std::normal_distribution< _RealType >(3cxx) | std::normal_distribution< _RealType >(3cxx) |
NAME¶
std::normal_distribution< _RealType > - A normal continuous distribution for random numbers.
SYNOPSIS¶
#include <random.h>
Classes¶
struct param_type
Public Types¶
typedef _RealType result_type
Public Member Functions¶
normal_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_type max () const
Returns the least upper bound value of the distribution. _RealType mean
() const
Returns the mean 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. _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.
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|,gma) = ac{1}{gma rt{2 i}}
e^{- ac{{x - }^ {2}}{2 gma ^ {2}} } ]
Member Typedef Documentation¶
template<typename _RealType = double> typedef _RealType std::normal_distribution< _RealType >::result_type¶
The type of the range of the distribution.
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.
Member Function Documentation¶
template<typename _RealType = double> result_type std::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> _RealType std::normal_distribution< _RealType >::mean () const [inline]¶
Returns the mean of the distribution.
template<typename _RealType = double> result_type std::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_type std::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_type std::normal_distribution< _RealType >::operator() (_UniformRandomNumberGenerator & __urng, const param_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_type std::normal_distribution< _RealType >::param () const [inline]¶
Returns the parameter set of the distribution.
template<typename _RealType = double> void std::normal_distribution< _RealType >::param (const param_type & __param) [inline]¶
Sets the parameter set of the distribution.
Parameters
template<typename _RealType = double> void std::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> _RealType std::normal_distribution< _RealType >::stddev () const [inline]¶
Returns the standard deviation of the distribution.
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::normal_distribution< _RealType1 > & __x) [friend]¶
Inserts a normal_distribution random number distribution __x into the output stream __os.
Parameters
__x A normal_distribution random number distribution.
Returns
template<typename _RealType = double> template<typename _RealType1 > bool operator== (const std::normal_distribution< _RealType1 > & __d1, const std::normal_distribution< _RealType1 > & __d2) [friend]¶
Return true if two normal 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::normal_distribution< _RealType1 > & __x) [friend]¶
Extracts a normal_distribution random number distribution __x from the input stream __is.
Parameters
__x A normal_distribution random number generator engine.
Returns
Author¶
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