#11273: Riemann Enhancements: Docs, Exterior, Multiple Spiderweb, Error Testing
-----------------------------------+----------------------------------------
Reporter: evanandel | Owner: burcin
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-5.6
Component: calculus | Resolution:
Keywords: riemann map | Work issues:
Report Upstream: N/A | Reviewers: Burcin Erocal, Karl-Dieter
Crisman
Authors: Ethan Van Andel | Merged in:
Dependencies: #11028 | Stopgaps:
-----------------------------------+----------------------------------------
Changes (by jdemeyer):
* work_issues: see comments =>
Old description:
> This is a major upgrade of the riemann module. Features are:
>
> Fixes and expansions to the docs, covering the issues in #10945.
>
> I've added some test methods that compute the explicit map of an ellipse
> to a high degree of accuracy. The doctests for these methods contain
> tests that show that the numerical Riemann_Map values remain accurate.
> The precision of the normal doctests has been reduced accordingly, so
> hopefully they will no longer fail for different architectures/numpy
> versions. This covers #10957
>
> The exterior Riemann map can now be computed, that is a conformal mapping
> of the exterior of a region to the exterior of the unit circle. The docs
> specify how this may be done.
>
> I've added support for computing the spiderweb plot for multiply
> connected domains. This uses a different method than the simply connected
> spiderweb and is takes about the same time as a color plot of the same
> resolution. (It's worth noting that I don't think this has ever been done
> before.)
>
> I've also fiddled around under the hood, cleaning up some code, moving
> things around for more efficiency and trying to add a few more helpful
> inline comments.
>
> ----
>
> Apply [attachment:trac_11273-rebase-part1.patch], [attachment:trac_11273
> -rebase-part2.patch], [attachment:trac_11273-rebase-part3.patch],
> [attachment:trac_11273-reviewer.patch], and
> [attachemnt:trac_11273-fix.patch].
New description:
This is a major upgrade of the riemann module. Features are:
Fixes and expansions to the docs, covering the issues in #10945.
I've added some test methods that compute the explicit map of an ellipse
to a high degree of accuracy. The doctests for these methods contain tests
that show that the numerical Riemann_Map values remain accurate. The
precision of the normal doctests has been reduced accordingly, so
hopefully they will no longer fail for different architectures/numpy
versions. This covers #10957
The exterior Riemann map can now be computed, that is a conformal mapping
of the exterior of a region to the exterior of the unit circle. The docs
specify how this may be done.
I've added support for computing the spiderweb plot for multiply connected
domains. This uses a different method than the simply connected spiderweb
and is takes about the same time as a color plot of the same resolution.
(It's worth noting that I don't think this has ever been done before.)
I've also fiddled around under the hood, cleaning up some code, moving
things around for more efficiency and trying to add a few more helpful
inline comments.
----
Apply [attachment:trac_11273-rebase-part1.patch], [attachment:trac_11273
-rebase-part2.patch], [attachment:trac_11273-rebase-part3.patch],
[attachment:trac_11273-reviewer.patch], and
[attachment:trac_11273-fix.patch].
--
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11273#comment:19>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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