Provided by: libstdc++-9-doc_9.5.0-3ubuntu1_all 
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|,ma) = ac{1}{ma t{2 i}}
e^{- ac{{x - }^ {2}}{2 ma ^ {2}} } ]
Definition at line 1964 of file random.h.
Member Typedef Documentation
template<typename _RealType = double> typedef _RealType std::normal_distribution< _RealType
>::result_type
The type of the range of the distribution.
Definition at line 1971 of file random.h.
Constructor & Destructor Documentation
template<typename _RealType = double> std::normal_distribution< _RealType
>::normal_distribution () [inline]
Definition at line 2010 of file random.h.
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.
Definition at line 2017 of file random.h.
template<typename _RealType = double> std::normal_distribution< _RealType
>::normal_distribution (const param_type & __p) [inline], [explicit]
Definition at line 2023 of file random.h.
Member Function Documentation
template<typename _RealType = double> template<typename _ForwardIterator , typename
_UniformRandomNumberGenerator > void std::normal_distribution< _RealType >::__generate
(_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator & __urng)
[inline]
Definition at line 2093 of file random.h.
template<typename _RealType = double> template<typename _ForwardIterator , typename
_UniformRandomNumberGenerator > void std::normal_distribution< _RealType >::__generate
(_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator & __urng, const
param_type & __p) [inline]
Definition at line 2100 of file random.h.
template<typename _RealType = double> template<typename _UniformRandomNumberGenerator > void
std::normal_distribution< _RealType >::__generate (result_type * __f, result_type * __t,
_UniformRandomNumberGenerator & __urng, const param_type & __p) [inline]
Definition at line 2107 of file random.h.
template<typename _RealType = double> result_type std::normal_distribution< _RealType >::max
() const [inline]
Returns the least upper bound value of the distribution.
Definition at line 2074 of file random.h.
References std::numeric_limits< _Tp >::max().
template<typename _RealType = double> _RealType std::normal_distribution< _RealType >::mean
() const [inline]
Returns the mean of the distribution.
Definition at line 2038 of file random.h.
template<typename _RealType = double> result_type std::normal_distribution< _RealType >::min
() const [inline]
Returns the greatest lower bound value of the distribution.
Definition at line 2067 of file random.h.
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.
Definition at line 2082 of file random.h.
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.
Definition at line 1788 of file bits/random.tcc.
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.
Definition at line 2052 of file random.h.
template<typename _RealType = double> void std::normal_distribution< _RealType >::param
(const param_type & __param) [inline]
Sets the parameter set of the distribution.
Parameters
__param The new parameter set of the distribution.
Definition at line 2060 of file random.h.
template<typename _RealType = double> void std::normal_distribution< _RealType >::reset ()
[inline]
Resets the distribution state.
Definition at line 2031 of file random.h.
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.
Definition at line 2045 of file random.h.
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::normal_distribution< _RealType1 > & __x) [friend]
Inserts a normal_distribution random number distribution __x into the output stream __os.
Parameters
__os An output stream.
__x A normal_distribution random number distribution.
Returns
The output stream with the state of __x inserted or in an error state.
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
__is An input stream.
__x A normal_distribution random number generator engine.
Returns
The input stream with __x extracted or in an error state.
Author
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