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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-exception
  6//
  7//===----------------------------------------------------------------------===//
  8
  9#ifndef _LIBCPP___RANDOM_NORMAL_DISTRIBUTION_H
 10#define _LIBCPP___RANDOM_NORMAL_DISTRIBUTION_H
 11
 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_header
 21#endif
 22
 23_LIBCPP_PUSH_MACROS
 24#include <__undef_macros>
 25
 26_LIBCPP_BEGIN_NAMESPACE_STD
 27
 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  // types
 35  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 functions
 63#ifndef _LIBCPP_CXX03_LANG
 64  _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#else
 68  _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#endif
 71  _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 functions
 75  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 functions
 83  _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_STD
173
174_LIBCPP_POP_MACROS
175
176#endif // _LIBCPP___RANDOM_NORMAL_DISTRIBUTION_H