Bug #5179


Complex#rationalize and to_r with approximate zeros

Added by marcandre (Marc-Andre Lafortune) almost 11 years ago. Updated over 2 years ago.

Target version:
ruby -v:


Currently, Complex#rationalize and Complex#to_r raise a RangeError if the imaginary part is nonzero or is a Float. Note that a BigDecimal(0) is accepted, though:

Complex(1, 0).to_r                 # => Rational(1,1)
Complex(1, BigDecimal("0.0")).to_r # => Rational(1,1)
Complex(1, 0.0).to_r               # => RangeError

This is inconsistent. I recommend not raising an error for 0.0 (Float or BigDecimal). Any objection?

Related issues 1 (0 open1 closed)

Blocked by Ruby master - Feature #5321: Introducing Numeric#exact? and Numeric#inexact?Rejectedmatz (Yukihiro Matsumoto)Actions

Updated by mrkn (Kenta Murata) almost 11 years ago

  • Assignee set to mrkn (Kenta Murata)

0.0 doesn't exactly represent zero. It may be 0.0+-10.0**(Float::MIN_10_EXP-17).
BigDecimal(0) doesn't exactly represent zero, too.

I believe this issue should be resolved by introducing Numeric#exact? and/or Numeric#inexact? methods.

Actions #2

Updated by shyouhei (Shyouhei Urabe) about 10 years ago

  • Status changed from Open to Assigned

Updated by jeremyevans0 (Jeremy Evans) over 2 years ago

As Numeric#exact? has been rejected, and BigDecimal is not a core class, I'm not sure what to do about this issue. @mrkn (Kenta Murata) seems to recommend RangeError for Complex(1, BigDecimal("0.0")).to_r (the same as with Complex(1, 0.0).to_r ). I think the bigdecimal library would have to override Kernel#Complex for that behavior. Would that be considered acceptable?

Updated by mame (Yusuke Endoh) over 2 years ago

We discussed #5321 at the dev-meeting. Whether a value is exact or inexact, is not decidable based on a class. For example, a literal 0.0 may be considered as precise and exact. But, if the same value is gained from an inaccurate calculation, it may be considered as inexact.

In regard to this paricular issue, Naruse pointed out that we already have Float#to_r. So I think that it is reasonable that Complex(1, 0.0).to_r returns Rational(1, 1) instead of RangeError.


Also available in: Atom PDF