def is_absolute_member(obj: _mo.MathObject) -> bool:
"""Return whether ``obj`` is a member of the :term:`absolute ground set` of this algebra.
:return: ``True`` if ``obj`` is an :term:`absolute clan`, ``False`` if not.
.. note:: This function may call :meth:`~.MathObject.get_ground_set` on ``obj``. The result
of this operation is cached.
"""
if obj.cached_is_not_clan:
# If known to not be a clan, it's also not an absolute clan. No further caching.
return False
# The `or` clause in this `if` statement is a safety thing. It should never hit.
if obj.cached_absolute == _mo.CacheStatus.UNKNOWN or obj.cached_clan == _mo.CacheStatus.UNKNOWN:
# The 'absolute' state has not yet been cached. Determine whether obj is an absolute clan.
is_absolute_clan = obj.get_ground_set().is_subset(get_absolute_ground_set())
if obj.cached_clan == _mo.CacheStatus.UNKNOWN:
if is_absolute_clan:
# If it is an absolute clan, it is also a clan.
obj.cache_clan(_mo.CacheStatus.IS)
else:
# If it is not an absolute clan, it may still be a clan.
is_clan = is_member(obj)
if not is_clan:
# If it is neither an absolute clan nor a clan, exit. (That it is not a clan
# has already been cached in is_member().)
return False
# At this point, cached_clan == IS. Cache whether this is an absolute clan.
assert obj.cached_is_clan
obj.cache_absolute(_mo.CacheStatus.from_bool(is_absolute_clan))
# At this point, cached_clan == IS. Return whether it is an absolute clan.
return obj.cached_is_absolute
def is_absolute_member(obj: _mo.MathObject) -> bool:
"""Return whether ``obj`` is a member of the :term:`absolute ground set` of this algebra.
:return: ``True`` if ``obj`` is an :term:`absolute clan`, ``False`` if not.
.. note:: This function may call :meth:`~.MathObject.get_ground_set` on ``obj``. The result
of this operation is cached.
"""
if obj.cached_is_not_clan:
# If known to not be a clan, it's also not an absolute clan. No further caching.
return False
# The `or` clause in this `if` statement is a safety thing. It should never hit.
if obj.cached_absolute == _mo.CacheStatus.UNKNOWN or obj.cached_clan == _mo.CacheStatus.UNKNOWN:
# The 'absolute' state has not yet been cached. Determine whether obj is an absolute clan.
is_absolute_clan = obj.get_ground_set().is_subset(
get_absolute_ground_set())
if obj.cached_clan == _mo.CacheStatus.UNKNOWN:
if is_absolute_clan:
# If it is an absolute clan, it is also a clan.
obj.cache_clan(_mo.CacheStatus.IS)
else:
# If it is not an absolute clan, it may still be a clan.
is_clan = is_member(obj)
if not is_clan:
# If it is neither an absolute clan nor a clan, exit. (That it is not a clan
# has already been cached in is_member().)
return False
# At this point, cached_clan == IS. Cache whether this is an absolute clan.
assert obj.cached_is_clan
obj.cache_absolute(_mo.CacheStatus.from_bool(is_absolute_clan))
# At this point, cached_clan == IS. Return whether it is an absolute clan.
return obj.cached_is_absolute
def is_member(obj: _mo.MathObject) -> bool:
"""Return whether ``obj`` is a member of the :term:`ground set` of this :term:`algebra`.
:return: ``True`` if ``obj`` is a :term:`clan`, ``False`` if not.
.. note:: This function may call :meth:`~.MathObject.get_ground_set` on ``obj``. The result of
this operation is cached.
"""
if obj.cached_clan == _mo.CacheStatus.UNKNOWN:
is_clan = obj.get_ground_set().is_subset(get_ground_set())
obj.cache_clan(_mo.CacheStatus.from_bool(is_clan))
return obj.cached_is_clan
def is_member(obj: _mo.MathObject) -> bool:
"""Return whether ``obj`` is a member of the :term:`ground set` of this :term:`algebra`.
:return: ``True`` if ``obj`` is a :term:`clan`, ``False`` if not.
.. note:: This function may call :meth:`~.MathObject.get_ground_set` on ``obj``. The result of
this operation is cached.
"""
if obj.cached_clan == _mo.CacheStatus.UNKNOWN:
is_clan = obj.get_ground_set().is_subset(get_ground_set())
obj.cache_clan(_mo.CacheStatus.from_bool(is_clan))
return obj.cached_is_clan
