Data.Ix

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))