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GHC.Ix

Copyright (c) The University of Glasgow 1994-2000
License see libraries/base/LICENSE
Maintainer cvs-ghc@haskell.org
Stability internal
Portability non-portable (GHC extensions)
Safe Haskell None
Language Haskell2010

Description

GHC's Ix typeclass implementation.

class Ord a => Ix a where Source

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:

  • inRange (l,u) i == elem i (range (l,u))
  • range (l,u) !! index (l,u) i == i, when inRange (l,u) i
  • map (index (l,u)) (range (l,u))) == [0..rangeSize (l,u)-1]
  • rangeSize (l,u) == length (range (l,u))

Minimal complete definition

range, (index | unsafeIndex), inRange

Methods

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

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

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

The position of a subscript in the subrange.

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

Like index, but without checking that the value is in range.

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

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

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

The size of the subrange defined by a bounding pair.

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

like rangeSize, but without checking that the upper bound is in range.

Instances
Instances details
Ix Bool

Since: base-2.1
Instance details

Defined in GHC.Ix

Methods

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

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

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

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

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

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

Ix Char

Since: base-2.1
Instance details

Defined in GHC.Ix

Methods

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

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

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

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

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

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

Ix Int

Since: base-2.1
Instance details

Defined in GHC.Ix

Methods

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

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

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

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

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

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

Ix Int8

Since: base-2.1
Instance details

Defined in GHC.Int

Methods

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

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

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

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

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

unsafeRangeSize :: (Int8, Int8) -> Int Source

Ix Int16

Since: base-2.1
Instance details

Defined in GHC.Int

Methods

range :: (Int16, Int16) -> [Int16] Source

index :: (Int16, Int16) -> Int16 -> Int Source

unsafeIndex :: (Int16, Int16) -> Int16 -> Int Source

inRange :: (Int16, Int16) -> Int16 -> Bool Source

rangeSize :: (Int16, Int16) -> Int Source

unsafeRangeSize :: (Int16, Int16) -> Int Source

Ix Int32

Since: base-2.1
Instance details

Defined in GHC.Int

Methods

range :: (Int32, Int32) -> [Int32] Source

index :: (Int32, Int32) -> Int32 -> Int Source

unsafeIndex :: (Int32, Int32) -> Int32 -> Int Source

inRange :: (Int32, Int32) -> Int32 -> Bool Source

rangeSize :: (Int32, Int32) -> Int Source

unsafeRangeSize :: (Int32, Int32) -> Int Source

Ix Int64

Since: base-2.1
Instance details

Defined in GHC.Int

Methods

range :: (Int64, Int64) -> [Int64] Source

index :: (Int64, Int64) -> Int64 -> Int Source

unsafeIndex :: (Int64, Int64) -> Int64 -> Int Source

inRange :: (Int64, Int64) -> Int64 -> Bool Source

rangeSize :: (Int64, Int64) -> Int Source

unsafeRangeSize :: (Int64, Int64) -> Int Source

Ix Integer

Since: base-2.1
Instance details

Defined in GHC.Ix

Methods

range :: (Integer, Integer) -> [Integer] Source

index :: (Integer, Integer) -> Integer -> Int Source

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

inRange :: (Integer, Integer) -> Integer -> Bool Source

rangeSize :: (Integer, Integer) -> Int Source

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

Ix Natural

Since: base-4.8.0.0
Instance details

Defined in GHC.Ix

Methods

range :: (Natural, Natural) -> [Natural] Source

index :: (Natural, Natural) -> Natural -> Int Source

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

inRange :: (Natural, Natural) -> Natural -> Bool Source

rangeSize :: (Natural, Natural) -> Int Source

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

Ix Ordering

Since: base-2.1
Instance details

Defined in GHC.Ix

Methods

range :: (Ordering, Ordering) -> [Ordering] Source

index :: (Ordering, Ordering) -> Ordering -> Int Source

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

inRange :: (Ordering, Ordering) -> Ordering -> Bool Source

rangeSize :: (Ordering, Ordering) -> Int Source

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

Ix Word

Since: base-4.6.0.0
Instance details

Defined in GHC.Ix

Methods

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

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

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

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

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

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

Ix Word8

Since: base-2.1
Instance details

Defined in GHC.Word

Methods

range :: (Word8, Word8) -> [Word8] Source

index :: (Word8, Word8) -> Word8 -> Int Source

unsafeIndex :: (Word8, Word8) -> Word8 -> Int Source

inRange :: (Word8, Word8) -> Word8 -> Bool Source

rangeSize :: (Word8, Word8) -> Int Source

unsafeRangeSize :: (Word8, Word8) -> Int Source

Ix Word16

Since: base-2.1
Instance details

Defined in GHC.Word

Methods

range :: (Word16, Word16) -> [Word16] Source

index :: (Word16, Word16) -> Word16 -> Int Source

unsafeIndex :: (Word16, Word16) -> Word16 -> Int Source

inRange :: (Word16, Word16) -> Word16 -> Bool Source

rangeSize :: (Word16, Word16) -> Int Source

unsafeRangeSize :: (Word16, Word16) -> Int Source

Ix Word32

Since: base-2.1
Instance details

Defined in GHC.Word

Methods

range :: (Word32, Word32) -> [Word32] Source

index :: (Word32, Word32) -> Word32 -> Int Source

unsafeIndex :: (Word32, Word32) -> Word32 -> Int Source

inRange :: (Word32, Word32) -> Word32 -> Bool Source

rangeSize :: (Word32, Word32) -> Int Source

unsafeRangeSize :: (Word32, Word32) -> Int Source

Ix Word64

Since: base-2.1
Instance details

Defined in GHC.Word

Methods

range :: (Word64, Word64) -> [Word64] Source

index :: (Word64, Word64) -> Word64 -> Int Source

unsafeIndex :: (Word64, Word64) -> Word64 -> Int Source

inRange :: (Word64, Word64) -> Word64 -> Bool Source

rangeSize :: (Word64, Word64) -> Int Source

unsafeRangeSize :: (Word64, Word64) -> Int Source

Ix ()

Since: base-2.1
Instance details

Defined in GHC.Ix

Methods

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

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

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

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

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

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

Ix GeneralCategory

Since: base-2.1
Instance details

Defined in GHC.Unicode

Methods

range :: (GeneralCategory, GeneralCategory) -> [GeneralCategory] Source

index :: (GeneralCategory, GeneralCategory) -> GeneralCategory -> Int Source

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

inRange :: (GeneralCategory, GeneralCategory) -> GeneralCategory -> Bool Source

rangeSize :: (GeneralCategory, GeneralCategory) -> Int Source

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

Ix IOMode

Since: base-4.2.0.0
Instance details

Defined in GHC.IO.IOMode

Methods

range :: (IOMode, IOMode) -> [IOMode] Source

index :: (IOMode, IOMode) -> IOMode -> Int Source

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

inRange :: (IOMode, IOMode) -> IOMode -> Bool Source

rangeSize :: (IOMode, IOMode) -> Int Source

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

Ix DecidedStrictness

Since: base-4.9.0.0
Instance details

Defined in GHC.Generics

Methods

range :: (DecidedStrictness, DecidedStrictness) -> [DecidedStrictness] Source

index :: (DecidedStrictness, DecidedStrictness) -> DecidedStrictness -> Int Source

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

inRange :: (DecidedStrictness, DecidedStrictness) -> DecidedStrictness -> Bool Source

rangeSize :: (DecidedStrictness, DecidedStrictness) -> Int Source

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

Ix SourceStrictness

Since: base-4.9.0.0
Instance details

Defined in GHC.Generics

Methods

range :: (SourceStrictness, SourceStrictness) -> [SourceStrictness] Source

index :: (SourceStrictness, SourceStrictness) -> SourceStrictness -> Int Source

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

inRange :: (SourceStrictness, SourceStrictness) -> SourceStrictness -> Bool Source

rangeSize :: (SourceStrictness, SourceStrictness) -> Int Source

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

Ix SourceUnpackedness

Since: base-4.9.0.0
Instance details

Defined in GHC.Generics

Methods

range :: (SourceUnpackedness, SourceUnpackedness) -> [SourceUnpackedness] Source

index :: (SourceUnpackedness, SourceUnpackedness) -> SourceUnpackedness -> Int Source

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

inRange :: (SourceUnpackedness, SourceUnpackedness) -> SourceUnpackedness -> Bool Source

rangeSize :: (SourceUnpackedness, SourceUnpackedness) -> Int Source

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

Ix Associativity

Since: base-4.9.0.0
Instance details

Defined in GHC.Generics

Methods

range :: (Associativity, Associativity) -> [Associativity] Source

index :: (Associativity, Associativity) -> Associativity -> Int Source

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

inRange :: (Associativity, Associativity) -> Associativity -> Bool Source

rangeSize :: (Associativity, Associativity) -> Int Source

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

Ix SeekMode

Since: base-4.2.0.0
Instance details

Defined in GHC.IO.Device

Methods

range :: (SeekMode, SeekMode) -> [SeekMode] Source

index :: (SeekMode, SeekMode) -> SeekMode -> Int Source

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

inRange :: (SeekMode, SeekMode) -> SeekMode -> Bool Source

rangeSize :: (SeekMode, SeekMode) -> Int Source

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

Ix Void

Since: base-4.8.0.0
Instance details

Defined in Data.Void

Methods

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

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

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

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

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

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

Ix a => Ix (Down a)

Since: base-4.14.0.0
Instance details

Defined in Data.Ord

Methods

range :: (Down a, Down a) -> [Down a] Source

index :: (Down a, Down a) -> Down a -> Int Source

unsafeIndex :: (Down a, Down a) -> Down a -> Int Source

inRange :: (Down a, Down a) -> Down a -> Bool Source

rangeSize :: (Down a, Down a) -> Int Source

unsafeRangeSize :: (Down a, Down a) -> Int Source

Ix a => Ix (Identity a)

Since: base-4.9.0.0
Instance details

Defined in Data.Functor.Identity

Methods

range :: (Identity a, Identity a) -> [Identity a] Source

index :: (Identity a, Identity a) -> Identity a -> Int Source

unsafeIndex :: (Identity a, Identity a) -> Identity a -> Int Source

inRange :: (Identity a, Identity a) -> Identity a -> Bool Source

rangeSize :: (Identity a, Identity a) -> Int Source

unsafeRangeSize :: (Identity a, Identity a) -> Int Source

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

Since: base-2.1
Instance details

Defined in GHC.Ix

Methods

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

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

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

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

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

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

Ix (Proxy s)

Since: base-4.7.0.0
Instance details

Defined in Data.Proxy

Methods

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

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

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

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

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

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

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

Since: base-2.1
Instance details

Defined in GHC.Ix

Methods

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

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

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

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

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

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

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] Source

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

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

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

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

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

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

Since: base-2.1
Instance details

Defined in GHC.Ix

Methods

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

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

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

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

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

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

(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.Ix

Methods

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

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

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

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

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

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

© The University of Glasgow and others
Licensed under a BSD-style license (see top of the page).
https://downloads.haskell.org/~ghc/8.10.2/docs/html/libraries/base-4.14.1.0/GHC-Ix.html

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