Documentation

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:

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 instance: range, index and 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
Ix Char
Ix Int
Ix Integer
Ix Ordering
Ix ()
Ix GeneralCategory
Ix SeekMode
Ix IOMode
Ix Month
Ix Day
(Ix a, Ix b) => Ix (a, b)
(Ix a1, Ix a2, Ix a3) => Ix (a1, a2, a3)
(Ix a1, Ix a2, Ix a3, Ix a4) => Ix (a1, a2, a3, a4)
(Ix a1, Ix a2, Ix a3, Ix a4, Ix a5) => Ix (a1, a2, a3, a4, a5)

rangeSize :: Ix a => (a, a) -> Int

The size of the subrange defined by a bounding pair.