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- //===----------------------------------------------------------------------===//
- //
- // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
- // See https://llvm.org/LICENSE.txt for license information.
- // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
- //
- //===----------------------------------------------------------------------===//
- #ifndef _LIBCPP___RANDOM_BINOMIAL_DISTRIBUTION_H
- #define _LIBCPP___RANDOM_BINOMIAL_DISTRIBUTION_H
- #include <__config>
- #include <__random/is_valid.h>
- #include <__random/uniform_real_distribution.h>
- #include <cmath>
- #include <iosfwd>
- #if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
- # pragma GCC system_header
- #endif
- _LIBCPP_PUSH_MACROS
- #include <__undef_macros>
- _LIBCPP_BEGIN_NAMESPACE_STD
- template <class _IntType = int>
- class _LIBCPP_TEMPLATE_VIS binomial_distribution {
- static_assert(__libcpp_random_is_valid_inttype<_IntType>::value, "IntType must be a supported integer type");
- 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;
- _LIBCPP_HIDE_FROM_ABI explicit param_type(result_type __t = 1, double __p = 0.5);
- _LIBCPP_HIDE_FROM_ABI result_type t() const { return __t_; }
- _LIBCPP_HIDE_FROM_ABI double p() const { return __p_; }
- friend _LIBCPP_HIDE_FROM_ABI bool operator==(const param_type& __x, const param_type& __y) {
- return __x.__t_ == __y.__t_ && __x.__p_ == __y.__p_;
- }
- friend _LIBCPP_HIDE_FROM_ABI 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
- #ifndef _LIBCPP_CXX03_LANG
- _LIBCPP_HIDE_FROM_ABI binomial_distribution() : binomial_distribution(1) {}
- _LIBCPP_HIDE_FROM_ABI explicit binomial_distribution(result_type __t, double __p = 0.5)
- : __p_(param_type(__t, __p)) {}
- #else
- _LIBCPP_HIDE_FROM_ABI explicit binomial_distribution(result_type __t = 1, double __p = 0.5)
- : __p_(param_type(__t, __p)) {}
- #endif
- _LIBCPP_HIDE_FROM_ABI explicit binomial_distribution(const param_type& __p) : __p_(__p) {}
- _LIBCPP_HIDE_FROM_ABI void reset() {}
- // generating functions
- template <class _URNG>
- _LIBCPP_HIDE_FROM_ABI result_type operator()(_URNG& __g) {
- return (*this)(__g, __p_);
- }
- template <class _URNG>
- _LIBCPP_HIDE_FROM_ABI result_type operator()(_URNG& __g, const param_type& __p);
- // property functions
- _LIBCPP_HIDE_FROM_ABI result_type t() const { return __p_.t(); }
- _LIBCPP_HIDE_FROM_ABI double p() const { return __p_.p(); }
- _LIBCPP_HIDE_FROM_ABI param_type param() const { return __p_; }
- _LIBCPP_HIDE_FROM_ABI void param(const param_type& __p) { __p_ = __p; }
- _LIBCPP_HIDE_FROM_ABI result_type min() const { return 0; }
- _LIBCPP_HIDE_FROM_ABI result_type max() const { return t(); }
- friend _LIBCPP_HIDE_FROM_ABI bool operator==(const binomial_distribution& __x, const binomial_distribution& __y) {
- return __x.__p_ == __y.__p_;
- }
- friend _LIBCPP_HIDE_FROM_ABI bool operator!=(const binomial_distribution& __x, const binomial_distribution& __y) {
- return !(__x == __y);
- }
- };
- inline _LIBCPP_HIDE_FROM_ABI double __libcpp_lgamma(double __d) {
- #if defined(_LIBCPP_MSVCRT_LIKE)
- return lgamma(__d);
- #else
- int __sign;
- return lgamma_r(__d, &__sign);
- #endif
- }
- template <class _IntType>
- binomial_distribution<_IntType>::param_type::param_type(result_type __t, double __p) : __t_(__t), __p_(__p) {
- if (0 < __p_ && __p_ < 1) {
- __r0_ = static_cast<result_type>((__t_ + 1) * __p_);
- __pr_ = std::exp(
- std::__libcpp_lgamma(__t_ + 1.) - std::__libcpp_lgamma(__r0_ + 1.) - std::__libcpp_lgamma(__t_ - __r0_ + 1.) +
- __r0_ * std::log(__p_) + (__t_ - __r0_) * std::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) {
- static_assert(__libcpp_random_is_valid_urng<_URNG>::value, "");
- 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) {
- bool __break = true;
- if (__rd >= 1) {
- __pd *= __rd / (__pr.__odds_ratio_ * (__pr.__t_ - __rd + 1));
- __u -= __pd;
- __break = false;
- 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;
- __break = false;
- if (__u < 0)
- return __ru;
- }
- if (__break)
- return 0;
- }
- }
- template <class _CharT, class _Traits, class _IntType>
- _LIBCPP_HIDE_FROM_ABI basic_ostream<_CharT, _Traits>&
- operator<<(basic_ostream<_CharT, _Traits>& __os, const binomial_distribution<_IntType>& __x) {
- __save_flags<_CharT, _Traits> __lx(__os);
- typedef basic_ostream<_CharT, _Traits> _OStream;
- __os.flags(_OStream::dec | _OStream::left | _OStream::fixed | _OStream::scientific);
- _CharT __sp = __os.widen(' ');
- __os.fill(__sp);
- return __os << __x.t() << __sp << __x.p();
- }
- template <class _CharT, class _Traits, class _IntType>
- _LIBCPP_HIDE_FROM_ABI 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);
- typedef basic_istream<_CharT, _Traits> _Istream;
- __is.flags(_Istream::dec | _Istream::skipws);
- result_type __t;
- double __p;
- __is >> __t >> __p;
- if (!__is.fail())
- __x.param(param_type(__t, __p));
- return __is;
- }
- _LIBCPP_END_NAMESPACE_STD
- _LIBCPP_POP_MACROS
- #endif // _LIBCPP___RANDOM_BINOMIAL_DISTRIBUTION_H
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