#13256: abs floor ceil for quadratic number field
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Reporter: vdelecroix | Owner: vdelecroix
Type: enhancement | Status: new
Priority: major | Milestone: sage-5.3
Component: number fields | Keywords: absolute value, floor,
ceiling, number field, quadratic
Work issues: | Report Upstream: N/A
Reviewers: | Authors: Vincent Delecroix
Merged in: | Dependencies: #7160, #13213
Stopgaps: |
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Implementation of absolute value (abs), floor (floor) and ceiling (ceil)
function for elements in quadratic number field. This depends (not very
much) on comparisons in quadratic number fields implemented in tickects
#7160 and #13213.
Strangely enough, floor and ceil functions are much faster than abs
function! The reason is because the comparison in #13213 which is called
in abs is actually very slow.
{{{
sage: sage: K.<sqrt2> = QuadraticField(2, name='sqrt2')
sage: %timeit abs(sqrt2)
125 loops, best of 3: 2.22 ms per loop
sage: %timeit floor(sqrt2)
625 loops, best of 3: 3.37 µs per loop
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13256>
Sage <http://www.sagemath.org>
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