On Monday, 10 July 2017 13:31:26 UTC+2, vdelecroix wrote:
>
> On 10/07/2017 12:48, mmarco wrote: 
> > It is surprising the difference between singular and Sage, considering 
> that 
> > Sage mostly relies on Singular for multivariate polynomial arithmetic. 
> In 
> > the case of divisions, I suspect that it has to do with the fact that 
> Sage 
> > treats division of polynomials as an operation in the fraction field, so 
> it 
> > would construct the fraction, look for common factors in the numerator 
> and 
> > denominator, and cancel them. That is probably not what other systems 
> do. 
>
> Indeed, for (internal) division one should use // and not / 
>
> > Which commands/instructions did you use in your benchmarks? 
>

It looks like I used quo_rem, since you need both the quotient and whether 
or not it is divisible, for which you need the remainder.
 

>
> BTW, it would be good to have them in the post! 
>

It already says in the post that for systems that didn't provide the 
required function, I used quotient with remainder. 
 

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