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Re: Mod and QuotientRemainder are inconsistent


Note also that:

Mod[12, 0.1, 1]

 1.

etc., which suggest to me that the result for Mod[12,0.1] must be a bug.

Andrzej Kozlowski




On 9 Feb 2012, at 11:35, Szabolcs wrote:

>
> Mod[12, 0.1] gives 0.1 despite 120*0.1 = 12.  I expect this is because 0.1 is not representable in binary.
>
> QuotientRemainder[12, 0.1] gives {120, 0.} however, which is inconsistent with the result above.
>
> Quotient[12,0.1] gives 120 which is also inconsistent with Mod.
>
> Is this a bug or is it by design?  It seems it is not safe to assume that
>
> QuotientRemainder[a,b] = {Quotient[a,b], Mod[a,b]}
>
> or that
>
> Quotient[a,b]*b + Mod[a,b] = a
>




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