20 * |
20 * |
21 * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA |
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 |
22 * or visit www.oracle.com if you need additional information or have any |
23 * questions. |
23 * questions. |
24 */ |
24 */ |
25 package java.util; |
25 |
|
26 package java.util.random; |
26 |
27 |
27 import java.math.BigInteger; |
28 import java.math.BigInteger; |
28 import java.util.concurrent.atomic.AtomicLong; |
29 import java.util.concurrent.atomic.AtomicLong; |
29 |
30 |
30 /** |
31 /** |
31 * A generator of uniform pseudorandom values applicable for use in |
32 * A generator of uniform pseudorandom values applicable for use in |
32 * (among other contexts) isolated parallel computations that may |
33 * (among other contexts) isolated parallel computations that may |
33 * generate subtasks. Class {@code L64X128MixRandom} implements |
34 * generate subtasks. Class {@link L64X128MixRandom} implements |
34 * interfaces {@link java.util.Rng} and {@link java.util.SplittableRng}, |
35 * interfaces {@link RandomNumberGenerator} and {@link SplittableRNG}, |
35 * and therefore supports methods for producing pseudorandomly chosen |
36 * and therefore supports methods for producing pseudorandomly chosen |
36 * numbers of type {@code int}, {@code long}, {@code float}, and {@code double} |
37 * numbers of type {@code int}, {@code long}, {@code float}, and {@code double} |
37 * as well as creating new split-off {@code L64X128MixRandom} objects, |
38 * as well as creating new split-off {@link L64X128MixRandom} objects, |
38 * with similar usages as for class {@link java.util.SplittableRandom}. |
39 * with similar usages as for class {@link java.util.SplittableRandom}. |
39 * |
40 * <p> |
40 * <p>Series of generated values pass the TestU01 BigCrush and PractRand test suites |
41 * Series of generated values pass the TestU01 BigCrush and PractRand test suites |
41 * that measure independence and uniformity properties of random number generators. |
42 * that measure independence and uniformity properties of random number generators. |
42 * (Most recently validated with |
43 * (Most recently validated with |
43 * <a href="http://simul.iro.umontreal.ca/testu01/tu01.html">version 1.2.3 of TestU01</a> |
44 * <a href="http://simul.iro.umontreal.ca/testu01/tu01.html">version 1.2.3 of TestU01</a> |
44 * and <a href="http://pracrand.sourceforge.net">version 0.90 of PractRand</a>. |
45 * and <a href="http://pracrand.sourceforge.net">version 0.90 of PractRand</a>. |
45 * Note that TestU01 BigCrush was used to test not only values produced by the {@code nextLong()} |
46 * Note that TestU01 BigCrush was used to test not only values produced by the {@code nextLong()} |
46 * method but also the result of bit-reversing each value produced by {@code nextLong()}.) |
47 * method but also the result of bit-reversing each value produced by {@code nextLong()}.) |
47 * These tests validate only the methods for certain |
48 * These tests validate only the methods for certain |
48 * types and ranges, but similar properties are expected to hold, at |
49 * types and ranges, but similar properties are expected to hold, at |
49 * least approximately, for others as well. |
50 * least approximately, for others as well. |
50 * |
51 * <p> |
51 * <p>{@code L64X128MixRandom} is a specific member of the LXM family of algorithms |
52 * {@link L64X128MixRandom} is a specific member of the LXM family of algorithms |
52 * for pseudorandom number generators. Every LXM generator consists of two |
53 * for pseudorandom number generators. Every LXM generator consists of two |
53 * subgenerators; one is an LCG (Linear Congruential Generator) and the other is |
54 * subgenerators; one is an LCG (Linear Congruential Generator) and the other is |
54 * an Xorshift generator. Each output of an LXM generator is the sum of one |
55 * an Xorshift generator. Each output of an LXM generator is the sum of one |
55 * output from each subgenerator, possibly processed by a final mixing function |
56 * output from each subgenerator, possibly processed by a final mixing function |
56 * (and {@code L64X128MixRandom} does use a mixing function). |
57 * (and {@link L64X128MixRandom} does use a mixing function). |
57 * |
58 * <p> |
58 * <p>The LCG subgenerator for {@code L64X128MixRandom} has an update step of the |
59 * The LCG subgenerator for {@link L64X128MixRandom} has an update step of the |
59 * form {@code s = m * s + a}, where {@code s}, {@code m}, and {@code a} are all |
60 * form {@code s = m * s + a}, where {@code s}, {@code m}, and {@code a} are all |
60 * of type {@code long}; {@code s} is the mutable state, the multiplier {@code m} |
61 * of type {@code long}; {@code s} is the mutable state, the multiplier {@code m} |
61 * is fixed (the same for all instances of {@code L64X128MixRandom}}) and the addend |
62 * is fixed (the same for all instances of {@link L64X128MixRandom}}) and the addend |
62 * {@code a} is a parameter (a final field of the instance). The parameter |
63 * {@code a} is a parameter (a final field of the instance). The parameter |
63 * {@code a} is required to be odd (this allows the LCG to have the maximal |
64 * {@code a} is required to be odd (this allows the LCG to have the maximal |
64 * period, namely 2<sup>64</sup>); therefore there are 2<sup>63</sup> distinct choices |
65 * period, namely 2<sup>64</sup>); therefore there are 2<sup>63</sup> distinct choices |
65 * of parameter. |
66 * of parameter. |
66 * |
67 * <p> |
67 * <p>The Xorshift subgenerator for {@code L64X128MixRandom} is the {@code xoroshiro128} algorithm, |
68 * The Xorshift subgenerator for {@link L64X128MixRandom} is the {@code xoroshiro128} algorithm, |
68 * version 1.0 (parameters 24, 16, 37), without any final scrambler such as "+" or "**". |
69 * version 1.0 (parameters 24, 16, 37), without any final scrambler such as "+" or "**". |
69 * Its state consists of two {@code long} fields {@code x0} and {@code x1}, |
70 * Its state consists of two {@code long} fields {@code x0} and {@code x1}, |
70 * which can take on any values provided that they are not both zero. |
71 * which can take on any values provided that they are not both zero. |
71 * The period of this subgenerator is 2<sup>128</sup>-1. |
72 * The period of this subgenerator is 2<sup>128</sup>-1. |
72 * |
73 * <p> |
73 * <p> The mixing function for {@code L64X128MixRandom} is the 64-bit "starstar(5,7,9)" function. |
74 * The mixing function for {@link L64X128MixRandom} is the 64-bit "starstar(5,7,9)" function. |
74 * |
75 * <p> |
75 * <p> Because the periods 2<sup>64</sup> and 2<sup>128</sup>-1 of the two subgenerators |
76 * Because the periods 2<sup>64</sup> and 2<sup>128</sup>-1 of the two subgenerators |
76 * are relatively prime, the <em>period</em> of any single {@code L64X128MixRandom} object |
77 * are relatively prime, the <em>period</em> of any single {@link L64X128MixRandom} object |
77 * (the length of the series of generated 64-bit values before it repeats) is the product |
78 * (the length of the series of generated 64-bit values before it repeats) is the product |
78 * of the periods of the subgenerators, that is, 2<sup>64</sup>(2<sup>128</sup>-1), |
79 * of the periods of the subgenerators, that is, 2<sup>64</sup>(2<sup>128</sup>-1), |
79 * which is just slightly smaller than 2<sup>192</sup>. Moreover, if two distinct |
80 * which is just slightly smaller than 2<sup>192</sup>. Moreover, if two distinct |
80 * {@code L64X128MixRandom} objects have different {@code a} parameters, then their |
81 * {@link L64X128MixRandom} objects have different {@code a} parameters, then their |
81 * cycles of produced values will be different. |
82 * cycles of produced values will be different. |
82 * |
83 * <p> |
83 * <p>The 64-bit values produced by the {@code nextLong()} method are exactly equidistributed. |
84 * The 64-bit values produced by the {@code nextLong()} method are exactly equidistributed. |
84 * For any specific instance of {@code L64X128MixRandom}, over the course of its cycle each |
85 * For any specific instance of {@link L64X128MixRandom}, over the course of its cycle each |
85 * of the 2<sup>64</sup> possible {@code long} values will be produced 2<sup>128</sup>-1 times. |
86 * of the 2<sup>64</sup> possible {@code long} values will be produced 2<sup>128</sup>-1 times. |
86 * The values produced by the {@code nextInt()}, {@code nextFloat()}, and {@code nextDouble()} |
87 * The values produced by the {@code nextInt()}, {@code nextFloat()}, and {@code nextDouble()} |
87 * methods are likewise exactly equidistributed. |
88 * methods are likewise exactly equidistributed. |
88 * |
89 * <p> |
89 * <p>In fact, the 64-bit values produced by the {@code nextLong()} method are 2-equidistributed. |
90 * In fact, the 64-bit values produced by the {@code nextLong()} method are 2-equidistributed. |
90 * To be precise: for any specific instance of {@code L64X128MixRandom}, consider |
91 * To be precise: for any specific instance of {@link L64X128MixRandom}, consider |
91 * the (overlapping) length-2 subsequences of the cycle of 64-bit values produced by |
92 * the (overlapping) length-2 subsequences of the cycle of 64-bit values produced by |
92 * {@code nextLong()} (assuming no other methods are called that would affect the state). |
93 * {@code nextLong()} (assuming no other methods are called that would affect the state). |
93 * There are 2<sup>64</sup>(2<sup>128</sup>-1) such subsequences, and each subsequence, |
94 * There are 2<sup>64</sup>(2<sup>128</sup>-1) such subsequences, and each subsequence, |
94 * which consists of 2 64-bit values, can have one of 2<sup>128</sup> values. Of those |
95 * which consists of 2 64-bit values, can have one of 2<sup>128</sup> values. Of those |
95 * 2<sup>128</sup> subsequence values, nearly all of them (2<sup>128</sup>-2<sup>64</sup>) |
96 * 2<sup>128</sup> subsequence values, nearly all of them (2<sup>128</sup>-2<sup>64</sup>) |
96 * occur 2<sup>64</sup> times over the course of the entire cycle, and the other |
97 * occur 2<sup>64</sup> times over the course of the entire cycle, and the other |
97 * 2<sup>64</sup> subsequence values occur only 2<sup>64</sup>-1 times. So the ratio |
98 * 2<sup>64</sup> subsequence values occur only 2<sup>64</sup>-1 times. So the ratio |
98 * of the probability of getting one of the less common subsequence values and the |
99 * of the probability of getting one of the less common subsequence values and the |
99 * probability of getting one of the more common subsequence values is 1-2<sup>-64</sup>. |
100 * probability of getting one of the more common subsequence values is 1-2<sup>-64</sup>. |
100 * (Note that the set of 2<sup>64</sup> less-common subsequence values will differ from |
101 * (Note that the set of 2<sup>64</sup> less-common subsequence values will differ from |
101 * one instance of {@code L64X128MixRandom} to another, as a function of the additive |
102 * one instance of {@link L64X128MixRandom} to another, as a function of the additive |
102 * parameter of the LCG.) The values produced by the {@code nextInt()}, {@code nextFloat()}, |
103 * parameter of the LCG.) The values produced by the {@code nextInt()}, {@code nextFloat()}, |
103 * and {@code nextDouble()} methods are likewise 2-equidistributed. |
104 * and {@code nextDouble()} methods are likewise 2-equidistributed. |
104 * |
105 * <p> |
105 * <p>Method {@link #split} constructs and returns a new {@code L64X128MixRandom} |
106 * Method {@link #split} constructs and returns a new {@link L64X128MixRandom} |
106 * instance that shares no mutable state with the current instance. However, with |
107 * instance that shares no mutable state with the current instance. However, with |
107 * very high probability, the values collectively generated by the two objects |
108 * very high probability, the values collectively generated by the two objects |
108 * have the same statistical properties as if the same quantity of values were |
109 * have the same statistical properties as if the same quantity of values were |
109 * generated by a single thread using a single {@code L64X128MixRandom} object. |
110 * generated by a single thread using a single {@link L64X128MixRandom} object. |
110 * This is because, with high probability, distinct {@code L64X128MixRandom} objects |
111 * This is because, with high probability, distinct {@link L64X128MixRandom} objects |
111 * have distinct {@code a} parameters and therefore use distinct members of the |
112 * have distinct {@code a} parameters and therefore use distinct members of the |
112 * algorithmic family; and even if their {@code a} parameters are the same, with |
113 * algorithmic family; and even if their {@code a} parameters are the same, with |
113 * very high probability they will traverse different parts of their common state |
114 * very high probability they will traverse different parts of their common state |
114 * cycle. |
115 * cycle. |
115 * |
116 * <p> |
116 * <p>As with {@link java.util.SplittableRandom}, instances of |
117 * As with {@link java.util.SplittableRandom}, instances of |
117 * {@code L64X128MixRandom} are <em>not</em> thread-safe. |
118 * {@link L64X128MixRandom} are <em>not</em> thread-safe. |
118 * They are designed to be split, not shared, across threads. For |
119 * They are designed to be split, not shared, across threads. For |
119 * example, a {@link java.util.concurrent.ForkJoinTask} fork/join-style |
120 * example, a {@link java.util.concurrent.ForkJoinTask} fork/join-style |
120 * computation using random numbers might include a construction |
121 * computation using random numbers might include a construction |
121 * of the form {@code new Subtask(someL64X128MixRandom.split()).fork()}. |
122 * of the form {@code new Subtask(someL64X128MixRandom.split()).fork()}. |
122 * |
123 * <p> |
123 * <p>This class provides additional methods for generating random |
124 * This class provides additional methods for generating random |
124 * streams, that employ the above techniques when used in |
125 * streams, that employ the above techniques when used in |
125 * {@code stream.parallel()} mode. |
126 * {@code stream.parallel()} mode. |
126 * |
127 * <p> |
127 * <p>Instances of {@code L64X128MixRandom} are not cryptographically |
128 * Instances of {@link L64X128MixRandom} are not cryptographically |
128 * secure. Consider instead using {@link java.security.SecureRandom} |
129 * secure. Consider instead using {@link java.security.SecureRandom} |
129 * in security-sensitive applications. Additionally, |
130 * in security-sensitive applications. Additionally, |
130 * default-constructed instances do not use a cryptographically random |
131 * default-constructed instances do not use a cryptographically random |
131 * seed unless the {@linkplain System#getProperty system property} |
132 * seed unless the {@linkplain System#getProperty system property} |
132 * {@code java.util.secureRandomSeed} is set to {@code true}. |
133 * {@code java.util.secureRandomSeed} is set to {@code true}. |
133 * |
134 * |
134 * @author Guy Steele |
135 * @since 14 |
135 * @since 1.9 |
|
136 */ |
136 */ |
137 public final class L64X128MixRandom extends AbstractSplittableRng { |
137 public final class L64X128MixRandom extends AbstractSplittableRNG { |
138 |
138 |
139 /* |
139 /* |
140 * Implementation Overview. |
140 * Implementation Overview. |
141 * |
141 * |
142 * The split operation uses the current generator to choose four new 64-bit |
142 * The split operation uses the current generator to choose four new 64-bit |
143 * long values that are then used to initialize the parameter `a` and the |
143 * long values that are then used to initialize the parameter `a` and the |
144 * state variables `s`, `x0`, and `x1` for a newly constructed generator. |
144 * state variables `s`, `x0`, and `x1` for a newly constructed generator. |
145 * |
145 * |
146 * With extremely high probability, no two generators so chosen |
146 * With extremely high probability, no two generators so chosen |
147 * will have the same `a` parameter, and testing has indicated |
147 * will have the same `a` parameter, and testing has indicated |
148 * that the values generated by two instances of {@code L64X128MixRandom} |
148 * that the values generated by two instances of {@link L64X128MixRandom} |
149 * will be (approximately) independent if have different values for `a`. |
149 * will be (approximately) independent if have different values for `a`. |
150 * |
150 * |
151 * The default (no-argument) constructor, in essence, uses |
151 * The default (no-argument) constructor, in essence, uses |
152 * "defaultGen" to generate four new 64-bit values for the same |
152 * "defaultGen" to generate four new 64-bit values for the same |
153 * purpose. Multiple generators created in this way will certainly |
153 * purpose. Multiple generators created in this way will certainly |
211 * @param s initial state for the LCG |
211 * @param s initial state for the LCG |
212 * @param x0 first word of the initial state for the xorshift generator |
212 * @param x0 first word of the initial state for the xorshift generator |
213 * @param x1 second word of the initial state for the xorshift generator |
213 * @param x1 second word of the initial state for the xorshift generator |
214 */ |
214 */ |
215 public L64X128MixRandom(long a, long s, long x0, long x1) { |
215 public L64X128MixRandom(long a, long s, long x0, long x1) { |
216 // Force a to be odd. |
216 // Force a to be odd. |
217 this.a = a | 1; |
|
218 this.s = s; |
|
219 this.x0 = x0; |
|
220 this.x1 = x1; |
|
221 // If x0 and x1 are both zero, we must choose nonzero values. |
|
222 if ((x0 | x1) == 0) { |
|
223 // At least one of the two values generated here will be nonzero. |
|
224 this.x0 = RngSupport.mixStafford13(s += RngSupport.GOLDEN_RATIO_64); |
|
225 this.x1 = RngSupport.mixStafford13(s + RngSupport.GOLDEN_RATIO_64); |
|
226 } |
|
227 } |
|
228 |
|
229 /** |
|
230 * Creates a new instance of {@code L64X128MixRandom} using the |
|
231 * specified {@code long} value as the initial seed. Instances of |
|
232 * {@code L64X128MixRandom} created with the same seed in the same |
|
233 * program generate identical sequences of values. |
|
234 * |
|
235 * @param seed the initial seed |
|
236 */ |
|
237 public L64X128MixRandom(long seed) { |
|
238 // Using a value with irregularly spaced 1-bits to xor the seed |
|
239 // argument tends to improve "pedestrian" seeds such as 0 or |
|
240 // other small integers. We may as well use SILVER_RATIO_64. |
|
241 // |
|
242 // The seed is hashed by mixMurmur64 to produce the `a` parameter. |
|
243 // The seed is hashed by mixStafford13 to produce the initial `x0`, |
|
244 // which will then be used to produce the first generated value. |
|
245 // Then x1 is filled in as if by a SplitMix PRNG with |
|
246 // GOLDEN_RATIO_64 as the gamma value and Stafford13 as the mixer. |
|
247 this(RngSupport.mixMurmur64(seed ^= RngSupport.SILVER_RATIO_64), |
|
248 1, |
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249 RngSupport.mixStafford13(seed), |
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250 RngSupport.mixStafford13(seed + RngSupport.GOLDEN_RATIO_64)); |
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251 } |
|
252 |
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253 /** |
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254 * Creates a new instance of {@code L64X128MixRandom} that is likely to |
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255 * generate sequences of values that are statistically independent |
|
256 * of those of any other instances in the current program execution, |
|
257 * but may, and typically does, vary across program invocations. |
|
258 */ |
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259 public L64X128MixRandom() { |
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260 // Using GOLDEN_RATIO_64 here gives us a good Weyl sequence of values. |
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261 this(defaultGen.getAndAdd(RngSupport.GOLDEN_RATIO_64)); |
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262 } |
|
263 |
|
264 /** |
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265 * Creates a new instance of {@code L64X128MixRandom} using the specified array of |
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266 * initial seed bytes. Instances of {@code L64X128MixRandom} created with the same |
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267 * seed array in the same program execution generate identical sequences of values. |
|
268 * |
|
269 * @param seed the initial seed |
|
270 */ |
|
271 public L64X128MixRandom(byte[] seed) { |
|
272 // Convert the seed to 4 long values, of which the last 2 are not all zero. |
|
273 long[] data = RngSupport.convertSeedBytesToLongs(seed, 4, 2); |
|
274 long a = data[0], s = data[1], x0 = data[2], x1 = data[3]; |
|
275 // Force a to be odd. |
|
276 this.a = a | 1; |
217 this.a = a | 1; |
277 this.s = s; |
218 this.s = s; |
278 this.x0 = x0; |
219 this.x0 = x0; |
279 this.x1 = x1; |
220 this.x1 = x1; |
|
221 // If x0 and x1 are both zero, we must choose nonzero values. |
|
222 if ((x0 | x1) == 0) { |
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223 // At least one of the two values generated here will be nonzero. |
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224 this.x0 = RNGSupport.mixStafford13(s += RNGSupport.GOLDEN_RATIO_64); |
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225 this.x1 = RNGSupport.mixStafford13(s + RNGSupport.GOLDEN_RATIO_64); |
|
226 } |
|
227 } |
|
228 |
|
229 /** |
|
230 * Creates a new instance of {@link L64X128MixRandom} using the |
|
231 * specified {@code long} value as the initial seed. Instances of |
|
232 * {@link L64X128MixRandom} created with the same seed in the same |
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233 * program generate identical sequences of values. |
|
234 * |
|
235 * @param seed the initial seed |
|
236 */ |
|
237 public L64X128MixRandom(long seed) { |
|
238 // Using a value with irregularly spaced 1-bits to xor the seed |
|
239 // argument tends to improve "pedestrian" seeds such as 0 or |
|
240 // other small integers. We may as well use SILVER_RATIO_64. |
|
241 // |
|
242 // The seed is hashed by mixMurmur64 to produce the `a` parameter. |
|
243 // The seed is hashed by mixStafford13 to produce the initial `x0`, |
|
244 // which will then be used to produce the first generated value. |
|
245 // Then x1 is filled in as if by a SplitMix PRNG with |
|
246 // GOLDEN_RATIO_64 as the gamma value and Stafford13 as the mixer. |
|
247 this(RNGSupport.mixMurmur64(seed ^= RNGSupport.SILVER_RATIO_64), |
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248 1, |
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249 RNGSupport.mixStafford13(seed), |
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250 RNGSupport.mixStafford13(seed + RNGSupport.GOLDEN_RATIO_64)); |
|
251 } |
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252 |
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253 /** |
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254 * Creates a new instance of {@link L64X128MixRandom} that is likely to |
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255 * generate sequences of values that are statistically independent |
|
256 * of those of any other instances in the current program execution, |
|
257 * but may, and typically does, vary across program invocations. |
|
258 */ |
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259 public L64X128MixRandom() { |
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260 // Using GOLDEN_RATIO_64 here gives us a good Weyl sequence of values. |
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261 this(defaultGen.getAndAdd(RNGSupport.GOLDEN_RATIO_64)); |
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262 } |
|
263 |
|
264 /** |
|
265 * Creates a new instance of {@link L64X128MixRandom} using the specified array of |
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266 * initial seed bytes. Instances of {@link L64X128MixRandom} created with the same |
|
267 * seed array in the same program execution generate identical sequences of values. |
|
268 * |
|
269 * @param seed the initial seed |
|
270 */ |
|
271 public L64X128MixRandom(byte[] seed) { |
|
272 // Convert the seed to 4 long values, of which the last 2 are not all zero. |
|
273 long[] data = RNGSupport.convertSeedBytesToLongs(seed, 4, 2); |
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274 long a = data[0], s = data[1], x0 = data[2], x1 = data[3]; |
|
275 // Force a to be odd. |
|
276 this.a = a | 1; |
|
277 this.s = s; |
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278 this.x0 = x0; |
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279 this.x1 = x1; |
280 } |
280 } |
281 |
281 |
282 /* ---------------- public methods ---------------- */ |
282 /* ---------------- public methods ---------------- */ |
283 |
283 |
284 /** |
284 /** |
285 * Constructs and returns a new instance of {@code L64X128MixRandom} |
285 * Constructs and returns a new instance of {@link L64X128MixRandom} |
286 * that shares no mutable state with this instance. |
286 * that shares no mutable state with this instance. |
287 * However, with very high probability, the set of values collectively |
287 * However, with very high probability, the set of values collectively |
288 * generated by the two objects has the same statistical properties as if |
288 * generated by the two objects has the same statistical properties as if |
289 * same the quantity of values were generated by a single thread using |
289 * same the quantity of values were generated by a single thread using |
290 * a single {@code L64X128MixRandom} object. Either or both of the two |
290 * a single {@link L64X128MixRandom} object. Either or both of the two |
291 * objects may be further split using the {@code split} method, |
291 * objects may be further split using the {@code split} method, |
292 * and the same expected statistical properties apply to the |
292 * and the same expected statistical properties apply to the |
293 * entire set of generators constructed by such recursive splitting. |
293 * entire set of generators constructed by such recursive splitting. |
294 * |
294 * |
295 * @param source a {@code SplittableRng} instance to be used instead |
295 * @param source a {@link SplittableRNG} instance to be used instead |
296 * of this one as a source of pseudorandom bits used to |
296 * of this one as a source of pseudorandom bits used to |
297 * initialize the state of the new ones. |
297 * initialize the state of the new ones. |
298 * @return a new instance of {@code L64X128MixRandom} |
298 * |
299 */ |
299 * @return a new instance of {@link L64X128MixRandom} |
300 public L64X128MixRandom split(SplittableRng source) { |
300 */ |
301 // Literally pick a new instance "at random". |
301 public L64X128MixRandom split(SplittableRNG source) { |
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302 // Literally pick a new instance "at random". |
302 return new L64X128MixRandom(source.nextLong(), source.nextLong(), |
303 return new L64X128MixRandom(source.nextLong(), source.nextLong(), |
303 source.nextLong(), source.nextLong()); |
304 source.nextLong(), source.nextLong()); |
304 } |
305 } |
305 |
306 |
306 /** |
307 /** |
307 * Returns a pseudorandom {@code long} value. |
308 * Returns a pseudorandom {@code long} value. |
308 * |
309 * |
309 * @return a pseudorandom {@code long} value |
310 * @return a pseudorandom {@code long} value |
310 */ |
311 */ |
311 |
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312 public long nextLong() { |
312 public long nextLong() { |
313 final long z = s + x0; |
313 final long z = s + x0; |
314 s = m * s + a; // LCG |
314 s = M * s + a; // LCG |
315 long q0 = x0, q1 = x1; |
315 long q0 = x0, q1 = x1; |
316 { q1 ^= q0; q0 = Long.rotateLeft(q0, 24); q0 = q0 ^ q1 ^ (q1 << 16); q1 = Long.rotateLeft(q1, 37); } // xoroshiro128v1_0 |
316 { q1 ^= q0; q0 = Long.rotateLeft(q0, 24); q0 = q0 ^ q1 ^ (q1 << 16); q1 = Long.rotateLeft(q1, 37); } // xoroshiro128v1_0 |
317 x0 = q0; x1 = q1; |
317 x0 = q0; x1 = q1; |
318 return Long.rotateLeft(z * 5, 7) * 9; // "starstar" mixing function |
318 return Long.rotateLeft(z * 5, 7) * 9; // "starstar" mixing function |
319 } |
319 } |
320 |
320 |
321 public BigInteger period() { return thePeriod; } |
321 public BigInteger period() { |
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322 return PERIOD; |
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323 } |
322 } |
324 } |