•the combined multiple recursive pseudorandom number generator MRG-32k3a [L'Ecuyer99a]
•the 59-bit multiplicative congruential pseudorandom number generator MCG(1313, 259) from NAG Numerical Libraries [NAG]
•Wichmann-Hill pseudorandom number generator (a set of 273 basic generators) from NAG Numerical Libraries [NAG]
•Mersenne Twister pseudorandom number generator MT19937 [Matsumoto98] with period length 219937-1 of the produced sequence
•Set of 6024 Mersenne Twister pseudorandom number generators MT2203 [Matsumoto98], [Matsumoto00]. Each of them generates a sequence of period length equal to 22203-1. Parameters of the generators provide mutual independence of the corresponding sequences.
•SIMD-oriented Fast Mersenne Twister pseudorandom number generator SFMT19937 [Saito08] with a period length equal to 219937-1 of the produced sequence.
Besides these pseudorandom number generators, VSL provides two basic quasi-random number generators:
•Sobol quasi-random number generator [Sobol76], [Bratley88], which works in arbitrary dimension. For dimensions greater than 40 the user should supply initialization parameters (initial direction numbers and primitive polynomials or direction numbers) by using vslNewStreamEx function. See additional details on interface for registration of the parameters in the library in VSL Notes.
•Niederreiter quasi-random number generator [Bratley92], which works in arbitrary dimension. For dimensions greater than 318 the user should supply initialization parameters (irreducible polynomials or direction numbers) by using vslNewStreamEx function. See additional details on interface for registration of the parameters in the library in VSL Notes.
See some testing results for the generators in VSL Notes and comparative performance data at http://software.intel.com/sites/products/documentation/hpc/mkl/vsl/vsl_data/vsl_performance_data.htm.
VSL provides means of registration of such user-designed generators through the steps described in Advanced Service Routines.