PRNG User Manual

On a b-bit computer, the size of the modulus is limited by 2^b-1, that is 2147483648 on a 32 bit machine or 9223372036854775808 on a 64 bit architecture. As of version 1.3 the library will reject larger moduli.
The library relies on controlled overflow. If you feel uncomfortable with that, restrict your choice of moduli to numbers < 2^b-2,
and disable the check for power of two moduli in mult_mod_setup (support.c). Run the supplied validate program if you have doubts about this.
The library does NOT test if the parameters are valid for the chosen generator. The user is responsible for ensuring that the modulus of an inversive generator is a prime, or that the choice of parameters will lead to an optimal period length.
IT IS THUS NOT A GOOD IDEA TO JUST USE ARBITRARY NUMBERS.
This chapter contains recommended values for all implemented generator types.
Do not base your simulation on a single generator. Even if you picked a good one you should verify the results using a completely different generator. There is no generator whose output does not exhibit an intrinsic structure, so it is in theory possible that this structure correlates to the simulation problem and thus leads to a skewed result. Do not use just other parameters for the verification but use a different generator type.
Small ( < 32767 ) factors will be faster than larger ones.