compared.
        check_stride (bool): If ``True`` and corresponding tensors are strided, asserts that they have the same stride.
        msg (Optional[Union[str, Callable[[str], str]]]): Optional error message to use in case a failure occurs during
            the comparison. Can also passed as callable in which case it will be called with the generated message and
            should return the new message.

    Raises:
        ValueError: If no :class:`torch.Tensor` can be constructed from an input.
        ValueError: If only ``rtol`` or ``atol`` is specified.
        AssertionError: If corresponding inputs are not Python scalars and are not directly related.
        AssertionError: If ``allow_subclasses`` is ``False``, but corresponding inputs are not Python scalars and have
            different types.
        AssertionError: If the inputs are :class:`~collections.abc.Sequence`'s, but their length does not match.
        AssertionError: If the inputs are :class:`~collections.abc.Mapping`'s, but their set of keys do not match.
        AssertionError: If corresponding tensors do not have the same :attr:`~torch.Tensor.shape`.
        AssertionError: If ``check_layout`` is ``True``, but corresponding tensors do not have the same
            :attr:`~torch.Tensor.layout`.
        AssertionError: If only one of corresponding tensors is quantized.
        AssertionError: If corresponding tensors are quantized, but have different :meth:`~torch.Tensor.qscheme`'s.
        AssertionError: If ``check_device`` is ``True``, but corresponding tensors are not on the same
            :attr:`~torch.Tensor.device`.
        AssertionError: If ``check_dtype`` is ``True``, but corresponding tensors do not have the same ``dtype``.
        AssertionError: If ``check_stride`` is ``True``, but corresponding strided tensors do not have the same stride.
        AssertionError: If the values of corresponding tensors are not close according to the definition above.

    The following table displays the default ``rtol`` and ``atol`` for different ``dtype``'s. In case of mismatching
    ``dtype``'s, the maximum of both tolerances is used.

    +---------------------------+------------+----------+
    | ``dtype``                 | ``rtol``   | ``atol`` |
    +===========================+============+==========+
    | :attr:`~torch.float16`    | ``1e-3``   | ``1e-5`` |
    +---------------------------+------------+----------+
    | :attr:`~torch.bfloat16`   | ``1.6e-2`` | ``1e-5`` |
    +---------------------------+------------+----------+
    | :attr:`~torch.float32`    | ``1.3e-6`` | ``1e-5`` |
    +---------------------------+------------+----------+
    | :attr:`~torch.float64`    | ``1e-7``   | ``1e-7`` |
    +---------------------------+------------+----------+
    | :attr:`~torch.complex32`  | ``1e-3``   | ``1e-5`` |
    +---------------------------+------------+----------+
    | :attr:`~torch.complex64`  | ``1.3e-6`` | ``1e-5`` |
    +---------------------------+------------+----------+
    | :attr:`~torch.complex128` | ``1e-7``   | ``1e-7`` |
    +---------------------------+------------+----------+
    | :attr:`~torch.quint8`     | ``1.3e-6`` | ``1e-5`` |
    +---------------------------+------------+----------+
    | :attr:`~torch.quint2x4`   | ``1.3e-6`` | ``1e-5`` |
    +---------------------------+------------+----------+
    | :attr:`~torch.quint4x2`   | ``1.3e-6`` | ``1e-5`` |
    +---------------------------+------------+----------+
    | :attr:`~torch.qint8`      | ``1.3e-6`` | ``1e-5`` |
    +---------------------------+------------+----------+
    | :attr:`~torch.qint32`     | ``1.3e-6`` | ``1e-5`` |
    +---------------------------+------------+----------+
    | other                     | ``0.0``    | ``0.0``  |
    +---------------------------+------------+----------+

    .. note::

        :func:`~torch.testing.assert_close` is highly configurable with strict default settings. Users are encouraged
        to :func:`~functools.partial` it to fit their use case. For example, if an equality check is needed, one might
        define an ``assert_equal`` that uses zero tolerances for every ``dtype`` by default:

        >>> import functools
        >>> assert_equal = functools.partial(torch.testing.assert_close, rtol=0, atol=0)
        >>> assert_equal(1e-9, 1e-10)
        Traceback (most recent call last):
        ...
        AssertionError: Scalars are not equal!
        <BLANKLINE>
        Expected 1e-10 but got 1e-09.
        Absolute difference: 9.000000000000001e-10
        Relative difference: 9.0

    Examples:
        >>> # tensor to tensor comparison
        >>> expected = torch.tensor([1e0, 1e-1, 1e-2])
        >>> actual = torch.acos(torch.cos(expected))
        >>> torch.testing.assert_close(actual, expected)

        >>> # scalar to scalar comparison
        >>> import math
        >>> expected = math.sqrt(2.0)
        >>> actual = 2.0 / math.sqrt(2.0)
        >>> torch.testing.assert_close(actual, expected)

        >>> # numpy array to numpy array comparison
        >>> import numpy as np
        >>> expected = np.array([1e0, 1e-1, 1e-2])
        >>> actual = np.arccos(np.cos(expected))
        >>> torch.testing.assert_close(actual, expected)

        >>> # sequence to sequence comparison
        >>> import numpy as np
        >>> # The types of the sequences do not have to match. They only have to have the same
        >>> # length and their elements have to match.
        >>> expected = [torch.tensor([1.0]), 2.0, np.array(3.0)]
        >>> actual = tuple(expected)
        >>> torch.testing.assert_close(actual, expected)

        >>> # mapping to mapping comparison
        >>> from collections import OrderedDict
        >>> import numpy as np
        >>> foo = torch.tensor(1.0)
        >>> bar = 2.0
        >>> baz = np.array(3.0)
        >>> # The types and a possible ordering of mappings do not have to match. They only
        >>> # have to have the same set of keys and their elements have to match.
        >>> expected = OrderedDict([("foo", foo), ("bar", bar), ("baz", baz)])
        >>> actual = {"baz": baz, "bar": bar, "foo": foo}
        >>> torch.testing.assert_close(actual, expected)

        >>> expected = torch.tensor([1.0, 2.0, 3.0])
        >>> actual = expected.clone()
        >>> # By default, directly related instances can be compared
        >>> torch.testing.assert_close(torch.nn.Parameter(actual), expected)
        >>> # This check can be made more strict with allow_subclasses=False
        >>> torch.testing.assert_close(
        ...     torch.nn.Parameter(actual), expected, allow_subclasses=False
        ... )
        Traceback (most recent call last):
        ...
        TypeError: No comparison pair was able to handle inputs of type
        <class 'torch.nn.parameter.Parameter'> and <class 'torch.Tensor'>.
        >>> # If the inputs are not directly related, they are never considered close
        >>> torch.testing.assert_close(actual.numpy(), expected)
        Traceback (most recent call last):
        ...
        TypeError: No comparison pair was able to handle inputs of type <class 'numpy.ndarray'>
        and <class 'torch.Tensor'>.
        >>> # Exceptions to these rules are Python scalars. They can be checked regardless of
        >>> # their type if check_dtype=False.
        >>> torch.testing.assert_close(1.0, 1, check_dtype=False)

        >>> # NaN != NaN by default.
        >>> expected = torch.tensor(float("Nan"))
        >>> actual = expected.clone()
        >>> torch.testing.assert_close(actual, expected)
        Traceback (most recent call last):
        ...
        AssertionError: Scalars are not close!
        <BLANKLINE>
        Expected nan but got nan.
        Absolute difference: nan (up to 1e-05 allowed)
        Relative difference: nan (up to 1.3e-06 allowed)
        >>> torch.testing.assert_close(actual, expected, equal_nan=True)

        >>> expected = torch.tensor([1.0, 2.0, 3.0])
        >>> actual = torch.tensor([1.0, 4.0, 5.0])
        >>> # The default error message can be overwritten.
        >>> torch.testing.assert_close(actual, expected, msg="Argh, the tensors are not close!")
        Traceback (most recent call last):
        ...
        AssertionError: Argh, the tensors are not close!
        >>> # If msg is a callable, it can be used to augment the generated message with
        >>> # extra information
        >>> torch.testing.assert_close(
        ...     actual, expected, msg=lambda msg: f"Header\n\n{msg}\n\nFooter"
        ... )
        Traceback (most recent call last):
        ...
        AssertionError: Header
        <BLANKLINE>
        Tensor-likes are not close!
        <BLANKLINE>
        Mismatched elements: 2 / 3 (66.7%)
        Greatest absolute difference: 2.0 at index (1,) (up to 1e-05 allowed)
        Greatest relative difference: 1.0 at index (1,) (up to 1.3e-06 allowed)
        <BLANKLINE>
        Footer
    T)
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