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The abstract list type L with elements of some type E (a monomorphic list) is defined by the following functions: nil: → L cons: E × L → L first: L → E rest: L → L. with the axioms first (cons (e, l)) = e rest (cons (e, l)) = l. for any element e and any list l. It is implicit that cons (e, l) ≠ l cons (e, l) ≠ e
Several values are inserted at the end of a dynamic array using geometric expansion. Grey cells indicate space reserved for expansion. Most insertions are fast (constant time), while some are slow due to the need for reallocation (Θ(n) time, labelled with turtles).
function insertAfter(Node node, Node newNode) if node = null // assume list is empty newNode.next := newNode else newNode.next := node.next node.next := newNode update lastNode variable if necessary Suppose that "L" is a variable pointing to the last node of a circular linked list (or null if the list is empty).
If control exits the function without a return value having been explicitly specified, the function returns the default value for the return type. Sub Main(««ByVal »args() As String») instructions End Subor Function Main(««ByVal »args() As String») As Integer instructions End Function: Xojo: Python: foo(«parameters») def foo ...
The hash function in Java, used by HashMap and HashSet, is provided by the Object.hashCode() method. Since every class in Java inherits from Object, every object has a hash function. A class can override the default implementation of hashCode() to provide a custom hash function more in accordance with the properties of the object.
Function rank is an important concept to array programming languages in general, by analogy to tensor rank in mathematics: functions that operate on data may be classified by the number of dimensions they act on. Ordinary multiplication, for example, is a scalar ranked function because it operates on zero-dimensional data (individual numbers).
By returning a null object (i.e., an empty list) instead, there is no need to verify that the return value is in fact a list. The calling function may simply iterate the list as normal, effectively doing nothing. It is, however, still possible to check whether the return value is a null object (an empty list) and react differently if desired.
Initially, the sorted sublist is empty and the unsorted sublist is the entire input list. The algorithm proceeds by finding the smallest (or largest, depending on sorting order) element in the unsorted sublist, exchanging (swapping) it with the leftmost unsorted element (putting it in sorted order), and moving the sublist boundaries one element ...