def __classcall__(cls, indices, prefix=None, names=None, **kwds):
"""
TESTS::
sage: F = FreeAbelianMonoid(index_set=['a','b','c'])
sage: G = FreeAbelianMonoid(index_set=('a','b','c'))
sage: H = FreeAbelianMonoid(index_set=tuple('abc'))
sage: F is G and F is H
True
sage: F = FreeAbelianMonoid(index_set=['a','b','c'], latex_bracket=['LEFT', 'RIGHT'])
sage: F.print_options()['latex_bracket']
('LEFT', 'RIGHT')
sage: F is G
False
sage: Groups.Commutative.free()
Traceback (most recent call last):
...
ValueError: either the indices or names must be given
"""
names, indices, prefix = parse_indices_names(names, indices, prefix, kwds)
if prefix is None:
prefix = "F"
# bracket or latex_bracket might be lists, so convert
# them to tuples so that they're hashable.
bracket = kwds.get('bracket', None)
if isinstance(bracket, list):
kwds['bracket'] = tuple(bracket)
latex_bracket = kwds.get('latex_bracket', None)
if isinstance(latex_bracket, list):
kwds['latex_bracket'] = tuple(latex_bracket)
return super(IndexedMonoid, cls).__classcall__(cls, indices, prefix,
names=names, **kwds)
def __classcall__(cls, indices, prefix=None, names=None, **kwds):
"""
TESTS::
sage: F = FreeAbelianMonoid(index_set=['a','b','c'])
sage: G = FreeAbelianMonoid(index_set=('a','b','c'))
sage: H = FreeAbelianMonoid(index_set=tuple('abc'))
sage: F is G and F is H
True
sage: F = FreeAbelianMonoid(index_set=['a','b','c'], latex_bracket=['LEFT', 'RIGHT'])
sage: F.print_options()['latex_bracket']
('LEFT', 'RIGHT')
sage: F is G
False
sage: Groups.Commutative.free()
Traceback (most recent call last):
...
ValueError: either the indices or names must be given
"""
names, indices, prefix = parse_indices_names(names, indices, prefix,
kwds)
if prefix is None:
prefix = "F"
# bracket or latex_bracket might be lists, so convert
# them to tuples so that they're hashable.
bracket = kwds.get('bracket', None)
if isinstance(bracket, list):
kwds['bracket'] = tuple(bracket)
latex_bracket = kwds.get('latex_bracket', None)
if isinstance(latex_bracket, list):
kwds['latex_bracket'] = tuple(latex_bracket)
return super(IndexedMonoid, cls).__classcall__(cls,
indices,
prefix,
names=names,
**kwds)