Java tutorial
/* * Licensed 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 io.airlift.stats.cardinality; import com.google.common.base.Preconditions; final class Utils { private Utils() { } public static double alpha(int indexBitLength) { switch (indexBitLength) { case 4: return 0.673; case 5: return 0.697; case 6: return 0.709; default: return (0.7213 / (1 + 1.079 / numberOfBuckets(indexBitLength))); } } public static boolean isPowerOf2(long value) { Preconditions.checkArgument(value > 0, "value must be positive"); return (value & (value - 1)) == 0; } public static int indexBitLength(int numberOfBuckets) { Preconditions.checkArgument(isPowerOf2(numberOfBuckets), "numberOfBuckets must be a power of 2, actual: %s", numberOfBuckets); return (int) (Math.log(numberOfBuckets) / Math.log(2)); } public static int numberOfBuckets(int indexBitLength) { return 1 << indexBitLength; } public static int computeIndex(long hash, int indexBitLength) { return (int) (hash >>> (Long.SIZE - indexBitLength)); } public static int numberOfLeadingZeros(long hash, int indexBitLength) { long value = (hash << indexBitLength) | (1L << (indexBitLength - 1)); // place a 1 in the LSB to preserve the original number of leading zeros if the hash happens to be 0 return Long.numberOfLeadingZeros(value); } public static int computeValue(long hash, int indexBitLength) { return numberOfLeadingZeros(hash, indexBitLength) + 1; } public static double linearCounting(int zeroBuckets, int totalBuckets) { return totalBuckets * Math.log(totalBuckets * 1.0 / zeroBuckets); } }