#15486: Lazy Evaluation for Modular Forms
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Reporter: elarson3 | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-5.13
Component: modular forms | Keywords:
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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The runtime of the Newforms function is unacceptable for large conductors.
This is because in the _ _init_ _ method of the ModularFormsAmbient_R
class (in modular/modform/ambient_R.py), the object attribute _
_R_character is precomputed. However, this precomputation can be very
expensive, and is unnecessary when calling many functions (e.g. Newforms).
Thus, it should be done with lazy evaluation.
For a benchmark --- This reduces the runtime of Newforms(719, names='a')
to 3--4 sec... from its previous value of over a day (interrupted before
completion)!
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Ticket URL: <http://trac.sagemath.org/ticket/15486>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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