Opened 9 years ago
Last modified 8 years ago
#10945 closed defect
Fix lots of minor docs and redundancy for riemann.pyx — at Version 3
Reported by: | kcrisman | Owned by: | burcin |
---|---|---|---|
Priority: | minor | Milestone: | sage-duplicate/invalid/wontfix |
Component: | calculus | Keywords: | riemann map complex plot |
Cc: | evanandel, jason, wdj, mvngu | Merged in: | |
Authors: | Reviewers: | ||
Report Upstream: | N/A | Work issues: | |
Branch: | Commit: | ||
Dependencies: | Stopgaps: |
Description (last modified by )
The Riemann mapping stuff is a great addition - excellent work!
But there are lots of minor problems that should be fixed. Here are some. Closing this ticket wouldn't require fixing them all, but if not, then explanations should be provided here and followup tickets (if needed) opened.
- Awkward phrasing:
Note that all the methods are numeric rather than analytic, for unusual regions or insufficient collocation points may give very inaccurate results.
This is hard to follow, though I see what it says. - There is also a 'reimann' several times, and a 'correspondance'.
- A lot of the code is redundant with
plot/complex_plot.pyx
. This should be factored out somehow, or imported, or whatever, unless it would lead to gross slowdowns.- Is there anything different about
complex_to_rgb
except that it's cdef'd (and the changes needed for that, including some efficiencies like the phase command)? - Similarly, the
ColorPlot
class is apparently identical to theComplexPlot
class, except that it's better documented, uses only the default interpolation, and won't take options. - Note that the documentation for
ColorPlot
only usescomplex_plot
!!! I view this as an error by mvngu and wdj in reviewing #6648, though that was a long review process so it's easy to see how it slipped through.
- Is there anything different about
- This also seems to have a transposition in how it's put in. Presumably the redefinition of
I
is supposed to demonstrate it works with lots of different complex types. I suggest the following.Can work for different types of complex numbers:: sage: m = Riemann_Map([lambda t: e^(I*t) - 0.5*e^(-I*t)], [lambda t: I*e^(I*t) + 0.5*I*e^(-I*t)], 0) # long time (4 sec) sage: m.riemann_map(0.25 + sqrt(-0.5)) # long time (0.137514137885...+0.876696023004...j) + sage: I = CDF.gen() # long time sage: m.riemann_map(1.3*I) # long time (-1.561029396...+0.989694535737...j) - sage: I = CDF.gen() # long time sage: m.riemann_map(0.4) # long time
- Add a few analytic examples as mentioned at #10792.
- Add any information at all about theoretical error bounds, if known. Since not everyone will be able to just look up that paper referenced, it would be helpful to have at least order of magnitude ideas (e.g., if N=2000 on a map from the unit circle to itself, we expect errors no greater than epsilon=blah).
Change History (3)
comment:1 Changed 9 years ago by
- Description modified (diff)
comment:2 Changed 9 years ago by
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comment:3 Changed 9 years ago by
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