#9882: slow random_element() for integer mod ring
-------------------------------+-------------------
       Reporter:  dmharvey     |        Owner:  tbd
           Type:  defect       |       Status:  new
       Priority:  major        |    Milestone:
      Component:  performance  |   Resolution:
       Keywords:               |    Merged in:
        Authors:               |    Reviewers:
Report Upstream:  N/A          |  Work issues:
         Branch:               |       Commit:
   Dependencies:               |     Stopgaps:
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Comment (by mmezzarobba):

 The following implementation of `R.random_element()` is 30-40% faster than
 the existing one (and correctly uses the uniform distribution, according
 to the docstring of `ZZ.random_element()`):
 {{{
     def random_element(self, bound=None):
         if bound is None:
             return self(ZZ.random_element(0, self.__order-1))
         else:
             return commutative_ring.CommutativeRing.random_element(self,
 bound)
 }}}
 6.2.beta4:
 {{{
 sage: %timeit R.random_element()
 100000 loops, best of 3: 5.67 µs per loop
 }}}
 With patch:
 {{{
 sage: %timeit R.random_element()
 100000 loops, best of 3: 3.53 µs per loop
 }}}
 But I don't understand where the time goes:
 {{{
 sage: foo = None
 sage: %timeit if foo is None: ZZ.random_element(0, R.order()-1)
 1000000 loops, best of 3: 809 ns per loop
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/9882#comment:2>
Sage <http://www.sagemath.org>
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