std::binomial_distribution - Man Page
A discrete binomial random number distribution.
Synopsis
#include <random>
Classes
struct param_type
Public Types
typedef _IntType result_type
Public Member Functions
binomial_distribution (_IntType __t, double __p=0.5)
binomial_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
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)
template<typename _UniformRandomNumberGenerator > binomial_distribution< _IntType >::result_type operator() (_UniformRandomNumberGenerator &__urng, const param_type &__param)
double p () const
Returns the distribution p parameter.
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.
_IntType t () const
Returns the distribution t parameter.
Friends
template<typename _IntType1 , typename _CharT , typename _Traits > std::basic_ostream< _CharT, _Traits > & operator<< (std::basic_ostream< _CharT, _Traits > &__os, const std::binomial_distribution< _IntType1 > &__x)
Inserts a binomial_distribution random number distribution __x into the output stream __os.
bool operator== (const binomial_distribution &__d1, const binomial_distribution &__d2)
Return true if two binomial 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::binomial_distribution< _IntType1 > &__x)
Extracts a binomial_distribution random number distribution __x from the input stream __is.
Detailed Description
template<typename _IntType = int>
class std::binomial_distribution< _IntType >"A discrete binomial random number distribution.
The formula for the binomial probability density function is $p(i|t,p) = binom{t}{i} p^i (1 - p)^{t - i}$ where $t$ and $p$ are the parameters of the distribution.
- Since
C++11
Member Typedef Documentation
template<typename _IntType = int> _IntType std::binomial_distribution< _IntType >::result_type
The type of the range of the distribution.
Member Function Documentation
template<typename _IntType = int> result_type std::binomial_distribution< _IntType >::max () const [inline]
Returns the least upper bound value of the distribution.
template<typename _IntType = int> result_type std::binomial_distribution< _IntType >::min () const [inline]
Returns the greatest lower bound value of the distribution.
template<typename _IntType = int> template<typename _UniformRandomNumberGenerator > result_type std::binomial_distribution< _IntType >::operator() (_UniformRandomNumberGenerator & __urng) [inline]
Generating functions.
References std::binomial_distribution< _IntType >::operator()().
Referenced by std::binomial_distribution< _IntType >::operator()().
template<typename _IntType = int> template<typename _UniformRandomNumberGenerator > binomial_distribution< _IntType >::result_type std::binomial_distribution< _IntType >::operator() (_UniformRandomNumberGenerator & __urng, const param_type & __param)
A rejection algorithm when t * p >= 8 and a simple waiting time method - the second in the referenced book - otherwise. NB: The former is available only if _GLIBCXX_USE_C99_MATH_FUNCS is defined.
Reference: Devroye, L. Non-Uniform Random Variates Generation. Springer-Verlag, New York, 1986, Ch. X, Sect. 4 (+ Errata!).
References std::abs(), std::numeric_limits< _Tp >::epsilon(), std::log(), and std::numeric_limits< _Tp >::max().
template<typename _IntType = int> double std::binomial_distribution< _IntType >::p () const [inline]
Returns the distribution p parameter.
template<typename _IntType = int> param_type std::binomial_distribution< _IntType >::param () const [inline]
Returns the parameter set of the distribution.
template<typename _IntType = int> void std::binomial_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::binomial_distribution< _IntType >::reset () [inline]
Resets the distribution state.
References std::normal_distribution< _RealType >::reset().
template<typename _IntType = int> _IntType std::binomial_distribution< _IntType >::t () const [inline]
Returns the distribution t parameter.
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::binomial_distribution< _IntType1 > & __x) [friend]
Inserts a binomial_distribution random number distribution __x into the output stream __os.
Parameters
__os An output stream.
__x A binomial_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 binomial_distribution< _IntType > & __d1, const binomial_distribution< _IntType > & __d2) [friend]
Return true if two binomial 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::binomial_distribution< _IntType1 > & __x) [friend]
Extracts a binomial_distribution random number distribution __x from the input stream __is.
Parameters
__is An input stream.
__x A binomial_distribution random number generator engine.
- Returns
The input stream with __x extracted or in an error state.
Author
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