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.

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}} } ]

Definition at line 1964 of file random.h.

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.

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.

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

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.

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

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

Returns