#15554: enhance ratpoints interface
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Reporter: cremona | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.1
Component: number theory | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Changes (by cremona):
* changetime: 12/20/13 03:49:17 => 12/20/13 03:49:17
* time: 12/20/13 03:49:17 => 12/20/13 03:49:17
Old description:
> In sage/libs/ratpoints there is a cython interface to the standard
> ratpoints package (Michael Stoll's efficient C library for point
> searching on curves of the form {{{y^2=f(x)}}} for polynomials {{{f(x)}}}
> of any degree).
>
> The interface currently only allows the user to specify the coefficients
> of the polynomial, a height bound, and a maximum number of points to be
> found. But ratpoints has other parameters, in particular upper and lower
> bounds for the denominator of {{{x}}} (useful in searching for
> integralpoints) and the ability to search only for {{{x}}} in one or more
> real intervals.
>
> We propose to enhance the interface to allow non-defaults for all the
> ratpoints parameters, while remaining completely backwards compatible.
New description:
In sage/libs/ratpoints there is a cython interface to the standard
ratpoints package (Michael Stoll's efficient C library for point searching
on curves of the form {{{y^2=f(x)}}} for polynomials {{{f(x)}}} of any
degree).
The interface currently only allows the user to specify the coefficients
of the polynomial, a height bound, and a maximum number of points to be
found. But ratpoints has other parameters, in particular upper and lower
bounds for the denominator of {{{x}}} (useful in searching for integral
points) and the ability to search only for {{{x}}} in one or more real
intervals.
We propose to enhance the interface to allow non-defaults for all the
ratpoints parameters, while remaining completely backwards compatible.
This description was edited using sage -dev edit-ticket --ticket 15554 .
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Ticket URL: <http://trac.sagemath.org/ticket/15554#comment:1>
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