base-4.21.0.0: Core data structures and operations
Copyright(c) The University of Glasgow 1992-2002
Licensesee libraries/base/LICENSE
Maintainerghc-devs@haskell.org
Stabilityinternal
Portabilitynon-portable (GHC extensions)
Safe HaskellSafe
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 ByteOrder Source #

Since: base-4.11.0.0

Instance details

Defined in GHC.Internal.ByteOrder

Bounded All Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Data.Semigroup.Internal

Bounded Any Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Data.Semigroup.Internal

Instance details

Defined in GHC.Internal.Foreign.C.Types

Instance details

Defined in GHC.Internal.Foreign.C.Types

Instance details

Defined in GHC.Internal.Foreign.C.Types

Instance details

Defined in GHC.Internal.Foreign.C.Types

Instance details

Defined in GHC.Internal.Foreign.C.Types

Instance details

Defined in GHC.Internal.Foreign.C.Types

Instance details

Defined in GHC.Internal.Foreign.C.Types

Instance details

Defined in GHC.Internal.Foreign.C.Types

Instance details

Defined in GHC.Internal.Foreign.C.Types

Instance details

Defined in GHC.Internal.Foreign.C.Types

Instance details

Defined in GHC.Internal.Foreign.C.Types

Instance details

Defined in GHC.Internal.Foreign.C.Types

Instance details

Defined in GHC.Internal.Foreign.C.Types

Instance details

Defined in GHC.Internal.Foreign.C.Types

Instance details

Defined in GHC.Internal.Foreign.C.Types

Instance details

Defined in GHC.Internal.Foreign.C.Types

Instance details

Defined in GHC.Internal.Foreign.C.Types

Instance details

Defined in GHC.Internal.Foreign.C.Types

Instance details

Defined in GHC.Internal.Foreign.C.Types

Instance details

Defined in GHC.Internal.Foreign.Ptr

Instance details

Defined in GHC.Internal.Foreign.Ptr

Bounded Associativity Source #

Since: base-4.9.0.0

Bounded DecidedStrictness Source #

Since: base-4.9.0.0

Bounded SourceStrictness Source #

Since: base-4.9.0.0

Bounded SourceUnpackedness Source #

Since: base-4.9.0.0

Bounded Int16 Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Int

Bounded Int32 Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Int

Bounded Int64 Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Int

Bounded Int8 Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Int

Instance details

Defined in GHC.Internal.System.Posix.Types

Instance details

Defined in GHC.Internal.System.Posix.Types

Instance details

Defined in GHC.Internal.System.Posix.Types

Instance details

Defined in GHC.Internal.System.Posix.Types

Instance details

Defined in GHC.Internal.System.Posix.Types

Instance details

Defined in GHC.Internal.System.Posix.Types

Instance details

Defined in GHC.Internal.System.Posix.Types

Instance details

Defined in GHC.Internal.System.Posix.Types

Instance details

Defined in GHC.Internal.System.Posix.Types

Instance details

Defined in GHC.Internal.System.Posix.Types

Instance details

Defined in GHC.Internal.System.Posix.Types

Instance details

Defined in GHC.Internal.System.Posix.Types

Instance details

Defined in GHC.Internal.System.Posix.Types

Instance details

Defined in GHC.Internal.System.Posix.Types

Instance details

Defined in GHC.Internal.System.Posix.Types

Instance details

Defined in GHC.Internal.System.Posix.Types

Bounded GeneralCategory Source #

Since: base-2.1

Bounded Word16 Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Word

Bounded Word32 Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Word

Bounded Word64 Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Word

Bounded Word8 Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Word

Bounded Ordering Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Bounded () Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Methods

minBound :: () Source #

maxBound :: () Source #

Bounded Bool Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Bounded Char Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Bounded Int Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Bounded Levity Source #

Since: base-4.16.0.0

Instance details

Defined in GHC.Internal.Enum

Bounded VecCount Source #

Since: base-4.10.0.0

Instance details

Defined in GHC.Internal.Enum

Bounded VecElem Source #

Since: base-4.10.0.0

Instance details

Defined in GHC.Internal.Enum

Bounded Word Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

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

Methods

minBound :: Max a Source #

maxBound :: Max a Source #

Bounded a => Bounded (Min a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

minBound :: Min a Source #

maxBound :: Min a Source #

Bounded m => Bounded (WrappedMonoid m) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Bounded a => Bounded (And a) Source #

Since: base-4.16

Instance details

Defined in GHC.Internal.Data.Bits

Methods

minBound :: And a Source #

maxBound :: And a Source #

Bounded a => Bounded (Iff a) Source #

Since: base-4.16

Instance details

Defined in GHC.Internal.Data.Bits

Methods

minBound :: Iff a Source #

maxBound :: Iff a Source #

Bounded a => Bounded (Ior a) Source #

Since: base-4.16

Instance details

Defined in GHC.Internal.Data.Bits

Methods

minBound :: Ior a Source #

maxBound :: Ior a Source #

Bounded a => Bounded (Xor a) Source #

Since: base-4.16

Instance details

Defined in GHC.Internal.Data.Bits

Methods

minBound :: Xor a Source #

maxBound :: Xor a Source #

Bounded a => Bounded (Identity a) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.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 GHC.Internal.Data.Ord

Bounded a => Bounded (Dual a) Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Data.Semigroup.Internal

Bounded a => Bounded (Product a) Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Data.Semigroup.Internal

Bounded a => Bounded (Sum a) Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Data.Semigroup.Internal

Methods

minBound :: Sum a Source #

maxBound :: Sum a Source #

Instance details

Defined in GHC.Internal.Enum

Bounded (Proxy t) Source #

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Data.Proxy

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

Since: base-2.1

Instance details

Defined in GHC.Internal.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 GHC.Internal.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 GHC.Internal.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 GHC.Internal.Data.Type.Coercion

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

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.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.Internal.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 GHC.Internal.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.Internal.Enum

Methods

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

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

Bounded (f (g a)) => Bounded (Compose f g a) Source #

Since: base-4.19.0.0

Instance details

Defined in Data.Functor.Compose

Methods

minBound :: Compose f g a Source #

maxBound :: Compose f g a 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.Internal.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.Internal.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.Internal.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.Internal.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.Internal.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.Internal.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.Internal.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.Internal.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.Internal.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.Internal.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.Internal.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 #

Successor of a value. For numeric types, succ adds 1.

pred :: a -> a Source #

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).

Examples

Expand
  • 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
 

Examples

Expand
  • 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 = []
 

Examples

Expand
  • 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 = []
 

Examples

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

Instances

Instances details
Enum ByteOrder Source #

Since: base-4.11.0.0

Enum Associativity Source #

Since: base-4.9.0.0

Enum DecidedStrictness Source #

Since: base-4.9.0.0

Enum SourceStrictness Source #

Since: base-4.9.0.0

Enum SourceUnpackedness Source #

Since: base-4.9.0.0

Enum SeekMode Source #

Since: base-4.2.0.0

Enum IOMode Source #

Since: base-4.2.0.0

Enum Int16 Source #

Since: base-2.1

Enum Int32 Source #

Since: base-2.1

Enum Int64 Source #

Since: base-2.1

Enum Int8 Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Int

Enum DoCostCentres Source #

Since: base-4.8.0.0

Enum DoHeapProfile Source #

Since: base-4.8.0.0

Enum DoTrace Source #

Since: base-4.8.0.0

Enum GiveGCStats Source #

Since: base-4.8.0.0

Instance details

Defined in GHC.Internal.System.Posix.Types

Instance details

Defined in GHC.Internal.System.Posix.Types

Instance details

Defined in GHC.Internal.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 GeneralCategory Source #

Since: base-2.1

Enum Word16 Source #

Since: base-2.1

Enum Word32 Source #

Since: base-2.1

Enum Word64 Source #

Since: base-2.1

Enum Word8 Source #

Since: base-2.1

Enum Ordering Source #

Since: base-2.1

Enum Integer Source #

Since: base-2.1

Enum Natural Source #

Since: base-4.8.0.0

Enum () Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.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.Internal.Enum

Enum Char Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Enum Int Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Enum Levity Source #

Since: base-4.16.0.0

Enum VecCount Source #

Since: base-4.10.0.0

Enum VecElem Source #

Since: base-4.10.0.0

Enum Word Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

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

Enum a => Enum (And a) Source #

Since: base-4.16

Instance details

Defined in GHC.Internal.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 GHC.Internal.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 GHC.Internal.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 GHC.Internal.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

(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 GHC.Internal.Data.Ord

Methods

succ :: Down a -> Down a Source #

pred :: Down a -> Down a Source #

toEnum :: Int -> Down a Source #

fromEnum :: Down a -> Int Source #

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

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

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

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

Integral a => Enum (Ratio a) Source #

Since: base-2.0.1

Instance details

Defined in GHC.Internal.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 (Solo a) Source #
Instance details

Defined in GHC.Internal.Enum

Methods

succ :: Solo a -> Solo a Source #

pred :: Solo a -> Solo a Source #

toEnum :: Int -> Solo a Source #

fromEnum :: Solo a -> Int Source #

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

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

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

enumFromThenTo :: Solo a -> Solo a -> Solo a -> [Solo 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 GHC.Internal.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 GHC.Internal.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 GHC.Internal.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 GHC.Internal.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 GHC.Internal.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 GHC.Internal.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 GHC.Internal.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 #

Enum (f (g a)) => Enum (Compose f g a) Source #

Since: base-4.19.0.0

Instance details

Defined in Data.Functor.Compose

Methods

succ :: Compose f g a -> Compose f g a Source #

pred :: Compose f g a -> Compose f g a Source #

toEnum :: Int -> Compose f g a Source #

fromEnum :: Compose f g a -> Int Source #

enumFrom :: Compose f g a -> [Compose f g a] Source #

enumFromThen :: Compose f g a -> Compose f g a -> [Compose f g a] Source #

enumFromTo :: Compose f g a -> Compose f g a -> [Compose f g a] Source #

enumFromThenTo :: Compose f g a -> Compose f g a -> Compose f g a -> [Compose f g a] 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 #

succError :: String -> a Source #

predError :: String -> a Source #

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