#11683: ell_curve_isogeny initialization
-------------------------------+--------------------------------------------
Reporter: saraedum | Owner: cremona
Type: enhancement | Status: needs_review
Priority: minor | Milestone: sage-4.7.2
Component: elliptic curves | Keywords: startup, initialization, sd32
Work_issues: | Upstream: N/A
Reviewer: | Author: Julian Rueth, John Cremona
Merged: | Dependencies:
-------------------------------+--------------------------------------------
Changes (by newvalueoldvalue):
* status: new => needs_review
* author: Julian Rueth => Julian Rueth, John Cremona
Old description:
> The import of sage/schemes/elliptic_curves/ell_curve_isogeny.py (which
> happens on every startup of sage) takes a relatively big amount of time
>
> {{{
> $ time ./sage -startuptime|grep ell_curve_isogeny:
> ell_curve_isogeny: 0.133 (ell_field)
>
> real 0m0.994s
> user 0m0.810s
> sys 0m0.154s
> }}}
>
> Lazily computing the constants in this file helps a lot (see the attached
> patch):
>
> {{{
> $ time ./sage -startuptime|grep ell_curve_isogeny:
> ell_curve_isogeny: 0.001 (ell_field)
>
> real 0m0.849s
> user 0m0.672s
> sys 0m0.164s
> }}}
New description:
The import of sage/schemes/elliptic_curves/ell_curve_isogeny.py (which
happens on every startup of sage) takes a relatively big amount of time
{{{
$ time ./sage -startuptime|grep ell_curve_isogeny:
ell_curve_isogeny: 0.133 (ell_field)
real 0m0.994s
user 0m0.810s
sys 0m0.154s
}}}
Lazily computing the constants in this file helps a lot (see the attached
patch):
{{{
$ time ./sage -startuptime|grep ell_curve_isogeny:
ell_curve_isogeny: 0.001 (ell_field)
real 0m0.849s
user 0m0.672s
sys 0m0.164s
}}}
'''Apply:'''
1. [attachment:trac_11683_ell_curve_isogeny_speedup_combined.patch]
--
Comment:
The new patch includes the first two. I have added doctests which show
that the cached values are correctly computed. At the same time I
simplified the generic kernels a lot by using a better model for the
universal elliptic curve with l-isogeny (you should be able to see that a
lot more is deleted than added in the patch).
I added substantial explanation in the docstrings. So I hope this will be
acceptable! (I forgot to check rebuilding the docs, and will do that now
to try to catch any ReST markup problems.)
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11683#comment:12>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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