I wouldn't mention these numbers to Hillis.
.xX
On Aug 8, 2008, at 6:50 AM, Steve Mokris <[EMAIL PROTECTED]> wrote:
However, at such large values you loose lots of low-value precision
(i.e. 1e300 + 1.0 == 1e300), so depending on the kind of data
you're working with that might become a problem.
So therefore I think the original question could be restated as
something like:
"If you're accumulating at 1000.0 units per second, how long
until Integrator stops working because the accumulated value is so
much larger than the delta, that adding the delta has no appreciable
effect?"
...and there's maybe a chance the answer to this question could be
relevant within our universe's lifespan.
Some quick theoretical calculations I performed suggest that it
starts to lose accuracy around 1e16 (when incrementing by 1000.0),
and loses all hope around 1e19. Thus Integrator can safely be used
for about 1e13 seconds, or about 317,000 years.
So for most purposes this should be fine, but it probably wouldn't
be acceptable to the Long Now Foundation. :^)
Steve
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