At 02:46 AM 12/4/2006, Brian Beesley wrote:
>In any case
>a detected roundoff error of 0.5 cannot be reliably recovered from as it's
>impossible to guess accurately whether the correct integer is the "floor" or
>the "ceiling".

Actually, prime95 recovers from roundoff errors up to 0.6  (by redoing the
iteration using a safer, but 3 times slower, method).

I think Brian is trying to say that if you do no roundoff error detection and
recovery, then a program cannot recover from a roundoff error above 0.5.

>There is however a problem with some exponents when switching between
>computers - even with the same software version. If you switch from a
>non-SSE2-capable processor type to a SSE2-capable processor type, and the
>exponent is between the SSE2 and non-SSE2 run length limits, you will almost
>certainly end up with excess roundoff errors, and very likely with a wrong
>residue - even if all the roundoff errors were apparently recovered.

Prime95 should handle this OK.  It will convert the save file to the FFT length
appropriate for your machine.

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