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- // Copyright 2018 The Abseil Authors.
- //
- // Licensed under the Apache License, Version 2.0 (the "License");
- // you may not use this file except in compliance with the License.
- // You may obtain a copy of the License at
- //
- // https://www.apache.org/licenses/LICENSE-2.0
- //
- // Unless required by applicable law or agreed to in writing, software
- // distributed under the License is distributed on an "AS IS" BASIS,
- // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- // See the License for the specific language governing permissions and
- // limitations under the License.
- #ifndef ABSL_RANDOM_INTERNAL_PCG_ENGINE_H_
- #define ABSL_RANDOM_INTERNAL_PCG_ENGINE_H_
- #include <type_traits>
- #include "absl/base/config.h"
- #include "absl/meta/type_traits.h"
- #include "absl/numeric/bits.h"
- #include "absl/numeric/int128.h"
- #include "absl/random/internal/fastmath.h"
- #include "absl/random/internal/iostream_state_saver.h"
- namespace absl {
- ABSL_NAMESPACE_BEGIN
- namespace random_internal {
- // pcg_engine is a simplified implementation of Melissa O'Neil's PCG engine in
- // C++. PCG combines a linear congruential generator (LCG) with output state
- // mixing functions to generate each random variate. pcg_engine supports only a
- // single sequence (oneseq), and does not support streams.
- //
- // pcg_engine is parameterized by two types:
- // Params, which provides the multiplier and increment values;
- // Mix, which mixes the state into the result.
- //
- template <typename Params, typename Mix>
- class pcg_engine {
- static_assert(std::is_same<typename Params::state_type,
- typename Mix::state_type>::value,
- "Class-template absl::pcg_engine must be parameterized by "
- "Params and Mix with identical state_type");
- static_assert(std::is_unsigned<typename Mix::result_type>::value,
- "Class-template absl::pcg_engine must be parameterized by "
- "an unsigned Mix::result_type");
- using params_type = Params;
- using mix_type = Mix;
- using state_type = typename Mix::state_type;
- public:
- // C++11 URBG interface:
- using result_type = typename Mix::result_type;
- static constexpr result_type(min)() {
- return (std::numeric_limits<result_type>::min)();
- }
- static constexpr result_type(max)() {
- return (std::numeric_limits<result_type>::max)();
- }
- explicit pcg_engine(uint64_t seed_value = 0) { seed(seed_value); }
- template <class SeedSequence,
- typename = typename absl::enable_if_t<
- !std::is_same<SeedSequence, pcg_engine>::value>>
- explicit pcg_engine(SeedSequence&& seq) {
- seed(seq);
- }
- pcg_engine(const pcg_engine&) = default;
- pcg_engine& operator=(const pcg_engine&) = default;
- pcg_engine(pcg_engine&&) = default;
- pcg_engine& operator=(pcg_engine&&) = default;
- result_type operator()() {
- // Advance the LCG state, always using the new value to generate the output.
- state_ = lcg(state_);
- return Mix{}(state_);
- }
- void seed(uint64_t seed_value = 0) {
- state_type tmp = seed_value;
- state_ = lcg(tmp + Params::increment());
- }
- template <class SeedSequence>
- typename absl::enable_if_t<
- !std::is_convertible<SeedSequence, uint64_t>::value, void>
- seed(SeedSequence&& seq) {
- reseed(seq);
- }
- void discard(uint64_t count) { state_ = advance(state_, count); }
- bool operator==(const pcg_engine& other) const {
- return state_ == other.state_;
- }
- bool operator!=(const pcg_engine& other) const { return !(*this == other); }
- template <class CharT, class Traits>
- friend typename absl::enable_if_t<(sizeof(state_type) == 16),
- std::basic_ostream<CharT, Traits>&>
- operator<<(
- std::basic_ostream<CharT, Traits>& os, // NOLINT(runtime/references)
- const pcg_engine& engine) {
- auto saver = random_internal::make_ostream_state_saver(os);
- random_internal::stream_u128_helper<state_type> helper;
- helper.write(pcg_engine::params_type::multiplier(), os);
- os << os.fill();
- helper.write(pcg_engine::params_type::increment(), os);
- os << os.fill();
- helper.write(engine.state_, os);
- return os;
- }
- template <class CharT, class Traits>
- friend typename absl::enable_if_t<(sizeof(state_type) <= 8),
- std::basic_ostream<CharT, Traits>&>
- operator<<(
- std::basic_ostream<CharT, Traits>& os, // NOLINT(runtime/references)
- const pcg_engine& engine) {
- auto saver = random_internal::make_ostream_state_saver(os);
- os << pcg_engine::params_type::multiplier() << os.fill();
- os << pcg_engine::params_type::increment() << os.fill();
- os << engine.state_;
- return os;
- }
- template <class CharT, class Traits>
- friend typename absl::enable_if_t<(sizeof(state_type) == 16),
- std::basic_istream<CharT, Traits>&>
- operator>>(
- std::basic_istream<CharT, Traits>& is, // NOLINT(runtime/references)
- pcg_engine& engine) { // NOLINT(runtime/references)
- random_internal::stream_u128_helper<state_type> helper;
- auto mult = helper.read(is);
- auto inc = helper.read(is);
- auto tmp = helper.read(is);
- if (mult != pcg_engine::params_type::multiplier() ||
- inc != pcg_engine::params_type::increment()) {
- // signal failure by setting the failbit.
- is.setstate(is.rdstate() | std::ios_base::failbit);
- }
- if (!is.fail()) {
- engine.state_ = tmp;
- }
- return is;
- }
- template <class CharT, class Traits>
- friend typename absl::enable_if_t<(sizeof(state_type) <= 8),
- std::basic_istream<CharT, Traits>&>
- operator>>(
- std::basic_istream<CharT, Traits>& is, // NOLINT(runtime/references)
- pcg_engine& engine) { // NOLINT(runtime/references)
- state_type mult{}, inc{}, tmp{};
- is >> mult >> inc >> tmp;
- if (mult != pcg_engine::params_type::multiplier() ||
- inc != pcg_engine::params_type::increment()) {
- // signal failure by setting the failbit.
- is.setstate(is.rdstate() | std::ios_base::failbit);
- }
- if (!is.fail()) {
- engine.state_ = tmp;
- }
- return is;
- }
- private:
- state_type state_;
- // Returns the linear-congruential generator next state.
- static inline constexpr state_type lcg(state_type s) {
- return s * Params::multiplier() + Params::increment();
- }
- // Returns the linear-congruential arbitrary seek state.
- inline state_type advance(state_type s, uint64_t n) const {
- state_type mult = Params::multiplier();
- state_type inc = Params::increment();
- state_type m = 1;
- state_type i = 0;
- while (n > 0) {
- if (n & 1) {
- m *= mult;
- i = i * mult + inc;
- }
- inc = (mult + 1) * inc;
- mult *= mult;
- n >>= 1;
- }
- return m * s + i;
- }
- template <class SeedSequence>
- void reseed(SeedSequence& seq) {
- using sequence_result_type = typename SeedSequence::result_type;
- constexpr size_t kBufferSize =
- sizeof(state_type) / sizeof(sequence_result_type);
- sequence_result_type buffer[kBufferSize];
- seq.generate(std::begin(buffer), std::end(buffer));
- // Convert the seed output to a single state value.
- state_type tmp = buffer[0];
- for (size_t i = 1; i < kBufferSize; i++) {
- tmp <<= (sizeof(sequence_result_type) * 8);
- tmp |= buffer[i];
- }
- state_ = lcg(tmp + params_type::increment());
- }
- };
- // Parameterized implementation of the PCG 128-bit oneseq state.
- // This provides state_type, multiplier, and increment for pcg_engine.
- template <uint64_t kMultA, uint64_t kMultB, uint64_t kIncA, uint64_t kIncB>
- class pcg128_params {
- public:
- using state_type = absl::uint128;
- static inline constexpr state_type multiplier() {
- return absl::MakeUint128(kMultA, kMultB);
- }
- static inline constexpr state_type increment() {
- return absl::MakeUint128(kIncA, kIncB);
- }
- };
- // Implementation of the PCG xsl_rr_128_64 128-bit mixing function, which
- // accepts an input of state_type and mixes it into an output of result_type.
- struct pcg_xsl_rr_128_64 {
- using state_type = absl::uint128;
- using result_type = uint64_t;
- inline uint64_t operator()(state_type state) {
- // This is equivalent to the xsl_rr_128_64 mixing function.
- uint64_t rotate = static_cast<uint64_t>(state >> 122u);
- state ^= state >> 64;
- uint64_t s = static_cast<uint64_t>(state);
- return rotr(s, static_cast<int>(rotate));
- }
- };
- // Parameterized implementation of the PCG 64-bit oneseq state.
- // This provides state_type, multiplier, and increment for pcg_engine.
- template <uint64_t kMult, uint64_t kInc>
- class pcg64_params {
- public:
- using state_type = uint64_t;
- static inline constexpr state_type multiplier() { return kMult; }
- static inline constexpr state_type increment() { return kInc; }
- };
- // Implementation of the PCG xsh_rr_64_32 64-bit mixing function, which accepts
- // an input of state_type and mixes it into an output of result_type.
- struct pcg_xsh_rr_64_32 {
- using state_type = uint64_t;
- using result_type = uint32_t;
- inline uint32_t operator()(uint64_t state) {
- return rotr(static_cast<uint32_t>(((state >> 18) ^ state) >> 27),
- state >> 59);
- }
- };
- // Stable pcg_engine implementations:
- // This is a 64-bit generator using 128-bits of state.
- // The output sequence is equivalent to Melissa O'Neil's pcg64_oneseq.
- using pcg64_2018_engine = pcg_engine<
- random_internal::pcg128_params<0x2360ed051fc65da4ull, 0x4385df649fccf645ull,
- 0x5851f42d4c957f2d, 0x14057b7ef767814f>,
- random_internal::pcg_xsl_rr_128_64>;
- // This is a 32-bit generator using 64-bits of state.
- // This is equivalent to Melissa O'Neil's pcg32_oneseq.
- using pcg32_2018_engine = pcg_engine<
- random_internal::pcg64_params<0x5851f42d4c957f2dull, 0x14057b7ef767814full>,
- random_internal::pcg_xsh_rr_64_32>;
- } // namespace random_internal
- ABSL_NAMESPACE_END
- } // namespace absl
- #endif // ABSL_RANDOM_INTERNAL_PCG_ENGINE_H_
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