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std::normal_distribution< _RealType > Class Template Reference
Normal Distributions

A normal continuous distribution for random numbers. More...

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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

\[ p(x|\mu,\sigma) = \frac{1}{\sigma \sqrt{2 \pi}} e^{- \frac{{x - \mu}^ {2}}{2 \sigma ^ {2}} } \]

Definition at line 1979 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 1986 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 2024 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 2081 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 2045 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 2074 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 2089 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 1678 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:
__paramThe new parameter set of the distribution.

Definition at line 2067 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 2059 of file random.h.

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

Resets the distribution state.

Definition at line 2038 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 2052 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:
__osAn output stream.
__xA 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:
__isAn input stream.
__xA normal_distribution random number generator engine.
Returns:
The input stream with __x extracted or in an error state.
The documentation for this class was generated from the following files: