std::gamma_distribution< _RealType >(3)

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

SYNOPSIS

#include <random>

  Classes
struct param_type

  Public Types
typedef _RealType result_type

  Public Member Functions
gamma_distribution ()
Constructs a gamma distribution with parameters 1 and 1.
gamma_distribution (_RealType __alpha_val, _RealType __beta_val=_RealType(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 () const
Returns the $lpha$ of the distribution.
_RealType beta () const
Returns the $t 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<typename _RealType = double>
class std::gamma_distribution< _RealType >"A gamma continuous distribution for random numbers. The formula for the gamma probability density function is: p(x|lpha,ttaGamma(lpha)}
                        (x/t^{-x/ ]

Since
    C++11

Member Typedef Documentation

  template<typename _RealType = double> typedef _RealType std::gamma_distribution< _RealType >::result_type
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]

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.

  template<typename _RealType = double> _RealType std::gamma_distribution< _RealType >::beta () const [inline]

Returns the $t distribution.

  template<typename _RealType = double> result_type std::gamma_distribution< _RealType >::max () const [inline]

Returns the least upper bound value of the distribution.

  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.

Referenced by 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.

  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.

Friends And Related Symbol 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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