Should we rationalize Rational's numerator automatically?
In this Rails issue we found that using
BigDecimal as a
Rational's numerator can have inconsistent behaviors when the denominator gets bigger. For example:
> 1 == BigDecimal(1) => true > Rational(1, 1) == Rational(BigDecimal(1), 1) => true > Rational(1, 6) == Rational(BigDecimal(1), 6) => true > Rational(1, 60) == Rational(BigDecimal(1), 60) => false
So my question is, is this behavior expected?
If it's not expected, do we have a plan to fix it?
If it is, does it make sense to manually rationalize the numerator before passing it into the
Rational call, in order to get a consistent result?
Updated by Eregon (Benoit Daloze) 2 months ago
- Assignee set to mrkn (Kenta Murata)
This seems due to the fact
Rational(BigDecimal, Integer) does not return a Rational but a BigDecimal!
That seems highly surprising to me, any
Foo() "constructor" should return a
Foo, isn't it?
Float as numerator correctly produces a Rational, so the bug seems to be with BigDecimal as a numerator:
> Rational(BigDecimal(1), 2).class => BigDecimal > Rational(BigDecimal(1).to_f, 2).class => Rational
Updated by st0012 (Stan Lo) 2 months ago
Thanks for the quick response!
I also found that it returns
BigDecimal if any of its arguments is a
irb(main):005:0> Rational(BigDecimal(1), 1).class => BigDecimal irb(main):006:0> Rational(BigDecimal(1), BigDecimal(1)).class => BigDecimal irb(main):007:0> Rational(0, BigDecimal(1)).class => BigDecimal irb(main):008:0>
Updated by elct9620 (ZhengXian Qiu) 2 months ago
After a quick trace of the source code, the problem is BigDecimal is a subclass of Numeric but defined in Ruby.
nurat_conver method check for argument type and convert to Rational, but the Numeric doesn't.
When it calls the
f_div method, it calculates it directly without converting them to Rational.
We can simply force convert the result, but I didn't think it is the best way:
return to_rational(f_div(a1, a2));