def sort_key(self, order=None):
"""Return a canonical key that can be used for sorting.
Ordering is based on the size and sorted elements of the partition
and ties are broken with the rank.
Examples
========
>>> from sympy.utilities.iterables import default_sort_key
>>> from sympy.combinatorics.partitions import Partition
>>> from sympy.abc import x
>>> a = Partition([[1, 2]])
>>> b = Partition([[3, 4]])
>>> c = Partition([[1, x]])
>>> d = Partition([range(4)])
>>> l = [d, b, a + 1, a, c]
>>> l.sort(key=default_sort_key); l
[{{1, 2}}, {{1}, {2}}, {{1, x}}, {{3, 4}}, {{0, 1, 2, 3}}]
"""
if order is None:
members = self.members
else:
members = tuple(
sorted(self.members, key=lambda w: default_sort_key(w, order)))
return self.size, members, self.rank
def sort_key(self, order=None):
"""Return a canonical key that can be used for sorting.
Ordering is based on the size and sorted elements of the partition
and ties are broken with the rank.
Examples
========
>>> from sympy.utilities.iterables import default_sort_key
>>> from sympy.combinatorics.partitions import Partition
>>> from sympy.abc import x
>>> a = Partition([[1, 2]])
>>> b = Partition([[3, 4]])
>>> c = Partition([[1, x]])
>>> d = Partition([range(4)])
>>> l = [d, b, a + 1, a, c]
>>> l.sort(key=default_sort_key); l
[{{1, 2}}, {{1}, {2}}, {{1, x}}, {{3, 4}}, {{0, 1, 2, 3}}]
"""
if order is None:
members = self.members
else:
members = tuple(sorted(self.members,
key=lambda w: default_sort_key(w, order)))
return self.size, members, self.rank
def _sort_key(arg):
return default_sort_key(arg[0].as_independent(x)[1])
def _sort_key(arg):
return default_sort_key(arg[0].as_independent(x)[1])
def _sorted_args(self):
from sympy.utilities.misc import default_sort_key
return sorted(self.args, key=lambda w: default_sort_key(w))
def _sorted_args(self):
from sympy.utilities.misc import default_sort_key
return sorted(self.args, key=lambda w: default_sort_key(w))
