def _getOne(self):
"getter for one"
if self._one is None:
self._one = FiniteFieldExtensionElement(
polynomial.OneVariableDensePolynomial([1], "#1",
self.basefield), self)
return self._one
def _getZero(self):
"getter for zero"
if self._zero is None:
self._zero = FiniteFieldExtensionElement(
polynomial.OneVariableDensePolynomial([], "#1",
self.basefield), self)
return self._zero
def createElement(self, seed):
"""
Create an element of the field.
"""
# FIXME: Undefined variable 'FinitFieldExtensionElement'
if isinstance(seed, int):
expansion = arith1.expand(seed, card(self.basefield))
return FinitFieldExtensionElement(
polynomial.OneVariableDensePolynomial(expansion, "#1",
self.basefield), self)
elif isinstance(seed, polynomial.OneVariablePolynomial):
return FiniteFieldExtensionElement(seed("#1"), self)
else:
try:
# lastly check sequence
return FiniteFieldExtensionElement(
polynomial.OneVariableDensePolynomial(
list(seed), "#1", self.basefield), self)
except TypeError:
raise TypeError("seed %s is not an appropriate object." %
str(seed))
def PolynomialoverGF(fieldrepr, coeffs, symbol="#1"):
""" Create OneVariablePolynomial from coeffs with mapping
FinitePrimeField(char).createElement.
"""
if isinstance(fieldrepr, int):
field = finitefield.FinitePrimeField(fieldrepr)
elif isinstance(
fieldrepr,
(finitefield.FinitePrimeField, finitefield.FiniteExtendedField)):
field = fieldrepr
if type(coeffs) is dict:
return polynomial.OneVariableSparsePolynomial(coeffs, symbol, field)
elif type(coeffs) is list:
coefficients = list(map(field.createElement, coeffs))
return polynomial.OneVariableDensePolynomial(coefficients, symbol)