Generates Rayleigh distributed random values.
Syntax
status = vsrngrayleigh( method, stream, n, r, a, beta )
status = vdrngrayleigh( method, stream, n, r, a, beta )
Include Files
- mkl.fi, mkl_vsl.f90
Input Parameters
Name |
Type |
Description |
|---|---|---|
method |
INTEGER, INTENT(IN) |
Generation method. The specific values are as follows: VSL_RNG_METHOD_RAYLEIGH_ICDFVSL_RNG_METHOD_RAYLEIGH_ICDF_ACCURATE
Inverse cumulative distribution function method |
stream |
TYPE (VSL_STREAM_STATE), INTENT(IN) |
Descriptor of the stream state structure. |
n |
INTEGER, INTENT(IN) |
Number of random values to be generated |
a |
DOUBLE PRECISION for vdrngrayleigh REAL(KIND=4), INTENT(IN) for vsrngrayleigh REAL(KIND=8), INTENT(IN) for vdrngrayleigh |
Displacement a |
beta |
DOUBLE PRECISION for vdrngrayleigh REAL(KIND=4), INTENT(IN) for vsrngrayleigh REAL(KIND=8), INTENT(IN) for vdrngrayleigh |
Scalefactor β. |
Output Parameters
Name |
Type |
Description |
|---|---|---|
r |
DOUBLE PRECISION for vdrngrayleigh REAL(KIND=4), INTENT(OUT) for vsrngrayleigh REAL(KIND=8), INTENT(OUT) for vdrngrayleigh |
Vector of n Rayleigh distributed random numbers |
Description
The vRngRayleigh function generates Rayleigh distributed random numbers with displacement a and scalefactor β, where a, β∈R ; β > 0.
The Rayleigh distribution is a special case of the Weibull distribution, where the shape parameter α = 2.
The probability density function is given by:
The cumulative distribution function is as follows:
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.