cpython/Lib/enum.py

import sys
from types import MappingProxyType, DynamicClassAttribute
from operator import or_ as _or_
from functools import reduce
from builtins import property as _bltin_property, bin as _bltin_bin


__all__ = [
        'EnumType', 'EnumMeta',
        'Enum', 'IntEnum', 'StrEnum', 'Flag', 'IntFlag',
        'auto', 'unique', 'property', 'verify',
        'FlagBoundary', 'STRICT', 'CONFORM', 'EJECT', 'KEEP',
        'global_flag_repr', 'global_enum_repr', 'global_enum',
        'EnumCheck', 'CONTINUOUS', 'NAMED_FLAGS', 'UNIQUE',
        ]


# Dummy value for Enum and Flag as there are explicit checks for them
# before they have been created.
# This is also why there are checks in EnumType like `if Enum is not None`
Enum = Flag = EJECT = None

def _is_descriptor(obj):
    """
    Returns True if obj is a descriptor, False otherwise.
    """
    return (
            hasattr(obj, '__get__') or
            hasattr(obj, '__set__') or
            hasattr(obj, '__delete__')
            )

def _is_dunder(name):
    """
    Returns True if a __dunder__ name, False otherwise.
    """
    return (
            len(name) > 4 and
            name[:2] == name[-2:] == '__' and
            name[2] != '_' and
            name[-3] != '_'
            )

def _is_sunder(name):
    """
    Returns True if a _sunder_ name, False otherwise.
    """
    return (
            len(name) > 2 and
            name[0] == name[-1] == '_' and
            name[1:2] != '_' and
            name[-2:-1] != '_'
            )

def _is_private(cls_name, name):
    # do not use `re` as `re` imports `enum`
    pattern = '_%s__' % (cls_name, )
    pat_len = len(pattern)
    if (
            len(name) > pat_len
            and name.startswith(pattern)
            and name[pat_len:pat_len+1] != ['_']
            and (name[-1] != '_' or name[-2] != '_')
        ):
        return True
    else:
        return False

def _is_single_bit(num):
    """
    True if only one bit set in num (should be an int)
    """
    if num == 0:
        return False
    num &= num - 1
    return num == 0

def _make_class_unpicklable(obj):
    """
    Make the given obj un-picklable.

    obj should be either a dictionary, or an Enum
    """
    def _break_on_call_reduce(self, proto):
        raise TypeError('%r cannot be pickled' % self)
    if isinstance(obj, dict):
        obj['__reduce_ex__'] = _break_on_call_reduce
        obj['__module__'] = '<unknown>'
    else:
        setattr(obj, '__reduce_ex__', _break_on_call_reduce)
        setattr(obj, '__module__', '<unknown>')

def _iter_bits_lsb(num):
    # num must be an integer
    if isinstance(num, Enum):
        num = num.value
    while num:
        b = num & (~num + 1)
        yield b
        num ^= b

def show_flag_values(value):
    return list(_iter_bits_lsb(value))

def bin(num, max_bits=None):
    """
    Like built-in bin(), except negative values are represented in
    twos-compliment, and the leading bit always indicates sign
    (0=positive, 1=negative).

    >>> bin(10)
    '0b0 1010'
    >>> bin(~10)   # ~10 is -11
    '0b1 0101'
    """

    ceiling = 2 ** (num).bit_length()
    if num >= 0:
        s = _bltin_bin(num + ceiling).replace('1', '0', 1)
    else:
        s = _bltin_bin(~num ^ (ceiling - 1) + ceiling)
    sign = s[:3]
    digits = s[3:]
    if max_bits is not None:
        if len(digits) < max_bits:
            digits = (sign[-1] * max_bits + digits)[-max_bits:]
    return "%s %s" % (sign, digits)


_auto_null = object()
class auto:
    """
    Instances are replaced with an appropriate value in Enum class suites.
    """
    value = _auto_null

class property(DynamicClassAttribute):
    """
    This is a descriptor, used to define attributes that act differently
    when accessed through an enum member and through an enum class.
    Instance access is the same as property(), but access to an attribute
    through the enum class will instead look in the class' _member_map_ for
    a corresponding enum member.
    """

    def __get__(self, instance, ownerclass=None):
        if instance is None:
            try:
                return ownerclass._member_map_[self.name]
            except KeyError:
                raise AttributeError(
                        '%s: no class attribute %r' % (ownerclass.__name__, self.name)
                        )
        else:
            if self.fget is None:
                # check for member
                if self.name in ownerclass._member_map_:
                    import warnings
                    warnings.warn(
                            "accessing one member from another is not supported, "
                            " and will be disabled in 3.12",
                            DeprecationWarning,
                            stacklevel=2,
                            )
                    return ownerclass._member_map_[self.name]
                raise AttributeError(
                        '%s: no instance attribute %r' % (ownerclass.__name__, self.name)
                        )
            else:
                return self.fget(instance)

    def __set__(self, instance, value):
        if self.fset is None:
            raise AttributeError(
                    "%s: cannot set instance attribute %r" % (self.clsname, self.name)
                    )
        else:
            return self.fset(instance, value)

    def __delete__(self, instance):
        if self.fdel is None:
            raise AttributeError(
                    "%s: cannot delete instance attribute %r" % (self.clsname, self.name)
                    )
        else:
            return self.fdel(instance)

    def __set_name__(self, ownerclass, name):
        self.name = name
        self.clsname = ownerclass.__name__


class _proto_member:
    """
    intermediate step for enum members between class execution and final creation
    """

    def __init__(self, value):
        self.value = value

    def __set_name__(self, enum_class, member_name):
        """
        convert each quasi-member into an instance of the new enum class
        """
        # first step: remove ourself from enum_class
        delattr(enum_class, member_name)
        # second step: create member based on enum_class
        value = self.value
        if not isinstance(value, tuple):
            args = (value, )
        else:
            args = value
        if enum_class._member_type_ is tuple:   # special case for tuple enums
            args = (args, )     # wrap it one more time
        if not enum_class._use_args_:
            enum_member = enum_class._new_member_(enum_class)
            if not hasattr(enum_member, '_value_'):
                enum_member._value_ = value
        else:
            enum_member = enum_class._new_member_(enum_class, *args)
            if not hasattr(enum_member, '_value_'):
                if enum_class._member_type_ is object:
                    enum_member._value_ = value
                else:
                    try:
                        enum_member._value_ = enum_class._member_type_(*args)
                    except Exception as exc:
                        raise TypeError(
                                '_value_ not set in __new__, unable to create it'
                                ) from None
        value = enum_member._value_
        enum_member._name_ = member_name
        enum_member.__objclass__ = enum_class
        enum_member.__init__(*args)
        enum_member._sort_order_ = len(enum_class._member_names_)
        # If another member with the same value was already defined, the
        # new member becomes an alias to the existing one.
        for name, canonical_member in enum_class._member_map_.items():
            if canonical_member._value_ == enum_member._value_:
                enum_member = canonical_member
                break
        else:
            # this could still be an alias if the value is multi-bit and the
            # class is a flag class
            if (
                    Flag is None
                    or not issubclass(enum_class, Flag)
                ):
                # no other instances found, record this member in _member_names_
                enum_class._member_names_.append(member_name)
            elif (
                    Flag is not None
                    and issubclass(enum_class, Flag)
                    and _is_single_bit(value)
                ):
                # no other instances found, record this member in _member_names_
                enum_class._member_names_.append(member_name)
        # get redirect in place before adding to _member_map_
        # but check for other instances in parent classes first
        need_override = False
        descriptor = None
        for base in enum_class.__mro__[1:]:
            descriptor = base.__dict__.get(member_name)
            if descriptor is not None:
                if isinstance(descriptor, (property, DynamicClassAttribute)):
                    break
                else:
                    need_override = True
                    # keep looking for an enum.property
        if descriptor and not need_override:
            # previous enum.property found, no further action needed
            pass
        else:
            redirect = property()
            redirect.__set_name__(enum_class, member_name)
            if descriptor and need_override:
                # previous enum.property found, but some other inherited attribute
                # is in the way; copy fget, fset, fdel to this one
                redirect.fget = descriptor.fget
                redirect.fset = descriptor.fset
                redirect.fdel = descriptor.fdel
            setattr(enum_class, member_name, redirect)
        # now add to _member_map_ (even aliases)
        enum_class._member_map_[member_name] = enum_member
        try:
            # This may fail if value is not hashable. We can't add the value
            # to the map, and by-value lookups for this value will be
            # linear.
            enum_class._value2member_map_.setdefault(value, enum_member)
        except TypeError:
            # keep track of the value in a list so containment checks are quick
            enum_class._unhashable_values_.append(value)


class _EnumDict(dict):
    """
    Track enum member order and ensure member names are not reused.

    EnumType will use the names found in self._member_names as the
    enumeration member names.
    """
    def __init__(self):
        super().__init__()
        self._member_names = []
        self._last_values = []
        self._ignore = []
        self._auto_called = False

    def __setitem__(self, key, value):
        """
        Changes anything not dundered or not a descriptor.

        If an enum member name is used twice, an error is raised; duplicate
        values are not checked for.

        Single underscore (sunder) names are reserved.
        """
        if _is_private(self._cls_name, key):
            # do nothing, name will be a normal attribute
            pass
        elif _is_sunder(key):
            if key not in (
                    '_order_',
                    '_generate_next_value_', '_missing_', '_ignore_',
                    '_iter_member_', '_iter_member_by_value_', '_iter_member_by_def_',
                    ):
                raise ValueError(
                        '_sunder_ names, such as %r, are reserved for future Enum use'
                        % (key, )
                        )
            if key == '_generate_next_value_':
                # check if members already defined as auto()
                if self._auto_called:
                    raise TypeError("_generate_next_value_ must be defined before members")
                _gnv = value.__func__ if isinstance(value, staticmethod) else value
                setattr(self, '_generate_next_value', _gnv)
            elif key == '_ignore_':
                if isinstance(value, str):
                    value = value.replace(',',' ').split()
                else:
                    value = list(value)
                self._ignore = value
                already = set(value) & set(self._member_names)
                if already:
                    raise ValueError(
                            '_ignore_ cannot specify already set names: %r'
                            % (already, )
                            )
        elif _is_dunder(key):
            if key == '__order__':
                key = '_order_'
        elif key in self._member_names:
            # descriptor overwriting an enum?
            raise TypeError('%r already defined as: %r' % (key, self[key]))
        elif key in self._ignore:
            pass
        elif not _is_descriptor(value):
            if key in self:
                # enum overwriting a descriptor?
                raise TypeError('%r already defined as: %r' % (key, self[key]))
            if isinstance(value, auto):
                if value.value == _auto_null:
                    value.value = self._generate_next_value(
                            key, 1, len(self._member_names), self._last_values[:],
                            )
                    self._auto_called = True
                value = value.value
            self._member_names.append(key)
            self._last_values.append(value)
        super().__setitem__(key, value)

    def update(self, members, **more_members):
        try:
            for name in members.keys():
                self[name] = members[name]
        except AttributeError:
            for name, value in members:
                self[name] = value
        for name, value in more_members.items():
            self[name] = value


class EnumType(type):
    """
    Metaclass for Enum
    """

    @classmethod
    def __prepare__(metacls, cls, bases, **kwds):
        # check that previous enum members do not exist
        metacls._check_for_existing_members(cls, bases)
        # create the namespace dict
        enum_dict = _EnumDict()
        enum_dict._cls_name = cls
        # inherit previous flags and _generate_next_value_ function
        member_type, first_enum = metacls._get_mixins_(cls, bases)
        if first_enum is not None:
            enum_dict['_generate_next_value_'] = getattr(
                    first_enum, '_generate_next_value_', None,
                    )
        return enum_dict

    def __new__(metacls, cls, bases, classdict, *, boundary=None, _simple=False, **kwds):
        # an Enum class is final once enumeration items have been defined; it
        # cannot be mixed with other types (int, float, etc.) if it has an
        # inherited __new__ unless a new __new__ is defined (or the resulting
        # class will fail).
        #
        # remove any keys listed in _ignore_
        if _simple:
            return super().__new__(metacls, cls, bases, classdict, **kwds)
        classdict.setdefault('_ignore_', []).append('_ignore_')
        ignore = classdict['_ignore_']
        for key in ignore:
            classdict.pop(key, None)
        #
        # grab member names
        member_names = classdict._member_names
        #
        # check for illegal enum names (any others?)
        invalid_names = set(member_names) & {'mro', ''}
        if invalid_names:
            raise ValueError('Invalid enum member name: {0}'.format(
                ','.join(invalid_names)))
        #
        # adjust the sunders
        _order_ = classdict.pop('_order_', None)
        # convert to normal dict
        classdict = dict(classdict.items())
        #
        # data type of member and the controlling Enum class
        member_type, first_enum = metacls._get_mixins_(cls, bases)
        __new__, save_new, use_args = metacls._find_new_(
                classdict, member_type, first_enum,
                )
        classdict['_new_member_'] = __new__
        classdict['_use_args_'] = use_args
        #
        # convert future enum members into temporary _proto_members
        # and record integer values in case this will be a Flag
        flag_mask = 0
        for name in member_names:
            value = classdict[name]
            if isinstance(value, int):
                flag_mask |= value
            classdict[name] = _proto_member(value)
        #
        # house-keeping structures
        classdict['_member_names_'] = []
        classdict['_member_map_'] = {}
        classdict['_value2member_map_'] = {}
        classdict['_unhashable_values_'] = []
        classdict['_member_type_'] = member_type
        #
        # Flag structures (will be removed if final class is not a Flag
        classdict['_boundary_'] = (
                boundary
                or getattr(first_enum, '_boundary_', None)
                )
        classdict['_flag_mask_'] = flag_mask
        classdict['_all_bits_'] = 2 ** ((flag_mask).bit_length()) - 1
        classdict['_inverted_'] = None
        #
        # create a default docstring if one has not been provided
        if '__doc__' not in classdict:
            classdict['__doc__'] = 'An enumeration.'
        try:
            exc = None
            enum_class = super().__new__(metacls, cls, bases, classdict, **kwds)
        except RuntimeError as e:
            # any exceptions raised by member.__new__ will get converted to a
            # RuntimeError, so get that original exception back and raise it instead
            exc = e.__cause__ or e
        if exc is not None:
            raise exc
        #
        # double check that repr and friends are not the mixin's or various
        # things break (such as pickle)
        # however, if the method is defined in the Enum itself, don't replace
        # it
        for name in ('__repr__', '__str__', '__format__', '__reduce_ex__'):
            if name in classdict:
                continue
            class_method = getattr(enum_class, name)
            obj_method = getattr(member_type, name, None)
            enum_method = getattr(first_enum, name, None)
            if obj_method is not None and obj_method is class_method:
                setattr(enum_class, name, enum_method)
        #
        # replace any other __new__ with our own (as long as Enum is not None,
        # anyway) -- again, this is to support pickle
        if Enum is not None:
            # if the user defined their own __new__, save it before it gets
            # clobbered in case they subclass later
            if save_new:
                enum_class.__new_member__ = __new__
            enum_class.__new__ = Enum.__new__
        #
        # py3 support for definition order (helps keep py2/py3 code in sync)
        #
        # _order_ checking is spread out into three/four steps
        # - if enum_class is a Flag:
        #   - remove any non-single-bit flags from _order_
        # - remove any aliases from _order_
        # - check that _order_ and _member_names_ match
        #
        # step 1: ensure we have a list
        if _order_ is not None:
            if isinstance(_order_, str):
                _order_ = _order_.replace(',', ' ').split()
        #
        # remove Flag structures if final class is not a Flag
        if (
                Flag is None and cls != 'Flag'
                or Flag is not None and not issubclass(enum_class, Flag)
            ):
            delattr(enum_class, '_boundary_')
            delattr(enum_class, '_flag_mask_')
            delattr(enum_class, '_all_bits_')
            delattr(enum_class, '_inverted_')
        elif Flag is not None and issubclass(enum_class, Flag):
            # ensure _all_bits_ is correct and there are no missing flags
            single_bit_total = 0
            multi_bit_total = 0
            for flag in enum_class._member_map_.values():
                flag_value = flag._value_
                if _is_single_bit(flag_value):
                    single_bit_total |= flag_value
                else:
                    # multi-bit flags are considered aliases
                    multi_bit_total |= flag_value
            enum_class._flag_mask_ = single_bit_total
            #
            # set correct __iter__
            member_list = [m._value_ for m in enum_class]
            if member_list != sorted(member_list):
                enum_class._iter_member_ = enum_class._iter_member_by_def_
            if _order_:
                # _order_ step 2: remove any items from _order_ that are not single-bit
                _order_ = [
                        o
                        for o in _order_
                        if o not in enum_class._member_map_ or _is_single_bit(enum_class[o]._value_)
                        ]
        #
        if _order_:
            # _order_ step 3: remove aliases from _order_
            _order_ = [
                    o
                    for o in _order_
                    if (
                        o not in enum_class._member_map_
                        or
                        (o in enum_class._member_map_ and o in enum_class._member_names_)
                        )]
            # _order_ step 4: verify that _order_ and _member_names_ match
            if _order_ != enum_class._member_names_:
                raise TypeError(
                        'member order does not match _order_:\n%r\n%r'
                        % (enum_class._member_names_, _order_)
                        )
        #
        return enum_class

    def __bool__(self):
        """
        classes/types should always be True.
        """
        return True

    def __call__(cls, value, names=None, *, module=None, qualname=None, type=None, start=1, boundary=None):
        """
        Either returns an existing member, or creates a new enum class.

        This method is used both when an enum class is given a value to match
        to an enumeration member (i.e. Color(3)) and for the functional API
        (i.e. Color = Enum('Color', names='RED GREEN BLUE')).

        When used for the functional API:

        `value` will be the name of the new class.

        `names` should be either a string of white-space/comma delimited names
        (values will start at `start`), or an iterator/mapping of name, value pairs.

        `module` should be set to the module this class is being created in;
        if it is not set, an attempt to find that module will be made, but if
        it fails the class will not be picklable.

        `qualname` should be set to the actual location this class can be found
        at in its module; by default it is set to the global scope.  If this is
        not correct, unpickling will fail in some circumstances.

        `type`, if set, will be mixed in as the first base class.
        """
        if names is None:  # simple value lookup
            return cls.__new__(cls, value)
        # otherwise, functional API: we're creating a new Enum type
        return cls._create_(
                value,
                names,
                module=module,
                qualname=qualname,
                type=type,
                start=start,
                boundary=boundary,
                )

    def __contains__(cls, member):
        if not isinstance(member, Enum):
            import warnings
            warnings.warn(
                    "in 3.12 __contains__ will no longer raise TypeError, but will return True or\n"
                    "False depending on whether the value is a member or the value of a member",
                    DeprecationWarning,
                    stacklevel=2,
                    )
            raise TypeError(
                "unsupported operand type(s) for 'in': '%s' and '%s'" % (
                    type(member).__qualname__, cls.__class__.__qualname__))
        return isinstance(member, cls) and member._name_ in cls._member_map_

    def __delattr__(cls, attr):
        # nicer error message when someone tries to delete an attribute
        # (see issue19025).
        if attr in cls._member_map_:
            raise AttributeError("%s: cannot delete Enum member %r." % (cls.__name__, attr))
        super().__delattr__(attr)

    def __dir__(self):
        return (
                ['__class__', '__doc__', '__members__', '__module__']
                + self._member_names_
                )

    def __getattr__(cls, name):
        """
        Return the enum member matching `name`

        We use __getattr__ instead of descriptors or inserting into the enum
        class' __dict__ in order to support `name` and `value` being both
        properties for enum members (which live in the class' __dict__) and
        enum members themselves.
        """
        if _is_dunder(name):
            raise AttributeError(name)
        try:
            return cls._member_map_[name]
        except KeyError:
            raise AttributeError(name) from None

    def __getitem__(cls, name):
        return cls._member_map_[name]

    def __iter__(cls):
        """
        Returns members in definition order.
        """
        return (cls._member_map_[name] for name in cls._member_names_)

    def __len__(cls):
        return len(cls._member_names_)

    @_bltin_property
    def __members__(cls):
        """
        Returns a mapping of member name->value.

        This mapping lists all enum members, including aliases. Note that this
        is a read-only view of the internal mapping.
        """
        return MappingProxyType(cls._member_map_)

    def __repr__(cls):
        if Flag is not None and issubclass(cls, Flag):
            return "<flag %r>" % cls.__name__
        else:
            return "<enum %r>" % cls.__name__

    def __reversed__(cls):
        """
        Returns members in reverse definition order.
        """
        return (cls._member_map_[name] for name in reversed(cls._member_names_))

    def __setattr__(cls, name, value):
        """
        Block attempts to reassign Enum members.

        A simple assignment to the class namespace only changes one of the
        several possible ways to get an Enum member from the Enum class,
        resulting in an inconsistent Enumeration.
        """
        member_map = cls.__dict__.get('_member_map_', {})
        if name in member_map:
            raise AttributeError('Cannot reassign member %r.' % (name, ))
        super().__setattr__(name, value)

    def _create_(cls, class_name, names, *, module=None, qualname=None, type=None, start=1, boundary=None):
        """
        Convenience method to create a new Enum class.

        `names` can be:

        * A string containing member names, separated either with spaces or
          commas.  Values are incremented by 1 from `start`.
        * An iterable of member names.  Values are incremented by 1 from `start`.
        * An iterable of (member name, value) pairs.
        * A mapping of member name -> value pairs.
        """
        metacls = cls.__class__
        bases = (cls, ) if type is None else (type, cls)
        _, first_enum = cls._get_mixins_(cls, bases)
        classdict = metacls.__prepare__(class_name, bases)

        # special processing needed for names?
        if isinstance(names, str):
            names = names.replace(',', ' ').split()
        if isinstance(names, (tuple, list)) and names and isinstance(names[0], str):
            original_names, names = names, []
            last_values = []
            for count, name in enumerate(original_names):
                value = first_enum._generate_next_value_(name, start, count, last_values[:])
                last_values.append(value)
                names.append((name, value))

        # Here, names is either an iterable of (name, value) or a mapping.
        for item in names:
            if isinstance(item, str):
                member_name, member_value = item, names[item]
            else:
                member_name, member_value = item
            classdict[member_name] = member_value

        # TODO: replace the frame hack if a blessed way to know the calling
        # module is ever developed
        if module is None:
            try:
                module = sys._getframe(2).f_globals['__name__']
            except (AttributeError, ValueError, KeyError):
                pass
        if module is None:
            _make_class_unpicklable(classdict)
        else:
            classdict['__module__'] = module
        if qualname is not None:
            classdict['__qualname__'] = qualname

        return metacls.__new__(metacls, class_name, bases, classdict, boundary=boundary)

    def _convert_(cls, name, module, filter, source=None, *, boundary=None):

        """
        Create a new Enum subclass that replaces a collection of global constants
        """
        # convert all constants from source (or module) that pass filter() to
        # a new Enum called name, and export the enum and its members back to
        # module;
        # also, replace the __reduce_ex__ method so unpickling works in
        # previous Python versions
        module_globals = sys.modules[module].__dict__
        if source:
            source = source.__dict__
        else:
            source = module_globals
        # _value2member_map_ is populated in the same order every time
        # for a consistent reverse mapping of number to name when there
        # are multiple names for the same number.
        members = [
                (name, value)
                for name, value in source.items()
                if filter(name)]
        try:
            # sort by value
            members.sort(key=lambda t: (t[1], t[0]))
        except TypeError:
            # unless some values aren't comparable, in which case sort by name
            members.sort(key=lambda t: t[0])
        body = {t[0]: t[1] for t in members}
        body['__module__'] = module
        tmp_cls = type(name, (object, ), body)
        cls = _simple_enum(etype=cls, boundary=boundary or KEEP)(tmp_cls)
        cls.__reduce_ex__ = _reduce_ex_by_global_name
        global_enum(cls)
        module_globals[name] = cls
        return cls

    @staticmethod
    def _check_for_existing_members(class_name, bases):
        for chain in bases:
            for base in chain.__mro__:
                if issubclass(base, Enum) and base._member_names_:
                    raise TypeError(
                            "%s: cannot extend enumeration %r"
                            % (class_name, base.__name__)
                            )

    @staticmethod
    def _get_mixins_(class_name, bases):
        """
        Returns the type for creating enum members, and the first inherited
        enum class.

        bases: the tuple of bases that was given to __new__
        """
        if not bases:
            return object, Enum

        def _find_data_type(bases):
            data_types = set()
            for chain in bases:
                candidate = None
                for base in chain.__mro__:
                    if base is object:
                        continue
                    elif issubclass(base, Enum):
                        if base._member_type_ is not object:
                            data_types.add(base._member_type_)
                            break
                    elif '__new__' in base.__dict__:
                        if issubclass(base, Enum):
                            continue
                        data_types.add(candidate or base)
                        break
                    else:
                        candidate = candidate or base
            if len(data_types) > 1:
                raise TypeError('%r: too many data types: %r' % (class_name, data_types))
            elif data_types:
                return data_types.pop()
            else:
                return None

        # ensure final parent class is an Enum derivative, find any concrete
        # data type, and check that Enum has no members
        first_enum = bases[-1]
        if not issubclass(first_enum, Enum):
            raise TypeError("new enumerations should be created as "
                    "`EnumName([mixin_type, ...] [data_type,] enum_type)`")
        member_type = _find_data_type(bases) or object
        if first_enum._member_names_:
            raise TypeError("Cannot extend enumerations")
        return member_type, first_enum

    @staticmethod
    def _find_new_(classdict, member_type, first_enum):
        """
        Returns the __new__ to be used for creating the enum members.

        classdict: the class dictionary given to __new__
        member_type: the data type whose __new__ will be used by default
        first_enum: enumeration to check for an overriding __new__
        """
        # now find the correct __new__, checking to see of one was defined
        # by the user; also check earlier enum classes in case a __new__ was
        # saved as __new_member__
        __new__ = classdict.get('__new__', None)

        # should __new__ be saved as __new_member__ later?
        save_new = first_enum is not None and __new__ is not None

        if __new__ is None:
            # check all possibles for __new_member__ before falling back to
            # __new__
            for method in ('__new_member__', '__new__'):
                for possible in (member_type, first_enum):
                    target = getattr(possible, method, None)
                    if target not in {
                            None,
                            None.__new__,
                            object.__new__,
                            Enum.__new__,
                            }:
                        __new__ = target
                        break
                if __new__ is not None:
                    break
            else:
                __new__ = object.__new__

        # if a non-object.__new__ is used then whatever value/tuple was
        # assigned to the enum member name will be passed to __new__ and to the
        # new enum member's __init__
        if first_enum is None or __new__ in (Enum.__new__, object.__new__):
            use_args = False
        else:
            use_args = True
        return __new__, save_new, use_args
EnumMeta = EnumType


class Enum(metaclass=EnumType):
    """
    Generic enumeration.

    Derive from this class to define new enumerations.
    """

    def __new__(cls, value):
        # all enum instances are actually created during class construction
        # without calling this method; this method is called by the metaclass'
        # __call__ (i.e. Color(3) ), and by pickle
        if type(value) is cls:
            # For lookups like Color(Color.RED)
            return value
        # by-value search for a matching enum member
        # see if it's in the reverse mapping (for hashable values)
        try:
            return cls._value2member_map_[value]
        except KeyError:
            # Not found, no need to do long O(n) search
            pass
        except TypeError:
            # not there, now do long search -- O(n) behavior
            for member in cls._member_map_.values():
                if member._value_ == value:
                    return member
        # still not found -- try _missing_ hook
        try:
            exc = None
            result = cls._missing_(value)
        except Exception as e:
            exc = e
            result = None
        try:
            if isinstance(result, cls):
                return result
            elif (
                    Flag is not None and issubclass(cls, Flag)
                    and cls._boundary_ is EJECT and isinstance(result, int)
                ):
                return result
            else:
                ve_exc = ValueError("%r is not a valid %s" % (value, cls.__qualname__))
                if result is None and exc is None:
                    raise ve_exc
                elif exc is None:
                    exc = TypeError(
                            'error in %s._missing_: returned %r instead of None or a valid member'
                            % (cls.__name__, result)
                            )
                if not isinstance(exc, ValueError):
                    exc.__context__ = ve_exc
                raise exc
        finally:
            # ensure all variables that could hold an exception are destroyed
            exc = None
            ve_exc = None

    def _generate_next_value_(name, start, count, last_values):
        """
        Generate the next value when not given.

        name: the name of the member
        start: the initial start value or None
        count: the number of existing members
        last_value: the last value assigned or None
        """
        for last_value in reversed(last_values):
            try:
                return last_value + 1
            except TypeError:
                pass
        else:
            return start

    @classmethod
    def _missing_(cls, value):
        return None

    def __repr__(self):
        return "%s.%s" % ( self.__class__.__name__, self._name_)

    def __str__(self):
        return "%s" % (self._name_, )

    def __dir__(self):
        """
        Returns all members and all public methods
        """
        added_behavior = [
                m
                for cls in self.__class__.mro()
                for m in cls.__dict__
                if m[0] != '_' and m not in self._member_map_
                ] + [m for m in self.__dict__ if m[0] != '_']
        return (['__class__', '__doc__', '__module__'] + added_behavior)

    def __format__(self, format_spec):
        """
        Returns format using actual value type unless __str__ has been overridden.
        """
        # mixed-in Enums should use the mixed-in type's __format__, otherwise
        # we can get strange results with the Enum name showing up instead of
        # the value
        #
        # pure Enum branch, or branch with __str__ explicitly overridden
        str_overridden = type(self).__str__ not in (Enum.__str__, IntEnum.__str__, Flag.__str__)
        if self._member_type_ is object or str_overridden:
            cls = str
            val = str(self)
        # mix-in branch
        else:
            if not format_spec or format_spec in ('{}','{:}'):
                import warnings
                warnings.warn(
                        "in 3.12 format() will use the enum member, not the enum member's value;\n"
                        "use a format specifier, such as :d for an integer-based Enum, to maintain "
                        "the current display",
                        DeprecationWarning,
                        stacklevel=2,
                        )
            cls = self._member_type_
            val = self._value_
        return cls.__format__(val, format_spec)

    def __hash__(self):
        return hash(self._name_)

    def __reduce_ex__(self, proto):
        return getattr, (self.__class__, self._name_)

    # enum.property is used to provide access to the `name` and
    # `value` attributes of enum members while keeping some measure of
    # protection from modification, while still allowing for an enumeration
    # to have members named `name` and `value`.  This works because enumeration
    # members are not set directly on the enum class; they are kept in a
    # separate structure, _member_map_, which is where enum.property looks for
    # them

    @property
    def name(self):
        """The name of the Enum member."""
        return self._name_

    @property
    def value(self):
        """The value of the Enum member."""
        return self._value_


class IntEnum(int, Enum):
    """
    Enum where members are also (and must be) ints
    """

    def __str__(self):
        return "%s" % (self._name_, )

    def __format__(self, format_spec):
        """
        Returns format using actual value unless __str__ has been overridden.
        """
        str_overridden = type(self).__str__ != IntEnum.__str__
        if str_overridden:
            cls = str
            val = str(self)
        else:
            cls = self._member_type_
            val = self._value_
        return cls.__format__(val, format_spec)


class StrEnum(str, Enum):
    """
    Enum where members are also (and must be) strings
    """

    def __new__(cls, *values):
        if len(values) > 3:
            raise TypeError('too many arguments for str(): %r' % (values, ))
        if len(values) == 1:
            # it must be a string
            if not isinstance(values[0], str):
                raise TypeError('%r is not a string' % (values[0], ))
        if len(values) >= 2:
            # check that encoding argument is a string
            if not isinstance(values[1], str):
                raise TypeError('encoding must be a string, not %r' % (values[1], ))
        if len(values) == 3:
            # check that errors argument is a string
            if not isinstance(values[2], str):
                raise TypeError('errors must be a string, not %r' % (values[2]))
        value = str(*values)
        member = str.__new__(cls, value)
        member._value_ = value
        return member

    __str__ = str.__str__

    __format__ = str.__format__

    def _generate_next_value_(name, start, count, last_values):
        """
        Return the lower-cased version of the member name.
        """
        return name.lower()


def _reduce_ex_by_global_name(self, proto):
    return self.name

class FlagBoundary(StrEnum):
    """
    control how out of range values are handled
    "strict" -> error is raised  [default for Flag]
    "conform" -> extra bits are discarded
    "eject" -> lose flag status [default for IntFlag]
    "keep" -> keep flag status and all bits
    """
    STRICT = auto()
    CONFORM = auto()
    EJECT = auto()
    KEEP = auto()
STRICT, CONFORM, EJECT, KEEP = FlagBoundary


class Flag(Enum, boundary=STRICT):
    """
    Support for flags
    """

    def _generate_next_value_(name, start, count, last_values):
        """
        Generate the next value when not given.

        name: the name of the member
        start: the initial start value or None
        count: the number of existing members
        last_value: the last value assigned or None
        """
        if not count:
            return start if start is not None else 1
        last_value = max(last_values)
        try:
            high_bit = _high_bit(last_value)
        except Exception:
            raise TypeError('Invalid Flag value: %r' % last_value) from None
        return 2 ** (high_bit+1)

    @classmethod
    def _iter_member_by_value_(cls, value):
        """
        Extract all members from the value in definition (i.e. increasing value) order.
        """
        for val in _iter_bits_lsb(value & cls._flag_mask_):
            yield cls._value2member_map_.get(val)

    _iter_member_ = _iter_member_by_value_

    @classmethod
    def _iter_member_by_def_(cls, value):
        """
        Extract all members from the value in definition order.
        """
        yield from sorted(
                cls._iter_member_by_value_(value),
                key=lambda m: m._sort_order_,
                )

    @classmethod
    def _missing_(cls, value):
        """
        Create a composite member containing all canonical members present in `value`.

        If non-member values are present, result depends on `_boundary_` setting.
        """
        if not isinstance(value, int):
            raise ValueError(
                    "%r is not a valid %s" % (value, cls.__qualname__)
                    )
        # check boundaries
        # - value must be in range (e.g. -16 <-> +15, i.e. ~15 <-> 15)
        # - value must not include any skipped flags (e.g. if bit 2 is not
        #   defined, then 0d10 is invalid)
        flag_mask = cls._flag_mask_
        all_bits = cls._all_bits_
        neg_value = None
        if (
                not ~all_bits <= value <= all_bits
                or value & (all_bits ^ flag_mask)
            ):
            if cls._boundary_ is STRICT:
                max_bits = max(value.bit_length(), flag_mask.bit_length())
                raise ValueError(
                        "%s: invalid value: %r\n    given %s\n  allowed %s" % (
                            cls.__name__, value, bin(value, max_bits), bin(flag_mask, max_bits),
                            ))
            elif cls._boundary_ is CONFORM:
                value = value & flag_mask
            elif cls._boundary_ is EJECT:
                return value
            elif cls._boundary_ is KEEP:
                if value < 0:
                    value = (
                            max(all_bits+1, 2**(value.bit_length()))
                            + value
                            )
            else:
                raise ValueError(
                        'unknown flag boundary: %r' % (cls._boundary_, )
                        )
        if value < 0:
            neg_value = value
            value = all_bits + 1 + value
        # get members and unknown
        unknown = value & ~flag_mask
        member_value = value & flag_mask
        if unknown and cls._boundary_ is not KEEP:
            raise ValueError(
                    '%s(%r) -->  unknown values %r [%s]'
                    % (cls.__name__, value, unknown, bin(unknown))
                    )
        # normal Flag?
        __new__ = getattr(cls, '__new_member__', None)
        if cls._member_type_ is object and not __new__:
            # construct a singleton enum pseudo-member
            pseudo_member = object.__new__(cls)
        else:
            pseudo_member = (__new__ or cls._member_type_.__new__)(cls, value)
        if not hasattr(pseudo_member, '_value_'):
            pseudo_member._value_ = value
        if member_value:
            pseudo_member._name_ = '|'.join([
                m._name_ for m in cls._iter_member_(member_value)
                ])
            if unknown:
                pseudo_member._name_ += '|0x%x' % unknown
        else:
            pseudo_member._name_ = None
        # use setdefault in case another thread already created a composite
        # with this value, but only if all members are known
        # note: zero is a special case -- add it
        if not unknown:
            pseudo_member = cls._value2member_map_.setdefault(value, pseudo_member)
            if neg_value is not None:
                cls._value2member_map_[neg_value] = pseudo_member
        return pseudo_member

    def __contains__(self, other):
        """
        Returns True if self has at least the same flags set as other.
        """
        if not isinstance(other, self.__class__):
            raise TypeError(
                "unsupported operand type(s) for 'in': '%s' and '%s'" % (
                    type(other).__qualname__, self.__class__.__qualname__))
        if other._value_ == 0 or self._value_ == 0:
            return False
        return other._value_ & self._value_ == other._value_

    def __iter__(self):
        """
        Returns flags in definition order.
        """
        yield from self._iter_member_(self._value_)

    def __len__(self):
        return self._value_.bit_count()

    def __repr__(self):
        cls_name = self.__class__.__name__
        if self._name_ is None:
            return "0x%x" % (self._value_, )
        if _is_single_bit(self._value_):
            return '%s.%s' % (cls_name, self._name_)
        if self._boundary_ is not FlagBoundary.KEEP:
            return '%s.' % cls_name + ('|%s.' % cls_name).join(self.name.split('|'))
        else:
            name = []
            for n in self._name_.split('|'):
                if n.startswith('0'):
                    name.append(n)
                else:
                    name.append('%s.%s' % (cls_name, n))
            return '|'.join(name)

    def __str__(self):
        cls = self.__class__
        if self._name_ is None:
            return '%s(%x)' % (cls.__name__, self._value_)
        else:
            return self._name_

    def __bool__(self):
        return bool(self._value_)

    def __or__(self, other):
        if not isinstance(other, self.__class__):
            return NotImplemented
        return self.__class__(self._value_ | other._value_)

    def __and__(self, other):
        if not isinstance(other, self.__class__):
            return NotImplemented
        return self.__class__(self._value_ & other._value_)

    def __xor__(self, other):
        if not isinstance(other, self.__class__):
            return NotImplemented
        return self.__class__(self._value_ ^ other._value_)

    def __invert__(self):
        if self._inverted_ is None:
            if self._boundary_ is KEEP:
                # use all bits
                self._inverted_ = self.__class__(~self._value_)
            else:
                # calculate flags not in this member
                self._inverted_ = self.__class__(self._flag_mask_ ^ self._value_)
            if isinstance(self._inverted_, self.__class__):
                self._inverted_._inverted_ = self
        return self._inverted_


class IntFlag(int, Flag, boundary=EJECT):
    """
    Support for integer-based Flags
    """

    def __format__(self, format_spec):
        """
        Returns format using actual value unless __str__ has been overridden.
        """
        str_overridden = type(self).__str__ != Flag.__str__
        value = self
        if not str_overridden:
            value = self._value_
        return int.__format__(value, format_spec)

    def __or__(self, other):
        if isinstance(other, self.__class__):
            other = other._value_
        elif isinstance(other, int):
            other = other
        else:
            return NotImplemented
        value = self._value_
        return self.__class__(value | other)

    def __and__(self, other):
        if isinstance(other, self.__class__):
            other = other._value_
        elif isinstance(other, int):
            other = other
        else:
            return NotImplemented
        value = self._value_
        return self.__class__(value & other)

    def __xor__(self, other):
        if isinstance(other, self.__class__):
            other = other._value_
        elif isinstance(other, int):
            other = other
        else:
            return NotImplemented
        value = self._value_
        return self.__class__(value ^ other)

    __ror__ = __or__
    __rand__ = __and__
    __rxor__ = __xor__
    __invert__ = Flag.__invert__

def _high_bit(value):
    """
    returns index of highest bit, or -1 if value is zero or negative
    """
    return value.bit_length() - 1

def unique(enumeration):
    """
    Class decorator for enumerations ensuring unique member values.
    """
    duplicates = []
    for name, member in enumeration.__members__.items():
        if name != member.name:
            duplicates.append((name, member.name))
    if duplicates:
        alias_details = ', '.join(
                ["%s -> %s" % (alias, name) for (alias, name) in duplicates])
        raise ValueError('duplicate values found in %r: %s' %
                (enumeration, alias_details))
    return enumeration

def _power_of_two(value):
    if value < 1:
        return False
    return value == 2 ** _high_bit(value)

def global_enum_repr(self):
    """
    use module.enum_name instead of class.enum_name

    the module is the last module in case of a multi-module name
    """
    module = self.__class__.__module__.split('.')[-1]
    return '%s.%s' % (module, self._name_)

def global_flag_repr(self):
    """
    use module.flag_name instead of class.flag_name

    the module is the last module in case of a multi-module name
    """
    module = self.__class__.__module__.split('.')[-1]
    cls_name = self.__class__.__name__
    if self._name_ is None:
        return "%s.%s(0x%x)" % (module, cls_name, self._value_)
    if _is_single_bit(self):
        return '%s.%s' % (module, self._name_)
    if self._boundary_ is not FlagBoundary.KEEP:
        return '|'.join(['%s.%s' % (module, name) for name in self.name.split('|')])
    else:
        name = []
        for n in self._name_.split('|'):
            if n.startswith('0'):
                name.append(n)
            else:
                name.append('%s.%s' % (module, n))
        return '|'.join(name)


def global_enum(cls):
    """
    decorator that makes the repr() of an enum member reference its module
    instead of its class; also exports all members to the enum's module's
    global namespace
    """
    if issubclass(cls, Flag):
        cls.__repr__ = global_flag_repr
    else:
        cls.__repr__ = global_enum_repr
    sys.modules[cls.__module__].__dict__.update(cls.__members__)
    return cls

def _simple_enum(etype=Enum, *, boundary=None, use_args=None):
    """
    Class decorator that converts a normal class into an :class:`Enum`.  No
    safety checks are done, and some advanced behavior (such as
    :func:`__init_subclass__`) is not available.  Enum creation can be faster
    using :func:`simple_enum`.

        >>> from enum import Enum, _simple_enum
        >>> @_simple_enum(Enum)
        ... class Color:
        ...     RED = auto()
        ...     GREEN = auto()
        ...     BLUE = auto()
        >>> Color
        <enum 'Color'>
    """
    def convert_class(cls):
        nonlocal use_args
        cls_name = cls.__name__
        if use_args is None:
            use_args = etype._use_args_
        __new__ = cls.__dict__.get('__new__')
        if __new__ is not None:
            new_member = __new__.__func__
        else:
            new_member = etype._member_type_.__new__
        attrs = {}
        body = {}
        if __new__ is not None:
            body['__new_member__'] = new_member
        body['_new_member_'] = new_member
        body['_use_args_'] = use_args
        body['_generate_next_value_'] = gnv = etype._generate_next_value_
        body['_member_names_'] = member_names = []
        body['_member_map_'] = member_map = {}
        body['_value2member_map_'] = value2member_map = {}
        body['_unhashable_values_'] = []
        body['_member_type_'] = member_type = etype._member_type_
        if issubclass(etype, Flag):
            body['_boundary_'] = boundary or etype._boundary_
            body['_flag_mask_'] = None
            body['_all_bits_'] = None
            body['_inverted_'] = None
        for name, obj in cls.__dict__.items():
            if name in ('__dict__', '__weakref__'):
                continue
            if _is_dunder(name) or _is_private(cls_name, name) or _is_sunder(name) or _is_descriptor(obj):
                body[name] = obj
            else:
                attrs[name] = obj
        if cls.__dict__.get('__doc__') is None:
            body['__doc__'] = 'An enumeration.'
        #
        # double check that repr and friends are not the mixin's or various
        # things break (such as pickle)
        # however, if the method is defined in the Enum itself, don't replace
        # it
        enum_class = type(cls_name, (etype, ), body, boundary=boundary, _simple=True)
        for name in ('__repr__', '__str__', '__format__', '__reduce_ex__'):
            if name in body:
                continue
            class_method = getattr(enum_class, name)
            obj_method = getattr(member_type, name, None)
            enum_method = getattr(etype, name, None)
            if obj_method is not None and obj_method is class_method:
                setattr(enum_class, name, enum_method)
        gnv_last_values = []
        if issubclass(enum_class, Flag):
            # Flag / IntFlag
            single_bits = multi_bits = 0
            for name, value in attrs.items():
                if isinstance(value, auto) and auto.value is _auto_null:
                    value = gnv(name, 1, len(member_names), gnv_last_values)
                if value in value2member_map:
                    # an alias to an existing member
                    redirect = property()
                    redirect.__set_name__(enum_class, name)
                    setattr(enum_class, name, redirect)
                    member_map[name] = value2member_map[value]
                else:
                    # create the member
                    if use_args:
                        if not isinstance(value, tuple):
                            value = (value, )
                        member = new_member(enum_class, *value)
                        value = value[0]
                    else:
                        member = new_member(enum_class)
                    if __new__ is None:
                        member._value_ = value
                    member._name_ = name
                    member.__objclass__ = enum_class
                    member.__init__(value)
                    redirect = property()
                    redirect.__set_name__(enum_class, name)
                    setattr(enum_class, name, redirect)
                    member_map[name] = member
                    member._sort_order_ = len(member_names)
                    value2member_map[value] = member
                    if _is_single_bit(value):
                        # not a multi-bit alias, record in _member_names_ and _flag_mask_
                        member_names.append(name)
                        single_bits |= value
                    else:
                        multi_bits |= value
                    gnv_last_values.append(value)
            enum_class._flag_mask_ = single_bits
            enum_class._all_bits_ = 2 ** ((single_bits|multi_bits).bit_length()) - 1
            # set correct __iter__
            member_list = [m._value_ for m in enum_class]
            if member_list != sorted(member_list):
                enum_class._iter_member_ = enum_class._iter_member_by_def_
        else:
            # Enum / IntEnum / StrEnum
            for name, value in attrs.items():
                if isinstance(value, auto):
                    if value.value is _auto_null:
                        value.value = gnv(name, 1, len(member_names), gnv_last_values)
                    value = value.value
                if value in value2member_map:
                    # an alias to an existing member
                    redirect = property()
                    redirect.__set_name__(enum_class, name)
                    setattr(enum_class, name, redirect)
                    member_map[name] = value2member_map[value]
                else:
                    # create the member
                    if use_args:
                        if not isinstance(value, tuple):
                            value = (value, )
                        member = new_member(enum_class, *value)
                        value = value[0]
                    else:
                        member = new_member(enum_class)
                    if __new__ is None:
                        member._value_ = value
                    member._name_ = name
                    member.__objclass__ = enum_class
                    member.__init__(value)
                    member._sort_order_ = len(member_names)
                    redirect = property()
                    redirect.__set_name__(enum_class, name)
                    setattr(enum_class, name, redirect)
                    member_map[name] = member
                    value2member_map[value] = member
                    member_names.append(name)
                    gnv_last_values.append(value)
        if '__new__' in body:
            enum_class.__new_member__ = enum_class.__new__
        enum_class.__new__ = Enum.__new__
        return enum_class
    return convert_class

@_simple_enum(StrEnum)
class EnumCheck:
    """
    various conditions to check an enumeration for
    """
    CONTINUOUS = "no skipped integer values"
    NAMED_FLAGS = "multi-flag aliases may not contain unnamed flags"
    UNIQUE = "one name per value"
CONTINUOUS, NAMED_FLAGS, UNIQUE = EnumCheck


class verify:
    """
    Check an enumeration for various constraints. (see EnumCheck)
    """
    def __init__(self, *checks):
        self.checks = checks
    def __call__(self, enumeration):
        checks = self.checks
        cls_name = enumeration.__name__
        if Flag is not None and issubclass(enumeration, Flag):
            enum_type = 'flag'
        elif issubclass(enumeration, Enum):
            enum_type = 'enum'
        else:
            raise TypeError("the 'verify' decorator only works with Enum and Flag")
        for check in checks:
            if check is UNIQUE:
                # check for duplicate names
                duplicates = []
                for name, member in enumeration.__members__.items():
                    if name != member.name:
                        duplicates.append((name, member.name))
                if duplicates:
                    alias_details = ', '.join(
                            ["%s -> %s" % (alias, name) for (alias, name) in duplicates])
                    raise ValueError('aliases found in %r: %s' %
                            (enumeration, alias_details))
            elif check is CONTINUOUS:
                values = set(e.value for e in enumeration)
                if len(values) < 2:
                    continue
                low, high = min(values), max(values)
                missing = []
                if enum_type == 'flag':
                    # check for powers of two
                    for i in range(_high_bit(low)+1, _high_bit(high)):
                        if 2**i not in values:
                            missing.append(2**i)
                elif enum_type == 'enum':
                    # check for powers of one
                    for i in range(low+1, high):
                        if i not in values:
                            missing.append(i)
                else:
                    raise Exception('verify: unknown type %r' % enum_type)
                if missing:
                    raise ValueError(('invalid %s %r: missing values %s' % (
                            enum_type, cls_name, ', '.join((str(m) for m in missing)))
                            )[:256])
                            # limit max length to protect against DOS attacks
            elif check is NAMED_FLAGS:
                # examine each alias and check for unnamed flags
                member_names = enumeration._member_names_
                member_values = [m.value for m in enumeration]
                missing_names = []
                missing_value = 0
                for name, alias in enumeration._member_map_.items():
                    if name in member_names:
                        # not an alias
                        continue
                    values = list(_iter_bits_lsb(alias.value))
                    missed = [v for v in values if v not in member_values]
                    if missed:
                        missing_names.append(name)
                        missing_value |= reduce(_or_, missed)
                if missing_names:
                    if len(missing_names) == 1:
                        alias = 'alias %s is missing' % missing_names[0]
                    else:
                        alias = 'aliases %s and %s are missing' % (
                                ', '.join(missing_names[:-1]), missing_names[-1]
                                )
                    if _is_single_bit(missing_value):
                        value = 'value 0x%x' % missing_value
                    else:
                        value = 'combined values of 0x%x' % missing_value
                    raise ValueError(
                            'invalid Flag %r: %s %s [use enum.show_flag_values(value) for details]'
                            % (cls_name, alias, value)
                            )
        return enumeration

def _test_simple_enum(checked_enum, simple_enum):
    """
    A function that can be used to test an enum created with :func:`_simple_enum`
    against the version created by subclassing :class:`Enum`::

        >>> from enum import Enum, _simple_enum, _test_simple_enum
        >>> @_simple_enum(Enum)
        ... class Color:
        ...     RED = auto()
        ...     GREEN = auto()
        ...     BLUE = auto()
        >>> class CheckedColor(Enum):
        ...     RED = auto()
        ...     GREEN = auto()
        ...     BLUE = auto()
        >>> _test_simple_enum(CheckedColor, Color)

    If differences are found, a :exc:`TypeError` is raised.
    """
    failed = []
    if checked_enum.__dict__ != simple_enum.__dict__:
        checked_dict = checked_enum.__dict__
        checked_keys = list(checked_dict.keys())
        simple_dict = simple_enum.__dict__
        simple_keys = list(simple_dict.keys())
        member_names = set(
                list(checked_enum._member_map_.keys())
                + list(simple_enum._member_map_.keys())
                )
        for key in set(checked_keys + simple_keys):
            if key in ('__module__', '_member_map_', '_value2member_map_'):
                # keys known to be different
                continue
            elif key in member_names:
                # members are checked below
                continue
            elif key not in simple_keys:
                failed.append("missing key: %r" % (key, ))
            elif key not in checked_keys:
                failed.append("extra key:   %r" % (key, ))
            else:
                checked_value = checked_dict[key]
                simple_value = simple_dict[key]
                if callable(checked_value):
                    continue
                if key == '__doc__':
                    # remove all spaces/tabs
                    compressed_checked_value = checked_value.replace(' ','').replace('\t','')
                    compressed_simple_value = simple_value.replace(' ','').replace('\t','')
                    if compressed_checked_value != compressed_simple_value:
                        failed.append("%r:\n         %s\n         %s" % (
                                key,
                                "checked -> %r" % (checked_value, ),
                                "simple  -> %r" % (simple_value, ),
                                ))
                elif checked_value != simple_value:
                    failed.append("%r:\n         %s\n         %s" % (
                            key,
                            "checked -> %r" % (checked_value, ),
                            "simple  -> %r" % (simple_value, ),
                            ))
        failed.sort()
        for name in member_names:
            failed_member = []
            if name not in simple_keys:
                failed.append('missing member from simple enum: %r' % name)
            elif name not in checked_keys:
                failed.append('extra member in simple enum: %r' % name)
            else:
                checked_member_dict = checked_enum[name].__dict__
                checked_member_keys = list(checked_member_dict.keys())
                simple_member_dict = simple_enum[name].__dict__
                simple_member_keys = list(simple_member_dict.keys())
                for key in set(checked_member_keys + simple_member_keys):
                    if key in ('__module__', '__objclass__', '_inverted_'):
                        # keys known to be different or absent
                        continue
                    elif key not in simple_member_keys:
                        failed_member.append("missing key %r not in the simple enum member %r" % (key, name))
                    elif key not in checked_member_keys:
                        failed_member.append("extra key %r in simple enum member %r" % (key, name))
                    else:
                        checked_value = checked_member_dict[key]
                        simple_value = simple_member_dict[key]
                        if checked_value != simple_value:
                            failed_member.append("%r:\n         %s\n         %s" % (
                                    key,
                                    "checked member -> %r" % (checked_value, ),
                                    "simple member  -> %r" % (simple_value, ),
                                    ))
            if failed_member:
                failed.append('%r member mismatch:\n      %s' % (
                        name, '\n      '.join(failed_member),
                        ))
        for method in (
                '__str__', '__repr__', '__reduce_ex__', '__format__',
                '__getnewargs_ex__', '__getnewargs__', '__reduce_ex__', '__reduce__'
            ):
            if method in simple_keys and method in checked_keys:
                # cannot compare functions, and it exists in both, so we're good
                continue
            elif method not in simple_keys and method not in checked_keys:
                # method is inherited -- check it out
                checked_method = getattr(checked_enum, method, None)
                simple_method = getattr(simple_enum, method, None)
                if hasattr(checked_method, '__func__'):
                    checked_method = checked_method.__func__
                    simple_method = simple_method.__func__
                if checked_method != simple_method:
                    failed.append("%r:  %-30s %s" % (
                            method,
                            "checked -> %r" % (checked_method, ),
                            "simple -> %r" % (simple_method, ),
                            ))
            else:
                # if the method existed in only one of the enums, it will have been caught
                # in the first checks above
                pass
    if failed:
        raise TypeError('enum mismatch:\n   %s' % '\n   '.join(failed))

def _old_convert_(etype, name, module, filter, source=None, *, boundary=None):
    """
    Create a new Enum subclass that replaces a collection of global constants
    """
    # convert all constants from source (or module) that pass filter() to
    # a new Enum called name, and export the enum and its members back to
    # module;
    # also, replace the __reduce_ex__ method so unpickling works in
    # previous Python versions
    module_globals = sys.modules[module].__dict__
    if source:
        source = source.__dict__
    else:
        source = module_globals
    # _value2member_map_ is populated in the same order every time
    # for a consistent reverse mapping of number to name when there
    # are multiple names for the same number.
    members = [
            (name, value)
            for name, value in source.items()
            if filter(name)]
    try:
        # sort by value
        members.sort(key=lambda t: (t[1], t[0]))
    except TypeError:
        # unless some values aren't comparable, in which case sort by name
        members.sort(key=lambda t: t[0])
    cls = etype(name, members, module=module, boundary=boundary or KEEP)
    cls.__reduce_ex__ = _reduce_ex_by_global_name
    cls.__repr__ = global_enum_repr
    return cls