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 | | | The list of values in the subrange defined by a bounding pair.
| | | | The position of a subscript in the subrange.
| | | | Returns True the given subscript lies in the range defined
the bounding pair.
| | | | The size of the subrange defined by a bounding pair.
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| |  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) |
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