#7560: len(t_span) > 2 case creates len(t_span) -  1 solutions
-------------------------------------------------+--------------------------
       Reporter:  adavid                         |         Owner:  jkantor   
           Type:  defect                         |        Status:  needs_work
       Priority:  minor                          |     Milestone:  sage-5.6  
      Component:  numerical                      |    Resolution:            
       Keywords:  ode_solver, ode_solve, t_span  |   Work issues:            
Report Upstream:  N/A                            |     Reviewers:  Timo Kluck
        Authors:  Jan Medlock                    |     Merged in:            
   Dependencies:                                 |      Stopgaps:            
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Comment (by medlock):

 Replying to [comment:11 tkluck]:
 > Actually, why restrict to `len(t_span) >= 2` at all? I think we should
 just:
 >
 >  * return only the initial condition as a list with one element if
 `len(t_span) == 1`;
 >  * return an empty list `[]` if we get `t_span == []`.
 >
 > For example, this can be useful if someone wants to find solutions on
 the intersection of two sets. Then s/he does not have to treat an empty
 intersection as a special case.

 Patch updated.

 Thanks for your comments.  I implemented `len(t_span) == 2` and
 `num_points` not specified.  I also implemented `len(t_span) == 1` because
 it was very easy.

 I did not implement `len(t_span) == 0` because it would have required a
 separate `if-then` branch.  My further reasoning was that the initial
 condition `y_0` is required, so `t_span[0]` is also required, although I
 do see your point about how one could end up with `t_span` being empty.

 I have a big rewriting of this file in the works: I hope you'll be able to
 have a look.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7560#comment:12>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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