Le vendredi 25 février 2011 à 23:55 +0545, Chris Smith a écrit :
> Ronan Lamy wrote:
> >> Why f.e. this variant:
> >> 
> >>  >      h[2]>>>  cos(x).series(x,1,n=2)
> >>  >      (1 - x)*sin(1) + cos(1) + O((x - 1)**2)
> >> 
> >> is bad ?
> > 
> > What's bad is that '(x - 1)' in the O() is actually a symbol that's
> > completely unrelated to x. This could be very confusing and it's
> > unlikely that such an expression will be handled correctly by existing
> > functions.
> 
> What's good is that only the user that reads the docstring is going 
> to be able to figure out how to do this. Anyone else is going to just 
> get the shifted function result. The commit message is also clear 
> about what's happening:
> 
>     2) if sudo=True then return the expression with a non-functional
>     but proper looking O() term. Symbol trickery is used here to
>     replace x with Symbol(str(x-x0)) in the O() term.

I don't see the point of this, actually. The expression is only good for
printing, but users who know what they're doing can easily get a "nice"
expression with, for instance, expr.series(x, 1, n=2).subs(x,
Symbol(str(x-1))). On the other hand, every new option doubles the
amount of testing we should do and increases the cognitive burden on the
user. 

> > I agree that O() needs to be fixed to take an x0 argument before we
> > can  represent expansions at a point other than 0. Correct handling of all
> > cases (x0 = oo, O(1, x, x0=0) + O(1, x, x0=1), ...) can probably wait.
> 
> Are you ok with proceeding, then? If not, could you clearly tell what it 
> would 
> take to get a positive vote?

Remove the 'sudo' option.
Everything else looks good to me - though I'm sure that given enough
time, I could still find a few reason to nitpick. 

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