std::normal_distribution< _RealType >(3cxx)

NAME
std::normal_distribution< _RealType > - A normal continuous distribution for random numbers.

SYNOPSIS

  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|,igma) = ac{1}{igma qrt{2 i}} e^{- ac{{x - }^ {2}}{2 igma ^ {2}} } ]

Definition at line 1972 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 1979 of file random.h.

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.

Definition at line 2025 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 2082 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 2046 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 2075 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 2090 of file random.h.

  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 1803 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 2060 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 2068 of file random.h.

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

Resets the distribution state.

Definition at line 2039 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 2053 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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