def __init__(self,
parent,
x=None,
check=True,
is_gen=False,
construct=False):
Polynomial_generic_dense.__init__(self, parent, x, check, is_gen)
def __init__(self,
parent,
x=None,
check=True,
is_gen=False,
construct=False,
absprec=None):
"""
TESTS:
Check that :trac:`13620` has been fixed::
sage: K = ZpFM(3)
sage: R.<t> = K[]
sage: R(R.zero())
0
"""
if x is None:
Polynomial_generic_dense.__init__(self, parent, x, check, is_gen,
construct)
return
R = parent.base_ring()
if sage.rings.fraction_field_element.is_FractionFieldElement(x):
if x.denominator() != 1:
raise TypeError("denominator must be 1")
else:
x = x.numerator()
if isinstance(x, Polynomial):
if x.base_ring() is R:
x = list(x.list())
else:
x = [R(a) for a in x.list()]
elif isinstance(x, list):
if check:
x = [R(a) for a in x]
elif isinstance(x, dict):
if check:
m = infinity
zero = R(0)
n = max(x) if x else 0
v = [zero] * (n + 1)
for i, z in x.items():
v[i] = R(z)
m = min(m, v[i].precision_absolute())
x = v
else:
m = sage.rings.padics.misc.min(a.precision_absolute()
for a in x.values())
if absprec is not None:
m = min(m, absprec)
Polynomial_generic_dense.__init__(self, parent, x, absprec=m)
return
elif isinstance(x, pari_gen):
x = [R(w) for w in x.list()]
else:
x = [R(x)]
if absprec is None:
absprec = infinity
m = min([a.precision_absolute() for a in x] + [absprec])
Polynomial_generic_dense.__init__(self, parent, x, absprec=m)
def __init__(self,
parent,
x=None,
check=True,
is_gen=False,
construct=False,
absprec=None):
"""
Initialization function for the class Polynomial_padic_flat.
"""
if x is None:
Polynomial_generic_dense.__init__(self,
parent,
x=None,
is_gen=is_gen)
return
R = parent.base_ring()
if sage.rings.fraction_field_element.is_FractionFieldElement(x):
if x.denominator() != 1:
raise TypeError, "denominator must be 1"
else:
x = x.numerator()
if isinstance(x, Polynomial):
if x.base_ring() is R:
x = list(x.list())
else:
x = [R(a) for a in x.list()]
elif isinstance(x, list):
if check:
x = [R(a) for a in x]
elif isinstance(x, dict):
if check:
m = infinity
zero = R(0)
n = max(x.keys())
v = [zero for _ in xrange(n + 1)]
for i, z in x.iteritems():
v[i] = R(z)
m = min(m, v[i].precision_absolute())
x = v
else:
m = sage.rings.padics.misc.min(a.precision_absolute()
for a in x.values())
if not absprec is None:
m = min(m, absprec)
Polynomial_generic_dense.__init__(self, parent, x, absprec=m)
return
elif isinstance(x, pari_gen):
x = [R(w) for w in x.list()]
else:
x = [R(x)]
if absprec is None:
absprec = infinity
m = min([a.precision_absolute() for a in x] + [absprec])
Polynomial_generic_dense.__init__(self, parent, x, absprec=m)
def __init__(self, parent, x=None, check=True, is_gen=False, construct=False, absprec=None):
"""
TESTS:
Check that :trac:`13620` has been fixed::
sage: K = ZpFM(3)
sage: R.<t> = K[]
sage: R(R.zero())
0
"""
if x is None:
Polynomial_generic_dense.__init__(self, parent, x, check, is_gen, construct)
return
R = parent.base_ring()
if sage.rings.fraction_field_element.is_FractionFieldElement(x):
if x.denominator() != 1:
raise TypeError("denominator must be 1")
else:
x = x.numerator()
if isinstance(x, Polynomial):
if x.base_ring() is R:
x = list(x.list())
else:
x = [R(a) for a in x.list()]
elif isinstance(x, list):
if check:
x = [R(a) for a in x]
elif isinstance(x, dict):
if check:
m = infinity
zero = R(0)
n = max(x.keys()) if x else 0
v = [zero] * (n + 1)
for i, z in six.iteritems(x):
v[i] = R(z)
m = min(m, v[i].precision_absolute())
x = v
else:
m = sage.rings.padics.misc.min(a.precision_absolute() for a in x.values())
if not absprec is None:
m = min(m, absprec)
Polynomial_generic_dense.__init__(self, parent, x, absprec = m)
return
elif isinstance(x, pari_gen):
x = [R(w) for w in x.list()]
else:
x = [R(x)]
if absprec is None:
absprec = infinity
m = min([a.precision_absolute() for a in x] + [absprec])
Polynomial_generic_dense.__init__(self, parent, x, absprec = m)
def __init__(self, parent, x=None, check=True, is_gen=False, construct=False, absprec=None):
"""
Initialization function for the class Polynomial_padic_flat.
"""
if x is None:
Polynomial_generic_dense.__init__(self, parent, x = None, is_gen = is_gen)
return
R = parent.base_ring()
if sage.rings.fraction_field_element.is_FractionFieldElement(x):
if x.denominator() != 1:
raise TypeError, "denominator must be 1"
else:
x = x.numerator()
if isinstance(x, Polynomial):
if x.base_ring() is R:
x = list(x.list())
else:
x = [R(a) for a in x.list()]
elif isinstance(x, list):
if check:
x = [R(a) for a in x]
elif isinstance(x, dict):
if check:
m = infinity
zero = R(0)
n = max(x.keys())
v = [zero for _ in xrange(n+1)]
for i, z in x.iteritems():
v[i] = R(z)
m = min(m, v[i].precision_absolute())
x = v
else:
m = sage.rings.padics.misc.min(a.precision_absolute() for a in x.values())
if not absprec is None:
m = min(m, absprec)
Polynomial_generic_dense.__init__(self, parent, x, absprec = m)
return
elif isinstance(x, pari_gen):
x = [R(w) for w in x.Vecrev()]
else:
x = [R(x)]
if absprec is None:
absprec = infinity
m = min([a.precision_absolute() for a in x] + [absprec])
Polynomial_generic_dense.__init__(self, parent, x, absprec = m)
def __init__(self, parent, x=None, check=True, is_gen = False, construct=False):
Polynomial_generic_dense.__init__(self, parent, x, check, is_gen)
def _mul_(self,other):
res = Polynomial_generic_dense._mul_(self,other)
Approximation.__init__(res,res.parent())
res._expected_degree = res.degree()
res._length = res._expected_degree + 1
return res
def __init__(self, parent, x, check=True, is_gen=False, construct=False):
Polynomial_generic_dense.__init__(self, parent, x, check=check, is_gen=is_gen, construct=construct)
Approximation.__init__(self,parent)
self._expected_degree = self.degree()
self._length = self._expected_degree + 1