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std_normal_distribution.3cxx

NAME

std::normal_distribution -

A normal continuous distribution for random numbers.

SYNOPSIS

Classes

struct param_type

Public Types

typedef _RealType result_type

Public Member Functions

normal_distribution (result_type __mean=result_type(0), result_type __stddev=result_type(1))

normal_distribution (const param_type &__p)

result_type max () const

_RealType mean () const

result_type min () const

template<typename _UniformRandomNumberGenerator > result_type operator() (_UniformRandomNumberGenerator &__urng, const param_type &__p)

template<typename _UniformRandomNumberGenerator > result_type operator() (_UniformRandomNumberGenerator &__urng)

void param (const param_type &__param)

param_type param () const

void reset ()

_RealType stddev () const

Friends

template<typename _RealType1 , typename _CharT , typename _Traits > std::basic_ostream< _CharT, _Traits > & operator<< (std::basic_ostream< _CharT, _Traits > &, const std::normal_distribution< _RealType1 > &)

template<typename _RealType1 > bool operator== (const std::normal_distribution< _RealType1 > &__d1, const std::normal_distribution< _RealType1 > &__d2)

template<typename _RealType1 , typename _CharT , typename _Traits > std::basic_istream< _CharT, _Traits > & operator>> (std::basic_istream< _CharT, _Traits > &, std::normal_distribution< _RealType1 > &)

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 \

Definition at line 1990 of file random.h.

Member Typedef Documentation

template<typename _RealType = double> typedef _RealType std::normal_distribution< _RealType >::result_typeThe type of the range of the distribution.

Definition at line 1997 of file random.h.

Constructor & Destructor Documentation

template<typename _RealType = double> std::normal_distribution< _RealType >::normal_distribution (result_type __mean = result_type(0), result_type __stddev = result_type(1)) [inline, explicit]Constructs a normal distribution with parameters $mean$ and standard deviation.

Definition at line 2035 of file random.h.

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.

Definition at line 2092 of file random.h.

Referenced by std::normal_distribution< result_type >::max().

template<typename _RealType = double> _RealType std::normal_distribution< _RealType >::mean () const [inline]

Returns the mean of the distribution.

Definition at line 2056 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 2085 of file random.h.

Referenced by std::normal_distribution< result_type >::min().

template<typename _RealType = double> template<typename _UniformRandomNumberGenerator > result_type std::normal_distribution< _RealType >::operator() (_UniformRandomNumberGenerator & __urng) [inline]

Generating functions.

Definition at line 2100 of file random.h.

Referenced by std::normal_distribution< result_type >::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 1607 of file random.tcc.

References std::log(), and std::sqrt().

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 2078 of file random.h.

template<typename _RealType = double> param_type std::normal_distribution< _RealType >::param () const [inline]

Returns the parameter set of the distribution.

Definition at line 2070 of file random.h.

Referenced by std::normal_distribution< result_type >::operator()().

template<typename _RealType = double> void std::normal_distribution< _RealType >::reset () [inline]

Resets the distribution state.

Definition at line 2049 of file random.h.

Referenced by std::poisson_distribution< _IntType >::reset(), std::binomial_distribution< _IntType >::reset(), std::student_t_distribution< _RealType >::reset(), std::gamma_distribution< result_type >::reset(), and std::lognormal_distribution< _RealType >::reset().

template<typename _RealType = double> _RealType std::normal_distribution< _RealType >::stddev () const [inline]

Returns the standard deviation of the distribution.

Definition at line 2063 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 > &, const std::normal_distribution< _RealType1 > &) [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 > &, std::normal_distribution< _RealType1 > &) [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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