/*============================================================================= Copyright (c) 2011-2014 Bolero MURAKAMI https://github.com/bolero-MURAKAMI/Sprout Distributed under the Boost Software License, Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) =============================================================================*/ #ifndef SPROUT_RANDOM_MERSENNE_TWISTER_HPP #define SPROUT_RANDOM_MERSENNE_TWISTER_HPP #include #include #include #include #include #include #include #include #include namespace sprout { namespace random { // // mersenne_twister_engine // 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 > class mersenne_twister_engine { public: typedef UIntType result_type; private: struct private_construct_t {}; public: SPROUT_STATIC_CONSTEXPR std::size_t word_size = w; SPROUT_STATIC_CONSTEXPR std::size_t state_size = n; SPROUT_STATIC_CONSTEXPR std::size_t shift_size = m; SPROUT_STATIC_CONSTEXPR std::size_t mask_bits = r; SPROUT_STATIC_CONSTEXPR result_type xor_mask = a; SPROUT_STATIC_CONSTEXPR std::size_t tempering_u = u; SPROUT_STATIC_CONSTEXPR result_type tempering_d = d; SPROUT_STATIC_CONSTEXPR std::size_t tempering_s = s; SPROUT_STATIC_CONSTEXPR result_type tempering_b = b; SPROUT_STATIC_CONSTEXPR std::size_t tempering_t = t; SPROUT_STATIC_CONSTEXPR result_type tempering_c = c; SPROUT_STATIC_CONSTEXPR std::size_t tempering_l = l; SPROUT_STATIC_CONSTEXPR result_type initialization_multiplier = f; SPROUT_STATIC_CONSTEXPR result_type default_seed = 5489u; private: SPROUT_STATIC_CONSTEXPR result_type upper_mask = (~static_cast(0)) << r; SPROUT_STATIC_CONSTEXPR result_type lower_mask = ~upper_mask; SPROUT_STATIC_CONSTEXPR std::size_t unroll_factor = 6; SPROUT_STATIC_CONSTEXPR std::size_t unroll_extra1 = (n - m) % unroll_factor; SPROUT_STATIC_CONSTEXPR std::size_t unroll_extra2 = (m - 1) % unroll_factor; public: static SPROUT_CONSTEXPR result_type static_min() SPROUT_NOEXCEPT { return 0; } static SPROUT_CONSTEXPR result_type static_max() SPROUT_NOEXCEPT { return sprout::detail::low_bits_mask_t::sig_bits; } private: template static SPROUT_CONSTEXPR typename std::enable_if< sizeof...(Args) + 1 == n, sprout::array >::type init_seed_1(result_type value, Args const&... args) { return sprout::array{{args..., value}}; } template static SPROUT_CONSTEXPR typename std::enable_if< sizeof...(Args) + 1 < n, sprout::array >::type init_seed_1(result_type value, Args const&... args) { return init_seed_1( (f * (value ^ (value >> (w - 2))) + (sizeof...(Args) + 1)) & static_max(), args..., value ); } static SPROUT_CONSTEXPR sprout::array init_seed(result_type value = default_seed) { return init_seed_1(value & static_max()); } private: sprout::array x_; std::size_t i_; private: SPROUT_CONSTEXPR mersenne_twister_engine(sprout::array const& x, std::size_t i, private_construct_t) : x_(x) , i_(i) {} SPROUT_CONSTEXPR result_type rewind_find_1(result_type const* last, std::size_t size, std::size_t index) const { return index < n - size ? x_[index] : *(last - (n - 1 - index)) ; } SPROUT_CONSTEXPR result_type rewind_find(result_type const* last, std::size_t size, std::size_t i) const { return rewind_find_1(last, size, (i + n - size + n - 1) % n); } template SPROUT_CONSTEXPR typename std::enable_if< sizeof...(Args) == n, sprout::array >::type rewind_finish_1(sprout::array const&, Args const&... args) const { return sprout::array{{args...}}; } template SPROUT_CONSTEXPR typename std::enable_if< sizeof...(Args) < n, sprout::array >::type rewind_finish_1(sprout::array const& data, Args const&... args) const { return rewind_finish_1(data, args..., data[sizeof...(args)]); } template SPROUT_CONSTEXPR typename std::enable_if< sizeof...(Args) == n, sprout::array >::type rewind_finish( sprout::array const&, result_type const*, std::size_t, std::size_t, Args const&... args ) const { return sprout::array{{args...}}; } template SPROUT_CONSTEXPR typename std::enable_if< sizeof...(Args) < n, sprout::array >::type rewind_finish( sprout::array const& data, result_type const* last, std::size_t z, std::size_t i, Args const&... args ) const { return &data[0] + i == last - z ? rewind_finish_1(data, data[i], args...) : rewind_finish(data, last, z, i + 1, data[i], args...) ; } template SPROUT_CONSTEXPR typename std::enable_if< sizeof...(Args) == n, sprout::array >::type rewind_4( sprout::array const&, result_type const*, std::size_t, result_type, result_type, std::size_t, Args const&... args ) const { return sprout::array{{args...}}; } template SPROUT_CONSTEXPR typename std::enable_if< sizeof...(Args) < n, sprout::array >::type rewind_4( sprout::array const& data, result_type const* last, std::size_t z, result_type y0, result_type y1, std::size_t i, Args const&... args ) const { return rewind_2( data, last, z, y1, i, (y0 & upper_mask) | (y1 & lower_mask), args... ); } template SPROUT_CONSTEXPR typename std::enable_if< sizeof...(Args) == n, sprout::array >::type rewind_3( sprout::array const&, result_type const*, std::size_t, result_type, result_type, std::size_t, Args const&... args ) const { return sprout::array{{args...}}; } template SPROUT_CONSTEXPR typename std::enable_if< sizeof...(Args) < n, sprout::array >::type rewind_3( sprout::array const& data, result_type const* last, std::size_t z, result_type y0, result_type y1, std::size_t i, Args const&... args ) const { return rewind_4( data, last, z, y0, y1 & (static_cast(1) << (w - 1)) ? ((y1 ^ a) << 1) | 1 : y1 << 1 , i, args... ); } template SPROUT_CONSTEXPR typename std::enable_if< sizeof...(Args) == n, sprout::array >::type rewind_2( sprout::array const&, result_type const*, std::size_t, result_type, std::size_t, Args const&... args ) const { return sprout::array{{args...}}; } template SPROUT_CONSTEXPR typename std::enable_if< sizeof...(Args) < n, sprout::array >::type rewind_2( sprout::array const& data, result_type const* last, std::size_t z, result_type y0, std::size_t i, Args const&... args ) const { return i < z ? rewind_3(data, last, z, y0, rewind_find(last, i, m - 1) ^ rewind_find(last, i, n - 1), i, args...) : rewind_finish(data, last, z, 0, args...) ; } SPROUT_CONSTEXPR sprout::array rewind_1(sprout::array const& data, result_type const* last, std::size_t z, result_type y0) const { return rewind_2( data, last, z, y0 & (static_cast(1) << (w - 1)) ? ((y0 ^ a) << 1) | 1 : y0 << 1 , 0 ); } SPROUT_CONSTEXPR sprout::array rewind(sprout::array const& data, result_type const* last, std::size_t z) const { return rewind_1(data, last, z, x_[m - 1] ^ x_[n - 1]); } SPROUT_CONSTEXPR bool equal_impl_2(mersenne_twister_engine const& other, sprout::array back, std::size_t offset, std::size_t i = 0) const { return i < offset ? back[i + n - offset] != other.x_[i] ? false : equal_impl_2(other, back, offset, i + 1) : true ; } SPROUT_CONSTEXPR bool equal_impl_1(mersenne_twister_engine const& other, sprout::array back, std::size_t offset, std::size_t i = 0) const { return i + offset < n ? x_[i] != other.x_[i + offset] ? false : equal_impl_1(other, back, offset, i + 1) : equal_impl_2(other, rewind(back, &back[n - 1], offset), offset) ; } SPROUT_CONSTEXPR bool equal_impl(mersenne_twister_engine const& other) const { return equal_impl_1(other, sprout::array(), other.i_ - i_); } SPROUT_CONSTEXPR result_type generate_impl_4(result_type z) const { return z ^ (z >> l); } SPROUT_CONSTEXPR result_type generate_impl_3(result_type z) const { return z ^ generate_impl_4((z << t) & c); } SPROUT_CONSTEXPR result_type generate_impl_2(result_type z) const { return z ^ generate_impl_3((z << s) & b); } SPROUT_CONSTEXPR result_type generate_impl_1(result_type z) const { return z ^ generate_impl_2((z >> u) & d); } SPROUT_CONSTEXPR result_type generate_impl() const { return generate_impl_1(x_[i_]); } SPROUT_CONSTEXPR sprout::random::random_result generate() const { return sprout::random::random_result( generate_impl(), mersenne_twister_engine( x_, i_ + 1, private_construct_t() ) ); } template SPROUT_CONSTEXPR mersenne_twister_engine twist_5(Args const&... args) const { return mersenne_twister_engine( sprout::array{{ args..., x_[m - 1] ^ ((x_[n - 1] & upper_mask) | (x_[0] & lower_mask) >> 1) ^ ((x_[0] & 1) * a) }}, 0, private_construct_t() ); } template SPROUT_CONSTEXPR typename std::enable_if< sizeof...(Args) == n - 1, mersenne_twister_engine >::type twist_4(std::size_t, Args const&... args) const { return twist_5(args...); } template SPROUT_CONSTEXPR typename std::enable_if< sizeof...(Args) < n - 1, mersenne_twister_engine >::type twist_4(std::size_t i, Args const&... args) const { 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) ); } template SPROUT_CONSTEXPR typename std::enable_if< sizeof...(Args) == n - 1 - unroll_extra2, mersenne_twister_engine >::type twist_3(std::size_t, Args const&... args) const { return twist_4(n - 1 - unroll_extra2, args...); } template SPROUT_CONSTEXPR typename std::enable_if< sizeof...(Args) < n - 1 - unroll_extra2, mersenne_twister_engine >::type twist_3(std::size_t i, Args const&... args) const { 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) ); } template SPROUT_CONSTEXPR typename std::enable_if< sizeof...(Args) == n - m, mersenne_twister_engine >::type twist_2(std::size_t, Args const&... args) const { return twist_3(n - m, args...); } template SPROUT_CONSTEXPR typename std::enable_if< sizeof...(Args) < n - m, mersenne_twister_engine >::type twist_2(std::size_t i, Args const&... args) const { return twist_2( i + 1, args..., x_[i + m] ^ ((x_[i] & upper_mask) | (x_[i + 1] & lower_mask) >> 1) ^ ((x_[i + 1] & 1) * a) ); } template SPROUT_CONSTEXPR typename std::enable_if< sizeof...(Args) == n - m - unroll_extra1, mersenne_twister_engine >::type twist_1(std::size_t, Args const&... args) const { return twist_2(n - m - unroll_extra1, args...); } template SPROUT_CONSTEXPR typename std::enable_if< sizeof...(Args) < n - m - unroll_extra1, mersenne_twister_engine >::type twist_1(std::size_t i, Args const&... args) const { return twist_1( i + 1, args..., x_[i + m] ^ ((x_[i] & upper_mask) | (x_[i + 1] & lower_mask) >> 1) ^ ((x_[i + 1] & 1) * a) ); } SPROUT_CONSTEXPR mersenne_twister_engine twist() const { return twist_1(0); } public: SPROUT_CONSTEXPR mersenne_twister_engine() : x_(init_seed(default_seed)) , i_(n) {} mersenne_twister_engine(mersenne_twister_engine const&) = default; explicit SPROUT_CONSTEXPR mersenne_twister_engine(result_type value) : x_(init_seed(value)) , i_(n) {} SPROUT_CONSTEXPR result_type min() const SPROUT_NOEXCEPT { return static_min(); } SPROUT_CONSTEXPR result_type max() const SPROUT_NOEXCEPT { return static_max(); } SPROUT_CONSTEXPR sprout::random::random_result const operator()() const { return i_ == n ? twist().generate() : generate() ; } friend SPROUT_CONSTEXPR bool operator==(mersenne_twister_engine const& lhs, mersenne_twister_engine const& rhs) SPROUT_NOEXCEPT { return lhs.i_ < rhs.i_ ? lhs.equal_impl(rhs) : rhs.equal_impl(lhs) ; } friend SPROUT_CONSTEXPR bool operator!=(mersenne_twister_engine const& lhs, mersenne_twister_engine const& rhs) SPROUT_NOEXCEPT { return !(lhs == rhs); } template friend SPROUT_NON_CONSTEXPR std::basic_istream& operator>>( std::basic_istream& lhs, mersenne_twister_engine& rhs ) { for (std::size_t i = 0; i < state_size; ++i) { lhs >> rhs.x_[i] >> std::ws; } rhs.i_ = state_size; return lhs; } template friend SPROUT_NON_CONSTEXPR std::basic_ostream& operator<<( std::basic_ostream& lhs, mersenne_twister_engine const& rhs ) { sprout::array data; for (std::size_t i = 0; i < rhs.i_; ++i) { data[i + n - rhs.i_] = rhs.x_[i]; } if (rhs.i_ != n) { data = rhs.rewind(data, &data[n - rhs.i_ - 1], n - rhs.i_); } lhs << data[0]; for (std::size_t i = 0; i < rhs.i_; ++i) { lhs << ' ' << data[i]; } return lhs; } }; 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 > SPROUT_CONSTEXPR_OR_CONST std::size_t sprout::random::mersenne_twister_engine::word_size ; 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 > SPROUT_CONSTEXPR_OR_CONST std::size_t sprout::random::mersenne_twister_engine::state_size ; 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 > SPROUT_CONSTEXPR_OR_CONST std::size_t sprout::random::mersenne_twister_engine::shift_size ; 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 > SPROUT_CONSTEXPR_OR_CONST std::size_t sprout::random::mersenne_twister_engine::mask_bits ; 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 > SPROUT_CONSTEXPR_OR_CONST UIntType sprout::random::mersenne_twister_engine::xor_mask ; 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 > SPROUT_CONSTEXPR_OR_CONST std::size_t sprout::random::mersenne_twister_engine::tempering_u ; 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 > SPROUT_CONSTEXPR_OR_CONST UIntType sprout::random::mersenne_twister_engine::tempering_d ; 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 > SPROUT_CONSTEXPR_OR_CONST std::size_t sprout::random::mersenne_twister_engine::tempering_s ; 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 > SPROUT_CONSTEXPR_OR_CONST UIntType sprout::random::mersenne_twister_engine::tempering_b ; 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 > SPROUT_CONSTEXPR_OR_CONST std::size_t sprout::random::mersenne_twister_engine::tempering_t ; 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 > SPROUT_CONSTEXPR_OR_CONST UIntType sprout::random::mersenne_twister_engine::tempering_c ; 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 > SPROUT_CONSTEXPR_OR_CONST std::size_t sprout::random::mersenne_twister_engine::tempering_l ; 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 > SPROUT_CONSTEXPR_OR_CONST UIntType sprout::random::mersenne_twister_engine::initialization_multiplier ; 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 > SPROUT_CONSTEXPR_OR_CONST UIntType sprout::random::mersenne_twister_engine::default_seed ; // // mt11213b // typedef sprout::random::mersenne_twister_engine< std::uint_fast32_t, 32, 351, 175, 19, 0xccab8ee7, 11, 0xffffffff, 7, 0x31b6ab00, 15, 0xffe50000, 17, 1812433253 > mt11213b; // // mt19937 // typedef sprout::random::mersenne_twister_engine< std::uint_fast32_t, 32, 624, 397, 31, 0x9908b0df, 11, 0xffffffff, 7, 0x9d2c5680, 15, 0xefc60000, 18, 1812433253 > mt19937; // // mt19937_64 // typedef sprout::random::mersenne_twister_engine< std::uint_fast64_t, 64, 312, 156, 31, SPROUT_UINT64_C(0xb5026f5aa96619e9), 29, SPROUT_UINT64_C(0x5555555555555555), 17, SPROUT_UINT64_C(0x71d67fffeda60000), 37, SPROUT_UINT64_C(0xfff7eee000000000), 43, SPROUT_UINT64_C(6364136223846793005) > mt19937_64; } // namespace random using sprout::random::mersenne_twister_engine; using sprout::random::mt11213b; using sprout::random::mt19937; using sprout::random::mt19937_64; } // namespace sprout #endif // #ifndef SPROUT_RANDOM_MERSENNE_TWISTER_HPP