def __getitem__(self, k):
r"""
Return the ``k``-th residue.
INPUT:
- ``k`` --- an integer between 1 and the length of the residue
sequence ``self``
The ``k``-th residue is the ``e``-residue (see
:meth:`sage.combinat.tableau.StandardTable.residue`) of the
integer ``k`` in some standard tableaux. As the entries of standard
tableaux are always between `1` and `n`, the size of the tableau,
the integer ``k`` must also be in this range (that is, this
is **not** 0-based!).
EXAMPLES::
sage: from sage.combinat.tableau_residues import ResidueSequence
sage: ResidueSequence(3,(0,0,1),[0,0,1,1,2,2,3,3])[4]
1
sage: ResidueSequence(3,(0,0,1),[0,0,1,1,2,2,3,3])[7]
0
sage: ResidueSequence(3,(0,0,1),[0,0,1,1,2,2,3,3])[9]
Traceback (most recent call last):
...
IndexError: k must be in the range 1, 2, ..., 8
"""
try:
return ClonableArray.__getitem__(self, k-1)
except (IndexError, KeyError):
raise IndexError('k must be in the range 1, 2, ..., {}'.format(len(self)))
def __getitem__(self, k):
r"""
Return the ``k``-th residue.
INPUT:
- ``k`` --- an integer between 1 and the length of the residue
sequence ``self``
The ``k``-th residue is the ``e``-residue (see
:meth:`sage.combinat.tableau.StandardTable.residue`) of the
integer ``k`` in some standard tableaux. As the entries of standard
tableaux are always between `1` and `n`, the size of the tableau,
the integer ``k`` must also be in this range (that is, this
is **not** 0-based!).
EXAMPLES::
sage: from sage.combinat.tableau_residues import ResidueSequence
sage: ResidueSequence(3,(0,0,1),[0,0,1,1,2,2,3,3])[4]
1
sage: ResidueSequence(3,(0,0,1),[0,0,1,1,2,2,3,3])[7]
0
sage: ResidueSequence(3,(0,0,1),[0,0,1,1,2,2,3,3])[9]
Traceback (most recent call last):
...
IndexError: k must be in the range 1, 2, ..., 8
"""
try:
return ClonableArray.__getitem__(self, k - 1)
except (IndexError, KeyError):
raise IndexError('k must be in the range 1, 2, ..., {}'.format(len(self)))
def __getitem__(self, idx):
"""
INPUT:
- ``idx`` -- a valid path in ``self`` identifying a node
.. NOTE::
The default implementation here assumes that the container of the
node inherits from
:class:`~sage.structure.list_clone.ClonableArray`.
EXAMPLES::
sage: x = OrderedTree([[],[[]]])
sage: x[1,0]
[]
sage: x = OrderedTree([[],[[]]])
sage: x[()]
[[], [[]]]
sage: x[(0,)]
[]
sage: x[0,0]
Traceback (most recent call last):
...
IndexError: list index out of range
"""
if isinstance(idx, slice):
return ClonableArray.__getitem__(self, idx)
try:
i = int(idx)
except TypeError:
res = self
# idx is supposed to be an iterable of ints
for i in idx:
res = ClonableArray._getitem(res, i)
return res
else:
return ClonableArray._getitem(self, i)
def __getitem__(self, idx):
"""
INPUT:
- ``idx`` -- a valid path in ``self`` identifying a node
.. NOTE::
The default implementation here assumes that the container of the
node inherits from
:class:`~sage.structure.list_clone.ClonableArray`.
EXAMPLES::
sage: x = OrderedTree([[],[[]]])
sage: x[1,0]
[]
sage: x = OrderedTree([[],[[]]])
sage: x[()]
[[], [[]]]
sage: x[(0,)]
[]
sage: x[0,0]
Traceback (most recent call last):
...
IndexError: list index out of range
"""
if isinstance(idx, slice):
return ClonableArray.__getitem__(self, idx)
try:
i = int(idx)
except TypeError:
res = self
# idx is supposed to be an iterable of ints
for i in idx:
res = ClonableArray._getitem(res, i)
return res
else:
return ClonableArray._getitem(self, i)
