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/*
 * Licensed to the Apache Software Foundation (ASF) under one
 * or more contributor license agreements.  See the NOTICE file
 * distributed with this work for additional information
 * regarding copyright ownership.  The ASF licenses this file
 * to you under the Apache License, Version 2.0 (the
 * "License"); you may not use this file except in compliance
 * with the License.  You may obtain a copy of the License at
 *
 *     http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */
package org.apache.hadoop.hbase.util;

import static org.apache.hadoop.hbase.regionserver.BloomType.ROWPREFIX_FIXED_LENGTH;

import java.text.NumberFormat;
import java.util.Random;

import org.apache.hadoop.conf.Configuration;
import org.apache.hadoop.hbase.Cell;
import org.apache.hadoop.hbase.HConstants;
import org.apache.hadoop.hbase.nio.ByteBuff;
import org.apache.hadoop.hbase.regionserver.BloomType;
import org.apache.yetus.audience.InterfaceAudience;

/**
 * Utility methods related to BloomFilters
 */
@InterfaceAudience.Private
public final class BloomFilterUtil {

  /** Record separator for the Bloom filter statistics human-readable string */
  public static final String STATS_RECORD_SEP = "; ";
  /**
   * Used in computing the optimal Bloom filter size. This approximately equals
   * 0.480453.
   */
  public static final double LOG2_SQUARED = Math.log(2) * Math.log(2);
  
  /**
   * A random number generator to use for "fake lookups" when testing to
   * estimate the ideal false positive rate.
   */
  private static Random randomGeneratorForTest;

  public static final String PREFIX_LENGTH_KEY = "RowPrefixBloomFilter.prefix_length";
  
  /** Bit-value lookup array to prevent doing the same work over and over */
  public static final byte [] bitvals = {
    (byte) 0x01,
    (byte) 0x02,
    (byte) 0x04,
    (byte) 0x08,
    (byte) 0x10,
    (byte) 0x20,
    (byte) 0x40,
    (byte) 0x80
  };

  /**
   * Private constructor to keep this class from being instantiated.
   */
  private BloomFilterUtil() {
  }

  /**
   * @param maxKeys
   * @param errorRate
   * @return the number of bits for a Bloom filter than can hold the given
   *         number of keys and provide the given error rate, assuming that the
   *         optimal number of hash functions is used and it does not have to
   *         be an integer.
   */
  public static long computeBitSize(long maxKeys, double errorRate) {
    return (long) Math.ceil(maxKeys * (-Math.log(errorRate) / LOG2_SQUARED));
  }

  /**
   * Sets a random generator to be used for look-ups instead of computing hashes. Can be used to
   * simulate uniformity of accesses better in a test environment. Should not be set in a real
   * environment where correctness matters!
   * 

* This gets used in {@link #contains(ByteBuff, int, int, Hash, int, HashKey)} * @param random The random number source to use, or null to compute actual hashes */ public static void setRandomGeneratorForTest(Random random) { randomGeneratorForTest = random; } /** * The maximum number of keys we can put into a Bloom filter of a certain * size to maintain the given error rate, assuming the number of hash * functions is chosen optimally and does not even have to be an integer * (hence the "ideal" in the function name). * * @param bitSize * @param errorRate * @return maximum number of keys that can be inserted into the Bloom filter * @see #computeMaxKeys(long, double, int) for a more precise estimate */ public static long idealMaxKeys(long bitSize, double errorRate) { // The reason we need to use floor here is that otherwise we might put // more keys in a Bloom filter than is allowed by the target error rate. return (long) (bitSize * (LOG2_SQUARED / -Math.log(errorRate))); } /** * The maximum number of keys we can put into a Bloom filter of a certain * size to get the given error rate, with the given number of hash functions. * * @param bitSize * @param errorRate * @param hashCount * @return the maximum number of keys that can be inserted in a Bloom filter * to maintain the target error rate, if the number of hash functions * is provided. */ public static long computeMaxKeys(long bitSize, double errorRate, int hashCount) { return (long) (-bitSize * 1.0 / hashCount * Math.log(1 - Math.exp(Math.log(errorRate) / hashCount))); } /** * Computes the actual error rate for the given number of elements, number * of bits, and number of hash functions. Taken directly from the * Wikipedia Bloom filter article. * * @param maxKeys * @param bitSize * @param functionCount * @return the actual error rate */ public static double actualErrorRate(long maxKeys, long bitSize, int functionCount) { return Math.exp(Math.log(1 - Math.exp(-functionCount * maxKeys * 1.0 / bitSize)) * functionCount); } /** * Increases the given byte size of a Bloom filter until it can be folded by * the given factor. * * @param bitSize * @param foldFactor * @return Foldable byte size */ public static int computeFoldableByteSize(long bitSize, int foldFactor) { long byteSizeLong = (bitSize + 7) / 8; int mask = (1 << foldFactor) - 1; if ((mask & byteSizeLong) != 0) { byteSizeLong >>= foldFactor; ++byteSizeLong; byteSizeLong <<= foldFactor; } if (byteSizeLong > Integer.MAX_VALUE) { throw new IllegalArgumentException("byteSize=" + byteSizeLong + " too " + "large for bitSize=" + bitSize + ", foldFactor=" + foldFactor); } return (int) byteSizeLong; } public static int optimalFunctionCount(int maxKeys, long bitSize) { long i = bitSize / maxKeys; double result = Math.ceil(Math.log(2) * i); if (result > Integer.MAX_VALUE){ throw new IllegalArgumentException("result too large for integer value."); } return (int)result; } /** * Creates a Bloom filter chunk of the given size. * * @param byteSizeHint the desired number of bytes for the Bloom filter bit * array. Will be increased so that folding is possible. * @param errorRate target false positive rate of the Bloom filter * @param hashType Bloom filter hash function type * @param foldFactor * @param bloomType * @return the new Bloom filter of the desired size */ public static BloomFilterChunk createBySize(int byteSizeHint, double errorRate, int hashType, int foldFactor, BloomType bloomType) { BloomFilterChunk bbf = new BloomFilterChunk(hashType, bloomType); bbf.byteSize = computeFoldableByteSize(byteSizeHint * 8L, foldFactor); long bitSize = bbf.byteSize * 8; bbf.maxKeys = (int) idealMaxKeys(bitSize, errorRate); bbf.hashCount = optimalFunctionCount(bbf.maxKeys, bitSize); // Adjust max keys to bring error rate closer to what was requested, // because byteSize was adjusted to allow for folding, and hashCount was // rounded. bbf.maxKeys = (int) computeMaxKeys(bitSize, errorRate, bbf.hashCount); return bbf; } public static boolean contains(byte[] buf, int offset, int length, ByteBuff bloomBuf, int bloomOffset, int bloomSize, Hash hash, int hashCount) { HashKey hashKey = new ByteArrayHashKey(buf, offset, length); return contains(bloomBuf, bloomOffset, bloomSize, hash, hashCount, hashKey); } private static boolean contains(ByteBuff bloomBuf, int bloomOffset, int bloomSize, Hash hash, int hashCount, HashKey hashKey) { int hash1 = hash.hash(hashKey, 0); int bloomBitSize = bloomSize << 3; int hash2 = 0; int compositeHash = 0; if (randomGeneratorForTest == null) { // Production mode compositeHash = hash1; hash2 = hash.hash(hashKey, hash1); } for (int i = 0; i < hashCount; i++) { int hashLoc = (randomGeneratorForTest == null // Production mode ? Math.abs(compositeHash % bloomBitSize) // Test mode with "fake look-ups" to estimate "ideal false positive rate" : randomGeneratorForTest.nextInt(bloomBitSize)); compositeHash += hash2; if (!checkBit(hashLoc, bloomBuf, bloomOffset)) { return false; } } return true; } public static boolean contains(Cell cell, ByteBuff bloomBuf, int bloomOffset, int bloomSize, Hash hash, int hashCount, BloomType type) { HashKey hashKey = type == BloomType.ROWCOL ? new RowColBloomHashKey(cell) : new RowBloomHashKey(cell); return contains(bloomBuf, bloomOffset, bloomSize, hash, hashCount, hashKey); } /** * Check if bit at specified index is 1. * * @param pos index of bit * @return true if bit at specified index is 1, false if 0. */ static boolean checkBit(int pos, ByteBuff bloomBuf, int bloomOffset) { int bytePos = pos >> 3; //pos / 8 int bitPos = pos & 0x7; //pos % 8 byte curByte = bloomBuf.get(bloomOffset + bytePos); curByte &= bitvals[bitPos]; return (curByte != 0); } /** * A human-readable string with statistics for the given Bloom filter. * * @param bloomFilter the Bloom filter to output statistics for; * @return a string consisting of "<key>: <value>" parts * separated by {@link #STATS_RECORD_SEP}. */ public static String formatStats(BloomFilterBase bloomFilter) { StringBuilder sb = new StringBuilder(); long k = bloomFilter.getKeyCount(); long m = bloomFilter.getMaxKeys(); sb.append("BloomSize: " + bloomFilter.getByteSize() + STATS_RECORD_SEP); sb.append("No of Keys in bloom: " + k + STATS_RECORD_SEP); sb.append("Max Keys for bloom: " + m); if (m > 0) { sb.append(STATS_RECORD_SEP + "Percentage filled: " + NumberFormat.getPercentInstance().format(k * 1.0 / m)); } return sb.toString(); } public static String toString(BloomFilterChunk bloomFilter) { return formatStats(bloomFilter) + STATS_RECORD_SEP + "Actual error rate: " + String.format("%.8f", bloomFilter.actualErrorRate()); } public static byte[] getBloomFilterParam(BloomType bloomFilterType, Configuration conf) throws IllegalArgumentException { byte[] bloomParam = null; String message = "Bloom filter type is " + bloomFilterType + ", "; if (bloomFilterType.equals(ROWPREFIX_FIXED_LENGTH)) { String prefixLengthString = conf.get(PREFIX_LENGTH_KEY); if (prefixLengthString == null) { message += PREFIX_LENGTH_KEY + " not specified."; throw new IllegalArgumentException(message); } int prefixLength; try { prefixLength = Integer.parseInt(prefixLengthString); if (prefixLength <= 0 || prefixLength > HConstants.MAX_ROW_LENGTH) { message += "the value of " + PREFIX_LENGTH_KEY + " must >=0 and < " + HConstants.MAX_ROW_LENGTH; throw new IllegalArgumentException(message); } } catch (NumberFormatException nfe) { message = "Number format exception when parsing " + PREFIX_LENGTH_KEY + " for BloomType " + bloomFilterType.toString() + ":" + prefixLengthString; throw new IllegalArgumentException(message, nfe); } bloomParam = Bytes.toBytes(prefixLength); } return bloomParam; } }





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