#5396: Wrapping lcalc library
------------------------------------------+---------------------------------
Reporter: rishi | Owner: Rishi
Type: enhancement | Status: needs_info
Priority: major | Milestone: sage-4.3.2
Component: number theory | Keywords: lcalc
Author: rishi, ylchapuy | Upstream: N/A
Reviewer: John Cremona, David Kirkby | Merged:
Work_issues: |
------------------------------------------+---------------------------------
Comment(by rishi):
Replying to [comment:55 drkirkby]:
> As you can tell, this is outside my Mathematical knowledge, but just a
few comments.
>
> * If this behaves differently to what someone might expect, then it
should be documented how it works. I believe John is an expert in this
area and he was surprised by the behavior, then clearly it could cause
confusion.
The center being at half is documented. The key line is
\Lambda(s) = \omega Q^s \overline{\Lambda(1-\bar s)}
> * Since John's computed an computed a result with high precision, I
would put that as a comment in the test code.
lcalc uses double to compute. The high precision is not possible. There is
another ticket which contains documentation about loss of precision when
calculating derivatives.
> * I recall William once saying lcalc was very fast, but to me at least,
this is not computing a very accurate result. I would suggest that should
also be documented too. along with slower, but more accurate alternatives.
Using double makes things fast, but they will not be as accurate as using
a multiprecision library.
>
> Dave
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5396#comment:58>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To post to this group, send email to [email protected].
To unsubscribe from this group, send email to
[email protected].
For more options, visit this group at
http://groups.google.com/group/sage-trac?hl=en.
