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std::poisson_distribution< _IntType >(3) Library Functions Manual std::poisson_distribution< _IntType >(3)

NAME

std::poisson_distribution< _IntType > -

SYNOPSIS

Classes


struct param_type

Public Types


typedef _IntType result_type

Public Member Functions


poisson_distribution (double __mean=1.0)
poisson_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
double mean () const
result_type min () const
template<typename _UniformRandomNumberGenerator > poisson_distribution< _IntType >
::result_type operator() (_UniformRandomNumberGenerator &__urng, const param_type &__param)"
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 $p(i|) = ac{^i}{i!} e^{-}$ where $$ is the parameter of the distribution.

Definition at line 4430 of file random.h.

Member Typedef Documentation

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

The type of the range of the distribution.

Definition at line 4433 of file random.h.

Member Function Documentation

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 4524 of file random.h.

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

template<typename _IntType = int> double std::poisson_distribution< _IntType >::mean () const [inline]

Returns the distribution parameter mean.

Definition at line 4495 of file random.h.

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 4517 of file random.h.

template<typename _IntType = int> 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 1436 of file bits/random.tcc.

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

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

Generating functions.

Definition at line 4532 of file random.h.

template<typename _IntType = int> param_type std::poisson_distribution< _IntType >::param () const [inline]

Returns the parameter set of the distribution.

Definition at line 4502 of file random.h.

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 4510 of file random.h.

template<typename _IntType = int> void std::poisson_distribution< _IntType >::reset () [inline]

Resets the distribution state.

Definition at line 4488 of file random.h.

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

Friends And Related Function Documentation

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.

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 4568 of file random.h.

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.

Author

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Tue Sep 29 2020 libstdc++