On Jan 27, 2008, at 10:55 PM, David Harvey wrote:

>> We actually know what the first few digits (or, actually, all of  
>> them)
>> of *compare* are: 10000000...
>
> Sorry, you're right, I wasn't very coherent.
>
> What I think I meant was to quickly compute the top few *binary*
> digits of "compare". The reason for this is that everything is stored
> internally in binary, so it's very easy to read off the top few
> *binary* digits of "self".

BTW I think the following might be relevant:

sage: I = RealInterval(10.0, 10.0)
sage: I
[10.000000000000000 .. 10.000000000000000]
sage: I**10000
[9.9999999999993908e9999 .. 1.0000000000000429e10000]

I don't know exactly what this means, since I don't understand enough  
about the semantics of the constructor, but surely someone like Carl  
Witty would know.

(and is this is a bug:

sage: I**1000000000
[2.0985787164673874e323228496 .. +infinity]

???)

david


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