vRngGaussian

Developer Reference for Intel® oneAPI Math Kernel Library for C

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ID 766684

Date 12/16/2022

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Public

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Generates normally distributed random numbers.

Syntax

status = vsRngGaussian( method, stream, n, r, a, sigma );

status = vdRngGaussian( method, stream, n, r, a, sigma );

Include Files

Description

The vRngGaussian function generates random numbers with normal (Gaussian) distribution with mean value a and standard deviation σ, where

					a, σ
					∈
					R ; σ > 0.

The probability density function is given by:

The cumulative distribution function is as follows:

The cumulative distribution function F_a,σ(x) can be expressed in terms of standard normal distribution Φ(x) as

				F
				_a,σ(x) = Φ((x - a)/σ)

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

Input Parameters

Name	Type	Description
method	`const MKL_INT`	Generation method. The specific values are as follows: VSL_RNG_METHOD_GAUSSIAN_BOXMULLER VSL_RNG_METHOD_GAUSSIAN_BOXMULLER2 VSL_RNG_METHOD_GAUSSIAN_ICDF See brief description of the methods `BOXMULLER`, `BOXMULLER2`, and `ICDF` in Table "Values of `<method>` in `method` parameter"
stream	`VSLStreamStatePtr`	Pointer to the stream state structure
n	`const MKL_INT`	Number of random values to be generated.
a	`const float` for `vsRngGaussian` `const double` for `vdRngGaussian`	Mean value `a`.
sigma	`const float` for `vsRngGaussian` `const double` for `vdRngGaussian`	Standard deviation σ.

Output Parameters

Name	Type	Description
r	`float` for `vsRngGaussian` `double` for `vdRngGaussian`	Vector of `n` normally distributed random numbers.

Name

Type

Description

float* for vsRngGaussian

double* for vdRngGaussian

Vector of n normally distributed random numbers.

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: Continuous Distributions