#12105: RuntimeError: Segmentation fault with nth_root
-----------------------------------+----------------------------------------
   Reporter:  lfousse              |          Owner:  jason, jkantor
       Type:  defect               |         Status:  needs_review  
   Priority:  major                |      Milestone:  sage-5.0      
  Component:  numerical            |       Keywords:                
Work_issues:                       |       Upstream:  N/A           
   Reviewer:  Karl-Dieter Crisman  |         Author:  Johan Bosman  
     Merged:                       |   Dependencies:                
-----------------------------------+----------------------------------------
Changes (by kcrisman):

  * reviewer:  => Karl-Dieter Crisman


Comment:

 On Mac I don't get an error, but it hangs and eventually consumes all
 resources, so fair enough!

 This patch gives
 {{{
 sage: timeit("RealField(53)(0.05).nth_root(7 * 10^8)")
 625 loops, best of 3: 69.2 µs per loop
 }}}

 One question I have is whether this is the most appropriate test with this
 precision.
 {{{
 sage: RealField(53)(0.05).nth_root(7 * 10^8)
 0.999999995720382
 sage: _^(7*10^8)
 0.0499999991341384
 }}}
 Is that good enough?

 Otherwise this is fine, passes tests, etc. on 5.0.beta1.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12105#comment:3>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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