package Bloom::Filter; use strict; use warnings; use Carp; use Digest::SHA1 qw/sha1 sha1_base64/; our $VERSION = '0.03'; =head1 NAME Bloom::Filter - Sample Perl Bloom filter implementation =head1 DESCRIPTION A Bloom filter is a probabilistic algorithm for doing existence tests in less memory than a full list of keys would require. The tradeoff to using Bloom filters is a certain configurable risk of false positives. This module implements a simple Bloom filter with configurable capacity and false positive rate. Bloom filters were first described in a 1970 paper by Burton Bloom, see http://portal.acm.org/citation.cfm?id=362692&dl=ACM&coll=portal. =head1 SYNOPSIS use Bloom::Filter my $bf = Bloom::Filter->new( capacity => 10, error_rate => .001 ); $bf->add( @keys ); while ( <> ) { chomp; print "Found $_\n" if $bf->check( $_ ); } =head1 CONSTRUCTORS =over =item new %PARAMS Create a brand new instance. Allowable params are C, C. =cut sub new { my ( $class, %params ) = @_; my $self = { # some defaults error_rate => 0.001, capacity => 100, %params, # internal data key_count => 0, filter_length => 0, num_hash_funcs => 0, salts => [], }; bless $self, $class; $self->init(); return $self; } =item init Calculates the best number of hash functions and optimum filter length, creates some random salts, and generates a blank bit vector. Called automatically by constructor. =cut sub init { my ( $self ) = @_; # some sanity checks croak "Capacity must be greater than zero" unless $self->{capacity}; croak "Error rate must be greater than zero" unless $self->{error_rate}; croak "Error rate cannot exceed 1" unless $self->{error_rate} < 1; my ( $length, $num_funcs ) = $self->_calculate_shortest_filter_length( $self->{capacity}, $self->{error_rate} ); $self->{num_hash_funcs} = $num_funcs; $self->{filter_length} = $length; # create some random salts; my %collisions; while ( scalar keys %collisions < $self->{num_hash_funcs} ) { $collisions{rand()}++; } $self->{salts} = [ keys %collisions ]; # make an empty filter $self->{filter} = pack( "b*", '0' x $self->{filter_length} ); # make some blank vectors to use $self->{blankmask} = pack( "b*", '0' x $self->{filter_length}); $self->{blankvec} = pack( "N", 0 ); return 1; } =back =head1 ACCESSORS =over =item capacity Returns the total capacity of the Bloom filter =cut sub capacity { $_[0]->{capacity} }; =item error_rate Returns the configured maximum error rate =cut sub error_rate { $_[0]->{error_rate} }; =item length Returns the length of the Bloom filter in bits =cut sub length { $_[0]->{filter_length} }; =item key_count Returns the number of items currently stored in the filter =cut sub key_count { $_[0]->{key_count} }; =item on_bits Returns the number of 'on' bits in the filter =cut sub on_bits { my ( $self ) = @_; return unless $self->{filter}; return unpack( "%32b*", $self->{filter}) } =item salts Returns the list of salts used to create the hash functions =cut sub salts { my ( $self ) = @_; return unless exists $self->{salts} and ref $self->{salts} and ref $self->{salts} eq 'ARRAY'; return @{ $self->{salts} }; } =back =head1 PUBLIC METHODS =over =item add @KEYS Adds the list of keys to the filter. Will fail, return C and complain if the number of keys in the filter exceeds the configured capacity. =cut sub add { my ( $self, @keys ) = @_; return unless @keys; # Hash our list of emails into the empty filter my @salts = @{ $self->{salts} } or croak "No salts found, cannot make bitmask"; my $mask = $self->{blankmask}; foreach my $key ( @keys ) { if ($self->{key_count}++ > ($self->{capacity} - 1) ) { carp "Exceeded filter capacity"; return; } foreach my $salt ( @salts ){ my $hash = sha1( $key, $salt ); # blank 32 bit vector my $vec = $self->{blankvec}; # split the 160-bit hash into five 32-bit ints # and XOR the pieces together my @pieces = map { pack( "N", $_ ) } unpack("N*", $hash ); $vec = $_ ^ $vec foreach @pieces; # Calculate bit offset by modding my $result = unpack( "N", $vec ); my $bit_offset = $result % $self->{filter_length}; vec( $mask, $bit_offset, 1 ) = 1; #undef $result; } #my $mask = $self->_make_bitmask( $key ); } $self->{filter} = $self->{filter} | $mask; return 1; } =item check @KEYS Checks the provided key list against the Bloom filter, and returns a list of equivalent length, with true or false values depending on whether there was a match. =cut sub check { my ( $self, @keys ) = @_; return unless @keys; my @result; # A match occurs if every bit we check is on foreach my $key ( @keys ) { my $mask = $self->_make_bitmask( $key ); push @result, ($mask eq ( $mask & $self->{filter} )); } return ( wantarray() ? @result : $result[0] ); } =back =head1 INTERNAL METHODS =over =item _calculate_shortest_filter_length CAPACITY ERR_RATE Given a desired error rate and maximum capacity, returns the optimum combination of vector length (in bits) and number of hash functions to use in building the filter, where "optimum" means shortest vector length. =cut sub _calculate_shortest_filter_length { my ( $self, $num_keys, $error_rate ) = @_; my $lowest_m; my $best_k = 1; foreach my $k ( 1..100 ) { my $m = (-1 * $k * $num_keys) / ( log( 1 - ($error_rate ** (1/$k)))); if ( !defined $lowest_m or ($m < $lowest_m) ) { $lowest_m = $m; $best_k = $k; } } $lowest_m = int( $lowest_m ) + 1; return ( $lowest_m, $best_k ); } =item _make_bitmask KEY Given a key, hashes it using the list of salts and returns a bitmask the same length as the Bloom filter. Note that Perl will pad the bitmask out with zeroes so it's a muliple of 8. =cut sub _make_bitmask { my ( $self, $key ) = @_; croak "Filter length is undefined" unless $self->{filter_length}; my @salts = @{ $self->{salts} } or croak "No salts found, cannot make bitmask"; my $mask = $self->{blankmask}; foreach my $salt ( @salts ){ my $hash = sha1( $key, $salt ); # blank 32 bit vector my $vec = $self->{blankvec}; # split the 160-bit hash into five 32-bit ints # and XOR the pieces together my @pieces = map { pack( "N", $_ ) } unpack("N*", $hash ); $vec = $_ ^ $vec foreach @pieces; # Calculate bit offset by modding my $result = unpack( "N", $vec ); my $bit_offset = $result % $self->{filter_length}; vec( $mask, $bit_offset, 1 ) = 1; undef $result; } return $mask; } =back =head1 AUTHOR Maciej Ceglowski Emaciej@ceglowski.comE =head1 COPYRIGHT AND LICENSE (c) 2004 Maciej Ceglowski This is free software, distributed under version 2 of the GNU Public License (GPL). =cut 1;