#10132: Differential Geometry via Sage
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Reporter: mikarm | Owner: mhampton
Type: enhancement | Status: new
Priority: major | Milestone:
Component: geometry | Keywords: differential geometry,
parametrized surface
Author: Mikhail Malakhaltsev | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Comment(by jvkersch):
Hi Mikhail,
Having read your reply, I agree with your point of view. Certainly it
would make the package more flexible to have a method to return individual
components, and one to return all components of the tensor at once. I was
too hasty in talking about the "Sage way".
It turns out there is a very easy way to cache the results of these
functions, by preceeding them with the decorator `...@cached_method`. I have
done a few preliminary tests, and it looks both easy to implement and
powerful. For most of the methods, this is the only modification that
needs to be made.
I have made a few simplifications to what I implemented previously, and I
will try to upload a new patch during the weekend, where I just add the
caching and exceptions. I will leave in the original methods so that we
can compare both approaches.
I just have one practical question for now: did you have a specific reason
for referring to the components of vectors and tensors by means of indices
starting from 1 instead of 0? It does not matter much for tensors (since
they are a dictionary anyway), but for vectors it would be easier to start
indexing from 0 instead of 1.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10132#comment:14>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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