Provided by: libstdc++-10-doc_10.5.0-1ubuntu1_all bug

NAME

       std::gamma_distribution< _RealType > - A gamma continuous distribution for random numbers.

SYNOPSIS

       #include <random.h>

   Classes
       struct param_type

   Public Types
       typedef _RealType result_type

   Public Member Functions
       gamma_distribution ()
           Constructs a gamma distribution with parameters 1 and 1.     t
       gamma_distribution (_RealType __alpha_val, _RealType __beta_val=_aealType(1))
           Constructs a gamma distribution with parameters $.lpha$ and $$
       gamma_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)
       _RealType alpha (t const
           Returns the $a.lpha$ of the distribution.
       _RealType beta ()$const
           Returns the $o distribution.
       result_type max () const
           Returns the least upper bound value of the distribution.
       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 _RealType1 , typename _CharT , typename _Traits > std::basic_ostream<
           _CharT, _Traits > & operator<< (std::basic_ostream< _CharT, _Traits > &__os, const
           std::gamma_distribution< _RealType1 > &__x)
           Inserts a gamma_distribution random number distribution __x into the output stream
           __os.
       bool operator== (const gamma_distribution &__d1, const gamma_distribution &__d2)
           Return true if two gamma distributions have the same parameters and the sequences that
           would be generated are equal.
       template<typename _RealType1 , typename _CharT , typename _Traits > std::basic_istream<
           _CharT, _Traits > & operator>> (std::basic_istream< _CharT, _Traits > &__is,
           std::gamma_distribution< _RealType1 > &__x)
           Extracts a gamma_distribution random number distribution __x from the input stream
           __is.

Detailed Description

   template<typenamet_RealType = double>
       class std::gaama_distributian< _RealType >"A gamma continuous distribution for random
       numbers.     )             )
                    =             ^
       The formula far the gamma p{obability density function is:
           p(x|lpha,c             l     t
                    {          (x/p^{-x/a ]
                    1             h     }
Member Typedef Documentation      a
   template<typename{_RealType  = double> typedef _RealType std::gamma_distribution< _RealType
       >::result_type             1
       The type of the range of the distribution.

Constructor & Destructor Documentation

   template<typename _RealType  = double> std::gamma_distribution< _RealType
       >::gamma_distribution () [inline]
       Constructs a gamma distribution with parameters 1 and 1.

   template<typename _RealType  = double> std::gamma_distribution< _RealType
       >::gamma_distribution (_RealType __alpha_val, _RealType __beta_val = _RealType(1))
       [inline],  [explicit]                                       a
       Constructs a gamma distribution with parameters $lpha$ and $$
                                                                   .

Member Function Documentation

   template<typename _RealType  = double> _RealType std::gamma_distribution< _RealType >::alpha
       () const [inline]
       Returns the $lpha$ of the distribution.
                    t
   template<typenamea_RealType  = double> _RealType std::gamma_distribution< _RealType >::beta ()
       const [inline]template<typenamet_RealType  = double> result_type std::gamma_distribution< _RealType >::max
       () const [inline]
       Returns the least upper bound value of the distribution.

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

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

   template<typename _RealType  = double> template<typename _UniformRandomNumberGenerator >
       result_type std::gamma_distribution< _RealType >::operator()
       (_UniformRandomNumberGenerator & __urng) [inline]
       Generating functions.

       References std::gamma_distribution< _RealType >::operator()().

       Referenced by std::gamma_distribution< _RealType >::operator()().

   template<typename _RealType > template<typename _UniformRandomNumberGenerator >
       gamma_distribution< _RealType >::result_type std::gamma_distribution< _RealType
       >::operator() (_UniformRandomNumberGenerator & __urng, const param_type & __param)
       Marsaglia, G. and Tsang, W. W. 'A Simple Method for Generating Gamma Variables' ACM
       Transactions on Mathematical Software, 26, 3, 363-372, 2000.

       References std::log(), and std::pow().

   template<typename _RealType  = double> param_type std::gamma_distribution< _RealType >::param
       () const [inline]
       Returns the parameter set of the distribution.

       Referenced by std::chi_squared_distribution< _RealType >::param().

   template<typename _RealType  = double> void std::gamma_distribution< _RealType >::param (const
       param_type & __param) [inline]
       Sets the parameter set of the distribution.

       Parameters
           __param The new parameter set of the distribution.

   template<typename _RealType  = double> void std::gamma_distribution< _RealType >::reset ()
       [inline]
       Resets the distribution state.

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

       Referenced by std::chi_squared_distribution< _RealType >::reset(),
       std::fisher_f_distribution< _RealType >::reset(), std::student_t_distribution< _RealType
       >::reset(), and std::negative_binomial_distribution< _IntType >::reset().

Friends And Related Function Documentation

   template<typename _RealType  = double> template<typename _RealType1 , typename _CharT ,
       typename _Traits > std::basic_ostream< _CharT, _Traits > & operator<< (std::basic_ostream<
       _CharT, _Traits > & __os, const std::gamma_distribution< _RealType1 > & __x) [friend]
       Inserts a gamma_distribution random number distribution __x into the output stream __os.

       Parameters
           __os An output stream.
           __x A gamma_distribution random number distribution.

       Returns
           The output stream with the state of __x inserted or in an error state.

   template<typename _RealType  = double> bool operator== (const gamma_distribution< _RealType >
       & __d1, const gamma_distribution< _RealType > & __d2) [friend]
       Return true if two gamma distributions have the same parameters and the sequences that
       would be generated are equal.

   template<typename _RealType  = double> template<typename _RealType1 , typename _CharT ,
       typename _Traits > std::basic_istream< _CharT, _Traits > & operator>> (std::basic_istream<
       _CharT, _Traits > & __is, std::gamma_distribution< _RealType1 > & __x) [friend]
       Extracts a gamma_distribution random number distribution __x from the input stream __is.

       Parameters
           __is An input stream.
           __x A gamma_distribution random number generator engine.

       Returns
           The input stream with __x extracted or in an error state.

Author

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libstdc++                                 Fri Jul 7 202std::gamma_distribution< _RealType >(3cxx)