#15134: HyperbolicFunction can't handle Python complex input
-------------------------------------+-------------------------------------
       Reporter:  eviatarbach        |        Owner:
           Type:  defect             |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-7.3
      Component:  numerical          |   Resolution:
       Keywords:  days78             |    Merged in:
        Authors:  Eviatar Bach       |    Reviewers:  Travis Scrimshaw
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/eviatarbach/hyperbolic           |  13b6d3e03db6d6c4b7163a27175a8dc52225ba91
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by vbraun):

 * status:  positive_review => needs_work


Comment:

 There is some numerical noise on some buildbots:
 {{{
 sage -t --long src/sage/functions/hyperbolic.py
 **********************************************************************
 File "src/sage/functions/hyperbolic.py", line 238, in
 sage.functions.hyperbolic.Function_coth.__init__
 Failed example:
     coth(complex(1, 2))
 Expected:
     (0.8213297974938518+0.17138361290918508j)
 Got:
     (0.8213297974938518+0.17138361290918505j)
 **********************************************************************
 File "src/sage/functions/hyperbolic.py", line 442, in
 sage.functions.hyperbolic.Function_arccosh.__init__
 Failed example:
     arccosh(complex(1, 2))
 Expected:
     (1.5285709194809982+1.1437177404024204j)
 Got:
     (1.528570919480998+1.1437177404024206j)
 **********************************************************************
 2 items had failures:
    1 of  23 in sage.functions.hyperbolic.Function_arccosh.__init__
    1 of  15 in sage.functions.hyperbolic.Function_coth.__init__
     [181 tests, 2 failures, 1.23 s]
 }}}

--
Ticket URL: <https://trac.sagemath.org/ticket/15134#comment:11>
Sage <http://www.sagemath.org>
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