def __iter__(self):
"""
TESTS::
sage: WeightedIntegerVectors(7, [2,2]).list()
[]
sage: WeightedIntegerVectors(3, [2,1,1]).list()
[[1, 0, 1], [1, 1, 0], [0, 0, 3], [0, 1, 2], [0, 2, 1], [0, 3, 0]]
::
sage: ivw = [ WeightedIntegerVectors(k, [1,1,1]) for k in range(11) ]
sage: iv = [ IntegerVectors(k, 3) for k in range(11) ]
sage: all( [ sorted(iv[k].list()) == sorted(ivw[k].list()) for k in range(11) ] )
True
::
sage: ivw = [ WeightedIntegerVectors(k, [2,3,7]) for k in range(11) ]
sage: all( [ i.cardinality() == len(i.list()) for i in ivw] )
True
"""
if len(self._weights) == 0:
if self._n == 0:
yield []
return
perm = Word(self._weights).standard_permutation()
l = [x for x in sorted(self._weights)]
for x in self._recfun(self._n, l):
yield perm.action(x)
def list(self):
"""
TESTS::
sage: WeightedIntegerVectors(7, [2,2]).list()
[]
sage: WeightedIntegerVectors(3, [2,1,1]).list()
[[1, 0, 1], [1, 1, 0], [0, 0, 3], [0, 1, 2], [0, 2, 1], [0, 3, 0]]
::
sage: ivw = [ WeightedIntegerVectors(k, [1,1,1]) for k in range(11) ]
sage: iv = [ IntegerVectors(k, 3) for k in range(11) ]
sage: all( [ sorted(iv[k].list()) == sorted(ivw[k].list()) for k in range(11) ] )
True
::
sage: ivw = [ WeightedIntegerVectors(k, [2,3,7]) for k in range(11) ]
sage: all( [ i.cardinality() == len(i.list()) for i in ivw] )
True
"""
if len(self.weight) == 0:
if self.n == 0:
return [[]]
else:
return []
perm = Word(self.weight).standard_permutation()
l = [x for x in sorted(self.weight)]
return [perm.action(_) for _ in self._recfun(self.n,l)]
def __iter__(self):
"""
TESTS::
sage: WeightedIntegerVectors(7, [2,2]).list()
[]
sage: WeightedIntegerVectors(3, [2,1,1]).list()
[[1, 0, 1], [1, 1, 0], [0, 0, 3], [0, 1, 2], [0, 2, 1], [0, 3, 0]]
::
sage: ivw = [ WeightedIntegerVectors(k, [1,1,1]) for k in range(11) ]
sage: iv = [ IntegerVectors(k, 3) for k in range(11) ]
sage: all( [ sorted(iv[k].list()) == sorted(ivw[k].list()) for k in range(11) ] )
True
::
sage: ivw = [ WeightedIntegerVectors(k, [2,3,7]) for k in range(11) ]
sage: all( [ i.cardinality() == len(i.list()) for i in ivw] )
True
"""
if len(self._weights) == 0:
if self._n == 0:
yield []
return
perm = Word(self._weights).standard_permutation()
l = [x for x in sorted(self._weights)]
for x in self._recfun(self._n, l):
yield perm.action(x)
def list(self):
"""
TESTS::
sage: WeightedIntegerVectors(7, [2,2]).list()
[]
sage: WeightedIntegerVectors(3, [2,1,1]).list()
[[1, 0, 1], [1, 1, 0], [0, 0, 3], [0, 1, 2], [0, 2, 1], [0, 3, 0]]
::
sage: ivw = [ WeightedIntegerVectors(k, [1,1,1]) for k in range(11) ]
sage: iv = [ IntegerVectors(k, 3) for k in range(11) ]
sage: all( [ sorted(iv[k].list()) == sorted(ivw[k].list()) for k in range(11) ] )
True
::
sage: ivw = [ WeightedIntegerVectors(k, [2,3,7]) for k in range(11) ]
sage: all( [ i.cardinality() == len(i.list()) for i in ivw] )
True
"""
if len(self.weight) == 0:
if self.n == 0:
return [[]]
else:
return []
perm = Word(self.weight).standard_permutation()
l = [x for x in sorted(self.weight)]
return [perm.action(_) for _ in self._recfun(self.n, l)]
