libstdc++
std::binomial_distribution< _IntType > Class Template Reference
Numerics » Random Number Generation » Random Number Distributions » Bernoulli Distributions

#include <random>

Classes

struct  param_type

Public Types

typedef _IntType result_type

Public Member Functions

 binomial_distribution (_IntType __t, double __p=0.5)
 binomial_distribution (const param_type &__p)
template<typename _ForwardIterator, typename _UniformRandomNumberGenerator>
void __generate (_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator &__urng)
template<typename _ForwardIterator, typename _UniformRandomNumberGenerator>
void __generate (_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator &__urng, const param_type &__p)
template<typename _UniformRandomNumberGenerator>
void __generate (result_type *__f, result_type *__t, _UniformRandomNumberGenerator &__urng, const param_type &__p)
result_type max () const
result_type min () const
template<typename _UniformRandomNumberGenerator>
result_type operator() (_UniformRandomNumberGenerator &__urng)
template<typename _UniformRandomNumberGenerator>
result_type operator() (_UniformRandomNumberGenerator &__urng, const param_type &__p)
double p () const
param_type param () const
void param (const param_type &__param)
void reset ()
_IntType t () const

Friends

template<typename _IntType1, typename _CharT, typename _Traits>
std::basic_ostream< _CharT, _Traits > & operator<< (std::basic_ostream< _CharT, _Traits > &__os, const std::binomial_distribution< _IntType1 > &__x)
bool operator== (const binomial_distribution &__d1, const binomial_distribution &__d2)
template<typename _IntType1, typename _CharT, typename _Traits>
std::basic_istream< _CharT, _Traits > & operator>> (std::basic_istream< _CharT, _Traits > &__is, std::binomial_distribution< _IntType1 > &__x)

Detailed Description

template<typename _IntType = int>
class std::binomial_distribution< _IntType >

A discrete binomial random number distribution.

The formula for the binomial probability density function is $p(i|t,p) = \binom{t}{i} p^i (1 - p)^{t - i}$ where $t$ and $p$ are the parameters of the distribution.

Since
C++11

Definition at line 3851 of file random.h.

Member Typedef Documentation

◆ result_type

template<typename _IntType = int>
typedef _IntType std::binomial_distribution< _IntType >::result_type

The type of the range of the distribution.

Definition at line 3858 of file random.h.

Constructor & Destructor Documentation

◆ binomial_distribution() [1/3]

template<typename _IntType = int>
std::binomial_distribution< _IntType >::binomial_distribution ( )
inline

Definition at line 3913 of file random.h.

◆ binomial_distribution() [2/3]

template<typename _IntType = int>
std::binomial_distribution< _IntType >::binomial_distribution ( _IntType __t,
double __p = 0.5 )
inlineexplicit

Definition at line 3916 of file random.h.

◆ binomial_distribution() [3/3]

template<typename _IntType = int>
std::binomial_distribution< _IntType >::binomial_distribution ( const param_type & __p)
inlineexplicit

Definition at line 3921 of file random.h.

Member Function Documentation

◆ __generate() [1/3]

template<typename _IntType = int>
template<typename _ForwardIterator, typename _UniformRandomNumberGenerator>
void std::binomial_distribution< _IntType >::__generate ( _ForwardIterator __f,
_ForwardIterator __t,
_UniformRandomNumberGenerator & __urng )
inline

Definition at line 3991 of file random.h.

◆ __generate() [2/3]

template<typename _IntType = int>
template<typename _ForwardIterator, typename _UniformRandomNumberGenerator>
void std::binomial_distribution< _IntType >::__generate ( _ForwardIterator __f,
_ForwardIterator __t,
_UniformRandomNumberGenerator & __urng,
const param_type & __p )
inline

Definition at line 3998 of file random.h.

◆ __generate() [3/3]

template<typename _IntType = int>
template<typename _UniformRandomNumberGenerator>
void std::binomial_distribution< _IntType >::__generate ( result_type * __f,
result_type * __t,
_UniformRandomNumberGenerator & __urng,
const param_type & __p )
inline

Definition at line 4005 of file random.h.

◆ max()

template<typename _IntType = int>
result_type std::binomial_distribution< _IntType >::max ( ) const
inline

Returns the least upper bound value of the distribution.

Definition at line 3972 of file random.h.

◆ min()

template<typename _IntType = int>
result_type std::binomial_distribution< _IntType >::min ( ) const
inline

Returns the greatest lower bound value of the distribution.

Definition at line 3965 of file random.h.

◆ operator()() [1/2]

template<typename _IntType = int>
template<typename _UniformRandomNumberGenerator>
result_type std::binomial_distribution< _IntType >::operator() ( _UniformRandomNumberGenerator & __urng)
inline

Generating functions.

Definition at line 3980 of file random.h.

Referenced by operator()().

◆ operator()() [2/2]

template<typename _IntType>
template<typename _UniformRandomNumberGenerator>
binomial_distribution< _IntType >::result_type std::binomial_distribution< _IntType >::operator() ( _UniformRandomNumberGenerator & __urng,
const param_type & __param )

A rejection algorithm when t * p >= 8 and a simple waiting time method - the second in the referenced book - otherwise. NB: The former is available only if _GLIBCXX_USE_C99_MATH_TR1 is defined.

Reference: Devroye, L. Non-Uniform Random Variates Generation. Springer-Verlag, New York, 1986, Ch. X, Sect. 4 (+ Errata!).

Definition at line 1566 of file bits/random.tcc.

References std::abs(), std::numeric_limits< _Tp >::epsilon(), std::log(), and std::numeric_limits< _Tp >::max().

◆ p()

template<typename _IntType = int>
double std::binomial_distribution< _IntType >::p ( ) const
inline

Returns the distribution p parameter.

Definition at line 3943 of file random.h.

◆ param() [1/2]

template<typename _IntType = int>
param_type std::binomial_distribution< _IntType >::param ( ) const
inline

Returns the parameter set of the distribution.

Definition at line 3950 of file random.h.

◆ param() [2/2]

template<typename _IntType = int>
void std::binomial_distribution< _IntType >::param ( const param_type & __param)
inline

Sets the parameter set of the distribution.

Parameters
__paramThe new parameter set of the distribution.

Definition at line 3958 of file random.h.

◆ reset()

template<typename _IntType = int>
void std::binomial_distribution< _IntType >::reset ( )
inline

Resets the distribution state.

Definition at line 3929 of file random.h.

◆ t()

template<typename _IntType = int>
_IntType std::binomial_distribution< _IntType >::t ( ) const
inline

Returns the distribution t parameter.

Definition at line 3936 of file random.h.

◆ operator<<

template<typename _IntType = int>
template<typename _IntType1, typename _CharT, typename _Traits>
std::basic_ostream< _CharT, _Traits > & operator<< ( std::basic_ostream< _CharT, _Traits > & __os,
const std::binomial_distribution< _IntType1 > & __x )
friend

Inserts a binomial_distribution random number distribution __x into the output stream __os.

Parameters
__osAn output stream.
__xA binomial_distribution random number distribution.
Returns
The output stream with the state of __x inserted or in an error state.

◆ operator==

template<typename _IntType = int>
bool operator== ( const binomial_distribution< _IntType > & __d1,
const binomial_distribution< _IntType > & __d2 )
friend

Return true if two binomial distributions have the same parameters and the sequences that would be generated are equal.

Definition at line 4016 of file random.h.

◆ operator>>

template<typename _IntType = int>
template<typename _IntType1, typename _CharT, typename _Traits>
std::basic_istream< _CharT, _Traits > & operator>> ( std::basic_istream< _CharT, _Traits > & __is,
std::binomial_distribution< _IntType1 > & __x )
friend

Extracts a binomial_distribution random number distribution __x from the input stream __is.

Parameters
__isAn input stream.
__xA binomial_distribution random number generator engine.
Returns
The input stream with __x extracted or in an error state.
The documentation for this class was generated from the following files: