#4155: [with patch, needs review] Speed up totally real field enumeration code
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 Reporter:  craigcitro     |       Owner:  craigcitro
     Type:  defect         |      Status:  new       
 Priority:  major          |   Milestone:  sage-3.1.3
Component:  number theory  |    Keywords:            
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 The attached patch provides a significant speedup of John Voight's totally
 real field enumeration code. The patch moves
 `enumerate_totallyreal_fields_prim` into Cython (and thus `totallyreal.py`
 becomes `totallyreal.pyx`). Most of the speedup comes from explicitly
 declaring and being careful about types. A few small improvements to the
 Pari interface are thrown in, since they were written in the process of
 speeding up this code.

 While I haven't performed any sort of systematic test, it seems that this
 code offers a factor of at least 2X speedup for enumerating fields of
 degree 5 or 6.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4155>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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