#4000: Implement QQ['x'] via Flint ZZ['x'] + denominator
----------------------------------------------------------+-----------------
Reporter: malb | Owner:
somebody
Type: enhancement | Status:
needs_work
Priority: major | Milestone:
sage-4.5.2
Component: basic arithmetic | Keywords:
Author: Sebastian Pancratz, Martin Albrecht | Upstream: N/A
Reviewer: John Cremona, Martin Albrecht, Alex Ghitza | Merged:
Work_issues: |
----------------------------------------------------------+-----------------
Comment(by was):
On sage.math, qq.patch applies to sage-4.5 and passes all tests except the
pickling test:
{{{
The following tests failed:
sage -t -long devel/sage/sage/misc/explain_pickle.py # 2 doctests
failed
sage -t -long devel/sage/sage/structure/sage_object.pyx # 0
doctests failed
}}}
And it's damned fast, compared to what is in sage now:
{{{
sage: R.<x> = QQ[]
sage: f = R.random_element(degree=100)
sage: timeit('f*f')
625 loops, best of 3: 29 µs per loop
sage: S.<x> = PolynomialRing(QQ,implementation='ntl')
sage: g = S.random_element(degree=100)
sage: timeit('g*g')
625 loops, best of 3: 1.29 ms per loop
sage: 1.29/0.029
44.4827586206897
sage: f = R.random_element(degree=1000)
sage: g = S.random_element(degree=1000)
sage: timeit('f*f')
625 loops, best of 3: 1.31 ms per loop
sage: timeit('g*g')
5 loops, best of 3: 104 ms per loop
sage: 104/1.31
79.3893129770992
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4000#comment:64>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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