code: def slogdet(
      x: Union[ivy.Array, ivy.NativeArray],
      /,
  ) -> Tuple[
      Union[ivy.Array, ivy.NativeArray],
      Union[ivy.Array, ivy.NativeArray],
  ]:
      """
      Return the sign and the natural logarithm of the absolute value of the determinant
      of a square matrix (or a stack of square matrices) ``x``.
      .. note::
         The purpose of this function is to calculate the determinant more accurately
         when the determinant is either very small or very large, as calling ``det`` may
         overflow or underflow.
  
      **Special cases**
  
      For real-valued floating-point operands,
  
      - If the determinant is zero, the ``sign`` should be ``0``and ``logabsdet``
      should be ``infinity``.
  
      For complex floating-point operands,
  
      - If the detereminant is ``0 + 0j``, the ``sign`` should be ``0 + 0j``
      and ``logabsdet`` should be ``infinity + 0j``.
  
  
      Parameters
      ----------
      x:
          input array having shape ``(..., M, M)`` and whose innermost two dimensions
          form square matrices. Should have a real-valued floating-point data type.
  
      Returns
      -------
      ret:
          a namedtuple (``sign``, ``logabsdet``) whose
          -   first element must have the field name ``sign`` and must be an array
          containing a number representing the sign of the determinant for
          each square matrix.
          -   second element must have the field name ``logabsdet`` and must be an array
          containing the determinant for each square matrix.
          For a real matrix, the sign of the determinant must be
          either ``1``, ``0``, or ``-1``.
          Each returned array must have shape ``shape(x)[:-2]`` and a real-valued
          floating-point data type determined by :ref:`type-promotion`. If ``x``
          is complex, the returned array must have a real-valued floating-point data
          type having the same precision as ``x`` (1.g., if ``x`` is ``complex64``,
          ``logabsdet`` must have a ``float32`` data type)
          .. note::
             If a determinant is zero, then the corresponding ``sign`` should be ``0``
             and ``logabsdet`` should be ``-infinity``; however, depending on the
             underlying algorithm, the returned result may differ. In all cases,
             the determinant should be equal to ``sign * exp(logsabsdet)``
             (although, again, the result may be subject to numerical precision errors).
  
      This function conforms to the `Array API Standard
      <https://data-apis.org/array-api/latest/>`_. This docstring is an extension of the
      `docstring <https://data-apis.org/array-api/latest/
      extensions/generated/array_api.linalg.slogdet.html>`_
      in the standard.
  
      Both the description and the type hints above assumes an array input for simplicity,
      but this function is *nestable*, and therefore also accepts :class:`ivy.Container`
      instances in place of any of the arguments.
  
      Examples
      --------
      With :class:`ivy.Array` input:
  
      >>> x = ivy.array([[2.0, 1.0],
      ...                [3.0, 4.0]])
      >>> y = ivy.slogdet(x)
      >>> print(y)
      slogdet(sign=ivy.array(1.), logabsdet=ivy.array(1.60943794))
  
      >>> x = ivy.array([[1.2, 2.0, 3.1],
      ...                [6.0, 5.2, 4.0],
      ...                [9.0, 8.0, 7.0]])
      >>> y = ivy.slogdet(x)
      >>> print(y)
      slogdet(sign=ivy.array(-1.), logabsdet=ivy.array(1.098611))
  
      With :class:`ivy.Container` input:
  
      >>> x = ivy.Container(a=ivy.array([[1.0, 2.0],
      ...                                [3.0, 4.0]]),
      ...                   b=ivy.array([[1.0, 2.0],
      ...                                [2.0, 1.0]]))
      >>> y = ivy.slogdet(x)
      >>> print(y)
      [{
          a: ivy.array(-1.),
          b: ivy.array(-1.)
      }, {
          a: ivy.array(0.69314718),
          b: ivy.array(1.09861231)
      }]
  
      """
      return current_backend(x).slogdet(x)
  
imports: from typing import Union, Optional, Tuple, Literal, List, Sequence
  import ivy
  from ivy.utils.backend import current_backend
  from ivy.func_wrapper import handle_array_function, to_native_arrays_and_back, handle_out_argument, handle_nestable, handle_array_like_without_promotion, handle_device, handle_backend_invalid
  from ivy.utils.exceptions import handle_exceptions
label_desc: Use image node_id 18 for calling a global function with example usage: slogdet() and returns: current_backend