#12521: evaluate log gamma for complex input
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Reporter: kcrisman | Owner: AlexGhitza
Type: defect | Status: new
Priority: critical | Milestone: sage-5.11
Component: basic arithmetic | Resolution:
Keywords: lgamma log_gamma | Work issues:
Report Upstream: N/A | Reviewers:
Authors: | Merged in:
Dependencies: | Stopgaps:
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Comment (by zimmerma):
Dear Eviatar,
I see no argument to tell the precision of the output in this function,
thus I guess the result should be computed to the precision of the input.
Then the real part seems fine to me.
For the imaginary part, you create the variable {{{v}}} with the same
precision than the input I guess.
In {{{v-1}}} you might have a problem if {{{v}}} is very large, then
{{{v-1}}} rounded will equal {{{v}}},
and {{{(v-1).ceil()}}} will equal {{{v}}} too. Thus the result will be too
large by {{{2pi}}}.
Paul
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12521#comment:11>
Sage <http://www.sagemath.org>
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