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+---
+layout: main
+title: API
+---
+
+# Array list library #
+
+A simple [dynamic array][1] implementation, designed to be used to support
+various other structures.
+
+## Description ##
+
+The scale factor for this implementation is 2, which is used by several other
+languages' standard library implementation of dynamic arrays. The backing
+structure is a Scheme vector, with a minimum size of 16 to avoid early resizing
+on small structures.
+
+## Definitions ##
+
+When describing a procedure's arguments, ``array-list`` denotes an array list
+argument.
+
+## Limitations ##
+
+Currently does not contain a full set of operations - more will be added if
+needed or requested.
+
+## Contents ##
+
+- [`array-list`](#array-list)
+- [`array-list?`](#array-list1)
+- [`array-list-delete!`](#array-list-delete)
+- [`array-list-empty?`](#array-list-empty) 
+- [`array-list-insert!`](#array-list-insert)
+- [`array-list-length`](#array-list-length)
+- [`array-list-ref`](#array-list-ref)
+- [`array-list-set!`](#array-list-set)
+- [`make-array-list`](#make-array-list)
+
+## Constructors ##
+
+### array-list ###
+
+```(array-list obj ...)```
+
+Creates a new array list containing all of ``obj``, in that order.
+
+**Time complexity:** *O(n)* (amortized), where *n* is ``(length obj)``.
+
+**Space complexity:** *O(n)* (worst-case), where *n* is ``(length obj)``
+
+### make-array-list ###
+
+```(make-array-list k)```
+
+Creates a new empty array list with a capacity of ``(max 16 k)`` elements.
+
+**Time complexity:** *O(n)* (worst-case), where *n* is ``k``.
+
+**Space complexity:** *O(n)* (worst-case), where *n* is ``k``.
+
+## Predicates ##
+
+### array-list? ###
+
+```(array-list? obj)```
+
+Returns ``#t`` if ``obj`` is an array list, and ``#f`` otherwise.
+
+**Time complexity:** *O(1)* (worst-case)
+
+**Space complexity:** *O(1)* (worst-case)
+
+```(array-list-empty? array-list)```
+
+Returns ``#t`` if ``array-list`` contains no items, and ``#f`` otherwise.
+
+**Time complexity:** *O(1)* (worst-case)
+
+**Space complexity:** *O(1)* (worst-case)
+
+## Accessors ##
+
+### array-list-length ###
+
+```(array-list-length array-list)```
+
+Returns the number of items stored in ``array-list``.
+
+**Time complexity:** *O(1)* (worst-case)
+
+**Space complexity:** *O(1)* (worst-case)
+
+### array-list-ref ###
+
+```(array-list-ref array-list k)```
+
+Returns the ``k``th element of ``array-list`` (zero-indexed). It is an error if
+``k`` is greater than, or equal to, ``(array-list-length array-list)``.
+
+**Time complexity:** *O(1)* (worst-case)
+
+**Space complexity:** *O(1)* (worst-case)
+
+## Mutators ##
+
+### array-list-delete! ###
+
+```(array-list-delete! array-list)```
+```(array-list-delete! array-list k)```
+
+Deletes the element at position ``k`` in ``array-list`` (zero-indexed). If ``k``
+is not provided, deletes the last element of ``array-list`` instead. Elements at
+positions after ``k`` are 'slid over' to fill the 'gap' left by deleting the
+element. It is an error if ``k`` is greater than, or equal to 
+``(array-list-length array-list)``.
+
+**Time complexity:** *O(n)* (worst-case), *O(1)* (amortized, when deleting last
+element)
+
+**Space complexity:** *O(n)* (worst-case), *O(1)* (amortized)
+
+### array-list-insert! ###
+
+```(array-list-insert! array-list obj)```
+```(array-list-insert! array-list k obj)```
+
+Inserts ``obj`` at position ``k`` in ``array-list`` (zero-indexed). If ``k`` is
+not provided, inserts ``obj`` at the end of ``array-list``. Elements are `slid
+over` away from the ``k``th position to create a 'gap' for ``obj`` if necessary.
+It is an error if ``k`` is greater than ``(array-list-length array-list)``.
+
+**Time complexity:** *O(n)* (worst-case), *O(1)* (amortized, when inserting at
+the end)
+
+**Space complexity:** *O(n)* (worst-case), *O(1)* (amortized)
+
+### array-list-set! ###
+
+```(array-list-set! array-list k obj)```
+
+Replaces the element at position ``k`` in ``array-list`` with ``obj``
+(zero-indexed). It is an error if ``k`` is greater than, or equal to,
+``(array-list-length array-list)``.
+
+**Time complexity:** *O(1)* (worst-case)
+
+**Space complexity:** *O(1)* (worst-case)
+
+[1]: https://en.wikipedia.org/wiki/Dynamic_array