#4132: [with new patch, needs a bit more work] complex arithmetic passes via
pari
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Reporter: robertwb | Owner: AlexGhitza
Type: enhancement | Status: assigned
Priority: major | Milestone: sage-3.1.3
Component: basic arithmetic | Resolution:
Keywords: |
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Changes (by AlexGhitza):
* summary: [with patch, nearly positive review] complex arithmetic
passes via pari => [with new patch, needs a bit
more work] complex arithmetic passes via pari
Comment:
Hi Robert,
Thanks for looking at this so carefully! I have uploaded an additional
patch that gets rid of the long's and avoids computing cosh's as you
suggested. This does indeed speed things by about 1/4. Having seen your
other comment, can I leave it to you to make sqrt fast? I tried the code
you posted above and it is really fast, but I didn't look into stability
questions.
On a related note, I emailed Paul Zimmermann to ask if MPFR could get a
function mpfr_sinh_cosh() sometime in the future. Then I stumbled upon
his library MPC (see http://www.multiprecision.org/mpc/ ). Should we
start thinking about using this as the backbone for arbitrary precision
complex numbers, the same way we use MPFR for real numbers?
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4132#comment:11>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
Reinventing the Wheel
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