583 lines
23 KiB
Java
583 lines
23 KiB
Java
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/*
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* Copyright (c) 2013, 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 java.util;
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import java.math.BigInteger;
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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.SplittableGenerator;
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import java.util.stream.DoubleStream;
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import java.util.stream.IntStream;
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import java.util.stream.LongStream;
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import java.util.stream.Stream;
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import jdk.internal.util.random.RandomSupport;
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import jdk.internal.util.random.RandomSupport.AbstractSplittableGenerator;
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import jdk.internal.util.random.RandomSupport.RandomGeneratorProperties;
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/**
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* A generator of uniform pseudorandom values (with period 2<sup>64</sup>)
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* applicable for use in (among other contexts) isolated parallel
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* computations that may generate subtasks. Class {@code SplittableRandom}
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* supports methods for producing pseudorandom numbers of type {@code int},
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* {@code long}, and {@code double} with similar usages as for class
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* {@link java.util.Random} but differs in the following ways:
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*
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* <ul>
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*
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* <li>Series of generated values pass the DieHarder suite testing
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* independence and uniformity properties of random number generators.
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* (Most recently validated with <a
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* href="http://www.phy.duke.edu/~rgb/General/dieharder.php"> version
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* 3.31.1</a>.) These tests validate only the methods for certain
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* types and ranges, but similar properties are expected to hold, at
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* least approximately, for others as well. The <em>period</em>
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* (length of any series of generated values before it repeats) is
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* 2<sup>64</sup>. </li>
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*
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* <li> Method {@link #split} constructs and returns a new
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* SplittableRandom instance that shares no mutable state with the
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* current instance. However, with very high probability, the
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* values collectively generated by the two objects have the same
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* statistical properties as if the same quantity of values were
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* generated by a single thread using a single {@code
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* SplittableRandom} object. </li>
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*
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* <li>Instances of SplittableRandom are <em>not</em> thread-safe.
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* They are designed to be split, not shared, across threads. For
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* example, a {@link java.util.concurrent.ForkJoinTask
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* fork/join-style} computation using random numbers might include a
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* construction of the form {@code new
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* Subtask(aSplittableRandom.split()).fork()}.
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*
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* <li>This class provides additional methods for generating random
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* streams, that employ the above techniques when used in {@code
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* stream.parallel()} mode.</li>
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*
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* </ul>
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*
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* <p>Instances of {@code SplittableRandom} 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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* @author Guy Steele
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* @author Doug Lea
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* @since 1.8
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*/
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@RandomGeneratorProperties(
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name = "SplittableRandom",
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i = 64, j = 0, k = 0,
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equidistribution = 1
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)
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public final class SplittableRandom implements RandomGenerator, SplittableGenerator {
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/*
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* Implementation Overview.
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*
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* This algorithm was inspired by the "DotMix" algorithm by
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* Leiserson, Schardl, and Sukha "Deterministic Parallel
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* Random-Number Generation for Dynamic-Multithreading Platforms",
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* PPoPP 2012, as well as those in "Parallel random numbers: as
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* easy as 1, 2, 3" by Salmon, Morae, Dror, and Shaw, SC 2011. It
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* differs mainly in simplifying and cheapening operations.
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*
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* The primary update step (method nextSeed()) is to add a
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* constant ("gamma") to the current (64 bit) seed, forming a
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* simple sequence. The seed and the gamma values for any two
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* SplittableRandom instances are highly likely to be different.
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*
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* Methods nextLong, nextInt, and derivatives do not return the
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* sequence (seed) values, but instead a hash-like bit-mix of
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* their bits, producing more independently distributed sequences.
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* For nextLong, the mix64 function is based on David Stafford's
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* (http://zimbry.blogspot.com/2011/09/better-bit-mixing-improving-on.html)
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* "Mix13" variant of the "64-bit finalizer" function in Austin
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* Appleby's MurmurHash3 algorithm (see
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* http://code.google.com/p/smhasher/wiki/MurmurHash3). The mix32
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* function is based on Stafford's Mix04 mix function, but returns
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* the upper 32 bits cast as int.
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*
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* The split operation uses the current generator to form the seed
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* and gamma for another SplittableRandom. To conservatively
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* avoid potential correlations between seed and value generation,
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* gamma selection (method mixGamma) uses different
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* (Murmurhash3's) mix constants. To avoid potential weaknesses
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* in bit-mixing transformations, we restrict gammas to odd values
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* with at least 24 0-1 or 1-0 bit transitions. Rather than
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* rejecting candidates with too few or too many bits set, method
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* mixGamma flips some bits (which has the effect of mapping at
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* most 4 to any given gamma value). This reduces the effective
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* set of 64bit odd gamma values by about 2%, and serves as an
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* automated screening for sequence constant selection that is
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* left as an empirical decision in some other hashing and crypto
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* algorithms.
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*
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* The resulting generator thus transforms a sequence in which
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* (typically) many bits change on each step, with an inexpensive
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* mixer with good (but less than cryptographically secure)
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* avalanching.
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*
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* The default (no-argument) constructor, in essence, invokes
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* split() for a common "defaultGen" SplittableRandom. Unlike
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* other cases, this split must be performed in a thread-safe
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* manner, so we use an AtomicLong to represent the seed rather
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* than use an explicit SplittableRandom. To bootstrap the
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* defaultGen, we start off using a seed based on current time
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* unless the java.util.secureRandomSeed property is set. This
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* serves as a slimmed-down (and insecure) variant of SecureRandom
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* that also avoids stalls that may occur when using /dev/random.
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*
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* It is a relatively simple matter to apply the basic design here
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* to use 128 bit seeds. However, emulating 128bit arithmetic and
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* carrying around twice the state add more overhead than appears
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* warranted for current usages.
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*
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* File organization: First the non-public methods that constitute
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* the main algorithm, then the main public methods, followed by
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* some custom spliterator classes needed for stream methods.
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*/
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/**
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* The golden ratio scaled to 64bits, used as the initial gamma
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* value for (unsplit) SplittableRandoms.
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*/
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private static final long GOLDEN_GAMMA = 0x9e3779b97f4a7c15L;
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/**
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* The seed. Updated only via method nextSeed.
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*/
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private long seed;
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/**
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* The step value.
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*/
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private final long gamma;
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/**
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* Internal constructor used by all others except default constructor.
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*/
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private SplittableRandom(long seed, long gamma) {
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this.seed = seed;
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this.gamma = gamma;
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this.proxy = new AbstractSplittableGeneratorProxy();
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}
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/**
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* Computes Stafford variant 13 of 64bit mix function.
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* http://zimbry.blogspot.com/2011/09/better-bit-mixing-improving-on.html
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*/
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private static long mix64(long z) {
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z = (z ^ (z >>> 30)) * 0xbf58476d1ce4e5b9L;
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z = (z ^ (z >>> 27)) * 0x94d049bb133111ebL;
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return z ^ (z >>> 31);
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}
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/**
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* Returns the 32 high bits of Stafford variant 4 mix64 function as int.
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* http://zimbry.blogspot.com/2011/09/better-bit-mixing-improving-on.html
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*/
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private static int mix32(long z) {
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z = (z ^ (z >>> 33)) * 0x62a9d9ed799705f5L;
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return (int)(((z ^ (z >>> 28)) * 0xcb24d0a5c88c35b3L) >>> 32);
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}
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/**
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* Returns the gamma value to use for a new split instance.
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* Uses the 64bit mix function from MurmurHash3.
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* https://github.com/aappleby/smhasher/wiki/MurmurHash3
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*/
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private static long mixGamma(long z) {
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z = (z ^ (z >>> 33)) * 0xff51afd7ed558ccdL; // MurmurHash3 mix constants
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z = (z ^ (z >>> 33)) * 0xc4ceb9fe1a85ec53L;
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z = (z ^ (z >>> 33)) | 1L; // force to be odd
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int n = Long.bitCount(z ^ (z >>> 1)); // ensure enough transitions
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return (n < 24) ? z ^ 0xaaaaaaaaaaaaaaaaL : z;
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}
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/**
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* Proxy class to non-public RandomSupportAbstractSplittableGenerator.
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*/
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private class AbstractSplittableGeneratorProxy extends AbstractSplittableGenerator {
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@Override
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public int nextInt() {
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return SplittableRandom.this.nextInt();
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}
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@Override
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public long nextLong() {
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return SplittableRandom.this.nextLong();
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}
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@Override
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public java.util.SplittableRandom split(SplittableGenerator source) {
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return new SplittableRandom(source.nextLong(), mixGamma(source.nextLong()));
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}
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}
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/**
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* Proxy object to non-public RandomSupportAbstractSplittableGenerator.
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*/
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private AbstractSplittableGeneratorProxy proxy;
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/**
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* Adds gamma to seed.
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*/
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private long nextSeed() {
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return seed += gamma;
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}
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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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/* ---------------- public methods ---------------- */
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/**
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* Creates a new SplittableRandom instance using the specified
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* initial seed. SplittableRandom instances created with the same
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* seed in the same 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 SplittableRandom(long seed) {
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this(seed, GOLDEN_GAMMA);
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}
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/**
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* Creates a new SplittableRandom instance 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; and
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* may, and typically does, vary across program invocations.
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*/
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public SplittableRandom() { // emulate defaultGen.split()
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long s = defaultGen.getAndAdd(2 * GOLDEN_GAMMA);
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this.seed = mix64(s);
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this.gamma = mixGamma(s + GOLDEN_GAMMA);
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this.proxy = new AbstractSplittableGeneratorProxy();
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}
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/**
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* Constructs and returns a new SplittableRandom instance that
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* shares no mutable state with this instance. However, with very
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* high probability, the set of values collectively generated by
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* the two objects has the same statistical properties as if the
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* same quantity of values were generated by a single thread using
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* a single SplittableRandom object. Either or both of the two
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* objects may be further split using the {@code split()} method,
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* and the same expected statistical properties apply to the
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* entire set of generators constructed by such recursive
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* splitting.
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*
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* @return the new SplittableRandom instance
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*/
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public SplittableRandom split() {
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return new SplittableRandom(nextLong(), mixGamma(nextSeed()));
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}
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/**
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* {@inheritDoc}
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* @throws NullPointerException {@inheritDoc}
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* @since 17
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*/
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public SplittableRandom split(SplittableGenerator source) {
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return new SplittableRandom(source.nextLong(), mixGamma(source.nextLong()));
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}
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@Override
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public int nextInt() {
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return mix32(nextSeed());
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}
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@Override
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public long nextLong() {
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return mix64(nextSeed());
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}
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/**
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* {@inheritDoc}
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* @throws NullPointerException {@inheritDoc}
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* @since 10
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*/
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@Override
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public void nextBytes(byte[] bytes) {
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proxy.nextBytes(bytes);
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}
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/**
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* {@inheritDoc}
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* @implSpec {@inheritDoc}
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* @since 17
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*/
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@Override
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public Stream<SplittableGenerator> splits() {
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return proxy.splits();
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}
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/**
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* {@inheritDoc}
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* @throws IllegalArgumentException {@inheritDoc}
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* @implSpec {@inheritDoc}
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* @since 17
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*/
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@Override
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public Stream<SplittableGenerator> splits(long streamSize) {
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return proxy.splits(streamSize, this);
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}
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/**
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* {@inheritDoc}
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* @throws NullPointerException {@inheritDoc}
|
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* @implSpec {@inheritDoc}
|
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* @since 17
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*/
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@Override
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public Stream<SplittableGenerator> splits(SplittableGenerator source) {
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return proxy.splits(Long.MAX_VALUE, source);
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}
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/**
|
||
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* {@inheritDoc}
|
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* @throws NullPointerException {@inheritDoc}
|
||
|
* @throws IllegalArgumentException {@inheritDoc}
|
||
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* @implSpec {@inheritDoc}
|
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* @since 17
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*/
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@Override
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public Stream<SplittableGenerator> splits(long streamSize, SplittableGenerator source) {
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return proxy.splits(streamSize, source);
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}
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/**
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* Returns a stream producing the given {@code streamSize} number
|
||
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* of pseudorandom {@code int} values from this generator and/or
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* one split from it.
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*
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* @param streamSize the number of values to generate
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* @return a stream of pseudorandom {@code int} values
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* @throws IllegalArgumentException if {@code streamSize} is
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* less than zero
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*/
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@Override
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public IntStream ints(long streamSize) {
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return proxy.ints(streamSize);
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}
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/**
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* Returns an effectively unlimited stream of pseudorandom {@code int}
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* values from this generator and/or one split from it.
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*
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* @implNote This method is implemented to be equivalent to {@code
|
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* ints(Long.MAX_VALUE)}.
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*
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||
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* @return a stream of pseudorandom {@code int} values
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*/
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@Override
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public IntStream ints() {
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return proxy.ints();
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}
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/**
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* Returns a stream producing the given {@code streamSize} number
|
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* of pseudorandom {@code int} values from this generator and/or one split
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* from it; each value conforms to the given origin (inclusive) and bound
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* (exclusive).
|
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*
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||
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* @param streamSize the number of values to generate
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* @param randomNumberOrigin the origin (inclusive) of each random value
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||
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* @param randomNumberBound the bound (exclusive) of each random value
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||
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* @return a stream of pseudorandom {@code int} values,
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||
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* each with the given origin (inclusive) and bound (exclusive)
|
||
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* @throws IllegalArgumentException if {@code streamSize} is
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* less than zero, or {@code randomNumberOrigin}
|
||
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* is greater than or equal to {@code randomNumberBound}
|
||
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*/
|
||
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@Override
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||
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public IntStream ints(long streamSize, int randomNumberOrigin, int randomNumberBound) {
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||
|
return proxy.ints(streamSize, randomNumberOrigin, randomNumberBound);
|
||
|
}
|
||
|
|
||
|
/**
|
||
|
* Returns an effectively unlimited stream of pseudorandom {@code
|
||
|
* int} values from this generator and/or one split from it; each value
|
||
|
* conforms to the given origin (inclusive) and bound (exclusive).
|
||
|
*
|
||
|
* @implNote This method is implemented to be equivalent to {@code
|
||
|
* ints(Long.MAX_VALUE, randomNumberOrigin, randomNumberBound)}.
|
||
|
*
|
||
|
* @param randomNumberOrigin the origin (inclusive) of each random value
|
||
|
* @param randomNumberBound the bound (exclusive) of each random value
|
||
|
* @return a stream of pseudorandom {@code int} values,
|
||
|
* each with the given origin (inclusive) and bound (exclusive)
|
||
|
* @throws IllegalArgumentException if {@code randomNumberOrigin}
|
||
|
* is greater than or equal to {@code randomNumberBound}
|
||
|
*/
|
||
|
@Override
|
||
|
public IntStream ints(int randomNumberOrigin, int randomNumberBound) {
|
||
|
return proxy.ints(randomNumberOrigin, randomNumberBound);
|
||
|
}
|
||
|
|
||
|
/**
|
||
|
* Returns a stream producing the given {@code streamSize} number
|
||
|
* of pseudorandom {@code long} values from this generator and/or
|
||
|
* one split from it.
|
||
|
*
|
||
|
* @param streamSize the number of values to generate
|
||
|
* @return a stream of pseudorandom {@code long} values
|
||
|
* @throws IllegalArgumentException if {@code streamSize} is
|
||
|
* less than zero
|
||
|
*/
|
||
|
@Override
|
||
|
public LongStream longs(long streamSize) {
|
||
|
return proxy.longs(streamSize);
|
||
|
}
|
||
|
|
||
|
/**
|
||
|
* Returns an effectively unlimited stream of pseudorandom {@code
|
||
|
* long} values from this generator and/or one split from it.
|
||
|
*
|
||
|
* @implNote This method is implemented to be equivalent to {@code
|
||
|
* longs(Long.MAX_VALUE)}.
|
||
|
*
|
||
|
* @return a stream of pseudorandom {@code long} values
|
||
|
*/
|
||
|
@Override
|
||
|
public LongStream longs() {
|
||
|
return proxy.longs();
|
||
|
}
|
||
|
|
||
|
/**
|
||
|
* Returns a stream producing the given {@code streamSize} number of
|
||
|
* pseudorandom {@code long} values from this generator and/or one split
|
||
|
* from it; each value conforms to the given origin (inclusive) and bound
|
||
|
* (exclusive).
|
||
|
*
|
||
|
* @param streamSize the number of values to generate
|
||
|
* @param randomNumberOrigin the origin (inclusive) of each random value
|
||
|
* @param randomNumberBound the bound (exclusive) of each random value
|
||
|
* @return a stream of pseudorandom {@code long} values,
|
||
|
* each with the given origin (inclusive) and bound (exclusive)
|
||
|
* @throws IllegalArgumentException if {@code streamSize} is
|
||
|
* less than zero, or {@code randomNumberOrigin}
|
||
|
* is greater than or equal to {@code randomNumberBound}
|
||
|
*/
|
||
|
@Override
|
||
|
public LongStream longs(long streamSize, long randomNumberOrigin, long randomNumberBound) {
|
||
|
return proxy.longs(streamSize, randomNumberOrigin, randomNumberBound);
|
||
|
}
|
||
|
|
||
|
/**
|
||
|
* Returns an effectively unlimited stream of pseudorandom {@code
|
||
|
* long} values from this generator and/or one split from it; each value
|
||
|
* conforms to the given origin (inclusive) and bound (exclusive).
|
||
|
*
|
||
|
* @implNote This method is implemented to be equivalent to {@code
|
||
|
* longs(Long.MAX_VALUE, randomNumberOrigin, randomNumberBound)}.
|
||
|
*
|
||
|
* @param randomNumberOrigin the origin (inclusive) of each random value
|
||
|
* @param randomNumberBound the bound (exclusive) of each random value
|
||
|
* @return a stream of pseudorandom {@code long} values,
|
||
|
* each with the given origin (inclusive) and bound (exclusive)
|
||
|
* @throws IllegalArgumentException if {@code randomNumberOrigin}
|
||
|
* is greater than or equal to {@code randomNumberBound}
|
||
|
*/
|
||
|
@Override
|
||
|
public LongStream longs(long randomNumberOrigin, long randomNumberBound) {
|
||
|
return proxy.longs(randomNumberOrigin, randomNumberBound);
|
||
|
}
|
||
|
|
||
|
/**
|
||
|
* Returns a stream producing the given {@code streamSize} number of
|
||
|
* pseudorandom {@code double} values from this generator and/or one split
|
||
|
* from it; each value is between zero (inclusive) and one (exclusive).
|
||
|
*
|
||
|
* @param streamSize the number of values to generate
|
||
|
* @return a stream of {@code double} values
|
||
|
* @throws IllegalArgumentException if {@code streamSize} is
|
||
|
* less than zero
|
||
|
*/
|
||
|
@Override
|
||
|
public DoubleStream doubles(long streamSize) {
|
||
|
return proxy.doubles(streamSize);
|
||
|
}
|
||
|
|
||
|
/**
|
||
|
* Returns an effectively unlimited stream of pseudorandom {@code
|
||
|
* double} values from this generator and/or one split from it; each value
|
||
|
* is between zero (inclusive) and one (exclusive).
|
||
|
*
|
||
|
* @implNote This method is implemented to be equivalent to {@code
|
||
|
* doubles(Long.MAX_VALUE)}.
|
||
|
*
|
||
|
* @return a stream of pseudorandom {@code double} values
|
||
|
*/
|
||
|
@Override
|
||
|
public DoubleStream doubles() {
|
||
|
return proxy.doubles();
|
||
|
}
|
||
|
|
||
|
/**
|
||
|
* Returns a stream producing the given {@code streamSize} number of
|
||
|
* pseudorandom {@code double} values from this generator and/or one split
|
||
|
* from it; each value conforms to the given origin (inclusive) and bound
|
||
|
* (exclusive).
|
||
|
*
|
||
|
* @param streamSize the number of values to generate
|
||
|
* @param randomNumberOrigin the origin (inclusive) of each random value
|
||
|
* @param randomNumberBound the bound (exclusive) of each random value
|
||
|
* @return a stream of pseudorandom {@code double} values,
|
||
|
* each with the given origin (inclusive) and bound (exclusive)
|
||
|
* @throws IllegalArgumentException if {@code streamSize} is
|
||
|
* less than zero, or {@code randomNumberOrigin}
|
||
|
* is greater than or equal to {@code randomNumberBound}
|
||
|
*/
|
||
|
@Override
|
||
|
public DoubleStream doubles(long streamSize, double randomNumberOrigin, double randomNumberBound) {
|
||
|
return proxy.doubles(streamSize, randomNumberOrigin, randomNumberBound);
|
||
|
}
|
||
|
|
||
|
/**
|
||
|
* Returns an effectively unlimited stream of pseudorandom {@code
|
||
|
* double} values from this generator and/or one split from it; each value
|
||
|
* conforms to the given origin (inclusive) and bound (exclusive).
|
||
|
*
|
||
|
* @implNote This method is implemented to be equivalent to {@code
|
||
|
* doubles(Long.MAX_VALUE, randomNumberOrigin, randomNumberBound)}.
|
||
|
*
|
||
|
* @param randomNumberOrigin the origin (inclusive) of each random value
|
||
|
* @param randomNumberBound the bound (exclusive) of each random value
|
||
|
* @return a stream of pseudorandom {@code double} values,
|
||
|
* each with the given origin (inclusive) and bound (exclusive)
|
||
|
* @throws IllegalArgumentException if {@code randomNumberOrigin}
|
||
|
* is greater than or equal to {@code randomNumberBound}
|
||
|
*/
|
||
|
@Override
|
||
|
public DoubleStream doubles(double randomNumberOrigin, double randomNumberBound) {
|
||
|
return proxy.doubles(randomNumberOrigin, randomNumberBound);
|
||
|
}
|
||
|
}
|