OpenEuphoria

Re: Big integer atoms

• Posted by "Igor Kachan" <kinz at peterlink.ru> Jul 12, 2004
• 524 views

Hello Christian,

You wrote:

----------
> From: Christian Cuvier <Christian.CUVIER at agriculture.gouv.fr>
> To: EUforum at topica.com
> Subject: Re: Big integer atoms
> Sent: 12 jul 2004 y. 13:40
> 
> > This "up to about 15 decimal digits" seems to be not
> > enough concrete thing for some cases.
> > 
> > Couldn't someone tell me about more precise
> > bounds of these "larger integer values"?
> > 
> > Thanks!
> > 
> > Regards,
> > Igor Kachan
> > kinz at peterlink.ru
> > 
> 
> 	When using doubles to store numbers (that's what Eu atoms physically
are), 53 
> out of the 64 available bits hold numerical info. The remainder is
> for (biased) exponent and sign. This holds true on both Intel and m68k
chips.
> 
> 	2^53 uses 15 or 16 decimal places to be written. This means that
> integer computations with 15 decimal digits can still be done without
> precision loss using atoms. At 16, you may encounter rounding off errors,
and
> there will be some at 17 and beyond quite definitely. I say "may" because
of
> the implied leading 1 in the mantissa, which gives you a little more
leeway.
> 
> 	Extended floats are more hardware specific, so that Eu can't easily
> support them. And it would extend the no accuracy loss range to 18 digits
> only.

Thanks for the additional information.
Good Luck!

> Regards.
> CChris

Regards,
Igor Kachan
kinz at peterlink.ru