std::normal_distribution< _RealType > - A normal continuous distribution for random numbers.
Contents
Constructor & Destructor Documentation
template<typename_RealType=double>std::normal_distribution<_RealType>::normal_distribution(result_type__mean,result_type__stddev=result_type(1))[inline],[explicit]
Constructs a normal distribution with parameters $mean$ and standard deviation.
Detailed Description
template<typename_RealType=double>
class std::normal_distribution< _RealType >"A normal continuous distribution for random numbers.
The formula for the normal probability density function is
p(x|,ma) = ac{1}{ma t{2 i}}
e^{- ac{{x - }^ {2}}{2 ma ^ {2}} } ]
Since
C++11
Member Function Documentation
template<typename_RealType=double>result_typestd::normal_distribution<_RealType>::max()const[inline]
Returns the least upper bound value of the distribution.
References std::numeric_limits<_Tp>::max().
template<typename_RealType=double>_RealTypestd::normal_distribution<_RealType>::mean()const[inline]
Returns the mean of the distribution.
template<typename_RealType=double>result_typestd::normal_distribution<_RealType>::min()const[inline]
Returns the greatest lower bound value of the distribution.
References std::numeric_limits<_Tp>::lowest().
template<typename_RealType=double>template<typename_UniformRandomNumberGenerator>result_typestd::normal_distribution<_RealType>::operator()(_UniformRandomNumberGenerator&__urng)[inline]
Generating functions.
References std::normal_distribution<_RealType>::operator()().
Referenced by std::normal_distribution<_RealType>::operator()().
template<typename_RealType>template<typename_UniformRandomNumberGenerator>normal_distribution<_RealType>::result_typestd::normal_distribution<_RealType>::operator()(_UniformRandomNumberGenerator&__urng,constparam_type&__param)
Polar method due to Marsaglia.
Devroye, L. Non-Uniform Random Variates Generation. Springer-Verlag, New York, 1986, Ch. V, Sect. 4.4.
References std::log(), and std::sqrt().
template<typename_RealType=double>param_typestd::normal_distribution<_RealType>::param()const[inline]
Returns the parameter set of the distribution.
template<typename_RealType=double>voidstd::normal_distribution<_RealType>::param(constparam_type&__param)[inline]
Sets the parameter set of the distribution.
Parameters__param The new parameter set of the distribution.
template<typename_RealType=double>voidstd::normal_distribution<_RealType>::reset()[inline]
Resets the distribution state.
Referenced by std::lognormal_distribution<_RealType>::reset(), std::gamma_distribution<_RealType>::reset(), std::student_t_distribution<_RealType>::reset(), std::binomial_distribution<_IntType>::reset(), and std::poisson_distribution<_IntType>::reset().
template<typename_RealType=double>_RealTypestd::normal_distribution<_RealType>::stddev()const[inline]
Returns the standard deviation of the distribution.
Member Typedef Documentation
template<typename_RealType=double>typedef_RealTypestd::normal_distribution<_RealType>::result_type
The type of the range of the distribution.
Name
std::normal_distribution< _RealType > - A normal continuous distribution for random numbers.
Synopsis
#include <random>
Classes
struct param_typePublicTypestypedef _RealType result_typePublicMemberFunctionsnormal_distribution (const param_type &__p)
normal_distribution (result_type__mean, result_type__stddev=result_type(1))
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_typemax () const
Returns the least upper bound value of the distribution.
_RealType mean () const
Returns the mean of the distribution.
result_typemin () const
Returns the greatest lower bound value of the distribution.
template<typename_UniformRandomNumberGenerator > result_typeoperator() (_UniformRandomNumberGenerator
&__urng)
Generating functions.
template<typename_UniformRandomNumberGenerator > result_typeoperator() (_UniformRandomNumberGenerator
&__urng, const param_type &__p)
param_typeparam () const
Returns the parameter set of the distribution.
voidparam (const param_type &__param)
Sets the parameter set of the distribution.
voidreset ()
Resets the distribution state.
_RealType stddev () const
Returns the standard deviation of the distribution.
Friends
template<typename_RealType1 , typename _CharT , typename _Traits > std::basic_ostream< _CharT, _Traits >
& operator<< (std::basic_ostream< _CharT, _Traits > &__os, const std::normal_distribution< _RealType1
> &__x)
Inserts a normal_distribution random number distribution __x into the output stream __os.
template<typename_RealType1 > bool operator== (const std::normal_distribution< _RealType1 > &__d1, const
std::normal_distribution< _RealType1 > &__d2)
Return true if two normal 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::normal_distribution< _RealType1 >
&__x)
Extracts a normal_distribution random number distribution __x from the input stream __is.
