#4225: [with patch, positive review] faster sqrt for complex numbers
----------------------+-----------------------------------------------------
 Reporter:  robertwb  |        Owner:  tbd       
     Type:  defect    |       Status:  new       
 Priority:  major     |    Milestone:  sage-3.1.3
Component:  algebra   |   Resolution:            
 Keywords:            |  
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Changes (by AlexGhitza):

  * summary:  [with patch, positive review, needs rebase] faster sqrt for
              complex numbers => [with patch, positive
              review] faster sqrt for complex numbers

Comment:

 OK, I've uploaded a version rebased against 3.1.3.alpha2.

 For the record, here is some timing info:

 before the patch:

 {{{
 sage: C = ComplexField()
 sage: z = C(1+i)
 sage: timeit("z.sqrt()")
 625 loops, best of 3: 8.57 µs per loop
 sage: C = ComplexField(10000)
 sage: z = C(1+i)
 sage: timeit("z.sqrt()")
 125 loops, best of 3: 6.95 ms per loop
 }}}

 after the patch:

 {{{
 sage: C = ComplexField()
 sage: z = C(1+i)
 sage: timeit("z.sqrt()")
 625 loops, best of 3: 2.27 µs per loop
 sage: C = ComplexField(10000)
 sage: z = C(1+i)
 sage: timeit("z.sqrt()")
 625 loops, best of 3: 509 µs per loop
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4225#comment:8>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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