On Thursday, June 19, 2014 2:38:11 AM UTC-4, vdelecroix wrote:
>
> Note that there is already a method "nth_root" on several elements
> (ZZ, finite fields, etc). So I would rather go for "real_nth_root"
> which makes things clearer.
>
Perhaps we can then just get away with a "nth_root" symbolic function that
uses nth_root on its argument, making use of the fact that if the numerical
evaluation of the argument produces a real number, then the real number
itself will know what its nth root is? Something along the lines of:
from sage.symbolic.function import SymbolicFunction
class nth_root(SymbolicFunction):
def __init__(self):
SymbolicFunction.__init__(self, 'nth_root', nargs=2)
def _evalf_(self, n, x, parent=None):
return parent(x).nth_root(n)
(this needs refinement, but numerical evaluation does seem to be able to
produce sometimes real elements and sometimes complex numbers, so perhaps
we can utilize that)
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