📄 bloomfilter.java
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package it.unimi.dsi.mg4j.util;/* * MG4J: Managing Gigabytes for Java * * Copyright (C) 2004-2007 Sebastiano Vigna * * This library is free software; you can redistribute it and/or modify it * under the terms of the GNU Lesser General Public License as published by the Free * Software Foundation; either version 2.1 of the License, or (at your option) * any later version. * * This library is distributed in the hope that it will be useful, but * WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY * or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License * for more details. * * You should have received a copy of the GNU Lesser General Public License * along with this program; if not, write to the Free Software * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. * */import it.unimi.dsi.fastutil.io.BinIO;import it.unimi.dsi.fastutil.longs.LongArrays;import it.unimi.dsi.io.FastBufferedReader;import java.io.IOException;import java.io.InputStreamReader;import java.io.Serializable;import java.nio.charset.Charset;import java.util.Random;import it.unimi.dsi.lang.MutableString;import cern.jet.random.engine.MersenneTwister;import com.martiansoftware.jsap.FlaggedOption;import com.martiansoftware.jsap.JSAP;import com.martiansoftware.jsap.JSAPException;import com.martiansoftware.jsap.JSAPResult;import com.martiansoftware.jsap.Parameter;import com.martiansoftware.jsap.SimpleJSAP;import com.martiansoftware.jsap.UnflaggedOption;import com.martiansoftware.jsap.stringparsers.ForNameStringParser;import com.martiansoftware.jsap.stringparsers.IntSizeStringParser;/** A Bloom filter. * * <P>Instances of this class represent a set of character sequences or primitive-type * arrays (with false positives) using a Bloom filter. Because of the way Bloom filters work, * you cannot remove elements. * * <p>The intended usage is that character sequences * and arrays should <em>not</em> be mixed (albeit in principle it could work). A Bloom filter is * rather agnostic with respect to the data it contains—all it needs is a sequence of hash * functions that can be applied to the data. * * <P>Bloom filters have an expected error rate, depending on the number * of hash functions used, on the filter size and on the number of elements in the filter. This implementation * uses a variable optimal number of hash functions, depending on the expected * number of elements. More precisely, a Bloom * filter for <var>n</var> character sequences with <var>d</var> hash functions will use * ln 2 <var>d</var><var>n</var> ≈ 1.44 <var>d</var><var>n</var> bits; * false positives will happen with probability 2<sup>-<var>d</var></sup>. The maximum * number of bits supported is {@link #MAX_BITS}. * * <P>Hash functions are generated at creation time using a mix of * universal hashing and shift-add-xor hashing (for the latter, see * “Performance in practice of string hashing functions”, by * M.V. Ramakrishna and Justin Zobel, <i>Proc. of the Fifth International Conference on * Database Systems for Advanced Applications</i>, 1997, pages 215−223). * * <p>Each hash function uses {@link #NUMBER_OF_WEIGHTS} random integers, * which are cyclically multiplied by the character codes in a character sequence. * The resulting integers are then summed with a shifted * hash and XOR-ed together. * * <P>This class exports access methods that are similar to those of {@link java.util.Set}, * but it does not implement that interface, as too many non-optional methods * would be unimplementable (e.g., iterators). * * <P>A main method makes it easy to create serialised Bloom filters starting * from a list of terms. * * @deprecated Moved to <code>dsiutils</code>. * @author Sebastiano Vigna */@Deprecatedpublic class BloomFilter implements Serializable { private static final boolean DEBUG = false; private static final long serialVersionUID = 2L; /** The number of elements currently in the filter. It may be * smaller than the actual number of additions because of false positives. */ private int size; /** The maximum number of bits in a filter (limited by array size and bits in a long). */ public static final long MAX_BITS = (long)Long.SIZE * Integer.MAX_VALUE; private final static long LOG2_LONG_SIZE = 6; private final static long BIT_INDEX_MASK = ( 1 << LOG2_LONG_SIZE ) - 1; /** The number of weights used to create hash functions. */ final public static int NUMBER_OF_WEIGHTS = 16; /** The number of bits in this filter. */ final public long m; /** The number of hash functions used by this filter. */ final public int d; /** The underlying bit vector. */ final private long[] bits; /** The random integers used to generate the hash functions. */ final private int[][] weight; /** The random integers used to initialise the hash functions. */ final private int[] init; /** The natural logarithm of 2, used in the computation of the number of bits. */ private final static double NATURAL_LOG_OF_2 = Math.log( 2 ); /** Creates a new high-precision Bloom filter a given expected number of elements. * * <p>This constructor uses a number of hash functions that is logarithmic in the number * of expected elements. This usually results in no false positives at all. * * @param n the expected number of elements. */ public BloomFilter( final int n ) { this( n, Fast.mostSignificantBit( n ) + 1 ); } /** Creates a new Bloom filter with given number of hash functions and expected number of elements. * * @param n the expected number of elements. * @param d the number of hash functions; under obvious uniformity and indipendence assumptions, * if the filter has not more than <code>n</code> elements, * false positives will happen with probability 2<sup>-<var>d</var></sup>. */ public BloomFilter( final int n, final int d ) { this.d = d; final long wantedNumberOfBits = (long)Math.ceil( n * ( d / NATURAL_LOG_OF_2 ) ); if ( wantedNumberOfBits > MAX_BITS ) throw new IllegalArgumentException( "The wanted number of bits (" + wantedNumberOfBits + ") is larger than " + MAX_BITS ); bits = new long[ (int)( ( wantedNumberOfBits + Long.SIZE - 1 ) / Long.SIZE ) ]; m = bits.length * (long)Long.SIZE; if ( DEBUG ) System.err.println( "Number of bits: " + m ); // The purpose of Random().nextInt() is to generate a different seed at each invocation. final MersenneTwister mersenneTwister = new MersenneTwister( new Random().nextInt() ); weight = new int[ d ][]; init = new int[ d ]; for( int i = 0; i < d; i++ ) { weight[ i ] = new int[ NUMBER_OF_WEIGHTS ]; init[ i ] = mersenneTwister.nextInt(); for( int j = 0; j < NUMBER_OF_WEIGHTS; j++ ) weight[ i ][ j ] = mersenneTwister.nextInt(); } } /** Returns the value of the bit with the specified index in the specified array. * * <p>This method (and its companion {@link #set(long[], long)}) are static * so that the bit array can be cached by the caller in a local variable. * * @param index the bit index. * @return the value of the bit of index <code>index</code>. */ private static boolean get( long[] bits, long index ) { return ( bits[ (int)( index >> LOG2_LONG_SIZE ) ] & ( 1L << ( index & BIT_INDEX_MASK ) ) ) != 0; } /** Sets the bit with specified index in the specified array. * * @param index the bit index. * @see #get(long[], long) */ private boolean set( long[] bits, long index ) { final int unit = (int)( index >> LOG2_LONG_SIZE ); final long mask = 1L << ( index & BIT_INDEX_MASK ); final boolean result = ( bits[ unit ] & mask ) != 0; bits[ unit ] |= mask; return result; } /** Hashes the given sequence with the given hash function. * * @param s a character sequence. * @param l the length of <code>s</code>. * @param k a hash function index (smaller than {@link #d}). * @return the position in the filter corresponding to <code>s</code> for the hash function <code>k</code>. */ private long hash( final CharSequence s, final int l, final int k ) { final int[] w = weight[ k ]; long h = init[ k ]; int i = l; while( i-- != 0 ) h ^= ( h << 5 ) + s.charAt( i ) * w[ i % NUMBER_OF_WEIGHTS ] + ( h >>> 2 ); return ( h & 0x7FFFFFFFFFFFFFFFL ) % m; } /** Hashes the given byte array with the given hash function. * * @param a a byte array. * @param l the length of <code>s</code>. * @param k a hash function index (smaller than {@link #d}). * @return the position in the filter corresponding to <code>a</code> for the hash function <code>k</code>. */ private long hash( final byte[] a, final int l, final int k ) { final int[] w = weight[ k ]; long h = init[ k ]; int i = l; while( i-- != 0 ) h ^= ( h << 5 ) + a[ i ] * w[ i % NUMBER_OF_WEIGHTS ] + ( h >>> 2 ); return ( h & 0x7FFFFFFFFFFFFFFFL ) % m; } /** Hashes the given short array with the given hash function. * * @param a a short array. * @param l the length of <code>s</code>. * @param k a hash function index (smaller than {@link #d}). * @return the position in the filter corresponding to <code>a</code> for the hash function <code>k</code>. */ private long hash( final short[] a, final int l, final int k ) { final int[] w = weight[ k ]; long h = init[ k ]; int i = l; while( i-- != 0 ) h ^= ( h << 5 ) + a[ i ] * w[ i % NUMBER_OF_WEIGHTS ] + ( h >>> 2 ); return ( h & 0x7FFFFFFFFFFFFFFFL ) % m; } /** Hashes the given character array with the given hash function. * * @param a a character array. * @param l the length of <code>s</code>. * @param k a hash function index (smaller than {@link #d}). * @return the position in the filter corresponding to <code>a</code> for the hash function <code>k</code>. */ private long hash( final char[] a, final int l, final int k ) { final int[] w = weight[ k ]; long h = init[ k ]; int i = l; while( i-- != 0 ) h ^= ( h << 5 ) + a[ i ] * w[ i % NUMBER_OF_WEIGHTS ] + ( h >>> 2 ); return ( h & 0x7FFFFFFFFFFFFFFFL ) % m; } /** Hashes the given int array with the given hash function. * * @param a an int array. * @param l the length of <code>s</code>. * @param k a hash function index (smaller than {@link #d}). * @return the position in the filter corresponding to <code>a</code> for the hash function <code>k</code>. */ private long hash( final int[] a, final int l, final int k ) { final int[] w = weight[ k ]; long h = init[ k ]; int i = l; while( i-- != 0 ) h ^= ( h << 5 ) + a[ i ] * w[ i % NUMBER_OF_WEIGHTS ] + ( h >>> 2 ); return ( h & 0x7FFFFFFFFFFFFFFFL ) % m; } /** Hashes the given long array with the given hash function. * * @param a a long array. * @param l the length of <code>s</code>. * @param k a hash function index (smaller than {@link #d}). * @return the position in the filter corresponding to <code>a</code> for the hash function <code>k</code>. */ private long hash( final long[] a, final int l, final int k ) { final int[] w = weight[ k ]; long h = init[ k ]; int i = l; while( i-- != 0 ) h ^= ( h << 5 ) + a[ i ] * w[ i % NUMBER_OF_WEIGHTS ] + ( h >>> 2 ); return ( h & 0x7FFFFFFFFFFFFFFFL ) % m; } /** Hashes the given float array with the given hash function. * * @param a a float array. * @param l the length of <code>s</code>. * @param k a hash function index (smaller than {@link #d}). * @return the position in the filter corresponding to <code>a</code> for the hash function <code>k</code>. */ private long hash( final float[] a, final int l, final int k ) { final int[] w = weight[ k ]; long h = init[ k ]; int i = l; while( i-- != 0 ) h ^= ( h << 5 ) + Float.floatToRawIntBits( a[ i ] ) * w[ i % NUMBER_OF_WEIGHTS ] + ( h >>> 2 ); return ( h & 0x7FFFFFFFFFFFFFFFL ) % m; } /** Hashes the given double array with the given hash function. * * @param a a double array. * @param l the length of <code>s</code>. * @param k a hash function index (smaller than {@link #d}). * @return the position in the filter corresponding to <code>a</code> for the hash function <code>k</code>. */ private long hash( final double[] a, final int l, final int k ) { final int[] w = weight[ k ]; long h = init[ k ]; int i = l; while( i-- != 0 ) h ^= ( h << 5 ) + Double.doubleToRawLongBits( a[ i ] ) * w[ i % NUMBER_OF_WEIGHTS ] + ( h >>> 2 ); return ( h & 0x7FFFFFFFFFFFFFFFL ) % m; } /** Checks whether the given character sequence is in this filter. * * <P>Note that this method may return true on a character sequence that has
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