#20756: sign is slow (if not wrong) for number field elements
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Reporter: vdelecroix | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-7.3
Component: number fields | Keywords: days74
Merged in: | Authors: Vincent Delecroix
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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{{{
sage: R.<x> = ZZ[]
sage: p = R.random_element(degree=20) + x**21
sage: r = p.roots(AA, False)
sage: K.<a> = NumberField(p, embedding=r[0])
sage: %time sign(a)
CPU times: user 1.34 s, sys: 0 ns, total: 1.34 s
Wall time: 1.33 s
-1
sage: b = continued_fraction(a).convergent(20) - a
sage: sign(b)
sgn(3^(1/100) - 179093512558/177136737587)
sage: %time sign(b)
CPU times: user 8.35 s, sys: 20 ms, total: 8.37 s
Wall time: 8.32 s
sgn(3^(1/100) - 179093512558/177136737587)
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/20756>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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