def __init__(self, *iters):
"""
TESTS::
sage: import sage.combinat.cartesian_product as cartesian_product
sage: cp = cartesian_product.CartesianProduct_iters([1,2],[3,4]); cp
Cartesian product of [1, 2], [3, 4]
sage: loads(dumps(cp)) == cp
True
"""
self.iters = iters
self._mrange = xmrange_iter(iters)
CombinatorialClass.__init__(self)
def __init__(self, *iters):
"""
TESTS::
sage: import sage.combinat.cartesian_product as cartesian_product
sage: cp = cartesian_product.CartesianProduct_iters([1,2],[3,4]); cp
Cartesian product of [1, 2], [3, 4]
sage: loads(dumps(cp)) == cp
True
"""
self.iters = iters
self._mrange = xmrange_iter(iters)
CombinatorialClass.__init__(self)
def __init__(self, s):
"""
Constructs the combinatorial class of the sub multisets of s.
EXAMPLES::
sage: S = Subsets([1,2,2,3], submultiset=True)
sage: Subsets([1,2,3,3], submultiset=True).cardinality()
12
"""
CombinatorialClass.__init__(self, category=FiniteEnumeratedSets())
s = sorted(list(s))
indices = list(sorted(Set([s.index(a) for a in s])))
multiplicities = [len([a for a in s if a == s[i]]) for i in indices]
self._s = s
self._indices = indices
self._multiplicities = multiplicities
def __init__(self, s, k):
"""
TESTS::
sage: s = Subsets(Set([1]))
sage: e = s.first()
sage: isinstance(e, s.element_class)
True
In the following "_test_elements" is temporarily disabled
until :class:`sage.sets.set.Set_object_enumerated` objects
pass the category tests::
sage: S = Subsets(3,2)
sage: TestSuite(S).run(skip=["_test_elements"])
"""
CombinatorialClass.__init__(self, category=FiniteEnumeratedSets())
self.s = Set(s)
self.k = k
def __init__(self, s, k):
"""
TESTS::
sage: s = Subsets(Set([1]))
sage: e = s.first()
sage: isinstance(e, s.element_class)
True
In the following "_test_elements" is temporarily disabled
until :class:`sage.sets.set.Set_object_enumerated` objects
pass the category tests::
sage: S = Subsets(3,2)
sage: TestSuite(S).run(skip=["_test_elements"])
"""
CombinatorialClass.__init__(self, category=FiniteEnumeratedSets())
self.s = Set(s)
self.k = k
def __init__(self, s):
"""
Constructs the combinatorial class of the sub multisets of s.
EXAMPLES::
sage: S = Subsets([1,2,2,3], submultiset=True)
sage: Subsets([1,2,3,3], submultiset=True).cardinality()
12
"""
CombinatorialClass.__init__(self, category=FiniteEnumeratedSets())
s = sorted(list(s))
indices = list(sorted(Set([s.index(a) for a in s])))
multiplicities = [len([a for a in s if a == s[i]])
for i in indices]
self._s = s
self._indices = indices
self._multiplicities = multiplicities