#3401: extend li to work with complex input
---------------------------+------------------------------------------------
   Reporter:  was          |       Owner:  gfurnish     
       Type:  enhancement  |      Status:  needs_work   
   Priority:  major        |   Milestone:  sage-4.2.1   
  Component:  calculus     |    Keywords:               
Work_issues:               |      Author:  Michael Yurko
   Reviewer:  Mike Hansen  |      Merged:               
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Changes (by kcrisman):

  * status:  needs_review => needs_work


Comment:

 Overall looks good, but there should be at least one doctest for the new
 DeprecationWarnings (I think this was agreed upon somewhere on sage-
 devel), and there should also be documentation that this actually fulfills
 the ticket - namely, to extend Li to complex input!  It certainly does,
 but I have no idea if the output is correct (I assume it is):
 {{{
 sage: Li(1+i)
 -0.431252110896297 + 2.05958421419258*I
 sage: Li(2+i)
 0.366095261900308 + 1.22470693841030*I
 sage: Li(2+2*i)
 0.875423840014232 + 1.96947430597102*I
 sage: Li(-2-2*i)
 -0.333825651054542 - 3.94714365810975*I
 sage: Li(-8)
 -1.74509249432858 + 5.26897573517771*I
 sage: Li(-10)
 -2.04384864349662 + 5.69678038115052*I
 sage: Li(-100)
 -15.9214591889007 + 17.3366538615045*I
 }}}
 Something like that should be added.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/3401#comment:7>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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