#17131: Improve accuracy of polytopes.regular_polygon()
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Reporter: jdemeyer | Owner:
Type: defect | Status: needs_review
Priority: major | Milestone: sage-6.4
Component: geometry | Resolution:
Keywords: | Merged in:
Authors: Jeroen Demeyer | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/jdemeyer/ticket/17131 | 0001941d064c6f1b1c0be2aea078eae0fb232b21
Dependencies: | Stopgaps:
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Description changed by jdemeyer:
Old description:
> The function `polytopes.regular_polygon()` uses a hard-coded
> approximation of `pi` (3.14159265359) which has an error of 466 ulp.
> Moreover, it uses Python `float`s instead of `RR`, which breaks a doctest
> in #17130.
New description:
The function `polytopes.regular_polygon()` uses a hard-coded approximation
of `pi` (3.14159265359) which has an error of 466 ulp. Moreover, it uses
Python `float`s instead of `RR`.
Note: there are actually a lot of these fishy approximations (like
`QQ(1618033)/1000000` for the golden ratio). Since this ticket is intended
to avoid a doctest failure in #17130, I only fixed `regular_polygon()`.
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Ticket URL: <http://trac.sagemath.org/ticket/17131#comment:3>
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