[Octave-bug-tracker] [bug #61319] idivide fails to distinguish between ceil and floor for inputs close to perfect squares

[Markus Mützel]

Update of bug #61319 (project octave):

                  Status:                    None => Confirmed              
        Operating System:               GNU/Linux => Any                    

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Follow-up Comment #4:

IIUC, for integers smaller flintmax, converting to double and using `fix`,
`floor`, or `ceil` probably works fine.
For larger integers, this does no longer work in general.

I don't understand what you mean by rounding the numerator or denominator
separately. Aren't they already integer for integer input? What would rounding
do in that case?

IIUC, the result of integer division is always rounded to the closest integer.
(At least that is what the docstring of `idivide` says.)
Maybe we could use `rem` or `mod` to detect whether that was rounded up or
down and correct the result accordingly?


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