Hi, On Tue, Mar 26, 2019, at 12:10, George Spelvin wrote: > I started on a project to correct all of the instances of > "prandom_u32() % FOO" in the kernel (there are lots) > to "prandom_u32_max(FOO)".
The conversation definitely makes sense. Are you trying to fix the modulo biases? I think that prandom_u32_max also has bias, would that be worth fixing as well? > [...] > > Thw ones that seem interesting to me are: > - Chris Doty-Humphrey's sfc32. This is a 96-bit chaotic generator > (meaning period *probably* long but not well defined) fed with > a 32-bit counter to ensure a minimum period. It's extremely > fast, and the author is also the author of PractRand, so it's > well-tested. > - Vigna and Bacman's xoshiro128**. This is a 128-bit LFSR with some > output postprocessing. > - (on 64-bit machines) xoroshiro128**, by the same authors. > This is only efficient on 64-bit machines, so it would need > a have a 32-bit backup. > - Bob Jenkins' jsf (originally "flea"). 128 bits, good mixing, > fully chaotic. I prefer the safety of a guaranteed minimum > period, but this is well thought of. > - A lag-3 mutiply-with-carry generator. 2^32 - 1736 is the largest > "safe prime" mutiplier. I think tausworthe is not _trivially_ to predict, what about your proposed algorithms? I think it is a nice to have safety-net in case too much random numbers accidentally leaks (despite reseeding). Thanks, Hannes