vRngUniformBits

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

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ID 766686

Date 3/31/2023

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vRngUniformBits

Generates bits of underlying BRNG integer recurrence.

Syntax

status = virnguniformbits( method, stream, n, r )

Include Files

mkl.fi, mkl_vsl.f90

Input Parameters

Name	Type	Description
method	INTEGER, INTENT(IN)	Generation method; the specific value is VSL_RNG_METHOD_UNIFORMBITS_STD
stream	TYPE (VSL_STREAM_STATE), INTENT(IN)	Descriptor of the stream state structure.
n	INTEGER, INTENT(IN)	Number of random values to be generated

Name

Type

Description

method

INTEGER, INTENT(IN)

Generation method; the specific value is

VSL_RNG_METHOD_UNIFORMBITS_STD

stream

TYPE (VSL_STREAM_STATE), INTENT(IN)

Descriptor of the stream state structure.

INTEGER, INTENT(IN)

Number of random values to be generated

Output Parameters

Name	Type	Description
r	INTEGER(KIND=4), INTENT(OUT)	Vector of `n` random integer numbers. If the `stream` was generated by a 64 or a 128-bit generator, each integer value is represented by two or four elements of `r` respectively. The number of bytes occupied by each integer is contained in the field `wordsize` of the structure VSL_BRNG_PROPERTIES. The total number of bits that are actually used to store the value are contained in the field `nbits` of the same structure. See Advanced Service Routines for a more detailed discussion of VSLBRngProperties.

Description

The vRngUniformBits function generates integer random values with uniform bit distribution. The generators of uniformly distributed numbers can be represented as recurrence relations over integer values in modular arithmetic. Apparently, each integer can be treated as a vector of several bits. In a truly random generator, these bits are random, while in pseudorandom generators this randomness can be violated. For example, a well known drawback of linear congruential generators is that lower bits are less random than higher bits (for example, see [Knuth81]). For this reason, care should be taken when using this function. Typically, in a 32-bit LCG only 24 higher bits of an integer value can be considered random. See VS Notes for details.

Product and Performance Information
Performance varies by use, configuration and other factors. Learn more at www.Intel.com/PerformanceIndex. Notice revision #20201201

Product and Performance Information

Performance varies by use, configuration and other factors. Learn more at www.Intel.com/PerformanceIndex.

Notice revision #20201201

Return Values

VSL_ERROR_OK, VSL_STATUS_OK: Indicates no error, execution is successful.
VSL_ERROR_NULL_PTR: stream is a NULL pointer.
VSL_RNG_ERROR_BAD_STREAM: stream is not a valid random stream.
VSL_RNG_ERROR_BAD_UPDATE: Callback function for an abstract BRNG returns an invalid number of updated entries in a buffer, that is, < 0 or > nmax.
VSL_RNG_ERROR_NO_NUMBERS: Callback function for an abstract BRNG returns 0 as the number of updated entries in a buffer.
VSL_RNG_ERROR_QRNG_PERIOD_ELAPSED: Period of the generator has been exceeded.
VSL_RNG_ERROR_NONDETERM_NRETRIES_EXCEEDED: Number of retries to generate a random number by using non-deterministic random number generator exceeds threshold.
VSL_RNG_ERROR_ARS5_NOT_SUPPORTED: ARS-5 random number generator is not supported on the CPU running the application.

Parent topic: Discrete Distributions

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vRngUniformBits