def __init__(self, p, prec, print_mode, names, label=None):
"""
Initialization.
TESTS::
sage: R = ZpLC(17) # indirect doctest
sage: R._prec_type()
'lattice-cap'
sage: R._subtype
'cap'
sage: R = ZpLF(17) # indirect doctest
sage: R._prec_type()
'lattice-float'
sage: R._subtype
'float'
"""
from sage.rings.padics.lattice_precision import pRational
self._approx_zero = pRational(p, 0)
self._approx_one = pRational(p, 1)
self._approx_minusone = pRational(p, -1)
if label is None:
self._label = None
else:
self._label = str(label)
# We do not use the standard attribute element_class
# because we need to be careful with precision
# Instead we implement _element_constructor_ (cf below)
if self._subtype == 'cap':
(self._prec_cap_relative, self._prec_cap_absolute) = prec
self._zero_cap = None
self._precision = PrecisionLattice(p, label)
element_class = pAdicLatticeCapElement
elif self._subtype == 'float':
self._prec_cap_relative = prec
self._prec_cap_absolute = infinity
self._zero_cap = prec
self._precision = PrecisionModule(p, label, prec)
element_class = pAdicLatticeFloatElement
else:
raise ValueError("subtype must be either 'cap' or 'float'")
self._element_class = self.__make_element_class__(element_class)
pAdicGeneric.__init__(self, self, p, prec, print_mode, names, None)
def __init__(self, p, prec, print_mode, names, label=None):
"""
Initialization.
TESTS::
sage: R = ZpLC(17) # indirect doctest
sage: R._prec_type()
'lattice-cap'
sage: R._subtype
'cap'
sage: R = ZpLF(17) # indirect doctest
sage: R._prec_type()
'lattice-float'
sage: R._subtype
'float'
"""
from sage.rings.padics.lattice_precision import pRational
self._approx_zero = pRational(p, 0)
self._approx_one = pRational(p, 1)
self._approx_minusone = pRational(p, -1)
if label is None:
self._label = None
else:
self._label = str(label)
# We do not use the standard attribute element_class
# because we need to be careful with precision
# Instead we implement _element_constructor_ (cf below)
if self._subtype == 'cap':
(self._prec_cap_relative, self._prec_cap_absolute) = prec
self._zero_cap = None
self._precision = PrecisionLattice(p, label)
element_class = pAdicLatticeCapElement
elif self._subtype == 'float':
self._prec_cap_relative = prec
self._prec_cap_absolute = infinity
self._zero_cap = prec
self._precision = PrecisionModule(p, label, prec)
element_class = pAdicLatticeFloatElement
else:
raise ValueError("subtype must be either 'cap' or 'float'")
self._element_class = self.__make_element_class__(element_class)
pAdicGeneric.__init__(self, self, p, prec, print_mode, names, None)