#include <random.h>

Classes
struct	param_type

Public Types
typedef _IntType	result_type

Public Member Functions
	poisson_distribution (const param_type &__p)

	poisson_distribution (double __mean)

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

double	mean () 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)

param_type	param () const

void	param (const param_type &__param)

void	reset ()

Friends
template<typename _IntType1 , typename _CharT , typename _Traits >
std::basic_ostream< _CharT, _Traits > &	operator<< (std::basic_ostream< _CharT, _Traits > &__os, const std::poisson_distribution< _IntType1 > &__x)

bool	operator== (const poisson_distribution &__d1, const poisson_distribution &__d2)

template<typename _IntType1 , typename _CharT , typename _Traits >
std::basic_istream< _CharT, _Traits > &	operator>> (std::basic_istream< _CharT, _Traits > &__is, std::poisson_distribution< _IntType1 > &__x)

Detailed Description

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

A discrete Poisson random number distribution.

The formula for the Poisson probability density function is $p(i|\mu) = \frac{\mu^i}{i!} e^{-\mu}$ where $\mu$ is the parameter of the distribution.

Definition at line 4424 of file random.h.

Member Typedef Documentation

◆ result_type

template<typename _IntType = int>

typedef _IntType std::poisson_distribution< _IntType >::result_type

The type of the range of the distribution.

Definition at line 4431 of file random.h.

Constructor & Destructor Documentation

◆ poisson_distribution() [1/3]

template<typename _IntType = int>

std::poisson_distribution< _IntType >::poisson_distribution ( )

inline

Definition at line 4476 of file random.h.

◆ poisson_distribution() [2/3]

template<typename _IntType = int>

std::poisson_distribution< _IntType >::poisson_distribution ( double __mean )

inlineexplicit

Definition at line 4479 of file random.h.

◆ poisson_distribution() [3/3]

template<typename _IntType = int>

std::poisson_distribution< _IntType >::poisson_distribution ( const param_type & __p )

inlineexplicit

Definition at line 4484 of file random.h.

Member Function Documentation

◆ __generate() [1/3]

template<typename _IntType = int>

template<typename _ForwardIterator , typename _UniformRandomNumberGenerator >

void std::poisson_distribution< _IntType >::__generate	(	_ForwardIterator	__f,
		_ForwardIterator	__t,
		_UniformRandomNumberGenerator &	__urng
	)

inline

Definition at line 4547 of file random.h.

◆ __generate() [2/3]

template<typename _IntType = int>

template<typename _ForwardIterator , typename _UniformRandomNumberGenerator >

void std::poisson_distribution< _IntType >::__generate	(	_ForwardIterator	__f,
		_ForwardIterator	__t,
		_UniformRandomNumberGenerator &	__urng,
		const param_type &	__p
	)

inline

Definition at line 4554 of file random.h.

◆ __generate() [3/3]

template<typename _IntType = int>

template<typename _UniformRandomNumberGenerator >

void std::poisson_distribution< _IntType >::__generate	(	result_type *	__f,
		result_type *	__t,
		_UniformRandomNumberGenerator &	__urng,
		const param_type &	__p
	)

inline

Definition at line 4561 of file random.h.

◆ max()

template<typename _IntType = int>

result_type std::poisson_distribution< _IntType >::max ( ) const

inline

Returns the least upper bound value of the distribution.

Definition at line 4528 of file random.h.

References std::numeric_limits< _Tp >::max().

◆ mean()

template<typename _IntType = int>

double std::poisson_distribution< _IntType >::mean ( ) const

inline

Returns the distribution parameter mean.

Definition at line 4499 of file random.h.

◆ min()

template<typename _IntType = int>

result_type std::poisson_distribution< _IntType >::min ( ) const

inline

Returns the greatest lower bound value of the distribution.

Definition at line 4521 of file random.h.

◆ operator()() [1/2]

template<typename _IntType = int>

template<typename _UniformRandomNumberGenerator >

result_type std::poisson_distribution< _IntType >::operator() ( _UniformRandomNumberGenerator & __urng )

inline

Generating functions.

Definition at line 4536 of file random.h.

References std::poisson_distribution< _IntType >::operator()().

Referenced by std::poisson_distribution< _IntType >::operator()().

◆ operator()() [2/2]

template<typename _IntType >

template<typename _UniformRandomNumberGenerator >

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

A rejection algorithm when mean >= 12 and a simple method based upon the multiplication of uniform random variates 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, Sects. 3.3 & 3.4 (+ Errata!).

Definition at line 1308 of file bits/random.tcc.

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

◆ param() [1/2]

template<typename _IntType = int>

param_type std::poisson_distribution< _IntType >::param ( ) const

inline

Returns the parameter set of the distribution.

Definition at line 4506 of file random.h.

◆ param() [2/2]

template<typename _IntType = int>

void std::poisson_distribution< _IntType >::param ( const param_type & __param )

inline

Sets the parameter set of the distribution.

Parameters

__param The new parameter set of the distribution.

Definition at line 4514 of file random.h.

◆ reset()

template<typename _IntType = int>

void std::poisson_distribution< _IntType >::reset ( )

inline

Resets the distribution state.

Definition at line 4492 of file random.h.

References std::normal_distribution< _RealType >::reset().

Friends And Related Function Documentation

◆ 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::poisson_distribution< _IntType1 > &	__x
	)

friend

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

Parameters

__os	An output stream.
__x	A poisson_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 poisson_distribution< _IntType > &	__d1,
		const poisson_distribution< _IntType > &	__d2
	)

friend

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

Definition at line 4572 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::poisson_distribution< _IntType1 > &	__x
	)

friend

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

Parameters

__is	An input stream.
__x	A poisson_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:

Classes

Public Types

Public Member Functions

Friends

Detailed Description

Member Typedef Documentation

◆ result_type

Constructor & Destructor Documentation

◆ poisson_distribution() [1/3]

◆ poisson_distribution() [2/3]

◆ poisson_distribution() [3/3]

Member Function Documentation

◆ __generate() [1/3]

◆ __generate() [2/3]

◆ __generate() [3/3]

◆ max()

◆ mean()

◆ min()

◆ operator()() [1/2]

◆ operator()() [2/2]

◆ param() [1/2]

◆ param() [2/2]

◆ reset()

Friends And Related Function Documentation

◆ operator<<

◆ operator==

◆ operator>>