#4446: New module complex_mpc using lib mpc for complex multiprecision
arithmetic
--------------------------------+-------------------------------------------
Reporter: thevenyp | Owner: mabshoff
Type: enhancement | Status: needs_info
Priority: major | Milestone: sage-4.3.4
Component: basic arithmetic | Keywords:
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
--------------------------------+-------------------------------------------
Comment(by ylchapuy):
First, I added a small patch to rebase this on sage 4.3.3.
One need to apply:
* mpc-0.8.1.patch
* bug_literal.patch
* trac4446-rebase_sage4.3.3.patch
in this order; and of course install the spkg:
* http://yann.laiglechapuy.net/spkg/mpc-0.8.1.p0.spkg
Then, here is an example with the exact input (I only put the last part
concerning `pow`)
{{{
a.real().exact_rational()
-1558022726154386835635734102276225872461248356241845468520145243680772756232147166398716395960573602794592840676040928991781722240298082039889553874139/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688
a.imag().exact_rational()
38743143824869548998159480051850490241205026500878413377278464034858416981434423320408166976481329585622042476431430168493334123089110626626927265425/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168
------------------------
a.log()
CC 5000 loops, best of 3: 170 µs per loop
MPC 5000 loops, best of 3: 143 µs per loop
------------------------
a.exp()
CC 5000 loops, best of 3: 45.6 µs per loop
MPC 5000 loops, best of 3: 49.1 µs per loop
------------------------
a**12345
CC 5000 loops, best of 3: 48.7 µs per loop
MPC 5000 loops, best of 3: 501 µs per loop
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4446#comment:18>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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