/* * Copyright (c) 2021, Oracle and/or its affiliates. All rights reserved. * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. * * This code is free software; you can redistribute it and/or modify it * under the terms of the GNU General Public License version 2 only, as * published by the Free Software Foundation. Oracle designates this * particular file as subject to the "Classpath" exception as provided * by Oracle in the LICENSE file that accompanied this code. * * This code 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 General Public License * version 2 for more details (a copy is included in the LICENSE file that * accompanied this code). * * You should have received a copy of the GNU General Public License version * 2 along with this work; if not, write to the Free Software Foundation, * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA. * * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA * or visit www.oracle.com if you need additional information or have any * questions. */ package jdk.random; import java.util.concurrent.atomic.AtomicLong; import java.util.random.RandomGenerator; import java.util.random.RandomGenerator.LeapableGenerator; import jdk.internal.util.random.RandomSupport; import jdk.internal.util.random.RandomSupport.RandomGeneratorProperties; /** * A "jumpable and leapable" pseudorandom number generator (PRNG) whose period * is roughly 2256. Class {@link Xoshiro256PlusPlus} implements * interfaces {@link RandomGenerator} and {@link LeapableGenerator}, * and therefore supports methods for producing pseudorandomly chosen * values of type {@code int}, {@code long}, {@code float}, {@code double}, * and {@code boolean} (and for producing streams of pseudorandomly chosen * numbers of type {@code int}, {@code long}, and {@code double}), * as well as methods for creating new {@link Xoshiro256PlusPlus} objects * by moving forward either a large distance (2128) or a very large * distance (2192) around the state cycle. *

* Series of generated values pass the TestU01 BigCrush and PractRand test suites * that measure independence and uniformity properties of random number generators. * (Most recently validated with * version 1.2.3 of TestU01 * and version 0.90 of PractRand. * Note that TestU01 BigCrush was used to test not only values produced by the {@code nextLong()} * method but also the result of bit-reversing each value produced by {@code nextLong()}.) * These tests validate only the methods for certain * types and ranges, but similar properties are expected to hold, at * least approximately, for others as well. *

* The class {@link Xoshiro256PlusPlus} uses the {@code xoshiro256} algorithm, * version 1.0 (parameters 17, 45), with the "++" scrambler that computes * {@code Long.rotateLeft(s0 + s3, 23) + s0}. * (See David Blackman and Sebastiano Vigna, "Scrambled Linear Pseudorandom * Number Generators," ACM Transactions on Mathematical Software, 2021.) * Its state consists of four {@code long} fields {@code x0}, {@code x1}, {@code x2}, * and {@code x3}, which can take on any values provided that they are not all zero. * The period of this generator is 2256-1. *

* The 64-bit values produced by the {@code nextLong()} method are equidistributed. * To be precise, over the course of the cycle of length 2256-1, * each nonzero {@code long} value is generated 2192 times, * but the value 0 is generated only 2192-1 times. * The values produced by the {@code nextInt()}, {@code nextFloat()}, and {@code nextDouble()} * methods are likewise equidistributed. * Moreover, the 64-bit values produced by the {@code nextLong()} method are 3-equidistributed. *

* Instances {@link Xoshiro256PlusPlus} are not thread-safe. * They are designed to be used so that each thread as its own instance. * The methods {@link #jump} and {@link #leap} and {@link #jumps} and {@link #leaps} * can be used to construct new instances of {@link Xoshiro256PlusPlus} that traverse * other parts of the state cycle. *

* Instances of {@link Xoshiro256PlusPlus} are not cryptographically * secure. Consider instead using {@link java.security.SecureRandom} * in security-sensitive applications. Additionally, * default-constructed instances do not use a cryptographically random * seed unless the {@linkplain System#getProperty system property} * {@code java.util.secureRandomSeed} is set to {@code true}. * * @since 17 * */ @RandomGeneratorProperties( name = "Xoshiro256PlusPlus", group = "Xoshiro", i = 256, j = 1, k = 0, equidistribution = 3 ) public final class Xoshiro256PlusPlus implements LeapableGenerator { /* * Implementation Overview. * * This is an implementation of the xoshiro256++ algorithm version 1.0, * written in 2019 by David Blackman and Sebastiano Vigna (vigna@acm.org). * * The jump operation moves the current generator forward by 2*128 * steps; this has the same effect as calling nextLong() 2**128 * times, but is much faster. Similarly, the leap operation moves * the current generator forward by 2*192 steps; this has the same * effect as calling nextLong() 2**192 times, but is much faster. * The copy method may be used to make a copy of the current * generator. Thus one may repeatedly and cumulatively copy and * jump to produce a sequence of generators whose states are well * spaced apart along the overall state cycle (indeed, the jumps() * and leaps() methods each produce a stream of such generators). * The generators can then be parceled out to other threads. * * File organization: First static fields, then instance * fields, then constructors, then instance methods. */ /* ---------------- static fields ---------------- */ /** * The seed generator for default constructors. */ private static final AtomicLong DEFAULT_GEN = new AtomicLong(RandomSupport.initialSeed()); /* ---------------- instance fields ---------------- */ /** * The per-instance state. * At least one of the four fields x0, x1, x2, and x3 must be nonzero. */ private long x0, x1, x2, x3; /* ---------------- constructors ---------------- */ /** * Basic constructor that initializes all fields from parameters. * It then adjusts the field values if necessary to ensure that * all constraints on the values of fields are met. * * @param x0 first word of the initial state * @param x1 second word of the initial state * @param x2 third word of the initial state * @param x3 fourth word of the initial state */ public Xoshiro256PlusPlus(long x0, long x1, long x2, long x3) { this.x0 = x0; this.x1 = x1; this.x2 = x2; this.x3 = x3; // If x0, x1, x2, and x3 are all zero, we must choose nonzero values. if ((x0 | x1 | x2 | x3) == 0) { // At least three of the four values generated here will be nonzero. this.x0 = RandomSupport.mixStafford13(x0 += RandomSupport.GOLDEN_RATIO_64); this.x1 = (x0 += RandomSupport.GOLDEN_RATIO_64); this.x2 = (x0 += RandomSupport.GOLDEN_RATIO_64); this.x3 = (x0 += RandomSupport.GOLDEN_RATIO_64); } } /** * Creates a new instance of {@link Xoshiro256PlusPlus} using the * specified {@code long} value as the initial seed. Instances of * {@link Xoshiro256PlusPlus} created with the same seed in the same * program generate identical sequences of values. * * @param seed the initial seed */ public Xoshiro256PlusPlus(long seed) { // Using a value with irregularly spaced 1-bits to xor the seed // argument tends to improve "pedestrian" seeds such as 0 or // other small integers. We may as well use SILVER_RATIO_64. // // The x values are then filled in as if by a SplitMix PRNG with // GOLDEN_RATIO_64 as the gamma value and Stafford13 as the mixer. this(RandomSupport.mixStafford13(seed ^= RandomSupport.SILVER_RATIO_64), RandomSupport.mixStafford13(seed += RandomSupport.GOLDEN_RATIO_64), RandomSupport.mixStafford13(seed += RandomSupport.GOLDEN_RATIO_64), RandomSupport.mixStafford13(seed + RandomSupport.GOLDEN_RATIO_64)); } /** * Creates a new instance of {@link Xoshiro256PlusPlus} that is likely to * generate sequences of values that are statistically independent * of those of any other instances in the current program execution, * but may, and typically does, vary across program invocations. */ public Xoshiro256PlusPlus() { // Using GOLDEN_RATIO_64 here gives us a good Weyl sequence of values. this(DEFAULT_GEN.getAndAdd(RandomSupport.GOLDEN_RATIO_64)); } /** * Creates a new instance of {@link Xoshiro256PlusPlus} using the specified array of * initial seed bytes. Instances of {@link Xoshiro256PlusPlus} created with the same * seed array in the same program execution generate identical sequences of values. * * @param seed the initial seed */ public Xoshiro256PlusPlus(byte[] seed) { // Convert the seed to 4 long values, which are not all zero. long[] data = RandomSupport.convertSeedBytesToLongs(seed, 4, 4); long x0 = data[0], x1 = data[1], x2 = data[2], x3 = data[3]; this.x0 = x0; this.x1 = x1; this.x2 = x2; this.x3 = x3; } /* ---------------- public methods ---------------- */ public Xoshiro256PlusPlus copy() { return new Xoshiro256PlusPlus(x0, x1, x2, x3); } /* * The following two comments are quoted from http://prng.di.unimi.it/xoshiro256plusplus.c */ /* * To the extent possible under law, the author has dedicated all copyright * and related and neighboring rights to this software to the public domain * worldwide. This software is distributed without any warranty. *

* See http://creativecommons.org/publicdomain/zero/1.0/. */ /* * This is xoshiro256++ 1.0, one of our all-purpose, rock-solid generators. * It has excellent (sub-ns) speed, a state (256 bits) that is large * enough for any parallel application, and it passes all tests we are * aware of. * * For generating just floating-point numbers, xoshiro256+ is even faster. * * The state must be seeded so that it is not everywhere zero. If you have * a 64-bit seed, we suggest to seed a splitmix64 generator and use its * output to fill s. */ @Override public long nextLong() { // Compute the result based on current state information // (this allows the computation to be overlapped with state update). final long result = Long.rotateLeft(x0 + x3, 23) + x0; // "plusplus" scrambler long q0 = x0, q1 = x1, q2 = x2, q3 = x3; { // xoshiro256 1.0 long t = q1 << 17; q2 ^= q0; q3 ^= q1; q1 ^= q2; q0 ^= q3; q2 ^= t; q3 = Long.rotateLeft(q3, 45); } x0 = q0; x1 = q1; x2 = q2; x3 = q3; return result; } @Override public double jumpDistance() { return 0x1.0p128; } @Override public double leapDistance() { return 0x1.0p192; } private static final long[] JUMP_TABLE = { 0x180ec6d33cfd0abaL, 0xd5a61266f0c9392cL, 0xa9582618e03fc9aaL, 0x39abdc4529b1661cL }; private static final long[] LEAP_TABLE = { 0x76e15d3efefdcbbfL, 0xc5004e441c522fb3L, 0x77710069854ee241L, 0x39109bb02acbe635L }; @Override public void jump() { jumpAlgorithm(JUMP_TABLE); } @Override public void leap() { jumpAlgorithm(LEAP_TABLE); } private void jumpAlgorithm(long[] table) { long s0 = 0, s1 = 0, s2 = 0, s3 = 0; for (int i = 0; i < table.length; i++) { for (int b = 0; b < 64; b++) { if ((table[i] & (1L << b)) != 0) { s0 ^= x0; s1 ^= x1; s2 ^= x2; s3 ^= x3; } nextLong(); } } x0 = s0; x1 = s1; x2 = s2; x3 = s3; } }