Beispiel #1
0
def is_reflexive(rel, _checked=True) -> bool:
    """Return whether ``rel`` is reflexive.

    :return: ``True`` if ``rel`` is :term:`reflexive`, ``False`` if it is not, or `Undef()` if
        ``rel`` is not a :term:`relation`.
    """
    if _checked:
        if not is_member(rel):
            return _undef.make_or_raise_undef()
    else:
        assert is_member(rel)
    if rel.cached_reflexive == _mo.CacheStatus.UNKNOWN:
        reflexive = all(_couplets.is_reflexive(couplet, _checked=False) for couplet in rel)
        rel.cache_reflexive(_mo.CacheStatus.from_bool(reflexive))
    return rel.cached_reflexive == _mo.CacheStatus.IS
Beispiel #2
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def is_reflexive(rel, _checked=True) -> bool:
    """Return whether ``rel`` is reflexive.

    :return: ``True`` if ``rel`` is :term:`reflexive`, ``False`` if it is not, or `Undef()` if
        ``rel`` is not a :term:`relation`.
    """
    if _checked:
        if not is_member(rel):
            return _undef.make_or_raise_undef2(rel)
    else:
        assert is_member_or_undef(rel)
        if rel is _undef.Undef():
            return _undef.make_or_raise_undef(2)
    if rel.cached_reflexive == _mo.CacheStatus.UNKNOWN:
        reflexive = all(
            _couplets.is_reflexive(couplet, _checked=False) for couplet in rel)
        rel.cache_reflexive(_mo.CacheStatus.from_bool(reflexive))
    return rel.cached_reflexive == _mo.CacheStatus.IS
Beispiel #3
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def is_reflexive(mo: _mo.MathObject, _checked: bool = True) -> bool:
    r"""Return whether ``mo`` is :term:`reflexive` or `Undef()` if not applicable.

    Is implemented for :term:`couplet`\s, :term:`relation`\s, :term:`clan`\s, :term:`multiclan`\s
    and  :term:`set`\s of (sets of ...) clans. Is also defined (but not yet implemented) for any
    combination of sets or :term:`multiset`\s of relations.
    """
    # pylint: disable=too-many-return-statements
    if _checked:
        if not isinstance(mo, _mo.MathObject):
            return _undef.make_or_raise_undef()

    # Check cache status.
    if mo.cached_reflexive == _mo.CacheStatus.IS:
        return True
    if mo.cached_reflexive == _mo.CacheStatus.IS_NOT:
        return False
    if mo.cached_reflexive == _mo.CacheStatus.N_A:
        return _undef.make_or_raise_undef(2)

    # Check types and algebra memberships.
    if _couplets.is_member(mo):
        return _couplets.is_reflexive(mo, _checked=False)
    if not mo.is_set and not mo.is_multiset:
        mo.cache_reflexive(_mo.CacheStatus.N_A)
        return _undef.make_or_raise_undef(2)
    if _relations.is_member(mo):
        return _relations.is_reflexive(mo, _checked=False)
    if _clans.is_member(mo):
        return _clans.is_reflexive(mo, _checked=False)
    if _multiclans.is_member(mo):
        return _multiclans.is_reflexive(mo, _checked=False)

    # Check higher (not yet defined) algebras.
    reflexive = _is_powerset_property(mo, _clans.get_ground_set(),
                                      is_reflexive)
    if reflexive is not _undef.Undef():
        mo.cache_reflexive(_mo.CacheStatus.from_bool(reflexive))
        return reflexive

    # Nothing applied: 'reflexive' is not defined.
    mo.cache_reflexive(_mo.CacheStatus.N_A)
    return _undef.make_or_raise_undef(2)
Beispiel #4
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def is_reflexive(mo: _mo.MathObject, _checked: bool=True) -> bool:
    r"""Return whether ``mo`` is :term:`reflexive` or `Undef()` if not applicable.

    Is implemented for :term:`couplet`\s, :term:`relation`\s, :term:`clan`\s, :term:`multiclan`\s
    and  :term:`set`\s of (sets of ...) clans. Is also defined (but not yet implemented) for any
    combination of sets or :term:`multiset`\s of relations.
    """
    # pylint: disable=too-many-return-statements
    if _checked:
        if not isinstance(mo, _mo.MathObject):
            return _undef.make_or_raise_undef()

    # Check cache status.
    if mo.cached_reflexive == _mo.CacheStatus.IS:
        return True
    if mo.cached_reflexive == _mo.CacheStatus.IS_NOT:
        return False
    if mo.cached_reflexive == _mo.CacheStatus.N_A:
        return _undef.make_or_raise_undef(2)

    # Check types and algebra memberships.
    if _couplets.is_member(mo):
        return _couplets.is_reflexive(mo, _checked=False)
    if not mo.is_set and not mo.is_multiset:
        mo.cache_reflexive(_mo.CacheStatus.N_A)
        return _undef.make_or_raise_undef(2)
    if _relations.is_member(mo):
        return _relations.is_reflexive(mo, _checked=False)
    if _clans.is_member(mo):
        return _clans.is_reflexive(mo, _checked=False)
    if _multiclans.is_member(mo):
        return _multiclans.is_reflexive(mo, _checked=False)

    # Check higher (not yet defined) algebras.
    reflexive = _is_powerset_property(mo, _clans.get_ground_set(), is_reflexive)
    if reflexive is not _undef.Undef():
        mo.cache_reflexive(_mo.CacheStatus.from_bool(reflexive))
        return reflexive

    # Nothing applied: 'reflexive' is not defined.
    mo.cache_reflexive(_mo.CacheStatus.N_A)
    return _undef.make_or_raise_undef(2)
 def test_is_reflexive(self):
     """Basic tests of couplets.is_reflexive()."""
     self.assertTrue(is_reflexive(Couplet(left='a', right='a')))
     self.assertFalse(is_reflexive(_couplet_a_to_b))
     self.assertIs(is_reflexive(Undef()), Undef())
     self.assertIs(is_reflexive(Undef(), _checked=False), Undef())
 def test_is_reflexive(self):
     """Basic tests of couplets.is_reflexive()."""
     self.assertTrue(is_reflexive(Couplet(left="a", right="a")))
     self.assertFalse(is_reflexive(_couplet_a_to_b))
     self.assertIs(is_reflexive(Undef()), Undef())
     self.assertIs(is_reflexive(Undef(), _checked=False), Undef())