.. _oneapi-mkl-rng-device-uniform-continuous:

oneapi::mkl::rng::device::uniform (Continuous)
==============================================

Generates random numbers with uniform distribution.


.. contents::
    :local:
    :depth: 1

Description
***********

The ``oneapi::mkl::rng::device::uniform`` class object is used in the ``oneapi::mkl::rng::device::generate``
function 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∈R`` ; ``a`` < ``b``.


The probability density function is given by:

.. math::

  F_{a, b}(x) =
  \begin{cases}
     \frac{1}{b-a}, & x \in [a, b) \\
     1, & x \notin [a, b)
  \end{cases},
  - \infty < x < + \infty

The cumulative distribution function is as follows:

.. math::

  F_{a, b}(x) =
  \begin{cases}
     0, & x < a \\
     \frac{x-a}{b-a}, & a \leq x < b \\
     1, & x \geq b
  \end{cases},
  -\infty < x < +\infty


API
***


Syntax
------

.. code-block:: cpp

  namespace oneapi::mkl::lapack {
    template<typename Type, typename Method>
    class uniform {public:
    using method_type = Method;
    using result_type = Type;
    uniform(): uniform((Type)0.0,
    (Type)1.0){};
    explicit uniform(Type a, Type b);
    explicit uniform(const param_type& pt);
    Type a() const;
    Type b() const;
    param_type param() const;
    void param(const param_type& pt);
    };
  }


Include Files
-------------

- ``oneapi/mkl/rng/device.hpp``


Template Parameters
-------------------

.. list-table::
  :header-rows: 1

  * - \ ``typename Type``\
    - Type of the produced values. The specific values are       as      follows:      \ ``float``\       \ ``double``\
  * - \ ``typename Method``\
    - Generation method. The specific values are as       follows:      \ ``oneapi::mkl::rng::device::uniform_method::standard``\       \ ``oneapi::mkl::rng::device::uniform_method::accurate``\

See brief descriptions of the methods in :ref:`distributions-template-parameter-method`

Input Parameters
----------------

.. list-table::
   :header-rows: 1

   * - Name
     - Type
     - Description
   * - a
     - ``Type (float, double)``
     - Left bound ``a``
   * - b
     - ``Type (float, double)``
     - Right bound ``b``