mirror of
https://github.com/bolero-MURAKAMI/Sprout.git
synced 2024-11-14 10:39:05 +00:00
469 lines
20 KiB
C++
469 lines
20 KiB
C++
#ifndef SPROUT_RANDOM_MERSENNE_TWISTER_HPP
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#define SPROUT_RANDOM_MERSENNE_TWISTER_HPP
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#include <cstddef>
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#include <cstdint>
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#include <ios>
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#include <type_traits>
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#include <sprout/config.hpp>
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#include <sprout/random/random_result.hpp>
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#include <sprout/array.hpp>
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#include <sprout/detail/integer/integer_mask.hpp>
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namespace sprout {
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namespace random {
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//
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// mersenne_twister_engine
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//
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template<typename UIntType, std::size_t w, std::size_t n, std::size_t m, std::size_t r, UIntType a, std::size_t u, UIntType d, std::size_t s, UIntType b, std::size_t t, UIntType c, std::size_t l, UIntType f>
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class mersenne_twister_engine {
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public:
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typedef UIntType result_type;
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private:
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struct private_constructor_tag {};
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public:
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SPROUT_STATIC_CONSTEXPR std::size_t word_size = w;
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SPROUT_STATIC_CONSTEXPR std::size_t state_size = n;
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SPROUT_STATIC_CONSTEXPR std::size_t shift_size = m;
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SPROUT_STATIC_CONSTEXPR std::size_t mask_bits = r;
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SPROUT_STATIC_CONSTEXPR UIntType xor_mask = a;
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SPROUT_STATIC_CONSTEXPR std::size_t tempering_u = u;
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SPROUT_STATIC_CONSTEXPR UIntType tempering_d = d;
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SPROUT_STATIC_CONSTEXPR std::size_t tempering_s = s;
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SPROUT_STATIC_CONSTEXPR UIntType tempering_b = b;
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SPROUT_STATIC_CONSTEXPR std::size_t tempering_t = t;
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SPROUT_STATIC_CONSTEXPR UIntType tempering_c = c;
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SPROUT_STATIC_CONSTEXPR std::size_t tempering_l = l;
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SPROUT_STATIC_CONSTEXPR UIntType initialization_multiplier = f;
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SPROUT_STATIC_CONSTEXPR UIntType default_seed = 5489u;
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private:
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SPROUT_STATIC_CONSTEXPR UIntType upper_mask = (~static_cast<UIntType>(0)) << r;
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SPROUT_STATIC_CONSTEXPR UIntType lower_mask = ~upper_mask;
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SPROUT_STATIC_CONSTEXPR std::size_t unroll_factor = 6;
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SPROUT_STATIC_CONSTEXPR std::size_t unroll_extra1 = (n - m) % unroll_factor;
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SPROUT_STATIC_CONSTEXPR std::size_t unroll_extra2 = (m - 1) % unroll_factor;
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private:
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template<typename... Args>
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static SPROUT_CONSTEXPR typename std::enable_if<
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sizeof...(Args) + 1 == n,
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sprout::array<UIntType, n>
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>::type init_seed_1(UIntType const& value, Args const&... args) {
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return sprout::array<UIntType, n>{{args..., value}};
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}
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template<typename... Args>
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static SPROUT_CONSTEXPR typename std::enable_if<
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sizeof...(Args) + 1 < n,
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sprout::array<UIntType, n>
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>::type init_seed_1(UIntType const& value, Args const&... args) {
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return init_seed_1(
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(f * (value ^ (value >> (w - 2))) + (sizeof...(Args) + 1)) & static_max(),
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args...,
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value
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);
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}
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static SPROUT_CONSTEXPR sprout::array<UIntType, n> init_seed(UIntType const& value) {
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return init_seed_1(value & static_max());
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}
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public:
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static SPROUT_CONSTEXPR result_type static_min() {
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return 0;
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}
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static SPROUT_CONSTEXPR result_type static_max() {
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return sprout::detail::low_bits_mask_t<w>::sig_bits;
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}
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private:
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sprout::array<UIntType, n> x_;
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std::size_t i_;
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private:
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SPROUT_CONSTEXPR mersenne_twister_engine(sprout::array<UIntType, n> const& x, std::size_t i, private_constructor_tag)
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: x_(x)
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, i_(i)
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{}
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SPROUT_CONSTEXPR UIntType rewind_find_1(UIntType const* last, std::size_t size, std::size_t index) const {
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return index < n - size
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? x_[index]
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: *(last - (n - 1 - index))
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;
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}
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SPROUT_CONSTEXPR UIntType rewind_find(UIntType const* last, std::size_t size, std::size_t i) const {
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return rewind_find_1(last, size, (i + n - size + n - 1) % n);
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}
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template<typename... Args>
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SPROUT_CONSTEXPR typename std::enable_if<
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sizeof...(Args) == n,
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sprout::array<UIntType, n>
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>::type rewind_finish_1(sprout::array<UIntType, n> const& data, Args const&... args) const {
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return sprout::array<UIntType, n>{{args...}};
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}
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template<typename... Args>
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SPROUT_CONSTEXPR typename std::enable_if<
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sizeof...(Args) < n,
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sprout::array<UIntType, n>
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>::type rewind_finish_1(sprout::array<UIntType, n> const& data, Args const&... args) const {
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return rewind_finish_1(data, args..., data[sizeof...(args)]);
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}
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template<typename... Args>
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SPROUT_CONSTEXPR typename std::enable_if<
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sizeof...(Args) == n,
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sprout::array<UIntType, n>
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>::type rewind_finish(sprout::array<UIntType, n> const& data, UIntType const* last, std::size_t z, std::size_t i, Args const&... args) const {
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return sprout::array<UIntType, n>{{args...}};
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}
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template<typename... Args>
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SPROUT_CONSTEXPR typename std::enable_if<
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sizeof...(Args) < n,
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sprout::array<UIntType, n>
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>::type rewind_finish(sprout::array<UIntType, n> const& data, UIntType const* last, std::size_t z, std::size_t i, Args const&... args) const {
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return &data[0] + i == last - z
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? rewind_finish_1(data, data[i], args...)
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: rewind_finish(data, last, z, i + 1, data[i], args...)
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;
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}
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template<typename... Args>
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SPROUT_CONSTEXPR typename std::enable_if<
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sizeof...(Args) == n,
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sprout::array<UIntType, n>
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>::type rewind_4(sprout::array<UIntType, n> const& data, UIntType const* last, std::size_t z, UIntType y0, UIntType y1, std::size_t i, Args const&... args) const {
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return sprout::array<UIntType, n>{{args...}};
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}
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template<typename... Args>
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SPROUT_CONSTEXPR typename std::enable_if<
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sizeof...(Args) < n,
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sprout::array<UIntType, n>
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>::type rewind_4(sprout::array<UIntType, n> const& data, UIntType const* last, std::size_t z, UIntType y0, UIntType y1, std::size_t i, Args const&... args) const {
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return rewind_2(
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data,
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last,
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z,
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y1,
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i,
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(y0 & upper_mask) | (y1 & lower_mask),
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args...
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);
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}
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template<typename... Args>
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SPROUT_CONSTEXPR typename std::enable_if<
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sizeof...(Args) == n,
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sprout::array<UIntType, n>
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>::type rewind_3(sprout::array<UIntType, n> const& data, UIntType const* last, std::size_t z, UIntType y0, UIntType y1, std::size_t i, Args const&... args) const {
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return sprout::array<UIntType, n>{{args...}};
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}
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template<typename... Args>
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SPROUT_CONSTEXPR typename std::enable_if<
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sizeof...(Args) < n,
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sprout::array<UIntType, n>
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>::type rewind_3(sprout::array<UIntType, n> const& data, UIntType const* last, std::size_t z, UIntType y0, UIntType y1, std::size_t i, Args const&... args) const {
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return rewind_4(
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data,
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last,
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z,
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y0,
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y1 & (static_cast<UIntType>(1) << (w - 1))
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? ((y1 ^ a) << 1) | 1
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: y1 << 1
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,
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i,
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args...
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);
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}
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template<typename... Args>
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SPROUT_CONSTEXPR typename std::enable_if<
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sizeof...(Args) == n,
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sprout::array<UIntType, n>
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>::type rewind_2(sprout::array<UIntType, n> const& data, UIntType const* last, std::size_t z, UIntType y0, std::size_t i, Args const&... args) const {
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return sprout::array<UIntType, n>{{args...}};
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}
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template<typename... Args>
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SPROUT_CONSTEXPR typename std::enable_if<
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sizeof...(Args) < n,
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sprout::array<UIntType, n>
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>::type rewind_2(sprout::array<UIntType, n> const& data, UIntType const* last, std::size_t z, UIntType y0, std::size_t i, Args const&... args) const {
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return i < z
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? rewind_3(data, last, z, y0, rewind_find(last, i, m - 1) ^ rewind_find(last, i, n - 1), i, args...)
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: rewind_finish(data, last, z, 0, args...)
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;
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}
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SPROUT_CONSTEXPR sprout::array<UIntType, n> rewind_1(sprout::array<UIntType, n> const& data, UIntType const* last, std::size_t z, UIntType y0) const {
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return rewind_2(
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data,
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last,
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z,
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y0 & (static_cast<UIntType>(1) << (w - 1))
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? ((y0 ^ a) << 1) | 1
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: y0 << 1
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,
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0
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);
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}
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SPROUT_CONSTEXPR sprout::array<UIntType, n> rewind(sprout::array<UIntType, n> const& data, UIntType const* last, std::size_t z) const {
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return rewind_1(data, last, z, x_[m - 1] ^ x_[n - 1]);
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}
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SPROUT_CONSTEXPR bool equal_impl_2(mersenne_twister_engine const& other, sprout::array<UIntType, n> back, std::size_t offset, std::size_t i = 0) const {
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return i < offset
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? back[i + n - offset] != other.x_[i]
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? false
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: equal_impl_2(other, back, offset, i + 1)
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: true
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;
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}
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SPROUT_CONSTEXPR bool equal_impl_1(mersenne_twister_engine const& other, sprout::array<UIntType, n> back, std::size_t offset, std::size_t i = 0) const {
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return i + offset < n
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? x_[i] != other.x_[i + offset]
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? false
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: equal_impl_1(other, back, offset, i + 1)
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: equal_impl_2(other, rewind(back, &back[n - 1], offset), offset)
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;
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}
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SPROUT_CONSTEXPR bool equal_impl(mersenne_twister_engine const& other) const {
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return equal_impl_1(other, sprout::array<UIntType, n>(), other.i_ - i_);
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}
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SPROUT_CONSTEXPR UIntType generate_impl_4(UIntType z) const {
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return z ^ (z >> l);
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}
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SPROUT_CONSTEXPR UIntType generate_impl_3(UIntType z) const {
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return z ^ generate_impl_4((z << t) & c);
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}
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SPROUT_CONSTEXPR UIntType generate_impl_2(UIntType z) const {
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return z ^ generate_impl_3((z << s) & b);
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}
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SPROUT_CONSTEXPR UIntType generate_impl_1(UIntType z) const {
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return z ^ generate_impl_2((z >> u) & d);
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}
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SPROUT_CONSTEXPR UIntType generate_impl() const {
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return generate_impl_1(x_[i_]);
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}
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SPROUT_CONSTEXPR sprout::random::random_result<mersenne_twister_engine> generate() const {
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return sprout::random::random_result<mersenne_twister_engine>(
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generate_impl(),
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mersenne_twister_engine(
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x_,
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i_ + 1,
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private_constructor_tag()
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)
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);
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}
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template<typename... Args>
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SPROUT_CONSTEXPR mersenne_twister_engine twist_5(Args const&... args) const {
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return mersenne_twister_engine(
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sprout::array<UIntType, n>{{args..., x_[m - 1] ^ ((x_[n - 1] & upper_mask) | (x_[0] & lower_mask) >> 1) ^ ((x_[0] & 1) * a)}},
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0,
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private_constructor_tag()
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);
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}
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template<typename... Args>
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SPROUT_CONSTEXPR typename std::enable_if<
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sizeof...(Args) == n - 1,
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mersenne_twister_engine
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>::type twist_4(std::size_t i, Args const&... args) const {
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return twist_5(args...);
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}
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template<typename... Args>
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SPROUT_CONSTEXPR typename std::enable_if<
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sizeof...(Args) < n - 1,
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mersenne_twister_engine
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>::type twist_4(std::size_t i, Args const&... args) const {
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return twist_4(i + 1, args..., x_[i - (n - m)] ^ ((x_[i] & upper_mask) | (x_[i + 1] & lower_mask) >> 1) ^ ((x_[i + 1] & 1) * a));
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}
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template<typename... Args>
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SPROUT_CONSTEXPR typename std::enable_if<
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sizeof...(Args) == n - 1 - unroll_extra2,
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mersenne_twister_engine
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>::type twist_3(std::size_t i, Args const&... args) const {
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return twist_4(n - 1 - unroll_extra2, args...);
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}
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template<typename... Args>
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SPROUT_CONSTEXPR typename std::enable_if<
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sizeof...(Args) < n - 1 - unroll_extra2,
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mersenne_twister_engine
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>::type twist_3(std::size_t i, Args const&... args) const {
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return twist_3(i + 1, args..., x_[i - (n - m)] ^ ((x_[i] & upper_mask) | (x_[i + 1] & lower_mask) >> 1) ^ ((x_[i + 1] & 1) * a));
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}
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template<typename... Args>
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SPROUT_CONSTEXPR typename std::enable_if<
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sizeof...(Args) == n - m,
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mersenne_twister_engine
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>::type twist_2(std::size_t i, Args const&... args) const {
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return twist_3(n - m, args...);
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}
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template<typename... Args>
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SPROUT_CONSTEXPR typename std::enable_if<
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sizeof...(Args) < n - m,
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mersenne_twister_engine
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>::type twist_2(std::size_t i, Args const&... args) const {
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return twist_2(i + 1, args..., x_[i + m] ^ ((x_[i] & upper_mask) | (x_[i + 1] & lower_mask) >> 1) ^ ((x_[i + 1] & 1) * a));
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}
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template<typename... Args>
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SPROUT_CONSTEXPR typename std::enable_if<
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sizeof...(Args) == n - m - unroll_extra1,
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mersenne_twister_engine
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>::type twist_1(std::size_t i, Args const&... args) const {
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return twist_2(n - m - unroll_extra1, args...);
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}
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template<typename... Args>
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SPROUT_CONSTEXPR typename std::enable_if<
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sizeof...(Args) < n - m - unroll_extra1,
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mersenne_twister_engine
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>::type twist_1(std::size_t i, Args const&... args) const {
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return twist_1(i + 1, args..., x_[i + m] ^ ((x_[i] & upper_mask) | (x_[i + 1] & lower_mask) >> 1) ^ ((x_[i + 1] & 1) * a));
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}
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SPROUT_CONSTEXPR mersenne_twister_engine twist() const {
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return twist_1(0);
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}
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public:
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SPROUT_CONSTEXPR mersenne_twister_engine()
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: x_(init_seed(default_seed))
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, i_(n)
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{}
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explicit SPROUT_CONSTEXPR mersenne_twister_engine(UIntType const& value)
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: x_(init_seed(value))
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, i_(n)
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{}
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SPROUT_CONSTEXPR result_type min() const {
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return static_min();
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}
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SPROUT_CONSTEXPR result_type max() const {
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return static_max();
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}
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SPROUT_CONSTEXPR sprout::random::random_result<mersenne_twister_engine> operator()() const {
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return i_ == n
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? twist().generate()
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: generate()
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;
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}
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friend SPROUT_CONSTEXPR bool operator==(mersenne_twister_engine const& lhs, mersenne_twister_engine const& rhs) {
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return lhs.i_ < rhs.i_
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? lhs.equal_impl(rhs)
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: rhs.equal_impl(lhs)
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;
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}
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friend SPROUT_CONSTEXPR bool operator!=(mersenne_twister_engine const& lhs, mersenne_twister_engine const& rhs) {
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return !(lhs == rhs);
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}
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template<typename Elem, typename Traits>
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friend std::basic_istream<Elem, Traits>& operator>>(
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std::basic_istream<Elem, Traits>& lhs,
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mersenne_twister_engine& rhs
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)
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{
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for (std::size_t i = 0; i < state_size; ++i) {
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lhs >> rhs.x_[i] >> std::ws;
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}
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rhs.i_ = state_size;
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return lhs;
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}
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template<typename Elem, typename Traits>
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friend std::basic_ostream<Elem, Traits>& operator<<(
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std::basic_ostream<Elem, Traits>& lhs,
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mersenne_twister_engine const& rhs
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)
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{
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sprout::array<UIntType, n> data;
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for(std::size_t i = 0; i < rhs.i_; ++i) {
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data[i + n - rhs.i_] = rhs.x_[i];
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}
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if (rhs.i_ != n) {
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data = rhs.rewind(data, &data[n - rhs.i_ - 1], n - rhs.i_);
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}
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lhs << data[0];
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for (std::size_t i = 0; i < rhs.i_; ++i) {
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lhs << ' ' << data[i];
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}
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return lhs;
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}
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};
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template<typename UIntType, std::size_t w, std::size_t n, std::size_t m, std::size_t r, UIntType a, std::size_t u, UIntType d, std::size_t s, UIntType b, std::size_t t, UIntType c, std::size_t l, UIntType f>
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SPROUT_CONSTEXPR std::size_t sprout::random::mersenne_twister_engine<UIntType, w, n, m, r, a, u, d, s, b, t, c, l, f>::word_size;
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template<typename UIntType, std::size_t w, std::size_t n, std::size_t m, std::size_t r, UIntType a, std::size_t u, UIntType d, std::size_t s, UIntType b, std::size_t t, UIntType c, std::size_t l, UIntType f>
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SPROUT_CONSTEXPR std::size_t sprout::random::mersenne_twister_engine<UIntType, w, n, m, r, a, u, d, s, b, t, c, l, f>::state_size;
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template<typename UIntType, std::size_t w, std::size_t n, std::size_t m, std::size_t r, UIntType a, std::size_t u, UIntType d, std::size_t s, UIntType b, std::size_t t, UIntType c, std::size_t l, UIntType f>
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SPROUT_CONSTEXPR std::size_t sprout::random::mersenne_twister_engine<UIntType, w, n, m, r, a, u, d, s, b, t, c, l, f>::shift_size;
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template<typename UIntType, std::size_t w, std::size_t n, std::size_t m, std::size_t r, UIntType a, std::size_t u, UIntType d, std::size_t s, UIntType b, std::size_t t, UIntType c, std::size_t l, UIntType f>
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SPROUT_CONSTEXPR std::size_t sprout::random::mersenne_twister_engine<UIntType, w, n, m, r, a, u, d, s, b, t, c, l, f>::mask_bits;
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template<typename UIntType, std::size_t w, std::size_t n, std::size_t m, std::size_t r, UIntType a, std::size_t u, UIntType d, std::size_t s, UIntType b, std::size_t t, UIntType c, std::size_t l, UIntType f>
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SPROUT_CONSTEXPR UIntType sprout::random::mersenne_twister_engine<UIntType, w, n, m, r, a, u, d, s, b, t, c, l, f>::xor_mask;
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template<typename UIntType, std::size_t w, std::size_t n, std::size_t m, std::size_t r, UIntType a, std::size_t u, UIntType d, std::size_t s, UIntType b, std::size_t t, UIntType c, std::size_t l, UIntType f>
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SPROUT_CONSTEXPR std::size_t sprout::random::mersenne_twister_engine<UIntType, w, n, m, r, a, u, d, s, b, t, c, l, f>::tempering_u;
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template<typename UIntType, std::size_t w, std::size_t n, std::size_t m, std::size_t r, UIntType a, std::size_t u, UIntType d, std::size_t s, UIntType b, std::size_t t, UIntType c, std::size_t l, UIntType f>
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SPROUT_CONSTEXPR UIntType sprout::random::mersenne_twister_engine<UIntType, w, n, m, r, a, u, d, s, b, t, c, l, f>::tempering_d;
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template<typename UIntType, std::size_t w, std::size_t n, std::size_t m, std::size_t r, UIntType a, std::size_t u, UIntType d, std::size_t s, UIntType b, std::size_t t, UIntType c, std::size_t l, UIntType f>
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SPROUT_CONSTEXPR std::size_t sprout::random::mersenne_twister_engine<UIntType, w, n, m, r, a, u, d, s, b, t, c, l, f>::tempering_s;
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template<typename UIntType, std::size_t w, std::size_t n, std::size_t m, std::size_t r, UIntType a, std::size_t u, UIntType d, std::size_t s, UIntType b, std::size_t t, UIntType c, std::size_t l, UIntType f>
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SPROUT_CONSTEXPR UIntType sprout::random::mersenne_twister_engine<UIntType, w, n, m, r, a, u, d, s, b, t, c, l, f>::tempering_b;
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template<typename UIntType, std::size_t w, std::size_t n, std::size_t m, std::size_t r, UIntType a, std::size_t u, UIntType d, std::size_t s, UIntType b, std::size_t t, UIntType c, std::size_t l, UIntType f>
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SPROUT_CONSTEXPR std::size_t sprout::random::mersenne_twister_engine<UIntType, w, n, m, r, a, u, d, s, b, t, c, l, f>::tempering_t;
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template<typename UIntType, std::size_t w, std::size_t n, std::size_t m, std::size_t r, UIntType a, std::size_t u, UIntType d, std::size_t s, UIntType b, std::size_t t, UIntType c, std::size_t l, UIntType f>
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SPROUT_CONSTEXPR UIntType sprout::random::mersenne_twister_engine<UIntType, w, n, m, r, a, u, d, s, b, t, c, l, f>::tempering_c;
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template<typename UIntType, std::size_t w, std::size_t n, std::size_t m, std::size_t r, UIntType a, std::size_t u, UIntType d, std::size_t s, UIntType b, std::size_t t, UIntType c, std::size_t l, UIntType f>
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SPROUT_CONSTEXPR std::size_t sprout::random::mersenne_twister_engine<UIntType, w, n, m, r, a, u, d, s, b, t, c, l, f>::tempering_l;
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template<typename UIntType, std::size_t w, std::size_t n, std::size_t m, std::size_t r, UIntType a, std::size_t u, UIntType d, std::size_t s, UIntType b, std::size_t t, UIntType c, std::size_t l, UIntType f>
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SPROUT_CONSTEXPR UIntType sprout::random::mersenne_twister_engine<UIntType, w, n, m, r, a, u, d, s, b, t, c, l, f>::initialization_multiplier;
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template<typename UIntType, std::size_t w, std::size_t n, std::size_t m, std::size_t r, UIntType a, std::size_t u, UIntType d, std::size_t s, UIntType b, std::size_t t, UIntType c, std::size_t l, UIntType f>
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SPROUT_CONSTEXPR UIntType sprout::random::mersenne_twister_engine<UIntType, w, n, m, r, a, u, d, s, b, t, c, l, f>::default_seed;
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//
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// mt11213b
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//
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typedef sprout::random::mersenne_twister_engine<
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std::uint32_t,
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32,
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351,
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175,
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19,
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0xccab8ee7,
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11,
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0xffffffff,
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7,
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0x31b6ab00,
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15,
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0xffe50000,
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17,
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1812433253
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> mt11213b;
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//
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// mt19937
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//
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typedef sprout::random::mersenne_twister_engine<
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std::uint32_t,
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32,
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624,
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397,
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31,
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|
0x9908b0df,
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11,
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|
0xffffffff,
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|
7,
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|
0x9d2c5680,
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15,
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0xefc60000,
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18,
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1812433253
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> mt19937;
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//
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// mt19937_64
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//
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typedef sprout::random::mersenne_twister_engine<
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std::uint64_t,
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64,
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|
312,
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|
156,
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31,
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UINT64_C(0xb5026f5aa96619e9),
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29,
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|
UINT64_C(0x5555555555555555),
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|
17,
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|
UINT64_C(0x71d67fffeda60000),
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37,
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UINT64_C(0xfff7eee000000000),
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43,
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UINT64_C(6364136223846793005)
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> mt19937_64;
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} // namespace random
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using sprout::random::mersenne_twister_engine;
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using sprout::random::mt11213b;
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using sprout::random::mt19937;
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using sprout::random::mt19937_64;
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} // namespace sprout
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#endif // #ifndef SPROUT_RANDOM_MERSENNE_TWISTER_HPP
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