def __init__(self, parent, x, prec=None, dx=[], dx_mode='linear_combination', valuation=None, check=True, reduce=True):
r"""
TESTS::
sage: R = ZpLC(2)
sage: x = R(1, 10) # indirect doctest
sage: x
1 + O(2^10)
"""
self._parent = parent
p = parent.prime()
pAdicGenericElement.__init__(self, parent)
self._precision = parent.precision()
if check:
if isinstance(x, pAdicGenericElement):
if parent.prime() != x.parent().prime():
raise TypeError("conversion between different p-adic rings/fields not supported")
if prec is None:
prec = x.precision_absolute()
else:
prec = min(prec, x.precision_absolute())
x = QQ(x)
if isinstance(x, pRational):
self._value = x
else:
self._value = pRational(p, QQ(x))
trunc = self._declare_new_element(dx, prec, dx_mode)
if reduce:
self._value = self._value.reduce(trunc)
def __init__(self, parent, x, prec=None, dx=[], dx_mode='linear_combination', valuation=None, check=True, reduce=True):
r"""
TESTS::
sage: R = ZpLC(2)
sage: x = R(1, 10) # indirect doctest
sage: x
1 + O(2^10)
"""
self._parent = parent
p = parent.prime()
pAdicGenericElement.__init__(self, parent)
self._precision = parent.precision()
if check:
if isinstance(x, pAdicGenericElement):
if parent.prime() != x.parent().prime():
raise TypeError("conversion between different p-adic rings/fields not supported")
if prec is None:
prec = x.precision_absolute()
else:
prec = min(prec, x.precision_absolute())
x = QQ(x)
if isinstance(x, pRational):
self._value = x
else:
self._value = pRational(p, QQ(x))
trunc = self._declare_new_element(dx, prec, dx_mode)
if reduce:
self._value = self._value.reduce(trunc)