Le mercredi 27 janvier 2010 à 17:14 -0800, Ondrej Certik a écrit :
> On Wed, Jan 27, 2010 at 5:11 PM, Ronan Lamy <[email protected]> wrote:
> > Le mercredi 27 janvier 2010 à 16:52 -0800, Ondrej Certik a écrit :
> >> On Wed, Jan 27, 2010 at 4:39 PM, Ronan Lamy <[email protected]> wrote:
> >> > Le mercredi 27 janvier 2010 à 11:19 -0800, Ondrej Certik a écrit :
> >> >> What is the advantage of having two classes instead of one? Just so
> >> >> that I understand the motivation better. Essentially you just want to
> >> >> split Basic into two classes, so that each class is simpler to
> >> >> maintain? I am missing why it is a roadblock, but since you both did
> >> >> some work with assumptions already,  I guess there is a good reason
> >> >> for that.
> >> >
> >> > The main problem is circular dependency: assuming we switch to the new
> >> > assumption system, algebraic expressions need assumptions, assumptions
> >> > need the logic module, and logic needs Basic. So if Basic is aware of
> >> > the existence of algebraic expressions, we have a problem. This also
> >> > means that Basic shouldn't be aware of assumptions, by the way.
> >>
> >> Basic should not be aware of assumptions at all, that's clear.
> >>
> >> So let's say I have x^2, which is Pow(Symbol("x"), 2). How does the
> >> Expr come into this? And why does it need to know about assumptions? I
> >> thought that's what refine() is for.
> >  Expr is a base class of both Pow and Symbol, so its methods might be
> > called when working with x^2. It probably needs to know about some
> > assumptions (for instance whether x is commutative) in order to evaluate
> > some expressions (for instance (y*x^2)^2).
> 
> Besides commutative, does it need to know any other assumption? I
> think we might have a new NCMul for commutative multiplication.

It would certainly be better to have different classes for commutative
and noncommutative multiplication but this is a somewhat unrelated
problem. It doesn't change the fact that there has to be a way to know
whether x and y are commutative in order to evaluate x*y.

All the assumptions in the old system have probably been implemented
because they're useful somewhere so they're probably all required to
evaluate some thing or other.

Ronan


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