def __iter__(self):
"""
TESTS::
sage: SignedCompositions(0).list() #indirect doctest
[[]]
sage: SignedCompositions(1).list() #indirect doctest
[[1], [-1]]
sage: SignedCompositions(2).list() #indirect doctest
[[1, 1], [1, -1], [-1, 1], [-1, -1], [2], [-2]]
"""
for comp in Compositions_n.__iter__(self):
l = len(comp)
for sign in itertools.product([1,-1], repeat=l):
yield [ sign[i]*comp[i] for i in range(l)]
def __iter__(self):
"""
TESTS::
sage: SignedCompositions(0).list() #indirect doctest
[[]]
sage: SignedCompositions(1).list() #indirect doctest
[[1], [-1]]
sage: SignedCompositions(2).list() #indirect doctest
[[1, 1], [1, -1], [-1, 1], [-1, -1], [2], [-2]]
"""
for comp in Compositions_n.__iter__(self):
l = len(comp)
a = [[1,-1] for i in range(l)]
for sign in cartesian_product.CartesianProduct(*a):
yield [ sign[i]*comp[i] for i in range(l)]
def __iter__(self):
"""
TESTS::
sage: SignedCompositions(0).list() #indirect doctest
[[]]
sage: SignedCompositions(1).list() #indirect doctest
[[1], [-1]]
sage: SignedCompositions(2).list() #indirect doctest
[[1, 1], [1, -1], [-1, 1], [-1, -1], [2], [-2]]
"""
for comp in Compositions_n.__iter__(self):
l = len(comp)
a = [[1, -1] for i in range(l)]
for sign in cartesian_product.CartesianProduct(*a):
yield [sign[i] * comp[i] for i in range(l)]
