Source code for sympy.polys.domains.rationalfield
"""Implementation of :class:`RationalField` class. """
from __future__ import print_function, division
from sympy.polys.domains.characteristiczero import CharacteristicZero
from sympy.polys.domains.field import Field
from sympy.polys.domains.simpledomain import SimpleDomain
from sympy.utilities import public
[docs]@public
class RationalField(Field, CharacteristicZero, SimpleDomain):
"""General class for rational fields. """
rep = 'QQ'
is_RationalField = is_QQ = True
is_Numerical = True
has_assoc_Ring = True
has_assoc_Field = True
[docs] def algebraic_field(self, *extension):
r"""Returns an algebraic field, i.e. `\mathbb{Q}(\alpha, \ldots)`. """
from sympy.polys.domains import AlgebraicField
return AlgebraicField(self, *extension)
[docs] def from_AlgebraicField(K1, a, K0):
"""Convert a ``ANP`` object to ``dtype``. """
if a.is_ground:
return K1.convert(a.LC(), K0.dom)