base-4.14.1.0: Basic libraries
Copyright(c) The University of Glasgow 1994-2000
Licensesee libraries/base/LICENSE
Maintainercvs-ghc@haskell.org
Stabilityinternal
Portabilitynon-portable (GHC extensions)
Safe HaskellNone
LanguageHaskell2010

GHC.Ix

Description

GHC's Ix typeclass implementation.

Synopsis

Documentation

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:

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 #