def __init__(self, parent, labels, subset, left, right):
"""
TESTS::
sage: S = species.SetSpecies()
sage: F = S * S
sage: a = F.structures(['a','b','c']).random_element()
sage: a == loads(dumps(a))
True
"""
self._subset = subset
GenericSpeciesStructure.__init__(self, parent, labels, [left, right])
def __init__(self, parent, labels, pi, f, gs):
"""
TESTS::
sage: E = species.SetSpecies(); C = species.CycleSpecies()
sage: L = E(C)
sage: a = L.structures(['a','b','c']).random_element()
sage: a == loads(dumps(a))
True
"""
self._partition = pi
GenericSpeciesStructure.__init__(self, parent, labels, [f, gs])
def __init__(self, parent, labels, subset, left, right):
"""
TESTS::
sage: S = species.SetSpecies()
sage: F = S * S
sage: a = F.structures(['a','b','c']).random_element()
sage: a == loads(dumps(a))
True
"""
self._subset = subset
GenericSpeciesStructure.__init__(self, parent, labels, [left, right])
def __init__(self, parent, labels, pi, f, gs):
"""
TESTS::
sage: E = species.SetSpecies(); C = species.CycleSpecies()
sage: L = E(C)
sage: a = L.structures(['a','b','c']).random_element()
sage: a == loads(dumps(a))
True
"""
self._partition = pi
GenericSpeciesStructure.__init__(self, parent, labels, [f, gs])
def __init__(self, parent, labels, list):
"""
EXAMPLES::
sage: from sage.combinat.species.partition_species import PartitionSpeciesStructure
sage: P = species.PartitionSpecies()
sage: s = PartitionSpeciesStructure(P, ['a','b','c'], [[1,2],[3]]); s
{{'a', 'b'}, {'c'}}
sage: s == loads(dumps(s))
True
"""
list = [SubsetSpeciesStructure(parent, labels, block) if not isinstance(block, SubsetSpeciesStructure) else block for block in list]
list.sort(key=lambda block:(-len(block), block))
GenericSpeciesStructure.__init__(self, parent, labels, list)
def __init__(self, parent, labels, list):
"""
EXAMPLES::
sage: from sage.combinat.species.partition_species import PartitionSpeciesStructure
sage: P = species.PartitionSpecies()
sage: s = PartitionSpeciesStructure(P, ['a','b','c'], [[1,2],[3]]); s
{{'a', 'b'}, {'c'}}
sage: s == loads(dumps(s))
True
"""
list = [SubsetSpeciesStructure(parent, labels, block) if not isinstance(block, SubsetSpeciesStructure) else block for block in list]
list.sort(key=lambda block:(-len(block), block))
GenericSpeciesStructure.__init__(self, parent, labels, list)
def __repr__(self):
"""
EXAMPLES::
sage: S = species.SubsetSpecies()
sage: a = S.structures(["a","b","c"]).random_element(); a
{}
"""
s = GenericSpeciesStructure.__repr__(self)
return "{" + s[1:-1] + "}"
def __repr__(self):
"""
EXAMPLES::
sage: S = species.CycleSpecies()
sage: a = S.structures(["a","b","c"]).random_element(); a
('a', 'b', 'c')
"""
s = GenericSpeciesStructure.__repr__(self)
return "(" + s[1:-1] + ")"
def __repr__(self):
"""
EXAMPLES::
sage: S = species.PartitionSpecies()
sage: a = S.structures(["a","b","c"]).random_element(); a
{{'a', 'b', 'c'}}
"""
s = GenericSpeciesStructure.__repr__(self)
return "{"+s[1:-1]+"}"
def __repr__(self):
"""
EXAMPLES::
sage: S = species.CycleSpecies()
sage: a = S.structures(["a","b","c"]).random_element(); a
('a', 'b', 'c')
"""
s = GenericSpeciesStructure.__repr__(self)
return "(" + s[1:-1] + ")"
def __repr__(self):
"""
EXAMPLES::
sage: S = species.SubsetSpecies()
sage: a = S.structures(["a","b","c"]).random_element(); a
{}
"""
s = GenericSpeciesStructure.__repr__(self)
return "{" + s[1:-1] + "}"
def __repr__(self):
"""
EXAMPLES::
sage: S = species.PartitionSpecies()
sage: a = S.structures(["a","b","c"]).random_element(); a
{{'a', 'b', 'c'}}
"""
s = GenericSpeciesStructure.__repr__(self)
return "{" + s[1:-1] + "}"
def __repr__(self):
"""
EXAMPLES::
sage: F = species.CharacteristicSpecies(3)
sage: a = F.structures([1, 2, 3]).random_element(); a
{1, 2, 3}
sage: F = species.SingletonSpecies()
sage: F.structures([1]).list()
[1]
sage: F = species.EmptySetSpecies()
sage: F.structures([]).list()
[{}]
"""
s = GenericSpeciesStructure.__repr__(self)
if self.parent()._n == 1:
return s[1:-1]
else:
return "{" + s[1:-1] + "}"
