Documentation

class Ord a => Ix a whereSource

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]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.

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.

Instances

Ix Bool
Ix Char
Ix Int
Ix Int8
Ix Int16
Ix Int32
Ix Int64
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 Source

The size of the subrange defined by a bounding pair.