com.google.common.hash.Hashing.java Source code

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/*
 * Copyright (C) 2011 The Guava Authors
 *
 * 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 com.google.common.hash;

import static com.google.common.base.Preconditions.checkArgument;
import static com.google.common.base.Preconditions.checkNotNull;

import com.google.common.annotations.Beta;
import com.google.common.base.Supplier;

import java.security.Key;
import java.security.MessageDigest;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Iterator;
import java.util.List;
import java.util.zip.Adler32;
import java.util.zip.CRC32;
import java.util.zip.Checksum;

import javax.annotation.CheckReturnValue;
import javax.annotation.Nullable;
import javax.crypto.spec.SecretKeySpec;

/**
 * Static methods to obtain {@link HashFunction} instances, and other static hashing-related
 * utilities.
 *
 * <p>A comparison of the various hash functions can be found
 * <a href="http://goo.gl/jS7HH">here</a>.
 *
 * @author Kevin Bourrillion
 * @author Dimitris Andreou
 * @author Kurt Alfred Kluever
 * @since 11.0
 */
@Beta
@CheckReturnValue
public final class Hashing {
    /**
     * Returns a general-purpose, <b>temporary-use</b>, non-cryptographic hash function. The algorithm
     * the returned function implements is unspecified and subject to change without notice.
     *
     * <p><b>Warning:</b> a new random seed for these functions is chosen each time the {@code
     * Hashing} class is loaded. <b>Do not use this method</b> if hash codes may escape the current
     * process in any way, for example being sent over RPC, or saved to disk.
     *
     * <p>Repeated calls to this method on the same loaded {@code Hashing} class, using the same value
     * for {@code minimumBits}, will return identically-behaving {@link HashFunction} instances.
     *
     * @param minimumBits a positive integer (can be arbitrarily large)
     * @return a hash function, described above, that produces hash codes of length {@code
     *     minimumBits} or greater
     */
    public static HashFunction goodFastHash(int minimumBits) {
        int bits = checkPositiveAndMakeMultipleOf32(minimumBits);

        if (bits == 32) {
            return Murmur3_32Holder.GOOD_FAST_HASH_FUNCTION_32;
        }
        if (bits <= 128) {
            return Murmur3_128Holder.GOOD_FAST_HASH_FUNCTION_128;
        }

        // Otherwise, join together some 128-bit murmur3s
        int hashFunctionsNeeded = (bits + 127) / 128;
        HashFunction[] hashFunctions = new HashFunction[hashFunctionsNeeded];
        hashFunctions[0] = Murmur3_128Holder.GOOD_FAST_HASH_FUNCTION_128;
        int seed = GOOD_FAST_HASH_SEED;
        for (int i = 1; i < hashFunctionsNeeded; i++) {
            seed += 1500450271; // a prime; shouldn't matter
            hashFunctions[i] = murmur3_128(seed);
        }
        return new ConcatenatedHashFunction(hashFunctions);
    }

    /**
     * Used to randomize {@link #goodFastHash} instances, so that programs which persist anything
     * dependent on the hash codes they produce will fail sooner.
     */
    private static final int GOOD_FAST_HASH_SEED = (int) System.currentTimeMillis();

    /**
     * Returns a hash function implementing the
     * <a href="http://smhasher.googlecode.com/svn/trunk/MurmurHash3.cpp">
     * 32-bit murmur3 algorithm, x86 variant</a> (little-endian variant),
     * using the given seed value.
     *
     * <p>The exact C++ equivalent is the MurmurHash3_x86_32 function (Murmur3A).
     */
    public static HashFunction murmur3_32(int seed) {
        return new Murmur3_32HashFunction(seed);
    }

    /**
     * Returns a hash function implementing the
     * <a href="http://smhasher.googlecode.com/svn/trunk/MurmurHash3.cpp">
     * 32-bit murmur3 algorithm, x86 variant</a> (little-endian variant),
     * using a seed value of zero.
     *
     * <p>The exact C++ equivalent is the MurmurHash3_x86_32 function (Murmur3A).
     */
    public static HashFunction murmur3_32() {
        return Murmur3_32Holder.MURMUR3_32;
    }

    private static class Murmur3_32Holder {
        static final HashFunction MURMUR3_32 = new Murmur3_32HashFunction(0);

        /** Returned by {@link #goodFastHash} when {@code minimumBits <= 32}. */
        static final HashFunction GOOD_FAST_HASH_FUNCTION_32 = murmur3_32(GOOD_FAST_HASH_SEED);
    }

    /**
     * Returns a hash function implementing the
     * <a href="http://smhasher.googlecode.com/svn/trunk/MurmurHash3.cpp">
     * 128-bit murmur3 algorithm, x64 variant</a> (little-endian variant),
     * using the given seed value.
     *
     * <p>The exact C++ equivalent is the MurmurHash3_x64_128 function (Murmur3F).
     */
    public static HashFunction murmur3_128(int seed) {
        return new Murmur3_128HashFunction(seed);
    }

    /**
     * Returns a hash function implementing the
     * <a href="http://smhasher.googlecode.com/svn/trunk/MurmurHash3.cpp">
     * 128-bit murmur3 algorithm, x64 variant</a> (little-endian variant),
     * using a seed value of zero.
     *
     * <p>The exact C++ equivalent is the MurmurHash3_x64_128 function (Murmur3F).
     */
    public static HashFunction murmur3_128() {
        return Murmur3_128Holder.MURMUR3_128;
    }

    private static class Murmur3_128Holder {
        static final HashFunction MURMUR3_128 = new Murmur3_128HashFunction(0);

        /** Returned by {@link #goodFastHash} when {@code 32 < minimumBits <= 128}. */
        static final HashFunction GOOD_FAST_HASH_FUNCTION_128 = murmur3_128(GOOD_FAST_HASH_SEED);
    }

    /**
     * Returns a hash function implementing the
     * <a href="https://131002.net/siphash/">64-bit SipHash-2-4 algorithm</a>
     * using a seed value of {@code k = 00 01 02 ...}.
     *
     * @since 15.0
     */
    public static HashFunction sipHash24() {
        return SipHash24Holder.SIP_HASH_24;
    }

    private static class SipHash24Holder {
        static final HashFunction SIP_HASH_24 = new SipHashFunction(2, 4, 0x0706050403020100L, 0x0f0e0d0c0b0a0908L);
    }

    /**
     * Returns a hash function implementing the
     * <a href="https://131002.net/siphash/">64-bit SipHash-2-4 algorithm</a>
     * using the given seed.
     *
     * @since 15.0
     */
    public static HashFunction sipHash24(long k0, long k1) {
        return new SipHashFunction(2, 4, k0, k1);
    }

    /**
     * Returns a hash function implementing the MD5 hash algorithm (128 hash bits) by delegating to
     * the MD5 {@link MessageDigest}.
     */
    public static HashFunction md5() {
        return Md5Holder.MD5;
    }

    private static class Md5Holder {
        static final HashFunction MD5 = new MessageDigestHashFunction("MD5", "Hashing.md5()");
    }

    /**
     * Returns a hash function implementing the SHA-1 algorithm (160 hash bits) by delegating to the
     * SHA-1 {@link MessageDigest}.
     */
    public static HashFunction sha1() {
        return Sha1Holder.SHA_1;
    }

    private static class Sha1Holder {
        static final HashFunction SHA_1 = new MessageDigestHashFunction("SHA-1", "Hashing.sha1()");
    }

    /**
     * Returns a hash function implementing the SHA-256 algorithm (256 hash bits) by delegating to
     * the SHA-256 {@link MessageDigest}.
     */
    public static HashFunction sha256() {
        return Sha256Holder.SHA_256;
    }

    private static class Sha256Holder {
        static final HashFunction SHA_256 = new MessageDigestHashFunction("SHA-256", "Hashing.sha256()");
    }

    /**
     * Returns a hash function implementing the SHA-384 algorithm (384 hash bits) by delegating to
     * the SHA-384 {@link MessageDigest}.
     *
     * @since 19.0
     */
    public static HashFunction sha384() {
        return Sha384Holder.SHA_384;
    }

    private static class Sha384Holder {
        static final HashFunction SHA_384 = new MessageDigestHashFunction("SHA-384", "Hashing.sha384()");
    }

    /**
     * Returns a hash function implementing the SHA-512 algorithm (512 hash bits) by delegating to the
     * SHA-512 {@link MessageDigest}.
     */
    public static HashFunction sha512() {
        return Sha512Holder.SHA_512;
    }

    private static class Sha512Holder {
        static final HashFunction SHA_512 = new MessageDigestHashFunction("SHA-512", "Hashing.sha512()");
    }

    /**
     * Returns a hash function implementing the Message Authentication Code (MAC) algorithm, using
     * the MD5 (128 hash bits) hash function and the given secret key.
     *
     *
     * @param key the secret key
     * @throws IllegalArgumentException if the given key is inappropriate for initializing this MAC
     * @since 20.0
     */
    public static HashFunction hmacMd5(Key key) {
        return new MacHashFunction("HmacMD5", key, hmacToString("hmacMd5", key));
    }

    /**
     * Returns a hash function implementing the Message Authentication Code (MAC) algorithm, using
     * the MD5 (128 hash bits) hash function and a {@link SecretSpecKey} created from the given
     * byte array and the MD5 algorithm.
     *
     *
     * @param key the key material of the secret key
     * @since 20.0
     */
    public static HashFunction hmacMd5(byte[] key) {
        return hmacMd5(new SecretKeySpec(checkNotNull(key), "HmacMD5"));
    }

    /**
     * Returns a hash function implementing the Message Authentication Code (MAC) algorithm, using
     * the SHA-1 (160 hash bits) hash function and the given secret key.
     *
     *
     * @param key the secret key
     * @throws IllegalArgumentException if the given key is inappropriate for initializing this MAC
     * @since 20.0
     */
    public static HashFunction hmacSha1(Key key) {
        return new MacHashFunction("HmacSHA1", key, hmacToString("hmacSha1", key));
    }

    /**
     * Returns a hash function implementing the Message Authentication Code (MAC) algorithm, using
     * the SHA-1 (160 hash bits) hash function and a {@link SecretSpecKey} created from the given
     * byte array and the SHA-1 algorithm.
     *
     *
     * @param key the key material of the secret key
     * @since 20.0
     */
    public static HashFunction hmacSha1(byte[] key) {
        return hmacSha1(new SecretKeySpec(checkNotNull(key), "HmacSHA1"));
    }

    /**
     * Returns a hash function implementing the Message Authentication Code (MAC) algorithm, using
     * the SHA-256 (256 hash bits) hash function and the given secret key.
     *
     *
     * @param key the secret key
     * @throws IllegalArgumentException if the given key is inappropriate for initializing this MAC
     * @since 20.0
     */
    public static HashFunction hmacSha256(Key key) {
        return new MacHashFunction("HmacSHA256", key, hmacToString("hmacSha256", key));
    }

    /**
     * Returns a hash function implementing the Message Authentication Code (MAC) algorithm, using
     * the SHA-256 (256 hash bits) hash function and a {@link SecretSpecKey} created from the given
     * byte array and the SHA-256 algorithm.
     *
     *
     * @param key the key material of the secret key
     * @since 20.0
     */
    public static HashFunction hmacSha256(byte[] key) {
        return hmacSha256(new SecretKeySpec(checkNotNull(key), "HmacSHA256"));
    }

    /**
     * Returns a hash function implementing the Message Authentication Code (MAC) algorithm, using
     * the SHA-512 (512 hash bits) hash function and the given secret key.
     *
     *
     * @param key the secret key
     * @throws IllegalArgumentException if the given key is inappropriate for initializing this MAC
     * @since 20.0
     */
    public static HashFunction hmacSha512(Key key) {
        return new MacHashFunction("HmacSHA512", key, hmacToString("hmacSha512", key));
    }

    /**
     * Returns a hash function implementing the Message Authentication Code (MAC) algorithm, using
     * the SHA-512 (512 hash bits) hash function and a {@link SecretSpecKey} created from the given
     * byte array and the SHA-512 algorithm.
     *
     *
     * @param key the key material of the secret key
     * @since 20.0
     */
    public static HashFunction hmacSha512(byte[] key) {
        return hmacSha512(new SecretKeySpec(checkNotNull(key), "HmacSHA512"));
    }

    private static String hmacToString(String methodName, Key key) {
        return String.format("Hashing.%s(Key[algorithm=%s, format=%s])", methodName, key.getAlgorithm(),
                key.getFormat());
    }

    /**
     * Returns a hash function implementing the CRC32C checksum algorithm (32 hash bits) as described
     * by RFC 3720, Section 12.1.
     *
     * @since 18.0
     */
    public static HashFunction crc32c() {
        return Crc32cHolder.CRC_32_C;
    }

    private static final class Crc32cHolder {
        static final HashFunction CRC_32_C = new Crc32cHashFunction();
    }

    /**
     * Returns a hash function implementing the CRC-32 checksum algorithm (32 hash bits) by delegating
     * to the {@link CRC32} {@link Checksum}.
     *
     * <p>To get the {@code long} value equivalent to {@link Checksum#getValue()} for a
     * {@code HashCode} produced by this function, use {@link HashCode#padToLong()}.
     *
     * @since 14.0
     */
    public static HashFunction crc32() {
        return Crc32Holder.CRC_32;
    }

    private static class Crc32Holder {
        static final HashFunction CRC_32 = checksumHashFunction(ChecksumType.CRC_32, "Hashing.crc32()");
    }

    /**
     * Returns a hash function implementing the Adler-32 checksum algorithm (32 hash bits) by
     * delegating to the {@link Adler32} {@link Checksum}.
     *
     * <p>To get the {@code long} value equivalent to {@link Checksum#getValue()} for a
     * {@code HashCode} produced by this function, use {@link HashCode#padToLong()}.
     *
     * @since 14.0
     */
    public static HashFunction adler32() {
        return Adler32Holder.ADLER_32;
    }

    private static class Adler32Holder {
        static final HashFunction ADLER_32 = checksumHashFunction(ChecksumType.ADLER_32, "Hashing.adler32()");
    }

    private static HashFunction checksumHashFunction(ChecksumType type, String toString) {
        return new ChecksumHashFunction(type, type.bits, toString);
    }

    enum ChecksumType implements Supplier<Checksum> {
        CRC_32(32) {
            @Override
            public Checksum get() {
                return new CRC32();
            }
        },
        ADLER_32(32) {
            @Override
            public Checksum get() {
                return new Adler32();
            }
        };

        private final int bits;

        ChecksumType(int bits) {
            this.bits = bits;
        }

        @Override
        public abstract Checksum get();
    }

    /**
     * Assigns to {@code hashCode} a "bucket" in the range {@code [0, buckets)}, in a uniform manner
     * that minimizes the need for remapping as {@code buckets} grows. That is, {@code
     * consistentHash(h, n)} equals:
     *
     * <ul>
     * <li>{@code n - 1}, with approximate probability {@code 1/n}
     * <li>{@code consistentHash(h, n - 1)}, otherwise (probability {@code 1 - 1/n})
     * </ul>
     *
     * <p>This method is suitable for the common use case of dividing work among buckets that meet the
     * following conditions:
     *
     * <ul>
     * <li>You want to assign the same fraction of inputs to each bucket.
     * <li>When you reduce the number of buckets, you can accept that the most recently added buckets
     * will be removed first. More concretely, if you are dividing traffic among tasks, you can
     * decrease the number of tasks from 15 and 10, killing off the final 5 tasks, and {@code
     * consistentHash} will handle it. If, however, you are dividing traffic among servers {@code
     * alpha}, {@code bravo}, and {@code charlie} and you occasionally need to take each of the
     * servers offline, {@code consistentHash} will be a poor fit: It provides no way for you to
     * specify which of the three buckets is disappearing. Thus, if your buckets change from {@code
     * [alpha, bravo, charlie]} to {@code [bravo, charlie]}, it will assign all the old {@code alpha}
     * traffic to {@code bravo} and all the old {@code bravo} traffic to {@code charlie}, rather than
     * letting {@code bravo} keep its traffic.
     * </ul>
     *
     *
     * <p>See the <a href="http://en.wikipedia.org/wiki/Consistent_hashing">Wikipedia article on
     * consistent hashing</a> for more information.
     */
    public static int consistentHash(HashCode hashCode, int buckets) {
        return consistentHash(hashCode.padToLong(), buckets);
    }

    /**
     * Assigns to {@code input} a "bucket" in the range {@code [0, buckets)}, in a uniform manner that
     * minimizes the need for remapping as {@code buckets} grows. That is, {@code consistentHash(h,
     * n)} equals:
     *
     * <ul>
     * <li>{@code n - 1}, with approximate probability {@code 1/n}
     * <li>{@code consistentHash(h, n - 1)}, otherwise (probability {@code 1 - 1/n})
     * </ul>
     *
     * <p>This method is suitable for the common use case of dividing work among buckets that meet the
     * following conditions:
     *
     * <ul>
     * <li>You want to assign the same fraction of inputs to each bucket.
     * <li>When you reduce the number of buckets, you can accept that the most recently added buckets
     * will be removed first. More concretely, if you are dividing traffic among tasks, you can
     * decrease the number of tasks from 15 and 10, killing off the final 5 tasks, and {@code
     * consistentHash} will handle it. If, however, you are dividing traffic among servers {@code
     * alpha}, {@code bravo}, and {@code charlie} and you occasionally need to take each of the
     * servers offline, {@code consistentHash} will be a poor fit: It provides no way for you to
     * specify which of the three buckets is disappearing. Thus, if your buckets change from {@code
     * [alpha, bravo, charlie]} to {@code [bravo, charlie]}, it will assign all the old {@code alpha}
     * traffic to {@code bravo} and all the old {@code bravo} traffic to {@code charlie}, rather than
     * letting {@code bravo} keep its traffic.
     * </ul>
     *
     *
     * <p>See the <a href="http://en.wikipedia.org/wiki/Consistent_hashing">Wikipedia article on
     * consistent hashing</a> for more information.
     */
    public static int consistentHash(long input, int buckets) {
        checkArgument(buckets > 0, "buckets must be positive: %s", buckets);
        LinearCongruentialGenerator generator = new LinearCongruentialGenerator(input);
        int candidate = 0;
        int next;

        // Jump from bucket to bucket until we go out of range
        while (true) {
            next = (int) ((candidate + 1) / generator.nextDouble());
            if (next >= 0 && next < buckets) {
                candidate = next;
            } else {
                return candidate;
            }
        }
    }

    /**
     * Returns a hash code, having the same bit length as each of the input hash codes,
     * that combines the information of these hash codes in an ordered fashion. That
     * is, whenever two equal hash codes are produced by two calls to this method, it
     * is <i>as likely as possible</i> that each was computed from the <i>same</i>
     * input hash codes in the <i>same</i> order.
     *
     * @throws IllegalArgumentException if {@code hashCodes} is empty, or the hash codes
     *     do not all have the same bit length
     */
    public static HashCode combineOrdered(Iterable<HashCode> hashCodes) {
        Iterator<HashCode> iterator = hashCodes.iterator();
        checkArgument(iterator.hasNext(), "Must be at least 1 hash code to combine.");
        int bits = iterator.next().bits();
        byte[] resultBytes = new byte[bits / 8];
        for (HashCode hashCode : hashCodes) {
            byte[] nextBytes = hashCode.asBytes();
            checkArgument(nextBytes.length == resultBytes.length, "All hashcodes must have the same bit length.");
            for (int i = 0; i < nextBytes.length; i++) {
                resultBytes[i] = (byte) (resultBytes[i] * 37 ^ nextBytes[i]);
            }
        }
        return HashCode.fromBytesNoCopy(resultBytes);
    }

    /**
     * Returns a hash code, having the same bit length as each of the input hash codes,
     * that combines the information of these hash codes in an unordered fashion. That
     * is, whenever two equal hash codes are produced by two calls to this method, it
     * is <i>as likely as possible</i> that each was computed from the <i>same</i>
     * input hash codes in <i>some</i> order.
     *
     * @throws IllegalArgumentException if {@code hashCodes} is empty, or the hash codes
     *     do not all have the same bit length
     */
    public static HashCode combineUnordered(Iterable<HashCode> hashCodes) {
        Iterator<HashCode> iterator = hashCodes.iterator();
        checkArgument(iterator.hasNext(), "Must be at least 1 hash code to combine.");
        byte[] resultBytes = new byte[iterator.next().bits() / 8];
        for (HashCode hashCode : hashCodes) {
            byte[] nextBytes = hashCode.asBytes();
            checkArgument(nextBytes.length == resultBytes.length, "All hashcodes must have the same bit length.");
            for (int i = 0; i < nextBytes.length; i++) {
                resultBytes[i] += nextBytes[i];
            }
        }
        return HashCode.fromBytesNoCopy(resultBytes);
    }

    /**
     * Checks that the passed argument is positive, and ceils it to a multiple of 32.
     */
    static int checkPositiveAndMakeMultipleOf32(int bits) {
        checkArgument(bits > 0, "Number of bits must be positive");
        return (bits + 31) & ~31;
    }

    /**
     * Returns a hash function which computes its hash code by concatenating the hash codes of the
     * underlying hash functions together. This can be useful if you need to generate hash codes
     * of a specific length.
     *
     * <p>For example, if you need 1024-bit hash codes, you could join two {@link Hashing#sha512}
     * hash functions together: {@code Hashing.concatenating(Hashing.sha512(), Hashing.sha512())}.
     *
     * @since 19.0
     */
    public static HashFunction concatenating(HashFunction first, HashFunction second, HashFunction... rest) {
        // We can't use Lists.asList() here because there's no hash->collect dependency
        List<HashFunction> list = new ArrayList<HashFunction>();
        list.add(first);
        list.add(second);
        for (HashFunction hashFunc : rest) {
            list.add(hashFunc);
        }
        return new ConcatenatedHashFunction(list.toArray(new HashFunction[0]));
    }

    /**
     * Returns a hash function which computes its hash code by concatenating the hash codes of the
     * underlying hash functions together. This can be useful if you need to generate hash codes
     * of a specific length.
     *
     * <p>For example, if you need 1024-bit hash codes, you could join two {@link Hashing#sha512}
     * hash functions together: {@code Hashing.concatenating(Hashing.sha512(), Hashing.sha512())}.
     *
     * @since 19.0
     */
    public static HashFunction concatenating(Iterable<HashFunction> hashFunctions) {
        checkNotNull(hashFunctions);
        // We can't use Iterables.toArray() here because there's no hash->collect dependency
        List<HashFunction> list = new ArrayList<HashFunction>();
        for (HashFunction hashFunction : hashFunctions) {
            list.add(hashFunction);
        }
        checkArgument(list.size() > 0, "number of hash functions (%s) must be > 0", list.size());
        return new ConcatenatedHashFunction(list.toArray(new HashFunction[0]));
    }

    private static final class ConcatenatedHashFunction extends AbstractCompositeHashFunction {
        private final int bits;

        private ConcatenatedHashFunction(HashFunction... functions) {
            super(functions);
            int bitSum = 0;
            for (HashFunction function : functions) {
                bitSum += function.bits();
                checkArgument(function.bits() % 8 == 0,
                        "the number of bits (%s) in hashFunction (%s) must be divisible by 8", function.bits(),
                        function);
            }
            this.bits = bitSum;
        }

        @Override
        HashCode makeHash(Hasher[] hashers) {
            byte[] bytes = new byte[bits / 8];
            int i = 0;
            for (Hasher hasher : hashers) {
                HashCode newHash = hasher.hash();
                i += newHash.writeBytesTo(bytes, i, newHash.bits() / 8);
            }
            return HashCode.fromBytesNoCopy(bytes);
        }

        @Override
        public int bits() {
            return bits;
        }

        @Override
        public boolean equals(@Nullable Object object) {
            if (object instanceof ConcatenatedHashFunction) {
                ConcatenatedHashFunction other = (ConcatenatedHashFunction) object;
                return Arrays.equals(functions, other.functions);
            }
            return false;
        }

        @Override
        public int hashCode() {
            return Arrays.hashCode(functions) * 31 + bits;
        }
    }

    /**
     * Linear CongruentialGenerator to use for consistent hashing.
     * See http://en.wikipedia.org/wiki/Linear_congruential_generator
     */
    private static final class LinearCongruentialGenerator {
        private long state;

        public LinearCongruentialGenerator(long seed) {
            this.state = seed;
        }

        public double nextDouble() {
            state = 2862933555777941757L * state + 1;
            return ((double) ((int) (state >>> 33) + 1)) / (0x1.0p31);
        }
    }

    private Hashing() {
    }
}