#15744: Speed up MPC multiplication
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       Reporter:  jdemeyer            |        Owner:
           Type:  enhancement         |       Status:  new
       Priority:  major               |    Milestone:  sage-6.1
      Component:  packages: standard  |   Resolution:
       Keywords:                      |    Merged in:
        Authors:  Jeroen Demeyer      |    Reviewers:
Report Upstream:  N/A                 |  Work issues:
         Branch:                      |       Commit:
   Dependencies:                      |     Stopgaps:
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Description changed by jdemeyer:

Old description:

> Add a patch from Paul Zimmermann which significantly speeds up MPC
> multiplication.
>
> '''Timings for multiplication''':
> ||Prec (bits)||= `ComplexField` =||= `MPComplexField` (old)=||=
> `MPComplexField` (new)=||
> ||53||...||...||...||
> ||128||...||...||...||
> ||360||...||...||...||
> ||1024||...||...||...||

New description:

 Add a patch from Paul Zimmermann which significantly speeds up MPC
 multiplication.

 '''Timings''' (time in microseconds for 1 multiplication on an `Intel(R)
 Core(TM) i7-2640M CPU @ 2.80GHz`):
 ||Prec (bits)||= `ComplexField` =||= `MPComplexField` (old)=||=
 `MPComplexField` (new)=||
 ||53||0.53||1.09||0.81||
 ||128||0.56||1.18||0.90||
 ||360||0.77||1.47||1.12||
 ||1024||1.74||3.98||3.39||

--

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Ticket URL: <http://trac.sagemath.org/ticket/15744#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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