def test_membership(self): self.assertTrue(is_member(Multiset())) self.assertTrue(is_member(Multiset(3))) self.assertFalse(is_member(Atom(3))) self.assertTrue(is_absolute_member(Multiset(3))) self.assertFalse(is_absolute_member(Multiset(Couplet(3, 4)))) self.assertRaises(TypeError, lambda: is_member(3))
def test_membership(self): self.assertTrue(is_member(Multiset())) self.assertTrue(is_member(Multiset(3))) self.assertFalse(is_member(Atom(3))) self.assertTrue(is_absolute_member(Multiset(3))) self.assertFalse(is_absolute_member(Multiset(Couplet(3, 4)))) self.assertRaises(AttributeError, lambda: is_member(3))
def unary_multi_extend(set_or_mset, op, _checked=True) -> 'P( M x N )': r"""Return the :term:`unary extension` of ``op`` from one :term:`algebra` to another algebra. For this extension, the elements of the extended algebra must be :term:`multiset`\s of the elements of the original algebra. :param set_or_mset: A :term:`set` or a :term:`multiset` with elements on which ``op`` operates. :param op: A :term:`unary operation` that operates on the elements of ``set_or_mset``. :return: A set that consists of the defined results of ``op`` when executed on the elements of ``set_or_mset``, or `Undef()` if ``set_or_mset`` is neither a set nor a multiset. """ if _checked: if not _multisets.is_member(set_or_mset) and not _sets.is_member( set_or_mset): return _undef.make_or_raise_undef2(set_or_mset) else: assert _multisets.is_member(set_or_mset) or _sets.is_member(set_or_mset) \ or set_or_mset is _undef.Undef() if set_or_mset is _undef.Undef(): return _undef.make_or_raise_undef(2) def _get_values_set(set_): result_counter = _collections.Counter() for elem in set_: result = op(elem) if result is not _undef.Undef(): result_counter[result] += 1 return result_counter def _get_values_multiset(mset): result_counter = _collections.Counter() for elem, multiplicity in mset.data.items(): result = op(elem) if result is not _undef.Undef(): result_counter[result] += multiplicity return result_counter get_values = _get_values_multiset if _multisets.is_member( set_or_mset) else _get_values_set return _mo.Multiset(get_values(set_or_mset))
def binary_multi_extend(multiset1: 'P( M x N )', multiset2: 'P( M x N )', op, _checked=True) -> 'P( M x N )': r"""Return the :term:`binary extension` of ``op`` from one :term:`algebra` to another algebra. For this extension, the elements of the extended algebra must be :term:`multiset`\s of the elements of the original algebra. :param multiset1: A :term:`multiset` with elements on which ``op`` operates. :param multiset2: A multiset with elements on which ``op`` operates. :param op: A :term:`binary operation` that operates on the elements of ``multiset1`` and ``multiset2``. :return: A multiset that consists of the defined results of ``op`` when executed on all combinations of the elements of ``multiset1`` and ``multiset2``, or `Undef()` if either set is not a :class:`~.Multiset`. """ if _checked: if not _multisets.is_member(multiset1): return _undef.make_or_raise_undef2(multiset1) if not _multisets.is_member(multiset2): return _undef.make_or_raise_undef2(multiset2) else: assert _multisets.is_member_or_undef(multiset1) assert _multisets.is_member_or_undef(multiset2) if multiset1 is _undef.Undef() or multiset2 is _undef.Undef(): return _undef.make_or_raise_undef(2) def _get_values(_set1, _set2): return_count = _collections.Counter() for elem1, multi1 in _set1.data.items(): for elem2, multi2 in _set2.data.items(): result = op(elem1, elem2) if result is not _undef.Undef(): return_count[result] += multi1 * multi2 return return_count return _mo.Multiset(_get_values(multiset1, multiset2), direct_load=True)
def unary_multi_extend(set_or_mset, op, _checked=True) -> 'P( M x N )': r"""Return the :term:`unary extension` of ``op`` from one :term:`algebra` to another algebra. For this extension, the elements of the extended algebra must be :term:`multiset`\s of the elements of the original algebra. :param set_or_mset: A :term:`set` or a :term:`multiset` with elements on which ``op`` operates. :param op: A :term:`unary operation` that operates on the elements of ``set_or_mset``. :return: A set that consists of the defined results of ``op`` when executed on the elements of ``set_or_mset``, or `Undef()` if ``set_or_mset`` is neither a set nor a multiset. """ if _checked: if not _multisets.is_member(set_or_mset) and not _sets.is_member(set_or_mset): return _undef.make_or_raise_undef2(set_or_mset) else: assert _multisets.is_member(set_or_mset) or _sets.is_member(set_or_mset) \ or set_or_mset is _undef.Undef() if set_or_mset is _undef.Undef(): return _undef.make_or_raise_undef(2) def _get_values_set(set_): result_counter = _collections.Counter() for elem in set_: result = op(elem) if result is not _undef.Undef(): result_counter[result] += 1 return result_counter def _get_values_multiset(mset): result_counter = _collections.Counter() for elem, multiplicity in mset.data.items(): result = op(elem) if result is not _undef.Undef(): result_counter[result] += multiplicity return result_counter get_values = _get_values_multiset if _multisets.is_member(set_or_mset) else _get_values_set return _mo.Multiset(get_values(set_or_mset))