#20239: Make p-adic some_elements() non-trivial
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Reporter: saraedum | Owner:
Type: enhancement | Status: new
Priority: minor | Milestone: sage-7.2
Component: padics | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Description changed by saraedum:
Old description:
> `some_elements()` currently returns 0, 1, p. This makes most of our
> automated tests trivial.
New description:
`some_elements()` currently returns 0, 1, p. This makes most of our
automated tests trivial.
Something like this should be sufficient:
{{{
def _some_elements(self):
p = self(self.prime())
pi = self.uniformizer()
e = self.ramification_index()
yield self.zero()
yield self.one()
yield -self.one()
yield p
yield pi
from sage.rings.all import NN
for n in NN.some_elements():
yield p**n
yield pi**n
yield self.zero().add_bigoh(0)
yield self.zero().add_bigoh(self.precision_cap()-1)
if self.is_field():
yield self.zero().add_bigoh(-2)
for x in self.residue_field().some_elements():
yield self(x)
yield self.teichmuller(x)
def some_elements(self):
r"""
Returns a list of elements in this ring.
This is typically used for running generic tests (see
:class:`TestSuite`).
EXAMPLES::
sage: Zp(2).some_elements()
[0, 1 + O(2^20), 2 + O(2^21)]
"""
for x in self._some_elements():
yield x
if self.is_field() and not x.is_zero():
yield ~x
yield x<<1
yield x<<self.precision_cap()-1)
}}}
however, it should also detect duplicates (using cache_key.)
--
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Ticket URL: <http://trac.sagemath.org/ticket/20239#comment:1>
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