#8017: incorrect trailing digits for continued fraction
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Reporter: robertwb | Owner: AlexGhitza
Type: defect | Status: needs_info
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_info
Comment:
Robert, this seems to be great work! However a small question: for *exact*
symbolic input,
the truncated continued fraction should not depend on the initial
floating-point
approximation, and should be a truncation of the (finite or infinite)
continued fraction:
{{{
sage: continued_fraction(22/7,bits=4)
[3, 4]
sage: continued_fraction(22/7,bits=5)
[3, 8]
}}}
I guess the above should give instead:
{{{
sage: continued_fraction(RealIntervalField(4)(22/7))
[3]
sage: continued_fraction(RealIntervalField(5)(22/7))
[3]
}}}
Can the same problem happen with say sqrt(2), or is it only for rationals?
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8017#comment:3>
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