#9343: Upgrade PARI to svn snapshot 12577 - a pre-release of PARI 2.4.3.
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Reporter: was
| Owner: jdemeyer
Type: enhancement
| Status: needs_review
Priority: major
| Milestone: sage-4.6
Component: packages
| Keywords:
Author: Robert Bradshaw, John Cremona, Jeroen Demeyer, William Stein,
David Kirkby | Upstream: N/A
Reviewer:
| Merged:
Work_issues:
|
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Comment(by davidloeffler):
Replying to [comment:235 drkirkby]:
> Does anyone know what the result should be? For the first result, I get
the '''real number''' {{{2.9757207403766761469671194565}}} but the
expected value is the '''complex number'''
{{{2.9757207403766761469671194565 -
1.2983430720865060515202099613e-47*I}}} So for the real part I get
'''exactly''' the same number, but I get no imaginary part whatsoever.
>
> I assume someone here must know the maths behind this, and know whether
the result is supposed to be real or complex. If it should really be real
(so the number I got is actually the more accurate of the two), then
putting dots would be '''very''' dangerous. Then a result of
{{{2.9757207403766761469671194565 + 1e300*I}}} would still pass! That's
almost entirely imaginary, with a very small real part in comparison to
the massive imaginary component.
Maybe rather than directly testing the answer, one could do something like
this:
{{{
sage: x = [calculation]; abs(x - 2.975975720740376676146967119) < 10^(-27)
True
}}}
That would be less dangerous, while still allowing the necessary
flexibility.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9343#comment:236>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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