William Stein <[email protected]> writes:

>> I admit however, that calling FriCAS from sage is very awkward, since
>> the interface is absolutely dumb.
>
> Could you please give constructive criticism instead?  I for one
> appreciate the work Bill Page did at Sage Days 2 to write an axiom
> interface.  I think enumerating some specific criticism of it would be
> more useful.  If you've already done so, maybe you could post a link?

I also think that Bill Page did and does a good job.

The main thing that's missing is a proper way to translate between
fricas and sage types.

Eg: (without understanding the issues involved...)

>> sage: fricas.integrate('sec(t)*tan(t)','t=0..%pi/3','"noPole"')
>> 1

why is it, that I can't write

fricas.integrate(sec(t)*tan(t),(t,0,%pi/3),"noPole")

(and I think that "SegmentBinding", i.e., something of the form

    t=a..

or

    t=a..b

is something missing from sage.  On the other hand, "=" seems to be
reserved for keyword arguments and assignment in python, except that
sage uses it at least in "limit" also in the sense of an equation.  I
would have expected "==".)

FriCAS has a type called InputForm, which (in an ideal world) captures
the semantics of any given object.  (I guess, it's somewhat similar to
the pickle mechanism?)

I think we would need a FriCAS-SAGE programmer, who implements a
dictionary style translation between the two type systems.  But maybe
I'm too optimistic here...

Martin

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