#12142: Speed up Pari finite field operations
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Reporter: johanbosman | Owner: AlexGhitza
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-5.11
Component: basic arithmetic | Resolution:
Keywords: | Work issues:
Report Upstream: N/A | Reviewers:
Authors: Peter Bruin | Merged in:
Dependencies: #14817, #14818, #14832, #14833 | Stopgaps:
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Comment (by pbruin):
Here are some timings for addition and multiplication in the various
implementations:
{{{
x, y random elements of a field of p^n elements
all times in microseconds
Addition: %timeit -c -r 1 x + y
(p, n) ntl/gf2e givaro pari_ffelt pari_mod
(2, 15) 0.85 0.45 0.95 15.1
(2, 5000) 1.06 ---- 1.84 3300
(3, 10) ---- 0.47 1.14 12.5
(3, 80) ---- ---- 1.75 44
(251, 2) ---- 0.51 1.30 9.0
Multiplication: %timeit -c -r 1 x * y
(p, n) ntl/gf2e givaro pari_ffelt pari_mod
(2, 15) 1.11 0.61 1.51 22
(2, 1000) 5.0 ---- 61 1060
(3, 10) ---- 0.57 4.0 19
(3, 80) ---- ---- 36 99
(251, 2) ---- 0.56 1.69 12.1
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12142#comment:8>
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