Hi!
It's true, that redSB might have some influence on the code run inside
Singular.
In my slimgb test files, usually I do the following:
- normalize the leading coefficient to 1
- consider only the leading terms
- sort the list
If the algorithm gives back not necessarily a reduced GB, but a
minimal GB, we have a canonical output.
Michael



On 23 Feb., 17:14, Simon King <k...@mathematik.uni-jena.de> wrote:
> Hi Martin,
>
> On Feb 23, 4:08 pm, Martin Albrecht <m...@informatik.uni-bremen.de>
> wrote:
>
> > >  Wouldn't it make sense to use option(redSB) for the doc tests, since
> > > otherwise the result is mathematically not well defined?
>
> > I disagree. The result is well defined, its just not necessarily precise :)
>
> > Also, we are testing the behaviour of the groebner() function in that 
> > doctest
> > and thus IMHO it should reflect the natural behaviour of groebner().
>
> Sure. And therefore I formulated "the result is *mathematically* not
> well defined". Algorithmically it is.
>
> > If that
> > changed in 3.1 then I guess its fine we'll change the doctest once 3.1 is 
> > out
> > and we switch.
>
> > Thoughts?
>
> Using option(redSB) would simplify maintenance of doc-tests easier.
> But this was the only reason for my suggestion.
> It definitely makes sense to test the groebner() function rather than
> Buchberger's result on uniqueness of reduced Gröbner bases.
>
> Cheers,
>       Simon
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