#8896: 0.0000000000000000000000000000 is parsed completely differently than
1.0000000000000000000000000000 for no good reason
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Reporter: was | Owner: AlexGhitza
Type: defect | Status: needs_info
Priority: minor | Milestone: sage-4.7.1
Component: basic arithmetic | Keywords:
Work_issues: | Upstream: N/A
Reviewer: Mariah Lenox | Author: Robert Bradshaw
Merged: | Dependencies:
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Comment(by robertwb):
Replying to [comment:25 jdemeyer]:
> In my opinion, this ticket is a huge can of worms and a bad idea. I
don't see any mathematically consistent reason who 0.0 '''should''' be
treated differently than 0.0000000000000.
It's exactly the same reason that 1.0 is treated differently than
1.0000000000000000000000. The (value-preserving) trailing zeros indicate
higher precision.
> I really think the current behaviour of Sage is what makes the most
sense (mathematically) so I am not in favour of this ticket. Of course,
if the majority thinks this patch is a good idea then I'm all for it.
>
> One thing about the patch which is very unclear is why zero is treated
differently from other numbers.
Because otherwise there's now way to write a high-precision zero (in fact
I can't think of any other interpretation of a large number of trailing
zeros).
> Consider::
> {{{
> sage: (0.0).prec()
> 53
> sage: (0.1).prec()
> 53
> sage: (000000000000000000000.0).prec()
> 77
> sage: (000000000000000000000.1).prec()
> 53
> sage: (0.000000000000000000000).prec()
> 77
> sage: (0.000000000000000000001).prec()
> 53
> }}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8896#comment:26>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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