NAME
AVLTree - Perl extension for efficient creation and manipulation of AVL balanced binary trees.
VERSION
Version 0.0.3
DESCRIPTION
This module provides a simple and fast implementation of AVL balanced trees. It uses the Perl XS extension mechanism by providing a tiny wrapper around an efficient C library which does the core of the work. Preliminary benchmarking shows this module one order of magnitude faster than a pure perl implementation.
The nodes of an AVL tree object can hold any kind of item, as long as each one of these has an element which can be used to define a partial order on the set of possible items. This is specified by providing, upon tree construction, a reference to a function for comparing any two of the possible items.
The underlying C library is a reinterpretation of the C library originally developed by Julienne Walker. This library has been adapted for dealing directly with Perl (SV) variables.
The module at the moment is in beta stage but it is usable. It provides methods for creating and querying an AVL tree, get its size and insert and remove elements from it. No methods exist to traverse the tree at this stage, but I promise this functionality is going to be implemented very soon.
SYNOPSIS
use AVLTree;
# Define a function to compare two numbers i1 and i2,
# return -1 if i1 < i2, 1 if i2 > i1 and 0 otherwise
sub cmp_f = sub {
my ($i1, $i2) = @_;
return $i1<$i2?-1:($i1>$i2)?1:0;
}
# Instantiate a tree which holds numbers
my $tree = AVLTree->new(\&cmp_f);
# Add some numbers to the tree
map { $tree->insert($_) } qw/10 20 30 40 50 25/;
# Now invoke some useful methods
# Size of the tree
printf "Size of the tree: %d\n", $tree->size();
# Query the tree
my $query = 30;
print "Query: %d, Found: %d\n", $query, $tree->find($query)?1:0;
# Remove an item
my $item = 1
if($tree->remove($item)) {
print "Item $item has been removed\n";
} else {
print "Item $item was not in the tree so it's not been removed\n";
}
printf "Size of tree is now: %d\n", $tree->size();
...
# Suppose you want the tree to hold generic data items, e.g. hashrefs
# which hold some data. We can deal with these by definying a custom
# comparison function based on one of the attributes of these data items,
# e.g. 'id':
sub compare {
my ($i1, $i2) = @_;
my ($id1, $id2) = ($i1->{id}, $i2->{id});
croak "Cannot compare items based on id"
unless defined $id1 and defined $id2;
return $id1<$id2?-1:($id1>$id2)?1:0;
}
# Now can do the same as with numbers
my $tree = AVLTree->new(\&compare);
my $insert_ok = $tree->insert({ id => 10, data => 'ten' });
croak "Could not insert item" unless $insert_ok;
$insert_ok = $tree->insert({ id => 20, data => 'twenty' });
...
my $id = 10;
my $result = $tree->find({ id => $id });
if($result) {
printf "Item with id %d found\nData: %s\n", $id, $result->{data};
} else {
print "Item with id $id not found\n";
}
...
METHODS
new
Arg [1] : (required) A reference to a subroutine
Example : my $tree->new(\&compare);
carp "Unable to instantiate tree" unless defined $tree;
Description : Creates a new AVL tree object.
The objects hold by the tree are implicitly defined
by the provided callback.
Returntype : AVLTreePtr or undef if unable to instantiate
Exceptions : None
Caller : General
Status : Unstable, interface might change to accomodate suitable defaults,
e.g. numbers
find
Arg [1] : Item to search, can be defined just in terms of the attribute
with which the items in the tree are compared.
Example : $tree->find({ id => 10 }); # objects in the tree can hold data as well
if($result) {
printf "Item with id %d found\nData: %s\n", $id, $result->{data};
} else { print "Item with id $id not found\n"; }
Description : Query if an item exists in the tree.
Returntype : The item, if found, as stored in the tree or undef
if the item was not found or the query was not provided
or it was undefined.
Exceptions : None
Caller : General
Status : Unstable
insert
Arg [1] : An item to insert in the tree.
Example : my $ok = $tree->insert({ id => 10, data => 'ten' });
croak "Unable to insert 10" unless $ok;
Description : Insert an item in the tree, use the provided, upon tree construction,
comparison function to determine the position of the item in the tree
Returntype : Bool, true if the item was successfully installed, false otherwise
Exceptions : None
Caller : General
Status : Unstable
remove
Arg[1] : An item to remove from the tree
Example : my $ok = $tree->remove({ id => 10 });
croak "Unable to remove 10" unless $ok;
Description : Remove an item from the tree.
Returntype : Bool, true if the item was successfully installed, false otherwise
Exceptions : None
Caller : General
Status : Unstable
size
Arg[...] : None
Example : print "Size of the tree is: %d\n", $tree->size();
Description : Returns the size of the tree (number of nodes)
Returntype : Int, the size of the tree
Exceptions : None
Caller : General
Status : Unstable
DEPENDENCIES
AVLTree requires Carp and Test::More and Test::LeakTrace to run the tests during installation. If you want to run the benchmarks in the scripts directory, you need to install the Benchmark and List::Util modules.
CHANGES
0.0.3 Thu 21 Dec 2017 * Additional dependency necessary for CPAN testers * Removed AVL::Tree import for benchmarking
0.01 Mon 18 Dec 2017 * First release to CPAN, partial port of jsw_avltree AVL tree C library, traversal methods not implemented.
EXPORT
None
SEE ALSO
There are of course other modules which provide this functionality, see e.g. Tree::AVL, Btrees.
You can appreciate the power of this module by running some benchmarking against the above. If you've installed from source, go to the installation directory and:
cd scripts
perl benchmarking.pl
Preliminary experiments suggest speed gains of one order of magnitude.
To the best of my knowledge, there are no modules using Perl XS attempting to implement AVL trees in the most efficient possible way. The closest thing is Tree::Fat, a Perl extension to implement Fat-Node trees.
AUTHOR
Alessandro Vullo, <avullo at cpan.org>
BUGS
Please report any bugs or feature requests to bug-avltree at rt.cpan.org
, or through the web interface at http://rt.cpan.org/NoAuth/ReportBug.html?Queue=AVLTree. I will be notified, and then you'll automatically be notified of progress on your bug as I make changes.
CONTRIBUTING
You can obtain the most recent development version of this module via the GitHub repository at https://github.com/avullo/AVLTree. Please feel free to submit bug reports, patches etc.
SUPPORT
You can find documentation for this module with the perldoc command.
perldoc AVLTree
You can also look for information at:
RT: CPAN's request tracker (report bugs here)
AnnoCPAN: Annotated CPAN documentation
CPAN Ratings
Search CPAN
ACKNOWLEDGEMENTS
I am very grateful to Julienne Walker for generously providing the source code of his production quality C library for handling AVL balanced trees.
Julienne's library can be found at:
http://www.eternallyconfuzzled.com/Libraries.aspx
LICENSE AND COPYRIGHT
Copyright 2017 Alessandro Vullo.
This program is free software; you can redistribute it and/or modify it under the terms of either: the GNU General Public License as published by the Free Software Foundation; or the Artistic License.
See http://dev.perl.org/licenses/ for more information.