author | jlaskey |
Fri, 26 Jul 2019 15:37:05 -0300 | |
branch | JDK-8193209-branch |
changeset 57547 | 56cbdc3ea079 |
parent 57437 | f02ffcb61dce |
permissions | -rw-r--r-- |
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/* |
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* Copyright (c) 2013, 2019, 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.random; |
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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.LeapableGenerator; |
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import java.util.random.RandomSupport.AbstractArbitrarilyJumpableGenerator; |
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/** |
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* A generator of uniform pseudorandom values applicable for use in |
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* (among other contexts) isolated parallel computations that may |
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* generate subtasks. Class {@link MRG32k3a} implements |
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* interfaces {@link RandomGenerator} and {@link AbstractArbitrarilyJumpableGenerator}, |
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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 Xoroshiro128PlusMRG32k3a} objects |
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* by "jumping" or "leaping". |
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* <p> |
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* Instances {@link Xoroshiro128Plus} 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 Xoroshiro128Plus} that traverse |
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* other parts of the state cycle. |
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* <p> |
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* Instances of {@link MRG32k3a} 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 14 |
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*/ |
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public final class MRG32k3a extends AbstractArbitrarilyJumpableGenerator { |
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/* |
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* Implementation Overview. |
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* |
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* See http://simul.iro.umontreal.ca/rng/MRG32k3a.c . |
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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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private final static double NORM1 = 2.328306549295728e-10; |
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private final static double NORM2 = 2.328318824698632e-10; |
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private final static double M1 = 4294967087.0; |
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private final static double M2 = 4294944443.0; |
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private final static double A12 = 1403580.0; |
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private final static double A13N = 810728.0; |
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private final static double A21 = 527612.0; |
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private final static double A23N = 1370589.0; |
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private final static int M1_DEFICIT = 209; |
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/** |
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* The per-instance state. |
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The seeds for s10, s11, s12 must be integers in [0, m1 - 1] and not all 0. |
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The seeds for s20, s21, s22 must be integers in [0, m2 - 1] and not all 0. |
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*/ |
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private double s10, s11, s12, |
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s20, s21, s22; |
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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 DEFAULT_GEN = |
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new AtomicLong(RandomSupport.initialSeed()); |
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/* |
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32-bits Random number generator U(0,1): MRG32k3a |
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Author: Pierre L'Ecuyer, |
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Source: Good Parameter Sets for Combined Multiple Recursive Random |
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Number Generators, |
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Shorter version in Operations Research, |
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47, 1 (1999), 159--164. |
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--------------------------------------------------------- |
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*/ |
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private void nextState() { |
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/* Component 1 */ |
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double p1 = A12 * s11 - A13N * s10; |
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double k1 = p1 / M1; p1 -= k1 * M1; if (p1 < 0.0) p1 += M1; |
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s10 = s11; s11 = s12; s12 = p1; |
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/* Component 2 */ |
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double p2 = A21 * s22 - A23N * s20; |
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double k2 = p2 / M2; p2 -= k2 * M2; if (p2 < 0.0) p2 += M2; |
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s20 = s21; s21 = s22; s22 = p2; |
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} |
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/** |
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* The form of nextInt used by IntStream Spliterators. |
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* Exactly the same as long version, except for types. |
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* |
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* @param origin the least value, unless greater than bound |
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* @param bound the upper bound (exclusive), must not equal origin |
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* |
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* @return a pseudorandom value |
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*/ |
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private int internalNextInt(int origin, int bound) { |
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if (origin < bound) { |
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final int n = bound - origin; |
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final int m = n - 1; |
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if (n > 0) { |
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int r; |
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for (int u = (int)nextDouble() >>> 1; |
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u + m + ((M1_DEFICIT + 1) >>> 1) - (r = u % n) < 0; |
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u = (int)nextDouble() >>> 1) |
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; |
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return (r + origin); |
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} else { |
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return RandomSupport.boundedNextInt(this, origin, bound); |
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} |
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} else { |
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return nextInt(); |
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} |
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} |
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private int internalNextInt(int bound) { |
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// Specialize internalNextInt for origin == 0, bound > 0 |
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final int n = bound; |
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final int m = n - 1; |
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int r; |
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for (int u = (int)nextDouble() >>> 1; |
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u + m + ((M1_DEFICIT + 1) >>> 1) - (r = u % n) < 0; |
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u = (int)nextDouble() >>> 1) |
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; |
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return r; |
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} |
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/** |
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* All arguments must be known to be nonnegative integral values |
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* less than the appropriate modulus. |
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*/ |
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private MRG32k3a(double s10, double s11, double s12, |
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double s20, double s21, double s22) { |
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this.s10 = s10; this.s11 = s11; this.s12 = s12; |
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this.s20 = s20; this.s21 = s21; this.s22 = s22; |
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if ((s10 == 0.0) && (s11 == 0.0) && (s12 == 0.0)) { |
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this.s10 = this.s11 = this.s12 = 12345.0; |
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} |
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if ((s20 == 0.0) && (s21 == 0.0) && (s22 == 0.0)) { |
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this.s20 = this.s21 = this.s21 = 12345.0; |
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} |
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} |
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/* ---------------- public methods ---------------- */ |
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/** |
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* Creates a new MRG32k3a instance using six specified {@code int} |
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* initial seed values. MRG32k3a instances created with the same |
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* seeds in the same program generate identical sequences of values. |
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* If all six seed values are zero, the generator is seeded to a |
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* widely used initialization of MRG32k3a: all six state variables |
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* are set to 12345. |
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* |
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* @param s10 the first seed value for the first subgenerator |
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* @param s11 the second seed value for the first subgenerator |
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* @param s12 the third seed value for the first subgenerator |
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* @param s20 the first seed value for the second subgenerator |
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* @param s21 the second seed value for the second subgenerator |
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* @param s22 the third seed value for the second subgenerator |
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*/ |
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public MRG32k3a(int s10, int s11, int s12, |
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int s20, int s21, int s22) { |
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this(((double)(((long)s10) & 0x00000000ffffffffL)) % M1, |
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((double)(((long)s11) & 0x00000000ffffffffL)) % M1, |
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((double)(((long)s12) & 0x00000000ffffffffL)) % M1, |
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((double)(((long)s20) & 0x00000000ffffffffL)) % M2, |
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((double)(((long)s21) & 0x00000000ffffffffL)) % M2, |
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((double)(((long)s22) & 0x00000000ffffffffL)) % M2); |
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} |
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/** |
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* Creates a new MRG32k3a instance using the specified |
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* initial seed. MRG32k3a instances created with the same |
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* seed in the same program generate identical sequences of values. |
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* An argument of 0 seeds the generator to a widely used initialization |
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* of MRG32k3a: all six state variables are set to 12345. |
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* |
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* @param seed the initial seed |
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*/ |
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public MRG32k3a(long seed) { |
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this((double)((seed & 0x7FF) + 12345), |
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(double)(((seed >>> 11) & 0x7FF) + 12345), |
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(double)(((seed >>> 22) & 0x7FF) + 12345), |
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(double)(((seed >>> 33) & 0x7FF) + 12345), |
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(double)(((seed >>> 44) & 0x7FF) + 12345), |
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(double)((seed >>> 55) + 12345)); |
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} |
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/** |
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* Creates a new MRG32k3a 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 |
|
221 |
* may, and typically does, vary across program invocations. |
|
222 |
*/ |
|
223 |
public MRG32k3a() { |
|
57547 | 224 |
this(DEFAULT_GEN.getAndAdd(RandomSupport.GOLDEN_RATIO_64)); |
57388 | 225 |
} |
226 |
||
227 |
/** |
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* Creates a new instance of {@link Xoshiro256StarStar} using the specified array of |
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* initial seed bytes. Instances of {@link Xoshiro256StarStar} created with the same |
57388 | 230 |
* seed array in the same program execution generate identical sequences of values. |
231 |
* |
|
232 |
* @param seed the initial seed |
|
233 |
*/ |
|
234 |
public MRG32k3a(byte[] seed) { |
|
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// Convert the seed to 6 int values. |
57547 | 236 |
int[] data = RandomSupport.convertSeedBytesToInts(seed, 6, 0); |
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237 |
int s10 = data[0], s11 = data[1], s12 = data[2]; |
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int s20 = data[3], s21 = data[4], s22 = data[5]; |
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239 |
this.s10 = ((double)(((long)s10) & 0x00000000ffffffffL)) % M1; |
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this.s11 = ((double)(((long)s11) & 0x00000000ffffffffL)) % M1; |
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this.s12 = ((double)(((long)s12) & 0x00000000ffffffffL)) % M1; |
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242 |
this.s20 = ((double)(((long)s20) & 0x00000000ffffffffL)) % M2; |
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243 |
this.s21 = ((double)(((long)s21) & 0x00000000ffffffffL)) % M2; |
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this.s22 = ((double)(((long)s22) & 0x00000000ffffffffL)) % M2; |
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245 |
if ((s10 == 0.0) && (s11 == 0.0) && (s12 == 0.0)) { |
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246 |
this.s10 = this.s11 = this.s12 = 12345.0; |
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247 |
} |
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248 |
if ((s20 == 0.0) && (s21 == 0.0) && (s22 == 0.0)) { |
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249 |
this.s20 = this.s21 = this.s21 = 12345.0; |
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250 |
} |
57388 | 251 |
} |
252 |
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253 |
public MRG32k3a copy() { |
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254 |
return new MRG32k3a(s10, s11, s12, s20, s21, s22); |
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255 |
} |
57388 | 256 |
|
257 |
/** |
|
258 |
* Returns a pseudorandom {@code double} value between zero |
|
259 |
* (exclusive) and one (exclusive). |
|
260 |
* |
|
261 |
* @return a pseudorandom {@code double} value between zero |
|
262 |
* (exclusive) and one (exclusive) |
|
263 |
*/ |
|
264 |
public double nextOpenDouble() { |
|
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265 |
nextState(); |
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266 |
double p1 = s12, p2 = s22; |
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267 |
if (p1 <= p2) |
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268 |
return ((p1 - p2 + M1) * NORM1); |
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269 |
else |
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270 |
return ((p1 - p2) * NORM1); |
57388 | 271 |
} |
272 |
||
273 |
/** |
|
274 |
* Returns a pseudorandom {@code double} value between zero |
|
275 |
* (inclusive) and one (exclusive). |
|
276 |
* |
|
277 |
* @return a pseudorandom {@code double} value between zero |
|
278 |
* (inclusive) and one (exclusive) |
|
279 |
*/ |
|
280 |
public double nextDouble() { |
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281 |
nextState(); |
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282 |
double p1 = s12, p2 = s22; |
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283 |
final double p = p1 * NORM1 - p2 * NORM2; |
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284 |
if (p < 0.0) return (p + 1.0); |
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285 |
else return p; |
57388 | 286 |
} |
287 |
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288 |
|
57388 | 289 |
/** |
290 |
* Returns a pseudorandom {@code float} value between zero |
|
291 |
* (inclusive) and one (exclusive). |
|
292 |
* |
|
293 |
* @return a pseudorandom {@code float} value between zero |
|
294 |
* (inclusive) and one (exclusive) |
|
295 |
*/ |
|
296 |
public float nextFloat() { |
|
297 |
return (float)nextDouble(); |
|
298 |
} |
|
299 |
||
300 |
/** |
|
301 |
* Returns a pseudorandom {@code int} value. |
|
302 |
* |
|
303 |
* @return a pseudorandom {@code int} value |
|
304 |
*/ |
|
305 |
public int nextInt() { |
|
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306 |
return (internalNextInt(0x10000) << 16) | internalNextInt(0x10000); |
57388 | 307 |
} |
308 |
||
309 |
/** |
|
310 |
* Returns a pseudorandom {@code long} value. |
|
311 |
* |
|
312 |
* @return a pseudorandom {@code long} value |
|
313 |
*/ |
|
314 |
||
315 |
public long nextLong() { |
|
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316 |
return (((long)internalNextInt(0x200000) << 43) | |
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|
317 |
((long)internalNextInt(0x200000) << 22) | |
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|
318 |
((long)internalNextInt(0x400000))); |
57388 | 319 |
} |
320 |
||
321 |
// Period is (m1**3 - 1)(m2**3 - 1)/2, or approximately 2**191. |
|
322 |
static BigInteger calculateThePeriod() { |
|
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323 |
BigInteger bigm1 = BigInteger.valueOf((long)M1); |
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324 |
BigInteger bigm2 = BigInteger.valueOf((long)M2); |
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325 |
BigInteger t1 = bigm1.multiply(bigm1).multiply(bigm1).subtract(BigInteger.ONE); |
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326 |
BigInteger t2 = bigm2.multiply(bigm2).multiply(bigm2).subtract(BigInteger.ONE); |
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327 |
return t1.shiftRight(1).multiply(t2); |
57388 | 328 |
} |
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|
329 |
|
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330 |
static final BigInteger PERIOD = calculateThePeriod(); |
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|
331 |
|
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332 |
public BigInteger period() { |
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333 |
return PERIOD; |
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334 |
} |
57388 | 335 |
|
336 |
// Jump and leap distances recommended in Section 1.3 of this paper: |
|
337 |
// Pierre L'Ecuyer, Richard Simard, E. Jack Chen, and W. David Kelton. |
|
338 |
// An Object-Oriented Random-Number Package with Many Long Streams and Substreams. |
|
339 |
// Operations Research 50, 6 (Nov--Dec 2002), 1073--1075. |
|
340 |
||
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|
341 |
public double defaultJumpDistance() { |
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342 |
return 0x1.0p76; // 2**76 |
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|
343 |
} |
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|
344 |
|
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|
345 |
public double defaultLeapDistance() { |
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346 |
return 0x1.0p127; // 2**127 |
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|
347 |
} |
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|
348 |
|
57388 | 349 |
public void jump(double distance) { |
350 |
if (distance < 0.0 || Double.isInfinite(distance) || distance != Math.floor(distance)) |
|
351 |
throw new IllegalArgumentException("jump distance must be a nonnegative finite integer"); |
|
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352 |
// We will compute a jump transformation (s => M s) for each LCG. |
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|
353 |
// We initialize each transformation to the identity transformation. |
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354 |
// Each will be turned into the d'th power of the corresponding base transformation. |
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355 |
long m1_00 = 1, m1_01 = 0, m1_02 = 0, |
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356 |
m1_10 = 0, m1_11 = 1, m1_12 = 0, |
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357 |
m1_20 = 0, m1_21 = 0, m1_22 = 1; |
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358 |
long m2_00 = 1, m2_01 = 0, m2_02 = 0, |
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359 |
m2_10 = 0, m2_11 = 1, m2_12 = 0, |
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360 |
m2_20 = 0, m2_21 = 0, m2_22 = 1; |
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361 |
// These are the base transformations, which will be repeatedly squared, |
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362 |
// and composed with the computed transformations for each 1-bit in distance. |
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363 |
long t1_00 = 0, t1_01 = 1, t1_02 = 0, |
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364 |
t1_10 = 0, t1_11 = 0, t1_12 = 1, |
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365 |
t1_20 = -(long)A13N, t1_21 = (long)A12, t1_22 = 0; |
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366 |
long t2_00 = 0, t2_01 = 1, t2_02 = 0, |
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367 |
t2_10 = 0, t2_11 = 0, t2_12 = 1, |
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368 |
t2_20 = -(long)A23N, t2_21 = (long)A21, t2_22 = 0; |
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369 |
while (distance > 0.0) { |
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370 |
final double dhalf = 0.5 * distance; |
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371 |
if (Math.floor(dhalf) != dhalf) { |
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372 |
// distance is odd: accumulate current squaring |
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373 |
final long n1_00 = m1_00 * t1_00 + m1_01 * t1_10 + m1_02 * t1_20; |
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374 |
final long n1_01 = m1_00 * t1_01 + m1_01 * t1_11 + m1_02 * t1_21; |
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375 |
final long n1_02 = m1_00 * t1_02 + m1_01 * t1_12 + m1_02 * t1_22; |
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376 |
final long n1_10 = m1_10 * t1_00 + m1_11 * t1_10 + m1_12 * t1_20; |
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377 |
final long n1_11 = m1_10 * t1_01 + m1_11 * t1_11 + m1_12 * t1_21; |
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378 |
final long n1_12 = m1_10 * t1_02 + m1_11 * t1_12 + m1_12 * t1_22; |
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379 |
final long n1_20 = m1_20 * t1_00 + m1_21 * t1_10 + m1_22 * t1_20; |
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380 |
final long n1_21 = m1_20 * t1_01 + m1_21 * t1_11 + m1_22 * t1_21; |
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381 |
final long n1_22 = m1_20 * t1_02 + m1_21 * t1_12 + m1_22 * t1_22; |
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|
382 |
m1_00 = Math.floorMod(n1_00, (long)M1); |
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changeset
|
383 |
m1_01 = Math.floorMod(n1_01, (long)M1); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
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diff
changeset
|
384 |
m1_02 = Math.floorMod(n1_02, (long)M1); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
385 |
m1_10 = Math.floorMod(n1_10, (long)M1); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
386 |
m1_11 = Math.floorMod(n1_11, (long)M1); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
387 |
m1_12 = Math.floorMod(n1_12, (long)M1); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
388 |
m1_20 = Math.floorMod(n1_20, (long)M1); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
389 |
m1_21 = Math.floorMod(n1_21, (long)M1); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
390 |
m1_22 = Math.floorMod(n1_22, (long)M1); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
391 |
final long n2_00 = m2_00 * t2_00 + m2_01 * t2_10 + m2_02 * t2_20; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
392 |
final long n2_01 = m2_00 * t2_01 + m2_01 * t2_11 + m2_02 * t2_21; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
393 |
final long n2_02 = m2_00 * t2_02 + m2_01 * t2_12 + m2_02 * t2_22; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
394 |
final long n2_10 = m2_10 * t2_00 + m2_11 * t2_10 + m2_12 * t2_20; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
395 |
final long n2_11 = m2_10 * t2_01 + m2_11 * t2_11 + m2_12 * t2_21; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
396 |
final long n2_12 = m2_10 * t2_02 + m2_11 * t2_12 + m2_12 * t2_22; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
397 |
final long n2_20 = m2_20 * t2_00 + m2_21 * t2_10 + m2_22 * t2_20; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
398 |
final long n2_21 = m2_20 * t2_01 + m2_21 * t2_11 + m2_22 * t2_21; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
399 |
final long n2_22 = m2_20 * t2_02 + m2_21 * t2_12 + m2_22 * t2_22; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
400 |
m2_00 = Math.floorMod(n2_00, (long)M2); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
401 |
m2_01 = Math.floorMod(n2_01, (long)M2); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
402 |
m2_02 = Math.floorMod(n2_02, (long)M2); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
403 |
m2_10 = Math.floorMod(n2_10, (long)M2); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
404 |
m2_11 = Math.floorMod(n2_11, (long)M2); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
405 |
m2_12 = Math.floorMod(n2_12, (long)M2); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
406 |
m2_20 = Math.floorMod(n2_20, (long)M2); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
407 |
m2_21 = Math.floorMod(n2_21, (long)M2); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
408 |
m2_22 = Math.floorMod(n2_22, (long)M2); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
409 |
} |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
410 |
// Square the base transformations. |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
411 |
{ |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
412 |
final long z1_00 = m1_00 * m1_00 + m1_01 * m1_10 + m1_02 * m1_20; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
413 |
final long z1_01 = m1_00 * m1_01 + m1_01 * m1_11 + m1_02 * m1_21; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
414 |
final long z1_02 = m1_00 * m1_02 + m1_01 * m1_12 + m1_02 * m1_22; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
415 |
final long z1_10 = m1_10 * m1_00 + m1_11 * m1_10 + m1_12 * m1_20; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
416 |
final long z1_11 = m1_10 * m1_01 + m1_11 * m1_11 + m1_12 * m1_21; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
417 |
final long z1_12 = m1_10 * m1_02 + m1_11 * m1_12 + m1_12 * m1_22; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
418 |
final long z1_20 = m1_20 * m1_00 + m1_21 * m1_10 + m1_22 * m1_20; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
419 |
final long z1_21 = m1_20 * m1_01 + m1_21 * m1_11 + m1_22 * m1_21; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
420 |
final long z1_22 = m1_20 * m1_02 + m1_21 * m1_12 + m1_22 * m1_22; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
421 |
m1_00 = Math.floorMod(z1_00, (long)M1); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
422 |
m1_01 = Math.floorMod(z1_01, (long)M1); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
423 |
m1_02 = Math.floorMod(z1_02, (long)M1); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
424 |
m1_10 = Math.floorMod(z1_10, (long)M1); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
425 |
m1_11 = Math.floorMod(z1_11, (long)M1); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
426 |
m1_12 = Math.floorMod(z1_12, (long)M1); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
427 |
m1_20 = Math.floorMod(z1_20, (long)M1); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
428 |
m1_21 = Math.floorMod(z1_21, (long)M1); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
429 |
m1_22 = Math.floorMod(z1_22, (long)M1); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
430 |
final long z2_00 = m2_00 * m2_00 + m2_01 * m2_10 + m2_02 * m2_20; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
431 |
final long z2_01 = m2_00 * m2_01 + m2_01 * m2_11 + m2_02 * m2_21; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
432 |
final long z2_02 = m2_00 * m2_02 + m2_01 * m2_12 + m2_02 * m2_22; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
433 |
final long z2_10 = m2_10 * m2_00 + m2_11 * m2_10 + m2_12 * m2_20; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
434 |
final long z2_11 = m2_10 * m2_01 + m2_11 * m2_11 + m2_12 * m2_21; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
435 |
final long z2_12 = m2_10 * m2_02 + m2_11 * m2_12 + m2_12 * m2_22; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
436 |
final long z2_20 = m2_20 * m2_00 + m2_21 * m2_10 + m2_22 * m2_20; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
437 |
final long z2_21 = m2_20 * m2_01 + m2_21 * m2_11 + m2_22 * m2_21; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
438 |
final long z2_22 = m2_20 * m2_02 + m2_21 * m2_12 + m2_22 * m2_22; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
439 |
m2_00 = Math.floorMod(z2_00, (long)M2); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
440 |
m2_01 = Math.floorMod(z2_01, (long)M2); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
441 |
m2_02 = Math.floorMod(z2_02, (long)M2); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
442 |
m2_10 = Math.floorMod(z2_10, (long)M2); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
443 |
m2_11 = Math.floorMod(z2_11, (long)M2); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
444 |
m2_12 = Math.floorMod(z2_12, (long)M2); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
445 |
m2_20 = Math.floorMod(z2_20, (long)M2); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
446 |
m2_21 = Math.floorMod(z2_21, (long)M2); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
447 |
m2_22 = Math.floorMod(z2_22, (long)M2); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
448 |
} |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
449 |
// Divide distance by 2. |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
450 |
distance = dhalf; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
451 |
} |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
452 |
final long w10 = m1_00 * (long)s10 + m1_01 * (long)s11 + m1_02 * (long)s12; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
453 |
final long w11 = m1_10 * (long)s10 + m1_11 * (long)s11 + m1_12 * (long)s12; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
454 |
final long w12 = m1_20 * (long)s10 + m1_21 * (long)s11 + m1_22 * (long)s12; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
455 |
s10 = Math.floorMod(w10, (long)M1); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
456 |
s11 = Math.floorMod(w11, (long)M1); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
457 |
s12 = Math.floorMod(w12, (long)M1); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
458 |
final long w20 = m2_00 * (long)s20 + m2_01 * (long)s21 + m2_02 * (long)s22; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
459 |
final long w21 = m2_10 * (long)s20 + m2_11 * (long)s21 + m2_12 * (long)s22; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
460 |
final long w22 = m2_20 * (long)s20 + m2_21 * (long)s21 + m2_22 * (long)s22; |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
461 |
s20 = Math.floorMod(w20, (long)M2); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
462 |
s21 = Math.floorMod(w21, (long)M2); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
463 |
s22 = Math.floorMod(w22, (long)M2); |
57388 | 464 |
} |
57437
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
465 |
|
57388 | 466 |
/** |
467 |
* Alter the state of this pseudorandom number generator so as to |
|
468 |
* jump forward a distance equal to 2<sup>{@code logDistance}</sup> |
|
469 |
* within its state cycle. |
|
470 |
* |
|
471 |
* @param logDistance the base-2 logarithm of the distance to jump |
|
472 |
* forward within the state cycle. Must be non-negative and |
|
473 |
* not greater than 192. |
|
57437
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
474 |
* |
57388 | 475 |
* @throws IllegalArgumentException if {@code logDistance} is |
476 |
* less than zero or 2<sup>{@code logDistance}</sup> is |
|
477 |
* greater than the period of this generator |
|
478 |
*/ |
|
479 |
public void jumpPowerOfTwo(int logDistance) { |
|
480 |
if (logDistance < 0 || logDistance > 192) |
|
57437
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
481 |
throw new IllegalArgumentException("logDistance must be non-negative and not greater than 192"); |
f02ffcb61dce
Rename Rng.java to RandomNumberGenerator.java, clean up javadoc and misc code changes
jlaskey
parents:
57436
diff
changeset
|
482 |
jump(Math.scalb(1.0, logDistance)); |
57388 | 483 |
} |
484 |
||
485 |
} |