Notes for Intel® oneAPI Math Kernel Library Vector Statistics
ID
772987
Date
6/30/2025
Public
3D Spheres Test
Birthday Spacing Test
Bitstream Test
Rank of 31x31 Binary Matrices Test
Rank of 32x32 Binary Matrices Test
Rank of 6x8 Binary Matrices Test
Count-the-1's Test (Stream of Bits)
Count-the-1's Test (Stream of Specific Bytes)
Craps Test
Parking Lot Test
Self-Avoiding Random Walk Test
Template Test
Uniform (VSL_RNG_METHOD_UNIFORM_STD/VSL_RNG_METHOD_UNIFORM_STD_ACCURATE)
Gaussian (VSL_RNG_METHOD_GAUSSIAN_BOXMULLER)
Gaussian (VSL_RNG_METHOD_GAUSSIAN_BOXMULLER2)
Gaussian (VSL_RNG_METHOD_GAUSSIAN_ICDF)
GaussianMV (VSL_RNG_METHOD_GAUSSIANMV_BOXMULLER)
GaussianMV (VSL_RNG_METHOD_GAUSSIANMV_BOXMULLER2)
GaussianMV (VSL_RNG_METHOD_GAUSSIANMV_ICDF)
Exponential (VSL_RNG_METHOD_EXPONENTIAL_ICDF/VSL_RNG_METHOD_EXPONENTIAL_ICDF_ACCURATE)
Laplace (VSL_RNG_METHOD_LAPLACE_ICDF)
Weibull (VSL_RNG_METHOD_WEIBULL_ICDF/ VSL_RNG_METHOD_WEIBULL_ICDF_ACCURATE)
Cauchy (VSL_RNG_METHOD_CAUCHY_ICDF)
Rayleigh (VSL_RNG_METHOD_RAYLEIGH_ICDF/ VSL_RNG_METHOD_RAYLEIGH_ICDF_ACCURATE)
Lognormal (VSL_RNG_METHOD_LOGNORMAL_ BOXMULLER2/VSL_RNG_METHOD_LOGNORMAL_BOXMULLER2_ACCURATE)
Lognormal (VSL_RNG_METHOD_LOGNORMAL_ICDF/VSL_RNG_METHOD_LOGNORMAL_ICDF_ACCURATE)
Gumbel (VSL_RNG_METHOD_GUMBEL_ICDF)
Gamma (VSL_RNG_METHOD_GAMMA_GNORM/ VSL_RNG_METHOD_GAMMA_GNORM_ACCURATE)
Beta (VSL_RNG_METHOD_BETA_CJA/ VSL_RNG_METHOD_BETA_CJA_ACCURATE)
ChiSquare (VSL_RNG_METHOD_CHISQUARE_CHI2GAMMA)
Uniform (VSL_RNG_METHOD_UNIFORM_STD)
UniformBits (VSL_RNG_METHOD_UNIFORMBITS_STD)
UniformBits32 (VSL_RNG_METHOD_UNIFORMBITS32_STD)
UniformBits64 (VSL_RNG_METHOD_UNIFORMBITS64_STD)
Bernoulli (VSL_RNG_METHOD_BERNOULLI_ICDF)
Geometric (VSL_RNG_METHOD_GEOMETRIC_ICDF)
Binomial (VSL_RNG_METHOD_BINOMIAL_BTPE)
Hypergeometric (VSL_RNG_METHOD_HYPERGEOMETRIC_H2PE)
Poisson (VSL_RNG_METHOD_POISSON_PTPE)
Poisson (VSL_RNG_METHOD_POISSON_POISNORM)
PoissonV (VSL_RNG_METHOD_POISSONV_POISNORM)
NegBinomial (VSL_RNG_METHOD_NEGBINOMIAL_NBAR)
Multinomial (VSL_RNG_METHOD_MULTINOMIAL_MULTPOISSON)
BRNG Test Descriptions
Most of empirical tests used for the VS BRNGs are well documented (for example, see [Mars95], [Ziff98]). This section describes these tests and the testing procedure in greater detail since tests may vary in their applicability and implementation for a particular BRNG. In addition, this section provides figures of merit that are used to decide on passing vs. failure in one- or two level testing. For the underlying criteria of the test, see Interpreting Test Results section.
NOTE:
This section does not discuss non-deterministic RNGs. These generators are tested using a battery of NIST tests, a statistical test suite for random generators for cryptographic applications, [NIST800-22].
Parent topic: Testing of Basic Random Number Generators
- 3D Spheres Test
- Birthday Spacing Test
- Bitstream Test
- Rank of 31x31 Binary Matrices Test
- Rank of 32x32 Binary Matrices Test
- Rank of 6x8 Binary Matrices Test
- Count-the-1's Test (Stream of Bits)
- Count-the-1's Test (Stream of Specific Bytes)
- Craps Test
- Parking Lot Test
- Self-Avoiding Random Walk Test
- Template Test