base-4.12.0.0: Basic libraries

Copyright(c) The University of Glasgow 2001
LicenseBSD-style (see the file libraries/base/LICENSE)
Maintainerlibraries@haskell.org
Stabilitystable
Portabilityportable
Safe HaskellTrustworthy
LanguageHaskell2010

Data.Ix

Contents

Description

The Ix class is used to map a contiguous subrange of values in type onto integers. It is used primarily for array indexing (see the array package). Ix uses row-major order.

Synopsis

The Ix class

class Ord a => Ix a where #

The Ix class is used to map a contiguous subrange of values in a type onto integers. It is used primarily for array indexing (see the array package).

The first argument (l,u) of each of these operations is a pair specifying the lower and upper bounds of a contiguous subrange of values.

An implementation is entitled to assume the following laws about these operations:

Minimal complete definition

range, (index | unsafeIndex), inRange

Methods

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

The list of values in the subrange defined by a bounding pair.

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

The position of a subscript in the subrange.

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

Returns True the given subscript lies in the range defined the bounding pair.

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

The size of the subrange defined by a bounding pair.

Instances
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

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

Ix Int #

Since: base-2.1

Instance details

Defined in GHC.Arr

Methods

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

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

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

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

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

unsafeRangeSize :: (Int, Int) -> Int

Ix Int8 #

Since: base-2.1

Instance details

Defined in GHC.Int

Methods

range :: (Int8, Int8) -> [Int8] #

index :: (Int8, Int8) -> Int8 -> Int #

unsafeIndex :: (Int8, Int8) -> Int8 -> Int

inRange :: (Int8, Int8) -> Int8 -> Bool #

rangeSize :: (Int8, Int8) -> Int #

unsafeRangeSize :: (Int8, Int8) -> Int

Ix Int16 #

Since: base-2.1

Instance details

Defined in GHC.Int

Ix Int32 #

Since: base-2.1

Instance details

Defined in GHC.Int

Ix Int64 #

Since: base-2.1

Instance details

Defined in GHC.Int

Ix Integer #

Since: base-2.1

Instance details

Defined in GHC.Arr

Ix Natural #

Since: base-4.8.0.0

Instance details

Defined in GHC.Arr

Ix Ordering #

Since: base-2.1

Instance details

Defined in GHC.Arr

Ix Word #

Since: base-4.6.0.0

Instance details

Defined in GHC.Arr

Methods

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

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

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

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

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

unsafeRangeSize :: (Word, Word) -> Int

Ix Word8 #

Since: base-2.1

Instance details

Defined in GHC.Word

Ix Word16 #

Since: base-2.1

Instance details

Defined in GHC.Word

Ix Word32 #

Since: base-2.1

Instance details

Defined in GHC.Word

Ix Word64 #

Since: base-2.1

Instance details

Defined in GHC.Word

Ix () #

Since: base-2.1

Instance details

Defined in GHC.Arr

Methods

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

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

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

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

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

unsafeRangeSize :: ((), ()) -> Int

Ix GeneralCategory #

Since: base-2.1

Instance details

Defined in GHC.Unicode

Ix IOMode #

Since: base-4.2.0.0

Instance details

Defined in GHC.IO.IOMode

Ix DecidedStrictness #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Ix SourceStrictness #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Ix SourceUnpackedness #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Ix Associativity #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Ix SeekMode #

Since: base-4.2.0.0

Instance details

Defined in GHC.IO.Device

Ix Void #

Since: base-4.8.0.0

Instance details

Defined in Data.Void

Methods

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

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

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

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

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

unsafeRangeSize :: (Void, Void) -> Int

Ix a => Ix (Identity a) #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Identity

(Ix a, Ix b) => Ix (a, b) #

Since: base-2.1

Instance details

Defined in GHC.Arr

Methods

range :: ((a, b), (a, b)) -> [(a, b)] #

index :: ((a, b), (a, b)) -> (a, b) -> Int #

unsafeIndex :: ((a, b), (a, b)) -> (a, b) -> Int

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

rangeSize :: ((a, b), (a, b)) -> Int #

unsafeRangeSize :: ((a, b), (a, b)) -> Int

Ix (Proxy s) #

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

range :: (Proxy s, Proxy s) -> [Proxy s] #

index :: (Proxy s, Proxy s) -> Proxy s -> Int #

unsafeIndex :: (Proxy s, Proxy s) -> Proxy s -> Int

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

rangeSize :: (Proxy s, Proxy s) -> Int #

unsafeRangeSize :: (Proxy s, Proxy s) -> Int

(Ix a1, Ix a2, Ix a3) => Ix (a1, a2, a3) #

Since: base-2.1

Instance details

Defined in GHC.Arr

Methods

range :: ((a1, a2, a3), (a1, a2, a3)) -> [(a1, a2, a3)] #

index :: ((a1, a2, a3), (a1, a2, a3)) -> (a1, a2, a3) -> Int #

unsafeIndex :: ((a1, a2, a3), (a1, a2, a3)) -> (a1, a2, a3) -> Int

inRange :: ((a1, a2, a3), (a1, a2, a3)) -> (a1, a2, a3) -> Bool #

rangeSize :: ((a1, a2, a3), (a1, a2, a3)) -> Int #

unsafeRangeSize :: ((a1, a2, a3), (a1, a2, a3)) -> Int

Ix a => Ix (Const a b) #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Methods

range :: (Const a b, Const a b) -> [Const a b] #

index :: (Const a b, Const a b) -> Const a b -> Int #

unsafeIndex :: (Const a b, Const a b) -> Const a b -> Int

inRange :: (Const a b, Const a b) -> Const a b -> Bool #

rangeSize :: (Const a b, Const a b) -> Int #

unsafeRangeSize :: (Const a b, Const a b) -> Int

(Ix a1, Ix a2, Ix a3, Ix a4) => Ix (a1, a2, a3, a4) #

Since: base-2.1

Instance details

Defined in GHC.Arr

Methods

range :: ((a1, a2, a3, a4), (a1, a2, a3, a4)) -> [(a1, a2, a3, a4)] #

index :: ((a1, a2, a3, a4), (a1, a2, a3, a4)) -> (a1, a2, a3, a4) -> Int #

unsafeIndex :: ((a1, a2, a3, a4), (a1, a2, a3, a4)) -> (a1, a2, a3, a4) -> Int

inRange :: ((a1, a2, a3, a4), (a1, a2, a3, a4)) -> (a1, a2, a3, a4) -> Bool #

rangeSize :: ((a1, a2, a3, a4), (a1, a2, a3, a4)) -> Int #

unsafeRangeSize :: ((a1, a2, a3, a4), (a1, a2, a3, a4)) -> Int

(Ix a1, Ix a2, Ix a3, Ix a4, Ix a5) => Ix (a1, a2, a3, a4, a5) #

Since: base-2.1

Instance details

Defined in GHC.Arr

Methods

range :: ((a1, a2, a3, a4, a5), (a1, a2, a3, a4, a5)) -> [(a1, a2, a3, a4, a5)] #

index :: ((a1, a2, a3, a4, a5), (a1, a2, a3, a4, a5)) -> (a1, a2, a3, a4, a5) -> Int #

unsafeIndex :: ((a1, a2, a3, a4, a5), (a1, a2, a3, a4, a5)) -> (a1, a2, a3, a4, a5) -> Int

inRange :: ((a1, a2, a3, a4, a5), (a1, a2, a3, a4, a5)) -> (a1, a2, a3, a4, a5) -> Bool #

rangeSize :: ((a1, a2, a3, a4, a5), (a1, a2, a3, a4, a5)) -> Int #

unsafeRangeSize :: ((a1, a2, a3, a4, a5), (a1, a2, a3, a4, a5)) -> Int

Deriving Instances of Ix

Derived instance declarations for the class Ix are only possible for enumerations (i.e. datatypes having only nullary constructors) and single-constructor datatypes, including arbitrarily large tuples, whose constituent types are instances of Ix.

  • For an enumeration, the nullary constructors are assumed to be numbered left-to-right with the indices being 0 to n-1 inclusive. This is the same numbering defined by the Enum class. For example, given the datatype:
       data Colour = Red | Orange | Yellow | Green | Blue | Indigo | Violet

we would have:

       range   (Yellow,Blue)        ==  [Yellow,Green,Blue]
       index   (Yellow,Blue) Green  ==  1
       inRange (Yellow,Blue) Red    ==  False