> I very strongly agree that such a limitation is a major problem. > The only way I can think of to deal with it, is if any such exponent > appears, we switch to the polydict (nonsingular) representation, and > everything gets way slower, and Groebner basis computations switch to > a toy implementation + warning (or just fail with an error > immediately?). > I think dynamically switching representations when running into limitations of one representation is a very good solution, though I think it will be difficult (though not impossible) to make this work in practice. E.g. if Singular overflows in the middle of a computation, then Sage would need to discover this, recover the state things had before the computation, change to the polydict ring, and then restart the same computation - specifically Sage would need to know how to do this for each computation. This also presupposes that overflow errors are always reported by Singular (and other software with similar limitations), which seems not to be the case.
I'm going to check that the issues in the trac tickets above are indeed due to Singular, then report them to the Singular team and ask them whether it is a policy for Singular to always report overflow. If the Singular team view silent overflow to be an important bug needing fixing, then I don't think it's as much of a problem as I otherwise would. > However, much to my surprise the Sage-native polydict implementation > is in fact broken even worse!!!! (please report this to trac). > As a friendly comment I experience this to be bossy. In any case, it's been in trac since Sage Days 16, where you may have noticed that I used polynomials for the small examples in my presentation of Frobby, and then switched to a list-of-exponents representation for the examples with large exponents - because it wouldn't work any other way I could find after asking around. http://trac.sagemath.org/sage_trac/ticket/6428 Cheers Bjarke --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-devel@googlegroups.com To unsubscribe from this group, send email to sage-devel-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-devel URLs: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---
