mx::math::laplace_distribution< _RealType > Class Template Reference

template<typename _RealType = double>
class mx::math::laplace_distribution< _RealType >

The Laplace (double exponential) continuous distribution for random numbers.

The formula for the exponential probability density function is \(p(x|\lambda) = \frac{\lambda}{2} e^{-\lambda x}\).

Distribution Statistics

Mean	\(0\)
Median	\(0\)
Mode	\(0\)
Range	\([-\infty, \infty]\)
Standard Deviation	\(\frac{\sqrt{2}}{\lambda}\)

This is based on the implementation of the exponential distribution in the GNU ISO C++ Library version 4.6.

Test:

Verify compilation and basic operation of randomT with the Laplace distribution [test doc]

Definition at line 141 of file randomT.hpp.

#include <math/randomT.hpp>

Classes
struct	param_type

Public Types
typedef _RealType	result_type

Public Member Functions
	laplace_distribution (const result_type &__lambda=result_type(1))
	Constructs a Laplace (double exponential) distribution with inverse scale parameter \(\lambda\).
void	reset ()
	Resets the distribution state.
_RealType	lambda () const
	Returns the inverse scale parameter of the distribution.
param_type	param () const
	Returns the parameter set of the distribution.
void	param (const param_type &__param)
	Sets the parameter set of the distribution.
result_type	min () const
	Returns the greatest lower bound value of the distribution.
result_type	max () const
	Returns the least upper bound value of the distribution.
template<typename _UniformRandomNumberGenerator >
result_type	operator() (_UniformRandomNumberGenerator &__urng)
	Generating functions.

Member Typedef Documentation

result_type

template<typename _RealType = double>

typedef _RealType mx::math::laplace_distribution< _RealType >::result_type

The type of the range of the distribution.

Definition at line 147 of file randomT.hpp.

Constructor & Destructor Documentation

laplace_distribution()

template<typename _RealType = double>

mx::math::laplace_distribution< _RealType >::laplace_distribution ( const result_type &  __lambda = result_type( 1 ) )

inlineexplicit

Constructs a Laplace (double exponential) distribution with inverse scale parameter \(\lambda\).

Definition at line 177 of file randomT.hpp.

Member Function Documentation

lambda()

template<typename _RealType = double>

_RealType mx::math::laplace_distribution< _RealType >::lambda ( ) const

inline

Returns the inverse scale parameter of the distribution.

Definition at line 197 of file randomT.hpp.

max()

template<typename _RealType = double>

result_type mx::math::laplace_distribution< _RealType >::max ( ) const

inline

Returns the least upper bound value of the distribution.

Definition at line 230 of file randomT.hpp.

min()

template<typename _RealType = double>

result_type mx::math::laplace_distribution< _RealType >::min ( ) const

inline

Returns the greatest lower bound value of the distribution.

Definition at line 222 of file randomT.hpp.

operator()()

template<typename _RealType = double>

template<typename _UniformRandomNumberGenerator >

result_type mx::math::laplace_distribution< _RealType >::operator() ( _UniformRandomNumberGenerator &  __urng )

inline

Generating functions.

Definition at line 239 of file randomT.hpp.

References mx::math::laplace_distribution< _RealType >::operator()(), and mx::math::laplace_distribution< _RealType >::param().

Referenced by mx::math::laplace_distribution< _RealType >::operator()().

param() [1/2]

template<typename _RealType = double>

param_type mx::math::laplace_distribution< _RealType >::param ( ) const

inline

Returns the parameter set of the distribution.

Definition at line 205 of file randomT.hpp.

Referenced by mx::math::laplace_distribution< _RealType >::operator()().

param() [2/2]

template<typename _RealType = double>

void mx::math::laplace_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 214 of file randomT.hpp.

References mx::math::six_fifths().

reset()

template<typename _RealType = double>

void mx::math::laplace_distribution< _RealType >::reset ( )

inline

Resets the distribution state.

Has no effect on Laplace distributions.

Definition at line 190 of file randomT.hpp.

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

• math/randomT.hpp