basic-prelude-0.7.0: An enhanced core prelude; a common foundation for alternate preludes.
Safe HaskellSafe-Inferred
LanguageHaskell2010

CorePrelude

Synopsis

Standard

Operators

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

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

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

Strict (call-by-value) application operator. It takes a function and an argument, evaluates the argument to weak head normal form (WHNF), then calls the function with that value.

(&&) :: Bool -> Bool -> Bool infixr 3 Source #

Boolean "and", lazy in the second argument

(||) :: Bool -> Bool -> Bool infixr 2 Source #

Boolean "or", lazy in the second argument

(.) :: forall (b :: k) (c :: k) (a :: k). Category cat => cat b c -> cat a b -> cat a c infixr 9 Source #

morphism composition

Functions

not :: Bool -> Bool Source #

Boolean "not"

otherwise :: Bool Source #

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

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

fst :: (a, b) -> a Source #

Extract the first component of a pair.

snd :: (a, b) -> b Source #

Extract the second component of a pair.

id :: forall (a :: k). Category cat => cat a a Source #

the identity morphism

maybe :: b -> (a -> b) -> Maybe a -> b Source #

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

Expand

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
""

either :: (a -> c) -> (b -> c) -> Either a b -> c Source #

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

Expand

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

flip :: (a -> b -> c) -> b -> a -> c Source #

flip f takes its (first) two arguments in the reverse order of f.

>>> flip (++) "hello" "world"
"worldhello"

const :: a -> b -> a Source #

const x y always evaluates to x, ignoring its second argument.

>>> const 42 "hello"
42
>>> map (const 42) [0..3]
[42,42,42,42]

error :: forall (r :: RuntimeRep) (a :: TYPE r). HasCallStack => [Char] -> a Source #

error stops execution and displays an error message.

putStr :: MonadIO m => Text -> m () Source #

putStrLn :: MonadIO m => Text -> m () Source #

print :: (MonadIO m, Show a) => a -> m () Source #

terror :: HasCallStack => Text -> a Source #

error applied to Text

Since 0.4.1

odd :: Integral a => a -> Bool Source #

even :: Integral a => a -> Bool Source #

uncurry :: (a -> b -> c) -> (a, b) -> c Source #

uncurry converts a curried function to a function on pairs.

Examples

Expand
>>> 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 Source #

curry converts an uncurried function to a curried function.

Examples

Expand
>>> curry fst 1 2
1

swap :: (a, b) -> (b, a) Source #

Swap the components of a pair.

until :: (a -> Bool) -> (a -> a) -> a -> a Source #

until p f yields the result of applying f until p holds.

asTypeOf :: a -> a -> a Source #

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.

undefined :: forall (r :: RuntimeRep) (a :: TYPE r). HasCallStack => a Source #

A special case of error. It is expected that compilers will recognize this and insert error messages which are more appropriate to the context in which undefined appears.

seq :: forall {r :: RuntimeRep} a (b :: TYPE r). a -> b -> b infixr 0 Source #

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.

Type classes

class Eq a => Ord a where Source #

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.

Ord, as defined by the Haskell report, implements a total order and has the following properties:

Comparability
x <= y || y <= x = True
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

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 Source #

(<) :: a -> a -> Bool infix 4 Source #

(<=) :: a -> a -> Bool infix 4 Source #

(>) :: a -> a -> Bool infix 4 Source #

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

max :: a -> a -> a Source #

min :: a -> a -> a Source #

Instances

Instances details
Ord SomeTypeRep 
Instance details

Defined in Data.Typeable.Internal

Ord Version

Since: base-2.1

Instance details

Defined in Data.Version

Ord CBool 
Instance details

Defined in Foreign.C.Types

Ord CChar 
Instance details

Defined in Foreign.C.Types

Ord CClock 
Instance details

Defined in Foreign.C.Types

Ord CDouble 
Instance details

Defined in Foreign.C.Types

Ord CFloat 
Instance details

Defined in Foreign.C.Types

Ord CInt 
Instance details

Defined in Foreign.C.Types

Ord CIntMax 
Instance details

Defined in Foreign.C.Types

Ord CIntPtr 
Instance details

Defined in Foreign.C.Types

Ord CLLong 
Instance details

Defined in Foreign.C.Types

Ord CLong 
Instance details

Defined in Foreign.C.Types

Ord CPtrdiff 
Instance details

Defined in Foreign.C.Types

Ord CSChar 
Instance details

Defined in Foreign.C.Types

Ord CSUSeconds 
Instance details

Defined in Foreign.C.Types

Ord CShort 
Instance details

Defined in Foreign.C.Types

Ord CSigAtomic 
Instance details

Defined in Foreign.C.Types

Ord CSize 
Instance details

Defined in Foreign.C.Types

Ord CTime 
Instance details

Defined in Foreign.C.Types

Ord CUChar 
Instance details

Defined in Foreign.C.Types

Ord CUInt 
Instance details

Defined in Foreign.C.Types

Ord CUIntMax 
Instance details

Defined in Foreign.C.Types

Ord CUIntPtr 
Instance details

Defined in Foreign.C.Types

Ord CULLong 
Instance details

Defined in Foreign.C.Types

Ord CULong 
Instance details

Defined in Foreign.C.Types

Ord CUSeconds 
Instance details

Defined in Foreign.C.Types

Ord CUShort 
Instance details

Defined in Foreign.C.Types

Ord CWchar 
Instance details

Defined in Foreign.C.Types

Ord Void

Since: base-4.8.0.0

Instance details

Defined in GHC.Base

Ord ArithException

Since: base-3.0

Instance details

Defined in GHC.Exception.Type

Ord Associativity

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Ord DecidedStrictness

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Ord Fixity

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Ord SourceStrictness

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Ord SourceUnpackedness

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Ord ArrayException

Since: base-4.2.0.0

Instance details

Defined in GHC.IO.Exception

Ord AsyncException

Since: base-4.2.0.0

Instance details

Defined in GHC.IO.Exception

Ord ExitCode 
Instance details

Defined in GHC.IO.Exception

Ord BufferMode

Since: base-4.2.0.0

Instance details

Defined in GHC.IO.Handle.Types

Ord Newline

Since: base-4.3.0.0

Instance details

Defined in GHC.IO.Handle.Types

Ord NewlineMode

Since: base-4.3.0.0

Instance details

Defined in GHC.IO.Handle.Types

Ord Int16

Since: base-2.1

Instance details

Defined in GHC.Int

Ord Int32

Since: base-2.1

Instance details

Defined in GHC.Int

Ord Int64

Since: base-2.1

Instance details

Defined in GHC.Int

Ord Int8

Since: base-2.1

Instance details

Defined in GHC.Int

Ord Word16

Since: base-2.1

Instance details

Defined in GHC.Word

Ord Word32

Since: base-2.1

Instance details

Defined in GHC.Word

Ord Word64

Since: base-2.1

Instance details

Defined in GHC.Word

Ord Word8

Since: base-2.1

Instance details

Defined in GHC.Word

Ord ByteString 
Instance details

Defined in Data.ByteString.Internal.Type

Ord ByteString 
Instance details

Defined in Data.ByteString.Lazy.Internal

Ord ShortByteString 
Instance details

Defined in Data.ByteString.Short.Internal

Ord IntSet 
Instance details

Defined in Data.IntSet.Internal

Ord OsChar

Byte ordering of the internal representation.

Instance details

Defined in System.OsString.Internal.Types.Hidden

Ord OsString

Byte ordering of the internal representation.

Instance details

Defined in System.OsString.Internal.Types.Hidden

Ord PosixChar 
Instance details

Defined in System.OsString.Internal.Types.Hidden

Ord PosixString 
Instance details

Defined in System.OsString.Internal.Types.Hidden

Ord WindowsChar 
Instance details

Defined in System.OsString.Internal.Types.Hidden

Ord WindowsString 
Instance details

Defined in System.OsString.Internal.Types.Hidden

Ord Extension 
Instance details

Defined in GHC.LanguageExtensions.Type

Ord Ordering 
Instance details

Defined in GHC.Classes

Ord TyCon 
Instance details

Defined in GHC.Classes

Ord OsChar 
Instance details

Defined in System.OsString.Internal.Types

Methods

compare :: OsChar -> OsChar -> Ordering Source #

(<) :: OsChar -> OsChar -> Bool Source #

(<=) :: OsChar -> OsChar -> Bool Source #

(>) :: OsChar -> OsChar -> Bool Source #

(>=) :: OsChar -> OsChar -> Bool Source #

max :: OsChar -> OsChar -> OsChar Source #

min :: OsChar -> OsChar -> OsChar Source #

Ord OsString 
Instance details

Defined in System.OsString.Internal.Types

Methods

compare :: OsString -> OsString -> Ordering Source #

(<) :: OsString -> OsString -> Bool Source #

(<=) :: OsString -> OsString -> Bool Source #

(>) :: OsString -> OsString -> Bool Source #

(>=) :: OsString -> OsString -> Bool Source #

max :: OsString -> OsString -> OsString Source #

min :: OsString -> OsString -> OsString Source #

Ord PosixChar 
Instance details

Defined in System.OsString.Internal.Types

Methods

compare :: PosixChar -> PosixChar -> Ordering Source #

(<) :: PosixChar -> PosixChar -> Bool Source #

(<=) :: PosixChar -> PosixChar -> Bool Source #

(>) :: PosixChar -> PosixChar -> Bool Source #

(>=) :: PosixChar -> PosixChar -> Bool Source #

max :: PosixChar -> PosixChar -> PosixChar Source #

min :: PosixChar -> PosixChar -> PosixChar Source #

Ord PosixString 
Instance details

Defined in System.OsString.Internal.Types

Methods

compare :: PosixString -> PosixString -> Ordering Source #

(<) :: PosixString -> PosixString -> Bool Source #

(<=) :: PosixString -> PosixString -> Bool Source #

(>) :: PosixString -> PosixString -> Bool Source #

(>=) :: PosixString -> PosixString -> Bool Source #

max :: PosixString -> PosixString -> PosixString Source #

min :: PosixString -> PosixString -> PosixString Source #

Ord WindowsChar 
Instance details

Defined in System.OsString.Internal.Types

Methods

compare :: WindowsChar -> WindowsChar -> Ordering Source #

(<) :: WindowsChar -> WindowsChar -> Bool Source #

(<=) :: WindowsChar -> WindowsChar -> Bool Source #

(>) :: WindowsChar -> WindowsChar -> Bool Source #

(>=) :: WindowsChar -> WindowsChar -> Bool Source #

max :: WindowsChar -> WindowsChar -> WindowsChar Source #

min :: WindowsChar -> WindowsChar -> WindowsChar Source #

Ord WindowsString 
Instance details

Defined in System.OsString.Internal.Types

Methods

compare :: WindowsString -> WindowsString -> Ordering Source #

(<) :: WindowsString -> WindowsString -> Bool Source #

(<=) :: WindowsString -> WindowsString -> Bool Source #

(>) :: WindowsString -> WindowsString -> Bool Source #

(>=) :: WindowsString -> WindowsString -> Bool Source #

max :: WindowsString -> WindowsString -> WindowsString Source #

min :: WindowsString -> WindowsString -> WindowsString Source #

Ord AnnLookup 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord AnnTarget 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord Bang 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord Body 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord Bytes 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord Callconv 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord Clause 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord Con 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

compare :: Con -> Con -> Ordering Source #

(<) :: Con -> Con -> Bool Source #

(<=) :: Con -> Con -> Bool Source #

(>) :: Con -> Con -> Bool Source #

(>=) :: Con -> Con -> Bool Source #

max :: Con -> Con -> Con Source #

min :: Con -> Con -> Con Source #

Ord Dec 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

compare :: Dec -> Dec -> Ordering Source #

(<) :: Dec -> Dec -> Bool Source #

(<=) :: Dec -> Dec -> Bool Source #

(>) :: Dec -> Dec -> Bool Source #

(>=) :: Dec -> Dec -> Bool Source #

max :: Dec -> Dec -> Dec Source #

min :: Dec -> Dec -> Dec Source #

Ord DecidedStrictness 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord DerivClause 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord DerivStrategy 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord DocLoc 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord Exp 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

compare :: Exp -> Exp -> Ordering Source #

(<) :: Exp -> Exp -> Bool Source #

(<=) :: Exp -> Exp -> Bool Source #

(>) :: Exp -> Exp -> Bool Source #

(>=) :: Exp -> Exp -> Bool Source #

max :: Exp -> Exp -> Exp Source #

min :: Exp -> Exp -> Exp Source #

Ord FamilyResultSig 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord Fixity 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord FixityDirection 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord Foreign 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord FunDep 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord Guard 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord Info 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord InjectivityAnn 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord Inline 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord Lit 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

compare :: Lit -> Lit -> Ordering Source #

(<) :: Lit -> Lit -> Bool Source #

(<=) :: Lit -> Lit -> Bool Source #

(>) :: Lit -> Lit -> Bool Source #

(>=) :: Lit -> Lit -> Bool Source #

max :: Lit -> Lit -> Lit Source #

min :: Lit -> Lit -> Lit Source #

Ord Loc 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

compare :: Loc -> Loc -> Ordering Source #

(<) :: Loc -> Loc -> Bool Source #

(<=) :: Loc -> Loc -> Bool Source #

(>) :: Loc -> Loc -> Bool Source #

(>=) :: Loc -> Loc -> Bool Source #

max :: Loc -> Loc -> Loc Source #

min :: Loc -> Loc -> Loc Source #

Ord Match 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord ModName 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord Module 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord ModuleInfo 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord Name 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord NameFlavour 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord NameSpace 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord OccName 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord Overlap 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord Pat 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

compare :: Pat -> Pat -> Ordering Source #

(<) :: Pat -> Pat -> Bool Source #

(<=) :: Pat -> Pat -> Bool Source #

(>) :: Pat -> Pat -> Bool Source #

(>=) :: Pat -> Pat -> Bool Source #

max :: Pat -> Pat -> Pat Source #

min :: Pat -> Pat -> Pat Source #

Ord PatSynArgs 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord PatSynDir 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord Phases 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord PkgName 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord Pragma 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord Range 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord Role 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord RuleBndr 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord RuleMatch 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord Safety 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord SourceStrictness 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord SourceUnpackedness 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord Specificity 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord Stmt 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord TyLit 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord TySynEqn 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord Type 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord TypeFamilyHead 
Instance details

Defined in Language.Haskell.TH.Syntax

Ord Integer 
Instance details

Defined in GHC.Num.Integer

Ord () 
Instance details

Defined in GHC.Classes

Methods

compare :: () -> () -> Ordering Source #

(<) :: () -> () -> Bool Source #

(<=) :: () -> () -> Bool Source #

(>) :: () -> () -> Bool Source #

(>=) :: () -> () -> Bool Source #

max :: () -> () -> () Source #

min :: () -> () -> () Source #

Ord Bool 
Instance details

Defined in GHC.Classes

Ord Char 
Instance details

Defined in GHC.Classes

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
Instance details

Defined in GHC.Classes

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
Instance details

Defined in GHC.Classes

Ord Int 
Instance details

Defined in GHC.Classes

Methods

compare :: Int -> Int -> Ordering Source #

(<) :: Int -> Int -> Bool Source #

(<=) :: Int -> Int -> Bool Source #

(>) :: Int -> Int -> Bool Source #

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

max :: Int -> Int -> Int Source #

min :: Int -> Int -> Int Source #

Ord Word 
Instance details

Defined in GHC.Classes

Ord a => Ord (ZipList a)

Since: base-4.7.0.0

Instance details

Defined in Control.Applicative

Ord a => Ord (First a)

Since: base-2.1

Instance details

Defined in Data.Monoid

Methods

compare :: First a -> First a -> Ordering Source #

(<) :: First a -> First a -> Bool Source #

(<=) :: First a -> First a -> Bool Source #

(>) :: First a -> First a -> Bool Source #

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

max :: First a -> First a -> First a Source #

min :: First a -> First a -> First a Source #

Ord a => Ord (Last a)

Since: base-2.1

Instance details

Defined in Data.Monoid

Methods

compare :: Last a -> Last a -> Ordering Source #

(<) :: Last a -> Last a -> Bool Source #

(<=) :: Last a -> Last a -> Bool Source #

(>) :: Last a -> Last a -> Bool Source #

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

max :: Last a -> Last a -> Last a Source #

min :: Last a -> Last a -> Last a Source #

Ord a => Ord (Down a)

Since: base-4.6.0.0

Instance details

Defined in Data.Ord

Methods

compare :: Down a -> Down a -> Ordering Source #

(<) :: Down a -> Down a -> Bool Source #

(<=) :: Down a -> Down a -> Bool Source #

(>) :: Down a -> Down a -> Bool Source #

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

max :: Down a -> Down a -> Down a Source #

min :: Down a -> Down a -> Down a Source #

Ord a => Ord (NonEmpty a)

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Ord p => Ord (Par1 p)

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Methods

compare :: Par1 p -> Par1 p -> Ordering Source #

(<) :: Par1 p -> Par1 p -> Bool Source #

(<=) :: Par1 p -> Par1 p -> Bool Source #

(>) :: Par1 p -> Par1 p -> Bool Source #

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

max :: Par1 p -> Par1 p -> Par1 p Source #

min :: Par1 p -> Par1 p -> Par1 p Source #

Integral a => Ord (Ratio a)

Since: base-2.0.1

Instance details

Defined in GHC.Real

Methods

compare :: Ratio a -> Ratio a -> Ordering Source #

(<) :: Ratio a -> Ratio a -> Bool Source #

(<=) :: Ratio a -> Ratio a -> Bool Source #

(>) :: Ratio a -> Ratio a -> Bool Source #

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

max :: Ratio a -> Ratio a -> Ratio a Source #

min :: Ratio a -> Ratio a -> Ratio a Source #

Ord a => Ord (IntMap a) 
Instance details

Defined in Data.IntMap.Internal

Methods

compare :: IntMap a -> IntMap a -> Ordering Source #

(<) :: IntMap a -> IntMap a -> Bool Source #

(<=) :: IntMap a -> IntMap a -> Bool Source #

(>) :: IntMap a -> IntMap a -> Bool Source #

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

max :: IntMap a -> IntMap a -> IntMap a Source #

min :: IntMap a -> IntMap a -> IntMap a Source #

Ord a => Ord (Seq a) 
Instance details

Defined in Data.Sequence.Internal

Methods

compare :: Seq a -> Seq a -> Ordering Source #

(<) :: Seq a -> Seq a -> Bool Source #

(<=) :: Seq a -> Seq a -> Bool Source #

(>) :: Seq a -> Seq a -> Bool Source #

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

max :: Seq a -> Seq a -> Seq a Source #

min :: Seq a -> Seq a -> Seq a Source #

Ord a => Ord (ViewL a) 
Instance details

Defined in Data.Sequence.Internal

Methods

compare :: ViewL a -> ViewL a -> Ordering Source #

(<) :: ViewL a -> ViewL a -> Bool Source #

(<=) :: ViewL a -> ViewL a -> Bool Source #

(>) :: ViewL a -> ViewL a -> Bool Source #

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

max :: ViewL a -> ViewL a -> ViewL a Source #

min :: ViewL a -> ViewL a -> ViewL a Source #

Ord a => Ord (ViewR a) 
Instance details

Defined in Data.Sequence.Internal

Methods

compare :: ViewR a -> ViewR a -> Ordering Source #

(<) :: ViewR a -> ViewR a -> Bool Source #

(<=) :: ViewR a -> ViewR a -> Bool Source #

(>) :: ViewR a -> ViewR a -> Bool Source #

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

max :: ViewR a -> ViewR a -> ViewR a Source #

min :: ViewR a -> ViewR a -> ViewR a Source #

Ord a => Ord (Intersection a) 
Instance details

Defined in Data.Set.Internal

Ord a => Ord (Set a) 
Instance details

Defined in Data.Set.Internal

Methods

compare :: Set a -> Set a -> Ordering Source #

(<) :: Set a -> Set a -> Bool Source #

(<=) :: Set a -> Set a -> Bool Source #

(>) :: Set a -> Set a -> Bool Source #

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

max :: Set a -> Set a -> Set a Source #

min :: Set a -> Set a -> Set a Source #

Ord a => Ord (Tree a)

Since: containers-0.6.5

Instance details

Defined in Data.Tree

Methods

compare :: Tree a -> Tree a -> Ordering Source #

(<) :: Tree a -> Tree a -> Bool Source #

(<=) :: Tree a -> Tree a -> Bool Source #

(>) :: Tree a -> Tree a -> Bool Source #

(>=) :: Tree a -> Tree a -> Bool Source #

max :: Tree a -> Tree a -> Tree a Source #

min :: Tree a -> Tree a -> Tree a Source #

Ord a => Ord (Hashed a) 
Instance details

Defined in Data.Hashable.Class

Methods

compare :: Hashed a -> Hashed a -> Ordering Source #

(<) :: Hashed a -> Hashed a -> Bool Source #

(<=) :: Hashed a -> Hashed a -> Bool Source #

(>) :: Hashed a -> Hashed a -> Bool Source #

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

max :: Hashed a -> Hashed a -> Hashed a Source #

min :: Hashed a -> Hashed a -> Hashed a Source #

Ord a => Ord (Array a) 
Instance details

Defined in Data.Primitive.Array

Methods

compare :: Array a -> Array a -> Ordering Source #

(<) :: Array a -> Array a -> Bool Source #

(<=) :: Array a -> Array a -> Bool Source #

(>) :: Array a -> Array a -> Bool Source #

(>=) :: Array a -> Array a -> Bool Source #

max :: Array a -> Array a -> Array a Source #

min :: Array a -> Array a -> Array a Source #

(Ord a, Prim a) => Ord (PrimArray a) 
Instance details

Defined in Data.Primitive.PrimArray

Methods

compare :: PrimArray a -> PrimArray a -> Ordering Source #

(<) :: PrimArray a -> PrimArray a -> Bool Source #

(<=) :: PrimArray a -> PrimArray a -> Bool Source #

(>) :: PrimArray a -> PrimArray a -> Bool Source #

(>=) :: PrimArray a -> PrimArray a -> Bool Source #

max :: PrimArray a -> PrimArray a -> PrimArray a Source #

min :: PrimArray a -> PrimArray a -> PrimArray a Source #

Ord a => Ord (SmallArray a) 
Instance details

Defined in Data.Primitive.SmallArray

Methods

compare :: SmallArray a -> SmallArray a -> Ordering Source #

(<) :: SmallArray a -> SmallArray a -> Bool Source #

(<=) :: SmallArray a -> SmallArray a -> Bool Source #

(>) :: SmallArray a -> SmallArray a -> Bool Source #

(>=) :: SmallArray a -> SmallArray a -> Bool Source #

max :: SmallArray a -> SmallArray a -> SmallArray a Source #

min :: SmallArray a -> SmallArray a -> SmallArray a Source #

Ord flag => Ord (TyVarBndr flag) 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

compare :: TyVarBndr flag -> TyVarBndr flag -> Ordering Source #

(<) :: TyVarBndr flag -> TyVarBndr flag -> Bool Source #

(<=) :: TyVarBndr flag -> TyVarBndr flag -> Bool Source #

(>) :: TyVarBndr flag -> TyVarBndr flag -> Bool Source #

(>=) :: TyVarBndr flag -> TyVarBndr flag -> Bool Source #

max :: TyVarBndr flag -> TyVarBndr flag -> TyVarBndr flag Source #

min :: TyVarBndr flag -> TyVarBndr flag -> TyVarBndr flag Source #

Ord a => Ord (HashSet a) 
Instance details

Defined in Data.HashSet.Internal

Ord a => Ord (Vector a) 
Instance details

Defined in Data.Vector

Methods

compare :: Vector a -> Vector a -> Ordering Source #

(<) :: Vector a -> Vector a -> Bool Source #

(<=) :: Vector a -> Vector a -> Bool Source #

(>) :: Vector a -> Vector a -> Bool Source #

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

max :: Vector a -> Vector a -> Vector a Source #

min :: Vector a -> Vector a -> Vector a Source #

(Prim a, Ord a) => Ord (Vector a) 
Instance details

Defined in Data.Vector.Primitive

Methods

compare :: Vector a -> Vector a -> Ordering Source #

(<) :: Vector a -> Vector a -> Bool Source #

(<=) :: Vector a -> Vector a -> Bool Source #

(>) :: Vector a -> Vector a -> Bool Source #

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

max :: Vector a -> Vector a -> Vector a Source #

min :: Vector a -> Vector a -> Vector a Source #

(Storable a, Ord a) => Ord (Vector a) 
Instance details

Defined in Data.Vector.Storable

Methods

compare :: Vector a -> Vector a -> Ordering Source #

(<) :: Vector a -> Vector a -> Bool Source #

(<=) :: Vector a -> Vector a -> Bool Source #

(>) :: Vector a -> Vector a -> Bool Source #

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

max :: Vector a -> Vector a -> Vector a Source #

min :: Vector a -> Vector a -> Vector a Source #

Ord a => Ord (Maybe a)

Since: base-2.1

Instance details

Defined in GHC.Maybe

Methods

compare :: Maybe a -> Maybe a -> Ordering Source #

(<) :: Maybe a -> Maybe a -> Bool Source #

(<=) :: Maybe a -> Maybe a -> Bool Source #

(>) :: Maybe a -> Maybe a -> Bool Source #

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

max :: Maybe a -> Maybe a -> Maybe a Source #

min :: Maybe a -> Maybe a -> Maybe a Source #

Ord a => Ord (a) 
Instance details

Defined in GHC.Classes

Methods

compare :: (a) -> (a) -> Ordering Source #

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

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

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

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

max :: (a) -> (a) -> (a) Source #

min :: (a) -> (a) -> (a) Source #

Ord a => Ord [a] 
Instance details

Defined in GHC.Classes

Methods

compare :: [a] -> [a] -> Ordering Source #

(<) :: [a] -> [a] -> Bool Source #

(<=) :: [a] -> [a] -> Bool Source #

(>) :: [a] -> [a] -> Bool Source #

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

max :: [a] -> [a] -> [a] Source #

min :: [a] -> [a] -> [a] Source #

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

Since: base-2.1

Instance details

Defined in Data.Either

Methods

compare :: Either a b -> Either a b -> Ordering Source #

(<) :: Either a b -> Either a b -> Bool Source #

(<=) :: Either a b -> Either a b -> Bool Source #

(>) :: Either a b -> Either a b -> Bool Source #

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

max :: Either a b -> Either a b -> Either a b Source #

min :: Either a b -> Either a b -> Either a b Source #

Ord (TypeRep a)

Since: base-4.4.0.0

Instance details

Defined in Data.Typeable.Internal

Ord (U1 p)

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Methods

compare :: U1 p -> U1 p -> Ordering Source #

(<) :: U1 p -> U1 p -> Bool Source #

(<=) :: U1 p -> U1 p -> Bool Source #

(>) :: U1 p -> U1 p -> Bool Source #

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

max :: U1 p -> U1 p -> U1 p Source #

min :: U1 p -> U1 p -> U1 p Source #

Ord (V1 p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

compare :: V1 p -> V1 p -> Ordering Source #

(<) :: V1 p -> V1 p -> Bool Source #

(<=) :: V1 p -> V1 p -> Bool Source #

(>) :: V1 p -> V1 p -> Bool Source #

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

max :: V1 p -> V1 p -> V1 p Source #

min :: V1 p -> V1 p -> V1 p Source #

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

Defined in Data.Map.Internal

Methods

compare :: Map k v -> Map k v -> Ordering Source #

(<) :: Map k v -> Map k v -> Bool Source #

(<=) :: Map k v -> Map k v -> Bool Source #

(>) :: Map k v -> Map k v -> Bool Source #

(>=) :: Map k v -> Map k v -> Bool Source #

max :: Map k v -> Map k v -> Map k v Source #

min :: Map k v -> Map k v -> Map k v Source #

(Ord1 m, Ord a) => Ord (MaybeT m a) 
Instance details

Defined in Control.Monad.Trans.Maybe

Methods

compare :: MaybeT m a -> MaybeT m a -> Ordering Source #

(<) :: MaybeT m a -> MaybeT m a -> Bool Source #

(<=) :: MaybeT m a -> MaybeT m a -> Bool Source #

(>) :: MaybeT m a -> MaybeT m a -> Bool Source #

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

max :: MaybeT m a -> MaybeT m a -> MaybeT m a Source #

min :: MaybeT m a -> MaybeT m a -> MaybeT m a Source #

(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.

Instance details

Defined in Data.HashMap.Internal

Methods

compare :: HashMap k v -> HashMap k v -> Ordering Source #

(<) :: HashMap k v -> HashMap k v -> Bool Source #

(<=) :: HashMap k v -> HashMap k v -> Bool Source #

(>) :: HashMap k v -> HashMap k v -> Bool Source #

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

max :: HashMap k v -> HashMap k v -> HashMap k v Source #

min :: HashMap k v -> HashMap k v -> HashMap k v Source #

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

Defined in GHC.Classes

Methods

compare :: (a, b) -> (a, b) -> Ordering Source #

(<) :: (a, b) -> (a, b) -> Bool Source #

(<=) :: (a, b) -> (a, b) -> Bool Source #

(>) :: (a, b) -> (a, b) -> Bool Source #

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

max :: (a, b) -> (a, b) -> (a, b) Source #

min :: (a, b) -> (a, b) -> (a, b) Source #

Ord a => Ord (Const a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Methods

compare :: Const a b -> Const a b -> Ordering Source #

(<) :: Const a b -> Const a b -> Bool Source #

(<=) :: Const a b -> Const a b -> Bool Source #

(>) :: Const a b -> Const a b -> Bool Source #

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

max :: Const a b -> Const a b -> Const a b Source #

min :: Const a b -> Const a b -> Const a b Source #

Ord (f a) => Ord (Ap f a)

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

compare :: Ap f a -> Ap f a -> Ordering Source #

(<) :: Ap f a -> Ap f a -> Bool Source #

(<=) :: Ap f a -> Ap f a -> Bool Source #

(>) :: Ap f a -> Ap f a -> Bool Source #

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

max :: Ap f a -> Ap f a -> Ap f a Source #

min :: Ap f a -> Ap f a -> Ap f a Source #

(Generic1 f, Ord (Rep1 f a)) => Ord (Generically1 f a)

Since: base-4.18.0.0

Instance details

Defined in GHC.Generics

Ord (f p) => Ord (Rec1 f p)

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Methods

compare :: Rec1 f p -> Rec1 f p -> Ordering Source #

(<) :: Rec1 f p -> Rec1 f p -> Bool Source #

(<=) :: Rec1 f p -> Rec1 f p -> Bool Source #

(>) :: Rec1 f p -> Rec1 f p -> Bool Source #

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

max :: Rec1 f p -> Rec1 f p -> Rec1 f p Source #

min :: Rec1 f p -> Rec1 f p -> Rec1 f p Source #

Ord (URec (Ptr ()) p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

compare :: URec (Ptr ()) p -> URec (Ptr ()) p -> Ordering Source #

(<) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool Source #

(<=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool Source #

(>) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool Source #

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

max :: URec (Ptr ()) p -> URec (Ptr ()) p -> URec (Ptr ()) p Source #

min :: URec (Ptr ()) p -> URec (Ptr ()) p -> URec (Ptr ()) p Source #

Ord (URec Char p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

compare :: URec Char p -> URec Char p -> Ordering Source #

(<) :: URec Char p -> URec Char p -> Bool Source #

(<=) :: URec Char p -> URec Char p -> Bool Source #

(>) :: URec Char p -> URec Char p -> Bool Source #

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

max :: URec Char p -> URec Char p -> URec Char p Source #

min :: URec Char p -> URec Char p -> URec Char p Source #

Ord (URec Double p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Ord (URec Float p) 
Instance details

Defined in GHC.Generics

Ord (URec Int p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

compare :: URec Int p -> URec Int p -> Ordering Source #

(<) :: URec Int p -> URec Int p -> Bool Source #

(<=) :: URec Int p -> URec Int p -> Bool Source #

(>) :: URec Int p -> URec Int p -> Bool Source #

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

max :: URec Int p -> URec Int p -> URec Int p Source #

min :: URec Int p -> URec Int p -> URec Int p Source #

Ord (URec Word p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

compare :: URec Word p -> URec Word p -> Ordering Source #

(<) :: URec Word p -> URec Word p -> Bool Source #

(<=) :: URec Word p -> URec Word p -> Bool Source #

(>) :: URec Word p -> URec Word p -> Bool Source #

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

max :: URec Word p -> URec Word p -> URec Word p Source #

min :: URec Word p -> URec Word p -> URec Word p Source #

(Ord e, Ord1 m, Ord a) => Ord (ExceptT e m a) 
Instance details

Defined in Control.Monad.Trans.Except

Methods

compare :: ExceptT e m a -> ExceptT e m a -> Ordering Source #

(<) :: ExceptT e m a -> ExceptT e m a -> Bool Source #

(<=) :: ExceptT e m a -> ExceptT e m a -> Bool Source #

(>) :: ExceptT e m a -> ExceptT e m a -> Bool Source #

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

max :: ExceptT e m a -> ExceptT e m a -> ExceptT e m a Source #

min :: ExceptT e m a -> ExceptT e m a -> ExceptT e m a Source #

(Ord1 f, Ord a) => Ord (IdentityT f a) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

compare :: IdentityT f a -> IdentityT f a -> Ordering Source #

(<) :: IdentityT f a -> IdentityT f a -> Bool Source #

(<=) :: IdentityT f a -> IdentityT f a -> Bool Source #

(>) :: IdentityT f a -> IdentityT f a -> Bool Source #

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

max :: IdentityT f a -> IdentityT f a -> IdentityT f a Source #

min :: IdentityT f a -> IdentityT f a -> IdentityT f a Source #

(Ord w, Ord1 m, Ord a) => Ord (WriterT w m a) 
Instance details

Defined in Control.Monad.Trans.Writer.Lazy

Methods

compare :: WriterT w m a -> WriterT w m a -> Ordering Source #

(<) :: WriterT w m a -> WriterT w m a -> Bool Source #

(<=) :: WriterT w m a -> WriterT w m a -> Bool Source #

(>) :: WriterT w m a -> WriterT w m a -> Bool Source #

(>=) :: WriterT w m a -> WriterT w m a -> Bool Source #

max :: WriterT w m a -> WriterT w m a -> WriterT w m a Source #

min :: WriterT w m a -> WriterT w m a -> WriterT w m a Source #

(Ord w, Ord1 m, Ord a) => Ord (WriterT w m a) 
Instance details

Defined in Control.Monad.Trans.Writer.Strict

Methods

compare :: WriterT w m a -> WriterT w m a -> Ordering Source #

(<) :: WriterT w m a -> WriterT w m a -> Bool Source #

(<=) :: WriterT w m a -> WriterT w m a -> Bool Source #

(>) :: WriterT w m a -> WriterT w m a -> Bool Source #

(>=) :: WriterT w m a -> WriterT w m a -> Bool Source #

max :: WriterT w m a -> WriterT w m a -> WriterT w m a Source #

min :: WriterT w m a -> WriterT w m a -> WriterT w m a Source #

(Ord a, Ord b, Ord c) => Ord (a, b, c) 
Instance details

Defined in GHC.Classes

Methods

compare :: (a, b, c) -> (a, b, c) -> Ordering Source #

(<) :: (a, b, c) -> (a, b, c) -> Bool Source #

(<=) :: (a, b, c) -> (a, b, c) -> Bool Source #

(>) :: (a, b, c) -> (a, b, c) -> Bool Source #

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

max :: (a, b, c) -> (a, b, c) -> (a, b, c) Source #

min :: (a, b, c) -> (a, b, c) -> (a, b, c) Source #

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

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Methods

compare :: (f :*: g) p -> (f :*: g) p -> Ordering Source #

(<) :: (f :*: g) p -> (f :*: g) p -> Bool Source #

(<=) :: (f :*: g) p -> (f :*: g) p -> Bool Source #

(>) :: (f :*: g) p -> (f :*: g) p -> Bool Source #

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

max :: (f :*: g) p -> (f :*: g) p -> (f :*: g) p Source #

min :: (f :*: g) p -> (f :*: g) p -> (f :*: g) p Source #

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

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Methods

compare :: (f :+: g) p -> (f :+: g) p -> Ordering Source #

(<) :: (f :+: g) p -> (f :+: g) p -> Bool Source #

(<=) :: (f :+: g) p -> (f :+: g) p -> Bool Source #

(>) :: (f :+: g) p -> (f :+: g) p -> Bool Source #

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

max :: (f :+: g) p -> (f :+: g) p -> (f :+: g) p Source #

min :: (f :+: g) p -> (f :+: g) p -> (f :+: g) p Source #

Ord c => Ord (K1 i c p)

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Methods

compare :: K1 i c p -> K1 i c p -> Ordering Source #

(<) :: K1 i c p -> K1 i c p -> Bool Source #

(<=) :: K1 i c p -> K1 i c p -> Bool Source #

(>) :: K1 i c p -> K1 i c p -> Bool Source #

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

max :: K1 i c p -> K1 i c p -> K1 i c p Source #

min :: K1 i c p -> K1 i c p -> K1 i c p Source #

(Ord a, Ord b, Ord c, Ord d) => Ord (a, b, c, d) 
Instance details

Defined in GHC.Classes

Methods

compare :: (a, b, c, d) -> (a, b, c, d) -> Ordering Source #

(<) :: (a, b, c, d) -> (a, b, c, d) -> Bool Source #

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

(>) :: (a, b, c, d) -> (a, b, c, d) -> Bool Source #

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

max :: (a, b, c, d) -> (a, b, c, d) -> (a, b, c, d) Source #

min :: (a, b, c, d) -> (a, b, c, d) -> (a, b, c, d) Source #

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

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Methods

compare :: (f :.: g) p -> (f :.: g) p -> Ordering Source #

(<) :: (f :.: g) p -> (f :.: g) p -> Bool Source #

(<=) :: (f :.: g) p -> (f :.: g) p -> Bool Source #

(>) :: (f :.: g) p -> (f :.: g) p -> Bool Source #

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

max :: (f :.: g) p -> (f :.: g) p -> (f :.: g) p Source #

min :: (f :.: g) p -> (f :.: g) p -> (f :.: g) p Source #

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

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Methods

compare :: M1 i c f p -> M1 i c f p -> Ordering Source #

(<) :: M1 i c f p -> M1 i c f p -> Bool Source #

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

(>) :: M1 i c f p -> M1 i c f p -> Bool Source #

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

max :: M1 i c f p -> M1 i c f p -> M1 i c f p Source #

min :: M1 i c f p -> M1 i c f p -> M1 i c f p Source #

(Ord a, Ord b, Ord c, Ord d, Ord e) => Ord (a, b, c, d, e) 
Instance details

Defined in GHC.Classes

Methods

compare :: (a, b, c, d, e) -> (a, b, c, d, e) -> Ordering Source #

(<) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool Source #

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

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

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

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

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

(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f) => Ord (a, b, c, d, e, f) 
Instance details

Defined in GHC.Classes

Methods

compare :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Ordering Source #

(<) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool Source #

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

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

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

max :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> (a, b, c, d, e, f) Source #

min :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> (a, b, c, d, e, f) Source #

(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g) => Ord (a, b, c, d, e, f, g) 
Instance details

Defined in GHC.Classes

Methods

compare :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Ordering Source #

(<) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool Source #

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

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

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

max :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) Source #

min :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) Source #

(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) 
Instance details

Defined in GHC.Classes

Methods

compare :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Ordering Source #

(<) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool Source #

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

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

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

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) Source #

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) Source #

(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) 
Instance details

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 Source #

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

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

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

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

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) Source #

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) Source #

(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) 
Instance details

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 Source #

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

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

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

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

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) Source #

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) Source #

(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) 
Instance details

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 Source #

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

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

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

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

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) Source #

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) Source #

(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) 
Instance details

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 Source #

(<) :: (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 Source #

(<=) :: (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 Source #

(>) :: (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 Source #

(>=) :: (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 Source #

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) Source #

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) Source #

(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) 
Instance details

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 Source #

(<) :: (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 Source #

(<=) :: (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 Source #

(>) :: (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 Source #

(>=) :: (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 Source #

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) Source #

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) Source #

(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) 
Instance details

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 Source #

(<) :: (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 Source #

(<=) :: (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 Source #

(>) :: (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 Source #

(>=) :: (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 Source #

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) Source #

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) Source #

(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) 
Instance details

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 Source #

(<) :: (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 Source #

(<=) :: (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 Source #

(>) :: (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 Source #

(>=) :: (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 Source #

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) Source #

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) Source #

class Eq a where Source #

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, instances are encouraged to follow these properties:

Reflexivity
x == x = True
Symmetry
x == y = y == x
Transitivity
if x == y && y == z = True, then x == z = True
Extensionality
if x == y = True and f is a 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 Source #

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

Instances

Instances details
Eq SomeTypeRep 
Instance details

Defined in Data.Typeable.Internal

Eq Version

Since: base-2.1

Instance details

Defined in Data.Version

Eq CBool 
Instance details

Defined in Foreign.C.Types

Methods

(==) :: CBool -> CBool -> Bool Source #

(/=) :: CBool -> CBool -> Bool Source #

Eq CChar 
Instance details

Defined in Foreign.C.Types

Methods

(==) :: CChar -> CChar -> Bool Source #

(/=) :: CChar -> CChar -> Bool Source #

Eq CClock 
Instance details

Defined in Foreign.C.Types

Eq CDouble 
Instance details

Defined in Foreign.C.Types

Eq CFloat 
Instance details

Defined in Foreign.C.Types

Eq CInt 
Instance details

Defined in Foreign.C.Types

Methods

(==) :: CInt -> CInt -> Bool Source #

(/=) :: CInt -> CInt -> Bool Source #

Eq CIntMax 
Instance details

Defined in Foreign.C.Types

Eq CIntPtr 
Instance details

Defined in Foreign.C.Types

Eq CLLong 
Instance details

Defined in Foreign.C.Types

Eq CLong 
Instance details

Defined in Foreign.C.Types

Methods

(==) :: CLong -> CLong -> Bool Source #

(/=) :: CLong -> CLong -> Bool Source #

Eq CPtrdiff 
Instance details

Defined in Foreign.C.Types

Eq CSChar 
Instance details

Defined in Foreign.C.Types

Eq CSUSeconds 
Instance details

Defined in Foreign.C.Types

Eq CShort 
Instance details

Defined in Foreign.C.Types

Eq CSigAtomic 
Instance details

Defined in Foreign.C.Types

Eq CSize 
Instance details

Defined in Foreign.C.Types

Methods

(==) :: CSize -> CSize -> Bool Source #

(/=) :: CSize -> CSize -> Bool Source #

Eq CTime 
Instance details

Defined in Foreign.C.Types

Methods

(==) :: CTime -> CTime -> Bool Source #

(/=) :: CTime -> CTime -> Bool Source #

Eq CUChar 
Instance details

Defined in Foreign.C.Types

Eq CUInt 
Instance details

Defined in Foreign.C.Types

Methods

(==) :: CUInt -> CUInt -> Bool Source #

(/=) :: CUInt -> CUInt -> Bool Source #

Eq CUIntMax 
Instance details

Defined in Foreign.C.Types

Eq CUIntPtr 
Instance details

Defined in Foreign.C.Types

Eq CULLong 
Instance details

Defined in Foreign.C.Types

Eq CULong 
Instance details

Defined in Foreign.C.Types

Eq CUSeconds 
Instance details

Defined in Foreign.C.Types

Eq CUShort 
Instance details

Defined in Foreign.C.Types

Eq CWchar 
Instance details

Defined in Foreign.C.Types

Eq Void

Since: base-4.8.0.0

Instance details

Defined in GHC.Base

Methods

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

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

Eq ArithException

Since: base-3.0

Instance details

Defined in GHC.Exception.Type

Eq SpecConstrAnnotation

Since: base-4.3.0.0

Instance details

Defined in GHC.Exts

Eq Associativity

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Eq DecidedStrictness

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Eq Fixity

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Eq SourceStrictness

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Eq SourceUnpackedness

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Eq MaskingState

Since: base-4.3.0.0

Instance details

Defined in GHC.IO

Eq ArrayException

Since: base-4.2.0.0

Instance details

Defined in GHC.IO.Exception

Eq AsyncException

Since: base-4.2.0.0

Instance details

Defined in GHC.IO.Exception

Eq ExitCode 
Instance details

Defined in GHC.IO.Exception

Eq IOErrorType

Since: base-4.1.0.0

Instance details

Defined in GHC.IO.Exception

Eq IOException

Since: base-4.1.0.0

Instance details

Defined in GHC.IO.Exception

Eq BufferMode

Since: base-4.2.0.0

Instance details

Defined in GHC.IO.Handle.Types

Eq Handle

Since: base-4.1.0.0

Instance details

Defined in GHC.IO.Handle.Types

Eq Newline

Since: base-4.2.0.0

Instance details

Defined in GHC.IO.Handle.Types

Eq NewlineMode

Since: base-4.2.0.0

Instance details

Defined in GHC.IO.Handle.Types

Eq Int16

Since: base-2.1

Instance details

Defined in GHC.Int

Methods

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

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

Eq Int32

Since: base-2.1

Instance details

Defined in GHC.Int

Methods

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

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

Eq Int64

Since: base-2.1

Instance details

Defined in GHC.Int

Methods

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

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

Eq Int8

Since: base-2.1

Instance details

Defined in GHC.Int

Methods

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

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

Eq SrcLoc

Since: base-4.9.0.0

Instance details

Defined in GHC.Stack.Types

Eq Word16

Since: base-2.1

Instance details

Defined in GHC.Word

Eq Word32

Since: base-2.1

Instance details

Defined in GHC.Word

Eq Word64

Since: base-2.1

Instance details

Defined in GHC.Word

Eq Word8

Since: base-2.1

Instance details

Defined in GHC.Word

Methods

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

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

Eq ByteString 
Instance details

Defined in Data.ByteString.Internal.Type

Eq ByteString 
Instance details

Defined in Data.ByteString.Lazy.Internal

Eq ShortByteString 
Instance details

Defined in Data.ByteString.Short.Internal

Eq IntSet 
Instance details

Defined in Data.IntSet.Internal

Eq OsChar

Byte equality of the internal representation.

Instance details

Defined in System.OsString.Internal.Types.Hidden

Eq OsString

Byte equality of the internal representation.

Instance details

Defined in System.OsString.Internal.Types.Hidden

Eq PosixChar 
Instance details

Defined in System.OsString.Internal.Types.Hidden

Eq PosixString 
Instance details

Defined in System.OsString.Internal.Types.Hidden

Eq WindowsChar 
Instance details

Defined in System.OsString.Internal.Types.Hidden

Eq WindowsString 
Instance details

Defined in System.OsString.Internal.Types.Hidden

Eq ForeignSrcLang 
Instance details

Defined in GHC.ForeignSrcLang.Type

Eq Extension 
Instance details

Defined in GHC.LanguageExtensions.Type

Eq Module 
Instance details

Defined in GHC.Classes

Eq Ordering 
Instance details

Defined in GHC.Classes

Eq TrName 
Instance details

Defined in GHC.Classes

Eq TyCon 
Instance details

Defined in GHC.Classes

Methods

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

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

Eq OsChar 
Instance details

Defined in System.OsString.Internal.Types

Methods

(==) :: OsChar -> OsChar -> Bool Source #

(/=) :: OsChar -> OsChar -> Bool Source #

Eq OsString 
Instance details

Defined in System.OsString.Internal.Types

Methods

(==) :: OsString -> OsString -> Bool Source #

(/=) :: OsString -> OsString -> Bool Source #

Eq PosixChar 
Instance details

Defined in System.OsString.Internal.Types

Methods

(==) :: PosixChar -> PosixChar -> Bool Source #

(/=) :: PosixChar -> PosixChar -> Bool Source #

Eq PosixString 
Instance details

Defined in System.OsString.Internal.Types

Methods

(==) :: PosixString -> PosixString -> Bool Source #

(/=) :: PosixString -> PosixString -> Bool Source #

Eq WindowsChar 
Instance details

Defined in System.OsString.Internal.Types

Methods

(==) :: WindowsChar -> WindowsChar -> Bool Source #

(/=) :: WindowsChar -> WindowsChar -> Bool Source #

Eq WindowsString 
Instance details

Defined in System.OsString.Internal.Types

Methods

(==) :: WindowsString -> WindowsString -> Bool Source #

(/=) :: WindowsString -> WindowsString -> Bool Source #

Eq Mode 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

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

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

Eq Style 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

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

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

Eq TextDetails 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Eq Doc 
Instance details

Defined in Text.PrettyPrint.HughesPJ

Methods

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

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

Eq AnnLookup 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq AnnTarget 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Bang 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

(==) :: Bang -> Bang -> Bool Source #

(/=) :: Bang -> Bang -> Bool Source #

Eq Body 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

(==) :: Body -> Body -> Bool Source #

(/=) :: Body -> Body -> Bool Source #

Eq Bytes 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

(==) :: Bytes -> Bytes -> Bool Source #

(/=) :: Bytes -> Bytes -> Bool Source #

Eq Callconv 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Clause 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Con 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

(==) :: Con -> Con -> Bool Source #

(/=) :: Con -> Con -> Bool Source #

Eq Dec 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

(==) :: Dec -> Dec -> Bool Source #

(/=) :: Dec -> Dec -> Bool Source #

Eq DecidedStrictness 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq DerivClause 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq DerivStrategy 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq DocLoc 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Exp 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

(==) :: Exp -> Exp -> Bool Source #

(/=) :: Exp -> Exp -> Bool Source #

Eq FamilyResultSig 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Fixity 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq FixityDirection 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Foreign 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq FunDep 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Guard 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

(==) :: Guard -> Guard -> Bool Source #

(/=) :: Guard -> Guard -> Bool Source #

Eq Info 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

(==) :: Info -> Info -> Bool Source #

(/=) :: Info -> Info -> Bool Source #

Eq InjectivityAnn 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Inline 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Lit 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

(==) :: Lit -> Lit -> Bool Source #

(/=) :: Lit -> Lit -> Bool Source #

Eq Loc 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

(==) :: Loc -> Loc -> Bool Source #

(/=) :: Loc -> Loc -> Bool Source #

Eq Match 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

(==) :: Match -> Match -> Bool Source #

(/=) :: Match -> Match -> Bool Source #

Eq ModName 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Module 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq ModuleInfo 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Name 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

(==) :: Name -> Name -> Bool Source #

(/=) :: Name -> Name -> Bool Source #

Eq NameFlavour 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq NameSpace 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq OccName 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Overlap 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Pat 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

(==) :: Pat -> Pat -> Bool Source #

(/=) :: Pat -> Pat -> Bool Source #

Eq PatSynArgs 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq PatSynDir 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Phases 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq PkgName 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Pragma 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Range 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

(==) :: Range -> Range -> Bool Source #

(/=) :: Range -> Range -> Bool Source #

Eq Role 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

(==) :: Role -> Role -> Bool Source #

(/=) :: Role -> Role -> Bool Source #

Eq RuleBndr 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq RuleMatch 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Safety 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq SourceStrictness 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq SourceUnpackedness 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Specificity 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Stmt 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

(==) :: Stmt -> Stmt -> Bool Source #

(/=) :: Stmt -> Stmt -> Bool Source #

Eq TyLit 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

(==) :: TyLit -> TyLit -> Bool Source #

(/=) :: TyLit -> TyLit -> Bool Source #

Eq TySynEqn 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Type 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

(==) :: Type -> Type -> Bool Source #

(/=) :: Type -> Type -> Bool Source #

Eq TypeFamilyHead 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq UnicodeException 
Instance details

Defined in Data.Text.Encoding.Error

Eq Integer 
Instance details

Defined in GHC.Num.Integer

Eq () 
Instance details

Defined in GHC.Classes

Methods

(==) :: () -> () -> Bool Source #

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

Eq Bool 
Instance details

Defined in GHC.Classes

Methods

(==) :: Bool -> Bool -> Bool Source #

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

Eq Char 
Instance details

Defined in GHC.Classes

Methods

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

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

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
Instance details

Defined in GHC.Classes

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 extensionality:

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

Defined in GHC.Classes

Methods

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

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

Eq Int 
Instance details

Defined in GHC.Classes

Methods

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

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

Eq Word 
Instance details

Defined in GHC.Classes

Methods

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

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

Eq a => Eq (ZipList a)

Since: base-4.7.0.0

Instance details

Defined in Control.Applicative

Methods

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

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

Eq a => Eq (First a)

Since: base-2.1

Instance details

Defined in Data.Monoid

Methods

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

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

Eq a => Eq (Last a)

Since: base-2.1

Instance details

Defined in Data.Monoid

Methods

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

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

Eq a => Eq (Down a)

Since: base-4.6.0.0

Instance details

Defined in Data.Ord

Methods

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

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

Eq a => Eq (NonEmpty a)

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

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

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

Eq p => Eq (Par1 p)

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

Eq a => Eq (Ratio a)

Since: base-2.1

Instance details

Defined in GHC.Real

Methods

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

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

Eq a => Eq (IntMap a) 
Instance details

Defined in Data.IntMap.Internal

Methods

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

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

Eq a => Eq (Seq a) 
Instance details

Defined in Data.Sequence.Internal

Methods

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

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

Eq a => Eq (ViewL a) 
Instance details

Defined in Data.Sequence.Internal

Methods

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

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

Eq a => Eq (ViewR a) 
Instance details

Defined in Data.Sequence.Internal

Methods

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

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

Eq a => Eq (Intersection a) 
Instance details

Defined in Data.Set.Internal

Eq a => Eq (Set a) 
Instance details

Defined in Data.Set.Internal

Methods

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

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

Eq a => Eq (Tree a) 
Instance details

Defined in Data.Tree

Methods

(==) :: Tree a -> Tree a -> Bool Source #

(/=) :: Tree a -> Tree a -> Bool Source #

Eq a => Eq (Hashed a)

Uses precomputed hash to detect inequality faster

Instance details

Defined in Data.Hashable.Class

Methods

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

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

Eq a => Eq (AnnotDetails a) 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Eq (Doc a) 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

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

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

Eq a => Eq (Span a) 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

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

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

Eq a => Eq (Array a) 
Instance details

Defined in Data.Primitive.Array

Methods

(==) :: Array a -> Array a -> Bool Source #

(/=) :: Array a -> Array a -> Bool Source #

(Eq a, Prim a) => Eq (PrimArray a) 
Instance details

Defined in Data.Primitive.PrimArray

Methods

(==) :: PrimArray a -> PrimArray a -> Bool Source #

(/=) :: PrimArray a -> PrimArray a -> Bool Source #

Eq a => Eq (SmallArray a) 
Instance details

Defined in Data.Primitive.SmallArray

Methods

(==) :: SmallArray a -> SmallArray a -> Bool Source #

(/=) :: SmallArray a -> SmallArray a -> Bool Source #

Eq flag => Eq (TyVarBndr flag) 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

(==) :: TyVarBndr flag -> TyVarBndr flag -> Bool Source #

(/=) :: TyVarBndr flag -> TyVarBndr flag -> Bool Source #

Eq a => Eq (HashSet a)

Note that, in the presence of hash collisions, equal HashSets may behave differently, i.e. extensionality 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 extensionality can be observed with any function that depends on the key ordering, such as folds and traversals.

Instance details

Defined in Data.HashSet.Internal

Methods

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

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

Eq a => Eq (Vector a) 
Instance details

Defined in Data.Vector

Methods

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

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

(Prim a, Eq a) => Eq (Vector a) 
Instance details

Defined in Data.Vector.Primitive

Methods

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

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

(Storable a, Eq a) => Eq (Vector a) 
Instance details

Defined in Data.Vector.Storable

Methods

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

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

Eq a => Eq (Maybe a)

Since: base-2.1

Instance details

Defined in GHC.Maybe

Methods

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

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

Eq a => Eq (a) 
Instance details

Defined in GHC.Classes

Methods

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

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

Eq a => Eq [a] 
Instance details

Defined in GHC.Classes

Methods

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

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

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

Since: base-2.1

Instance details

Defined in Data.Either

Methods

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

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

Eq (TypeRep a)

Since: base-2.1

Instance details

Defined in Data.Typeable.Internal

Methods

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

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

Eq (U1 p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

Eq (V1 p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

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

Defined in Data.Map.Internal

Methods

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

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

Eq (MutableArray s a) 
Instance details

Defined in Data.Primitive.Array

Methods

(==) :: MutableArray s a -> MutableArray s a -> Bool Source #

(/=) :: MutableArray s a -> MutableArray s a -> Bool Source #

Eq (MutablePrimArray s a) 
Instance details

Defined in Data.Primitive.PrimArray

Methods

(==) :: MutablePrimArray s a -> MutablePrimArray s a -> Bool Source #

(/=) :: MutablePrimArray s a -> MutablePrimArray s a -> Bool Source #

Eq (SmallMutableArray s a) 
Instance details

Defined in Data.Primitive.SmallArray

Methods

(==) :: SmallMutableArray s a -> SmallMutableArray s a -> Bool Source #

(/=) :: SmallMutableArray s a -> SmallMutableArray s a -> Bool Source #

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

Defined in Control.Monad.Trans.Maybe

Methods

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

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

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

Note that, in the presence of hash collisions, equal HashMaps may behave differently, i.e. extensionality 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 extensionality can be observed with any function that depends on the key ordering, such as folds and traversals.

Instance details

Defined in Data.HashMap.Internal

Methods

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

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

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

Defined in Data.HashMap.Internal

Methods

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

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

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

Defined in GHC.Classes

Methods

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

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

Eq a => Eq (Const a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Methods

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

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

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

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

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

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

(Generic1 f, Eq (Rep1 f a)) => Eq (Generically1 f a)

Since: base-4.18.0.0

Instance details

Defined in GHC.Generics

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

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

Eq (URec (Ptr ()) p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

Eq (URec Char p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

Eq (URec Double p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

Eq (URec Float p) 
Instance details

Defined in GHC.Generics

Methods

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

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

Eq (URec Int p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

Eq (URec Word p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

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

Defined in Control.Monad.Trans.Except

Methods

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

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

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

Defined in Control.Monad.Trans.Identity

Methods

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

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

(Eq w, Eq1 m, Eq a) => Eq (WriterT w m a) 
Instance details

Defined in Control.Monad.Trans.Writer.Lazy

Methods

(==) :: WriterT w m a -> WriterT w m a -> Bool Source #

(/=) :: WriterT w m a -> WriterT w m a -> Bool Source #

(Eq w, Eq1 m, Eq a) => Eq (WriterT w m a) 
Instance details

Defined in Control.Monad.Trans.Writer.Strict

Methods

(==) :: WriterT w m a -> WriterT w m a -> Bool Source #

(/=) :: WriterT w m a -> WriterT w m a -> Bool Source #

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

Defined in GHC.Classes

Methods

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

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

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

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

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

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

Eq c => Eq (K1 i c p)

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

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

Defined in GHC.Classes

Methods

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

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

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

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

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

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

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

Defined in GHC.Classes

Methods

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

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

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

Defined in GHC.Classes

Methods

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

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

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

Defined in GHC.Classes

Methods

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

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

(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) 
Instance details

Defined in GHC.Classes

Methods

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

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

(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) 
Instance details

Defined in GHC.Classes

Methods

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

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

(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) 
Instance details

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 Source #

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

(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) 
Instance details

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 Source #

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

(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) 
Instance details

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 Source #

(/=) :: (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 Source #

(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) 
Instance details

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 Source #

(/=) :: (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 Source #

(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) 
Instance details

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 Source #

(/=) :: (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 Source #

(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) 
Instance details

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 Source #

(/=) :: (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 Source #

class Bounded a where Source #

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 Source #

maxBound :: a Source #

Instances

Instances details
Bounded CBool 
Instance details

Defined in Foreign.C.Types

Bounded CChar 
Instance details

Defined in Foreign.C.Types

Bounded CInt 
Instance details

Defined in Foreign.C.Types

Bounded CIntMax 
Instance details

Defined in Foreign.C.Types

Bounded CIntPtr 
Instance details

Defined in Foreign.C.Types

Bounded CLLong 
Instance details

Defined in Foreign.C.Types

Bounded CLong 
Instance details

Defined in Foreign.C.Types

Bounded CPtrdiff 
Instance details

Defined in Foreign.C.Types

Bounded CSChar 
Instance details

Defined in Foreign.C.Types

Bounded CShort 
Instance details

Defined in Foreign.C.Types

Bounded CSigAtomic 
Instance details

Defined in Foreign.C.Types

Bounded CSize 
Instance details

Defined in Foreign.C.Types

Bounded CUChar 
Instance details

Defined in Foreign.C.Types

Bounded CUInt 
Instance details

Defined in Foreign.C.Types

Bounded CUIntMax 
Instance details

Defined in Foreign.C.Types

Bounded CUIntPtr 
Instance details

Defined in Foreign.C.Types

Bounded CULLong 
Instance details

Defined in Foreign.C.Types

Bounded CULong 
Instance details

Defined in Foreign.C.Types

Bounded CUShort 
Instance details

Defined in Foreign.C.Types

Bounded CWchar 
Instance details

Defined in Foreign.C.Types

Bounded Associativity

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Bounded DecidedStrictness

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Bounded SourceStrictness

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Bounded SourceUnpackedness

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Bounded Int16

Since: base-2.1

Instance details

Defined in GHC.Int

Bounded Int32

Since: base-2.1

Instance details

Defined in GHC.Int

Bounded Int64

Since: base-2.1

Instance details

Defined in GHC.Int

Bounded Int8

Since: base-2.1

Instance details

Defined in GHC.Int

Bounded Word16

Since: base-2.1

Instance details

Defined in GHC.Word

Bounded Word32

Since: base-2.1

Instance details

Defined in GHC.Word

Bounded Word64

Since: base-2.1

Instance details

Defined in GHC.Word

Bounded Word8

Since: base-2.1

Instance details

Defined in GHC.Word

Bounded Extension 
Instance details

Defined in GHC.LanguageExtensions.Type

Bounded Ordering

Since: base-2.1

Instance details

Defined in GHC.Enum

Bounded ()

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

minBound :: () Source #

maxBound :: () Source #

Bounded Bool

Since: base-2.1

Instance details

Defined in GHC.Enum

Bounded Char

Since: base-2.1

Instance details

Defined in GHC.Enum

Bounded Int

Since: base-2.1

Instance details

Defined in GHC.Enum

Bounded Levity

Since: base-4.16.0.0

Instance details

Defined in GHC.Enum

Bounded VecCount

Since: base-4.10.0.0

Instance details

Defined in GHC.Enum

Bounded VecElem

Since: base-4.10.0.0

Instance details

Defined in GHC.Enum

Bounded Word

Since: base-2.1

Instance details

Defined in GHC.Enum

Bounded a => Bounded (Down a)

Swaps minBound and maxBound of the underlying type.

Since: base-4.14.0.0

Instance details

Defined in Data.Ord

Bounded a => Bounded (a) 
Instance details

Defined in GHC.Enum

Methods

minBound :: (a) Source #

maxBound :: (a) Source #

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

minBound :: (a, b) Source #

maxBound :: (a, b) Source #

Bounded a => Bounded (Const a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Methods

minBound :: Const a b Source #

maxBound :: Const a b Source #

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

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

minBound :: Ap f a Source #

maxBound :: Ap f a Source #

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

minBound :: (a, b, c) Source #

maxBound :: (a, b, c) Source #

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

(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

Instance details

Defined in GHC.Enum

Methods

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

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

(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

Instance details

Defined in GHC.Enum

Methods

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

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

(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

Instance details

Defined in GHC.Enum

Methods

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

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

(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

Instance details

Defined in GHC.Enum

Methods

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

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

(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

Instance details

Defined in GHC.Enum

Methods

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

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

(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

Instance details

Defined in GHC.Enum

Methods

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

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

(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

Instance details

Defined in GHC.Enum

Methods

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

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

(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

Instance details

Defined in GHC.Enum

Methods

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

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

(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

Instance details

Defined in GHC.Enum

Methods

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

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

class Enum a where Source #

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:

   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 Source #

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

pred :: a -> a Source #

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

toEnum :: Int -> a Source #

Convert from an Int.

fromEnum :: a -> Int Source #

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] Source #

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] Source #

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] Source #

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] Source #

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

Instances details
Enum CBool 
Instance details

Defined in Foreign.C.Types

Enum CChar 
Instance details

Defined in Foreign.C.Types

Enum CClock 
Instance details

Defined in Foreign.C.Types

Enum CDouble 
Instance details

Defined in Foreign.C.Types

Enum CFloat 
Instance details

Defined in Foreign.C.Types

Enum CInt 
Instance details

Defined in Foreign.C.Types

Enum CIntMax 
Instance details

Defined in Foreign.C.Types

Enum CIntPtr 
Instance details

Defined in Foreign.C.Types

Enum CLLong 
Instance details

Defined in Foreign.C.Types

Enum CLong 
Instance details

Defined in Foreign.C.Types

Enum CPtrdiff 
Instance details

Defined in Foreign.C.Types

Enum CSChar 
Instance details

Defined in Foreign.C.Types

Enum CSUSeconds 
Instance details

Defined in Foreign.C.Types

Enum CShort 
Instance details

Defined in Foreign.C.Types

Enum CSigAtomic 
Instance details

Defined in Foreign.C.Types

Enum CSize 
Instance details

Defined in Foreign.C.Types

Enum CTime 
Instance details

Defined in Foreign.C.Types

Enum CUChar 
Instance details

Defined in Foreign.C.Types

Enum CUInt 
Instance details

Defined in Foreign.C.Types

Enum CUIntMax 
Instance details

Defined in Foreign.C.Types

Enum CUIntPtr 
Instance details

Defined in Foreign.C.Types

Enum CULLong 
Instance details

Defined in Foreign.C.Types

Enum CULong 
Instance details

Defined in Foreign.C.Types

Enum CUSeconds 
Instance details

Defined in Foreign.C.Types

Enum CUShort 
Instance details

Defined in Foreign.C.Types

Enum CWchar 
Instance details

Defined in Foreign.C.Types

Enum Associativity

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Enum DecidedStrictness

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Enum SourceStrictness

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Enum SourceUnpackedness

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Enum Int16

Since: base-2.1

Instance details

Defined in GHC.Int

Enum Int32

Since: base-2.1

Instance details

Defined in GHC.Int

Enum Int64

Since: base-2.1

Instance details

Defined in GHC.Int

Enum Int8

Since: base-2.1

Instance details

Defined in GHC.Int

Enum Word16

Since: base-2.1

Instance details

Defined in GHC.Word

Enum Word32

Since: base-2.1

Instance details

Defined in GHC.Word

Enum Word64

Since: base-2.1

Instance details

Defined in GHC.Word

Enum Word8

Since: base-2.1

Instance details

Defined in GHC.Word

Enum Extension 
Instance details

Defined in GHC.LanguageExtensions.Type

Enum Ordering

Since: base-2.1

Instance details

Defined in GHC.Enum

Enum Integer

Since: base-2.1

Instance details

Defined in GHC.Enum

Enum Natural

Since: base-4.8.0.0

Instance details

Defined in GHC.Enum

Enum ()

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

succ :: () -> () Source #

pred :: () -> () Source #

toEnum :: Int -> () Source #

fromEnum :: () -> Int Source #

enumFrom :: () -> [()] Source #

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

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

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

Enum Bool

Since: base-2.1

Instance details

Defined in GHC.Enum

Enum Char

Since: base-2.1

Instance details

Defined in GHC.Enum

Enum Int

Since: base-2.1

Instance details

Defined in GHC.Enum

Enum Levity

Since: base-4.16.0.0

Instance details

Defined in GHC.Enum

Enum VecCount

Since: base-4.10.0.0

Instance details

Defined in GHC.Enum

Enum VecElem

Since: base-4.10.0.0

Instance details

Defined in GHC.Enum

Enum Word

Since: base-2.1

Instance details

Defined in GHC.Enum

(Enum a, Bounded a, Eq a) => Enum (Down a)

Swaps succ and pred of the underlying type.

Since: base-4.18.0.0

Instance details

Defined in Data.Ord

Methods

succ :: Down a -> Down a Source #

pred :: Down a -> Down a Source #

toEnum :: Int -> Down a Source #

fromEnum :: Down a -> Int Source #

enumFrom :: Down a -> [Down a] Source #

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

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

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

Integral a => Enum (Ratio a)

Since: base-2.0.1

Instance details

Defined in GHC.Real

Methods

succ :: Ratio a -> Ratio a Source #

pred :: Ratio a -> Ratio a Source #

toEnum :: Int -> Ratio a Source #

fromEnum :: Ratio a -> Int Source #

enumFrom :: Ratio a -> [Ratio a] Source #

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

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

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

Enum a => Enum (a) 
Instance details

Defined in GHC.Enum

Methods

succ :: (a) -> (a) Source #

pred :: (a) -> (a) Source #

toEnum :: Int -> (a) Source #

fromEnum :: (a) -> Int Source #

enumFrom :: (a) -> [(a)] Source #

enumFromThen :: (a) -> (a) -> [(a)] Source #

enumFromTo :: (a) -> (a) -> [(a)] Source #

enumFromThenTo :: (a) -> (a) -> (a) -> [(a)] Source #

Enum a => Enum (Const a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Methods

succ :: Const a b -> Const a b Source #

pred :: Const a b -> Const a b Source #

toEnum :: Int -> Const a b Source #

fromEnum :: Const a b -> Int Source #

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

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

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

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

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

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

succ :: Ap f a -> Ap f a Source #

pred :: Ap f a -> Ap f a Source #

toEnum :: Int -> Ap f a Source #

fromEnum :: Ap f a -> Int Source #

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

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

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

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

class Show a Source #

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

Instances details
Show SomeTypeRep

Since: base-4.10.0.0

Instance details

Defined in Data.Typeable.Internal

Show Version

Since: base-2.1

Instance details

Defined in Data.Version

Show CBool 
Instance details

Defined in Foreign.C.Types

Show CChar 
Instance details

Defined in Foreign.C.Types

Show CClock 
Instance details

Defined in Foreign.C.Types

Show CDouble 
Instance details

Defined in Foreign.C.Types

Show CFloat 
Instance details

Defined in Foreign.C.Types

Show CInt 
Instance details

Defined in Foreign.C.Types

Show CIntMax 
Instance details

Defined in Foreign.C.Types

Show CIntPtr 
Instance details

Defined in Foreign.C.Types

Show CLLong 
Instance details

Defined in Foreign.C.Types

Show CLong 
Instance details

Defined in Foreign.C.Types

Show CPtrdiff 
Instance details

Defined in Foreign.C.Types

Show CSChar 
Instance details

Defined in Foreign.C.Types

Show CSUSeconds 
Instance details

Defined in Foreign.C.Types

Show CShort 
Instance details

Defined in Foreign.C.Types

Show CSigAtomic 
Instance details

Defined in Foreign.C.Types

Show CSize 
Instance details

Defined in Foreign.C.Types

Show CTime 
Instance details

Defined in Foreign.C.Types

Show CUChar 
Instance details

Defined in Foreign.C.Types

Show CUInt 
Instance details

Defined in Foreign.C.Types

Show CUIntMax 
Instance details

Defined in Foreign.C.Types

Show CUIntPtr 
Instance details

Defined in Foreign.C.Types

Show CULLong 
Instance details

Defined in Foreign.C.Types

Show CULong 
Instance details

Defined in Foreign.C.Types

Show CUSeconds 
Instance details

Defined in Foreign.C.Types

Show CUShort 
Instance details

Defined in Foreign.C.Types

Show CWchar 
Instance details

Defined in Foreign.C.Types

Show Void

Since: base-4.8.0.0

Instance details

Defined in GHC.Show

Show ArithException

Since: base-4.0.0.0

Instance details

Defined in GHC.Exception.Type

Show SomeException

Since: base-3.0

Instance details

Defined in GHC.Exception.Type

Show Associativity

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Show DecidedStrictness

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Show Fixity

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Show SourceStrictness

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Show SourceUnpackedness

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Show MaskingState

Since: base-4.3.0.0

Instance details

Defined in GHC.IO

Show AllocationLimitExceeded

Since: base-4.7.1.0

Instance details

Defined in GHC.IO.Exception

Show ArrayException

Since: base-4.1.0.0

Instance details

Defined in GHC.IO.Exception

Show AssertionFailed

Since: base-4.1.0.0

Instance details

Defined in GHC.IO.Exception

Show AsyncException

Since: base-4.1.0.0

Instance details

Defined in GHC.IO.Exception

Show BlockedIndefinitelyOnMVar

Since: base-4.1.0.0

Instance details

Defined in GHC.IO.Exception

Show BlockedIndefinitelyOnSTM

Since: base-4.1.0.0

Instance details

Defined in GHC.IO.Exception

Show CompactionFailed

Since: base-4.10.0.0

Instance details

Defined in GHC.IO.Exception

Show Deadlock

Since: base-4.1.0.0

Instance details

Defined in GHC.IO.Exception

Show ExitCode 
Instance details

Defined in GHC.IO.Exception

Show FixIOException

Since: base-4.11.0.0

Instance details

Defined in GHC.IO.Exception

Show IOErrorType

Since: base-4.1.0.0

Instance details

Defined in GHC.IO.Exception

Show IOException

Since: base-4.1.0.0

Instance details

Defined in GHC.IO.Exception

Show SomeAsyncException

Since: base-4.7.0.0

Instance details

Defined in GHC.IO.Exception

Show BufferMode

Since: base-4.2.0.0

Instance details

Defined in GHC.IO.Handle.Types

Show Handle

Since: base-4.1.0.0

Instance details

Defined in GHC.IO.Handle.Types

Show HandleType

Since: base-4.1.0.0

Instance details

Defined in GHC.IO.Handle.Types

Show Newline

Since: base-4.3.0.0

Instance details

Defined in GHC.IO.Handle.Types

Show NewlineMode

Since: base-4.3.0.0

Instance details

Defined in GHC.IO.Handle.Types

Show Int16

Since: base-2.1

Instance details

Defined in GHC.Int

Show Int32

Since: base-2.1

Instance details

Defined in GHC.Int

Show Int64

Since: base-2.1

Instance details

Defined in GHC.Int

Show Int8

Since: base-2.1

Instance details

Defined in GHC.Int

Show FractionalExponentBase 
Instance details

Defined in GHC.Real

Show CallStack

Since: base-4.9.0.0

Instance details

Defined in GHC.Show

Show SrcLoc

Since: base-4.9.0.0

Instance details

Defined in GHC.Show

Show Word16

Since: base-2.1

Instance details

Defined in GHC.Word

Show Word32

Since: base-2.1

Instance details

Defined in GHC.Word

Show Word64

Since: base-2.1

Instance details

Defined in GHC.Word

Show Word8

Since: base-2.1

Instance details

Defined in GHC.Word

Show ByteString 
Instance details

Defined in Data.ByteString.Internal.Type

Show ByteString 
Instance details

Defined in Data.ByteString.Lazy.Internal

Show ShortByteString 
Instance details

Defined in Data.ByteString.Short.Internal

Show IntSet 
Instance details

Defined in Data.IntSet.Internal

Show OsChar 
Instance details

Defined in System.OsString.Internal.Types.Hidden

Show OsString

On windows, decodes as UCS-2. On unix prints the raw bytes without decoding.

Instance details

Defined in System.OsString.Internal.Types.Hidden

Show PosixChar 
Instance details

Defined in System.OsString.Internal.Types.Hidden

Show PosixString

Prints the raw bytes without decoding.

Instance details

Defined in System.OsString.Internal.Types.Hidden

Show WindowsChar 
Instance details

Defined in System.OsString.Internal.Types.Hidden

Show WindowsString

Decodes as UCS-2.

Instance details

Defined in System.OsString.Internal.Types.Hidden

Show ForeignSrcLang 
Instance details

Defined in GHC.ForeignSrcLang.Type

Show Extension 
Instance details

Defined in GHC.LanguageExtensions.Type

Show KindRep 
Instance details

Defined in GHC.Show

Show Module

Since: base-4.9.0.0

Instance details

Defined in GHC.Show

Show Ordering

Since: base-2.1

Instance details

Defined in GHC.Show

Show TrName

Since: base-4.9.0.0

Instance details

Defined in GHC.Show

Show TyCon

Since: base-2.1

Instance details

Defined in GHC.Show

Show TypeLitSort

Since: base-4.11.0.0

Instance details

Defined in GHC.Show

Show OsChar 
Instance details

Defined in System.OsString.Internal.Types

Methods

showsPrec :: Int -> OsChar -> ShowS Source #

show :: OsChar -> String Source #

showList :: [OsChar] -> ShowS Source #

Show OsString 
Instance details

Defined in System.OsString.Internal.Types

Methods

showsPrec :: Int -> OsString -> ShowS Source #

show :: OsString -> String Source #

showList :: [OsString] -> ShowS Source #

Show PosixChar 
Instance details

Defined in System.OsString.Internal.Types

Methods

showsPrec :: Int -> PosixChar -> ShowS Source #

show :: PosixChar -> String Source #

showList :: [PosixChar] -> ShowS Source #

Show PosixString 
Instance details

Defined in System.OsString.Internal.Types

Methods

showsPrec :: Int -> PosixString -> ShowS Source #

show :: PosixString -> String Source #

showList :: [PosixString] -> ShowS Source #

Show WindowsChar 
Instance details

Defined in System.OsString.Internal.Types

Methods

showsPrec :: Int -> WindowsChar -> ShowS Source #

show :: WindowsChar -> String Source #

showList :: [WindowsChar] -> ShowS Source #

Show WindowsString 
Instance details

Defined in System.OsString.Internal.Types

Methods

showsPrec :: Int -> WindowsString -> ShowS Source #

show :: WindowsString -> String Source #

showList :: [WindowsString] -> ShowS Source #

Show Mode 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Show Style 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Show TextDetails 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Show Doc 
Instance details

Defined in Text.PrettyPrint.HughesPJ

Show AnnLookup 
Instance details

Defined in Language.Haskell.TH.Syntax

Show AnnTarget 
Instance details

Defined in Language.Haskell.TH.Syntax

Show Bang 
Instance details

Defined in Language.Haskell.TH.Syntax

Show Body 
Instance details

Defined in Language.Haskell.TH.Syntax

Show Bytes 
Instance details

Defined in Language.Haskell.TH.Syntax

Show Callconv 
Instance details

Defined in Language.Haskell.TH.Syntax

Show Clause 
Instance details

Defined in Language.Haskell.TH.Syntax

Show Con 
Instance details

Defined in Language.Haskell.TH.Syntax

Show Dec 
Instance details

Defined in Language.Haskell.TH.Syntax

Show DecidedStrictness 
Instance details

Defined in Language.Haskell.TH.Syntax

Show DerivClause 
Instance details

Defined in Language.Haskell.TH.Syntax

Show DerivStrategy 
Instance details

Defined in Language.Haskell.TH.Syntax

Show DocLoc 
Instance details

Defined in Language.Haskell.TH.Syntax

Show Exp 
Instance details

Defined in Language.Haskell.TH.Syntax

Show FamilyResultSig 
Instance details

Defined in Language.Haskell.TH.Syntax

Show Fixity 
Instance details

Defined in Language.Haskell.TH.Syntax

Show FixityDirection 
Instance details

Defined in Language.Haskell.TH.Syntax

Show Foreign 
Instance details

Defined in Language.Haskell.TH.Syntax

Show FunDep 
Instance details

Defined in Language.Haskell.TH.Syntax

Show Guard 
Instance details

Defined in Language.Haskell.TH.Syntax

Show Info 
Instance details

Defined in Language.Haskell.TH.Syntax

Show InjectivityAnn 
Instance details

Defined in Language.Haskell.TH.Syntax

Show Inline 
Instance details

Defined in Language.Haskell.TH.Syntax

Show Lit 
Instance details

Defined in Language.Haskell.TH.Syntax

Show Loc 
Instance details

Defined in Language.Haskell.TH.Syntax

Show Match 
Instance details

Defined in Language.Haskell.TH.Syntax

Show ModName 
Instance details

Defined in Language.Haskell.TH.Syntax

Show Module 
Instance details

Defined in Language.Haskell.TH.Syntax

Show ModuleInfo 
Instance details

Defined in Language.Haskell.TH.Syntax

Show Name 
Instance details

Defined in Language.Haskell.TH.Syntax

Show NameFlavour 
Instance details

Defined in Language.Haskell.TH.Syntax

Show NameSpace 
Instance details

Defined in Language.Haskell.TH.Syntax

Show OccName 
Instance details

Defined in Language.Haskell.TH.Syntax

Show Overlap 
Instance details

Defined in Language.Haskell.TH.Syntax

Show Pat 
Instance details

Defined in Language.Haskell.TH.Syntax

Show PatSynArgs 
Instance details

Defined in Language.Haskell.TH.Syntax

Show PatSynDir 
Instance details

Defined in Language.Haskell.TH.Syntax

Show Phases 
Instance details

Defined in Language.Haskell.TH.Syntax

Show PkgName 
Instance details

Defined in Language.Haskell.TH.Syntax

Show Pragma 
Instance details

Defined in Language.Haskell.TH.Syntax

Show Range 
Instance details

Defined in Language.Haskell.TH.Syntax

Show Role 
Instance details

Defined in Language.Haskell.TH.Syntax

Show RuleBndr 
Instance details

Defined in Language.Haskell.TH.Syntax

Show RuleMatch 
Instance details

Defined in Language.Haskell.TH.Syntax

Show Safety 
Instance details

Defined in Language.Haskell.TH.Syntax

Show SourceStrictness 
Instance details

Defined in Language.Haskell.TH.Syntax

Show SourceUnpackedness 
Instance details

Defined in Language.Haskell.TH.Syntax

Show Specificity 
Instance details

Defined in Language.Haskell.TH.Syntax

Show Stmt 
Instance details

Defined in Language.Haskell.TH.Syntax

Show TyLit 
Instance details

Defined in Language.Haskell.TH.Syntax

Show TySynEqn 
Instance details

Defined in Language.Haskell.TH.Syntax

Show Type 
Instance details

Defined in Language.Haskell.TH.Syntax

Show TypeFamilyHead 
Instance details

Defined in Language.Haskell.TH.Syntax

Show Decoding 
Instance details

Defined in Data.Text.Encoding

Show UnicodeException 
Instance details

Defined in Data.Text.Encoding.Error

Show Integer

Since: base-2.1

Instance details

Defined in GHC.Show

Show Natural

Since: base-4.8.0.0

Instance details

Defined in GHC.Show

Show ()

Since: base-2.1

Instance details

Defined in GHC.Show

Methods

showsPrec :: Int -> () -> ShowS Source #

show :: () -> String Source #

showList :: [()] -> ShowS Source #

Show Bool

Since: base-2.1

Instance details

Defined in GHC.Show

Show Char

Since: base-2.1

Instance details

Defined in GHC.Show

Show Int

Since: base-2.1

Instance details

Defined in GHC.Show

Show Levity

Since: base-4.15.0.0

Instance details

Defined in GHC.Show

Show RuntimeRep

Since: base-4.11.0.0

Instance details

Defined in GHC.Show

Show VecCount

Since: base-4.11.0.0

Instance details

Defined in GHC.Show

Show VecElem

Since: base-4.11.0.0

Instance details

Defined in GHC.Show

Show Word

Since: base-2.1

Instance details

Defined in GHC.Show

Show a => Show (ZipList a)

Since: base-4.7.0.0

Instance details

Defined in Control.Applicative

Show a => Show (First a)

Since: base-2.1

Instance details

Defined in Data.Monoid

Show a => Show (Last a)

Since: base-2.1

Instance details

Defined in Data.Monoid

Methods

showsPrec :: Int -> Last a -> ShowS Source #

show :: Last a -> String Source #

showList :: [Last a] -> ShowS Source #

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

Instance details

Defined in Data.Ord

Methods

showsPrec :: Int -> Down a -> ShowS Source #

show :: Down a -> String Source #

showList :: [Down a] -> ShowS Source #

Show a => Show (NonEmpty a)

Since: base-4.11.0.0

Instance details

Defined in GHC.Show

Show p => Show (Par1 p)

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Methods

showsPrec :: Int -> Par1 p -> ShowS Source #

show :: Par1 p -> String Source #

showList :: [Par1 p] -> ShowS Source #

Show a => Show (Ratio a)

Since: base-2.0.1

Instance details

Defined in GHC.Real

Show a => Show (IntMap a) 
Instance details

Defined in Data.IntMap.Internal

Show a => Show (Seq a) 
Instance details

Defined in Data.Sequence.Internal

Methods

showsPrec :: Int -> Seq a -> ShowS Source #

show :: Seq a -> String Source #

showList :: [Seq a] -> ShowS Source #

Show a => Show (ViewL a) 
Instance details

Defined in Data.Sequence.Internal

Show a => Show (ViewR a) 
Instance details

Defined in Data.Sequence.Internal

Show a => Show (Intersection a) 
Instance details

Defined in Data.Set.Internal

Show a => Show (Set a) 
Instance details

Defined in Data.Set.Internal

Methods

showsPrec :: Int -> Set a -> ShowS Source #

show :: Set a -> String Source #

showList :: [Set a] -> ShowS Source #

Show a => Show (Tree a) 
Instance details

Defined in Data.Tree

Methods

showsPrec :: Int -> Tree a -> ShowS Source #

show :: Tree a -> String Source #

showList :: [Tree a] -> ShowS Source #

Show a => Show (Hashed a) 
Instance details

Defined in Data.Hashable.Class

Show a => Show (AnnotDetails a) 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Show (Doc a) 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

showsPrec :: Int -> Doc a -> ShowS Source #

show :: Doc a -> String Source #

showList :: [Doc a] -> ShowS Source #

Show a => Show (Span a) 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

showsPrec :: Int -> Span a -> ShowS Source #

show :: Span a -> String Source #

showList :: [Span a] -> ShowS Source #

Show a => Show (Array a) 
Instance details

Defined in Data.Primitive.Array

Methods

showsPrec :: Int -> Array a -> ShowS Source #

show :: Array a -> String Source #

showList :: [Array a] -> ShowS Source #

(Show a, Prim a) => Show (PrimArray a) 
Instance details

Defined in Data.Primitive.PrimArray

Methods

showsPrec :: Int -> PrimArray a -> ShowS Source #

show :: PrimArray a -> String Source #

showList :: [PrimArray a] -> ShowS Source #

Show a => Show (SmallArray a) 
Instance details

Defined in Data.Primitive.SmallArray

Methods

showsPrec :: Int -> SmallArray a -> ShowS Source #

show :: SmallArray a -> String Source #

showList :: [SmallArray a] -> ShowS Source #

Show flag => Show (TyVarBndr flag) 
Instance details

Defined in Language.Haskell.TH.Syntax

Show a => Show (HashSet a) 
Instance details

Defined in Data.HashSet.Internal

Show a => Show (Vector a) 
Instance details

Defined in Data.Vector

(Show a, Prim a) => Show (Vector a) 
Instance details

Defined in Data.Vector.Primitive

(Show a, Storable a) => Show (Vector a) 
Instance details

Defined in Data.Vector.Storable

Show a => Show (Maybe a)

Since: base-2.1

Instance details

Defined in GHC.Show

Show a => Show (a)

Since: base-4.15

Instance details

Defined in GHC.Show

Methods

showsPrec :: Int -> (a) -> ShowS Source #

show :: (a) -> String Source #

showList :: [(a)] -> ShowS Source #

Show a => Show [a]

Since: base-2.1

Instance details

Defined in GHC.Show

Methods

showsPrec :: Int -> [a] -> ShowS Source #

show :: [a] -> String Source #

showList :: [[a]] -> ShowS Source #

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

Since: base-3.0

Instance details

Defined in Data.Either

Methods

showsPrec :: Int -> Either a b -> ShowS Source #

show :: Either a b -> String Source #

showList :: [Either a b] -> ShowS Source #

Show (TypeRep a) 
Instance details

Defined in Data.Typeable.Internal

Show (U1 p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

showsPrec :: Int -> U1 p -> ShowS Source #

show :: U1 p -> String Source #

showList :: [U1 p] -> ShowS Source #

Show (V1 p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

showsPrec :: Int -> V1 p -> ShowS Source #

show :: V1 p -> String Source #

showList :: [V1 p] -> ShowS Source #

(Show k, Show a) => Show (Map k a) 
Instance details

Defined in Data.Map.Internal

Methods

showsPrec :: Int -> Map k a -> ShowS Source #

show :: Map k a -> String Source #

showList :: [Map k a] -> ShowS Source #

(Show1 m, Show a) => Show (MaybeT m a) 
Instance details

Defined in Control.Monad.Trans.Maybe

Methods

showsPrec :: Int -> MaybeT m a -> ShowS Source #

show :: MaybeT m a -> String Source #

showList :: [MaybeT m a] -> ShowS Source #

(Show k, Show v) => Show (HashMap k v) 
Instance details

Defined in Data.HashMap.Internal

Methods

showsPrec :: Int -> HashMap k v -> ShowS Source #

show :: HashMap k v -> String Source #

showList :: [HashMap k v] -> ShowS Source #

(Show a, Show b) => Show (a, b)

Since: base-2.1

Instance details

Defined in GHC.Show

Methods

showsPrec :: Int -> (a, b) -> ShowS Source #

show :: (a, b) -> String Source #

showList :: [(a, b)] -> ShowS Source #

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

Instance details

Defined in Data.Functor.Const

Methods

showsPrec :: Int -> Const a b -> ShowS Source #

show :: Const a b -> String Source #

showList :: [Const a b] -> ShowS Source #

Show (f a) => Show (Ap f a)

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

showsPrec :: Int -> Ap f a -> ShowS Source #

show :: Ap f a -> String Source #

showList :: [Ap f a] -> ShowS Source #

Show (f p) => Show (Rec1 f p)

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Methods

showsPrec :: Int -> Rec1 f p -> ShowS Source #

show :: Rec1 f p -> String Source #

showList :: [Rec1 f p] -> ShowS Source #

Show (URec Char p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Show (URec Double p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Show (URec Float p) 
Instance details

Defined in GHC.Generics

Show (URec Int p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Show (URec Word p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

(Show e, Show1 m, Show a) => Show (ExceptT e m a) 
Instance details

Defined in Control.Monad.Trans.Except

Methods

showsPrec :: Int -> ExceptT e m a -> ShowS Source #

show :: ExceptT e m a -> String Source #

showList :: [ExceptT e m a] -> ShowS Source #

(Show1 f, Show a) => Show (IdentityT f a) 
Instance details

Defined in Control.Monad.Trans.Identity

(Show w, Show1 m, Show a) => Show (WriterT w m a) 
Instance details

Defined in Control.Monad.Trans.Writer.Lazy

Methods

showsPrec :: Int -> WriterT w m a -> ShowS Source #

show :: WriterT w m a -> String Source #

showList :: [WriterT w m a] -> ShowS Source #

(Show w, Show1 m, Show a) => Show (WriterT w m a) 
Instance details

Defined in Control.Monad.Trans.Writer.Strict

Methods

showsPrec :: Int -> WriterT w m a -> ShowS Source #

show :: WriterT w m a -> String Source #

showList :: [WriterT w m a] -> ShowS Source #

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

Since: base-2.1

Instance details

Defined in GHC.Show

Methods

showsPrec :: Int -> (a, b, c) -> ShowS Source #

show :: (a, b, c) -> String Source #

showList :: [(a, b, c)] -> ShowS Source #

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

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Methods

showsPrec :: Int -> (f :*: g) p -> ShowS Source #

show :: (f :*: g) p -> String Source #

showList :: [(f :*: g) p] -> ShowS Source #

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

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Methods

showsPrec :: Int -> (f :+: g) p -> ShowS Source #

show :: (f :+: g) p -> String Source #

showList :: [(f :+: g) p] -> ShowS Source #

Show c => Show (K1 i c p)

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Methods

showsPrec :: Int -> K1 i c p -> ShowS Source #

show :: K1 i c p -> String Source #

showList :: [K1 i c p] -> ShowS Source #

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

Since: base-2.1

Instance details

Defined in GHC.Show

Methods

showsPrec :: Int -> (a, b, c, d) -> ShowS Source #

show :: (a, b, c, d) -> String Source #

showList :: [(a, b, c, d)] -> ShowS Source #

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

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Methods

showsPrec :: Int -> (f :.: g) p -> ShowS Source #

show :: (f :.: g) p -> String Source #

showList :: [(f :.: g) p] -> ShowS Source #

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

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Methods

showsPrec :: Int -> M1 i c f p -> ShowS Source #

show :: M1 i c f p -> String Source #

showList :: [M1 i c f p] -> ShowS Source #

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

Since: base-2.1

Instance details

Defined in GHC.Show

Methods

showsPrec :: Int -> (a, b, c, d, e) -> ShowS Source #

show :: (a, b, c, d, e) -> String Source #

showList :: [(a, b, c, d, e)] -> ShowS Source #

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

Since: base-2.1

Instance details

Defined in GHC.Show

Methods

showsPrec :: Int -> (a, b, c, d, e, f) -> ShowS Source #

show :: (a, b, c, d, e, f) -> String Source #

showList :: [(a, b, c, d, e, f)] -> ShowS Source #

(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

Instance details

Defined in GHC.Show

Methods

showsPrec :: Int -> (a, b, c, d, e, f, g) -> ShowS Source #

show :: (a, b, c, d, e, f, g) -> String Source #

showList :: [(a, b, c, d, e, f, g)] -> ShowS Source #

(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

Instance details

Defined in GHC.Show

Methods

showsPrec :: Int -> (a, b, c, d, e, f, g, h) -> ShowS Source #

show :: (a, b, c, d, e, f, g, h) -> String Source #

showList :: [(a, b, c, d, e, f, g, h)] -> ShowS Source #

(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

Instance details

Defined in GHC.Show

Methods

showsPrec :: Int -> (a, b, c, d, e, f, g, h, i) -> ShowS Source #

show :: (a, b, c, d, e, f, g, h, i) -> String Source #

showList :: [(a, b, c, d, e, f, g, h, i)] -> ShowS Source #

(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

Instance details

Defined in GHC.Show

Methods

showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j) -> ShowS Source #

show :: (a, b, c, d, e, f, g, h, i, j) -> String Source #

showList :: [(a, b, c, d, e, f, g, h, i, j)] -> ShowS Source #

(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

Instance details

Defined in GHC.Show

Methods

showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j, k) -> ShowS Source #

show :: (a, b, c, d, e, f, g, h, i, j, k) -> String Source #

showList :: [(a, b, c, d, e, f, g, h, i, j, k)] -> ShowS Source #

(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

Instance details

Defined in GHC.Show

Methods

showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j, k, l) -> ShowS Source #

show :: (a, b, c, d, e, f, g, h, i, j, k, l) -> String Source #

showList :: [(a, b, c, d, e, f, g, h, i, j, k, l)] -> ShowS Source #

(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

Instance details

Defined in GHC.Show

Methods

showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> ShowS Source #

show :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> String Source #

showList :: [(a, b, c, d, e, f, g, h, i, j, k, l, m)] -> ShowS Source #

(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

Instance details

Defined in GHC.Show

Methods

showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> ShowS Source #

show :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> String Source #

showList :: [(a, b, c, d, e, f, g, h, i, j, k, l, m, n)] -> ShowS Source #

(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

Instance details

Defined in GHC.Show

Methods

showsPrec :: Int -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> ShowS Source #

show :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> String Source #

showList :: [(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)] -> ShowS Source #

class Read a Source #

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

Instances details
Read Version

Since: base-2.1

Instance details

Defined in Data.Version

Read CBool 
Instance details

Defined in Foreign.C.Types

Read CChar 
Instance details

Defined in Foreign.C.Types

Read CClock 
Instance details

Defined in Foreign.C.Types

Read CDouble 
Instance details

Defined in Foreign.C.Types

Read CFloat 
Instance details

Defined in Foreign.C.Types

Read CInt 
Instance details

Defined in Foreign.C.Types

Read CIntMax 
Instance details

Defined in Foreign.C.Types

Read CIntPtr 
Instance details

Defined in Foreign.C.Types

Read CLLong 
Instance details

Defined in Foreign.C.Types

Read CLong 
Instance details

Defined in Foreign.C.Types

Read CPtrdiff 
Instance details

Defined in Foreign.C.Types

Read CSChar 
Instance details

Defined in Foreign.C.Types

Read CSUSeconds 
Instance details

Defined in Foreign.C.Types

Read CShort 
Instance details

Defined in Foreign.C.Types

Read CSigAtomic 
Instance details

Defined in Foreign.C.Types

Read CSize 
Instance details

Defined in Foreign.C.Types

Read CTime 
Instance details

Defined in Foreign.C.Types

Read CUChar 
Instance details

Defined in Foreign.C.Types

Read CUInt 
Instance details

Defined in Foreign.C.Types

Read CUIntMax 
Instance details

Defined in Foreign.C.Types

Read CUIntPtr 
Instance details

Defined in Foreign.C.Types

Read CULLong 
Instance details

Defined in Foreign.C.Types

Read CULong 
Instance details

Defined in Foreign.C.Types

Read CUSeconds 
Instance details

Defined in Foreign.C.Types

Read CUShort 
Instance details

Defined in Foreign.C.Types

Read CWchar 
Instance details

Defined in Foreign.C.Types

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

Instance details

Defined in GHC.Read

Read Associativity

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Read DecidedStrictness

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Read Fixity

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Read SourceStrictness

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Read SourceUnpackedness

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Read ExitCode 
Instance details

Defined in GHC.IO.Exception

Read BufferMode

Since: base-4.2.0.0

Instance details

Defined in GHC.IO.Handle.Types

Read Newline

Since: base-4.3.0.0

Instance details

Defined in GHC.IO.Handle.Types

Read NewlineMode

Since: base-4.3.0.0

Instance details

Defined in GHC.IO.Handle.Types

Read Int16

Since: base-2.1

Instance details

Defined in GHC.Int

Read Int32

Since: base-2.1

Instance details

Defined in GHC.Int

Read Int64

Since: base-2.1

Instance details

Defined in GHC.Int

Read Int8

Since: base-2.1

Instance details

Defined in GHC.Int

Read GeneralCategory

Since: base-2.1

Instance details

Defined in GHC.Read

Read Word16

Since: base-2.1

Instance details

Defined in GHC.Read

Read Word32

Since: base-2.1

Instance details

Defined in GHC.Read

Read Word64

Since: base-2.1

Instance details

Defined in GHC.Read

Read Word8

Since: base-2.1

Instance details

Defined in GHC.Read

Read Lexeme

Since: base-2.1

Instance details

Defined in GHC.Read

Read ByteString 
Instance details

Defined in Data.ByteString.Internal.Type

Read ByteString 
Instance details

Defined in Data.ByteString.Lazy.Internal

Read ShortByteString 
Instance details

Defined in Data.ByteString.Short.Internal

Read IntSet 
Instance details

Defined in Data.IntSet.Internal

Read Ordering

Since: base-2.1

Instance details

Defined in GHC.Read

Read Integer

Since: base-2.1

Instance details

Defined in GHC.Read

Read Natural

Since: base-4.8.0.0

Instance details

Defined in GHC.Read

Read ()

Since: base-2.1

Instance details

Defined in GHC.Read

Read Bool

Since: base-2.1

Instance details

Defined in GHC.Read

Read Char

Since: base-2.1

Instance details

Defined in GHC.Read

Read Double

Since: base-2.1

Instance details

Defined in GHC.Read

Read Float

Since: base-2.1

Instance details

Defined in GHC.Read

Read Int

Since: base-2.1

Instance details

Defined in GHC.Read

Read Word

Since: base-4.5.0.0

Instance details

Defined in GHC.Read

Read a => Read (ZipList a)

Since: base-4.7.0.0

Instance details

Defined in Control.Applicative

Read a => Read (First a)

Since: base-2.1

Instance details

Defined in Data.Monoid

Read a => Read (Last a)

Since: base-2.1

Instance details

Defined in Data.Monoid

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

Instance details

Defined in Data.Ord

Read a => Read (NonEmpty a)

Since: base-4.11.0.0

Instance details

Defined in GHC.Read

Read p => Read (Par1 p)

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

(Integral a, Read a) => Read (Ratio a)

Since: base-2.1

Instance details

Defined in GHC.Read

Read e => Read (IntMap e) 
Instance details

Defined in Data.IntMap.Internal

Read a => Read (Seq a) 
Instance details

Defined in Data.Sequence.Internal

Read a => Read (ViewL a) 
Instance details

Defined in Data.Sequence.Internal

Read a => Read (ViewR a) 
Instance details

Defined in Data.Sequence.Internal

(Read a, Ord a) => Read (Set a) 
Instance details

Defined in Data.Set.Internal

Read a => Read (Tree a) 
Instance details

Defined in Data.Tree

Read a => Read (Array a) 
Instance details

Defined in Data.Primitive.Array

Methods

readsPrec :: Int -> ReadS (Array a) Source #

readList :: ReadS [Array a] Source #

readPrec :: ReadPrec (Array a) Source #

readListPrec :: ReadPrec [Array a] Source #

Read a => Read (SmallArray a) 
Instance details

Defined in Data.Primitive.SmallArray

Methods

readsPrec :: Int -> ReadS (SmallArray a) Source #

readList :: ReadS [SmallArray a] Source #

readPrec :: ReadPrec (SmallArray a) Source #

readListPrec :: ReadPrec [SmallArray a] Source #

(Eq a, Hashable a, Read a) => Read (HashSet a) 
Instance details

Defined in Data.HashSet.Internal

Read a => Read (Vector a) 
Instance details

Defined in Data.Vector

(Read a, Prim a) => Read (Vector a) 
Instance details

Defined in Data.Vector.Primitive

(Read a, Storable a) => Read (Vector a) 
Instance details

Defined in Data.Vector.Storable

Read a => Read (Maybe a)

Since: base-2.1

Instance details

Defined in GHC.Read

Read a => Read (a)

Since: base-4.15

Instance details

Defined in GHC.Read

Read a => Read [a]

Since: base-2.1

Instance details

Defined in GHC.Read

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

Since: base-3.0

Instance details

Defined in Data.Either

(Ix a, Read a, Read b) => Read (Array a b)

Since: base-2.1

Instance details

Defined in GHC.Read

Read (U1 p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Read (V1 p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

(Ord k, Read k, Read e) => Read (Map k e) 
Instance details

Defined in Data.Map.Internal

(Read1 m, Read a) => Read (MaybeT m a) 
Instance details

Defined in Control.Monad.Trans.Maybe

(Eq k, Hashable k, Read k, Read e) => Read (HashMap k e) 
Instance details

Defined in Data.HashMap.Internal

(Read a, Read b) => Read (a, b)

Since: base-2.1

Instance details

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (a, b) Source #

readList :: ReadS [(a, b)] Source #

readPrec :: ReadPrec (a, b) Source #

readListPrec :: ReadPrec [(a, b)] Source #

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

Instance details

Defined in Data.Functor.Const

Read (f a) => Read (Ap f a)

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Read (f p) => Read (Rec1 f p)

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

(Read e, Read1 m, Read a) => Read (ExceptT e m a) 
Instance details

Defined in Control.Monad.Trans.Except

(Read1 f, Read a) => Read (IdentityT f a) 
Instance details

Defined in Control.Monad.Trans.Identity

(Read w, Read1 m, Read a) => Read (WriterT w m a) 
Instance details

Defined in Control.Monad.Trans.Writer.Lazy

(Read w, Read1 m, Read a) => Read (WriterT w m a) 
Instance details

Defined in Control.Monad.Trans.Writer.Strict

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

Since: base-2.1

Instance details

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (a, b, c) Source #

readList :: ReadS [(a, b, c)] Source #

readPrec :: ReadPrec (a, b, c) Source #

readListPrec :: ReadPrec [(a, b, c)] Source #

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

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Methods

readsPrec :: Int -> ReadS ((f :*: g) p) Source #

readList :: ReadS [(f :*: g) p] Source #

readPrec :: ReadPrec ((f :*: g) p) Source #

readListPrec :: ReadPrec [(f :*: g) p] Source #

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

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Methods

readsPrec :: Int -> ReadS ((f :+: g) p) Source #

readList :: ReadS [(f :+: g) p] Source #

readPrec :: ReadPrec ((f :+: g) p) Source #

readListPrec :: ReadPrec [(f :+: g) p] Source #

Read c => Read (K1 i c p)

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Methods

readsPrec :: Int -> ReadS (K1 i c p) Source #

readList :: ReadS [K1 i c p] Source #

readPrec :: ReadPrec (K1 i c p) Source #

readListPrec :: ReadPrec [K1 i c p] Source #

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

Since: base-2.1

Instance details

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (a, b, c, d) Source #

readList :: ReadS [(a, b, c, d)] Source #

readPrec :: ReadPrec (a, b, c, d) Source #

readListPrec :: ReadPrec [(a, b, c, d)] Source #

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

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Methods

readsPrec :: Int -> ReadS ((f :.: g) p) Source #

readList :: ReadS [(f :.: g) p] Source #

readPrec :: ReadPrec ((f :.: g) p) Source #

readListPrec :: ReadPrec [(f :.: g) p] Source #

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

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Methods

readsPrec :: Int -> ReadS (M1 i c f p) Source #

readList :: ReadS [M1 i c f p] Source #

readPrec :: ReadPrec (M1 i c f p) Source #

readListPrec :: ReadPrec [M1 i c f p] Source #

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

Since: base-2.1

Instance details

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (a, b, c, d, e) Source #

readList :: ReadS [(a, b, c, d, e)] Source #

readPrec :: ReadPrec (a, b, c, d, e) Source #

readListPrec :: ReadPrec [(a, b, c, d, e)] Source #

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

Since: base-2.1

Instance details

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (a, b, c, d, e, f) Source #

readList :: ReadS [(a, b, c, d, e, f)] Source #

readPrec :: ReadPrec (a, b, c, d, e, f) Source #

readListPrec :: ReadPrec [(a, b, c, d, e, f)] Source #

(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

Instance details

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (a, b, c, d, e, f, g) Source #

readList :: ReadS [(a, b, c, d, e, f, g)] Source #

readPrec :: ReadPrec (a, b, c, d, e, f, g) Source #

readListPrec :: ReadPrec [(a, b, c, d, e, f, g)] Source #

(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

Instance details

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h) Source #

readList :: ReadS [(a, b, c, d, e, f, g, h)] Source #

readPrec :: ReadPrec (a, b, c, d, e, f, g, h) Source #

readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h)] Source #

(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

Instance details

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i) Source #

readList :: ReadS [(a, b, c, d, e, f, g, h, i)] Source #

readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i) Source #

readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i)] Source #

(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

Instance details

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j) Source #

readList :: ReadS [(a, b, c, d, e, f, g, h, i, j)] Source #

readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j) Source #

readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j)] Source #

(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

Instance details

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j, k) Source #

readList :: ReadS [(a, b, c, d, e, f, g, h, i, j, k)] Source #

readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j, k) Source #

readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j, k)] Source #

(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

Instance details

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j, k, l) Source #

readList :: ReadS [(a, b, c, d, e, f, g, h, i, j, k, l)] Source #

readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j, k, l) Source #

readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j, k, l)] Source #

(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

Instance details

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j, k, l, m) Source #

readList :: ReadS [(a, b, c, d, e, f, g, h, i, j, k, l, m)] Source #

readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j, k, l, m) Source #

readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j, k, l, m)] Source #

(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

Instance details

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j, k, l, m, n) Source #

readList :: ReadS [(a, b, c, d, e, f, g, h, i, j, k, l, m, n)] Source #

readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j, k, l, m, n) Source #

readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j, k, l, m, n)] Source #

(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

Instance details

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) Source #

readList :: ReadS [(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)] Source #

readPrec :: ReadPrec (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) Source #

readListPrec :: ReadPrec [(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)] Source #

class Functor (f :: Type -> Type) where Source #

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. See https://www.schoolofhaskell.com/user/edwardk/snippets/fmap or https://github.com/quchen/articles/blob/master/second_functor_law.md for an explanation.

Minimal complete definition

fmap

Methods

fmap :: (a -> b) -> f a -> f b Source #

fmap is used to apply a function of type (a -> b) to a value of type f a, where f is a functor, to produce a value of type f b. Note that for any type constructor with more than one parameter (e.g., Either), only the last type parameter can be modified with fmap (e.g., b in `Either a b`).

Some type constructors with two parameters or more have a Bifunctor instance that allows both the last and the penultimate parameters to be mapped over.

Examples

Expand

Convert from a Maybe Int to a Maybe String using show:

>>> fmap show Nothing
Nothing
>>> fmap show (Just 3)
Just "3"

Convert from an Either Int Int to an Either Int String using show:

>>> fmap show (Left 17)
Left 17
>>> fmap show (Right 17)
Right "17"

Double each element of a list:

>>> fmap (*2) [1,2,3]
[2,4,6]

Apply even to the second element of a pair:

>>> fmap even (2,2)
(2,True)

It may seem surprising that the function is only applied to the last element of the tuple compared to the list example above which applies it to every element in the list. To understand, remember that tuples are type constructors with multiple type parameters: a tuple of 3 elements (a,b,c) can also be written (,,) a b c and its Functor instance is defined for Functor ((,,) a b) (i.e., only the third parameter is free to be mapped over with fmap).

It explains why fmap can be used with tuples containing values of different types as in the following example:

>>> fmap even ("hello", 1.0, 4)
("hello",1.0,True)

(<$) :: a -> f b -> f a infixl 4 Source #

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.

Examples

Expand

Perform a computation with Maybe and replace the result with a constant value if it is Just:

>>> 'a' <$ Just 2
Just 'a'
>>> 'a' <$ Nothing
Nothing

Instances

Instances details
Functor ZipList

Since: base-2.1

Instance details

Defined in Control.Applicative

Methods

fmap :: (a -> b) -> ZipList a -> ZipList b Source #

(<$) :: a -> ZipList b -> ZipList a Source #

Functor Handler

Since: base-4.6.0.0

Instance details

Defined in Control.Exception

Methods

fmap :: (a -> b) -> Handler a -> Handler b Source #

(<$) :: a -> Handler b -> Handler a Source #

Functor First

Since: base-4.8.0.0

Instance details

Defined in Data.Monoid

Methods

fmap :: (a -> b) -> First a -> First b Source #

(<$) :: a -> First b -> First a Source #

Functor Last

Since: base-4.8.0.0

Instance details

Defined in Data.Monoid

Methods

fmap :: (a -> b) -> Last a -> Last b Source #

(<$) :: a -> Last b -> Last a Source #

Functor Down

Since: base-4.11.0.0

Instance details

Defined in Data.Ord

Methods

fmap :: (a -> b) -> Down a -> Down b Source #

(<$) :: a -> Down b -> Down a Source #

Functor NonEmpty

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

fmap :: (a -> b) -> NonEmpty a -> NonEmpty b Source #

(<$) :: a -> NonEmpty b -> NonEmpty a Source #

Functor Par1

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> Par1 a -> Par1 b Source #

(<$) :: a -> Par1 b -> Par1 a Source #

Functor P

Since: base-4.8.0.0

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

fmap :: (a -> b) -> P a -> P b Source #

(<$) :: a -> P b -> P a Source #

Functor ReadP

Since: base-2.1

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

fmap :: (a -> b) -> ReadP a -> ReadP b Source #

(<$) :: a -> ReadP b -> ReadP a Source #

Functor IntMap 
Instance details

Defined in Data.IntMap.Internal

Methods

fmap :: (a -> b) -> IntMap a -> IntMap b Source #

(<$) :: a -> IntMap b -> IntMap a Source #

Functor Digit 
Instance details

Defined in Data.Sequence.Internal

Methods

fmap :: (a -> b) -> Digit a -> Digit b Source #

(<$) :: a -> Digit b -> Digit a Source #

Functor Elem 
Instance details

Defined in Data.Sequence.Internal

Methods

fmap :: (a -> b) -> Elem a -> Elem b Source #

(<$) :: a -> Elem b -> Elem a Source #

Functor FingerTree 
Instance details

Defined in Data.Sequence.Internal

Methods

fmap :: (a -> b) -> FingerTree a -> FingerTree b Source #

(<$) :: a -> FingerTree b -> FingerTree a Source #

Functor Node 
Instance details

Defined in Data.Sequence.Internal

Methods

fmap :: (a -> b) -> Node a -> Node b Source #

(<$) :: a -> Node b -> Node a Source #

Functor Seq 
Instance details

Defined in Data.Sequence.Internal

Methods

fmap :: (a -> b) -> Seq a -> Seq b Source #

(<$) :: a -> Seq b -> Seq a Source #

Functor ViewL 
Instance details

Defined in Data.Sequence.Internal

Methods

fmap :: (a -> b) -> ViewL a -> ViewL b Source #

(<$) :: a -> ViewL b -> ViewL a Source #

Functor ViewR 
Instance details

Defined in Data.Sequence.Internal

Methods

fmap :: (a -> b) -> ViewR a -> ViewR b Source #

(<$) :: a -> ViewR b -> ViewR a Source #

Functor Tree 
Instance details

Defined in Data.Tree

Methods

fmap :: (a -> b) -> Tree a -> Tree b Source #

(<$) :: a -> Tree b -> Tree a Source #

Functor IO

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

fmap :: (a -> b) -> IO a -> IO b Source #

(<$) :: a -> IO b -> IO a Source #

Functor AnnotDetails 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

fmap :: (a -> b) -> AnnotDetails a -> AnnotDetails b Source #

(<$) :: a -> AnnotDetails b -> AnnotDetails a Source #

Functor Doc 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

fmap :: (a -> b) -> Doc a -> Doc b Source #

(<$) :: a -> Doc b -> Doc a Source #

Functor Span 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

fmap :: (a -> b) -> Span a -> Span b Source #

(<$) :: a -> Span b -> Span a Source #

Functor Array 
Instance details

Defined in Data.Primitive.Array

Methods

fmap :: (a -> b) -> Array a -> Array b Source #

(<$) :: a -> Array b -> Array a Source #

Functor SmallArray 
Instance details

Defined in Data.Primitive.SmallArray

Methods

fmap :: (a -> b) -> SmallArray a -> SmallArray b Source #

(<$) :: a -> SmallArray b -> SmallArray a Source #

Functor Q 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

fmap :: (a -> b) -> Q a -> Q b Source #

(<$) :: a -> Q b -> Q a Source #

Functor TyVarBndr 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

fmap :: (a -> b) -> TyVarBndr a -> TyVarBndr b Source #

(<$) :: a -> TyVarBndr b -> TyVarBndr a Source #

Functor Vector 
Instance details

Defined in Data.Vector

Methods

fmap :: (a -> b) -> Vector a -> Vector b Source #

(<$) :: a -> Vector b -> Vector a Source #

Functor Maybe

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

fmap :: (a -> b) -> Maybe a -> Maybe b Source #

(<$) :: a -> Maybe b -> Maybe a Source #

Functor Solo

Since: base-4.15

Instance details

Defined in GHC.Base

Methods

fmap :: (a -> b) -> Solo a -> Solo b Source #

(<$) :: a -> Solo b -> Solo a Source #

Functor List

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

fmap :: (a -> b) -> [a] -> [b] Source #

(<$) :: a -> [b] -> [a] Source #

Monad m => Functor (WrappedMonad m)

Since: base-2.1

Instance details

Defined in Control.Applicative

Methods

fmap :: (a -> b) -> WrappedMonad m a -> WrappedMonad m b Source #

(<$) :: a -> WrappedMonad m b -> WrappedMonad m a Source #

Arrow a => Functor (ArrowMonad a)

Since: base-4.6.0.0

Instance details

Defined in Control.Arrow

Methods

fmap :: (a0 -> b) -> ArrowMonad a a0 -> ArrowMonad a b Source #

(<$) :: a0 -> ArrowMonad a b -> ArrowMonad a a0 Source #

Functor (Either a)

Since: base-3.0

Instance details

Defined in Data.Either

Methods

fmap :: (a0 -> b) -> Either a a0 -> Either a b Source #

(<$) :: a0 -> Either a b -> Either a a0 Source #

Functor (U1 :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> U1 a -> U1 b Source #

(<$) :: a -> U1 b -> U1 a Source #

Functor (V1 :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> V1 a -> V1 b Source #

(<$) :: a -> V1 b -> V1 a Source #

Functor (Map k) 
Instance details

Defined in Data.Map.Internal

Methods

fmap :: (a -> b) -> Map k a -> Map k b Source #

(<$) :: a -> Map k b -> Map k a Source #

Functor m => Functor (MaybeT m) 
Instance details

Defined in Control.Monad.Trans.Maybe

Methods

fmap :: (a -> b) -> MaybeT m a -> MaybeT m b Source #

(<$) :: a -> MaybeT m b -> MaybeT m a Source #

Functor (HashMap k) 
Instance details

Defined in Data.HashMap.Internal

Methods

fmap :: (a -> b) -> HashMap k a -> HashMap k b Source #

(<$) :: a -> HashMap k b -> HashMap k a Source #

Functor ((,) a)

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

fmap :: (a0 -> b) -> (a, a0) -> (a, b) Source #

(<$) :: a0 -> (a, b) -> (a, a0) Source #

Arrow a => Functor (WrappedArrow a b)

Since: base-2.1

Instance details

Defined in Control.Applicative

Methods

fmap :: (a0 -> b0) -> WrappedArrow a b a0 -> WrappedArrow a b b0 Source #

(<$) :: a0 -> WrappedArrow a b b0 -> WrappedArrow a b a0 Source #

Functor m => Functor (Kleisli m a)

Since: base-4.14.0.0

Instance details

Defined in Control.Arrow

Methods

fmap :: (a0 -> b) -> Kleisli m a a0 -> Kleisli m a b Source #

(<$) :: a0 -> Kleisli m a b -> Kleisli m a a0 Source #

Functor (Const m :: Type -> Type)

Since: base-2.1

Instance details

Defined in Data.Functor.Const

Methods

fmap :: (a -> b) -> Const m a -> Const m b Source #

(<$) :: a -> Const m b -> Const m a Source #

Functor f => Functor (Ap f)

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

fmap :: (a -> b) -> Ap f a -> Ap f b Source #

(<$) :: a -> Ap f b -> Ap f a Source #

(Generic1 f, Functor (Rep1 f)) => Functor (Generically1 f)

Since: base-4.17.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> Generically1 f a -> Generically1 f b Source #

(<$) :: a -> Generically1 f b -> Generically1 f a Source #

Functor f => Functor (Rec1 f)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> Rec1 f a -> Rec1 f b Source #

(<$) :: a -> Rec1 f b -> Rec1 f a Source #

Functor (URec (Ptr ()) :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec (Ptr ()) a -> URec (Ptr ()) b Source #

(<$) :: a -> URec (Ptr ()) b -> URec (Ptr ()) a Source #

Functor (URec Char :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Char a -> URec Char b Source #

(<$) :: a -> URec Char b -> URec Char a Source #

Functor (URec Double :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Double a -> URec Double b Source #

(<$) :: a -> URec Double b -> URec Double a Source #

Functor (URec Float :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Float a -> URec Float b Source #

(<$) :: a -> URec Float b -> URec Float a Source #

Functor (URec Int :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Int a -> URec Int b Source #

(<$) :: a -> URec Int b -> URec Int a Source #

Functor (URec Word :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Word a -> URec Word b Source #

(<$) :: a -> URec Word b -> URec Word a Source #

(Applicative f, Monad f) => Functor (WhenMissing f x)

Since: containers-0.5.9

Instance details

Defined in Data.IntMap.Internal

Methods

fmap :: (a -> b) -> WhenMissing f x a -> WhenMissing f x b Source #

(<$) :: a -> WhenMissing f x b -> WhenMissing f x a Source #

Functor m => Functor (AccumT w m) 
Instance details

Defined in Control.Monad.Trans.Accum

Methods

fmap :: (a -> b) -> AccumT w m a -> AccumT w m b Source #

(<$) :: a -> AccumT w m b -> AccumT w m a Source #

Functor m => Functor (ExceptT e m) 
Instance details

Defined in Control.Monad.Trans.Except

Methods

fmap :: (a -> b) -> ExceptT e m a -> ExceptT e m b Source #

(<$) :: a -> ExceptT e m b -> ExceptT e m a Source #

Functor m => Functor (IdentityT m) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

fmap :: (a -> b) -> IdentityT m a -> IdentityT m b Source #

(<$) :: a -> IdentityT m b -> IdentityT m a Source #

Functor m => Functor (ReaderT r m) 
Instance details

Defined in Control.Monad.Trans.Reader

Methods

fmap :: (a -> b) -> ReaderT r m a -> ReaderT r m b Source #

(<$) :: a -> ReaderT r m b -> ReaderT r m a Source #

Functor m => Functor (SelectT r m) 
Instance details

Defined in Control.Monad.Trans.Select

Methods

fmap :: (a -> b) -> SelectT r m a -> SelectT r m b Source #

(<$) :: a -> SelectT r m b -> SelectT r m a Source #

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

Defined in Control.Monad.Trans.State.Lazy

Methods

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

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

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

Defined in Control.Monad.Trans.State.Strict

Methods

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

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

Functor m => Functor (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.CPS

Methods

fmap :: (a -> b) -> WriterT w m a -> WriterT w m b Source #

(<$) :: a -> WriterT w m b -> WriterT w m a Source #

Functor m => Functor (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.Lazy

Methods

fmap :: (a -> b) -> WriterT w m a -> WriterT w m b Source #

(<$) :: a -> WriterT w m b -> WriterT w m a Source #

Functor m => Functor (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.Strict

Methods

fmap :: (a -> b) -> WriterT w m a -> WriterT w m b Source #

(<$) :: a -> WriterT w m b -> WriterT w m a Source #

Functor ((,,) a b)

Since: base-4.14.0.0

Instance details

Defined in GHC.Base

Methods

fmap :: (a0 -> b0) -> (a, b, a0) -> (a, b, b0) Source #

(<$) :: a0 -> (a, b, b0) -> (a, b, a0) Source #

(Functor f, Functor g) => Functor (f :*: g)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> (f :*: g) a -> (f :*: g) b Source #

(<$) :: a -> (f :*: g) b -> (f :*: g) a Source #

(Functor f, Functor g) => Functor (f :+: g)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> (f :+: g) a -> (f :+: g) b Source #

(<$) :: a -> (f :+: g) b -> (f :+: g) a Source #

Functor (K1 i c :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> K1 i c a -> K1 i c b Source #

(<$) :: a -> K1 i c b -> K1 i c a Source #

Functor f => Functor (WhenMatched f x y)

Since: containers-0.5.9

Instance details

Defined in Data.IntMap.Internal

Methods

fmap :: (a -> b) -> WhenMatched f x y a -> WhenMatched f x y b Source #

(<$) :: a -> WhenMatched f x y b -> WhenMatched f x y a Source #

(Applicative f, Monad f) => Functor (WhenMissing f k x)

Since: containers-0.5.9

Instance details

Defined in Data.Map.Internal

Methods

fmap :: (a -> b) -> WhenMissing f k x a -> WhenMissing f k x b Source #

(<$) :: a -> WhenMissing f k x b -> WhenMissing f k x a Source #

Functor (ContT r m) 
Instance details

Defined in Control.Monad.Trans.Cont

Methods

fmap :: (a -> b) -> ContT r m a -> ContT r m b Source #

(<$) :: a -> ContT r m b -> ContT r m a Source #

Functor ((,,,) a b c)

Since: base-4.14.0.0

Instance details

Defined in GHC.Base

Methods

fmap :: (a0 -> b0) -> (a, b, c, a0) -> (a, b, c, b0) Source #

(<$) :: a0 -> (a, b, c, b0) -> (a, b, c, a0) Source #

Functor ((->) r)

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

fmap :: (a -> b) -> (r -> a) -> r -> b Source #

(<$) :: a -> (r -> b) -> r -> a Source #

(Functor f, Functor g) => Functor (f :.: g)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> (f :.: g) a -> (f :.: g) b Source #

(<$) :: a -> (f :.: g) b -> (f :.: g) a Source #

Functor f => Functor (M1 i c f)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> M1 i c f a -> M1 i c f b Source #

(<$) :: a -> M1 i c f b -> M1 i c f a Source #

Functor f => Functor (WhenMatched f k x y)

Since: containers-0.5.9

Instance details

Defined in Data.Map.Internal

Methods

fmap :: (a -> b) -> WhenMatched f k x y a -> WhenMatched f k x y b Source #

(<$) :: a -> WhenMatched f k x y b -> WhenMatched f k x y a Source #

Functor m => Functor (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.CPS

Methods

fmap :: (a -> b) -> RWST r w s m a -> RWST r w s m b Source #

(<$) :: a -> RWST r w s m b -> RWST r w s m a Source #

Functor m => Functor (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.Lazy

Methods

fmap :: (a -> b) -> RWST r w s m a -> RWST r w s m b Source #

(<$) :: a -> RWST r w s m b -> RWST r w s m a Source #

Functor m => Functor (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.Strict

Methods

fmap :: (a -> b) -> RWST r w s m a -> RWST r w s m b Source #

(<$) :: a -> RWST r w s m b -> RWST r w s m a Source #

Functor ((,,,,) a b c d)

Since: base-4.18.0.0

Instance details

Defined in GHC.Base

Methods

fmap :: (a0 -> b0) -> (a, b, c, d, a0) -> (a, b, c, d, b0) Source #

(<$) :: a0 -> (a, b, c, d, b0) -> (a, b, c, d, a0) Source #

Functor ((,,,,,) a b c d e)

Since: base-4.18.0.0

Instance details

Defined in GHC.Base

Methods

fmap :: (a0 -> b0) -> (a, b, c, d, e, a0) -> (a, b, c, d, e, b0) Source #

(<$) :: a0 -> (a, b, c, d, e, b0) -> (a, b, c, d, e, a0) Source #

Functor ((,,,,,,) a b c d e f)

Since: base-4.18.0.0

Instance details

Defined in GHC.Base

Methods

fmap :: (a0 -> b0) -> (a, b, c, d, e, f, a0) -> (a, b, c, d, e, f, b0) Source #

(<$) :: a0 -> (a, b, c, d, e, f, b0) -> (a, b, c, d, e, f, a0) Source #

class Applicative m => Monad (m :: Type -> Type) where Source #

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:

The above laws imply:

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 Source #

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 Source #

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 Source #

Inject a value into the monadic type.

Instances

Instances details
Monad First

Since: base-4.8.0.0

Instance details

Defined in Data.Monoid

Methods

(>>=) :: First a -> (a -> First b) -> First b Source #

(>>) :: First a -> First b -> First b Source #

return :: a -> First a Source #

Monad Last

Since: base-4.8.0.0

Instance details

Defined in Data.Monoid

Methods

(>>=) :: Last a -> (a -> Last b) -> Last b Source #

(>>) :: Last a -> Last b -> Last b Source #

return :: a -> Last a Source #

Monad Down

Since: base-4.11.0.0

Instance details

Defined in Data.Ord

Methods

(>>=) :: Down a -> (a -> Down b) -> Down b Source #

(>>) :: Down a -> Down b -> Down b Source #

return :: a -> Down a Source #

Monad NonEmpty

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

(>>=) :: NonEmpty a -> (a -> NonEmpty b) -> NonEmpty b Source #

(>>) :: NonEmpty a -> NonEmpty b -> NonEmpty b Source #

return :: a -> NonEmpty a Source #

Monad Par1

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

(>>=) :: Par1 a -> (a -> Par1 b) -> Par1 b Source #

(>>) :: Par1 a -> Par1 b -> Par1 b Source #

return :: a -> Par1 a Source #

Monad P

Since: base-2.1

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

(>>=) :: P a -> (a -> P b) -> P b Source #

(>>) :: P a -> P b -> P b Source #

return :: a -> P a Source #

Monad ReadP

Since: base-2.1

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

(>>=) :: ReadP a -> (a -> ReadP b) -> ReadP b Source #

(>>) :: ReadP a -> ReadP b -> ReadP b Source #

return :: a -> ReadP a Source #

Monad Seq 
Instance details

Defined in Data.Sequence.Internal

Methods

(>>=) :: Seq a -> (a -> Seq b) -> Seq b Source #

(>>) :: Seq a -> Seq b -> Seq b Source #

return :: a -> Seq a Source #

Monad Tree 
Instance details

Defined in Data.Tree

Methods

(>>=) :: Tree a -> (a -> Tree b) -> Tree b Source #

(>>) :: Tree a -> Tree b -> Tree b Source #

return :: a -> Tree a Source #

Monad IO

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

(>>=) :: IO a -> (a -> IO b) -> IO b Source #

(>>) :: IO a -> IO b -> IO b Source #

return :: a -> IO a Source #

Monad Array 
Instance details

Defined in Data.Primitive.Array

Methods

(>>=) :: Array a -> (a -> Array b) -> Array b Source #

(>>) :: Array a -> Array b -> Array b Source #

return :: a -> Array a Source #

Monad SmallArray 
Instance details

Defined in Data.Primitive.SmallArray

Methods

(>>=) :: SmallArray a -> (a -> SmallArray b) -> SmallArray b Source #

(>>) :: SmallArray a -> SmallArray b -> SmallArray b Source #

return :: a -> SmallArray a Source #

Monad Q 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

(>>=) :: Q a -> (a -> Q b) -> Q b Source #

(>>) :: Q a -> Q b -> Q b Source #

return :: a -> Q a Source #

Monad Vector 
Instance details

Defined in Data.Vector

Methods

(>>=) :: Vector a -> (a -> Vector b) -> Vector b Source #

(>>) :: Vector a -> Vector b -> Vector b Source #

return :: a -> Vector a Source #

Monad Maybe

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

(>>=) :: Maybe a -> (a -> Maybe b) -> Maybe b Source #

(>>) :: Maybe a -> Maybe b -> Maybe b Source #

return :: a -> Maybe a Source #

Monad Solo

Since: base-4.15

Instance details

Defined in GHC.Base

Methods

(>>=) :: Solo a -> (a -> Solo b) -> Solo b Source #

(>>) :: Solo a -> Solo b -> Solo b Source #

return :: a -> Solo a Source #

Monad List

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

(>>=) :: [a] -> (a -> [b]) -> [b] Source #

(>>) :: [a] -> [b] -> [b] Source #

return :: a -> [a] Source #

Monad m => Monad (WrappedMonad m)

Since: base-4.7.0.0

Instance details

Defined in Control.Applicative

Methods

(>>=) :: WrappedMonad m a -> (a -> WrappedMonad m b) -> WrappedMonad m b Source #

(>>) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m b Source #

return :: a -> WrappedMonad m a Source #

ArrowApply a => Monad (ArrowMonad a)

Since: base-2.1

Instance details

Defined in Control.Arrow

Methods

(>>=) :: ArrowMonad a a0 -> (a0 -> ArrowMonad a b) -> ArrowMonad a b Source #

(>>) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a b Source #

return :: a0 -> ArrowMonad a a0 Source #

Monad (Either e)

Since: base-4.4.0.0

Instance details

Defined in Data.Either

Methods

(>>=) :: Either e a -> (a -> Either e b) -> Either e b Source #

(>>) :: Either e a -> Either e b -> Either e b Source #

return :: a -> Either e a Source #

Monad (U1 :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

(>>=) :: U1 a -> (a -> U1 b) -> U1 b Source #

(>>) :: U1 a -> U1 b -> U1 b Source #

return :: a -> U1 a Source #

Monad m => Monad (MaybeT m) 
Instance details

Defined in Control.Monad.Trans.Maybe

Methods

(>>=) :: MaybeT m a -> (a -> MaybeT m b) -> MaybeT m b Source #

(>>) :: MaybeT m a -> MaybeT m b -> MaybeT m b Source #

return :: a -> MaybeT m a Source #

Monoid a => Monad ((,) a)

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

(>>=) :: (a, a0) -> (a0 -> (a, b)) -> (a, b) Source #

(>>) :: (a, a0) -> (a, b) -> (a, b) Source #

return :: a0 -> (a, a0) Source #

Monad m => Monad (Kleisli m a)

Since: base-4.14.0.0

Instance details

Defined in Control.Arrow

Methods

(>>=) :: Kleisli m a a0 -> (a0 -> Kleisli m a b) -> Kleisli m a b Source #

(>>) :: Kleisli m a a0 -> Kleisli m a b -> Kleisli m a b Source #

return :: a0 -> Kleisli m a a0 Source #

Monad f => Monad (Ap f)

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

(>>=) :: Ap f a -> (a -> Ap f b) -> Ap f b Source #

(>>) :: Ap f a -> Ap f b -> Ap f b Source #

return :: a -> Ap f a Source #

Monad f => Monad (Rec1 f)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

(>>=) :: Rec1 f a -> (a -> Rec1 f b) -> Rec1 f b Source #

(>>) :: Rec1 f a -> Rec1 f b -> Rec1 f b Source #

return :: a -> Rec1 f a Source #

(Applicative f, Monad f) => Monad (WhenMissing f x)

Equivalent to ReaderT k (ReaderT x (MaybeT f)).

Since: containers-0.5.9

Instance details

Defined in Data.IntMap.Internal

Methods

(>>=) :: WhenMissing f x a -> (a -> WhenMissing f x b) -> WhenMissing f x b Source #

(>>) :: WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x b Source #

return :: a -> WhenMissing f x a Source #

(Monoid w, Functor m, Monad m) => Monad (AccumT w m) 
Instance details

Defined in Control.Monad.Trans.Accum

Methods

(>>=) :: AccumT w m a -> (a -> AccumT w m b) -> AccumT w m b Source #

(>>) :: AccumT w m a -> AccumT w m b -> AccumT w m b Source #

return :: a -> AccumT w m a Source #

Monad m => Monad (ExceptT e m) 
Instance details

Defined in Control.Monad.Trans.Except

Methods

(>>=) :: ExceptT e m a -> (a -> ExceptT e m b) -> ExceptT e m b Source #

(>>) :: ExceptT e m a -> ExceptT e m b -> ExceptT e m b Source #

return :: a -> ExceptT e m a Source #

Monad m => Monad (IdentityT m) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

(>>=) :: IdentityT m a -> (a -> IdentityT m b) -> IdentityT m b Source #

(>>) :: IdentityT m a -> IdentityT m b -> IdentityT m b Source #

return :: a -> IdentityT m a Source #

Monad m => Monad (ReaderT r m) 
Instance details

Defined in Control.Monad.Trans.Reader

Methods

(>>=) :: ReaderT r m a -> (a -> ReaderT r m b) -> ReaderT r m b Source #

(>>) :: ReaderT r m a -> ReaderT r m b -> ReaderT r m b Source #

return :: a -> ReaderT r m a Source #

Monad m => Monad (SelectT r m) 
Instance details

Defined in Control.Monad.Trans.Select

Methods

(>>=) :: SelectT r m a -> (a -> SelectT r m b) -> SelectT r m b Source #

(>>) :: SelectT r m a -> SelectT r m b -> SelectT r m b Source #

return :: a -> SelectT r m a Source #

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

Defined in Control.Monad.Trans.State.Lazy

Methods

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

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

return :: a -> StateT s m a Source #

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

Defined in Control.Monad.Trans.State.Strict

Methods

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

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

return :: a -> StateT s m a Source #

Monad m => Monad (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.CPS

Methods

(>>=) :: WriterT w m a -> (a -> WriterT w m b) -> WriterT w m b Source #

(>>) :: WriterT w m a -> WriterT w m b -> WriterT w m b Source #

return :: a -> WriterT w m a Source #

(Monoid w, Monad m) => Monad (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.Lazy

Methods

(>>=) :: WriterT w m a -> (a -> WriterT w m b) -> WriterT w m b Source #

(>>) :: WriterT w m a -> WriterT w m b -> WriterT w m b Source #

return :: a -> WriterT w m a Source #

(Monoid w, Monad m) => Monad (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.Strict

Methods

(>>=) :: WriterT w m a -> (a -> WriterT w m b) -> WriterT w m b Source #

(>>) :: WriterT w m a -> WriterT w m b -> WriterT w m b Source #

return :: a -> WriterT w m a Source #

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

Since: base-4.14.0.0

Instance details

Defined in GHC.Base

Methods

(>>=) :: (a, b, a0) -> (a0 -> (a, b, b0)) -> (a, b, b0) Source #

(>>) :: (a, b, a0) -> (a, b, b0) -> (a, b, b0) Source #

return :: a0 -> (a, b, a0) Source #

(Monad f, Monad g) => Monad (f :*: g)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

(>>=) :: (f :*: g) a -> (a -> (f :*: g) b) -> (f :*: g) b Source #

(>>) :: (f :*: g) a -> (f :*: g) b -> (f :*: g) b Source #

return :: a -> (f :*: g) a Source #

(Monad f, Applicative f) => Monad (WhenMatched f x y)

Equivalent to ReaderT Key (ReaderT x (ReaderT y (MaybeT f)))

Since: containers-0.5.9

Instance details

Defined in Data.IntMap.Internal

Methods

(>>=) :: WhenMatched f x y a -> (a -> WhenMatched f x y b) -> WhenMatched f x y b Source #

(>>) :: WhenMatched f x y a -> WhenMatched f x y b -> WhenMatched f x y b Source #

return :: a -> WhenMatched f x y a Source #

(Applicative f, Monad f) => Monad (WhenMissing f k x)

Equivalent to ReaderT k (ReaderT x (MaybeT f)) .

Since: containers-0.5.9

Instance details

Defined in Data.Map.Internal

Methods

(>>=) :: WhenMissing f k x a -> (a -> WhenMissing f k x b) -> WhenMissing f k x b Source #

(>>) :: WhenMissing f k x a -> WhenMissing f k x b -> WhenMissing f k x b Source #

return :: a -> WhenMissing f k x a Source #

Monad (ContT r m) 
Instance details

Defined in Control.Monad.Trans.Cont

Methods

(>>=) :: ContT r m a -> (a -> ContT r m b) -> ContT r m b Source #

(>>) :: ContT r m a -> ContT r m b -> ContT r m b Source #

return :: a -> ContT r m a Source #

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

Since: base-4.14.0.0

Instance details

Defined in GHC.Base

Methods

(>>=) :: (a, b, c, a0) -> (a0 -> (a, b, c, b0)) -> (a, b, c, b0) Source #

(>>) :: (a, b, c, a0) -> (a, b, c, b0) -> (a, b, c, b0) Source #

return :: a0 -> (a, b, c, a0) Source #

Monad ((->) r)

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

(>>=) :: (r -> a) -> (a -> r -> b) -> r -> b Source #

(>>) :: (r -> a) -> (r -> b) -> r -> b Source #

return :: a -> r -> a Source #

Monad f => Monad (M1 i c f)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

(>>=) :: M1 i c f a -> (a -> M1 i c f b) -> M1 i c f b Source #

(>>) :: M1 i c f a -> M1 i c f b -> M1 i c f b Source #

return :: a -> M1 i c f a Source #

(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

Instance details

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 Source #

(>>) :: WhenMatched f k x y a -> WhenMatched f k x y b -> WhenMatched f k x y b Source #

return :: a -> WhenMatched f k x y a Source #

Monad m => Monad (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.CPS

Methods

(>>=) :: RWST r w s m a -> (a -> RWST r w s m b) -> RWST r w s m b Source #

(>>) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m b Source #

return :: a -> RWST r w s m a Source #

(Monoid w, Monad m) => Monad (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.Lazy

Methods

(>>=) :: RWST r w s m a -> (a -> RWST r w s m b) -> RWST r w s m b Source #

(>>) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m b Source #

return :: a -> RWST r w s m a Source #

(Monoid w, Monad m) => Monad (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.Strict

Methods

(>>=) :: RWST r w s m a -> (a -> RWST r w s m b) -> RWST r w s m b Source #

(>>) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m b Source #

return :: a -> RWST r w s m a Source #

(=<<) :: Monad m => (a -> m b) -> m a -> m b infixr 1 Source #

Same as >>=, but with the arguments interchanged.

class IsString a where Source #

IsString is used in combination with the -XOverloadedStrings language extension to convert the literals to different string types.

For example, if you use the text package, you can say

{-# LANGUAGE OverloadedStrings  #-}

myText = "hello world" :: Text

Internally, the extension will convert this to the equivalent of

myText = fromString @Text ("hello world" :: String)

Note: You can use fromString in normal code as well, but the usual performance/memory efficiency problems with String apply.

Methods

fromString :: String -> a Source #

Instances

Instances details
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�

Instance details

Defined in Data.ByteString.Internal.Type

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�

Instance details

Defined in Data.ByteString.Lazy.Internal

IsString ShortByteString

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�

Instance details

Defined in Data.ByteString.Short.Internal

IsString Doc 
Instance details

Defined in Text.PrettyPrint.HughesPJ

IsString a => IsString (Identity a)

Since: base-4.9.0.0

Instance details

Defined in Data.String

a ~ Char => IsString (Seq a)

Since: containers-0.5.7

Instance details

Defined in Data.Sequence.Internal

Methods

fromString :: String -> Seq a Source #

(IsString a, Hashable a) => IsString (Hashed a) 
Instance details

Defined in Data.Hashable.Class

IsString (Doc a) 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

fromString :: String -> Doc a Source #

a ~ Char => IsString [a]

(a ~ Char) context was introduced in 4.9.0.0

Since: base-2.1

Instance details

Defined in Data.String

Methods

fromString :: String -> [a] Source #

IsString a => IsString (Const a b)

Since: base-4.9.0.0

Instance details

Defined in Data.String

Methods

fromString :: String -> Const a b Source #

Numeric type classes

class Num a where Source #

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)
Coherence with toInteger
if the type also implements Integral, then fromInteger is a left inverse for toInteger, i.e. fromInteger (toInteger i) == i

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 Source #

(-) :: a -> a -> a infixl 6 Source #

(*) :: a -> a -> a infixl 7 Source #

negate :: a -> a Source #

Unary negation.

abs :: a -> a Source #

Absolute value.

signum :: a -> a Source #

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 Source #

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

Instances details
Num CBool 
Instance details

Defined in Foreign.C.Types

Num CChar 
Instance details

Defined in Foreign.C.Types

Num CClock 
Instance details

Defined in Foreign.C.Types

Num CDouble 
Instance details

Defined in Foreign.C.Types

Num CFloat 
Instance details

Defined in Foreign.C.Types

Num CInt 
Instance details

Defined in Foreign.C.Types

Num CIntMax 
Instance details

Defined in Foreign.C.Types

Num CIntPtr 
Instance details

Defined in Foreign.C.Types

Num CLLong 
Instance details

Defined in Foreign.C.Types

Num CLong 
Instance details

Defined in Foreign.C.Types

Num CPtrdiff 
Instance details

Defined in Foreign.C.Types

Num CSChar 
Instance details

Defined in Foreign.C.Types

Num CSUSeconds 
Instance details

Defined in Foreign.C.Types

Num CShort 
Instance details

Defined in Foreign.C.Types

Num CSigAtomic 
Instance details

Defined in Foreign.C.Types

Num CSize 
Instance details

Defined in Foreign.C.Types

Num CTime 
Instance details

Defined in Foreign.C.Types

Num CUChar 
Instance details

Defined in Foreign.C.Types

Num CUInt 
Instance details

Defined in Foreign.C.Types

Num CUIntMax 
Instance details

Defined in Foreign.C.Types

Num CUIntPtr 
Instance details

Defined in Foreign.C.Types

Num CULLong 
Instance details

Defined in Foreign.C.Types

Num CULong 
Instance details

Defined in Foreign.C.Types

Num CUSeconds 
Instance details

Defined in Foreign.C.Types

Num CUShort 
Instance details

Defined in Foreign.C.Types

Num CWchar 
Instance details

Defined in Foreign.C.Types

Num Int16

Since: base-2.1

Instance details

Defined in GHC.Int

Num Int32

Since: base-2.1

Instance details

Defined in GHC.Int

Num Int64

Since: base-2.1

Instance details

Defined in GHC.Int

Num Int8

Since: base-2.1

Instance details

Defined in GHC.Int

Num Word16

Since: base-2.1

Instance details

Defined in GHC.Word

Num Word32

Since: base-2.1

Instance details

Defined in GHC.Word

Num Word64

Since: base-2.1

Instance details

Defined in GHC.Word

Num Word8

Since: base-2.1

Instance details

Defined in GHC.Word

Num Integer

Since: base-2.1

Instance details

Defined in GHC.Num

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

Instance details

Defined in GHC.Num

Num Int

Since: base-2.1

Instance details

Defined in GHC.Num

Num Word

Since: base-2.1

Instance details

Defined in GHC.Num

Num a => Num (Down a)

Since: base-4.11.0.0

Instance details

Defined in Data.Ord

Methods

(+) :: Down a -> Down a -> Down a Source #

(-) :: Down a -> Down a -> Down a Source #

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

negate :: Down a -> Down a Source #

abs :: Down a -> Down a Source #

signum :: Down a -> Down a Source #

fromInteger :: Integer -> Down a Source #

Integral a => Num (Ratio a)

Since: base-2.0.1

Instance details

Defined in GHC.Real

Methods

(+) :: Ratio a -> Ratio a -> Ratio a Source #

(-) :: Ratio a -> Ratio a -> Ratio a Source #

(*) :: Ratio a -> Ratio a -> Ratio a Source #

negate :: Ratio a -> Ratio a Source #

abs :: Ratio a -> Ratio a Source #

signum :: Ratio a -> Ratio a Source #

fromInteger :: Integer -> Ratio a Source #

Num a => Num (Const a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Methods

(+) :: Const a b -> Const a b -> Const a b Source #

(-) :: Const a b -> Const a b -> Const a b Source #

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

negate :: Const a b -> Const a b Source #

abs :: Const a b -> Const a b Source #

signum :: Const a b -> Const a b Source #

fromInteger :: Integer -> Const a b Source #

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

Note that even if the underlying Num and Applicative instances are lawful, for most Applicatives, this instance will not be lawful. If you use this instance with the list Applicative, the following customary laws will not hold:

Commutativity:

>>> Ap [10,20] + Ap [1,2]
Ap {getAp = [11,12,21,22]}
>>> Ap [1,2] + Ap [10,20]
Ap {getAp = [11,21,12,22]}

Additive inverse:

>>> Ap [] + negate (Ap [])
Ap {getAp = []}
>>> fromInteger 0 :: Ap [] Int
Ap {getAp = [0]}

Distributivity:

>>> Ap [1,2] * (3 + 4)
Ap {getAp = [7,14]}
>>> (Ap [1,2] * 3) + (Ap [1,2] * 4)
Ap {getAp = [7,11,10,14]}

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

(+) :: Ap f a -> Ap f a -> Ap f a Source #

(-) :: Ap f a -> Ap f a -> Ap f a Source #

(*) :: Ap f a -> Ap f a -> Ap f a Source #

negate :: Ap f a -> Ap f a Source #

abs :: Ap f a -> Ap f a Source #

signum :: Ap f a -> Ap f a Source #

fromInteger :: Integer -> Ap f a Source #

class (Num a, Ord a) => Real a where Source #

Real numbers.

The Haskell report defines no laws for Real, however Real instances are customarily expected to adhere to the following law:

Coherence with fromRational
if the type also implements Fractional, then fromRational is a left inverse for toRational, i.e. fromRational (toRational i) = i

Methods

toRational :: a -> Rational Source #

the rational equivalent of its real argument with full precision

Instances

Instances details
Real CBool 
Instance details

Defined in Foreign.C.Types

Real CChar 
Instance details

Defined in Foreign.C.Types

Real CClock 
Instance details

Defined in Foreign.C.Types

Real CDouble 
Instance details

Defined in Foreign.C.Types

Real CFloat 
Instance details

Defined in Foreign.C.Types

Real CInt 
Instance details

Defined in Foreign.C.Types

Real CIntMax 
Instance details

Defined in Foreign.C.Types

Real CIntPtr 
Instance details

Defined in Foreign.C.Types

Real CLLong 
Instance details

Defined in Foreign.C.Types

Real CLong 
Instance details

Defined in Foreign.C.Types

Real CPtrdiff 
Instance details

Defined in Foreign.C.Types

Real CSChar 
Instance details

Defined in Foreign.C.Types

Real CSUSeconds 
Instance details

Defined in Foreign.C.Types

Real CShort 
Instance details

Defined in Foreign.C.Types

Real CSigAtomic 
Instance details

Defined in Foreign.C.Types

Real CSize 
Instance details

Defined in Foreign.C.Types

Real CTime 
Instance details

Defined in Foreign.C.Types

Real CUChar 
Instance details

Defined in Foreign.C.Types

Real CUInt 
Instance details

Defined in Foreign.C.Types

Real CUIntMax 
Instance details

Defined in Foreign.C.Types

Real CUIntPtr 
Instance details

Defined in Foreign.C.Types

Real CULLong 
Instance details

Defined in Foreign.C.Types

Real CULong 
Instance details

Defined in Foreign.C.Types

Real CUSeconds 
Instance details

Defined in Foreign.C.Types

Real CUShort 
Instance details

Defined in Foreign.C.Types

Real CWchar 
Instance details

Defined in Foreign.C.Types

Real Int16

Since: base-2.1

Instance details

Defined in GHC.Int

Real Int32

Since: base-2.1

Instance details

Defined in GHC.Int

Real Int64

Since: base-2.1

Instance details

Defined in GHC.Int

Real Int8

Since: base-2.1

Instance details

Defined in GHC.Int

Real Word16

Since: base-2.1

Instance details

Defined in GHC.Word

Real Word32

Since: base-2.1

Instance details

Defined in GHC.Word

Real Word64

Since: base-2.1

Instance details

Defined in GHC.Word

Real Word8

Since: base-2.1

Instance details

Defined in GHC.Word

Real Integer

Since: base-2.0.1

Instance details

Defined in GHC.Real

Real Natural

Since: base-4.8.0.0

Instance details

Defined in GHC.Real

Real Int

Since: base-2.0.1

Instance details

Defined in GHC.Real

Real Word

Since: base-2.1

Instance details

Defined in GHC.Real

Real a => Real (Down a)

Since: base-4.14.0.0

Instance details

Defined in Data.Ord

Integral a => Real (Ratio a)

Since: base-2.0.1

Instance details

Defined in GHC.Real

Real a => Real (Const a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Methods

toRational :: Const a b -> Rational Source #

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

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.

In addition, toInteger should be total, and fromInteger should be a left inverse for it, i.e. fromInteger (toInteger i) = i.

Minimal complete definition

quotRem, toInteger

Methods

quot :: a -> a -> a infixl 7 Source #

integer division truncated toward zero

WARNING: This function is partial (because it throws when 0 is passed as the divisor) for all the integer types in base.

rem :: a -> a -> a infixl 7 Source #

integer remainder, satisfying

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

WARNING: This function is partial (because it throws when 0 is passed as the divisor) for all the integer types in base.

div :: a -> a -> a infixl 7 Source #

integer division truncated toward negative infinity

WARNING: This function is partial (because it throws when 0 is passed as the divisor) for all the integer types in base.

mod :: a -> a -> a infixl 7 Source #

integer modulus, satisfying

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

WARNING: This function is partial (because it throws when 0 is passed as the divisor) for all the integer types in base.

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

simultaneous quot and rem

WARNING: This function is partial (because it throws when 0 is passed as the divisor) for all the integer types in base.

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

simultaneous div and mod

WARNING: This function is partial (because it throws when 0 is passed as the divisor) for all the integer types in base.

toInteger :: a -> Integer Source #

conversion to Integer

Instances

Instances details
Integral CBool 
Instance details

Defined in Foreign.C.Types

Integral CChar 
Instance details

Defined in Foreign.C.Types

Integral CInt 
Instance details

Defined in Foreign.C.Types

Integral CIntMax 
Instance details

Defined in Foreign.C.Types

Integral CIntPtr 
Instance details

Defined in Foreign.C.Types

Integral CLLong 
Instance details

Defined in Foreign.C.Types

Integral CLong 
Instance details

Defined in Foreign.C.Types

Integral CPtrdiff 
Instance details

Defined in Foreign.C.Types

Integral CSChar 
Instance details

Defined in Foreign.C.Types

Integral CShort 
Instance details

Defined in Foreign.C.Types

Integral CSigAtomic 
Instance details

Defined in Foreign.C.Types

Integral CSize 
Instance details

Defined in Foreign.C.Types

Integral CUChar 
Instance details

Defined in Foreign.C.Types

Integral CUInt 
Instance details

Defined in Foreign.C.Types

Integral CUIntMax 
Instance details

Defined in Foreign.C.Types

Integral CUIntPtr 
Instance details

Defined in Foreign.C.Types

Integral CULLong 
Instance details

Defined in Foreign.C.Types

Integral CULong 
Instance details

Defined in Foreign.C.Types

Integral CUShort 
Instance details

Defined in Foreign.C.Types

Integral CWchar 
Instance details

Defined in Foreign.C.Types

Integral Int16

Since: base-2.1

Instance details

Defined in GHC.Int

Integral Int32

Since: base-2.1

Instance details

Defined in GHC.Int

Integral Int64

Since: base-2.1

Instance details

Defined in GHC.Int

Integral Int8

Since: base-2.1

Instance details

Defined in GHC.Int

Integral Word16

Since: base-2.1

Instance details

Defined in GHC.Word

Integral Word32

Since: base-2.1

Instance details

Defined in GHC.Word

Integral Word64

Since: base-2.1

Instance details

Defined in GHC.Word

Integral Word8

Since: base-2.1

Instance details

Defined in GHC.Word

Integral Integer

Since: base-2.0.1

Instance details

Defined in GHC.Real

Integral Natural

Since: base-4.8.0.0

Instance details

Defined in GHC.Real

Integral Int

Since: base-2.0.1

Instance details

Defined in GHC.Real

Methods

quot :: Int -> Int -> Int Source #

rem :: Int -> Int -> Int Source #

div :: Int -> Int -> Int Source #

mod :: Int -> Int -> Int Source #

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

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

toInteger :: Int -> Integer Source #

Integral Word

Since: base-2.1

Instance details

Defined in GHC.Real

Integral a => Integral (Const a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Methods

quot :: Const a b -> Const a b -> Const a b Source #

rem :: Const a b -> Const a b -> Const a b Source #

div :: Const a b -> Const a b -> Const a b Source #

mod :: Const a b -> Const a b -> Const a b Source #

quotRem :: Const a b -> Const a b -> (Const a b, Const a b) Source #

divMod :: Const a b -> Const a b -> (Const a b, Const a b) Source #

toInteger :: Const a b -> Integer Source #

class Num a => Fractional a where Source #

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
Totality of toRational
toRational is total
Coherence with toRational
if the type also implements Real, then fromRational is a left inverse for toRational, i.e. fromRational (toRational i) = i

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 Source #

Fractional division.

recip :: a -> a Source #

Reciprocal fraction.

fromRational :: Rational -> a Source #

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

Instances details
Fractional CDouble 
Instance details

Defined in Foreign.C.Types

Fractional CFloat 
Instance details

Defined in Foreign.C.Types

Fractional a => Fractional (Down a)

Since: base-4.14.0.0

Instance details

Defined in Data.Ord

Methods

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

recip :: Down a -> Down a Source #

fromRational :: Rational -> Down a Source #

Integral a => Fractional (Ratio a)

Since: base-2.0.1

Instance details

Defined in GHC.Real

Methods

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

recip :: Ratio a -> Ratio a Source #

fromRational :: Rational -> Ratio a Source #

Fractional a => Fractional (Const a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Methods

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

recip :: Const a b -> Const a b Source #

fromRational :: Rational -> Const a b Source #

class Fractional a => Floating a where Source #

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 Source #

exp :: a -> a Source #

log :: a -> a Source #

sqrt :: a -> a Source #

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

logBase :: a -> a -> a Source #

sin :: a -> a Source #

cos :: a -> a Source #

tan :: a -> a Source #

asin :: a -> a Source #

acos :: a -> a Source #

atan :: a -> a Source #

sinh :: a -> a Source #

cosh :: a -> a Source #

tanh :: a -> a Source #

asinh :: a -> a Source #

acosh :: a -> a Source #

atanh :: a -> a Source #

Instances

Instances details
Floating CDouble 
Instance details

Defined in Foreign.C.Types

Floating CFloat 
Instance details

Defined in Foreign.C.Types

Floating Double

Since: base-2.1

Instance details

Defined in GHC.Float

Floating Float

Since: base-2.1

Instance details

Defined in GHC.Float

Floating a => Floating (Down a)

Since: base-4.14.0.0

Instance details

Defined in Data.Ord

Methods

pi :: Down a Source #

exp :: Down a -> Down a Source #

log :: Down a -> Down a Source #

sqrt :: Down a -> Down a Source #

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

logBase :: Down a -> Down a -> Down a Source #

sin :: Down a -> Down a Source #

cos :: Down a -> Down a Source #

tan :: Down a -> Down a Source #

asin :: Down a -> Down a Source #

acos :: Down a -> Down a Source #

atan :: Down a -> Down a Source #

sinh :: Down a -> Down a Source #

cosh :: Down a -> Down a Source #

tanh :: Down a -> Down a Source #

asinh :: Down a -> Down a Source #

acosh :: Down a -> Down a Source #

atanh :: Down a -> Down a Source #

log1p :: Down a -> Down a Source #

expm1 :: Down a -> Down a Source #

log1pexp :: Down a -> Down a Source #

log1mexp :: Down a -> Down a Source #

Floating a => Floating (Const a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Methods

pi :: Const a b Source #

exp :: Const a b -> Const a b Source #

log :: Const a b -> Const a b Source #

sqrt :: Const a b -> Const a b Source #

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

logBase :: Const a b -> Const a b -> Const a b Source #

sin :: Const a b -> Const a b Source #

cos :: Const a b -> Const a b Source #

tan :: Const a b -> Const a b Source #

asin :: Const a b -> Const a b Source #

acos :: Const a b -> Const a b Source #

atan :: Const a b -> Const a b Source #

sinh :: Const a b -> Const a b Source #

cosh :: Const a b -> Const a b Source #

tanh :: Const a b -> Const a b Source #

asinh :: Const a b -> Const a b Source #

acosh :: Const a b -> Const a b Source #

atanh :: Const a b -> Const a b Source #

log1p :: Const a b -> Const a b Source #

expm1 :: Const a b -> Const a b Source #

log1pexp :: Const a b -> Const a b Source #

log1mexp :: Const a b -> Const a b Source #

class (Real a, Fractional a) => RealFrac a where Source #

Extracting components of fractions.

Minimal complete definition

properFraction

Methods

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

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 Source #

truncate x returns the integer nearest x between zero and x

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

round x returns the nearest integer to x; the even integer if x is equidistant between two integers

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

ceiling x returns the least integer not less than x

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

floor x returns the greatest integer not greater than x

Instances

Instances details
RealFrac CDouble 
Instance details

Defined in Foreign.C.Types

RealFrac CFloat 
Instance details

Defined in Foreign.C.Types

RealFrac a => RealFrac (Down a)

Since: base-4.14.0.0

Instance details

Defined in Data.Ord

Methods

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

truncate :: Integral b => Down a -> b Source #

round :: Integral b => Down a -> b Source #

ceiling :: Integral b => Down a -> b Source #

floor :: Integral b => Down a -> b Source #

Integral a => RealFrac (Ratio a)

Since: base-2.0.1

Instance details

Defined in GHC.Real

Methods

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

truncate :: Integral b => Ratio a -> b Source #

round :: Integral b => Ratio a -> b Source #

ceiling :: Integral b => Ratio a -> b Source #

floor :: Integral b => Ratio a -> b Source #

RealFrac a => RealFrac (Const a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Methods

properFraction :: Integral b0 => Const a b -> (b0, Const a b) Source #

truncate :: Integral b0 => Const a b -> b0 Source #

round :: Integral b0 => Const a b -> b0 Source #

ceiling :: Integral b0 => Const a b -> b0 Source #

floor :: Integral b0 => Const a b -> b0 Source #

class (RealFrac a, Floating a) => RealFloat a where Source #

Efficient, machine-independent access to the components of a floating-point number.

Methods

floatRadix :: a -> Integer Source #

a constant function, returning the radix of the representation (often 2)

floatDigits :: a -> Int Source #

a constant function, returning the number of digits of floatRadix in the significand

floatRange :: a -> (Int, Int) Source #

a constant function, returning the lowest and highest values the exponent may assume

decodeFloat :: a -> (Integer, Int) Source #

The function decodeFloat applied to a real floating-point number returns the significand expressed as an Integer and an appropriately scaled exponent (an Int). If decodeFloat x yields (m,n), then x is equal in value to m*b^^n, where b is the floating-point radix, and furthermore, either m and n are both zero or else b^(d-1) <= abs m < b^d, where d is the value of floatDigits x. In particular, decodeFloat 0 = (0,0). If the type contains a negative zero, also decodeFloat (-0.0) = (0,0). The result of decodeFloat x is unspecified if either of isNaN x or isInfinite x is True.

encodeFloat :: Integer -> Int -> a Source #

encodeFloat performs the inverse of decodeFloat in the sense that for finite x with the exception of -0.0, uncurry encodeFloat (decodeFloat x) = x. encodeFloat m n is one of the two closest representable floating-point numbers to m*b^^n (or ±Infinity if overflow occurs); usually the closer, but if m contains too many bits, the result may be rounded in the wrong direction.

exponent :: a -> Int Source #

exponent corresponds to the second component of decodeFloat. exponent 0 = 0 and for finite nonzero x, exponent x = snd (decodeFloat x) + floatDigits x. If x is a finite floating-point number, it is equal in value to significand x * b ^^ exponent x, where b is the floating-point radix. The behaviour is unspecified on infinite or NaN values.

significand :: a -> a Source #

The first component of decodeFloat, scaled to lie in the open interval (-1,1), either 0.0 or of absolute value >= 1/b, where b is the floating-point radix. The behaviour is unspecified on infinite or NaN values.

scaleFloat :: Int -> a -> a Source #

multiplies a floating-point number by an integer power of the radix

isNaN :: a -> Bool Source #

True if the argument is an IEEE "not-a-number" (NaN) value

isInfinite :: a -> Bool Source #

True if the argument is an IEEE infinity or negative infinity

isDenormalized :: a -> Bool Source #

True if the argument is too small to be represented in normalized format

isNegativeZero :: a -> Bool Source #

True if the argument is an IEEE negative zero

isIEEE :: a -> Bool Source #

True if the argument is an IEEE floating point number

atan2 :: a -> a -> a Source #

a version of arctangent taking two real floating-point arguments. For real floating x and y, atan2 y x computes the angle (from the positive x-axis) of the vector from the origin to the point (x,y). atan2 y x returns a value in the range [-pi, pi]. It follows the Common Lisp semantics for the origin when signed zeroes are supported. atan2 y 1, with y in a type that is RealFloat, should return the same value as atan y. A default definition of atan2 is provided, but implementors can provide a more accurate implementation.

Instances

Instances details
RealFloat CDouble 
Instance details

Defined in Foreign.C.Types

RealFloat CFloat 
Instance details

Defined in Foreign.C.Types

RealFloat Double

Since: base-2.1

Instance details

Defined in GHC.Float

RealFloat Float

Since: base-2.1

Instance details

Defined in GHC.Float

RealFloat a => RealFloat (Down a)

Since: base-4.14.0.0

Instance details

Defined in Data.Ord

RealFloat a => RealFloat (Const a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Data types

data Maybe a Source #

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

Instances details
MonadFail Maybe

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.Fail

Methods

fail :: String -> Maybe a Source #

Foldable Maybe

Since: base-2.1

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Maybe m -> m Source #

foldMap :: Monoid m => (a -> m) -> Maybe a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Maybe a -> m Source #

foldr :: (a -> b -> b) -> b -> Maybe a -> b Source #

foldr' :: (a -> b -> b) -> b -> Maybe a -> b Source #

foldl :: (b -> a -> b) -> b -> Maybe a -> b Source #

foldl' :: (b -> a -> b) -> b -> Maybe a -> b Source #

foldr1 :: (a -> a -> a) -> Maybe a -> a Source #

foldl1 :: (a -> a -> a) -> Maybe a -> a Source #

toList :: Maybe a -> [a] Source #

null :: Maybe a -> Bool Source #

length :: Maybe a -> Int Source #

elem :: Eq a => a -> Maybe a -> Bool Source #

maximum :: Ord a => Maybe a -> a Source #

minimum :: Ord a => Maybe a -> a Source #

sum :: Num a => Maybe a -> a Source #

product :: Num a => Maybe a -> a Source #

Traversable Maybe

Since: base-2.1

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => Maybe (f a) -> f (Maybe a) Source #

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

sequence :: Monad m => Maybe (m a) -> m (Maybe a) Source #

Alternative Maybe

Picks the leftmost Just value, or, alternatively, Nothing.

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

empty :: Maybe a Source #

(<|>) :: Maybe a -> Maybe a -> Maybe a Source #

some :: Maybe a -> Maybe [a] Source #

many :: Maybe a -> Maybe [a] Source #

Applicative Maybe

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

pure :: a -> Maybe a Source #

(<*>) :: Maybe (a -> b) -> Maybe a -> Maybe b Source #

liftA2 :: (a -> b -> c) -> Maybe a -> Maybe b -> Maybe c Source #

(*>) :: Maybe a -> Maybe b -> Maybe b Source #

(<*) :: Maybe a -> Maybe b -> Maybe a Source #

Functor Maybe

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

fmap :: (a -> b) -> Maybe a -> Maybe b Source #

(<$) :: a -> Maybe b -> Maybe a Source #

Monad Maybe

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

(>>=) :: Maybe a -> (a -> Maybe b) -> Maybe b Source #

(>>) :: Maybe a -> Maybe b -> Maybe b Source #

return :: a -> Maybe a Source #

MonadPlus Maybe

Picks the leftmost Just value, or, alternatively, Nothing.

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mzero :: Maybe a Source #

mplus :: Maybe a -> Maybe a -> Maybe a Source #

Hashable1 Maybe 
Instance details

Defined in Data.Hashable.Class

Methods

liftHashWithSalt :: (Int -> a -> Int) -> Int -> Maybe a -> Int Source #

Generic1 Maybe 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 Maybe :: k -> Type Source #

Methods

from1 :: forall (a :: k). Maybe a -> Rep1 Maybe a Source #

to1 :: forall (a :: k). Rep1 Maybe a -> Maybe a Source #

Lift a => Lift (Maybe a :: Type) 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Maybe a -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => Maybe a -> Code m (Maybe a) Source #

Semigroup a => Monoid (Maybe a)

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

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

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mempty :: Maybe a Source #

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

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

Semigroup a => Semigroup (Maybe a)

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

(<>) :: Maybe a -> Maybe a -> Maybe a Source #

sconcat :: NonEmpty (Maybe a) -> Maybe a Source #

stimes :: Integral b => b -> Maybe a -> Maybe a Source #

Generic (Maybe a) 
Instance details

Defined in GHC.Generics

Associated Types

type Rep (Maybe a) :: Type -> Type Source #

Methods

from :: Maybe a -> Rep (Maybe a) x Source #

to :: Rep (Maybe a) x -> Maybe a Source #

SingKind a => SingKind (Maybe a)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Associated Types

type DemoteRep (Maybe a)

Methods

fromSing :: forall (a0 :: Maybe a). Sing a0 -> DemoteRep (Maybe a)

Read a => Read (Maybe a)

Since: base-2.1

Instance details

Defined in GHC.Read

Show a => Show (Maybe a)

Since: base-2.1

Instance details

Defined in GHC.Show

Eq a => Eq (Maybe a)

Since: base-2.1

Instance details

Defined in GHC.Maybe

Methods

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

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

Ord a => Ord (Maybe a)

Since: base-2.1

Instance details

Defined in GHC.Maybe

Methods

compare :: Maybe a -> Maybe a -> Ordering Source #

(<) :: Maybe a -> Maybe a -> Bool Source #

(<=) :: Maybe a -> Maybe a -> Bool Source #

(>) :: Maybe a -> Maybe a -> Bool Source #

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

max :: Maybe a -> Maybe a -> Maybe a Source #

min :: Maybe a -> Maybe a -> Maybe a Source #

Hashable a => Hashable (Maybe a) 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Maybe a -> Int Source #

hash :: Maybe a -> Int Source #

SingI ('Nothing :: Maybe a)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

sing :: Sing 'Nothing

SingI a2 => SingI ('Just a2 :: Maybe a1)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

sing :: Sing ('Just a2)

type Rep1 Maybe

Since: base-4.6.0.0

Instance details

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))
type DemoteRep (Maybe a) 
Instance details

Defined in GHC.Generics

type DemoteRep (Maybe a) = Maybe (DemoteRep a)
type Rep (Maybe a)

Since: base-4.6.0.0

Instance details

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)))
data Sing (b :: Maybe a) 
Instance details

Defined in GHC.Generics

data Sing (b :: Maybe a) where

data Ordering Source #

Constructors

LT 
EQ 
GT 

Instances

Instances details
Monoid Ordering

Since: base-2.1

Instance details

Defined in GHC.Base

Semigroup Ordering

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Bounded Ordering

Since: base-2.1

Instance details

Defined in GHC.Enum

Enum Ordering

Since: base-2.1

Instance details

Defined in GHC.Enum

Generic Ordering 
Instance details

Defined in GHC.Generics

Associated Types

type Rep Ordering :: Type -> Type Source #

Read Ordering

Since: base-2.1

Instance details

Defined in GHC.Read

Show Ordering

Since: base-2.1

Instance details

Defined in GHC.Show

Eq Ordering 
Instance details

Defined in GHC.Classes

Ord Ordering 
Instance details

Defined in GHC.Classes

Hashable Ordering 
Instance details

Defined in Data.Hashable.Class

type Rep Ordering

Since: base-4.6.0.0

Instance details

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 Bool Source #

Constructors

False 
True 

Instances

Instances details
Storable Bool

Since: base-2.1

Instance details

Defined in Foreign.Storable

Bounded Bool

Since: base-2.1

Instance details

Defined in GHC.Enum

Enum Bool

Since: base-2.1

Instance details

Defined in GHC.Enum

Generic Bool 
Instance details

Defined in GHC.Generics

Associated Types

type Rep Bool :: Type -> Type Source #

Methods

from :: Bool -> Rep Bool x Source #

to :: Rep Bool x -> Bool Source #

SingKind Bool

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Associated Types

type DemoteRep Bool

Methods

fromSing :: forall (a :: Bool). Sing a -> DemoteRep Bool

Read Bool

Since: base-2.1

Instance details

Defined in GHC.Read

Show Bool

Since: base-2.1

Instance details

Defined in GHC.Show

Eq Bool 
Instance details

Defined in GHC.Classes

Methods

(==) :: Bool -> Bool -> Bool Source #

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

Ord Bool 
Instance details

Defined in GHC.Classes

Hashable Bool 
Instance details

Defined in Data.Hashable.Class

Unbox Bool 
Instance details

Defined in Data.Vector.Unboxed.Base

SingI 'False

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

sing :: Sing 'False

SingI 'True

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

sing :: Sing 'True

Lift Bool 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Bool -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => Bool -> Code m Bool Source #

Vector Vector Bool 
Instance details

Defined in Data.Vector.Unboxed.Base

MVector MVector Bool 
Instance details

Defined in Data.Vector.Unboxed.Base

type DemoteRep Bool 
Instance details

Defined in GHC.Generics

type DemoteRep Bool = Bool
type Rep Bool

Since: base-4.6.0.0

Instance details

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))
data Sing (a :: Bool) 
Instance details

Defined in GHC.Generics

data Sing (a :: Bool) where
newtype Vector Bool 
Instance details

Defined in Data.Vector.Unboxed.Base

newtype MVector s Bool 
Instance details

Defined in Data.Vector.Unboxed.Base

newtype MVector s Bool = MV_Bool (MVector s Word8)

data Char Source #

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

Instances details
Storable Char

Since: base-2.1

Instance details

Defined in Foreign.Storable

Bounded Char

Since: base-2.1

Instance details

Defined in GHC.Enum

Enum Char

Since: base-2.1

Instance details

Defined in GHC.Enum

Read Char

Since: base-2.1

Instance details

Defined in GHC.Read

Show Char

Since: base-2.1

Instance details

Defined in GHC.Show

Eq Char 
Instance details

Defined in GHC.Classes

Methods

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

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

Ord Char 
Instance details

Defined in GHC.Classes

Hashable Char 
Instance details

Defined in Data.Hashable.Class

Unbox Char 
Instance details

Defined in Data.Vector.Unboxed.Base

Lift Char 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Char -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => Char -> Code m Char Source #

Vector Vector Char 
Instance details

Defined in Data.Vector.Unboxed.Base

MVector MVector Char 
Instance details

Defined in Data.Vector.Unboxed.Base

Generic1 (URec Char :: k -> Type) 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (URec Char) :: k -> Type Source #

Methods

from1 :: forall (a :: k0). URec Char a -> Rep1 (URec Char) a Source #

to1 :: forall (a :: k0). Rep1 (URec Char) a -> URec Char a Source #

Foldable (UChar :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UChar m -> m Source #

foldMap :: Monoid m => (a -> m) -> UChar a -> m Source #

foldMap' :: Monoid m => (a -> m) -> UChar a -> m Source #

foldr :: (a -> b -> b) -> b -> UChar a -> b Source #

foldr' :: (a -> b -> b) -> b -> UChar a -> b Source #

foldl :: (b -> a -> b) -> b -> UChar a -> b Source #

foldl' :: (b -> a -> b) -> b -> UChar a -> b Source #

foldr1 :: (a -> a -> a) -> UChar a -> a Source #

foldl1 :: (a -> a -> a) -> UChar a -> a Source #

toList :: UChar a -> [a] Source #

null :: UChar a -> Bool Source #

length :: UChar a -> Int Source #

elem :: Eq a => a -> UChar a -> Bool Source #

maximum :: Ord a => UChar a -> a Source #

minimum :: Ord a => UChar a -> a Source #

sum :: Num a => UChar a -> a Source #

product :: Num a => UChar a -> a Source #

Traversable (UChar :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => UChar (f a) -> f (UChar a) Source #

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

sequence :: Monad m => UChar (m a) -> m (UChar a) Source #

Functor (URec Char :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Char a -> URec Char b Source #

(<$) :: a -> URec Char b -> URec Char a Source #

Generic (URec Char p) 
Instance details

Defined in GHC.Generics

Associated Types

type Rep (URec Char p) :: Type -> Type Source #

Methods

from :: URec Char p -> Rep (URec Char p) x Source #

to :: Rep (URec Char p) x -> URec Char p Source #

Show (URec Char p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Eq (URec Char p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

Ord (URec Char p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

compare :: URec Char p -> URec Char p -> Ordering Source #

(<) :: URec Char p -> URec Char p -> Bool Source #

(<=) :: URec Char p -> URec Char p -> Bool Source #

(>) :: URec Char p -> URec Char p -> Bool Source #

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

max :: URec Char p -> URec Char p -> URec Char p Source #

min :: URec Char p -> URec Char p -> URec Char p Source #

newtype Vector Char 
Instance details

Defined in Data.Vector.Unboxed.Base

data URec Char (p :: k)

Used for marking occurrences of Char#

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

data URec Char (p :: k) = UChar {}
newtype MVector s Char 
Instance details

Defined in Data.Vector.Unboxed.Base

newtype MVector s Char = MV_Char (MVector s Char)
type Rep1 (URec Char :: k -> Type)

Since: base-4.9.0.0

Instance details

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)

Since: base-4.9.0.0

Instance details

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 IO a Source #

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

Instances details
MonadFail IO

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.Fail

Methods

fail :: String -> IO a Source #

MonadIO IO

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.IO.Class

Methods

liftIO :: IO a -> IO a Source #

Alternative IO

Takes the first non-throwing IO action's result. empty throws an exception.

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

empty :: IO a Source #

(<|>) :: IO a -> IO a -> IO a Source #

some :: IO a -> IO [a] Source #

many :: IO a -> IO [a] Source #

Applicative IO

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

pure :: a -> IO a Source #

(<*>) :: IO (a -> b) -> IO a -> IO b Source #

liftA2 :: (a -> b -> c) -> IO a -> IO b -> IO c Source #

(*>) :: IO a -> IO b -> IO b Source #

(<*) :: IO a -> IO b -> IO a Source #

Functor IO

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

fmap :: (a -> b) -> IO a -> IO b Source #

(<$) :: a -> IO b -> IO a Source #

Monad IO

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

(>>=) :: IO a -> (a -> IO b) -> IO b Source #

(>>) :: IO a -> IO b -> IO b Source #

return :: a -> IO a Source #

MonadPlus IO

Takes the first non-throwing IO action's result. mzero throws an exception.

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

mzero :: IO a Source #

mplus :: IO a -> IO a -> IO a Source #

PrimBase IO 
Instance details

Defined in Control.Monad.Primitive

Methods

internal :: IO a -> State# (PrimState IO) -> (# State# (PrimState IO), a #)

PrimMonad IO 
Instance details

Defined in Control.Monad.Primitive

Associated Types

type PrimState IO #

Methods

primitive :: (State# (PrimState IO) -> (# State# (PrimState IO), a #)) -> IO a

Quasi IO 
Instance details

Defined in Language.Haskell.TH.Syntax

Quote IO 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

newName :: String -> IO Name Source #

Monoid a => Monoid (IO a)

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

mempty :: IO a Source #

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

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

Semigroup a => Semigroup (IO a)

Since: base-4.10.0.0

Instance details

Defined in GHC.Base

Methods

(<>) :: IO a -> IO a -> IO a Source #

sconcat :: NonEmpty (IO a) -> IO a Source #

stimes :: Integral b => b -> IO a -> IO a Source #

type PrimState IO 
Instance details

Defined in Control.Monad.Primitive

data Either a b Source #

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

Expand

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

Instances details
Hashable2 Either 
Instance details

Defined in Data.Hashable.Class

Methods

liftHashWithSalt2 :: (Int -> a -> Int) -> (Int -> b -> Int) -> Int -> Either a b -> Int Source #

Generic1 (Either a :: Type -> Type) 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (Either a) :: k -> Type Source #

Methods

from1 :: forall (a0 :: k). Either a a0 -> Rep1 (Either a) a0 Source #

to1 :: forall (a0 :: k). Rep1 (Either a) a0 -> Either a a0 Source #

(Lift a, Lift b) => Lift (Either a b :: Type) 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Either a b -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => Either a b -> Code m (Either a b) Source #

Foldable (Either a)

Since: base-4.7.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Either a m -> m Source #

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

foldMap' :: Monoid m => (a0 -> m) -> Either a a0 -> m Source #

foldr :: (a0 -> b -> b) -> b -> Either a a0 -> b Source #

foldr' :: (a0 -> b -> b) -> b -> Either a a0 -> b Source #

foldl :: (b -> a0 -> b) -> b -> Either a a0 -> b Source #

foldl' :: (b -> a0 -> b) -> b -> Either a a0 -> b Source #

foldr1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 Source #

foldl1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 Source #

toList :: Either a a0 -> [a0] Source #

null :: Either a a0 -> Bool Source #

length :: Either a a0 -> Int Source #

elem :: Eq a0 => a0 -> Either a a0 -> Bool Source #

maximum :: Ord a0 => Either a a0 -> a0 Source #

minimum :: Ord a0 => Either a a0 -> a0 Source #

sum :: Num a0 => Either a a0 -> a0 Source #

product :: Num a0 => Either a a0 -> a0 Source #

Traversable (Either a)

Since: base-4.7.0.0

Instance details

Defined in Data.Traversable

Methods

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

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

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

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

Applicative (Either e)

Since: base-3.0

Instance details

Defined in Data.Either

Methods

pure :: a -> Either e a Source #

(<*>) :: Either e (a -> b) -> Either e a -> Either e b Source #

liftA2 :: (a -> b -> c) -> Either e a -> Either e b -> Either e c Source #

(*>) :: Either e a -> Either e b -> Either e b Source #

(<*) :: Either e a -> Either e b -> Either e a Source #

Functor (Either a)

Since: base-3.0

Instance details

Defined in Data.Either

Methods

fmap :: (a0 -> b) -> Either a a0 -> Either a b Source #

(<$) :: a0 -> Either a b -> Either a a0 Source #

Monad (Either e)

Since: base-4.4.0.0

Instance details

Defined in Data.Either

Methods

(>>=) :: Either e a -> (a -> Either e b) -> Either e b Source #

(>>) :: Either e a -> Either e b -> Either e b Source #

return :: a -> Either e a Source #

Hashable a => Hashable1 (Either a) 
Instance details

Defined in Data.Hashable.Class

Methods

liftHashWithSalt :: (Int -> a0 -> Int) -> Int -> Either a a0 -> Int Source #

Semigroup (Either a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Either

Methods

(<>) :: Either a b -> Either a b -> Either a b Source #

sconcat :: NonEmpty (Either a b) -> Either a b Source #

stimes :: Integral b0 => b0 -> Either a b -> Either a b Source #

Generic (Either a b) 
Instance details

Defined in GHC.Generics

Associated Types

type Rep (Either a b) :: Type -> Type Source #

Methods

from :: Either a b -> Rep (Either a b) x Source #

to :: Rep (Either a b) x -> Either a b Source #

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

Since: base-3.0

Instance details

Defined in Data.Either

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

Since: base-3.0

Instance details

Defined in Data.Either

Methods

showsPrec :: Int -> Either a b -> ShowS Source #

show :: Either a b -> String Source #

showList :: [Either a b] -> ShowS Source #

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

Since: base-2.1

Instance details

Defined in Data.Either

Methods

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

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

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

Since: base-2.1

Instance details

Defined in Data.Either

Methods

compare :: Either a b -> Either a b -> Ordering Source #

(<) :: Either a b -> Either a b -> Bool Source #

(<=) :: Either a b -> Either a b -> Bool Source #

(>) :: Either a b -> Either a b -> Bool Source #

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

max :: Either a b -> Either a b -> Either a b Source #

min :: Either a b -> Either a b -> Either a b Source #

(Hashable a, Hashable b) => Hashable (Either a b) 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Either a b -> Int Source #

hash :: Either a b -> Int Source #

type Rep1 (Either a :: Type -> Type)

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

type Rep (Either a b)

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Re-exports

Packed reps

data ByteString Source #

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

Instances details
Data ByteString 
Instance details

Defined in Data.ByteString.Internal.Type

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> ByteString -> c ByteString Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c ByteString Source #

toConstr :: ByteString -> Constr Source #

dataTypeOf :: ByteString -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c ByteString) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ByteString) Source #

gmapT :: (forall b. Data b => b -> b) -> ByteString -> ByteString Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> ByteString -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> ByteString -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> ByteString -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> ByteString -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> ByteString -> m ByteString Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> ByteString -> m ByteString Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> ByteString -> m ByteString Source #

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�

Instance details

Defined in Data.ByteString.Internal.Type

Monoid ByteString 
Instance details

Defined in Data.ByteString.Internal.Type

Semigroup ByteString 
Instance details

Defined in Data.ByteString.Internal.Type

IsList ByteString

Since: bytestring-0.10.12.0

Instance details

Defined in Data.ByteString.Internal.Type

Associated Types

type Item ByteString Source #

Read ByteString 
Instance details

Defined in Data.ByteString.Internal.Type

Show ByteString 
Instance details

Defined in Data.ByteString.Internal.Type

NFData ByteString 
Instance details

Defined in Data.ByteString.Internal.Type

Methods

rnf :: ByteString -> () Source #

Eq ByteString 
Instance details

Defined in Data.ByteString.Internal.Type

Ord ByteString 
Instance details

Defined in Data.ByteString.Internal.Type

Hashable ByteString 
Instance details

Defined in Data.Hashable.Class

Lift ByteString

Since: bytestring-0.11.2.0

Instance details

Defined in Data.ByteString.Internal.Type

Methods

lift :: Quote m => ByteString -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => ByteString -> Code m ByteString Source #

type Item ByteString 
Instance details

Defined in Data.ByteString.Internal.Type

data Text Source #

A space efficient, packed, unboxed Unicode text type.

Instances

Instances details
Hashable Text 
Instance details

Defined in Data.Hashable.Class

type Item Text 
Instance details

Defined in Data.Text

type Item Text = Char

Containers

data Map k a Source #

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

Instances details
Bifoldable Map

Since: containers-0.6.3.1

Instance details

Defined in Data.Map.Internal

Methods

bifold :: Monoid m => Map m m -> m Source #

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

bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> Map a b -> c Source #

bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> Map a b -> c Source #

Eq2 Map

Since: containers-0.5.9

Instance details

Defined in Data.Map.Internal

Methods

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

Ord2 Map

Since: containers-0.5.9

Instance details

Defined in Data.Map.Internal

Methods

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

Show2 Map

Since: containers-0.5.9

Instance details

Defined in Data.Map.Internal

Methods

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

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

Hashable2 Map

Since: hashable-1.3.4.0

Instance details

Defined in Data.Hashable.Class

Methods

liftHashWithSalt2 :: (Int -> a -> Int) -> (Int -> b -> Int) -> Int -> Map a b -> Int Source #

(Lift k, Lift a) => Lift (Map k a :: Type)

Since: containers-0.6.6

Instance details

Defined in Data.Map.Internal

Methods

lift :: Quote m => Map k a -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => Map k a -> Code m (Map k a) Source #

Foldable (Map k)

Folds in order of increasing key.

Instance details

Defined in Data.Map.Internal

Methods

fold :: Monoid m => Map k m -> m Source #

foldMap :: Monoid m => (a -> m) -> Map k a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Map k a -> m Source #

foldr :: (a -> b -> b) -> b -> Map k a -> b Source #

foldr' :: (a -> b -> b) -> b -> Map k a -> b Source #

foldl :: (b -> a -> b) -> b -> Map k a -> b Source #

foldl' :: (b -> a -> b) -> b -> Map k a -> b Source #

foldr1 :: (a -> a -> a) -> Map k a -> a Source #

foldl1 :: (a -> a -> a) -> Map k a -> a Source #

toList :: Map k a -> [a] Source #

null :: Map k a -> Bool Source #

length :: Map k a -> Int Source #

elem :: Eq a => a -> Map k a -> Bool Source #

maximum :: Ord a => Map k a -> a Source #

minimum :: Ord a => Map k a -> a Source #

sum :: Num a => Map k a -> a Source #

product :: Num a => Map k a -> a Source #

Eq k => Eq1 (Map k)

Since: containers-0.5.9

Instance details

Defined in Data.Map.Internal

Methods

liftEq :: (a -> b -> Bool) -> Map k a -> Map k b -> Bool Source #

Ord k => Ord1 (Map k)

Since: containers-0.5.9

Instance details

Defined in Data.Map.Internal

Methods

liftCompare :: (a -> b -> Ordering) -> Map k a -> Map k b -> Ordering Source #

(Ord k, Read k) => Read1 (Map k)

Since: containers-0.5.9

Instance details

Defined in Data.Map.Internal

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Map k a) Source #

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Map k a] Source #

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Map k a) Source #

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Map k a] Source #

Show k => Show1 (Map k)

Since: containers-0.5.9

Instance details

Defined in Data.Map.Internal

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Map k a -> ShowS Source #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Map k a] -> ShowS Source #

Traversable (Map k)

Traverses in order of increasing key.

Instance details

Defined in Data.Map.Internal

Methods

traverse :: Applicative f => (a -> f b) -> Map k a -> f (Map k b) Source #

sequenceA :: Applicative f => Map k (f a) -> f (Map k a) Source #

mapM :: Monad m => (a -> m b) -> Map k a -> m (Map k b) Source #

sequence :: Monad m => Map k (m a) -> m (Map k a) Source #

Functor (Map k) 
Instance details

Defined in Data.Map.Internal

Methods

fmap :: (a -> b) -> Map k a -> Map k b Source #

(<$) :: a -> Map k b -> Map k a Source #

Hashable k => Hashable1 (Map k)

Since: hashable-1.3.4.0

Instance details

Defined in Data.Hashable.Class

Methods

liftHashWithSalt :: (Int -> a -> Int) -> Int -> Map k a -> Int Source #

(Data k, Data a, Ord k) => Data (Map k a) 
Instance details

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) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Map k a) Source #

toConstr :: Map k a -> Constr Source #

dataTypeOf :: Map k a -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Map k a)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Map k a)) Source #

gmapT :: (forall b. Data b => b -> b) -> Map k a -> Map k a Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Map k a -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Map k a -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Map k a -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Map k a -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Map k a -> m (Map k a) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Map k a -> m (Map k a) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Map k a -> m (Map k a) Source #

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

Defined in Data.Map.Internal

Methods

mempty :: Map k v Source #

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

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

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

Defined in Data.Map.Internal

Methods

(<>) :: Map k v -> Map k v -> Map k v Source #

sconcat :: NonEmpty (Map k v) -> Map k v Source #

stimes :: Integral b => b -> Map k v -> Map k v Source #

Ord k => IsList (Map k v)

Since: containers-0.5.6.2

Instance details

Defined in Data.Map.Internal

Associated Types

type Item (Map k v) Source #

Methods

fromList :: [Item (Map k v)] -> Map k v Source #

fromListN :: Int -> [Item (Map k v)] -> Map k v Source #

toList :: Map k v -> [Item (Map k v)] Source #

(Ord k, Read k, Read e) => Read (Map k e) 
Instance details

Defined in Data.Map.Internal

(Show k, Show a) => Show (Map k a) 
Instance details

Defined in Data.Map.Internal

Methods

showsPrec :: Int -> Map k a -> ShowS Source #

show :: Map k a -> String Source #

showList :: [Map k a] -> ShowS Source #

(NFData k, NFData a) => NFData (Map k a) 
Instance details

Defined in Data.Map.Internal

Methods

rnf :: Map k a -> () Source #

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

Defined in Data.Map.Internal

Methods

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

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

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

Defined in Data.Map.Internal

Methods

compare :: Map k v -> Map k v -> Ordering Source #

(<) :: Map k v -> Map k v -> Bool Source #

(<=) :: Map k v -> Map k v -> Bool Source #

(>) :: Map k v -> Map k v -> Bool Source #

(>=) :: Map k v -> Map k v -> Bool Source #

max :: Map k v -> Map k v -> Map k v Source #

min :: Map k v -> Map k v -> Map k v Source #

(Hashable k, Hashable v) => Hashable (Map k v)

Since: hashable-1.3.4.0

Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Map k v -> Int Source #

hash :: Map k v -> Int Source #

type Item (Map k v) 
Instance details

Defined in Data.Map.Internal

type Item (Map k v) = (k, v)

data HashMap k v Source #

A map from keys to values. A map cannot contain duplicate keys; each key can map to at most one value.

Instances

Instances details
Bifoldable HashMap

Since: unordered-containers-0.2.11

Instance details

Defined in Data.HashMap.Internal

Methods

bifold :: Monoid m => HashMap m m -> m Source #

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

bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> HashMap a b -> c Source #

bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> HashMap a b -> c Source #

Eq2 HashMap 
Instance details

Defined in Data.HashMap.Internal

Methods

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

Ord2 HashMap 
Instance details

Defined in Data.HashMap.Internal

Methods

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

Show2 HashMap 
Instance details

Defined in Data.HashMap.Internal

Methods

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

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

NFData2 HashMap

Since: unordered-containers-0.2.14.0

Instance details

Defined in Data.HashMap.Internal

Methods

liftRnf2 :: (a -> ()) -> (b -> ()) -> HashMap a b -> () Source #

Hashable2 HashMap 
Instance details

Defined in Data.HashMap.Internal

Methods

liftHashWithSalt2 :: (Int -> a -> Int) -> (Int -> b -> Int) -> Int -> HashMap a b -> Int Source #

(Lift k, Lift v) => Lift (HashMap k v :: Type)

Since: unordered-containers-0.2.17.0

Instance details

Defined in Data.HashMap.Internal

Methods

lift :: Quote m => HashMap k v -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => HashMap k v -> Code m (HashMap k v) Source #

Foldable (HashMap k) 
Instance details

Defined in Data.HashMap.Internal

Methods

fold :: Monoid m => HashMap k m -> m Source #

foldMap :: Monoid m => (a -> m) -> HashMap k a -> m Source #

foldMap' :: Monoid m => (a -> m) -> HashMap k a -> m Source #

foldr :: (a -> b -> b) -> b -> HashMap k a -> b Source #

foldr' :: (a -> b -> b) -> b -> HashMap k a -> b Source #

foldl :: (b -> a -> b) -> b -> HashMap k a -> b Source #

foldl' :: (b -> a -> b) -> b -> HashMap k a -> b Source #

foldr1 :: (a -> a -> a) -> HashMap k a -> a Source #

foldl1 :: (a -> a -> a) -> HashMap k a -> a Source #

toList :: HashMap k a -> [a] Source #

null :: HashMap k a -> Bool Source #

length :: HashMap k a -> Int Source #

elem :: Eq a => a -> HashMap k a -> Bool Source #

maximum :: Ord a => HashMap k a -> a Source #

minimum :: Ord a => HashMap k a -> a Source #

sum :: Num a => HashMap k a -> a Source #

product :: Num a => HashMap k a -> a Source #

Eq k => Eq1 (HashMap k) 
Instance details

Defined in Data.HashMap.Internal

Methods

liftEq :: (a -> b -> Bool) -> HashMap k a -> HashMap k b -> Bool Source #

Ord k => Ord1 (HashMap k) 
Instance details

Defined in Data.HashMap.Internal

Methods

liftCompare :: (a -> b -> Ordering) -> HashMap k a -> HashMap k b -> Ordering Source #

(Eq k, Hashable k, Read k) => Read1 (HashMap k) 
Instance details

Defined in Data.HashMap.Internal

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (HashMap k a) Source #

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [HashMap k a] Source #

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (HashMap k a) Source #

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [HashMap k a] Source #

Show k => Show1 (HashMap k) 
Instance details

Defined in Data.HashMap.Internal

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> HashMap k a -> ShowS Source #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [HashMap k a] -> ShowS Source #

Traversable (HashMap k) 
Instance details

Defined in Data.HashMap.Internal

Methods

traverse :: Applicative f => (a -> f b) -> HashMap k a -> f (HashMap k b) Source #

sequenceA :: Applicative f => HashMap k (f a) -> f (HashMap k a) Source #

mapM :: Monad m => (a -> m b) -> HashMap k a -> m (HashMap k b) Source #

sequence :: Monad m => HashMap k (m a) -> m (HashMap k a) Source #

Functor (HashMap k) 
Instance details

Defined in Data.HashMap.Internal

Methods

fmap :: (a -> b) -> HashMap k a -> HashMap k b Source #

(<$) :: a -> HashMap k b -> HashMap k a Source #

NFData k => NFData1 (HashMap k)

Since: unordered-containers-0.2.14.0

Instance details

Defined in Data.HashMap.Internal

Methods

liftRnf :: (a -> ()) -> HashMap k a -> () Source #

Hashable k => Hashable1 (HashMap k) 
Instance details

Defined in Data.HashMap.Internal

Methods

liftHashWithSalt :: (Int -> a -> Int) -> Int -> HashMap k a -> Int Source #

(Data k, Data v, Eq k, Hashable k) => Data (HashMap k v) 
Instance details

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) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (HashMap k v) Source #

toConstr :: HashMap k v -> Constr Source #

dataTypeOf :: HashMap k v -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (HashMap k v)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (HashMap k v)) Source #

gmapT :: (forall b. Data b => b -> b) -> HashMap k v -> HashMap k v Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> HashMap k v -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> HashMap k v -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> HashMap k v -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> HashMap k v -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> HashMap k v -> m (HashMap k v) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> HashMap k v -> m (HashMap k v) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> HashMap k v -> m (HashMap k v) Source #

(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

Expand
>>> mappend (fromList [(1,'a'),(2,'b')]) (fromList [(2,'c'),(3,'d')])
fromList [(1,'a'),(2,'b'),(3,'d')]
Instance details

Defined in Data.HashMap.Internal

Methods

mempty :: HashMap k v Source #

mappend :: HashMap k v -> HashMap k v -> HashMap k v Source #

mconcat :: [HashMap k v] -> HashMap k v Source #

(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

Expand
>>> fromList [(1,'a'),(2,'b')] <> fromList [(2,'c'),(3,'d')]
fromList [(1,'a'),(2,'b'),(3,'d')]
Instance details

Defined in Data.HashMap.Internal

Methods

(<>) :: HashMap k v -> HashMap k v -> HashMap k v Source #

sconcat :: NonEmpty (HashMap k v) -> HashMap k v Source #

stimes :: Integral b => b -> HashMap k v -> HashMap k v Source #

(Eq k, Hashable k) => IsList (HashMap k v) 
Instance details

Defined in Data.HashMap.Internal

Associated Types

type Item (HashMap k v) Source #

Methods

fromList :: [Item (HashMap k v)] -> HashMap k v Source #

fromListN :: Int -> [Item (HashMap k v)] -> HashMap k v Source #

toList :: HashMap k v -> [Item (HashMap k v)] Source #

(Eq k, Hashable k, Read k, Read e) => Read (HashMap k e) 
Instance details

Defined in Data.HashMap.Internal

(Show k, Show v) => Show (HashMap k v) 
Instance details

Defined in Data.HashMap.Internal

Methods

showsPrec :: Int -> HashMap k v -> ShowS Source #

show :: HashMap k v -> String Source #

showList :: [HashMap k v] -> ShowS Source #

(NFData k, NFData v) => NFData (HashMap k v) 
Instance details

Defined in Data.HashMap.Internal

Methods

rnf :: HashMap k v -> () Source #

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

Note that, in the presence of hash collisions, equal HashMaps may behave differently, i.e. extensionality 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 extensionality can be observed with any function that depends on the key ordering, such as folds and traversals.

Instance details

Defined in Data.HashMap.Internal

Methods

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

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

(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.

Instance details

Defined in Data.HashMap.Internal

Methods

compare :: HashMap k v -> HashMap k v -> Ordering Source #

(<) :: HashMap k v -> HashMap k v -> Bool Source #

(<=) :: HashMap k v -> HashMap k v -> Bool Source #

(>) :: HashMap k v -> HashMap k v -> Bool Source #

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

max :: HashMap k v -> HashMap k v -> HashMap k v Source #

min :: HashMap k v -> HashMap k v -> HashMap k v Source #

(Hashable k, Hashable v) => Hashable (HashMap k v) 
Instance details

Defined in Data.HashMap.Internal

Methods

hashWithSalt :: Int -> HashMap k v -> Int Source #

hash :: HashMap k v -> Int Source #

type Item (HashMap k v) 
Instance details

Defined in Data.HashMap.Internal

type Item (HashMap k v) = (k, v)

data IntMap a Source #

A map of integers to values a.

Instances

Instances details
Foldable IntMap

Folds in order of increasing key.

Instance details

Defined in Data.IntMap.Internal

Methods

fold :: Monoid m => IntMap m -> m Source #

foldMap :: Monoid m => (a -> m) -> IntMap a -> m Source #

foldMap' :: Monoid m => (a -> m) -> IntMap a -> m Source #

foldr :: (a -> b -> b) -> b -> IntMap a -> b Source #

foldr' :: (a -> b -> b) -> b -> IntMap a -> b Source #

foldl :: (b -> a -> b) -> b -> IntMap a -> b Source #

foldl' :: (b -> a -> b) -> b -> IntMap a -> b Source #

foldr1 :: (a -> a -> a) -> IntMap a -> a Source #

foldl1 :: (a -> a -> a) -> IntMap a -> a Source #

toList :: IntMap a -> [a] Source #

null :: IntMap a -> Bool Source #

length :: IntMap a -> Int Source #

elem :: Eq a => a -> IntMap a -> Bool Source #

maximum :: Ord a => IntMap a -> a Source #

minimum :: Ord a => IntMap a -> a Source #

sum :: Num a => IntMap a -> a Source #

product :: Num a => IntMap a -> a Source #

Eq1 IntMap

Since: containers-0.5.9

Instance details

Defined in Data.IntMap.Internal

Methods

liftEq :: (a -> b -> Bool) -> IntMap a -> IntMap b -> Bool Source #

Ord1 IntMap

Since: containers-0.5.9

Instance details

Defined in Data.IntMap.Internal

Methods

liftCompare :: (a -> b -> Ordering) -> IntMap a -> IntMap b -> Ordering Source #

Read1 IntMap

Since: containers-0.5.9

Instance details

Defined in Data.IntMap.Internal

Show1 IntMap

Since: containers-0.5.9

Instance details

Defined in Data.IntMap.Internal

Methods

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

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

Traversable IntMap

Traverses in order of increasing key.

Instance details

Defined in Data.IntMap.Internal

Methods

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

sequenceA :: Applicative f => IntMap (f a) -> f (IntMap a) Source #

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

sequence :: Monad m => IntMap (m a) -> m (IntMap a) Source #

Functor IntMap 
Instance details

Defined in Data.IntMap.Internal

Methods

fmap :: (a -> b) -> IntMap a -> IntMap b Source #

(<$) :: a -> IntMap b -> IntMap a Source #

Hashable1 IntMap

Since: hashable-1.3.4.0

Instance details

Defined in Data.Hashable.Class

Methods

liftHashWithSalt :: (Int -> a -> Int) -> Int -> IntMap a -> Int Source #

Lift a => Lift (IntMap a :: Type)

Since: containers-0.6.6

Instance details

Defined in Data.IntMap.Internal

Methods

lift :: Quote m => IntMap a -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => IntMap a -> Code m (IntMap a) Source #

Data a => Data (IntMap a) 
Instance details

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) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (IntMap a) Source #

toConstr :: IntMap a -> Constr Source #

dataTypeOf :: IntMap a -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (IntMap a)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (IntMap a)) Source #

gmapT :: (forall b. Data b => b -> b) -> IntMap a -> IntMap a Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> IntMap a -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> IntMap a -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> IntMap a -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> IntMap a -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> IntMap a -> m (IntMap a) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> IntMap a -> m (IntMap a) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> IntMap a -> m (IntMap a) Source #

Monoid (IntMap a) 
Instance details

Defined in Data.IntMap.Internal

Semigroup (IntMap a)

Since: containers-0.5.7

Instance details

Defined in Data.IntMap.Internal

Methods

(<>) :: IntMap a -> IntMap a -> IntMap a Source #

sconcat :: NonEmpty (IntMap a) -> IntMap a Source #

stimes :: Integral b => b -> IntMap a -> IntMap a Source #

IsList (IntMap a)

Since: containers-0.5.6.2

Instance details

Defined in Data.IntMap.Internal

Associated Types

type Item (IntMap a) Source #

Methods

fromList :: [Item (IntMap a)] -> IntMap a Source #

fromListN :: Int -> [Item (IntMap a)] -> IntMap a Source #

toList :: IntMap a -> [Item (IntMap a)] Source #

Read e => Read (IntMap e) 
Instance details

Defined in Data.IntMap.Internal

Show a => Show (IntMap a) 
Instance details

Defined in Data.IntMap.Internal

NFData a => NFData (IntMap a) 
Instance details

Defined in Data.IntMap.Internal

Methods

rnf :: IntMap a -> () Source #

Eq a => Eq (IntMap a) 
Instance details

Defined in Data.IntMap.Internal

Methods

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

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

Ord a => Ord (IntMap a) 
Instance details

Defined in Data.IntMap.Internal

Methods

compare :: IntMap a -> IntMap a -> Ordering Source #

(<) :: IntMap a -> IntMap a -> Bool Source #

(<=) :: IntMap a -> IntMap a -> Bool Source #

(>) :: IntMap a -> IntMap a -> Bool Source #

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

max :: IntMap a -> IntMap a -> IntMap a Source #

min :: IntMap a -> IntMap a -> IntMap a Source #

Hashable v => Hashable (IntMap v)

Since: hashable-1.3.4.0

Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> IntMap v -> Int Source #

hash :: IntMap v -> Int Source #

type Item (IntMap a) 
Instance details

Defined in Data.IntMap.Internal

type Item (IntMap a) = (Key, a)

data Set a Source #

A set of values a.

Instances

Instances details
Foldable Set

Folds in order of increasing key.

Instance details

Defined in Data.Set.Internal

Methods

fold :: Monoid m => Set m -> m Source #

foldMap :: Monoid m => (a -> m) -> Set a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Set a -> m Source #

foldr :: (a -> b -> b) -> b -> Set a -> b Source #

foldr' :: (a -> b -> b) -> b -> Set a -> b Source #

foldl :: (b -> a -> b) -> b -> Set a -> b Source #

foldl' :: (b -> a -> b) -> b -> Set a -> b Source #

foldr1 :: (a -> a -> a) -> Set a -> a Source #

foldl1 :: (a -> a -> a) -> Set a -> a Source #

toList :: Set a -> [a] Source #

null :: Set a -> Bool Source #

length :: Set a -> Int Source #

elem :: Eq a => a -> Set a -> Bool Source #

maximum :: Ord a => Set a -> a Source #

minimum :: Ord a => Set a -> a Source #

sum :: Num a => Set a -> a Source #

product :: Num a => Set a -> a Source #

Eq1 Set

Since: containers-0.5.9

Instance details

Defined in Data.Set.Internal

Methods

liftEq :: (a -> b -> Bool) -> Set a -> Set b -> Bool Source #

Ord1 Set

Since: containers-0.5.9

Instance details

Defined in Data.Set.Internal

Methods

liftCompare :: (a -> b -> Ordering) -> Set a -> Set b -> Ordering Source #

Show1 Set

Since: containers-0.5.9

Instance details

Defined in Data.Set.Internal

Methods

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

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

Hashable1 Set

Since: hashable-1.3.4.0

Instance details

Defined in Data.Hashable.Class

Methods

liftHashWithSalt :: (Int -> a -> Int) -> Int -> Set a -> Int Source #

Lift a => Lift (Set a :: Type)

Since: containers-0.6.6

Instance details

Defined in Data.Set.Internal

Methods

lift :: Quote m => Set a -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => Set a -> Code m (Set a) Source #

(Data a, Ord a) => Data (Set a) 
Instance details

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) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Set a) Source #

toConstr :: Set a -> Constr Source #

dataTypeOf :: Set a -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Set a)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Set a)) Source #

gmapT :: (forall b. Data b => b -> b) -> Set a -> Set a Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Set a -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Set a -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Set a -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Set a -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Set a -> m (Set a) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Set a -> m (Set a) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Set a -> m (Set a) Source #

Ord a => Monoid (Set a) 
Instance details

Defined in Data.Set.Internal

Methods

mempty :: Set a Source #

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

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

Ord a => Semigroup (Set a)

Since: containers-0.5.7

Instance details

Defined in Data.Set.Internal

Methods

(<>) :: Set a -> Set a -> Set a Source #

sconcat :: NonEmpty (Set a) -> Set a Source #

stimes :: Integral b => b -> Set a -> Set a Source #

Ord a => IsList (Set a)

Since: containers-0.5.6.2

Instance details

Defined in Data.Set.Internal

Associated Types

type Item (Set a) Source #

Methods

fromList :: [Item (Set a)] -> Set a Source #

fromListN :: Int -> [Item (Set a)] -> Set a Source #

toList :: Set a -> [Item (Set a)] Source #

(Read a, Ord a) => Read (Set a) 
Instance details

Defined in Data.Set.Internal

Show a => Show (Set a) 
Instance details

Defined in Data.Set.Internal

Methods

showsPrec :: Int -> Set a -> ShowS Source #

show :: Set a -> String Source #

showList :: [Set a] -> ShowS Source #

NFData a => NFData (Set a) 
Instance details

Defined in Data.Set.Internal

Methods

rnf :: Set a -> () Source #

Eq a => Eq (Set a) 
Instance details

Defined in Data.Set.Internal

Methods

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

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

Ord a => Ord (Set a) 
Instance details

Defined in Data.Set.Internal

Methods

compare :: Set a -> Set a -> Ordering Source #

(<) :: Set a -> Set a -> Bool Source #

(<=) :: Set a -> Set a -> Bool Source #

(>) :: Set a -> Set a -> Bool Source #

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

max :: Set a -> Set a -> Set a Source #

min :: Set a -> Set a -> Set a Source #

Hashable v => Hashable (Set v)

Since: hashable-1.3.4.0

Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Set v -> Int Source #

hash :: Set v -> Int Source #

type Item (Set a) 
Instance details

Defined in Data.Set.Internal

type Item (Set a) = a

data HashSet a Source #

A set of values. A set cannot contain duplicate values.

Instances

Instances details
Foldable HashSet 
Instance details

Defined in Data.HashSet.Internal

Methods

fold :: Monoid m => HashSet m -> m Source #

foldMap :: Monoid m => (a -> m) -> HashSet a -> m Source #

foldMap' :: Monoid m => (a -> m) -> HashSet a -> m Source #

foldr :: (a -> b -> b) -> b -> HashSet a -> b Source #

foldr' :: (a -> b -> b) -> b -> HashSet a -> b Source #

foldl :: (b -> a -> b) -> b -> HashSet a -> b Source #

foldl' :: (b -> a -> b) -> b -> HashSet a -> b Source #

foldr1 :: (a -> a -> a) -> HashSet a -> a Source #

foldl1 :: (a -> a -> a) -> HashSet a -> a Source #

toList :: HashSet a -> [a] Source #

null :: HashSet a -> Bool Source #

length :: HashSet a -> Int Source #

elem :: Eq a => a -> HashSet a -> Bool Source #

maximum :: Ord a => HashSet a -> a Source #

minimum :: Ord a => HashSet a -> a Source #

sum :: Num a => HashSet a -> a Source #

product :: Num a => HashSet a -> a Source #

Eq1 HashSet 
Instance details

Defined in Data.HashSet.Internal

Methods

liftEq :: (a -> b -> Bool) -> HashSet a -> HashSet b -> Bool Source #

Ord1 HashSet 
Instance details

Defined in Data.HashSet.Internal

Methods

liftCompare :: (a -> b -> Ordering) -> HashSet a -> HashSet b -> Ordering Source #

Show1 HashSet 
Instance details

Defined in Data.HashSet.Internal

Methods

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

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

NFData1 HashSet

Since: unordered-containers-0.2.14.0

Instance details

Defined in Data.HashSet.Internal

Methods

liftRnf :: (a -> ()) -> HashSet a -> () Source #

Hashable1 HashSet 
Instance details

Defined in Data.HashSet.Internal

Methods

liftHashWithSalt :: (Int -> a -> Int) -> Int -> HashSet a -> Int Source #

Lift a => Lift (HashSet a :: Type)

Since: unordered-containers-0.2.17.0

Instance details

Defined in Data.HashSet.Internal

Methods

lift :: Quote m => HashSet a -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => HashSet a -> Code m (HashSet a) Source #

(Data a, Eq a, Hashable a) => Data (HashSet a) 
Instance details

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) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (HashSet a) Source #

toConstr :: HashSet a -> Constr Source #

dataTypeOf :: HashSet a -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (HashSet a)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (HashSet a)) Source #

gmapT :: (forall b. Data b => b -> b) -> HashSet a -> HashSet a Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> HashSet a -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> HashSet a -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> HashSet a -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> HashSet a -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> HashSet a -> m (HashSet a) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> HashSet a -> m (HashSet a) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> HashSet a -> m (HashSet a) Source #

(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

Expand
>>> mappend (fromList [1,2]) (fromList [2,3])
fromList [1,2,3]
Instance details

Defined in Data.HashSet.Internal

(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

Expand
>>> fromList [1,2] <> fromList [2,3]
fromList [1,2,3]
Instance details

Defined in Data.HashSet.Internal

Methods

(<>) :: HashSet a -> HashSet a -> HashSet a Source #

sconcat :: NonEmpty (HashSet a) -> HashSet a Source #

stimes :: Integral b => b -> HashSet a -> HashSet a Source #

(Eq a, Hashable a) => IsList (HashSet a) 
Instance details

Defined in Data.HashSet.Internal

Associated Types

type Item (HashSet a) Source #

Methods

fromList :: [Item (HashSet a)] -> HashSet a Source #

fromListN :: Int -> [Item (HashSet a)] -> HashSet a Source #

toList :: HashSet a -> [Item (HashSet a)] Source #

(Eq a, Hashable a, Read a) => Read (HashSet a) 
Instance details

Defined in Data.HashSet.Internal

Show a => Show (HashSet a) 
Instance details

Defined in Data.HashSet.Internal

NFData a => NFData (HashSet a) 
Instance details

Defined in Data.HashSet.Internal

Methods

rnf :: HashSet a -> () Source #

Eq a => Eq (HashSet a)

Note that, in the presence of hash collisions, equal HashSets may behave differently, i.e. extensionality 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 extensionality can be observed with any function that depends on the key ordering, such as folds and traversals.

Instance details

Defined in Data.HashSet.Internal

Methods

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

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

Ord a => Ord (HashSet a) 
Instance details

Defined in Data.HashSet.Internal

Hashable a => Hashable (HashSet a) 
Instance details

Defined in Data.HashSet.Internal

type Item (HashSet a) 
Instance details

Defined in Data.HashSet.Internal

type Item (HashSet a) = a

data IntSet Source #

A set of integers.

Instances

Instances details
Data IntSet 
Instance details

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 Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c IntSet Source #

toConstr :: IntSet -> Constr Source #

dataTypeOf :: IntSet -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c IntSet) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c IntSet) Source #

gmapT :: (forall b. Data b => b -> b) -> IntSet -> IntSet Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> IntSet -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> IntSet -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> IntSet -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> IntSet -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> IntSet -> m IntSet Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> IntSet -> m IntSet Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> IntSet -> m IntSet Source #

Monoid IntSet 
Instance details

Defined in Data.IntSet.Internal

Semigroup IntSet

Since: containers-0.5.7

Instance details

Defined in Data.IntSet.Internal

IsList IntSet

Since: containers-0.5.6.2

Instance details

Defined in Data.IntSet.Internal

Associated Types

type Item IntSet Source #

Read IntSet 
Instance details

Defined in Data.IntSet.Internal

Show IntSet 
Instance details

Defined in Data.IntSet.Internal

NFData IntSet 
Instance details

Defined in Data.IntSet.Internal

Methods

rnf :: IntSet -> () Source #

Eq IntSet 
Instance details

Defined in Data.IntSet.Internal

Ord IntSet 
Instance details

Defined in Data.IntSet.Internal

Hashable IntSet

Since: hashable-1.3.4.0

Instance details

Defined in Data.Hashable.Class

Lift IntSet

Since: containers-0.6.6

Instance details

Defined in Data.IntSet.Internal

Methods

lift :: Quote m => IntSet -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => IntSet -> Code m IntSet Source #

type Item IntSet 
Instance details

Defined in Data.IntSet.Internal

type Item IntSet = Key

data Seq a Source #

General-purpose finite sequences.

Instances

Instances details
MonadFix Seq

Since: containers-0.5.11

Instance details

Defined in Data.Sequence.Internal

Methods

mfix :: (a -> Seq a) -> Seq a Source #

MonadZip Seq
 mzipWith = zipWith
 munzip = unzip
Instance details

Defined in Data.Sequence.Internal

Methods

mzip :: Seq a -> Seq b -> Seq (a, b) Source #

mzipWith :: (a -> b -> c) -> Seq a -> Seq b -> Seq c Source #

munzip :: Seq (a, b) -> (Seq a, Seq b) Source #

Foldable Seq 
Instance details

Defined in Data.Sequence.Internal

Methods

fold :: Monoid m => Seq m -> m Source #

foldMap :: Monoid m => (a -> m) -> Seq a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Seq a -> m Source #

foldr :: (a -> b -> b) -> b -> Seq a -> b Source #

foldr' :: (a -> b -> b) -> b -> Seq a -> b Source #

foldl :: (b -> a -> b) -> b -> Seq a -> b Source #

foldl' :: (b -> a -> b) -> b -> Seq a -> b Source #

foldr1 :: (a -> a -> a) -> Seq a -> a Source #

foldl1 :: (a -> a -> a) -> Seq a -> a Source #

toList :: Seq a -> [a] Source #

null :: Seq a -> Bool Source #

length :: Seq a -> Int Source #

elem :: Eq a => a -> Seq a -> Bool Source #

maximum :: Ord a => Seq a -> a Source #

minimum :: Ord a => Seq a -> a Source #

sum :: Num a => Seq a -> a Source #

product :: Num a => Seq a -> a Source #

Eq1 Seq

Since: containers-0.5.9

Instance details

Defined in Data.Sequence.Internal

Methods

liftEq :: (a -> b -> Bool) -> Seq a -> Seq b -> Bool Source #

Ord1 Seq

Since: containers-0.5.9

Instance details

Defined in Data.Sequence.Internal

Methods

liftCompare :: (a -> b -> Ordering) -> Seq a -> Seq b -> Ordering Source #

Read1 Seq

Since: containers-0.5.9

Instance details

Defined in Data.Sequence.Internal

Methods

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

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

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Seq a) Source #

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Seq a] Source #

Show1 Seq

Since: containers-0.5.9

Instance details

Defined in Data.Sequence.Internal

Methods

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

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

Traversable Seq 
Instance details

Defined in Data.Sequence.Internal

Methods

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

sequenceA :: Applicative f => Seq (f a) -> f (Seq a) Source #

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

sequence :: Monad m => Seq (m a) -> m (Seq a) Source #

Alternative Seq

Since: containers-0.5.4

Instance details

Defined in Data.Sequence.Internal

Methods

empty :: Seq a Source #

(<|>) :: Seq a -> Seq a -> Seq a Source #

some :: Seq a -> Seq [a] Source #

many :: Seq a -> Seq [a] Source #

Applicative Seq

Since: containers-0.5.4

Instance details

Defined in Data.Sequence.Internal

Methods

pure :: a -> Seq a Source #

(<*>) :: Seq (a -> b) -> Seq a -> Seq b Source #

liftA2 :: (a -> b -> c) -> Seq a -> Seq b -> Seq c Source #

(*>) :: Seq a -> Seq b -> Seq b Source #

(<*) :: Seq a -> Seq b -> Seq a Source #

Functor Seq 
Instance details

Defined in Data.Sequence.Internal

Methods

fmap :: (a -> b) -> Seq a -> Seq b Source #

(<$) :: a -> Seq b -> Seq a Source #

Monad Seq 
Instance details

Defined in Data.Sequence.Internal

Methods

(>>=) :: Seq a -> (a -> Seq b) -> Seq b Source #

(>>) :: Seq a -> Seq b -> Seq b Source #

return :: a -> Seq a Source #

MonadPlus Seq 
Instance details

Defined in Data.Sequence.Internal

Methods

mzero :: Seq a Source #

mplus :: Seq a -> Seq a -> Seq a Source #

UnzipWith Seq 
Instance details

Defined in Data.Sequence.Internal

Methods

unzipWith' :: (x -> (a, b)) -> Seq x -> (Seq a, Seq b)

Hashable1 Seq

Since: hashable-1.3.4.0

Instance details

Defined in Data.Hashable.Class

Methods

liftHashWithSalt :: (Int -> a -> Int) -> Int -> Seq a -> Int Source #

Lift a => Lift (Seq a :: Type)

Since: containers-0.6.6

Instance details

Defined in Data.Sequence.Internal

Methods

lift :: Quote m => Seq a -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => Seq a -> Code m (Seq a) Source #

Data a => Data (Seq a) 
Instance details

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) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Seq a) Source #

toConstr :: Seq a -> Constr Source #

dataTypeOf :: Seq a -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Seq a)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Seq a)) Source #

gmapT :: (forall b. Data b => b -> b) -> Seq a -> Seq a Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Seq a -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Seq a -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Seq a -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Seq a -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a) Source #

a ~ Char => IsString (Seq a)

Since: containers-0.5.7

Instance details

Defined in Data.Sequence.Internal

Methods

fromString :: String -> Seq a Source #

Monoid (Seq a) 
Instance details

Defined in Data.Sequence.Internal

Methods

mempty :: Seq a Source #

mappend :: Seq a -> Seq a -> Seq a Source #

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

Semigroup (Seq a)

Since: containers-0.5.7

Instance details

Defined in Data.Sequence.Internal

Methods

(<>) :: Seq a -> Seq a -> Seq a Source #

sconcat :: NonEmpty (Seq a) -> Seq a Source #

stimes :: Integral b => b -> Seq a -> Seq a Source #

IsList (Seq a) 
Instance details

Defined in Data.Sequence.Internal

Associated Types

type Item (Seq a) Source #

Methods

fromList :: [Item (Seq a)] -> Seq a Source #

fromListN :: Int -> [Item (Seq a)] -> Seq a Source #

toList :: Seq a -> [Item (Seq a)] Source #

Read a => Read (Seq a) 
Instance details

Defined in Data.Sequence.Internal

Show a => Show (Seq a) 
Instance details

Defined in Data.Sequence.Internal

Methods

showsPrec :: Int -> Seq a -> ShowS Source #

show :: Seq a -> String Source #

showList :: [Seq a] -> ShowS Source #

NFData a => NFData (Seq a) 
Instance details

Defined in Data.Sequence.Internal

Methods

rnf :: Seq a -> () Source #

Eq a => Eq (Seq a) 
Instance details

Defined in Data.Sequence.Internal

Methods

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

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

Ord a => Ord (Seq a) 
Instance details

Defined in Data.Sequence.Internal

Methods

compare :: Seq a -> Seq a -> Ordering Source #

(<) :: Seq a -> Seq a -> Bool Source #

(<=) :: Seq a -> Seq a -> Bool Source #

(>) :: Seq a -> Seq a -> Bool Source #

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

max :: Seq a -> Seq a -> Seq a Source #

min :: Seq a -> Seq a -> Seq a Source #

Hashable v => Hashable (Seq v)

Since: hashable-1.3.4.0

Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Seq v -> Int Source #

hash :: Seq v -> Int Source #

type Item (Seq a) 
Instance details

Defined in Data.Sequence.Internal

type Item (Seq a) = a

data Vector a Source #

Boxed vectors, supporting efficient slicing.

Instances

Instances details
MonadFail Vector

Since: vector-0.12.1.0

Instance details

Defined in Data.Vector

Methods

fail :: String -> Vector a Source #

MonadFix Vector

This instance has the same semantics as the one for lists.

Since: vector-0.12.2.0

Instance details

Defined in Data.Vector

Methods

mfix :: (a -> Vector a) -> Vector a Source #

MonadZip Vector 
Instance details

Defined in Data.Vector

Methods

mzip :: Vector a -> Vector b -> Vector (a, b) Source #

mzipWith :: (a -> b -> c) -> Vector a -> Vector b -> Vector c Source #

munzip :: Vector (a, b) -> (Vector a, Vector b) Source #

Foldable Vector 
Instance details

Defined in Data.Vector

Methods

fold :: Monoid m => Vector m -> m Source #

foldMap :: Monoid m => (a -> m) -> Vector a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Vector a -> m Source #

foldr :: (a -> b -> b) -> b -> Vector a -> b Source #

foldr' :: (a -> b -> b) -> b -> Vector a -> b Source #

foldl :: (b -> a -> b) -> b -> Vector a -> b Source #

foldl' :: (b -> a -> b) -> b -> Vector a -> b Source #

foldr1 :: (a -> a -> a) -> Vector a -> a Source #

foldl1 :: (a -> a -> a) -> Vector a -> a Source #

toList :: Vector a -> [a] Source #

null :: Vector a -> Bool Source #

length :: Vector a -> Int Source #

elem :: Eq a => a -> Vector a -> Bool Source #

maximum :: Ord a => Vector a -> a Source #

minimum :: Ord a => Vector a -> a Source #

sum :: Num a => Vector a -> a Source #

product :: Num a => Vector a -> a Source #

Eq1 Vector 
Instance details

Defined in Data.Vector

Methods

liftEq :: (a -> b -> Bool) -> Vector a -> Vector b -> Bool Source #

Ord1 Vector 
Instance details

Defined in Data.Vector

Methods

liftCompare :: (a -> b -> Ordering) -> Vector a -> Vector b -> Ordering Source #

Read1 Vector 
Instance details

Defined in Data.Vector

Show1 Vector 
Instance details

Defined in Data.Vector

Methods

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

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

Traversable Vector 
Instance details

Defined in Data.Vector

Methods

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

sequenceA :: Applicative f => Vector (f a) -> f (Vector a) Source #

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

sequence :: Monad m => Vector (m a) -> m (Vector a) Source #

Alternative Vector 
Instance details

Defined in Data.Vector

Methods

empty :: Vector a Source #

(<|>) :: Vector a -> Vector a -> Vector a Source #

some :: Vector a -> Vector [a] Source #

many :: Vector a -> Vector [a] Source #

Applicative Vector 
Instance details

Defined in Data.Vector

Methods

pure :: a -> Vector a Source #

(<*>) :: Vector (a -> b) -> Vector a -> Vector b Source #

liftA2 :: (a -> b -> c) -> Vector a -> Vector b -> Vector c Source #

(*>) :: Vector a -> Vector b -> Vector b Source #

(<*) :: Vector a -> Vector b -> Vector a Source #

Functor Vector 
Instance details

Defined in Data.Vector

Methods

fmap :: (a -> b) -> Vector a -> Vector b Source #

(<$) :: a -> Vector b -> Vector a Source #

Monad Vector 
Instance details

Defined in Data.Vector

Methods

(>>=) :: Vector a -> (a -> Vector b) -> Vector b Source #

(>>) :: Vector a -> Vector b -> Vector b Source #

return :: a -> Vector a Source #

MonadPlus Vector 
Instance details

Defined in Data.Vector

Methods

mzero :: Vector a Source #

mplus :: Vector a -> Vector a -> Vector a Source #

NFData1 Vector

Since: vector-0.12.1.0

Instance details

Defined in Data.Vector

Methods

liftRnf :: (a -> ()) -> Vector a -> () Source #

Vector Vector a 
Instance details

Defined in Data.Vector

Data a => Data (Vector a) 
Instance details

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) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Vector a) Source #

toConstr :: Vector a -> Constr Source #

dataTypeOf :: Vector a -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Vector a)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Vector a)) Source #

gmapT :: (forall b. Data b => b -> b) -> Vector a -> Vector a Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Vector a -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Vector a -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Vector a -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Vector a -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Vector a -> m (Vector a) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Vector a -> m (Vector a) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Vector a -> m (Vector a) Source #

Monoid (Vector a) 
Instance details

Defined in Data.Vector

Semigroup (Vector a) 
Instance details

Defined in Data.Vector

Methods

(<>) :: Vector a -> Vector a -> Vector a Source #

sconcat :: NonEmpty (Vector a) -> Vector a Source #

stimes :: Integral b => b -> Vector a -> Vector a Source #

IsList (Vector a) 
Instance details

Defined in Data.Vector

Associated Types

type Item (Vector a) Source #

Methods

fromList :: [Item (Vector a)] -> Vector a Source #

fromListN :: Int -> [Item (Vector a)] -> Vector a Source #

toList :: Vector a -> [Item (Vector a)] Source #

Read a => Read (Vector a) 
Instance details

Defined in Data.Vector

Show a => Show (Vector a) 
Instance details

Defined in Data.Vector

NFData a => NFData (Vector a) 
Instance details

Defined in Data.Vector

Methods

rnf :: Vector a -> () Source #

Eq a => Eq (Vector a) 
Instance details

Defined in Data.Vector

Methods

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

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

Ord a => Ord (Vector a) 
Instance details

Defined in Data.Vector

Methods

compare :: Vector a -> Vector a -> Ordering Source #

(<) :: Vector a -> Vector a -> Bool Source #

(<=) :: Vector a -> Vector a -> Bool Source #

(>) :: Vector a -> Vector a -> Bool Source #

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

max :: Vector a -> Vector a -> Vector a Source #

min :: Vector a -> Vector a -> Vector a Source #

type Mutable Vector 
Instance details

Defined in Data.Vector

type Item (Vector a) 
Instance details

Defined in Data.Vector

type Item (Vector a) = a

class (Vector Vector a, MVector MVector a) => Unbox a Source #

Instances

Instances details
Unbox All 
Instance details

Defined in Data.Vector.Unboxed.Base

Unbox Any 
Instance details

Defined in Data.Vector.Unboxed.Base

Unbox Int16 
Instance details

Defined in Data.Vector.Unboxed.Base

Unbox Int32 
Instance details

Defined in Data.Vector.Unboxed.Base

Unbox Int64 
Instance details

Defined in Data.Vector.Unboxed.Base

Unbox Int8 
Instance details

Defined in Data.Vector.Unboxed.Base

Unbox Word16 
Instance details

Defined in Data.Vector.Unboxed.Base

Unbox Word32 
Instance details

Defined in Data.Vector.Unboxed.Base

Unbox Word64 
Instance details

Defined in Data.Vector.Unboxed.Base

Unbox Word8 
Instance details

Defined in Data.Vector.Unboxed.Base

Unbox () 
Instance details

Defined in Data.Vector.Unboxed.Base

Unbox Bool 
Instance details

Defined in Data.Vector.Unboxed.Base

Unbox Char 
Instance details

Defined in Data.Vector.Unboxed.Base

Unbox Double 
Instance details

Defined in Data.Vector.Unboxed.Base

Unbox Float 
Instance details

Defined in Data.Vector.Unboxed.Base

Unbox Int 
Instance details

Defined in Data.Vector.Unboxed.Base

Unbox Word 
Instance details

Defined in Data.Vector.Unboxed.Base

Unbox a => Unbox (Complex a) 
Instance details

Defined in Data.Vector.Unboxed.Base

Unbox a => Unbox (Identity a) 
Instance details

Defined in Data.Vector.Unboxed.Base

Unbox a => Unbox (Down a) 
Instance details

Defined in Data.Vector.Unboxed.Base

Unbox a => Unbox (First a) 
Instance details

Defined in Data.Vector.Unboxed.Base

Unbox a => Unbox (Last a) 
Instance details

Defined in Data.Vector.Unboxed.Base

Unbox a => Unbox (Max a) 
Instance details

Defined in Data.Vector.Unboxed.Base

Unbox a => Unbox (Min a) 
Instance details

Defined in Data.Vector.Unboxed.Base

Unbox a => Unbox (WrappedMonoid a) 
Instance details

Defined in Data.Vector.Unboxed.Base

Unbox a => Unbox (Dual a) 
Instance details

Defined in Data.Vector.Unboxed.Base

Unbox a => Unbox (Product a) 
Instance details

Defined in Data.Vector.Unboxed.Base

Unbox a => Unbox (Sum a) 
Instance details

Defined in Data.Vector.Unboxed.Base

(Unbox a, Unbox b) => Unbox (Arg a b) 
Instance details

Defined in Data.Vector.Unboxed.Base

(Unbox a, Unbox b) => Unbox (a, b) 
Instance details

Defined in Data.Vector.Unboxed.Base

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

Defined in Data.Vector.Unboxed.Base

Unbox (f a) => Unbox (Alt f a) 
Instance details

Defined in Data.Vector.Unboxed.Base

(Unbox a, Unbox b, Unbox c) => Unbox (a, b, c) 
Instance details

Defined in Data.Vector.Unboxed.Base

(Unbox a, Unbox b, Unbox c, Unbox d) => Unbox (a, b, c, d) 
Instance details

Defined in Data.Vector.Unboxed.Base

Unbox (f (g a)) => Unbox (Compose f g a) 
Instance details

Defined in Data.Vector.Unboxed.Base

(Unbox a, Unbox b, Unbox c, Unbox d, Unbox e) => Unbox (a, b, c, d, e) 
Instance details

Defined in Data.Vector.Unboxed.Base

(Unbox a, Unbox b, Unbox c, Unbox d, Unbox e, Unbox f) => Unbox (a, b, c, d, e, f) 
Instance details

Defined in Data.Vector.Unboxed.Base

class Storable a Source #

The member functions of this class facilitate writing values of primitive types to raw memory (which may have been allocated with the above mentioned routines) and reading values from blocks of raw memory. The class, furthermore, includes support for computing the storage requirements and alignment restrictions of storable types.

Memory addresses are represented as values of type Ptr a, for some a which is an instance of class Storable. The type argument to Ptr helps provide some valuable type safety in FFI code (you can't mix pointers of different types without an explicit cast), while helping the Haskell type system figure out which marshalling method is needed for a given pointer.

All marshalling between Haskell and a foreign language ultimately boils down to translating Haskell data structures into the binary representation of a corresponding data structure of the foreign language and vice versa. To code this marshalling in Haskell, it is necessary to manipulate primitive data types stored in unstructured memory blocks. The class Storable facilitates this manipulation on all types for which it is instantiated, which are the standard basic types of Haskell, the fixed size Int types (Int8, Int16, Int32, Int64), the fixed size Word types (Word8, Word16, Word32, Word64), StablePtr, all types from Foreign.C.Types, as well as Ptr.

Minimal complete definition

sizeOf, alignment, (peek | peekElemOff | peekByteOff), (poke | pokeElemOff | pokeByteOff)

Instances

Instances details
Storable CBool 
Instance details

Defined in Foreign.C.Types

Storable CChar 
Instance details

Defined in Foreign.C.Types

Storable CClock 
Instance details

Defined in Foreign.C.Types

Storable CDouble 
Instance details

Defined in Foreign.C.Types

Storable CFloat 
Instance details

Defined in Foreign.C.Types

Storable CInt 
Instance details

Defined in Foreign.C.Types

Storable CIntMax 
Instance details

Defined in Foreign.C.Types

Storable CIntPtr 
Instance details

Defined in Foreign.C.Types

Storable CLLong 
Instance details

Defined in Foreign.C.Types

Storable CLong 
Instance details

Defined in Foreign.C.Types

Storable CPtrdiff 
Instance details

Defined in Foreign.C.Types

Storable CSChar 
Instance details

Defined in Foreign.C.Types

Storable CSUSeconds 
Instance details

Defined in Foreign.C.Types

Storable CShort 
Instance details

Defined in Foreign.C.Types

Storable CSigAtomic 
Instance details

Defined in Foreign.C.Types

Storable CSize 
Instance details

Defined in Foreign.C.Types

Storable CTime 
Instance details

Defined in Foreign.C.Types

Storable CUChar 
Instance details

Defined in Foreign.C.Types

Storable CUInt 
Instance details

Defined in Foreign.C.Types

Storable CUIntMax 
Instance details

Defined in Foreign.C.Types

Storable CUIntPtr 
Instance details

Defined in Foreign.C.Types

Storable CULLong 
Instance details

Defined in Foreign.C.Types

Storable CULong 
Instance details

Defined in Foreign.C.Types

Storable CUSeconds 
Instance details

Defined in Foreign.C.Types

Storable CUShort 
Instance details

Defined in Foreign.C.Types

Storable CWchar 
Instance details

Defined in Foreign.C.Types

Storable Fingerprint

Since: base-4.4.0.0

Instance details

Defined in Foreign.Storable

Storable Int16

Since: base-2.1

Instance details

Defined in Foreign.Storable

Storable Int32

Since: base-2.1

Instance details

Defined in Foreign.Storable

Storable Int64

Since: base-2.1

Instance details

Defined in Foreign.Storable

Storable Int8

Since: base-2.1

Instance details

Defined in Foreign.Storable

Storable Word16

Since: base-2.1

Instance details

Defined in Foreign.Storable

Storable Word32

Since: base-2.1

Instance details

Defined in Foreign.Storable

Storable Word64

Since: base-2.1

Instance details

Defined in Foreign.Storable

Storable Word8

Since: base-2.1

Instance details

Defined in Foreign.Storable

Storable ()

Since: base-4.9.0.0

Instance details

Defined in Foreign.Storable

Methods

sizeOf :: () -> Int Source #

alignment :: () -> Int Source #

peekElemOff :: Ptr () -> Int -> IO () Source #

pokeElemOff :: Ptr () -> Int -> () -> IO () Source #

peekByteOff :: Ptr b -> Int -> IO () Source #

pokeByteOff :: Ptr b -> Int -> () -> IO () Source #

peek :: Ptr () -> IO () Source #

poke :: Ptr () -> () -> IO () Source #

Storable Bool

Since: base-2.1

Instance details

Defined in Foreign.Storable

Storable Char

Since: base-2.1

Instance details

Defined in Foreign.Storable

Storable Double

Since: base-2.1

Instance details

Defined in Foreign.Storable

Storable Float

Since: base-2.1

Instance details

Defined in Foreign.Storable

Storable Int

Since: base-2.1

Instance details

Defined in Foreign.Storable

Storable Word

Since: base-2.1

Instance details

Defined in Foreign.Storable

Storable a => Storable (Down a)

Since: base-4.14.0.0

Instance details

Defined in Data.Ord

Methods

sizeOf :: Down a -> Int Source #

alignment :: Down a -> Int Source #

peekElemOff :: Ptr (Down a) -> Int -> IO (Down a) Source #

pokeElemOff :: Ptr (Down a) -> Int -> Down a -> IO () Source #

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

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

peek :: Ptr (Down a) -> IO (Down a) Source #

poke :: Ptr (Down a) -> Down a -> IO () Source #

Storable (ConstPtr a) 
Instance details

Defined in Foreign.Storable

Storable (FunPtr a)

Since: base-2.1

Instance details

Defined in Foreign.Storable

Methods

sizeOf :: FunPtr a -> Int Source #

alignment :: FunPtr a -> Int Source #

peekElemOff :: Ptr (FunPtr a) -> Int -> IO (FunPtr a) Source #

pokeElemOff :: Ptr (FunPtr a) -> Int -> FunPtr a -> IO () Source #

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

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

peek :: Ptr (FunPtr a) -> IO (FunPtr a) Source #

poke :: Ptr (FunPtr a) -> FunPtr a -> IO () Source #

Storable (Ptr a)

Since: base-2.1

Instance details

Defined in Foreign.Storable

Methods

sizeOf :: Ptr a -> Int Source #

alignment :: Ptr a -> Int Source #

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

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

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

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

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

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

(Storable a, Integral a) => Storable (Ratio a)

Since: base-4.8.0.0

Instance details

Defined in Foreign.Storable

Methods

sizeOf :: Ratio a -> Int Source #

alignment :: Ratio a -> Int Source #

peekElemOff :: Ptr (Ratio a) -> Int -> IO (Ratio a) Source #

pokeElemOff :: Ptr (Ratio a) -> Int -> Ratio a -> IO () Source #

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

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

peek :: Ptr (Ratio a) -> IO (Ratio a) Source #

poke :: Ptr (Ratio a) -> Ratio a -> IO () Source #

Storable (StablePtr a)

Since: base-2.1

Instance details

Defined in Foreign.Storable

Storable a => Storable (Const a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Methods

sizeOf :: Const a b -> Int Source #

alignment :: Const a b -> Int Source #

peekElemOff :: Ptr (Const a b) -> Int -> IO (Const a b) Source #

pokeElemOff :: Ptr (Const a b) -> Int -> Const a b -> IO () Source #

peekByteOff :: Ptr b0 -> Int -> IO (Const a b) Source #

pokeByteOff :: Ptr b0 -> Int -> Const a b -> IO () Source #

peek :: Ptr (Const a b) -> IO (Const a b) Source #

poke :: Ptr (Const a b) -> Const a b -> IO () Source #

class Eq a => Hashable a Source #

The class of types that can be converted to a hash value.

Minimal implementation: hashWithSalt.

Note: the hash is not guaranteed to be stable across library versions, operating systems or architectures. For stable hashing use named hashes: SHA256, CRC32 etc.

If you are looking for Hashable instance in time package, check time-compat

Instances

Instances details
Hashable ByteArray

This instance was available since 1.4.1.0 only for GHC-9.4+

Since: hashable-1.4.2.0

Instance details

Defined in Data.Hashable.Class

Hashable SomeTypeRep 
Instance details

Defined in Data.Hashable.Class

Hashable Unique 
Instance details

Defined in Data.Hashable.Class

Hashable Version 
Instance details

Defined in Data.Hashable.Class

Hashable IntPtr 
Instance details

Defined in Data.Hashable.Class

Hashable WordPtr 
Instance details

Defined in Data.Hashable.Class

Hashable Void 
Instance details

Defined in Data.Hashable.Class

Hashable ThreadId 
Instance details

Defined in Data.Hashable.Class

Hashable Fingerprint

Since: hashable-1.3.0.0

Instance details

Defined in Data.Hashable.Class

Hashable Int16 
Instance details

Defined in Data.Hashable.Class

Hashable Int32 
Instance details

Defined in Data.Hashable.Class

Hashable Int64 
Instance details

Defined in Data.Hashable.Class

Hashable Int8 
Instance details

Defined in Data.Hashable.Class

Hashable Word16 
Instance details

Defined in Data.Hashable.Class

Hashable Word32 
Instance details

Defined in Data.Hashable.Class

Hashable Word64 
Instance details

Defined in Data.Hashable.Class

Hashable Word8 
Instance details

Defined in Data.Hashable.Class

Hashable ByteString 
Instance details

Defined in Data.Hashable.Class

Hashable ByteString 
Instance details

Defined in Data.Hashable.Class

Hashable ShortByteString 
Instance details

Defined in Data.Hashable.Class

Hashable IntSet

Since: hashable-1.3.4.0

Instance details

Defined in Data.Hashable.Class

Hashable OsString 
Instance details

Defined in Data.Hashable.Class

Hashable PosixString 
Instance details

Defined in Data.Hashable.Class

Hashable WindowsString 
Instance details

Defined in Data.Hashable.Class

Hashable BigNat 
Instance details

Defined in Data.Hashable.Class

Hashable Ordering 
Instance details

Defined in Data.Hashable.Class

Hashable OsString

Since: hashable-1.4.2.0

Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> OsString -> Int Source #

hash :: OsString -> Int Source #

Hashable PosixString

Since: hashable-1.4.2.0

Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> PosixString -> Int Source #

hash :: PosixString -> Int Source #

Hashable WindowsString

Since: hashable-1.4.2.0

Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> WindowsString -> Int Source #

hash :: WindowsString -> Int Source #

Hashable Text 
Instance details

Defined in Data.Hashable.Class

Hashable Text 
Instance details

Defined in Data.Hashable.Class

Hashable Integer 
Instance details

Defined in Data.Hashable.Class

Hashable Natural 
Instance details

Defined in Data.Hashable.Class

Hashable () 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> () -> Int Source #

hash :: () -> Int Source #

Hashable Bool 
Instance details

Defined in Data.Hashable.Class

Hashable Char 
Instance details

Defined in Data.Hashable.Class

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

Instance details

Defined in Data.Hashable.Class

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

Instance details

Defined in Data.Hashable.Class

Hashable Int 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Int -> Int Source #

hash :: Int -> Int Source #

Hashable Word 
Instance details

Defined in Data.Hashable.Class

Hashable a => Hashable (Complex a) 
Instance details

Defined in Data.Hashable.Class

Hashable a => Hashable (Identity a) 
Instance details

Defined in Data.Hashable.Class

Hashable a => Hashable (First a) 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> First a -> Int Source #

hash :: First a -> Int Source #

Hashable a => Hashable (Last a) 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Last a -> Int Source #

hash :: Last a -> Int Source #

Hashable a => Hashable (Max a) 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Max a -> Int Source #

hash :: Max a -> Int Source #

Hashable a => Hashable (Min a) 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Min a -> Int Source #

hash :: Min a -> Int Source #

Hashable a => Hashable (WrappedMonoid a) 
Instance details

Defined in Data.Hashable.Class

Hashable a => Hashable (NonEmpty a) 
Instance details

Defined in Data.Hashable.Class

Hashable (FunPtr a) 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> FunPtr a -> Int Source #

hash :: FunPtr a -> Int Source #

Hashable (Ptr a) 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Ptr a -> Int Source #

hash :: Ptr a -> Int Source #

Hashable a => Hashable (Ratio a) 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Ratio a -> Int Source #

hash :: Ratio a -> Int Source #

Hashable (StableName a) 
Instance details

Defined in Data.Hashable.Class

Hashable v => Hashable (IntMap v)

Since: hashable-1.3.4.0

Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> IntMap v -> Int Source #

hash :: IntMap v -> Int Source #

Hashable v => Hashable (Seq v)

Since: hashable-1.3.4.0

Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Seq v -> Int Source #

hash :: Seq v -> Int Source #

Hashable v => Hashable (Set v)

Since: hashable-1.3.4.0

Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Set v -> Int Source #

hash :: Set v -> Int Source #

Hashable v => Hashable (Tree v)

Since: hashable-1.3.4.0

Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Tree v -> Int Source #

hash :: Tree v -> Int Source #

Eq a => Hashable (Hashed a) 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Hashed a -> Int Source #

hash :: Hashed a -> Int Source #

Hashable a => Hashable (HashSet a) 
Instance details

Defined in Data.HashSet.Internal

Hashable a => Hashable (Maybe a) 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Maybe a -> Int Source #

hash :: Maybe a -> Int Source #

Hashable a => Hashable (a) 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> (a) -> Int Source #

hash :: (a) -> Int Source #

Hashable a => Hashable [a] 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> [a] -> Int Source #

hash :: [a] -> Int Source #

(Hashable a, Hashable b) => Hashable (Either a b) 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Either a b -> Int Source #

hash :: Either a b -> Int Source #

Hashable (Fixed a) 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Fixed a -> Int Source #

hash :: Fixed a -> Int Source #

Hashable (Proxy a) 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Proxy a -> Int Source #

hash :: Proxy a -> Int Source #

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

Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Arg a b -> Int Source #

hash :: Arg a b -> Int Source #

Hashable (TypeRep a) 
Instance details

Defined in Data.Hashable.Class

(Hashable k, Hashable v) => Hashable (Map k v)

Since: hashable-1.3.4.0

Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Map k v -> Int Source #

hash :: Map k v -> Int Source #

(Hashable k, Hashable v) => Hashable (HashMap k v) 
Instance details

Defined in Data.HashMap.Internal

Methods

hashWithSalt :: Int -> HashMap k v -> Int Source #

hash :: HashMap k v -> Int Source #

(Hashable a1, Hashable a2) => Hashable (a1, a2) 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> (a1, a2) -> Int Source #

hash :: (a1, a2) -> Int Source #

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

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Const a b -> Int Source #

hash :: Const a b -> Int Source #

(Hashable a1, Hashable a2, Hashable a3) => Hashable (a1, a2, a3) 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> (a1, a2, a3) -> Int Source #

hash :: (a1, a2, a3) -> Int Source #

(Hashable1 f, Hashable1 g, Hashable a) => Hashable (Product f g a) 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Product f g a -> Int Source #

hash :: Product f g a -> Int Source #

(Hashable1 f, Hashable1 g, Hashable a) => Hashable (Sum f g a) 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Sum f g a -> Int Source #

hash :: Sum f g a -> Int Source #

(Hashable a1, Hashable a2, Hashable a3, Hashable a4) => Hashable (a1, a2, a3, a4) 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> (a1, a2, a3, a4) -> Int Source #

hash :: (a1, a2, a3, a4) -> Int Source #

(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.

Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Compose f g a -> Int Source #

hash :: Compose f g a -> Int Source #

(Hashable a1, Hashable a2, Hashable a3, Hashable a4, Hashable a5) => Hashable (a1, a2, a3, a4, a5) 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> (a1, a2, a3, a4, a5) -> Int Source #

hash :: (a1, a2, a3, a4, a5) -> Int Source #

(Hashable a1, Hashable a2, Hashable a3, Hashable a4, Hashable a5, Hashable a6) => Hashable (a1, a2, a3, a4, a5, a6) 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> (a1, a2, a3, a4, a5, a6) -> Int Source #

hash :: (a1, a2, a3, a4, a5, a6) -> Int Source #

(Hashable a1, Hashable a2, Hashable a3, Hashable a4, Hashable a5, Hashable a6, Hashable a7) => Hashable (a1, a2, a3, a4, a5, a6, a7) 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> (a1, a2, a3, a4, a5, a6, a7) -> Int Source #

hash :: (a1, a2, a3, a4, a5, a6, a7) -> Int Source #

Numbers

data Word Source #

A Word is an unsigned integral type, with the same size as Int.

Instances

Instances details
Storable Word

Since: base-2.1

Instance details

Defined in Foreign.Storable

Bounded Word

Since: base-2.1

Instance details

Defined in GHC.Enum

Enum Word

Since: base-2.1

Instance details

Defined in GHC.Enum

Num Word

Since: base-2.1

Instance details

Defined in GHC.Num

Read Word

Since: base-4.5.0.0

Instance details

Defined in GHC.Read

Integral Word

Since: base-2.1

Instance details

Defined in GHC.Real

Real Word

Since: base-2.1

Instance details

Defined in GHC.Real

Show Word

Since: base-2.1

Instance details

Defined in GHC.Show

Eq Word 
Instance details

Defined in GHC.Classes

Methods

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

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

Ord Word 
Instance details

Defined in GHC.Classes

Hashable Word 
Instance details

Defined in Data.Hashable.Class

Unbox Word 
Instance details

Defined in Data.Vector.Unboxed.Base

Lift Word 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Word -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => Word -> Code m Word Source #

Vector Vector Word 
Instance details

Defined in Data.Vector.Unboxed.Base

MVector MVector Word 
Instance details

Defined in Data.Vector.Unboxed.Base

Generic1 (URec Word :: k -> Type) 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (URec Word) :: k -> Type Source #

Methods

from1 :: forall (a :: k0). URec Word a -> Rep1 (URec Word) a Source #

to1 :: forall (a :: k0). Rep1 (URec Word) a -> URec Word a Source #

Foldable (UWord :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UWord m -> m Source #

foldMap :: Monoid m => (a -> m) -> UWord a -> m Source #

foldMap' :: Monoid m => (a -> m) -> UWord a -> m Source #

foldr :: (a -> b -> b) -> b -> UWord a -> b Source #

foldr' :: (a -> b -> b) -> b -> UWord a -> b Source #

foldl :: (b -> a -> b) -> b -> UWord a -> b Source #

foldl' :: (b -> a -> b) -> b -> UWord a -> b Source #

foldr1 :: (a -> a -> a) -> UWord a -> a Source #

foldl1 :: (a -> a -> a) -> UWord a -> a Source #

toList :: UWord a -> [a] Source #

null :: UWord a -> Bool Source #

length :: UWord a -> Int Source #

elem :: Eq a => a -> UWord a -> Bool Source #

maximum :: Ord a => UWord a -> a Source #

minimum :: Ord a => UWord a -> a Source #

sum :: Num a => UWord a -> a Source #

product :: Num a => UWord a -> a Source #

Traversable (UWord :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => UWord (f a) -> f (UWord a) Source #

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

sequence :: Monad m => UWord (m a) -> m (UWord a) Source #

Functor (URec Word :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Word a -> URec Word b Source #

(<$) :: a -> URec Word b -> URec Word a Source #

Generic (URec Word p) 
Instance details

Defined in GHC.Generics

Associated Types

type Rep (URec Word p) :: Type -> Type Source #

Methods

from :: URec Word p -> Rep (URec Word p) x Source #

to :: Rep (URec Word p) x -> URec Word p Source #

Show (URec Word p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Eq (URec Word p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

Ord (URec Word p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

compare :: URec Word p -> URec Word p -> Ordering Source #

(<) :: URec Word p -> URec Word p -> Bool Source #

(<=) :: URec Word p -> URec Word p -> Bool Source #

(>) :: URec Word p -> URec Word p -> Bool Source #

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

max :: URec Word p -> URec Word p -> URec Word p Source #

min :: URec Word p -> URec Word p -> URec Word p Source #

newtype Vector Word 
Instance details

Defined in Data.Vector.Unboxed.Base

data URec Word (p :: k)

Used for marking occurrences of Word#

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

data URec Word (p :: k) = UWord {}
newtype MVector s Word 
Instance details

Defined in Data.Vector.Unboxed.Base

newtype MVector s Word = MV_Word (MVector s Word)
type Rep1 (URec Word :: k -> Type)

Since: base-4.9.0.0

Instance details

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)

Since: base-4.9.0.0

Instance details

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 Source #

8-bit unsigned integer type

Instances

Instances details
Storable Word8

Since: base-2.1

Instance details

Defined in Foreign.Storable

Bits Word8

Since: base-2.1

Instance details

Defined in GHC.Word

FiniteBits Word8

Since: base-4.6.0.0

Instance details

Defined in GHC.Word

Bounded Word8

Since: base-2.1

Instance details

Defined in GHC.Word

Enum Word8

Since: base-2.1

Instance details

Defined in GHC.Word

Ix Word8

Since: base-2.1

Instance details

Defined in GHC.Word

Num Word8

Since: base-2.1

Instance details

Defined in GHC.Word

Read Word8

Since: base-2.1

Instance details

Defined in GHC.Read

Integral Word8

Since: base-2.1

Instance details

Defined in GHC.Word

Real Word8

Since: base-2.1

Instance details

Defined in GHC.Word

Show Word8

Since: base-2.1

Instance details

Defined in GHC.Word

Eq Word8

Since: base-2.1

Instance details

Defined in GHC.Word

Methods

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

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

Ord Word8

Since: base-2.1

Instance details

Defined in GHC.Word

Hashable Word8 
Instance details

Defined in Data.Hashable.Class

Unbox Word8 
Instance details

Defined in Data.Vector.Unboxed.Base

Lift Word8 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Word8 -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => Word8 -> Code m Word8 Source #

Vector Vector Word8 
Instance details

Defined in Data.Vector.Unboxed.Base

MVector MVector Word8 
Instance details

Defined in Data.Vector.Unboxed.Base

newtype Vector Word8 
Instance details

Defined in Data.Vector.Unboxed.Base

newtype MVector s Word8 
Instance details

Defined in Data.Vector.Unboxed.Base

data Word32 Source #

32-bit unsigned integer type

Instances

Instances details
Storable Word32

Since: base-2.1

Instance details

Defined in Foreign.Storable

Bits Word32

Since: base-2.1

Instance details

Defined in GHC.Word

FiniteBits Word32

Since: base-4.6.0.0

Instance details

Defined in GHC.Word

Bounded Word32

Since: base-2.1

Instance details

Defined in GHC.Word

Enum Word32

Since: base-2.1

Instance details

Defined in GHC.Word

Ix Word32

Since: base-2.1

Instance details

Defined in GHC.Word

Num Word32

Since: base-2.1

Instance details

Defined in GHC.Word

Read Word32

Since: base-2.1

Instance details

Defined in GHC.Read

Integral Word32

Since: base-2.1

Instance details

Defined in GHC.Word

Real Word32

Since: base-2.1

Instance details

Defined in GHC.Word

Show Word32

Since: base-2.1

Instance details

Defined in GHC.Word

Eq Word32

Since: base-2.1

Instance details

Defined in GHC.Word

Ord Word32

Since: base-2.1

Instance details

Defined in GHC.Word

Hashable Word32 
Instance details

Defined in Data.Hashable.Class

Unbox Word32 
Instance details

Defined in Data.Vector.Unboxed.Base

Lift Word32 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Word32 -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => Word32 -> Code m Word32 Source #

Vector Vector Word32 
Instance details

Defined in Data.Vector.Unboxed.Base

MVector MVector Word32 
Instance details

Defined in Data.Vector.Unboxed.Base

newtype Vector Word32 
Instance details

Defined in Data.Vector.Unboxed.Base

newtype MVector s Word32 
Instance details

Defined in Data.Vector.Unboxed.Base

data Word64 Source #

64-bit unsigned integer type

Instances

Instances details
Storable Word64

Since: base-2.1

Instance details

Defined in Foreign.Storable

Bits Word64

Since: base-2.1

Instance details

Defined in GHC.Word

FiniteBits Word64

Since: base-4.6.0.0

Instance details

Defined in GHC.Word

Bounded Word64

Since: base-2.1

Instance details

Defined in GHC.Word

Enum Word64

Since: base-2.1

Instance details

Defined in GHC.Word

Ix Word64

Since: base-2.1

Instance details

Defined in GHC.Word

Num Word64

Since: base-2.1

Instance details

Defined in GHC.Word

Read Word64

Since: base-2.1

Instance details

Defined in GHC.Read

Integral Word64

Since: base-2.1

Instance details

Defined in GHC.Word

Real Word64

Since: base-2.1

Instance details

Defined in GHC.Word

Show Word64

Since: base-2.1

Instance details

Defined in GHC.Word

Eq Word64

Since: base-2.1

Instance details

Defined in GHC.Word

Ord Word64

Since: base-2.1

Instance details

Defined in GHC.Word

Hashable Word64 
Instance details

Defined in Data.Hashable.Class

Unbox Word64 
Instance details

Defined in Data.Vector.Unboxed.Base

Lift Word64 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Word64 -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => Word64 -> Code m Word64 Source #

Vector Vector Word64 
Instance details

Defined in Data.Vector.Unboxed.Base

MVector MVector Word64 
Instance details

Defined in Data.Vector.Unboxed.Base

newtype Vector Word64 
Instance details

Defined in Data.Vector.Unboxed.Base

newtype MVector s Word64 
Instance details

Defined in Data.Vector.Unboxed.Base

data Int Source #

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

Instances details
Storable Int

Since: base-2.1

Instance details

Defined in Foreign.Storable

Bounded Int

Since: base-2.1

Instance details

Defined in GHC.Enum

Enum Int

Since: base-2.1

Instance details

Defined in GHC.Enum

Num Int

Since: base-2.1

Instance details

Defined in GHC.Num

Read Int

Since: base-2.1

Instance details

Defined in GHC.Read

Integral Int

Since: base-2.0.1

Instance details

Defined in GHC.Real

Methods

quot :: Int -> Int -> Int Source #

rem :: Int -> Int -> Int Source #

div :: Int -> Int -> Int Source #

mod :: Int -> Int -> Int Source #

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

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

toInteger :: Int -> Integer Source #

Real Int

Since: base-2.0.1

Instance details

Defined in GHC.Real

Show Int

Since: base-2.1

Instance details

Defined in GHC.Show

Eq Int 
Instance details

Defined in GHC.Classes

Methods

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

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

Ord Int 
Instance details

Defined in GHC.Classes

Methods

compare :: Int -> Int -> Ordering Source #

(<) :: Int -> Int -> Bool Source #

(<=) :: Int -> Int -> Bool Source #

(>) :: Int -> Int -> Bool Source #

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

max :: Int -> Int -> Int Source #

min :: Int -> Int -> Int Source #

Hashable Int 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Int -> Int Source #

hash :: Int -> Int Source #

Unbox Int 
Instance details

Defined in Data.Vector.Unboxed.Base

Lift Int 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Int -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => Int -> Code m Int Source #

Vector Vector Int 
Instance details

Defined in Data.Vector.Unboxed.Base

MVector MVector Int 
Instance details

Defined in Data.Vector.Unboxed.Base

Generic1 (URec Int :: k -> Type) 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (URec Int) :: k -> Type Source #

Methods

from1 :: forall (a :: k0). URec Int a -> Rep1 (URec Int) a Source #

to1 :: forall (a :: k0). Rep1 (URec Int) a -> URec Int a Source #

Foldable (UInt :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UInt m -> m Source #

foldMap :: Monoid m => (a -> m) -> UInt a -> m Source #

foldMap' :: Monoid m => (a -> m) -> UInt a -> m Source #

foldr :: (a -> b -> b) -> b -> UInt a -> b Source #

foldr' :: (a -> b -> b) -> b -> UInt a -> b Source #

foldl :: (b -> a -> b) -> b -> UInt a -> b Source #

foldl' :: (b -> a -> b) -> b -> UInt a -> b Source #

foldr1 :: (a -> a -> a) -> UInt a -> a Source #

foldl1 :: (a -> a -> a) -> UInt a -> a Source #

toList :: UInt a -> [a] Source #

null :: UInt a -> Bool Source #

length :: UInt a -> Int Source #

elem :: Eq a => a -> UInt a -> Bool Source #

maximum :: Ord a => UInt a -> a Source #

minimum :: Ord a => UInt a -> a Source #

sum :: Num a => UInt a -> a Source #

product :: Num a => UInt a -> a Source #

Traversable (UInt :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => UInt (f a) -> f (UInt a) Source #

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

sequence :: Monad m => UInt (m a) -> m (UInt a) Source #

Functor (URec Int :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Int a -> URec Int b Source #

(<$) :: a -> URec Int b -> URec Int a Source #

Generic (URec Int p) 
Instance details

Defined in GHC.Generics

Associated Types

type Rep (URec Int p) :: Type -> Type Source #

Methods

from :: URec Int p -> Rep (URec Int p) x Source #

to :: Rep (URec Int p) x -> URec Int p Source #

Show (URec Int p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Eq (URec Int p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

Ord (URec Int p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

compare :: URec Int p -> URec Int p -> Ordering Source #

(<) :: URec Int p -> URec Int p -> Bool Source #

(<=) :: URec Int p -> URec Int p -> Bool Source #

(>) :: URec Int p -> URec Int p -> Bool Source #

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

max :: URec Int p -> URec Int p -> URec Int p Source #

min :: URec Int p -> URec Int p -> URec Int p Source #

newtype Vector Int 
Instance details

Defined in Data.Vector.Unboxed.Base

newtype Vector Int = V_Int (Vector Int)
data URec Int (p :: k)

Used for marking occurrences of Int#

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

data URec Int (p :: k) = UInt {}
newtype MVector s Int 
Instance details

Defined in Data.Vector.Unboxed.Base

newtype MVector s Int = MV_Int (MVector s Int)
type Rep1 (URec Int :: k -> Type)

Since: base-4.9.0.0

Instance details

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)

Since: base-4.9.0.0

Instance details

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 Int32 Source #

32-bit signed integer type

Instances

Instances details
Storable Int32

Since: base-2.1

Instance details

Defined in Foreign.Storable

Bits Int32

Since: base-2.1

Instance details

Defined in GHC.Int

FiniteBits Int32

Since: base-4.6.0.0

Instance details

Defined in GHC.Int

Bounded Int32

Since: base-2.1

Instance details

Defined in GHC.Int

Enum Int32

Since: base-2.1

Instance details

Defined in GHC.Int

Ix Int32

Since: base-2.1

Instance details

Defined in GHC.Int

Num Int32

Since: base-2.1

Instance details

Defined in GHC.Int

Read Int32

Since: base-2.1

Instance details

Defined in GHC.Int

Integral Int32

Since: base-2.1

Instance details

Defined in GHC.Int

Real Int32

Since: base-2.1

Instance details

Defined in GHC.Int

Show Int32

Since: base-2.1

Instance details

Defined in GHC.Int

Eq Int32

Since: base-2.1

Instance details

Defined in GHC.Int

Methods

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

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

Ord Int32

Since: base-2.1

Instance details

Defined in GHC.Int

Hashable Int32 
Instance details

Defined in Data.Hashable.Class

Unbox Int32 
Instance details

Defined in Data.Vector.Unboxed.Base

Lift Int32 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Int32 -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => Int32 -> Code m Int32 Source #

Vector Vector Int32 
Instance details

Defined in Data.Vector.Unboxed.Base

MVector MVector Int32 
Instance details

Defined in Data.Vector.Unboxed.Base

newtype Vector Int32 
Instance details

Defined in Data.Vector.Unboxed.Base

newtype MVector s Int32 
Instance details

Defined in Data.Vector.Unboxed.Base

data Int64 Source #

64-bit signed integer type

Instances

Instances details
Storable Int64

Since: base-2.1

Instance details

Defined in Foreign.Storable

Bits Int64

Since: base-2.1

Instance details

Defined in GHC.Int

FiniteBits Int64

Since: base-4.6.0.0

Instance details

Defined in GHC.Int

Bounded Int64

Since: base-2.1

Instance details

Defined in GHC.Int

Enum Int64

Since: base-2.1

Instance details

Defined in GHC.Int

Ix Int64

Since: base-2.1

Instance details

Defined in GHC.Int

Num Int64

Since: base-2.1

Instance details

Defined in GHC.Int

Read Int64

Since: base-2.1

Instance details

Defined in GHC.Int

Integral Int64

Since: base-2.1

Instance details

Defined in GHC.Int

Real Int64

Since: base-2.1

Instance details

Defined in GHC.Int

Show Int64

Since: base-2.1

Instance details

Defined in GHC.Int

Eq Int64

Since: base-2.1

Instance details

Defined in GHC.Int

Methods

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

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

Ord Int64

Since: base-2.1

Instance details

Defined in GHC.Int

Hashable Int64 
Instance details

Defined in Data.Hashable.Class

Unbox Int64 
Instance details

Defined in Data.Vector.Unboxed.Base

Lift Int64 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Int64 -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => Int64 -> Code m Int64 Source #

Vector Vector Int64 
Instance details

Defined in Data.Vector.Unboxed.Base

MVector MVector Int64 
Instance details

Defined in Data.Vector.Unboxed.Base

newtype Vector Int64 
Instance details

Defined in Data.Vector.Unboxed.Base

newtype MVector s Int64 
Instance details

Defined in Data.Vector.Unboxed.Base

data Integer Source #

Arbitrary precision integers. In contrast with fixed-size integral types such as Int, the Integer type represents the entire infinite range of integers.

Integers are stored in a kind of sign-magnitude form, hence do not expect two's complement form when using bit operations.

If the value is small (fit into an Int), IS constructor is used. Otherwise Integer and IN constructors are used to store a BigNat representing respectively the positive or the negative value magnitude.

Invariant: Integer and IN are used iff value doesn't fit in IS

Instances

Instances details
Enum Integer

Since: base-2.1

Instance details

Defined in GHC.Enum

Num Integer

Since: base-2.1

Instance details

Defined in GHC.Num

Read Integer

Since: base-2.1

Instance details

Defined in GHC.Read

Integral Integer

Since: base-2.0.1

Instance details

Defined in GHC.Real

Real Integer

Since: base-2.0.1

Instance details

Defined in GHC.Real

Show Integer

Since: base-2.1

Instance details

Defined in GHC.Show

Eq Integer 
Instance details

Defined in GHC.Num.Integer

Ord Integer 
Instance details

Defined in GHC.Num.Integer

Hashable Integer 
Instance details

Defined in Data.Hashable.Class

Lift Integer 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Integer -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => Integer -> Code m Integer Source #

type Rational = Ratio Integer Source #

Arbitrary-precision rational numbers, represented as a ratio of two Integer values. A rational number may be constructed using the % operator.

data Float Source #

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.

Instances

Instances details
Storable Float

Since: base-2.1

Instance details

Defined in Foreign.Storable

Floating Float

Since: base-2.1

Instance details

Defined in GHC.Float

RealFloat Float

Since: base-2.1

Instance details

Defined in GHC.Float

Read Float

Since: base-2.1

Instance details

Defined in GHC.Read

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 extensionality:

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

Defined in GHC.Classes

Methods

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

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

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
Instance details

Defined in GHC.Classes

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

Instance details

Defined in Data.Hashable.Class

Unbox Float 
Instance details

Defined in Data.Vector.Unboxed.Base

Lift Float 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Float -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => Float -> Code m Float Source #

Vector Vector Float 
Instance details

Defined in Data.Vector.Unboxed.Base

MVector MVector Float 
Instance details

Defined in Data.Vector.Unboxed.Base

Generic1 (URec Float :: k -> Type) 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (URec Float) :: k -> Type Source #

Methods

from1 :: forall (a :: k0). URec Float a -> Rep1 (URec Float) a Source #

to1 :: forall (a :: k0). Rep1 (URec Float) a -> URec Float a Source #

Foldable (UFloat :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UFloat m -> m Source #

foldMap :: Monoid m => (a -> m) -> UFloat a -> m Source #

foldMap' :: Monoid m => (a -> m) -> UFloat a -> m Source #

foldr :: (a -> b -> b) -> b -> UFloat a -> b Source #

foldr' :: (a -> b -> b) -> b -> UFloat a -> b Source #

foldl :: (b -> a -> b) -> b -> UFloat a -> b Source #

foldl' :: (b -> a -> b) -> b -> UFloat a -> b Source #

foldr1 :: (a -> a -> a) -> UFloat a -> a Source #

foldl1 :: (a -> a -> a) -> UFloat a -> a Source #

toList :: UFloat a -> [a] Source #

null :: UFloat a -> Bool Source #

length :: UFloat a -> Int Source #

elem :: Eq a => a -> UFloat a -> Bool Source #

maximum :: Ord a => UFloat a -> a Source #

minimum :: Ord a => UFloat a -> a Source #

sum :: Num a => UFloat a -> a Source #

product :: Num a => UFloat a -> a Source #

Traversable (UFloat :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => UFloat (f a) -> f (UFloat a) Source #

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

sequence :: Monad m => UFloat (m a) -> m (UFloat a) Source #

Functor (URec Float :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Float a -> URec Float b Source #

(<$) :: a -> URec Float b -> URec Float a Source #

Generic (URec Float p) 
Instance details

Defined in GHC.Generics

Associated Types

type Rep (URec Float p) :: Type -> Type Source #

Methods

from :: URec Float p -> Rep (URec Float p) x Source #

to :: Rep (URec Float p) x -> URec Float p Source #

Show (URec Float p) 
Instance details

Defined in GHC.Generics

Eq (URec Float p) 
Instance details

Defined in GHC.Generics

Methods

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

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

Ord (URec Float p) 
Instance details

Defined in GHC.Generics

newtype Vector Float 
Instance details

Defined in Data.Vector.Unboxed.Base

data URec Float (p :: k)

Used for marking occurrences of Float#

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

data URec Float (p :: k) = UFloat {}
newtype MVector s Float 
Instance details

Defined in Data.Vector.Unboxed.Base

type Rep1 (URec Float :: k -> Type)

Since: base-4.9.0.0

Instance details

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) 
Instance details

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 Double Source #

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.

Instances

Instances details
Storable Double

Since: base-2.1

Instance details

Defined in Foreign.Storable

Floating Double

Since: base-2.1

Instance details

Defined in GHC.Float

RealFloat Double

Since: base-2.1

Instance details

Defined in GHC.Float

Read Double

Since: base-2.1

Instance details

Defined in GHC.Read

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
Instance details

Defined in GHC.Classes

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
Instance details

Defined in GHC.Classes

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

Instance details

Defined in Data.Hashable.Class

Unbox Double 
Instance details

Defined in Data.Vector.Unboxed.Base

Lift Double 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Double -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => Double -> Code m Double Source #

Vector Vector Double 
Instance details

Defined in Data.Vector.Unboxed.Base

MVector MVector Double 
Instance details

Defined in Data.Vector.Unboxed.Base

Generic1 (URec Double :: k -> Type) 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (URec Double) :: k -> Type Source #

Methods

from1 :: forall (a :: k0). URec Double a -> Rep1 (URec Double) a Source #

to1 :: forall (a :: k0). Rep1 (URec Double) a -> URec Double a Source #

Foldable (UDouble :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UDouble m -> m Source #

foldMap :: Monoid m => (a -> m) -> UDouble a -> m Source #

foldMap' :: Monoid m => (a -> m) -> UDouble a -> m Source #

foldr :: (a -> b -> b) -> b -> UDouble a -> b Source #

foldr' :: (a -> b -> b) -> b -> UDouble a -> b Source #

foldl :: (b -> a -> b) -> b -> UDouble a -> b Source #

foldl' :: (b -> a -> b) -> b -> UDouble a -> b Source #

foldr1 :: (a -> a -> a) -> UDouble a -> a Source #

foldl1 :: (a -> a -> a) -> UDouble a -> a Source #

toList :: UDouble a -> [a] Source #

null :: UDouble a -> Bool Source #

length :: UDouble a -> Int Source #

elem :: Eq a => a -> UDouble a -> Bool Source #

maximum :: Ord a => UDouble a -> a Source #

minimum :: Ord a => UDouble a -> a Source #

sum :: Num a => UDouble a -> a Source #

product :: Num a => UDouble a -> a Source #

Traversable (UDouble :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => UDouble (f a) -> f (UDouble a) Source #

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

sequence :: Monad m => UDouble (m a) -> m (UDouble a) Source #

Functor (URec Double :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Double a -> URec Double b Source #

(<$) :: a -> URec Double b -> URec Double a Source #

Generic (URec Double p) 
Instance details

Defined in GHC.Generics

Associated Types

type Rep (URec Double p) :: Type -> Type Source #

Methods

from :: URec Double p -> Rep (URec Double p) x Source #

to :: Rep (URec Double p) x -> URec Double p Source #

Show (URec Double p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Eq (URec Double p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

Ord (URec Double p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

newtype Vector Double 
Instance details

Defined in Data.Vector.Unboxed.Base

data URec Double (p :: k)

Used for marking occurrences of Double#

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

data URec Double (p :: k) = UDouble {}
newtype MVector s Double 
Instance details

Defined in Data.Vector.Unboxed.Base

type Rep1 (URec Double :: k -> Type)

Since: base-4.9.0.0

Instance details

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)

Since: base-4.9.0.0

Instance details

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)))

Numeric functions

(^) :: (Num a, Integral b) => a -> b -> a infixr 8 Source #

raise a number to a non-negative integral power

(^^) :: (Fractional a, Integral b) => a -> b -> a infixr 8 Source #

raise a number to an integral power

subtract :: Num a => a -> a -> a Source #

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.

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

General coercion from Integral types.

WARNING: This function performs silent truncation if the result type is not at least as big as the argument's type.

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

General coercion to Fractional types.

WARNING: This function goes through the Rational type, which does not have values for NaN for example. This means it does not round-trip.

For Double it also behaves differently with or without -O0:

Prelude> realToFrac nan -- With -O0
-Infinity
Prelude> realToFrac nan
NaN

Monoids

class Semigroup a => Monoid a where Source #

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

You can alternatively define mconcat instead of mempty, in which case the laws are:

Unit
mconcat (pure x) = x
Multiplication
mconcat (join xss) = mconcat (fmap mconcat xss)
Subclass
mconcat (toList xs) = sconcat xs

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 | mconcat

Methods

mempty :: a Source #

Identity of mappend

Examples

Expand
>>> "Hello world" <> mempty
"Hello world"
>>> mempty <> [1, 2, 3]
[1,2,3]

mappend :: a -> a -> a Source #

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 Source #

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

Instances details
Monoid ByteString 
Instance details

Defined in Data.ByteString.Internal.Type

Monoid ByteString 
Instance details

Defined in Data.ByteString.Lazy.Internal

Monoid ShortByteString 
Instance details

Defined in Data.ByteString.Short.Internal

Monoid IntSet 
Instance details

Defined in Data.IntSet.Internal

Monoid OsString

"String-Concatenation" for OsString. This is not the same as (</>).

Instance details

Defined in System.OsString.Internal.Types.Hidden

Monoid PosixString 
Instance details

Defined in System.OsString.Internal.Types.Hidden

Monoid WindowsString 
Instance details

Defined in System.OsString.Internal.Types.Hidden

Monoid Ordering

Since: base-2.1

Instance details

Defined in GHC.Base

Monoid OsString 
Instance details

Defined in System.OsString.Internal.Types

Methods

mempty :: OsString Source #

mappend :: OsString -> OsString -> OsString Source #

mconcat :: [OsString] -> OsString Source #

Monoid PosixString 
Instance details

Defined in System.OsString.Internal.Types

Methods

mempty :: PosixString Source #

mappend :: PosixString -> PosixString -> PosixString Source #

mconcat :: [PosixString] -> PosixString Source #

Monoid WindowsString 
Instance details

Defined in System.OsString.Internal.Types

Methods

mempty :: WindowsString Source #

mappend :: WindowsString -> WindowsString -> WindowsString Source #

mconcat :: [WindowsString] -> WindowsString Source #

Monoid Doc 
Instance details

Defined in Text.PrettyPrint.HughesPJ

Monoid ()

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mempty :: () Source #

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

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

Monoid (First a)

Since: base-2.1

Instance details

Defined in Data.Monoid

Methods

mempty :: First a Source #

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

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

Monoid (Last a)

Since: base-2.1

Instance details

Defined in Data.Monoid

Methods

mempty :: Last a Source #

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

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

Monoid a => Monoid (Down a)

Since: base-4.11.0.0

Instance details

Defined in Data.Ord

Methods

mempty :: Down a Source #

mappend :: Down a -> Down a -> Down a Source #

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

(Generic a, Monoid (Rep a ())) => Monoid (Generically a)

Since: base-4.17.0.0

Instance details

Defined in GHC.Generics

Monoid p => Monoid (Par1 p)

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

Methods

mempty :: Par1 p Source #

mappend :: Par1 p -> Par1 p -> Par1 p Source #

mconcat :: [Par1 p] -> Par1 p Source #

Monoid (IntMap a) 
Instance details

Defined in Data.IntMap.Internal

Monoid (Seq a) 
Instance details

Defined in Data.Sequence.Internal

Methods

mempty :: Seq a Source #

mappend :: Seq a -> Seq a -> Seq a Source #

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

Monoid (MergeSet a) 
Instance details

Defined in Data.Set.Internal

Methods

mempty :: MergeSet a Source #

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

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

Ord a => Monoid (Set a) 
Instance details

Defined in Data.Set.Internal

Methods

mempty :: Set a Source #

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

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

Monoid a => Monoid (IO a)

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

mempty :: IO a Source #

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

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

Monoid (Doc a) 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

mempty :: Doc a Source #

mappend :: Doc a -> Doc a -> Doc a Source #

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

Monoid (Array a) 
Instance details

Defined in Data.Primitive.Array

Methods

mempty :: Array a Source #

mappend :: Array a -> Array a -> Array a Source #

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

Monoid (PrimArray a) 
Instance details

Defined in Data.Primitive.PrimArray

Methods

mempty :: PrimArray a Source #

mappend :: PrimArray a -> PrimArray a -> PrimArray a Source #

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

Monoid (SmallArray a) 
Instance details

Defined in Data.Primitive.SmallArray

Methods

mempty :: SmallArray a Source #

mappend :: SmallArray a -> SmallArray a -> SmallArray a Source #

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

Monoid a => Monoid (Q a)

Since: template-haskell-2.17.0.0

Instance details

Defined in Language.Haskell.TH.Syntax

Methods

mempty :: Q a Source #

mappend :: Q a -> Q a -> Q a Source #

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

(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

Expand
>>> mappend (fromList [1,2]) (fromList [2,3])
fromList [1,2,3]
Instance details

Defined in Data.HashSet.Internal

Monoid (Vector a) 
Instance details

Defined in Data.Vector

Prim a => Monoid (Vector a) 
Instance details

Defined in Data.Vector.Primitive

Storable a => Monoid (Vector a) 
Instance details

Defined in Data.Vector.Storable

Semigroup a => Monoid (Maybe a)

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

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

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mempty :: Maybe a Source #

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

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

Monoid a => Monoid (a)

Since: base-4.15

Instance details

Defined in GHC.Base

Methods

mempty :: (a) Source #

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

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

Monoid [a]

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mempty :: [a] Source #

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

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

Monoid (U1 p)

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

Methods

mempty :: U1 p Source #

mappend :: U1 p -> U1 p -> U1 p Source #

mconcat :: [U1 p] -> U1 p Source #

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

Defined in Data.Map.Internal

Methods

mempty :: Map k v Source #

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

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

(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

Expand
>>> mappend (fromList [(1,'a'),(2,'b')]) (fromList [(2,'c'),(3,'d')])
fromList [(1,'a'),(2,'b'),(3,'d')]
Instance details

Defined in Data.HashMap.Internal

Methods

mempty :: HashMap k v Source #

mappend :: HashMap k v -> HashMap k v -> HashMap k v Source #

mconcat :: [HashMap k v] -> HashMap k v Source #

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

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mempty :: (a, b) Source #

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

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

Monoid b => Monoid (a -> b)

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mempty :: a -> b Source #

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

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

Monoid a => Monoid (Const a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Methods

mempty :: Const a b Source #

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

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

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

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

mempty :: Ap f a Source #

mappend :: Ap f a -> Ap f a -> Ap f a Source #

mconcat :: [Ap f a] -> Ap f a Source #

Monoid (f p) => Monoid (Rec1 f p)

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

Methods

mempty :: Rec1 f p Source #

mappend :: Rec1 f p -> Rec1 f p -> Rec1 f p Source #

mconcat :: [Rec1 f p] -> Rec1 f p Source #

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

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

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

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

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

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

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

Methods

mempty :: (f :*: g) p Source #

mappend :: (f :*: g) p -> (f :*: g) p -> (f :*: g) p Source #

mconcat :: [(f :*: g) p] -> (f :*: g) p Source #

Monoid c => Monoid (K1 i c p)

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

Methods

mempty :: K1 i c p Source #

mappend :: K1 i c p -> K1 i c p -> K1 i c p Source #

mconcat :: [K1 i c p] -> K1 i c p Source #

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

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

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

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

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

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

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

Methods

mempty :: (f :.: g) p Source #

mappend :: (f :.: g) p -> (f :.: g) p -> (f :.: g) p Source #

mconcat :: [(f :.: g) p] -> (f :.: g) p Source #

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

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

Methods

mempty :: M1 i c f p Source #

mappend :: M1 i c f p -> M1 i c f p -> M1 i c f p Source #

mconcat :: [M1 i c f p] -> M1 i c f p Source #

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

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

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

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

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

(<>) :: Semigroup a => a -> a -> a infixr 6 Source #

An associative operation.

Examples

Expand
>>> [1,2,3] <> [4,5,6]
[1,2,3,4,5,6]
>>> Just [1, 2, 3] <> Just [4, 5, 6]
Just [1,2,3,4,5,6]
>>> putStr "Hello, " <> putStrLn "World!"
Hello, World!

Folds and traversals

class Foldable (t :: Type -> Type) Source #

The Foldable class represents data structures that can be reduced to a summary value one element at a time. Strict left-associative folds are a good fit for space-efficient reduction, while lazy right-associative folds are a good fit for corecursive iteration, or for folds that short-circuit after processing an initial subsequence of the structure's elements.

Instances can be derived automatically by enabling the DeriveFoldable extension. For example, a derived instance for a binary tree might be:

{-# LANGUAGE DeriveFoldable #-}
data Tree a = Empty
            | Leaf a
            | Node (Tree a) a (Tree a)
    deriving Foldable

A more detailed description can be found in the Overview section of Data.Foldable.

For the class laws see the Laws section of Data.Foldable.

Minimal complete definition

foldMap | foldr

Instances

Instances details
Foldable ZipList

Since: base-4.9.0.0

Instance details

Defined in Control.Applicative

Methods

fold :: Monoid m => ZipList m -> m Source #

foldMap :: Monoid m => (a -> m) -> ZipList a -> m Source #

foldMap' :: Monoid m => (a -> m) -> ZipList a -> m Source #

foldr :: (a -> b -> b) -> b -> ZipList a -> b Source #

foldr' :: (a -> b -> b) -> b -> ZipList a -> b Source #

foldl :: (b -> a -> b) -> b -> ZipList a -> b Source #

foldl' :: (b -> a -> b) -> b -> ZipList a -> b Source #

foldr1 :: (a -> a -> a) -> ZipList a -> a Source #

foldl1 :: (a -> a -> a) -> ZipList a -> a Source #

toList :: ZipList a -> [a] Source #

null :: ZipList a -> Bool Source #

length :: ZipList a -> Int Source #

elem :: Eq a => a -> ZipList a -> Bool Source #

maximum :: Ord a => ZipList a -> a Source #

minimum :: Ord a => ZipList a -> a Source #

sum :: Num a => ZipList a -> a Source #

product :: Num a => ZipList a -> a Source #

Foldable First

Since: base-4.8.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => First m -> m Source #

foldMap :: Monoid m => (a -> m) -> First a -> m Source #

foldMap' :: Monoid m => (a -> m) -> First a -> m Source #

foldr :: (a -> b -> b) -> b -> First a -> b Source #

foldr' :: (a -> b -> b) -> b -> First a -> b Source #

foldl :: (b -> a -> b) -> b -> First a -> b Source #

foldl' :: (b -> a -> b) -> b -> First a -> b Source #

foldr1 :: (a -> a -> a) -> First a -> a Source #

foldl1 :: (a -> a -> a) -> First a -> a Source #

toList :: First a -> [a] Source #

null :: First a -> Bool Source #

length :: First a -> Int Source #

elem :: Eq a => a -> First a -> Bool Source #

maximum :: Ord a => First a -> a Source #

minimum :: Ord a => First a -> a Source #

sum :: Num a => First a -> a Source #

product :: Num a => First a -> a Source #

Foldable Last

Since: base-4.8.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Last m -> m Source #

foldMap :: Monoid m => (a -> m) -> Last a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Last a -> m Source #

foldr :: (a -> b -> b) -> b -> Last a -> b Source #

foldr' :: (a -> b -> b) -> b -> Last a -> b Source #

foldl :: (b -> a -> b) -> b -> Last a -> b Source #

foldl' :: (b -> a -> b) -> b -> Last a -> b Source #

foldr1 :: (a -> a -> a) -> Last a -> a Source #

foldl1 :: (a -> a -> a) -> Last a -> a Source #

toList :: Last a -> [a] Source #

null :: Last a -> Bool Source #

length :: Last a -> Int Source #

elem :: Eq a => a -> Last a -> Bool Source #

maximum :: Ord a => Last a -> a Source #

minimum :: Ord a => Last a -> a Source #

sum :: Num a => Last a -> a Source #

product :: Num a => Last a -> a Source #

Foldable Down

Since: base-4.12.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Down m -> m Source #

foldMap :: Monoid m => (a -> m) -> Down a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Down a -> m Source #

foldr :: (a -> b -> b) -> b -> Down a -> b Source #

foldr' :: (a -> b -> b) -> b -> Down a -> b Source #

foldl :: (b -> a -> b) -> b -> Down a -> b Source #

foldl' :: (b -> a -> b) -> b -> Down a -> b Source #

foldr1 :: (a -> a -> a) -> Down a -> a Source #

foldl1 :: (a -> a -> a) -> Down a -> a Source #

toList :: Down a -> [a] Source #

null :: Down a -> Bool Source #

length :: Down a -> Int Source #

elem :: Eq a => a -> Down a -> Bool Source #

maximum :: Ord a => Down a -> a Source #

minimum :: Ord a => Down a -> a Source #

sum :: Num a => Down a -> a Source #

product :: Num a => Down a -> a Source #

Foldable Dual

Since: base-4.8.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Dual m -> m Source #

foldMap :: Monoid m => (a -> m) -> Dual a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Dual a -> m Source #

foldr :: (a -> b -> b) -> b -> Dual a -> b Source #

foldr' :: (a -> b -> b) -> b -> Dual a -> b Source #

foldl :: (b -> a -> b) -> b -> Dual a -> b Source #

foldl' :: (b -> a -> b) -> b -> Dual a -> b Source #

foldr1 :: (a -> a -> a) -> Dual a -> a Source #

foldl1 :: (a -> a -> a) -> Dual a -> a Source #

toList :: Dual a -> [a] Source #

null :: Dual a -> Bool Source #

length :: Dual a -> Int Source #

elem :: Eq a => a -> Dual a -> Bool Source #

maximum :: Ord a => Dual a -> a Source #

minimum :: Ord a => Dual a -> a Source #

sum :: Num a => Dual a -> a Source #

product :: Num a => Dual a -> a Source #

Foldable Product

Since: base-4.8.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Product m -> m Source #

foldMap :: Monoid m => (a -> m) -> Product a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Product a -> m Source #

foldr :: (a -> b -> b) -> b -> Product a -> b Source #

foldr' :: (a -> b -> b) -> b -> Product a -> b Source #

foldl :: (b -> a -> b) -> b -> Product a -> b Source #

foldl' :: (b -> a -> b) -> b -> Product a -> b Source #

foldr1 :: (a -> a -> a) -> Product a -> a Source #

foldl1 :: (a -> a -> a) -> Product a -> a Source #

toList :: Product a -> [a] Source #

null :: Product a -> Bool Source #

length :: Product a -> Int Source #

elem :: Eq a => a -> Product a -> Bool Source #

maximum :: Ord a => Product a -> a Source #

minimum :: Ord a => Product a -> a Source #

sum :: Num a => Product a -> a Source #

product :: Num a => Product a -> a Source #

Foldable Sum

Since: base-4.8.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Sum m -> m Source #

foldMap :: Monoid m => (a -> m) -> Sum a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Sum a -> m Source #

foldr :: (a -> b -> b) -> b -> Sum a -> b Source #

foldr' :: (a -> b -> b) -> b -> Sum a -> b Source #

foldl :: (b -> a -> b) -> b -> Sum a -> b Source #

foldl' :: (b -> a -> b) -> b -> Sum a -> b Source #

foldr1 :: (a -> a -> a) -> Sum a -> a Source #

foldl1 :: (a -> a -> a) -> Sum a -> a Source #

toList :: Sum a -> [a] Source #

null :: Sum a -> Bool Source #

length :: Sum a -> Int Source #

elem :: Eq a => a -> Sum a -> Bool Source #

maximum :: Ord a => Sum a -> a Source #

minimum :: Ord a => Sum a -> a Source #

sum :: Num a => Sum a -> a Source #

product :: Num a => Sum a -> a Source #

Foldable NonEmpty

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => NonEmpty m -> m Source #

foldMap :: Monoid m => (a -> m) -> NonEmpty a -> m Source #

foldMap' :: Monoid m => (a -> m) -> NonEmpty a -> m Source #

foldr :: (a -> b -> b) -> b -> NonEmpty a -> b Source #

foldr' :: (a -> b -> b) -> b -> NonEmpty a -> b Source #

foldl :: (b -> a -> b) -> b -> NonEmpty a -> b Source #

foldl' :: (b -> a -> b) -> b -> NonEmpty a -> b Source #

foldr1 :: (a -> a -> a) -> NonEmpty a -> a Source #

foldl1 :: (a -> a -> a) -> NonEmpty a -> a Source #

toList :: NonEmpty a -> [a] Source #

null :: NonEmpty a -> Bool Source #

length :: NonEmpty a -> Int Source #

elem :: Eq a => a -> NonEmpty a -> Bool Source #

maximum :: Ord a => NonEmpty a -> a Source #

minimum :: Ord a => NonEmpty a -> a Source #

sum :: Num a => NonEmpty a -> a Source #

product :: Num a => NonEmpty a -> a Source #

Foldable Par1

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Par1 m -> m Source #

foldMap :: Monoid m => (a -> m) -> Par1 a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Par1 a -> m Source #

foldr :: (a -> b -> b) -> b -> Par1 a -> b Source #

foldr' :: (a -> b -> b) -> b -> Par1 a -> b Source #

foldl :: (b -> a -> b) -> b -> Par1 a -> b Source #

foldl' :: (b -> a -> b) -> b -> Par1 a -> b Source #

foldr1 :: (a -> a -> a) -> Par1 a -> a Source #

foldl1 :: (a -> a -> a) -> Par1 a -> a Source #

toList :: Par1 a -> [a] Source #

null :: Par1 a -> Bool Source #

length :: Par1 a -> Int Source #

elem :: Eq a => a -> Par1 a -> Bool Source #

maximum :: Ord a => Par1 a -> a Source #

minimum :: Ord a => Par1 a -> a Source #

sum :: Num a => Par1 a -> a Source #

product :: Num a => Par1 a -> a Source #

Foldable IntMap

Folds in order of increasing key.

Instance details

Defined in Data.IntMap.Internal

Methods

fold :: Monoid m => IntMap m -> m Source #

foldMap :: Monoid m => (a -> m) -> IntMap a -> m Source #

foldMap' :: Monoid m => (a -> m) -> IntMap a -> m Source #

foldr :: (a -> b -> b) -> b -> IntMap a -> b Source #

foldr' :: (a -> b -> b) -> b -> IntMap a -> b Source #

foldl :: (b -> a -> b) -> b -> IntMap a -> b Source #

foldl' :: (b -> a -> b) -> b -> IntMap a -> b Source #

foldr1 :: (a -> a -> a) -> IntMap a -> a Source #

foldl1 :: (a -> a -> a) -> IntMap a -> a Source #

toList :: IntMap a -> [a] Source #

null :: IntMap a -> Bool Source #

length :: IntMap a -> Int Source #

elem :: Eq a => a -> IntMap a -> Bool Source #

maximum :: Ord a => IntMap a -> a Source #

minimum :: Ord a => IntMap a -> a Source #

sum :: Num a => IntMap a -> a Source #

product :: Num a => IntMap a -> a Source #

Foldable Digit 
Instance details

Defined in Data.Sequence.Internal

Methods

fold :: Monoid m => Digit m -> m Source #

foldMap :: Monoid m => (a -> m) -> Digit a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Digit a -> m Source #

foldr :: (a -> b -> b) -> b -> Digit a -> b Source #

foldr' :: (a -> b -> b) -> b -> Digit a -> b Source #

foldl :: (b -> a -> b) -> b -> Digit a -> b Source #

foldl' :: (b -> a -> b) -> b -> Digit a -> b Source #

foldr1 :: (a -> a -> a) -> Digit a -> a Source #

foldl1 :: (a -> a -> a) -> Digit a -> a Source #

toList :: Digit a -> [a] Source #

null :: Digit a -> Bool Source #

length :: Digit a -> Int Source #

elem :: Eq a => a -> Digit a -> Bool Source #

maximum :: Ord a => Digit a -> a Source #

minimum :: Ord a => Digit a -> a Source #

sum :: Num a => Digit a -> a Source #

product :: Num a => Digit a -> a Source #

Foldable Elem 
Instance details

Defined in Data.Sequence.Internal

Methods

fold :: Monoid m => Elem m -> m Source #

foldMap :: Monoid m => (a -> m) -> Elem a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Elem a -> m Source #

foldr :: (a -> b -> b) -> b -> Elem a -> b Source #

foldr' :: (a -> b -> b) -> b -> Elem a -> b Source #

foldl :: (b -> a -> b) -> b -> Elem a -> b Source #

foldl' :: (b -> a -> b) -> b -> Elem a -> b Source #

foldr1 :: (a -> a -> a) -> Elem a -> a Source #

foldl1 :: (a -> a -> a) -> Elem a -> a Source #

toList :: Elem a -> [a] Source #

null :: Elem a -> Bool Source #

length :: Elem a -> Int Source #

elem :: Eq a => a -> Elem a -> Bool Source #

maximum :: Ord a => Elem a -> a Source #

minimum :: Ord a => Elem a -> a Source #

sum :: Num a => Elem a -> a Source #

product :: Num a => Elem a -> a Source #

Foldable FingerTree 
Instance details

Defined in Data.Sequence.Internal

Methods

fold :: Monoid m => FingerTree m -> m Source #

foldMap :: Monoid m => (a -> m) -> FingerTree a -> m Source #

foldMap' :: Monoid m => (a -> m) -> FingerTree a -> m Source #

foldr :: (a -> b -> b) -> b -> FingerTree a -> b Source #

foldr' :: (a -> b -> b) -> b -> FingerTree a -> b Source #

foldl :: (b -> a -> b) -> b -> FingerTree a -> b Source #

foldl' :: (b -> a -> b) -> b -> FingerTree a -> b Source #

foldr1 :: (a -> a -> a) -> FingerTree a -> a Source #

foldl1 :: (a -> a -> a) -> FingerTree a -> a Source #

toList :: FingerTree a -> [a] Source #

null :: FingerTree a -> Bool Source #

length :: FingerTree a -> Int Source #

elem :: Eq a => a -> FingerTree a -> Bool Source #

maximum :: Ord a => FingerTree a -> a Source #

minimum :: Ord a => FingerTree a -> a Source #

sum :: Num a => FingerTree a -> a Source #

product :: Num a => FingerTree a -> a Source #

Foldable Node 
Instance details

Defined in Data.Sequence.Internal

Methods

fold :: Monoid m => Node m -> m Source #

foldMap :: Monoid m => (a -> m) -> Node a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Node a -> m Source #

foldr :: (a -> b -> b) -> b -> Node a -> b Source #

foldr' :: (a -> b -> b) -> b -> Node a -> b Source #

foldl :: (b -> a -> b) -> b -> Node a -> b Source #

foldl' :: (b -> a -> b) -> b -> Node a -> b Source #

foldr1 :: (a -> a -> a) -> Node a -> a Source #

foldl1 :: (a -> a -> a) -> Node a -> a Source #

toList :: Node a -> [a] Source #

null :: Node a -> Bool Source #

length :: Node a -> Int Source #

elem :: Eq a => a -> Node a -> Bool Source #

maximum :: Ord a => Node a -> a Source #

minimum :: Ord a => Node a -> a Source #

sum :: Num a => Node a -> a Source #

product :: Num a => Node a -> a Source #

Foldable Seq 
Instance details

Defined in Data.Sequence.Internal

Methods

fold :: Monoid m => Seq m -> m Source #

foldMap :: Monoid m => (a -> m) -> Seq a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Seq a -> m Source #

foldr :: (a -> b -> b) -> b -> Seq a -> b Source #

foldr' :: (a -> b -> b) -> b -> Seq a -> b Source #

foldl :: (b -> a -> b) -> b -> Seq a -> b Source #

foldl' :: (b -> a -> b) -> b -> Seq a -> b Source #

foldr1 :: (a -> a -> a) -> Seq a -> a Source #

foldl1 :: (a -> a -> a) -> Seq a -> a Source #

toList :: Seq a -> [a] Source #

null :: Seq a -> Bool Source #

length :: Seq a -> Int Source #

elem :: Eq a => a -> Seq a -> Bool Source #

maximum :: Ord a => Seq a -> a Source #

minimum :: Ord a => Seq a -> a Source #

sum :: Num a => Seq a -> a Source #

product :: Num a => Seq a -> a Source #

Foldable ViewL 
Instance details

Defined in Data.Sequence.Internal

Methods

fold :: Monoid m => ViewL m -> m Source #

foldMap :: Monoid m => (a -> m) -> ViewL a -> m Source #

foldMap' :: Monoid m => (a -> m) -> ViewL a -> m Source #

foldr :: (a -> b -> b) -> b -> ViewL a -> b Source #

foldr' :: (a -> b -> b) -> b -> ViewL a -> b Source #

foldl :: (b -> a -> b) -> b -> ViewL a -> b Source #

foldl' :: (b -> a -> b) -> b -> ViewL a -> b Source #

foldr1 :: (a -> a -> a) -> ViewL a -> a Source #

foldl1 :: (a -> a -> a) -> ViewL a -> a Source #

toList :: ViewL a -> [a] Source #

null :: ViewL a -> Bool Source #

length :: ViewL a -> Int Source #

elem :: Eq a => a -> ViewL a -> Bool Source #

maximum :: Ord a => ViewL a -> a Source #

minimum :: Ord a => ViewL a -> a Source #

sum :: Num a => ViewL a -> a Source #

product :: Num a => ViewL a -> a Source #

Foldable ViewR 
Instance details

Defined in Data.Sequence.Internal

Methods

fold :: Monoid m => ViewR m -> m Source #

foldMap :: Monoid m => (a -> m) -> ViewR a -> m Source #

foldMap' :: Monoid m => (a -> m) -> ViewR a -> m Source #

foldr :: (a -> b -> b) -> b -> ViewR a -> b Source #

foldr' :: (a -> b -> b) -> b -> ViewR a -> b Source #

foldl :: (b -> a -> b) -> b -> ViewR a -> b Source #

foldl' :: (b -> a -> b) -> b -> ViewR a -> b Source #

foldr1 :: (a -> a -> a) -> ViewR a -> a Source #

foldl1 :: (a -> a -> a) -> ViewR a -> a Source #

toList :: ViewR a -> [a] Source #

null :: ViewR a -> Bool Source #

length :: ViewR a -> Int Source #

elem :: Eq a => a -> ViewR a -> Bool Source #

maximum :: Ord a => ViewR a -> a Source #

minimum :: Ord a => ViewR a -> a Source #

sum :: Num a => ViewR a -> a Source #

product :: Num a => ViewR a -> a Source #

Foldable Set

Folds in order of increasing key.

Instance details

Defined in Data.Set.Internal

Methods

fold :: Monoid m => Set m -> m Source #

foldMap :: Monoid m => (a -> m) -> Set a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Set a -> m Source #

foldr :: (a -> b -> b) -> b -> Set a -> b Source #

foldr' :: (a -> b -> b) -> b -> Set a -> b Source #

foldl :: (b -> a -> b) -> b -> Set a -> b Source #

foldl' :: (b -> a -> b) -> b -> Set a -> b Source #

foldr1 :: (a -> a -> a) -> Set a -> a Source #

foldl1 :: (a -> a -> a) -> Set a -> a Source #

toList :: Set a -> [a] Source #

null :: Set a -> Bool Source #

length :: Set a -> Int Source #

elem :: Eq a => a -> Set a -> Bool Source #

maximum :: Ord a => Set a -> a Source #

minimum :: Ord a => Set a -> a Source #

sum :: Num a => Set a -> a Source #

product :: Num a => Set a -> a Source #

Foldable Tree

Folds in preorder

Instance details

Defined in Data.Tree

Methods

fold :: Monoid m => Tree m -> m Source #

foldMap :: Monoid m => (a -> m) -> Tree a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Tree a -> m Source #

foldr :: (a -> b -> b) -> b -> Tree a -> b Source #

foldr' :: (a -> b -> b) -> b -> Tree a -> b Source #

foldl :: (b -> a -> b) -> b -> Tree a -> b Source #

foldl' :: (b -> a -> b) -> b -> Tree a -> b Source #

foldr1 :: (a -> a -> a) -> Tree a -> a Source #

foldl1 :: (a -> a -> a) -> Tree a -> a Source #

toList :: Tree a -> [a] Source #

null :: Tree a -> Bool Source #

length :: Tree a -> Int Source #

elem :: Eq a => a -> Tree a -> Bool Source #

maximum :: Ord a => Tree a -> a Source #

minimum :: Ord a => Tree a -> a Source #

sum :: Num a => Tree a -> a Source #

product :: Num a => Tree a -> a Source #

Foldable Hashed 
Instance details

Defined in Data.Hashable.Class

Methods

fold :: Monoid m => Hashed m -> m Source #

foldMap :: Monoid m => (a -> m) -> Hashed a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Hashed a -> m Source #

foldr :: (a -> b -> b) -> b -> Hashed a -> b Source #

foldr' :: (a -> b -> b) -> b -> Hashed a -> b Source #

foldl :: (b -> a -> b) -> b -> Hashed a -> b Source #

foldl' :: (b -> a -> b) -> b -> Hashed a -> b Source #

foldr1 :: (a -> a -> a) -> Hashed a -> a Source #

foldl1 :: (a -> a -> a) -> Hashed a -> a Source #

toList :: Hashed a -> [a] Source #

null :: Hashed a -> Bool Source #

length :: Hashed a -> Int Source #

elem :: Eq a => a -> Hashed a -> Bool Source #

maximum :: Ord a => Hashed a -> a Source #

minimum :: Ord a => Hashed a -> a Source #

sum :: Num a => Hashed a -> a Source #

product :: Num a => Hashed a -> a Source #

Foldable Array 
Instance details

Defined in Data.Primitive.Array

Methods

fold :: Monoid m => Array m -> m Source #

foldMap :: Monoid m => (a -> m) -> Array a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Array a -> m Source #

foldr :: (a -> b -> b) -> b -> Array a -> b Source #

foldr' :: (a -> b -> b) -> b -> Array a -> b Source #

foldl :: (b -> a -> b) -> b -> Array a -> b Source #

foldl' :: (b -> a -> b) -> b -> Array a -> b Source #

foldr1 :: (a -> a -> a) -> Array a -> a Source #

foldl1 :: (a -> a -> a) -> Array a -> a Source #

toList :: Array a -> [a] Source #

null :: Array a -> Bool Source #

length :: Array a -> Int Source #

elem :: Eq a => a -> Array a -> Bool Source #

maximum :: Ord a => Array a -> a Source #

minimum :: Ord a => Array a -> a Source #

sum :: Num a => Array a -> a Source #

product :: Num a => Array a -> a Source #

Foldable SmallArray 
Instance details

Defined in Data.Primitive.SmallArray

Methods

fold :: Monoid m => SmallArray m -> m Source #

foldMap :: Monoid m => (a -> m) -> SmallArray a -> m Source #

foldMap' :: Monoid m => (a -> m) -> SmallArray a -> m Source #

foldr :: (a -> b -> b) -> b -> SmallArray a -> b Source #

foldr' :: (a -> b -> b) -> b -> SmallArray a -> b Source #

foldl :: (b -> a -> b) -> b -> SmallArray a -> b Source #

foldl' :: (b -> a -> b) -> b -> SmallArray a -> b Source #

foldr1 :: (a -> a -> a) -> SmallArray a -> a Source #

foldl1 :: (a -> a -> a) -> SmallArray a -> a Source #

toList :: SmallArray a -> [a] Source #

null :: SmallArray a -> Bool Source #

length :: SmallArray a -> Int Source #

elem :: Eq a => a -> SmallArray a -> Bool Source #

maximum :: Ord a => SmallArray a -> a Source #

minimum :: Ord a => SmallArray a -> a Source #

sum :: Num a => SmallArray a -> a Source #

product :: Num a => SmallArray a -> a Source #

Foldable HashSet 
Instance details

Defined in Data.HashSet.Internal

Methods

fold :: Monoid m => HashSet m -> m Source #

foldMap :: Monoid m => (a -> m) -> HashSet a -> m Source #

foldMap' :: Monoid m => (a -> m) -> HashSet a -> m Source #

foldr :: (a -> b -> b) -> b -> HashSet a -> b Source #

foldr' :: (a -> b -> b) -> b -> HashSet a -> b Source #

foldl :: (b -> a -> b) -> b -> HashSet a -> b Source #

foldl' :: (b -> a -> b) -> b -> HashSet a -> b Source #

foldr1 :: (a -> a -> a) -> HashSet a -> a Source #

foldl1 :: (a -> a -> a) -> HashSet a -> a Source #

toList :: HashSet a -> [a] Source #

null :: HashSet a -> Bool Source #

length :: HashSet a -> Int Source #

elem :: Eq a => a -> HashSet a -> Bool Source #

maximum :: Ord a => HashSet a -> a Source #

minimum :: Ord a => HashSet a -> a Source #

sum :: Num a => HashSet a -> a Source #

product :: Num a => HashSet a -> a Source #

Foldable Vector 
Instance details

Defined in Data.Vector

Methods

fold :: Monoid m => Vector m -> m Source #

foldMap :: Monoid m => (a -> m) -> Vector a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Vector a -> m Source #

foldr :: (a -> b -> b) -> b -> Vector a -> b Source #

foldr' :: (a -> b -> b) -> b -> Vector a -> b Source #

foldl :: (b -> a -> b) -> b -> Vector a -> b Source #

foldl' :: (b -> a -> b) -> b -> Vector a -> b Source #

foldr1 :: (a -> a -> a) -> Vector a -> a Source #

foldl1 :: (a -> a -> a) -> Vector a -> a Source #

toList :: Vector a -> [a] Source #

null :: Vector a -> Bool Source #

length :: Vector a -> Int Source #

elem :: Eq a => a -> Vector a -> Bool Source #

maximum :: Ord a => Vector a -> a Source #

minimum :: Ord a => Vector a -> a Source #

sum :: Num a => Vector a -> a Source #

product :: Num a => Vector a -> a Source #

Foldable Maybe

Since: base-2.1

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Maybe m -> m Source #

foldMap :: Monoid m => (a -> m) -> Maybe a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Maybe a -> m Source #

foldr :: (a -> b -> b) -> b -> Maybe a -> b Source #

foldr' :: (a -> b -> b) -> b -> Maybe a -> b Source #

foldl :: (b -> a -> b) -> b -> Maybe a -> b Source #

foldl' :: (b -> a -> b) -> b -> Maybe a -> b Source #

foldr1 :: (a -> a -> a) -> Maybe a -> a Source #

foldl1 :: (a -> a -> a) -> Maybe a -> a Source #

toList :: Maybe a -> [a] Source #

null :: Maybe a -> Bool Source #

length :: Maybe a -> Int Source #

elem :: Eq a => a -> Maybe a -> Bool Source #

maximum :: Ord a => Maybe a -> a Source #

minimum :: Ord a => Maybe a -> a Source #

sum :: Num a => Maybe a -> a Source #

product :: Num a => Maybe a -> a Source #

Foldable Solo

Since: base-4.15

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Solo m -> m Source #

foldMap :: Monoid m => (a -> m) -> Solo a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Solo a -> m Source #

foldr :: (a -> b -> b) -> b -> Solo a -> b Source #

foldr' :: (a -> b -> b) -> b -> Solo a -> b Source #

foldl :: (b -> a -> b) -> b -> Solo a -> b Source #

foldl' :: (b -> a -> b) -> b -> Solo a -> b Source #

foldr1 :: (a -> a -> a) -> Solo a -> a Source #

foldl1 :: (a -> a -> a) -> Solo a -> a Source #

toList :: Solo a -> [a] Source #

null :: Solo a -> Bool Source #

length :: Solo a -> Int Source #

elem :: Eq a => a -> Solo a -> Bool Source #

maximum :: Ord a => Solo a -> a Source #

minimum :: Ord a => Solo a -> a Source #

sum :: Num a => Solo a -> a Source #

product :: Num a => Solo a -> a Source #

Foldable List

Since: base-2.1

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => [m] -> m Source #

foldMap :: Monoid m => (a -> m) -> [a] -> m Source #

foldMap' :: Monoid m => (a -> m) -> [a] -> m Source #

foldr :: (a -> b -> b) -> b -> [a] -> b Source #

foldr' :: (a -> b -> b) -> b -> [a] -> b Source #

foldl :: (b -> a -> b) -> b -> [a] -> b Source #

foldl' :: (b -> a -> b) -> b -> [a] -> b Source #

foldr1 :: (a -> a -> a) -> [a] -> a Source #

foldl1 :: (a -> a -> a) -> [a] -> a Source #

toList :: [a] -> [a] Source #

null :: [a] -> Bool Source #

length :: [a] -> Int Source #

elem :: Eq a => a -> [a] -> Bool Source #

maximum :: Ord a => [a] -> a Source #

minimum :: Ord a => [a] -> a Source #

sum :: Num a => [a] -> a Source #

product :: Num a => [a] -> a Source #

Foldable (Either a)

Since: base-4.7.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Either a m -> m Source #

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

foldMap' :: Monoid m => (a0 -> m) -> Either a a0 -> m Source #

foldr :: (a0 -> b -> b) -> b -> Either a a0 -> b Source #

foldr' :: (a0 -> b -> b) -> b -> Either a a0 -> b Source #

foldl :: (b -> a0 -> b) -> b -> Either a a0 -> b Source #

foldl' :: (b -> a0 -> b) -> b -> Either a a0 -> b Source #

foldr1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 Source #

foldl1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 Source #

toList :: Either a a0 -> [a0] Source #

null :: Either a a0 -> Bool Source #

length :: Either a a0 -> Int Source #

elem :: Eq a0 => a0 -> Either a a0 -> Bool Source #

maximum :: Ord a0 => Either a a0 -> a0 Source #

minimum :: Ord a0 => Either a a0 -> a0 Source #

sum :: Num a0 => Either a a0 -> a0 Source #

product :: Num a0 => Either a a0 -> a0 Source #

Foldable (Proxy :: Type -> Type)

Since: base-4.7.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Proxy m -> m Source #

foldMap :: Monoid m => (a -> m) -> Proxy a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Proxy a -> m Source #

foldr :: (a -> b -> b) -> b -> Proxy a -> b Source #

foldr' :: (a -> b -> b) -> b -> Proxy a -> b Source #

foldl :: (b -> a -> b) -> b -> Proxy a -> b Source #

foldl' :: (b -> a -> b) -> b -> Proxy a -> b Source #

foldr1 :: (a -> a -> a) -> Proxy a -> a Source #

foldl1 :: (a -> a -> a) -> Proxy a -> a Source #

toList :: Proxy a -> [a] Source #

null :: Proxy a -> Bool Source #

length :: Proxy a -> Int Source #

elem :: Eq a => a -> Proxy a -> Bool Source #

maximum :: Ord a => Proxy a -> a Source #

minimum :: Ord a => Proxy a -> a Source #

sum :: Num a => Proxy a -> a Source #

product :: Num a => Proxy a -> a Source #

Foldable (Array i)

Since: base-4.8.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Array i m -> m Source #

foldMap :: Monoid m => (a -> m) -> Array i a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Array i a -> m Source #

foldr :: (a -> b -> b) -> b -> Array i a -> b Source #

foldr' :: (a -> b -> b) -> b -> Array i a -> b Source #

foldl :: (b -> a -> b) -> b -> Array i a -> b Source #

foldl' :: (b -> a -> b) -> b -> Array i a -> b Source #

foldr1 :: (a -> a -> a) -> Array i a -> a Source #

foldl1 :: (a -> a -> a) -> Array i a -> a Source #

toList :: Array i a -> [a] Source #

null :: Array i a -> Bool Source #

length :: Array i a -> Int Source #

elem :: Eq a => a -> Array i a -> Bool Source #

maximum :: Ord a => Array i a -> a Source #

minimum :: Ord a => Array i a -> a Source #

sum :: Num a => Array i a -> a Source #

product :: Num a => Array i a -> a Source #

Foldable (U1 :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => U1 m -> m Source #

foldMap :: Monoid m => (a -> m) -> U1 a -> m Source #

foldMap' :: Monoid m => (a -> m) -> U1 a -> m Source #

foldr :: (a -> b -> b) -> b -> U1 a -> b Source #

foldr' :: (a -> b -> b) -> b -> U1 a -> b Source #

foldl :: (b -> a -> b) -> b -> U1 a -> b Source #

foldl' :: (b -> a -> b) -> b -> U1 a -> b Source #

foldr1 :: (a -> a -> a) -> U1 a -> a Source #

foldl1 :: (a -> a -> a) -> U1 a -> a Source #

toList :: U1 a -> [a] Source #

null :: U1 a -> Bool Source #

length :: U1 a -> Int Source #

elem :: Eq a => a -> U1 a -> Bool Source #

maximum :: Ord a => U1 a -> a Source #

minimum :: Ord a => U1 a -> a Source #

sum :: Num a => U1 a -> a Source #

product :: Num a => U1 a -> a Source #

Foldable (UAddr :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UAddr m -> m Source #

foldMap :: Monoid m => (a -> m) -> UAddr a -> m Source #

foldMap' :: Monoid m => (a -> m) -> UAddr a -> m Source #

foldr :: (a -> b -> b) -> b -> UAddr a -> b Source #

foldr' :: (a -> b -> b) -> b -> UAddr a -> b Source #

foldl :: (b -> a -> b) -> b -> UAddr a -> b Source #

foldl' :: (b -> a -> b) -> b -> UAddr a -> b Source #

foldr1 :: (a -> a -> a) -> UAddr a -> a Source #

foldl1 :: (a -> a -> a) -> UAddr a -> a Source #

toList :: UAddr a -> [a] Source #

null :: UAddr a -> Bool Source #

length :: UAddr a -> Int Source #

elem :: Eq a => a -> UAddr a -> Bool Source #

maximum :: Ord a => UAddr a -> a Source #

minimum :: Ord a => UAddr a -> a Source #

sum :: Num a => UAddr a -> a Source #

product :: Num a => UAddr a -> a Source #

Foldable (UChar :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UChar m -> m Source #

foldMap :: Monoid m => (a -> m) -> UChar a -> m Source #

foldMap' :: Monoid m => (a -> m) -> UChar a -> m Source #

foldr :: (a -> b -> b) -> b -> UChar a -> b Source #

foldr' :: (a -> b -> b) -> b -> UChar a -> b Source #

foldl :: (b -> a -> b) -> b -> UChar a -> b Source #

foldl' :: (b -> a -> b) -> b -> UChar a -> b Source #

foldr1 :: (a -> a -> a) -> UChar a -> a Source #

foldl1 :: (a -> a -> a) -> UChar a -> a Source #

toList :: UChar a -> [a] Source #

null :: UChar a -> Bool Source #

length :: UChar a -> Int Source #

elem :: Eq a => a -> UChar a -> Bool Source #

maximum :: Ord a => UChar a -> a Source #

minimum :: Ord a => UChar a -> a Source #

sum :: Num a => UChar a -> a Source #

product :: Num a => UChar a -> a Source #

Foldable (UDouble :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UDouble m -> m Source #

foldMap :: Monoid m => (a -> m) -> UDouble a -> m Source #

foldMap' :: Monoid m => (a -> m) -> UDouble a -> m Source #

foldr :: (a -> b -> b) -> b -> UDouble a -> b Source #

foldr' :: (a -> b -> b) -> b -> UDouble a -> b Source #

foldl :: (b -> a -> b) -> b -> UDouble a -> b Source #

foldl' :: (b -> a -> b) -> b -> UDouble a -> b Source #

foldr1 :: (a -> a -> a) -> UDouble a -> a Source #

foldl1 :: (a -> a -> a) -> UDouble a -> a Source #

toList :: UDouble a -> [a] Source #

null :: UDouble a -> Bool Source #

length :: UDouble a -> Int Source #

elem :: Eq a => a -> UDouble a -> Bool Source #

maximum :: Ord a => UDouble a -> a Source #

minimum :: Ord a => UDouble a -> a Source #

sum :: Num a => UDouble a -> a Source #

product :: Num a => UDouble a -> a Source #

Foldable (UFloat :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UFloat m -> m Source #

foldMap :: Monoid m => (a -> m) -> UFloat a -> m Source #

foldMap' :: Monoid m => (a -> m) -> UFloat a -> m Source #

foldr :: (a -> b -> b) -> b -> UFloat a -> b Source #

foldr' :: (a -> b -> b) -> b -> UFloat a -> b Source #

foldl :: (b -> a -> b) -> b -> UFloat a -> b Source #

foldl' :: (b -> a -> b) -> b -> UFloat a -> b Source #

foldr1 :: (a -> a -> a) -> UFloat a -> a Source #

foldl1 :: (a -> a -> a) -> UFloat a -> a Source #

toList :: UFloat a -> [a] Source #

null :: UFloat a -> Bool Source #

length :: UFloat a -> Int Source #

elem :: Eq a => a -> UFloat a -> Bool Source #

maximum :: Ord a => UFloat a -> a Source #

minimum :: Ord a => UFloat a -> a Source #

sum :: Num a => UFloat a -> a Source #

product :: Num a => UFloat a -> a Source #

Foldable (UInt :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UInt m -> m Source #

foldMap :: Monoid m => (a -> m) -> UInt a -> m Source #

foldMap' :: Monoid m => (a -> m) -> UInt a -> m Source #

foldr :: (a -> b -> b) -> b -> UInt a -> b Source #

foldr' :: (a -> b -> b) -> b -> UInt a -> b Source #

foldl :: (b -> a -> b) -> b -> UInt a -> b Source #

foldl' :: (b -> a -> b) -> b -> UInt a -> b Source #

foldr1 :: (a -> a -> a) -> UInt a -> a Source #

foldl1 :: (a -> a -> a) -> UInt a -> a Source #

toList :: UInt a -> [a] Source #

null :: UInt a -> Bool Source #

length :: UInt a -> Int Source #

elem :: Eq a => a -> UInt a -> Bool Source #

maximum :: Ord a => UInt a -> a Source #

minimum :: Ord a => UInt a -> a Source #

sum :: Num a => UInt a -> a Source #

product :: Num a => UInt a -> a Source #

Foldable (UWord :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UWord m -> m Source #

foldMap :: Monoid m => (a -> m) -> UWord a -> m Source #

foldMap' :: Monoid m => (a -> m) -> UWord a -> m Source #

foldr :: (a -> b -> b) -> b -> UWord a -> b Source #

foldr' :: (a -> b -> b) -> b -> UWord a -> b Source #

foldl :: (b -> a -> b) -> b -> UWord a -> b Source #

foldl' :: (b -> a -> b) -> b -> UWord a -> b Source #

foldr1 :: (a -> a -> a) -> UWord a -> a Source #

foldl1 :: (a -> a -> a) -> UWord a -> a Source #

toList :: UWord a -> [a] Source #

null :: UWord a -> Bool Source #

length :: UWord a -> Int Source #

elem :: Eq a => a -> UWord a -> Bool Source #

maximum :: Ord a => UWord a -> a Source #

minimum :: Ord a => UWord a -> a Source #

sum :: Num a => UWord a -> a Source #

product :: Num a => UWord a -> a Source #

Foldable (V1 :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => V1 m -> m Source #

foldMap :: Monoid m => (a -> m) -> V1 a -> m Source #

foldMap' :: Monoid m => (a -> m) -> V1 a -> m Source #

foldr :: (a -> b -> b) -> b -> V1 a -> b Source #

foldr' :: (a -> b -> b) -> b -> V1 a -> b Source #

foldl :: (b -> a -> b) -> b -> V1 a -> b Source #

foldl' :: (b -> a -> b) -> b -> V1 a -> b Source #

foldr1 :: (a -> a -> a) -> V1 a -> a Source #

foldl1 :: (a -> a -> a) -> V1 a -> a Source #

toList :: V1 a -> [a] Source #

null :: V1 a -> Bool Source #

length :: V1 a -> Int Source #

elem :: Eq a => a -> V1 a -> Bool Source #

maximum :: Ord a => V1 a -> a Source #

minimum :: Ord a => V1 a -> a Source #

sum :: Num a => V1 a -> a Source #

product :: Num a => V1 a -> a Source #

Foldable (Map k)

Folds in order of increasing key.

Instance details

Defined in Data.Map.Internal

Methods

fold :: Monoid m => Map k m -> m Source #

foldMap :: Monoid m => (a -> m) -> Map k a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Map k a -> m Source #

foldr :: (a -> b -> b) -> b -> Map k a -> b Source #

foldr' :: (a -> b -> b) -> b -> Map k a -> b Source #

foldl :: (b -> a -> b) -> b -> Map k a -> b Source #

foldl' :: (b -> a -> b) -> b -> Map k a -> b Source #

foldr1 :: (a -> a -> a) -> Map k a -> a Source #

foldl1 :: (a -> a -> a) -> Map k a -> a Source #

toList :: Map k a -> [a] Source #

null :: Map k a -> Bool Source #

length :: Map k a -> Int Source #

elem :: Eq a => a -> Map k a -> Bool Source #

maximum :: Ord a => Map k a -> a Source #

minimum :: Ord a => Map k a -> a Source #

sum :: Num a => Map k a -> a Source #

product :: Num a => Map k a -> a Source #

Foldable f => Foldable (MaybeT f) 
Instance details

Defined in Control.Monad.Trans.Maybe

Methods

fold :: Monoid m => MaybeT f m -> m Source #

foldMap :: Monoid m => (a -> m) -> MaybeT f a -> m Source #

foldMap' :: Monoid m => (a -> m) -> MaybeT f a -> m Source #

foldr :: (a -> b -> b) -> b -> MaybeT f a -> b Source #

foldr' :: (a -> b -> b) -> b -> MaybeT f a -> b Source #

foldl :: (b -> a -> b) -> b -> MaybeT f a -> b Source #

foldl' :: (b -> a -> b) -> b -> MaybeT f a -> b Source #

foldr1 :: (a -> a -> a) -> MaybeT f a -> a Source #

foldl1 :: (a -> a -> a) -> MaybeT f a -> a Source #

toList :: MaybeT f a -> [a] Source #

null :: MaybeT f a -> Bool Source #

length :: MaybeT f a -> Int Source #

elem :: Eq a => a -> MaybeT f a -> Bool Source #

maximum :: Ord a => MaybeT f a -> a Source #

minimum :: Ord a => MaybeT f a -> a Source #

sum :: Num a => MaybeT f a -> a Source #

product :: Num a => MaybeT f a -> a Source #

Foldable (HashMap k) 
Instance details

Defined in Data.HashMap.Internal

Methods

fold :: Monoid m => HashMap k m -> m Source #

foldMap :: Monoid m => (a -> m) -> HashMap k a -> m Source #

foldMap' :: Monoid m => (a -> m) -> HashMap k a -> m Source #

foldr :: (a -> b -> b) -> b -> HashMap k a -> b Source #

foldr' :: (a -> b -> b) -> b -> HashMap k a -> b Source #

foldl :: (b -> a -> b) -> b -> HashMap k a -> b Source #

foldl' :: (b -> a -> b) -> b -> HashMap k a -> b Source #

foldr1 :: (a -> a -> a) -> HashMap k a -> a Source #

foldl1 :: (a -> a -> a) -> HashMap k a -> a Source #

toList :: HashMap k a -> [a] Source #

null :: HashMap k a -> Bool Source #

length :: HashMap k a -> Int Source #

elem :: Eq a => a -> HashMap k a -> Bool Source #

maximum :: Ord a => HashMap k a -> a Source #

minimum :: Ord a => HashMap k a -> a Source #

sum :: Num a => HashMap k a -> a Source #

product :: Num a => HashMap k a -> a Source #

Foldable ((,) a)

Since: base-4.7.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => (a, m) -> m Source #

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

foldMap' :: Monoid m => (a0 -> m) -> (a, a0) -> m Source #

foldr :: (a0 -> b -> b) -> b -> (a, a0) -> b Source #

foldr' :: (a0 -> b -> b) -> b -> (a, a0) -> b Source #

foldl :: (b -> a0 -> b) -> b -> (a, a0) -> b Source #

foldl' :: (b -> a0 -> b) -> b -> (a, a0) -> b Source #

foldr1 :: (a0 -> a0 -> a0) -> (a, a0) -> a0 Source #

foldl1 :: (a0 -> a0 -> a0) -> (a, a0) -> a0 Source #

toList :: (a, a0) -> [a0] Source #

null :: (a, a0) -> Bool Source #

length :: (a, a0) -> Int Source #

elem :: Eq a0 => a0 -> (a, a0) -> Bool Source #

maximum :: Ord a0 => (a, a0) -> a0 Source #

minimum :: Ord a0 => (a, a0) -> a0 Source #

sum :: Num a0 => (a, a0) -> a0 Source #

product :: Num a0 => (a, a0) -> a0 Source #

Foldable (Const m :: Type -> Type)

Since: base-4.7.0.0

Instance details

Defined in Data.Functor.Const

Methods

fold :: Monoid m0 => Const m m0 -> m0 Source #

foldMap :: Monoid m0 => (a -> m0) -> Const m a -> m0 Source #

foldMap' :: Monoid m0 => (a -> m0) -> Const m a -> m0 Source #

foldr :: (a -> b -> b) -> b -> Const m a -> b Source #

foldr' :: (a -> b -> b) -> b -> Const m a -> b Source #

foldl :: (b -> a -> b) -> b -> Const m a -> b Source #

foldl' :: (b -> a -> b) -> b -> Const m a -> b Source #

foldr1 :: (a -> a -> a) -> Const m a -> a Source #

foldl1 :: (a -> a -> a) -> Const m a -> a Source #

toList :: Const m a -> [a] Source #

null :: Const m a -> Bool Source #

length :: Const m a -> Int Source #

elem :: Eq a => a -> Const m a -> Bool Source #

maximum :: Ord a => Const m a -> a Source #

minimum :: Ord a => Const m a -> a Source #

sum :: Num a => Const m a -> a Source #

product :: Num a => Const m a -> a Source #

Foldable f => Foldable (Ap f)

Since: base-4.12.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Ap f m -> m Source #

foldMap :: Monoid m => (a -> m) -> Ap f a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Ap f a -> m Source #

foldr :: (a -> b -> b) -> b -> Ap f a -> b Source #

foldr' :: (a -> b -> b) -> b -> Ap f a -> b Source #

foldl :: (b -> a -> b) -> b -> Ap f a -> b Source #

foldl' :: (b -> a -> b) -> b -> Ap f a -> b Source #

foldr1 :: (a -> a -> a) -> Ap f a -> a Source #

foldl1 :: (a -> a -> a) -> Ap f a -> a Source #

toList :: Ap f a -> [a] Source #

null :: Ap f a -> Bool Source #

length :: Ap f a -> Int Source #

elem :: Eq a => a -> Ap f a -> Bool Source #

maximum :: Ord a => Ap f a -> a Source #

minimum :: Ord a => Ap f a -> a Source #

sum :: Num a => Ap f a -> a Source #

product :: Num a => Ap f a -> a Source #

Foldable f => Foldable (Alt f)

Since: base-4.12.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Alt f m -> m Source #

foldMap :: Monoid m => (a -> m) -> Alt f a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Alt f a -> m Source #

foldr :: (a -> b -> b) -> b -> Alt f a -> b Source #

foldr' :: (a -> b -> b) -> b -> Alt f a -> b Source #

foldl :: (b -> a -> b) -> b -> Alt f a -> b Source #

foldl' :: (b -> a -> b) -> b -> Alt f a -> b Source #

foldr1 :: (a -> a -> a) -> Alt f a -> a Source #

foldl1 :: (a -> a -> a) -> Alt f a -> a Source #

toList :: Alt f a -> [a] Source #

null :: Alt f a -> Bool Source #

length :: Alt f a -> Int Source #

elem :: Eq a => a -> Alt f a -> Bool Source #

maximum :: Ord a => Alt f a -> a Source #

minimum :: Ord a => Alt f a -> a Source #

sum :: Num a => Alt f a -> a Source #

product :: Num a => Alt f a -> a Source #

Foldable f => Foldable (Rec1 f)

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Rec1 f m -> m Source #

foldMap :: Monoid m => (a -> m) -> Rec1 f a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Rec1 f a -> m Source #

foldr :: (a -> b -> b) -> b -> Rec1 f a -> b Source #

foldr' :: (a -> b -> b) -> b -> Rec1 f a -> b Source #

foldl :: (b -> a -> b) -> b -> Rec1 f a -> b Source #

foldl' :: (b -> a -> b) -> b -> Rec1 f a -> b Source #

foldr1 :: (a -> a -> a) -> Rec1 f a -> a Source #

foldl1 :: (a -> a -> a) -> Rec1 f a -> a Source #

toList :: Rec1 f a -> [a] Source #

null :: Rec1 f a -> Bool Source #

length :: Rec1 f a -> Int Source #

elem :: Eq a => a -> Rec1 f a -> Bool Source #

maximum :: Ord a => Rec1 f a -> a Source #

minimum :: Ord a => Rec1 f a -> a Source #

sum :: Num a => Rec1 f a -> a Source #

product :: Num a => Rec1 f a -> a Source #

Foldable f => Foldable (ExceptT e f) 
Instance details

Defined in Control.Monad.Trans.Except

Methods

fold :: Monoid m => ExceptT e f m -> m Source #

foldMap :: Monoid m => (a -> m) -> ExceptT e f a -> m Source #

foldMap' :: Monoid m => (a -> m) -> ExceptT e f a -> m Source #

foldr :: (a -> b -> b) -> b -> ExceptT e f a -> b Source #

foldr' :: (a -> b -> b) -> b -> ExceptT e f a -> b Source #

foldl :: (b -> a -> b) -> b -> ExceptT e f a -> b Source #

foldl' :: (b -> a -> b) -> b -> ExceptT e f a -> b Source #

foldr1 :: (a -> a -> a) -> ExceptT e f a -> a Source #

foldl1 :: (a -> a -> a) -> ExceptT e f a -> a Source #

toList :: ExceptT e f a -> [a] Source #

null :: ExceptT e f a -> Bool Source #

length :: ExceptT e f a -> Int Source #

elem :: Eq a => a -> ExceptT e f a -> Bool Source #

maximum :: Ord a => ExceptT e f a -> a Source #

minimum :: Ord a => ExceptT e f a -> a Source #

sum :: Num a => ExceptT e f a -> a Source #

product :: Num a => ExceptT e f a -> a Source #

Foldable f => Foldable (IdentityT f) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

fold :: Monoid m => IdentityT f m -> m Source #

foldMap :: Monoid m => (a -> m) -> IdentityT f a -> m Source #

foldMap' :: Monoid m => (a -> m) -> IdentityT f a -> m Source #

foldr :: (a -> b -> b) -> b -> IdentityT f a -> b Source #

foldr' :: (a -> b -> b) -> b -> IdentityT f a -> b Source #

foldl :: (b -> a -> b) -> b -> IdentityT f a -> b Source #

foldl' :: (b -> a -> b) -> b -> IdentityT f a -> b Source #

foldr1 :: (a -> a -> a) -> IdentityT f a -> a Source #

foldl1 :: (a -> a -> a) -> IdentityT f a -> a Source #

toList :: IdentityT f a -> [a] Source #

null :: IdentityT f a -> Bool Source #

length :: IdentityT f a -> Int Source #

elem :: Eq a => a -> IdentityT f a -> Bool Source #

maximum :: Ord a => IdentityT f a -> a Source #

minimum :: Ord a => IdentityT f a -> a Source #

sum :: Num a => IdentityT f a -> a Source #

product :: Num a => IdentityT f a -> a Source #

Foldable f => Foldable (WriterT w f) 
Instance details

Defined in Control.Monad.Trans.Writer.Lazy

Methods

fold :: Monoid m => WriterT w f m -> m Source #

foldMap :: Monoid m => (a -> m) -> WriterT w f a -> m Source #

foldMap' :: Monoid m => (a -> m) -> WriterT w f a -> m Source #

foldr :: (a -> b -> b) -> b -> WriterT w f a -> b Source #

foldr' :: (a -> b -> b) -> b -> WriterT w f a -> b Source #

foldl :: (b -> a -> b) -> b -> WriterT w f a -> b Source #

foldl' :: (b -> a -> b) -> b -> WriterT w f a -> b Source #

foldr1 :: (a -> a -> a) -> WriterT w f a -> a Source #

foldl1 :: (a -> a -> a) -> WriterT w f a -> a Source #

toList :: WriterT w f a -> [a] Source #

null :: WriterT w f a -> Bool Source #

length :: WriterT w f a -> Int Source #

elem :: Eq a => a -> WriterT w f a -> Bool Source #

maximum :: Ord a => WriterT w f a -> a Source #

minimum :: Ord a => WriterT w f a -> a Source #

sum :: Num a => WriterT w f a -> a Source #

product :: Num a => WriterT w f a -> a Source #

Foldable f => Foldable (WriterT w f) 
Instance details

Defined in Control.Monad.Trans.Writer.Strict

Methods

fold :: Monoid m => WriterT w f m -> m Source #

foldMap :: Monoid m => (a -> m) -> WriterT w f a -> m Source #

foldMap' :: Monoid m => (a -> m) -> WriterT w f a -> m Source #

foldr :: (a -> b -> b) -> b -> WriterT w f a -> b Source #

foldr' :: (a -> b -> b) -> b -> WriterT w f a -> b Source #

foldl :: (b -> a -> b) -> b -> WriterT w f a -> b Source #

foldl' :: (b -> a -> b) -> b -> WriterT w f a -> b Source #

foldr1 :: (a -> a -> a) -> WriterT w f a -> a Source #

foldl1 :: (a -> a -> a) -> WriterT w f a -> a Source #

toList :: WriterT w f a -> [a] Source #

null :: WriterT w f a -> Bool Source #

length :: WriterT w f a -> Int Source #

elem :: Eq a => a -> WriterT w f a -> Bool Source #

maximum :: Ord a => WriterT w f a -> a Source #

minimum :: Ord a => WriterT w f a -> a Source #

sum :: Num a => WriterT w f a -> a Source #

product :: Num a => WriterT w f a -> a Source #

(Foldable f, Foldable g) => Foldable (f :*: g)

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => (f :*: g) m -> m Source #

foldMap :: Monoid m => (a -> m) -> (f :*: g) a -> m Source #

foldMap' :: Monoid m => (a -> m) -> (f :*: g) a -> m Source #

foldr :: (a -> b -> b) -> b -> (f :*: g) a -> b Source #

foldr' :: (a -> b -> b) -> b -> (f :*: g) a -> b Source #

foldl :: (b -> a -> b) -> b -> (f :*: g) a -> b Source #

foldl' :: (b -> a -> b) -> b -> (f :*: g) a -> b Source #

foldr1 :: (a -> a -> a) -> (f :*: g) a -> a Source #

foldl1 :: (a -> a -> a) -> (f :*: g) a -> a Source #

toList :: (f :*: g) a -> [a] Source #

null :: (f :*: g) a -> Bool Source #

length :: (f :*: g) a -> Int Source #

elem :: Eq a => a -> (f :*: g) a -> Bool Source #

maximum :: Ord a => (f :*: g) a -> a Source #

minimum :: Ord a => (f :*: g) a -> a Source #

sum :: Num a => (f :*: g) a -> a Source #

product :: Num a => (f :*: g) a -> a Source #

(Foldable f, Foldable g) => Foldable (f :+: g)

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => (f :+: g) m -> m Source #

foldMap :: Monoid m => (a -> m) -> (f :+: g) a -> m Source #

foldMap' :: Monoid m => (a -> m) -> (f :+: g) a -> m Source #

foldr :: (a -> b -> b) -> b -> (f :+: g) a -> b Source #

foldr' :: (a -> b -> b) -> b -> (f :+: g) a -> b Source #

foldl :: (b -> a -> b) -> b -> (f :+: g) a -> b Source #

foldl' :: (b -> a -> b) -> b -> (f :+: g) a -> b Source #

foldr1 :: (a -> a -> a) -> (f :+: g) a -> a Source #

foldl1 :: (a -> a -> a) -> (f :+: g) a -> a Source #

toList :: (f :+: g) a -> [a] Source #

null :: (f :+: g) a -> Bool Source #

length :: (f :+: g) a -> Int Source #

elem :: Eq a => a -> (f :+: g) a -> Bool Source #

maximum :: Ord a => (f :+: g) a -> a Source #

minimum :: Ord a => (f :+: g) a -> a Source #

sum :: Num a => (f :+: g) a -> a Source #

product :: Num a => (f :+: g) a -> a Source #

Foldable (K1 i c :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => K1 i c m -> m Source #

foldMap :: Monoid m => (a -> m) -> K1 i c a -> m Source #

foldMap' :: Monoid m => (a -> m) -> K1 i c a -> m Source #

foldr :: (a -> b -> b) -> b -> K1 i c a -> b Source #

foldr' :: (a -> b -> b) -> b -> K1 i c a -> b Source #

foldl :: (b -> a -> b) -> b -> K1 i c a -> b Source #

foldl' :: (b -> a -> b) -> b -> K1 i c a -> b Source #

foldr1 :: (a -> a -> a) -> K1 i c a -> a Source #

foldl1 :: (a -> a -> a) -> K1 i c a -> a Source #

toList :: K1 i c a -> [a] Source #

null :: K1 i c a -> Bool Source #

length :: K1 i c a -> Int Source #

elem :: Eq a => a -> K1 i c a -> Bool Source #

maximum :: Ord a => K1 i c a -> a Source #

minimum :: Ord a => K1 i c a -> a Source #

sum :: Num a => K1 i c a -> a Source #

product :: Num a => K1 i c a -> a Source #

(Foldable f, Foldable g) => Foldable (f :.: g)

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => (f :.: g) m -> m Source #

foldMap :: Monoid m => (a -> m) -> (f :.: g) a -> m Source #

foldMap' :: Monoid m => (a -> m) -> (f :.: g) a -> m Source #

foldr :: (a -> b -> b) -> b -> (f :.: g) a -> b Source #

foldr' :: (a -> b -> b) -> b -> (f :.: g) a -> b Source #

foldl :: (b -> a -> b) -> b -> (f :.: g) a -> b Source #

foldl' :: (b -> a -> b) -> b -> (f :.: g) a -> b Source #

foldr1 :: (a -> a -> a) -> (f :.: g) a -> a Source #

foldl1 :: (a -> a -> a) -> (f :.: g) a -> a Source #

toList :: (f :.: g) a -> [a] Source #

null :: (f :.: g) a -> Bool Source #

length :: (f :.: g) a -> Int Source #

elem :: Eq a => a -> (f :.: g) a -> Bool Source #

maximum :: Ord a => (f :.: g) a -> a Source #

minimum :: Ord a => (f :.: g) a -> a Source #

sum :: Num a => (f :.: g) a -> a Source #

product :: Num a => (f :.: g) a -> a Source #

Foldable f => Foldable (M1 i c f)

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => M1 i c f m -> m Source #

foldMap :: Monoid m => (a -> m) -> M1 i c f a -> m Source #

foldMap' :: Monoid m => (a -> m) -> M1 i c f a -> m Source #

foldr :: (a -> b -> b) -> b -> M1 i c f a -> b Source #

foldr' :: (a -> b -> b) -> b -> M1 i c f a -> b Source #

foldl :: (b -> a -> b) -> b -> M1 i c f a -> b Source #

foldl' :: (b -> a -> b) -> b -> M1 i c f a -> b Source #

foldr1 :: (a -> a -> a) -> M1 i c f a -> a Source #

foldl1 :: (a -> a -> a) -> M1 i c f a -> a Source #

toList :: M1 i c f a -> [a] Source #

null :: M1 i c f a -> Bool Source #

length :: M1 i c f a -> Int Source #

elem :: Eq a => a -> M1 i c f a -> Bool Source #

maximum :: Ord a => M1 i c f a -> a Source #

minimum :: Ord a => M1 i c f a -> a Source #

sum :: Num a => M1 i c f a -> a Source #

product :: Num a => M1 i c f a -> a Source #

asum :: (Foldable t, Alternative f) => t (f a) -> f a Source #

The sum of a collection of actions using (<|>), generalizing concat.

asum is just like msum, but generalised to Alternative.

Examples

Expand

Basic usage:

>>> asum [Just "Hello", Nothing, Just "World"]
Just "Hello"

class (Functor t, Foldable t) => Traversable (t :: Type -> Type) Source #

Functors representing data structures that can be transformed to structures of the same shape by performing an Applicative (or, therefore, Monad) action on each element from left to right.

A more detailed description of what same shape means, the various methods, how traversals are constructed, and example advanced use-cases can be found in the Overview section of Data.Traversable.

For the class laws see the Laws section of Data.Traversable.

Minimal complete definition

traverse | sequenceA

Instances

Instances details
Traversable ZipList

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => ZipList (f a) -> f (ZipList a) Source #

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

sequence :: Monad m => ZipList (m a) -> m (ZipList a) Source #

Traversable Identity

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

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

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

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

Traversable First

Since: base-4.8.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => First (f a) -> f (First a) Source #

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

sequence :: Monad m => First (m a) -> m (First a) Source #

Traversable Last

Since: base-4.8.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => Last (f a) -> f (Last a) Source #

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

sequence :: Monad m => Last (m a) -> m (Last a) Source #

Traversable Down

Since: base-4.12.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => Down (f a) -> f (Down a) Source #

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

sequence :: Monad m => Down (m a) -> m (Down a) Source #

Traversable Dual

Since: base-4.8.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => Dual (f a) -> f (Dual a) Source #

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

sequence :: Monad m => Dual (m a) -> m (Dual a) Source #

Traversable Product

Since: base-4.8.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => Product (f a) -> f (Product a) Source #

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

sequence :: Monad m => Product (m a) -> m (Product a) Source #

Traversable Sum

Since: base-4.8.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => Sum (f a) -> f (Sum a) Source #

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

sequence :: Monad m => Sum (m a) -> m (Sum a) Source #

Traversable NonEmpty

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => NonEmpty (f a) -> f (NonEmpty a) Source #

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

sequence :: Monad m => NonEmpty (m a) -> m (NonEmpty a) Source #

Traversable Par1

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> Par1 a -> f (Par1 b) Source #

sequenceA :: Applicative f => Par1 (f a) -> f (Par1 a) Source #

mapM :: Monad m => (a -> m b) -> Par1 a -> m (Par1 b) Source #

sequence :: Monad m => Par1 (m a) -> m (Par1 a) Source #

Traversable IntMap

Traverses in order of increasing key.

Instance details

Defined in Data.IntMap.Internal

Methods

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

sequenceA :: Applicative f => IntMap (f a) -> f (IntMap a) Source #

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

sequence :: Monad m => IntMap (m a) -> m (IntMap a) Source #

Traversable Digit 
Instance details

Defined in Data.Sequence.Internal

Methods

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

sequenceA :: Applicative f => Digit (f a) -> f (Digit a) Source #

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

sequence :: Monad m => Digit (m a) -> m (Digit a) Source #

Traversable Elem 
Instance details

Defined in Data.Sequence.Internal

Methods

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

sequenceA :: Applicative f => Elem (f a) -> f (Elem a) Source #

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

sequence :: Monad m => Elem (m a) -> m (Elem a) Source #

Traversable FingerTree 
Instance details

Defined in Data.Sequence.Internal

Methods

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

sequenceA :: Applicative f => FingerTree (f a) -> f (FingerTree a) Source #

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

sequence :: Monad m => FingerTree (m a) -> m (FingerTree a) Source #

Traversable Node 
Instance details

Defined in Data.Sequence.Internal

Methods

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

sequenceA :: Applicative f => Node (f a) -> f (Node a) Source #

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

sequence :: Monad m => Node (m a) -> m (Node a) Source #

Traversable Seq 
Instance details

Defined in Data.Sequence.Internal

Methods

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

sequenceA :: Applicative f => Seq (f a) -> f (Seq a) Source #

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

sequence :: Monad m => Seq (m a) -> m (Seq a) Source #

Traversable ViewL 
Instance details

Defined in Data.Sequence.Internal

Methods

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

sequenceA :: Applicative f => ViewL (f a) -> f (ViewL a) Source #

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

sequence :: Monad m => ViewL (m a) -> m (ViewL a) Source #

Traversable ViewR 
Instance details

Defined in Data.Sequence.Internal

Methods

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

sequenceA :: Applicative f => ViewR (f a) -> f (ViewR a) Source #

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

sequence :: Monad m => ViewR (m a) -> m (ViewR a) Source #

Traversable Tree 
Instance details

Defined in Data.Tree

Methods

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

sequenceA :: Applicative f => Tree (f a) -> f (Tree a) Source #

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

sequence :: Monad m => Tree (m a) -> m (Tree a) Source #

Traversable Array 
Instance details

Defined in Data.Primitive.Array

Methods

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

sequenceA :: Applicative f => Array (f a) -> f (Array a) Source #

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

sequence :: Monad m => Array (m a) -> m (Array a) Source #

Traversable SmallArray 
Instance details

Defined in Data.Primitive.SmallArray

Methods

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

sequenceA :: Applicative f => SmallArray (f a) -> f (SmallArray a) Source #

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

sequence :: Monad m => SmallArray (m a) -> m (SmallArray a) Source #

Traversable Vector 
Instance details

Defined in Data.Vector

Methods

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

sequenceA :: Applicative f => Vector (f a) -> f (Vector a) Source #

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

sequence :: Monad m => Vector (m a) -> m (Vector a) Source #

Traversable Maybe

Since: base-2.1

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => Maybe (f a) -> f (Maybe a) Source #

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

sequence :: Monad m => Maybe (m a) -> m (Maybe a) Source #

Traversable Solo

Since: base-4.15

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => Solo (f a) -> f (Solo a) Source #

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

sequence :: Monad m => Solo (m a) -> m (Solo a) Source #

Traversable List

Since: base-2.1

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> [a] -> f [b] Source #

sequenceA :: Applicative f => [f a] -> f [a] Source #

mapM :: Monad m => (a -> m b) -> [a] -> m [b] Source #

sequence :: Monad m => [m a] -> m [a] Source #

Traversable (Either a)

Since: base-4.7.0.0

Instance details

Defined in Data.Traversable

Methods

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

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

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

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

Traversable (Proxy :: Type -> Type)

Since: base-4.7.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => Proxy (f a) -> f (Proxy a) Source #

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

sequence :: Monad m => Proxy (m a) -> m (Proxy a) Source #

Ix i => Traversable (Array i)

Since: base-2.1

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> Array i a -> f (Array i b) Source #

sequenceA :: Applicative f => Array i (f a) -> f (Array i a) Source #

mapM :: Monad m => (a -> m b) -> Array i a -> m (Array i b) Source #

sequence :: Monad m => Array i (m a) -> m (Array i a) Source #

Traversable (U1 :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> U1 a -> f (U1 b) Source #

sequenceA :: Applicative f => U1 (f a) -> f (U1 a) Source #

mapM :: Monad m => (a -> m b) -> U1 a -> m (U1 b) Source #

sequence :: Monad m => U1 (m a) -> m (U1 a) Source #

Traversable (UAddr :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => UAddr (f a) -> f (UAddr a) Source #

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

sequence :: Monad m => UAddr (m a) -> m (UAddr a) Source #

Traversable (UChar :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => UChar (f a) -> f (UChar a) Source #

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

sequence :: Monad m => UChar (m a) -> m (UChar a) Source #

Traversable (UDouble :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => UDouble (f a) -> f (UDouble a) Source #

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

sequence :: Monad m => UDouble (m a) -> m (UDouble a) Source #

Traversable (UFloat :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => UFloat (f a) -> f (UFloat a) Source #

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

sequence :: Monad m => UFloat (m a) -> m (UFloat a) Source #

Traversable (UInt :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => UInt (f a) -> f (UInt a) Source #

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

sequence :: Monad m => UInt (m a) -> m (UInt a) Source #

Traversable (UWord :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => UWord (f a) -> f (UWord a) Source #

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

sequence :: Monad m => UWord (m a) -> m (UWord a) Source #

Traversable (V1 :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> V1 a -> f (V1 b) Source #

sequenceA :: Applicative f => V1 (f a) -> f (V1 a) Source #

mapM :: Monad m => (a -> m b) -> V1 a -> m (V1 b) Source #

sequence :: Monad m => V1 (m a) -> m (V1 a) Source #

Traversable (Map k)

Traverses in order of increasing key.

Instance details

Defined in Data.Map.Internal

Methods

traverse :: Applicative f => (a -> f b) -> Map k a -> f (Map k b) Source #

sequenceA :: Applicative f => Map k (f a) -> f (Map k a) Source #

mapM :: Monad m => (a -> m b) -> Map k a -> m (Map k b) Source #

sequence :: Monad m => Map k (m a) -> m (Map k a) Source #

Traversable f => Traversable (MaybeT f) 
Instance details

Defined in Control.Monad.Trans.Maybe

Methods

traverse :: Applicative f0 => (a -> f0 b) -> MaybeT f a -> f0 (MaybeT f b) Source #

sequenceA :: Applicative f0 => MaybeT f (f0 a) -> f0 (MaybeT f a) Source #

mapM :: Monad m => (a -> m b) -> MaybeT f a -> m (MaybeT f b) Source #

sequence :: Monad m => MaybeT f (m a) -> m (MaybeT f a) Source #

Traversable (HashMap k) 
Instance details

Defined in Data.HashMap.Internal

Methods

traverse :: Applicative f => (a -> f b) -> HashMap k a -> f (HashMap k b) Source #

sequenceA :: Applicative f => HashMap k (f a) -> f (HashMap k a) Source #

mapM :: Monad m => (a -> m b) -> HashMap k a -> m (HashMap k b) Source #

sequence :: Monad m => HashMap k (m a) -> m (HashMap k a) Source #

Traversable ((,) a)

Since: base-4.7.0.0

Instance details

Defined in Data.Traversable

Methods

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

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

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

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

Traversable (Const m :: Type -> Type)

Since: base-4.7.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> Const m a -> f (Const m b) Source #

sequenceA :: Applicative f => Const m (f a) -> f (Const m a) Source #

mapM :: Monad m0 => (a -> m0 b) -> Const m a -> m0 (Const m b) Source #

sequence :: Monad m0 => Const m (m0 a) -> m0 (Const m a) Source #

Traversable f => Traversable (Ap f)

Since: base-4.12.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f0 => (a -> f0 b) -> Ap f a -> f0 (Ap f b) Source #

sequenceA :: Applicative f0 => Ap f (f0 a) -> f0 (Ap f a) Source #

mapM :: Monad m => (a -> m b) -> Ap f a -> m (Ap f b) Source #

sequence :: Monad m => Ap f (m a) -> m (Ap f a) Source #

Traversable f => Traversable (Alt f)

Since: base-4.12.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f0 => (a -> f0 b) -> Alt f a -> f0 (Alt f b) Source #

sequenceA :: Applicative f0 => Alt f (f0 a) -> f0 (Alt f a) Source #

mapM :: Monad m => (a -> m b) -> Alt f a -> m (Alt f b) Source #

sequence :: Monad m => Alt f (m a) -> m (Alt f a) Source #

Traversable f => Traversable (Rec1 f)

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f0 => (a -> f0 b) -> Rec1 f a -> f0 (Rec1 f b) Source #

sequenceA :: Applicative f0 => Rec1 f (f0 a) -> f0 (Rec1 f a) Source #

mapM :: Monad m => (a -> m b) -> Rec1 f a -> m (Rec1 f b) Source #

sequence :: Monad m => Rec1 f (m a) -> m (Rec1 f a) Source #

Traversable f => Traversable (ExceptT e f) 
Instance details

Defined in Control.Monad.Trans.Except

Methods

traverse :: Applicative f0 => (a -> f0 b) -> ExceptT e f a -> f0 (ExceptT e f b) Source #

sequenceA :: Applicative f0 => ExceptT e f (f0 a) -> f0 (ExceptT e f a) Source #

mapM :: Monad m => (a -> m b) -> ExceptT e f a -> m (ExceptT e f b) Source #

sequence :: Monad m => ExceptT e f (m a) -> m (ExceptT e f a) Source #

Traversable f => Traversable (IdentityT f) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

traverse :: Applicative f0 => (a -> f0 b) -> IdentityT f a -> f0 (IdentityT f b) Source #

sequenceA :: Applicative f0 => IdentityT f (f0 a) -> f0 (IdentityT f a) Source #

mapM :: Monad m => (a -> m b) -> IdentityT f a -> m (IdentityT f b) Source #

sequence :: Monad m => IdentityT f (m a) -> m (IdentityT f a) Source #

Traversable f => Traversable (WriterT w f) 
Instance details

Defined in Control.Monad.Trans.Writer.Lazy

Methods

traverse :: Applicative f0 => (a -> f0 b) -> WriterT w f a -> f0 (WriterT w f b) Source #

sequenceA :: Applicative f0 => WriterT w f (f0 a) -> f0 (WriterT w f a) Source #

mapM :: Monad m => (a -> m b) -> WriterT w f a -> m (WriterT w f b) Source #

sequence :: Monad m => WriterT w f (m a) -> m (WriterT w f a) Source #

Traversable f => Traversable (WriterT w f) 
Instance details

Defined in Control.Monad.Trans.Writer.Strict

Methods

traverse :: Applicative f0 => (a -> f0 b) -> WriterT w f a -> f0 (WriterT w f b) Source #

sequenceA :: Applicative f0 => WriterT w f (f0 a) -> f0 (WriterT w f a) Source #

mapM :: Monad m => (a -> m b) -> WriterT w f a -> m (WriterT w f b) Source #

sequence :: Monad m => WriterT w f (m a) -> m (WriterT w f a) Source #

(Traversable f, Traversable g) => Traversable (f :*: g)

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f0 => (a -> f0 b) -> (f :*: g) a -> f0 ((f :*: g) b) Source #

sequenceA :: Applicative f0 => (f :*: g) (f0 a) -> f0 ((f :*: g) a) Source #

mapM :: Monad m => (a -> m b) -> (f :*: g) a -> m ((f :*: g) b) Source #

sequence :: Monad m => (f :*: g) (m a) -> m ((f :*: g) a) Source #

(Traversable f, Traversable g) => Traversable (f :+: g)

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f0 => (a -> f0 b) -> (f :+: g) a -> f0 ((f :+: g) b) Source #

sequenceA :: Applicative f0 => (f :+: g) (f0 a) -> f0 ((f :+: g) a) Source #

mapM :: Monad m => (a -> m b) -> (f :+: g) a -> m ((f :+: g) b) Source #

sequence :: Monad m => (f :+: g) (m a) -> m ((f :+: g) a) Source #

Traversable (K1 i c :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> K1 i c a -> f (K1 i c b) Source #

sequenceA :: Applicative f => K1 i c (f a) -> f (K1 i c a) Source #

mapM :: Monad m => (a -> m b) -> K1 i c a -> m (K1 i c b) Source #

sequence :: Monad m => K1 i c (m a) -> m (K1 i c a) Source #

(Traversable f, Traversable g) => Traversable (f :.: g)

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f0 => (a -> f0 b) -> (f :.: g) a -> f0 ((f :.: g) b) Source #

sequenceA :: Applicative f0 => (f :.: g) (f0 a) -> f0 ((f :.: g) a) Source #

mapM :: Monad m => (a -> m b) -> (f :.: g) a -> m ((f :.: g) b) Source #

sequence :: Monad m => (f :.: g) (m a) -> m ((f :.: g) a) Source #

Traversable f => Traversable (M1 i c f)

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f0 => (a -> f0 b) -> M1 i c f a -> f0 (M1 i c f b) Source #

sequenceA :: Applicative f0 => M1 i c f (f0 a) -> f0 (M1 i c f a) Source #

mapM :: Monad m => (a -> m b) -> M1 i c f a -> m (M1 i c f b) Source #

sequence :: Monad m => M1 i c f (m a) -> m (M1 i c f a) Source #

arrow

first :: Arrow a => a b c -> a (b, d) (c, d) Source #

Send the first component of the input through the argument arrow, and copy the rest unchanged to the output.

second :: Arrow a => a b c -> a (d, b) (d, c) Source #

A mirror image of first.

The default definition may be overridden with a more efficient version if desired.

(***) :: Arrow a => a b c -> a b' c' -> a (b, b') (c, c') infixr 3 Source #

Split the input between the two argument arrows and combine their output. Note that this is in general not a functor.

The default definition may be overridden with a more efficient version if desired.

(&&&) :: Arrow a => a b c -> a b c' -> a b (c, c') infixr 3 Source #

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.

Bool

bool :: a -> a -> Bool -> a Source #

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

Expand

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

Maybe

mapMaybe :: (a -> Maybe b) -> [a] -> [b] Source #

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

Expand

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] Source #

The catMaybes function takes a list of Maybes and returns a list of all the Just values.

Examples

Expand

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]

fromMaybe :: a -> Maybe a -> a Source #

The fromMaybe function takes a default value and a Maybe value. If the Maybe is Nothing, it returns the default value; otherwise, it returns the value contained in the Maybe.

Examples

Expand

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

isJust :: Maybe a -> Bool Source #

The isJust function returns True iff its argument is of the form Just _.

Examples

Expand

Basic usage:

>>> isJust (Just 3)
True
>>> isJust (Just ())
True
>>> isJust Nothing
False

Only the outer constructor is taken into consideration:

>>> isJust (Just Nothing)
True

isNothing :: Maybe a -> Bool Source #

The isNothing function returns True iff its argument is Nothing.

Examples

Expand

Basic usage:

>>> isNothing (Just 3)
False
>>> isNothing (Just ())
False
>>> isNothing Nothing
True

Only the outer constructor is taken into consideration:

>>> isNothing (Just Nothing)
False

listToMaybe :: [a] -> Maybe a Source #

The listToMaybe function returns Nothing on an empty list or Just a where a is the first element of the list.

Examples

Expand

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] Source #

The maybeToList function returns an empty list when given Nothing or a singleton list when given Just.

Examples

Expand

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

Either

partitionEithers :: [Either a b] -> ([a], [b]) Source #

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

Expand

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

lefts :: [Either a b] -> [a] Source #

Extracts from a list of Either all the Left elements. All the Left elements are extracted in order.

Examples

Expand

Basic usage:

>>> let list = [ Left "foo", Right 3, Left "bar", Right 7, Left "baz" ]
>>> lefts list
["foo","bar","baz"]

rights :: [Either a b] -> [b] Source #

Extracts from a list of Either all the Right elements. All the Right elements are extracted in order.

Examples

Expand

Basic usage:

>>> let list = [ Left "foo", Right 3, Left "bar", Right 7, Left "baz" ]
>>> rights list
[3,7]

Ord

on :: (b -> b -> c) -> (a -> b) -> a -> a -> c infixl 0 Source #

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)

comparing :: Ord a => (b -> a) -> b -> b -> Ordering Source #

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) ...

equating :: Eq a => (b -> a) -> b -> b -> Bool Source #

newtype Down a Source #

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.

>>> compare True False
GT
>>> compare (Down True) (Down False)
LT

If a has a Bounded instance then the wrapped instance also respects the reversed ordering by exchanging the values of minBound and maxBound.

>>> minBound :: Int
-9223372036854775808
>>> minBound :: Down Int
Down 9223372036854775807

All other instances of Down a behave as they do for a.

Since: base-4.6.0.0

Constructors

Down 

Fields

Instances

Instances details
Foldable Down

Since: base-4.12.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Down m -> m Source #

foldMap :: Monoid m => (a -> m) -> Down a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Down a -> m Source #

foldr :: (a -> b -> b) -> b -> Down a -> b Source #

foldr' :: (a -> b -> b) -> b -> Down a -> b Source #

foldl :: (b -> a -> b) -> b -> Down a -> b Source #

foldl' :: (b -> a -> b) -> b -> Down a -> b Source #

foldr1 :: (a -> a -> a) -> Down a -> a Source #

foldl1 :: (a -> a -> a) -> Down a -> a Source #

toList :: Down a -> [a] Source #

null :: Down a -> Bool Source #

length :: Down a -> Int Source #

elem :: Eq a => a -> Down a -> Bool Source #

maximum :: Ord a => Down a -> a Source #

minimum :: Ord a => Down a -> a Source #

sum :: Num a => Down a -> a Source #

product :: Num a => Down a -> a Source #

Traversable Down

Since: base-4.12.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => Down (f a) -> f (Down a) Source #

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

sequence :: Monad m => Down (m a) -> m (Down a) Source #

Applicative Down

Since: base-4.11.0.0

Instance details

Defined in Data.Ord

Methods

pure :: a -> Down a Source #

(<*>) :: Down (a -> b) -> Down a -> Down b Source #

liftA2 :: (a -> b -> c) -> Down a -> Down b -> Down c Source #

(*>) :: Down a -> Down b -> Down b Source #

(<*) :: Down a -> Down b -> Down a Source #

Functor Down

Since: base-4.11.0.0

Instance details

Defined in Data.Ord

Methods

fmap :: (a -> b) -> Down a -> Down b Source #

(<$) :: a -> Down b -> Down a Source #

Monad Down

Since: base-4.11.0.0

Instance details

Defined in Data.Ord

Methods

(>>=) :: Down a -> (a -> Down b) -> Down b Source #

(>>) :: Down a -> Down b -> Down b Source #

return :: a -> Down a Source #

Generic1 Down 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 Down :: k -> Type Source #

Methods

from1 :: forall (a :: k). Down a -> Rep1 Down a Source #

to1 :: forall (a :: k). Rep1 Down a -> Down a Source #

Unbox a => Vector Vector (Down a) 
Instance details

Defined in Data.Vector.Unboxed.Base

Unbox a => MVector MVector (Down a) 
Instance details

Defined in Data.Vector.Unboxed.Base

Methods

basicLength :: MVector s (Down a) -> Int Source #

basicUnsafeSlice :: Int -> Int -> MVector s (Down a) -> MVector s (Down a) Source #

basicOverlaps :: MVector s (Down a) -> MVector s (Down a) -> Bool Source #

basicUnsafeNew :: Int -> ST s (MVector s (Down a)) Source #

basicInitialize :: MVector s (Down a) -> ST s () Source #

basicUnsafeReplicate :: Int -> Down a -> ST s (MVector s (Down a)) Source #

basicUnsafeRead :: MVector s (Down a) -> Int -> ST s (Down a) Source #

basicUnsafeWrite :: MVector s (Down a) -> Int -> Down a -> ST s () Source #

basicClear :: MVector s (Down a) -> ST s () Source #

basicSet :: MVector s (Down a) -> Down a -> ST s () Source #

basicUnsafeCopy :: MVector s (Down a) -> MVector s (Down a) -> ST s () Source #

basicUnsafeMove :: MVector s (Down a) -> MVector s (Down a) -> ST s () Source #

basicUnsafeGrow :: MVector s (Down a) -> Int -> ST s (MVector s (Down a)) Source #

Storable a => Storable (Down a)

Since: base-4.14.0.0

Instance details

Defined in Data.Ord

Methods

sizeOf :: Down a -> Int Source #

alignment :: Down a -> Int Source #

peekElemOff :: Ptr (Down a) -> Int -> IO (Down a) Source #

pokeElemOff :: Ptr (Down a) -> Int -> Down a -> IO () Source #

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

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

peek :: Ptr (Down a) -> IO (Down a) Source #

poke :: Ptr (Down a) -> Down a -> IO () Source #

Monoid a => Monoid (Down a)

Since: base-4.11.0.0

Instance details

Defined in Data.Ord

Methods

mempty :: Down a Source #

mappend :: Down a -> Down a -> Down a Source #

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

Semigroup a => Semigroup (Down a)

Since: base-4.11.0.0

Instance details

Defined in Data.Ord

Methods

(<>) :: Down a -> Down a -> Down a Source #

sconcat :: NonEmpty (Down a) -> Down a Source #

stimes :: Integral b => b -> Down a -> Down a Source #

Bits a => Bits (Down a)

Since: base-4.14.0.0

Instance details

Defined in Data.Ord

Methods

(.&.) :: Down a -> Down a -> Down a Source #

(.|.) :: Down a -> Down a -> Down a Source #

xor :: Down a -> Down a -> Down a Source #

complement :: Down a -> Down a Source #

shift :: Down a -> Int -> Down a Source #

rotate :: Down a -> Int -> Down a Source #

zeroBits :: Down a Source #

bit :: Int -> Down a Source #

setBit :: Down a -> Int -> Down a Source #

clearBit :: Down a -> Int -> Down a Source #

complementBit :: Down a -> Int -> Down a Source #

testBit :: Down a -> Int -> Bool Source #

bitSizeMaybe :: Down a -> Maybe Int Source #

bitSize :: Down a -> Int Source #

isSigned :: Down a -> Bool Source #

shiftL :: Down a -> Int -> Down a Source #

unsafeShiftL :: Down a -> Int -> Down a Source #

shiftR :: Down a -> Int -> Down a Source #

unsafeShiftR :: Down a -> Int -> Down a Source #

rotateL :: Down a -> Int -> Down a Source #

rotateR :: Down a -> Int -> Down a Source #

popCount :: Down a -> Int Source #

FiniteBits a => FiniteBits (Down a)

Since: base-4.14.0.0

Instance details

Defined in Data.Ord

Bounded a => Bounded (Down a)

Swaps minBound and maxBound of the underlying type.

Since: base-4.14.0.0

Instance details

Defined in Data.Ord

(Enum a, Bounded a, Eq a) => Enum (Down a)

Swaps succ and pred of the underlying type.

Since: base-4.18.0.0

Instance details

Defined in Data.Ord

Methods

succ :: Down a -> Down a Source #

pred :: Down a -> Down a Source #

toEnum :: Int -> Down a Source #

fromEnum :: Down a -> Int Source #

enumFrom :: Down a -> [Down a] Source #

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

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

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

Floating a => Floating (Down a)

Since: base-4.14.0.0

Instance details

Defined in Data.Ord

Methods

pi :: Down a Source #

exp :: Down a -> Down a Source #

log :: Down a -> Down a Source #

sqrt :: Down a -> Down a Source #

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

logBase :: Down a -> Down a -> Down a Source #

sin :: Down a -> Down a Source #

cos :: Down a -> Down a Source #

tan :: Down a -> Down a Source #

asin :: Down a -> Down a Source #

acos :: Down a -> Down a Source #

atan :: Down a -> Down a Source #

sinh :: Down a -> Down a Source #

cosh :: Down a -> Down a Source #

tanh :: Down a -> Down a Source #

asinh :: Down a -> Down a Source #

acosh :: Down a -> Down a Source #

atanh :: Down a -> Down a Source #

log1p :: Down a -> Down a Source #

expm1 :: Down a -> Down a Source #

log1pexp :: Down a -> Down a Source #

log1mexp :: Down a -> Down a Source #

RealFloat a => RealFloat (Down a)

Since: base-4.14.0.0

Instance details

Defined in Data.Ord

Generic (Down a) 
Instance details

Defined in GHC.Generics

Associated Types

type Rep (Down a) :: Type -> Type Source #

Methods

from :: Down a -> Rep (Down a) x Source #

to :: Rep (Down a) x -> Down a Source #

Ix a => Ix (Down a)

Since: base-4.14.0.0

Instance details

Defined in Data.Ord

Methods

range :: (Down a, Down a) -> [Down a] Source #

index :: (Down a, Down a) -> Down a -> Int Source #

unsafeIndex :: (Down a, Down a) -> Down a -> Int Source #

inRange :: (Down a, Down a) -> Down a -> Bool Source #

rangeSize :: (Down a, Down a) -> Int Source #

unsafeRangeSize :: (Down a, Down a) -> Int Source #

Num a => Num (Down a)

Since: base-4.11.0.0

Instance details

Defined in Data.Ord

Methods

(+) :: Down a -> Down a -> Down a Source #

(-) :: Down a -> Down a -> Down a Source #

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

negate :: Down a -> Down a Source #

abs :: Down a -> Down a Source #

signum :: Down a -> Down a Source #

fromInteger :: Integer -> Down a Source #

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

Instance details

Defined in Data.Ord

Fractional a => Fractional (Down a)

Since: base-4.14.0.0

Instance details

Defined in Data.Ord

Methods

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

recip :: Down a -> Down a Source #

fromRational :: Rational -> Down a Source #

Real a => Real (Down a)

Since: base-4.14.0.0

Instance details

Defined in Data.Ord

RealFrac a => RealFrac (Down a)

Since: base-4.14.0.0

Instance details

Defined in Data.Ord

Methods

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

truncate :: Integral b => Down a -> b Source #

round :: Integral b => Down a -> b Source #

ceiling :: Integral b => Down a -> b Source #

floor :: Integral b => Down a -> b Source #

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

Instance details

Defined in Data.Ord

Methods

showsPrec :: Int -> Down a -> ShowS Source #

show :: Down a -> String Source #

showList :: [Down a] -> ShowS Source #

Eq a => Eq (Down a)

Since: base-4.6.0.0

Instance details

Defined in Data.Ord

Methods

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

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

Ord a => Ord (Down a)

Since: base-4.6.0.0

Instance details

Defined in Data.Ord

Methods

compare :: Down a -> Down a -> Ordering Source #

(<) :: Down a -> Down a -> Bool Source #

(<=) :: Down a -> Down a -> Bool Source #

(>) :: Down a -> Down a -> Bool Source #

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

max :: Down a -> Down a -> Down a Source #

min :: Down a -> Down a -> Down a Source #

Unbox a => Unbox (Down a) 
Instance details

Defined in Data.Vector.Unboxed.Base

type Rep1 Down

Since: base-4.12.0.0

Instance details

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))
newtype MVector s (Down a) 
Instance details

Defined in Data.Vector.Unboxed.Base

newtype MVector s (Down a) = MV_Down (MVector s a)
type Rep (Down a)

Since: base-4.12.0.0

Instance details

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)))
newtype Vector (Down a) 
Instance details

Defined in Data.Vector.Unboxed.Base

newtype Vector (Down a) = V_Down (Vector a)

Applicative

class Functor f => Applicative (f :: Type -> Type) where Source #

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:

As a consequence of these laws, the Functor instance for f will satisfy

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

(which implies that pure and <*> satisfy the applicative functor laws).

Minimal complete definition

pure, ((<*>) | liftA2)

Methods

pure :: a -> f a Source #

Lift a value.

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

Sequential application.

A few functors support an implementation of <*> that is more efficient than the default one.

Example

Expand

Used in combination with (<$>), (<*>) can be used to build a record.

>>> data MyState = MyState {arg1 :: Foo, arg2 :: Bar, arg3 :: Baz}
>>> produceFoo :: Applicative f => f Foo
>>> produceBar :: Applicative f => f Bar
>>> produceBaz :: Applicative f => f Baz
>>> mkState :: Applicative f => f MyState
>>> mkState = MyState <$> produceFoo <*> produceBar <*> produceBaz

liftA2 :: (a -> b -> c) -> f a -> f b -> f c Source #

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.

Example

Expand
>>> liftA2 (,) (Just 3) (Just 5)
Just (3,5)

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

Sequence actions, discarding the value of the first argument.

Examples

Expand

If used in conjunction with the Applicative instance for Maybe, you can chain Maybe computations, with a possible "early return" in case of Nothing.

>>> Just 2 *> Just 3
Just 3
>>> Nothing *> Just 3
Nothing

Of course a more interesting use case would be to have effectful computations instead of just returning pure values.

>>> import Data.Char
>>> import Text.ParserCombinators.ReadP
>>> let p = string "my name is " *> munch1 isAlpha <* eof
>>> readP_to_S p "my name is Simon"
[("Simon","")]

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

Sequence actions, discarding the value of the second argument.

Instances

Instances details
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

Instance details

Defined in Control.Applicative

Methods

pure :: a -> ZipList a Source #

(<*>) :: ZipList (a -> b) -> ZipList a -> ZipList b Source #

liftA2 :: (a -> b -> c) -> ZipList a -> ZipList b -> ZipList c Source #

(*>) :: ZipList a -> ZipList b -> ZipList b Source #

(<*) :: ZipList a -> ZipList b -> ZipList a Source #

Applicative First

Since: base-4.8.0.0

Instance details

Defined in Data.Monoid

Methods

pure :: a -> First a Source #

(<*>) :: First (a -> b) -> First a -> First b Source #

liftA2 :: (a -> b -> c) -> First a -> First b -> First c Source #

(*>) :: First a -> First b -> First b Source #

(<*) :: First a -> First b -> First a Source #

Applicative Last

Since: base-4.8.0.0

Instance details

Defined in Data.Monoid

Methods

pure :: a -> Last a Source #

(<*>) :: Last (a -> b) -> Last a -> Last b Source #

liftA2 :: (a -> b -> c) -> Last a -> Last b -> Last c Source #

(*>) :: Last a -> Last b -> Last b Source #

(<*) :: Last a -> Last b -> Last a Source #

Applicative Down

Since: base-4.11.0.0

Instance details

Defined in Data.Ord

Methods

pure :: a -> Down a Source #

(<*>) :: Down (a -> b) -> Down a -> Down b Source #

liftA2 :: (a -> b -> c) -> Down a -> Down b -> Down c Source #

(*>) :: Down a -> Down b -> Down b Source #

(<*) :: Down a -> Down b -> Down a Source #

Applicative NonEmpty

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

pure :: a -> NonEmpty a Source #

(<*>) :: NonEmpty (a -> b) -> NonEmpty a -> NonEmpty b Source #

liftA2 :: (a -> b -> c) -> NonEmpty a -> NonEmpty b -> NonEmpty c Source #

(*>) :: NonEmpty a -> NonEmpty b -> NonEmpty b Source #

(<*) :: NonEmpty a -> NonEmpty b -> NonEmpty a Source #

Applicative Par1

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

pure :: a -> Par1 a Source #

(<*>) :: Par1 (a -> b) -> Par1 a -> Par1 b Source #

liftA2 :: (a -> b -> c) -> Par1 a -> Par1 b -> Par1 c Source #

(*>) :: Par1 a -> Par1 b -> Par1 b Source #

(<*) :: Par1 a -> Par1 b -> Par1 a Source #

Applicative P

Since: base-4.5.0.0

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

pure :: a -> P a Source #

(<*>) :: P (a -> b) -> P a -> P b Source #

liftA2 :: (a -> b -> c) -> P a -> P b -> P c Source #

(*>) :: P a -> P b -> P b Source #

(<*) :: P a -> P b -> P a Source #

Applicative ReadP

Since: base-4.6.0.0

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

pure :: a -> ReadP a Source #

(<*>) :: ReadP (a -> b) -> ReadP a -> ReadP b Source #

liftA2 :: (a -> b -> c) -> ReadP a -> ReadP b -> ReadP c Source #

(*>) :: ReadP a -> ReadP b -> ReadP b Source #

(<*) :: ReadP a -> ReadP b -> ReadP a Source #

Applicative Seq

Since: containers-0.5.4

Instance details

Defined in Data.Sequence.Internal

Methods

pure :: a -> Seq a Source #

(<*>) :: Seq (a -> b) -> Seq a -> Seq b Source #

liftA2 :: (a -> b -> c) -> Seq a -> Seq b -> Seq c Source #

(*>) :: Seq a -> Seq b -> Seq b Source #

(<*) :: Seq a -> Seq b -> Seq a Source #

Applicative Tree 
Instance details

Defined in Data.Tree

Methods

pure :: a -> Tree a Source #

(<*>) :: Tree (a -> b) -> Tree a -> Tree b Source #

liftA2 :: (a -> b -> c) -> Tree a -> Tree b -> Tree c Source #

(*>) :: Tree a -> Tree b -> Tree b Source #

(<*) :: Tree a -> Tree b -> Tree a Source #

Applicative IO

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

pure :: a -> IO a Source #

(<*>) :: IO (a -> b) -> IO a -> IO b Source #

liftA2 :: (a -> b -> c) -> IO a -> IO b -> IO c Source #

(*>) :: IO a -> IO b -> IO b Source #

(<*) :: IO a -> IO b -> IO a Source #

Applicative Array 
Instance details

Defined in Data.Primitive.Array

Methods

pure :: a -> Array a Source #

(<*>) :: Array (a -> b) -> Array a -> Array b Source #

liftA2 :: (a -> b -> c) -> Array a -> Array b -> Array c Source #

(*>) :: Array a -> Array b -> Array b Source #

(<*) :: Array a -> Array b -> Array a Source #

Applicative SmallArray 
Instance details

Defined in Data.Primitive.SmallArray

Methods

pure :: a -> SmallArray a Source #

(<*>) :: SmallArray (a -> b) -> SmallArray a -> SmallArray b Source #

liftA2 :: (a -> b -> c) -> SmallArray a -> SmallArray b -> SmallArray c Source #

(*>) :: SmallArray a -> SmallArray b -> SmallArray b Source #

(<*) :: SmallArray a -> SmallArray b -> SmallArray a Source #

Applicative Q 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

pure :: a -> Q a Source #

(<*>) :: Q (a -> b) -> Q a -> Q b Source #

liftA2 :: (a -> b -> c) -> Q a -> Q b -> Q c Source #

(*>) :: Q a -> Q b -> Q b Source #

(<*) :: Q a -> Q b -> Q a Source #

Applicative Vector 
Instance details

Defined in Data.Vector

Methods

pure :: a -> Vector a Source #

(<*>) :: Vector (a -> b) -> Vector a -> Vector b Source #

liftA2 :: (a -> b -> c) -> Vector a -> Vector b -> Vector c Source #

(*>) :: Vector a -> Vector b -> Vector b Source #

(<*) :: Vector a -> Vector b -> Vector a Source #

Applicative Maybe

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

pure :: a -> Maybe a Source #

(<*>) :: Maybe (a -> b) -> Maybe a -> Maybe b Source #

liftA2 :: (a -> b -> c) -> Maybe a -> Maybe b -> Maybe c Source #

(*>) :: Maybe a -> Maybe b -> Maybe b Source #

(<*) :: Maybe a -> Maybe b -> Maybe a Source #

Applicative Solo

Since: base-4.15

Instance details

Defined in GHC.Base

Methods

pure :: a -> Solo a Source #

(<*>) :: Solo (a -> b) -> Solo a -> Solo b Source #

liftA2 :: (a -> b -> c) -> Solo a -> Solo b -> Solo c Source #

(*>) :: Solo a -> Solo b -> Solo b Source #

(<*) :: Solo a -> Solo b -> Solo a Source #

Applicative List

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

pure :: a -> [a] Source #

(<*>) :: [a -> b] -> [a] -> [b] Source #

liftA2 :: (a -> b -> c) -> [a] -> [b] -> [c] Source #

(*>) :: [a] -> [b] -> [b] Source #

(<*) :: [a] -> [b] -> [a] Source #

Monad m => Applicative (WrappedMonad m)

Since: base-2.1

Instance details

Defined in Control.Applicative

Methods

pure :: a -> WrappedMonad m a Source #

(<*>) :: WrappedMonad m (a -> b) -> WrappedMonad m a -> WrappedMonad m b Source #

liftA2 :: (a -> b -> c) -> WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m c Source #

(*>) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m b Source #

(<*) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m a Source #

Arrow a => Applicative (ArrowMonad a)

Since: base-4.6.0.0

Instance details

Defined in Control.Arrow

Methods

pure :: a0 -> ArrowMonad a a0 Source #

(<*>) :: ArrowMonad a (a0 -> b) -> ArrowMonad a a0 -> ArrowMonad a b Source #

liftA2 :: (a0 -> b -> c) -> ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a c Source #

(*>) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a b Source #

(<*) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a a0 Source #

Applicative (Either e)

Since: base-3.0

Instance details

Defined in Data.Either

Methods

pure :: a -> Either e a Source #

(<*>) :: Either e (a -> b) -> Either e a -> Either e b Source #

liftA2 :: (a -> b -> c) -> Either e a -> Either e b -> Either e c Source #

(*>) :: Either e a -> Either e b -> Either e b Source #

(<*) :: Either e a -> Either e b -> Either e a Source #

Applicative (U1 :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

pure :: a -> U1 a Source #

(<*>) :: U1 (a -> b) -> U1 a -> U1 b Source #

liftA2 :: (a -> b -> c) -> U1 a -> U1 b -> U1 c Source #

(*>) :: U1 a -> U1 b -> U1 b Source #

(<*) :: U1 a -> U1 b -> U1 a Source #

(Functor m, Monad m) => Applicative (MaybeT m) 
Instance details

Defined in Control.Monad.Trans.Maybe

Methods

pure :: a -> MaybeT m a Source #

(<*>) :: MaybeT m (a -> b) -> MaybeT m a -> MaybeT m b Source #

liftA2 :: (a -> b -> c) -> MaybeT m a -> MaybeT m b -> MaybeT m c Source #

(*>) :: MaybeT m a -> MaybeT m b -> MaybeT m b Source #

(<*) :: MaybeT m a -> MaybeT m b -> MaybeT m a Source #

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

Instance details

Defined in GHC.Base

Methods

pure :: a0 -> (a, a0) Source #

(<*>) :: (a, a0 -> b) -> (a, a0) -> (a, b) Source #

liftA2 :: (a0 -> b -> c) -> (a, a0) -> (a, b) -> (a, c) Source #

(*>) :: (a, a0) -> (a, b) -> (a, b) Source #

(<*) :: (a, a0) -> (a, b) -> (a, a0) Source #

Arrow a => Applicative (WrappedArrow a b)

Since: base-2.1

Instance details

Defined in Control.Applicative

Methods

pure :: a0 -> WrappedArrow a b a0 Source #

(<*>) :: WrappedArrow a b (a0 -> b0) -> WrappedArrow a b a0 -> WrappedArrow a b b0 Source #

liftA2 :: (a0 -> b0 -> c) -> WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b c Source #

(*>) :: WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b b0 Source #

(<*) :: WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b a0 Source #

Applicative m => Applicative (Kleisli m a)

Since: base-4.14.0.0

Instance details

Defined in Control.Arrow

Methods

pure :: a0 -> Kleisli m a a0 Source #

(<*>) :: Kleisli m a (a0 -> b) -> Kleisli m a a0 -> Kleisli m a b Source #

liftA2 :: (a0 -> b -> c) -> Kleisli m a a0 -> Kleisli m a b -> Kleisli m a c Source #

(*>) :: Kleisli m a a0 -> Kleisli m a b -> Kleisli m a b Source #

(<*) :: Kleisli m a a0 -> Kleisli m a b -> Kleisli m a a0 Source #

Monoid m => Applicative (Const m :: Type -> Type)

Since: base-2.0.1

Instance details

Defined in Data.Functor.Const

Methods

pure :: a -> Const m a Source #

(<*>) :: Const m (a -> b) -> Const m a -> Const m b Source #

liftA2 :: (a -> b -> c) -> Const m a -> Const m b -> Const m c Source #

(*>) :: Const m a -> Const m b -> Const m b Source #

(<*) :: Const m a -> Const m b -> Const m a Source #

Applicative f => Applicative (Ap f)

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

pure :: a -> Ap f a Source #

(<*>) :: Ap f (a -> b) -> Ap f a -> Ap f b Source #

liftA2 :: (a -> b -> c) -> Ap f a -> Ap f b -> Ap f c Source #

(*>) :: Ap f a -> Ap f b -> Ap f b Source #

(<*) :: Ap f a -> Ap f b -> Ap f a Source #

(Generic1 f, Applicative (Rep1 f)) => Applicative (Generically1 f)

Since: base-4.17.0.0

Instance details

Defined in GHC.Generics

Methods

pure :: a -> Generically1 f a Source #

(<*>) :: Generically1 f (a -> b) -> Generically1 f a -> Generically1 f b Source #

liftA2 :: (a -> b -> c) -> Generically1 f a -> Generically1 f b -> Generically1 f c Source #

(*>) :: Generically1 f a -> Generically1 f b -> Generically1 f b Source #

(<*) :: Generically1 f a -> Generically1 f b -> Generically1 f a Source #

Applicative f => Applicative (Rec1 f)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

pure :: a -> Rec1 f a Source #

(<*>) :: Rec1 f (a -> b) -> Rec1 f a -> Rec1 f b Source #

liftA2 :: (a -> b -> c) -> Rec1 f a -> Rec1 f b -> Rec1 f c Source #

(*>) :: Rec1 f a -> Rec1 f b -> Rec1 f b Source #

(<*) :: Rec1 f a -> Rec1 f b -> Rec1 f a Source #

(Applicative f, Monad f) => Applicative (WhenMissing f x)

Equivalent to ReaderT k (ReaderT x (MaybeT f)).

Since: containers-0.5.9

Instance details

Defined in Data.IntMap.Internal

Methods

pure :: a -> WhenMissing f x a Source #

(<*>) :: WhenMissing f x (a -> b) -> WhenMissing f x a -> WhenMissing f x b Source #

liftA2 :: (a -> b -> c) -> WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x c Source #

(*>) :: WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x b Source #

(<*) :: WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x a Source #

(Monoid w, Functor m, Monad m) => Applicative (AccumT w m) 
Instance details

Defined in Control.Monad.Trans.Accum

Methods

pure :: a -> AccumT w m a Source #

(<*>) :: AccumT w m (a -> b) -> AccumT w m a -> AccumT w m b Source #

liftA2 :: (a -> b -> c) -> AccumT w m a -> AccumT w m b -> AccumT w m c Source #

(*>) :: AccumT w m a -> AccumT w m b -> AccumT w m b Source #

(<*) :: AccumT w m a -> AccumT w m b -> AccumT w m a Source #

(Functor m, Monad m) => Applicative (ExceptT e m) 
Instance details

Defined in Control.Monad.Trans.Except

Methods

pure :: a -> ExceptT e m a Source #

(<*>) :: ExceptT e m (a -> b) -> ExceptT e m a -> ExceptT e m b Source #

liftA2 :: (a -> b -> c) -> ExceptT e m a -> ExceptT e m b -> ExceptT e m c Source #

(*>) :: ExceptT e m a -> ExceptT e m b -> ExceptT e m b Source #

(<*) :: ExceptT e m a -> ExceptT e m b -> ExceptT e m a Source #

Applicative m => Applicative (IdentityT m) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

pure :: a -> IdentityT m a Source #

(<*>) :: IdentityT m (a -> b) -> IdentityT m a -> IdentityT m b Source #

liftA2 :: (a -> b -> c) -> IdentityT m a -> IdentityT m b -> IdentityT m c Source #

(*>) :: IdentityT m a -> IdentityT m b -> IdentityT m b Source #

(<*) :: IdentityT m a -> IdentityT m b -> IdentityT m a Source #

Applicative m => Applicative (ReaderT r m) 
Instance details

Defined in Control.Monad.Trans.Reader

Methods

pure :: a -> ReaderT r m a Source #

(<*>) :: ReaderT r m (a -> b) -> ReaderT r m a -> ReaderT r m b Source #

liftA2 :: (a -> b -> c) -> ReaderT r m a -> ReaderT r m b -> ReaderT r m c Source #

(*>) :: ReaderT r m a -> ReaderT r m b -> ReaderT r m b Source #

(<*) :: ReaderT r m a -> ReaderT r m b -> ReaderT r m a Source #

(Functor m, Monad m) => Applicative (SelectT r m) 
Instance details

Defined in Control.Monad.Trans.Select

Methods

pure :: a -> SelectT r m a Source #

(<*>) :: SelectT r m (a -> b) -> SelectT r m a -> SelectT r m b Source #

liftA2 :: (a -> b -> c) -> SelectT r m a -> SelectT r m b -> SelectT r m c Source #

(*>) :: SelectT r m a -> SelectT r m b -> SelectT r m b Source #

(<*) :: SelectT r m a -> SelectT r m b -> SelectT r m a Source #

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

Defined in Control.Monad.Trans.State.Lazy

Methods

pure :: a -> StateT s m a Source #

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

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

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

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

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

Defined in Control.Monad.Trans.State.Strict

Methods

pure :: a -> StateT s m a Source #

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

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

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

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

(Functor m, Monad m) => Applicative (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.CPS

Methods

pure :: a -> WriterT w m a Source #

(<*>) :: WriterT w m (a -> b) -> WriterT w m a -> WriterT w m b Source #

liftA2 :: (a -> b -> c) -> WriterT w m a -> WriterT w m b -> WriterT w m c Source #

(*>) :: WriterT w m a -> WriterT w m b -> WriterT w m b Source #

(<*) :: WriterT w m a -> WriterT w m b -> WriterT w m a Source #

(Monoid w, Applicative m) => Applicative (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.Lazy

Methods

pure :: a -> WriterT w m a Source #

(<*>) :: WriterT w m (a -> b) -> WriterT w m a -> WriterT w m b Source #

liftA2 :: (a -> b -> c) -> WriterT w m a -> WriterT w m b -> WriterT w m c Source #

(*>) :: WriterT w m a -> WriterT w m b -> WriterT w m b Source #

(<*) :: WriterT w m a -> WriterT w m b -> WriterT w m a Source #

(Monoid w, Applicative m) => Applicative (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.Strict

Methods

pure :: a -> WriterT w m a Source #

(<*>) :: WriterT w m (a -> b) -> WriterT w m a -> WriterT w m b Source #

liftA2 :: (a -> b -> c) -> WriterT w m a -> WriterT w m b -> WriterT w m c Source #

(*>) :: WriterT w m a -> WriterT w m b -> WriterT w m b Source #

(<*) :: WriterT w m a -> WriterT w m b -> WriterT w m a Source #

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

Since: base-4.14.0.0

Instance details

Defined in GHC.Base

Methods

pure :: a0 -> (a, b, a0) Source #

(<*>) :: (a, b, a0 -> b0) -> (a, b, a0) -> (a, b, b0) Source #

liftA2 :: (a0 -> b0 -> c) -> (a, b, a0) -> (a, b, b0) -> (a, b, c) Source #

(*>) :: (a, b, a0) -> (a, b, b0) -> (a, b, b0) Source #

(<*) :: (a, b, a0) -> (a, b, b0) -> (a, b, a0) Source #

(Applicative f, Applicative g) => Applicative (f :*: g)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

pure :: a -> (f :*: g) a Source #

(<*>) :: (f :*: g) (a -> b) -> (f :*: g) a -> (f :*: g) b Source #

liftA2 :: (a -> b -> c) -> (f :*: g) a -> (f :*: g) b -> (f :*: g) c Source #

(*>) :: (f :*: g) a -> (f :*: g) b -> (f :*: g) b Source #

(<*) :: (f :*: g) a -> (f :*: g) b -> (f :*: g) a Source #

Monoid c => Applicative (K1 i c :: Type -> Type)

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

Methods

pure :: a -> K1 i c a Source #

(<*>) :: K1 i c (a -> b) -> K1 i c a -> K1 i c b Source #

liftA2 :: (a -> b -> c0) -> K1 i c a -> K1 i c b -> K1 i c c0 Source #

(*>) :: K1 i c a -> K1 i c b -> K1 i c b Source #

(<*) :: K1 i c a -> K1 i c b -> K1 i c a Source #

(Monad f, Applicative f) => Applicative (WhenMatched f x y)

Equivalent to ReaderT Key (ReaderT x (ReaderT y (MaybeT f)))

Since: containers-0.5.9

Instance details

Defined in Data.IntMap.Internal

Methods

pure :: a -> WhenMatched f x y a Source #

(<*>) :: WhenMatched f x y (a -> b) -> WhenMatched f x y a -> WhenMatched f x y b Source #

liftA2 :: (a -> b -> c) -> WhenMatched f x y a -> WhenMatched f x y b -> WhenMatched f x y c Source #

(*>) :: WhenMatched f x y a -> WhenMatched f x y b -> WhenMatched f x y b Source #

(<*) :: WhenMatched f x y a -> WhenMatched f x y b -> WhenMatched f x y a Source #

(Applicative f, Monad f) => Applicative (WhenMissing f k x)

Equivalent to ReaderT k (ReaderT x (MaybeT f)) .

Since: containers-0.5.9

Instance details

Defined in Data.Map.Internal

Methods

pure :: a -> WhenMissing f k x a Source #

(<*>) :: WhenMissing f k x (a -> b) -> WhenMissing f k x a -> WhenMissing f k x b Source #

liftA2 :: (a -> b -> c) -> WhenMissing f k x a -> WhenMissing f k x b -> WhenMissing f k x c Source #

(*>) :: WhenMissing f k x a -> WhenMissing f k x b -> WhenMissing f k x b Source #

(<*) :: WhenMissing f k x a -> WhenMissing f k x b -> WhenMissing f k x a Source #

Applicative (ContT r m) 
Instance details

Defined in Control.Monad.Trans.Cont

Methods

pure :: a -> ContT r m a Source #

(<*>) :: ContT r m (a -> b) -> ContT r m a -> ContT r m b Source #

liftA2 :: (a -> b -> c) -> ContT r m a -> ContT r m b -> ContT r m c Source #

(*>) :: ContT r m a -> ContT r m b -> ContT r m b Source #

(<*) :: ContT r m a -> ContT r m b -> ContT r m a Source #

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

Since: base-4.14.0.0

Instance details

Defined in GHC.Base

Methods

pure :: a0 -> (a, b, c, a0) Source #

(<*>) :: (a, b, c, a0 -> b0) -> (a, b, c, a0) -> (a, b, c, b0) Source #

liftA2 :: (a0 -> b0 -> c0) -> (a, b, c, a0) -> (a, b, c, b0) -> (a, b, c, c0) Source #

(*>) :: (a, b, c, a0) -> (a, b, c, b0) -> (a, b, c, b0) Source #

(<*) :: (a, b, c, a0) -> (a, b, c, b0) -> (a, b, c, a0) Source #

Applicative ((->) r)

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

pure :: a -> r -> a Source #

(<*>) :: (r -> (a -> b)) -> (r -> a) -> r -> b Source #

liftA2 :: (a -> b -> c) -> (r -> a) -> (r -> b) -> r -> c Source #

(*>) :: (r -> a) -> (r -> b) -> r -> b Source #

(<*) :: (r -> a) -> (r -> b) -> r -> a Source #

(Applicative f, Applicative g) => Applicative (f :.: g)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

pure :: a -> (f :.: g) a Source #

(<*>) :: (f :.: g) (a -> b) -> (f :.: g) a -> (f :.: g) b Source #

liftA2 :: (a -> b -> c) -> (f :.: g) a -> (f :.: g) b -> (f :.: g) c Source #

(*>) :: (f :.: g) a -> (f :.: g) b -> (f :.: g) b Source #

(<*) :: (f :.: g) a -> (f :.: g) b -> (f :.: g) a Source #

Applicative f => Applicative (M1 i c f)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

pure :: a -> M1 i c f a Source #

(<*>) :: M1 i c f (a -> b) -> M1 i c f a -> M1 i c f b Source #

liftA2 :: (a -> b -> c0) -> M1 i c f a -> M1 i c f b -> M1 i c f c0 Source #

(*>) :: M1 i c f a -> M1 i c f b -> M1 i c f b Source #

(<*) :: M1 i c f a -> M1 i c f b -> M1 i c f a Source #

(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

Instance details

Defined in Data.Map.Internal

Methods

pure :: a -> WhenMatched f k x y a Source #

(<*>) :: WhenMatched f k x y (a -> b) -> WhenMatched f k x y a -> WhenMatched f k x y b Source #

liftA2 :: (a -> b -> c) -> WhenMatched f k x y a -> WhenMatched f k x y b -> WhenMatched f k x y c Source #

(*>) :: WhenMatched f k x y a -> WhenMatched f k x y b -> WhenMatched f k x y b Source #

(<*) :: WhenMatched f k x y a -> WhenMatched f k x y b -> WhenMatched f k x y a Source #

(Functor m, Monad m) => Applicative (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.CPS

Methods

pure :: a -> RWST r w s m a Source #

(<*>) :: RWST r w s m (a -> b) -> RWST r w s m a -> RWST r w s m b Source #

liftA2 :: (a -> b -> c) -> RWST r w s m a -> RWST r w s m b -> RWST r w s m c Source #

(*>) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m b Source #

(<*) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m a Source #

(Monoid w, Functor m, Monad m) => Applicative (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.Lazy

Methods

pure :: a -> RWST r w s m a Source #

(<*>) :: RWST r w s m (a -> b) -> RWST r w s m a -> RWST r w s m b Source #

liftA2 :: (a -> b -> c) -> RWST r w s m a -> RWST r w s m b -> RWST r w s m c Source #

(*>) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m b Source #

(<*) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m a Source #

(Monoid w, Functor m, Monad m) => Applicative (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.Strict

Methods

pure :: a -> RWST r w s m a Source #

(<*>) :: RWST r w s m (a -> b) -> RWST r w s m a -> RWST r w s m b Source #

liftA2 :: (a -> b -> c) -> RWST r w s m a -> RWST r w s m b -> RWST r w s m c Source #

(*>) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m b Source #

(<*) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m a Source #

(<$>) :: Functor f => (a -> b) -> f a -> f b infixl 4 Source #

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

Expand

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)

(<|>) :: Alternative f => f a -> f a -> f a infixl 3 Source #

An associative binary operation

Monad

(>=>) :: Monad m => (a -> m b) -> (b -> m c) -> a -> m c infixr 1 Source #

Left-to-right composition of Kleisli arrows.

'(bs >=> cs) a' can be understood as the do expression

do b <- bs a
   cs b

Transformers

lift :: (MonadTrans t, Monad m) => m a -> t m a Source #

Lift a computation from the argument monad to the constructed monad.

class Monad m => MonadIO (m :: Type -> Type) Source #

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:

Minimal complete definition

liftIO

Instances

Instances details
MonadIO IO

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.IO.Class

Methods

liftIO :: IO a -> IO a Source #

MonadIO Q 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

liftIO :: IO a -> Q a Source #

MonadIO m => MonadIO (MaybeT m) 
Instance details

Defined in Control.Monad.Trans.Maybe

Methods

liftIO :: IO a -> MaybeT m a Source #

(Monoid w, Functor m, MonadIO m) => MonadIO (AccumT w m) 
Instance details

Defined in Control.Monad.Trans.Accum

Methods

liftIO :: IO a -> AccumT w m a Source #

MonadIO m => MonadIO (ExceptT e m) 
Instance details

Defined in Control.Monad.Trans.Except

Methods

liftIO :: IO a -> ExceptT e m a Source #

MonadIO m => MonadIO (IdentityT m) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

liftIO :: IO a -> IdentityT m a Source #

MonadIO m => MonadIO (ReaderT r m) 
Instance details

Defined in Control.Monad.Trans.Reader

Methods

liftIO :: IO a -> ReaderT r m a Source #

MonadIO m => MonadIO (SelectT r m) 
Instance details

Defined in Control.Monad.Trans.Select

Methods

liftIO :: IO a -> SelectT r m a Source #

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

Defined in Control.Monad.Trans.State.Lazy

Methods

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

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

Defined in Control.Monad.Trans.State.Strict

Methods

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

MonadIO m => MonadIO (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.CPS

Methods

liftIO :: IO a -> WriterT w m a Source #

(Monoid w, MonadIO m) => MonadIO (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.Lazy

Methods

liftIO :: IO a -> WriterT w m a Source #

(Monoid w, MonadIO m) => MonadIO (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.Strict

Methods

liftIO :: IO a -> WriterT w m a Source #

MonadIO m => MonadIO (ContT r m) 
Instance details

Defined in Control.Monad.Trans.Cont

Methods

liftIO :: IO a -> ContT r m a Source #

MonadIO m => MonadIO (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.CPS

Methods

liftIO :: IO a -> RWST r w s m a Source #

(Monoid w, MonadIO m) => MonadIO (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.Lazy

Methods

liftIO :: IO a -> RWST r w s m a Source #

(Monoid w, MonadIO m) => MonadIO (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.Strict

Methods

liftIO :: IO a -> RWST r w s m a Source #

liftIO :: MonadIO m => IO a -> m a Source #

Lift a computation from the IO monad. This allows us to run IO computations in any monadic stack, so long as it supports these kinds of operations (i.e. IO is the base monad for the stack).

Example

Expand
import Control.Monad.Trans.State -- from the "transformers" library

printState :: Show s => StateT s IO ()
printState = do
  state <- get
  liftIO $ print state

Had we omitted liftIO, we would have ended up with this error:

• Couldn't match type ‘IO’ with ‘StateT s IO’
 Expected type: StateT s IO ()
   Actual type: IO ()

The important part here is the mismatch between StateT s IO () and IO ().

Luckily, we know of a function that takes an IO a and returns an (m a): liftIO, enabling us to run the program and see the expected results:

> evalStateT printState "hello"
"hello"

> evalStateT printState 3
3

Exceptions

class (Typeable e, Show e) => Exception e where Source #

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 Source #

fromException :: SomeException -> Maybe e Source #

displayException :: e -> String Source #

Render this exception value in a human-friendly manner.

Default implementation: show.

Since: base-4.8.0.0

Instances

Instances details
Exception Void

Since: base-4.8.0.0

Instance details

Defined in GHC.Exception.Type

Exception ArithException

Since: base-4.0.0.0

Instance details

Defined in GHC.Exception.Type

Exception SomeException

Since: base-3.0

Instance details

Defined in GHC.Exception.Type

Exception AllocationLimitExceeded

Since: base-4.8.0.0

Instance details

Defined in GHC.IO.Exception

Exception ArrayException

Since: base-4.1.0.0

Instance details

Defined in GHC.IO.Exception

Exception AssertionFailed

Since: base-4.1.0.0

Instance details

Defined in GHC.IO.Exception

Exception AsyncException

Since: base-4.7.0.0

Instance details

Defined in GHC.IO.Exception

Exception BlockedIndefinitelyOnMVar

Since: base-4.1.0.0

Instance details

Defined in GHC.IO.Exception

Exception BlockedIndefinitelyOnSTM

Since: base-4.1.0.0

Instance details

Defined in GHC.IO.Exception

Exception CompactionFailed

Since: base-4.10.0.0

Instance details

Defined in GHC.IO.Exception

Exception Deadlock

Since: base-4.1.0.0

Instance details

Defined in GHC.IO.Exception

Exception ExitCode

Since: base-4.1.0.0

Instance details

Defined in GHC.IO.Exception

Exception FixIOException

Since: base-4.11.0.0

Instance details

Defined in GHC.IO.Exception

Exception IOException

Since: base-4.1.0.0

Instance details

Defined in GHC.IO.Exception

Exception SomeAsyncException

Since: base-4.7.0.0

Instance details

Defined in GHC.IO.Exception

Exception UnicodeException 
Instance details

Defined in Data.Text.Encoding.Error

class Typeable (a :: k) Source #

The class Typeable allows a concrete representation of a type to be calculated.

Minimal complete definition

typeRep#

data SomeException Source #

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.

data IOException Source #

Exceptions that occur in the IO monad. An IOException records a more specific error type, a descriptive string and maybe the handle that was used when the error was flagged.

Instances

Instances details
Exception IOException

Since: base-4.1.0.0

Instance details

Defined in GHC.IO.Exception

Show IOException

Since: base-4.1.0.0

Instance details

Defined in GHC.IO.Exception

Eq IOException

Since: base-4.1.0.0

Instance details

Defined in GHC.IO.Exception

Files

type FilePath = String Source #

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.

(</>) :: FilePath -> FilePath -> FilePath infixr 5 Source #

Combine two paths with a path separator. If the second path starts with a path separator or a drive letter, then it returns the second. The intention is that readFile (dir </> file) will access the same file as setCurrentDirectory dir; readFile file.

Posix:   "/directory" </> "file.ext" == "/directory/file.ext"
Windows: "/directory" </> "file.ext" == "/directory\\file.ext"
         "directory" </> "/file.ext" == "/file.ext"
Valid x => (takeDirectory x </> takeFileName x) `equalFilePath` x

Combined:

Posix:   "/" </> "test" == "/test"
Posix:   "home" </> "bob" == "home/bob"
Posix:   "x:" </> "foo" == "x:/foo"
Windows: "C:\\foo" </> "bar" == "C:\\foo\\bar"
Windows: "home" </> "bob" == "home\\bob"

Not combined:

Posix:   "home" </> "/bob" == "/bob"
Windows: "home" </> "C:\\bob" == "C:\\bob"

Not combined (tricky):

On Windows, if a filepath starts with a single slash, it is relative to the root of the current drive. In [1], this is (confusingly) referred to as an absolute path. The current behavior of </> is to never combine these forms.

Windows: "home" </> "/bob" == "/bob"
Windows: "home" </> "\\bob" == "\\bob"
Windows: "C:\\home" </> "\\bob" == "\\bob"

On Windows, from [1]: "If a file name begins with only a disk designator but not the backslash after the colon, it is interpreted as a relative path to the current directory on the drive with the specified letter." The current behavior of </> is to never combine these forms.

Windows: "D:\\foo" </> "C:bar" == "C:bar"
Windows: "C:\\foo" </> "C:bar" == "C:bar"

(<.>) :: FilePath -> String -> FilePath infixr 7 Source #

Add an extension, even if there is already one there, equivalent to addExtension.

"/directory/path" <.> "ext" == "/directory/path.ext"
"/directory/path" <.> ".ext" == "/directory/path.ext"

Strings

type String = [Char] Source #

String is an alias for a list of characters.

String constants in Haskell are values of type String. That means if you write a string literal like "hello world", it will have the type [Char], which is the same as String.

Note: You can ask the compiler to automatically infer different types with the -XOverloadedStrings language extension, for example "hello world" :: Text. See IsString for more information.

Because String is just a list of characters, you can use normal list functions to do basic string manipulation. See Data.List for operations on lists.

Performance considerations

Expand

[Char] is a relatively memory-inefficient type. It is a linked list of boxed word-size characters, internally it looks something like:

╭─────┬───┬──╮  ╭─────┬───┬──╮  ╭─────┬───┬──╮  ╭────╮
│ (:) │   │ ─┼─>│ (:) │   │ ─┼─>│ (:) │   │ ─┼─>│ [] │
╰─────┴─┼─┴──╯  ╰─────┴─┼─┴──╯  ╰─────┴─┼─┴──╯  ╰────╯
        v               v               v
       'a'             'b'             'c'

The String "abc" will use 5*3+1 = 16 (in general 5n+1) words of space in memory.

Furthermore, operations like (++) (string concatenation) are O(n) (in the left argument).

For historical reasons, the base library uses String in a lot of places for the conceptual simplicity, but library code dealing with user-data should use the text package for Unicode text, or the the bytestring package for binary data.

Hashing

hash :: Hashable a => a -> Int Source #

Like hashWithSalt, but no salt is used. The default implementation uses hashWithSalt with some default salt. Instances might want to implement this method to provide a more efficient implementation than the default implementation.

hashWithSalt :: Hashable a => Int -> a -> Int infixl 0 Source #

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.
  • hashWithSalt may return negative Int values.