#10634: Weighted Choice
----------------------------+-----------------------------------------------
   Reporter:  eviatarbach   |       Owner:  jason       
       Type:  enhancement   |      Status:  needs_review
   Priority:  minor         |   Milestone:  sage-4.6.2  
  Component:  misc          |    Keywords:              
     Author:  Eviatar Bach  |    Upstream:  N/A         
   Reviewer:                |      Merged:              
Work_issues:                |  
----------------------------+-----------------------------------------------

Comment(by dsm):

 A few points:

 (1) There are a few typos in the doc ("choose choose", and "if given a
 list" reads better than "if inputted a list").

 (2) The use of factor=1/max(seq.values()) means that the code can run
 forever if the maximum weight is a Python integer > 1, because then factor
 becomes 0.

 {{{

 sage: choice({1:int(2)})
 [forever..]

 }}}

 (3) I don't know if it matters, but the while True approach can be quite
 inefficient for large arrays, because the odds of succeeding on any given
 try can be pretty low:

 {{{
 sage: d = dict((i,1) for i in range(10**4))
 sage: time z = choice(d)
 CPU times: user 0.14 s, sys: 0.00 s, total: 0.14 s
 Wall time: 0.15 s

 sage: time z = choice(range(10**4))
 CPU times: user 0.00 s, sys: 0.00 s, total: 0.00 s
 Wall time: 0.00 s
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10634#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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