src/java.base/share/classes/java/util/random/Xoroshiro128StarStar.java
branchJDK-8193209-branch
changeset 59088 da026c172c1e
equal deleted inserted replaced
59087:effb66aab08b 59088:da026c172c1e
       
     1 /*
       
     2  * Copyright (c) 2013, 2019, Oracle and/or its affiliates. All rights reserved.
       
     3  * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
       
     4  *
       
     5  * This code is free software; you can redistribute it and/or modify it
       
     6  * under the terms of the GNU General Public License version 2 only, as
       
     7  * published by the Free Software Foundation.  Oracle designates this
       
     8  * particular file as subject to the "Classpath" exception as provided
       
     9  * by Oracle in the LICENSE file that accompanied this code.
       
    10  *
       
    11  * This code is distributed in the hope that it will be useful, but WITHOUT
       
    12  * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
       
    13  * FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
       
    14  * version 2 for more details (a copy is included in the LICENSE file that
       
    15  * accompanied this code).
       
    16  *
       
    17  * You should have received a copy of the GNU General Public License version
       
    18  * 2 along with this work; if not, write to the Free Software Foundation,
       
    19  * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
       
    20  *
       
    21  * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
       
    22  * or visit www.oracle.com if you need additional information or have any
       
    23  * questions.
       
    24  */
       
    25 
       
    26 package java.util.random;
       
    27 
       
    28 import java.math.BigInteger;
       
    29 import java.util.concurrent.atomic.AtomicLong;
       
    30 import java.util.random.RandomGenerator.LeapableGenerator;
       
    31 
       
    32 /**
       
    33  * A generator of uniform pseudorandom values applicable for use in
       
    34  * (among other contexts) isolated parallel computations that may
       
    35  * generate subtasks.  Class {@link Xoroshiro128StarStar} implements
       
    36  * interfaces {@link RandomGenerator} and {@link LeapableGenerator},
       
    37  * and therefore supports methods for producing pseudorandomly chosen
       
    38  * numbers of type {@code int}, {@code long}, {@code float}, and {@code double}
       
    39  * as well as creating new {@link Xoroshiro128StarStar} objects
       
    40  * by "jumping" or "leaping".
       
    41  * <p>
       
    42  * Series of generated values pass the TestU01 BigCrush and PractRand test suites
       
    43  * that measure independence and uniformity properties of random number generators.
       
    44  * <p>
       
    45  * The class {@link Xoroshiro128StarStar} uses the {@code xoroshiro128} algorithm,
       
    46  * version 1.0 (parameters 24, 16, 37), with the "**" scrambler (a mixing function).
       
    47  * Its state consists of two {@code long} fields {@code x0} and {@code x1},
       
    48  * which can take on any values provided that they are not both zero.
       
    49  * The period of this generator is 2<sup>128</sup>-1.
       
    50  * <p>
       
    51  * The 64-bit values produced by the {@code nextLong()} method are equidistributed.
       
    52  * To be precise, over the course of the cycle of length 2<sup>128</sup>-1,
       
    53  * each nonzero {@code long} value is generated 2<sup>64</sup> times,
       
    54  * but the value 0 is generated only 2<sup>64</sup>-1 times.
       
    55  * The values produced by the {@code nextInt()}, {@code nextFloat()}, and {@code nextDouble()}
       
    56  * methods are likewise equidistributed.
       
    57  * <p>
       
    58  * In fact, the 64-bit values produced by the {@code nextLong()} method are 2-equidistributed.
       
    59  * To be precise: consider the (overlapping) length-2 subsequences of the cycle of 64-bit
       
    60  * values produced by {@code nextLong()} (assuming no other methods are called that would
       
    61  * affect the state).  There are 2<sup>128</sup>-1 such subsequences, and each subsequence,
       
    62  * which consists of 2 64-bit values, can have one of 2<sup>128</sup> values.  Of those
       
    63  * 2<sup>128</sup> subsequence values, each one is generated exactly once over the course
       
    64  * of the entire cycle, except that the subsequence (0, 0) never appears.
       
    65  * The values produced by the {@code nextInt()}, {@code nextFloat()}, and {@code nextDouble()}
       
    66  * methods are likewise 2-equidistributed, but note that that the subsequence (0, 0)
       
    67  * can also appear (but occurring somewhat less frequently than all other subsequences),
       
    68  * because the values produced by those methods have fewer than 64 randomly chosen bits.
       
    69  * <p>
       
    70  * Instances {@link Xoroshiro128StarStar} are <em>not</em> thread-safe.
       
    71  * They are designed to be used so that each thread as its own instance.
       
    72  * The methods {@link #jump} and {@link #leap} and {@link #jumps} and {@link #leaps}
       
    73  * can be used to construct new instances of {@link Xoroshiro128StarStar} that traverse
       
    74  * other parts of the state cycle.
       
    75  * <p>
       
    76  * Instances of {@link Xoroshiro128StarStar} are not cryptographically
       
    77  * secure.  Consider instead using {@link java.security.SecureRandom}
       
    78  * in security-sensitive applications. Additionally,
       
    79  * default-constructed instances do not use a cryptographically random
       
    80  * seed unless the {@linkplain System#getProperty system property}
       
    81  * {@code java.util.secureRandomSeed} is set to {@code true}.
       
    82  *
       
    83  * @since 14
       
    84  */
       
    85 public final class Xoroshiro128StarStar implements LeapableGenerator {
       
    86 
       
    87     /*
       
    88      * Implementation Overview.
       
    89      *
       
    90      * This is an implementation of the xoroshiro128** algorithm written
       
    91      * in 2016 by David Blackman and Sebastiano Vigna (vigna@acm.org),
       
    92      * and updated with improved parameters in 2018.
       
    93      * See http://xoshiro.di.unimi.it and these two papers:
       
    94      *
       
    95      *    Sebastiano Vigna. 2016. An Experimental Exploration of Marsaglia's
       
    96      *    xorshift Generators, Scrambled. ACM Transactions on Mathematical
       
    97      *    Software 42, 4, Article 30 (June 2016), 23 pages.
       
    98      *    https://doi.org/10.1145/2845077
       
    99      *
       
   100      *    David Blackman and Sebastiano Vigna.  2018.  Scrambled Linear
       
   101      *    Pseudorandom Number Generators.  Computing Research Repository (CoRR).
       
   102      *    http://arxiv.org/abs/1805.01407
       
   103      *
       
   104      * The jump operation moves the current generator forward by 2*64
       
   105      * steps; this has the same effect as calling nextLong() 2**64
       
   106      * times, but is much faster.  Similarly, the leap operation moves
       
   107      * the current generator forward by 2*96 steps; this has the same
       
   108      * effect as calling nextLong() 2**96 times, but is much faster.
       
   109      * The copy method may be used to make a copy of the current
       
   110      * generator.  Thus one may repeatedly and cumulatively copy and
       
   111      * jump to produce a sequence of generators whose states are well
       
   112      * spaced apart along the overall state cycle (indeed, the jumps()
       
   113      * and leaps() methods each produce a stream of such generators).
       
   114      * The generators can then be parceled out to other threads.
       
   115      *
       
   116      * File organization: First the non-public methods that constitute the
       
   117      * main algorithm, then the public methods.  Note that many methods are
       
   118      * defined by classes {@link AbstractJumpableGenerator} and {@link AbstractGenerator}.
       
   119      */
       
   120 
       
   121     /* ---------------- static fields ---------------- */
       
   122 
       
   123     /**
       
   124      * The seed generator for default constructors.
       
   125      */
       
   126     private static final AtomicLong DEFAULT_GEN = new AtomicLong(RandomSupport.initialSeed());
       
   127 
       
   128     /*
       
   129      * The period of this generator, which is 2**128 - 1.
       
   130      */
       
   131     private static final BigInteger PERIOD =
       
   132         BigInteger.ONE.shiftLeft(128).subtract(BigInteger.ONE);
       
   133 
       
   134     /* ---------------- instance fields ---------------- */
       
   135 
       
   136     /**
       
   137      * The per-instance state.
       
   138      * At least one of the two fields x0 and x1 must be nonzero.
       
   139      */
       
   140     private long x0, x1;
       
   141 
       
   142     /* ---------------- constructors ---------------- */
       
   143 
       
   144     /**
       
   145      * Basic constructor that initializes all fields from parameters.
       
   146      * It then adjusts the field values if necessary to ensure that
       
   147      * all constraints on the values of fields are met.
       
   148       *
       
   149      * @param x0 first word of the initial state
       
   150      * @param x1 second word of the initial state
       
   151     */
       
   152     public Xoroshiro128StarStar(long x0, long x1) {
       
   153         this.x0 = x0;
       
   154         this.x1 = x1;
       
   155         // If x0 and x1 are both zero, we must choose nonzero values.
       
   156         if ((x0 | x1) == 0) {
       
   157             this.x0 = RandomSupport.GOLDEN_RATIO_64;
       
   158             this.x1 = RandomSupport.SILVER_RATIO_64;
       
   159         }
       
   160     }
       
   161 
       
   162     /**
       
   163      * Creates a new instance of {@link Xoroshiro128StarStar} using the
       
   164      * specified {@code long} value as the initial seed. Instances of
       
   165      * {@link Xoroshiro128StarStar} created with the same seed in the same
       
   166      * program generate identical sequences of values.
       
   167      *
       
   168      * @param seed the initial seed
       
   169      */
       
   170     public Xoroshiro128StarStar(long seed) {
       
   171         // Using a value with irregularly spaced 1-bits to xor the seed
       
   172         // argument tends to improve "pedestrian" seeds such as 0 or
       
   173         // other small integers.  We may as well use SILVER_RATIO_64.
       
   174         //
       
   175         // The x values are then filled in as if by a SplitMix PRNG with
       
   176         // GOLDEN_RATIO_64 as the gamma value and Stafford13 as the mixer.
       
   177         this(RandomSupport.mixStafford13(seed ^= RandomSupport.SILVER_RATIO_64),
       
   178              RandomSupport.mixStafford13(seed + RandomSupport.GOLDEN_RATIO_64));
       
   179     }
       
   180 
       
   181     /**
       
   182      * Creates a new instance of {@link Xoroshiro128StarStar} that is likely to
       
   183      * generate sequences of values that are statistically independent
       
   184      * of those of any other instances in the current program execution,
       
   185      * but may, and typically does, vary across program invocations.
       
   186      */
       
   187     public Xoroshiro128StarStar() {
       
   188         // Using GOLDEN_RATIO_64 here gives us a good Weyl sequence of values.
       
   189         this(DEFAULT_GEN.getAndAdd(RandomSupport.GOLDEN_RATIO_64));
       
   190     }
       
   191 
       
   192     /**
       
   193      * Creates a new instance of {@link Xoroshiro128StarStar} using the specified array of
       
   194      * initial seed bytes. Instances of {@link Xoroshiro128StarStar} created with the same
       
   195      * seed array in the same program execution generate identical sequences of values.
       
   196      *
       
   197      * @param seed the initial seed
       
   198      */
       
   199     public Xoroshiro128StarStar(byte[] seed) {
       
   200         // Convert the seed to 2 long values, which are not both zero.
       
   201         long[] data = RandomSupport.convertSeedBytesToLongs(seed, 2, 2);
       
   202         long x0 = data[0], x1 = data[1];
       
   203         this.x0 = x0;
       
   204         this.x1 = x1;
       
   205     }
       
   206 
       
   207     /* ---------------- public methods ---------------- */
       
   208 
       
   209     public Xoroshiro128StarStar copy() { return new Xoroshiro128StarStar(x0, x1); }
       
   210 
       
   211     /*
       
   212      * To the extent possible under law, the author has dedicated all copyright and related and
       
   213      * neighboring rights to this software to the public domain worldwide. This software is
       
   214      * distributed without any warranty.
       
   215      * <p>
       
   216      * See <http://creativecommons.org/publicdomain/zero/1.0/>.
       
   217      */
       
   218 
       
   219     /*
       
   220      * This is the successor to xorshift128+. It is the fastest full-period generator passing
       
   221      * BigCrush without systematic failures, but due to the relatively short period it is acceptable
       
   222      * only for applications with a mild amount of parallelism; otherwise, use a xorshift1024*
       
   223      * generator.
       
   224      * <p>
       
   225      * Beside passing BigCrush, this generator passes the PractRand test suite up to (and included)
       
   226      * 16TB, with the exception of binary rank tests, which fail due to the lowest bit being an
       
   227      * LFSR; all other bits pass all tests. We suggest to use a sign test to extract a random
       
   228      * Boolean value.
       
   229      * <p>
       
   230      * Note that the generator uses a simulated rotate operation, which most C compilers will turn
       
   231      * into a single instruction. In Java, you can use Long.rotateLeft(). In languages that do not
       
   232      * make low-level rotation instructions accessible xorshift128+ could be faster.
       
   233      * <p>
       
   234      * The state must be seeded so that it is not everywhere zero. If you have a 64-bit seed, we
       
   235      * suggest to seed a splitmix64 generator and use its output to fill s.
       
   236      */
       
   237 
       
   238     /**
       
   239      * Returns a pseudorandom {@code long} value.
       
   240      *
       
   241      * @return a pseudorandom {@code long} value
       
   242      */
       
   243     public long nextLong() {
       
   244         final long s0 = x0;
       
   245         long s1 = x1;
       
   246 	// Compute the result based on current state information
       
   247 	// (this allows the computation to be overlapped with state update).
       
   248         final long result = Long.rotateLeft(s0 * 5, 7) * 9;  // "starstar" mixing function
       
   249 
       
   250         s1 ^= s0;
       
   251         x0 = Long.rotateLeft(s0, 24) ^ s1 ^ (s1 << 16); // a, b
       
   252         x1 = Long.rotateLeft(s1, 37); // c
       
   253 
       
   254         return result;
       
   255     }
       
   256 
       
   257     public BigInteger period() {
       
   258         return PERIOD;
       
   259     }
       
   260 
       
   261     public double defaultJumpDistance() {
       
   262         return 0x1.0p64;
       
   263     }
       
   264 
       
   265     public double defaultLeapDistance() {
       
   266         return 0x1.0p96;
       
   267     }
       
   268 
       
   269     private static final long[] JUMP_TABLE = { 0xdf900294d8f554a5L, 0x170865df4b3201fcL };
       
   270 
       
   271     private static final long[] LEAP_TABLE = { 0xd2a98b26625eee7bL, 0xdddf9b1090aa7ac1L };
       
   272 
       
   273     /**
       
   274      * This is the jump function for the generator. It is equivalent to 2**64 calls to nextLong();
       
   275      * it can be used to generate 2**64 non-overlapping subsequences for parallel computations.
       
   276      */
       
   277     public void jump() {
       
   278         jumpAlgorithm(JUMP_TABLE);
       
   279     }
       
   280 
       
   281     /**
       
   282      * This is the long-jump function for the generator. It is equivalent to 2**96 calls to next();
       
   283      * it can be used to generate 2**32 starting points, from each of which jump() will generate
       
   284      * 2**32 non-overlapping subsequences for parallel distributed computations.
       
   285      */
       
   286     public void leap() {
       
   287         jumpAlgorithm(LEAP_TABLE);
       
   288     }
       
   289 
       
   290     private void jumpAlgorithm(long[] table) {
       
   291         long s0 = 0, s1 = 0;
       
   292         for (int i = 0; i < table.length; i++) {
       
   293             for (int b = 0; b < 64; b++) {
       
   294                 if ((table[i] & (1L << b)) != 0) {
       
   295                     s0 ^= x0;
       
   296                     s1 ^= x1;
       
   297                 }
       
   298                 nextLong();
       
   299             }
       
   300             x0 = s0;
       
   301             x1 = s1;
       
   302         }
       
   303     }
       
   304 }