Intel® oneAPI Math Kernel Library Developer Reference - C
Generates lognormally distributed random numbers.
status = vsRngLognormal( method, stream, n, r, a, sigma, b, beta );
status = vdRngLognormal( method, stream, n, r, a, sigma, b, beta );
Name |
Type |
Description |
---|---|---|
method |
const MKL_INT |
Generation method. The specific values are as follows: VSL_RNG_METHOD_LOGNORMAL_BOXMULLER2 VSL_RNG_METHOD_LOGNORMAL_BOXMULLER2_ACCURATE
Box Muller 2 based method VSL_RNG_METHOD_LOGNORMAL_ICDF VSL_RNG_METHOD_LOGNORMAL_ICDF_ACCURATE Inverse cumulative distribution function based method |
stream |
VSLStreamStatePtr |
Pointer to the stream state structure |
n |
const MKL_INT |
Number of random values to be generated |
a |
const float for vsRngLognormal const double for vdRngLognormal |
Average a of the subject normal distribution |
sigma |
const float for vsRngLognormal const double for vdRngLognormal |
Standard deviation σ of the subject normal distribution |
b |
const float for vsRngLognormal const double for vdRngLognormal |
Displacement b |
beta |
const float for vsRngLognormal const double for vdRngLognormal |
Scalefactor β. |
Name |
Type |
Description |
---|---|---|
r |
float* for vsRngLognormal double* for vdRngLognormal |
Vector of n lognormally distributed random numbers |
The vRngLognormal function generates lognormally distributed random numbers with average of distribution a and standard deviation σ of subject normal distribution, displacement b, and scalefactor β, where a, σ, b, β∈R ; σ > 0 , β > 0.
The probability density function is given by:
The cumulative distribution function is as follows:
Optimization Notice |
---|
Intel's compilers may or may not optimize to the same degree for non-Intel microprocessors for optimizations that are not unique to Intel microprocessors. These optimizations include SSE2, SSE3, and SSSE3 instruction sets and other optimizations. Intel does not guarantee the availability, functionality, or effectiveness of any optimization on microprocessors not manufactured by Intel. Microprocessor-dependent optimizations in this product are intended for use with Intel microprocessors. Certain optimizations not specific to Intel microarchitecture are reserved for Intel microprocessors. Please refer to the applicable product User and Reference Guides for more information regarding the specific instruction sets covered by this notice. Notice revision #20110804 |
Indicates no error, execution is successful.
stream is a NULL pointer.
stream is not a valid random stream.
Callback function for an abstract BRNG returns an invalid number of updated entries in a buffer, that is, < 0 or > nmax.
Callback function for an abstract BRNG returns 0 as the number of updated entries in a buffer.
Period of the generator has been exceeded.
Number of retries to generate a random number by using non-deterministic random number generator exceeds threshold.
ARS-5 random number generator is not supported on the CPU running the application.