base-4.17.0.0: Basic libraries
Copyright(c) The University of Glasgow 1992-2002
Licensesee libraries/base/LICENSE
Maintainercvs-ghc@haskell.org
Stabilityinternal
Portabilitynon-portable (GHC extensions)
Safe HaskellTrustworthy
LanguageHaskell2010

GHC.Enum

Description

The Enum and Bounded classes.

Synopsis

Documentation

class Bounded a where Source #

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

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

Methods

minBound :: a Source #

maxBound :: a Source #

Instances

Instances details
Bounded All Source #

Since: base-2.1

Instance details

Defined in Data.Semigroup.Internal

Bounded Any Source #

Since: base-2.1

Instance details

Defined in Data.Semigroup.Internal

Bounded CBool Source # 
Instance details

Defined in Foreign.C.Types

Bounded CChar Source # 
Instance details

Defined in Foreign.C.Types

Bounded CInt Source # 
Instance details

Defined in Foreign.C.Types

Bounded CIntMax Source # 
Instance details

Defined in Foreign.C.Types

Bounded CIntPtr Source # 
Instance details

Defined in Foreign.C.Types

Bounded CLLong Source # 
Instance details

Defined in Foreign.C.Types

Bounded CLong Source # 
Instance details

Defined in Foreign.C.Types

Bounded CPtrdiff Source # 
Instance details

Defined in Foreign.C.Types

Bounded CSChar Source # 
Instance details

Defined in Foreign.C.Types

Bounded CShort Source # 
Instance details

Defined in Foreign.C.Types

Bounded CSigAtomic Source # 
Instance details

Defined in Foreign.C.Types

Bounded CSize Source # 
Instance details

Defined in Foreign.C.Types

Bounded CUChar Source # 
Instance details

Defined in Foreign.C.Types

Bounded CUInt Source # 
Instance details

Defined in Foreign.C.Types

Bounded CUIntMax Source # 
Instance details

Defined in Foreign.C.Types

Bounded CUIntPtr Source # 
Instance details

Defined in Foreign.C.Types

Bounded CULLong Source # 
Instance details

Defined in Foreign.C.Types

Bounded CULong Source # 
Instance details

Defined in Foreign.C.Types

Bounded CUShort Source # 
Instance details

Defined in Foreign.C.Types

Bounded CWchar Source # 
Instance details

Defined in Foreign.C.Types

Bounded IntPtr Source # 
Instance details

Defined in Foreign.Ptr

Bounded WordPtr Source # 
Instance details

Defined in Foreign.Ptr

Bounded ByteOrder Source #

Since: base-4.11.0.0

Instance details

Defined in GHC.ByteOrder

Bounded Associativity Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Bounded DecidedStrictness Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Bounded SourceStrictness Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Bounded SourceUnpackedness Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Bounded Int16 Source #

Since: base-2.1

Instance details

Defined in GHC.Int

Bounded Int32 Source #

Since: base-2.1

Instance details

Defined in GHC.Int

Bounded Int64 Source #

Since: base-2.1

Instance details

Defined in GHC.Int

Bounded Int8 Source #

Since: base-2.1

Instance details

Defined in GHC.Int

Bounded GeneralCategory Source #

Since: base-2.1

Instance details

Defined in GHC.Unicode

Bounded Word16 Source #

Since: base-2.1

Instance details

Defined in GHC.Word

Bounded Word32 Source #

Since: base-2.1

Instance details

Defined in GHC.Word

Bounded Word64 Source #

Since: base-2.1

Instance details

Defined in GHC.Word

Bounded Word8 Source #

Since: base-2.1

Instance details

Defined in GHC.Word

Bounded CBlkCnt Source # 
Instance details

Defined in System.Posix.Types

Bounded CBlkSize Source # 
Instance details

Defined in System.Posix.Types

Bounded CClockId Source # 
Instance details

Defined in System.Posix.Types

Bounded CDev Source # 
Instance details

Defined in System.Posix.Types

Bounded CFsBlkCnt Source # 
Instance details

Defined in System.Posix.Types

Bounded CFsFilCnt Source # 
Instance details

Defined in System.Posix.Types

Bounded CGid Source # 
Instance details

Defined in System.Posix.Types

Bounded CId Source # 
Instance details

Defined in System.Posix.Types

Bounded CIno Source # 
Instance details

Defined in System.Posix.Types

Bounded CKey Source # 
Instance details

Defined in System.Posix.Types

Bounded CMode Source # 
Instance details

Defined in System.Posix.Types

Bounded CNfds Source # 
Instance details

Defined in System.Posix.Types

Bounded CNlink Source # 
Instance details

Defined in System.Posix.Types

Bounded COff Source # 
Instance details

Defined in System.Posix.Types

Bounded CPid Source # 
Instance details

Defined in System.Posix.Types

Bounded CRLim Source # 
Instance details

Defined in System.Posix.Types

Bounded CSocklen Source # 
Instance details

Defined in System.Posix.Types

Bounded CSsize Source # 
Instance details

Defined in System.Posix.Types

Bounded CTcflag Source # 
Instance details

Defined in System.Posix.Types

Bounded CUid Source # 
Instance details

Defined in System.Posix.Types

Bounded Fd Source # 
Instance details

Defined in System.Posix.Types

Bounded Ordering Source #

Since: base-2.1

Instance details

Defined in GHC.Enum

Bounded () Source #

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

minBound :: () Source #

maxBound :: () Source #

Bounded Bool Source #

Since: base-2.1

Instance details

Defined in GHC.Enum

Bounded Char Source #

Since: base-2.1

Instance details

Defined in GHC.Enum

Bounded Int Source #

Since: base-2.1

Instance details

Defined in GHC.Enum

Bounded Levity Source #

Since: base-4.16.0.0

Instance details

Defined in GHC.Enum

Bounded VecCount Source #

Since: base-4.10.0.0

Instance details

Defined in GHC.Enum

Bounded VecElem Source #

Since: base-4.10.0.0

Instance details

Defined in GHC.Enum

Bounded Word Source #

Since: base-2.1

Instance details

Defined in GHC.Enum

Bounded a => Bounded (And a) Source #

Since: base-4.16

Instance details

Defined in Data.Bits

Bounded a => Bounded (Iff a) Source #

Since: base-4.16

Instance details

Defined in Data.Bits

Bounded a => Bounded (Ior a) Source #

Since: base-4.16

Instance details

Defined in Data.Bits

Bounded a => Bounded (Xor a) Source #

Since: base-4.16

Instance details

Defined in Data.Bits

Bounded a => Bounded (Identity a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Identity

Bounded a => Bounded (Down a) Source #

Swaps minBound and maxBound of the underlying type.

Since: base-4.14.0.0

Instance details

Defined in Data.Ord

Bounded a => Bounded (First a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Bounded a => Bounded (Last a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Bounded a => Bounded (Max a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Bounded a => Bounded (Min a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Bounded m => Bounded (WrappedMonoid m) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Bounded a => Bounded (Dual a) Source #

Since: base-2.1

Instance details

Defined in Data.Semigroup.Internal

Bounded a => Bounded (Product a) Source #

Since: base-2.1

Instance details

Defined in Data.Semigroup.Internal

Bounded a => Bounded (Sum a) Source #

Since: base-2.1

Instance details

Defined in Data.Semigroup.Internal

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

Defined in GHC.Enum

Methods

minBound :: (a) Source #

maxBound :: (a) Source #

Bounded (Proxy t) Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

minBound :: (a, b) Source #

maxBound :: (a, b) Source #

Bounded a => Bounded (Const a b) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Methods

minBound :: Const a b Source #

maxBound :: Const a b Source #

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

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

minBound :: Ap f a Source #

maxBound :: Ap f a Source #

Coercible a b => Bounded (Coercion a b) Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Type.Coercion

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

Since: base-4.7.0.0

Instance details

Defined in Data.Type.Equality

Methods

minBound :: a :~: b Source #

maxBound :: a :~: b Source #

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

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

Since: base-4.10.0.0

Instance details

Defined in Data.Type.Equality

Methods

minBound :: a :~~: b Source #

maxBound :: a :~~: b Source #

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

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

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

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

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

class Enum a where Source #

Class Enum defines operations on sequentially ordered types.

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

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

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

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

Minimal complete definition

toEnum, fromEnum

Methods

succ :: a -> a Source #

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

pred :: a -> a Source #

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

toEnum :: Int -> a Source #

Convert from an Int.

fromEnum :: a -> Int Source #

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

enumFrom :: a -> [a] Source #

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

  • enumFrom 4 :: [Integer] = [4,5,6,7,...]
  • enumFrom 6 :: [Int] = [6,7,8,9,...,maxBound :: Int]

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

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

  • enumFromThen 4 6 :: [Integer] = [4,6,8,10...]
  • enumFromThen 6 2 :: [Int] = [6,2,-2,-6,...,minBound :: Int]

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

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

  • enumFromTo 6 10 :: [Int] = [6,7,8,9,10]
  • enumFromTo 42 1 :: [Integer] = []

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

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

  • enumFromThenTo 4 2 -6 :: [Integer] = [4,2,0,-2,-4,-6]
  • enumFromThenTo 6 8 2 :: [Int] = []

Instances

Instances details
Enum CBool Source # 
Instance details

Defined in Foreign.C.Types

Enum CChar Source # 
Instance details

Defined in Foreign.C.Types

Enum CClock Source # 
Instance details

Defined in Foreign.C.Types

Enum CDouble Source # 
Instance details

Defined in Foreign.C.Types

Enum CFloat Source # 
Instance details

Defined in Foreign.C.Types

Enum CInt Source # 
Instance details

Defined in Foreign.C.Types

Enum CIntMax Source # 
Instance details

Defined in Foreign.C.Types

Enum CIntPtr Source # 
Instance details

Defined in Foreign.C.Types

Enum CLLong Source # 
Instance details

Defined in Foreign.C.Types

Enum CLong Source # 
Instance details

Defined in Foreign.C.Types

Enum CPtrdiff Source # 
Instance details

Defined in Foreign.C.Types

Enum CSChar Source # 
Instance details

Defined in Foreign.C.Types

Enum CSUSeconds Source # 
Instance details

Defined in Foreign.C.Types

Enum CShort Source # 
Instance details

Defined in Foreign.C.Types

Enum CSigAtomic Source # 
Instance details

Defined in Foreign.C.Types

Enum CSize Source # 
Instance details

Defined in Foreign.C.Types

Enum CTime Source # 
Instance details

Defined in Foreign.C.Types

Enum CUChar Source # 
Instance details

Defined in Foreign.C.Types

Enum CUInt Source # 
Instance details

Defined in Foreign.C.Types

Enum CUIntMax Source # 
Instance details

Defined in Foreign.C.Types

Enum CUIntPtr Source # 
Instance details

Defined in Foreign.C.Types

Enum CULLong Source # 
Instance details

Defined in Foreign.C.Types

Enum CULong Source # 
Instance details

Defined in Foreign.C.Types

Enum CUSeconds Source # 
Instance details

Defined in Foreign.C.Types

Enum CUShort Source # 
Instance details

Defined in Foreign.C.Types

Enum CWchar Source # 
Instance details

Defined in Foreign.C.Types

Enum IntPtr Source # 
Instance details

Defined in Foreign.Ptr

Enum WordPtr Source # 
Instance details

Defined in Foreign.Ptr

Enum ByteOrder Source #

Since: base-4.11.0.0

Instance details

Defined in GHC.ByteOrder

Enum Associativity Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Enum DecidedStrictness Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Enum SourceStrictness Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Enum SourceUnpackedness Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Enum SeekMode Source #

Since: base-4.2.0.0

Instance details

Defined in GHC.IO.Device

Enum IOMode Source #

Since: base-4.2.0.0

Instance details

Defined in GHC.IO.IOMode

Enum Int16 Source #

Since: base-2.1

Instance details

Defined in GHC.Int

Enum Int32 Source #

Since: base-2.1

Instance details

Defined in GHC.Int

Enum Int64 Source #

Since: base-2.1

Instance details

Defined in GHC.Int

Enum Int8 Source #

Since: base-2.1

Instance details

Defined in GHC.Int

Enum DoCostCentres Source #

Since: base-4.8.0.0

Instance details

Defined in GHC.RTS.Flags

Enum DoHeapProfile Source #

Since: base-4.8.0.0

Instance details

Defined in GHC.RTS.Flags

Enum DoTrace Source #

Since: base-4.8.0.0

Instance details

Defined in GHC.RTS.Flags

Enum GiveGCStats Source #

Since: base-4.8.0.0

Instance details

Defined in GHC.RTS.Flags

Enum IoSubSystem Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.RTS.Flags

Enum GeneralCategory Source #

Since: base-2.1

Instance details

Defined in GHC.Unicode

Enum Word16 Source #

Since: base-2.1

Instance details

Defined in GHC.Word

Enum Word32 Source #

Since: base-2.1

Instance details

Defined in GHC.Word

Enum Word64 Source #

Since: base-2.1

Instance details

Defined in GHC.Word

Enum Word8 Source #

Since: base-2.1

Instance details

Defined in GHC.Word

Enum CBlkCnt Source # 
Instance details

Defined in System.Posix.Types

Enum CBlkSize Source # 
Instance details

Defined in System.Posix.Types

Enum CCc Source # 
Instance details

Defined in System.Posix.Types

Enum CClockId Source # 
Instance details

Defined in System.Posix.Types

Enum CDev Source # 
Instance details

Defined in System.Posix.Types

Enum CFsBlkCnt Source # 
Instance details

Defined in System.Posix.Types

Enum CFsFilCnt Source # 
Instance details

Defined in System.Posix.Types

Enum CGid Source # 
Instance details

Defined in System.Posix.Types

Enum CId Source # 
Instance details

Defined in System.Posix.Types

Enum CIno Source # 
Instance details

Defined in System.Posix.Types

Enum CKey Source # 
Instance details

Defined in System.Posix.Types

Enum CMode Source # 
Instance details

Defined in System.Posix.Types

Enum CNfds Source # 
Instance details

Defined in System.Posix.Types

Enum CNlink Source # 
Instance details

Defined in System.Posix.Types

Enum COff Source # 
Instance details

Defined in System.Posix.Types

Enum CPid Source # 
Instance details

Defined in System.Posix.Types

Enum CRLim Source # 
Instance details

Defined in System.Posix.Types

Enum CSocklen Source # 
Instance details

Defined in System.Posix.Types

Enum CSpeed Source # 
Instance details

Defined in System.Posix.Types

Enum CSsize Source # 
Instance details

Defined in System.Posix.Types

Enum CTcflag Source # 
Instance details

Defined in System.Posix.Types

Enum CUid Source # 
Instance details

Defined in System.Posix.Types

Enum Fd Source # 
Instance details

Defined in System.Posix.Types

Methods

succ :: Fd -> Fd Source #

pred :: Fd -> Fd Source #

toEnum :: Int -> Fd Source #

fromEnum :: Fd -> Int Source #

enumFrom :: Fd -> [Fd] Source #

enumFromThen :: Fd -> Fd -> [Fd] Source #

enumFromTo :: Fd -> Fd -> [Fd] Source #

enumFromThenTo :: Fd -> Fd -> Fd -> [Fd] Source #

Enum Ordering Source #

Since: base-2.1

Instance details

Defined in GHC.Enum

Enum Integer Source #

Since: base-2.1

Instance details

Defined in GHC.Enum

Enum Natural Source #

Since: base-4.8.0.0

Instance details

Defined in GHC.Enum

Enum () Source #

Since: base-2.1

Instance details

Defined in GHC.Enum

Methods

succ :: () -> () Source #

pred :: () -> () Source #

toEnum :: Int -> () Source #

fromEnum :: () -> Int Source #

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

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

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

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

Enum Bool Source #

Since: base-2.1

Instance details

Defined in GHC.Enum

Enum Char Source #

Since: base-2.1

Instance details

Defined in GHC.Enum

Enum Double Source #

Since: base-2.1

Instance details

Defined in GHC.Float

Enum Float Source #

Since: base-2.1

Instance details

Defined in GHC.Float

Enum Int Source #

Since: base-2.1

Instance details

Defined in GHC.Enum

Enum Levity Source #

Since: base-4.16.0.0

Instance details

Defined in GHC.Enum

Enum VecCount Source #

Since: base-4.10.0.0

Instance details

Defined in GHC.Enum

Enum VecElem Source #

Since: base-4.10.0.0

Instance details

Defined in GHC.Enum

Enum Word Source #

Since: base-2.1

Instance details

Defined in GHC.Enum

Enum a => Enum (And a) Source #

Since: base-4.16

Instance details

Defined in Data.Bits

Methods

succ :: And a -> And a Source #

pred :: And a -> And a Source #

toEnum :: Int -> And a Source #

fromEnum :: And a -> Int Source #

enumFrom :: And a -> [And a] Source #

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

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

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

Enum a => Enum (Iff a) Source #

Since: base-4.16

Instance details

Defined in Data.Bits

Methods

succ :: Iff a -> Iff a Source #

pred :: Iff a -> Iff a Source #

toEnum :: Int -> Iff a Source #

fromEnum :: Iff a -> Int Source #

enumFrom :: Iff a -> [Iff a] Source #

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

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

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

Enum a => Enum (Ior a) Source #

Since: base-4.16

Instance details

Defined in Data.Bits

Methods

succ :: Ior a -> Ior a Source #

pred :: Ior a -> Ior a Source #

toEnum :: Int -> Ior a Source #

fromEnum :: Ior a -> Int Source #

enumFrom :: Ior a -> [Ior a] Source #

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

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

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

Enum a => Enum (Xor a) Source #

Since: base-4.16

Instance details

Defined in Data.Bits

Methods

succ :: Xor a -> Xor a Source #

pred :: Xor a -> Xor a Source #

toEnum :: Int -> Xor a Source #

fromEnum :: Xor a -> Int Source #

enumFrom :: Xor a -> [Xor a] Source #

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

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

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

Enum a => Enum (Identity a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Identity

(Enum a, Bounded a, Eq a) => Enum (Down a) Source #

Swaps succ and pred of the underlying type.

Since: base-4.18.0.0

Instance details

Defined in Data.Ord

Methods

succ :: Down a -> Down a Source #

pred :: Down a -> Down a Source #

toEnum :: Int -> Down a Source #

fromEnum :: Down a -> Int Source #

enumFrom :: Down a -> [Down a] Source #

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

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

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

Enum a => Enum (First a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

succ :: First a -> First a Source #

pred :: First a -> First a Source #

toEnum :: Int -> First a Source #

fromEnum :: First a -> Int Source #

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

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

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

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

Enum a => Enum (Last a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

succ :: Last a -> Last a Source #

pred :: Last a -> Last a Source #

toEnum :: Int -> Last a Source #

fromEnum :: Last a -> Int Source #

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

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

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

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

Enum a => Enum (Max a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

succ :: Max a -> Max a Source #

pred :: Max a -> Max a Source #

toEnum :: Int -> Max a Source #

fromEnum :: Max a -> Int Source #

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

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

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

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

Enum a => Enum (Min a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

succ :: Min a -> Min a Source #

pred :: Min a -> Min a Source #

toEnum :: Int -> Min a Source #

fromEnum :: Min a -> Int Source #

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

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

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

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

Enum a => Enum (WrappedMonoid a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Integral a => Enum (Ratio a) Source #

Since: base-2.0.1

Instance details

Defined in GHC.Real

Methods

succ :: Ratio a -> Ratio a Source #

pred :: Ratio a -> Ratio a Source #

toEnum :: Int -> Ratio a Source #

fromEnum :: Ratio a -> Int Source #

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

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

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

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

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

Defined in GHC.Enum

Methods

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

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

toEnum :: Int -> (a) Source #

fromEnum :: (a) -> Int Source #

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

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

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

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

Enum (Fixed a) Source #

Recall that, for numeric types, succ and pred typically add and subtract 1, respectively. This is not true in the case of Fixed, whose successor and predecessor functions intuitively return the "next" and "previous" values in the enumeration. The results of these functions thus depend on the resolution of the Fixed value. For example, when enumerating values of resolution 10^-3 of type Milli = Fixed E3,

  succ (0.000 :: Milli) == 0.001

and likewise

  pred (0.000 :: Milli) == -0.001

In other words, succ and pred increment and decrement a fixed-precision value by the least amount such that the value's resolution is unchanged. For example, 10^-12 is the smallest (positive) amount that can be added to a value of type Pico = Fixed E12 without changing its resolution, and so

  succ (0.000000000000 :: Pico) == 0.000000000001

and similarly

  pred (0.000000000000 :: Pico) == -0.000000000001

This is worth bearing in mind when defining Fixed arithmetic sequences. In particular, you may be forgiven for thinking the sequence

  [1..10] :: [Pico]

evaluates to [1, 2, 3, 4, 5, 6, 7, 8, 9, 10] :: [Pico].

However, this is not true. On the contrary, similarly to the above implementations of succ and pred, enumFromTo :: Pico -> Pico -> [Pico] has a "step size" of 10^-12. Hence, the list [1..10] :: [Pico] has the form

  [1.000000000000, 1.00000000001, 1.00000000002, ..., 10.000000000000]

and contains 9 * 10^12 + 1 values.

Since: base-2.1

Instance details

Defined in Data.Fixed

Methods

succ :: Fixed a -> Fixed a Source #

pred :: Fixed a -> Fixed a Source #

toEnum :: Int -> Fixed a Source #

fromEnum :: Fixed a -> Int Source #

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

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

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

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

Enum (Proxy s) Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

succ :: Proxy s -> Proxy s Source #

pred :: Proxy s -> Proxy s Source #

toEnum :: Int -> Proxy s Source #

fromEnum :: Proxy s -> Int Source #

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

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

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

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

Enum a => Enum (Const a b) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Methods

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

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

toEnum :: Int -> Const a b Source #

fromEnum :: Const a b -> Int Source #

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

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

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

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

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

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

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

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

toEnum :: Int -> Ap f a Source #

fromEnum :: Ap f a -> Int Source #

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

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

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

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

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

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

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

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

toEnum :: Int -> Alt f a Source #

fromEnum :: Alt f a -> Int Source #

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

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

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

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

Coercible a b => Enum (Coercion a b) Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Type.Coercion

Methods

succ :: Coercion a b -> Coercion a b Source #

pred :: Coercion a b -> Coercion a b Source #

toEnum :: Int -> Coercion a b Source #

fromEnum :: Coercion a b -> Int Source #

enumFrom :: Coercion a b -> [Coercion a b] Source #

enumFromThen :: Coercion a b -> Coercion a b -> [Coercion a b] Source #

enumFromTo :: Coercion a b -> Coercion a b -> [Coercion a b] Source #

enumFromThenTo :: Coercion a b -> Coercion a b -> Coercion a b -> [Coercion a b] Source #

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

Since: base-4.7.0.0

Instance details

Defined in Data.Type.Equality

Methods

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

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

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

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

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

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

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

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

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

Since: base-4.10.0.0

Instance details

Defined in Data.Type.Equality

Methods

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

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

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

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

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

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

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

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

boundedEnumFrom :: (Enum a, Bounded a) => a -> [a] Source #

boundedEnumFromThen :: (Enum a, Bounded a) => a -> a -> [a] Source #

toEnumError :: Show a => String -> Int -> (a, a) -> b Source #

fromEnumError :: Show a => String -> a -> b Source #