientDecode :: OnDecodeError

Replace an invalid input byte with the Unicode replacement character U+FFFD.

strictDecode :: OnDecodeError

Throw a UnicodeException if decoding fails.

type OnError a b = String -> Maybe a -> Maybe b

Function type for handling a coding error. It is supplied with two inputs:

• A String that describes the error.
• The input value that caused the error. If the error arose because the end of input was reached or could not be identified precisely, this value will be Nothing.

If the handler returns a value wrapped with Just, that value will be used in the output as the replacement for the invalid input. If it returns Nothing, no value will be used in the output.

Should the handler need to abort processing, it should use error or throw an exception (preferably a UnicodeException). It may use the description provided to construct a more helpful error report.

type OnDecodeError = OnError Word8 Char

A handler for a decoding error.

data UnicodeException

An exception type for representing Unicode encoding errors.

Instances

Eq UnicodeException

Defined in Data.Text.Encoding.Error

Methods

(==) :: UnicodeException -> UnicodeException -> Bool

(/=) :: UnicodeException -> UnicodeException -> Bool

Show UnicodeException

Defined in Data.Text.Encoding.Error

Methods

showsPrec :: Int -> UnicodeException -> ShowS

show :: UnicodeException -> String

showList :: [UnicodeException] -> ShowS

Exception UnicodeException

Defined in Data.Text.Encoding.Error

Methods

toException :: UnicodeException -> SomeException

fromException :: SomeException -> Maybe UnicodeException

displayException :: UnicodeException -> String

NFData UnicodeException

Defined in Data.Text.Encoding.Error

Methods

rnf :: UnicodeException -> ()

exceptToMaybeT :: forall (m :: Type -> Type) e a. Functor m => ExceptT e m a -> MaybeT m a

Convert a ExceptT computation to MaybeT, discarding the value of any exception.

maybeToExceptT :: forall (m :: Type -> Type) e a. Functor m => e -> MaybeT m a -> ExceptT e m a

Convert a MaybeT computation to ExceptT, with a default exception value.

class SuperComposition a b c | a b -> c where

This type class allows to implement variadic composition operator.

Methods

(...) :: a -> b -> c infixl 8

Allows to apply function to result of another function with multiple arguments.

>>> (show ... (+)) 1 2
"3"
>>> show ... 5
"5"
>>> (null ... zip5) [1] [2] [3] [] [5]
True

Inspired by http://stackoverflow.com/questions/9656797/variadic-compose-function.

Performance

To check the performance there was done a bunch of benchmarks. Benchmarks were made on examples given above and also on the functions of many arguments. The results are showing that the operator (...) performs as fast as plain applications of the operator (.) on almost all the tests, but (...) leads to the performance draw-down if ghc fails to inline it. Slow behavior was noticed on functions without type specifications. That's why keep in mind that providing explicit type declarations for functions is very important when using (...). Relying on type inference will lead to the situation when all optimizations disappear due to very general inferred type. However, functions without type specification but with applied INLINE pragma are fast again.

Instances

(a ~ c, r ~ b) => SuperComposition (a -> b) c r

Defined in Universum.VarArg

Methods

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

(SuperComposition (a -> b) d r1, r ~ (c -> r1)) => SuperComposition (a -> b) (c -> d) r

Defined in Universum.VarArg

Methods

(...) :: (a -> b) -> (c -> d) -> r

type ($) (f :: k1 -> k) (a :: k1) = f a infixr 2

Infix application.

f :: Either String $ Maybe Int
=
f :: Either String (Maybe Int)

type family Each (c :: [k -> Constraint]) (as :: [k]) where ...

Map several constraints over several variables.

f :: Each [Show, Read] [a, b] => a -> b -> String
=
f :: (Show a, Show b, Read a, Read b) => a -> b -> String

To specify list with single constraint / variable, don't forget to prefix it with ':

f :: Each '[Show] [a, b] => a -> b -> String

Equations

Each (c :: [k -> Constraint]) ('[] :: [k]) = ()

Each (c :: [k -> Constraint]) (h ': t :: [k]) = (c <+> h, Each c t)

type With (a :: [k -> Constraint]) (b :: k) = a <+> b

Map several constraints over a single variable. Note, that With a b ≡ Each a '[b]

a :: With [Show, Read] a => a -> a
=
a :: (Show a, Read a) => a -> a

show :: forall b a. (Show a, IsString b) => a -> b

Generalized version of show.

readEither :: (ToString a, Read b) => a -> Either Text b

Polymorhpic version of readEither.

>>> readEither @Text @Int "123"
Right 123
>>> readEither @Text @Int "aa"
Left "Prelude.read: no parse"

type LText = Text

Type synonym for Text.

type LByteString = ByteString

Type synonym for ByteString.

class ConvertUtf8 a b where

Type class for conversion to utf8 representation of text.

Methods

encodeUtf8 :: a -> b

Encode as utf8 string (usually ByteString).

>>> encodeUtf8 @Text @ByteString "патак"
"\208\191\208\176\209\130\208\176\208\186"

decodeUtf8 :: b -> a

Decode from utf8 string.

>>> decodeUtf8 @Text @ByteString "\208\191\208\176\209\130\208\176\208\186"
"\1087\1072\1090\1072\1082"
>>> putStrLn $ decodeUtf8 @Text @ByteString "\208\191\208\176\209\130\208\176\208\186"
патак

decodeUtf8Strict :: b -> Either UnicodeException a

Decode as utf8 string but returning execption if byte sequence is malformed.

>>> decodeUtf8 @Text @ByteString "\208\208\176\209\130\208\176\208\186"
"\65533\1072\1090\1072\1082"

>>> decodeUtf8Strict @Text @ByteString "\208\208\176\209\130\208\176\208\186"
Left Cannot decode byte '\xd0': Data.Text.Internal.Encoding.decodeUtf8: Invalid UTF-8 stream

Instances

ConvertUtf8 String ByteString

Defined in Universum.String.Conversion

Methods

encodeUtf8 :: String -> ByteString

decodeUtf8 :: ByteString -> String

decodeUtf8Strict :: ByteString -> Either UnicodeException String

ConvertUtf8 String ByteString

Defined in Universum.String.Conversion

Methods

encodeUtf8 :: String -> ByteString

decodeUtf8 :: ByteString -> String

decodeUtf8Strict :: ByteString -> Either UnicodeException String

ConvertUtf8 Text ByteString

Defined in Universum.String.Conversion

Methods

encodeUtf8 :: Text -> ByteString

decodeUtf8 :: ByteString -> Text

decodeUtf8Strict :: ByteString -> Either UnicodeException Text

ConvertUtf8 Text ByteString

Defined in Universum.String.Conversion

Methods

encodeUtf8 :: Text -> ByteString

decodeUtf8 :: ByteString -> Text

decodeUtf8Strict :: ByteString -> Either UnicodeException Text

ConvertUtf8 Text ByteString

Defined in Universum.String.Conversion

Methods

encodeUtf8 :: Text -> ByteString

decodeUtf8 :: ByteString -> Text

decodeUtf8Strict :: ByteString -> Either UnicodeException Text

ConvertUtf8 Text ByteString

Defined in Universum.String.Conversion

Methods

encodeUtf8 :: Text -> ByteString

decodeUtf8 :: ByteString -> Text

decodeUtf8Strict :: ByteString -> Either UnicodeException Text

class ToText a where

Type class for converting other strings to Text.

Methods

toText :: a -> Text

Instances

ToText String

Defined in Universum.String.Conversion

Methods

toText :: String -> Text

ToText Text

Defined in Universum.String.Conversion

Methods

toText :: Text -> Text0

ToText Text

Defined in Universum.String.Conversion

Methods

toText :: Text -> Text

class ToLText a where

Type class for converting other strings to Text.

Methods

toLText :: a -> Text

Instances

ToLText String

Defined in Universum.String.Conversion

Methods

toLText :: String -> Text

ToLText Text

Defined in Universum.String.Conversion

Methods

toLText :: Text -> Text

ToLText Text

Defined in Universum.String.Conversion

Methods

toLText :: Text -> Text0

class ToString a where

Type class for converting other strings to String.

Methods

toString :: a -> String

Instances

ToString String

Defined in Universum.String.Conversion

Methods

toString :: String -> String

ToString Text

Defined in Universum.String.Conversion

Methods

toString :: Text -> String

ToString Text

Defined in Universum.String.Conversion

Methods

toString :: Text -> String

undefined :: forall (r :: RuntimeRep) (a :: TYPE r). HasCallStack => a

undefined that leaves a warning in code on every usage.

traceId :: Text -> Text

Version of traceId that leaves a warning.

traceM :: Monad m => Text -> m ()

Version of traceM that leaves a warning and takes Text.

traceShowM :: (Show a, Monad m) => a -> m ()

Version of traceShowM that leaves a warning.

traceShowIdWith :: Show s => (a -> s) -> a -> a

Version of traceShowId that leaves a warning. Useful to tag printed data, for instance:

traceShowIdWith ("My data: ", ) (veryLargeExpression)

traceIdWith :: (a -> Text) -> a -> a

Version of traceId that leaves a warning. Useful to tag printed data, for instance:

traceIdWith (x -> "My data: " <> show x) (veryLargeExpression)

This is especially useful with custom formatters:

traceIdWith (x -> "My data: " <> pretty x) (veryLargeExpression)

traceShowId :: Show a => a -> a

Version of traceShowId that leaves a warning.

traceShow :: Show a => a -> b -> b

Version of traceShow that leaves a warning.

error :: forall (r :: RuntimeRep) (a :: TYPE r). HasCallStack => Text -> a

error that takes Text as an argument.

trace :: Text -> a -> a

Version of trace that leaves a warning and takes Text.

data Undefined

Similar to undefined but data type.

Constructors

Undefined

Instances

Bounded Undefined

Defined in Universum.Debug

Methods

minBound :: Undefined

maxBound :: Undefined

Enum Undefined

Defined in Universum.Debug

Methods

succ :: Undefined -> Undefined

pred :: Undefined -> Undefined

toEnum :: Int -> Undefined

fromEnum :: Undefined -> Int

enumFrom :: Undefined -> [Undefined]

enumFromThen :: Undefined -> Undefined -> [Undefined]

enumFromTo :: Undefined -> Undefined -> [Undefined]

enumFromThenTo :: Undefined -> Undefined -> Undefined -> [Undefined]

Eq Undefined

Defined in Universum.Debug

Methods

(==) :: Undefined -> Undefined -> Bool

(/=) :: Undefined -> Undefined -> Bool

Data Undefined

Defined in Universum.Debug

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Undefined -> c Undefined

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Undefined

toConstr :: Undefined -> Constr

dataTypeOf :: Undefined -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Undefined)

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Undefined)

gmapT :: (forall b. Data b => b -> b) -> Undefined -> Undefined

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Undefined -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Undefined -> r

gmapQ :: (forall d. Data d => d -> u) -> Undefined -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> Undefined -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Undefined -> m Undefined

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Undefined -> m Undefined

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Undefined -> m Undefined

Ord Undefined

Defined in Universum.Debug

Methods

compare :: Undefined -> Undefined -> Ordering

(<) :: Undefined -> Undefined -> Bool

(<=) :: Undefined -> Undefined -> Bool

(>) :: Undefined -> Undefined -> Bool

(>=) :: Undefined -> Undefined -> Bool

max :: Undefined -> Undefined -> Undefined

min :: Undefined -> Undefined -> Undefined

Read Undefined

Defined in Universum.Debug

Methods

readsPrec :: Int -> ReadS Undefined

readList :: ReadS [Undefined]

readPrec :: ReadPrec Undefined

readListPrec :: ReadPrec [Undefined]

Show Undefined

Defined in Universum.Debug

Methods

showsPrec :: Int -> Undefined -> ShowS

show :: Undefined -> String

showList :: [Undefined] -> ShowS

Generic Undefined

Defined in Universum.Debug

Associated Types

type Rep Undefined :: Type -> Type

Methods

from :: Undefined -> Rep Undefined x

to :: Rep Undefined x -> Undefined

type Rep Undefined

Defined in Universum.Debug

type Rep Undefined = D1 ('MetaData "Undefined" "Universum.Debug" "universum-1.5.0-75c19bf9053bf3d4169c59dd9077c593976cdc9e9063e2b44fd3c7666463071e" 'False) (C1 ('MetaCons "Undefined" 'PrefixI 'False) (U1 :: Type -> Type))

putLTextLn :: MonadIO m => Text -> m ()

Specialized to Text version of putStrLn or forcing type inference.

putLText :: MonadIO m => Text -> m ()

Specialized to Text version of putStr or forcing type inference.

putTextLn :: MonadIO m => Text -> m ()

Specialized to Text version of putStrLn or forcing type inference.

putText :: MonadIO m => Text -> m ()

Specialized to Text version of putStr or forcing type inference.

hPrint :: (MonadIO m, Show a) => Handle -> a -> m ()

Lifted version of hPrint

print :: forall a m. (MonadIO m, Show a) => a -> m ()

Lifted version of print.

putStrLn :: (Print a, MonadIO m) => a -> m ()

Write a string like value to stdout appending a newline character.

putStr :: (Print a, MonadIO m) => a -> m ()

Write a string like value to stdout/.

hPutStrLn :: (Print a, MonadIO m) => Handle -> a -> m ()

Write a string like value a to a supplied Handle, appending a newline character.

hPutStr :: (Print a, MonadIO m) => Handle -> a -> m ()

Write a string like value a to a supplied Handle.

class Print a

Support class to overload writing of string like values.

Minimal complete definition

hPutStr, hPutStrLn

Instances

Print ByteString

Defined in Universum.Print.Internal

Methods

hPutStr :: Handle -> ByteString -> IO ()

hPutStrLn :: Handle -> ByteString -> IO ()

Print ByteString

Defined in Universum.Print.Internal

Methods

hPutStr :: Handle -> ByteString -> IO ()

hPutStrLn :: Handle -> ByteString -> IO ()

Print Text

Defined in Universum.Print.Internal

Methods

hPutStr :: Handle -> Text -> IO ()

hPutStrLn :: Handle -> Text -> IO ()

Print Text

Defined in Universum.Print.Internal

Methods

hPutStr :: Handle -> Text -> IO ()

hPutStrLn :: Handle -> Text -> IO ()

Print [Char]

Defined in Universum.Print.Internal

Methods

hPutStr :: Handle -> [Char] -> IO ()

hPutStrLn :: Handle -> [Char] -> IO ()

unstableNub :: (Eq a, Hashable a) => [a] -> [a]

Like hashNub but has better performance and also doesn't save the order.

>>> unstableNub [3, 3, 3, 2, 2, -1, 1]
[1,2,3,-1]

sortNub :: Ord a => [a] -> [a]

Like ordNub but also sorts a list.

>>> sortNub [3, 3, 3, 2, 2, -1, 1]
[-1,1,2,3]

hashNub :: (Eq a, Hashable a) => [a] -> [a]

Like nub but runs in O(n * log_16(n)) time and requires Hashable.

>>> hashNub [3, 3, 3, 2, 2, -1, 1]
[3,2,-1,1]

ordNub :: Ord a => [a] -> [a]

Like nub but runs in O(n * log n) time and requires Ord.

>>> ordNub [3, 3, 3, 2, 2, -1, 1]
[3,2,-1,1]

guardM :: MonadPlus m => m Bool -> m ()

Monadic version of guard. Occasionally useful. Here some complex but real-life example:

findSomePath :: IO (Maybe FilePath)

somePath :: MaybeT IO FilePath
somePath = do
    path <- MaybeT findSomePath
    guardM $ liftIO $ doesDirectoryExist path
    return path

ifM :: Monad m => m Bool -> m a -> m a -> m a

Monadic version of if-then-else.

>>> ifM (pure True) (putTextLn "True text") (putTextLn "False text")
True text

unlessM :: Monad m => m Bool -> m () -> m ()

Monadic version of unless.

>>> unlessM (pure False) $ putTextLn "No text :("
No text :(
>>> unlessM (pure True) $ putTextLn "Yes text :)"

whenM :: Monad m => m Bool -> m () -> m ()

Monadic version of when.

>>> whenM (pure False) $ putTextLn "No text :("
>>> whenM (pure True)  $ putTextLn "Yes text :)"
Yes text :)
>>> whenM (Just True) (pure ())
Just ()
>>> whenM (Just False) (pure ())
Just ()
>>> whenM Nothing (pure ())
Nothing

evaluateNF_ :: (NFData a, MonadIO m) => a -> m ()

Alias for evaluateWHNF . rnf. Similar to evaluateNF but discards resulting value.

evaluateNF :: (NFData a, MonadIO m) => a -> m a

Alias for evaluateWHNF . force with clearer name.

evaluateWHNF_ :: MonadIO m => a -> m ()

Like evaluateWNHF but discards value.

evaluateWHNF :: MonadIO m => a -> m a

Lifted alias for evaluate with clearer name.

note :: MonadError e m => e -> Maybe a -> m a

Throws error for Maybe if Nothing is given. Operates over MonadError.

bug :: (HasCallStack, Exception e) => e -> a

Generate a pure value which, when forced, will synchronously throw the exception wrapped into Bug data type.

pattern Exc :: Exception e => e -> SomeException

Pattern synonym to easy pattern matching on exceptions. So intead of writing something like this:

isNonCriticalExc e
    | Just (_ :: NodeAttackedError) <- fromException e = True
    | Just DialogUnexpected{} <- fromException e = True
    | otherwise = False

you can use Exc pattern synonym:

isNonCriticalExc = case
    Exc (_ :: NodeAttackedError) -> True  -- matching all exceptions of type NodeAttackedError
    Exc DialogUnexpected{} -> True
    _ -> False

This pattern is bidirectional. You can use Exc e instead of toException e.

data Bug

Type that represents exceptions used in cases when a particular codepath is not meant to be ever executed, but happens to be executed anyway.

Constructors

Bug SomeException CallStack

Instances

Show Bug

Defined in Universum.Exception

Methods

showsPrec :: Int -> Bug -> ShowS

show :: Bug -> String

showList :: [Bug] -> ShowS

Exception Bug

Defined in Universum.Exception

Methods

toException :: Bug -> SomeException

fromException :: SomeException -> Maybe Bug

displayException :: Bug -> String

whenNotNullM :: Monad m => m [a] -> (NonEmpty a -> m ()) -> m ()

Monadic version of whenNotNull.

whenNotNull :: Applicative f => [a] -> (NonEmpty a -> f ()) -> f ()

Performs given action over NonEmpty list if given list is non empty.

>>> whenNotNull [] $ \(b :| _) -> print (not b)
>>> whenNotNull [False,True] $ \(b :| _) -> print (not b)
True

uncons :: [a] -> Maybe (a, [a])

Destructuring list into its head and tail if possible. This function is total.

>>> uncons []
Nothing
>>> uncons [1..5]
Just (1,[2,3,4,5])
>>> uncons (5 : [1..5]) >>= \(f, l) -> pure $ f == length l
Just True

anyM :: (Container f, Monad m) => (Element f -> m Bool) -> f -> m Bool

Monadic and constrained to Container version of any.

>>> anyM (readMaybe >=> pure . even) ["5", "10"]
Just True
>>> anyM (readMaybe >=> pure . even) ["10", "aba"]
Just True
>>> anyM (readMaybe >=> pure . even) ["aba", "10"]
Nothing

allM :: (Container f, Monad m) => (Element f -> m Bool) -> f -> m Bool

Monadic and constrained to Container version of all.

>>> allM (readMaybe >=> pure . even) ["6", "10"]
Just True
>>> allM (readMaybe >=> pure . even) ["5", "aba"]
Just False
>>> allM (readMaybe >=> pure . even) ["aba", "10"]
Nothing

orM :: (Container f, Element f ~ m Bool, Monad m) => f -> m Bool

Monadic and constrained to Container version of or.

>>> orM [Just True, Just False]
Just True
>>> orM [Just True, Nothing]
Just True
>>> orM [Nothing, Just True]
Nothing

andM :: (Container f, Element f ~ m Bool, Monad m) => f -> m Bool

Monadic and constrained to Container version of and.

>>> andM [Just True, Just False]
Just False
>>> andM [Just True]
Just True
>>> andM [Just True, Just False, Nothing]
Just False
>>> andM [Just True, Nothing]
Nothing
>>> andM [putTextLn "1" >> pure True, putTextLn "2" >> pure False, putTextLn "3" >> pure True]
1
2
False

concatForM :: (Applicative f, Monoid m, Container (l m), Element (l m) ~ m, Traversable l) => l a -> (a -> f m) -> f m

Like concatMapM, but has its arguments flipped, so can be used instead of the common fmap concat $ forM pattern.

concatMapM :: (Applicative f, Monoid m, Container (l m), Element (l m) ~ m, Traversable l) => (a -> f m) -> l a -> f m

Lifting bind into a monad. Generalized version of concatMap that works with a monadic predicate. Old and simpler specialized to list version had next type:

concatMapM :: Monad m => (a -> m [b]) -> [a] -> m [b]

Side note: previously it had type

concatMapM :: (Applicative q, Monad m, Traversable m)
           => (a -> q (m b)) -> m a -> q (m b)

Such signature didn't allow to use this function when traversed container type and type of returned by function-argument differed. Now you can use it like e.g.

concatMapM readFile files >>= putTextLn

asum :: (Container t, Alternative f, Element t ~ f a) => t -> f a

Constrained to Container version of asum.

>>> asum [Nothing, Just [False, True], Nothing, Just [True]]
Just [False,True]

sequence_ :: (Container t, Monad m, Element t ~ m a) => t -> m ()

Constrained to Container version of sequence_.

>>> sequence_ [putTextLn "foo", print True]
foo
True

sequenceA_ :: (Container t, Applicative f, Element t ~ f a) => t -> f ()

Constrained to Container version of sequenceA_.

>>> sequenceA_ [putTextLn "foo", print True]
foo
True

forM_ :: (Container t, Monad m) => t -> (Element t -> m b) -> m ()

Constrained to Container version of forM_.

>>> forM_ [True, False] print
True
False

mapM_ :: (Container t, Monad m) => (Element t -> m b) -> t -> m ()

Constrained to Container version of mapM_.

>>> mapM_ print [True, False]
True
False

for_ :: (Container t, Applicative f) => t -> (Element t -> f b) -> f ()

Constrained to Container version of for_.

>>> for_ [1 .. 5 :: Int] $ \i -> when (even i) (print i)
2
4

traverse_ :: (Container t, Applicative f) => (Element t -> f b) -> t -> f ()

Constrained to Container version of traverse_.

>>> traverse_ putTextLn ["foo", "bar"]
foo
bar

product :: (Container t, Num (Element t)) => t -> Element t

Stricter version of product.

>>> product [1..10]
3628800
>>> product (Right 3)
...
    • Do not use 'Foldable' methods on Either
      Suggestions:
          Instead of
              for_ :: (Foldable t, Applicative f) => t a -> (a -> f b) -> f ()
          use
              whenJust  :: Applicative f => Maybe a    -> (a -> f ()) -> f ()
              whenRight :: Applicative f => Either l r -> (r -> f ()) -> f ()
...
          Instead of
              fold :: (Foldable t, Monoid m) => t m -> m
          use
              maybeToMonoid :: Monoid m => Maybe m -> m
...

sum :: (Container t, Num (Element t)) => t -> Element t

Stricter version of sum.

>>> sum [1..10]
55
>>> sum (Just 3)
...
    • Do not use 'Foldable' methods on Maybe
      Suggestions:
          Instead of
              for_ :: (Foldable t, Applicative f) => t a -> (a -> f b) -> f ()
          use
              whenJust  :: Applicative f => Maybe a    -> (a -> f ()) -> f ()
              whenRight :: Applicative f => Either l r -> (r -> f ()) -> f ()
...
          Instead of
              fold :: (Foldable t, Monoid m) => t m -> m
          use
              maybeToMonoid :: Monoid m => Maybe m -> m
...

flipfoldl' :: (Container t, Element t ~ a) => (a -> b -> b) -> b -> t -> b

Similar to foldl' but takes a function with its arguments flipped.

>>> flipfoldl' (/) 5 [2,3] :: Rational
15 % 2

class ToPairs t where

Type class for data types that can be converted to List of Pairs. You can define ToPairs by just defining toPairs function.

But the following laws should be met:

toPairs m ≡ zip (keys m) (elems m)
keys      ≡ map fst . toPairs
elems     ≡ map snd . toPairs

Minimal complete definition

toPairs

Methods

toPairs :: t -> [(Key t, Val t)]

Converts the structure to the list of the key-value pairs. >>> toPairs (HashMap.fromList [(a, "xxx"), (b, "yyy")]) [(a,"xxx"),(b,"yyy")]

keys :: t -> [Key t]

Converts the structure to the list of the keys.

>>> keys (HashMap.fromList [('a', "xxx"), ('b', "yyy")])
"ab"

elems :: t -> [Val t]

Converts the structure to the list of the values.

>>> elems (HashMap.fromList [('a', "xxx"), ('b', "yyy")])
["xxx","yyy"]

Instances

ToPairs (IntMap v)

Defined in Universum.Container.Class

Associated Types

type Key (IntMap v)

type Val (IntMap v)

Methods

toPairs :: IntMap v -> [(Key (IntMap v), Val (IntMap v))]

keys :: IntMap v -> [Key (IntMap v)]

elems :: IntMap v -> [Val (IntMap v)]

ToPairs (Map k v)

Defined in Universum.Container.Class

Associated Types

type Key (Map k v)

type Val (Map k v)

Methods

toPairs :: Map k v -> [(Key (Map k v), Val (Map k v))]

keys :: Map k v -> [Key (Map k v)]

elems :: Map k v -> [Val (Map k v)]

ToPairs (HashMap k v)

Defined in Universum.Container.Class

Associated Types

type Key (HashMap k v)

type Val (HashMap k v)

Methods

toPairs :: HashMap k v -> [(Key (HashMap k v), Val (HashMap k v))]

keys :: HashMap k v -> [Key (HashMap k v)]

elems :: HashMap k v -> [Val (HashMap k v)]

type family Element t

Type of element for some container. Implemented as an asscociated type family because some containers are monomorphic over element type (like Text, IntSet, etc.) so we can't implement nice interface using old higher-kinded types approach. Implementing this as an associated type family instead of top-level family gives you more control over element types.

Instances

type Element ByteString

Defined in Universum.Container.Class

type Element ByteString = Word8

type Element ByteString

Defined in Universum.Container.Class

type Element ByteString = Word8

type Element IntSet

Defined in Universum.Container.Class

type Element IntSet = Int

type Element Text

Defined in Universum.Container.Class

type Element Text = Char

type Element Text

Defined in Universum.Container.Class

type Element Text = Char

type Element [a]

Defined in Universum.Container.Class

type Element [a] = ElementDefault [a]

type Element (Maybe a)

Defined in Universum.Container.Class

type Element (Maybe a) = ElementDefault (Maybe a)

type Element (ZipList a)

Defined in Universum.Container.Class

type Element (ZipList a) = ElementDefault (ZipList a)

type Element (Identity a)

Defined in Universum.Container.Class

type Element (Identity a) = ElementDefault (Identity a)

type Element (First a)

Defined in Universum.Container.Class

type Element (First a) = ElementDefault (First a)

type Element (Last a)

Defined in Universum.Container.Class

type Element (Last a) = ElementDefault (Last a)

type Element (Dual a)

Defined in Universum.Container.Class

type Element (Dual a) = ElementDefault (Dual a)

type Element (Sum a)

Defined in Universum.Container.Class

type Element (Sum a) = ElementDefault (Sum a)

type Element (Product a)

Defined in Universum.Container.Class

type Element (Product a) = ElementDefault (Product a)

type Element (NonEmpty a)

Defined in Universum.Container.Class

type Element (NonEmpty a) = ElementDefault (NonEmpty a)

type Element (IntMap v)

Defined in Universum.Container.Class

type Element (IntMap v) = ElementDefault (IntMap v)

type Element (Seq a)

Defined in Universum.Container.Class

type Element (Seq a) = ElementDefault (Seq a)

type Element (Set v)

Defined in Universum.Container.Class

type Element (Set v) = ElementDefault (Set v)

type Element (HashSet v)

Defined in Universum.Container.Class

type Element (HashSet v) = ElementDefault (HashSet v)

type Element (Vector a)

Defined in Universum.Container.Class

type Element (Vector a) = ElementDefault (Vector a)

type Element (Either a b)

Defined in Universum.Container.Class

type Element (Either a b) = ElementDefault (Either a b)

type Element (a, b)

Defined in Universum.Container.Class

type Element (a, b) = ElementDefault (a, b)

type Element (Map k v)

Defined in Universum.Container.Class

type Element (Map k v) = ElementDefault (Map k v)

type Element (HashMap k v)

Defined in Universum.Container.Class

type Element (HashMap k v) = ElementDefault (HashMap k v)

type Element (Const a b)

Defined in Universum.Container.Class

type Element (Const a b) = ElementDefault (Const a b)

class Container t where

Very similar to Foldable but also allows instances for monomorphic types like Text but forbids instances for Maybe and similar. This class is used as a replacement for Foldable type class. It solves the following problems:

1. length, foldr and other functions work on more types for which it makes sense.
2. You can't accidentally use length on polymorphic Foldable (like list), replace list with Maybe and then debug error for two days.
3. More efficient implementaions of functions for polymorphic types (like elem for Set).

The drawbacks:

1. Type signatures of polymorphic functions look more scary.
2. Orphan instances are involved if you want to use foldr (and similar) on types from libraries.

Minimal complete definition

Nothing

Associated Types

type Element t

Type of element for some container. Implemented as an asscociated type family because some containers are monomorphic over element type (like Text, IntSet, etc.) so we can't implement nice interface using old higher-kinded types approach. Implementing this as an associated type family instead of top-level family gives you more control over element types.

type Element t = ElementDefault t

Methods

toList :: t -> [Element t]

Convert container to list of elements.

>>> toList @Text "aba"
"aba"
>>> :t toList @Text "aba"
toList @Text "aba" :: [Char]

null :: t -> Bool

Checks whether container is empty.

>>> null @Text ""
True
>>> null @Text "aba"
False

foldr :: (Element t -> b -> b) -> b -> t -> b

foldl :: (b -> Element t -> b) -> b -> t -> b

foldl' :: (b -> Element t -> b) -> b -> t -> b

length :: t -> Int

elem :: Element t -> t -> Bool

maximum :: t -> Element t

minimum :: t -> Element t

foldMap :: Monoid m => (Element t -> m) -> t -> m

fold :: t -> Element t

foldr' :: (Element t -> b -> b) -> b -> t -> b

foldr1 :: (Element t -> Element t -> Element t) -> t -> Element t

foldl1 :: (Element t -> Element t -> Element t) -> t -> Element t

notElem :: Element t -> t -> Bool

all :: (Element t -> Bool) -> t -> Bool

any :: (Element t -> Bool) -> t -> Bool

and :: t -> Bool

or :: t -> Bool

find :: (Element t -> Bool) -> t -> Maybe (Element t)

safeHead :: t -> Maybe (Element t)

Instances

Container ByteString

Defined in Universum.Container.Class

Associated Types

type Element ByteString

Methods

toList :: ByteString -> [Element ByteString]

null :: ByteString -> Bool

foldr :: (Element ByteString -> b -> b) -> b -> ByteString -> b

foldl :: (b -> Element ByteString -> b) -> b -> ByteString -> b

foldl' :: (b -> Element ByteString -> b) -> b -> ByteString -> b

length :: ByteString -> Int

elem :: Element ByteString -> ByteString -> Bool

maximum :: ByteString -> Element ByteString

minimum :: ByteString -> Element ByteString

foldMap :: Monoid m => (Element ByteString -> m) -> ByteString -> m

fold :: ByteString -> Element ByteString

foldr' :: (Element ByteString -> b -> b) -> b -> ByteString -> b

foldr1 :: (Element ByteString -> Element ByteString -> Element ByteString) -> ByteString -> Element ByteString

foldl1 :: (Element ByteString -> Element ByteString -> Element ByteString) -> ByteString -> Element ByteString

notElem :: Element ByteString -> ByteString -> Bool

all :: (Element ByteString -> Bool) -> ByteString -> Bool

any :: (Element ByteString -> Bool) -> ByteString -> Bool

and :: ByteString -> Bool

or :: ByteString -> Bool

find :: (Element ByteString -> Bool) -> ByteString -> Maybe (Element ByteString)

safeHead :: ByteString -> Maybe (Element ByteString)

Container ByteString

Defined in Universum.Container.Class

Associated Types

type Element ByteString

Methods

toList :: ByteString -> [Element ByteString]

null :: ByteString -> Bool

foldr :: (Element ByteString -> b -> b) -> b -> ByteString -> b

foldl :: (b -> Element ByteString -> b) -> b -> ByteString -> b

foldl' :: (b -> Element ByteString -> b) -> b -> ByteString -> b

length :: ByteString -> Int

elem :: Element ByteString -> ByteString -> Bool

maximum :: ByteString -> Element ByteString

minimum :: ByteString -> Element ByteString

foldMap :: Monoid m => (Element ByteString -> m) -> ByteString -> m

fold :: ByteString -> Element ByteString

foldr' :: (Element ByteString -> b -> b) -> b -> ByteString -> b

foldr1 :: (Element ByteString -> Element ByteString -> Element ByteString) -> ByteString -> Element ByteString

foldl1 :: (Element ByteString -> Element ByteString -> Element ByteString) -> ByteString -> Element ByteString

notElem :: Element ByteString -> ByteString -> Bool

all :: (Element ByteString -> Bool) -> ByteString -> Bool

any :: (Element ByteString -> Bool) -> ByteString -> Bool

and :: ByteString -> Bool

or :: ByteString -> Bool

find :: (Element ByteString -> Bool) -> ByteString -> Maybe (Element ByteString)

safeHead :: ByteString -> Maybe (Element ByteString)

Container IntSet

Defined in Universum.Container.Class

Associated Types

type Element IntSet

Methods

toList :: IntSet -> [Element IntSet]

null :: IntSet -> Bool

foldr :: (Element IntSet -> b -> b) -> b -> IntSet -> b

foldl :: (b -> Element IntSet -> b) -> b -> IntSet -> b

foldl' :: (b -> Element IntSet -> b) -> b -> IntSet -> b

length :: IntSet -> Int

elem :: Element IntSet -> IntSet -> Bool

maximum :: IntSet -> Element IntSet

minimum :: IntSet -> Element IntSet

foldMap :: Monoid m => (Element IntSet -> m) -> IntSet -> m

fold :: IntSet -> Element IntSet

foldr' :: (Element IntSet -> b -> b) -> b -> IntSet -> b

foldr1 :: (Element IntSet -> Element IntSet -> Element IntSet) -> IntSet -> Element IntSet

foldl1 :: (Element IntSet -> Element IntSet -> Element IntSet) -> IntSet -> Element IntSet

notElem :: Element IntSet -> IntSet -> Bool

all :: (Element IntSet -> Bool) -> IntSet -> Bool

any :: (Element IntSet -> Bool) -> IntSet -> Bool

and :: IntSet -> Bool

or :: IntSet -> Bool

find :: (Element IntSet -> Bool) -> IntSet -> Maybe (Element IntSet)

safeHead :: IntSet -> Maybe (Element IntSet)

Container Text

Defined in Universum.Container.Class

Associated Types

type Element Text

Methods

toList :: Text -> [Element Text]

null :: Text -> Bool

foldr :: (Element Text -> b -> b) -> b -> Text -> b

foldl :: (b -> Element Text -> b) -> b -> Text -> b

foldl' :: (b -> Element Text -> b) -> b -> Text -> b

length :: Text -> Int

elem :: Element Text -> Text -> Bool

maximum :: Text -> Element Text

minimum :: Text -> Element Text

foldMap :: Monoid m => (Element Text -> m) -> Text -> m

fold :: Text -> Element Text

foldr' :: (Element Text -> b -> b) -> b -> Text -> b

foldr1 :: (Element Text -> Element Text -> Element Text) -> Text -> Element Text

foldl1 :: (Element Text -> Element Text -> Element Text) -> Text -> Element Text

notElem :: Element Text -> Text -> Bool

all :: (Element Text -> Bool) -> Text -> Bool

any :: (Element Text -> Bool) -> Text -> Bool

and :: Text -> Bool

or :: Text -> Bool

find :: (Element Text -> Bool) -> Text -> Maybe (Element Text)

safeHead :: Text -> Maybe (Element Text)

Container Text

Defined in Universum.Container.Class

Associated Types

type Element Text

Methods

toList :: Text -> [Element Text]

null :: Text -> Bool

foldr :: (Element Text -> b -> b) -> b -> Text -> b

foldl :: (b -> Element Text -> b) -> b -> Text -> b

foldl' :: (b -> Element Text -> b) -> b -> Text -> b

length :: Text -> Int

elem :: Element Text -> Text -> Bool

maximum :: Text -> Element Text

minimum :: Text -> Element Text

foldMap :: Monoid m => (Element Text -> m) -> Text -> m

fold :: Text -> Element Text

foldr' :: (Element Text -> b -> b) -> b -> Text -> b

foldr1 :: (Element Text -> Element Text -> Element Text) -> Text -> Element Text

foldl1 :: (Element Text -> Element Text -> Element Text) -> Text -> Element Text

notElem :: Element Text -> Text -> Bool

all :: (Element Text -> Bool) -> Text -> Bool

any :: (Element Text -> Bool) -> Text -> Bool

and :: Text -> Bool

or :: Text -> Bool

find :: (Element Text -> Bool) -> Text -> Maybe (Element Text)

safeHead :: Text -> Maybe (Element Text)

Container [a]

Defined in Universum.Container.Class

Associated Types

type Element [a]

Methods

toList :: [a] -> [Element [a]]

null :: [a] -> Bool

foldr :: (Element [a] -> b -> b) -> b -> [a] -> b

foldl :: (b -> Element [a] -> b) -> b -> [a] -> b

foldl' :: (b -> Element [a] -> b) -> b -> [a] -> b

length :: [a] -> Int

elem :: Element [a] -> [a] -> Bool

maximum :: [a] -> Element [a]

minimum :: [a] -> Element [a]

foldMap :: Monoid m => (Element [a] -> m) -> [a] -> m

fold :: [a] -> Element [a]

foldr' :: (Element [a] -> b -> b) -> b -> [a] -> b

foldr1 :: (Element [a] -> Element [a] -> Element [a]) -> [a] -> Element [a]

foldl1 :: (Element [a] -> Element [a] -> Element [a]) -> [a] -> Element [a]

notElem :: Element [a] -> [a] -> Bool

all :: (Element [a] -> Bool) -> [a] -> Bool

any :: (Element [a] -> Bool) -> [a] -> Bool

and :: [a] -> Bool

or :: [a] -> Bool

find :: (Element [a] -> Bool) -> [a] -> Maybe (Element [a])

safeHead :: [a] -> Maybe (Element [a])

(TypeError (DisallowInstance "Maybe") :: Constraint) => Container (Maybe a)

Defined in Universum.Container.Class

Associated Types

type Element (Maybe a)

Methods

toList :: Maybe a -> [Element (Maybe a)]

null :: Maybe a -> Bool

foldr :: (Element (Maybe a) -> b -> b) -> b -> Maybe a -> b

foldl :: (b -> Element (Maybe a) -> b) -> b -> Maybe a -> b

foldl' :: (b -> Element (Maybe a) -> b) -> b -> Maybe a -> b

length :: Maybe a -> Int

elem :: Element (Maybe a) -> Maybe a -> Bool

maximum :: Maybe a -> Element (Maybe a)

minimum :: Maybe a -> Element (Maybe a)

foldMap :: Monoid m => (Element (Maybe a) -> m) -> Maybe a -> m

fold :: Maybe a -> Element (Maybe a)

foldr' :: (Element (Maybe a) -> b -> b) -> b -> Maybe a -> b

foldr1 :: (Element (Maybe a) -> Element (Maybe a) -> Element (Maybe a)) -> Maybe a -> Element (Maybe a)

foldl1 :: (Element (Maybe a) -> Element (Maybe a) -> Element (Maybe a)) -> Maybe a -> Element (Maybe a)

notElem :: Element (Maybe a) -> Maybe a -> Bool

all :: (Element (Maybe a) -> Bool) -> Maybe a -> Bool

any :: (Element (Maybe a) -> Bool) -> Maybe a -> Bool

and :: Maybe a -> Bool

or :: Maybe a -> Bool

find :: (Element (Maybe a) -> Bool) -> Maybe a -> Maybe (Element (Maybe a))

safeHead :: Maybe a -> Maybe (Element (Maybe a))

Container (ZipList a)

Defined in Universum.Container.Class

Associated Types

type Element (ZipList a)

Methods

toList :: ZipList a -> [Element (ZipList a)]

null :: ZipList a -> Bool

foldr :: (Element (ZipList a) -> b -> b) -> b -> ZipList a -> b

foldl :: (b -> Element (ZipList a) -> b) -> b -> ZipList a -> b

foldl' :: (b -> Element (ZipList a) -> b) -> b -> ZipList a -> b

length :: ZipList a -> Int

elem :: Element (ZipList a) -> ZipList a -> Bool

maximum :: ZipList a -> Element (ZipList a)

minimum :: ZipList a -> Element (ZipList a)

foldMap :: Monoid m => (Element (ZipList a) -> m) -> ZipList a -> m

fold :: ZipList a -> Element (ZipList a)

foldr' :: (Element (ZipList a) -> b -> b) -> b -> ZipList a -> b

foldr1 :: (Element (ZipList a) -> Element (ZipList a) -> Element (ZipList a)) -> ZipList a -> Element (ZipList a)

foldl1 :: (Element (ZipList a) -> Element (ZipList a) -> Element (ZipList a)) -> ZipList a -> Element (ZipList a)

notElem :: Element (ZipList a) -> ZipList a -> Bool

all :: (Element (ZipList a) -> Bool) -> ZipList a -> Bool

any :: (Element (ZipList a) -> Bool) -> ZipList a -> Bool

and :: ZipList a -> Bool

or :: ZipList a -> Bool

find :: (Element (ZipList a) -> Bool) -> ZipList a -> Maybe (Element (ZipList a))

safeHead :: ZipList a -> Maybe (Element (ZipList a))

(TypeError (DisallowInstance "Identity") :: Constraint) => Container (Identity a)

Defined in Universum.Container.Class

Associated Types

type Element (Identity a)

Methods

toList :: Identity a -> [Element (Identity a)]

null :: Identity a -> Bool

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

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

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

length :: Identity a -> Int

elem :: Element (Identity a) -> Identity a -> Bool

maximum :: Identity a -> Element (Identity a)

minimum :: Identity a -> Element (Identity a)

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

fold :: Identity a -> Element (Identity a)

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

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

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

notElem :: Element (Identity a) -> Identity a -> Bool

all :: (Element (Identity a) -> Bool) -> Identity a -> Bool

any :: (Element (Identity a) -> Bool) -> Identity a -> Bool

and :: Identity a -> Bool

or :: Identity a -> Bool

find :: (Element (Identity a) -> Bool) -> Identity a -> Maybe (Element (Identity a))

safeHead :: Identity a -> Maybe (Element (Identity a))

Container (First a)

Defined in Universum.Container.Class

Associated Types

type Element (First a)

Methods

toList :: First a -> [Element (First a)]

null :: First a -> Bool

foldr :: (Element (First a) -> b -> b) -> b -> First a -> b

foldl :: (b -> Element (First a) -> b) -> b -> First a -> b

foldl' :: (b -> Element (First a) -> b) -> b -> First a -> b

length :: First a -> Int

elem :: Element (First a) -> First a -> Bool

maximum :: First a -> Element (First a)

minimum :: First a -> Element (First a)

foldMap :: Monoid m => (Element (First a) -> m) -> First a -> m

fold :: First a -> Element (First a)

foldr' :: (Element (First a) -> b -> b) -> b -> First a -> b

foldr1 :: (Element (First a) -> Element (First a) -> Element (First a)) -> First a -> Element (First a)

foldl1 :: (Element (First a) -> Element (First a) -> Element (First a)) -> First a -> Element (First a)

notElem :: Element (First a) -> First a -> Bool

all :: (Element (First a) -> Bool) -> First a -> Bool

any :: (Element (First a) -> Bool) -> First a -> Bool

and :: First a -> Bool

or :: First a -> Bool

find :: (Element (First a) -> Bool) -> First a -> Maybe (Element (First a))

safeHead :: First a -> Maybe (Element (First a))

Container (Last a)

Defined in Universum.Container.Class

Associated Types

type Element (Last a)

Methods

toList :: Last a -> [Element (Last a)]

null :: Last a -> Bool

foldr :: (Element (Last a) -> b -> b) -> b -> Last a -> b

foldl :: (b -> Element (Last a) -> b) -> b -> Last a -> b

foldl' :: (b -> Element (Last a) -> b) -> b -> Last a -> b

length :: Last a -> Int

elem :: Element (Last a) -> Last a -> Bool

maximum :: Last a -> Element (Last a)

minimum :: Last a -> Element (Last a)

foldMap :: Monoid m => (Element (Last a) -> m) -> Last a -> m

fold :: Last a -> Element (Last a)

foldr' :: (Element (Last a) -> b -> b) -> b -> Last a -> b

foldr1 :: (Element (Last a) -> Element (Last a) -> Element (Last a)) -> Last a -> Element (Last a)

foldl1 :: (Element (Last a) -> Element (Last a) -> Element (Last a)) -> Last a -> Element (Last a)

notElem :: Element (Last a) -> Last a -> Bool

all :: (Element (Last a) -> Bool) -> Last a -> Bool

any :: (Element (Last a) -> Bool) -> Last a -> Bool

and :: Last a -> Bool

or :: Last a -> Bool

find :: (Element (Last a) -> Bool) -> Last a -> Maybe (Element (Last a))

safeHead :: Last a -> Maybe (Element (Last a))

Container (Dual a)

Defined in Universum.Container.Class

Associated Types

type Element (Dual a)

Methods

toList :: Dual a -> [Element (Dual a)]

null :: Dual a -> Bool

foldr :: (Element (Dual a) -> b -> b) -> b -> Dual a -> b

foldl :: (b -> Element (Dual a) -> b) -> b -> Dual a -> b

foldl' :: (b -> Element (Dual a) -> b) -> b -> Dual a -> b

length :: Dual a -> Int

elem :: Element (Dual a) -> Dual a -> Bool

maximum :: Dual a -> Element (Dual a)

minimum :: Dual a -> Element (Dual a)

foldMap :: Monoid m => (Element (Dual a) -> m) -> Dual a -> m

fold :: Dual a -> Element (Dual a)

foldr' :: (Element (Dual a) -> b -> b) -> b -> Dual a -> b

foldr1 :: (Element (Dual a) -> Element (Dual a) -> Element (Dual a)) -> Dual a -> Element (Dual a)

foldl1 :: (Element (Dual a) -> Element (Dual a) -> Element (Dual a)) -> Dual a -> Element (Dual a)

notElem :: Element (Dual a) -> Dual a -> Bool

all :: (Element (Dual a) -> Bool) -> Dual a -> Bool

any :: (Element (Dual a) -> Bool) -> Dual a -> Bool

and :: Dual a -> Bool

or :: Dual a -> Bool

find :: (Element (Dual a) -> Bool) -> Dual a -> Maybe (Element (Dual a))

safeHead :: Dual a -> Maybe (Element (Dual a))

Container (Sum a)

Defined in Universum.Container.Class

Associated Types

type Element (Sum a)

Methods

toList :: Sum a -> [Element (Sum a)]

null :: Sum a -> Bool

foldr :: (Element (Sum a) -> b -> b) -> b -> Sum a -> b

foldl :: (b -> Element (Sum a) -> b) -> b -> Sum a -> b

foldl' :: (b -> Element (Sum a) -> b) -> b -> Sum a -> b

length :: Sum a -> Int

elem :: Element (Sum a) -> Sum a -> Bool

maximum :: Sum a -> Element (Sum a)

minimum :: Sum a -> Element (Sum a)

foldMap :: Monoid m => (Element (Sum a) -> m) -> Sum a -> m

fold :: Sum a -> Element (Sum a)

foldr' :: (Element (Sum a) -> b -> b) -> b -> Sum a -> b

foldr1 :: (Element (Sum a) -> Element (Sum a) -> Element (Sum a)) -> Sum a -> Element (Sum a)

foldl1 :: (Element (Sum a) -> Element (Sum a) -> Element (Sum a)) -> Sum a -> Element (Sum a)

notElem :: Element (Sum a) -> Sum a -> Bool

all :: (Element (Sum a) -> Bool) -> Sum a -> Bool

any :: (Element (Sum a) -> Bool) -> Sum a -> Bool

and :: Sum a -> Bool

or :: Sum a -> Bool

find :: (Element (Sum a) -> Bool) -> Sum a -> Maybe (Element (Sum a))

safeHead :: Sum a -> Maybe (Element (Sum a))

Container (Product a)

Defined in Universum.Container.Class

Associated Types

type Element (Product a)

Methods

toList :: Product a -> [Element (Product a)]

null :: Product a -> Bool

foldr :: (Element (Product a) -> b -> b) -> b -> Product a -> b

foldl :: (b -> Element (Product a) -> b) -> b -> Product a -> b

foldl' :: (b -> Element (Product a) -> b) -> b -> Product a -> b

length :: Product a -> Int

elem :: Element (Product a) -> Product a -> Bool

maximum :: Product a -> Element (Product a)

minimum :: Product a -> Element (Product a)

foldMap :: Monoid m => (Element (Product a) -> m) -> Product a -> m

fold :: Product a -> Element (Product a)

foldr' :: (Element (Product a) -> b -> b) -> b -> Product a -> b

foldr1 :: (Element (Product a) -> Element (Product a) -> Element (Product a)) -> Product a -> Element (Product a)

foldl1 :: (Element (Product a) -> Element (Product a) -> Element (Product a)) -> Product a -> Element (Product a)

notElem :: Element (Product a) -> Product a -> Bool

all :: (Element (Product a) -> Bool) -> Product a -> Bool

any :: (Element (Product a) -> Bool) -> Product a -> Bool

and :: Product a -> Bool

or :: Product a -> Bool

find :: (Element (Product a) -> Bool) -> Product a -> Maybe (Element (Product a))

safeHead :: Product a -> Maybe (Element (Product a))

Container (NonEmpty a)

Defined in Universum.Container.Class

Associated Types

type Element (NonEmpty a)

Methods

toList :: NonEmpty a -> [Element (NonEmpty a)]

null :: NonEmpty a -> Bool

foldr :: (Element (NonEmpty a) -> b -> b) -> b -> NonEmpty a -> b

foldl :: (b -> Element (NonEmpty a) -> b) -> b -> NonEmpty a -> b

foldl' :: (b -> Element (NonEmpty a) -> b) -> b -> NonEmpty a -> b

length :: NonEmpty a -> Int

elem :: Element (NonEmpty a) -> NonEmpty a -> Bool

maximum :: NonEmpty a -> Element (NonEmpty a)

minimum :: NonEmpty a -> Element (NonEmpty a)

foldMap :: Monoid m => (Element (NonEmpty a) -> m) -> NonEmpty a -> m

fold :: NonEmpty a -> Element (NonEmpty a)

foldr' :: (Element (NonEmpty a) -> b -> b) -> b -> NonEmpty a -> b

foldr1 :: (Element (NonEmpty a) -> Element (NonEmpty a) -> Element (NonEmpty a)) -> NonEmpty a -> Element (NonEmpty a)

foldl1 :: (Element (NonEmpty a) -> Element (NonEmpty a) -> Element (NonEmpty a)) -> NonEmpty a -> Element (NonEmpty a)

notElem :: Element (NonEmpty a) -> NonEmpty a -> Bool

all :: (Element (NonEmpty a) -> Bool) -> NonEmpty a -> Bool

any :: (Element (NonEmpty a) -> Bool) -> NonEmpty a -> Bool

and :: NonEmpty a -> Bool

or :: NonEmpty a -> Bool

find :: (Element (NonEmpty a) -> Bool) -> NonEmpty a -> Maybe (Element (NonEmpty a))

safeHead :: NonEmpty a -> Maybe (Element (NonEmpty a))

Container (IntMap v)

Defined in Universum.Container.Class

Associated Types

type Element (IntMap v)

Methods

toList :: IntMap v -> [Element (IntMap v)]

null :: IntMap v -> Bool

foldr :: (Element (IntMap v) -> b -> b) -> b -> IntMap v -> b

foldl :: (b -> Element (IntMap v) -> b) -> b -> IntMap v -> b

foldl' :: (b -> Element (IntMap v) -> b) -> b -> IntMap v -> b

length :: IntMap v -> Int

elem :: Element (IntMap v) -> IntMap v -> Bool

maximum :: IntMap v -> Element (IntMap v)

minimum :: IntMap v -> Element (IntMap v)

foldMap :: Monoid m => (Element (IntMap v) -> m) -> IntMap v -> m

fold :: IntMap v -> Element (IntMap v)

foldr' :: (Element (IntMap v) -> b -> b) -> b -> IntMap v -> b

foldr1 :: (Element (IntMap v) -> Element (IntMap v) -> Element (IntMap v)) -> IntMap v -> Element (IntMap v)

foldl1 :: (Element (IntMap v) -> Element (IntMap v) -> Element (IntMap v)) -> IntMap v -> Element (IntMap v)

notElem :: Element (IntMap v) -> IntMap v -> Bool

all :: (Element (IntMap v) -> Bool) -> IntMap v -> Bool

any :: (Element (IntMap v) -> Bool) -> IntMap v -> Bool

and :: IntMap v -> Bool

or :: IntMap v -> Bool

find :: (Element (IntMap v) -> Bool) -> IntMap v -> Maybe (Element (IntMap v))

safeHead :: IntMap v -> Maybe (Element (IntMap v))

Container (Seq a)

Defined in Universum.Container.Class

Associated Types

type Element (Seq a)

Methods

toList :: Seq a -> [Element (Seq a)]

null :: Seq a -> Bool

foldr :: (Element (Seq a) -> b -> b) -> b -> Seq a -> b

foldl :: (b -> Element (Seq a) -> b) -> b -> Seq a -> b

foldl' :: (b -> Element (Seq a) -> b) -> b -> Seq a -> b

length :: Seq a -> Int

elem :: Element (Seq a) -> Seq a -> Bool

maximum :: Seq a -> Element (Seq a)

minimum :: Seq a -> Element (Seq a)

foldMap :: Monoid m => (Element (Seq a) -> m) -> Seq a -> m

fold :: Seq a -> Element (Seq a)

foldr' :: (Element (Seq a) -> b -> b) -> b -> Seq a -> b

foldr1 :: (Element (Seq a) -> Element (Seq a) -> Element (Seq a)) -> Seq a -> Element (Seq a)

foldl1 :: (Element (Seq a) -> Element (Seq a) -> Element (Seq a)) -> Seq a -> Element (Seq a)

notElem :: Element (Seq a) -> Seq a -> Bool

all :: (Element (Seq a) -> Bool) -> Seq a -> Bool

any :: (Element (Seq a) -> Bool) -> Seq a -> Bool

and :: Seq a -> Bool

or :: Seq a -> Bool

find :: (Element (Seq a) -> Bool) -> Seq a -> Maybe (Element (Seq a))

safeHead :: Seq a -> Maybe (Element (Seq a))

Ord v => Container (Set v)

Defined in Universum.Container.Class

Associated Types

type Element (Set v)

Methods

toList :: Set v -> [Element (Set v)]

null :: Set v -> Bool

foldr :: (Element (Set v) -> b -> b) -> b -> Set v -> b

foldl :: (b -> Element (Set v) -> b) -> b -> Set v -> b

foldl' :: (b -> Element (Set v) -> b) -> b -> Set v -> b

length :: Set v -> Int

elem :: Element (Set v) -> Set v -> Bool

maximum :: Set v -> Element (Set v)

minimum :: Set v -> Element (Set v)

foldMap :: Monoid m => (Element (Set v) -> m) -> Set v -> m

fold :: Set v -> Element (Set v)

foldr' :: (Element (Set v) -> b -> b) -> b -> Set v -> b

foldr1 :: (Element (Set v) -> Element (Set v) -> Element (Set v)) -> Set v -> Element (Set v)

foldl1 :: (Element (Set v) -> Element (Set v) -> Element (Set v)) -> Set v -> Element (Set v)

notElem :: Element (Set v) -> Set v -> Bool

all :: (Element (Set v) -> Bool) -> Set v -> Bool

any :: (Element (Set v) -> Bool) -> Set v -> Bool

and :: Set v -> Bool

or :: Set v -> Bool

find :: (Element (Set v) -> Bool) -> Set v -> Maybe (Element (Set v))

safeHead :: Set v -> Maybe (Element (Set v))

(Eq v, Hashable v) => Container (HashSet v)

Defined in Universum.Container.Class

Associated Types

type Element (HashSet v)

Methods

toList :: HashSet v -> [Element (HashSet v)]

null :: HashSet v -> Bool

foldr :: (Element (HashSet v) -> b -> b) -> b -> HashSet v -> b

foldl :: (b -> Element (HashSet v) -> b) -> b -> HashSet v -> b

foldl' :: (b -> Element (HashSet v) -> b) -> b -> HashSet v -> b

length :: HashSet v -> Int

elem :: Element (HashSet v) -> HashSet v -> Bool

maximum :: HashSet v -> Element (HashSet v)

minimum :: HashSet v -> Element (HashSet v)

foldMap :: Monoid m => (Element (HashSet v) -> m) -> HashSet v -> m

fold :: HashSet v -> Element (HashSet v)

foldr' :: (Element (HashSet v) -> b -> b) -> b -> HashSet v -> b

foldr1 :: (Element (HashSet v) -> Element (HashSet v) -> Element (HashSet v)) -> HashSet v -> Element (HashSet v)

foldl1 :: (Element (HashSet v) -> Element (HashSet v) -> Element (HashSet v)) -> HashSet v -> Element (HashSet v)

notElem :: Element (HashSet v) -> HashSet v -> Bool

all :: (Element (HashSet v) -> Bool) -> HashSet v -> Bool

any :: (Element (HashSet v) -> Bool) -> HashSet v -> Bool

and :: HashSet v -> Bool

or :: HashSet v -> Bool

find :: (Element (HashSet v) -> Bool) -> HashSet v -> Maybe (Element (HashSet v))

safeHead :: HashSet v -> Maybe (Element (HashSet v))

Container (Vector a)

Defined in Universum.Container.Class

Associated Types

type Element (Vector a)

Methods

toList :: Vector a -> [Element (Vector a)]

null :: Vector a -> Bool

foldr :: (Element (Vector a) -> b -> b) -> b -> Vector a -> b

foldl :: (b -> Element (Vector a) -> b) -> b -> Vector a -> b

foldl' :: (b -> Element (Vector a) -> b) -> b -> Vector a -> b

length :: Vector a -> Int

elem :: Element (Vector a) -> Vector a -> Bool

maximum :: Vector a -> Element (Vector a)

minimum :: Vector a -> Element (Vector a)

foldMap :: Monoid m => (Element (Vector a) -> m) -> Vector a -> m

fold :: Vector a -> Element (Vector a)

foldr' :: (Element (Vector a) -> b -> b) -> b -> Vector a -> b

foldr1 :: (Element (Vector a) -> Element (Vector a) -> Element (Vector a)) -> Vector a -> Element (Vector a)

foldl1 :: (Element (Vector a) -> Element (Vector a) -> Element (Vector a)) -> Vector a -> Element (Vector a)

notElem :: Element (Vector a) -> Vector a -> Bool

all :: (Element (Vector a) -> Bool) -> Vector a -> Bool

any :: (Element (Vector a) -> Bool) -> Vector a -> Bool

and :: Vector a -> Bool

or :: Vector a -> Bool

find :: (Element (Vector a) -> Bool) -> Vector a -> Maybe (Element (Vector a))

safeHead :: Vector a -> Maybe (Element (Vector a))

(TypeError (DisallowInstance "Either") :: Constraint) => Container (Either a b)

Defined in Universum.Container.Class

Associated Types

type Element (Either a b)

Methods

toList :: Either a b -> [Element (Either a b)]

null :: Either a b -> Bool

foldr :: (Element (Either a b) -> b0 -> b0) -> b0 -> Either a b -> b0

foldl :: (b0 -> Element (Either a b) -> b0) -> b0 -> Either a b -> b0

foldl' :: (b0 -> Element (Either a b) -> b0) -> b0 -> Either a b -> b0

length :: Either a b -> Int

elem :: Element (Either a b) -> Either a b -> Bool

maximum :: Either a b -> Element (Either a b)

minimum :: Either a b -> Element (Either a b)

foldMap :: Monoid m => (Element (Either a b) -> m) -> Either a b -> m

fold :: Either a b -> Element (Either a b)

foldr' :: (Element (Either a b) -> b0 -> b0) -> b0 -> Either a b -> b0

foldr1 :: (Element (Either a b) -> Element (Either a b) -> Element (Either a b)) -> Either a b -> Element (Either a b)

foldl1 :: (Element (Either a b) -> Element (Either a b) -> Element (Either a b)) -> Either a b -> Element (Either a b)

notElem :: Element (Either a b) -> Either a b -> Bool

all :: (Element (Either a b) -> Bool) -> Either a b -> Bool

any :: (Element (Either a b) -> Bool) -> Either a b -> Bool

and :: Either a b -> Bool

or :: Either a b -> Bool

find :: (Element (Either a b) -> Bool) -> Either a b -> Maybe (Element (Either a b))

safeHead :: Either a b -> Maybe (Element (Either a b))

(TypeError (DisallowInstance "tuple") :: Constraint) => Container (a, b)

Defined in Universum.Container.Class

Associated Types

type Element (a, b)

Methods

toList :: (a, b) -> [Element (a, b)]

null :: (a, b) -> Bool

foldr :: (Element (a, b) -> b0 -> b0) -> b0 -> (a, b) -> b0

foldl :: (b0 -> Element (a, b) -> b0) -> b0 -> (a, b) -> b0

foldl' :: (b0 -> Element (a, b) -> b0) -> b0 -> (a, b) -> b0

length :: (a, b) -> Int

elem :: Element (a, b) -> (a, b) -> Bool

maximum :: (a, b) -> Element (a, b)

minimum :: (a, b) -> Element (a, b)

foldMap :: Monoid m => (Element (a, b) -> m) -> (a, b) -> m

fold :: (a, b) -> Element (a, b)

foldr' :: (Element (a, b) -> b0 -> b0) -> b0 -> (a, b) -> b0

foldr1 :: (Element (a, b) -> Element (a, b) -> Element (a, b)) -> (a, b) -> Element (a, b)

foldl1 :: (Element (a, b) -> Element (a, b) -> Element (a, b)) -> (a, b) -> Element (a, b)

notElem :: Element (a, b) -> (a, b) -> Bool

all :: (Element (a, b) -> Bool) -> (a, b) -> Bool

any :: (Element (a, b) -> Bool) -> (a, b) -> Bool

and :: (a, b) -> Bool

or :: (a, b) -> Bool

find :: (Element (a, b) -> Bool) -> (a, b) -> Maybe (Element (a, b))

safeHead :: (a, b) -> Maybe (Element (a, b))

Container (Map k v)

Defined in Universum.Container.Class

Associated Types

type Element (Map k v)

Methods

toList :: Map k v -> [Element (Map k v)]

null :: Map k v -> Bool

foldr :: (Element (Map k v) -> b -> b) -> b -> Map k v -> b

foldl :: (b -> Element (Map k v) -> b) -> b -> Map k v -> b

foldl' :: (b -> Element (Map k v) -> b) -> b -> Map k v -> b

length :: Map k v -> Int

elem :: Element (Map k v) -> Map k v -> Bool

maximum :: Map k v -> Element (Map k v)

minimum :: Map k v -> Element (Map k v)

foldMap :: Monoid m => (Element (Map k v) -> m) -> Map k v -> m

fold :: Map k v -> Element (Map k v)

foldr' :: (Element (Map k v) -> b -> b) -> b -> Map k v -> b

foldr1 :: (Element (Map k v) -> Element (Map k v) -> Element (Map k v)) -> Map k v -> Element (Map k v)

foldl1 :: (Element (Map k v) -> Element (Map k v) -> Element (Map k v)) -> Map k v -> Element (Map k v)

notElem :: Element (Map k v) -> Map k v -> Bool

all :: (Element (Map k v) -> Bool) -> Map k v -> Bool

any :: (Element (Map k v) -> Bool) -> Map k v -> Bool

and :: Map k v -> Bool

or :: Map k v -> Bool

find :: (Element (Map k v) -> Bool) -> Map k v -> Maybe (Element (Map k v))

safeHead :: Map k v -> Maybe (Element (Map k v))

Container (HashMap k v)

Defined in Universum.Container.Class

Associated Types

type Element (HashMap k v)

Methods

toList :: HashMap k v -> [Element (HashMap k v)]

null :: HashMap k v -> Bool

foldr :: (Element (HashMap k v) -> b -> b) -> b -> HashMap k v -> b

foldl :: (b -> Element (HashMap k v) -> b) -> b -> HashMap k v -> b

foldl' :: (b -> Element (HashMap k v) -> b) -> b -> HashMap k v -> b

length :: HashMap k v -> Int

elem :: Element (HashMap k v) -> HashMap k v -> Bool

maximum :: HashMap k v -> Element (HashMap k v)

minimum :: HashMap k v -> Element (HashMap k v)

foldMap :: Monoid m => (Element (HashMap k v) -> m) -> HashMap k v -> m

fold :: HashMap k v -> Element (HashMap k v)

foldr' :: (Element (HashMap k v) -> b -> b) -> b -> HashMap k v -> b

foldr1 :: (Element (HashMap k v) -> Element (HashMap k v) -> Element (HashMap k v)) -> HashMap k v -> Element (HashMap k v)

foldl1 :: (Element (HashMap k v) -> Element (HashMap k v) -> Element (HashMap k v)) -> HashMap k v -> Element (HashMap k v)

notElem :: Element (HashMap k v) -> HashMap k v -> Bool

all :: (Element (HashMap k v) -> Bool) -> HashMap k v -> Bool

any :: (Element (HashMap k v) -> Bool) -> HashMap k v -> Bool

and :: HashMap k v -> Bool

or :: HashMap k v -> Bool

find :: (Element (HashMap k v) -> Bool) -> HashMap k v -> Maybe (Element (HashMap k v))

safeHead :: HashMap k v -> Maybe (Element (HashMap k v))

Container (Const a b)

Defined in Universum.Container.Class

Associated Types

type Element (Const a b)

Methods

toList :: Const a b -> [Element (Const a b)]

null :: Const a b -> Bool

foldr :: (Element (Const a b) -> b0 -> b0) -> b0 -> Const a b -> b0

foldl :: (b0 -> Element (Const a b) -> b0) -> b0 -> Const a b -> b0

foldl' :: (b0 -> Element (Const a b) -> b0) -> b0 -> Const a b -> b0

length :: Const a b -> Int

elem :: Element (Const a b) -> Const a b -> Bool

maximum :: Const a b -> Element (Const a b)

minimum :: Const a b -> Element (Const a b)

foldMap :: Monoid m => (Element (Const a b) -> m) -> Const a b -> m

fold :: Const a b -> Element (Const a b)

foldr' :: (Element (Const a b) -> b0 -> b0) -> b0 -> Const a b -> b0

foldr1 :: (Element (Const a b) -> Element (Const a b) -> Element (Const a b)) -> Const a b -> Element (Const a b)

foldl1 :: (Element (Const a b) -> Element (Const a b) -> Element (Const a b)) -> Const a b -> Element (Const a b)

notElem :: Element (Const a b) -> Const a b -> Bool

all :: (Element (Const a b) -> Bool) -> Const a b -> Bool

any :: (Element (Const a b) -> Bool) -> Const a b -> Bool

and :: Const a b -> Bool

or :: Const a b -> Bool

find :: (Element (Const a b) -> Bool) -> Const a b -> Maybe (Element (Const a b))

safeHead :: Const a b -> Maybe (Element (Const a b))

type family OneItem x

Instances

type OneItem ByteString

Defined in Universum.Container.Class

type OneItem ByteString = Word8

type OneItem ByteString

Defined in Universum.Container.Class

type OneItem ByteString = Word8

type OneItem IntSet

Defined in Universum.Container.Class

type OneItem IntSet = Int

type OneItem Text

Defined in Universum.Container.Class

type OneItem Text = Char

type OneItem Text

Defined in Universum.Container.Class

type OneItem Text = Char

type OneItem [a]

Defined in Universum.Container.Class

type OneItem [a] = a

type OneItem (NonEmpty a)

Defined in Universum.Container.Class

type OneItem (NonEmpty a) = a

type OneItem (IntMap v)

Defined in Universum.Container.Class

type OneItem (IntMap v) = (Int, v)

type OneItem (Seq a)

Defined in Universum.Container.Class

type OneItem (Seq a) = a

type OneItem (Set v)

Defined in Universum.Container.Class

type OneItem (Set v) = v

type OneItem (Vector a)

Defined in Universum.Container.Class

type OneItem (Vector a) = a

type OneItem (Vector a)

Defined in Universum.Container.Class

type OneItem (Vector a) = a

type OneItem (Vector a)

Defined in Universum.Container.Class

type OneItem (Vector a) = a

type OneItem (HashSet v)

Defined in Universum.Container.Class

type OneItem (HashSet v) = v

type OneItem (Vector a)

Defined in Universum.Container.Class

type OneItem (Vector a) = a

type OneItem (Map k v)

Defined in Universum.Container.Class

type OneItem (Map k v) = (k, v)

type OneItem (HashMap k v)

Defined in Universum.Container.Class

type OneItem (HashMap k v) = (k, v)

class One x where

Type class for types that can be created from one element. singleton is lone name for this function. Also constructions of different type differ: :[] for lists, two arguments for Maps. Also some data types are monomorphic.

>>> one True :: [Bool]
[True]
>>> one 'a' :: Text
"a"
>>> one (3, "hello") :: HashMap Int String
fromList [(3,"hello")]

Associated Types

type OneItem x

Methods

one :: OneItem x -> x

Create a list, map, Text, etc from a single element.

Instances

One ByteString

Defined in Universum.Container.Class

Associated Types

type OneItem ByteString

Methods

one :: OneItem ByteString -> ByteString

One ByteString

Defined in Universum.Container.Class

Associated Types

type OneItem ByteString

Methods

one :: OneItem ByteString -> ByteString

One IntSet

Defined in Universum.Container.Class

Associated Types

type OneItem IntSet

Methods

one :: OneItem IntSet -> IntSet

One Text

Defined in Universum.Container.Class

Associated Types

type OneItem Text

Methods

one :: OneItem Text -> Text

One Text

Defined in Universum.Container.Class

Associated Types

type OneItem Text

Methods

one :: OneItem Text -> Text

One [a]

Defined in Universum.Container.Class

Associated Types

type OneItem [a]

Methods

one :: OneItem [a] -> [a]

One (NonEmpty a)

Defined in Universum.Container.Class

Associated Types

type OneItem (NonEmpty a)

Methods

one :: OneItem (NonEmpty a) -> NonEmpty a

One (IntMap v)

Defined in Universum.Container.Class

Associated Types

type OneItem (IntMap v)

Methods

one :: OneItem (IntMap v) -> IntMap v

One (Seq a)

Defined in Universum.Container.Class

Associated Types

type OneItem (Seq a)

Methods

one :: OneItem (Seq a) -> Seq a

One (Set v)

Defined in Universum.Container.Class

Associated Types

type OneItem (Set v)

Methods

one :: OneItem (Set v) -> Set v

Prim a => One (Vector a)

Defined in Universum.Container.Class

Associated Types

type OneItem (Vector a)

Methods

one :: OneItem (Vector a) -> Vector a

Storable a => One (Vector a)

Defined in Universum.Container.Class

Associated Types

type OneItem (Vector a)

Methods

one :: OneItem (Vector a) -> Vector a

Unbox a => One (Vector a)

Defined in Universum.Container.Class

Associated Types

type OneItem (Vector a)

Methods

one :: OneItem (Vector a) -> Vector a

Hashable v => One (HashSet v)

Defined in Universum.Container.Class

Associated Types

type OneItem (HashSet v)

Methods

one :: OneItem (HashSet v) -> HashSet v

One (Vector a)

Defined in Universum.Container.Class

Associated Types

type OneItem (Vector a)

Methods

one :: OneItem (Vector a) -> Vector a

One (Map k v)

Defined in Universum.Container.Class

Associated Types

type OneItem (Map k v)

Methods

one :: OneItem (Map k v) -> Map k v

Hashable k => One (HashMap k v)

Defined in Universum.Container.Class

Associated Types

type OneItem (HashMap k v)

Methods

one :: OneItem (HashMap k v) -> HashMap k v

maybeToMonoid :: Monoid m => Maybe m -> m

Extracts Monoid value from Maybe returning mempty if Nothing.

>>> maybeToMonoid (Just [1,2,3] :: Maybe [Int])
[1,2,3]
>>> maybeToMonoid (Nothing :: Maybe [Int])
[]

executingState :: s -> State s a -> s

Alias for flip execState. It's not shorter but sometimes more readable. Done by analogy with using* functions family.

executingStateT :: Functor f => s -> StateT s f a -> f s

Alias for flip execStateT. It's not shorter but sometimes more readable. Done by analogy with using* functions family.

evaluatingState :: s -> State s a -> a

Alias for flip evalState. It's not shorter but sometimes more readable. Done by analogy with using* functions family.

evaluatingStateT :: Functor f => s -> StateT s f a -> f a

Alias for flip evalStateT. It's not shorter but sometimes more readable. Done by analogy with using* functions family.

usingState :: s -> State s a -> (a, s)

Shorter and more readable alias for flip runState.

usingStateT :: s -> StateT s m a -> m (a, s)

Shorter and more readable alias for flip runStateT.

usingReader :: r -> Reader r a -> a

Shorter and more readable alias for flip runReader.

usingReaderT :: r -> ReaderT r m a -> m a

Shorter and more readable alias for flip runReaderT.

whenRightM :: Monad m => m (Either l r) -> (r -> m ()) -> m ()

Monadic version of whenRight.

whenRight :: Applicative f => Either l r -> (r -> f ()) -> f ()

Applies given action to Either content if Right is given.

whenLeftM :: Monad m => m (Either l r) -> (l -> m ()) -> m ()

Monadic version of whenLeft.

whenLeft :: Applicative f => Either l r -> (l -> f ()) -> f ()

Applies given action to Either content if Left is given.

maybeToLeft :: r -> Maybe l -> Either l r

Maps Maybe to Either wrapping default value into Right.

>>> maybeToLeft True (Just "aba")
Left "aba"
>>> maybeToLeft True Nothing
Right True

maybeToRight :: l -> Maybe r -> Either l r

Maps Maybe to Either wrapping default value into Left.

>>> maybeToRight True (Just "aba")
Right "aba"
>>> maybeToRight True Nothing
Left True

rightToMaybe :: Either l r -> Maybe r

Maps right part of Either to Maybe.

>>> rightToMaybe (Left True)
Nothing
>>> rightToMaybe (Right "aba")
Just "aba"

leftToMaybe :: Either l r -> Maybe l

Maps left part of Either to Maybe.

>>> leftToMaybe (Left True)
Just True
>>> leftToMaybe (Right "aba")
Nothing

fromRight :: b -> Either a b -> b

Extracts value from Right or return given default value.

>>> fromRight 0 (Left 3)
0
>>> fromRight 0 (Right 5)
5

fromLeft :: a -> Either a b -> a

Extracts value from Left or return given default value.

>>> fromLeft 0 (Left 3)
3
>>> fromLeft 0 (Right 5)
0

whenNothingM_ :: Monad m => m (Maybe a) -> m () -> m ()

Monadic version of whenNothingM_.

whenNothingM :: Monad m => m (Maybe a) -> m a -> m a

Monadic version of whenNothing.

whenNothing_ :: Applicative f => Maybe a -> f () -> f ()

Performs default Applicative action if Nothing is given. Do nothing for Just. Convenient for discarding Just content.

>>> whenNothing_ Nothing $ putTextLn "Nothing!"
Nothing!
>>> whenNothing_ (Just True) $ putTextLn "Nothing!"

whenNothing :: Applicative f => Maybe a -> f a -> f a

Performs default Applicative action if Nothing is given. Otherwise returns content of Just pured to Applicative.

>>> whenNothing Nothing [True, False]
[True,False]
>>> whenNothing (Just True) [True, False]
[True]

whenJustM :: Monad m => m (Maybe a) -> (a -> m ()) -> m ()

Monadic version of whenJust.

whenJust :: Applicative f => Maybe a -> (a -> f ()) -> f ()

Specialized version of for_ for Maybe. It's used for code readability. Also helps to avoid space leaks: Foldable.mapM_ space leak.

>>> whenJust Nothing $ \b -> print (not b)
>>> whenJust (Just True) $ \b -> print (not b)
False

(?:) :: Maybe a -> a -> a infixr 0

Similar to fromMaybe but with flipped arguments.

>>> readMaybe "True" ?: False
True

>>> readMaybe "Tru" ?: False
False

atomicWriteIORef :: MonadIO m => IORef a -> a -> m ()

Lifted version of atomicWriteIORef.

atomicModifyIORef' :: MonadIO m => IORef a -> (a -> (a, b)) -> m b

Lifted version of atomicModifyIORef'.

atomicModifyIORef :: MonadIO m => IORef a -> (a -> (a, b)) -> m b

Lifted version of atomicModifyIORef.

modifyIORef' :: MonadIO m => IORef a -> (a -> a) -> m ()

Lifted version of modifyIORef'.

modifyIORef :: MonadIO m => IORef a -> (a -> a) -> m ()

Lifted version of modifyIORef.

writeIORef :: MonadIO m => IORef a -> a -> m ()

Lifted version of writeIORef.

readIORef :: MonadIO m => IORef a -> m a

Lifted version of readIORef.

newIORef :: MonadIO m => a -> m (IORef a)

Lifted version of newIORef.

withFile :: (MonadIO m, MonadMask m) => FilePath -> IOMode -> (Handle -> m a) -> m a

Opens a file, manipulates it with the provided function and closes the handle before returning. The Handle can be written to using the hPutStr and hPutStrLn functions.

withFile is essentially the bracket pattern, specialized to files. This should be preferred over openFile + hClose as it properly deals with (asynchronous) exceptions. In cases where withFile is insufficient, for instance because the it is not statically known when manipulating the Handle has finished, one should consider other safe paradigms for resource usage, such as the ResourceT transformer from the resourcet package, before resorting to openFile and hClose.

hClose :: MonadIO m => Handle -> m ()

Close a file handle

See also withFile for more information.

openFile :: MonadIO m => FilePath -> IOMode -> m Handle

Lifted version of openFile.

See also withFile for more information.

getLine :: MonadIO m => m Text

Lifted version of getLine.

appendFile :: MonadIO m => FilePath -> Text -> m ()

Lifted version of appendFile.

die :: MonadIO m => String -> m a

Lifted version of die. die is available since base-4.8, but it's more convenient to redefine it instead of using CPP.

exitSuccess :: MonadIO m => m a

Lifted version of exitSuccess.

exitFailure :: MonadIO m => m a

Lifted version of exitFailure.

exitWith :: MonadIO m => ExitCode -> m a

Lifted version of exitWith.

readTVarIO :: MonadIO m => TVar a -> m a

Lifted to MonadIO version of readTVarIO.

newTVarIO :: MonadIO m => a -> m (TVar a)

Lifted to MonadIO version of newTVarIO.

atomically :: MonadIO m => STM a -> m a

Lifted to MonadIO version of atomically.

tryTakeMVar :: MonadIO m => MVar a -> m (Maybe a)

Lifted to MonadIO version of tryTakeMVar.

tryReadMVar :: MonadIO m => MVar a -> m (Maybe a)

Lifted to MonadIO version of tryReadMVar.

tryPutMVar :: MonadIO m => MVar a -> a -> m Bool

Lifted to MonadIO version of tryPutMVar.

takeMVar :: MonadIO m => MVar a -> m a

Lifted to MonadIO version of takeMVar.

swapMVar :: MonadIO m => MVar a -> a -> m a

Lifted to MonadIO version of swapMVar.

readMVar :: MonadIO m => MVar a -> m a

Lifted to MonadIO version of readMVar.

putMVar :: MonadIO m => MVar a -> a -> m ()

Lifted to MonadIO version of putMVar.

newMVar :: MonadIO m => a -> m (MVar a)

Lifted to MonadIO version of newMVar.

newEmptyMVar :: MonadIO m => m (MVar a)

Lifted to MonadIO version of newEmptyMVar.

(<<$>>) :: (Functor f, Functor g) => (a -> b) -> f (g a) -> f (g b) infixl 4

Alias for fmap . fmap. Convenient to work with two nested Functors.

>>> negate <<$>> Just [1,2,3]
Just [-1,-2,-3]

map :: Functor f => (a -> b) -> f a -> f b

map generalized to Functor.

>>> map not (Just True)
Just False
>>> map not [True,False,True,True]
[False,True,False,False]

($!) :: (a -> b) -> a -> b infixr 0

Stricter version of $ operator. Default Prelude defines this at the toplevel module, so we do as well.

>>> const 3 $ Prelude.undefined
3
>>> const 3 $! Prelude.undefined
*** Exception: Prelude.undefined
CallStack (from HasCallStack):
  error, called at libraries/base/GHC/Err.hs:79:14 in base:GHC.Err
...

pass :: Applicative f => f ()

Shorter alias for pure ().

>>> pass :: Maybe ()
Just ()

for :: (Traversable t, Applicative f) => t a -> (a -> f b) -> f (t b)

for is traverse with its arguments flipped. For a version that ignores the results see for_.

Overloaded boolean operators

module Morley.Prelude.Boolean