#20017: implement cos and sin of power series
-------------------------+-------------------------------------------------
       Reporter:         |        Owner:
  chapoton               |       Status:  positive_review
           Type:         |    Milestone:  sage-7.1
  enhancement            |   Resolution:
       Priority:  major  |    Merged in:
      Component:         |    Reviewers:  Ralf Stephan
  calculus               |  Work issues:
       Keywords:         |       Commit:
        Authors:         |  a7cb277b2445abe758660cd058ebdb05d3d16cab
  Frédéric Chapoton      |     Stopgaps:
Report Upstream:  N/A    |
         Branch:         |
  u/chapoton/20017       |
   Dependencies:         |
-------------------------+-------------------------------------------------
Changes (by rws):

 * status:  needs_review => positive_review
 * reviewer:   => Ralf Stephan


Comment:

 Apart from the not optimal performance at higher order this looks good.
 Please cc me with any further tickets like this.

 {{{
 sage: R.set_default_prec(100)
 sage: time _ = sin(x*exp(x))
 CPU times: user 44 ms, sys: 0 ns, total: 44 ms
 Wall time: 44.7 ms
 sage: R.set_default_prec(200)
 sage: time _ = sin(x*exp(x))
 CPU times: user 216 ms, sys: 0 ns, total: 216 ms
 Wall time: 214 ms
 sage: R.set_default_prec(300)
 sage: time _ = sin(x*exp(x))
 CPU times: user 660 ms, sys: 8 ms, total: 668 ms
 Wall time: 667 ms
 sage: R.set_default_prec(400)
 sage: time _ = sin(x*exp(x))
 CPU times: user 1.61 s, sys: 4 ms, total: 1.62 s
 Wall time: 1.61 s
 sage: R.set_default_prec(500)
 sage: time _ = sin(x*exp(x))
 CPU times: user 3.19 s, sys: 4 ms, total: 3.2 s
 Wall time: 3.19 s
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/20017#comment:3>
Sage <http://www.sagemath.org>
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