#12103: Use MeatAxe as an optional back end for dense matrices over `GF(p^n)`, p
odd, n>1, `p^n<255`
-------------------------------------+-------------------------------------
Reporter: SimonKing | Owner: jason, was
Type: defect | Status: needs_work
Priority: major | Milestone: sage-6.4
Component: packages: | Resolution:
experimental | Merged in:
Keywords: linear algebra, | Reviewers:
MeatAxe | Work issues:
Authors: Simon King | Commit:
Report Upstream: None of the above | 191477e697d5fb02c0e6bf7f8b80850e1092d4f6
- read trac for reasoning. | Stopgaps:
Branch: |
u/SimonKing/meataxe |
Dependencies: #19240 |
-------------------------------------+-------------------------------------
Comment (by SimonKing):
It seems to work. With the commit that I am preparing now and that also
contains some doctests, I obtain:
{{{
sage: M = MatrixSpace(GF(27,'x'),5).random_element(density=0.4)
sage: M.rank()
5
sage: ~M
[ 1 x^2 + 2*x + 2 0 0 0]
[ x^2 + 2*x 2*x^2 + 2 x^2 0 x^2 + x + 2]
[ x^2 + 2 x^2 2*x^2 2*x^2 + 1 x^2 + 2]
[ 1 x^2 + x 2*x 0 0]
[ 2*x^2 + x x 0 0 0]
sage: M = MatrixSpace(GF(27,'x'),5).random_element(density=0.4)
sage: M.rank()
4
sage: ~M
---------------------------------------------------------------------------
ZeroDivisionError Traceback (most recent call
last)
<ipython-input-6-1888fd9efc66> in <module>()
----> 1 ~M
/home/king/Sage/git/sage/src/sage/matrix/matrix_gfpn_dense.pyx in
sage.matrix.matrix_gfpn_dense.Matrix_gfpn_dense.__invert__
(build/cythonized/sage/matrix/matrix_gfpn_dense.c:12186)()
1032 OUT._cache = {}
1033 sig_on()
-> 1034 OUT.Data = MatInverse(self.Data)
1035 sig_off()
1036 if OUT.Data != NULL:
ZeroDivisionError: Division by zero in file matinv.c (line 50)
}}}
--
Ticket URL: <http://trac.sagemath.org/ticket/12103#comment:128>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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