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Diffstat (limited to 'data/iphoneos-sdk/v1/random')
| -rwxr-xr-x | data/iphoneos-sdk/v1/random | 6744 |
1 files changed, 6744 insertions, 0 deletions
diff --git a/data/iphoneos-sdk/v1/random b/data/iphoneos-sdk/v1/random new file mode 100755 index 000000000..9073a5285 --- /dev/null +++ b/data/iphoneos-sdk/v1/random @@ -0,0 +1,6744 @@ +// -*- C++ -*- +//===--------------------------- random -----------------------------------===// +// +// The LLVM Compiler Infrastructure +// +// This file is dual licensed under the MIT and the University of Illinois Open +// Source Licenses. See LICENSE.TXT for details. +// +//===----------------------------------------------------------------------===// + +#ifndef _LIBCPP_RANDOM +#define _LIBCPP_RANDOM + +/* + random synopsis + +#include <initializer_list> + +namespace std +{ + +// Engines + +template <class UIntType, UIntType a, UIntType c, UIntType m> +class linear_congruential_engine +{ +public: + // types + typedef UIntType result_type; + + // engine characteristics + static constexpr result_type multiplier = a; + static constexpr result_type increment = c; + static constexpr result_type modulus = m; + static constexpr result_type min() { return c == 0u ? 1u: 0u;} + static constexpr result_type max() { return m - 1u;} + static constexpr result_type default_seed = 1u; + + // constructors and seeding functions + explicit linear_congruential_engine(result_type s = default_seed); + template<class Sseq> explicit linear_congruential_engine(Sseq& q); + void seed(result_type s = default_seed); + template<class Sseq> void seed(Sseq& q); + + // generating functions + result_type operator()(); + void discard(unsigned long long z); +}; + +template <class UIntType, UIntType a, UIntType c, UIntType m> +bool +operator==(const linear_congruential_engine<UIntType, a, c, m>& x, + const linear_congruential_engine<UIntType, a, c, m>& y); + +template <class UIntType, UIntType a, UIntType c, UIntType m> +bool +operator!=(const linear_congruential_engine<UIntType, a, c, m>& x, + const linear_congruential_engine<UIntType, a, c, m>& y); + +template <class charT, class traits, + class UIntType, UIntType a, UIntType c, UIntType m> +basic_ostream<charT, traits>& +operator<<(basic_ostream<charT, traits>& os, + const linear_congruential_engine<UIntType, a, c, m>& x); + +template <class charT, class traits, + class UIntType, UIntType a, UIntType c, UIntType m> +basic_istream<charT, traits>& +operator>>(basic_istream<charT, traits>& is, + linear_congruential_engine<UIntType, a, c, m>& x); + +template <class UIntType, size_t w, size_t n, size_t m, size_t r, + UIntType a, size_t u, UIntType d, size_t s, + UIntType b, size_t t, UIntType c, size_t l, UIntType f> +class mersenne_twister_engine +{ +public: + // types + typedef UIntType result_type; + + // engine characteristics + static constexpr size_t word_size = w; + static constexpr size_t state_size = n; + static constexpr size_t shift_size = m; + static constexpr size_t mask_bits = r; + static constexpr result_type xor_mask = a; + static constexpr size_t tempering_u = u; + static constexpr result_type tempering_d = d; + static constexpr size_t tempering_s = s; + static constexpr result_type tempering_b = b; + static constexpr size_t tempering_t = t; + static constexpr result_type tempering_c = c; + static constexpr size_t tempering_l = l; + static constexpr result_type initialization_multiplier = f; + static constexpr result_type min () { return 0; } + static constexpr result_type max() { return 2^w - 1; } + static constexpr result_type default_seed = 5489u; + + // constructors and seeding functions + explicit mersenne_twister_engine(result_type value = default_seed); + template<class Sseq> explicit mersenne_twister_engine(Sseq& q); + void seed(result_type value = default_seed); + template<class Sseq> void seed(Sseq& q); + + // generating functions + result_type operator()(); + void discard(unsigned long long z); +}; + +template <class UIntType, size_t w, size_t n, size_t m, size_t r, + UIntType a, size_t u, UIntType d, size_t s, + UIntType b, size_t t, UIntType c, size_t l, UIntType f> +bool +operator==( + const mersenne_twister_engine<UIntType, w, n, m, r, a, u, d, s, b, t, c, l, f>& x, + const mersenne_twister_engine<UIntType, w, n, m, r, a, u, d, s, b, t, c, l, f>& y); + +template <class UIntType, size_t w, size_t n, size_t m, size_t r, + UIntType a, size_t u, UIntType d, size_t s, + UIntType b, size_t t, UIntType c, size_t l, UIntType f> +bool +operator!=( + const mersenne_twister_engine<UIntType, w, n, m, r, a, u, d, s, b, t, c, l, f>& x, + const mersenne_twister_engine<UIntType, w, n, m, r, a, u, d, s, b, t, c, l, f>& y); + +template <class charT, class traits, + class UIntType, size_t w, size_t n, size_t m, size_t r, + UIntType a, size_t u, UIntType d, size_t s, + UIntType b, size_t t, UIntType c, size_t l, UIntType f> +basic_ostream<charT, traits>& +operator<<(basic_ostream<charT, traits>& os, + const mersenne_twister_engine<UIntType, w, n, m, r, a, u, d, s, b, t, c, l, f>& x); + +template <class charT, class traits, + class UIntType, size_t w, size_t n, size_t m, size_t r, + UIntType a, size_t u, UIntType d, size_t s, + UIntType b, size_t t, UIntType c, size_t l, UIntType f> +basic_istream<charT, traits>& +operator>>(basic_istream<charT, traits>& is, + mersenne_twister_engine<UIntType, w, n, m, r, a, u, d, s, b, t, c, l, f>& x); + +template<class UIntType, size_t w, size_t s, size_t r> +class subtract_with_carry_engine +{ +public: + // types + typedef UIntType result_type; + + // engine characteristics + static constexpr size_t word_size = w; + static constexpr size_t short_lag = s; + static constexpr size_t long_lag = r; + static constexpr result_type min() { return 0; } + static constexpr result_type max() { return m-1; } + static constexpr result_type default_seed = 19780503u; + + // constructors and seeding functions + explicit subtract_with_carry_engine(result_type value = default_seed); + template<class Sseq> explicit subtract_with_carry_engine(Sseq& q); + void seed(result_type value = default_seed); + template<class Sseq> void seed(Sseq& q); + + // generating functions + result_type operator()(); + void discard(unsigned long long z); +}; + +template<class UIntType, size_t w, size_t s, size_t r> +bool +operator==( + const subtract_with_carry_engine<UIntType, w, s, r>& x, + const subtract_with_carry_engine<UIntType, w, s, r>& y); + +template<class UIntType, size_t w, size_t s, size_t r> +bool +operator!=( + const subtract_with_carry_engine<UIntType, w, s, r>& x, + const subtract_with_carry_engine<UIntType, w, s, r>& y); + +template <class charT, class traits, + class UIntType, size_t w, size_t s, size_t r> +basic_ostream<charT, traits>& +operator<<(basic_ostream<charT, traits>& os, + const subtract_with_carry_engine<UIntType, w, s, r>& x); + +template <class charT, class traits, + class UIntType, size_t w, size_t s, size_t r> +basic_istream<charT, traits>& +operator>>(basic_istream<charT, traits>& is, + subtract_with_carry_engine<UIntType, w, s, r>& x); + +template<class Engine, size_t p, size_t r> +class discard_block_engine +{ +public: + // types + typedef typename Engine::result_type result_type; + + // engine characteristics + static constexpr size_t block_size = p; + static constexpr size_t used_block = r; + static constexpr result_type min() { return Engine::min(); } + static constexpr result_type max() { return Engine::max(); } + + // constructors and seeding functions + discard_block_engine(); + explicit discard_block_engine(const Engine& e); + explicit discard_block_engine(Engine&& e); + explicit discard_block_engine(result_type s); + template<class Sseq> explicit discard_block_engine(Sseq& q); + void seed(); + void seed(result_type s); + template<class Sseq> void seed(Sseq& q); + + // generating functions + result_type operator()(); + void discard(unsigned long long z); + + // property functions + const Engine& base() const noexcept; +}; + +template<class Engine, size_t p, size_t r> +bool +operator==( + const discard_block_engine<Engine, p, r>& x, + const discard_block_engine<Engine, p, r>& y); + +template<class Engine, size_t p, size_t r> +bool +operator!=( + const discard_block_engine<Engine, p, r>& x, + const discard_block_engine<Engine, p, r>& y); + +template <class charT, class traits, + class Engine, size_t p, size_t r> +basic_ostream<charT, traits>& +operator<<(basic_ostream<charT, traits>& os, + const discard_block_engine<Engine, p, r>& x); + +template <class charT, class traits, + class Engine, size_t p, size_t r> +basic_istream<charT, traits>& +operator>>(basic_istream<charT, traits>& is, + discard_block_engine<Engine, p, r>& x); + +template<class Engine, size_t w, class UIntType> +class independent_bits_engine +{ +public: + // types + typedef UIntType result_type; + + // engine characteristics + static constexpr result_type min() { return 0; } + static constexpr result_type max() { return 2^w - 1; } + + // constructors and seeding functions + independent_bits_engine(); + explicit independent_bits_engine(const Engine& e); + explicit independent_bits_engine(Engine&& e); + explicit independent_bits_engine(result_type s); + template<class Sseq> explicit independent_bits_engine(Sseq& q); + void seed(); + void seed(result_type s); + template<class Sseq> void seed(Sseq& q); + + // generating functions + result_type operator()(); void discard(unsigned long long z); + + // property functions + const Engine& base() const noexcept; +}; + +template<class Engine, size_t w, class UIntType> +bool +operator==( + const independent_bits_engine<Engine, w, UIntType>& x, + const independent_bits_engine<Engine, w, UIntType>& y); + +template<class Engine, size_t w, class UIntType> +bool +operator!=( + const independent_bits_engine<Engine, w, UIntType>& x, + const independent_bits_engine<Engine, w, UIntType>& y); + +template <class charT, class traits, + class Engine, size_t w, class UIntType> +basic_ostream<charT, traits>& +operator<<(basic_ostream<charT, traits>& os, + const independent_bits_engine<Engine, w, UIntType>& x); + +template <class charT, class traits, + class Engine, size_t w, class UIntType> +basic_istream<charT, traits>& +operator>>(basic_istream<charT, traits>& is, + independent_bits_engine<Engine, w, UIntType>& x); + +template<class Engine, size_t k> +class shuffle_order_engine +{ +public: + // types + typedef typename Engine::result_type result_type; + + // engine characteristics + static constexpr size_t table_size = k; + static constexpr result_type min() { return Engine::min; } + static constexpr result_type max() { return Engine::max; } + + // constructors and seeding functions + shuffle_order_engine(); + explicit shuffle_order_engine(const Engine& e); + explicit shuffle_order_engine(Engine&& e); + explicit shuffle_order_engine(result_type s); + template<class Sseq> explicit shuffle_order_engine(Sseq& q); + void seed(); + void seed(result_type s); + template<class Sseq> void seed(Sseq& q); + + // generating functions + result_type operator()(); + void discard(unsigned long long z); + + // property functions + const Engine& base() const noexcept; +}; + +template<class Engine, size_t k> +bool +operator==( + const shuffle_order_engine<Engine, k>& x, + const shuffle_order_engine<Engine, k>& y); + +template<class Engine, size_t k> +bool +operator!=( + const shuffle_order_engine<Engine, k>& x, + const shuffle_order_engine<Engine, k>& y); + +template <class charT, class traits, + class Engine, size_t k> +basic_ostream<charT, traits>& +operator<<(basic_ostream<charT, traits>& os, + const shuffle_order_engine<Engine, k>& x); + +template <class charT, class traits, + class Engine, size_t k> +basic_istream<charT, traits>& +operator>>(basic_istream<charT, traits>& is, + shuffle_order_engine<Engine, k>& x); + +typedef linear_congruential_engine<uint_fast32_t, 16807, 0, 2147483647> + minstd_rand0; +typedef linear_congruential_engine<uint_fast32_t, 48271, 0, 2147483647> + minstd_rand; +typedef mersenne_twister_engine<uint_fast32_t, 32, 624, 397, 31, + 0x9908b0df, + 11, 0xffffffff, + 7, 0x9d2c5680, + 15, 0xefc60000, + 18, 1812433253> mt19937; +typedef mersenne_twister_engine<uint_fast64_t, 64, 312, 156, 31, + 0xb5026f5aa96619e9, + 29, 0x5555555555555555, + 17, 0x71d67fffeda60000, + 37, 0xfff7eee000000000, + 43, 6364136223846793005> mt19937_64; +typedef subtract_with_carry_engine<uint_fast32_t, 24, 10, 24> ranlux24_base; +typedef subtract_with_carry_engine<uint_fast64_t, 48, 5, 12> ranlux48_base; +typedef discard_block_engine<ranlux24_base, 223, 23> ranlux24; +typedef discard_block_engine<ranlux48_base, 389, 11> ranlux48; +typedef shuffle_order_engine<minstd_rand0, 256> knuth_b; +typedef minstd_rand default_random_engine; + +// Generators + +class random_device +{ +public: + // types + typedef unsigned int result_type; + + // generator characteristics + static constexpr result_type min() { return numeric_limits<result_type>::min(); } + static constexpr result_type max() { return numeric_limits<result_type>::max(); } + + // constructors + explicit random_device(const string& token = "/dev/urandom"); + + // generating functions + result_type operator()(); + + // property functions + double entropy() const noexcept; + + // no copy functions + random_device(const random_device& ) = delete; + void operator=(const random_device& ) = delete; +}; + +// Utilities + +class seed_seq +{ +public: + // types + typedef uint_least32_t result_type; + + // constructors + seed_seq(); + template<class T> + seed_seq(initializer_list<T> il); + template<class InputIterator> + seed_seq(InputIterator begin, InputIterator end); + + // generating functions + template<class RandomAccessIterator> + void generate(RandomAccessIterator begin, RandomAccessIterator end); + + // property functions + size_t size() const; + template<class OutputIterator> + void param(OutputIterator dest) const; + + // no copy functions + seed_seq(const seed_seq&) = delete; + void operator=(const seed_seq& ) = delete; +}; + +template<class RealType, size_t bits, class URNG> + RealType generate_canonical(URNG& g); + +// Distributions + +template<class IntType = int> +class uniform_int_distribution +{ +public: + // types + typedef IntType result_type; + + class param_type + { + public: + typedef uniform_int_distribution distribution_type; + + explicit param_type(IntType a = 0, + IntType b = numeric_limits<IntType>::max()); + + result_type a() const; + result_type b() const; + + friend bool operator==(const param_type& x, const param_type& y); + friend bool operator!=(const param_type& x, const param_type& y); + }; + + // constructors and reset functions + explicit uniform_int_distribution(IntType a = 0, + IntType b = numeric_limits<IntType>::max()); + explicit uniform_int_distribution(const param_type& parm); + void reset(); + + // generating functions + template<class URNG> result_type operator()(URNG& g); + template<class URNG> result_type operator()(URNG& g, const param_type& parm); + + // property functions + result_type a() const; + result_type b() const; + + param_type param() const; + void param(const param_type& parm); + + result_type min() const; + result_type max() const; + + friend bool operator==(const uniform_int_distribution& x, + const uniform_int_distribution& y); + friend bool operator!=(const uniform_int_distribution& x, + const uniform_int_distribution& y); + + template <class charT, class traits> + friend + basic_ostream<charT, traits>& + operator<<(basic_ostream<charT, traits>& os, + const uniform_int_distribution& x); + + template <class charT, class traits> + friend + basic_istream<charT, traits>& + operator>>(basic_istream<charT, traits>& is, + uniform_int_distribution& x); +}; + +template<class RealType = double> +class uniform_real_distribution +{ +public: + // types + typedef RealType result_type; + + class param_type + { + public: + typedef uniform_real_distribution distribution_type; + + explicit param_type(RealType a = 0, + RealType b = 1); + + result_type a() const; + result_type b() const; + + friend bool operator==(const param_type& x, const param_type& y); + friend bool operator!=(const param_type& x, const param_type& y); + }; + + // constructors and reset functions + explicit uniform_real_distribution(RealType a = 0.0, RealType b = 1.0); + explicit uniform_real_distribution(const param_type& parm); + void reset(); + + // generating functions + template<class URNG> result_type operator()(URNG& g); + template<class URNG> result_type operator()(URNG& g, const param_type& parm); + + // property functions + result_type a() const; + result_type b() const; + + param_type param() const; + void param(const param_type& parm); + + result_type min() const; + result_type max() const; + + friend bool operator==(const uniform_real_distribution& x, + const uniform_real_distribution& y); + friend bool operator!=(const uniform_real_distribution& x, + const uniform_real_distribution& y); + + template <class charT, class traits> + friend + basic_ostream<charT, traits>& + operator<<(basic_ostream<charT, traits>& os, + const uniform_real_distribution& x); + + template <class charT, class traits> + friend + basic_istream<charT, traits>& + operator>>(basic_istream<charT, traits>& is, + uniform_real_distribution& x); +}; + +class bernoulli_distribution +{ +public: + // types + typedef bool result_type; + + class param_type + { + public: + typedef bernoulli_distribution distribution_type; + + explicit param_type(double p = 0.5); + + double p() const; + + friend bool operator==(const param_type& x, const param_type& y); + friend bool operator!=(const param_type& x, const param_type& y); + }; + + // constructors and reset functions + explicit bernoulli_distribution(double p = 0.5); + explicit bernoulli_distribution(const param_type& parm); + void reset(); + + // generating functions + template<class URNG> result_type operator()(URNG& g); + template<class URNG> result_type operator()(URNG& g, const param_type& parm); + + // property functions + double p() const; + + param_type param() const; + void param(const param_type& parm); + + result_type min() const; + result_type max() const; + + friend bool operator==(const bernoulli_distribution& x, + const bernoulli_distribution& y); + friend bool operator!=(const bernoulli_distribution& x, + const bernoulli_distribution& y); + + template <class charT, class traits> + friend + basic_ostream<charT, traits>& + operator<<(basic_ostream<charT, traits>& os, + const bernoulli_distribution& x); + + template <class charT, class traits> + friend + basic_istream<charT, traits>& + operator>>(basic_istream<charT, traits>& is, + bernoulli_distribution& x); +}; + +template<class IntType = int> +class binomial_distribution +{ +public: + // types + typedef IntType result_type; + + class param_type + { + public: + typedef binomial_distribution distribution_type; + + explicit param_type(IntType t = 1, double p = 0.5); + + IntType t() const; + double p() const; + + friend bool operator==(const param_type& x, const param_type& y); + friend bool operator!=(const param_type& x, const param_type& y); + }; + + // constructors and reset functions + explicit binomial_distribution(IntType t = 1, double p = 0.5); + explicit binomial_distribution(const param_type& parm); + void reset(); + + // generating functions + template<class URNG> result_type operator()(URNG& g); + template<class URNG> result_type operator()(URNG& g, const param_type& parm); + + // property functions + IntType t() const; + double p() const; + + param_type param() const; + void param(const param_type& parm); + + result_type min() const; + result_type max() const; + + friend bool operator==(const binomial_distribution& x, + const binomial_distribution& y); + friend bool operator!=(const binomial_distribution& x, + const binomial_distribution& y); + + template <class charT, class traits> + friend + basic_ostream<charT, traits>& + operator<<(basic_ostream<charT, traits>& os, + const binomial_distribution& x); + + template <class charT, class traits> + friend + basic_istream<charT, traits>& + operator>>(basic_istream<charT, traits>& is, + binomial_distribution& x); +}; + +template<class IntType = int> +class geometric_distribution +{ +public: + // types + typedef IntType result_type; + + class param_type + { + public: + typedef geometric_distribution distribution_type; + + explicit param_type(double p = 0.5); + + double p() const; + + friend bool operator==(const param_type& x, const param_type& y); + friend bool operator!=(const param_type& x, const param_type& y); + }; + + // constructors and reset functions + explicit geometric_distribution(double p = 0.5); + explicit geometric_distribution(const param_type& parm); + void reset(); + + // generating functions + template<class URNG> result_type operator()(URNG& g); + template<class URNG> result_type operator()(URNG& g, const param_type& parm); + + // property functions + double p() const; + + param_type param() const; + void param(const param_type& parm); + + result_type min() const; + result_type max() const; + + friend bool operator==(const geometric_distribution& x, + const geometric_distribution& y); + friend bool operator!=(const geometric_distribution& x, + const geometric_distribution& y); + + template <class charT, class traits> + friend + basic_ostream<charT, traits>& + operator<<(basic_ostream<charT, traits>& os, + const geometric_distribution& x); + + template <class charT, class traits> + friend + basic_istream<charT, traits>& + operator>>(basic_istream<charT, traits>& is, + geometric_distribution& x); +}; + +template<class IntType = int> +class negative_binomial_distribution +{ +public: + // types + typedef IntType result_type; + + class param_type + { + public: + typedef negative_binomial_distribution distribution_type; + + explicit param_type(result_type k = 1, double p = 0.5); + + result_type k() const; + double p() const; + + friend bool operator==(const param_type& x, const param_type& y); + friend bool operator!=(const param_type& x, const param_type& y); + }; + + // constructor and reset functions + explicit negative_binomial_distribution(result_type k = 1, double p = 0.5); + explicit negative_binomial_distribution(const param_type& parm); + void reset(); + + // generating functions + template<class URNG> result_type operator()(URNG& g); + template<class URNG> result_type operator()(URNG& g, const param_type& parm); + + // property functions + result_type k() const; + double p() const; + + param_type param() const; + void param(const param_type& parm); + + result_type min() const; + result_type max() const; + + friend bool operator==(const negative_binomial_distribution& x, + const negative_binomial_distribution& y); + friend bool operator!=(const negative_binomial_distribution& x, + const negative_binomial_distribution& y); + + template <class charT, class traits> + friend + basic_ostream<charT, traits>& + operator<<(basic_ostream<charT, traits>& os, + const negative_binomial_distribution& x); + + template <class charT, class traits> + friend + basic_istream<charT, traits>& + operator>>(basic_istream<charT, traits>& is, + negative_binomial_distribution& x); +}; + +template<class IntType = int> +class poisson_distribution +{ +public: + // types + typedef IntType result_type; + + class param_type + { + public: + typedef poisson_distribution distribution_type; + + explicit param_type(double mean = 1.0); + + double mean() const; + + friend bool operator==(const param_type& x, const param_type& y); + friend bool operator!=(const param_type& x, const param_type& y); + }; + + // constructors and reset functions + explicit poisson_distribution(double mean = 1.0); + explicit poisson_distribution(const param_type& parm); + void reset(); + + // generating functions + template<class URNG> result_type operator()(URNG& g); + template<class URNG> result_type operator()(URNG& g, const param_type& parm); + + // property functions + double mean() const; + + param_type param() const; + void param(const param_type& parm); + + result_type min() const; + result_type max() const; + + friend bool operator==(const poisson_distribution& x, + const poisson_distribution& y); + friend bool operator!=(const poisson_distribution& x, + const poisson_distribution& y); + + template <class charT, class traits> + friend + basic_ostream<charT, traits>& + operator<<(basic_ostream<charT, traits>& os, + const poisson_distribution& x); + + template <class charT, class traits> + friend + basic_istream<charT, traits>& + operator>>(basic_istream<charT, traits>& is, + poisson_distribution& x); +}; + +template<class RealType = double> +class exponential_distribution +{ +public: + // types + typedef RealType result_type; + + class param_type + { + public: + typedef exponential_distribution distribution_type; + + explicit param_type(result_type lambda = 1.0); + + result_type lambda() const; + + friend bool operator==(const param_type& x, const param_type& y); + friend bool operator!=(const param_type& x, const param_type& y); + }; + + // constructors and reset functions + explicit exponential_distribution(result_type lambda = 1.0); + explicit exponential_distribution(const param_type& parm); + void reset(); + + // generating functions + template<class URNG> result_type operator()(URNG& g); + template<class URNG> result_type operator()(URNG& g, const param_type& parm); + + // property functions + result_type lambda() const; + + param_type param() const; + void param(const param_type& parm); + + result_type min() const; + result_type max() const; + + friend bool operator==(const exponential_distribution& x, + const exponential_distribution& y); + friend bool operator!=(const exponential_distribution& x, + const exponential_distribution& y); + + template <class charT, class traits> + friend + basic_ostream<charT, traits>& + operator<<(basic_ostream<charT, traits>& os, + const exponential_distribution& x); + + template <class charT, class traits> + friend + basic_istream<charT, traits>& + operator>>(basic_istream<charT, traits>& is, + exponential_distribution& x); +}; + +template<class RealType = double> +class gamma_distribution +{ +public: + // types + typedef RealType result_type; + + class param_type + { + public: + typedef gamma_distribution distribution_type; + + explicit param_type(result_type alpha = 1, result_type beta = 1); + + result_type alpha() const; + result_type beta() const; + + friend bool operator==(const param_type& x, const param_type& y); + friend bool operator!=(const param_type& x, const param_type& y); + }; + + // constructors and reset functions + explicit gamma_distribution(result_type alpha = 1, result_type beta = 1); + explicit gamma_distribution(const param_type& parm); + void reset(); + + // generating functions + template<class URNG> result_type operator()(URNG& g); + template<class URNG> result_type operator()(URNG& g, const param_type& parm); + + // property functions + result_type alpha() const; + result_type beta() const; + + param_type param() const; + void param(const param_type& parm); + + result_type min() const; + result_type max() const; + + friend bool operator==(const gamma_distribution& x, + const gamma_distribution& y); + friend bool operator!=(const gamma_distribution& x, + const gamma_distribution& y); + + template <class charT, class traits> + friend + basic_ostream<charT, traits>& + operator<<(basic_ostream<charT, traits>& os, + const gamma_distribution& x); + + template <class charT, class traits> + friend + basic_istream<charT, traits>& + operator>>(basic_istream<charT, traits>& is, + gamma_distribution& x); +}; + +template<class RealType = double> +class weibull_distribution +{ +public: + // types + typedef RealType result_type; + + class param_type + { + public: + typedef weibull_distribution distribution_type; + + explicit param_type(result_type alpha = 1, result_type beta = 1); + + result_type a() const; + result_type b() const; + + friend bool operator==(const param_type& x, const param_type& y); + friend bool operator!=(const param_type& x, const param_type& y); + }; + + // constructor and reset functions + explicit weibull_distribution(result_type a = 1, result_type b = 1); + explicit weibull_distribution(const param_type& parm); + void reset(); + + // generating functions + template<class URNG> result_type operator()(URNG& g); + template<class URNG> result_type operator()(URNG& g, const param_type& parm); + + // property functions + result_type a() const; + result_type b() const; + + param_type param() const; + void param(const param_type& parm); + + result_type min() const; + result_type max() const; + + friend bool operator==(const weibull_distribution& x, + const weibull_distribution& y); + friend bool operator!=(const weibull_distribution& x, + const weibull_distribution& y); + + template <class charT, class traits> + friend + basic_ostream<charT, traits>& + operator<<(basic_ostream<charT, traits>& os, + const weibull_distribution& x); + + template <class charT, class traits> + friend + basic_istream<charT, traits>& + operator>>(basic_istream<charT, traits>& is, + weibull_distribution& x); +}; + +template<class RealType = double> +class extreme_value_distribution +{ +public: + // types + typedef RealType result_type; + + class param_type + { + public: + typedef extreme_value_distribution distribution_type; + + explicit param_type(result_type a = 0, result_type b = 1); + + result_type a() const; + result_type b() const; + + friend bool operator==(const param_type& x, const param_type& y); + friend bool operator!=(const param_type& x, const param_type& y); + }; + + // constructor and reset functions + explicit extreme_value_distribution(result_type a = 0, result_type b = 1); + explicit extreme_value_distribution(const param_type& parm); + void reset(); + + // generating functions + template<class URNG> result_type operator()(URNG& g); + template<class URNG> result_type operator()(URNG& g, const param_type& parm); + + // property functions + result_type a() const; + result_type b() const; + + param_type param() const; + void param(const param_type& parm); + + result_type min() const; + result_type max() const; + + friend bool operator==(const extreme_value_distribution& x, + const extreme_value_distribution& y); + friend bool operator!=(const extreme_value_distribution& x, + const extreme_value_distribution& y); + + template <class charT, class traits> + friend + basic_ostream<charT, traits>& + operator<<(basic_ostream<charT, traits>& os, + const extreme_value_distribution& x); + + template <class charT, class traits> + friend + basic_istream<charT, traits>& + operator>>(basic_istream<charT, traits>& is, + extreme_value_distribution& x); +}; + +template<class RealType = double> +class normal_distribution +{ +public: + // types + typedef RealType result_type; + + class param_type + { + public: + typedef normal_distribution distribution_type; + + explicit param_type(result_type mean = 0, result_type stddev = 1); + + result_type mean() const; + result_type stddev() const; + + friend bool operator==(const param_type& x, const param_type& y); + friend bool operator!=(const param_type& x, const param_type& y); + }; + + // constructors and reset functions + explicit normal_distribution(result_type mean = 0, result_type stddev = 1); + explicit normal_distribution(const param_type& parm); + void reset(); + + // generating functions + template<class URNG> result_type operator()(URNG& g); + template<class URNG> result_type operator()(URNG& g, const param_type& parm); + + // property functions + result_type mean() const; + result_type stddev() const; + + param_type param() const; + void param(const param_type& parm); + + result_type min() const; + result_type max() const; + + friend bool operator==(const normal_distribution& x, + const normal_distribution& y); + friend bool operator!=(const normal_distribution& x, + const normal_distribution& y); + + template <class charT, class traits> + friend + basic_ostream<charT, traits>& + operator<<(basic_ostream<charT, traits>& os, + const normal_distribution& x); + + template <class charT, class traits> + friend + basic_istream<charT, traits>& + operator>>(basic_istream<charT, traits>& is, + normal_distribution& x); +}; + +template<class RealType = double> +class lognormal_distribution +{ +public: + // types + typedef RealType result_type; + + class param_type + { + public: + typedef lognormal_distribution distribution_type; + + explicit param_type(result_type m = 0, result_type s = 1); + + result_type m() const; + result_type s() const; + + friend bool operator==(const param_type& x, const param_type& y); + friend bool operator!=(const param_type& x, const param_type& y); + }; + + // constructor and reset functions + explicit lognormal_distribution(result_type m = 0, result_type s = 1); + explicit lognormal_distribution(const param_type& parm); + void reset(); + + // generating functions + template<class URNG> result_type operator()(URNG& g); + template<class URNG> result_type operator()(URNG& g, const param_type& parm); + + // property functions + result_type m() const; + result_type s() const; + + param_type param() const; + void param(const param_type& parm); + + result_type min() const; + result_type max() const; + + friend bool operator==(const lognormal_distribution& x, + const lognormal_distribution& y); + friend bool operator!=(const lognormal_distribution& x, + const lognormal_distribution& y); + + template <class charT, class traits> + friend + basic_ostream<charT, traits>& + operator<<(basic_ostream<charT, traits>& os, + const lognormal_distribution& x); + + template <class charT, class traits> + friend + basic_istream<charT, traits>& + operator>>(basic_istream<charT, traits>& is, + lognormal_distribution& x); +}; + +template<class RealType = double> +class chi_squared_distribution +{ +public: + // types + typedef RealType result_type; + + class param_type + { + public: + typedef chi_squared_distribution distribution_type; + + explicit param_type(result_type n = 1); + + result_type n() const; + + friend bool operator==(const param_type& x, const param_type& y); + friend bool operator!=(const param_type& x, const param_type& y); + }; + + // constructor and reset functions + explicit chi_squared_distribution(result_type n = 1); + explicit chi_squared_distribution(const param_type& parm); + void reset(); + + // generating functions + template<class URNG> result_type operator()(URNG& g); + template<class URNG> result_type operator()(URNG& g, const param_type& parm); + + // property functions + result_type n() const; + + param_type param() const; + void param(const param_type& parm); + + result_type min() const; + result_type max() const; + + friend bool operator==(const chi_squared_distribution& x, + const chi_squared_distribution& y); + friend bool operator!=(const chi_squared_distribution& x, + const chi_squared_distribution& y); + + template <class charT, class traits> + friend + basic_ostream<charT, traits>& + operator<<(basic_ostream<charT, traits>& os, + const chi_squared_distribution& x); + + template <class charT, class traits> + friend + basic_istream<charT, traits>& + operator>>(basic_istream<charT, traits>& is, + chi_squared_distribution& x); +}; + +template<class RealType = double> +class cauchy_distribution +{ +public: + // types + typedef RealType result_type; + + class param_type + { + public: + typedef cauchy_distribution distribution_type; + + explicit param_type(result_type a = 0, result_type b = 1); + + result_type a() const; + result_type b() const; + + friend bool operator==(const param_type& x, const param_type& y); + friend bool operator!=(const param_type& x, const param_type& y); + }; + + // constructor and reset functions + explicit cauchy_distribution(result_type a = 0, result_type b = 1); + explicit cauchy_distribution(const param_type& parm); + void reset(); + + // generating functions + template<class URNG> result_type operator()(URNG& g); + template<class URNG> result_type operator()(URNG& g, const param_type& parm); + + // property functions + result_type a() const; + result_type b() const; + + param_type param() const; + void param(const param_type& parm); + + result_type min() const; + result_type max() const; + + friend bool operator==(const cauchy_distribution& x, + const cauchy_distribution& y); + friend bool operator!=(const cauchy_distribution& x, + const cauchy_distribution& y); + + template <class charT, class traits> + friend + basic_ostream<charT, traits>& + operator<<(basic_ostream<charT, traits>& os, + const cauchy_distribution& x); + + template <class charT, class traits> + friend + basic_istream<charT, traits>& + operator>>(basic_istream<charT, traits>& is, + cauchy_distribution& x); +}; + +template<class RealType = double> +class fisher_f_distribution +{ +public: + // types + typedef RealType result_type; + + class param_type + { + public: + typedef fisher_f_distribution distribution_type; + + explicit param_type(result_type m = 1, result_type n = 1); + + result_type m() const; + result_type n() const; + + friend bool operator==(const param_type& x, const param_type& y); + friend bool operator!=(const param_type& x, const param_type& y); + }; + + // constructor and reset functions + explicit fisher_f_distribution(result_type m = 1, result_type n = 1); + explicit fisher_f_distribution(const param_type& parm); + void reset(); + + // generating functions + template<class URNG> result_type operator()(URNG& g); + template<class URNG> result_type operator()(URNG& g, const param_type& parm); + + // property functions + result_type m() const; + result_type n() const; + + param_type param() const; + void param(const param_type& parm); + + result_type min() const; + result_type max() const; + + friend bool operator==(const fisher_f_distribution& x, + const fisher_f_distribution& y); + friend bool operator!=(const fisher_f_distribution& x, + const fisher_f_distribution& y); + + template <class charT, class traits> + friend + basic_ostream<charT, traits>& + operator<<(basic_ostream<charT, traits>& os, + const fisher_f_distribution& x); + + template <class charT, class traits> + friend + basic_istream<charT, traits>& + operator>>(basic_istream<charT, traits>& is, + fisher_f_distribution& x); +}; + +template<class RealType = double> +class student_t_distribution +{ +public: + // types + typedef RealType result_type; + + class param_type + { + public: + typedef student_t_distribution distribution_type; + + explicit param_type(result_type n = 1); + + result_type n() const; + + friend bool operator==(const param_type& x, const param_type& y); + friend bool operator!=(const param_type& x, const param_type& y); + }; + + // constructor and reset functions + explicit student_t_distribution(result_type n = 1); + explicit student_t_distribution(const param_type& parm); + void reset(); + + // generating functions + template<class URNG> result_type operator()(URNG& g); + template<class URNG> result_type operator()(URNG& g, const param_type& parm); + + // property functions + result_type n() const; + + param_type param() const; + void param(const param_type& parm); + + result_type min() const; + result_type max() const; + + friend bool operator==(const student_t_distribution& x, + const student_t_distribution& y); + friend bool operator!=(const student_t_distribution& x, + const student_t_distribution& y); + + template <class charT, class traits> + friend + basic_ostream<charT, traits>& + operator<<(basic_ostream<charT, traits>& os, + const student_t_distribution& x); + + template <class charT, class traits> + friend + basic_istream<charT, traits>& + operator>>(basic_istream<charT, traits>& is, + student_t_distribution& x); +}; + +template<class IntType = int> +class discrete_distribution +{ +public: + // types + typedef IntType result_type; + + class param_type + { + public: + typedef discrete_distribution distribution_type; + + param_type(); + template<class InputIterator> + param_type(InputIterator firstW, InputIterator lastW); + param_type(initializer_list<double> wl); + template<class UnaryOperation> + param_type(size_t nw, double xmin, double xmax, UnaryOperation fw); + + vector<double> probabilities() const; + + friend bool operator==(const param_type& x, const param_type& y); + friend bool operator!=(const param_type& x, const param_type& y); + }; + + // constructor and reset functions + discrete_distribution(); + template<class InputIterator> + discrete_distribution(InputIterator firstW, InputIterator lastW); + discrete_distribution(initializer_list<double> wl); + template<class UnaryOperation> + discrete_distribution(size_t nw, double xmin, double xmax, + UnaryOperation fw); + explicit discrete_distribution(const param_type& parm); + void reset(); + + // generating functions + template<class URNG> result_type operator()(URNG& g); + template<class URNG> result_type operator()(URNG& g, const param_type& parm); + + // property functions + vector<double> probabilities() const; + + param_type param() const; + void param(const param_type& parm); + + result_type min() const; + result_type max() const; + + friend bool operator==(const discrete_distribution& x, + const discrete_distribution& y); + friend bool operator!=(const discrete_distribution& x, + const discrete_distribution& y); + + template <class charT, class traits> + friend + basic_ostream<charT, traits>& + operator<<(basic_ostream<charT, traits>& os, + const discrete_distribution& x); + + template <class charT, class traits> + friend + basic_istream<charT, traits>& + operator>>(basic_istream<charT, traits>& is, + discrete_distribution& x); +}; + +template<class RealType = double> +class piecewise_constant_distribution +{ + // types + typedef RealType result_type; + + class param_type + { + public: + typedef piecewise_constant_distribution distribution_type; + + param_type(); + template<class InputIteratorB, class InputIteratorW> + param_type(InputIteratorB firstB, InputIteratorB lastB, + InputIteratorW firstW); + template<class UnaryOperation> + param_type(initializer_list<result_type> bl, UnaryOperation fw); + template<class UnaryOperation> + param_type(size_t nw, result_type xmin, result_type xmax, + UnaryOperation fw); + + vector<result_type> intervals() const; + vector<result_type> densities() const; + + friend bool operator==(const param_type& x, const param_type& y); + friend bool operator!=(const param_type& x, const param_type& y); + }; + + // constructor and reset functions + piecewise_constant_distribution(); + template<class InputIteratorB, class InputIteratorW> + piecewise_constant_distribution(InputIteratorB firstB, + InputIteratorB lastB, + InputIteratorW firstW); + template<class UnaryOperation> + piecewise_constant_distribution(initializer_list<result_type> bl, + UnaryOperation fw); + template<class UnaryOperation> + piecewise_constant_distribution(size_t nw, result_type xmin, + result_type xmax, UnaryOperation fw); + explicit piecewise_constant_distribution(const param_type& parm); + void reset(); + + // generating functions + template<class URNG> result_type operator()(URNG& g); + template<class URNG> result_type operator()(URNG& g, const param_type& parm); + + // property functions + vector<result_type> intervals() const; + vector<result_type> densities() const; + + param_type param() const; + void param(const param_type& parm); + + result_type min() const; + result_type max() const; + + friend bool operator==(const piecewise_constant_distribution& x, + const piecewise_constant_distribution& y); + friend bool operator!=(const piecewise_constant_distribution& x, + const piecewise_constant_distribution& y); + + template <class charT, class traits> + friend + basic_ostream<charT, traits>& + operator<<(basic_ostream<charT, traits>& os, + const piecewise_constant_distribution& x); + + template <class charT, class traits> + friend + basic_istream<charT, traits>& + operator>>(basic_istream<charT, traits>& is, + piecewise_constant_distribution& x); +}; + +template<class RealType = double> +class piecewise_linear_distribution +{ + // types + typedef RealType result_type; + + class param_type + { + public: + typedef piecewise_linear_distribution distribution_type; + + param_type(); + template<class InputIteratorB, class InputIteratorW> + param_type(InputIteratorB firstB, InputIteratorB lastB, + InputIteratorW firstW); + template<class UnaryOperation> + param_type(initializer_list<result_type> bl, UnaryOperation fw); + template<class UnaryOperation> + param_type(size_t nw, result_type xmin, result_type xmax, + UnaryOperation fw); + + vector<result_type> intervals() const; + vector<result_type> densities() const; + + friend bool operator==(const param_type& x, const param_type& y); + friend bool operator!=(const param_type& x, const param_type& y); + }; + + // constructor and reset functions + piecewise_linear_distribution(); + template<class InputIteratorB, class InputIteratorW> + piecewise_linear_distribution(InputIteratorB firstB, + InputIteratorB lastB, + InputIteratorW firstW); + + template<class UnaryOperation> + piecewise_linear_distribution(initializer_list<result_type> bl, + UnaryOperation fw); + + template<class UnaryOperation> + piecewise_linear_distribution(size_t nw, result_type xmin, + result_type xmax, UnaryOperation fw); + + explicit piecewise_linear_distribution(const param_type& parm); + void reset(); + + // generating functions + template<class URNG> result_type operator()(URNG& g); + template<class URNG> result_type operator()(URNG& g, const param_type& parm); + + // property functions + vector<result_type> intervals() const; + vector<result_type> densities() const; + + param_type param() const; + void param(const param_type& parm); + + result_type min() const; + result_type max() const; + + friend bool operator==(const piecewise_linear_distribution& x, + const piecewise_linear_distribution& y); + friend bool operator!=(const piecewise_linear_distribution& x, + const piecewise_linear_distribution& y); + + template <class charT, class traits> + friend + basic_ostream<charT, traits>& + operator<<(basic_ostream<charT, traits>& os, + const piecewise_linear_distribution& x); + + template <class charT, class traits> + friend + basic_istream<charT, traits>& + operator>>(basic_istream<charT, traits>& is, + piecewise_linear_distribution& x); +}; + +} // std +*/ + +#include <__config> +#include <cstddef> +#include <cstdint> +#include <cmath> +#include <type_traits> +#include <initializer_list> +#include <limits> +#include <algorithm> +#include <numeric> +#include <vector> +#include <string> +#include <istream> +#include <ostream> + +#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER) +#pragma GCC system_header +#endif + +_LIBCPP_PUSH_MACROS +#include <__undef_macros> + + +_LIBCPP_BEGIN_NAMESPACE_STD + +// __is_seed_sequence + +template <class _Sseq, class _Engine> +struct __is_seed_sequence +{ + static _LIBCPP_CONSTEXPR const bool value = + !is_convertible<_Sseq, typename _Engine::result_type>::value && + !is_same<typename remove_cv<_Sseq>::type, _Engine>::value; +}; + +// linear_congruential_engine + +template <unsigned long long __a, unsigned long long __c, + unsigned long long __m, unsigned long long _Mp, + bool _MightOverflow = (__a != 0 && __m != 0 && __m-1 > (_Mp-__c)/__a)> +struct __lce_ta; + +// 64 + +template <unsigned long long __a, unsigned long long __c, unsigned long long __m> +struct __lce_ta<__a, __c, __m, (unsigned long long)(~0), true> +{ + typedef unsigned long long result_type; + _LIBCPP_INLINE_VISIBILITY + static result_type next(result_type __x) + { + // Schrage's algorithm + const result_type __q = __m / __a; + const result_type __r = __m % __a; + const result_type __t0 = __a * (__x % __q); + const result_type __t1 = __r * (__x / __q); + __x = __t0 + (__t0 < __t1) * __m - __t1; + __x += __c - (__x >= __m - __c) * __m; + return __x; + } +}; + +template <unsigned long long __a, unsigned long long __m> +struct __lce_ta<__a, 0, __m, (unsigned long long)(~0), true> +{ + typedef unsigned long long result_type; + _LIBCPP_INLINE_VISIBILITY + static result_type next(result_type __x) + { + // Schrage's algorithm + const result_type __q = __m / __a; + const result_type __r = __m % __a; + const result_type __t0 = __a * (__x % __q); + const result_type __t1 = __r * (__x / __q); + __x = __t0 + (__t0 < __t1) * __m - __t1; + return __x; + } +}; + +template <unsigned long long __a, unsigned long long __c, unsigned long long __m> +struct __lce_ta<__a, __c, __m, (unsigned long long)(~0), false> +{ + typedef unsigned long long result_type; + _LIBCPP_INLINE_VISIBILITY + static result_type next(result_type __x) + { + return (__a * __x + __c) % __m; + } +}; + +template <unsigned long long __a, unsigned long long __c> +struct __lce_ta<__a, __c, 0, (unsigned long long)(~0), false> +{ + typedef unsigned long long result_type; + _LIBCPP_INLINE_VISIBILITY + static result_type next(result_type __x) + { + return __a * __x + __c; + } +}; + +// 32 + +template <unsigned long long _Ap, unsigned long long _Cp, unsigned long long _Mp> +struct __lce_ta<_Ap, _Cp, _Mp, unsigned(~0), true> +{ + typedef unsigned result_type; + _LIBCPP_INLINE_VISIBILITY + static result_type next(result_type __x) + { + const result_type __a = static_cast<result_type>(_Ap); + const result_type __c = static_cast<result_type>(_Cp); + const result_type __m = static_cast<result_type>(_Mp); + // Schrage's algorithm + const result_type __q = __m / __a; + const result_type __r = __m % __a; + const result_type __t0 = __a * (__x % __q); + const result_type __t1 = __r * (__x / __q); + __x = __t0 + (__t0 < __t1) * __m - __t1; + __x += __c - (__x >= __m - __c) * __m; + return __x; + } +}; + +template <unsigned long long _Ap, unsigned long long _Mp> +struct __lce_ta<_Ap, 0, _Mp, unsigned(~0), true> +{ + typedef unsigned result_type; + _LIBCPP_INLINE_VISIBILITY + static result_type next(result_type __x) + { + const result_type __a = static_cast<result_type>(_Ap); + const result_type __m = static_cast<result_type>(_Mp); + // Schrage's algorithm + const result_type __q = __m / __a; + const result_type __r = __m % __a; + const result_type __t0 = __a * (__x % __q); + const result_type __t1 = __r * (__x / __q); + __x = __t0 + (__t0 < __t1) * __m - __t1; + return __x; + } +}; + +template <unsigned long long _Ap, unsigned long long _Cp, unsigned long long _Mp> +struct __lce_ta<_Ap, _Cp, _Mp, unsigned(~0), false> +{ + typedef unsigned result_type; + _LIBCPP_INLINE_VISIBILITY + static result_type next(result_type __x) + { + const result_type __a = static_cast<result_type>(_Ap); + const result_type __c = static_cast<result_type>(_Cp); + const result_type __m = static_cast<result_type>(_Mp); + return (__a * __x + __c) % __m; + } +}; + +template <unsigned long long _Ap, unsigned long long _Cp> +struct __lce_ta<_Ap, _Cp, 0, unsigned(~0), false> +{ + typedef unsigned result_type; + _LIBCPP_INLINE_VISIBILITY + static result_type next(result_type __x) + { + const result_type __a = static_cast<result_type>(_Ap); + const result_type __c = static_cast<result_type>(_Cp); + return __a * __x + __c; + } +}; + +// 16 + +template <unsigned long long __a, unsigned long long __c, unsigned long long __m, bool __b> +struct __lce_ta<__a, __c, __m, (unsigned short)(~0), __b> +{ + typedef unsigned short result_type; + _LIBCPP_INLINE_VISIBILITY + static result_type next(result_type __x) + { + return static_cast<result_type>(__lce_ta<__a, __c, __m, unsigned(~0)>::next(__x)); + } +}; + +template <class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m> +class _LIBCPP_TEMPLATE_VIS linear_congruential_engine; + +template <class _CharT, class _Traits, + class _Up, _Up _Ap, _Up _Cp, _Up _Np> +_LIBCPP_INLINE_VISIBILITY +basic_ostream<_CharT, _Traits>& +operator<<(basic_ostream<_CharT, _Traits>& __os, + const linear_congruential_engine<_Up, _Ap, _Cp, _Np>&); + +template <class _CharT, class _Traits, + class _Up, _Up _Ap, _Up _Cp, _Up _Np> +basic_istream<_CharT, _Traits>& +operator>>(basic_istream<_CharT, _Traits>& __is, + linear_congruential_engine<_Up, _Ap, _Cp, _Np>& __x); + +template <class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m> +class _LIBCPP_TEMPLATE_VIS linear_congruential_engine +{ +public: + // types + typedef _UIntType result_type; + +private: + result_type __x_; + + static _LIBCPP_CONSTEXPR const result_type _Mp = result_type(~0); + + static_assert(__m == 0 || __a < __m, "linear_congruential_engine invalid parameters"); + static_assert(__m == 0 || __c < __m, "linear_congruential_engine invalid parameters"); +public: + static _LIBCPP_CONSTEXPR const result_type _Min = __c == 0u ? 1u: 0u; + static _LIBCPP_CONSTEXPR const result_type _Max = __m - 1u; + static_assert(_Min < _Max, "linear_congruential_engine invalid parameters"); + + // engine characteristics + static _LIBCPP_CONSTEXPR const result_type multiplier = __a; + static _LIBCPP_CONSTEXPR const result_type increment = __c; + static _LIBCPP_CONSTEXPR const result_type modulus = __m; + _LIBCPP_INLINE_VISIBILITY + static _LIBCPP_CONSTEXPR result_type min() {return _Min;} + _LIBCPP_INLINE_VISIBILITY + static _LIBCPP_CONSTEXPR result_type max() {return _Max;} + static _LIBCPP_CONSTEXPR const result_type default_seed = 1u; + + // constructors and seeding functions + _LIBCPP_INLINE_VISIBILITY + explicit linear_congruential_engine(result_type __s = default_seed) + {seed(__s);} + template<class _Sseq> + _LIBCPP_INLINE_VISIBILITY + explicit linear_congruential_engine(_Sseq& __q, + typename enable_if<__is_seed_sequence<_Sseq, linear_congruential_engine>::value>::type* = 0) + {seed(__q);} + _LIBCPP_INLINE_VISIBILITY + void seed(result_type __s = default_seed) + {seed(integral_constant<bool, __m == 0>(), + integral_constant<bool, __c == 0>(), __s);} + template<class _Sseq> + _LIBCPP_INLINE_VISIBILITY + typename enable_if + < + __is_seed_sequence<_Sseq, linear_congruential_engine>::value, + void + >::type + seed(_Sseq& __q) + {__seed(__q, integral_constant<unsigned, + 1 + (__m == 0 ? (sizeof(result_type) * __CHAR_BIT__ - 1)/32 + : (__m > 0x100000000ull))>());} + + // generating functions + _LIBCPP_INLINE_VISIBILITY + result_type operator()() + {return __x_ = static_cast<result_type>(__lce_ta<__a, __c, __m, _Mp>::next(__x_));} + _LIBCPP_INLINE_VISIBILITY + void discard(unsigned long long __z) {for (; __z; --__z) operator()();} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const linear_congruential_engine& __x, + const linear_congruential_engine& __y) + {return __x.__x_ == __y.__x_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const linear_congruential_engine& __x, + const linear_congruential_engine& __y) + {return !(__x == __y);} + +private: + + _LIBCPP_INLINE_VISIBILITY + void seed(true_type, true_type, result_type __s) {__x_ = __s == 0 ? 1 : __s;} + _LIBCPP_INLINE_VISIBILITY + void seed(true_type, false_type, result_type __s) {__x_ = __s;} + _LIBCPP_INLINE_VISIBILITY + void seed(false_type, true_type, result_type __s) {__x_ = __s % __m == 0 ? + 1 : __s % __m;} + _LIBCPP_INLINE_VISIBILITY + void seed(false_type, false_type, result_type __s) {__x_ = __s % __m;} + + template<class _Sseq> + void __seed(_Sseq& __q, integral_constant<unsigned, 1>); + template<class _Sseq> + void __seed(_Sseq& __q, integral_constant<unsigned, 2>); + + template <class _CharT, class _Traits, + class _Up, _Up _Ap, _Up _Cp, _Up _Np> + friend + basic_ostream<_CharT, _Traits>& + operator<<(basic_ostream<_CharT, _Traits>& __os, + const linear_congruential_engine<_Up, _Ap, _Cp, _Np>&); + + template <class _CharT, class _Traits, + class _Up, _Up _Ap, _Up _Cp, _Up _Np> + friend + basic_istream<_CharT, _Traits>& + operator>>(basic_istream<_CharT, _Traits>& __is, + linear_congruential_engine<_Up, _Ap, _Cp, _Np>& __x); +}; + +template <class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m> + _LIBCPP_CONSTEXPR const typename linear_congruential_engine<_UIntType, __a, __c, __m>::result_type + linear_congruential_engine<_UIntType, __a, __c, __m>::multiplier; + +template <class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m> + _LIBCPP_CONSTEXPR const typename linear_congruential_engine<_UIntType, __a, __c, __m>::result_type + linear_congruential_engine<_UIntType, __a, __c, __m>::increment; + +template <class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m> + _LIBCPP_CONSTEXPR const typename linear_congruential_engine<_UIntType, __a, __c, __m>::result_type + linear_congruential_engine<_UIntType, __a, __c, __m>::modulus; + +template <class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m> + _LIBCPP_CONSTEXPR const typename linear_congruential_engine<_UIntType, __a, __c, __m>::result_type + linear_congruential_engine<_UIntType, __a, __c, __m>::default_seed; + +template <class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m> +template<class _Sseq> +void +linear_congruential_engine<_UIntType, __a, __c, __m>::__seed(_Sseq& __q, + integral_constant<unsigned, 1>) +{ + const unsigned __k = 1; + uint32_t __ar[__k+3]; + __q.generate(__ar, __ar + __k + 3); + result_type __s = static_cast<result_type>(__ar[3] % __m); + __x_ = __c == 0 && __s == 0 ? result_type(1) : __s; +} + +template <class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m> +template<class _Sseq> +void +linear_congruential_engine<_UIntType, __a, __c, __m>::__seed(_Sseq& __q, + integral_constant<unsigned, 2>) +{ + const unsigned __k = 2; + uint32_t __ar[__k+3]; + __q.generate(__ar, __ar + __k + 3); + result_type __s = static_cast<result_type>((__ar[3] + + ((uint64_t)__ar[4] << 32)) % __m); + __x_ = __c == 0 && __s == 0 ? result_type(1) : __s; +} + +template <class _CharT, class _Traits, + class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m> +inline _LIBCPP_INLINE_VISIBILITY +basic_ostream<_CharT, _Traits>& +operator<<(basic_ostream<_CharT, _Traits>& __os, + const linear_congruential_engine<_UIntType, __a, __c, __m>& __x) +{ + __save_flags<_CharT, _Traits> __lx(__os); + __os.flags(ios_base::dec | ios_base::left); + __os.fill(__os.widen(' ')); + return __os << __x.__x_; +} + +template <class _CharT, class _Traits, + class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m> +basic_istream<_CharT, _Traits>& +operator>>(basic_istream<_CharT, _Traits>& __is, + linear_congruential_engine<_UIntType, __a, __c, __m>& __x) +{ + __save_flags<_CharT, _Traits> __lx(__is); + __is.flags(ios_base::dec | ios_base::skipws); + _UIntType __t; + __is >> __t; + if (!__is.fail()) + __x.__x_ = __t; + return __is; +} + +typedef linear_congruential_engine<uint_fast32_t, 16807, 0, 2147483647> + minstd_rand0; +typedef linear_congruential_engine<uint_fast32_t, 48271, 0, 2147483647> + minstd_rand; +typedef minstd_rand default_random_engine; +// mersenne_twister_engine + +template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, + _UIntType __a, size_t __u, _UIntType __d, size_t __s, + _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> +class _LIBCPP_TEMPLATE_VIS mersenne_twister_engine; + +template <class _UInt, size_t _Wp, size_t _Np, size_t _Mp, size_t _Rp, + _UInt _Ap, size_t _Up, _UInt _Dp, size_t _Sp, + _UInt _Bp, size_t _Tp, _UInt _Cp, size_t _Lp, _UInt _Fp> +bool +operator==(const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, + _Bp, _Tp, _Cp, _Lp, _Fp>& __x, + const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, + _Bp, _Tp, _Cp, _Lp, _Fp>& __y); + +template <class _UInt, size_t _Wp, size_t _Np, size_t _Mp, size_t _Rp, + _UInt _Ap, size_t _Up, _UInt _Dp, size_t _Sp, + _UInt _Bp, size_t _Tp, _UInt _Cp, size_t _Lp, _UInt _Fp> +_LIBCPP_INLINE_VISIBILITY +bool +operator!=(const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, + _Bp, _Tp, _Cp, _Lp, _Fp>& __x, + const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, + _Bp, _Tp, _Cp, _Lp, _Fp>& __y); + +template <class _CharT, class _Traits, + class _UInt, size_t _Wp, size_t _Np, size_t _Mp, size_t _Rp, + _UInt _Ap, size_t _Up, _UInt _Dp, size_t _Sp, + _UInt _Bp, size_t _Tp, _UInt _Cp, size_t _Lp, _UInt _Fp> +basic_ostream<_CharT, _Traits>& +operator<<(basic_ostream<_CharT, _Traits>& __os, + const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, + _Bp, _Tp, _Cp, _Lp, _Fp>& __x); + +template <class _CharT, class _Traits, + class _UInt, size_t _Wp, size_t _Np, size_t _Mp, size_t _Rp, + _UInt _Ap, size_t _Up, _UInt _Dp, size_t _Sp, + _UInt _Bp, size_t _Tp, _UInt _Cp, size_t _Lp, _UInt _Fp> +basic_istream<_CharT, _Traits>& +operator>>(basic_istream<_CharT, _Traits>& __is, + mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, + _Bp, _Tp, _Cp, _Lp, _Fp>& __x); + +template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, + _UIntType __a, size_t __u, _UIntType __d, size_t __s, + _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> +class _LIBCPP_TEMPLATE_VIS mersenne_twister_engine +{ +public: + // types + typedef _UIntType result_type; + +private: + result_type __x_[__n]; + size_t __i_; + + static_assert( 0 < __m, "mersenne_twister_engine invalid parameters"); + static_assert(__m <= __n, "mersenne_twister_engine invalid parameters"); + static _LIBCPP_CONSTEXPR const result_type _Dt = numeric_limits<result_type>::digits; + static_assert(__w <= _Dt, "mersenne_twister_engine invalid parameters"); + static_assert( 2 <= __w, "mersenne_twister_engine invalid parameters"); + static_assert(__r <= __w, "mersenne_twister_engine invalid parameters"); + static_assert(__u <= __w, "mersenne_twister_engine invalid parameters"); + static_assert(__s <= __w, "mersenne_twister_engine invalid parameters"); + static_assert(__t <= __w, "mersenne_twister_engine invalid parameters"); + static_assert(__l <= __w, "mersenne_twister_engine invalid parameters"); +public: + static _LIBCPP_CONSTEXPR const result_type _Min = 0; + static _LIBCPP_CONSTEXPR const result_type _Max = __w == _Dt ? result_type(~0) : + (result_type(1) << __w) - result_type(1); + static_assert(_Min < _Max, "mersenne_twister_engine invalid parameters"); + static_assert(__a <= _Max, "mersenne_twister_engine invalid parameters"); + static_assert(__b <= _Max, "mersenne_twister_engine invalid parameters"); + static_assert(__c <= _Max, "mersenne_twister_engine invalid parameters"); + static_assert(__d <= _Max, "mersenne_twister_engine invalid parameters"); + static_assert(__f <= _Max, "mersenne_twister_engine invalid parameters"); + + // engine characteristics + static _LIBCPP_CONSTEXPR const size_t word_size = __w; + static _LIBCPP_CONSTEXPR const size_t state_size = __n; + static _LIBCPP_CONSTEXPR const size_t shift_size = __m; + static _LIBCPP_CONSTEXPR const size_t mask_bits = __r; + static _LIBCPP_CONSTEXPR const result_type xor_mask = __a; + static _LIBCPP_CONSTEXPR const size_t tempering_u = __u; + static _LIBCPP_CONSTEXPR const result_type tempering_d = __d; + static _LIBCPP_CONSTEXPR const size_t tempering_s = __s; + static _LIBCPP_CONSTEXPR const result_type tempering_b = __b; + static _LIBCPP_CONSTEXPR const size_t tempering_t = __t; + static _LIBCPP_CONSTEXPR const result_type tempering_c = __c; + static _LIBCPP_CONSTEXPR const size_t tempering_l = __l; + static _LIBCPP_CONSTEXPR const result_type initialization_multiplier = __f; + _LIBCPP_INLINE_VISIBILITY + static _LIBCPP_CONSTEXPR result_type min() { return _Min; } + _LIBCPP_INLINE_VISIBILITY + static _LIBCPP_CONSTEXPR result_type max() { return _Max; } + static _LIBCPP_CONSTEXPR const result_type default_seed = 5489u; + + // constructors and seeding functions + _LIBCPP_INLINE_VISIBILITY + explicit mersenne_twister_engine(result_type __sd = default_seed) + {seed(__sd);} + template<class _Sseq> + _LIBCPP_INLINE_VISIBILITY + explicit mersenne_twister_engine(_Sseq& __q, + typename enable_if<__is_seed_sequence<_Sseq, mersenne_twister_engine>::value>::type* = 0) + {seed(__q);} + void seed(result_type __sd = default_seed); + template<class _Sseq> + _LIBCPP_INLINE_VISIBILITY + typename enable_if + < + __is_seed_sequence<_Sseq, mersenne_twister_engine>::value, + void + >::type + seed(_Sseq& __q) + {__seed(__q, integral_constant<unsigned, 1 + (__w - 1) / 32>());} + + // generating functions + result_type operator()(); + _LIBCPP_INLINE_VISIBILITY + void discard(unsigned long long __z) {for (; __z; --__z) operator()();} + + template <class _UInt, size_t _Wp, size_t _Np, size_t _Mp, size_t _Rp, + _UInt _Ap, size_t _Up, _UInt _Dp, size_t _Sp, + _UInt _Bp, size_t _Tp, _UInt _Cp, size_t _Lp, _UInt _Fp> + friend + bool + operator==(const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, + _Bp, _Tp, _Cp, _Lp, _Fp>& __x, + const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, + _Bp, _Tp, _Cp, _Lp, _Fp>& __y); + + template <class _UInt, size_t _Wp, size_t _Np, size_t _Mp, size_t _Rp, + _UInt _Ap, size_t _Up, _UInt _Dp, size_t _Sp, + _UInt _Bp, size_t _Tp, _UInt _Cp, size_t _Lp, _UInt _Fp> + friend + bool + operator!=(const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, + _Bp, _Tp, _Cp, _Lp, _Fp>& __x, + const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, + _Bp, _Tp, _Cp, _Lp, _Fp>& __y); + + template <class _CharT, class _Traits, + class _UInt, size_t _Wp, size_t _Np, size_t _Mp, size_t _Rp, + _UInt _Ap, size_t _Up, _UInt _Dp, size_t _Sp, + _UInt _Bp, size_t _Tp, _UInt _Cp, size_t _Lp, _UInt _Fp> + friend + basic_ostream<_CharT, _Traits>& + operator<<(basic_ostream<_CharT, _Traits>& __os, + const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, + _Bp, _Tp, _Cp, _Lp, _Fp>& __x); + + template <class _CharT, class _Traits, + class _UInt, size_t _Wp, size_t _Np, size_t _Mp, size_t _Rp, + _UInt _Ap, size_t _Up, _UInt _Dp, size_t _Sp, + _UInt _Bp, size_t _Tp, _UInt _Cp, size_t _Lp, _UInt _Fp> + friend + basic_istream<_CharT, _Traits>& + operator>>(basic_istream<_CharT, _Traits>& __is, + mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, + _Bp, _Tp, _Cp, _Lp, _Fp>& __x); +private: + + template<class _Sseq> + void __seed(_Sseq& __q, integral_constant<unsigned, 1>); + template<class _Sseq> + void __seed(_Sseq& __q, integral_constant<unsigned, 2>); + + template <size_t __count> + _LIBCPP_INLINE_VISIBILITY + static + typename enable_if + < + __count < __w, + result_type + >::type + __lshift(result_type __x) {return (__x << __count) & _Max;} + + template <size_t __count> + _LIBCPP_INLINE_VISIBILITY + static + typename enable_if + < + (__count >= __w), + result_type + >::type + __lshift(result_type) {return result_type(0);} + + template <size_t __count> + _LIBCPP_INLINE_VISIBILITY + static + typename enable_if + < + __count < _Dt, + result_type + >::type + __rshift(result_type __x) {return __x >> __count;} + + template <size_t __count> + _LIBCPP_INLINE_VISIBILITY + static + typename enable_if + < + (__count >= _Dt), + result_type + >::type + __rshift(result_type) {return result_type(0);} +}; + +template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, + _UIntType __a, size_t __u, _UIntType __d, size_t __s, + _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> + _LIBCPP_CONSTEXPR const size_t + mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::word_size; + +template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, + _UIntType __a, size_t __u, _UIntType __d, size_t __s, + _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> + _LIBCPP_CONSTEXPR const size_t + mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::state_size; + +template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, + _UIntType __a, size_t __u, _UIntType __d, size_t __s, + _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> + _LIBCPP_CONSTEXPR const size_t + mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::shift_size; + +template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, + _UIntType __a, size_t __u, _UIntType __d, size_t __s, + _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> + _LIBCPP_CONSTEXPR const size_t + mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::mask_bits; + +template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, + _UIntType __a, size_t __u, _UIntType __d, size_t __s, + _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> + _LIBCPP_CONSTEXPR const typename mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::result_type + mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::xor_mask; + +template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, + _UIntType __a, size_t __u, _UIntType __d, size_t __s, + _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> + _LIBCPP_CONSTEXPR const size_t + mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::tempering_u; + +template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, + _UIntType __a, size_t __u, _UIntType __d, size_t __s, + _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> + _LIBCPP_CONSTEXPR const typename mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::result_type + mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::tempering_d; + +template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, + _UIntType __a, size_t __u, _UIntType __d, size_t __s, + _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> + _LIBCPP_CONSTEXPR const size_t + mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::tempering_s; + +template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, + _UIntType __a, size_t __u, _UIntType __d, size_t __s, + _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> + _LIBCPP_CONSTEXPR const typename mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::result_type + mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::tempering_b; + +template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, + _UIntType __a, size_t __u, _UIntType __d, size_t __s, + _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> + _LIBCPP_CONSTEXPR const size_t + mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::tempering_t; + +template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, + _UIntType __a, size_t __u, _UIntType __d, size_t __s, + _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> + _LIBCPP_CONSTEXPR const typename mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::result_type + mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::tempering_c; + +template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, + _UIntType __a, size_t __u, _UIntType __d, size_t __s, + _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> + _LIBCPP_CONSTEXPR const size_t + mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::tempering_l; + +template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, + _UIntType __a, size_t __u, _UIntType __d, size_t __s, + _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> + _LIBCPP_CONSTEXPR const typename mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::result_type + mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::initialization_multiplier; + +template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, + _UIntType __a, size_t __u, _UIntType __d, size_t __s, + _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> + _LIBCPP_CONSTEXPR const typename mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::result_type + mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::default_seed; + +template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, + _UIntType __a, size_t __u, _UIntType __d, size_t __s, + _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> +void +mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, + __t, __c, __l, __f>::seed(result_type __sd) + _LIBCPP_DISABLE_UBSAN_UNSIGNED_INTEGER_CHECK +{ // __w >= 2 + __x_[0] = __sd & _Max; + for (size_t __i = 1; __i < __n; ++__i) + __x_[__i] = (__f * (__x_[__i-1] ^ __rshift<__w - 2>(__x_[__i-1])) + __i) & _Max; + __i_ = 0; +} + +template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, + _UIntType __a, size_t __u, _UIntType __d, size_t __s, + _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> +template<class _Sseq> +void +mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, + __t, __c, __l, __f>::__seed(_Sseq& __q, integral_constant<unsigned, 1>) +{ + const unsigned __k = 1; + uint32_t __ar[__n * __k]; + __q.generate(__ar, __ar + __n * __k); + for (size_t __i = 0; __i < __n; ++__i) + __x_[__i] = static_cast<result_type>(__ar[__i] & _Max); + const result_type __mask = __r == _Dt ? result_type(~0) : + (result_type(1) << __r) - result_type(1); + __i_ = 0; + if ((__x_[0] & ~__mask) == 0) + { + for (size_t __i = 1; __i < __n; ++__i) + if (__x_[__i] != 0) + return; + __x_[0] = _Max; + } +} + +template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, + _UIntType __a, size_t __u, _UIntType __d, size_t __s, + _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> +template<class _Sseq> +void +mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, + __t, __c, __l, __f>::__seed(_Sseq& __q, integral_constant<unsigned, 2>) +{ + const unsigned __k = 2; + uint32_t __ar[__n * __k]; + __q.generate(__ar, __ar + __n * __k); + for (size_t __i = 0; __i < __n; ++__i) + __x_[__i] = static_cast<result_type>( + (__ar[2 * __i] + ((uint64_t)__ar[2 * __i + 1] << 32)) & _Max); + const result_type __mask = __r == _Dt ? result_type(~0) : + (result_type(1) << __r) - result_type(1); + __i_ = 0; + if ((__x_[0] & ~__mask) == 0) + { + for (size_t __i = 1; __i < __n; ++__i) + if (__x_[__i] != 0) + return; + __x_[0] = _Max; + } +} + +template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, + _UIntType __a, size_t __u, _UIntType __d, size_t __s, + _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> +_UIntType +mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, + __t, __c, __l, __f>::operator()() +{ + const size_t __j = (__i_ + 1) % __n; + const result_type __mask = __r == _Dt ? result_type(~0) : + (result_type(1) << __r) - result_type(1); + const result_type _Yp = (__x_[__i_] & ~__mask) | (__x_[__j] & __mask); + const size_t __k = (__i_ + __m) % __n; + __x_[__i_] = __x_[__k] ^ __rshift<1>(_Yp) ^ (__a * (_Yp & 1)); + result_type __z = __x_[__i_] ^ (__rshift<__u>(__x_[__i_]) & __d); + __i_ = __j; + __z ^= __lshift<__s>(__z) & __b; + __z ^= __lshift<__t>(__z) & __c; + return __z ^ __rshift<__l>(__z); +} + +template <class _UInt, size_t _Wp, size_t _Np, size_t _Mp, size_t _Rp, + _UInt _Ap, size_t _Up, _UInt _Dp, size_t _Sp, + _UInt _Bp, size_t _Tp, _UInt _Cp, size_t _Lp, _UInt _Fp> +bool +operator==(const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, + _Bp, _Tp, _Cp, _Lp, _Fp>& __x, + const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, + _Bp, _Tp, _Cp, _Lp, _Fp>& __y) +{ + if (__x.__i_ == __y.__i_) + return _VSTD::equal(__x.__x_, __x.__x_ + _Np, __y.__x_); + if (__x.__i_ == 0 || __y.__i_ == 0) + { + size_t __j = _VSTD::min(_Np - __x.__i_, _Np - __y.__i_); + if (!_VSTD::equal(__x.__x_ + __x.__i_, __x.__x_ + __x.__i_ + __j, + __y.__x_ + __y.__i_)) + return false; + if (__x.__i_ == 0) + return _VSTD::equal(__x.__x_ + __j, __x.__x_ + _Np, __y.__x_); + return _VSTD::equal(__x.__x_, __x.__x_ + (_Np - __j), __y.__x_ + __j); + } + if (__x.__i_ < __y.__i_) + { + size_t __j = _Np - __y.__i_; + if (!_VSTD::equal(__x.__x_ + __x.__i_, __x.__x_ + (__x.__i_ + __j), + __y.__x_ + __y.__i_)) + return false; + if (!_VSTD::equal(__x.__x_ + (__x.__i_ + __j), __x.__x_ + _Np, + __y.__x_)) + return false; + return _VSTD::equal(__x.__x_, __x.__x_ + __x.__i_, + __y.__x_ + (_Np - (__x.__i_ + __j))); + } + size_t __j = _Np - __x.__i_; + if (!_VSTD::equal(__y.__x_ + __y.__i_, __y.__x_ + (__y.__i_ + __j), + __x.__x_ + __x.__i_)) + return false; + if (!_VSTD::equal(__y.__x_ + (__y.__i_ + __j), __y.__x_ + _Np, + __x.__x_)) + return false; + return _VSTD::equal(__y.__x_, __y.__x_ + __y.__i_, + __x.__x_ + (_Np - (__y.__i_ + __j))); +} + +template <class _UInt, size_t _Wp, size_t _Np, size_t _Mp, size_t _Rp, + _UInt _Ap, size_t _Up, _UInt _Dp, size_t _Sp, + _UInt _Bp, size_t _Tp, _UInt _Cp, size_t _Lp, _UInt _Fp> +inline _LIBCPP_INLINE_VISIBILITY +bool +operator!=(const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, + _Bp, _Tp, _Cp, _Lp, _Fp>& __x, + const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, + _Bp, _Tp, _Cp, _Lp, _Fp>& __y) +{ + return !(__x == __y); +} + +template <class _CharT, class _Traits, + class _UInt, size_t _Wp, size_t _Np, size_t _Mp, size_t _Rp, + _UInt _Ap, size_t _Up, _UInt _Dp, size_t _Sp, + _UInt _Bp, size_t _Tp, _UInt _Cp, size_t _Lp, _UInt _Fp> +basic_ostream<_CharT, _Traits>& +operator<<(basic_ostream<_CharT, _Traits>& __os, + const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, + _Bp, _Tp, _Cp, _Lp, _Fp>& __x) +{ + __save_flags<_CharT, _Traits> __lx(__os); + __os.flags(ios_base::dec | ios_base::left); + _CharT __sp = __os.widen(' '); + __os.fill(__sp); + __os << __x.__x_[__x.__i_]; + for (size_t __j = __x.__i_ + 1; __j < _Np; ++__j) + __os << __sp << __x.__x_[__j]; + for (size_t __j = 0; __j < __x.__i_; ++__j) + __os << __sp << __x.__x_[__j]; + return __os; +} + +template <class _CharT, class _Traits, + class _UInt, size_t _Wp, size_t _Np, size_t _Mp, size_t _Rp, + _UInt _Ap, size_t _Up, _UInt _Dp, size_t _Sp, + _UInt _Bp, size_t _Tp, _UInt _Cp, size_t _Lp, _UInt _Fp> +basic_istream<_CharT, _Traits>& +operator>>(basic_istream<_CharT, _Traits>& __is, + mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, + _Bp, _Tp, _Cp, _Lp, _Fp>& __x) +{ + __save_flags<_CharT, _Traits> __lx(__is); + __is.flags(ios_base::dec | ios_base::skipws); + _UInt __t[_Np]; + for (size_t __i = 0; __i < _Np; ++__i) + __is >> __t[__i]; + if (!__is.fail()) + { + for (size_t __i = 0; __i < _Np; ++__i) + __x.__x_[__i] = __t[__i]; + __x.__i_ = 0; + } + return __is; +} + +typedef mersenne_twister_engine<uint_fast32_t, 32, 624, 397, 31, + 0x9908b0df, 11, 0xffffffff, + 7, 0x9d2c5680, + 15, 0xefc60000, + 18, 1812433253> mt19937; +typedef mersenne_twister_engine<uint_fast64_t, 64, 312, 156, 31, + 0xb5026f5aa96619e9ULL, 29, 0x5555555555555555ULL, + 17, 0x71d67fffeda60000ULL, + 37, 0xfff7eee000000000ULL, + 43, 6364136223846793005ULL> mt19937_64; + +// subtract_with_carry_engine + +template<class _UIntType, size_t __w, size_t __s, size_t __r> +class _LIBCPP_TEMPLATE_VIS subtract_with_carry_engine; + +template<class _UInt, size_t _Wp, size_t _Sp, size_t _Rp> +bool +operator==( + const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x, + const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __y); + +template<class _UInt, size_t _Wp, size_t _Sp, size_t _Rp> +_LIBCPP_INLINE_VISIBILITY +bool +operator!=( + const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x, + const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __y); + +template <class _CharT, class _Traits, + class _UInt, size_t _Wp, size_t _Sp, size_t _Rp> +basic_ostream<_CharT, _Traits>& +operator<<(basic_ostream<_CharT, _Traits>& __os, + const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x); + +template <class _CharT, class _Traits, + class _UInt, size_t _Wp, size_t _Sp, size_t _Rp> +basic_istream<_CharT, _Traits>& +operator>>(basic_istream<_CharT, _Traits>& __is, + subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x); + +template<class _UIntType, size_t __w, size_t __s, size_t __r> +class _LIBCPP_TEMPLATE_VIS subtract_with_carry_engine +{ +public: + // types + typedef _UIntType result_type; + +private: + result_type __x_[__r]; + result_type __c_; + size_t __i_; + + static _LIBCPP_CONSTEXPR const result_type _Dt = numeric_limits<result_type>::digits; + static_assert( 0 < __w, "subtract_with_carry_engine invalid parameters"); + static_assert(__w <= _Dt, "subtract_with_carry_engine invalid parameters"); + static_assert( 0 < __s, "subtract_with_carry_engine invalid parameters"); + static_assert(__s < __r, "subtract_with_carry_engine invalid parameters"); +public: + static _LIBCPP_CONSTEXPR const result_type _Min = 0; + static _LIBCPP_CONSTEXPR const result_type _Max = __w == _Dt ? result_type(~0) : + (result_type(1) << __w) - result_type(1); + static_assert(_Min < _Max, "subtract_with_carry_engine invalid parameters"); + + // engine characteristics + static _LIBCPP_CONSTEXPR const size_t word_size = __w; + static _LIBCPP_CONSTEXPR const size_t short_lag = __s; + static _LIBCPP_CONSTEXPR const size_t long_lag = __r; + _LIBCPP_INLINE_VISIBILITY + static _LIBCPP_CONSTEXPR result_type min() { return _Min; } + _LIBCPP_INLINE_VISIBILITY + static _LIBCPP_CONSTEXPR result_type max() { return _Max; } + static _LIBCPP_CONSTEXPR const result_type default_seed = 19780503u; + + // constructors and seeding functions + _LIBCPP_INLINE_VISIBILITY + explicit subtract_with_carry_engine(result_type __sd = default_seed) + {seed(__sd);} + template<class _Sseq> + _LIBCPP_INLINE_VISIBILITY + explicit subtract_with_carry_engine(_Sseq& __q, + typename enable_if<__is_seed_sequence<_Sseq, subtract_with_carry_engine>::value>::type* = 0) + {seed(__q);} + _LIBCPP_INLINE_VISIBILITY + void seed(result_type __sd = default_seed) + {seed(__sd, integral_constant<unsigned, 1 + (__w - 1) / 32>());} + template<class _Sseq> + _LIBCPP_INLINE_VISIBILITY + typename enable_if + < + __is_seed_sequence<_Sseq, subtract_with_carry_engine>::value, + void + >::type + seed(_Sseq& __q) + {__seed(__q, integral_constant<unsigned, 1 + (__w - 1) / 32>());} + + // generating functions + result_type operator()(); + _LIBCPP_INLINE_VISIBILITY + void discard(unsigned long long __z) {for (; __z; --__z) operator()();} + + template<class _UInt, size_t _Wp, size_t _Sp, size_t _Rp> + friend + bool + operator==( + const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x, + const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __y); + + template<class _UInt, size_t _Wp, size_t _Sp, size_t _Rp> + friend + bool + operator!=( + const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x, + const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __y); + + template <class _CharT, class _Traits, + class _UInt, size_t _Wp, size_t _Sp, size_t _Rp> + friend + basic_ostream<_CharT, _Traits>& + operator<<(basic_ostream<_CharT, _Traits>& __os, + const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x); + + template <class _CharT, class _Traits, + class _UInt, size_t _Wp, size_t _Sp, size_t _Rp> + friend + basic_istream<_CharT, _Traits>& + operator>>(basic_istream<_CharT, _Traits>& __is, + subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x); + +private: + + void seed(result_type __sd, integral_constant<unsigned, 1>); + void seed(result_type __sd, integral_constant<unsigned, 2>); + template<class _Sseq> + void __seed(_Sseq& __q, integral_constant<unsigned, 1>); + template<class _Sseq> + void __seed(_Sseq& __q, integral_constant<unsigned, 2>); +}; + +template<class _UIntType, size_t __w, size_t __s, size_t __r> + _LIBCPP_CONSTEXPR const size_t subtract_with_carry_engine<_UIntType, __w, __s, __r>::word_size; + +template<class _UIntType, size_t __w, size_t __s, size_t __r> + _LIBCPP_CONSTEXPR const size_t subtract_with_carry_engine<_UIntType, __w, __s, __r>::short_lag; + +template<class _UIntType, size_t __w, size_t __s, size_t __r> + _LIBCPP_CONSTEXPR const size_t subtract_with_carry_engine<_UIntType, __w, __s, __r>::long_lag; + +template<class _UIntType, size_t __w, size_t __s, size_t __r> + _LIBCPP_CONSTEXPR const typename subtract_with_carry_engine<_UIntType, __w, __s, __r>::result_type + subtract_with_carry_engine<_UIntType, __w, __s, __r>::default_seed; + +template<class _UIntType, size_t __w, size_t __s, size_t __r> +void +subtract_with_carry_engine<_UIntType, __w, __s, __r>::seed(result_type __sd, + integral_constant<unsigned, 1>) +{ + linear_congruential_engine<result_type, 40014u, 0u, 2147483563u> + __e(__sd == 0u ? default_seed : __sd); + for (size_t __i = 0; __i < __r; ++__i) + __x_[__i] = static_cast<result_type>(__e() & _Max); + __c_ = __x_[__r-1] == 0; + __i_ = 0; +} + +template<class _UIntType, size_t __w, size_t __s, size_t __r> +void +subtract_with_carry_engine<_UIntType, __w, __s, __r>::seed(result_type __sd, + integral_constant<unsigned, 2>) +{ + linear_congruential_engine<result_type, 40014u, 0u, 2147483563u> + __e(__sd == 0u ? default_seed : __sd); + for (size_t __i = 0; __i < __r; ++__i) + { + result_type __e0 = __e(); + __x_[__i] = static_cast<result_type>( + (__e0 + ((uint64_t)__e() << 32)) & _Max); + } + __c_ = __x_[__r-1] == 0; + __i_ = 0; +} + +template<class _UIntType, size_t __w, size_t __s, size_t __r> +template<class _Sseq> +void +subtract_with_carry_engine<_UIntType, __w, __s, __r>::__seed(_Sseq& __q, + integral_constant<unsigned, 1>) +{ + const unsigned __k = 1; + uint32_t __ar[__r * __k]; + __q.generate(__ar, __ar + __r * __k); + for (size_t __i = 0; __i < __r; ++__i) + __x_[__i] = static_cast<result_type>(__ar[__i] & _Max); + __c_ = __x_[__r-1] == 0; + __i_ = 0; +} + +template<class _UIntType, size_t __w, size_t __s, size_t __r> +template<class _Sseq> +void +subtract_with_carry_engine<_UIntType, __w, __s, __r>::__seed(_Sseq& __q, + integral_constant<unsigned, 2>) +{ + const unsigned __k = 2; + uint32_t __ar[__r * __k]; + __q.generate(__ar, __ar + __r * __k); + for (size_t __i = 0; __i < __r; ++__i) + __x_[__i] = static_cast<result_type>( + (__ar[2 * __i] + ((uint64_t)__ar[2 * __i + 1] << 32)) & _Max); + __c_ = __x_[__r-1] == 0; + __i_ = 0; +} + +template<class _UIntType, size_t __w, size_t __s, size_t __r> +_UIntType +subtract_with_carry_engine<_UIntType, __w, __s, __r>::operator()() +{ + const result_type& __xs = __x_[(__i_ + (__r - __s)) % __r]; + result_type& __xr = __x_[__i_]; + result_type __new_c = __c_ == 0 ? __xs < __xr : __xs != 0 ? __xs <= __xr : 1; + __xr = (__xs - __xr - __c_) & _Max; + __c_ = __new_c; + __i_ = (__i_ + 1) % __r; + return __xr; +} + +template<class _UInt, size_t _Wp, size_t _Sp, size_t _Rp> +bool +operator==( + const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x, + const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __y) +{ + if (__x.__c_ != __y.__c_) + return false; + if (__x.__i_ == __y.__i_) + return _VSTD::equal(__x.__x_, __x.__x_ + _Rp, __y.__x_); + if (__x.__i_ == 0 || __y.__i_ == 0) + { + size_t __j = _VSTD::min(_Rp - __x.__i_, _Rp - __y.__i_); + if (!_VSTD::equal(__x.__x_ + __x.__i_, __x.__x_ + __x.__i_ + __j, + __y.__x_ + __y.__i_)) + return false; + if (__x.__i_ == 0) + return _VSTD::equal(__x.__x_ + __j, __x.__x_ + _Rp, __y.__x_); + return _VSTD::equal(__x.__x_, __x.__x_ + (_Rp - __j), __y.__x_ + __j); + } + if (__x.__i_ < __y.__i_) + { + size_t __j = _Rp - __y.__i_; + if (!_VSTD::equal(__x.__x_ + __x.__i_, __x.__x_ + (__x.__i_ + __j), + __y.__x_ + __y.__i_)) + return false; + if (!_VSTD::equal(__x.__x_ + (__x.__i_ + __j), __x.__x_ + _Rp, + __y.__x_)) + return false; + return _VSTD::equal(__x.__x_, __x.__x_ + __x.__i_, + __y.__x_ + (_Rp - (__x.__i_ + __j))); + } + size_t __j = _Rp - __x.__i_; + if (!_VSTD::equal(__y.__x_ + __y.__i_, __y.__x_ + (__y.__i_ + __j), + __x.__x_ + __x.__i_)) + return false; + if (!_VSTD::equal(__y.__x_ + (__y.__i_ + __j), __y.__x_ + _Rp, + __x.__x_)) + return false; + return _VSTD::equal(__y.__x_, __y.__x_ + __y.__i_, + __x.__x_ + (_Rp - (__y.__i_ + __j))); +} + +template<class _UInt, size_t _Wp, size_t _Sp, size_t _Rp> +inline _LIBCPP_INLINE_VISIBILITY +bool +operator!=( + const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x, + const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __y) +{ + return !(__x == __y); +} + +template <class _CharT, class _Traits, + class _UInt, size_t _Wp, size_t _Sp, size_t _Rp> +basic_ostream<_CharT, _Traits>& +operator<<(basic_ostream<_CharT, _Traits>& __os, + const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x) +{ + __save_flags<_CharT, _Traits> __lx(__os); + __os.flags(ios_base::dec | ios_base::left); + _CharT __sp = __os.widen(' '); + __os.fill(__sp); + __os << __x.__x_[__x.__i_]; + for (size_t __j = __x.__i_ + 1; __j < _Rp; ++__j) + __os << __sp << __x.__x_[__j]; + for (size_t __j = 0; __j < __x.__i_; ++__j) + __os << __sp << __x.__x_[__j]; + __os << __sp << __x.__c_; + return __os; +} + +template <class _CharT, class _Traits, + class _UInt, size_t _Wp, size_t _Sp, size_t _Rp> +basic_istream<_CharT, _Traits>& +operator>>(basic_istream<_CharT, _Traits>& __is, + subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x) +{ + __save_flags<_CharT, _Traits> __lx(__is); + __is.flags(ios_base::dec | ios_base::skipws); + _UInt __t[_Rp+1]; + for (size_t __i = 0; __i < _Rp+1; ++__i) + __is >> __t[__i]; + if (!__is.fail()) + { + for (size_t __i = 0; __i < _Rp; ++__i) + __x.__x_[__i] = __t[__i]; + __x.__c_ = __t[_Rp]; + __x.__i_ = 0; + } + return __is; +} + +typedef subtract_with_carry_engine<uint_fast32_t, 24, 10, 24> ranlux24_base; +typedef subtract_with_carry_engine<uint_fast64_t, 48, 5, 12> ranlux48_base; + +// discard_block_engine + +template<class _Engine, size_t __p, size_t __r> +class _LIBCPP_TEMPLATE_VIS discard_block_engine +{ + _Engine __e_; + int __n_; + + static_assert( 0 < __r, "discard_block_engine invalid parameters"); + static_assert(__r <= __p, "discard_block_engine invalid parameters"); + static_assert(__r <= INT_MAX, "discard_block_engine invalid parameters"); +public: + // types + typedef typename _Engine::result_type result_type; + + // engine characteristics + static _LIBCPP_CONSTEXPR const size_t block_size = __p; + static _LIBCPP_CONSTEXPR const size_t used_block = __r; + +#ifdef _LIBCPP_CXX03_LANG + static const result_type _Min = _Engine::_Min; + static const result_type _Max = _Engine::_Max; +#else + static _LIBCPP_CONSTEXPR const result_type _Min = _Engine::min(); + static _LIBCPP_CONSTEXPR const result_type _Max = _Engine::max(); +#endif + + _LIBCPP_INLINE_VISIBILITY + static _LIBCPP_CONSTEXPR result_type min() { return _Engine::min(); } + _LIBCPP_INLINE_VISIBILITY + static _LIBCPP_CONSTEXPR result_type max() { return _Engine::max(); } + + // constructors and seeding functions + _LIBCPP_INLINE_VISIBILITY + discard_block_engine() : __n_(0) {} + _LIBCPP_INLINE_VISIBILITY + explicit discard_block_engine(const _Engine& __e) + : __e_(__e), __n_(0) {} +#ifndef _LIBCPP_CXX03_LANG + _LIBCPP_INLINE_VISIBILITY + explicit discard_block_engine(_Engine&& __e) + : __e_(_VSTD::move(__e)), __n_(0) {} +#endif // _LIBCPP_CXX03_LANG + _LIBCPP_INLINE_VISIBILITY + explicit discard_block_engine(result_type __sd) : __e_(__sd), __n_(0) {} + template<class _Sseq> + _LIBCPP_INLINE_VISIBILITY + explicit discard_block_engine(_Sseq& __q, + typename enable_if<__is_seed_sequence<_Sseq, discard_block_engine>::value && + !is_convertible<_Sseq, _Engine>::value>::type* = 0) + : __e_(__q), __n_(0) {} + _LIBCPP_INLINE_VISIBILITY + void seed() {__e_.seed(); __n_ = 0;} + _LIBCPP_INLINE_VISIBILITY + void seed(result_type __sd) {__e_.seed(__sd); __n_ = 0;} + template<class _Sseq> + _LIBCPP_INLINE_VISIBILITY + typename enable_if + < + __is_seed_sequence<_Sseq, discard_block_engine>::value, + void + >::type + seed(_Sseq& __q) {__e_.seed(__q); __n_ = 0;} + + // generating functions + result_type operator()(); + _LIBCPP_INLINE_VISIBILITY + void discard(unsigned long long __z) {for (; __z; --__z) operator()();} + + // property functions + _LIBCPP_INLINE_VISIBILITY + const _Engine& base() const _NOEXCEPT {return __e_;} + + template<class _Eng, size_t _Pp, size_t _Rp> + friend + bool + operator==( + const discard_block_engine<_Eng, _Pp, _Rp>& __x, + const discard_block_engine<_Eng, _Pp, _Rp>& __y); + + template<class _Eng, size_t _Pp, size_t _Rp> + friend + bool + operator!=( + const discard_block_engine<_Eng, _Pp, _Rp>& __x, + const discard_block_engine<_Eng, _Pp, _Rp>& __y); + + template <class _CharT, class _Traits, + class _Eng, size_t _Pp, size_t _Rp> + friend + basic_ostream<_CharT, _Traits>& + operator<<(basic_ostream<_CharT, _Traits>& __os, + const discard_block_engine<_Eng, _Pp, _Rp>& __x); + + template <class _CharT, class _Traits, + class _Eng, size_t _Pp, size_t _Rp> + friend + basic_istream<_CharT, _Traits>& + operator>>(basic_istream<_CharT, _Traits>& __is, + discard_block_engine<_Eng, _Pp, _Rp>& __x); +}; + +template<class _Engine, size_t __p, size_t __r> + _LIBCPP_CONSTEXPR const size_t discard_block_engine<_Engine, __p, __r>::block_size; + +template<class _Engine, size_t __p, size_t __r> + _LIBCPP_CONSTEXPR const size_t discard_block_engine<_Engine, __p, __r>::used_block; + +template<class _Engine, size_t __p, size_t __r> +typename discard_block_engine<_Engine, __p, __r>::result_type +discard_block_engine<_Engine, __p, __r>::operator()() +{ + if (__n_ >= static_cast<int>(__r)) + { + __e_.discard(__p - __r); + __n_ = 0; + } + ++__n_; + return __e_(); +} + +template<class _Eng, size_t _Pp, size_t _Rp> +inline _LIBCPP_INLINE_VISIBILITY +bool +operator==(const discard_block_engine<_Eng, _Pp, _Rp>& __x, + const discard_block_engine<_Eng, _Pp, _Rp>& __y) +{ + return __x.__n_ == __y.__n_ && __x.__e_ == __y.__e_; +} + +template<class _Eng, size_t _Pp, size_t _Rp> +inline _LIBCPP_INLINE_VISIBILITY +bool +operator!=(const discard_block_engine<_Eng, _Pp, _Rp>& __x, + const discard_block_engine<_Eng, _Pp, _Rp>& __y) +{ + return !(__x == __y); +} + +template <class _CharT, class _Traits, + class _Eng, size_t _Pp, size_t _Rp> +basic_ostream<_CharT, _Traits>& +operator<<(basic_ostream<_CharT, _Traits>& __os, + const discard_block_engine<_Eng, _Pp, _Rp>& __x) +{ + __save_flags<_CharT, _Traits> __lx(__os); + __os.flags(ios_base::dec | ios_base::left); + _CharT __sp = __os.widen(' '); + __os.fill(__sp); + return __os << __x.__e_ << __sp << __x.__n_; +} + +template <class _CharT, class _Traits, + class _Eng, size_t _Pp, size_t _Rp> +basic_istream<_CharT, _Traits>& +operator>>(basic_istream<_CharT, _Traits>& __is, + discard_block_engine<_Eng, _Pp, _Rp>& __x) +{ + __save_flags<_CharT, _Traits> __lx(__is); + __is.flags(ios_base::dec | ios_base::skipws); + _Eng __e; + int __n; + __is >> __e >> __n; + if (!__is.fail()) + { + __x.__e_ = __e; + __x.__n_ = __n; + } + return __is; +} + +typedef discard_block_engine<ranlux24_base, 223, 23> ranlux24; +typedef discard_block_engine<ranlux48_base, 389, 11> ranlux48; + +// independent_bits_engine + +template<class _Engine, size_t __w, class _UIntType> +class _LIBCPP_TEMPLATE_VIS independent_bits_engine +{ + template <class _UInt, _UInt _R0, size_t _Wp, size_t _Mp> + class __get_n + { + static _LIBCPP_CONSTEXPR const size_t _Dt = numeric_limits<_UInt>::digits; + static _LIBCPP_CONSTEXPR const size_t _Np = _Wp / _Mp + (_Wp % _Mp != 0); + static _LIBCPP_CONSTEXPR const size_t _W0 = _Wp / _Np; + static _LIBCPP_CONSTEXPR const _UInt _Y0 = _W0 >= _Dt ? 0 : (_R0 >> _W0) << _W0; + public: + static _LIBCPP_CONSTEXPR const size_t value = _R0 - _Y0 > _Y0 / _Np ? _Np + 1 : _Np; + }; +public: + // types + typedef _UIntType result_type; + +private: + _Engine __e_; + + static _LIBCPP_CONSTEXPR const result_type _Dt = numeric_limits<result_type>::digits; + static_assert( 0 < __w, "independent_bits_engine invalid parameters"); + static_assert(__w <= _Dt, "independent_bits_engine invalid parameters"); + + typedef typename _Engine::result_type _Engine_result_type; + typedef typename conditional + < + sizeof(_Engine_result_type) <= sizeof(result_type), + result_type, + _Engine_result_type + >::type _Working_result_type; +#ifdef _LIBCPP_CXX03_LANG + static const _Working_result_type _Rp = _Engine::_Max - _Engine::_Min + + _Working_result_type(1); +#else + static _LIBCPP_CONSTEXPR const _Working_result_type _Rp = _Engine::max() - _Engine::min() + + _Working_result_type(1); +#endif + static _LIBCPP_CONSTEXPR const size_t __m = __log2<_Working_result_type, _Rp>::value; + static _LIBCPP_CONSTEXPR const size_t __n = __get_n<_Working_result_type, _Rp, __w, __m>::value; + static _LIBCPP_CONSTEXPR const size_t __w0 = __w / __n; + static _LIBCPP_CONSTEXPR const size_t __n0 = __n - __w % __n; + static _LIBCPP_CONSTEXPR const size_t _WDt = numeric_limits<_Working_result_type>::digits; + static _LIBCPP_CONSTEXPR const size_t _EDt = numeric_limits<_Engine_result_type>::digits; + static _LIBCPP_CONSTEXPR const _Working_result_type __y0 = __w0 >= _WDt ? 0 : + (_Rp >> __w0) << __w0; + static _LIBCPP_CONSTEXPR const _Working_result_type __y1 = __w0 >= _WDt - 1 ? 0 : + (_Rp >> (__w0+1)) << (__w0+1); + static _LIBCPP_CONSTEXPR const _Engine_result_type __mask0 = __w0 > 0 ? + _Engine_result_type(~0) >> (_EDt - __w0) : + _Engine_result_type(0); + static _LIBCPP_CONSTEXPR const _Engine_result_type __mask1 = __w0 < _EDt - 1 ? + _Engine_result_type(~0) >> (_EDt - (__w0 + 1)) : + _Engine_result_type(~0); +public: + static _LIBCPP_CONSTEXPR const result_type _Min = 0; + static _LIBCPP_CONSTEXPR const result_type _Max = __w == _Dt ? result_type(~0) : + (result_type(1) << __w) - result_type(1); + static_assert(_Min < _Max, "independent_bits_engine invalid parameters"); + + // engine characteristics + _LIBCPP_INLINE_VISIBILITY + static _LIBCPP_CONSTEXPR result_type min() { return _Min; } + _LIBCPP_INLINE_VISIBILITY + static _LIBCPP_CONSTEXPR result_type max() { return _Max; } + + // constructors and seeding functions + _LIBCPP_INLINE_VISIBILITY + independent_bits_engine() {} + _LIBCPP_INLINE_VISIBILITY + explicit independent_bits_engine(const _Engine& __e) + : __e_(__e) {} +#ifndef _LIBCPP_CXX03_LANG + _LIBCPP_INLINE_VISIBILITY + explicit independent_bits_engine(_Engine&& __e) + : __e_(_VSTD::move(__e)) {} +#endif // _LIBCPP_CXX03_LANG + _LIBCPP_INLINE_VISIBILITY + explicit independent_bits_engine(result_type __sd) : __e_(__sd) {} + template<class _Sseq> + _LIBCPP_INLINE_VISIBILITY + explicit independent_bits_engine(_Sseq& __q, + typename enable_if<__is_seed_sequence<_Sseq, independent_bits_engine>::value && + !is_convertible<_Sseq, _Engine>::value>::type* = 0) + : __e_(__q) {} + _LIBCPP_INLINE_VISIBILITY + void seed() {__e_.seed();} + _LIBCPP_INLINE_VISIBILITY + void seed(result_type __sd) {__e_.seed(__sd);} + template<class _Sseq> + _LIBCPP_INLINE_VISIBILITY + typename enable_if + < + __is_seed_sequence<_Sseq, independent_bits_engine>::value, + void + >::type + seed(_Sseq& __q) {__e_.seed(__q);} + + // generating functions + _LIBCPP_INLINE_VISIBILITY + result_type operator()() {return __eval(integral_constant<bool, _Rp != 0>());} + _LIBCPP_INLINE_VISIBILITY + void discard(unsigned long long __z) {for (; __z; --__z) operator()();} + + // property functions + _LIBCPP_INLINE_VISIBILITY + const _Engine& base() const _NOEXCEPT {return __e_;} + + template<class _Eng, size_t _Wp, class _UInt> + friend + bool + operator==( + const independent_bits_engine<_Eng, _Wp, _UInt>& __x, + const independent_bits_engine<_Eng, _Wp, _UInt>& __y); + + template<class _Eng, size_t _Wp, class _UInt> + friend + bool + operator!=( + const independent_bits_engine<_Eng, _Wp, _UInt>& __x, + const independent_bits_engine<_Eng, _Wp, _UInt>& __y); + + template <class _CharT, class _Traits, + class _Eng, size_t _Wp, class _UInt> + friend + basic_ostream<_CharT, _Traits>& + operator<<(basic_ostream<_CharT, _Traits>& __os, + const independent_bits_engine<_Eng, _Wp, _UInt>& __x); + + template <class _CharT, class _Traits, + class _Eng, size_t _Wp, class _UInt> + friend + basic_istream<_CharT, _Traits>& + operator>>(basic_istream<_CharT, _Traits>& __is, + independent_bits_engine<_Eng, _Wp, _UInt>& __x); + +private: + _LIBCPP_INLINE_VISIBILITY + result_type __eval(false_type); + result_type __eval(true_type); + + template <size_t __count> + _LIBCPP_INLINE_VISIBILITY + static + typename enable_if + < + __count < _Dt, + result_type + >::type + __lshift(result_type __x) {return __x << __count;} + + template <size_t __count> + _LIBCPP_INLINE_VISIBILITY + static + typename enable_if + < + (__count >= _Dt), + result_type + >::type + __lshift(result_type) {return result_type(0);} +}; + +template<class _Engine, size_t __w, class _UIntType> +inline +_UIntType +independent_bits_engine<_Engine, __w, _UIntType>::__eval(false_type) +{ + return static_cast<result_type>(__e_() & __mask0); +} + +template<class _Engine, size_t __w, class _UIntType> +_UIntType +independent_bits_engine<_Engine, __w, _UIntType>::__eval(true_type) +{ + result_type _Sp = 0; + for (size_t __k = 0; __k < __n0; ++__k) + { + _Engine_result_type __u; + do + { + __u = __e_() - _Engine::min(); + } while (__u >= __y0); + _Sp = static_cast<result_type>(__lshift<__w0>(_Sp) + (__u & __mask0)); + } + for (size_t __k = __n0; __k < __n; ++__k) + { + _Engine_result_type __u; + do + { + __u = __e_() - _Engine::min(); + } while (__u >= __y1); + _Sp = static_cast<result_type>(__lshift<__w0+1>(_Sp) + (__u & __mask1)); + } + return _Sp; +} + +template<class _Eng, size_t _Wp, class _UInt> +inline _LIBCPP_INLINE_VISIBILITY +bool +operator==( + const independent_bits_engine<_Eng, _Wp, _UInt>& __x, + const independent_bits_engine<_Eng, _Wp, _UInt>& __y) +{ + return __x.base() == __y.base(); +} + +template<class _Eng, size_t _Wp, class _UInt> +inline _LIBCPP_INLINE_VISIBILITY +bool +operator!=( + const independent_bits_engine<_Eng, _Wp, _UInt>& __x, + const independent_bits_engine<_Eng, _Wp, _UInt>& __y) +{ + return !(__x == __y); +} + +template <class _CharT, class _Traits, + class _Eng, size_t _Wp, class _UInt> +basic_ostream<_CharT, _Traits>& +operator<<(basic_ostream<_CharT, _Traits>& __os, + const independent_bits_engine<_Eng, _Wp, _UInt>& __x) +{ + return __os << __x.base(); +} + +template <class _CharT, class _Traits, + class _Eng, size_t _Wp, class _UInt> +basic_istream<_CharT, _Traits>& +operator>>(basic_istream<_CharT, _Traits>& __is, + independent_bits_engine<_Eng, _Wp, _UInt>& __x) +{ + _Eng __e; + __is >> __e; + if (!__is.fail()) + __x.__e_ = __e; + return __is; +} + +// shuffle_order_engine + +template <uint64_t _Xp, uint64_t _Yp> +struct __ugcd +{ + static _LIBCPP_CONSTEXPR const uint64_t value = __ugcd<_Yp, _Xp % _Yp>::value; +}; + +template <uint64_t _Xp> +struct __ugcd<_Xp, 0> +{ + static _LIBCPP_CONSTEXPR const uint64_t value = _Xp; +}; + +template <uint64_t _Np, uint64_t _Dp> +class __uratio +{ + static_assert(_Dp != 0, "__uratio divide by 0"); + static _LIBCPP_CONSTEXPR const uint64_t __gcd = __ugcd<_Np, _Dp>::value; +public: + static _LIBCPP_CONSTEXPR const uint64_t num = _Np / __gcd; + static _LIBCPP_CONSTEXPR const uint64_t den = _Dp / __gcd; + + typedef __uratio<num, den> type; +}; + +template<class _Engine, size_t __k> +class _LIBCPP_TEMPLATE_VIS shuffle_order_engine +{ + static_assert(0 < __k, "shuffle_order_engine invalid parameters"); +public: + // types + typedef typename _Engine::result_type result_type; + +private: + _Engine __e_; + result_type _V_[__k]; + result_type _Y_; + +public: + // engine characteristics + static _LIBCPP_CONSTEXPR const size_t table_size = __k; + +#ifdef _LIBCPP_CXX03_LANG + static const result_type _Min = _Engine::_Min; + static const result_type _Max = _Engine::_Max; +#else + static _LIBCPP_CONSTEXPR const result_type _Min = _Engine::min(); + static _LIBCPP_CONSTEXPR const result_type _Max = _Engine::max(); +#endif + static_assert(_Min < _Max, "shuffle_order_engine invalid parameters"); + _LIBCPP_INLINE_VISIBILITY + static _LIBCPP_CONSTEXPR result_type min() { return _Min; } + _LIBCPP_INLINE_VISIBILITY + static _LIBCPP_CONSTEXPR result_type max() { return _Max; } + + static _LIBCPP_CONSTEXPR const unsigned long long _Rp = _Max - _Min + 1ull; + + // constructors and seeding functions + _LIBCPP_INLINE_VISIBILITY + shuffle_order_engine() {__init();} + _LIBCPP_INLINE_VISIBILITY + explicit shuffle_order_engine(const _Engine& __e) + : __e_(__e) {__init();} +#ifndef _LIBCPP_CXX03_LANG + _LIBCPP_INLINE_VISIBILITY + explicit shuffle_order_engine(_Engine&& __e) + : __e_(_VSTD::move(__e)) {__init();} +#endif // _LIBCPP_CXX03_LANG + _LIBCPP_INLINE_VISIBILITY + explicit shuffle_order_engine(result_type __sd) : __e_(__sd) {__init();} + template<class _Sseq> + _LIBCPP_INLINE_VISIBILITY + explicit shuffle_order_engine(_Sseq& __q, + typename enable_if<__is_seed_sequence<_Sseq, shuffle_order_engine>::value && + !is_convertible<_Sseq, _Engine>::value>::type* = 0) + : __e_(__q) {__init();} + _LIBCPP_INLINE_VISIBILITY + void seed() {__e_.seed(); __init();} + _LIBCPP_INLINE_VISIBILITY + void seed(result_type __sd) {__e_.seed(__sd); __init();} + template<class _Sseq> + _LIBCPP_INLINE_VISIBILITY + typename enable_if + < + __is_seed_sequence<_Sseq, shuffle_order_engine>::value, + void + >::type + seed(_Sseq& __q) {__e_.seed(__q); __init();} + + // generating functions + _LIBCPP_INLINE_VISIBILITY + result_type operator()() {return __eval(integral_constant<bool, _Rp != 0>());} + _LIBCPP_INLINE_VISIBILITY + void discard(unsigned long long __z) {for (; __z; --__z) operator()();} + + // property functions + _LIBCPP_INLINE_VISIBILITY + const _Engine& base() const _NOEXCEPT {return __e_;} + +private: + template<class _Eng, size_t _Kp> + friend + bool + operator==( + const shuffle_order_engine<_Eng, _Kp>& __x, + const shuffle_order_engine<_Eng, _Kp>& __y); + + template<class _Eng, size_t _Kp> + friend + bool + operator!=( + const shuffle_order_engine<_Eng, _Kp>& __x, + const shuffle_order_engine<_Eng, _Kp>& __y); + + template <class _CharT, class _Traits, + class _Eng, size_t _Kp> + friend + basic_ostream<_CharT, _Traits>& + operator<<(basic_ostream<_CharT, _Traits>& __os, + const shuffle_order_engine<_Eng, _Kp>& __x); + + template <class _CharT, class _Traits, + class _Eng, size_t _Kp> + friend + basic_istream<_CharT, _Traits>& + operator>>(basic_istream<_CharT, _Traits>& __is, + shuffle_order_engine<_Eng, _Kp>& __x); + + _LIBCPP_INLINE_VISIBILITY + void __init() + { + for (size_t __i = 0; __i < __k; ++__i) + _V_[__i] = __e_(); + _Y_ = __e_(); + } + + _LIBCPP_INLINE_VISIBILITY + result_type __eval(false_type) {return __eval2(integral_constant<bool, __k & 1>());} + _LIBCPP_INLINE_VISIBILITY + result_type __eval(true_type) {return __eval(__uratio<__k, _Rp>());} + + _LIBCPP_INLINE_VISIBILITY + result_type __eval2(false_type) {return __eval(__uratio<__k/2, 0x8000000000000000ull>());} + _LIBCPP_INLINE_VISIBILITY + result_type __eval2(true_type) {return __evalf<__k, 0>();} + + template <uint64_t _Np, uint64_t _Dp> + _LIBCPP_INLINE_VISIBILITY + typename enable_if + < + (__uratio<_Np, _Dp>::num > 0xFFFFFFFFFFFFFFFFull / (_Max - _Min)), + result_type + >::type + __eval(__uratio<_Np, _Dp>) + {return __evalf<__uratio<_Np, _Dp>::num, __uratio<_Np, _Dp>::den>();} + + template <uint64_t _Np, uint64_t _Dp> + _LIBCPP_INLINE_VISIBILITY + typename enable_if + < + __uratio<_Np, _Dp>::num <= 0xFFFFFFFFFFFFFFFFull / (_Max - _Min), + result_type + >::type + __eval(__uratio<_Np, _Dp>) + { + const size_t __j = static_cast<size_t>(__uratio<_Np, _Dp>::num * (_Y_ - _Min) + / __uratio<_Np, _Dp>::den); + _Y_ = _V_[__j]; + _V_[__j] = __e_(); + return _Y_; + } + + template <uint64_t __n, uint64_t __d> + _LIBCPP_INLINE_VISIBILITY + result_type __evalf() + { + const double _Fp = __d == 0 ? + __n / (2. * 0x8000000000000000ull) : + __n / (double)__d; + const size_t __j = static_cast<size_t>(_Fp * (_Y_ - _Min)); + _Y_ = _V_[__j]; + _V_[__j] = __e_(); + return _Y_; + } +}; + +template<class _Engine, size_t __k> + _LIBCPP_CONSTEXPR const size_t shuffle_order_engine<_Engine, __k>::table_size; + +template<class _Eng, size_t _Kp> +bool +operator==( + const shuffle_order_engine<_Eng, _Kp>& __x, + const shuffle_order_engine<_Eng, _Kp>& __y) +{ + return __x._Y_ == __y._Y_ && _VSTD::equal(__x._V_, __x._V_ + _Kp, __y._V_) && + __x.__e_ == __y.__e_; +} + +template<class _Eng, size_t _Kp> +inline _LIBCPP_INLINE_VISIBILITY +bool +operator!=( + const shuffle_order_engine<_Eng, _Kp>& __x, + const shuffle_order_engine<_Eng, _Kp>& __y) +{ + return !(__x == __y); +} + +template <class _CharT, class _Traits, + class _Eng, size_t _Kp> +basic_ostream<_CharT, _Traits>& +operator<<(basic_ostream<_CharT, _Traits>& __os, + const shuffle_order_engine<_Eng, _Kp>& __x) +{ + __save_flags<_CharT, _Traits> __lx(__os); + __os.flags(ios_base::dec | ios_base::left); + _CharT __sp = __os.widen(' '); + __os.fill(__sp); + __os << __x.__e_ << __sp << __x._V_[0]; + for (size_t __i = 1; __i < _Kp; ++__i) + __os << __sp << __x._V_[__i]; + return __os << __sp << __x._Y_; +} + +template <class _CharT, class _Traits, + class _Eng, size_t _Kp> +basic_istream<_CharT, _Traits>& +operator>>(basic_istream<_CharT, _Traits>& __is, + shuffle_order_engine<_Eng, _Kp>& __x) +{ + typedef typename shuffle_order_engine<_Eng, _Kp>::result_type result_type; + __save_flags<_CharT, _Traits> __lx(__is); + __is.flags(ios_base::dec | ios_base::skipws); + _Eng __e; + result_type _Vp[_Kp+1]; + __is >> __e; + for (size_t __i = 0; __i < _Kp+1; ++__i) + __is >> _Vp[__i]; + if (!__is.fail()) + { + __x.__e_ = __e; + for (size_t __i = 0; __i < _Kp; ++__i) + __x._V_[__i] = _Vp[__i]; + __x._Y_ = _Vp[_Kp]; + } + return __is; +} + +typedef shuffle_order_engine<minstd_rand0, 256> knuth_b; + +// random_device + +class _LIBCPP_TYPE_VIS random_device +{ +#ifdef _LIBCPP_USING_DEV_RANDOM + int __f_; +#endif // defined(_LIBCPP_USING_DEV_RANDOM) +public: + // types + typedef unsigned result_type; + + // generator characteristics + static _LIBCPP_CONSTEXPR const result_type _Min = 0; + static _LIBCPP_CONSTEXPR const result_type _Max = 0xFFFFFFFFu; + + _LIBCPP_INLINE_VISIBILITY + static _LIBCPP_CONSTEXPR result_type min() { return _Min;} + _LIBCPP_INLINE_VISIBILITY + static _LIBCPP_CONSTEXPR result_type max() { return _Max;} + + // constructors + explicit random_device(const string& __token = "/dev/urandom"); + ~random_device(); + + // generating functions + result_type operator()(); + + // property functions + double entropy() const _NOEXCEPT; + +private: + // no copy functions + random_device(const random_device&); // = delete; + random_device& operator=(const random_device&); // = delete; +}; + +// seed_seq + +class _LIBCPP_TEMPLATE_VIS seed_seq +{ +public: + // types + typedef uint32_t result_type; + +private: + vector<result_type> __v_; + + template<class _InputIterator> + void init(_InputIterator __first, _InputIterator __last); +public: + // constructors + _LIBCPP_INLINE_VISIBILITY + seed_seq() _NOEXCEPT {} +#ifndef _LIBCPP_CXX03_LANG + template<class _Tp> + _LIBCPP_INLINE_VISIBILITY + seed_seq(initializer_list<_Tp> __il) {init(__il.begin(), __il.end());} +#endif // _LIBCPP_CXX03_LANG + + template<class _InputIterator> + _LIBCPP_INLINE_VISIBILITY + seed_seq(_InputIterator __first, _InputIterator __last) + {init(__first, __last);} + + // generating functions + template<class _RandomAccessIterator> + void generate(_RandomAccessIterator __first, _RandomAccessIterator __last); + + // property functions + _LIBCPP_INLINE_VISIBILITY + size_t size() const _NOEXCEPT {return __v_.size();} + template<class _OutputIterator> + _LIBCPP_INLINE_VISIBILITY + void param(_OutputIterator __dest) const + {_VSTD::copy(__v_.begin(), __v_.end(), __dest);} + +private: + // no copy functions + seed_seq(const seed_seq&); // = delete; + void operator=(const seed_seq&); // = delete; + + _LIBCPP_INLINE_VISIBILITY + static result_type _Tp(result_type __x) {return __x ^ (__x >> 27);} +}; + +template<class _InputIterator> +void +seed_seq::init(_InputIterator __first, _InputIterator __last) +{ + for (_InputIterator __s = __first; __s != __last; ++__s) + __v_.push_back(*__s & 0xFFFFFFFF); +} + +template<class _RandomAccessIterator> +void +seed_seq::generate(_RandomAccessIterator __first, _RandomAccessIterator __last) +{ + if (__first != __last) + { + _VSTD::fill(__first, __last, 0x8b8b8b8b); + const size_t __n = static_cast<size_t>(__last - __first); + const size_t __s = __v_.size(); + const size_t __t = (__n >= 623) ? 11 + : (__n >= 68) ? 7 + : (__n >= 39) ? 5 + : (__n >= 7) ? 3 + : (__n - 1) / 2; + const size_t __p = (__n - __t) / 2; + const size_t __q = __p + __t; + const size_t __m = _VSTD::max(__s + 1, __n); + // __k = 0; + { + result_type __r = 1664525 * _Tp(__first[0] ^ __first[__p] + ^ __first[__n - 1]); + __first[__p] += __r; + __r += __s; + __first[__q] += __r; + __first[0] = __r; + } + for (size_t __k = 1; __k <= __s; ++__k) + { + const size_t __kmodn = __k % __n; + const size_t __kpmodn = (__k + __p) % __n; + result_type __r = 1664525 * _Tp(__first[__kmodn] ^ __first[__kpmodn] + ^ __first[(__k - 1) % __n]); + __first[__kpmodn] += __r; + __r += __kmodn + __v_[__k-1]; + __first[(__k + __q) % __n] += __r; + __first[__kmodn] = __r; + } + for (size_t __k = __s + 1; __k < __m; ++__k) + { + const size_t __kmodn = __k % __n; + const size_t __kpmodn = (__k + __p) % __n; + result_type __r = 1664525 * _Tp(__first[__kmodn] ^ __first[__kpmodn] + ^ __first[(__k - 1) % __n]); + __first[__kpmodn] += __r; + __r += __kmodn; + __first[(__k + __q) % __n] += __r; + __first[__kmodn] = __r; + } + for (size_t __k = __m; __k < __m + __n; ++__k) + { + const size_t __kmodn = __k % __n; + const size_t __kpmodn = (__k + __p) % __n; + result_type __r = 1566083941 * _Tp(__first[__kmodn] + + __first[__kpmodn] + + __first[(__k - 1) % __n]); + __first[__kpmodn] ^= __r; + __r -= __kmodn; + __first[(__k + __q) % __n] ^= __r; + __first[__kmodn] = __r; + } + } +} + +// generate_canonical + +template<class _RealType, size_t __bits, class _URNG> +_RealType +generate_canonical(_URNG& __g) +{ + const size_t _Dt = numeric_limits<_RealType>::digits; + const size_t __b = _Dt < __bits ? _Dt : __bits; +#ifdef _LIBCPP_CXX03_LANG + const size_t __logR = __log2<uint64_t, _URNG::_Max - _URNG::_Min + uint64_t(1)>::value; +#else + const size_t __logR = __log2<uint64_t, _URNG::max() - _URNG::min() + uint64_t(1)>::value; +#endif + const size_t __k = __b / __logR + (__b % __logR != 0) + (__b == 0); + const _RealType _Rp = _URNG::max() - _URNG::min() + _RealType(1); + _RealType __base = _Rp; + _RealType _Sp = __g() - _URNG::min(); + for (size_t __i = 1; __i < __k; ++__i, __base *= _Rp) + _Sp += (__g() - _URNG::min()) * __base; + return _Sp / __base; +} + +// uniform_int_distribution + +// in <algorithm> + +template <class _CharT, class _Traits, class _IT> +basic_ostream<_CharT, _Traits>& +operator<<(basic_ostream<_CharT, _Traits>& __os, + const uniform_int_distribution<_IT>& __x) +{ + __save_flags<_CharT, _Traits> __lx(__os); + __os.flags(ios_base::dec | ios_base::left); + _CharT __sp = __os.widen(' '); + __os.fill(__sp); + return __os << __x.a() << __sp << __x.b(); +} + +template <class _CharT, class _Traits, class _IT> +basic_istream<_CharT, _Traits>& +operator>>(basic_istream<_CharT, _Traits>& __is, + uniform_int_distribution<_IT>& __x) +{ + typedef uniform_int_distribution<_IT> _Eng; + typedef typename _Eng::result_type result_type; + typedef typename _Eng::param_type param_type; + __save_flags<_CharT, _Traits> __lx(__is); + __is.flags(ios_base::dec | ios_base::skipws); + result_type __a; + result_type __b; + __is >> __a >> __b; + if (!__is.fail()) + __x.param(param_type(__a, __b)); + return __is; +} + +// uniform_real_distribution + +template<class _RealType = double> +class _LIBCPP_TEMPLATE_VIS uniform_real_distribution +{ +public: + // types + typedef _RealType result_type; + + class _LIBCPP_TEMPLATE_VIS param_type + { + result_type __a_; + result_type __b_; + public: + typedef uniform_real_distribution distribution_type; + + _LIBCPP_INLINE_VISIBILITY + explicit param_type(result_type __a = 0, + result_type __b = 1) + : __a_(__a), __b_(__b) {} + + _LIBCPP_INLINE_VISIBILITY + result_type a() const {return __a_;} + _LIBCPP_INLINE_VISIBILITY + result_type b() const {return __b_;} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const param_type& __x, const param_type& __y) + {return __x.__a_ == __y.__a_ && __x.__b_ == __y.__b_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const param_type& __x, const param_type& __y) + {return !(__x == __y);} + }; + +private: + param_type __p_; + +public: + // constructors and reset functions + _LIBCPP_INLINE_VISIBILITY + explicit uniform_real_distribution(result_type __a = 0, result_type __b = 1) + : __p_(param_type(__a, __b)) {} + _LIBCPP_INLINE_VISIBILITY + explicit uniform_real_distribution(const param_type& __p) : __p_(__p) {} + _LIBCPP_INLINE_VISIBILITY + void reset() {} + + // generating functions + template<class _URNG> + _LIBCPP_INLINE_VISIBILITY + result_type operator()(_URNG& __g) + {return (*this)(__g, __p_);} + template<class _URNG> _LIBCPP_INLINE_VISIBILITY result_type operator()(_URNG& __g, const param_type& __p); + + // property functions + _LIBCPP_INLINE_VISIBILITY + result_type a() const {return __p_.a();} + _LIBCPP_INLINE_VISIBILITY + result_type b() const {return __p_.b();} + + _LIBCPP_INLINE_VISIBILITY + param_type param() const {return __p_;} + _LIBCPP_INLINE_VISIBILITY + void param(const param_type& __p) {__p_ = __p;} + + _LIBCPP_INLINE_VISIBILITY + result_type min() const {return a();} + _LIBCPP_INLINE_VISIBILITY + result_type max() const {return b();} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const uniform_real_distribution& __x, + const uniform_real_distribution& __y) + {return __x.__p_ == __y.__p_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const uniform_real_distribution& __x, + const uniform_real_distribution& __y) + {return !(__x == __y);} +}; + +template<class _RealType> +template<class _URNG> +inline +typename uniform_real_distribution<_RealType>::result_type +uniform_real_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) +{ + return (__p.b() - __p.a()) + * _VSTD::generate_canonical<_RealType, numeric_limits<_RealType>::digits>(__g) + + __p.a(); +} + +template <class _CharT, class _Traits, class _RT> +basic_ostream<_CharT, _Traits>& +operator<<(basic_ostream<_CharT, _Traits>& __os, + const uniform_real_distribution<_RT>& __x) +{ + __save_flags<_CharT, _Traits> __lx(__os); + __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | + ios_base::scientific); + _CharT __sp = __os.widen(' '); + __os.fill(__sp); + return __os << __x.a() << __sp << __x.b(); +} + +template <class _CharT, class _Traits, class _RT> +basic_istream<_CharT, _Traits>& +operator>>(basic_istream<_CharT, _Traits>& __is, + uniform_real_distribution<_RT>& __x) +{ + typedef uniform_real_distribution<_RT> _Eng; + typedef typename _Eng::result_type result_type; + typedef typename _Eng::param_type param_type; + __save_flags<_CharT, _Traits> __lx(__is); + __is.flags(ios_base::dec | ios_base::skipws); + result_type __a; + result_type __b; + __is >> __a >> __b; + if (!__is.fail()) + __x.param(param_type(__a, __b)); + return __is; +} + +// bernoulli_distribution + +class _LIBCPP_TEMPLATE_VIS bernoulli_distribution +{ +public: + // types + typedef bool result_type; + + class _LIBCPP_TEMPLATE_VIS param_type + { + double __p_; + public: + typedef bernoulli_distribution distribution_type; + + _LIBCPP_INLINE_VISIBILITY + explicit param_type(double __p = 0.5) : __p_(__p) {} + + _LIBCPP_INLINE_VISIBILITY + double p() const {return __p_;} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const param_type& __x, const param_type& __y) + {return __x.__p_ == __y.__p_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const param_type& __x, const param_type& __y) + {return !(__x == __y);} + }; + +private: + param_type __p_; + +public: + // constructors and reset functions + _LIBCPP_INLINE_VISIBILITY + explicit bernoulli_distribution(double __p = 0.5) + : __p_(param_type(__p)) {} + _LIBCPP_INLINE_VISIBILITY + explicit bernoulli_distribution(const param_type& __p) : __p_(__p) {} + _LIBCPP_INLINE_VISIBILITY + void reset() {} + + // generating functions + template<class _URNG> + _LIBCPP_INLINE_VISIBILITY + result_type operator()(_URNG& __g) + {return (*this)(__g, __p_);} + template<class _URNG> _LIBCPP_INLINE_VISIBILITY result_type operator()(_URNG& __g, const param_type& __p); + + // property functions + _LIBCPP_INLINE_VISIBILITY + double p() const {return __p_.p();} + + _LIBCPP_INLINE_VISIBILITY + param_type param() const {return __p_;} + _LIBCPP_INLINE_VISIBILITY + void param(const param_type& __p) {__p_ = __p;} + + _LIBCPP_INLINE_VISIBILITY + result_type min() const {return false;} + _LIBCPP_INLINE_VISIBILITY + result_type max() const {return true;} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const bernoulli_distribution& __x, + const bernoulli_distribution& __y) + {return __x.__p_ == __y.__p_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const bernoulli_distribution& __x, + const bernoulli_distribution& __y) + {return !(__x == __y);} +}; + +template<class _URNG> +inline +bernoulli_distribution::result_type +bernoulli_distribution::operator()(_URNG& __g, const param_type& __p) +{ + uniform_real_distribution<double> __gen; + return __gen(__g) < __p.p(); +} + +template <class _CharT, class _Traits> +basic_ostream<_CharT, _Traits>& +operator<<(basic_ostream<_CharT, _Traits>& __os, const bernoulli_distribution& __x) +{ + __save_flags<_CharT, _Traits> __lx(__os); + __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | + ios_base::scientific); + _CharT __sp = __os.widen(' '); + __os.fill(__sp); + return __os << __x.p(); +} + +template <class _CharT, class _Traits> +basic_istream<_CharT, _Traits>& +operator>>(basic_istream<_CharT, _Traits>& __is, bernoulli_distribution& __x) +{ + typedef bernoulli_distribution _Eng; + typedef typename _Eng::param_type param_type; + __save_flags<_CharT, _Traits> __lx(__is); + __is.flags(ios_base::dec | ios_base::skipws); + double __p; + __is >> __p; + if (!__is.fail()) + __x.param(param_type(__p)); + return __is; +} + +// binomial_distribution + +template<class _IntType = int> +class _LIBCPP_TEMPLATE_VIS binomial_distribution +{ +public: + // types + typedef _IntType result_type; + + class _LIBCPP_TEMPLATE_VIS param_type + { + result_type __t_; + double __p_; + double __pr_; + double __odds_ratio_; + result_type __r0_; + public: + typedef binomial_distribution distribution_type; + + explicit param_type(result_type __t = 1, double __p = 0.5); + + _LIBCPP_INLINE_VISIBILITY + result_type t() const {return __t_;} + _LIBCPP_INLINE_VISIBILITY + double p() const {return __p_;} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const param_type& __x, const param_type& __y) + {return __x.__t_ == __y.__t_ && __x.__p_ == __y.__p_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const param_type& __x, const param_type& __y) + {return !(__x == __y);} + + friend class binomial_distribution; + }; + +private: + param_type __p_; + +public: + // constructors and reset functions + _LIBCPP_INLINE_VISIBILITY + explicit binomial_distribution(result_type __t = 1, double __p = 0.5) + : __p_(param_type(__t, __p)) {} + _LIBCPP_INLINE_VISIBILITY + explicit binomial_distribution(const param_type& __p) : __p_(__p) {} + _LIBCPP_INLINE_VISIBILITY + void reset() {} + + // generating functions + template<class _URNG> + _LIBCPP_INLINE_VISIBILITY + result_type operator()(_URNG& __g) + {return (*this)(__g, __p_);} + template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); + + // property functions + _LIBCPP_INLINE_VISIBILITY + result_type t() const {return __p_.t();} + _LIBCPP_INLINE_VISIBILITY + double p() const {return __p_.p();} + + _LIBCPP_INLINE_VISIBILITY + param_type param() const {return __p_;} + _LIBCPP_INLINE_VISIBILITY + void param(const param_type& __p) {__p_ = __p;} + + _LIBCPP_INLINE_VISIBILITY + result_type min() const {return 0;} + _LIBCPP_INLINE_VISIBILITY + result_type max() const {return t();} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const binomial_distribution& __x, + const binomial_distribution& __y) + {return __x.__p_ == __y.__p_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const binomial_distribution& __x, + const binomial_distribution& __y) + {return !(__x == __y);} +}; + +#ifndef _LIBCPP_MSVCRT +extern "C" double lgamma_r(double, int *); +#endif + +inline _LIBCPP_INLINE_VISIBILITY double __libcpp_lgamma(double __d) { +#if defined(_LIBCPP_MSVCRT) + return lgamma(__d); +#else + int __sign; + return lgamma_r(__d, &__sign); +#endif +} + +template<class _IntType> +binomial_distribution<_IntType>::param_type::param_type(const result_type __t, const double __p) + : __t_(__t), __p_(__p) +{ + if (0 < __p_ && __p_ < 1) + { + __r0_ = static_cast<result_type>((__t_ + 1) * __p_); + __pr_ = _VSTD::exp(__libcpp_lgamma(__t_ + 1.) - + __libcpp_lgamma(__r0_ + 1.) - + __libcpp_lgamma(__t_ - __r0_ + 1.) + __r0_ * _VSTD::log(__p_) + + (__t_ - __r0_) * _VSTD::log(1 - __p_)); + __odds_ratio_ = __p_ / (1 - __p_); + } +} + +// Reference: Kemp, C.D. (1986). `A modal method for generating binomial +// variables', Commun. Statist. - Theor. Meth. 15(3), 805-813. +template<class _IntType> +template<class _URNG> +_IntType +binomial_distribution<_IntType>::operator()(_URNG& __g, const param_type& __pr) +{ + if (__pr.__t_ == 0 || __pr.__p_ == 0) + return 0; + if (__pr.__p_ == 1) + return __pr.__t_; + uniform_real_distribution<double> __gen; + double __u = __gen(__g) - __pr.__pr_; + if (__u < 0) + return __pr.__r0_; + double __pu = __pr.__pr_; + double __pd = __pu; + result_type __ru = __pr.__r0_; + result_type __rd = __ru; + while (true) + { + if (__rd >= 1) + { + __pd *= __rd / (__pr.__odds_ratio_ * (__pr.__t_ - __rd + 1)); + __u -= __pd; + if (__u < 0) + return __rd - 1; + } + if ( __rd != 0 ) + --__rd; + ++__ru; + if (__ru <= __pr.__t_) + { + __pu *= (__pr.__t_ - __ru + 1) * __pr.__odds_ratio_ / __ru; + __u -= __pu; + if (__u < 0) + return __ru; + } + } +} + +template <class _CharT, class _Traits, class _IntType> +basic_ostream<_CharT, _Traits>& +operator<<(basic_ostream<_CharT, _Traits>& __os, + const binomial_distribution<_IntType>& __x) +{ + __save_flags<_CharT, _Traits> __lx(__os); + __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | + ios_base::scientific); + _CharT __sp = __os.widen(' '); + __os.fill(__sp); + return __os << __x.t() << __sp << __x.p(); +} + +template <class _CharT, class _Traits, class _IntType> +basic_istream<_CharT, _Traits>& +operator>>(basic_istream<_CharT, _Traits>& __is, + binomial_distribution<_IntType>& __x) +{ + typedef binomial_distribution<_IntType> _Eng; + typedef typename _Eng::result_type result_type; + typedef typename _Eng::param_type param_type; + __save_flags<_CharT, _Traits> __lx(__is); + __is.flags(ios_base::dec | ios_base::skipws); + result_type __t; + double __p; + __is >> __t >> __p; + if (!__is.fail()) + __x.param(param_type(__t, __p)); + return __is; +} + +// exponential_distribution + +template<class _RealType = double> +class _LIBCPP_TEMPLATE_VIS exponential_distribution +{ +public: + // types + typedef _RealType result_type; + + class _LIBCPP_TEMPLATE_VIS param_type + { + result_type __lambda_; + public: + typedef exponential_distribution distribution_type; + + _LIBCPP_INLINE_VISIBILITY + explicit param_type(result_type __lambda = 1) : __lambda_(__lambda) {} + + _LIBCPP_INLINE_VISIBILITY + result_type lambda() const {return __lambda_;} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const param_type& __x, const param_type& __y) + {return __x.__lambda_ == __y.__lambda_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const param_type& __x, const param_type& __y) + {return !(__x == __y);} + }; + +private: + param_type __p_; + +public: + // constructors and reset functions + _LIBCPP_INLINE_VISIBILITY + explicit exponential_distribution(result_type __lambda = 1) + : __p_(param_type(__lambda)) {} + _LIBCPP_INLINE_VISIBILITY + explicit exponential_distribution(const param_type& __p) : __p_(__p) {} + _LIBCPP_INLINE_VISIBILITY + void reset() {} + + // generating functions + template<class _URNG> + _LIBCPP_INLINE_VISIBILITY + result_type operator()(_URNG& __g) + {return (*this)(__g, __p_);} + template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); + + // property functions + _LIBCPP_INLINE_VISIBILITY + result_type lambda() const {return __p_.lambda();} + + _LIBCPP_INLINE_VISIBILITY + param_type param() const {return __p_;} + _LIBCPP_INLINE_VISIBILITY + void param(const param_type& __p) {__p_ = __p;} + + _LIBCPP_INLINE_VISIBILITY + result_type min() const {return 0;} + _LIBCPP_INLINE_VISIBILITY + result_type max() const {return numeric_limits<result_type>::infinity();} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const exponential_distribution& __x, + const exponential_distribution& __y) + {return __x.__p_ == __y.__p_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const exponential_distribution& __x, + const exponential_distribution& __y) + {return !(__x == __y);} +}; + +template <class _RealType> +template<class _URNG> +_RealType +exponential_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) +{ + return -_VSTD::log + ( + result_type(1) - + _VSTD::generate_canonical<result_type, + numeric_limits<result_type>::digits>(__g) + ) + / __p.lambda(); +} + +template <class _CharT, class _Traits, class _RealType> +basic_ostream<_CharT, _Traits>& +operator<<(basic_ostream<_CharT, _Traits>& __os, + const exponential_distribution<_RealType>& __x) +{ + __save_flags<_CharT, _Traits> __lx(__os); + __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | + ios_base::scientific); + return __os << __x.lambda(); +} + +template <class _CharT, class _Traits, class _RealType> +basic_istream<_CharT, _Traits>& +operator>>(basic_istream<_CharT, _Traits>& __is, + exponential_distribution<_RealType>& __x) +{ + typedef exponential_distribution<_RealType> _Eng; + typedef typename _Eng::result_type result_type; + typedef typename _Eng::param_type param_type; + __save_flags<_CharT, _Traits> __lx(__is); + __is.flags(ios_base::dec | ios_base::skipws); + result_type __lambda; + __is >> __lambda; + if (!__is.fail()) + __x.param(param_type(__lambda)); + return __is; +} + +// normal_distribution + +template<class _RealType = double> +class _LIBCPP_TEMPLATE_VIS normal_distribution +{ +public: + // types + typedef _RealType result_type; + + class _LIBCPP_TEMPLATE_VIS param_type + { + result_type __mean_; + result_type __stddev_; + public: + typedef normal_distribution distribution_type; + + _LIBCPP_INLINE_VISIBILITY + explicit param_type(result_type __mean = 0, result_type __stddev = 1) + : __mean_(__mean), __stddev_(__stddev) {} + + _LIBCPP_INLINE_VISIBILITY + result_type mean() const {return __mean_;} + _LIBCPP_INLINE_VISIBILITY + result_type stddev() const {return __stddev_;} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const param_type& __x, const param_type& __y) + {return __x.__mean_ == __y.__mean_ && __x.__stddev_ == __y.__stddev_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const param_type& __x, const param_type& __y) + {return !(__x == __y);} + }; + +private: + param_type __p_; + result_type _V_; + bool _V_hot_; + +public: + // constructors and reset functions + _LIBCPP_INLINE_VISIBILITY + explicit normal_distribution(result_type __mean = 0, result_type __stddev = 1) + : __p_(param_type(__mean, __stddev)), _V_hot_(false) {} + _LIBCPP_INLINE_VISIBILITY + explicit normal_distribution(const param_type& __p) + : __p_(__p), _V_hot_(false) {} + _LIBCPP_INLINE_VISIBILITY + void reset() {_V_hot_ = false;} + + // generating functions + template<class _URNG> + _LIBCPP_INLINE_VISIBILITY + result_type operator()(_URNG& __g) + {return (*this)(__g, __p_);} + template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); + + // property functions + _LIBCPP_INLINE_VISIBILITY + result_type mean() const {return __p_.mean();} + _LIBCPP_INLINE_VISIBILITY + result_type stddev() const {return __p_.stddev();} + + _LIBCPP_INLINE_VISIBILITY + param_type param() const {return __p_;} + _LIBCPP_INLINE_VISIBILITY + void param(const param_type& __p) {__p_ = __p;} + + _LIBCPP_INLINE_VISIBILITY + result_type min() const {return -numeric_limits<result_type>::infinity();} + _LIBCPP_INLINE_VISIBILITY + result_type max() const {return numeric_limits<result_type>::infinity();} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const normal_distribution& __x, + const normal_distribution& __y) + {return __x.__p_ == __y.__p_ && __x._V_hot_ == __y._V_hot_ && + (!__x._V_hot_ || __x._V_ == __y._V_);} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const normal_distribution& __x, + const normal_distribution& __y) + {return !(__x == __y);} + + template <class _CharT, class _Traits, class _RT> + friend + basic_ostream<_CharT, _Traits>& + operator<<(basic_ostream<_CharT, _Traits>& __os, + const normal_distribution<_RT>& __x); + + template <class _CharT, class _Traits, class _RT> + friend + basic_istream<_CharT, _Traits>& + operator>>(basic_istream<_CharT, _Traits>& __is, + normal_distribution<_RT>& __x); +}; + +template <class _RealType> +template<class _URNG> +_RealType +normal_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) +{ + result_type _Up; + if (_V_hot_) + { + _V_hot_ = false; + _Up = _V_; + } + else + { + uniform_real_distribution<result_type> _Uni(-1, 1); + result_type __u; + result_type __v; + result_type __s; + do + { + __u = _Uni(__g); + __v = _Uni(__g); + __s = __u * __u + __v * __v; + } while (__s > 1 || __s == 0); + result_type _Fp = _VSTD::sqrt(-2 * _VSTD::log(__s) / __s); + _V_ = __v * _Fp; + _V_hot_ = true; + _Up = __u * _Fp; + } + return _Up * __p.stddev() + __p.mean(); +} + +template <class _CharT, class _Traits, class _RT> +basic_ostream<_CharT, _Traits>& +operator<<(basic_ostream<_CharT, _Traits>& __os, + const normal_distribution<_RT>& __x) +{ + __save_flags<_CharT, _Traits> __lx(__os); + __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | + ios_base::scientific); + _CharT __sp = __os.widen(' '); + __os.fill(__sp); + __os << __x.mean() << __sp << __x.stddev() << __sp << __x._V_hot_; + if (__x._V_hot_) + __os << __sp << __x._V_; + return __os; +} + +template <class _CharT, class _Traits, class _RT> +basic_istream<_CharT, _Traits>& +operator>>(basic_istream<_CharT, _Traits>& __is, + normal_distribution<_RT>& __x) +{ + typedef normal_distribution<_RT> _Eng; + typedef typename _Eng::result_type result_type; + typedef typename _Eng::param_type param_type; + __save_flags<_CharT, _Traits> __lx(__is); + __is.flags(ios_base::dec | ios_base::skipws); + result_type __mean; + result_type __stddev; + result_type _Vp = 0; + bool _V_hot = false; + __is >> __mean >> __stddev >> _V_hot; + if (_V_hot) + __is >> _Vp; + if (!__is.fail()) + { + __x.param(param_type(__mean, __stddev)); + __x._V_hot_ = _V_hot; + __x._V_ = _Vp; + } + return __is; +} + +// lognormal_distribution + +template<class _RealType = double> +class _LIBCPP_TEMPLATE_VIS lognormal_distribution +{ +public: + // types + typedef _RealType result_type; + + class _LIBCPP_TEMPLATE_VIS param_type + { + normal_distribution<result_type> __nd_; + public: + typedef lognormal_distribution distribution_type; + + _LIBCPP_INLINE_VISIBILITY + explicit param_type(result_type __m = 0, result_type __s = 1) + : __nd_(__m, __s) {} + + _LIBCPP_INLINE_VISIBILITY + result_type m() const {return __nd_.mean();} + _LIBCPP_INLINE_VISIBILITY + result_type s() const {return __nd_.stddev();} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const param_type& __x, const param_type& __y) + {return __x.__nd_ == __y.__nd_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const param_type& __x, const param_type& __y) + {return !(__x == __y);} + friend class lognormal_distribution; + + template <class _CharT, class _Traits, class _RT> + friend + basic_ostream<_CharT, _Traits>& + operator<<(basic_ostream<_CharT, _Traits>& __os, + const lognormal_distribution<_RT>& __x); + + template <class _CharT, class _Traits, class _RT> + friend + basic_istream<_CharT, _Traits>& + operator>>(basic_istream<_CharT, _Traits>& __is, + lognormal_distribution<_RT>& __x); + }; + +private: + param_type __p_; + +public: + // constructor and reset functions + _LIBCPP_INLINE_VISIBILITY + explicit lognormal_distribution(result_type __m = 0, result_type __s = 1) + : __p_(param_type(__m, __s)) {} + _LIBCPP_INLINE_VISIBILITY + explicit lognormal_distribution(const param_type& __p) + : __p_(__p) {} + _LIBCPP_INLINE_VISIBILITY + void reset() {__p_.__nd_.reset();} + + // generating functions + template<class _URNG> + _LIBCPP_INLINE_VISIBILITY + result_type operator()(_URNG& __g) + {return (*this)(__g, __p_);} + template<class _URNG> + _LIBCPP_INLINE_VISIBILITY + result_type operator()(_URNG& __g, const param_type& __p) + {return _VSTD::exp(const_cast<normal_distribution<result_type>&>(__p.__nd_)(__g));} + + // property functions + _LIBCPP_INLINE_VISIBILITY + result_type m() const {return __p_.m();} + _LIBCPP_INLINE_VISIBILITY + result_type s() const {return __p_.s();} + + _LIBCPP_INLINE_VISIBILITY + param_type param() const {return __p_;} + _LIBCPP_INLINE_VISIBILITY + void param(const param_type& __p) {__p_ = __p;} + + _LIBCPP_INLINE_VISIBILITY + result_type min() const {return 0;} + _LIBCPP_INLINE_VISIBILITY + result_type max() const {return numeric_limits<result_type>::infinity();} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const lognormal_distribution& __x, + const lognormal_distribution& __y) + {return __x.__p_ == __y.__p_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const lognormal_distribution& __x, + const lognormal_distribution& __y) + {return !(__x == __y);} + + template <class _CharT, class _Traits, class _RT> + friend + basic_ostream<_CharT, _Traits>& + operator<<(basic_ostream<_CharT, _Traits>& __os, + const lognormal_distribution<_RT>& __x); + + template <class _CharT, class _Traits, class _RT> + friend + basic_istream<_CharT, _Traits>& + operator>>(basic_istream<_CharT, _Traits>& __is, + lognormal_distribution<_RT>& __x); +}; + +template <class _CharT, class _Traits, class _RT> +inline _LIBCPP_INLINE_VISIBILITY +basic_ostream<_CharT, _Traits>& +operator<<(basic_ostream<_CharT, _Traits>& __os, + const lognormal_distribution<_RT>& __x) +{ + return __os << __x.__p_.__nd_; +} + +template <class _CharT, class _Traits, class _RT> +inline _LIBCPP_INLINE_VISIBILITY +basic_istream<_CharT, _Traits>& +operator>>(basic_istream<_CharT, _Traits>& __is, + lognormal_distribution<_RT>& __x) +{ + return __is >> __x.__p_.__nd_; +} + +// poisson_distribution + +template<class _IntType = int> +class _LIBCPP_TEMPLATE_VIS poisson_distribution +{ +public: + // types + typedef _IntType result_type; + + class _LIBCPP_TEMPLATE_VIS param_type + { + double __mean_; + double __s_; + double __d_; + double __l_; + double __omega_; + double __c0_; + double __c1_; + double __c2_; + double __c3_; + double __c_; + + public: + typedef poisson_distribution distribution_type; + + explicit param_type(double __mean = 1.0); + + _LIBCPP_INLINE_VISIBILITY + double mean() const {return __mean_;} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const param_type& __x, const param_type& __y) + {return __x.__mean_ == __y.__mean_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const param_type& __x, const param_type& __y) + {return !(__x == __y);} + + friend class poisson_distribution; + }; + +private: + param_type __p_; + +public: + // constructors and reset functions + _LIBCPP_INLINE_VISIBILITY + explicit poisson_distribution(double __mean = 1.0) : __p_(__mean) {} + _LIBCPP_INLINE_VISIBILITY + explicit poisson_distribution(const param_type& __p) : __p_(__p) {} + _LIBCPP_INLINE_VISIBILITY + void reset() {} + + // generating functions + template<class _URNG> + _LIBCPP_INLINE_VISIBILITY + result_type operator()(_URNG& __g) + {return (*this)(__g, __p_);} + template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); + + // property functions + _LIBCPP_INLINE_VISIBILITY + double mean() const {return __p_.mean();} + + _LIBCPP_INLINE_VISIBILITY + param_type param() const {return __p_;} + _LIBCPP_INLINE_VISIBILITY + void param(const param_type& __p) {__p_ = __p;} + + _LIBCPP_INLINE_VISIBILITY + result_type min() const {return 0;} + _LIBCPP_INLINE_VISIBILITY + result_type max() const {return numeric_limits<result_type>::max();} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const poisson_distribution& __x, + const poisson_distribution& __y) + {return __x.__p_ == __y.__p_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const poisson_distribution& __x, + const poisson_distribution& __y) + {return !(__x == __y);} +}; + +template<class _IntType> +poisson_distribution<_IntType>::param_type::param_type(double __mean) + : __mean_(__mean) +{ + if (__mean_ < 10) + { + __s_ = 0; + __d_ = 0; + __l_ = _VSTD::exp(-__mean_); + __omega_ = 0; + __c3_ = 0; + __c2_ = 0; + __c1_ = 0; + __c0_ = 0; + __c_ = 0; + } + else + { + __s_ = _VSTD::sqrt(__mean_); + __d_ = 6 * __mean_ * __mean_; + __l_ = static_cast<result_type>(__mean_ - 1.1484); + __omega_ = .3989423 / __s_; + double __b1_ = .4166667E-1 / __mean_; + double __b2_ = .3 * __b1_ * __b1_; + __c3_ = .1428571 * __b1_ * __b2_; + __c2_ = __b2_ - 15. * __c3_; + __c1_ = __b1_ - 6. * __b2_ + 45. * __c3_; + __c0_ = 1. - __b1_ + 3. * __b2_ - 15. * __c3_; + __c_ = .1069 / __mean_; + } +} + +template <class _IntType> +template<class _URNG> +_IntType +poisson_distribution<_IntType>::operator()(_URNG& __urng, const param_type& __pr) +{ + result_type __x; + uniform_real_distribution<double> __urd; + if (__pr.__mean_ < 10) + { + __x = 0; + for (double __p = __urd(__urng); __p > __pr.__l_; ++__x) + __p *= __urd(__urng); + } + else + { + double __difmuk; + double __g = __pr.__mean_ + __pr.__s_ * normal_distribution<double>()(__urng); + double __u; + if (__g > 0) + { + __x = static_cast<result_type>(__g); + if (__x >= __pr.__l_) + return __x; + __difmuk = __pr.__mean_ - __x; + __u = __urd(__urng); + if (__pr.__d_ * __u >= __difmuk * __difmuk * __difmuk) + return __x; + } + exponential_distribution<double> __edist; + for (bool __using_exp_dist = false; true; __using_exp_dist = true) + { + double __e; + if (__using_exp_dist || __g < 0) + { + double __t; + do + { + __e = __edist(__urng); + __u = __urd(__urng); + __u += __u - 1; + __t = 1.8 + (__u < 0 ? -__e : __e); + } while (__t <= -.6744); + __x = __pr.__mean_ + __pr.__s_ * __t; + __difmuk = __pr.__mean_ - __x; + __using_exp_dist = true; + } + double __px; + double __py; + if (__x < 10) + { + const result_type __fac[] = {1, 1, 2, 6, 24, 120, 720, 5040, + 40320, 362880}; + __px = -__pr.__mean_; + __py = _VSTD::pow(__pr.__mean_, (double)__x) / __fac[__x]; + } + else + { + double __del = .8333333E-1 / __x; + __del -= 4.8 * __del * __del * __del; + double __v = __difmuk / __x; + if (_VSTD::abs(__v) > 0.25) + __px = __x * _VSTD::log(1 + __v) - __difmuk - __del; + else + __px = __x * __v * __v * (((((((.1250060 * __v + -.1384794) * + __v + .1421878) * __v + -.1661269) * __v + .2000118) * + __v + -.2500068) * __v + .3333333) * __v + -.5) - __del; + __py = .3989423 / _VSTD::sqrt(__x); + } + double __r = (0.5 - __difmuk) / __pr.__s_; + double __r2 = __r * __r; + double __fx = -0.5 * __r2; + double __fy = __pr.__omega_ * (((__pr.__c3_ * __r2 + __pr.__c2_) * + __r2 + __pr.__c1_) * __r2 + __pr.__c0_); + if (__using_exp_dist) + { + if (__pr.__c_ * _VSTD::abs(__u) <= __py * _VSTD::exp(__px + __e) - + __fy * _VSTD::exp(__fx + __e)) + break; + } + else + { + if (__fy - __u * __fy <= __py * _VSTD::exp(__px - __fx)) + break; + } + } + } + return __x; +} + +template <class _CharT, class _Traits, class _IntType> +basic_ostream<_CharT, _Traits>& +operator<<(basic_ostream<_CharT, _Traits>& __os, + const poisson_distribution<_IntType>& __x) +{ + __save_flags<_CharT, _Traits> __lx(__os); + __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | + ios_base::scientific); + return __os << __x.mean(); +} + +template <class _CharT, class _Traits, class _IntType> +basic_istream<_CharT, _Traits>& +operator>>(basic_istream<_CharT, _Traits>& __is, + poisson_distribution<_IntType>& __x) +{ + typedef poisson_distribution<_IntType> _Eng; + typedef typename _Eng::param_type param_type; + __save_flags<_CharT, _Traits> __lx(__is); + __is.flags(ios_base::dec | ios_base::skipws); + double __mean; + __is >> __mean; + if (!__is.fail()) + __x.param(param_type(__mean)); + return __is; +} + +// weibull_distribution + +template<class _RealType = double> +class _LIBCPP_TEMPLATE_VIS weibull_distribution +{ +public: + // types + typedef _RealType result_type; + + class _LIBCPP_TEMPLATE_VIS param_type + { + result_type __a_; + result_type __b_; + public: + typedef weibull_distribution distribution_type; + + _LIBCPP_INLINE_VISIBILITY + explicit param_type(result_type __a = 1, result_type __b = 1) + : __a_(__a), __b_(__b) {} + + _LIBCPP_INLINE_VISIBILITY + result_type a() const {return __a_;} + _LIBCPP_INLINE_VISIBILITY + result_type b() const {return __b_;} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const param_type& __x, const param_type& __y) + {return __x.__a_ == __y.__a_ && __x.__b_ == __y.__b_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const param_type& __x, const param_type& __y) + {return !(__x == __y);} + }; + +private: + param_type __p_; + +public: + // constructor and reset functions + _LIBCPP_INLINE_VISIBILITY + explicit weibull_distribution(result_type __a = 1, result_type __b = 1) + : __p_(param_type(__a, __b)) {} + _LIBCPP_INLINE_VISIBILITY + explicit weibull_distribution(const param_type& __p) + : __p_(__p) {} + _LIBCPP_INLINE_VISIBILITY + void reset() {} + + // generating functions + template<class _URNG> + _LIBCPP_INLINE_VISIBILITY + result_type operator()(_URNG& __g) + {return (*this)(__g, __p_);} + template<class _URNG> + _LIBCPP_INLINE_VISIBILITY + result_type operator()(_URNG& __g, const param_type& __p) + {return __p.b() * + _VSTD::pow(exponential_distribution<result_type>()(__g), 1/__p.a());} + + // property functions + _LIBCPP_INLINE_VISIBILITY + result_type a() const {return __p_.a();} + _LIBCPP_INLINE_VISIBILITY + result_type b() const {return __p_.b();} + + _LIBCPP_INLINE_VISIBILITY + param_type param() const {return __p_;} + _LIBCPP_INLINE_VISIBILITY + void param(const param_type& __p) {__p_ = __p;} + + _LIBCPP_INLINE_VISIBILITY + result_type min() const {return 0;} + _LIBCPP_INLINE_VISIBILITY + result_type max() const {return numeric_limits<result_type>::infinity();} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const weibull_distribution& __x, + const weibull_distribution& __y) + {return __x.__p_ == __y.__p_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const weibull_distribution& __x, + const weibull_distribution& __y) + {return !(__x == __y);} +}; + +template <class _CharT, class _Traits, class _RT> +basic_ostream<_CharT, _Traits>& +operator<<(basic_ostream<_CharT, _Traits>& __os, + const weibull_distribution<_RT>& __x) +{ + __save_flags<_CharT, _Traits> __lx(__os); + __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | + ios_base::scientific); + _CharT __sp = __os.widen(' '); + __os.fill(__sp); + __os << __x.a() << __sp << __x.b(); + return __os; +} + +template <class _CharT, class _Traits, class _RT> +basic_istream<_CharT, _Traits>& +operator>>(basic_istream<_CharT, _Traits>& __is, + weibull_distribution<_RT>& __x) +{ + typedef weibull_distribution<_RT> _Eng; + typedef typename _Eng::result_type result_type; + typedef typename _Eng::param_type param_type; + __save_flags<_CharT, _Traits> __lx(__is); + __is.flags(ios_base::dec | ios_base::skipws); + result_type __a; + result_type __b; + __is >> __a >> __b; + if (!__is.fail()) + __x.param(param_type(__a, __b)); + return __is; +} + +template<class _RealType = double> +class _LIBCPP_TEMPLATE_VIS extreme_value_distribution +{ +public: + // types + typedef _RealType result_type; + + class _LIBCPP_TEMPLATE_VIS param_type + { + result_type __a_; + result_type __b_; + public: + typedef extreme_value_distribution distribution_type; + + _LIBCPP_INLINE_VISIBILITY + explicit param_type(result_type __a = 0, result_type __b = 1) + : __a_(__a), __b_(__b) {} + + _LIBCPP_INLINE_VISIBILITY + result_type a() const {return __a_;} + _LIBCPP_INLINE_VISIBILITY + result_type b() const {return __b_;} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const param_type& __x, const param_type& __y) + {return __x.__a_ == __y.__a_ && __x.__b_ == __y.__b_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const param_type& __x, const param_type& __y) + {return !(__x == __y);} + }; + +private: + param_type __p_; + +public: + // constructor and reset functions + _LIBCPP_INLINE_VISIBILITY + explicit extreme_value_distribution(result_type __a = 0, result_type __b = 1) + : __p_(param_type(__a, __b)) {} + _LIBCPP_INLINE_VISIBILITY + explicit extreme_value_distribution(const param_type& __p) + : __p_(__p) {} + _LIBCPP_INLINE_VISIBILITY + void reset() {} + + // generating functions + template<class _URNG> + _LIBCPP_INLINE_VISIBILITY + result_type operator()(_URNG& __g) + {return (*this)(__g, __p_);} + template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); + + // property functions + _LIBCPP_INLINE_VISIBILITY + result_type a() const {return __p_.a();} + _LIBCPP_INLINE_VISIBILITY + result_type b() const {return __p_.b();} + + _LIBCPP_INLINE_VISIBILITY + param_type param() const {return __p_;} + _LIBCPP_INLINE_VISIBILITY + void param(const param_type& __p) {__p_ = __p;} + + _LIBCPP_INLINE_VISIBILITY + result_type min() const {return -numeric_limits<result_type>::infinity();} + _LIBCPP_INLINE_VISIBILITY + result_type max() const {return numeric_limits<result_type>::infinity();} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const extreme_value_distribution& __x, + const extreme_value_distribution& __y) + {return __x.__p_ == __y.__p_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const extreme_value_distribution& __x, + const extreme_value_distribution& __y) + {return !(__x == __y);} +}; + +template<class _RealType> +template<class _URNG> +_RealType +extreme_value_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) +{ + return __p.a() - __p.b() * + _VSTD::log(-_VSTD::log(1-uniform_real_distribution<result_type>()(__g))); +} + +template <class _CharT, class _Traits, class _RT> +basic_ostream<_CharT, _Traits>& +operator<<(basic_ostream<_CharT, _Traits>& __os, + const extreme_value_distribution<_RT>& __x) +{ + __save_flags<_CharT, _Traits> __lx(__os); + __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | + ios_base::scientific); + _CharT __sp = __os.widen(' '); + __os.fill(__sp); + __os << __x.a() << __sp << __x.b(); + return __os; +} + +template <class _CharT, class _Traits, class _RT> +basic_istream<_CharT, _Traits>& +operator>>(basic_istream<_CharT, _Traits>& __is, + extreme_value_distribution<_RT>& __x) +{ + typedef extreme_value_distribution<_RT> _Eng; + typedef typename _Eng::result_type result_type; + typedef typename _Eng::param_type param_type; + __save_flags<_CharT, _Traits> __lx(__is); + __is.flags(ios_base::dec | ios_base::skipws); + result_type __a; + result_type __b; + __is >> __a >> __b; + if (!__is.fail()) + __x.param(param_type(__a, __b)); + return __is; +} + +// gamma_distribution + +template<class _RealType = double> +class _LIBCPP_TEMPLATE_VIS gamma_distribution +{ +public: + // types + typedef _RealType result_type; + + class _LIBCPP_TEMPLATE_VIS param_type + { + result_type __alpha_; + result_type __beta_; + public: + typedef gamma_distribution distribution_type; + + _LIBCPP_INLINE_VISIBILITY + explicit param_type(result_type __alpha = 1, result_type __beta = 1) + : __alpha_(__alpha), __beta_(__beta) {} + + _LIBCPP_INLINE_VISIBILITY + result_type alpha() const {return __alpha_;} + _LIBCPP_INLINE_VISIBILITY + result_type beta() const {return __beta_;} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const param_type& __x, const param_type& __y) + {return __x.__alpha_ == __y.__alpha_ && __x.__beta_ == __y.__beta_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const param_type& __x, const param_type& __y) + {return !(__x == __y);} + }; + +private: + param_type __p_; + +public: + // constructors and reset functions + _LIBCPP_INLINE_VISIBILITY + explicit gamma_distribution(result_type __alpha = 1, result_type __beta = 1) + : __p_(param_type(__alpha, __beta)) {} + _LIBCPP_INLINE_VISIBILITY + explicit gamma_distribution(const param_type& __p) + : __p_(__p) {} + _LIBCPP_INLINE_VISIBILITY + void reset() {} + + // generating functions + template<class _URNG> + _LIBCPP_INLINE_VISIBILITY + result_type operator()(_URNG& __g) + {return (*this)(__g, __p_);} + template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); + + // property functions + _LIBCPP_INLINE_VISIBILITY + result_type alpha() const {return __p_.alpha();} + _LIBCPP_INLINE_VISIBILITY + result_type beta() const {return __p_.beta();} + + _LIBCPP_INLINE_VISIBILITY + param_type param() const {return __p_;} + _LIBCPP_INLINE_VISIBILITY + void param(const param_type& __p) {__p_ = __p;} + + _LIBCPP_INLINE_VISIBILITY + result_type min() const {return 0;} + _LIBCPP_INLINE_VISIBILITY + result_type max() const {return numeric_limits<result_type>::infinity();} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const gamma_distribution& __x, + const gamma_distribution& __y) + {return __x.__p_ == __y.__p_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const gamma_distribution& __x, + const gamma_distribution& __y) + {return !(__x == __y);} +}; + +template <class _RealType> +template<class _URNG> +_RealType +gamma_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) +{ + result_type __a = __p.alpha(); + uniform_real_distribution<result_type> __gen(0, 1); + exponential_distribution<result_type> __egen; + result_type __x; + if (__a == 1) + __x = __egen(__g); + else if (__a > 1) + { + const result_type __b = __a - 1; + const result_type __c = 3 * __a - result_type(0.75); + while (true) + { + const result_type __u = __gen(__g); + const result_type __v = __gen(__g); + const result_type __w = __u * (1 - __u); + if (__w != 0) + { + const result_type __y = _VSTD::sqrt(__c / __w) * + (__u - result_type(0.5)); + __x = __b + __y; + if (__x >= 0) + { + const result_type __z = 64 * __w * __w * __w * __v * __v; + if (__z <= 1 - 2 * __y * __y / __x) + break; + if (_VSTD::log(__z) <= 2 * (__b * _VSTD::log(__x / __b) - __y)) + break; + } + } + } + } + else // __a < 1 + { + while (true) + { + const result_type __u = __gen(__g); + const result_type __es = __egen(__g); + if (__u <= 1 - __a) + { + __x = _VSTD::pow(__u, 1 / __a); + if (__x <= __es) + break; + } + else + { + const result_type __e = -_VSTD::log((1-__u)/__a); + __x = _VSTD::pow(1 - __a + __a * __e, 1 / __a); + if (__x <= __e + __es) + break; + } + } + } + return __x * __p.beta(); +} + +template <class _CharT, class _Traits, class _RT> +basic_ostream<_CharT, _Traits>& +operator<<(basic_ostream<_CharT, _Traits>& __os, + const gamma_distribution<_RT>& __x) +{ + __save_flags<_CharT, _Traits> __lx(__os); + __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | + ios_base::scientific); + _CharT __sp = __os.widen(' '); + __os.fill(__sp); + __os << __x.alpha() << __sp << __x.beta(); + return __os; +} + +template <class _CharT, class _Traits, class _RT> +basic_istream<_CharT, _Traits>& +operator>>(basic_istream<_CharT, _Traits>& __is, + gamma_distribution<_RT>& __x) +{ + typedef gamma_distribution<_RT> _Eng; + typedef typename _Eng::result_type result_type; + typedef typename _Eng::param_type param_type; + __save_flags<_CharT, _Traits> __lx(__is); + __is.flags(ios_base::dec | ios_base::skipws); + result_type __alpha; + result_type __beta; + __is >> __alpha >> __beta; + if (!__is.fail()) + __x.param(param_type(__alpha, __beta)); + return __is; +} + +// negative_binomial_distribution + +template<class _IntType = int> +class _LIBCPP_TEMPLATE_VIS negative_binomial_distribution +{ +public: + // types + typedef _IntType result_type; + + class _LIBCPP_TEMPLATE_VIS param_type + { + result_type __k_; + double __p_; + public: + typedef negative_binomial_distribution distribution_type; + + _LIBCPP_INLINE_VISIBILITY + explicit param_type(result_type __k = 1, double __p = 0.5) + : __k_(__k), __p_(__p) {} + + _LIBCPP_INLINE_VISIBILITY + result_type k() const {return __k_;} + _LIBCPP_INLINE_VISIBILITY + double p() const {return __p_;} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const param_type& __x, const param_type& __y) + {return __x.__k_ == __y.__k_ && __x.__p_ == __y.__p_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const param_type& __x, const param_type& __y) + {return !(__x == __y);} + }; + +private: + param_type __p_; + +public: + // constructor and reset functions + _LIBCPP_INLINE_VISIBILITY + explicit negative_binomial_distribution(result_type __k = 1, double __p = 0.5) + : __p_(__k, __p) {} + _LIBCPP_INLINE_VISIBILITY + explicit negative_binomial_distribution(const param_type& __p) : __p_(__p) {} + _LIBCPP_INLINE_VISIBILITY + void reset() {} + + // generating functions + template<class _URNG> + _LIBCPP_INLINE_VISIBILITY + result_type operator()(_URNG& __g) + {return (*this)(__g, __p_);} + template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); + + // property functions + _LIBCPP_INLINE_VISIBILITY + result_type k() const {return __p_.k();} + _LIBCPP_INLINE_VISIBILITY + double p() const {return __p_.p();} + + _LIBCPP_INLINE_VISIBILITY + param_type param() const {return __p_;} + _LIBCPP_INLINE_VISIBILITY + void param(const param_type& __p) {__p_ = __p;} + + _LIBCPP_INLINE_VISIBILITY + result_type min() const {return 0;} + _LIBCPP_INLINE_VISIBILITY + result_type max() const {return numeric_limits<result_type>::max();} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const negative_binomial_distribution& __x, + const negative_binomial_distribution& __y) + {return __x.__p_ == __y.__p_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const negative_binomial_distribution& __x, + const negative_binomial_distribution& __y) + {return !(__x == __y);} +}; + +template <class _IntType> +template<class _URNG> +_IntType +negative_binomial_distribution<_IntType>::operator()(_URNG& __urng, const param_type& __pr) +{ + result_type __k = __pr.k(); + double __p = __pr.p(); + if (__k <= 21 * __p) + { + bernoulli_distribution __gen(__p); + result_type __f = 0; + result_type __s = 0; + while (__s < __k) + { + if (__gen(__urng)) + ++__s; + else + ++__f; + } + return __f; + } + return poisson_distribution<result_type>(gamma_distribution<double> + (__k, (1-__p)/__p)(__urng))(__urng); +} + +template <class _CharT, class _Traits, class _IntType> +basic_ostream<_CharT, _Traits>& +operator<<(basic_ostream<_CharT, _Traits>& __os, + const negative_binomial_distribution<_IntType>& __x) +{ + __save_flags<_CharT, _Traits> __lx(__os); + __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | + ios_base::scientific); + _CharT __sp = __os.widen(' '); + __os.fill(__sp); + return __os << __x.k() << __sp << __x.p(); +} + +template <class _CharT, class _Traits, class _IntType> +basic_istream<_CharT, _Traits>& +operator>>(basic_istream<_CharT, _Traits>& __is, + negative_binomial_distribution<_IntType>& __x) +{ + typedef negative_binomial_distribution<_IntType> _Eng; + typedef typename _Eng::result_type result_type; + typedef typename _Eng::param_type param_type; + __save_flags<_CharT, _Traits> __lx(__is); + __is.flags(ios_base::dec | ios_base::skipws); + result_type __k; + double __p; + __is >> __k >> __p; + if (!__is.fail()) + __x.param(param_type(__k, __p)); + return __is; +} + +// geometric_distribution + +template<class _IntType = int> +class _LIBCPP_TEMPLATE_VIS geometric_distribution +{ +public: + // types + typedef _IntType result_type; + + class _LIBCPP_TEMPLATE_VIS param_type + { + double __p_; + public: + typedef geometric_distribution distribution_type; + + _LIBCPP_INLINE_VISIBILITY + explicit param_type(double __p = 0.5) : __p_(__p) {} + + _LIBCPP_INLINE_VISIBILITY + double p() const {return __p_;} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const param_type& __x, const param_type& __y) + {return __x.__p_ == __y.__p_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const param_type& __x, const param_type& __y) + {return !(__x == __y);} + }; + +private: + param_type __p_; + +public: + // constructors and reset functions + _LIBCPP_INLINE_VISIBILITY + explicit geometric_distribution(double __p = 0.5) : __p_(__p) {} + _LIBCPP_INLINE_VISIBILITY + explicit geometric_distribution(const param_type& __p) : __p_(__p) {} + _LIBCPP_INLINE_VISIBILITY + void reset() {} + + // generating functions + template<class _URNG> + _LIBCPP_INLINE_VISIBILITY + result_type operator()(_URNG& __g) + {return (*this)(__g, __p_);} + template<class _URNG> + _LIBCPP_INLINE_VISIBILITY + result_type operator()(_URNG& __g, const param_type& __p) + {return negative_binomial_distribution<result_type>(1, __p.p())(__g);} + + // property functions + _LIBCPP_INLINE_VISIBILITY + double p() const {return __p_.p();} + + _LIBCPP_INLINE_VISIBILITY + param_type param() const {return __p_;} + _LIBCPP_INLINE_VISIBILITY + void param(const param_type& __p) {__p_ = __p;} + + _LIBCPP_INLINE_VISIBILITY + result_type min() const {return 0;} + _LIBCPP_INLINE_VISIBILITY + result_type max() const {return numeric_limits<result_type>::max();} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const geometric_distribution& __x, + const geometric_distribution& __y) + {return __x.__p_ == __y.__p_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const geometric_distribution& __x, + const geometric_distribution& __y) + {return !(__x == __y);} +}; + +template <class _CharT, class _Traits, class _IntType> +basic_ostream<_CharT, _Traits>& +operator<<(basic_ostream<_CharT, _Traits>& __os, + const geometric_distribution<_IntType>& __x) +{ + __save_flags<_CharT, _Traits> __lx(__os); + __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | + ios_base::scientific); + return __os << __x.p(); +} + +template <class _CharT, class _Traits, class _IntType> +basic_istream<_CharT, _Traits>& +operator>>(basic_istream<_CharT, _Traits>& __is, + geometric_distribution<_IntType>& __x) +{ + typedef geometric_distribution<_IntType> _Eng; + typedef typename _Eng::param_type param_type; + __save_flags<_CharT, _Traits> __lx(__is); + __is.flags(ios_base::dec | ios_base::skipws); + double __p; + __is >> __p; + if (!__is.fail()) + __x.param(param_type(__p)); + return __is; +} + +// chi_squared_distribution + +template<class _RealType = double> +class _LIBCPP_TEMPLATE_VIS chi_squared_distribution +{ +public: + // types + typedef _RealType result_type; + + class _LIBCPP_TEMPLATE_VIS param_type + { + result_type __n_; + public: + typedef chi_squared_distribution distribution_type; + + _LIBCPP_INLINE_VISIBILITY + explicit param_type(result_type __n = 1) : __n_(__n) {} + + _LIBCPP_INLINE_VISIBILITY + result_type n() const {return __n_;} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const param_type& __x, const param_type& __y) + {return __x.__n_ == __y.__n_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const param_type& __x, const param_type& __y) + {return !(__x == __y);} + }; + +private: + param_type __p_; + +public: + // constructor and reset functions + _LIBCPP_INLINE_VISIBILITY + explicit chi_squared_distribution(result_type __n = 1) + : __p_(param_type(__n)) {} + _LIBCPP_INLINE_VISIBILITY + explicit chi_squared_distribution(const param_type& __p) + : __p_(__p) {} + _LIBCPP_INLINE_VISIBILITY + void reset() {} + + // generating functions + template<class _URNG> + _LIBCPP_INLINE_VISIBILITY + result_type operator()(_URNG& __g) + {return (*this)(__g, __p_);} + template<class _URNG> + _LIBCPP_INLINE_VISIBILITY + result_type operator()(_URNG& __g, const param_type& __p) + {return gamma_distribution<result_type>(__p.n() / 2, 2)(__g);} + + // property functions + _LIBCPP_INLINE_VISIBILITY + result_type n() const {return __p_.n();} + + _LIBCPP_INLINE_VISIBILITY + param_type param() const {return __p_;} + _LIBCPP_INLINE_VISIBILITY + void param(const param_type& __p) {__p_ = __p;} + + _LIBCPP_INLINE_VISIBILITY + result_type min() const {return 0;} + _LIBCPP_INLINE_VISIBILITY + result_type max() const {return numeric_limits<result_type>::infinity();} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const chi_squared_distribution& __x, + const chi_squared_distribution& __y) + {return __x.__p_ == __y.__p_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const chi_squared_distribution& __x, + const chi_squared_distribution& __y) + {return !(__x == __y);} +}; + +template <class _CharT, class _Traits, class _RT> +basic_ostream<_CharT, _Traits>& +operator<<(basic_ostream<_CharT, _Traits>& __os, + const chi_squared_distribution<_RT>& __x) +{ + __save_flags<_CharT, _Traits> __lx(__os); + __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | + ios_base::scientific); + __os << __x.n(); + return __os; +} + +template <class _CharT, class _Traits, class _RT> +basic_istream<_CharT, _Traits>& +operator>>(basic_istream<_CharT, _Traits>& __is, + chi_squared_distribution<_RT>& __x) +{ + typedef chi_squared_distribution<_RT> _Eng; + typedef typename _Eng::result_type result_type; + typedef typename _Eng::param_type param_type; + __save_flags<_CharT, _Traits> __lx(__is); + __is.flags(ios_base::dec | ios_base::skipws); + result_type __n; + __is >> __n; + if (!__is.fail()) + __x.param(param_type(__n)); + return __is; +} + +// cauchy_distribution + +template<class _RealType = double> +class _LIBCPP_TEMPLATE_VIS cauchy_distribution +{ +public: + // types + typedef _RealType result_type; + + class _LIBCPP_TEMPLATE_VIS param_type + { + result_type __a_; + result_type __b_; + public: + typedef cauchy_distribution distribution_type; + + _LIBCPP_INLINE_VISIBILITY + explicit param_type(result_type __a = 0, result_type __b = 1) + : __a_(__a), __b_(__b) {} + + _LIBCPP_INLINE_VISIBILITY + result_type a() const {return __a_;} + _LIBCPP_INLINE_VISIBILITY + result_type b() const {return __b_;} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const param_type& __x, const param_type& __y) + {return __x.__a_ == __y.__a_ && __x.__b_ == __y.__b_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const param_type& __x, const param_type& __y) + {return !(__x == __y);} + }; + +private: + param_type __p_; + +public: + // constructor and reset functions + _LIBCPP_INLINE_VISIBILITY + explicit cauchy_distribution(result_type __a = 0, result_type __b = 1) + : __p_(param_type(__a, __b)) {} + _LIBCPP_INLINE_VISIBILITY + explicit cauchy_distribution(const param_type& __p) + : __p_(__p) {} + _LIBCPP_INLINE_VISIBILITY + void reset() {} + + // generating functions + template<class _URNG> + _LIBCPP_INLINE_VISIBILITY + result_type operator()(_URNG& __g) + {return (*this)(__g, __p_);} + template<class _URNG> _LIBCPP_INLINE_VISIBILITY result_type operator()(_URNG& __g, const param_type& __p); + + // property functions + _LIBCPP_INLINE_VISIBILITY + result_type a() const {return __p_.a();} + _LIBCPP_INLINE_VISIBILITY + result_type b() const {return __p_.b();} + + _LIBCPP_INLINE_VISIBILITY + param_type param() const {return __p_;} + _LIBCPP_INLINE_VISIBILITY + void param(const param_type& __p) {__p_ = __p;} + + _LIBCPP_INLINE_VISIBILITY + result_type min() const {return -numeric_limits<result_type>::infinity();} + _LIBCPP_INLINE_VISIBILITY + result_type max() const {return numeric_limits<result_type>::infinity();} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const cauchy_distribution& __x, + const cauchy_distribution& __y) + {return __x.__p_ == __y.__p_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const cauchy_distribution& __x, + const cauchy_distribution& __y) + {return !(__x == __y);} +}; + +template <class _RealType> +template<class _URNG> +inline +_RealType +cauchy_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) +{ + uniform_real_distribution<result_type> __gen; + // purposefully let tan arg get as close to pi/2 as it wants, tan will return a finite + return __p.a() + __p.b() * _VSTD::tan(3.1415926535897932384626433832795 * __gen(__g)); +} + +template <class _CharT, class _Traits, class _RT> +basic_ostream<_CharT, _Traits>& +operator<<(basic_ostream<_CharT, _Traits>& __os, + const cauchy_distribution<_RT>& __x) +{ + __save_flags<_CharT, _Traits> __lx(__os); + __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | + ios_base::scientific); + _CharT __sp = __os.widen(' '); + __os.fill(__sp); + __os << __x.a() << __sp << __x.b(); + return __os; +} + +template <class _CharT, class _Traits, class _RT> +basic_istream<_CharT, _Traits>& +operator>>(basic_istream<_CharT, _Traits>& __is, + cauchy_distribution<_RT>& __x) +{ + typedef cauchy_distribution<_RT> _Eng; + typedef typename _Eng::result_type result_type; + typedef typename _Eng::param_type param_type; + __save_flags<_CharT, _Traits> __lx(__is); + __is.flags(ios_base::dec | ios_base::skipws); + result_type __a; + result_type __b; + __is >> __a >> __b; + if (!__is.fail()) + __x.param(param_type(__a, __b)); + return __is; +} + +// fisher_f_distribution + +template<class _RealType = double> +class _LIBCPP_TEMPLATE_VIS fisher_f_distribution +{ +public: + // types + typedef _RealType result_type; + + class _LIBCPP_TEMPLATE_VIS param_type + { + result_type __m_; + result_type __n_; + public: + typedef fisher_f_distribution distribution_type; + + _LIBCPP_INLINE_VISIBILITY + explicit param_type(result_type __m = 1, result_type __n = 1) + : __m_(__m), __n_(__n) {} + + _LIBCPP_INLINE_VISIBILITY + result_type m() const {return __m_;} + _LIBCPP_INLINE_VISIBILITY + result_type n() const {return __n_;} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const param_type& __x, const param_type& __y) + {return __x.__m_ == __y.__m_ && __x.__n_ == __y.__n_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const param_type& __x, const param_type& __y) + {return !(__x == __y);} + }; + +private: + param_type __p_; + +public: + // constructor and reset functions + _LIBCPP_INLINE_VISIBILITY + explicit fisher_f_distribution(result_type __m = 1, result_type __n = 1) + : __p_(param_type(__m, __n)) {} + _LIBCPP_INLINE_VISIBILITY + explicit fisher_f_distribution(const param_type& __p) + : __p_(__p) {} + _LIBCPP_INLINE_VISIBILITY + void reset() {} + + // generating functions + template<class _URNG> + _LIBCPP_INLINE_VISIBILITY + result_type operator()(_URNG& __g) + {return (*this)(__g, __p_);} + template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); + + // property functions + _LIBCPP_INLINE_VISIBILITY + result_type m() const {return __p_.m();} + _LIBCPP_INLINE_VISIBILITY + result_type n() const {return __p_.n();} + + _LIBCPP_INLINE_VISIBILITY + param_type param() const {return __p_;} + _LIBCPP_INLINE_VISIBILITY + void param(const param_type& __p) {__p_ = __p;} + + _LIBCPP_INLINE_VISIBILITY + result_type min() const {return 0;} + _LIBCPP_INLINE_VISIBILITY + result_type max() const {return numeric_limits<result_type>::infinity();} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const fisher_f_distribution& __x, + const fisher_f_distribution& __y) + {return __x.__p_ == __y.__p_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const fisher_f_distribution& __x, + const fisher_f_distribution& __y) + {return !(__x == __y);} +}; + +template <class _RealType> +template<class _URNG> +_RealType +fisher_f_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) +{ + gamma_distribution<result_type> __gdm(__p.m() * result_type(.5)); + gamma_distribution<result_type> __gdn(__p.n() * result_type(.5)); + return __p.n() * __gdm(__g) / (__p.m() * __gdn(__g)); +} + +template <class _CharT, class _Traits, class _RT> +basic_ostream<_CharT, _Traits>& +operator<<(basic_ostream<_CharT, _Traits>& __os, + const fisher_f_distribution<_RT>& __x) +{ + __save_flags<_CharT, _Traits> __lx(__os); + __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | + ios_base::scientific); + _CharT __sp = __os.widen(' '); + __os.fill(__sp); + __os << __x.m() << __sp << __x.n(); + return __os; +} + +template <class _CharT, class _Traits, class _RT> +basic_istream<_CharT, _Traits>& +operator>>(basic_istream<_CharT, _Traits>& __is, + fisher_f_distribution<_RT>& __x) +{ + typedef fisher_f_distribution<_RT> _Eng; + typedef typename _Eng::result_type result_type; + typedef typename _Eng::param_type param_type; + __save_flags<_CharT, _Traits> __lx(__is); + __is.flags(ios_base::dec | ios_base::skipws); + result_type __m; + result_type __n; + __is >> __m >> __n; + if (!__is.fail()) + __x.param(param_type(__m, __n)); + return __is; +} + +// student_t_distribution + +template<class _RealType = double> +class _LIBCPP_TEMPLATE_VIS student_t_distribution +{ +public: + // types + typedef _RealType result_type; + + class _LIBCPP_TEMPLATE_VIS param_type + { + result_type __n_; + public: + typedef student_t_distribution distribution_type; + + _LIBCPP_INLINE_VISIBILITY + explicit param_type(result_type __n = 1) : __n_(__n) {} + + _LIBCPP_INLINE_VISIBILITY + result_type n() const {return __n_;} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const param_type& __x, const param_type& __y) + {return __x.__n_ == __y.__n_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const param_type& __x, const param_type& __y) + {return !(__x == __y);} + }; + +private: + param_type __p_; + normal_distribution<result_type> __nd_; + +public: + // constructor and reset functions + _LIBCPP_INLINE_VISIBILITY + explicit student_t_distribution(result_type __n = 1) + : __p_(param_type(__n)) {} + _LIBCPP_INLINE_VISIBILITY + explicit student_t_distribution(const param_type& __p) + : __p_(__p) {} + _LIBCPP_INLINE_VISIBILITY + void reset() {__nd_.reset();} + + // generating functions + template<class _URNG> + _LIBCPP_INLINE_VISIBILITY + result_type operator()(_URNG& __g) + {return (*this)(__g, __p_);} + template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); + + // property functions + _LIBCPP_INLINE_VISIBILITY + result_type n() const {return __p_.n();} + + _LIBCPP_INLINE_VISIBILITY + param_type param() const {return __p_;} + _LIBCPP_INLINE_VISIBILITY + void param(const param_type& __p) {__p_ = __p;} + + _LIBCPP_INLINE_VISIBILITY + result_type min() const {return -numeric_limits<result_type>::infinity();} + _LIBCPP_INLINE_VISIBILITY + result_type max() const {return numeric_limits<result_type>::infinity();} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const student_t_distribution& __x, + const student_t_distribution& __y) + {return __x.__p_ == __y.__p_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const student_t_distribution& __x, + const student_t_distribution& __y) + {return !(__x == __y);} +}; + +template <class _RealType> +template<class _URNG> +_RealType +student_t_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) +{ + gamma_distribution<result_type> __gd(__p.n() * .5, 2); + return __nd_(__g) * _VSTD::sqrt(__p.n()/__gd(__g)); +} + +template <class _CharT, class _Traits, class _RT> +basic_ostream<_CharT, _Traits>& +operator<<(basic_ostream<_CharT, _Traits>& __os, + const student_t_distribution<_RT>& __x) +{ + __save_flags<_CharT, _Traits> __lx(__os); + __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | + ios_base::scientific); + __os << __x.n(); + return __os; +} + +template <class _CharT, class _Traits, class _RT> +basic_istream<_CharT, _Traits>& +operator>>(basic_istream<_CharT, _Traits>& __is, + student_t_distribution<_RT>& __x) +{ + typedef student_t_distribution<_RT> _Eng; + typedef typename _Eng::result_type result_type; + typedef typename _Eng::param_type param_type; + __save_flags<_CharT, _Traits> __lx(__is); + __is.flags(ios_base::dec | ios_base::skipws); + result_type __n; + __is >> __n; + if (!__is.fail()) + __x.param(param_type(__n)); + return __is; +} + +// discrete_distribution + +template<class _IntType = int> +class _LIBCPP_TEMPLATE_VIS discrete_distribution +{ +public: + // types + typedef _IntType result_type; + + class _LIBCPP_TEMPLATE_VIS param_type + { + vector<double> __p_; + public: + typedef discrete_distribution distribution_type; + + _LIBCPP_INLINE_VISIBILITY + param_type() {} + template<class _InputIterator> + _LIBCPP_INLINE_VISIBILITY + param_type(_InputIterator __f, _InputIterator __l) + : __p_(__f, __l) {__init();} +#ifndef _LIBCPP_CXX03_LANG + _LIBCPP_INLINE_VISIBILITY + param_type(initializer_list<double> __wl) + : __p_(__wl.begin(), __wl.end()) {__init();} +#endif // _LIBCPP_CXX03_LANG + template<class _UnaryOperation> + param_type(size_t __nw, double __xmin, double __xmax, + _UnaryOperation __fw); + + vector<double> probabilities() const; + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const param_type& __x, const param_type& __y) + {return __x.__p_ == __y.__p_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const param_type& __x, const param_type& __y) + {return !(__x == __y);} + + private: + void __init(); + + friend class discrete_distribution; + + template <class _CharT, class _Traits, class _IT> + friend + basic_ostream<_CharT, _Traits>& + operator<<(basic_ostream<_CharT, _Traits>& __os, + const discrete_distribution<_IT>& __x); + + template <class _CharT, class _Traits, class _IT> + friend + basic_istream<_CharT, _Traits>& + operator>>(basic_istream<_CharT, _Traits>& __is, + discrete_distribution<_IT>& __x); + }; + +private: + param_type __p_; + +public: + // constructor and reset functions + _LIBCPP_INLINE_VISIBILITY + discrete_distribution() {} + template<class _InputIterator> + _LIBCPP_INLINE_VISIBILITY + discrete_distribution(_InputIterator __f, _InputIterator __l) + : __p_(__f, __l) {} +#ifndef _LIBCPP_CXX03_LANG + _LIBCPP_INLINE_VISIBILITY + discrete_distribution(initializer_list<double> __wl) + : __p_(__wl) {} +#endif // _LIBCPP_CXX03_LANG + template<class _UnaryOperation> + _LIBCPP_INLINE_VISIBILITY + discrete_distribution(size_t __nw, double __xmin, double __xmax, + _UnaryOperation __fw) + : __p_(__nw, __xmin, __xmax, __fw) {} + _LIBCPP_INLINE_VISIBILITY + explicit discrete_distribution(const param_type& __p) + : __p_(__p) {} + _LIBCPP_INLINE_VISIBILITY + void reset() {} + + // generating functions + template<class _URNG> + _LIBCPP_INLINE_VISIBILITY + result_type operator()(_URNG& __g) + {return (*this)(__g, __p_);} + template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); + + // property functions + _LIBCPP_INLINE_VISIBILITY + vector<double> probabilities() const {return __p_.probabilities();} + + _LIBCPP_INLINE_VISIBILITY + param_type param() const {return __p_;} + _LIBCPP_INLINE_VISIBILITY + void param(const param_type& __p) {__p_ = __p;} + + _LIBCPP_INLINE_VISIBILITY + result_type min() const {return 0;} + _LIBCPP_INLINE_VISIBILITY + result_type max() const {return __p_.__p_.size();} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const discrete_distribution& __x, + const discrete_distribution& __y) + {return __x.__p_ == __y.__p_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const discrete_distribution& __x, + const discrete_distribution& __y) + {return !(__x == __y);} + + template <class _CharT, class _Traits, class _IT> + friend + basic_ostream<_CharT, _Traits>& + operator<<(basic_ostream<_CharT, _Traits>& __os, + const discrete_distribution<_IT>& __x); + + template <class _CharT, class _Traits, class _IT> + friend + basic_istream<_CharT, _Traits>& + operator>>(basic_istream<_CharT, _Traits>& __is, + discrete_distribution<_IT>& __x); +}; + +template<class _IntType> +template<class _UnaryOperation> +discrete_distribution<_IntType>::param_type::param_type(size_t __nw, + double __xmin, + double __xmax, + _UnaryOperation __fw) +{ + if (__nw > 1) + { + __p_.reserve(__nw - 1); + double __d = (__xmax - __xmin) / __nw; + double __d2 = __d / 2; + for (size_t __k = 0; __k < __nw; ++__k) + __p_.push_back(__fw(__xmin + __k * __d + __d2)); + __init(); + } +} + +template<class _IntType> +void +discrete_distribution<_IntType>::param_type::__init() +{ + if (!__p_.empty()) + { + if (__p_.size() > 1) + { + double __s = _VSTD::accumulate(__p_.begin(), __p_.end(), 0.0); + for (_VSTD::vector<double>::iterator __i = __p_.begin(), __e = __p_.end(); + __i < __e; ++__i) + *__i /= __s; + vector<double> __t(__p_.size() - 1); + _VSTD::partial_sum(__p_.begin(), __p_.end() - 1, __t.begin()); + swap(__p_, __t); + } + else + { + __p_.clear(); + __p_.shrink_to_fit(); + } + } +} + +template<class _IntType> +vector<double> +discrete_distribution<_IntType>::param_type::probabilities() const +{ + size_t __n = __p_.size(); + _VSTD::vector<double> __p(__n+1); + _VSTD::adjacent_difference(__p_.begin(), __p_.end(), __p.begin()); + if (__n > 0) + __p[__n] = 1 - __p_[__n-1]; + else + __p[0] = 1; + return __p; +} + +template<class _IntType> +template<class _URNG> +_IntType +discrete_distribution<_IntType>::operator()(_URNG& __g, const param_type& __p) +{ + uniform_real_distribution<double> __gen; + return static_cast<_IntType>( + _VSTD::upper_bound(__p.__p_.begin(), __p.__p_.end(), __gen(__g)) - + __p.__p_.begin()); +} + +template <class _CharT, class _Traits, class _IT> +basic_ostream<_CharT, _Traits>& +operator<<(basic_ostream<_CharT, _Traits>& __os, + const discrete_distribution<_IT>& __x) +{ + __save_flags<_CharT, _Traits> __lx(__os); + __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | + ios_base::scientific); + _CharT __sp = __os.widen(' '); + __os.fill(__sp); + size_t __n = __x.__p_.__p_.size(); + __os << __n; + for (size_t __i = 0; __i < __n; ++__i) + __os << __sp << __x.__p_.__p_[__i]; + return __os; +} + +template <class _CharT, class _Traits, class _IT> +basic_istream<_CharT, _Traits>& +operator>>(basic_istream<_CharT, _Traits>& __is, + discrete_distribution<_IT>& __x) +{ + __save_flags<_CharT, _Traits> __lx(__is); + __is.flags(ios_base::dec | ios_base::skipws); + size_t __n; + __is >> __n; + vector<double> __p(__n); + for (size_t __i = 0; __i < __n; ++__i) + __is >> __p[__i]; + if (!__is.fail()) + swap(__x.__p_.__p_, __p); + return __is; +} + +// piecewise_constant_distribution + +template<class _RealType = double> +class _LIBCPP_TEMPLATE_VIS piecewise_constant_distribution +{ +public: + // types + typedef _RealType result_type; + + class _LIBCPP_TEMPLATE_VIS param_type + { + vector<result_type> __b_; + vector<result_type> __densities_; + vector<result_type> __areas_; + public: + typedef piecewise_constant_distribution distribution_type; + + param_type(); + template<class _InputIteratorB, class _InputIteratorW> + param_type(_InputIteratorB __fB, _InputIteratorB __lB, + _InputIteratorW __fW); +#ifndef _LIBCPP_CXX03_LANG + template<class _UnaryOperation> + param_type(initializer_list<result_type> __bl, _UnaryOperation __fw); +#endif // _LIBCPP_CXX03_LANG + template<class _UnaryOperation> + param_type(size_t __nw, result_type __xmin, result_type __xmax, + _UnaryOperation __fw); + param_type & operator=(const param_type& __rhs); + + _LIBCPP_INLINE_VISIBILITY + vector<result_type> intervals() const {return __b_;} + _LIBCPP_INLINE_VISIBILITY + vector<result_type> densities() const {return __densities_;} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const param_type& __x, const param_type& __y) + {return __x.__densities_ == __y.__densities_ && __x.__b_ == __y.__b_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const param_type& __x, const param_type& __y) + {return !(__x == __y);} + + private: + void __init(); + + friend class piecewise_constant_distribution; + + template <class _CharT, class _Traits, class _RT> + friend + basic_ostream<_CharT, _Traits>& + operator<<(basic_ostream<_CharT, _Traits>& __os, + const piecewise_constant_distribution<_RT>& __x); + + template <class _CharT, class _Traits, class _RT> + friend + basic_istream<_CharT, _Traits>& + operator>>(basic_istream<_CharT, _Traits>& __is, + piecewise_constant_distribution<_RT>& __x); + }; + +private: + param_type __p_; + +public: + // constructor and reset functions + _LIBCPP_INLINE_VISIBILITY + piecewise_constant_distribution() {} + template<class _InputIteratorB, class _InputIteratorW> + _LIBCPP_INLINE_VISIBILITY + piecewise_constant_distribution(_InputIteratorB __fB, + _InputIteratorB __lB, + _InputIteratorW __fW) + : __p_(__fB, __lB, __fW) {} + +#ifndef _LIBCPP_CXX03_LANG + template<class _UnaryOperation> + _LIBCPP_INLINE_VISIBILITY + piecewise_constant_distribution(initializer_list<result_type> __bl, + _UnaryOperation __fw) + : __p_(__bl, __fw) {} +#endif // _LIBCPP_CXX03_LANG + + template<class _UnaryOperation> + _LIBCPP_INLINE_VISIBILITY + piecewise_constant_distribution(size_t __nw, result_type __xmin, + result_type __xmax, _UnaryOperation __fw) + : __p_(__nw, __xmin, __xmax, __fw) {} + + _LIBCPP_INLINE_VISIBILITY + explicit piecewise_constant_distribution(const param_type& __p) + : __p_(__p) {} + + _LIBCPP_INLINE_VISIBILITY + void reset() {} + + // generating functions + template<class _URNG> + _LIBCPP_INLINE_VISIBILITY + result_type operator()(_URNG& __g) + {return (*this)(__g, __p_);} + template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); + + // property functions + _LIBCPP_INLINE_VISIBILITY + vector<result_type> intervals() const {return __p_.intervals();} + _LIBCPP_INLINE_VISIBILITY + vector<result_type> densities() const {return __p_.densities();} + + _LIBCPP_INLINE_VISIBILITY + param_type param() const {return __p_;} + _LIBCPP_INLINE_VISIBILITY + void param(const param_type& __p) {__p_ = __p;} + + _LIBCPP_INLINE_VISIBILITY + result_type min() const {return __p_.__b_.front();} + _LIBCPP_INLINE_VISIBILITY + result_type max() const {return __p_.__b_.back();} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const piecewise_constant_distribution& __x, + const piecewise_constant_distribution& __y) + {return __x.__p_ == __y.__p_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const piecewise_constant_distribution& __x, + const piecewise_constant_distribution& __y) + {return !(__x == __y);} + + template <class _CharT, class _Traits, class _RT> + friend + basic_ostream<_CharT, _Traits>& + operator<<(basic_ostream<_CharT, _Traits>& __os, + const piecewise_constant_distribution<_RT>& __x); + + template <class _CharT, class _Traits, class _RT> + friend + basic_istream<_CharT, _Traits>& + operator>>(basic_istream<_CharT, _Traits>& __is, + piecewise_constant_distribution<_RT>& __x); +}; + +template<class _RealType> +typename piecewise_constant_distribution<_RealType>::param_type & +piecewise_constant_distribution<_RealType>::param_type::operator= + (const param_type& __rhs) +{ +// These can throw + __b_.reserve (__rhs.__b_.size ()); + __densities_.reserve(__rhs.__densities_.size()); + __areas_.reserve (__rhs.__areas_.size()); + +// These can not throw + __b_ = __rhs.__b_; + __densities_ = __rhs.__densities_; + __areas_ = __rhs.__areas_; + return *this; +} + +template<class _RealType> +void +piecewise_constant_distribution<_RealType>::param_type::__init() +{ + // __densities_ contains non-normalized areas + result_type __total_area = _VSTD::accumulate(__densities_.begin(), + __densities_.end(), + result_type()); + for (size_t __i = 0; __i < __densities_.size(); ++__i) + __densities_[__i] /= __total_area; + // __densities_ contains normalized areas + __areas_.assign(__densities_.size(), result_type()); + _VSTD::partial_sum(__densities_.begin(), __densities_.end() - 1, + __areas_.begin() + 1); + // __areas_ contains partial sums of normalized areas: [0, __densities_ - 1] + __densities_.back() = 1 - __areas_.back(); // correct round off error + for (size_t __i = 0; __i < __densities_.size(); ++__i) + __densities_[__i] /= (__b_[__i+1] - __b_[__i]); + // __densities_ now contains __densities_ +} + +template<class _RealType> +piecewise_constant_distribution<_RealType>::param_type::param_type() + : __b_(2), + __densities_(1, 1.0), + __areas_(1, 0.0) +{ + __b_[1] = 1; +} + +template<class _RealType> +template<class _InputIteratorB, class _InputIteratorW> +piecewise_constant_distribution<_RealType>::param_type::param_type( + _InputIteratorB __fB, _InputIteratorB __lB, _InputIteratorW __fW) + : __b_(__fB, __lB) +{ + if (__b_.size() < 2) + { + __b_.resize(2); + __b_[0] = 0; + __b_[1] = 1; + __densities_.assign(1, 1.0); + __areas_.assign(1, 0.0); + } + else + { + __densities_.reserve(__b_.size() - 1); + for (size_t __i = 0; __i < __b_.size() - 1; ++__i, ++__fW) + __densities_.push_back(*__fW); + __init(); + } +} + +#ifndef _LIBCPP_CXX03_LANG + +template<class _RealType> +template<class _UnaryOperation> +piecewise_constant_distribution<_RealType>::param_type::param_type( + initializer_list<result_type> __bl, _UnaryOperation __fw) + : __b_(__bl.begin(), __bl.end()) +{ + if (__b_.size() < 2) + { + __b_.resize(2); + __b_[0] = 0; + __b_[1] = 1; + __densities_.assign(1, 1.0); + __areas_.assign(1, 0.0); + } + else + { + __densities_.reserve(__b_.size() - 1); + for (size_t __i = 0; __i < __b_.size() - 1; ++__i) + __densities_.push_back(__fw((__b_[__i+1] + __b_[__i])*.5)); + __init(); + } +} + +#endif // _LIBCPP_CXX03_LANG + +template<class _RealType> +template<class _UnaryOperation> +piecewise_constant_distribution<_RealType>::param_type::param_type( + size_t __nw, result_type __xmin, result_type __xmax, _UnaryOperation __fw) + : __b_(__nw == 0 ? 2 : __nw + 1) +{ + size_t __n = __b_.size() - 1; + result_type __d = (__xmax - __xmin) / __n; + __densities_.reserve(__n); + for (size_t __i = 0; __i < __n; ++__i) + { + __b_[__i] = __xmin + __i * __d; + __densities_.push_back(__fw(__b_[__i] + __d*.5)); + } + __b_[__n] = __xmax; + __init(); +} + +template<class _RealType> +template<class _URNG> +_RealType +piecewise_constant_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) +{ + typedef uniform_real_distribution<result_type> _Gen; + result_type __u = _Gen()(__g); + ptrdiff_t __k = _VSTD::upper_bound(__p.__areas_.begin(), __p.__areas_.end(), + __u) - __p.__areas_.begin() - 1; + return (__u - __p.__areas_[__k]) / __p.__densities_[__k] + __p.__b_[__k]; +} + +template <class _CharT, class _Traits, class _RT> +basic_ostream<_CharT, _Traits>& +operator<<(basic_ostream<_CharT, _Traits>& __os, + const piecewise_constant_distribution<_RT>& __x) +{ + __save_flags<_CharT, _Traits> __lx(__os); + __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | + ios_base::scientific); + _CharT __sp = __os.widen(' '); + __os.fill(__sp); + size_t __n = __x.__p_.__b_.size(); + __os << __n; + for (size_t __i = 0; __i < __n; ++__i) + __os << __sp << __x.__p_.__b_[__i]; + __n = __x.__p_.__densities_.size(); + __os << __sp << __n; + for (size_t __i = 0; __i < __n; ++__i) + __os << __sp << __x.__p_.__densities_[__i]; + __n = __x.__p_.__areas_.size(); + __os << __sp << __n; + for (size_t __i = 0; __i < __n; ++__i) + __os << __sp << __x.__p_.__areas_[__i]; + return __os; +} + +template <class _CharT, class _Traits, class _RT> +basic_istream<_CharT, _Traits>& +operator>>(basic_istream<_CharT, _Traits>& __is, + piecewise_constant_distribution<_RT>& __x) +{ + typedef piecewise_constant_distribution<_RT> _Eng; + typedef typename _Eng::result_type result_type; + __save_flags<_CharT, _Traits> __lx(__is); + __is.flags(ios_base::dec | ios_base::skipws); + size_t __n; + __is >> __n; + vector<result_type> __b(__n); + for (size_t __i = 0; __i < __n; ++__i) + __is >> __b[__i]; + __is >> __n; + vector<result_type> __densities(__n); + for (size_t __i = 0; __i < __n; ++__i) + __is >> __densities[__i]; + __is >> __n; + vector<result_type> __areas(__n); + for (size_t __i = 0; __i < __n; ++__i) + __is >> __areas[__i]; + if (!__is.fail()) + { + swap(__x.__p_.__b_, __b); + swap(__x.__p_.__densities_, __densities); + swap(__x.__p_.__areas_, __areas); + } + return __is; +} + +// piecewise_linear_distribution + +template<class _RealType = double> +class _LIBCPP_TEMPLATE_VIS piecewise_linear_distribution +{ +public: + // types + typedef _RealType result_type; + + class _LIBCPP_TEMPLATE_VIS param_type + { + vector<result_type> __b_; + vector<result_type> __densities_; + vector<result_type> __areas_; + public: + typedef piecewise_linear_distribution distribution_type; + + param_type(); + template<class _InputIteratorB, class _InputIteratorW> + param_type(_InputIteratorB __fB, _InputIteratorB __lB, + _InputIteratorW __fW); +#ifndef _LIBCPP_CXX03_LANG + template<class _UnaryOperation> + param_type(initializer_list<result_type> __bl, _UnaryOperation __fw); +#endif // _LIBCPP_CXX03_LANG + template<class _UnaryOperation> + param_type(size_t __nw, result_type __xmin, result_type __xmax, + _UnaryOperation __fw); + param_type & operator=(const param_type& __rhs); + + _LIBCPP_INLINE_VISIBILITY + vector<result_type> intervals() const {return __b_;} + _LIBCPP_INLINE_VISIBILITY + vector<result_type> densities() const {return __densities_;} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const param_type& __x, const param_type& __y) + {return __x.__densities_ == __y.__densities_ && __x.__b_ == __y.__b_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const param_type& __x, const param_type& __y) + {return !(__x == __y);} + + private: + void __init(); + + friend class piecewise_linear_distribution; + + template <class _CharT, class _Traits, class _RT> + friend + basic_ostream<_CharT, _Traits>& + operator<<(basic_ostream<_CharT, _Traits>& __os, + const piecewise_linear_distribution<_RT>& __x); + + template <class _CharT, class _Traits, class _RT> + friend + basic_istream<_CharT, _Traits>& + operator>>(basic_istream<_CharT, _Traits>& __is, + piecewise_linear_distribution<_RT>& __x); + }; + +private: + param_type __p_; + +public: + // constructor and reset functions + _LIBCPP_INLINE_VISIBILITY + piecewise_linear_distribution() {} + template<class _InputIteratorB, class _InputIteratorW> + _LIBCPP_INLINE_VISIBILITY + piecewise_linear_distribution(_InputIteratorB __fB, + _InputIteratorB __lB, + _InputIteratorW __fW) + : __p_(__fB, __lB, __fW) {} + +#ifndef _LIBCPP_CXX03_LANG + template<class _UnaryOperation> + _LIBCPP_INLINE_VISIBILITY + piecewise_linear_distribution(initializer_list<result_type> __bl, + _UnaryOperation __fw) + : __p_(__bl, __fw) {} +#endif // _LIBCPP_CXX03_LANG + + template<class _UnaryOperation> + _LIBCPP_INLINE_VISIBILITY + piecewise_linear_distribution(size_t __nw, result_type __xmin, + result_type __xmax, _UnaryOperation __fw) + : __p_(__nw, __xmin, __xmax, __fw) {} + + _LIBCPP_INLINE_VISIBILITY + explicit piecewise_linear_distribution(const param_type& __p) + : __p_(__p) {} + + _LIBCPP_INLINE_VISIBILITY + void reset() {} + + // generating functions + template<class _URNG> + _LIBCPP_INLINE_VISIBILITY + result_type operator()(_URNG& __g) + {return (*this)(__g, __p_);} + template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); + + // property functions + _LIBCPP_INLINE_VISIBILITY + vector<result_type> intervals() const {return __p_.intervals();} + _LIBCPP_INLINE_VISIBILITY + vector<result_type> densities() const {return __p_.densities();} + + _LIBCPP_INLINE_VISIBILITY + param_type param() const {return __p_;} + _LIBCPP_INLINE_VISIBILITY + void param(const param_type& __p) {__p_ = __p;} + + _LIBCPP_INLINE_VISIBILITY + result_type min() const {return __p_.__b_.front();} + _LIBCPP_INLINE_VISIBILITY + result_type max() const {return __p_.__b_.back();} + + friend _LIBCPP_INLINE_VISIBILITY + bool operator==(const piecewise_linear_distribution& __x, + const piecewise_linear_distribution& __y) + {return __x.__p_ == __y.__p_;} + friend _LIBCPP_INLINE_VISIBILITY + bool operator!=(const piecewise_linear_distribution& __x, + const piecewise_linear_distribution& __y) + {return !(__x == __y);} + + template <class _CharT, class _Traits, class _RT> + friend + basic_ostream<_CharT, _Traits>& + operator<<(basic_ostream<_CharT, _Traits>& __os, + const piecewise_linear_distribution<_RT>& __x); + + template <class _CharT, class _Traits, class _RT> + friend + basic_istream<_CharT, _Traits>& + operator>>(basic_istream<_CharT, _Traits>& __is, + piecewise_linear_distribution<_RT>& __x); +}; + +template<class _RealType> +typename piecewise_linear_distribution<_RealType>::param_type & +piecewise_linear_distribution<_RealType>::param_type::operator= + (const param_type& __rhs) +{ +// These can throw + __b_.reserve (__rhs.__b_.size ()); + __densities_.reserve(__rhs.__densities_.size()); + __areas_.reserve (__rhs.__areas_.size()); + +// These can not throw + __b_ = __rhs.__b_; + __densities_ = __rhs.__densities_; + __areas_ = __rhs.__areas_; + return *this; +} + + +template<class _RealType> +void +piecewise_linear_distribution<_RealType>::param_type::__init() +{ + __areas_.assign(__densities_.size() - 1, result_type()); + result_type _Sp = 0; + for (size_t __i = 0; __i < __areas_.size(); ++__i) + { + __areas_[__i] = (__densities_[__i+1] + __densities_[__i]) * + (__b_[__i+1] - __b_[__i]) * .5; + _Sp += __areas_[__i]; + } + for (size_t __i = __areas_.size(); __i > 1;) + { + --__i; + __areas_[__i] = __areas_[__i-1] / _Sp; + } + __areas_[0] = 0; + for (size_t __i = 1; __i < __areas_.size(); ++__i) + __areas_[__i] += __areas_[__i-1]; + for (size_t __i = 0; __i < __densities_.size(); ++__i) + __densities_[__i] /= _Sp; +} + +template<class _RealType> +piecewise_linear_distribution<_RealType>::param_type::param_type() + : __b_(2), + __densities_(2, 1.0), + __areas_(1, 0.0) +{ + __b_[1] = 1; +} + +template<class _RealType> +template<class _InputIteratorB, class _InputIteratorW> +piecewise_linear_distribution<_RealType>::param_type::param_type( + _InputIteratorB __fB, _InputIteratorB __lB, _InputIteratorW __fW) + : __b_(__fB, __lB) +{ + if (__b_.size() < 2) + { + __b_.resize(2); + __b_[0] = 0; + __b_[1] = 1; + __densities_.assign(2, 1.0); + __areas_.assign(1, 0.0); + } + else + { + __densities_.reserve(__b_.size()); + for (size_t __i = 0; __i < __b_.size(); ++__i, ++__fW) + __densities_.push_back(*__fW); + __init(); + } +} + +#ifndef _LIBCPP_CXX03_LANG + +template<class _RealType> +template<class _UnaryOperation> +piecewise_linear_distribution<_RealType>::param_type::param_type( + initializer_list<result_type> __bl, _UnaryOperation __fw) + : __b_(__bl.begin(), __bl.end()) +{ + if (__b_.size() < 2) + { + __b_.resize(2); + __b_[0] = 0; + __b_[1] = 1; + __densities_.assign(2, 1.0); + __areas_.assign(1, 0.0); + } + else + { + __densities_.reserve(__b_.size()); + for (size_t __i = 0; __i < __b_.size(); ++__i) + __densities_.push_back(__fw(__b_[__i])); + __init(); + } +} + +#endif // _LIBCPP_CXX03_LANG + +template<class _RealType> +template<class _UnaryOperation> +piecewise_linear_distribution<_RealType>::param_type::param_type( + size_t __nw, result_type __xmin, result_type __xmax, _UnaryOperation __fw) + : __b_(__nw == 0 ? 2 : __nw + 1) +{ + size_t __n = __b_.size() - 1; + result_type __d = (__xmax - __xmin) / __n; + __densities_.reserve(__b_.size()); + for (size_t __i = 0; __i < __n; ++__i) + { + __b_[__i] = __xmin + __i * __d; + __densities_.push_back(__fw(__b_[__i])); + } + __b_[__n] = __xmax; + __densities_.push_back(__fw(__b_[__n])); + __init(); +} + +template<class _RealType> +template<class _URNG> +_RealType +piecewise_linear_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) +{ + typedef uniform_real_distribution<result_type> _Gen; + result_type __u = _Gen()(__g); + ptrdiff_t __k = _VSTD::upper_bound(__p.__areas_.begin(), __p.__areas_.end(), + __u) - __p.__areas_.begin() - 1; + __u -= __p.__areas_[__k]; + const result_type __dk = __p.__densities_[__k]; + const result_type __dk1 = __p.__densities_[__k+1]; + const result_type __deltad = __dk1 - __dk; + const result_type __bk = __p.__b_[__k]; + if (__deltad == 0) + return __u / __dk + __bk; + const result_type __bk1 = __p.__b_[__k+1]; + const result_type __deltab = __bk1 - __bk; + return (__bk * __dk1 - __bk1 * __dk + + _VSTD::sqrt(__deltab * (__deltab * __dk * __dk + 2 * __deltad * __u))) / + __deltad; +} + +template <class _CharT, class _Traits, class _RT> +basic_ostream<_CharT, _Traits>& +operator<<(basic_ostream<_CharT, _Traits>& __os, + const piecewise_linear_distribution<_RT>& __x) +{ + __save_flags<_CharT, _Traits> __lx(__os); + __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | + ios_base::scientific); + _CharT __sp = __os.widen(' '); + __os.fill(__sp); + size_t __n = __x.__p_.__b_.size(); + __os << __n; + for (size_t __i = 0; __i < __n; ++__i) + __os << __sp << __x.__p_.__b_[__i]; + __n = __x.__p_.__densities_.size(); + __os << __sp << __n; + for (size_t __i = 0; __i < __n; ++__i) + __os << __sp << __x.__p_.__densities_[__i]; + __n = __x.__p_.__areas_.size(); + __os << __sp << __n; + for (size_t __i = 0; __i < __n; ++__i) + __os << __sp << __x.__p_.__areas_[__i]; + return __os; +} + +template <class _CharT, class _Traits, class _RT> +basic_istream<_CharT, _Traits>& +operator>>(basic_istream<_CharT, _Traits>& __is, + piecewise_linear_distribution<_RT>& __x) +{ + typedef piecewise_linear_distribution<_RT> _Eng; + typedef typename _Eng::result_type result_type; + __save_flags<_CharT, _Traits> __lx(__is); + __is.flags(ios_base::dec | ios_base::skipws); + size_t __n; + __is >> __n; + vector<result_type> __b(__n); + for (size_t __i = 0; __i < __n; ++__i) + __is >> __b[__i]; + __is >> __n; + vector<result_type> __densities(__n); + for (size_t __i = 0; __i < __n; ++__i) + __is >> __densities[__i]; + __is >> __n; + vector<result_type> __areas(__n); + for (size_t __i = 0; __i < __n; ++__i) + __is >> __areas[__i]; + if (!__is.fail()) + { + swap(__x.__p_.__b_, __b); + swap(__x.__p_.__densities_, __densities); + swap(__x.__p_.__areas_, __areas); + } + return __is; +} + +_LIBCPP_END_NAMESPACE_STD + +_LIBCPP_POP_MACROS + +#endif // _LIBCPP_RANDOM |