Tree::RedBlack (3pm)

  use Tree::RedBlack;

  my $t = new Tree::RedBlack;
  $t->insert(3, 'cat');
  $t->insert(4, 'dog');
  my $v = $t->find(4);
  my $min = $t->min;
  my $max = $t->max;
  $t->delete(3);
  $t->print;

This is a perl implementation of the Red/Black tree algorithm found in the book \*(L"Algorithms\*(R", by Cormen, Leiserson & Rivest (more commonly known as \*(L"\s-1CLR\s0\*(R" or \*(L"The White Book\*(R"). A Red/Black tree is a binary tree which remains \*(L"balanced\*(R"- that is, the longest length from root to a node is at most one more than the shortest such length. It is fairly efficient; no operation takes more than O(lg(n)) time.

A Tree::RedBlack object supports the following methods:

new ()

Creates a new RedBlack tree object.

root ()

Returns the root node of the tree. Note that this will either be undef if no nodes have been added to the tree, or a Tree::RedBlack::Node object. See the Tree::RedBlack::Node manual page for details on the Node object.

cmp (&)

Use this method to set a comparator subroutine. The tree defaults to lexical comparisons. This subroutine should be just like a comparator subroutine to sort, except that it doesn't do the $a, $b trick; the two elements to compare will just be the first two items on the stack.

insert ($;$)

Adds a new node to the tree. The first argument is the key of the node, the second is its value. If a node with that key already exists, its value is replaced with the given value and the old value is returned. Otherwise, undef is returned.

delete ($)

The argument should be either a node object to delete or the key of a node object to delete. \s-1WARNING\s0!!! \s-1THIS\s0 \s-1STILL\s0 \s-1HAS\s0 \s-1BUGS\s0!!!

find ($)

Searches the tree to find the node with the given key. Returns the value of that node, or undef if a node with that key isn't found. Note, in particular, that you can't tell the difference between finding a node with value undef and not finding a node at all. If you want to determine if a node with a given key exists, use the node method, below.

node ($)

Searches the tree to find the node with the given key. Returns that node object if it is found, undef otherwise. The node object is a Tree::RedBlack::Node object.

min ()

Returns the node with the minimal key.

max ()

Returns the node with the maximal key.

Benjamin Holzman <[email protected]>

Tree::RedBlack::Node