uniform (Discrete)

oneMKL - Data Parallel C++ Developer Reference

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ID 772045

Date 10/15/2026

Version

Public

uniform (Discrete)

Generates random numbers uniformly distributed over the interval [a, b).

Description
API

Description

The uniform class object is used in generate functions to provide random numbers uniformly distributed over the interval [a, b), where a, b are the left and right bounds of the interval respectively, and \(a, b \in Z; a < b\).

The probability distribution is given by:

\[\begin{align}\begin{aligned}P(X = k) = \frac{1}{b-a}\\k \in \{a, a + 1, \ldots, b-1\}\end{aligned}\end{align}\]

The cumulative distribution function is as follows:

\[\begin{split}F_{a, b}(x) = \begin{cases} 0, & x < a \\ \frac{x-a + 1}{b-a}, & a \leq x < b \\ 1, & x \geq b \end{cases}, x \in R\end{split}\]

API

Syntax

namespace oneapi::mkl::rng {
  template<typename Method>
  class uniform<std::(u)int32_t, Method> {
  public:
    using method_type = Method;
    using result_type =  std::(u)int32_t;

    uniform(): uniform((std::(u)int32_t )(0),
                       std::is_same<Method,
                       uniform_method::standard>::value ? (1 << 23) :
                       std::numeric_limits<Type>::max()){}
    explicit uniform(std::(u)int32_t a,  std::(u)int32_t b);
    explicit uniform(const param_type& pt);

    std::(u)int32_t a() const;
    std::(u)int32_t b() const;
    param_type param() const;
    void param(const param_type& pt);
  };
}

Devices supported: CPU and GPU.

Include Files

oneapi/mkl/rng.hpp

Template Parameters

typename Method = oneapi::mkl::rng::uniform_method::by_default

Generation method. The specific values are as follows:

oneapi::mkl::rng::uniform_method::standard

oneapi::mkl::rng::uniform_method::accurate

See brief descriptions of the methods in Distributions Template Parameter Method.

NOTE:

The oneapi::mkl::rng::uniform_method::standard uses the s BRNG type on GPU devices. This might cause the produced numbers to have incorrect statistics (due to rounding error) when \((abs(b – a) > 2^{23} || abs(b) > 2^{23} || abs(a) > 2^{23})\). To get proper statistics for this case, use the oneapi::mkl::rng::uniform_method::accurate method instead.

Input Parameters

Name	Type	Description
`a`	`std::int32_t` `std::uint32_t`	Left bound `a`
`b`	`std::int32_t` `std::uint32_t`	Right bound `b`

Name

Type

Description

a

std::int32_t

std::uint32_t

Left bound a

b

std::int32_t

std::uint32_t

Right bound b

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oneMKL - Data Parallel C++ Developer Reference

uniform (Discrete)

Description

API