Binomial distribution with parameters

ntrial

and

p

. If ntrial⋅min(

p

,1 -

p

) ≥ 30, random numbers of the binomial distribution are generated by the BTPE method (see [Kach88] for details). Otherwise, a combination of inverse transformation and table lookup methods is used. The BTPE method is a variation of the acceptance/rejection method that uses linear (on the fractions close to the distribution mode) and exponential (at the distribution tails) functions as majorizing functions. To avoid time-consuming acceptance/rejection checks, areas with zero probability of rejection are introduced and a squeezing technique is applied.

See Intel® oneAPI Math Kernel Library Vector Statistics Random Number Generator Performance Data for test results summary and performance graphs.