#17379: Add a 'all' option to the .nth_root() method of algebraic numbers
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Reporter: tmonteil | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.5
Component: number fields | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Description changed by tmonteil:
Old description:
> There is currently no `all` option for the .nth_root() method of
> algebraic numbers:
>
> {{{
> sage: a = QQbar(-1)
> sage: a.nth_root(3)
> 0.500000000000000? + 0.866025403784439?*I
> sage: a.nth_root(3, all=True)
> ...
> TypeError: nth_root() got an unexpected keyword argument 'all'
> }}}
>
> while such an option exists for other representations of complex numbers:
>
> {{{
> sage: a = CDF(-1)
> sage: sage: a.nth_root(3)
> 0.5000000000000001 + 0.8660254037844386*I
> sage: sage: a.nth_root(3, all=True)
> [0.5000000000000001 + 0.8660254037844386*I,
> -1.0 + 3.4393603416671414e-16*I,
> 0.49999999999999933 - 0.8660254037844389*I]
> }}}
>
> The aim of this ticket is to provide one.
New description:
There is currently no `all` option for the `.nth_root()` method of
algebraic numbers:
{{{
sage: a = QQbar(-1)
sage: a.nth_root(3)
0.500000000000000? + 0.866025403784439?*I
sage: a.nth_root(3, all=True)
...
TypeError: nth_root() got an unexpected keyword argument 'all'
}}}
while such an option exists for other representations of complex numbers:
{{{
sage: a = CDF(-1)
sage: sage: a.nth_root(3)
0.5000000000000001 + 0.8660254037844386*I
sage: sage: a.nth_root(3, all=True)
[0.5000000000000001 + 0.8660254037844386*I,
-1.0 + 3.4393603416671414e-16*I,
0.49999999999999933 - 0.8660254037844389*I]
}}}
The aim of this ticket is to provide one. This feature was requested today
during a workshop at Villetaneuse.
--
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Ticket URL: <http://trac.sagemath.org/ticket/17379#comment:1>
Sage <http://www.sagemath.org>
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