numeric-prelude-0.4.3.1: An experimental alternative hierarchy of numeric type classes

Safe HaskellSafe
LanguageHaskell98

NumericPrelude.Base

Description

The only point of this module is to reexport items that we want from the standard Prelude.

Synopsis

Documentation

(!!) :: [a] -> Int -> a infixl 9 #

List index (subscript) operator, starting from 0. It is an instance of the more general genericIndex, which takes an index of any integral type.

($) :: (a -> b) -> a -> b infixr 0 #

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

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

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

($!) :: (a -> b) -> a -> b infixr 0 #

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 #

Boolean "and"

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

Append two lists, i.e.,

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

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

(.) :: (b -> c) -> (a -> b) -> a -> c infixr 9 #

Function composition.

(=<<) :: Monad m => (a -> m b) -> m a -> m b infixr 1 #

Same as >>=, but with the arguments interchanged.

data Bool #

Constructors

False 
True 
Instances
Bounded Bool

Since: base-2.1

Instance details

Defined in GHC.Enum

Enum Bool

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

succ :: Bool -> Bool #

pred :: Bool -> Bool #

toEnum :: Int -> Bool #

fromEnum :: Bool -> Int #

enumFrom :: Bool -> [Bool] #

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

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

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

Eq Bool 
Instance details

Defined in GHC.Classes

Methods

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

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

Ord Bool 
Instance details

Defined in GHC.Classes

Methods

compare :: Bool -> Bool -> Ordering #

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

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

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

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

max :: Bool -> Bool -> Bool #

min :: Bool -> Bool -> Bool #

Read Bool

Since: base-2.1

Instance details

Defined in GHC.Read

Show Bool 
Instance details

Defined in GHC.Show

Methods

showsPrec :: Int -> Bool -> ShowS #

show :: Bool -> String #

showList :: [Bool] -> ShowS #

Ix Bool

Since: base-2.1

Instance details

Defined in GHC.Arr

Methods

range :: (Bool, Bool) -> [Bool] #

index :: (Bool, Bool) -> Bool -> Int #

unsafeIndex :: (Bool, Bool) -> Bool -> Int

inRange :: (Bool, Bool) -> Bool -> Bool #

rangeSize :: (Bool, Bool) -> Int #

unsafeRangeSize :: (Bool, Bool) -> Int

Generic Bool 
Instance details

Defined in GHC.Generics

Associated Types

type Rep Bool :: * -> * #

Methods

from :: Bool -> Rep Bool x #

to :: Rep Bool x -> Bool #

Lift Bool 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Bool -> Q Exp #

Testable Bool 
Instance details

Defined in Test.QuickCheck.Property

Methods

property :: Bool -> Property #

Arbitrary Bool 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen Bool #

shrink :: Bool -> [Bool] #

CoArbitrary Bool 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Bool -> Gen b -> Gen b #

SingKind Bool

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Associated Types

type DemoteRep Bool :: *

Methods

fromSing :: Sing a -> DemoteRep Bool

Storable Bool

Since: base-2.1

Instance details

Defined in Foreign.Storable

Methods

sizeOf :: Bool -> Int #

alignment :: Bool -> Int #

peekElemOff :: Ptr Bool -> Int -> IO Bool #

pokeElemOff :: Ptr Bool -> Int -> Bool -> IO () #

peekByteOff :: Ptr b -> Int -> IO Bool #

pokeByteOff :: Ptr b -> Int -> Bool -> IO () #

peek :: Ptr Bool -> IO Bool #

poke :: Ptr Bool -> Bool -> IO () #

NFData Bool 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Bool -> () #

Random Bool 
Instance details

Defined in System.Random

Methods

randomR :: RandomGen g => (Bool, Bool) -> g -> (Bool, g) #

random :: RandomGen g => g -> (Bool, g) #

randomRs :: RandomGen g => (Bool, Bool) -> g -> [Bool] #

randoms :: RandomGen g => g -> [Bool] #

randomRIO :: (Bool, Bool) -> IO Bool #

randomIO :: IO Bool #

C Bool Source # 
Instance details

Defined in Algebra.Lattice

Methods

up :: Bool -> Bool -> Bool Source #

dn :: Bool -> Bool -> Bool Source #

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

type Rep Bool 
Instance details

Defined in GHC.Generics

type Rep Bool = D1 (MetaData "Bool" "GHC.Types" "ghc-prim" False) (C1 (MetaCons "False" PrefixI False) (U1 :: * -> *) :+: C1 (MetaCons "True" PrefixI False) (U1 :: * -> *))
data Sing (a :: Bool) 
Instance details

Defined in GHC.Generics

data Sing (a :: Bool) where
type DemoteRep Bool 
Instance details

Defined in GHC.Generics

type DemoteRep Bool = Bool

class Bounded a where #

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

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

Minimal complete definition

minBound, maxBound

Methods

minBound :: a #

maxBound :: a #

Instances
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

Methods

minBound :: Int #

maxBound :: Int #

Bounded Int8

Since: base-2.1

Instance details

Defined in GHC.Int

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 Ordering

Since: base-2.1

Instance details

Defined in GHC.Enum

Bounded Word

Since: base-2.1

Instance details

Defined in GHC.Enum

Bounded Word8

Since: base-2.1

Instance details

Defined in GHC.Word

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 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 ()

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

minBound :: () #

maxBound :: () #

Bounded All 
Instance details

Defined in Data.Semigroup.Internal

Methods

minBound :: All #

maxBound :: All #

Bounded Any 
Instance details

Defined in Data.Semigroup.Internal

Methods

minBound :: Any #

maxBound :: Any #

Bounded Associativity 
Instance details

Defined in GHC.Generics

Bounded SourceUnpackedness 
Instance details

Defined in GHC.Generics

Bounded SourceStrictness 
Instance details

Defined in GHC.Generics

Bounded DecidedStrictness 
Instance details

Defined in GHC.Generics

Bounded CChar 
Instance details

Defined in Foreign.C.Types

Bounded CSChar 
Instance details

Defined in Foreign.C.Types

Bounded CUChar 
Instance details

Defined in Foreign.C.Types

Bounded CShort 
Instance details

Defined in Foreign.C.Types

Bounded CUShort 
Instance details

Defined in Foreign.C.Types

Bounded CInt 
Instance details

Defined in Foreign.C.Types

Bounded CUInt 
Instance details

Defined in Foreign.C.Types

Bounded CLong 
Instance details

Defined in Foreign.C.Types

Bounded CULong 
Instance details

Defined in Foreign.C.Types

Bounded CLLong 
Instance details

Defined in Foreign.C.Types

Bounded CULLong 
Instance details

Defined in Foreign.C.Types

Bounded CBool 
Instance details

Defined in Foreign.C.Types

Bounded CPtrdiff 
Instance details

Defined in Foreign.C.Types

Bounded CSize 
Instance details

Defined in Foreign.C.Types

Bounded CWchar 
Instance details

Defined in Foreign.C.Types

Bounded CSigAtomic 
Instance details

Defined in Foreign.C.Types

Bounded CIntPtr 
Instance details

Defined in Foreign.C.Types

Bounded CUIntPtr 
Instance details

Defined in Foreign.C.Types

Bounded CIntMax 
Instance details

Defined in Foreign.C.Types

Bounded CUIntMax 
Instance details

Defined in Foreign.C.Types

Bounded GeneralCategory 
Instance details

Defined in GHC.Unicode

Bounded T # 
Instance details

Defined in Number.Peano

Methods

minBound :: T #

maxBound :: T #

Bounded a => Bounded (Min a) 
Instance details

Defined in Data.Semigroup

Methods

minBound :: Min a #

maxBound :: Min a #

Bounded a => Bounded (Max a) 
Instance details

Defined in Data.Semigroup

Methods

minBound :: Max a #

maxBound :: Max a #

Bounded a => Bounded (First a) 
Instance details

Defined in Data.Semigroup

Methods

minBound :: First a #

maxBound :: First a #

Bounded a => Bounded (Last a) 
Instance details

Defined in Data.Semigroup

Methods

minBound :: Last a #

maxBound :: Last a #

Bounded m => Bounded (WrappedMonoid m) 
Instance details

Defined in Data.Semigroup

Bounded a => Bounded (Identity a) 
Instance details

Defined in Data.Functor.Identity

Bounded a => Bounded (Dual a) 
Instance details

Defined in Data.Semigroup.Internal

Methods

minBound :: Dual a #

maxBound :: Dual a #

Bounded a => Bounded (Sum a) 
Instance details

Defined in Data.Semigroup.Internal

Methods

minBound :: Sum a #

maxBound :: Sum a #

Bounded a => Bounded (Product a) 
Instance details

Defined in Data.Semigroup.Internal

(Ord a, Num a, Bounded a) => Bounded (T a) 
Instance details

Defined in Numeric.NonNegative.Wrapper

Methods

minBound :: T a #

maxBound :: T a #

(Ord a, Num a) => Bounded (Bounds a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

minBound :: Bounds a #

maxBound :: Bounds a #

Bounded a => Bounded (T a) # 
Instance details

Defined in MathObj.Wrapper.Haskell98

Methods

minBound :: T a #

maxBound :: T a #

Bounded a => Bounded (T a) # 
Instance details

Defined in MathObj.Wrapper.NumericPrelude

Methods

minBound :: T a #

maxBound :: T a #

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

minBound :: (a, b) #

maxBound :: (a, b) #

Bounded (Proxy t) 
Instance details

Defined in Data.Proxy

Methods

minBound :: Proxy t #

maxBound :: Proxy t #

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

minBound :: (a, b, c) #

maxBound :: (a, b, c) #

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

Defined in Data.Functor.Const

Methods

minBound :: Const a b #

maxBound :: Const a b #

a ~ b => Bounded (a :~: b)

Since: base-4.7.0.0

Instance details

Defined in Data.Type.Equality

Methods

minBound :: a :~: b #

maxBound :: a :~: b #

(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) #

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

a ~~ b => Bounded (a :~~: b)

Since: base-4.10.0.0

Instance details

Defined in Data.Type.Equality

Methods

minBound :: a :~~: b #

maxBound :: a :~~: b #

(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) #

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

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

data Char #

The character type Char is an enumeration whose values represent Unicode (or equivalently ISO/IEC 10646) code points (i.e. characters, see http://www.unicode.org/ for details). This set extends the ISO 8859-1 (Latin-1) character set (the first 256 characters), which is itself an extension of the ASCII character set (the first 128 characters). A character literal in Haskell has type Char.

To convert a Char to or from the corresponding Int value defined by Unicode, use toEnum and fromEnum from the Enum class respectively (or equivalently ord and chr).

Instances
Bounded Char

Since: base-2.1

Instance details

Defined in GHC.Enum

Enum Char

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

succ :: Char -> Char #

pred :: Char -> Char #

toEnum :: Int -> Char #

fromEnum :: Char -> Int #

enumFrom :: Char -> [Char] #

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

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

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

Eq Char 
Instance details

Defined in GHC.Classes

Methods

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

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

Ord Char 
Instance details

Defined in GHC.Classes

Methods

compare :: Char -> Char -> Ordering #

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

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

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

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

max :: Char -> Char -> Char #

min :: Char -> Char -> Char #

Read Char

Since: base-2.1

Instance details

Defined in GHC.Read

Show Char

Since: base-2.1

Instance details

Defined in GHC.Show

Methods

showsPrec :: Int -> Char -> ShowS #

show :: Char -> String #

showList :: [Char] -> ShowS #

Ix Char

Since: base-2.1

Instance details

Defined in GHC.Arr

Methods

range :: (Char, Char) -> [Char] #

index :: (Char, Char) -> Char -> Int #

unsafeIndex :: (Char, Char) -> Char -> Int

inRange :: (Char, Char) -> Char -> Bool #

rangeSize :: (Char, Char) -> Int #

unsafeRangeSize :: (Char, Char) -> Int

Lift Char 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Char -> Q Exp #

Arbitrary Char 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen Char #

shrink :: Char -> [Char] #

CoArbitrary Char 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Char -> Gen b -> Gen b #

Storable Char

Since: base-2.1

Instance details

Defined in Foreign.Storable

Methods

sizeOf :: Char -> Int #

alignment :: Char -> Int #

peekElemOff :: Ptr Char -> Int -> IO Char #

pokeElemOff :: Ptr Char -> Int -> Char -> IO () #

peekByteOff :: Ptr b -> Int -> IO Char #

pokeByteOff :: Ptr b -> Int -> Char -> IO () #

peek :: Ptr Char -> IO Char #

poke :: Ptr Char -> Char -> IO () #

NFData Char 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Char -> () #

Random Char 
Instance details

Defined in System.Random

Methods

randomR :: RandomGen g => (Char, Char) -> g -> (Char, g) #

random :: RandomGen g => g -> (Char, g) #

randomRs :: RandomGen g => (Char, Char) -> g -> [Char] #

randoms :: RandomGen g => g -> [Char] #

randomRIO :: (Char, Char) -> IO Char #

randomIO :: IO Char #

ErrorList Char 
Instance details

Defined in Control.Monad.Trans.Error

Methods

listMsg :: String -> [Char] #

Monad m => Stream ByteString m Char 
Instance details

Defined in Text.Parsec.Prim

Methods

uncons :: ByteString -> m (Maybe (Char, ByteString)) #

Monad m => Stream ByteString m Char 
Instance details

Defined in Text.Parsec.Prim

Methods

uncons :: ByteString -> m (Maybe (Char, ByteString)) #

Monad m => Stream Text m Char 
Instance details

Defined in Text.Parsec.Prim

Methods

uncons :: Text -> m (Maybe (Char, Text)) #

Monad m => Stream Text m Char 
Instance details

Defined in Text.Parsec.Prim

Methods

uncons :: Text -> m (Maybe (Char, Text)) #

Generic1 (URec Char :: k -> *) 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (URec Char) :: k -> * #

Methods

from1 :: URec Char a -> Rep1 (URec Char) a #

to1 :: Rep1 (URec Char) a -> URec Char a #

Functor (URec Char :: * -> *) 
Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Char a -> URec Char b #

(<$) :: a -> URec Char b -> URec Char a #

Foldable (URec Char :: * -> *) 
Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => URec Char m -> m #

foldMap :: Monoid m => (a -> m) -> URec Char a -> m #

foldr :: (a -> b -> b) -> b -> URec Char a -> b #

foldr' :: (a -> b -> b) -> b -> URec Char a -> b #

foldl :: (b -> a -> b) -> b -> URec Char a -> b #

foldl' :: (b -> a -> b) -> b -> URec Char a -> b #

foldr1 :: (a -> a -> a) -> URec Char a -> a #

foldl1 :: (a -> a -> a) -> URec Char a -> a #

toList :: URec Char a -> [a] #

null :: URec Char a -> Bool #

length :: URec Char a -> Int #

elem :: Eq a => a -> URec Char a -> Bool #

maximum :: Ord a => URec Char a -> a #

minimum :: Ord a => URec Char a -> a #

sum :: Num a => URec Char a -> a #

product :: Num a => URec Char a -> a #

Traversable (URec Char :: * -> *) 
Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => URec Char (f a) -> f (URec Char a) #

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

sequence :: Monad m => URec Char (m a) -> m (URec Char a) #

Eq (URec Char p) 
Instance details

Defined in GHC.Generics

Methods

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

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

Ord (URec Char p) 
Instance details

Defined in GHC.Generics

Methods

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

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

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

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

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

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

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

Show (URec Char p) 
Instance details

Defined in GHC.Generics

Methods

showsPrec :: Int -> URec Char p -> ShowS #

show :: URec Char p -> String #

showList :: [URec Char p] -> ShowS #

Generic (URec Char p) 
Instance details

Defined in GHC.Generics

Associated Types

type Rep (URec Char p) :: * -> * #

Methods

from :: URec Char p -> Rep (URec Char p) x #

to :: Rep (URec Char p) x -> URec Char p #

data URec Char (p :: k)

Used for marking occurrences of Char#

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

data URec Char (p :: k) = UChar {}
type Rep1 (URec Char :: k -> *) 
Instance details

Defined in GHC.Generics

type Rep1 (URec Char :: k -> *) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UChar" PrefixI True) (S1 (MetaSel (Just "uChar#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UChar :: k -> *)))
type Rep (URec Char p) 
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 :: * -> *)))

data Either a b #

The Either type represents values with two possibilities: a value of type Either a b is either Left a or Right b.

The Either type is sometimes used to represent a value which is either correct or an error; by convention, the Left constructor is used to hold an error value and the Right constructor is used to hold a correct value (mnemonic: "right" also means "correct").

Examples

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
Arbitrary2 Either 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

liftArbitrary2 :: Gen a -> Gen b -> Gen (Either a b) #

liftShrink2 :: (a -> [a]) -> (b -> [b]) -> Either a b -> [Either a b] #

Eq2 Either

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

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

Ord2 Either

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

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

Read2 Either

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

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

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

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

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

Show2 Either

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

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

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

NFData2 Either

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf2 :: (a -> ()) -> (b -> ()) -> Either a b -> () #

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 #

(>>) :: Either e a -> Either e b -> Either e b #

return :: a -> Either e a #

fail :: String -> Either e a #

Functor (Either a)

Since: base-3.0

Instance details

Defined in Data.Either

Methods

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

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

Applicative (Either e)

Since: base-3.0

Instance details

Defined in Data.Either

Methods

pure :: a -> Either e a #

(<*>) :: Either e (a -> b) -> Either e a -> Either e b #

liftA2 :: (a -> b -> c) -> Either e a -> Either e b -> Either e c #

(*>) :: Either e a -> Either e b -> Either e b #

(<*) :: Either e a -> Either e b -> Either e a #

Foldable (Either a)

Since: base-4.7.0.0

Instance details

Defined in Data.Foldable

Methods

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

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

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

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

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

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

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

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

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

null :: Either a a0 -> Bool #

length :: Either a a0 -> Int #

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

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

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

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

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

Traversable (Either a)

Since: base-4.7.0.0

Instance details

Defined in Data.Traversable

Methods

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

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

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

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

Arbitrary a => Arbitrary1 (Either a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

liftArbitrary :: Gen a0 -> Gen (Either a a0) #

liftShrink :: (a0 -> [a0]) -> Either a a0 -> [Either a a0] #

Eq a => Eq1 (Either a)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

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

Ord a => Ord1 (Either a)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

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

Read a => Read1 (Either a)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

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

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

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

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

Show a => Show1 (Either a)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

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

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

NFData a => NFData1 (Either a)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a0 -> ()) -> Either a a0 -> () #

Generic1 (Either a :: * -> *) 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (Either a) :: k -> * #

Methods

from1 :: Either a a0 -> Rep1 (Either a) a0 #

to1 :: Rep1 (Either a) a0 -> Either a a0 #

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

Defined in Data.Either

Methods

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

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

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

Defined in Data.Either

Methods

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

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

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

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

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

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

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

(Read a, Read b) => Read (Either a b) 
Instance details

Defined in Data.Either

(Show a, Show b) => Show (Either a b) 
Instance details

Defined in Data.Either

Methods

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

show :: Either a b -> String #

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

Generic (Either a b) 
Instance details

Defined in GHC.Generics

Associated Types

type Rep (Either a b) :: * -> * #

Methods

from :: Either a b -> Rep (Either a b) x #

to :: Rep (Either a b) x -> Either a b #

Semigroup (Either a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Either

Methods

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

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

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

(Lift a, Lift b) => Lift (Either a b) 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Either a b -> Q Exp #

(Arbitrary a, Arbitrary b) => Arbitrary (Either a b) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

arbitrary :: Gen (Either a b) #

shrink :: Either a b -> [Either a b] #

(CoArbitrary a, CoArbitrary b) => CoArbitrary (Either a b) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

coarbitrary :: Either a b -> Gen b0 -> Gen b0 #

(NFData a, NFData b) => NFData (Either a b) 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Either a b -> () #

type Rep1 (Either a :: * -> *) 
Instance details

Defined in GHC.Generics

type Rep (Either a b) 
Instance details

Defined in GHC.Generics

class Enum a where #

Class Enum defines operations on sequentially ordered types.

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

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

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

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

Minimal complete definition

toEnum, fromEnum

Methods

succ :: a -> a #

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

pred :: a -> a #

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

toEnum :: Int -> a #

Convert from an Int.

fromEnum :: a -> Int #

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

enumFrom :: a -> [a] #

Used in Haskell's translation of [n..].

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

Used in Haskell's translation of [n,n'..].

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

Used in Haskell's translation of [n..m].

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

Used in Haskell's translation of [n,n'..m].

Instances
Enum Bool

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

succ :: Bool -> Bool #

pred :: Bool -> Bool #

toEnum :: Int -> Bool #

fromEnum :: Bool -> Int #

enumFrom :: Bool -> [Bool] #

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

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

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

Enum Char

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

succ :: Char -> Char #

pred :: Char -> Char #

toEnum :: Int -> Char #

fromEnum :: Char -> Int #

enumFrom :: Char -> [Char] #

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

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

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

Enum Int

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

succ :: Int -> Int #

pred :: Int -> Int #

toEnum :: Int -> Int #

fromEnum :: Int -> Int #

enumFrom :: Int -> [Int] #

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

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

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

Enum Int8

Since: base-2.1

Instance details

Defined in GHC.Int

Methods

succ :: Int8 -> Int8 #

pred :: Int8 -> Int8 #

toEnum :: Int -> Int8 #

fromEnum :: Int8 -> Int #

enumFrom :: Int8 -> [Int8] #

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

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

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

Enum Int16

Since: base-2.1

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 Integer

Since: base-2.1

Instance details

Defined in GHC.Enum

Enum Natural

Since: base-4.8.0.0

Instance details

Defined in GHC.Natural

Enum Ordering

Since: base-2.1

Instance details

Defined in GHC.Enum

Enum Word

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

succ :: Word -> Word #

pred :: Word -> Word #

toEnum :: Int -> Word #

fromEnum :: Word -> Int #

enumFrom :: Word -> [Word] #

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

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

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

Enum Word8

Since: base-2.1

Instance details

Defined in GHC.Word

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 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 ()

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

succ :: () -> () #

pred :: () -> () #

toEnum :: Int -> () #

fromEnum :: () -> Int #

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

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

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

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

Enum Associativity 
Instance details

Defined in GHC.Generics

Enum SourceUnpackedness 
Instance details

Defined in GHC.Generics

Enum SourceStrictness 
Instance details

Defined in GHC.Generics

Enum DecidedStrictness 
Instance details

Defined in GHC.Generics

Enum CChar 
Instance details

Defined in Foreign.C.Types

Enum CSChar 
Instance details

Defined in Foreign.C.Types

Enum CUChar 
Instance details

Defined in Foreign.C.Types

Enum CShort 
Instance details

Defined in Foreign.C.Types

Enum CUShort 
Instance details

Defined in Foreign.C.Types

Enum CInt 
Instance details

Defined in Foreign.C.Types

Methods

succ :: CInt -> CInt #

pred :: CInt -> CInt #

toEnum :: Int -> CInt #

fromEnum :: CInt -> Int #

enumFrom :: CInt -> [CInt] #

enumFromThen :: CInt -> CInt -> [CInt] #

enumFromTo :: CInt -> CInt -> [CInt] #

enumFromThenTo :: CInt -> CInt -> CInt -> [CInt] #

Enum CUInt 
Instance details

Defined in Foreign.C.Types

Enum CLong 
Instance details

Defined in Foreign.C.Types

Enum CULong 
Instance details

Defined in Foreign.C.Types

Enum CLLong 
Instance details

Defined in Foreign.C.Types

Enum CULLong 
Instance details

Defined in Foreign.C.Types

Enum CBool 
Instance details

Defined in Foreign.C.Types

Enum CFloat 
Instance details

Defined in Foreign.C.Types

Enum CDouble 
Instance details

Defined in Foreign.C.Types

Enum CPtrdiff 
Instance details

Defined in Foreign.C.Types

Enum CSize 
Instance details

Defined in Foreign.C.Types

Enum CWchar 
Instance details

Defined in Foreign.C.Types

Enum CSigAtomic 
Instance details

Defined in Foreign.C.Types

Enum CClock 
Instance details

Defined in Foreign.C.Types

Enum CTime 
Instance details

Defined in Foreign.C.Types

Enum CUSeconds 
Instance details

Defined in Foreign.C.Types

Enum CSUSeconds 
Instance details

Defined in Foreign.C.Types

Enum CIntPtr 
Instance details

Defined in Foreign.C.Types

Enum CUIntPtr 
Instance details

Defined in Foreign.C.Types

Enum CIntMax 
Instance details

Defined in Foreign.C.Types

Enum CUIntMax 
Instance details

Defined in Foreign.C.Types

Enum GeneralCategory 
Instance details

Defined in GHC.Unicode

Enum Extension 
Instance details

Defined in GHC.LanguageExtensions.Type

Enum Message 
Instance details

Defined in Text.Parsec.Error

Enum Day 
Instance details

Defined in Data.Time.Calendar.Days

Methods

succ :: Day -> Day #

pred :: Day -> Day #

toEnum :: Int -> Day #

fromEnum :: Day -> Int #

enumFrom :: Day -> [Day] #

enumFromThen :: Day -> Day -> [Day] #

enumFromTo :: Day -> Day -> [Day] #

enumFromThenTo :: Day -> Day -> Day -> [Day] #

Enum T # 
Instance details

Defined in Number.Peano

Methods

succ :: T -> T #

pred :: T -> T #

toEnum :: Int -> T #

fromEnum :: T -> Int #

enumFrom :: T -> [T] #

enumFromThen :: T -> T -> [T] #

enumFromTo :: T -> T -> [T] #

enumFromThenTo :: T -> T -> T -> [T] #

Enum Dimension # 
Instance details

Defined in Number.SI.Unit

Integral a => Enum (Ratio a)

Since: base-2.0.1

Instance details

Defined in GHC.Real

Methods

succ :: Ratio a -> Ratio a #

pred :: Ratio a -> Ratio a #

toEnum :: Int -> Ratio a #

fromEnum :: Ratio a -> Int #

enumFrom :: Ratio a -> [Ratio a] #

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

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

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

Enum (Fixed a)

Since: base-2.1

Instance details

Defined in Data.Fixed

Methods

succ :: Fixed a -> Fixed a #

pred :: Fixed a -> Fixed a #

toEnum :: Int -> Fixed a #

fromEnum :: Fixed a -> Int #

enumFrom :: Fixed a -> [Fixed a] #

enumFromThen :: Fixed a -> Fixed a -> [Fixed a] #

enumFromTo :: Fixed a -> Fixed a -> [Fixed a] #

enumFromThenTo :: Fixed a -> Fixed a -> Fixed a -> [Fixed a] #

Enum a => Enum (Min a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

succ :: Min a -> Min a #

pred :: Min a -> Min a #

toEnum :: Int -> Min a #

fromEnum :: Min a -> Int #

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

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

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

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

Enum a => Enum (Max a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

succ :: Max a -> Max a #

pred :: Max a -> Max a #

toEnum :: Int -> Max a #

fromEnum :: Max a -> Int #

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

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

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

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

Enum a => Enum (First a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

succ :: First a -> First a #

pred :: First a -> First a #

toEnum :: Int -> First a #

fromEnum :: First a -> Int #

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

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

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

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

Enum a => Enum (Last a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

succ :: Last a -> Last a #

pred :: Last a -> Last a #

toEnum :: Int -> Last a #

fromEnum :: Last a -> Int #

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

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

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

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

Enum a => Enum (WrappedMonoid a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Enum a => Enum (Identity a) 
Instance details

Defined in Data.Functor.Identity

(Ord a, Num a, Enum a) => Enum (T a) 
Instance details

Defined in Numeric.NonNegative.Wrapper

Methods

succ :: T a -> T a #

pred :: T a -> T a #

toEnum :: Int -> T a #

fromEnum :: T a -> Int #

enumFrom :: T a -> [T a] #

enumFromThen :: T a -> T a -> [T a] #

enumFromTo :: T a -> T a -> [T a] #

enumFromThenTo :: T a -> T a -> T a -> [T a] #

(Enum a, C a) => Enum (T a) 
Instance details

Defined in Numeric.NonNegative.ChunkyPrivate

Methods

succ :: T a -> T a #

pred :: T a -> T a #

toEnum :: Int -> T a #

fromEnum :: T a -> Int #

enumFrom :: T a -> [T a] #

enumFromThen :: T a -> T a -> [T a] #

enumFromTo :: T a -> T a -> [T a] #

enumFromThenTo :: T a -> T a -> T a -> [T a] #

Enum a => Enum (Bounds a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

succ :: Bounds a -> Bounds a #

pred :: Bounds a -> Bounds a #

toEnum :: Int -> Bounds a #

fromEnum :: Bounds a -> Int #

enumFrom :: Bounds a -> [Bounds a] #

enumFromThen :: Bounds a -> Bounds a -> [Bounds a] #

enumFromTo :: Bounds a -> Bounds a -> [Bounds a] #

enumFromThenTo :: Bounds a -> Bounds a -> Bounds a -> [Bounds a] #

Enum a => Enum (T a) # 
Instance details

Defined in MathObj.Wrapper.Haskell98

Methods

succ :: T a -> T a #

pred :: T a -> T a #

toEnum :: Int -> T a #

fromEnum :: T a -> Int #

enumFrom :: T a -> [T a] #

enumFromThen :: T a -> T a -> [T a] #

enumFromTo :: T a -> T a -> [T a] #

enumFromThenTo :: T a -> T a -> T a -> [T a] #

Enum a => Enum (T a) # 
Instance details

Defined in MathObj.Wrapper.NumericPrelude

Methods

succ :: T a -> T a #

pred :: T a -> T a #

toEnum :: Int -> T a #

fromEnum :: T a -> Int #

enumFrom :: T a -> [T a] #

enumFromThen :: T a -> T a -> [T a] #

enumFromTo :: T a -> T a -> [T a] #

enumFromThenTo :: T a -> T a -> T a -> [T a] #

Enum (Proxy s)

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

succ :: Proxy s -> Proxy s #

pred :: Proxy s -> Proxy s #

toEnum :: Int -> Proxy s #

fromEnum :: Proxy s -> Int #

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

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

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

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

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

Defined in Data.Functor.Const

Methods

succ :: Const a b -> Const a b #

pred :: Const a b -> Const a b #

toEnum :: Int -> Const a b #

fromEnum :: Const a b -> Int #

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

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

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

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

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

Defined in Data.Semigroup.Internal

Methods

succ :: Alt f a -> Alt f a #

pred :: Alt f a -> Alt f a #

toEnum :: Int -> Alt f a #

fromEnum :: Alt f a -> Int #

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

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

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

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

a ~ b => Enum (a :~: b)

Since: base-4.7.0.0

Instance details

Defined in Data.Type.Equality

Methods

succ :: (a :~: b) -> a :~: b #

pred :: (a :~: b) -> a :~: b #

toEnum :: Int -> a :~: b #

fromEnum :: (a :~: b) -> Int #

enumFrom :: (a :~: b) -> [a :~: b] #

enumFromThen :: (a :~: b) -> (a :~: b) -> [a :~: b] #

enumFromTo :: (a :~: b) -> (a :~: b) -> [a :~: b] #

enumFromThenTo :: (a :~: b) -> (a :~: b) -> (a :~: b) -> [a :~: b] #

a ~~ b => Enum (a :~~: b)

Since: base-4.10.0.0

Instance details

Defined in Data.Type.Equality

Methods

succ :: (a :~~: b) -> a :~~: b #

pred :: (a :~~: b) -> a :~~: b #

toEnum :: Int -> a :~~: b #

fromEnum :: (a :~~: b) -> Int #

enumFrom :: (a :~~: b) -> [a :~~: b] #

enumFromThen :: (a :~~: b) -> (a :~~: b) -> [a :~~: b] #

enumFromTo :: (a :~~: b) -> (a :~~: b) -> [a :~~: b] #

enumFromThenTo :: (a :~~: b) -> (a :~~: b) -> (a :~~: b) -> [a :~~: b] #

class Eq a where #

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

Minimal complete definition: either == or /=.

Minimal complete definition

(==) | (/=)

Methods

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

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

Instances
Eq Bool 
Instance details

Defined in GHC.Classes

Methods

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

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

Eq Char 
Instance details

Defined in GHC.Classes

Methods

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

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

Eq Double 
Instance details

Defined in GHC.Classes

Methods

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

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

Eq Float 
Instance details

Defined in GHC.Classes

Methods

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

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

Eq Int 
Instance details

Defined in GHC.Classes

Methods

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

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

Eq Int8

Since: base-2.1

Instance details

Defined in GHC.Int

Methods

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

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

Eq Int16

Since: base-2.1

Instance details

Defined in GHC.Int

Methods

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

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

Eq Int32

Since: base-2.1

Instance details

Defined in GHC.Int

Methods

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

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

Eq Int64

Since: base-2.1

Instance details

Defined in GHC.Int

Methods

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

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

Eq Integer 
Instance details

Defined in GHC.Integer.Type

Methods

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

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

Eq Natural 
Instance details

Defined in GHC.Natural

Methods

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

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

Eq Ordering 
Instance details

Defined in GHC.Classes

Eq Word 
Instance details

Defined in GHC.Classes

Methods

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

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

Eq Word8

Since: base-2.1

Instance details

Defined in GHC.Word

Methods

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

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

Eq Word16

Since: base-2.1

Instance details

Defined in GHC.Word

Methods

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

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

Eq Word32

Since: base-2.1

Instance details

Defined in GHC.Word

Methods

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

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

Eq Word64

Since: base-2.1

Instance details

Defined in GHC.Word

Methods

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

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

Eq SomeTypeRep 
Instance details

Defined in Data.Typeable.Internal

Eq Exp 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Match 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Clause 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Pat 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Type 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Dec 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Name 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq FunDep 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq InjectivityAnn 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Overlap 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq DerivStrategy 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq () 
Instance details

Defined in GHC.Classes

Methods

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

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

Eq TyCon 
Instance details

Defined in GHC.Classes

Methods

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

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

Eq Module 
Instance details

Defined in GHC.Classes

Methods

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

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

Eq TrName 
Instance details

Defined in GHC.Classes

Methods

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

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

Eq Version

Since: base-2.1

Instance details

Defined in Data.Version

Methods

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

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

Eq BigNat 
Instance details

Defined in GHC.Integer.Type

Methods

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

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

Eq Void

Since: base-4.8.0.0

Instance details

Defined in Data.Void

Methods

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

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

Eq SpecConstrAnnotation 
Instance details

Defined in GHC.Exts

Eq Unique 
Instance details

Defined in Data.Unique

Methods

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

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

Eq ThreadId

Since: base-4.2.0.0

Instance details

Defined in GHC.Conc.Sync

Eq BlockReason 
Instance details

Defined in GHC.Conc.Sync

Eq ThreadStatus 
Instance details

Defined in GHC.Conc.Sync

Eq AsyncException 
Instance details

Defined in GHC.IO.Exception

Eq ArrayException 
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 MaskingState 
Instance details

Defined in GHC.IO

Eq IOException

Since: base-4.1.0.0

Instance details

Defined in GHC.IO.Exception

Eq All 
Instance details

Defined in Data.Semigroup.Internal

Methods

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

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

Eq Any 
Instance details

Defined in Data.Semigroup.Internal

Methods

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

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

Eq Fixity 
Instance details

Defined in GHC.Generics

Methods

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

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

Eq Associativity 
Instance details

Defined in GHC.Generics

Eq SourceUnpackedness 
Instance details

Defined in GHC.Generics

Eq SourceStrictness 
Instance details

Defined in GHC.Generics

Eq DecidedStrictness 
Instance details

Defined in GHC.Generics

Eq CChar 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CSChar 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CUChar 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CShort 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CUShort 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CInt 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CUInt 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CLong 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CULong 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CLLong 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CULLong 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CBool 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CFloat 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CDouble 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CPtrdiff 
Instance details

Defined in Foreign.C.Types

Eq CSize 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CWchar 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CSigAtomic 
Instance details

Defined in Foreign.C.Types

Eq CClock 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CTime 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CUSeconds 
Instance details

Defined in Foreign.C.Types

Eq CSUSeconds 
Instance details

Defined in Foreign.C.Types

Eq CIntPtr 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CUIntPtr 
Instance details

Defined in Foreign.C.Types

Eq CIntMax 
Instance details

Defined in Foreign.C.Types

Methods

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

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

Eq CUIntMax 
Instance details

Defined in Foreign.C.Types

Eq Fingerprint 
Instance details

Defined in GHC.Fingerprint.Type

Eq Lexeme 
Instance details

Defined in Text.Read.Lex

Methods

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

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

Eq Number 
Instance details

Defined in Text.Read.Lex

Methods

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

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

Eq GeneralCategory 
Instance details

Defined in GHC.Unicode

Eq SrcLoc 
Instance details

Defined in GHC.Stack.Types

Methods

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

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

Eq IntSet 
Instance details

Defined in Data.IntSet.Internal

Methods

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

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

Eq Extension 
Instance details

Defined in GHC.LanguageExtensions.Type

Eq ForeignSrcLang 
Instance details

Defined in GHC.ForeignSrcLang.Type

Eq Message 
Instance details

Defined in Text.Parsec.Error

Methods

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

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

Eq ParseError 
Instance details

Defined in Text.Parsec.Error

Eq SourcePos 
Instance details

Defined in Text.Parsec.Pos

Eq Doc 
Instance details

Defined in Text.PrettyPrint.HughesPJ

Methods

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

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

Eq TextDetails 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Eq Style 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

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

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

Eq Mode 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

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

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

Eq ByteArray

Since: primitive-0.6.3.0

Instance details

Defined in Data.Primitive.ByteArray

Eq ModName 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq PkgName 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Module 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq OccName 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq NameFlavour 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq NameSpace 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Loc 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Info 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq ModuleInfo 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Fixity 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq FixityDirection 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Lit 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Body 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Guard 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Stmt 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Range 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq DerivClause 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq TypeFamilyHead 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq TySynEqn 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Foreign 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Callconv 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Safety 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Pragma 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Inline 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq RuleMatch 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Phases 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq RuleBndr 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq AnnTarget 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq SourceUnpackedness 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq SourceStrictness 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq DecidedStrictness 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq Con 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Bang 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq PatSynDir 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq PatSynArgs 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq TyVarBndr 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq FamilyResultSig 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq TyLit 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq Role 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Eq AnnLookup 
Instance details

Defined in Language.Haskell.TH.Syntax

Eq LocalTime 
Instance details

Defined in Data.Time.LocalTime.Internal.LocalTime

Eq TimeOfDay 
Instance details

Defined in Data.Time.LocalTime.Internal.TimeOfDay

Eq TimeZone 
Instance details

Defined in Data.Time.LocalTime.Internal.TimeZone

Eq UniversalTime 
Instance details

Defined in Data.Time.Clock.Internal.UniversalTime

Eq UTCTime 
Instance details

Defined in Data.Time.Clock.Internal.UTCTime

Methods

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

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

Eq Day 
Instance details

Defined in Data.Time.Calendar.Days

Methods

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

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

Eq T # 
Instance details

Defined in Number.Peano

Methods

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

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

Eq T # 
Instance details

Defined in Number.GaloisField2p32m5

Methods

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

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

Eq T # 
Instance details

Defined in Number.FixedPoint.Check

Methods

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

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

Eq T # 
Instance details

Defined in Number.Positional.Check

Methods

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

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

Eq Dimension # 
Instance details

Defined in Number.SI.Unit

Eq a => Eq [a] 
Instance details

Defined in GHC.Classes

Methods

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

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

Eq a => Eq (Maybe a) 
Instance details

Defined in GHC.Base

Methods

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

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

Eq a => Eq (Ratio a) 
Instance details

Defined in GHC.Real

Methods

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

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

Eq (StablePtr a)

Since: base-2.1

Instance details

Defined in GHC.Stable

Methods

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

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

Eq (Ptr a) 
Instance details

Defined in GHC.Ptr

Methods

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

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

Eq (FunPtr a) 
Instance details

Defined in GHC.Ptr

Methods

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

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

Eq p => Eq (Par1 p) 
Instance details

Defined in GHC.Generics

Methods

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

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

Eq a => Eq (Complex a) 
Instance details

Defined in Data.Complex

Methods

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

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

Eq (Fixed a) 
Instance details

Defined in Data.Fixed

Methods

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

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

Eq a => Eq (Min a) 
Instance details

Defined in Data.Semigroup

Methods

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

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

Eq a => Eq (Max a) 
Instance details

Defined in Data.Semigroup

Methods

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

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

Eq a => Eq (First a) 
Instance details

Defined in Data.Semigroup

Methods

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

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

Eq a => Eq (Last a) 
Instance details

Defined in Data.Semigroup

Methods

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

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

Eq m => Eq (WrappedMonoid m) 
Instance details

Defined in Data.Semigroup

Eq a => Eq (Option a) 
Instance details

Defined in Data.Semigroup

Methods

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

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

Eq (StableName a)

Since: base-2.1

Instance details

Defined in System.Mem.StableName

Methods

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

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

Eq a => Eq (ZipList a) 
Instance details

Defined in Control.Applicative

Methods

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

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

Eq a => Eq (Identity a) 
Instance details

Defined in Data.Functor.Identity

Methods

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

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

Eq (TVar a)

Since: base-4.8.0.0

Instance details

Defined in GHC.Conc.Sync

Methods

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

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

Eq (IORef a)

Pointer equality.

Since: base-4.1.0.0

Instance details

Defined in GHC.IORef

Methods

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

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

Eq a => Eq (First a) 
Instance details

Defined in Data.Monoid

Methods

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

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

Eq a => Eq (Last a) 
Instance details

Defined in Data.Monoid

Methods

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

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

Eq a => Eq (Dual a) 
Instance details

Defined in Data.Semigroup.Internal

Methods

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

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

Eq a => Eq (Sum a) 
Instance details

Defined in Data.Semigroup.Internal

Methods

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

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

Eq a => Eq (Product a) 
Instance details

Defined in Data.Semigroup.Internal

Methods

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

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

Eq a => Eq (Down a) 
Instance details

Defined in Data.Ord

Methods

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

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

Eq (MVar a)

Since: base-4.1.0.0

Instance details

Defined in GHC.MVar

Methods

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

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

Eq a => Eq (NonEmpty a) 
Instance details

Defined in GHC.Base

Methods

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

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

Eq a => Eq (IntMap a) 
Instance details

Defined in Data.IntMap.Internal

Methods

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

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

Eq a => Eq (Tree a) 
Instance details

Defined in Data.Tree

Methods

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

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

Eq a => Eq (Seq a) 
Instance details

Defined in Data.Sequence.Internal

Methods

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

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

Eq a => Eq (ViewL a) 
Instance details

Defined in Data.Sequence.Internal

Methods

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

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

Eq a => Eq (ViewR a) 
Instance details

Defined in Data.Sequence.Internal

Methods

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

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

Eq a => Eq (Set a) 
Instance details

Defined in Data.Set.Internal

Methods

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

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

Eq a => Eq (T a) 
Instance details

Defined in Numeric.NonNegative.Wrapper

Methods

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

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

C a => Eq (T a) 
Instance details

Defined in Numeric.NonNegative.ChunkyPrivate

Methods

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

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

Eq (Doc a) 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

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

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

Eq a => Eq (AnnotDetails a) 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Eq a => Eq (Span a) 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

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

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

Eq a => Eq (ToOrd a) # 
Instance details

Defined in Algebra.Indexable

Methods

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

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

Eq a => Eq (Max a) # 
Instance details

Defined in MathObj.Monoid

Methods

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

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

Eq a => Eq (Min a) # 
Instance details

Defined in MathObj.Monoid

Methods

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

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

Eq a => Eq (LCM a) # 
Instance details

Defined in MathObj.Monoid

Methods

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

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

Eq a => Eq (GCD a) # 
Instance details

Defined in MathObj.Monoid

Methods

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

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

Eq a => Eq (T a) # 
Instance details

Defined in Number.Ratio

Methods

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

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

Eq a => Eq (Bounds a) 
Instance details

Defined in Test.QuickCheck.Arbitrary

Methods

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

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

Eq a => Eq (T a) # 
Instance details

Defined in MathObj.Wrapper.Haskell98

Methods

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

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

(Eq a, C a, C a) => Eq (T a) # 
Instance details

Defined in Number.ResidueClass.Maybe

Methods

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

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

Eq (T a) # 
Instance details

Defined in Number.ResidueClass.Func

Methods

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

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

Eq a => Eq (T a) # 
Instance details

Defined in Number.ResidueClass.Check

Methods

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

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

Eq a => Eq (Valuable a) # 
Instance details

Defined in Number.Peano

Methods

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

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

Eq a => Eq (T a) # 
Instance details

Defined in Number.PartiallyTranscendental

Methods

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

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

C a => Eq (T a) # 
Instance details

Defined in Number.NonNegativeChunky

Methods

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

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

(Eq a, C a) => Eq (T a) # 
Instance details

Defined in MathObj.PowerSeries

Methods

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

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

(Eq a, C a) => Eq (T a) # 
Instance details

Defined in MathObj.PowerSeries2

Methods

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

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

(Eq a, C a) => Eq (T a) # 
Instance details

Defined in MathObj.Polynomial

Methods

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

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

(Eq a, C a) => Eq (T a) # 
Instance details

Defined in Number.Root

Methods

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

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

Ix i => Eq (T i) #

These instances may need more work They involve converting a permutation to a table.

Instance details

Defined in MathObj.Permutation.CycleList.Check

Methods

(==) :: T i -> T i -> Bool #

(/=) :: T i -> T i -> Bool #

Eq i => Eq (Cycle i) # 
Instance details

Defined in MathObj.Permutation.CycleList.Check

Methods

(==) :: Cycle i -> Cycle i -> Bool #

(/=) :: Cycle i -> Cycle i -> Bool #

Eq a => Eq (T a) # 
Instance details

Defined in MathObj.PartialFraction

Methods

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

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

Eq a => Eq (T a) # 
Instance details

Defined in MathObj.Matrix

Methods

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

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

Eq a => Eq (T a) # 
Instance details

Defined in Number.Complex

Methods

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

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

Eq a => Eq (T a) # 
Instance details

Defined in Number.Quaternion

Methods

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

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

(Eq a, C a) => Eq (T a) # 
Instance details

Defined in MathObj.LaurentPolynomial

Methods

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

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

Eq a => Eq (T a) # 
Instance details

Defined in MathObj.Wrapper.NumericPrelude

Methods

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

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

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

Defined in Data.Either

Methods

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

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

Eq (V1 p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

Eq (U1 p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

Eq (TypeRep a)

Since: base-2.1

Instance details

Defined in Data.Typeable.Internal

Methods

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

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

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

Defined in GHC.Classes

Methods

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

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

(Ix i, Eq e) => Eq (Array i e)

Since: base-2.1

Instance details

Defined in GHC.Arr

Methods

(==) :: Array i e -> Array i e -> Bool #

(/=) :: Array i e -> Array i e -> Bool #

Eq a => Eq (Arg a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

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

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

Eq (Proxy s)

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

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

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

Eq (STRef s a)

Pointer equality.

Since: base-2.1

Instance details

Defined in GHC.STRef

Methods

(==) :: STRef s a -> STRef s a -> Bool #

(/=) :: STRef s a -> STRef s a -> Bool #

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

Defined in Data.Map.Internal

Methods

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

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

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

Defined in MathObj.Algebra

Methods

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

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

Eq v => Eq (T a v) # 
Instance details

Defined in Number.OccasionallyScalarExpression

Methods

(==) :: T a v -> T a v -> Bool #

(/=) :: T a v -> T a v -> Bool #

Eq a => Eq (T u a) # 
Instance details

Defined in Number.DimensionTerm

Methods

(==) :: T u a -> T u a -> Bool #

(/=) :: T u a -> T u a -> Bool #

(Eq i, Eq a) => Eq (T i a) # 
Instance details

Defined in Number.Physical

Methods

(==) :: T i a -> T i a -> Bool #

(/=) :: T i a -> T i a -> Bool #

Eq v => Eq (T a v) # 
Instance details

Defined in Number.SI

Methods

(==) :: T a v -> T a v -> Bool #

(/=) :: T a v -> T a v -> Bool #

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

Defined in GHC.Generics

Methods

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

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

Eq (URec (Ptr ()) p) 
Instance details

Defined in GHC.Generics

Methods

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

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

Eq (URec Char p) 
Instance details

Defined in GHC.Generics

Methods

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

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

Eq (URec Double p) 
Instance details

Defined in GHC.Generics

Methods

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

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

Eq (URec Float p) 
Instance details

Defined in GHC.Generics

Methods

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

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

Eq (URec Int p) 
Instance details

Defined in GHC.Generics

Methods

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

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

Eq (URec Word p) 
Instance details

Defined in GHC.Generics

Methods

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

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

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

Defined in GHC.Classes

Methods

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

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

Eq (STArray s i e)

Since: base-2.1

Instance details

Defined in GHC.Arr

Methods

(==) :: STArray s i e -> STArray s i e -> Bool #

(/=) :: STArray s i e -> STArray s i e -> Bool #

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

Defined in Data.Functor.Const

Methods

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

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

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

Defined in Data.Semigroup.Internal

Methods

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

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

Eq (a :~: b) 
Instance details

Defined in Data.Type.Equality

Methods

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

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

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

Defined in Control.Monad.Trans.Error

Methods

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

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

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

Defined in Data.Functor.Constant

Methods

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

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

Eq c => Eq (K1 i c p) 
Instance details

Defined in GHC.Generics

Methods

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

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

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

Defined in GHC.Generics

Methods

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

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

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

Defined in GHC.Generics

Methods

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

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

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

Defined in GHC.Classes

Methods

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

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

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

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

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

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

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

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Sum

Methods

(==) :: Sum f g a -> Sum f g a -> Bool #

(/=) :: Sum f g a -> Sum f g a -> Bool #

Eq (a :~~: b)

Since: base-4.10.0.0

Instance details

Defined in Data.Type.Equality

Methods

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

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

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

Defined in GHC.Generics

Methods

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

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

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

Defined in GHC.Generics

Methods

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

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

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

Defined in GHC.Classes

Methods

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

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

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

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Compose

Methods

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

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

(Eq 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 #

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

(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 #

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

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

Defined in GHC.Classes

Methods

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

(/=) :: (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 #

type FilePath = String #

File and directory names are values of type String, whose precise meaning is operating system dependent. Files can be opened, yielding a handle which can then be used to operate on the contents of that file.

class Functor (f :: * -> *) where #

The Functor class is used for types that can be mapped over. Instances of Functor should satisfy the following laws:

fmap id  ==  id
fmap (f . g)  ==  fmap f . fmap g

The instances of Functor for lists, Maybe and IO satisfy these laws.

Minimal complete definition

fmap

Methods

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

(<$) :: a -> f b -> f a infixl 4 #

Replace all locations in the input with the same value. The default definition is fmap . const, but this may be overridden with a more efficient version.

Instances
Functor []

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

fmap :: (a -> b) -> [a] -> [b] #

(<$) :: a -> [b] -> [a] #

Functor Maybe

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

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

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

Functor IO

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

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

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

Functor Par1 
Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> Par1 a -> Par1 b #

(<$) :: a -> Par1 b -> Par1 a #

Functor Q 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

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

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

Functor Rose 
Instance details

Defined in Test.QuickCheck.Property

Methods

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

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

Functor Gen 
Instance details

Defined in Test.QuickCheck.Gen

Methods

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

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

Functor Complex 
Instance details

Defined in Data.Complex

Methods

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

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

Functor Min

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

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

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

Functor Max

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

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

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

Functor First

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

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

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

Functor Last

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

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

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

Functor Option

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

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

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

Functor ZipList 
Instance details

Defined in Control.Applicative

Methods

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

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

Functor Identity

Since: base-4.8.0.0

Instance details

Defined in Data.Functor.Identity

Methods

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

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

Functor Handler

Since: base-4.6.0.0

Instance details

Defined in Control.Exception

Methods

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

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

Functor STM

Since: base-4.3.0.0

Instance details

Defined in GHC.Conc.Sync

Methods

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

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

Functor First 
Instance details

Defined in Data.Monoid

Methods

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

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

Functor Last 
Instance details

Defined in Data.Monoid

Methods

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

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

Functor Dual

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

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

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

Functor Sum

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

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

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

Functor Product

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

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

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

Functor Down

Since: base-4.11.0.0

Instance details

Defined in Data.Ord

Methods

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

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

Functor ReadPrec

Since: base-2.1

Instance details

Defined in Text.ParserCombinators.ReadPrec

Methods

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

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

Functor ReadP

Since: base-2.1

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

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

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

Functor NonEmpty

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

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

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

Functor IntMap 
Instance details

Defined in Data.IntMap.Internal

Methods

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

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

Functor Tree 
Instance details

Defined in Data.Tree

Methods

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

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

Functor Seq 
Instance details

Defined in Data.Sequence.Internal

Methods

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

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

Functor FingerTree 
Instance details

Defined in Data.Sequence.Internal

Methods

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

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

Functor Digit 
Instance details

Defined in Data.Sequence.Internal

Methods

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

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

Functor Node 
Instance details

Defined in Data.Sequence.Internal

Methods

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

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

Functor Elem 
Instance details

Defined in Data.Sequence.Internal

Methods

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

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

Functor ViewL 
Instance details

Defined in Data.Sequence.Internal

Methods

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

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

Functor ViewR 
Instance details

Defined in Data.Sequence.Internal

Methods

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

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

Functor Consumed 
Instance details

Defined in Text.Parsec.Prim

Methods

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

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

Functor Doc 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

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

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

Functor AnnotDetails 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

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

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

Functor Span 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

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

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

Functor P 
Instance details

Defined in Text.ParserCombinators.ReadP

Methods

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

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

Functor T # 
Instance details

Defined in MathObj.Wrapper.Haskell98

Methods

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

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

Functor T # 
Instance details

Defined in MathObj.PowerSeries

Methods

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

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

Functor T # 
Instance details

Defined in MathObj.PowerSeries2

Methods

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

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

Functor T # 
Instance details

Defined in MathObj.Polynomial

Methods

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

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

Functor T # 
Instance details

Defined in MathObj.RefinementMask2

Methods

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

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

Functor T #

When you use fmap you must assert that forall n. fmap f (Cons d x) == fmap f (Cons (n*d) (x^n))

Instance details

Defined in Number.Root

Methods

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

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

Functor T # 
Instance details

Defined in MathObj.Matrix

Methods

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

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

Functor T # 
Instance details

Defined in Number.Complex

Methods

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

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

Functor T # 
Instance details

Defined in MathObj.LaurentPolynomial

Methods

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

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

Functor T # 
Instance details

Defined in MathObj.Wrapper.NumericPrelude

Methods

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

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

Functor (Either a)

Since: base-3.0

Instance details

Defined in Data.Either

Methods

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

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

Functor (V1 :: * -> *)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> V1 a -> V1 b #

(<$) :: a -> V1 b -> V1 a #

Functor (U1 :: * -> *)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> U1 a -> U1 b #

(<$) :: a -> U1 b -> U1 a #

Functor ((,) a)

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

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

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

Functor (Array i)

Since: base-2.1

Instance details

Defined in GHC.Arr

Methods

fmap :: (a -> b) -> Array i a -> Array i b #

(<$) :: a -> Array i b -> Array i a #

Functor (Arg a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

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

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

Monad m => Functor (WrappedMonad m)

Since: base-2.1

Instance details

Defined in Control.Applicative

Methods

fmap :: (a -> b) -> WrappedMonad m a -> WrappedMonad m b #

(<$) :: a -> WrappedMonad m b -> WrappedMonad m a #

Arrow a => Functor (ArrowMonad a)

Since: base-4.6.0.0

Instance details

Defined in Control.Arrow

Methods

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

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

Functor (Proxy :: * -> *)

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

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

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