- Lo(x)means obtaining lower 32 bits of the 64-bit unsigned integerx, that is,Lo(x) = xmod232.
- Hi(x)means obtaining upper 32 bits of the 64-bit unsigned integerx, that is,Hi(x) =⌊x/232⌋.
- ABCDmeans a 128-bit number composed of four 32-bit numbers A, B, C and D, that is
- nelements for the basic generators MCG31m1, R250, MRG32k3a, MT19937, MT2203, SOBOL, NIEDERR, Philox4x32-10 and ARS5.
- 2nelements for the basic generator MCG59.
- 4nelements for the basic generators WH and SFMT19937.