Bill Page <bill.p...@newsynthesis.org> writes:

> What version of Sage are you using? What patches applied (if any)?

4.0.2, combinat branch, patches 6318 applied.

>> It might make sense to expand FriCASElement a little.  Currently we have:
>>
>>        P = self._check_valid()
>>        name = str(self)
>>        if name == 'Integer':
>>            from sage.rings.all import ZZ
>>            return ZZ
>>        elif name == 'DoubleFloat':
>>            from sage.rings.all import RDF
>>            return RDF
>>        elif name.startswith('Fraction('):
>>            name = name.lstrip('Fraction(')
>>            name = name.rstrip(')')
>>            return P(name)._sage_domain().fraction_field()
>>
>>        raise NotImplementedError
>>
>> Types that often occur in FriCAS, might have an equivalent in sage, and
>> come to my mind right now are:
>>
>> Polynomial(YourFavoriteRing)           [polynomials with arbitrary many 
>> variables]
>> Expression(Integer)                    [probably SymbolicRing]
>> PrimeField(yourFavouritePrime)         [probably 
>> Integers(yourFavouritePrime)]
>> IntegerMod(yourFavouriteNaturalNumber) [probably 
>> Integers(yourFavouriteNaturalNumber)]
>> AlgebraicNumber                        [probably QQbar]
>> Float                                  [RR with given precision]
>> Complex(YourFavoriteCommutativeRing)   [no idea]

...

> Yes, I think that would be an excellent idea.

Well, I just realized that the axiom interface was done differently: you
used INFORM from axiom there.  That worked reasonably well, as far as I
remember.

And now I also remember that some time ago I thought that the best way
to have a (fricas) package SageForm, that converts InputForm into
something appropriate for sage.

Doing the conversion separately for the type (as above) and the element
itself seems a bit like doing things twice, doesn't it?

Martin

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