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// Copyright 2017 The Abseil Authors.
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//
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// Licensed under the Apache License, Version 2.0 (the "License");
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// you may not use this file except in compliance with the License.
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// You may obtain a copy of the License at
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//
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// https://www.apache.org/licenses/LICENSE-2.0
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//
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// Unless required by applicable law or agreed to in writing, software
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// distributed under the License is distributed on an "AS IS" BASIS,
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// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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// See the License for the specific language governing permissions and
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// limitations under the License.
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// Benchmarks for absl random distributions as well as a selection of the
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// C++ standard library random distributions.
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#include <algorithm>
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#include <cstddef>
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#include <cstdint>
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#include <initializer_list>
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#include <iterator>
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#include <limits>
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#include <random>
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#include <type_traits>
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#include <vector>
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#include "absl/base/macros.h"
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#include "absl/meta/type_traits.h"
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#include "absl/random/bernoulli_distribution.h"
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#include "absl/random/beta_distribution.h"
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#include "absl/random/exponential_distribution.h"
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#include "absl/random/gaussian_distribution.h"
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#include "absl/random/internal/fast_uniform_bits.h"
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#include "absl/random/internal/randen_engine.h"
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#include "absl/random/log_uniform_int_distribution.h"
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#include "absl/random/poisson_distribution.h"
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#include "absl/random/random.h"
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#include "absl/random/uniform_int_distribution.h"
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#include "absl/random/uniform_real_distribution.h"
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#include "absl/random/zipf_distribution.h"
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#include "benchmark/benchmark.h"
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namespace {
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// Seed data to avoid reading random_device() for benchmarks.
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uint32_t kSeedData[] = {
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0x1B510052, 0x9A532915, 0xD60F573F, 0xBC9BC6E4, 0x2B60A476, 0x81E67400,
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0x08BA6FB5, 0x571BE91F, 0xF296EC6B, 0x2A0DD915, 0xB6636521, 0xE7B9F9B6,
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0xFF34052E, 0xC5855664, 0x53B02D5D, 0xA99F8FA1, 0x08BA4799, 0x6E85076A,
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0x4B7A70E9, 0xB5B32944, 0xDB75092E, 0xC4192623, 0xAD6EA6B0, 0x49A7DF7D,
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0x9CEE60B8, 0x8FEDB266, 0xECAA8C71, 0x699A18FF, 0x5664526C, 0xC2B19EE1,
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0x193602A5, 0x75094C29, 0xA0591340, 0xE4183A3E, 0x3F54989A, 0x5B429D65,
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0x6B8FE4D6, 0x99F73FD6, 0xA1D29C07, 0xEFE830F5, 0x4D2D38E6, 0xF0255DC1,
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0x4CDD2086, 0x8470EB26, 0x6382E9C6, 0x021ECC5E, 0x09686B3F, 0x3EBAEFC9,
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0x3C971814, 0x6B6A70A1, 0x687F3584, 0x52A0E286, 0x13198A2E, 0x03707344,
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};
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// PrecompiledSeedSeq provides kSeedData to a conforming
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// random engine to speed initialization in the benchmarks.
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class PrecompiledSeedSeq {
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public:
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using result_type = uint32_t;
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PrecompiledSeedSeq() {}
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template <typename Iterator>
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PrecompiledSeedSeq(Iterator begin, Iterator end) {}
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template <typename T>
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PrecompiledSeedSeq(std::initializer_list<T> il) {}
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template <typename OutIterator>
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void generate(OutIterator begin, OutIterator end) {
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static size_t idx = 0;
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for (; begin != end; begin++) {
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*begin = kSeedData[idx++];
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if (idx >= ABSL_ARRAYSIZE(kSeedData)) {
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idx = 0;
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}
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}
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}
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size_t size() const { return ABSL_ARRAYSIZE(kSeedData); }
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template <typename OutIterator>
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void param(OutIterator out) const {
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std::copy(std::begin(kSeedData), std::end(kSeedData), out);
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}
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};
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// use_default_initialization<T> indicates whether the random engine
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// T must be default initialized, or whether we may initialize it using
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// a seed sequence. This is used because some engines do not accept seed
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// sequence-based initialization.
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template <typename E>
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using use_default_initialization = std::false_type;
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// make_engine<T, SSeq> returns a random_engine which is initialized,
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// either via the default constructor, when use_default_initialization<T>
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// is true, or via the indicated seed sequence, SSeq.
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template <typename Engine, typename SSeq = PrecompiledSeedSeq>
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typename absl::enable_if_t<!use_default_initialization<Engine>::value, Engine>
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make_engine() {
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// Initialize the random engine using the seed sequence SSeq, which
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// is constructed from the precompiled seed data.
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SSeq seq(std::begin(kSeedData), std::end(kSeedData));
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return Engine(seq);
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}
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template <typename Engine, typename SSeq = PrecompiledSeedSeq>
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typename absl::enable_if_t<use_default_initialization<Engine>::value, Engine>
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make_engine() {
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// Initialize the random engine using the default constructor.
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return Engine();
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}
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template <typename Engine, typename SSeq>
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void BM_Construct(benchmark::State& state) {
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for (auto _ : state) {
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auto rng = make_engine<Engine, SSeq>();
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benchmark::DoNotOptimize(rng());
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}
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}
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template <typename Engine>
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void BM_Direct(benchmark::State& state) {
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using value_type = typename Engine::result_type;
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// Direct use of the URBG.
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auto rng = make_engine<Engine>();
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for (auto _ : state) {
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benchmark::DoNotOptimize(rng());
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}
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state.SetBytesProcessed(sizeof(value_type) * state.iterations());
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}
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template <typename Engine>
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void BM_Generate(benchmark::State& state) {
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// std::generate makes a copy of the RNG; thus this tests the
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// copy-constructor efficiency.
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using value_type = typename Engine::result_type;
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std::vector<value_type> v(64);
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auto rng = make_engine<Engine>();
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while (state.KeepRunningBatch(64)) {
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std::generate(std::begin(v), std::end(v), rng);
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}
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}
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template <typename Engine, size_t elems>
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void BM_Shuffle(benchmark::State& state) {
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// Direct use of the Engine.
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std::vector<uint32_t> v(elems);
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while (state.KeepRunningBatch(elems)) {
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auto rng = make_engine<Engine>();
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std::shuffle(std::begin(v), std::end(v), rng);
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}
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}
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template <typename Engine, size_t elems>
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void BM_ShuffleReuse(benchmark::State& state) {
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// Direct use of the Engine.
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std::vector<uint32_t> v(elems);
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auto rng = make_engine<Engine>();
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while (state.KeepRunningBatch(elems)) {
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std::shuffle(std::begin(v), std::end(v), rng);
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}
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}
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template <typename Engine, typename Dist, typename... Args>
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void BM_Dist(benchmark::State& state, Args&&... args) {
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using value_type = typename Dist::result_type;
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auto rng = make_engine<Engine>();
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Dist dis{std::forward<Args>(args)...};
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// Compare the following loop performance:
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for (auto _ : state) {
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benchmark::DoNotOptimize(dis(rng));
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}
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state.SetBytesProcessed(sizeof(value_type) * state.iterations());
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}
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template <typename Engine, typename Dist>
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void BM_Large(benchmark::State& state) {
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using value_type = typename Dist::result_type;
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volatile value_type kMin = 0;
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volatile value_type kMax = std::numeric_limits<value_type>::max() / 2 + 1;
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BM_Dist<Engine, Dist>(state, kMin, kMax);
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}
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template <typename Engine, typename Dist>
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void BM_Small(benchmark::State& state) {
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using value_type = typename Dist::result_type;
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volatile value_type kMin = 0;
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volatile value_type kMax = std::numeric_limits<value_type>::max() / 64 + 1;
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BM_Dist<Engine, Dist>(state, kMin, kMax);
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}
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template <typename Engine, typename Dist, int A>
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void BM_Bernoulli(benchmark::State& state) {
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volatile double a = static_cast<double>(A) / 1000000;
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BM_Dist<Engine, Dist>(state, a);
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}
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template <typename Engine, typename Dist, int A, int B>
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void BM_Beta(benchmark::State& state) {
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using value_type = typename Dist::result_type;
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volatile value_type a = static_cast<value_type>(A) / 100;
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volatile value_type b = static_cast<value_type>(B) / 100;
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BM_Dist<Engine, Dist>(state, a, b);
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}
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template <typename Engine, typename Dist, int A>
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void BM_Gamma(benchmark::State& state) {
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using value_type = typename Dist::result_type;
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volatile value_type a = static_cast<value_type>(A) / 100;
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BM_Dist<Engine, Dist>(state, a);
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}
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template <typename Engine, typename Dist, int A = 100>
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void BM_Poisson(benchmark::State& state) {
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volatile double a = static_cast<double>(A) / 100;
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BM_Dist<Engine, Dist>(state, a);
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}
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template <typename Engine, typename Dist, int Q = 2, int V = 1>
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void BM_Zipf(benchmark::State& state) {
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using value_type = typename Dist::result_type;
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volatile double q = Q;
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volatile double v = V;
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BM_Dist<Engine, Dist>(state, std::numeric_limits<value_type>::max(), q, v);
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}
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template <typename Engine, typename Dist>
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void BM_Thread(benchmark::State& state) {
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using value_type = typename Dist::result_type;
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auto rng = make_engine<Engine>();
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Dist dis{};
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for (auto _ : state) {
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benchmark::DoNotOptimize(dis(rng));
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}
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state.SetBytesProcessed(sizeof(value_type) * state.iterations());
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}
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// NOTES:
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//
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// std::geometric_distribution is similar to the zipf distributions.
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// The algorithm for the geometric_distribution is, basically,
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// floor(log(1-X) / log(1-p))
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// Normal benchmark suite
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#define BM_BASIC(Engine) \
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BENCHMARK_TEMPLATE(BM_Construct, Engine, PrecompiledSeedSeq); \
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BENCHMARK_TEMPLATE(BM_Construct, Engine, std::seed_seq); \
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BENCHMARK_TEMPLATE(BM_Direct, Engine); \
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BENCHMARK_TEMPLATE(BM_Shuffle, Engine, 10); \
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BENCHMARK_TEMPLATE(BM_Shuffle, Engine, 100); \
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BENCHMARK_TEMPLATE(BM_Shuffle, Engine, 1000); \
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BENCHMARK_TEMPLATE(BM_ShuffleReuse, Engine, 100); \
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BENCHMARK_TEMPLATE(BM_ShuffleReuse, Engine, 1000); \
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BENCHMARK_TEMPLATE(BM_Dist, Engine, \
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absl::random_internal::FastUniformBits<uint32_t>); \
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BENCHMARK_TEMPLATE(BM_Dist, Engine, \
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absl::random_internal::FastUniformBits<uint64_t>); \
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BENCHMARK_TEMPLATE(BM_Dist, Engine, std::uniform_int_distribution<int32_t>); \
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BENCHMARK_TEMPLATE(BM_Dist, Engine, std::uniform_int_distribution<int64_t>); \
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BENCHMARK_TEMPLATE(BM_Dist, Engine, \
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absl::uniform_int_distribution<int32_t>); \
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BENCHMARK_TEMPLATE(BM_Dist, Engine, \
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absl::uniform_int_distribution<int64_t>); \
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BENCHMARK_TEMPLATE(BM_Large, Engine, \
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std::uniform_int_distribution<int32_t>); \
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BENCHMARK_TEMPLATE(BM_Large, Engine, \
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std::uniform_int_distribution<int64_t>); \
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BENCHMARK_TEMPLATE(BM_Large, Engine, \
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absl::uniform_int_distribution<int32_t>); \
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BENCHMARK_TEMPLATE(BM_Large, Engine, \
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absl::uniform_int_distribution<int64_t>); \
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BENCHMARK_TEMPLATE(BM_Dist, Engine, std::uniform_real_distribution<float>); \
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BENCHMARK_TEMPLATE(BM_Dist, Engine, std::uniform_real_distribution<double>); \
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BENCHMARK_TEMPLATE(BM_Dist, Engine, absl::uniform_real_distribution<float>); \
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BENCHMARK_TEMPLATE(BM_Dist, Engine, absl::uniform_real_distribution<double>)
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#define BM_COPY(Engine) BENCHMARK_TEMPLATE(BM_Generate, Engine)
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#define BM_THREAD(Engine) \
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BENCHMARK_TEMPLATE(BM_Thread, Engine, \
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absl::uniform_int_distribution<int64_t>) \
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->ThreadPerCpu(); \
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BENCHMARK_TEMPLATE(BM_Thread, Engine, \
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absl::uniform_real_distribution<double>) \
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->ThreadPerCpu(); \
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BENCHMARK_TEMPLATE(BM_Shuffle, Engine, 100)->ThreadPerCpu(); \
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BENCHMARK_TEMPLATE(BM_Shuffle, Engine, 1000)->ThreadPerCpu(); \
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BENCHMARK_TEMPLATE(BM_ShuffleReuse, Engine, 100)->ThreadPerCpu(); \
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BENCHMARK_TEMPLATE(BM_ShuffleReuse, Engine, 1000)->ThreadPerCpu();
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#define BM_EXTENDED(Engine) \
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/* -------------- Extended Uniform -----------------------*/ \
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BENCHMARK_TEMPLATE(BM_Small, Engine, \
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std::uniform_int_distribution<int32_t>); \
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BENCHMARK_TEMPLATE(BM_Small, Engine, \
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std::uniform_int_distribution<int64_t>); \
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BENCHMARK_TEMPLATE(BM_Small, Engine, \
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absl::uniform_int_distribution<int32_t>); \
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BENCHMARK_TEMPLATE(BM_Small, Engine, \
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absl::uniform_int_distribution<int64_t>); \
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BENCHMARK_TEMPLATE(BM_Small, Engine, std::uniform_real_distribution<float>); \
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BENCHMARK_TEMPLATE(BM_Small, Engine, \
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std::uniform_real_distribution<double>); \
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BENCHMARK_TEMPLATE(BM_Small, Engine, \
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absl::uniform_real_distribution<float>); \
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BENCHMARK_TEMPLATE(BM_Small, Engine, \
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absl::uniform_real_distribution<double>); \
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/* -------------- Other -----------------------*/ \
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BENCHMARK_TEMPLATE(BM_Dist, Engine, std::normal_distribution<double>); \
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BENCHMARK_TEMPLATE(BM_Dist, Engine, absl::gaussian_distribution<double>); \
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BENCHMARK_TEMPLATE(BM_Dist, Engine, std::exponential_distribution<double>); \
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BENCHMARK_TEMPLATE(BM_Dist, Engine, absl::exponential_distribution<double>); \
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BENCHMARK_TEMPLATE(BM_Poisson, Engine, std::poisson_distribution<int64_t>, \
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100); \
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BENCHMARK_TEMPLATE(BM_Poisson, Engine, absl::poisson_distribution<int64_t>, \
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100); \
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BENCHMARK_TEMPLATE(BM_Poisson, Engine, std::poisson_distribution<int64_t>, \
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10 * 100); \
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BENCHMARK_TEMPLATE(BM_Poisson, Engine, absl::poisson_distribution<int64_t>, \
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10 * 100); \
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BENCHMARK_TEMPLATE(BM_Poisson, Engine, std::poisson_distribution<int64_t>, \
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13 * 100); \
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BENCHMARK_TEMPLATE(BM_Poisson, Engine, absl::poisson_distribution<int64_t>, \
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13 * 100); \
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BENCHMARK_TEMPLATE(BM_Dist, Engine, \
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absl::log_uniform_int_distribution<int32_t>); \
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BENCHMARK_TEMPLATE(BM_Dist, Engine, \
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absl::log_uniform_int_distribution<int64_t>); \
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BENCHMARK_TEMPLATE(BM_Dist, Engine, std::geometric_distribution<int64_t>); \
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BENCHMARK_TEMPLATE(BM_Zipf, Engine, absl::zipf_distribution<uint64_t>); \
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BENCHMARK_TEMPLATE(BM_Zipf, Engine, absl::zipf_distribution<uint64_t>, 2, \
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3); \
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BENCHMARK_TEMPLATE(BM_Bernoulli, Engine, std::bernoulli_distribution, \
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257305); \
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BENCHMARK_TEMPLATE(BM_Bernoulli, Engine, absl::bernoulli_distribution, \
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257305); \
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BENCHMARK_TEMPLATE(BM_Beta, Engine, absl::beta_distribution<double>, 65, \
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41); \
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BENCHMARK_TEMPLATE(BM_Beta, Engine, absl::beta_distribution<double>, 99, \
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330); \
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BENCHMARK_TEMPLATE(BM_Beta, Engine, absl::beta_distribution<double>, 150, \
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150); \
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BENCHMARK_TEMPLATE(BM_Beta, Engine, absl::beta_distribution<double>, 410, \
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580); \
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BENCHMARK_TEMPLATE(BM_Beta, Engine, absl::beta_distribution<float>, 65, 41); \
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BENCHMARK_TEMPLATE(BM_Beta, Engine, absl::beta_distribution<float>, 99, \
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330); \
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BENCHMARK_TEMPLATE(BM_Beta, Engine, absl::beta_distribution<float>, 150, \
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150); \
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BENCHMARK_TEMPLATE(BM_Beta, Engine, absl::beta_distribution<float>, 410, \
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580); \
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BENCHMARK_TEMPLATE(BM_Gamma, Engine, std::gamma_distribution<float>, 199); \
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BENCHMARK_TEMPLATE(BM_Gamma, Engine, std::gamma_distribution<double>, 199);
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// ABSL Recommended interfaces.
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BM_BASIC(absl::InsecureBitGen); // === pcg64_2018_engine
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BM_BASIC(absl::BitGen); // === randen_engine<uint64_t>.
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BM_THREAD(absl::BitGen);
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BM_EXTENDED(absl::BitGen);
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// Instantiate benchmarks for multiple engines.
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using randen_engine_64 = absl::random_internal::randen_engine<uint64_t>;
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using randen_engine_32 = absl::random_internal::randen_engine<uint32_t>;
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// Comparison interfaces.
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BM_BASIC(std::mt19937_64);
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BM_COPY(std::mt19937_64);
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BM_EXTENDED(std::mt19937_64);
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BM_BASIC(randen_engine_64);
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BM_COPY(randen_engine_64);
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BM_EXTENDED(randen_engine_64);
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BM_BASIC(std::mt19937);
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BM_COPY(std::mt19937);
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BM_BASIC(randen_engine_32);
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BM_COPY(randen_engine_32);
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} // namespace
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