#ifndef SPROUT_RANDOM_LINEAR_CONGRUENTIAL_HPP #define SPROUT_RANDOM_LINEAR_CONGRUENTIAL_HPP #include #include #include #include #include #include namespace sprout { namespace random { // // linear_congruential_engine // template class linear_congruential_engine { public: typedef IntType result_type; private: struct private_constructor_tag {}; public: SPROUT_STATIC_CONSTEXPR IntType multiplier = a; SPROUT_STATIC_CONSTEXPR IntType increment = c; SPROUT_STATIC_CONSTEXPR IntType modulus = m; SPROUT_STATIC_CONSTEXPR IntType default_seed = 1; public: static_assert(std::numeric_limits::is_integer, "std::numeric_limits::is_integer"); static_assert(m == 0 || a < m, "m == 0 || a < m"); static_assert(m == 0 || c < m, "m == 0 || c < m"); private: static SPROUT_CONSTEXPR bool arg_check_nothrow(IntType const& x0) { return x0 >= static_min() && x0 <= static_max(); } static SPROUT_CONSTEXPR IntType arg_check(IntType const& x0) { return arg_check_nothrow(x0) ? x0 : throw "assert(x0 >= static_min() && x0 <= static_max())" ; } static SPROUT_CONSTEXPR IntType init_seed_2(IntType const& x0) { return arg_check(increment == 0 && x0 == 0 ? 1 : x0); } static SPROUT_CONSTEXPR IntType init_seed_1(IntType const& x0) { return init_seed_2(x0 <= 0 && x0 != 0 ? x0 + modulus : x0); } static SPROUT_CONSTEXPR IntType init_seed(IntType const& x0) { return init_seed_1(modulus == 0 ? x0 : x0 % modulus); } public: static SPROUT_CONSTEXPR result_type static_min() { return c == 0 ? 1 : 0; } static SPROUT_CONSTEXPR result_type static_max() { return modulus - 1; } private: IntType x_; private: SPROUT_CONSTEXPR linear_congruential_engine(IntType const& x, private_constructor_tag) : x_(x) {} SPROUT_CONSTEXPR sprout::random::random_result generate(result_type result) const { return sprout::random::random_result( result, linear_congruential_engine(result, private_constructor_tag()) ); } public: SPROUT_CONSTEXPR linear_congruential_engine() : x_(init_seed(default_seed)) {} SPROUT_CONSTEXPR explicit linear_congruential_engine(IntType const& x0) : x_(init_seed(x0)) {} SPROUT_CONSTEXPR result_type min() const { return static_min(); } SPROUT_CONSTEXPR result_type max() const { return static_max(); } SPROUT_CONSTEXPR sprout::random::random_result operator()() const { return generate(sprout::random::detail::const_mod::mult_add(a, x_, c)); } friend SPROUT_CONSTEXPR bool operator==(linear_congruential_engine const& lhs, linear_congruential_engine const& rhs) { return lhs.x_ == rhs.x_; } friend SPROUT_CONSTEXPR bool operator!=(linear_congruential_engine const& lhs, linear_congruential_engine const& rhs) { return !(lhs == rhs); } template friend std::basic_istream& operator>>( std::basic_istream& lhs, linear_congruential_engine& rhs ) { IntType x; if(lhs >> x) { if(arg_check_nothrow(x)) { rhs.x_ = x; } else { lhs.setstate(std::ios_base::failbit); } } return lhs; } template friend std::basic_ostream& operator<<( std::basic_ostream& lhs, linear_congruential_engine const& rhs ) { return lhs << rhs.x_; } }; template SPROUT_CONSTEXPR IntType sprout::random::linear_congruential_engine::multiplier; template SPROUT_CONSTEXPR IntType sprout::random::linear_congruential_engine::increment; template SPROUT_CONSTEXPR IntType sprout::random::linear_congruential_engine::modulus; template SPROUT_CONSTEXPR IntType sprout::random::linear_congruential_engine::default_seed; // // minstd_rand0 // typedef sprout::random::linear_congruential_engine minstd_rand0; // // minstd_rand // typedef sprout::random::linear_congruential_engine minstd_rand; // // rand48 // class rand48 { public: typedef std::uint32_t result_type; private: struct private_constructor_tag {}; typedef sprout::random::linear_congruential_engine< std::uint64_t, std::uint64_t(0xDEECE66DUL) | (std::uint64_t(0x5) << 32), 0xB, std::uint64_t(1) << 48 > lcf_type; public: static SPROUT_CONSTEXPR result_type static_min() { return 0; } static SPROUT_CONSTEXPR result_type static_max() { return 0x7FFFFFFF; } static SPROUT_CONSTEXPR std::uint64_t cnv(std::uint32_t x) { return (static_cast(x) << 16) | 0x330e; } private: lcf_type lcf_; private: SPROUT_CONSTEXPR rand48(lcf_type const& lcf, private_constructor_tag) : lcf_(lcf) {} SPROUT_CONSTEXPR sprout::random::random_result generate( sprout::random::random_result const& lcf_result ) const { return sprout::random::random_result( lcf_result.result() >> 17, rand48(lcf_result.engine(), private_constructor_tag()) ); } public: SPROUT_CONSTEXPR rand48() : lcf_(cnv(static_cast(1))) {} SPROUT_CONSTEXPR explicit rand48(result_type const& x0) : lcf_(cnv(x0)) {} SPROUT_CONSTEXPR result_type min() const { return static_min(); } SPROUT_CONSTEXPR result_type max() const { return static_max(); } SPROUT_CONSTEXPR sprout::random::random_result operator()() const { return generate(lcf_()); } friend SPROUT_CONSTEXPR bool operator==(rand48 const& lhs, rand48 const& rhs) { return lhs.lcf_ == rhs.lcf_; } friend SPROUT_CONSTEXPR bool operator!=(rand48 const& lhs, rand48 const& rhs) { return !(lhs == rhs); } template friend std::basic_istream& operator>>( std::basic_istream& lhs, rand48& rhs ) { return lhs >> rhs.lcf_; } template friend std::basic_ostream& operator<<( std::basic_ostream& lhs, rand48 const& rhs ) { return lhs << rhs.lcf_; } }; } // namespace random using sprout::random::minstd_rand0; using sprout::random::minstd_rand; using sprout::random::rand48; } // namespace sprout #endif // #ifndef SPROUT_RANDOM_LINEAR_CONGRUENTIAL_HPP