#8017: incorrect trailing digits for continued fraction
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Reporter: robertwb | Owner: AlexGhitza
Type: defect | Status: needs_work
Priority: major | Milestone: sage-4.3.4
Component: basic arithmetic | Keywords:
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Changes (by zimmerma):
* status: needs_review => needs_work
Comment:
while I'm running the doctests, a few comments: (1) maybe the
documentation should say that the
terms of the truncated continued fraction are (now) guaranteed exact
(using interval arithmetic);
(2) {{{If nterms is given, the precision is increased until the specified
number of terms can be computed}}}: if possible, for example 22/7 will
give only two terms.
I also suggest giving an additional example showing that we can give as
input a floating-point
interval, and the difference with a floating-point number (where initial
rounding error can
give an incorrect result):
{{{
sage: continued_fraction(RealField(39)(e))
[2, 1, 2, 1, 1, 4, 1, 1, 6, 1, 1, 8, 1, 1, 10, 2]
sage: continued_fraction(RealIntervalField(39)(e))
[2, 1, 2, 1, 1, 4, 1, 1, 6, 1, 1, 8, 1, 1, 10]
}}}
In the meantime the doctests finished, and I get two failures:
{{{
sage -t core2/devel/sage-8017/sage/combinat/words/word_generators.py # 1
doctests failed
sage -t core2/devel/sage-8017/sage/tests/book_stein_ent.py # 13 doctests
failed
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8017#comment:5>
Sage <http://www.sagemath.org>
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