NAME

       std::poisson_distribution< _IntType > - A discrete Poisson random number distribution.

SYNOPSIS

       #include <random>

   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
           Returns the least upper bound value of the distribution.
       double mean () const
           Returns the distribution parameter mean.
       result_type min () const
           Returns the greatest lower bound value of the distribution.
       template<typename _UniformRandomNumberGenerator > result_type operator()
           (_UniformRandomNumberGenerator &__urng)
           Generating functions.
       template<typename _UniformRandomNumberGenerator > result_type operator()
           (_UniformRandomNumberGenerator &__urng, const param_type &__p)
       param_type param () const
           Returns the parameter set of the distribution.
       void param (const param_type &__param)
           Sets the parameter set of the distribution.
       void reset ()
           Resets the distribution state.

   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)
           Inserts a poisson_distribution random number distribution __x into the output stream
           __os.
       bool operator== (const poisson_distribution &__d1, const poisson_distribution &__d2)
           Return true if two Poisson distributions have the same parameters and the sequences
           that would be generated are equal.
       template<typename _IntType1 , typename _CharT , typename _Traits > std::basic_istream<
           _CharT, _Traits > & operator>> (std::basic_istream< _CharT, _Traits > &__is,
           std::poisson_distribution< _IntType1 > &__x)
           Extracts a poisson_distribution random number distribution __x from the input stream
           __is.

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.

       Since
           C++11

Member Typedef Documentation

   template<typename _IntType  = int> typedef _IntType std::poisson_distribution< _IntType
       >::result_type
       The type of the range of the distribution.

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.

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

   template<typename _IntType  = int> double std::poisson_distribution< _IntType >::mean () const
       [inline]
       Returns the distribution parameter mean.

   template<typename _IntType  = int> result_type std::poisson_distribution< _IntType >::min ()
       const [inline]
       Returns the greatest lower bound value of the distribution.

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

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

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

   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!).

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

   template<typename _IntType  = int> param_type std::poisson_distribution< _IntType >::param ()
       const [inline]
       Returns the parameter set of the distribution.

   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.

   template<typename _IntType  = int> void std::poisson_distribution< _IntType >::reset ()
       [inline]
       Resets the distribution state.

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

Friends And Related Symbol 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.

   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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