Hello,

Catching up on email after the holidays...

On 01/05/2012 09:58 AM, Doug Lea wrote:
On 01/05/12 01:02, Bill Pugh wrote:

So I think the right thing to do is to abandon the original patch, and instead
make the following changes:

    * add the following method to BigInteger public boolean
*isProbablePrime*(int certainty, Random end) , which allows primality testing with arbitrary Random objects. In many cases, using a well seeded normal Random object will work just fine, and this will give users the
      ability to provide their own Random objects
* Document SecureRandom to note that all instances of SecureRandom depend on a common shared source of randomness, and thus it can be a concurrency
      bottlenck.
* Document that BigInteger.*isProbablePrime*(int certainty) is a concurrency
      bottleneck.

This all sounds perfect to me.
Joe Darcy - do you have any thoughts?

Hmmm. While the API changes appear fine at first, I'm a bit concerned about how to make isProbablePrime*(int certainty, Random end) suitably robust against possibly adversarial sources of randomness (all zeros, all ones, etc.) The number-theoretic primarily tests used by the existing isProbablePrime(int) rely on a good source of random bits; I'd have to research what the weakest assumptions on the source of randomness are for the existing checks to still be valid.

I think informative (not normative) notes in the javadoc on the latter two points would be fine.

Cheers,

-Joe

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