code: def convert_function_input(input):
      """
      Upgrade a input shortcut to an In instance.
  
      The rules for upgrading are as follows:
  
      - a `Variable` instance r will be upgraded like `In`(r)
  
      - a tuple (name, r) will be `In`(r, name=name)
  
      - a tuple (r, val) will be `In`(r, value=value, autoname=True)
  
      - a tuple ((r,up), val) will be
        `In`(r, value=value, update=up, autoname=True)
  
      - a tuple (name, r, val) will be `In`(r, name=name, value=value)
  
      - a tuple (name, (r,up), val) will be
        `In`(r, name=name, value=val, update=up, autoname=True)
  
      """
      if isinstance(input, SymbolicInput):
          return input
      elif isinstance(input, Constant):
          raise TypeError(
              f"A Constant instance is not a legal function input: {input}"
          )
      elif isinstance(input, Variable):
          return In(input)
      elif isinstance(input, (list, tuple)):
          orig = input
          if not input:
              raise TypeError(
                  f"Nonsensical input specification: {input}"
              )
          if isinstance(input[0], str):
              name = input[0]
              input = input[1:]
          else:
              name = None
          if isinstance(input[0], (list, tuple)):
              if len(input[0]) != 2 or len(input) != 2:
                  raise TypeError(
                      f"Invalid input syntax: {orig} (check "
                      "documentation or use an In instance)"
                  )
              (variable, update), value = input
          elif isinstance(input[0], Variable):
              if len(input) == 1:
                  variable, update, value = input[0], None, None
              elif len(input) == 2:
                  (variable, value), update = input, None
              else:
                  raise TypeError(
                      f"Invalid input syntax: {orig} (check "
                      "documentation or use an In instance)"
                  )
          elif isinstance(input[0], SymbolicInput):
              if len(input) == 1:
                  return input[0]
              elif len(input) == 2:
                  input, value = input
                  if name is not None:
                      input.name = name
                  input.value = value
                  return input
          else:
              raise TypeError(
                  f"The input specification is not valid: {input}"
              )
  
          if not isinstance(variable, Variable):
              raise TypeError(
                  f"Unknown input type: {type(variable)}, expected Variable instance"
              )
          if update is not None and not isinstance(update, Variable):
              raise TypeError(
                  f"Unknown update type: {type(update)}, expected Variable instance"
              )
          if value is not None and isinstance(
              value, (Variable, SymbolicInput)
          ):
              raise TypeError(
                  f"The value for input {variable} should not be a Variable "
                  f"or SymbolicInput instance (got: {value})"
              )
  
          return In(variable, name=name, value=value, update=update)
      else:
          raise TypeError(
              f"Unknown input type: {type(input)}, expected Variable instance"
          )
  
imports: import copy
  import copyreg
  import logging
  import time
  import warnings
  from itertools import chain
  from typing import TYPE_CHECKING, Optional
  import numpy
  import pytensor
  import pytensor.compile.profiling
  from pytensor.compile.io import In, SymbolicInput, SymbolicOutput
  from pytensor.compile.ops import deep_copy_op, view_op
  from pytensor.configdefaults import config
  from pytensor.graph.basic import Constant, Variable, ancestors, clone_get_equiv, graph_inputs
  from pytensor.graph.destroyhandler import DestroyHandler
  from pytensor.graph.features import AlreadyThere, Feature, PreserveVariableAttributes
  from pytensor.graph.fg import FunctionGraph
  from pytensor.graph.op import HasInnerGraph
  from pytensor.graph.utils import InconsistencyError, get_variable_trace_string
  from pytensor.link.basic import Container
  from pytensor.link.utils import raise_with_op
label_desc: Use image node_id 10 for calling a global function with example usage: convert_function_input(input) and returns: input, In, In, input, input