From 0b5b904274728d12083a017d8545d872ffac1377 Mon Sep 17 00:00:00 2001 From: "github-actions[bot]" Date: Fri, 13 Dec 2024 15:18:16 +0000 Subject: [PATCH] Update generated HTML files [skip ci] --- .../linop-18_01.png | Bin 11304 -> 11304 bytes .../linop-9_00.hires.png | Bin 19977 -> 19977 bytes .../util-1.hires.png | Bin 126958 -> 126958 bytes .../linop-5.pdf | Bin 12561 -> 12561 bytes .../linop-6.hires.png | Bin 47675 -> 47675 bytes .../opt-solver-1.png | Bin 17232 -> 17232 bytes .../linop-8_01.png | Bin 11297 -> 11297 bytes .../linop-16_01.png | Bin 10548 -> 10548 bytes .../linop-16_01.pdf | Bin 22006 -> 22006 bytes .../linop-14.png | Bin 64108 -> 64108 bytes .../opt-solver-2.png | Bin 17384 -> 17384 bytes .../linop-7_00.pdf | Bin 58677 -> 58677 bytes .../linop-18_01.hires.png | Bin 31192 -> 31192 bytes .../linop-18_02.pdf | Bin 21402 -> 21402 bytes .../linop-17_01.pdf | Bin 22274 -> 22274 bytes .../linop-11.png | Bin 35292 -> 35292 bytes .../linop-10.png | Bin 99108 -> 99108 bytes 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| Bin 37369 -> 37369 bytes plot_directive/api/operator/linop-8_00.pdf | Bin 27056 -> 27056 bytes plot_directive/api/operator/linop-8_00.png | Bin 16298 -> 16298 bytes .../api/operator/linop-8_01.hires.png | Bin 32826 -> 32826 bytes plot_directive/api/operator/linop-8_01.pdf | Bin 12811 -> 12811 bytes plot_directive/api/operator/linop-8_01.png | Bin 11297 -> 11297 bytes .../api/operator/linop-9_00.hires.png | Bin 19977 -> 19977 bytes plot_directive/api/operator/linop-9_00.pdf | Bin 13185 -> 13185 bytes plot_directive/api/operator/linop-9_00.png | Bin 7763 -> 7763 bytes .../api/operator/linop-9_01.hires.png | Bin 15257 -> 15257 bytes plot_directive/api/operator/linop-9_01.pdf | Bin 12653 -> 12653 bytes plot_directive/api/operator/linop-9_01.png | Bin 5738 -> 5738 bytes .../api/operator/linop-9_02.hires.png | Bin 15243 -> 15243 bytes plot_directive/api/operator/linop-9_02.pdf | Bin 12597 -> 12597 bytes plot_directive/api/operator/linop-9_02.png | Bin 5749 -> 5749 bytes 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b/_images/util-2.png index 2c6f6a66f35494cb35821021b9e9f2f228562161..75f358c700b329e178f9495479902551c79be74e 100644 GIT binary patch delta 46 zcmdn~mSy`}mI)qmCOQfkB_##LR{Hw6i6sR&`6W4-NqYH3>H2aL?qxKlZB1hgGy?#z CbrJ0V delta 46 zcmdn~mSy`}mI)qm#yScaB_##LR{Hw6i6sR&`6W4-NqYH3>H5clm-;oPZB1hgGy?## CRT2aM diff --git a/_modules/typing.html b/_modules/typing.html index 032504bc..66dd793f 100644 --- a/_modules/typing.html +++ b/_modules/typing.html @@ -2282,1678 +2282,1679 @@

Source code for typing

 1815_PROTO_ALLOWLIST = {
 1816    'collections.abc': [
 1817        'Callable', 'Awaitable', 'Iterable', 'Iterator', 'AsyncIterable',
-1818        'Hashable', 'Sized', 'Container', 'Collection', 'Reversible', 'Buffer',
-1819    ],
-1820    'contextlib': ['AbstractContextManager', 'AbstractAsyncContextManager'],
-1821}
-1822
+1818        'AsyncIterator', 'Hashable', 'Sized', 'Container', 'Collection',
+1819        'Reversible', 'Buffer',
+1820    ],
+1821    'contextlib': ['AbstractContextManager', 'AbstractAsyncContextManager'],
+1822}
 1823
-1824@functools.cache
-1825def _lazy_load_getattr_static():
-1826    # Import getattr_static lazily so as not to slow down the import of typing.py
-1827    # Cache the result so we don't slow down _ProtocolMeta.__instancecheck__ unnecessarily
-1828    from inspect import getattr_static
-1829    return getattr_static
-1830
+1824
+1825@functools.cache
+1826def _lazy_load_getattr_static():
+1827    # Import getattr_static lazily so as not to slow down the import of typing.py
+1828    # Cache the result so we don't slow down _ProtocolMeta.__instancecheck__ unnecessarily
+1829    from inspect import getattr_static
+1830    return getattr_static
 1831
-1832_cleanups.append(_lazy_load_getattr_static.cache_clear)
-1833
-1834def _pickle_psargs(psargs):
-1835    return ParamSpecArgs, (psargs.__origin__,)
-1836
-1837copyreg.pickle(ParamSpecArgs, _pickle_psargs)
-1838
-1839def _pickle_pskwargs(pskwargs):
-1840    return ParamSpecKwargs, (pskwargs.__origin__,)
-1841
-1842copyreg.pickle(ParamSpecKwargs, _pickle_pskwargs)
-1843
-1844del _pickle_psargs, _pickle_pskwargs
-1845
+1832
+1833_cleanups.append(_lazy_load_getattr_static.cache_clear)
+1834
+1835def _pickle_psargs(psargs):
+1836    return ParamSpecArgs, (psargs.__origin__,)
+1837
+1838copyreg.pickle(ParamSpecArgs, _pickle_psargs)
+1839
+1840def _pickle_pskwargs(pskwargs):
+1841    return ParamSpecKwargs, (pskwargs.__origin__,)
+1842
+1843copyreg.pickle(ParamSpecKwargs, _pickle_pskwargs)
+1844
+1845del _pickle_psargs, _pickle_pskwargs
 1846
-1847class _ProtocolMeta(ABCMeta):
-1848    # This metaclass is somewhat unfortunate,
-1849    # but is necessary for several reasons...
-1850    def __new__(mcls, name, bases, namespace, /, **kwargs):
-1851        if name == "Protocol" and bases == (Generic,):
-1852            pass
-1853        elif Protocol in bases:
-1854            for base in bases:
-1855                if not (
-1856                    base in {object, Generic}
-1857                    or base.__name__ in _PROTO_ALLOWLIST.get(base.__module__, [])
-1858                    or (
-1859                        issubclass(base, Generic)
-1860                        and getattr(base, "_is_protocol", False)
-1861                    )
-1862                ):
-1863                    raise TypeError(
-1864                        f"Protocols can only inherit from other protocols, "
-1865                        f"got {base!r}"
-1866                    )
-1867        return super().__new__(mcls, name, bases, namespace, **kwargs)
-1868
-1869    def __init__(cls, *args, **kwargs):
-1870        super().__init__(*args, **kwargs)
-1871        if getattr(cls, "_is_protocol", False):
-1872            cls.__protocol_attrs__ = _get_protocol_attrs(cls)
-1873
-1874    def __subclasscheck__(cls, other):
-1875        if cls is Protocol:
-1876            return type.__subclasscheck__(cls, other)
-1877        if (
-1878            getattr(cls, '_is_protocol', False)
-1879            and not _allow_reckless_class_checks()
-1880        ):
-1881            if not isinstance(other, type):
-1882                # Same error message as for issubclass(1, int).
-1883                raise TypeError('issubclass() arg 1 must be a class')
-1884            if not getattr(cls, '_is_runtime_protocol', False):
-1885                raise TypeError(
-1886                    "Instance and class checks can only be used with "
-1887                    "@runtime_checkable protocols"
-1888                )
-1889            if (
-1890                # this attribute is set by @runtime_checkable:
-1891                cls.__non_callable_proto_members__
-1892                and cls.__dict__.get("__subclasshook__") is _proto_hook
-1893            ):
-1894                raise TypeError(
-1895                    "Protocols with non-method members don't support issubclass()"
-1896                )
-1897        return super().__subclasscheck__(other)
-1898
-1899    def __instancecheck__(cls, instance):
-1900        # We need this method for situations where attributes are
-1901        # assigned in __init__.
-1902        if cls is Protocol:
-1903            return type.__instancecheck__(cls, instance)
-1904        if not getattr(cls, "_is_protocol", False):
-1905            # i.e., it's a concrete subclass of a protocol
-1906            return super().__instancecheck__(instance)
-1907
-1908        if (
-1909            not getattr(cls, '_is_runtime_protocol', False) and
-1910            not _allow_reckless_class_checks()
-1911        ):
-1912            raise TypeError("Instance and class checks can only be used with"
-1913                            " @runtime_checkable protocols")
-1914
-1915        if super().__instancecheck__(instance):
-1916            return True
-1917
-1918        getattr_static = _lazy_load_getattr_static()
-1919        for attr in cls.__protocol_attrs__:
-1920            try:
-1921                val = getattr_static(instance, attr)
-1922            except AttributeError:
-1923                break
-1924            # this attribute is set by @runtime_checkable:
-1925            if val is None and attr not in cls.__non_callable_proto_members__:
-1926                break
-1927        else:
-1928            return True
-1929
-1930        return False
-1931
+1847
+1848class _ProtocolMeta(ABCMeta):
+1849    # This metaclass is somewhat unfortunate,
+1850    # but is necessary for several reasons...
+1851    def __new__(mcls, name, bases, namespace, /, **kwargs):
+1852        if name == "Protocol" and bases == (Generic,):
+1853            pass
+1854        elif Protocol in bases:
+1855            for base in bases:
+1856                if not (
+1857                    base in {object, Generic}
+1858                    or base.__name__ in _PROTO_ALLOWLIST.get(base.__module__, [])
+1859                    or (
+1860                        issubclass(base, Generic)
+1861                        and getattr(base, "_is_protocol", False)
+1862                    )
+1863                ):
+1864                    raise TypeError(
+1865                        f"Protocols can only inherit from other protocols, "
+1866                        f"got {base!r}"
+1867                    )
+1868        return super().__new__(mcls, name, bases, namespace, **kwargs)
+1869
+1870    def __init__(cls, *args, **kwargs):
+1871        super().__init__(*args, **kwargs)
+1872        if getattr(cls, "_is_protocol", False):
+1873            cls.__protocol_attrs__ = _get_protocol_attrs(cls)
+1874
+1875    def __subclasscheck__(cls, other):
+1876        if cls is Protocol:
+1877            return type.__subclasscheck__(cls, other)
+1878        if (
+1879            getattr(cls, '_is_protocol', False)
+1880            and not _allow_reckless_class_checks()
+1881        ):
+1882            if not isinstance(other, type):
+1883                # Same error message as for issubclass(1, int).
+1884                raise TypeError('issubclass() arg 1 must be a class')
+1885            if not getattr(cls, '_is_runtime_protocol', False):
+1886                raise TypeError(
+1887                    "Instance and class checks can only be used with "
+1888                    "@runtime_checkable protocols"
+1889                )
+1890            if (
+1891                # this attribute is set by @runtime_checkable:
+1892                cls.__non_callable_proto_members__
+1893                and cls.__dict__.get("__subclasshook__") is _proto_hook
+1894            ):
+1895                raise TypeError(
+1896                    "Protocols with non-method members don't support issubclass()"
+1897                )
+1898        return super().__subclasscheck__(other)
+1899
+1900    def __instancecheck__(cls, instance):
+1901        # We need this method for situations where attributes are
+1902        # assigned in __init__.
+1903        if cls is Protocol:
+1904            return type.__instancecheck__(cls, instance)
+1905        if not getattr(cls, "_is_protocol", False):
+1906            # i.e., it's a concrete subclass of a protocol
+1907            return super().__instancecheck__(instance)
+1908
+1909        if (
+1910            not getattr(cls, '_is_runtime_protocol', False) and
+1911            not _allow_reckless_class_checks()
+1912        ):
+1913            raise TypeError("Instance and class checks can only be used with"
+1914                            " @runtime_checkable protocols")
+1915
+1916        if super().__instancecheck__(instance):
+1917            return True
+1918
+1919        getattr_static = _lazy_load_getattr_static()
+1920        for attr in cls.__protocol_attrs__:
+1921            try:
+1922                val = getattr_static(instance, attr)
+1923            except AttributeError:
+1924                break
+1925            # this attribute is set by @runtime_checkable:
+1926            if val is None and attr not in cls.__non_callable_proto_members__:
+1927                break
+1928        else:
+1929            return True
+1930
+1931        return False
 1932
-1933@classmethod
-1934def _proto_hook(cls, other):
-1935    if not cls.__dict__.get('_is_protocol', False):
-1936        return NotImplemented
-1937
-1938    for attr in cls.__protocol_attrs__:
-1939        for base in other.__mro__:
-1940            # Check if the members appears in the class dictionary...
-1941            if attr in base.__dict__:
-1942                if base.__dict__[attr] is None:
-1943                    return NotImplemented
-1944                break
-1945
-1946            # ...or in annotations, if it is a sub-protocol.
-1947            annotations = getattr(base, '__annotations__', {})
-1948            if (isinstance(annotations, collections.abc.Mapping) and
-1949                    attr in annotations and
-1950                    issubclass(other, Generic) and getattr(other, '_is_protocol', False)):
-1951                break
-1952        else:
-1953            return NotImplemented
-1954    return True
-1955
+1933
+1934@classmethod
+1935def _proto_hook(cls, other):
+1936    if not cls.__dict__.get('_is_protocol', False):
+1937        return NotImplemented
+1938
+1939    for attr in cls.__protocol_attrs__:
+1940        for base in other.__mro__:
+1941            # Check if the members appears in the class dictionary...
+1942            if attr in base.__dict__:
+1943                if base.__dict__[attr] is None:
+1944                    return NotImplemented
+1945                break
+1946
+1947            # ...or in annotations, if it is a sub-protocol.
+1948            annotations = getattr(base, '__annotations__', {})
+1949            if (isinstance(annotations, collections.abc.Mapping) and
+1950                    attr in annotations and
+1951                    issubclass(other, Generic) and getattr(other, '_is_protocol', False)):
+1952                break
+1953        else:
+1954            return NotImplemented
+1955    return True
 1956
-1957class Protocol(Generic, metaclass=_ProtocolMeta):
-1958    """Base class for protocol classes.
-1959
-1960    Protocol classes are defined as::
-1961
-1962        class Proto(Protocol):
-1963            def meth(self) -> int:
-1964                ...
-1965
-1966    Such classes are primarily used with static type checkers that recognize
-1967    structural subtyping (static duck-typing).
-1968
-1969    For example::
-1970
-1971        class C:
-1972            def meth(self) -> int:
-1973                return 0
-1974
-1975        def func(x: Proto) -> int:
-1976            return x.meth()
-1977
-1978        func(C())  # Passes static type check
-1979
-1980    See PEP 544 for details. Protocol classes decorated with
-1981    @typing.runtime_checkable act as simple-minded runtime protocols that check
-1982    only the presence of given attributes, ignoring their type signatures.
-1983    Protocol classes can be generic, they are defined as::
-1984
-1985        class GenProto[T](Protocol):
-1986            def meth(self) -> T:
-1987                ...
-1988    """
-1989
-1990    __slots__ = ()
-1991    _is_protocol = True
-1992    _is_runtime_protocol = False
-1993
-1994    def __init_subclass__(cls, *args, **kwargs):
-1995        super().__init_subclass__(*args, **kwargs)
-1996
-1997        # Determine if this is a protocol or a concrete subclass.
-1998        if not cls.__dict__.get('_is_protocol', False):
-1999            cls._is_protocol = any(b is Protocol for b in cls.__bases__)
-2000
-2001        # Set (or override) the protocol subclass hook.
-2002        if '__subclasshook__' not in cls.__dict__:
-2003            cls.__subclasshook__ = _proto_hook
-2004
-2005        # Prohibit instantiation for protocol classes
-2006        if cls._is_protocol and cls.__init__ is Protocol.__init__:
-2007            cls.__init__ = _no_init_or_replace_init
-2008
+1957
+1958class Protocol(Generic, metaclass=_ProtocolMeta):
+1959    """Base class for protocol classes.
+1960
+1961    Protocol classes are defined as::
+1962
+1963        class Proto(Protocol):
+1964            def meth(self) -> int:
+1965                ...
+1966
+1967    Such classes are primarily used with static type checkers that recognize
+1968    structural subtyping (static duck-typing).
+1969
+1970    For example::
+1971
+1972        class C:
+1973            def meth(self) -> int:
+1974                return 0
+1975
+1976        def func(x: Proto) -> int:
+1977            return x.meth()
+1978
+1979        func(C())  # Passes static type check
+1980
+1981    See PEP 544 for details. Protocol classes decorated with
+1982    @typing.runtime_checkable act as simple-minded runtime protocols that check
+1983    only the presence of given attributes, ignoring their type signatures.
+1984    Protocol classes can be generic, they are defined as::
+1985
+1986        class GenProto[T](Protocol):
+1987            def meth(self) -> T:
+1988                ...
+1989    """
+1990
+1991    __slots__ = ()
+1992    _is_protocol = True
+1993    _is_runtime_protocol = False
+1994
+1995    def __init_subclass__(cls, *args, **kwargs):
+1996        super().__init_subclass__(*args, **kwargs)
+1997
+1998        # Determine if this is a protocol or a concrete subclass.
+1999        if not cls.__dict__.get('_is_protocol', False):
+2000            cls._is_protocol = any(b is Protocol for b in cls.__bases__)
+2001
+2002        # Set (or override) the protocol subclass hook.
+2003        if '__subclasshook__' not in cls.__dict__:
+2004            cls.__subclasshook__ = _proto_hook
+2005
+2006        # Prohibit instantiation for protocol classes
+2007        if cls._is_protocol and cls.__init__ is Protocol.__init__:
+2008            cls.__init__ = _no_init_or_replace_init
 2009
-2010class _AnnotatedAlias(_NotIterable, _GenericAlias, _root=True):
-2011    """Runtime representation of an annotated type.
-2012
-2013    At its core 'Annotated[t, dec1, dec2, ...]' is an alias for the type 't'
-2014    with extra annotations. The alias behaves like a normal typing alias.
-2015    Instantiating is the same as instantiating the underlying type; binding
-2016    it to types is also the same.
-2017
-2018    The metadata itself is stored in a '__metadata__' attribute as a tuple.
-2019    """
-2020
-2021    def __init__(self, origin, metadata):
-2022        if isinstance(origin, _AnnotatedAlias):
-2023            metadata = origin.__metadata__ + metadata
-2024            origin = origin.__origin__
-2025        super().__init__(origin, origin, name='Annotated')
-2026        self.__metadata__ = metadata
-2027
-2028    def copy_with(self, params):
-2029        assert len(params) == 1
-2030        new_type = params[0]
-2031        return _AnnotatedAlias(new_type, self.__metadata__)
-2032
-2033    def __repr__(self):
-2034        return "typing.Annotated[{}, {}]".format(
-2035            _type_repr(self.__origin__),
-2036            ", ".join(repr(a) for a in self.__metadata__)
-2037        )
-2038
-2039    def __reduce__(self):
-2040        return operator.getitem, (
-2041            Annotated, (self.__origin__,) + self.__metadata__
-2042        )
-2043
-2044    def __eq__(self, other):
-2045        if not isinstance(other, _AnnotatedAlias):
-2046            return NotImplemented
-2047        return (self.__origin__ == other.__origin__
-2048                and self.__metadata__ == other.__metadata__)
-2049
-2050    def __hash__(self):
-2051        return hash((self.__origin__, self.__metadata__))
-2052
-2053    def __getattr__(self, attr):
-2054        if attr in {'__name__', '__qualname__'}:
-2055            return 'Annotated'
-2056        return super().__getattr__(attr)
-2057
-2058    def __mro_entries__(self, bases):
-2059        return (self.__origin__,)
-2060
+2010
+2011class _AnnotatedAlias(_NotIterable, _GenericAlias, _root=True):
+2012    """Runtime representation of an annotated type.
+2013
+2014    At its core 'Annotated[t, dec1, dec2, ...]' is an alias for the type 't'
+2015    with extra annotations. The alias behaves like a normal typing alias.
+2016    Instantiating is the same as instantiating the underlying type; binding
+2017    it to types is also the same.
+2018
+2019    The metadata itself is stored in a '__metadata__' attribute as a tuple.
+2020    """
+2021
+2022    def __init__(self, origin, metadata):
+2023        if isinstance(origin, _AnnotatedAlias):
+2024            metadata = origin.__metadata__ + metadata
+2025            origin = origin.__origin__
+2026        super().__init__(origin, origin, name='Annotated')
+2027        self.__metadata__ = metadata
+2028
+2029    def copy_with(self, params):
+2030        assert len(params) == 1
+2031        new_type = params[0]
+2032        return _AnnotatedAlias(new_type, self.__metadata__)
+2033
+2034    def __repr__(self):
+2035        return "typing.Annotated[{}, {}]".format(
+2036            _type_repr(self.__origin__),
+2037            ", ".join(repr(a) for a in self.__metadata__)
+2038        )
+2039
+2040    def __reduce__(self):
+2041        return operator.getitem, (
+2042            Annotated, (self.__origin__,) + self.__metadata__
+2043        )
+2044
+2045    def __eq__(self, other):
+2046        if not isinstance(other, _AnnotatedAlias):
+2047            return NotImplemented
+2048        return (self.__origin__ == other.__origin__
+2049                and self.__metadata__ == other.__metadata__)
+2050
+2051    def __hash__(self):
+2052        return hash((self.__origin__, self.__metadata__))
+2053
+2054    def __getattr__(self, attr):
+2055        if attr in {'__name__', '__qualname__'}:
+2056            return 'Annotated'
+2057        return super().__getattr__(attr)
+2058
+2059    def __mro_entries__(self, bases):
+2060        return (self.__origin__,)
 2061
-2062class Annotated:
-2063    """Add context-specific metadata to a type.
-2064
-2065    Example: Annotated[int, runtime_check.Unsigned] indicates to the
-2066    hypothetical runtime_check module that this type is an unsigned int.
-2067    Every other consumer of this type can ignore this metadata and treat
-2068    this type as int.
-2069
-2070    The first argument to Annotated must be a valid type.
-2071
-2072    Details:
-2073
-2074    - It's an error to call `Annotated` with less than two arguments.
-2075    - Access the metadata via the ``__metadata__`` attribute::
-2076
-2077        assert Annotated[int, '$'].__metadata__ == ('$',)
-2078
-2079    - Nested Annotated types are flattened::
-2080
-2081        assert Annotated[Annotated[T, Ann1, Ann2], Ann3] == Annotated[T, Ann1, Ann2, Ann3]
-2082
-2083    - Instantiating an annotated type is equivalent to instantiating the
-2084    underlying type::
-2085
-2086        assert Annotated[C, Ann1](5) == C(5)
-2087
-2088    - Annotated can be used as a generic type alias::
-2089
-2090        type Optimized[T] = Annotated[T, runtime.Optimize()]
-2091        # type checker will treat Optimized[int]
-2092        # as equivalent to Annotated[int, runtime.Optimize()]
-2093
-2094        type OptimizedList[T] = Annotated[list[T], runtime.Optimize()]
-2095        # type checker will treat OptimizedList[int]
-2096        # as equivalent to Annotated[list[int], runtime.Optimize()]
-2097
-2098    - Annotated cannot be used with an unpacked TypeVarTuple::
-2099
-2100        type Variadic[*Ts] = Annotated[*Ts, Ann1]  # NOT valid
-2101
-2102      This would be equivalent to::
-2103
-2104        Annotated[T1, T2, T3, ..., Ann1]
-2105
-2106      where T1, T2 etc. are TypeVars, which would be invalid, because
-2107      only one type should be passed to Annotated.
-2108    """
-2109
-2110    __slots__ = ()
-2111
-2112    def __new__(cls, *args, **kwargs):
-2113        raise TypeError("Type Annotated cannot be instantiated.")
-2114
-2115    def __class_getitem__(cls, params):
-2116        if not isinstance(params, tuple):
-2117            params = (params,)
-2118        return cls._class_getitem_inner(cls, *params)
-2119
-2120    @_tp_cache(typed=True)
-2121    def _class_getitem_inner(cls, *params):
-2122        if len(params) < 2:
-2123            raise TypeError("Annotated[...] should be used "
-2124                            "with at least two arguments (a type and an "
-2125                            "annotation).")
-2126        if _is_unpacked_typevartuple(params[0]):
-2127            raise TypeError("Annotated[...] should not be used with an "
-2128                            "unpacked TypeVarTuple")
-2129        msg = "Annotated[t, ...]: t must be a type."
-2130        origin = _type_check(params[0], msg, allow_special_forms=True)
-2131        metadata = tuple(params[1:])
-2132        return _AnnotatedAlias(origin, metadata)
-2133
-2134    def __init_subclass__(cls, *args, **kwargs):
-2135        raise TypeError(
-2136            "Cannot subclass {}.Annotated".format(cls.__module__)
-2137        )
-2138
+2062
+2063class Annotated:
+2064    """Add context-specific metadata to a type.
+2065
+2066    Example: Annotated[int, runtime_check.Unsigned] indicates to the
+2067    hypothetical runtime_check module that this type is an unsigned int.
+2068    Every other consumer of this type can ignore this metadata and treat
+2069    this type as int.
+2070
+2071    The first argument to Annotated must be a valid type.
+2072
+2073    Details:
+2074
+2075    - It's an error to call `Annotated` with less than two arguments.
+2076    - Access the metadata via the ``__metadata__`` attribute::
+2077
+2078        assert Annotated[int, '$'].__metadata__ == ('$',)
+2079
+2080    - Nested Annotated types are flattened::
+2081
+2082        assert Annotated[Annotated[T, Ann1, Ann2], Ann3] == Annotated[T, Ann1, Ann2, Ann3]
+2083
+2084    - Instantiating an annotated type is equivalent to instantiating the
+2085    underlying type::
+2086
+2087        assert Annotated[C, Ann1](5) == C(5)
+2088
+2089    - Annotated can be used as a generic type alias::
+2090
+2091        type Optimized[T] = Annotated[T, runtime.Optimize()]
+2092        # type checker will treat Optimized[int]
+2093        # as equivalent to Annotated[int, runtime.Optimize()]
+2094
+2095        type OptimizedList[T] = Annotated[list[T], runtime.Optimize()]
+2096        # type checker will treat OptimizedList[int]
+2097        # as equivalent to Annotated[list[int], runtime.Optimize()]
+2098
+2099    - Annotated cannot be used with an unpacked TypeVarTuple::
+2100
+2101        type Variadic[*Ts] = Annotated[*Ts, Ann1]  # NOT valid
+2102
+2103      This would be equivalent to::
+2104
+2105        Annotated[T1, T2, T3, ..., Ann1]
+2106
+2107      where T1, T2 etc. are TypeVars, which would be invalid, because
+2108      only one type should be passed to Annotated.
+2109    """
+2110
+2111    __slots__ = ()
+2112
+2113    def __new__(cls, *args, **kwargs):
+2114        raise TypeError("Type Annotated cannot be instantiated.")
+2115
+2116    def __class_getitem__(cls, params):
+2117        if not isinstance(params, tuple):
+2118            params = (params,)
+2119        return cls._class_getitem_inner(cls, *params)
+2120
+2121    @_tp_cache(typed=True)
+2122    def _class_getitem_inner(cls, *params):
+2123        if len(params) < 2:
+2124            raise TypeError("Annotated[...] should be used "
+2125                            "with at least two arguments (a type and an "
+2126                            "annotation).")
+2127        if _is_unpacked_typevartuple(params[0]):
+2128            raise TypeError("Annotated[...] should not be used with an "
+2129                            "unpacked TypeVarTuple")
+2130        msg = "Annotated[t, ...]: t must be a type."
+2131        origin = _type_check(params[0], msg, allow_special_forms=True)
+2132        metadata = tuple(params[1:])
+2133        return _AnnotatedAlias(origin, metadata)
+2134
+2135    def __init_subclass__(cls, *args, **kwargs):
+2136        raise TypeError(
+2137            "Cannot subclass {}.Annotated".format(cls.__module__)
+2138        )
 2139
-2140def runtime_checkable(cls):
-2141    """Mark a protocol class as a runtime protocol.
-2142
-2143    Such protocol can be used with isinstance() and issubclass().
-2144    Raise TypeError if applied to a non-protocol class.
-2145    This allows a simple-minded structural check very similar to
-2146    one trick ponies in collections.abc such as Iterable.
-2147
-2148    For example::
-2149
-2150        @runtime_checkable
-2151        class Closable(Protocol):
-2152            def close(self): ...
-2153
-2154        assert isinstance(open('/some/file'), Closable)
-2155
-2156    Warning: this will check only the presence of the required methods,
-2157    not their type signatures!
-2158    """
-2159    if not issubclass(cls, Generic) or not getattr(cls, '_is_protocol', False):
-2160        raise TypeError('@runtime_checkable can be only applied to protocol classes,'
-2161                        ' got %r' % cls)
-2162    cls._is_runtime_protocol = True
-2163    # PEP 544 prohibits using issubclass()
-2164    # with protocols that have non-method members.
-2165    # See gh-113320 for why we compute this attribute here,
-2166    # rather than in `_ProtocolMeta.__init__`
-2167    cls.__non_callable_proto_members__ = set()
-2168    for attr in cls.__protocol_attrs__:
-2169        try:
-2170            is_callable = callable(getattr(cls, attr, None))
-2171        except Exception as e:
-2172            raise TypeError(
-2173                f"Failed to determine whether protocol member {attr!r} "
-2174                "is a method member"
-2175            ) from e
-2176        else:
-2177            if not is_callable:
-2178                cls.__non_callable_proto_members__.add(attr)
-2179    return cls
-2180
+2140
+2141def runtime_checkable(cls):
+2142    """Mark a protocol class as a runtime protocol.
+2143
+2144    Such protocol can be used with isinstance() and issubclass().
+2145    Raise TypeError if applied to a non-protocol class.
+2146    This allows a simple-minded structural check very similar to
+2147    one trick ponies in collections.abc such as Iterable.
+2148
+2149    For example::
+2150
+2151        @runtime_checkable
+2152        class Closable(Protocol):
+2153            def close(self): ...
+2154
+2155        assert isinstance(open('/some/file'), Closable)
+2156
+2157    Warning: this will check only the presence of the required methods,
+2158    not their type signatures!
+2159    """
+2160    if not issubclass(cls, Generic) or not getattr(cls, '_is_protocol', False):
+2161        raise TypeError('@runtime_checkable can be only applied to protocol classes,'
+2162                        ' got %r' % cls)
+2163    cls._is_runtime_protocol = True
+2164    # PEP 544 prohibits using issubclass()
+2165    # with protocols that have non-method members.
+2166    # See gh-113320 for why we compute this attribute here,
+2167    # rather than in `_ProtocolMeta.__init__`
+2168    cls.__non_callable_proto_members__ = set()
+2169    for attr in cls.__protocol_attrs__:
+2170        try:
+2171            is_callable = callable(getattr(cls, attr, None))
+2172        except Exception as e:
+2173            raise TypeError(
+2174                f"Failed to determine whether protocol member {attr!r} "
+2175                "is a method member"
+2176            ) from e
+2177        else:
+2178            if not is_callable:
+2179                cls.__non_callable_proto_members__.add(attr)
+2180    return cls
 2181
-2182def cast(typ, val):
-2183    """Cast a value to a type.
-2184
-2185    This returns the value unchanged.  To the type checker this
-2186    signals that the return value has the designated type, but at
-2187    runtime we intentionally don't check anything (we want this
-2188    to be as fast as possible).
-2189    """
-2190    return val
-2191
+2182
+2183def cast(typ, val):
+2184    """Cast a value to a type.
+2185
+2186    This returns the value unchanged.  To the type checker this
+2187    signals that the return value has the designated type, but at
+2188    runtime we intentionally don't check anything (we want this
+2189    to be as fast as possible).
+2190    """
+2191    return val
 2192
-2193def assert_type(val, typ, /):
-2194    """Ask a static type checker to confirm that the value is of the given type.
-2195
-2196    At runtime this does nothing: it returns the first argument unchanged with no
-2197    checks or side effects, no matter the actual type of the argument.
-2198
-2199    When a static type checker encounters a call to assert_type(), it
-2200    emits an error if the value is not of the specified type::
-2201
-2202        def greet(name: str) -> None:
-2203            assert_type(name, str)  # OK
-2204            assert_type(name, int)  # type checker error
-2205    """
-2206    return val
-2207
+2193
+2194def assert_type(val, typ, /):
+2195    """Ask a static type checker to confirm that the value is of the given type.
+2196
+2197    At runtime this does nothing: it returns the first argument unchanged with no
+2198    checks or side effects, no matter the actual type of the argument.
+2199
+2200    When a static type checker encounters a call to assert_type(), it
+2201    emits an error if the value is not of the specified type::
+2202
+2203        def greet(name: str) -> None:
+2204            assert_type(name, str)  # OK
+2205            assert_type(name, int)  # type checker error
+2206    """
+2207    return val
 2208
-2209_allowed_types = (types.FunctionType, types.BuiltinFunctionType,
-2210                  types.MethodType, types.ModuleType,
-2211                  WrapperDescriptorType, MethodWrapperType, MethodDescriptorType)
-2212
+2209
+2210_allowed_types = (types.FunctionType, types.BuiltinFunctionType,
+2211                  types.MethodType, types.ModuleType,
+2212                  WrapperDescriptorType, MethodWrapperType, MethodDescriptorType)
 2213
-2214def get_type_hints(obj, globalns=None, localns=None, include_extras=False):
-2215    """Return type hints for an object.
-2216
-2217    This is often the same as obj.__annotations__, but it handles
-2218    forward references encoded as string literals and recursively replaces all
-2219    'Annotated[T, ...]' with 'T' (unless 'include_extras=True').
-2220
-2221    The argument may be a module, class, method, or function. The annotations
-2222    are returned as a dictionary. For classes, annotations include also
-2223    inherited members.
-2224
-2225    TypeError is raised if the argument is not of a type that can contain
-2226    annotations, and an empty dictionary is returned if no annotations are
-2227    present.
-2228
-2229    BEWARE -- the behavior of globalns and localns is counterintuitive
-2230    (unless you are familiar with how eval() and exec() work).  The
-2231    search order is locals first, then globals.
-2232
-2233    - If no dict arguments are passed, an attempt is made to use the
-2234      globals from obj (or the respective module's globals for classes),
-2235      and these are also used as the locals.  If the object does not appear
-2236      to have globals, an empty dictionary is used.  For classes, the search
-2237      order is globals first then locals.
-2238
-2239    - If one dict argument is passed, it is used for both globals and
-2240      locals.
-2241
-2242    - If two dict arguments are passed, they specify globals and
-2243      locals, respectively.
-2244    """
-2245    if getattr(obj, '__no_type_check__', None):
-2246        return {}
-2247    # Classes require a special treatment.
-2248    if isinstance(obj, type):
-2249        hints = {}
-2250        for base in reversed(obj.__mro__):
-2251            if globalns is None:
-2252                base_globals = getattr(sys.modules.get(base.__module__, None), '__dict__', {})
-2253            else:
-2254                base_globals = globalns
-2255            ann = base.__dict__.get('__annotations__', {})
-2256            if isinstance(ann, types.GetSetDescriptorType):
-2257                ann = {}
-2258            base_locals = dict(vars(base)) if localns is None else localns
-2259            if localns is None and globalns is None:
-2260                # This is surprising, but required.  Before Python 3.10,
-2261                # get_type_hints only evaluated the globalns of
-2262                # a class.  To maintain backwards compatibility, we reverse
-2263                # the globalns and localns order so that eval() looks into
-2264                # *base_globals* first rather than *base_locals*.
-2265                # This only affects ForwardRefs.
-2266                base_globals, base_locals = base_locals, base_globals
-2267            for name, value in ann.items():
-2268                if value is None:
-2269                    value = type(None)
-2270                if isinstance(value, str):
-2271                    value = ForwardRef(value, is_argument=False, is_class=True)
-2272                value = _eval_type(value, base_globals, base_locals, base.__type_params__)
-2273                hints[name] = value
-2274        return hints if include_extras else {k: _strip_annotations(t) for k, t in hints.items()}
-2275
-2276    if globalns is None:
-2277        if isinstance(obj, types.ModuleType):
-2278            globalns = obj.__dict__
-2279        else:
-2280            nsobj = obj
-2281            # Find globalns for the unwrapped object.
-2282            while hasattr(nsobj, '__wrapped__'):
-2283                nsobj = nsobj.__wrapped__
-2284            globalns = getattr(nsobj, '__globals__', {})
-2285        if localns is None:
-2286            localns = globalns
-2287    elif localns is None:
-2288        localns = globalns
-2289    hints = getattr(obj, '__annotations__', None)
-2290    if hints is None:
-2291        # Return empty annotations for something that _could_ have them.
-2292        if isinstance(obj, _allowed_types):
-2293            return {}
-2294        else:
-2295            raise TypeError('{!r} is not a module, class, method, '
-2296                            'or function.'.format(obj))
-2297    hints = dict(hints)
-2298    type_params = getattr(obj, "__type_params__", ())
-2299    for name, value in hints.items():
-2300        if value is None:
-2301            value = type(None)
-2302        if isinstance(value, str):
-2303            # class-level forward refs were handled above, this must be either
-2304            # a module-level annotation or a function argument annotation
-2305            value = ForwardRef(
-2306                value,
-2307                is_argument=not isinstance(obj, types.ModuleType),
-2308                is_class=False,
-2309            )
-2310        hints[name] = _eval_type(value, globalns, localns, type_params)
-2311    return hints if include_extras else {k: _strip_annotations(t) for k, t in hints.items()}
-2312
+2214
+2215def get_type_hints(obj, globalns=None, localns=None, include_extras=False):
+2216    """Return type hints for an object.
+2217
+2218    This is often the same as obj.__annotations__, but it handles
+2219    forward references encoded as string literals and recursively replaces all
+2220    'Annotated[T, ...]' with 'T' (unless 'include_extras=True').
+2221
+2222    The argument may be a module, class, method, or function. The annotations
+2223    are returned as a dictionary. For classes, annotations include also
+2224    inherited members.
+2225
+2226    TypeError is raised if the argument is not of a type that can contain
+2227    annotations, and an empty dictionary is returned if no annotations are
+2228    present.
+2229
+2230    BEWARE -- the behavior of globalns and localns is counterintuitive
+2231    (unless you are familiar with how eval() and exec() work).  The
+2232    search order is locals first, then globals.
+2233
+2234    - If no dict arguments are passed, an attempt is made to use the
+2235      globals from obj (or the respective module's globals for classes),
+2236      and these are also used as the locals.  If the object does not appear
+2237      to have globals, an empty dictionary is used.  For classes, the search
+2238      order is globals first then locals.
+2239
+2240    - If one dict argument is passed, it is used for both globals and
+2241      locals.
+2242
+2243    - If two dict arguments are passed, they specify globals and
+2244      locals, respectively.
+2245    """
+2246    if getattr(obj, '__no_type_check__', None):
+2247        return {}
+2248    # Classes require a special treatment.
+2249    if isinstance(obj, type):
+2250        hints = {}
+2251        for base in reversed(obj.__mro__):
+2252            if globalns is None:
+2253                base_globals = getattr(sys.modules.get(base.__module__, None), '__dict__', {})
+2254            else:
+2255                base_globals = globalns
+2256            ann = base.__dict__.get('__annotations__', {})
+2257            if isinstance(ann, types.GetSetDescriptorType):
+2258                ann = {}
+2259            base_locals = dict(vars(base)) if localns is None else localns
+2260            if localns is None and globalns is None:
+2261                # This is surprising, but required.  Before Python 3.10,
+2262                # get_type_hints only evaluated the globalns of
+2263                # a class.  To maintain backwards compatibility, we reverse
+2264                # the globalns and localns order so that eval() looks into
+2265                # *base_globals* first rather than *base_locals*.
+2266                # This only affects ForwardRefs.
+2267                base_globals, base_locals = base_locals, base_globals
+2268            for name, value in ann.items():
+2269                if value is None:
+2270                    value = type(None)
+2271                if isinstance(value, str):
+2272                    value = ForwardRef(value, is_argument=False, is_class=True)
+2273                value = _eval_type(value, base_globals, base_locals, base.__type_params__)
+2274                hints[name] = value
+2275        return hints if include_extras else {k: _strip_annotations(t) for k, t in hints.items()}
+2276
+2277    if globalns is None:
+2278        if isinstance(obj, types.ModuleType):
+2279            globalns = obj.__dict__
+2280        else:
+2281            nsobj = obj
+2282            # Find globalns for the unwrapped object.
+2283            while hasattr(nsobj, '__wrapped__'):
+2284                nsobj = nsobj.__wrapped__
+2285            globalns = getattr(nsobj, '__globals__', {})
+2286        if localns is None:
+2287            localns = globalns
+2288    elif localns is None:
+2289        localns = globalns
+2290    hints = getattr(obj, '__annotations__', None)
+2291    if hints is None:
+2292        # Return empty annotations for something that _could_ have them.
+2293        if isinstance(obj, _allowed_types):
+2294            return {}
+2295        else:
+2296            raise TypeError('{!r} is not a module, class, method, '
+2297                            'or function.'.format(obj))
+2298    hints = dict(hints)
+2299    type_params = getattr(obj, "__type_params__", ())
+2300    for name, value in hints.items():
+2301        if value is None:
+2302            value = type(None)
+2303        if isinstance(value, str):
+2304            # class-level forward refs were handled above, this must be either
+2305            # a module-level annotation or a function argument annotation
+2306            value = ForwardRef(
+2307                value,
+2308                is_argument=not isinstance(obj, types.ModuleType),
+2309                is_class=False,
+2310            )
+2311        hints[name] = _eval_type(value, globalns, localns, type_params)
+2312    return hints if include_extras else {k: _strip_annotations(t) for k, t in hints.items()}
 2313
-2314def _strip_annotations(t):
-2315    """Strip the annotations from a given type."""
-2316    if isinstance(t, _AnnotatedAlias):
-2317        return _strip_annotations(t.__origin__)
-2318    if hasattr(t, "__origin__") and t.__origin__ in (Required, NotRequired):
-2319        return _strip_annotations(t.__args__[0])
-2320    if isinstance(t, _GenericAlias):
-2321        stripped_args = tuple(_strip_annotations(a) for a in t.__args__)
-2322        if stripped_args == t.__args__:
-2323            return t
-2324        return t.copy_with(stripped_args)
-2325    if isinstance(t, GenericAlias):
-2326        stripped_args = tuple(_strip_annotations(a) for a in t.__args__)
-2327        if stripped_args == t.__args__:
-2328            return t
-2329        return GenericAlias(t.__origin__, stripped_args)
-2330    if isinstance(t, types.UnionType):
-2331        stripped_args = tuple(_strip_annotations(a) for a in t.__args__)
-2332        if stripped_args == t.__args__:
-2333            return t
-2334        return functools.reduce(operator.or_, stripped_args)
-2335
-2336    return t
-2337
+2314
+2315def _strip_annotations(t):
+2316    """Strip the annotations from a given type."""
+2317    if isinstance(t, _AnnotatedAlias):
+2318        return _strip_annotations(t.__origin__)
+2319    if hasattr(t, "__origin__") and t.__origin__ in (Required, NotRequired):
+2320        return _strip_annotations(t.__args__[0])
+2321    if isinstance(t, _GenericAlias):
+2322        stripped_args = tuple(_strip_annotations(a) for a in t.__args__)
+2323        if stripped_args == t.__args__:
+2324            return t
+2325        return t.copy_with(stripped_args)
+2326    if isinstance(t, GenericAlias):
+2327        stripped_args = tuple(_strip_annotations(a) for a in t.__args__)
+2328        if stripped_args == t.__args__:
+2329            return t
+2330        return GenericAlias(t.__origin__, stripped_args)
+2331    if isinstance(t, types.UnionType):
+2332        stripped_args = tuple(_strip_annotations(a) for a in t.__args__)
+2333        if stripped_args == t.__args__:
+2334            return t
+2335        return functools.reduce(operator.or_, stripped_args)
+2336
+2337    return t
 2338
-2339def get_origin(tp):
-2340    """Get the unsubscripted version of a type.
-2341
-2342    This supports generic types, Callable, Tuple, Union, Literal, Final, ClassVar,
-2343    Annotated, and others. Return None for unsupported types.
-2344
-2345    Examples::
-2346
-2347        >>> P = ParamSpec('P')
-2348        >>> assert get_origin(Literal[42]) is Literal
-2349        >>> assert get_origin(int) is None
-2350        >>> assert get_origin(ClassVar[int]) is ClassVar
-2351        >>> assert get_origin(Generic) is Generic
-2352        >>> assert get_origin(Generic[T]) is Generic
-2353        >>> assert get_origin(Union[T, int]) is Union
-2354        >>> assert get_origin(List[Tuple[T, T]][int]) is list
-2355        >>> assert get_origin(P.args) is P
-2356    """
-2357    if isinstance(tp, _AnnotatedAlias):
-2358        return Annotated
-2359    if isinstance(tp, (_BaseGenericAlias, GenericAlias,
-2360                       ParamSpecArgs, ParamSpecKwargs)):
-2361        return tp.__origin__
-2362    if tp is Generic:
-2363        return Generic
-2364    if isinstance(tp, types.UnionType):
-2365        return types.UnionType
-2366    return None
-2367
+2339
+2340def get_origin(tp):
+2341    """Get the unsubscripted version of a type.
+2342
+2343    This supports generic types, Callable, Tuple, Union, Literal, Final, ClassVar,
+2344    Annotated, and others. Return None for unsupported types.
+2345
+2346    Examples::
+2347
+2348        >>> P = ParamSpec('P')
+2349        >>> assert get_origin(Literal[42]) is Literal
+2350        >>> assert get_origin(int) is None
+2351        >>> assert get_origin(ClassVar[int]) is ClassVar
+2352        >>> assert get_origin(Generic) is Generic
+2353        >>> assert get_origin(Generic[T]) is Generic
+2354        >>> assert get_origin(Union[T, int]) is Union
+2355        >>> assert get_origin(List[Tuple[T, T]][int]) is list
+2356        >>> assert get_origin(P.args) is P
+2357    """
+2358    if isinstance(tp, _AnnotatedAlias):
+2359        return Annotated
+2360    if isinstance(tp, (_BaseGenericAlias, GenericAlias,
+2361                       ParamSpecArgs, ParamSpecKwargs)):
+2362        return tp.__origin__
+2363    if tp is Generic:
+2364        return Generic
+2365    if isinstance(tp, types.UnionType):
+2366        return types.UnionType
+2367    return None
 2368
-2369def get_args(tp):
-2370    """Get type arguments with all substitutions performed.
-2371
-2372    For unions, basic simplifications used by Union constructor are performed.
-2373
-2374    Examples::
-2375
-2376        >>> T = TypeVar('T')
-2377        >>> assert get_args(Dict[str, int]) == (str, int)
-2378        >>> assert get_args(int) == ()
-2379        >>> assert get_args(Union[int, Union[T, int], str][int]) == (int, str)
-2380        >>> assert get_args(Union[int, Tuple[T, int]][str]) == (int, Tuple[str, int])
-2381        >>> assert get_args(Callable[[], T][int]) == ([], int)
-2382    """
-2383    if isinstance(tp, _AnnotatedAlias):
-2384        return (tp.__origin__,) + tp.__metadata__
-2385    if isinstance(tp, (_GenericAlias, GenericAlias)):
-2386        res = tp.__args__
-2387        if _should_unflatten_callable_args(tp, res):
-2388            res = (list(res[:-1]), res[-1])
-2389        return res
-2390    if isinstance(tp, types.UnionType):
-2391        return tp.__args__
-2392    return ()
-2393
+2369
+2370def get_args(tp):
+2371    """Get type arguments with all substitutions performed.
+2372
+2373    For unions, basic simplifications used by Union constructor are performed.
+2374
+2375    Examples::
+2376
+2377        >>> T = TypeVar('T')
+2378        >>> assert get_args(Dict[str, int]) == (str, int)
+2379        >>> assert get_args(int) == ()
+2380        >>> assert get_args(Union[int, Union[T, int], str][int]) == (int, str)
+2381        >>> assert get_args(Union[int, Tuple[T, int]][str]) == (int, Tuple[str, int])
+2382        >>> assert get_args(Callable[[], T][int]) == ([], int)
+2383    """
+2384    if isinstance(tp, _AnnotatedAlias):
+2385        return (tp.__origin__,) + tp.__metadata__
+2386    if isinstance(tp, (_GenericAlias, GenericAlias)):
+2387        res = tp.__args__
+2388        if _should_unflatten_callable_args(tp, res):
+2389            res = (list(res[:-1]), res[-1])
+2390        return res
+2391    if isinstance(tp, types.UnionType):
+2392        return tp.__args__
+2393    return ()
 2394
-2395def is_typeddict(tp):
-2396    """Check if an annotation is a TypedDict class.
-2397
-2398    For example::
-2399
-2400        >>> from typing import TypedDict
-2401        >>> class Film(TypedDict):
-2402        ...     title: str
-2403        ...     year: int
-2404        ...
-2405        >>> is_typeddict(Film)
-2406        True
-2407        >>> is_typeddict(dict)
-2408        False
-2409    """
-2410    return isinstance(tp, _TypedDictMeta)
-2411
+2395
+2396def is_typeddict(tp):
+2397    """Check if an annotation is a TypedDict class.
+2398
+2399    For example::
+2400
+2401        >>> from typing import TypedDict
+2402        >>> class Film(TypedDict):
+2403        ...     title: str
+2404        ...     year: int
+2405        ...
+2406        >>> is_typeddict(Film)
+2407        True
+2408        >>> is_typeddict(dict)
+2409        False
+2410    """
+2411    return isinstance(tp, _TypedDictMeta)
 2412
-2413_ASSERT_NEVER_REPR_MAX_LENGTH = 100
-2414
+2413
+2414_ASSERT_NEVER_REPR_MAX_LENGTH = 100
 2415
-2416def assert_never(arg: Never, /) -> Never:
-2417    """Statically assert that a line of code is unreachable.
-2418
-2419    Example::
-2420
-2421        def int_or_str(arg: int | str) -> None:
-2422            match arg:
-2423                case int():
-2424                    print("It's an int")
-2425                case str():
-2426                    print("It's a str")
-2427                case _:
-2428                    assert_never(arg)
-2429
-2430    If a type checker finds that a call to assert_never() is
-2431    reachable, it will emit an error.
-2432
-2433    At runtime, this throws an exception when called.
-2434    """
-2435    value = repr(arg)
-2436    if len(value) > _ASSERT_NEVER_REPR_MAX_LENGTH:
-2437        value = value[:_ASSERT_NEVER_REPR_MAX_LENGTH] + '...'
-2438    raise AssertionError(f"Expected code to be unreachable, but got: {value}")
-2439
+2416
+2417def assert_never(arg: Never, /) -> Never:
+2418    """Statically assert that a line of code is unreachable.
+2419
+2420    Example::
+2421
+2422        def int_or_str(arg: int | str) -> None:
+2423            match arg:
+2424                case int():
+2425                    print("It's an int")
+2426                case str():
+2427                    print("It's a str")
+2428                case _:
+2429                    assert_never(arg)
+2430
+2431    If a type checker finds that a call to assert_never() is
+2432    reachable, it will emit an error.
+2433
+2434    At runtime, this throws an exception when called.
+2435    """
+2436    value = repr(arg)
+2437    if len(value) > _ASSERT_NEVER_REPR_MAX_LENGTH:
+2438        value = value[:_ASSERT_NEVER_REPR_MAX_LENGTH] + '...'
+2439    raise AssertionError(f"Expected code to be unreachable, but got: {value}")
 2440
-2441def no_type_check(arg):
-2442    """Decorator to indicate that annotations are not type hints.
-2443
-2444    The argument must be a class or function; if it is a class, it
-2445    applies recursively to all methods and classes defined in that class
-2446    (but not to methods defined in its superclasses or subclasses).
-2447
-2448    This mutates the function(s) or class(es) in place.
-2449    """
-2450    if isinstance(arg, type):
-2451        for key in dir(arg):
-2452            obj = getattr(arg, key)
-2453            if (
-2454                not hasattr(obj, '__qualname__')
-2455                or obj.__qualname__ != f'{arg.__qualname__}.{obj.__name__}'
-2456                or getattr(obj, '__module__', None) != arg.__module__
-2457            ):
-2458                # We only modify objects that are defined in this type directly.
-2459                # If classes / methods are nested in multiple layers,
-2460                # we will modify them when processing their direct holders.
-2461                continue
-2462            # Instance, class, and static methods:
-2463            if isinstance(obj, types.FunctionType):
-2464                obj.__no_type_check__ = True
-2465            if isinstance(obj, types.MethodType):
-2466                obj.__func__.__no_type_check__ = True
-2467            # Nested types:
-2468            if isinstance(obj, type):
-2469                no_type_check(obj)
-2470    try:
-2471        arg.__no_type_check__ = True
-2472    except TypeError:  # built-in classes
-2473        pass
-2474    return arg
-2475
+2441
+2442def no_type_check(arg):
+2443    """Decorator to indicate that annotations are not type hints.
+2444
+2445    The argument must be a class or function; if it is a class, it
+2446    applies recursively to all methods and classes defined in that class
+2447    (but not to methods defined in its superclasses or subclasses).
+2448
+2449    This mutates the function(s) or class(es) in place.
+2450    """
+2451    if isinstance(arg, type):
+2452        for key in dir(arg):
+2453            obj = getattr(arg, key)
+2454            if (
+2455                not hasattr(obj, '__qualname__')
+2456                or obj.__qualname__ != f'{arg.__qualname__}.{obj.__name__}'
+2457                or getattr(obj, '__module__', None) != arg.__module__
+2458            ):
+2459                # We only modify objects that are defined in this type directly.
+2460                # If classes / methods are nested in multiple layers,
+2461                # we will modify them when processing their direct holders.
+2462                continue
+2463            # Instance, class, and static methods:
+2464            if isinstance(obj, types.FunctionType):
+2465                obj.__no_type_check__ = True
+2466            if isinstance(obj, types.MethodType):
+2467                obj.__func__.__no_type_check__ = True
+2468            # Nested types:
+2469            if isinstance(obj, type):
+2470                no_type_check(obj)
+2471    try:
+2472        arg.__no_type_check__ = True
+2473    except TypeError:  # built-in classes
+2474        pass
+2475    return arg
 2476
-2477def no_type_check_decorator(decorator):
-2478    """Decorator to give another decorator the @no_type_check effect.
-2479
-2480    This wraps the decorator with something that wraps the decorated
-2481    function in @no_type_check.
-2482    """
-2483    @functools.wraps(decorator)
-2484    def wrapped_decorator(*args, **kwds):
-2485        func = decorator(*args, **kwds)
-2486        func = no_type_check(func)
-2487        return func
-2488
-2489    return wrapped_decorator
-2490
+2477
+2478def no_type_check_decorator(decorator):
+2479    """Decorator to give another decorator the @no_type_check effect.
+2480
+2481    This wraps the decorator with something that wraps the decorated
+2482    function in @no_type_check.
+2483    """
+2484    @functools.wraps(decorator)
+2485    def wrapped_decorator(*args, **kwds):
+2486        func = decorator(*args, **kwds)
+2487        func = no_type_check(func)
+2488        return func
+2489
+2490    return wrapped_decorator
 2491
-2492def _overload_dummy(*args, **kwds):
-2493    """Helper for @overload to raise when called."""
-2494    raise NotImplementedError(
-2495        "You should not call an overloaded function. "
-2496        "A series of @overload-decorated functions "
-2497        "outside a stub module should always be followed "
-2498        "by an implementation that is not @overload-ed.")
-2499
+2492
+2493def _overload_dummy(*args, **kwds):
+2494    """Helper for @overload to raise when called."""
+2495    raise NotImplementedError(
+2496        "You should not call an overloaded function. "
+2497        "A series of @overload-decorated functions "
+2498        "outside a stub module should always be followed "
+2499        "by an implementation that is not @overload-ed.")
 2500
-2501# {module: {qualname: {firstlineno: func}}}
-2502_overload_registry = defaultdict(functools.partial(defaultdict, dict))
-2503
+2501
+2502# {module: {qualname: {firstlineno: func}}}
+2503_overload_registry = defaultdict(functools.partial(defaultdict, dict))
 2504
-2505def overload(func):
-2506    """Decorator for overloaded functions/methods.
-2507
-2508    In a stub file, place two or more stub definitions for the same
-2509    function in a row, each decorated with @overload.
-2510
-2511    For example::
-2512
-2513        @overload
-2514        def utf8(value: None) -> None: ...
-2515        @overload
-2516        def utf8(value: bytes) -> bytes: ...
-2517        @overload
-2518        def utf8(value: str) -> bytes: ...
-2519
-2520    In a non-stub file (i.e. a regular .py file), do the same but
-2521    follow it with an implementation.  The implementation should *not*
-2522    be decorated with @overload::
-2523
-2524        @overload
-2525        def utf8(value: None) -> None: ...
-2526        @overload
-2527        def utf8(value: bytes) -> bytes: ...
-2528        @overload
-2529        def utf8(value: str) -> bytes: ...
-2530        def utf8(value):
-2531            ...  # implementation goes here
-2532
-2533    The overloads for a function can be retrieved at runtime using the
-2534    get_overloads() function.
-2535    """
-2536    # classmethod and staticmethod
-2537    f = getattr(func, "__func__", func)
-2538    try:
-2539        _overload_registry[f.__module__][f.__qualname__][f.__code__.co_firstlineno] = func
-2540    except AttributeError:
-2541        # Not a normal function; ignore.
-2542        pass
-2543    return _overload_dummy
-2544
+2505
+2506def overload(func):
+2507    """Decorator for overloaded functions/methods.
+2508
+2509    In a stub file, place two or more stub definitions for the same
+2510    function in a row, each decorated with @overload.
+2511
+2512    For example::
+2513
+2514        @overload
+2515        def utf8(value: None) -> None: ...
+2516        @overload
+2517        def utf8(value: bytes) -> bytes: ...
+2518        @overload
+2519        def utf8(value: str) -> bytes: ...
+2520
+2521    In a non-stub file (i.e. a regular .py file), do the same but
+2522    follow it with an implementation.  The implementation should *not*
+2523    be decorated with @overload::
+2524
+2525        @overload
+2526        def utf8(value: None) -> None: ...
+2527        @overload
+2528        def utf8(value: bytes) -> bytes: ...
+2529        @overload
+2530        def utf8(value: str) -> bytes: ...
+2531        def utf8(value):
+2532            ...  # implementation goes here
+2533
+2534    The overloads for a function can be retrieved at runtime using the
+2535    get_overloads() function.
+2536    """
+2537    # classmethod and staticmethod
+2538    f = getattr(func, "__func__", func)
+2539    try:
+2540        _overload_registry[f.__module__][f.__qualname__][f.__code__.co_firstlineno] = func
+2541    except AttributeError:
+2542        # Not a normal function; ignore.
+2543        pass
+2544    return _overload_dummy
 2545
-2546def get_overloads(func):
-2547    """Return all defined overloads for *func* as a sequence."""
-2548    # classmethod and staticmethod
-2549    f = getattr(func, "__func__", func)
-2550    if f.__module__ not in _overload_registry:
-2551        return []
-2552    mod_dict = _overload_registry[f.__module__]
-2553    if f.__qualname__ not in mod_dict:
-2554        return []
-2555    return list(mod_dict[f.__qualname__].values())
-2556
+2546
+2547def get_overloads(func):
+2548    """Return all defined overloads for *func* as a sequence."""
+2549    # classmethod and staticmethod
+2550    f = getattr(func, "__func__", func)
+2551    if f.__module__ not in _overload_registry:
+2552        return []
+2553    mod_dict = _overload_registry[f.__module__]
+2554    if f.__qualname__ not in mod_dict:
+2555        return []
+2556    return list(mod_dict[f.__qualname__].values())
 2557
-2558def clear_overloads():
-2559    """Clear all overloads in the registry."""
-2560    _overload_registry.clear()
-2561
+2558
+2559def clear_overloads():
+2560    """Clear all overloads in the registry."""
+2561    _overload_registry.clear()
 2562
-2563def final(f):
-2564    """Decorator to indicate final methods and final classes.
-2565
-2566    Use this decorator to indicate to type checkers that the decorated
-2567    method cannot be overridden, and decorated class cannot be subclassed.
-2568
-2569    For example::
-2570
-2571        class Base:
-2572            @final
-2573            def done(self) -> None:
-2574                ...
-2575        class Sub(Base):
-2576            def done(self) -> None:  # Error reported by type checker
-2577                ...
-2578
-2579        @final
-2580        class Leaf:
-2581            ...
-2582        class Other(Leaf):  # Error reported by type checker
-2583            ...
-2584
-2585    There is no runtime checking of these properties. The decorator
-2586    attempts to set the ``__final__`` attribute to ``True`` on the decorated
-2587    object to allow runtime introspection.
-2588    """
-2589    try:
-2590        f.__final__ = True
-2591    except (AttributeError, TypeError):
-2592        # Skip the attribute silently if it is not writable.
-2593        # AttributeError happens if the object has __slots__ or a
-2594        # read-only property, TypeError if it's a builtin class.
-2595        pass
-2596    return f
-2597
+2563
+2564def final(f):
+2565    """Decorator to indicate final methods and final classes.
+2566
+2567    Use this decorator to indicate to type checkers that the decorated
+2568    method cannot be overridden, and decorated class cannot be subclassed.
+2569
+2570    For example::
+2571
+2572        class Base:
+2573            @final
+2574            def done(self) -> None:
+2575                ...
+2576        class Sub(Base):
+2577            def done(self) -> None:  # Error reported by type checker
+2578                ...
+2579
+2580        @final
+2581        class Leaf:
+2582            ...
+2583        class Other(Leaf):  # Error reported by type checker
+2584            ...
+2585
+2586    There is no runtime checking of these properties. The decorator
+2587    attempts to set the ``__final__`` attribute to ``True`` on the decorated
+2588    object to allow runtime introspection.
+2589    """
+2590    try:
+2591        f.__final__ = True
+2592    except (AttributeError, TypeError):
+2593        # Skip the attribute silently if it is not writable.
+2594        # AttributeError happens if the object has __slots__ or a
+2595        # read-only property, TypeError if it's a builtin class.
+2596        pass
+2597    return f
 2598
-2599# Some unconstrained type variables.  These were initially used by the container types.
-2600# They were never meant for export and are now unused, but we keep them around to
-2601# avoid breaking compatibility with users who import them.
-2602T = TypeVar('T')  # Any type.
-2603KT = TypeVar('KT')  # Key type.
-2604VT = TypeVar('VT')  # Value type.
-2605T_co = TypeVar('T_co', covariant=True)  # Any type covariant containers.
-2606V_co = TypeVar('V_co', covariant=True)  # Any type covariant containers.
-2607VT_co = TypeVar('VT_co', covariant=True)  # Value type covariant containers.
-2608T_contra = TypeVar('T_contra', contravariant=True)  # Ditto contravariant.
-2609# Internal type variable used for Type[].
-2610CT_co = TypeVar('CT_co', covariant=True, bound=type)
-2611
+2599
+2600# Some unconstrained type variables.  These were initially used by the container types.
+2601# They were never meant for export and are now unused, but we keep them around to
+2602# avoid breaking compatibility with users who import them.
+2603T = TypeVar('T')  # Any type.
+2604KT = TypeVar('KT')  # Key type.
+2605VT = TypeVar('VT')  # Value type.
+2606T_co = TypeVar('T_co', covariant=True)  # Any type covariant containers.
+2607V_co = TypeVar('V_co', covariant=True)  # Any type covariant containers.
+2608VT_co = TypeVar('VT_co', covariant=True)  # Value type covariant containers.
+2609T_contra = TypeVar('T_contra', contravariant=True)  # Ditto contravariant.
+2610# Internal type variable used for Type[].
+2611CT_co = TypeVar('CT_co', covariant=True, bound=type)
 2612
-2613# A useful type variable with constraints.  This represents string types.
-2614# (This one *is* for export!)
-2615AnyStr = TypeVar('AnyStr', bytes, str)
-2616
+2613
+2614# A useful type variable with constraints.  This represents string types.
+2615# (This one *is* for export!)
+2616AnyStr = TypeVar('AnyStr', bytes, str)
 2617
-2618# Various ABCs mimicking those in collections.abc.
-2619_alias = _SpecialGenericAlias
-2620
-2621Hashable = _alias(collections.abc.Hashable, 0)  # Not generic.
-2622Awaitable = _alias(collections.abc.Awaitable, 1)
-2623Coroutine = _alias(collections.abc.Coroutine, 3)
-2624AsyncIterable = _alias(collections.abc.AsyncIterable, 1)
-2625AsyncIterator = _alias(collections.abc.AsyncIterator, 1)
-2626Iterable = _alias(collections.abc.Iterable, 1)
-2627Iterator = _alias(collections.abc.Iterator, 1)
-2628Reversible = _alias(collections.abc.Reversible, 1)
-2629Sized = _alias(collections.abc.Sized, 0)  # Not generic.
-2630Container = _alias(collections.abc.Container, 1)
-2631Collection = _alias(collections.abc.Collection, 1)
-2632Callable = _CallableType(collections.abc.Callable, 2)
-2633Callable.__doc__ = \
-2634    """Deprecated alias to collections.abc.Callable.
-2635
-2636    Callable[[int], str] signifies a function that takes a single
-2637    parameter of type int and returns a str.
-2638
-2639    The subscription syntax must always be used with exactly two
-2640    values: the argument list and the return type.
-2641    The argument list must be a list of types, a ParamSpec,
-2642    Concatenate or ellipsis. The return type must be a single type.
-2643
-2644    There is no syntax to indicate optional or keyword arguments;
-2645    such function types are rarely used as callback types.
-2646    """
-2647AbstractSet = _alias(collections.abc.Set, 1, name='AbstractSet')
-2648MutableSet = _alias(collections.abc.MutableSet, 1)
-2649# NOTE: Mapping is only covariant in the value type.
-2650Mapping = _alias(collections.abc.Mapping, 2)
-2651MutableMapping = _alias(collections.abc.MutableMapping, 2)
-2652Sequence = _alias(collections.abc.Sequence, 1)
-2653MutableSequence = _alias(collections.abc.MutableSequence, 1)
-2654ByteString = _DeprecatedGenericAlias(
-2655    collections.abc.ByteString, 0, removal_version=(3, 14)  # Not generic.
-2656)
-2657# Tuple accepts variable number of parameters.
-2658Tuple = _TupleType(tuple, -1, inst=False, name='Tuple')
-2659Tuple.__doc__ = \
-2660    """Deprecated alias to builtins.tuple.
-2661
-2662    Tuple[X, Y] is the cross-product type of X and Y.
-2663
-2664    Example: Tuple[T1, T2] is a tuple of two elements corresponding
-2665    to type variables T1 and T2.  Tuple[int, float, str] is a tuple
-2666    of an int, a float and a string.
-2667
-2668    To specify a variable-length tuple of homogeneous type, use Tuple[T, ...].
-2669    """
-2670List = _alias(list, 1, inst=False, name='List')
-2671Deque = _alias(collections.deque, 1, name='Deque')
-2672Set = _alias(set, 1, inst=False, name='Set')
-2673FrozenSet = _alias(frozenset, 1, inst=False, name='FrozenSet')
-2674MappingView = _alias(collections.abc.MappingView, 1)
-2675KeysView = _alias(collections.abc.KeysView, 1)
-2676ItemsView = _alias(collections.abc.ItemsView, 2)
-2677ValuesView = _alias(collections.abc.ValuesView, 1)
-2678ContextManager = _alias(contextlib.AbstractContextManager, 1, name='ContextManager')
-2679AsyncContextManager = _alias(contextlib.AbstractAsyncContextManager, 1, name='AsyncContextManager')
-2680Dict = _alias(dict, 2, inst=False, name='Dict')
-2681DefaultDict = _alias(collections.defaultdict, 2, name='DefaultDict')
-2682OrderedDict = _alias(collections.OrderedDict, 2)
-2683Counter = _alias(collections.Counter, 1)
-2684ChainMap = _alias(collections.ChainMap, 2)
-2685Generator = _alias(collections.abc.Generator, 3)
-2686AsyncGenerator = _alias(collections.abc.AsyncGenerator, 2)
-2687Type = _alias(type, 1, inst=False, name='Type')
-2688Type.__doc__ = \
-2689    """Deprecated alias to builtins.type.
-2690
-2691    builtins.type or typing.Type can be used to annotate class objects.
-2692    For example, suppose we have the following classes::
-2693
-2694        class User: ...  # Abstract base for User classes
-2695        class BasicUser(User): ...
-2696        class ProUser(User): ...
-2697        class TeamUser(User): ...
-2698
-2699    And a function that takes a class argument that's a subclass of
-2700    User and returns an instance of the corresponding class::
-2701
-2702        def new_user[U](user_class: Type[U]) -> U:
-2703            user = user_class()
-2704            # (Here we could write the user object to a database)
-2705            return user
-2706
-2707        joe = new_user(BasicUser)
-2708
-2709    At this point the type checker knows that joe has type BasicUser.
-2710    """
-2711
+2618
+2619# Various ABCs mimicking those in collections.abc.
+2620_alias = _SpecialGenericAlias
+2621
+2622Hashable = _alias(collections.abc.Hashable, 0)  # Not generic.
+2623Awaitable = _alias(collections.abc.Awaitable, 1)
+2624Coroutine = _alias(collections.abc.Coroutine, 3)
+2625AsyncIterable = _alias(collections.abc.AsyncIterable, 1)
+2626AsyncIterator = _alias(collections.abc.AsyncIterator, 1)
+2627Iterable = _alias(collections.abc.Iterable, 1)
+2628Iterator = _alias(collections.abc.Iterator, 1)
+2629Reversible = _alias(collections.abc.Reversible, 1)
+2630Sized = _alias(collections.abc.Sized, 0)  # Not generic.
+2631Container = _alias(collections.abc.Container, 1)
+2632Collection = _alias(collections.abc.Collection, 1)
+2633Callable = _CallableType(collections.abc.Callable, 2)
+2634Callable.__doc__ = \
+2635    """Deprecated alias to collections.abc.Callable.
+2636
+2637    Callable[[int], str] signifies a function that takes a single
+2638    parameter of type int and returns a str.
+2639
+2640    The subscription syntax must always be used with exactly two
+2641    values: the argument list and the return type.
+2642    The argument list must be a list of types, a ParamSpec,
+2643    Concatenate or ellipsis. The return type must be a single type.
+2644
+2645    There is no syntax to indicate optional or keyword arguments;
+2646    such function types are rarely used as callback types.
+2647    """
+2648AbstractSet = _alias(collections.abc.Set, 1, name='AbstractSet')
+2649MutableSet = _alias(collections.abc.MutableSet, 1)
+2650# NOTE: Mapping is only covariant in the value type.
+2651Mapping = _alias(collections.abc.Mapping, 2)
+2652MutableMapping = _alias(collections.abc.MutableMapping, 2)
+2653Sequence = _alias(collections.abc.Sequence, 1)
+2654MutableSequence = _alias(collections.abc.MutableSequence, 1)
+2655ByteString = _DeprecatedGenericAlias(
+2656    collections.abc.ByteString, 0, removal_version=(3, 14)  # Not generic.
+2657)
+2658# Tuple accepts variable number of parameters.
+2659Tuple = _TupleType(tuple, -1, inst=False, name='Tuple')
+2660Tuple.__doc__ = \
+2661    """Deprecated alias to builtins.tuple.
+2662
+2663    Tuple[X, Y] is the cross-product type of X and Y.
+2664
+2665    Example: Tuple[T1, T2] is a tuple of two elements corresponding
+2666    to type variables T1 and T2.  Tuple[int, float, str] is a tuple
+2667    of an int, a float and a string.
+2668
+2669    To specify a variable-length tuple of homogeneous type, use Tuple[T, ...].
+2670    """
+2671List = _alias(list, 1, inst=False, name='List')
+2672Deque = _alias(collections.deque, 1, name='Deque')
+2673Set = _alias(set, 1, inst=False, name='Set')
+2674FrozenSet = _alias(frozenset, 1, inst=False, name='FrozenSet')
+2675MappingView = _alias(collections.abc.MappingView, 1)
+2676KeysView = _alias(collections.abc.KeysView, 1)
+2677ItemsView = _alias(collections.abc.ItemsView, 2)
+2678ValuesView = _alias(collections.abc.ValuesView, 1)
+2679ContextManager = _alias(contextlib.AbstractContextManager, 1, name='ContextManager')
+2680AsyncContextManager = _alias(contextlib.AbstractAsyncContextManager, 1, name='AsyncContextManager')
+2681Dict = _alias(dict, 2, inst=False, name='Dict')
+2682DefaultDict = _alias(collections.defaultdict, 2, name='DefaultDict')
+2683OrderedDict = _alias(collections.OrderedDict, 2)
+2684Counter = _alias(collections.Counter, 1)
+2685ChainMap = _alias(collections.ChainMap, 2)
+2686Generator = _alias(collections.abc.Generator, 3)
+2687AsyncGenerator = _alias(collections.abc.AsyncGenerator, 2)
+2688Type = _alias(type, 1, inst=False, name='Type')
+2689Type.__doc__ = \
+2690    """Deprecated alias to builtins.type.
+2691
+2692    builtins.type or typing.Type can be used to annotate class objects.
+2693    For example, suppose we have the following classes::
+2694
+2695        class User: ...  # Abstract base for User classes
+2696        class BasicUser(User): ...
+2697        class ProUser(User): ...
+2698        class TeamUser(User): ...
+2699
+2700    And a function that takes a class argument that's a subclass of
+2701    User and returns an instance of the corresponding class::
+2702
+2703        def new_user[U](user_class: Type[U]) -> U:
+2704            user = user_class()
+2705            # (Here we could write the user object to a database)
+2706            return user
+2707
+2708        joe = new_user(BasicUser)
+2709
+2710    At this point the type checker knows that joe has type BasicUser.
+2711    """
 2712
-2713@runtime_checkable
-2714class SupportsInt(Protocol):
-2715    """An ABC with one abstract method __int__."""
-2716
-2717    __slots__ = ()
-2718
-2719    @abstractmethod
-2720    def __int__(self) -> int:
-2721        pass
-2722
+2713
+2714@runtime_checkable
+2715class SupportsInt(Protocol):
+2716    """An ABC with one abstract method __int__."""
+2717
+2718    __slots__ = ()
+2719
+2720    @abstractmethod
+2721    def __int__(self) -> int:
+2722        pass
 2723
-2724@runtime_checkable
-2725class SupportsFloat(Protocol):
-2726    """An ABC with one abstract method __float__."""
-2727
-2728    __slots__ = ()
-2729
-2730    @abstractmethod
-2731    def __float__(self) -> float:
-2732        pass
-2733
+2724
+2725@runtime_checkable
+2726class SupportsFloat(Protocol):
+2727    """An ABC with one abstract method __float__."""
+2728
+2729    __slots__ = ()
+2730
+2731    @abstractmethod
+2732    def __float__(self) -> float:
+2733        pass
 2734
-2735@runtime_checkable
-2736class SupportsComplex(Protocol):
-2737    """An ABC with one abstract method __complex__."""
-2738
-2739    __slots__ = ()
-2740
-2741    @abstractmethod
-2742    def __complex__(self) -> complex:
-2743        pass
-2744
+2735
+2736@runtime_checkable
+2737class SupportsComplex(Protocol):
+2738    """An ABC with one abstract method __complex__."""
+2739
+2740    __slots__ = ()
+2741
+2742    @abstractmethod
+2743    def __complex__(self) -> complex:
+2744        pass
 2745
-2746@runtime_checkable
-2747class SupportsBytes(Protocol):
-2748    """An ABC with one abstract method __bytes__."""
-2749
-2750    __slots__ = ()
-2751
-2752    @abstractmethod
-2753    def __bytes__(self) -> bytes:
-2754        pass
-2755
+2746
+2747@runtime_checkable
+2748class SupportsBytes(Protocol):
+2749    """An ABC with one abstract method __bytes__."""
+2750
+2751    __slots__ = ()
+2752
+2753    @abstractmethod
+2754    def __bytes__(self) -> bytes:
+2755        pass
 2756
-2757@runtime_checkable
-2758class SupportsIndex(Protocol):
-2759    """An ABC with one abstract method __index__."""
-2760
-2761    __slots__ = ()
-2762
-2763    @abstractmethod
-2764    def __index__(self) -> int:
-2765        pass
-2766
+2757
+2758@runtime_checkable
+2759class SupportsIndex(Protocol):
+2760    """An ABC with one abstract method __index__."""
+2761
+2762    __slots__ = ()
+2763
+2764    @abstractmethod
+2765    def __index__(self) -> int:
+2766        pass
 2767
-2768@runtime_checkable
-2769class SupportsAbs[T](Protocol):
-2770    """An ABC with one abstract method __abs__ that is covariant in its return type."""
-2771
-2772    __slots__ = ()
-2773
-2774    @abstractmethod
-2775    def __abs__(self) -> T:
-2776        pass
-2777
+2768
+2769@runtime_checkable
+2770class SupportsAbs[T](Protocol):
+2771    """An ABC with one abstract method __abs__ that is covariant in its return type."""
+2772
+2773    __slots__ = ()
+2774
+2775    @abstractmethod
+2776    def __abs__(self) -> T:
+2777        pass
 2778
-2779@runtime_checkable
-2780class SupportsRound[T](Protocol):
-2781    """An ABC with one abstract method __round__ that is covariant in its return type."""
-2782
-2783    __slots__ = ()
-2784
-2785    @abstractmethod
-2786    def __round__(self, ndigits: int = 0) -> T:
-2787        pass
-2788
+2779
+2780@runtime_checkable
+2781class SupportsRound[T](Protocol):
+2782    """An ABC with one abstract method __round__ that is covariant in its return type."""
+2783
+2784    __slots__ = ()
+2785
+2786    @abstractmethod
+2787    def __round__(self, ndigits: int = 0) -> T:
+2788        pass
 2789
-2790def _make_nmtuple(name, types, module, defaults = ()):
-2791    fields = [n for n, t in types]
-2792    types = {n: _type_check(t, f"field {n} annotation must be a type")
-2793             for n, t in types}
-2794    nm_tpl = collections.namedtuple(name, fields,
-2795                                    defaults=defaults, module=module)
-2796    nm_tpl.__annotations__ = nm_tpl.__new__.__annotations__ = types
-2797    return nm_tpl
-2798
+2790
+2791def _make_nmtuple(name, types, module, defaults = ()):
+2792    fields = [n for n, t in types]
+2793    types = {n: _type_check(t, f"field {n} annotation must be a type")
+2794             for n, t in types}
+2795    nm_tpl = collections.namedtuple(name, fields,
+2796                                    defaults=defaults, module=module)
+2797    nm_tpl.__annotations__ = nm_tpl.__new__.__annotations__ = types
+2798    return nm_tpl
 2799
-2800# attributes prohibited to set in NamedTuple class syntax
-2801_prohibited = frozenset({'__new__', '__init__', '__slots__', '__getnewargs__',
-2802                         '_fields', '_field_defaults',
-2803                         '_make', '_replace', '_asdict', '_source'})
-2804
-2805_special = frozenset({'__module__', '__name__', '__annotations__'})
-2806
+2800
+2801# attributes prohibited to set in NamedTuple class syntax
+2802_prohibited = frozenset({'__new__', '__init__', '__slots__', '__getnewargs__',
+2803                         '_fields', '_field_defaults',
+2804                         '_make', '_replace', '_asdict', '_source'})
+2805
+2806_special = frozenset({'__module__', '__name__', '__annotations__'})
 2807
-2808class NamedTupleMeta(type):
-2809    def __new__(cls, typename, bases, ns):
-2810        assert _NamedTuple in bases
-2811        for base in bases:
-2812            if base is not _NamedTuple and base is not Generic:
-2813                raise TypeError(
-2814                    'can only inherit from a NamedTuple type and Generic')
-2815        bases = tuple(tuple if base is _NamedTuple else base for base in bases)
-2816        types = ns.get('__annotations__', {})
-2817        default_names = []
-2818        for field_name in types:
-2819            if field_name in ns:
-2820                default_names.append(field_name)
-2821            elif default_names:
-2822                raise TypeError(f"Non-default namedtuple field {field_name} "
-2823                                f"cannot follow default field"
-2824                                f"{'s' if len(default_names) > 1 else ''} "
-2825                                f"{', '.join(default_names)}")
-2826        nm_tpl = _make_nmtuple(typename, types.items(),
-2827                               defaults=[ns[n] for n in default_names],
-2828                               module=ns['__module__'])
-2829        nm_tpl.__bases__ = bases
-2830        if Generic in bases:
-2831            class_getitem = _generic_class_getitem
-2832            nm_tpl.__class_getitem__ = classmethod(class_getitem)
-2833        # update from user namespace without overriding special namedtuple attributes
-2834        for key in ns:
-2835            if key in _prohibited:
-2836                raise AttributeError("Cannot overwrite NamedTuple attribute " + key)
-2837            elif key not in _special and key not in nm_tpl._fields:
-2838                setattr(nm_tpl, key, ns[key])
-2839        if Generic in bases:
-2840            nm_tpl.__init_subclass__()
-2841        return nm_tpl
-2842
+2808
+2809class NamedTupleMeta(type):
+2810    def __new__(cls, typename, bases, ns):
+2811        assert _NamedTuple in bases
+2812        for base in bases:
+2813            if base is not _NamedTuple and base is not Generic:
+2814                raise TypeError(
+2815                    'can only inherit from a NamedTuple type and Generic')
+2816        bases = tuple(tuple if base is _NamedTuple else base for base in bases)
+2817        types = ns.get('__annotations__', {})
+2818        default_names = []
+2819        for field_name in types:
+2820            if field_name in ns:
+2821                default_names.append(field_name)
+2822            elif default_names:
+2823                raise TypeError(f"Non-default namedtuple field {field_name} "
+2824                                f"cannot follow default field"
+2825                                f"{'s' if len(default_names) > 1 else ''} "
+2826                                f"{', '.join(default_names)}")
+2827        nm_tpl = _make_nmtuple(typename, types.items(),
+2828                               defaults=[ns[n] for n in default_names],
+2829                               module=ns['__module__'])
+2830        nm_tpl.__bases__ = bases
+2831        if Generic in bases:
+2832            class_getitem = _generic_class_getitem
+2833            nm_tpl.__class_getitem__ = classmethod(class_getitem)
+2834        # update from user namespace without overriding special namedtuple attributes
+2835        for key in ns:
+2836            if key in _prohibited:
+2837                raise AttributeError("Cannot overwrite NamedTuple attribute " + key)
+2838            elif key not in _special and key not in nm_tpl._fields:
+2839                setattr(nm_tpl, key, ns[key])
+2840        if Generic in bases:
+2841            nm_tpl.__init_subclass__()
+2842        return nm_tpl
 2843
-2844def NamedTuple(typename, fields=None, /, **kwargs):
-2845    """Typed version of namedtuple.
-2846
-2847    Usage::
-2848
-2849        class Employee(NamedTuple):
-2850            name: str
-2851            id: int
-2852
-2853    This is equivalent to::
-2854
-2855        Employee = collections.namedtuple('Employee', ['name', 'id'])
-2856
-2857    The resulting class has an extra __annotations__ attribute, giving a
-2858    dict that maps field names to types.  (The field names are also in
-2859    the _fields attribute, which is part of the namedtuple API.)
-2860    An alternative equivalent functional syntax is also accepted::
-2861
-2862        Employee = NamedTuple('Employee', [('name', str), ('id', int)])
-2863    """
-2864    if fields is None:
-2865        fields = kwargs.items()
-2866    elif kwargs:
-2867        raise TypeError("Either list of fields or keywords"
-2868                        " can be provided to NamedTuple, not both")
-2869    nt = _make_nmtuple(typename, fields, module=_caller())
-2870    nt.__orig_bases__ = (NamedTuple,)
-2871    return nt
-2872
-2873_NamedTuple = type.__new__(NamedTupleMeta, 'NamedTuple', (), {})
-2874
-2875def _namedtuple_mro_entries(bases):
-2876    assert NamedTuple in bases
-2877    return (_NamedTuple,)
-2878
-2879NamedTuple.__mro_entries__ = _namedtuple_mro_entries
-2880
+2844
+2845def NamedTuple(typename, fields=None, /, **kwargs):
+2846    """Typed version of namedtuple.
+2847
+2848    Usage::
+2849
+2850        class Employee(NamedTuple):
+2851            name: str
+2852            id: int
+2853
+2854    This is equivalent to::
+2855
+2856        Employee = collections.namedtuple('Employee', ['name', 'id'])
+2857
+2858    The resulting class has an extra __annotations__ attribute, giving a
+2859    dict that maps field names to types.  (The field names are also in
+2860    the _fields attribute, which is part of the namedtuple API.)
+2861    An alternative equivalent functional syntax is also accepted::
+2862
+2863        Employee = NamedTuple('Employee', [('name', str), ('id', int)])
+2864    """
+2865    if fields is None:
+2866        fields = kwargs.items()
+2867    elif kwargs:
+2868        raise TypeError("Either list of fields or keywords"
+2869                        " can be provided to NamedTuple, not both")
+2870    nt = _make_nmtuple(typename, fields, module=_caller())
+2871    nt.__orig_bases__ = (NamedTuple,)
+2872    return nt
+2873
+2874_NamedTuple = type.__new__(NamedTupleMeta, 'NamedTuple', (), {})
+2875
+2876def _namedtuple_mro_entries(bases):
+2877    assert NamedTuple in bases
+2878    return (_NamedTuple,)
+2879
+2880NamedTuple.__mro_entries__ = _namedtuple_mro_entries
 2881
-2882class _TypedDictMeta(type):
-2883    def __new__(cls, name, bases, ns, total=True):
-2884        """Create a new typed dict class object.
-2885
-2886        This method is called when TypedDict is subclassed,
-2887        or when TypedDict is instantiated. This way
-2888        TypedDict supports all three syntax forms described in its docstring.
-2889        Subclasses and instances of TypedDict return actual dictionaries.
-2890        """
-2891        for base in bases:
-2892            if type(base) is not _TypedDictMeta and base is not Generic:
-2893                raise TypeError('cannot inherit from both a TypedDict type '
-2894                                'and a non-TypedDict base class')
-2895
-2896        if any(issubclass(b, Generic) for b in bases):
-2897            generic_base = (Generic,)
-2898        else:
-2899            generic_base = ()
-2900
-2901        tp_dict = type.__new__(_TypedDictMeta, name, (*generic_base, dict), ns)
-2902
-2903        if not hasattr(tp_dict, '__orig_bases__'):
-2904            tp_dict.__orig_bases__ = bases
-2905
-2906        annotations = {}
-2907        own_annotations = ns.get('__annotations__', {})
-2908        msg = "TypedDict('Name', {f0: t0, f1: t1, ...}); each t must be a type"
-2909        own_annotations = {
-2910            n: _type_check(tp, msg, module=tp_dict.__module__)
-2911            for n, tp in own_annotations.items()
-2912        }
-2913        required_keys = set()
-2914        optional_keys = set()
-2915
-2916        for base in bases:
-2917            annotations.update(base.__dict__.get('__annotations__', {}))
-2918
-2919            base_required = base.__dict__.get('__required_keys__', set())
-2920            required_keys |= base_required
-2921            optional_keys -= base_required
-2922
-2923            base_optional = base.__dict__.get('__optional_keys__', set())
-2924            required_keys -= base_optional
-2925            optional_keys |= base_optional
-2926
-2927        annotations.update(own_annotations)
-2928        for annotation_key, annotation_type in own_annotations.items():
-2929            annotation_origin = get_origin(annotation_type)
-2930            if annotation_origin is Annotated:
-2931                annotation_args = get_args(annotation_type)
-2932                if annotation_args:
-2933                    annotation_type = annotation_args[0]
-2934                    annotation_origin = get_origin(annotation_type)
-2935
-2936            if annotation_origin is Required:
-2937                is_required = True
-2938            elif annotation_origin is NotRequired:
-2939                is_required = False
-2940            else:
-2941                is_required = total
-2942
-2943            if is_required:
-2944                required_keys.add(annotation_key)
-2945                optional_keys.discard(annotation_key)
-2946            else:
-2947                optional_keys.add(annotation_key)
-2948                required_keys.discard(annotation_key)
-2949
-2950        assert required_keys.isdisjoint(optional_keys), (
-2951            f"Required keys overlap with optional keys in {name}:"
-2952            f" {required_keys=}, {optional_keys=}"
-2953        )
-2954        tp_dict.__annotations__ = annotations
-2955        tp_dict.__required_keys__ = frozenset(required_keys)
-2956        tp_dict.__optional_keys__ = frozenset(optional_keys)
-2957        if not hasattr(tp_dict, '__total__'):
-2958            tp_dict.__total__ = total
-2959        return tp_dict
-2960
-2961    __call__ = dict  # static method
-2962
-2963    def __subclasscheck__(cls, other):
-2964        # Typed dicts are only for static structural subtyping.
-2965        raise TypeError('TypedDict does not support instance and class checks')
-2966
-2967    __instancecheck__ = __subclasscheck__
-2968
+2882
+2883class _TypedDictMeta(type):
+2884    def __new__(cls, name, bases, ns, total=True):
+2885        """Create a new typed dict class object.
+2886
+2887        This method is called when TypedDict is subclassed,
+2888        or when TypedDict is instantiated. This way
+2889        TypedDict supports all three syntax forms described in its docstring.
+2890        Subclasses and instances of TypedDict return actual dictionaries.
+2891        """
+2892        for base in bases:
+2893            if type(base) is not _TypedDictMeta and base is not Generic:
+2894                raise TypeError('cannot inherit from both a TypedDict type '
+2895                                'and a non-TypedDict base class')
+2896
+2897        if any(issubclass(b, Generic) for b in bases):
+2898            generic_base = (Generic,)
+2899        else:
+2900            generic_base = ()
+2901
+2902        tp_dict = type.__new__(_TypedDictMeta, name, (*generic_base, dict), ns)
+2903
+2904        if not hasattr(tp_dict, '__orig_bases__'):
+2905            tp_dict.__orig_bases__ = bases
+2906
+2907        annotations = {}
+2908        own_annotations = ns.get('__annotations__', {})
+2909        msg = "TypedDict('Name', {f0: t0, f1: t1, ...}); each t must be a type"
+2910        own_annotations = {
+2911            n: _type_check(tp, msg, module=tp_dict.__module__)
+2912            for n, tp in own_annotations.items()
+2913        }
+2914        required_keys = set()
+2915        optional_keys = set()
+2916
+2917        for base in bases:
+2918            annotations.update(base.__dict__.get('__annotations__', {}))
+2919
+2920            base_required = base.__dict__.get('__required_keys__', set())
+2921            required_keys |= base_required
+2922            optional_keys -= base_required
+2923
+2924            base_optional = base.__dict__.get('__optional_keys__', set())
+2925            required_keys -= base_optional
+2926            optional_keys |= base_optional
+2927
+2928        annotations.update(own_annotations)
+2929        for annotation_key, annotation_type in own_annotations.items():
+2930            annotation_origin = get_origin(annotation_type)
+2931            if annotation_origin is Annotated:
+2932                annotation_args = get_args(annotation_type)
+2933                if annotation_args:
+2934                    annotation_type = annotation_args[0]
+2935                    annotation_origin = get_origin(annotation_type)
+2936
+2937            if annotation_origin is Required:
+2938                is_required = True
+2939            elif annotation_origin is NotRequired:
+2940                is_required = False
+2941            else:
+2942                is_required = total
+2943
+2944            if is_required:
+2945                required_keys.add(annotation_key)
+2946                optional_keys.discard(annotation_key)
+2947            else:
+2948                optional_keys.add(annotation_key)
+2949                required_keys.discard(annotation_key)
+2950
+2951        assert required_keys.isdisjoint(optional_keys), (
+2952            f"Required keys overlap with optional keys in {name}:"
+2953            f" {required_keys=}, {optional_keys=}"
+2954        )
+2955        tp_dict.__annotations__ = annotations
+2956        tp_dict.__required_keys__ = frozenset(required_keys)
+2957        tp_dict.__optional_keys__ = frozenset(optional_keys)
+2958        if not hasattr(tp_dict, '__total__'):
+2959            tp_dict.__total__ = total
+2960        return tp_dict
+2961
+2962    __call__ = dict  # static method
+2963
+2964    def __subclasscheck__(cls, other):
+2965        # Typed dicts are only for static structural subtyping.
+2966        raise TypeError('TypedDict does not support instance and class checks')
+2967
+2968    __instancecheck__ = __subclasscheck__
 2969
-2970def TypedDict(typename, fields=None, /, *, total=True, **kwargs):
-2971    """A simple typed namespace. At runtime it is equivalent to a plain dict.
-2972
-2973    TypedDict creates a dictionary type such that a type checker will expect all
-2974    instances to have a certain set of keys, where each key is
-2975    associated with a value of a consistent type. This expectation
-2976    is not checked at runtime.
-2977
-2978    Usage::
-2979
-2980        >>> class Point2D(TypedDict):
-2981        ...     x: int
-2982        ...     y: int
-2983        ...     label: str
-2984        ...
-2985        >>> a: Point2D = {'x': 1, 'y': 2, 'label': 'good'}  # OK
-2986        >>> b: Point2D = {'z': 3, 'label': 'bad'}           # Fails type check
-2987        >>> Point2D(x=1, y=2, label='first') == dict(x=1, y=2, label='first')
-2988        True
-2989
-2990    The type info can be accessed via the Point2D.__annotations__ dict, and
-2991    the Point2D.__required_keys__ and Point2D.__optional_keys__ frozensets.
-2992    TypedDict supports an additional equivalent form::
-2993
-2994        Point2D = TypedDict('Point2D', {'x': int, 'y': int, 'label': str})
-2995
-2996    By default, all keys must be present in a TypedDict. It is possible
-2997    to override this by specifying totality::
-2998
-2999        class Point2D(TypedDict, total=False):
-3000            x: int
-3001            y: int
-3002
-3003    This means that a Point2D TypedDict can have any of the keys omitted. A type
-3004    checker is only expected to support a literal False or True as the value of
-3005    the total argument. True is the default, and makes all items defined in the
-3006    class body be required.
-3007
-3008    The Required and NotRequired special forms can also be used to mark
-3009    individual keys as being required or not required::
-3010
-3011        class Point2D(TypedDict):
-3012            x: int               # the "x" key must always be present (Required is the default)
-3013            y: NotRequired[int]  # the "y" key can be omitted
-3014
-3015    See PEP 655 for more details on Required and NotRequired.
-3016    """
-3017    if fields is None:
-3018        fields = kwargs
-3019    elif kwargs:
-3020        raise TypeError("TypedDict takes either a dict or keyword arguments,"
-3021                        " but not both")
-3022    if kwargs:
-3023        warnings.warn(
-3024            "The kwargs-based syntax for TypedDict definitions is deprecated "
-3025            "in Python 3.11, will be removed in Python 3.13, and may not be "
-3026            "understood by third-party type checkers.",
-3027            DeprecationWarning,
-3028            stacklevel=2,
-3029        )
-3030
-3031    ns = {'__annotations__': dict(fields)}
-3032    module = _caller()
-3033    if module is not None:
-3034        # Setting correct module is necessary to make typed dict classes pickleable.
-3035        ns['__module__'] = module
-3036
-3037    td = _TypedDictMeta(typename, (), ns, total=total)
-3038    td.__orig_bases__ = (TypedDict,)
-3039    return td
-3040
-3041_TypedDict = type.__new__(_TypedDictMeta, 'TypedDict', (), {})
-3042TypedDict.__mro_entries__ = lambda bases: (_TypedDict,)
-3043
+2970
+2971def TypedDict(typename, fields=None, /, *, total=True, **kwargs):
+2972    """A simple typed namespace. At runtime it is equivalent to a plain dict.
+2973
+2974    TypedDict creates a dictionary type such that a type checker will expect all
+2975    instances to have a certain set of keys, where each key is
+2976    associated with a value of a consistent type. This expectation
+2977    is not checked at runtime.
+2978
+2979    Usage::
+2980
+2981        >>> class Point2D(TypedDict):
+2982        ...     x: int
+2983        ...     y: int
+2984        ...     label: str
+2985        ...
+2986        >>> a: Point2D = {'x': 1, 'y': 2, 'label': 'good'}  # OK
+2987        >>> b: Point2D = {'z': 3, 'label': 'bad'}           # Fails type check
+2988        >>> Point2D(x=1, y=2, label='first') == dict(x=1, y=2, label='first')
+2989        True
+2990
+2991    The type info can be accessed via the Point2D.__annotations__ dict, and
+2992    the Point2D.__required_keys__ and Point2D.__optional_keys__ frozensets.
+2993    TypedDict supports an additional equivalent form::
+2994
+2995        Point2D = TypedDict('Point2D', {'x': int, 'y': int, 'label': str})
+2996
+2997    By default, all keys must be present in a TypedDict. It is possible
+2998    to override this by specifying totality::
+2999
+3000        class Point2D(TypedDict, total=False):
+3001            x: int
+3002            y: int
+3003
+3004    This means that a Point2D TypedDict can have any of the keys omitted. A type
+3005    checker is only expected to support a literal False or True as the value of
+3006    the total argument. True is the default, and makes all items defined in the
+3007    class body be required.
+3008
+3009    The Required and NotRequired special forms can also be used to mark
+3010    individual keys as being required or not required::
+3011
+3012        class Point2D(TypedDict):
+3013            x: int               # the "x" key must always be present (Required is the default)
+3014            y: NotRequired[int]  # the "y" key can be omitted
+3015
+3016    See PEP 655 for more details on Required and NotRequired.
+3017    """
+3018    if fields is None:
+3019        fields = kwargs
+3020    elif kwargs:
+3021        raise TypeError("TypedDict takes either a dict or keyword arguments,"
+3022                        " but not both")
+3023    if kwargs:
+3024        warnings.warn(
+3025            "The kwargs-based syntax for TypedDict definitions is deprecated "
+3026            "in Python 3.11, will be removed in Python 3.13, and may not be "
+3027            "understood by third-party type checkers.",
+3028            DeprecationWarning,
+3029            stacklevel=2,
+3030        )
+3031
+3032    ns = {'__annotations__': dict(fields)}
+3033    module = _caller()
+3034    if module is not None:
+3035        # Setting correct module is necessary to make typed dict classes pickleable.
+3036        ns['__module__'] = module
+3037
+3038    td = _TypedDictMeta(typename, (), ns, total=total)
+3039    td.__orig_bases__ = (TypedDict,)
+3040    return td
+3041
+3042_TypedDict = type.__new__(_TypedDictMeta, 'TypedDict', (), {})
+3043TypedDict.__mro_entries__ = lambda bases: (_TypedDict,)
 3044
-3045@_SpecialForm
-3046def Required(self, parameters):
-3047    """Special typing construct to mark a TypedDict key as required.
-3048
-3049    This is mainly useful for total=False TypedDicts.
-3050
-3051    For example::
-3052
-3053        class Movie(TypedDict, total=False):
-3054            title: Required[str]
-3055            year: int
-3056
-3057        m = Movie(
-3058            title='The Matrix',  # typechecker error if key is omitted
-3059            year=1999,
-3060        )
-3061
-3062    There is no runtime checking that a required key is actually provided
-3063    when instantiating a related TypedDict.
-3064    """
-3065    item = _type_check(parameters, f'{self._name} accepts only a single type.')
-3066    return _GenericAlias(self, (item,))
-3067
+3045
+3046@_SpecialForm
+3047def Required(self, parameters):
+3048    """Special typing construct to mark a TypedDict key as required.
+3049
+3050    This is mainly useful for total=False TypedDicts.
+3051
+3052    For example::
+3053
+3054        class Movie(TypedDict, total=False):
+3055            title: Required[str]
+3056            year: int
+3057
+3058        m = Movie(
+3059            title='The Matrix',  # typechecker error if key is omitted
+3060            year=1999,
+3061        )
+3062
+3063    There is no runtime checking that a required key is actually provided
+3064    when instantiating a related TypedDict.
+3065    """
+3066    item = _type_check(parameters, f'{self._name} accepts only a single type.')
+3067    return _GenericAlias(self, (item,))
 3068
-3069@_SpecialForm
-3070def NotRequired(self, parameters):
-3071    """Special typing construct to mark a TypedDict key as potentially missing.
-3072
-3073    For example::
-3074
-3075        class Movie(TypedDict):
-3076            title: str
-3077            year: NotRequired[int]
-3078
-3079        m = Movie(
-3080            title='The Matrix',  # typechecker error if key is omitted
-3081            year=1999,
-3082        )
-3083    """
-3084    item = _type_check(parameters, f'{self._name} accepts only a single type.')
-3085    return _GenericAlias(self, (item,))
-3086
+3069
+3070@_SpecialForm
+3071def NotRequired(self, parameters):
+3072    """Special typing construct to mark a TypedDict key as potentially missing.
+3073
+3074    For example::
+3075
+3076        class Movie(TypedDict):
+3077            title: str
+3078            year: NotRequired[int]
+3079
+3080        m = Movie(
+3081            title='The Matrix',  # typechecker error if key is omitted
+3082            year=1999,
+3083        )
+3084    """
+3085    item = _type_check(parameters, f'{self._name} accepts only a single type.')
+3086    return _GenericAlias(self, (item,))
 3087
-3088class NewType:
-3089    """NewType creates simple unique types with almost zero runtime overhead.
-3090
-3091    NewType(name, tp) is considered a subtype of tp
-3092    by static type checkers. At runtime, NewType(name, tp) returns
-3093    a dummy callable that simply returns its argument.
-3094
-3095    Usage::
-3096
-3097        UserId = NewType('UserId', int)
-3098
-3099        def name_by_id(user_id: UserId) -> str:
-3100            ...
-3101
-3102        UserId('user')          # Fails type check
-3103
-3104        name_by_id(42)          # Fails type check
-3105        name_by_id(UserId(42))  # OK
-3106
-3107        num = UserId(5) + 1     # type: int
-3108    """
-3109
-3110    __call__ = _idfunc
-3111
-3112    def __init__(self, name, tp):
-3113        self.__qualname__ = name
-3114        if '.' in name:
-3115            name = name.rpartition('.')[-1]
-3116        self.__name__ = name
-3117        self.__supertype__ = tp
-3118        def_mod = _caller()
-3119        if def_mod != 'typing':
-3120            self.__module__ = def_mod
-3121
-3122    def __mro_entries__(self, bases):
-3123        # We defined __mro_entries__ to get a better error message
-3124        # if a user attempts to subclass a NewType instance. bpo-46170
-3125        superclass_name = self.__name__
-3126
-3127        class Dummy:
-3128            def __init_subclass__(cls):
-3129                subclass_name = cls.__name__
-3130                raise TypeError(
-3131                    f"Cannot subclass an instance of NewType. Perhaps you were looking for: "
-3132                    f"`{subclass_name} = NewType({subclass_name!r}, {superclass_name})`"
-3133                )
-3134
-3135        return (Dummy,)
-3136
-3137    def __repr__(self):
-3138        return f'{self.__module__}.{self.__qualname__}'
-3139
-3140    def __reduce__(self):
-3141        return self.__qualname__
-3142
-3143    def __or__(self, other):
-3144        return Union[self, other]
-3145
-3146    def __ror__(self, other):
-3147        return Union[other, self]
-3148
+3088
+3089class NewType:
+3090    """NewType creates simple unique types with almost zero runtime overhead.
+3091
+3092    NewType(name, tp) is considered a subtype of tp
+3093    by static type checkers. At runtime, NewType(name, tp) returns
+3094    a dummy callable that simply returns its argument.
+3095
+3096    Usage::
+3097
+3098        UserId = NewType('UserId', int)
+3099
+3100        def name_by_id(user_id: UserId) -> str:
+3101            ...
+3102
+3103        UserId('user')          # Fails type check
+3104
+3105        name_by_id(42)          # Fails type check
+3106        name_by_id(UserId(42))  # OK
+3107
+3108        num = UserId(5) + 1     # type: int
+3109    """
+3110
+3111    __call__ = _idfunc
+3112
+3113    def __init__(self, name, tp):
+3114        self.__qualname__ = name
+3115        if '.' in name:
+3116            name = name.rpartition('.')[-1]
+3117        self.__name__ = name
+3118        self.__supertype__ = tp
+3119        def_mod = _caller()
+3120        if def_mod != 'typing':
+3121            self.__module__ = def_mod
+3122
+3123    def __mro_entries__(self, bases):
+3124        # We defined __mro_entries__ to get a better error message
+3125        # if a user attempts to subclass a NewType instance. bpo-46170
+3126        superclass_name = self.__name__
+3127
+3128        class Dummy:
+3129            def __init_subclass__(cls):
+3130                subclass_name = cls.__name__
+3131                raise TypeError(
+3132                    f"Cannot subclass an instance of NewType. Perhaps you were looking for: "
+3133                    f"`{subclass_name} = NewType({subclass_name!r}, {superclass_name})`"
+3134                )
+3135
+3136        return (Dummy,)
+3137
+3138    def __repr__(self):
+3139        return f'{self.__module__}.{self.__qualname__}'
+3140
+3141    def __reduce__(self):
+3142        return self.__qualname__
+3143
+3144    def __or__(self, other):
+3145        return Union[self, other]
+3146
+3147    def __ror__(self, other):
+3148        return Union[other, self]
 3149
-3150# Python-version-specific alias (Python 2: unicode; Python 3: str)
-3151Text = str
-3152
+3150
+3151# Python-version-specific alias (Python 2: unicode; Python 3: str)
+3152Text = str
 3153
-3154# Constant that's True when type checking, but False here.
-3155TYPE_CHECKING = False
-3156
+3154
+3155# Constant that's True when type checking, but False here.
+3156TYPE_CHECKING = False
 3157
-3158class IO(Generic[AnyStr]):
-3159    """Generic base class for TextIO and BinaryIO.
-3160
-3161    This is an abstract, generic version of the return of open().
-3162
-3163    NOTE: This does not distinguish between the different possible
-3164    classes (text vs. binary, read vs. write vs. read/write,
-3165    append-only, unbuffered).  The TextIO and BinaryIO subclasses
-3166    below capture the distinctions between text vs. binary, which is
-3167    pervasive in the interface; however we currently do not offer a
-3168    way to track the other distinctions in the type system.
-3169    """
-3170
-3171    __slots__ = ()
-3172
-3173    @property
-3174    @abstractmethod
-3175    def mode(self) -> str:
-3176        pass
-3177
-3178    @property
-3179    @abstractmethod
-3180    def name(self) -> str:
-3181        pass
-3182
-3183    @abstractmethod
-3184    def close(self) -> None:
-3185        pass
-3186
-3187    @property
-3188    @abstractmethod
-3189    def closed(self) -> bool:
-3190        pass
-3191
-3192    @abstractmethod
-3193    def fileno(self) -> int:
-3194        pass
-3195
-3196    @abstractmethod
-3197    def flush(self) -> None:
-3198        pass
-3199
-3200    @abstractmethod
-3201    def isatty(self) -> bool:
-3202        pass
-3203
-3204    @abstractmethod
-3205    def read(self, n: int = -1) -> AnyStr:
-3206        pass
-3207
-3208    @abstractmethod
-3209    def readable(self) -> bool:
-3210        pass
-3211
-3212    @abstractmethod
-3213    def readline(self, limit: int = -1) -> AnyStr:
-3214        pass
-3215
-3216    @abstractmethod
-3217    def readlines(self, hint: int = -1) -> List[AnyStr]:
-3218        pass
-3219
-3220    @abstractmethod
-3221    def seek(self, offset: int, whence: int = 0) -> int:
-3222        pass
-3223
-3224    @abstractmethod
-3225    def seekable(self) -> bool:
-3226        pass
-3227
-3228    @abstractmethod
-3229    def tell(self) -> int:
-3230        pass
-3231
-3232    @abstractmethod
-3233    def truncate(self, size: int = None) -> int:
-3234        pass
-3235
-3236    @abstractmethod
-3237    def writable(self) -> bool:
-3238        pass
-3239
-3240    @abstractmethod
-3241    def write(self, s: AnyStr) -> int:
-3242        pass
-3243
-3244    @abstractmethod
-3245    def writelines(self, lines: List[AnyStr]) -> None:
-3246        pass
-3247
-3248    @abstractmethod
-3249    def __enter__(self) -> 'IO[AnyStr]':
-3250        pass
-3251
-3252    @abstractmethod
-3253    def __exit__(self, type, value, traceback) -> None:
-3254        pass
-3255
+3158
+3159class IO(Generic[AnyStr]):
+3160    """Generic base class for TextIO and BinaryIO.
+3161
+3162    This is an abstract, generic version of the return of open().
+3163
+3164    NOTE: This does not distinguish between the different possible
+3165    classes (text vs. binary, read vs. write vs. read/write,
+3166    append-only, unbuffered).  The TextIO and BinaryIO subclasses
+3167    below capture the distinctions between text vs. binary, which is
+3168    pervasive in the interface; however we currently do not offer a
+3169    way to track the other distinctions in the type system.
+3170    """
+3171
+3172    __slots__ = ()
+3173
+3174    @property
+3175    @abstractmethod
+3176    def mode(self) -> str:
+3177        pass
+3178
+3179    @property
+3180    @abstractmethod
+3181    def name(self) -> str:
+3182        pass
+3183
+3184    @abstractmethod
+3185    def close(self) -> None:
+3186        pass
+3187
+3188    @property
+3189    @abstractmethod
+3190    def closed(self) -> bool:
+3191        pass
+3192
+3193    @abstractmethod
+3194    def fileno(self) -> int:
+3195        pass
+3196
+3197    @abstractmethod
+3198    def flush(self) -> None:
+3199        pass
+3200
+3201    @abstractmethod
+3202    def isatty(self) -> bool:
+3203        pass
+3204
+3205    @abstractmethod
+3206    def read(self, n: int = -1) -> AnyStr:
+3207        pass
+3208
+3209    @abstractmethod
+3210    def readable(self) -> bool:
+3211        pass
+3212
+3213    @abstractmethod
+3214    def readline(self, limit: int = -1) -> AnyStr:
+3215        pass
+3216
+3217    @abstractmethod
+3218    def readlines(self, hint: int = -1) -> List[AnyStr]:
+3219        pass
+3220
+3221    @abstractmethod
+3222    def seek(self, offset: int, whence: int = 0) -> int:
+3223        pass
+3224
+3225    @abstractmethod
+3226    def seekable(self) -> bool:
+3227        pass
+3228
+3229    @abstractmethod
+3230    def tell(self) -> int:
+3231        pass
+3232
+3233    @abstractmethod
+3234    def truncate(self, size: int = None) -> int:
+3235        pass
+3236
+3237    @abstractmethod
+3238    def writable(self) -> bool:
+3239        pass
+3240
+3241    @abstractmethod
+3242    def write(self, s: AnyStr) -> int:
+3243        pass
+3244
+3245    @abstractmethod
+3246    def writelines(self, lines: List[AnyStr]) -> None:
+3247        pass
+3248
+3249    @abstractmethod
+3250    def __enter__(self) -> 'IO[AnyStr]':
+3251        pass
+3252
+3253    @abstractmethod
+3254    def __exit__(self, type, value, traceback) -> None:
+3255        pass
 3256
-3257class BinaryIO(IO[bytes]):
-3258    """Typed version of the return of open() in binary mode."""
-3259
-3260    __slots__ = ()
-3261
-3262    @abstractmethod
-3263    def write(self, s: Union[bytes, bytearray]) -> int:
-3264        pass
-3265
-3266    @abstractmethod
-3267    def __enter__(self) -> 'BinaryIO':
-3268        pass
-3269
+3257
+3258class BinaryIO(IO[bytes]):
+3259    """Typed version of the return of open() in binary mode."""
+3260
+3261    __slots__ = ()
+3262
+3263    @abstractmethod
+3264    def write(self, s: Union[bytes, bytearray]) -> int:
+3265        pass
+3266
+3267    @abstractmethod
+3268    def __enter__(self) -> 'BinaryIO':
+3269        pass
 3270
-3271class TextIO(IO[str]):
-3272    """Typed version of the return of open() in text mode."""
-3273
-3274    __slots__ = ()
-3275
-3276    @property
-3277    @abstractmethod
-3278    def buffer(self) -> BinaryIO:
-3279        pass
-3280
-3281    @property
-3282    @abstractmethod
-3283    def encoding(self) -> str:
-3284        pass
-3285
-3286    @property
-3287    @abstractmethod
-3288    def errors(self) -> Optional[str]:
-3289        pass
-3290
-3291    @property
-3292    @abstractmethod
-3293    def line_buffering(self) -> bool:
-3294        pass
-3295
-3296    @property
-3297    @abstractmethod
-3298    def newlines(self) -> Any:
-3299        pass
-3300
-3301    @abstractmethod
-3302    def __enter__(self) -> 'TextIO':
-3303        pass
-3304
+3271
+3272class TextIO(IO[str]):
+3273    """Typed version of the return of open() in text mode."""
+3274
+3275    __slots__ = ()
+3276
+3277    @property
+3278    @abstractmethod
+3279    def buffer(self) -> BinaryIO:
+3280        pass
+3281
+3282    @property
+3283    @abstractmethod
+3284    def encoding(self) -> str:
+3285        pass
+3286
+3287    @property
+3288    @abstractmethod
+3289    def errors(self) -> Optional[str]:
+3290        pass
+3291
+3292    @property
+3293    @abstractmethod
+3294    def line_buffering(self) -> bool:
+3295        pass
+3296
+3297    @property
+3298    @abstractmethod
+3299    def newlines(self) -> Any:
+3300        pass
+3301
+3302    @abstractmethod
+3303    def __enter__(self) -> 'TextIO':
+3304        pass
 3305
-3306class _DeprecatedType(type):
-3307    def __getattribute__(cls, name):
-3308        if name not in {"__dict__", "__module__", "__doc__"} and name in cls.__dict__:
-3309            warnings.warn(
-3310                f"{cls.__name__} is deprecated, import directly "
-3311                f"from typing instead. {cls.__name__} will be removed "
-3312                "in Python 3.13.",
-3313                DeprecationWarning,
-3314                stacklevel=2,
-3315            )
-3316        return super().__getattribute__(name)
-3317
+3306
+3307class _DeprecatedType(type):
+3308    def __getattribute__(cls, name):
+3309        if name not in {"__dict__", "__module__", "__doc__"} and name in cls.__dict__:
+3310            warnings.warn(
+3311                f"{cls.__name__} is deprecated, import directly "
+3312                f"from typing instead. {cls.__name__} will be removed "
+3313                "in Python 3.13.",
+3314                DeprecationWarning,
+3315                stacklevel=2,
+3316            )
+3317        return super().__getattribute__(name)
 3318
-3319class io(metaclass=_DeprecatedType):
-3320    """Wrapper namespace for IO generic classes."""
-3321
-3322    __all__ = ['IO', 'TextIO', 'BinaryIO']
-3323    IO = IO
-3324    TextIO = TextIO
-3325    BinaryIO = BinaryIO
-3326
+3319
+3320class io(metaclass=_DeprecatedType):
+3321    """Wrapper namespace for IO generic classes."""
+3322
+3323    __all__ = ['IO', 'TextIO', 'BinaryIO']
+3324    IO = IO
+3325    TextIO = TextIO
+3326    BinaryIO = BinaryIO
 3327
-3328io.__name__ = __name__ + '.io'
-3329sys.modules[io.__name__] = io
-3330
-3331Pattern = _alias(stdlib_re.Pattern, 1)
-3332Match = _alias(stdlib_re.Match, 1)
-3333
-3334class re(metaclass=_DeprecatedType):
-3335    """Wrapper namespace for re type aliases."""
-3336
-3337    __all__ = ['Pattern', 'Match']
-3338    Pattern = Pattern
-3339    Match = Match
-3340
+3328
+3329io.__name__ = __name__ + '.io'
+3330sys.modules[io.__name__] = io
+3331
+3332Pattern = _alias(stdlib_re.Pattern, 1)
+3333Match = _alias(stdlib_re.Match, 1)
+3334
+3335class re(metaclass=_DeprecatedType):
+3336    """Wrapper namespace for re type aliases."""
+3337
+3338    __all__ = ['Pattern', 'Match']
+3339    Pattern = Pattern
+3340    Match = Match
 3341
-3342re.__name__ = __name__ + '.re'
-3343sys.modules[re.__name__] = re
-3344
+3342
+3343re.__name__ = __name__ + '.re'
+3344sys.modules[re.__name__] = re
 3345
-3346def reveal_type[T](obj: T, /) -> T:
-3347    """Ask a static type checker to reveal the inferred type of an expression.
-3348
-3349    When a static type checker encounters a call to ``reveal_type()``,
-3350    it will emit the inferred type of the argument::
-3351
-3352        x: int = 1
-3353        reveal_type(x)
-3354
-3355    Running a static type checker (e.g., mypy) on this example
-3356    will produce output similar to 'Revealed type is "builtins.int"'.
-3357
-3358    At runtime, the function prints the runtime type of the
-3359    argument and returns the argument unchanged.
-3360    """
-3361    print(f"Runtime type is {type(obj).__name__!r}", file=sys.stderr)
-3362    return obj
-3363
+3346
+3347def reveal_type[T](obj: T, /) -> T:
+3348    """Ask a static type checker to reveal the inferred type of an expression.
+3349
+3350    When a static type checker encounters a call to ``reveal_type()``,
+3351    it will emit the inferred type of the argument::
+3352
+3353        x: int = 1
+3354        reveal_type(x)
+3355
+3356    Running a static type checker (e.g., mypy) on this example
+3357    will produce output similar to 'Revealed type is "builtins.int"'.
+3358
+3359    At runtime, the function prints the runtime type of the
+3360    argument and returns the argument unchanged.
+3361    """
+3362    print(f"Runtime type is {type(obj).__name__!r}", file=sys.stderr)
+3363    return obj
 3364
-3365class _IdentityCallable(Protocol):
-3366    def __call__[T](self, arg: T, /) -> T:
-3367        ...
-3368
+3365
+3366class _IdentityCallable(Protocol):
+3367    def __call__[T](self, arg: T, /) -> T:
+3368        ...
 3369
-3370def dataclass_transform(
-3371    *,
-3372    eq_default: bool = True,
-3373    order_default: bool = False,
-3374    kw_only_default: bool = False,
-3375    frozen_default: bool = False,
-3376    field_specifiers: tuple[type[Any] | Callable[..., Any], ...] = (),
-3377    **kwargs: Any,
-3378) -> _IdentityCallable:
-3379    """Decorator to mark an object as providing dataclass-like behaviour.
-3380
-3381    The decorator can be applied to a function, class, or metaclass.
-3382
-3383    Example usage with a decorator function::
-3384
-3385        @dataclass_transform()
-3386        def create_model[T](cls: type[T]) -> type[T]:
-3387            ...
-3388            return cls
-3389
-3390        @create_model
-3391        class CustomerModel:
-3392            id: int
-3393            name: str
-3394
-3395    On a base class::
-3396
-3397        @dataclass_transform()
-3398        class ModelBase: ...
-3399
-3400        class CustomerModel(ModelBase):
-3401            id: int
-3402            name: str
-3403
-3404    On a metaclass::
-3405
-3406        @dataclass_transform()
-3407        class ModelMeta(type): ...
-3408
-3409        class ModelBase(metaclass=ModelMeta): ...
-3410
-3411        class CustomerModel(ModelBase):
-3412            id: int
-3413            name: str
-3414
-3415    The ``CustomerModel`` classes defined above will
-3416    be treated by type checkers similarly to classes created with
-3417    ``@dataclasses.dataclass``.
-3418    For example, type checkers will assume these classes have
-3419    ``__init__`` methods that accept ``id`` and ``name``.
-3420
-3421    The arguments to this decorator can be used to customize this behavior:
-3422    - ``eq_default`` indicates whether the ``eq`` parameter is assumed to be
-3423        ``True`` or ``False`` if it is omitted by the caller.
-3424    - ``order_default`` indicates whether the ``order`` parameter is
-3425        assumed to be True or False if it is omitted by the caller.
-3426    - ``kw_only_default`` indicates whether the ``kw_only`` parameter is
-3427        assumed to be True or False if it is omitted by the caller.
-3428    - ``frozen_default`` indicates whether the ``frozen`` parameter is
-3429        assumed to be True or False if it is omitted by the caller.
-3430    - ``field_specifiers`` specifies a static list of supported classes
-3431        or functions that describe fields, similar to ``dataclasses.field()``.
-3432    - Arbitrary other keyword arguments are accepted in order to allow for
-3433        possible future extensions.
-3434
-3435    At runtime, this decorator records its arguments in the
-3436    ``__dataclass_transform__`` attribute on the decorated object.
-3437    It has no other runtime effect.
-3438
-3439    See PEP 681 for more details.
-3440    """
-3441    def decorator(cls_or_fn):
-3442        cls_or_fn.__dataclass_transform__ = {
-3443            "eq_default": eq_default,
-3444            "order_default": order_default,
-3445            "kw_only_default": kw_only_default,
-3446            "frozen_default": frozen_default,
-3447            "field_specifiers": field_specifiers,
-3448            "kwargs": kwargs,
-3449        }
-3450        return cls_or_fn
-3451    return decorator
-3452
+3370
+3371def dataclass_transform(
+3372    *,
+3373    eq_default: bool = True,
+3374    order_default: bool = False,
+3375    kw_only_default: bool = False,
+3376    frozen_default: bool = False,
+3377    field_specifiers: tuple[type[Any] | Callable[..., Any], ...] = (),
+3378    **kwargs: Any,
+3379) -> _IdentityCallable:
+3380    """Decorator to mark an object as providing dataclass-like behaviour.
+3381
+3382    The decorator can be applied to a function, class, or metaclass.
+3383
+3384    Example usage with a decorator function::
+3385
+3386        @dataclass_transform()
+3387        def create_model[T](cls: type[T]) -> type[T]:
+3388            ...
+3389            return cls
+3390
+3391        @create_model
+3392        class CustomerModel:
+3393            id: int
+3394            name: str
+3395
+3396    On a base class::
+3397
+3398        @dataclass_transform()
+3399        class ModelBase: ...
+3400
+3401        class CustomerModel(ModelBase):
+3402            id: int
+3403            name: str
+3404
+3405    On a metaclass::
+3406
+3407        @dataclass_transform()
+3408        class ModelMeta(type): ...
+3409
+3410        class ModelBase(metaclass=ModelMeta): ...
+3411
+3412        class CustomerModel(ModelBase):
+3413            id: int
+3414            name: str
+3415
+3416    The ``CustomerModel`` classes defined above will
+3417    be treated by type checkers similarly to classes created with
+3418    ``@dataclasses.dataclass``.
+3419    For example, type checkers will assume these classes have
+3420    ``__init__`` methods that accept ``id`` and ``name``.
+3421
+3422    The arguments to this decorator can be used to customize this behavior:
+3423    - ``eq_default`` indicates whether the ``eq`` parameter is assumed to be
+3424        ``True`` or ``False`` if it is omitted by the caller.
+3425    - ``order_default`` indicates whether the ``order`` parameter is
+3426        assumed to be True or False if it is omitted by the caller.
+3427    - ``kw_only_default`` indicates whether the ``kw_only`` parameter is
+3428        assumed to be True or False if it is omitted by the caller.
+3429    - ``frozen_default`` indicates whether the ``frozen`` parameter is
+3430        assumed to be True or False if it is omitted by the caller.
+3431    - ``field_specifiers`` specifies a static list of supported classes
+3432        or functions that describe fields, similar to ``dataclasses.field()``.
+3433    - Arbitrary other keyword arguments are accepted in order to allow for
+3434        possible future extensions.
+3435
+3436    At runtime, this decorator records its arguments in the
+3437    ``__dataclass_transform__`` attribute on the decorated object.
+3438    It has no other runtime effect.
+3439
+3440    See PEP 681 for more details.
+3441    """
+3442    def decorator(cls_or_fn):
+3443        cls_or_fn.__dataclass_transform__ = {
+3444            "eq_default": eq_default,
+3445            "order_default": order_default,
+3446            "kw_only_default": kw_only_default,
+3447            "frozen_default": frozen_default,
+3448            "field_specifiers": field_specifiers,
+3449            "kwargs": kwargs,
+3450        }
+3451        return cls_or_fn
+3452    return decorator
 3453
-3454type _Func = Callable[..., Any]
-3455
+3454
+3455type _Func = Callable[..., Any]
 3456
-3457def override[F: _Func](method: F, /) -> F:
-3458    """Indicate that a method is intended to override a method in a base class.
-3459
-3460    Usage::
-3461
-3462        class Base:
-3463            def method(self) -> None:
-3464                pass
-3465
-3466        class Child(Base):
-3467            @override
-3468            def method(self) -> None:
-3469                super().method()
-3470
-3471    When this decorator is applied to a method, the type checker will
-3472    validate that it overrides a method or attribute with the same name on a
-3473    base class.  This helps prevent bugs that may occur when a base class is
-3474    changed without an equivalent change to a child class.
-3475
-3476    There is no runtime checking of this property. The decorator attempts to
-3477    set the ``__override__`` attribute to ``True`` on the decorated object to
-3478    allow runtime introspection.
-3479
-3480    See PEP 698 for details.
-3481    """
-3482    try:
-3483        method.__override__ = True
-3484    except (AttributeError, TypeError):
-3485        # Skip the attribute silently if it is not writable.
-3486        # AttributeError happens if the object has __slots__ or a
-3487        # read-only property, TypeError if it's a builtin class.
-3488        pass
-3489    return method
+3457
+3458def override[F: _Func](method: F, /) -> F:
+3459    """Indicate that a method is intended to override a method in a base class.
+3460
+3461    Usage::
+3462
+3463        class Base:
+3464            def method(self) -> None:
+3465                pass
+3466
+3467        class Child(Base):
+3468            @override
+3469            def method(self) -> None:
+3470                super().method()
+3471
+3472    When this decorator is applied to a method, the type checker will
+3473    validate that it overrides a method or attribute with the same name on a
+3474    base class.  This helps prevent bugs that may occur when a base class is
+3475    changed without an equivalent change to a child class.
+3476
+3477    There is no runtime checking of this property. The decorator attempts to
+3478    set the ``__override__`` attribute to ``True`` on the decorated object to
+3479    allow runtime introspection.
+3480
+3481    See PEP 698 for details.
+3482    """
+3483    try:
+3484        method.__override__ = True
+3485    except (AttributeError, TypeError):
+3486        # Skip the attribute silently if it is not writable.
+3487        # AttributeError happens if the object has __slots__ or a
+3488        # read-only property, TypeError if it's a builtin class.
+3489        pass
+3490    return method
diff --git a/_parse_plugins/plugins.db b/_parse_plugins/plugins.db index ffaf742b0672b59bf35463eca019bd184b7a8906..d862b5b33fa4f0c744090a9fda5a52ef21d802ed 100644 GIT binary patch delta 35 kcmZo@U~Fh$oFFZDf`Ng71&Wz~^x26z#*8O6CM>WA0EMmy2LJ#7 delta 35 kcmZo@U~Fh$oFFZDjDdlH1&Wz~^y!H@#*D`{CM>WA0EJu#0RR91 diff --git a/build/html/WARNINGS.log b/build/html/WARNINGS.log index c2a53569..182a2fac 100644 --- a/build/html/WARNINGS.log +++ b/build/html/WARNINGS.log @@ -184,10 +184,10 @@ Hands-On Example 🎓 /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/lipschitz.ipynb:51: WARNING: File not found: 'api/abc.html#pyxu.abc.LinOp' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/lipschitz.ipynb:285: WARNING: File not found: 'api/index.html' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/lipschitz.ipynb:285: WARNING: File not found: 'api/abc/arithmetic.html' -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/opt/solver/pds.py:docstring of pyxu.opt.solver.pds.ADMM:152: WARNING: Exception occurred in plotting opt-solver-3 +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/opt/solver/pds.py:docstring of pyxu.opt.solver.pds.ADMM:152: WARNING: Exception occurred in plotting opt-solver-3 from /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/api/opt.solver.rst: Traceback (most recent call last): - File "/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/matplotlib/sphinxext/plot_directive.py", line 552, in _run_code + File "/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/matplotlib/sphinxext/plot_directive.py", line 552, in _run_code exec(code, ns) File "", line 29, in TypeError: SquaredL2Norm.__init__() got an unexpected keyword argument 'dim' @@ -200,22 +200,22 @@ except ImportError as e: block source: !pip install pyxu-gradient-descent /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/examples/deblur.ipynb:278: WARNING: File not found: 'api/opt.solver.html#pyxu.opt.solver.PD3O' WARNING: missing attribute to_sciop in object pyxu.abc.LinOp -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/abc/operator.py:docstring of pyxu.abc.operator.LinOp.asarray:8: WARNING: Inline emphasis start-string without end-string. -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/abc/operator.py:docstring of pyxu.abc.operator.LinOp.asarray:8: WARNING: Inline emphasis start-string without end-string. -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/abc/operator.py:docstring of pyxu.abc.operator.LinOp.from_array:3: WARNING: Inline emphasis start-string without end-string. -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/abc/operator.py:docstring of pyxu.abc.operator.LinOp.from_array:3: WARNING: Inline emphasis start-string without end-string. -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/operator/interop/torch.py:docstring of pyxu.operator.interop.torch.from_torch:29: WARNING: Inline interpreted text or phrase reference start-string without end-string. +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/abc/operator.py:docstring of pyxu.abc.operator.LinOp.asarray:8: WARNING: Inline emphasis start-string without end-string. +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/abc/operator.py:docstring of pyxu.abc.operator.LinOp.asarray:8: WARNING: Inline emphasis start-string without end-string. +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/abc/operator.py:docstring of pyxu.abc.operator.LinOp.from_array:3: WARNING: Inline emphasis start-string without end-string. +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/abc/operator.py:docstring of pyxu.abc.operator.LinOp.from_array:3: WARNING: Inline emphasis start-string without end-string. +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/operator/interop/torch.py:docstring of pyxu.operator.interop.torch.from_torch:29: WARNING: Inline interpreted text or phrase reference start-string without end-string. WARNING: missing attribute relative_indices in object pyxu.operator.Stencil -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/operator/linop/diff.py:docstring of pyxu.operator.linop.diff.Divergence:77: WARNING: Exception occurred in plotting linop-12 +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/operator/linop/diff.py:docstring of pyxu.operator.linop.diff.Divergence:77: WARNING: Exception occurred in plotting linop-12 from /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/api/operator/linop.rst: Traceback (most recent call last): - File "/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/matplotlib/sphinxext/plot_directive.py", line 552, in _run_code + File "/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/matplotlib/sphinxext/plot_directive.py", line 552, in _run_code exec(code, ns) File "", line 14, in - File "/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/abc/operator.py", line 337, in __mul__ + File "/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/abc/operator.py", line 337, in __mul__ return arithmetic.ChainRule(lhs=self, rhs=other).op() ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ - File "/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/abc/arithmetic.py", line 991, in __init__ + File "/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/abc/arithmetic.py", line 991, in __init__ assert lhs.dim_shape == rhs.codim_shape, "Operator dimensions are not compatible." ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ AssertionError: Operator dimensions are not compatible. @@ -237,30 +237,30 @@ AssertionError: Operator dimensions are not compatible. /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/references.rst:23: WARNING: Citation [cuFINUFFT] is not referenced. /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/references.rst:25: WARNING: Citation [PoCS_Dykstra] is not referenced. /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/references.rst:29: WARNING: Citation [UQ_MCMC] is not referenced. -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/operator/interop/jax.py:docstring of pyxu.operator.interop.jax._from_jax:: WARNING: py:class reference target not found: pyxu.operator.interop.jax.JaxArray -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/operator/interop/jax.py:docstring of pyxu.operator.interop.jax._to_jax:: WARNING: py:class reference target not found: pyxu.operator.interop.jax.JaxArray -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/operator/interop/torch.py:docstring of pyxu.operator.interop.torch.from_torch:33: WARNING: py:class reference target not found: ----- -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/operator/interop/torch.py:docstring of pyxu.operator.interop.torch.from_torch:34: WARNING: py:class reference target not found: * If provided -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/operator/interop/torch.py:docstring of pyxu.operator.interop.torch.from_torch:34: WARNING: py:class reference target not found: arithmetic methods must abide exactly -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/operator/interop/torch.py:docstring of pyxu.operator.interop.torch.from_torch:34: WARNING: py:class reference target not found: the interface below -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/operator/interop/torch.py:docstring of pyxu.operator.interop.torch.from_torch:46: WARNING: py:class reference target not found: * Auto-vectorization consists in decorating `kwargs -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/operator/interop/torch.py:docstring of pyxu.operator.interop.torch.from_torch:48: WARNING: py:class reference target not found: * Arithmetic methods are **not currently JIT-ed** even if `jit -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/operator/interop/torch.py:docstring of pyxu.operator.interop.torch.from_torch:48: WARNING: py:class reference target not found: the -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/operator/interop/torch.py:docstring of pyxu.operator.interop.torch.from_torch:50: WARNING: py:class reference target not found: * For :py:class:`~pyxu.abc.DiffMap -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/operator/interop/torch.py:docstring of pyxu.operator.interop.torch.from_torch:50: WARNING: py:class reference target not found: the methods :py:meth:`~pyxu.abc.DiffMap.jacobian -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/operator/interop/torch.py:docstring of pyxu.operator.interop.torch.from_torch:57: WARNING: py:class reference target not found: . Warning:: -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/operator/linop/pad.py:docstring of pyxu.operator.linop.pad.Pad.__init__:10: WARNING: py:class reference target not found: pyxu.operator.linop.pad.Pad.WidthSpec -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/operator/linop/fft/czt.py:docstring of pyxu.operator.linop.fft.czt.CZT.__init__:6: WARNING: py:class reference target not found: list(int) -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/operator/linop/fft/czt.py:docstring of pyxu.operator.linop.fft.czt.CZT.__init__:8: WARNING: py:class reference target not found: list(complex) -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/operator/linop/fft/czt.py:docstring of pyxu.operator.linop.fft.czt.CZT.__init__:10: WARNING: py:class reference target not found: list(complex) -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/operator/linop/filter.py:docstring of pyxu.operator.linop.filter.MovingAverage:30: WARNING: py:class reference target not found: pyxu.operator.linop.filter.IndexSpec -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/operator/linop/filter.py:docstring of pyxu.operator.linop.filter.MovingAverage:76: WARNING: py:class reference target not found: pyxu.operator.GaussianFilter -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/operator/linop/diff.py:docstring of pyxu.operator.linop.diff.Hessian:62: WARNING: py:class reference target not found: (Integer -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/operator/linop/diff.py:docstring of pyxu.operator.linop.diff.Hessian:62: WARNING: py:class reference target not found: Integer) -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/operator/linop/diff.py:docstring of pyxu.operator.linop.diff.Hessian:62: WARNING: py:class reference target not found: ((Integer -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/operator/linop/diff.py:docstring of pyxu.operator.linop.diff.Hessian:62: WARNING: py:class reference target not found: Integer) -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/operator/linop/diff.py:docstring of pyxu.operator.linop.diff.Hessian:62: WARNING: py:class reference target not found: (Integer -/opt/hostedtoolcache/Python/3.12.7/x64/lib/python3.12/site-packages/pyxu/operator/linop/diff.py:docstring of pyxu.operator.linop.diff.Hessian:62: WARNING: py:class reference target not found: Integer)) +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/operator/interop/jax.py:docstring of pyxu.operator.interop.jax._from_jax:: WARNING: py:class reference target not found: pyxu.operator.interop.jax.JaxArray +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/operator/interop/jax.py:docstring of pyxu.operator.interop.jax._to_jax:: WARNING: py:class reference target not found: pyxu.operator.interop.jax.JaxArray +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/operator/interop/torch.py:docstring of pyxu.operator.interop.torch.from_torch:33: WARNING: py:class reference target not found: ----- +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/operator/interop/torch.py:docstring of pyxu.operator.interop.torch.from_torch:34: WARNING: py:class reference target not found: * If provided +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/operator/interop/torch.py:docstring of pyxu.operator.interop.torch.from_torch:34: WARNING: py:class reference target not found: arithmetic methods must abide exactly +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/operator/interop/torch.py:docstring of pyxu.operator.interop.torch.from_torch:34: WARNING: py:class reference target not found: the interface below +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/operator/interop/torch.py:docstring of pyxu.operator.interop.torch.from_torch:46: WARNING: py:class reference target not found: * Auto-vectorization consists in decorating `kwargs +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/operator/interop/torch.py:docstring of pyxu.operator.interop.torch.from_torch:48: WARNING: py:class reference target not found: * Arithmetic methods are **not currently JIT-ed** even if `jit +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/operator/interop/torch.py:docstring of pyxu.operator.interop.torch.from_torch:48: WARNING: py:class reference target not found: the +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/operator/interop/torch.py:docstring of pyxu.operator.interop.torch.from_torch:50: WARNING: py:class reference target not found: * For :py:class:`~pyxu.abc.DiffMap +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/operator/interop/torch.py:docstring of pyxu.operator.interop.torch.from_torch:50: WARNING: py:class reference target not found: the methods :py:meth:`~pyxu.abc.DiffMap.jacobian +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/operator/interop/torch.py:docstring of pyxu.operator.interop.torch.from_torch:57: WARNING: py:class reference target not found: . Warning:: +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/operator/linop/pad.py:docstring of pyxu.operator.linop.pad.Pad.__init__:10: WARNING: py:class reference target not found: pyxu.operator.linop.pad.Pad.WidthSpec +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/operator/linop/fft/czt.py:docstring of pyxu.operator.linop.fft.czt.CZT.__init__:6: WARNING: py:class reference target not found: list(int) +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/operator/linop/fft/czt.py:docstring of pyxu.operator.linop.fft.czt.CZT.__init__:8: WARNING: py:class reference target not found: list(complex) +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/operator/linop/fft/czt.py:docstring of pyxu.operator.linop.fft.czt.CZT.__init__:10: WARNING: py:class reference target not found: list(complex) +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/operator/linop/filter.py:docstring of pyxu.operator.linop.filter.MovingAverage:30: WARNING: py:class reference target not found: pyxu.operator.linop.filter.IndexSpec +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/operator/linop/filter.py:docstring of pyxu.operator.linop.filter.MovingAverage:76: WARNING: py:class reference target not found: pyxu.operator.GaussianFilter +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/operator/linop/diff.py:docstring of pyxu.operator.linop.diff.Hessian:62: WARNING: py:class reference target not found: (Integer +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/operator/linop/diff.py:docstring of pyxu.operator.linop.diff.Hessian:62: WARNING: py:class reference target not found: Integer) +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/operator/linop/diff.py:docstring of pyxu.operator.linop.diff.Hessian:62: WARNING: py:class reference target not found: ((Integer +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/operator/linop/diff.py:docstring of pyxu.operator.linop.diff.Hessian:62: WARNING: py:class reference target not found: Integer) +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/operator/linop/diff.py:docstring of pyxu.operator.linop.diff.Hessian:62: WARNING: py:class reference target not found: (Integer +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/operator/linop/diff.py:docstring of pyxu.operator.linop.diff.Hessian:62: WARNING: py:class reference target not found: Integer)) /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/examples/contributing.ipynb:42: WARNING: Lexing literal_block '!pip install pyxu-gradient-descent' as "python" resulted in an error at token: '!'. Retrying in relaxed mode. /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/examples/index.rst:46: WARNING: toctree contains reference to document 'examples/images/index' that doesn't have a title: no link will be generated /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/examples/index.rst:46: WARNING: toctree contains reference to document 'examples/images/index' that doesn't have a title: no link will be generated diff --git a/guide/diff_ops.html b/guide/diff_ops.html index af724a5a..ce616c2b 100644 --- a/guide/diff_ops.html +++ b/guide/diff_ops.html @@ -292,7 +292,7 @@

Partial Derivatives \[\mathbf{D} f [n] = f[n+1] - f[n]\]

As we will see below, this is the forward finite difference approximation. This could be implemented in matrix-form, in which case it would look like this:

-

7b421171a0994ee7856dbf035a88416a

+

58db3874bfe6456ca71d2b084382c6d3

Or, it could be instead implemented via a for loop, in which the case of large input signals, would not require storing a large matrix:

[1]:
diff --git a/plot_directive/api/abc-1.hires.png b/plot_directive/api/abc-1.hires.png
index 032999f411358ee228563465714dfa429f3424b5..c0733ac627a7aad0e6f31e4d56512fee3466e870 100644
GIT binary patch
delta 46
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delta 46
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diff --git a/plot_directive/api/abc-1.pdf b/plot_directive/api/abc-1.pdf
index a81d2e713f098619778a141db9e28a468566fbad..e43bd89feef52a877b103a8e6a1ea09404e5824b 100644
GIT binary patch
delta 32
mcmeww^EGBegchU8b-X!9Peoy-8lk_yWJ

delta 32
mcmeww^EGBegchUmH2aL?qzIDGfDygV}B5O

delta 43
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diff --git a/plot_directive/api/experimental/sampler-1_00_00.hires.png b/plot_directive/api/experimental/sampler-1_00_00.hires.png
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GIT binary patch
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diff --git a/plot_directive/api/experimental/sampler-1_00_00.pdf b/plot_directive/api/experimental/sampler-1_00_00.pdf
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