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 1787 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 1794 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 1827 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 1884 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 1848 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 1877 of file random.h.

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

template<typename _RealType >
template<typename _UniformRandomNumberGenerator >
normal_distribution< _RealType >::result_type std::normal_distribution< _RealType >::operator() ( _UniformRandomNumberGenerator &  __urng,
const param_type __param 
) [inline]

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 1596 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 1870 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 1862 of file random.h.

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

Returns the standard deviation of the distribution.

Definition at line 1855 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 , 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.

The documentation for this class was generated from the following files:

Generated on 11 Jan 2010 for libstdc++ by  doxygen 1.6.1