The Standard ML Basis Library


The ArraySlice structure


Synopsis

signature ARRAY_SLICE
structure ArraySlice :> ARRAY_SLICE

The ArraySlice structure provides an abstraction of subarrays for polymorphic arrays. A slice value can be viewed as a triple (a, i, n), where a is the underlying array, i is the starting index, and n is the length of the subarray, with the constraint that 0 <= i <= i + n <= |a|. Slices provide a convenient notation for specifying and operating on a contiguous subset of elements in an array.


Interface

type 'a slice
val length : 'a slice -> int
val sub : 'a slice * int -> 'a
val update : 'a slice * int * 'a -> unit
val full : 'a Array.array -> 'a slice
val slice : 'a Array.array * int * int option -> 'a slice
val subslice : 'a slice * int * int option -> 'a slice
val base : 'a slice -> 'a Array.array * int * int
val vector : 'a slice -> 'a Vector.vector
val copy    : {
                  src : 'a slice,
                  dst : 'a Array.array,
                  di : int
                } -> unit
val copyVec : {
                  src : 'a VectorSlice.slice,
                  dst : 'a Array.array,
                  di : int
                } -> unit
val isEmpty : 'a slice -> bool
val getItem : 'a slice -> ('a * 'a slice) option
val appi : (int * 'a -> unit) -> 'a slice -> unit
val app  : ('a -> unit) -> 'a slice -> unit
val modifyi : (int * 'a -> 'a-> 'a slice -> unit
val modify  : ('a -> 'a-> 'a slice -> unit
val foldli : (int * 'a * 'b -> 'b-> 'b -> 'a slice -> 'b
val foldri : (int * 'a * 'b -> 'b-> 'b -> 'a slice -> 'b
val foldl  : ('a * 'b -> 'b-> 'b -> 'a slice -> 'b
val foldr  : ('a * 'b -> 'b-> 'b -> 'a slice -> 'b
val findi : (int * 'a -> bool)
              -> 'a slice -> (int * 'a) option
val find  : ('a -> bool) -> 'a slice -> 'a option
val exists : ('a -> bool) -> 'a slice -> bool
val all : ('a -> bool) -> 'a slice -> bool
val collate : ('a * 'a -> order)
                -> 'a slice * 'a slice -> order

Description

length sl
returns |sl|, the length (i.e., number of elements) of the slice. This is equivalent to #3 (base sl).

sub (sl, i)
returns the i(th) element of the slice sl. If i < 0 or |sl| <= i, then the Subscript exception is raised.

update (sl, i, a)
sets the i(th) element of the slice sl to a. If i < 0 or |sl| <= i, then the Subscript exception is raised.

full arr
creates a slice representing the entire array arr. It is equivalent to
slice(arr, 0, NONE)


slice (arr, i, sz)
creates a slice based on the array arr starting at index i of the array. If sz is NONE, the slice includes all of the elements to the end of the array, i.e., arr[i..|arr|-1]. This raises Subscript if i < 0 or |arr| < i. If sz is SOME(j), the slice has length j, that is, it corresponds to arr[i..i+j-1]. It raises Subscript if i < 0 or j < 0 or |arr| < i + j. Note that, if defined, slice returns an empty slice when i = |arr|.

subslice (sl, i, sz)
creates a slice based on the given slice sl starting at index i of sl. If sz is NONE, the slice includes all of the elements to the end of the slice, i.e., sl[i..|sl|-1]. This raises Subscript if i < 0 or |sl| < i. If sz is SOME(j), the slice has length j, that is, it corresponds to sl[i..i+j-1]. It raises Subscript if i < 0 or j < 0 or |sl| < i + j. Note that, if defined, subslice returns an empty slice when i = |sl|.

base sl
returns a triple (arr, i, n) representing the concrete representation of the slice. arr is the underlying array, i is the starting index, and n is the length of the slice.

vector sl
generates a vector from the slice sl. Specifically, the result is equivalent to
          Vector.tabulate (length sl, fn i => sub (sl, i))
          


copy {src, dst, di}
copyVec {src, dst, di}
These functions copy the given slice into the array dst, with the i(th) element of src, for 0 <= i < |src|, being copied to position di + i in the destination array. If di < 0 or if |dst| < di+|src|, then the Subscript exception is raised.
Implementation note:

The copy function must correctly handle the case in which dst and the base array of src are equal, and the source and destination slices overlap.



isEmpty sl
returns true if sl has length 0.

getItem sl
returns the first item in sl and the rest of the slice, or NONE if sl is empty.

appi f sl
app f sl
These functions apply the function f to the elements of a slice in order of increasing indices. The more general appi function supplies f with the index of the corresponding element in the slice. The expression app f sl is equivalent to appi (f o #2) sl.

modifyi f sl
modify f sl
These functions apply the function f to the elements of a slice in order of increasing indices, and replace each element with the result. The more general modifyi supplies f with the index of the corresponding element in the slice. The expression modify f sl is equivalent to modifyi (f o #2) sl.

foldli f init sl
foldri f init sl
foldl f init sl
foldr f init sl
These functions fold the function f over the elements of a slice, using the value init as the initial value. The functions foldli and foldl apply the function f from left to right (increasing indices), while the functions foldri and foldr work from right to left (decreasing indices). The more general functions foldli and foldri supply f with the index of the corresponding element in the slice.

Refer to the MONO_ARRAY manual pages for reference implementations of the indexed versions.

The expression foldl f init sl is equivalent to:

foldli (fn (_, a, x) => f(a, x)) init sl
The analogous equivalence holds for foldri and foldr.

findi f sl
find f sl
These functions apply f to each element of the slice sl, in order of increasing indices, until a true value is returned. If this occurs, the functions return the element; otherwise, they return NONE. The more general version findi also supplies f with the index of the element in the slice and, upon finding an entry satisfying the predicate, returns that index with the element.

exists f sl
applies f to each element x of the slice sl, in order of increasing indices, until f x evaluates to true; it returns true if such an x exists and false otherwise.

all f sl
applies f to each element x of the slice sl, from left to right (i.e., increasing indices), until f x evaluates to false; it returns false if such an x exists and true otherwise. It is equivalent to not(exists (not o f) l)).

collate f (sl, sl2)
performs lexicographic comparison of the two slices using the given ordering f on elements.

See Also

Array, MONO_ARRAY_SLICE, Vector, VectorSlice

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Generated October 02, 2003
Last Modified June 20, 2000
Comments to John Reppy.


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