#13256: abs floor ceil for quadratic number field
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Reporter: vdelecroix |
Owner: vdelecroix
Type: enhancement |
Status: needs_review
Priority: major |
Milestone: sage-5.3
Component: number fields |
Resolution:
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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Changes (by vdelecroix):
* status: new => needs_review
Old description:
> 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
> }}}
New description:
Implementation of absolute value (abs), floor (floor) and ceiling (ceil)
function for elements in quadratic number field.
The function abs depends on the function sign implemented in tickets #7160
and #13213.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13256#comment:1>
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