| Copyright | (c) The University of Glasgow 2001 |
|---|---|
| License | BSD-style (see the file libraries/base/LICENSE) |
| Maintainer | libraries@haskell.org |
| Stability | stable |
| Portability | portable |
| Safe Haskell | Trustworthy |
| Language | Haskell2010 |
Data.Ix
Description
The Ix class
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:
Methods
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 Word | |
| Ix Word8 | |
| Ix Word16 | |
| Ix Word32 | |
| Ix Word64 | |
| Ix () | |
| Ix GeneralCategory | |
| Ix SeekMode | |
| Ix IOMode | |
| Ix Natural | |
| Ix Void | |
| (Ix a, Ix b) => Ix (a, b) | |
| Ix (Proxy k s) | |
| (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) |
Deriving Instances of Ix
Derived instance declarations for the class Ix are only possible
for enumerations (i.e. datatypes having only nullary constructors)
and single-constructor datatypes, including arbitrarily large tuples,
whose constituent types are instances of Ix.
- For an enumeration, the nullary constructors are assumed to be
numbered left-to-right with the indices being 0 to n-1 inclusive. This
is the same numbering defined by the
Enumclass. For example, given the datatype:
data Colour = Red | Orange | Yellow | Green | Blue | Indigo | Violet
we would have:
range (Yellow,Blue) == [Yellow,Green,Blue]
index (Yellow,Blue) Green == 1
inRange (Yellow,Blue) Red == False- For single-constructor datatypes, the derived instance declarations are as shown for tuples in chapter 19, section 2 of the Haskell 2010 report: https://www.haskell.org/onlinereport/haskell2010/haskellch19.html.