#16812: use FLINT to speed up Chebyshev T polynomial creation
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Reporter: rws | Owner:
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.4
Component: symbolics | Resolution:
Keywords: flint, speedup | Merged in:
Authors: Ralf Stephan | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/rws/use_flint_to_speed_up_chebyshev_t_polynomial_creation|
cc2e34f198961ba4af7b15a925cf893e77898b24
Dependencies: | Stopgaps:
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Comment (by fredrik.johansson):
Replying to [comment:23 rws]:
> I would also say there is a bug in mpmath because it cannot evaluate
`chebyshev_T(10^6, 0.1)` without throwing a `mpmath.NoConvergence` while
Sage's recursive algorithm is happy:
Yep, mpmath currently doesn't optimize Chebyshev polynomials in any way
for integer n (it always just calls 2F1). So there's no reason for Sage to
use it for numerical evaluation.
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Ticket URL: <http://trac.sagemath.org/ticket/16812#comment:26>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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