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1   /*
2    * Licensed to the Apache Software Foundation (ASF) under one or more
3    * contributor license agreements.  See the NOTICE file distributed with
4    * this work for additional information regarding copyright ownership.
5    * The ASF licenses this file to You under the Apache License, Version 2.0
6    * (the "License"); you may not use this file except in compliance with
7    * the License.  You may obtain a copy of the License at
8    *
9    *      http://www.apache.org/licenses/LICENSE-2.0
10   *
11   * Unless required by applicable law or agreed to in writing, software
12   * distributed under the License is distributed on an "AS IS" BASIS,
13   * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
14   * See the License for the specific language governing permissions and
15   * limitations under the License.
16   */
17  
18  package org.apache.commons.rng.core.source64;
19  
20  import java.util.stream.Stream;
21  import org.apache.commons.rng.SplittableUniformRandomProvider;
22  import org.apache.commons.rng.UniformRandomProvider;
23  import org.apache.commons.rng.core.util.RandomStreams;
24  
25  /**
26   * A 64-bit all purpose generator.
27   *
28   * <p>This is a member of the LXM family of generators: L=Linear congruential generator;
29   * X=Xor based generator; and M=Mix. This member uses a 64-bit LCG and 128-bit Xor-based
30   * generator. It is named as {@code "L64X128MixRandom"} in the {@code java.util.random}
31   * package introduced in JDK 17; the LXM family is described in further detail in:
32   *
33   * <blockquote>Steele and Vigna (2021) LXM: better splittable pseudorandom number generators
34   * (and almost as fast). Proceedings of the ACM on Programming Languages, Volume 5,
35   * Article 148, pp 1–31.</blockquote>
36   *
37   * <p>Memory footprint is 256 bits and the period is 2<sup>64</sup> (2<sup>128</sup> - 1).
38   *
39   * <p>This generator implements
40   * {@link org.apache.commons.rng.LongJumpableUniformRandomProvider LongJumpableUniformRandomProvider}.
41   * In addition instances created with a different additive parameter for the LCG are robust
42   * against accidental correlation in a multi-threaded setting. The additive parameters must be
43   * different in the most significant 63-bits.
44   *
45   * <p>This generator implements
46   * {@link org.apache.commons.rng.SplittableUniformRandomProvider SplittableUniformRandomProvider}.
47   * The stream of generators created using the {@code splits} methods support parallelisation
48   * and are robust against accidental correlation by using unique values for the additive parameter
49   * for each instance in the same stream. The primitive streaming methods support parallelisation
50   * but with no assurances of accidental correlation; each thread uses a new instance with a
51   * randomly initialised state.
52   *
53   * @see <a href="https://doi.org/10.1145/3485525">Steele &amp; Vigna (2021) Proc. ACM Programming
54   *      Languages 5, 1-31</a>
55   * @see <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/random/package-summary.html">
56   *      JDK 17 java.util.random javadoc</a>
57   * @since 1.5
58   */
59  public class L64X128Mix extends AbstractL64X128 implements SplittableUniformRandomProvider {
60      /**
61       * Creates a new instance.
62       *
63       * @param seed Initial seed.
64       * If the length is larger than 4, only the first 4 elements will
65       * be used; if smaller, the remaining elements will be automatically
66       * set. A seed containing all zeros in the last two elements
67       * will create a non-functional XBG sub-generator and a low
68       * quality output with a period of 2<sup>64</sup>.
69       *
70       * <p>The 1st element is used to set the LCG increment; the least significant bit
71       * is set to odd to ensure a full period LCG. The 2nd element is used
72       * to set the LCG state.</p>
73       */
74      public L64X128Mix(long[] seed) {
75          super(seed);
76      }
77  
78      /**
79       * Creates a new instance using a 4 element seed.
80       * A seed containing all zeros in the last two elements
81       * will create a non-functional XBG sub-generator and a low
82       * quality output with a period of 2<sup>64</sup>.
83       *
84       * <p>The 1st element is used to set the LCG increment; the least significant bit
85       * is set to odd to ensure a full period LCG. The 2nd element is used
86       * to set the LCG state.</p>
87       *
88       * @param seed0 Initial seed element 0.
89       * @param seed1 Initial seed element 1.
90       * @param seed2 Initial seed element 2.
91       * @param seed3 Initial seed element 3.
92       */
93      public L64X128Mix(long seed0, long seed1, long seed2, long seed3) {
94          super(seed0, seed1, seed2, seed3);
95      }
96  
97      /**
98       * Creates a copy instance.
99       *
100      * @param source Source to copy.
101      */
102     protected L64X128Mix(L64X128Mix source) {
103         super(source);
104     }
105 
106     /** {@inheritDoc} */
107     @Override
108     public long next() {
109         // LXM generate.
110         // Old state is used for the output allowing parallel pipelining
111         // on processors that support multiple concurrent instructions.
112 
113         final long s0 = x0;
114         final long s = ls;
115 
116         // Mix
117         final long z = LXMSupport.lea64(s + s0);
118 
119         // LCG update
120         ls = M * s + la;
121 
122         // XBG update
123         long s1 = x1;
124 
125         s1 ^= s0;
126         x0 = Long.rotateLeft(s0, 24) ^ s1 ^ (s1 << 16); // a, b
127         x1 = Long.rotateLeft(s1, 37); // c
128 
129         return z;
130     }
131 
132     /** {@inheritDoc} */
133     @Override
134     protected L64X128Mix copy() {
135         // This exists to ensure the jump function performed in the super class returns
136         // the correct class type. It should not be public.
137         return new L64X128Mix(this);
138     }
139 
140     /** {@inheritDoc} */
141     @Override
142     public SplittableUniformRandomProvider split(UniformRandomProvider source) {
143         return create(source.nextLong(), source);
144     }
145 
146     /** {@inheritDoc} */
147     @Override
148     public Stream<SplittableUniformRandomProvider> splits(long streamSize, SplittableUniformRandomProvider source) {
149         return RandomStreams.generateWithSeed(streamSize, source, L64X128Mix::create);
150     }
151 
152     /**
153      * Create a new instance using the given {@code seed} and {@code source} of randomness
154      * to initialise the instance.
155      *
156      * @param seed Seed used to initialise the instance.
157      * @param source Source of randomness used to initialise the instance.
158      * @return A new instance.
159      */
160     private static SplittableUniformRandomProvider create(long seed, UniformRandomProvider source) {
161         // LCG state. The addition uses the input seed.
162         // The LCG addition parameter is set to odd so left-shift the seed.
163         final long s0 = seed << 1;
164         final long s1 = source.nextLong();
165         // XBG state must not be all zero
166         long x0 = source.nextLong();
167         long x1 = source.nextLong();
168         if ((x0 | x1) == 0) {
169             // SplitMix style seed ensures at least one non-zero value
170             x0 = LXMSupport.lea64(s1);
171             x1 = LXMSupport.lea64(s1 + LXMSupport.GOLDEN_RATIO_64);
172         }
173         return new L64X128Mix(s0, s1, x0, x1);
174     }
175 }