#5396: Wrapping lcalc library
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Reporter: rishi | Owner: Rishi
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-4.3.1
Component: number theory | Keywords: lcalc
Work_issues: | Author: rishi, ylchapuy
Upstream: N/A | Reviewer: John Cremona
Merged: |
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Comment(by rishi):
Thanks Bober for the comment about compiling lcalc.
I wrote the two functions to generate L functions of Dirichlet characters
and Elliptic Curves exclusively for testing of wrapper. It was not
supposed to be for end users at all. I wrote very simple function whose
sole purpose was to not introduce any bugs. In fact they were in a file
called for_testing.py till the refactor of code.
Can we do optimization outside the wrapper itself.
Maybe we can write new functions in the lfunctions directory to generate
elliptic curve, modular forms and dirichlet lfunctions.
Replying to [comment:44 bober]:
> Suggestion: in the function Lfunction_from_character, instead of calling
chi.gauss_sum(), call chi.gauss_sum_numerical(). It is much faster, and in
the end we are only interested in the numerical approximation anyway.
>
> {{{
> sage: G = DirichletGroup(101)
> sage: chi = G[1]
> sage: time A = chi.gauss_sum()
> CPU times: user 19.05 s, sys: 0.02 s, total: 19.07 s
> Wall time: 19.07 s
> sage: time B = chi.gauss_sum_numerical()
> CPU times: user 0.06 s, sys: 0.00 s, total: 0.06 s
> Wall time: 0.06 s
> }}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5396#comment:45>
Sage <http://www.sagemath.org>
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