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Back out 835853a88b03 (bug 1206356) for at least Android/B2G bustage
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/* -*- Mode: C++; tab-width: 8; indent-tabs-mode: nil; c-basic-offset: 2 -*- */
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/* vim: set ts=8 sts=2 et sw=2 tw=80: */
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/* This Source Code Form is subject to the terms of the Mozilla Public
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* License, v. 2.0. If a copy of the MPL was not distributed with this
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* file, You can obtain one at http://mozilla.org/MPL/2.0/. */
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/* The xorshift128+ pseudo-random number generator. */
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#ifndef mozilla_XorShift128Plus_h
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#define mozilla_XorShift128Plus_h
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#include "mozilla/Assertions.h"
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#include "mozilla/FloatingPoint.h"
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#include <math.h>
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#include <memory.h>
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#include <stdint.h>
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namespace mozilla {
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/*
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* A stream of pseudo-random numbers generated using the xorshift+ technique
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* described here:
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*
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* Vigna, Sebastiano (2014). "Further scramblings of Marsaglia's xorshift
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* generators". arXiv:1404.0390 (http://arxiv.org/abs/1404.0390)
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*
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* That paper says:
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*
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* In particular, we propose a tightly coded xorshift128+ generator that
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* does not fail systematically any test from the BigCrush suite of TestU01
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* (even reversed) and generates 64 pseudorandom bits in 1.10 ns on an
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* Intel(R) Core(TM) i7-4770 CPU @3.40GHz (Haswell). It is the fastest
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* generator we are aware of with such empirical statistical properties.
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*
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* This generator is not suitable as a cryptographically secure random number
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* generator.
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*/
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class XorShift128PlusRNG {
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uint64_t mState[2];
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public:
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/*
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* Construct a xorshift128+ pseudo-random number stream using |aInitial0| and
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* |aInitial1| as the initial state. These may not both be zero; ideally, they
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* should have an almost even mix of zero and one bits.
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*/
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XorShift128PlusRNG(uint64_t aInitial0, uint64_t aInitial1) {
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setState(aInitial0, aInitial1);
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}
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/* Return a pseudo-random 64-bit number. */
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uint64_t next() {
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uint64_t s1 = mState[0];
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const uint64_t s0 = mState[1];
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mState[0] = s0;
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s1 ^= s1 << 23;
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mState[1] = s1 ^ s0 ^ (s1 >> 17) ^ (s0 >> 26);
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return mState[1] + s0;
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}
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/*
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* Return a pseudo-random floating-point value in the range [0, 1).
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* More precisely, choose an integer in the range [0, 2**53) and
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* divide it by 2**53.
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*/
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double nextDouble() {
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/*
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* Because the IEEE 64-bit floating point format stores the leading '1' bit
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* of the mantissa implicitly, it effectively represents a mantissa in the
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* range [0, 2**53) in only 52 bits. FloatingPoint<double>::kExponentShift
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* is the width of the bitfield in the in-memory format, so we must add one
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* to get the mantissa's range.
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*/
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static const int kMantissaBits =
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mozilla::FloatingPoint<double>::kExponentShift + 1;
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uint64_t mantissa = next() & ((1ULL << kMantissaBits) - 1);
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return ldexp(mantissa, -kMantissaBits);
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}
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/*
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* Set the stream's current state to |aState0| and |aState1|. These must not
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* both be zero; ideally, they should have an almost even mix of zero and one
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* bits.
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*/
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void setState(uint64_t aState0, uint64_t aState1) {
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MOZ_ASSERT(aState0 || aState1);
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mState[0] = aState0;
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mState[1] = aState1;
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}
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};
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} // namespace mozilla
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#endif // mozilla_XorShift128Plus_h
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@ -91,7 +91,6 @@ EXPORTS.mozilla = [
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'Variant.h',
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'Vector.h',
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'WeakPtr.h',
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'XorShift128PlusRNG.h',
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'unused.h',
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]
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@ -1,110 +0,0 @@
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/* -*- Mode: C++; tab-width: 8; indent-tabs-mode: nil; c-basic-offset: 2 -*- */
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/* vim: set ts=8 sts=2 et sw=2 tw=80: */
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/* This Source Code Form is subject to the terms of the Mozilla Public
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* License, v. 2.0. If a copy of the MPL was not distributed with this file,
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* You can obtain one at http://mozilla.org/MPL/2.0/. */
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#include <math.h>
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#include "mozilla/Assertions.h"
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#include "mozilla/PodOperations.h"
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#include "mozilla/XorShift128PlusRNG.h"
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static void
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TestDumbSequence()
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{
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mozilla::XorShift128PlusRNG rng(1, 4);
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// Calculated by hand following the algorithm given in the paper. The upper
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// bits are mostly zero because we started with a poor seed; once it has run
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// for a while, we'll get an even mix of ones and zeros in all 64 bits.
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MOZ_RELEASE_ASSERT(rng.next() == 0x800049);
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MOZ_RELEASE_ASSERT(rng.next() == 0x3000186);
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MOZ_RELEASE_ASSERT(rng.next() == 0x400003001145);
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// Using ldexp here lets us write out the mantissa in hex, so we can compare
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// them with the results generated by hand.
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MOZ_RELEASE_ASSERT(rng.nextDouble() == ldexp(0x1400003105049, -53));
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MOZ_RELEASE_ASSERT(rng.nextDouble() == ldexp(0x2000802e49146, -53));
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MOZ_RELEASE_ASSERT(rng.nextDouble() == ldexp(0x248300468544d, -53));
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}
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static size_t
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Population(uint64_t n)
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{
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size_t pop = 0;
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while (n > 0) {
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n &= n-1; // Clear the rightmost 1-bit in n.
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pop++;
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}
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return pop;
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}
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static void
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TestPopulation()
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{
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mozilla::XorShift128PlusRNG rng(698079309544035222ULL, 6012389156611637584ULL);
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// Give it some time to warm up; it should tend towards more
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// even distributions of zeros and ones.
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for (size_t i = 0; i < 40; i++)
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rng.next();
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for (size_t i = 0; i < 40; i++) {
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size_t pop = Population(rng.next());
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MOZ_RELEASE_ASSERT(24 <= pop && pop <= 40);
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}
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}
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static void
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TestSetState()
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{
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static const uint64_t seed[2] = { 1795644156779822404ULL, 14162896116325912595ULL };
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mozilla::XorShift128PlusRNG rng(seed[0], seed[1]);
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const size_t n = 10;
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uint64_t log[n];
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for (size_t i = 0; i < n; i++)
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log[i] = rng.next();
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rng.setState(seed[0], seed[1]);
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for (size_t i = 0; i < n; i++)
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MOZ_RELEASE_ASSERT(log[i] == rng.next());
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}
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static void
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TestDoubleDistribution()
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{
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mozilla::XorShift128PlusRNG rng(0xa207aaede6859736, 0xaca6ca5060804791);
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const size_t n = 100;
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size_t bins[n];
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mozilla::PodArrayZero(bins);
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// This entire file runs in 0.006s on my laptop. Generating
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// more numbers lets us put tighter bounds on the bins.
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for (size_t i = 0; i < 100000; i++) {
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double d = rng.nextDouble();
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MOZ_RELEASE_ASSERT(0.0 <= d && d < 1.0);
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bins[(int) (d * n)]++;
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}
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for (size_t i = 0; i < n; i++) {
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MOZ_RELEASE_ASSERT(900 <= bins[i] && bins[i] <= 1100);
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}
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}
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int
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main()
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{
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TestDumbSequence();
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TestPopulation();
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TestSetState();
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TestDoubleDistribution();
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return 0;
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}
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@ -40,7 +40,6 @@ CppUnitTests([
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'TestVariant',
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'TestVector',
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'TestWeakPtr',
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'TestXorShift128PlusRNG',
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])
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if not CONFIG['MOZ_ASAN']:
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