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1//===----------------------------------------------------------------------===//2//3// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.4// See https://llvm.org/LICENSE.txt for license information.5// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception6//7//===----------------------------------------------------------------------===//8 9#ifndef _LIBCPP___RANDOM_NORMAL_DISTRIBUTION_H10#define _LIBCPP___RANDOM_NORMAL_DISTRIBUTION_H11 12#include <__config>13#include <__random/is_valid.h>14#include <__random/uniform_real_distribution.h>15#include <cmath>16#include <iosfwd>17#include <limits>18 19#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)20#  pragma GCC system_header21#endif22 23_LIBCPP_PUSH_MACROS24#include <__undef_macros>25 26_LIBCPP_BEGIN_NAMESPACE_STD27 28template <class _RealType = double>29class normal_distribution {30  static_assert(__libcpp_random_is_valid_realtype<_RealType>::value,31                "RealType must be a supported floating-point type");32 33public:34  // types35  typedef _RealType result_type;36 37  class param_type {38    result_type __mean_;39    result_type __stddev_;40 41  public:42    typedef normal_distribution distribution_type;43 44    _LIBCPP_HIDE_FROM_ABI explicit param_type(result_type __mean = 0, result_type __stddev = 1)45        : __mean_(__mean), __stddev_(__stddev) {}46 47    _LIBCPP_HIDE_FROM_ABI result_type mean() const { return __mean_; }48    _LIBCPP_HIDE_FROM_ABI result_type stddev() const { return __stddev_; }49 50    friend _LIBCPP_HIDE_FROM_ABI bool operator==(const param_type& __x, const param_type& __y) {51      return __x.__mean_ == __y.__mean_ && __x.__stddev_ == __y.__stddev_;52    }53    friend _LIBCPP_HIDE_FROM_ABI bool operator!=(const param_type& __x, const param_type& __y) { return !(__x == __y); }54  };55 56private:57  param_type __p_;58  result_type __v_;59  bool __v_hot_;60 61public:62  // constructors and reset functions63#ifndef _LIBCPP_CXX03_LANG64  _LIBCPP_HIDE_FROM_ABI normal_distribution() : normal_distribution(0) {}65  _LIBCPP_HIDE_FROM_ABI explicit normal_distribution(result_type __mean, result_type __stddev = 1)66      : __p_(param_type(__mean, __stddev)), __v_hot_(false) {}67#else68  _LIBCPP_HIDE_FROM_ABI explicit normal_distribution(result_type __mean = 0, result_type __stddev = 1)69      : __p_(param_type(__mean, __stddev)), __v_hot_(false) {}70#endif71  _LIBCPP_HIDE_FROM_ABI explicit normal_distribution(const param_type& __p) : __p_(__p), __v_hot_(false) {}72  _LIBCPP_HIDE_FROM_ABI void reset() { __v_hot_ = false; }73 74  // generating functions75  template <class _URNG>76  _LIBCPP_HIDE_FROM_ABI result_type operator()(_URNG& __g) {77    return (*this)(__g, __p_);78  }79  template <class _URNG>80  _LIBCPP_HIDE_FROM_ABI result_type operator()(_URNG& __g, const param_type& __p);81 82  // property functions83  _LIBCPP_HIDE_FROM_ABI result_type mean() const { return __p_.mean(); }84  _LIBCPP_HIDE_FROM_ABI result_type stddev() const { return __p_.stddev(); }85 86  _LIBCPP_HIDE_FROM_ABI param_type param() const { return __p_; }87  _LIBCPP_HIDE_FROM_ABI void param(const param_type& __p) { __p_ = __p; }88 89  _LIBCPP_HIDE_FROM_ABI result_type min() const { return -numeric_limits<result_type>::infinity(); }90  _LIBCPP_HIDE_FROM_ABI result_type max() const { return numeric_limits<result_type>::infinity(); }91 92  friend _LIBCPP_HIDE_FROM_ABI bool operator==(const normal_distribution& __x, const normal_distribution& __y) {93    return __x.__p_ == __y.__p_ && __x.__v_hot_ == __y.__v_hot_ && (!__x.__v_hot_ || __x.__v_ == __y.__v_);94  }95  friend _LIBCPP_HIDE_FROM_ABI bool operator!=(const normal_distribution& __x, const normal_distribution& __y) {96    return !(__x == __y);97  }98 99  template <class _CharT, class _Traits, class _RT>100  friend basic_ostream<_CharT, _Traits>&101  operator<<(basic_ostream<_CharT, _Traits>& __os, const normal_distribution<_RT>& __x);102 103  template <class _CharT, class _Traits, class _RT>104  friend basic_istream<_CharT, _Traits>&105  operator>>(basic_istream<_CharT, _Traits>& __is, normal_distribution<_RT>& __x);106};107 108template <class _RealType>109template <class _URNG>110_RealType normal_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) {111  static_assert(__libcpp_random_is_valid_urng<_URNG>::value, "");112  result_type __up;113  if (__v_hot_) {114    __v_hot_ = false;115    __up     = __v_;116  } else {117    uniform_real_distribution<result_type> __uni(-1, 1);118    result_type __u;119    result_type __v;120    result_type __s;121    do {122      __u = __uni(__g);123      __v = __uni(__g);124      __s = __u * __u + __v * __v;125    } while (__s > 1 || __s == 0);126    result_type __fp = std::sqrt(-2 * std::log(__s) / __s);127    __v_             = __v * __fp;128    __v_hot_         = true;129    __up             = __u * __fp;130  }131  return __up * __p.stddev() + __p.mean();132}133 134template <class _CharT, class _Traits, class _RT>135_LIBCPP_HIDE_FROM_ABI basic_ostream<_CharT, _Traits>&136operator<<(basic_ostream<_CharT, _Traits>& __os, const normal_distribution<_RT>& __x) {137  __save_flags<_CharT, _Traits> __lx(__os);138  typedef basic_ostream<_CharT, _Traits> _OStream;139  __os.flags(_OStream::dec | _OStream::left | _OStream::fixed | _OStream::scientific);140  _CharT __sp = __os.widen(' ');141  __os.fill(__sp);142  __os << __x.mean() << __sp << __x.stddev() << __sp << __x.__v_hot_;143  if (__x.__v_hot_)144    __os << __sp << __x.__v_;145  return __os;146}147 148template <class _CharT, class _Traits, class _RT>149_LIBCPP_HIDE_FROM_ABI basic_istream<_CharT, _Traits>&150operator>>(basic_istream<_CharT, _Traits>& __is, normal_distribution<_RT>& __x) {151  typedef normal_distribution<_RT> _Eng;152  typedef typename _Eng::result_type result_type;153  typedef typename _Eng::param_type param_type;154  __save_flags<_CharT, _Traits> __lx(__is);155  typedef basic_istream<_CharT, _Traits> _Istream;156  __is.flags(_Istream::dec | _Istream::skipws);157  result_type __mean;158  result_type __stddev;159  result_type __vp = 0;160  bool __v_hot     = false;161  __is >> __mean >> __stddev >> __v_hot;162  if (__v_hot)163    __is >> __vp;164  if (!__is.fail()) {165    __x.param(param_type(__mean, __stddev));166    __x.__v_hot_ = __v_hot;167    __x.__v_     = __vp;168  }169  return __is;170}171 172_LIBCPP_END_NAMESPACE_STD173 174_LIBCPP_POP_MACROS175 176#endif // _LIBCPP___RANDOM_NORMAL_DISTRIBUTION_H177