code: def index_map(
      idx,
      mapper,
      na_action=None,
      dtype=None,
      memory_scale=None,
      skip_infer=False,
  ):
      """
      Map values using input correspondence (a dict, Series, or function).
  
      Parameters
      ----------
      mapper : function, dict, or Series
          Mapping correspondence.
      na_action : {None, 'ignore'}
          If 'ignore', propagate NA values, without passing them to the
          mapping correspondence.
      dtype : np.dtype, default None
          Specify return type of the function. Must be specified when
          we cannot decide the return type of the function.
      memory_scale : float
          Specify the scale of memory uses in the function versus
          input size.
      skip_infer: bool, default False
          Whether infer dtypes when dtypes or output_type is not specified
  
  
      Returns
      -------
      applied : Union[Index, MultiIndex], inferred
          The output of the mapping function applied to the index.
          If the function returns a tuple with more than one element
          a MultiIndex will be returned.
      """
      op = DataFrameMap(
          arg=mapper, na_action=na_action, memory_scale=memory_scale
      )
      return op(idx, dtype=dtype, skip_infer=skip_infer)
  
imports: import inspect
  from collections.abc import MutableMapping
  import numpy
  import pandas
  from ...None import opcodes
  from ...core import OutputType, recursive_tile
  from ...core.custom_log import redirect_custom_log
  from ...serialization.serializables import KeyField, AnyField, StringField
  from ...utils import has_unknown_shape, enter_current_session, quiet_stdio
  from ..core import SERIES_TYPE
  from ..operands import DataFrameOperand, DataFrameOperandMixin
  from ..utils import build_series
label_desc: Use image node_id 2 for calling a global function with example usage: index_map(idx, mapper, na_action, dtype, memory_scale, skip_infer) and returns: op