precursor-0.1.0.0: Prelude replacement

Safe HaskellSafe
LanguageHaskell2010

Precursor.Algebra.Enum

Contents

Synopsis

Enum class

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 

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 

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 

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 

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 
Enum Int32 
Enum Int64 
Enum Integer 
Enum Ordering 
Enum Word 

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 
Enum Word16 
Enum Word32 
Enum Word64 
Enum () 

Methods

succ :: () -> () #

pred :: () -> () #

toEnum :: Int -> () #

fromEnum :: () -> Int #

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

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

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

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

Enum Associativity 
Enum SourceUnpackedness 
Enum SourceStrictness 
Enum DecidedStrictness 
Enum Extension 
Enum GenTextMethods 
Integral a => Enum (Ratio a) 

Methods

succ :: Ratio a -> Ratio a #

pred :: Ratio a -> Ratio a #

toEnum :: Int -> Ratio a #

fromEnum :: Ratio a -> Int #

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

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

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

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

Enum a => Enum (Identity a) 
Enum a => Enum (Min a) 

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) 

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) 

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) 

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) 
Enum (Proxy k s) 

Methods

succ :: Proxy k s -> Proxy k s #

pred :: Proxy k s -> Proxy k s #

toEnum :: Int -> Proxy k s #

fromEnum :: Proxy k s -> Int #

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

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

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

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

Enum a => Enum (Const k a b) 

Methods

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

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

toEnum :: Int -> Const k a b #

fromEnum :: Const k a b -> Int #

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

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

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

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

Enum (f a) => Enum (Alt k f a) 

Methods

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

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

toEnum :: Int -> Alt k f a #

fromEnum :: Alt k f a -> Int #

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

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

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

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

(~) k a b => Enum ((:~:) k a b) 

Methods

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

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

toEnum :: Int -> (k :~: a) b #

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

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

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

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

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

Enum a => Enum (Tagged k s a) 

Methods

succ :: Tagged k s a -> Tagged k s a #

pred :: Tagged k s a -> Tagged k s a #

toEnum :: Int -> Tagged k s a #

fromEnum :: Tagged k s a -> Int #

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

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

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

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

succ :: Enum a => a -> a #

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

pred :: Enum a => a -> a #

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

toEnum :: Enum a => Int -> a #

Convert from an Int.

fromEnum :: Enum a => 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 :: Enum a => a -> [a] #

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

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

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

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

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

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

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

Bounded class

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 
Bounded Char 
Bounded Int 

Methods

minBound :: Int #

maxBound :: Int #

Bounded Int8 
Bounded Int16 
Bounded Int32 
Bounded Int64 
Bounded Ordering 
Bounded Word 
Bounded Word8 
Bounded Word16 
Bounded Word32 
Bounded Word64 
Bounded () 

Methods

minBound :: () #

maxBound :: () #

Bounded All 

Methods

minBound :: All #

maxBound :: All #

Bounded Any 

Methods

minBound :: Any #

maxBound :: Any #

Bounded Associativity 
Bounded SourceUnpackedness 
Bounded SourceStrictness 
Bounded DecidedStrictness 
Bounded GenTextMethods 
Bounded a => Bounded (Identity a) 
Bounded a => Bounded (Min a) 

Methods

minBound :: Min a #

maxBound :: Min a #

Bounded a => Bounded (Max a) 

Methods

minBound :: Max a #

maxBound :: Max a #

Bounded a => Bounded (First a) 

Methods

minBound :: First a #

maxBound :: First a #

Bounded a => Bounded (Last a) 

Methods

minBound :: Last a #

maxBound :: Last a #

Bounded a => Bounded (WrappedMonoid a) 
Bounded a => Bounded (Dual a) 

Methods

minBound :: Dual a #

maxBound :: Dual a #

Bounded a => Bounded (Sum a) 

Methods

minBound :: Sum a #

maxBound :: Sum a #

Bounded a => Bounded (Product a) 
Bounded a => Bounded (Product a) # 
Bounded a => Bounded (Sum a) # 

Methods

minBound :: Sum a #

maxBound :: Sum a #

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

Methods

minBound :: (a, b) #

maxBound :: (a, b) #

Bounded (Proxy k s) 

Methods

minBound :: Proxy k s #

maxBound :: Proxy k s #

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

Methods

minBound :: (a, b, c) #

maxBound :: (a, b, c) #

Bounded a => Bounded (Const k a b) 

Methods

minBound :: Const k a b #

maxBound :: Const k a b #

(~) k a b => Bounded ((:~:) k a b) 

Methods

minBound :: (k :~: a) b #

maxBound :: (k :~: a) b #

Bounded b => Bounded (Tagged k s b) 

Methods

minBound :: Tagged k s b #

maxBound :: Tagged k s b #

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

Methods

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

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

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

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) 

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) 

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) 

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) 

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) 

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) 

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) 

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) 

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) 

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) 

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) #