#18560: Upgrade arb to 2.6.0
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Reporter: cheuberg | Owner:
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.8
Component: packages: | Resolution:
optional | Merged in:
Keywords: arb | Reviewers:
Authors: Clemens Heuberger | Work issues:
Report Upstream: N/A | Commit:
Branch: | 3b534cbb91702fb1f7fd1dfd4b69974bb0411b4e
u/cheuberg/libs/arb-2.6.0 | Stopgaps:
Dependencies: |
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Comment (by jdemeyer):
Replying to [comment:23 fredrik.johansson]:
> 1. Print doctest examples with a few digits less than the computed
precision, so that most of the radius bound in the printed output comes
from the decimal rounding. This will only rarely cause a last digit to
flip over unpredictably. The disadvantage is that the doctest does not
show the actual computed interval. On the other hand, the output is a
neater representation of the mathematical value. For example, if you print
pi to 10 digits, you should always get [3.141592654 +/- 4.11e-10] beyond a
certain working precision (from 43 bits, in fact) since the actual
difference between pi and 3.141592654 is 4.102...e-10.
If we go with this, I would not make a difference between normal
interactive Sage output and doctests. Just print balls with fewer digits
always, like we already do for `RR`.
> 2. Implement a doctest directive that parses intervals and checks
whether the actual and expected outputs overlap (this could also take a
tolerance and verify that the new actual output is not too imprecise, e.g.
53-bit pi suddenly coming out as [3.1 +/- 0.1]).
This would require writing a much more complicated doctest parser
(remember you don't just want balls, but also polynomials/lists/matrices
with ball coefficients and then you'll also want support for complex
numbers, mpfi intervals and who knows what), I don't think this is a
realistic solution.
--
Ticket URL: <http://trac.sagemath.org/ticket/18560#comment:25>
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