#4260: use LinBox as native matrix representation for dense matrices over GF(p)
----------------------------------+-----------------------------------------
Reporter: malb | Owner: cpernet
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-4.7.2
Component: linear algebra | Keywords: linbox, linear algebra,
sd32
Work_issues: improve echelonize | Upstream: N/A
Reviewer: | Author: Burcin Erocal, Martin
Albrecht, Rob Beezer
Merged: | Dependencies:
----------------------------------+-----------------------------------------
Old description:
> Copying to and from LinBox uses up precious RAM and the point of fast
> linear algebra is to deal with large matrices. We should consider
> switching to LinBox as the native representation of matrices over GF(p)
>
> '''Without Patch'''
>
> {{{
> #!python
> sage: A = random_matrix(GF(97),2000,2000)
> sage: %time A*A
> CPU times: user 9.66 s, sys: 0.12 s, total: 9.77 s
> Wall time: 9.82 s
> }}}
>
> '''With Patch'''
> {{{
> #!python
> sage: A = random_matrix(GF(97),2000,2000)
> sage: %time A*A
> CPU times: user 1.32 s, sys: 0.00 s, total: 1.32 s
> Wall time: 1.35 s
> }}}
>
> '''Magma'''
>
> {{{
> > A:=RandomMatrix(GF(97),2000,2000);
> > time C:=A*A;
> Time: 1.560
> }}}
>
> * '''Install'''
> http://sage.math.washington.edu/home/malb/spkgs/linbox-1.1.6.p4.spkg
> * '''Apply''' [attachment:trac_4260-linbox_default.patch]
> * '''Apply''' [attachment:trac_4260-dense_ctypes_template.patch]
> * '''Apply''' [attachment:trac_4260-matrix-modn-docs.patch]
> * '''Apply''' [attachment:trac_4260_more_doctests.patch]
New description:
Copying to and from LinBox uses up precious RAM and the point of fast
linear algebra is to deal with large matrices. We should consider
switching to LinBox as the native representation of matrices over GF(p)
'''Without Patch'''
{{{
#!python
sage: A = random_matrix(GF(97),2000,2000)
sage: %time A*A
CPU times: user 9.66 s, sys: 0.12 s, total: 9.77 s
Wall time: 9.82 s
}}}
'''With Patch'''
{{{
#!python
sage: A = random_matrix(GF(97),2000,2000)
sage: %time A*A
CPU times: user 1.32 s, sys: 0.00 s, total: 1.32 s
Wall time: 1.35 s
}}}
'''Magma'''
{{{
> A:=RandomMatrix(GF(97),2000,2000);
> time C:=A*A;
Time: 1.560
}}}
* '''Install'''
http://sage.math.washington.edu/home/malb/spkgs/linbox-1.1.6.p4.spkg
* '''Apply''' [attachment:trac_4260-linbox_default.patch]
* '''Apply''' [attachment:trac_4260-dense_ctypes_template.patch]
* '''Apply''' [attachment:trac_4260-matrix-modn-docs.patch]
* '''Apply''' [attachment:trac_4260_more_doctests.patch]
* '''Apply''' [attachment:trac_4260_echelonformdomain.patch]
--
Comment(by malb):
The additional patch makes us use the old EchelonFormDomain interface
which is twice as fast (as Clément explained). Simon, can you review this
ticket?
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4260#comment:23>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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