277 lines
11 KiB
Java
277 lines
11 KiB
Java
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/*
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* Copyright (c) 2021, Oracle and/or its affiliates. All rights reserved.
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* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
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*
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* This code is free software; you can redistribute it and/or modify it
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* under the terms of the GNU General Public License version 2 only, as
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* published by the Free Software Foundation. Oracle designates this
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* particular file as subject to the "Classpath" exception as provided
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* by Oracle in the LICENSE file that accompanied this code.
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*
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* This code is distributed in the hope that it will be useful, but WITHOUT
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* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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* FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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* version 2 for more details (a copy is included in the LICENSE file that
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* accompanied this code).
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*
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* You should have received a copy of the GNU General Public License version
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* 2 along with this work; if not, write to the Free Software Foundation,
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* Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
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*
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* Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
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* or visit www.oracle.com if you need additional information or have any
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* questions.
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*/
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package jdk.random;
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import java.util.concurrent.atomic.AtomicLong;
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import java.util.random.RandomGenerator;
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import java.util.random.RandomGenerator.LeapableGenerator;
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import jdk.internal.util.random.RandomSupport;
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import jdk.internal.util.random.RandomSupport.RandomGeneratorProperties;
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/**
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* A "jumpable and leapable" pseudorandom number generator (PRNG) whose period
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* is roughly 2<sup>128</sup>. Class {@link Xoroshiro128PlusPlus} implements
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* interfaces {@link RandomGenerator} and {@link LeapableGenerator},
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* and therefore supports methods for producing pseudorandomly chosen
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* numbers of type {@code int}, {@code long}, {@code float}, and {@code double}
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* as well as creating new {@link Xoroshiro128PlusPlus} objects
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* by "jumping" or "leaping".
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* <p>
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* The class {@link Xoroshiro128PlusPlus} uses the {@code xoroshiro128} algorithm
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* (parameters 49, 21, 28) with the "++" scrambler that computes
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* {@code Long.rotateLeft(s0 + s1, 17) + s0}.
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* (See David Blackman and Sebastiano Vigna, "Scrambled Linear Pseudorandom
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* Number Generators," ACM Transactions on Mathematical Software, 2021.)
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* Its state consists of two {@code long} fields {@code x0} and {@code x1},
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* which can take on any values provided that they are not both zero.
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* The period of this generator is 2<sup>128</sup>-1.
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* <p>
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* The 64-bit values produced by the {@code nextLong()} method are equidistributed.
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* To be precise, over the course of the cycle of length 2<sup>128</sup>-1,
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* each nonzero {@code long} value is generated 2<sup>64</sup> times,
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* but the value 0 is generated only 2<sup>64</sup>-1 times.
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* The values produced by the {@code nextInt()}, {@code nextFloat()}, and {@code nextDouble()}
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* methods are likewise equidistributed.
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* <p>
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* Instances {@link Xoroshiro128PlusPlus} are <em>not</em> thread-safe.
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* They are designed to be used so that each thread as its own instance.
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* The methods {@link #jump} and {@link #leap} and {@link #jumps} and {@link #leaps}
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* can be used to construct new instances of {@link Xoroshiro128PlusPlus} that traverse
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* other parts of the state cycle.
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* <p>
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* Instances of {@link Xoroshiro128PlusPlus} are not cryptographically
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* secure. Consider instead using {@link java.security.SecureRandom}
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* in security-sensitive applications. Additionally,
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* default-constructed instances do not use a cryptographically random
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* seed unless the {@linkplain System#getProperty system property}
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* {@code java.util.secureRandomSeed} is set to {@code true}.
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*
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* @since 17
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*
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*/
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@RandomGeneratorProperties(
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name = "Xoroshiro128PlusPlus",
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group = "Xoroshiro",
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i = 128, j = 1, k = 0,
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equidistribution = 1
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)
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public final class Xoroshiro128PlusPlus implements LeapableGenerator {
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/*
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* Implementation Overview.
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*
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* This is an implementation of the xoroshiro128++ algorithm version 1.0,
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* written in 2019 by David Blackman and Sebastiano Vigna (vigna@acm.org).
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*
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* The jump operation moves the current generator forward by 2*64
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* steps; this has the same effect as calling nextLong() 2**64
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* times, but is much faster. Similarly, the leap operation moves
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* the current generator forward by 2*96 steps; this has the same
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* effect as calling nextLong() 2**96 times, but is much faster.
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* The copy method may be used to make a copy of the current
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* generator. Thus one may repeatedly and cumulatively copy and
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* jump to produce a sequence of generators whose states are well
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* spaced apart along the overall state cycle (indeed, the jumps()
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* and leaps() methods each produce a stream of such generators).
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* The generators can then be parceled out to other threads.
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*
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* File organization: First the non-public methods that constitute the
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* main algorithm, then the public methods. Note that many methods are
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* defined by classes {@link AbstractJumpableGenerator} and {@link AbstractGenerator}.
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*/
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/* ---------------- static fields ---------------- */
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/**
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* Group name.
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*/
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private static final String GROUP = "Xoroshiro";
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/**
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* The seed generator for default constructors.
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*/
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private static final AtomicLong defaultGen = new AtomicLong(RandomSupport.initialSeed());
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/* ---------------- instance fields ---------------- */
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/**
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* The per-instance state.
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* At least one of the two fields x0 and x1 must be nonzero.
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*/
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private long x0, x1;
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/* ---------------- constructors ---------------- */
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/**
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* Basic constructor that initializes all fields from parameters.
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* It then adjusts the field values if necessary to ensure that
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* all constraints on the values of fields are met.
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*
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* @param x0 first word of the initial state
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* @param x1 second word of the initial state
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*/
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public Xoroshiro128PlusPlus(long x0, long x1) {
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this.x0 = x0;
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this.x1 = x1;
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// If x0 and x1 are both zero, we must choose nonzero values.
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if ((x0 | x1) == 0) {
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this.x0 = RandomSupport.GOLDEN_RATIO_64;
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this.x1 = RandomSupport.SILVER_RATIO_64;
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}
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}
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/**
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* Creates a new instance of {@link Xoroshiro128PlusPlus} using the
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* specified {@code long} value as the initial seed. Instances of
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* {@link Xoroshiro128PlusPlus} created with the same seed in the same
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* program generate identical sequences of values.
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*
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* @param seed the initial seed
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*/
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public Xoroshiro128PlusPlus(long seed) {
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// Using a value with irregularly spaced 1-bits to xor the seed
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// argument tends to improve "pedestrian" seeds such as 0 or
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// other small integers. We may as well use SILVER_RATIO_64.
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//
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// The x values are then filled in as if by a SplitMix PRNG with
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// GOLDEN_RATIO_64 as the gamma value and Stafford13 as the mixer.
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this(RandomSupport.mixStafford13(seed ^= RandomSupport.SILVER_RATIO_64),
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RandomSupport.mixStafford13(seed + RandomSupport.GOLDEN_RATIO_64));
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}
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/**
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* Creates a new instance of {@link Xoroshiro128PlusPlus} that is likely to
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* generate sequences of values that are statistically independent
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* of those of any other instances in the current program execution,
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* but may, and typically does, vary across program invocations.
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*/
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public Xoroshiro128PlusPlus() {
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// Using GOLDEN_RATIO_64 here gives us a good Weyl sequence of values.
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this(defaultGen.getAndAdd(RandomSupport.GOLDEN_RATIO_64));
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}
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/**
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* Creates a new instance of {@link Xoroshiro128PlusPlus} using the specified array of
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* initial seed bytes. Instances of {@link Xoroshiro128PlusPlus} created with the same
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* seed array in the same program execution generate identical sequences of values.
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*
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* @param seed the initial seed
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*/
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public Xoroshiro128PlusPlus(byte[] seed) {
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// Convert the seed to 2 long values, which are not both zero.
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long[] data = RandomSupport.convertSeedBytesToLongs(seed, 2, 2);
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long x0 = data[0], x1 = data[1];
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this.x0 = x0;
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this.x1 = x1;
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}
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/* ---------------- public methods ---------------- */
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public Xoroshiro128PlusPlus copy() {
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return new Xoroshiro128PlusPlus(x0, x1);
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}
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/*
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* The following two comments are quoted from http://prng.di.unimi.it/xoroshiro128plusplus.c
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*/
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/*
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* To the extent possible under law, the author has dedicated all copyright
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* and related and neighboring rights to this software to the public domain
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* worldwide. This software is distributed without any warranty.
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* <p>
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* See http://creativecommons.org/publicdomain/zero/1.0/.
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*/
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/*
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* This is xoroshiro128++ 1.0, one of our all-purpose, rock-solid,
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* small-state generators. It is extremely (sub-ns) fast and it passes all
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* tests we are aware of, but its state space is large enough only for
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* mild parallelism.
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* <p>
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* For generating just floating-point numbers, xoroshiro128+ is even
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* faster (but it has a very mild bias, see notes in the comments).
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* <p>
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* The state must be seeded so that it is not everywhere zero. If you have
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* a 64-bit seed, we suggest to seed a splitmix64 generator and use its
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* output to fill s.
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*/
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@Override
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public long nextLong() {
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final long s0 = x0;
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long s1 = x1;
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// Compute the result based on current state information
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// (this allows the computation to be overlapped with state update).
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final long result = Long.rotateLeft(s0 + s1, 17) + s0; // "plusplus" scrambler
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s1 ^= s0;
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x0 = Long.rotateLeft(s0, 49) ^ s1 ^ (s1 << 21); // a, b
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x1 = Long.rotateLeft(s1, 28); // c
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return result;
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}
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@Override
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public double jumpDistance() {
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return 0x1.0p64;
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}
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@Override
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public double leapDistance() {
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return 0x1.0p96;
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}
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private static final long[] JUMP_TABLE = { 0x2bd7a6a6e99c2ddcL, 0x0992ccaf6a6fca05L };
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private static final long[] LEAP_TABLE = { 0x360fd5f2cf8d5d99L, 0x9c6e6877736c46e3L };
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@Override
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public void jump() {
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jumpAlgorithm(JUMP_TABLE);
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}
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@Override
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public void leap() {
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jumpAlgorithm(LEAP_TABLE);
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}
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private void jumpAlgorithm(long[] table) {
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long s0 = 0, s1 = 0;
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for (int i = 0; i < table.length; i++) {
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for (int b = 0; b < 64; b++) {
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if ((table[i] & (1L << b)) != 0) {
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s0 ^= x0;
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s1 ^= x1;
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}
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nextLong();
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}
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}
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x0 = s0;
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x1 = s1;
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}
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}
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