Constructs an immutable array from a pair of bounds and a list of
initial associations.
The bounds are specified as a pair of the lowest and highest bounds in
the array respectively. For example, a one-origin vector of length 10
has bounds (1,10), and a one-origin 10 by 10 matrix has bounds
((1,1),(10,10)).
An association is a pair of the form
(i,x), which defines the
value of the array at index
i to be
x. The array is
undefined if any index in the list is out of bounds. If any two
associations in the list have the same index, the value at that index
is implementation-dependent. (In GHC, the last value specified for
that index is used. Other implementations will also do this for
unboxed arrays, but Haskell 98 requires that for
Array the
value at such indices is bottom.)
Because the indices must be checked for these errors,
array is
strict in the bounds argument and in the indices of the association
list. Whether
array is strict or non-strict in the elements
depends on the array type:
Array is a non-strict array type,
but all of the
UArray arrays are strict. Thus in a non-strict
array, recurrences such as the following are possible:
a = array (1,100) ((1,1) : [(i, i * a!(i-1)) | i \<- [2..100]])
Not every index within the bounds of the array need appear in the
association list, but the values associated with indices that do not
appear will be undefined.
If, in any dimension, the lower bound is greater than the upper bound,
then the array is legal, but empty. Indexing an empty array always
gives an array-bounds error, but
bounds still yields the bounds
with which the array was constructed.