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TestXorShift128PlusRNG.cpp (3034B)


      1 /* -*- Mode: C++; tab-width: 8; indent-tabs-mode: nil; c-basic-offset: 2 -*- */
      2 /* vim: set ts=8 sts=2 et sw=2 tw=80: */
      3 /* This Source Code Form is subject to the terms of the Mozilla Public
      4 * License, v. 2.0. If a copy of the MPL was not distributed with this file,
      5 * You can obtain one at http://mozilla.org/MPL/2.0/. */
      6 
      7 #include <math.h>
      8 
      9 #include "mozilla/Assertions.h"
     10 #include "mozilla/PodOperations.h"
     11 #include "mozilla/XorShift128PlusRNG.h"
     12 
     13 using mozilla::non_crypto::XorShift128PlusRNG;
     14 
     15 static void TestDumbSequence() {
     16  XorShift128PlusRNG rng(1, 4);
     17 
     18  // Calculated by hand following the algorithm given in the paper. The upper
     19  // bits are mostly zero because we started with a poor seed; once it has run
     20  // for a while, we'll get an even mix of ones and zeros in all 64 bits.
     21  MOZ_RELEASE_ASSERT(rng.next() == 0x800049);
     22  MOZ_RELEASE_ASSERT(rng.next() == 0x3000186);
     23  MOZ_RELEASE_ASSERT(rng.next() == 0x400003001145);
     24 
     25  // Using ldexp here lets us write out the mantissa in hex, so we can compare
     26  // them with the results generated by hand.
     27  MOZ_RELEASE_ASSERT(rng.nextDouble() ==
     28                     ldexp(static_cast<double>(0x1400003105049), -53));
     29  MOZ_RELEASE_ASSERT(rng.nextDouble() ==
     30                     ldexp(static_cast<double>(0x2000802e49146), -53));
     31  MOZ_RELEASE_ASSERT(rng.nextDouble() ==
     32                     ldexp(static_cast<double>(0x248300468544d), -53));
     33 }
     34 
     35 static size_t Population(uint64_t n) {
     36  size_t pop = 0;
     37 
     38  while (n > 0) {
     39    n &= n - 1;  // Clear the rightmost 1-bit in n.
     40    pop++;
     41  }
     42 
     43  return pop;
     44 }
     45 
     46 static void TestPopulation() {
     47  XorShift128PlusRNG rng(698079309544035222ULL, 6012389156611637584ULL);
     48 
     49  // Give it some time to warm up; it should tend towards more
     50  // even distributions of zeros and ones.
     51  for (size_t i = 0; i < 40; i++) rng.next();
     52 
     53  for (size_t i = 0; i < 40; i++) {
     54    size_t pop = Population(rng.next());
     55    MOZ_RELEASE_ASSERT(24 <= pop && pop <= 40);
     56  }
     57 }
     58 
     59 static void TestSetState() {
     60  static const uint64_t seed[2] = {1795644156779822404ULL,
     61                                   14162896116325912595ULL};
     62  XorShift128PlusRNG rng(seed[0], seed[1]);
     63 
     64  const size_t n = 10;
     65  uint64_t log[n];
     66 
     67  for (size_t i = 0; i < n; i++) log[i] = rng.next();
     68 
     69  rng.setState(seed[0], seed[1]);
     70 
     71  for (size_t i = 0; i < n; i++) MOZ_RELEASE_ASSERT(log[i] == rng.next());
     72 }
     73 
     74 static void TestDoubleDistribution() {
     75  XorShift128PlusRNG rng(0xa207aaede6859736, 0xaca6ca5060804791);
     76 
     77  const size_t n = 100;
     78  size_t bins[n];
     79  mozilla::PodArrayZero(bins);
     80 
     81  // This entire file runs in 0.006s on my laptop. Generating
     82  // more numbers lets us put tighter bounds on the bins.
     83  for (size_t i = 0; i < 100000; i++) {
     84    double d = rng.nextDouble();
     85    MOZ_RELEASE_ASSERT(0.0 <= d && d < 1.0);
     86    bins[(int)(d * n)]++;
     87  }
     88 
     89  for (size_t i = 0; i < n; i++) {
     90    MOZ_RELEASE_ASSERT(900 <= bins[i] && bins[i] <= 1100);
     91  }
     92 }
     93 
     94 int main() {
     95  TestDumbSequence();
     96  TestPopulation();
     97  TestSetState();
     98  TestDoubleDistribution();
     99 
    100  return 0;
    101 }