mcg59#

The 59-bit multiplicative congruential pseudorandom number generator MCG(\(13^{13}, 2^{59}\)) from NAG Numerical Libraries.

Description

The mcg59 engine is a 59-bit multiplicative congruential generator from NAG Numerical Libraries NAG. The mcg59 generator belongs to linear congruential generators with the period length of approximately \(2^{57}\).

Generation algorithm

\(x_n=ax_{n-1}(mod \ m)\)

\(u_n = x_n / m\)

\(a = 13^{13}, m=2^{59}\)

class mcg59#

Syntax

namespace oneapi::mkl::rng::device {
  template<std::int32_t VecSize = 1>
  class mcg59 {
  public:
    static constexpr std::uint32_t default_seed = 1;
    static constexpr std::int32_t vec_size = VecSize;

    mcg59();
    mcg59(std::uint32_t seed, std::uint64_t offset = 0);
    mcg59(std::initializer_list<std::uint32_t> seed, std::uint64_t offset = 0);
  };
}

Class Template Parameters

VecSize: Describes the size of vector which will be produced by generate function by this engine. VecSize values may be 1, 2, 3, 4, 8, 16 as sycl::vec class size. By default VecSize = 1, for this case, a single random number is returned by the generate function.

Class Members

Routine	Description
mcg59()	Default constructor
mcg59(std::uint32_t seed, std::uint64_t offset = 0)	Constructor for common seed initialization of the engine and common number of skipped elements
mcg59(std::initializer_list<std::uint32_t> seed, std::uint64_t offset = 0)	Constructor for extended seed initialization of the engine and common number of skipped elements

Constructors

mcg59::mcg59()

mcg59::mcg59(std::uint32_t seed, std::uint64_t offset = 0)

Input Parameters

seed: The initial conditions of the generator state, assume \(x_0 = seed \ mod \ 2^{59}\), if \(x_0 = 0\), assume \(x_0 = 1\).
offset: Number of skipped elements.

mcg59::mcg59(std::initializer_list<std::uint32_t> seed, std::uint64_t offset = 0)

Input Parameters

seed: The initial conditions of the generator state, assume \(x_0 = seed \ mod \ 2^{59}\), if \(x_0 = 0\), assume \(x_0 = 1\).
offset: Number of skipped elements.

Parent topic: Device Engines (Basic Random Number Generators)

mcg59

Contents

mcg59#

class mcg59#