onemkl::rng::lognormal

Generates log-normally distributed random numbers.

Syntax

template<typename T = float, method Method =      box_muller2>
  class lognormal {
  public:
    lognormal(): lognormal((T)0.0, (T)1.0, (T) 0.0,      (T)1.0){}
    lognormal(Tm, T s, T displ, T scale)
    lognormal(const lognormal<T, Method>& other)
    T m() const
    T s() const
    T displ() const
    T scale() const
    lognormal<T, Method>& operator=(const      lognormal<T, Method>& other)
  }

Include Files

• mkl_sycl.hpp

Description

The onemkl::rng::lognormal class object is used in the onemkl::rng::generate function to provide random numbers with average of distribution (m, a) and standard deviation (s, σ) of subject normal distribution, displacement (displ, b), and scalefactor (scale, β), where a, σ, b, β ∈ R ; σ > 0 , β > 0.

The probability density function is given by:

The cumulative distribution function is as follows:

Input Parameters

Name	Type	Description
method	onemkl::rng::method	Generation method. The specific values are as follows: onemkl::rng::box_muller2 onemkl::rng::inverse_function See brief descriptions of the methods in Distributions Template Parameter onemkl::rng::method Values.
m	T (float, double)	Average a of the subject normal distribution.
s	T (float, double)	Standard deviation σ of the subject normal distribution.
displ	T (float, double)	Displacement displ.
scale	T (float, double)	Scalefactor scale.

Parent topic: Distributions