code: def to_numeric(arg, errors="raise", downcast=None):
      """
      Convert argument to a numeric type.
  
      The default return dtype is `float64` or `int64`
      depending on the data supplied. Use the `downcast` parameter
      to obtain other dtypes.
  
      Parameters
      ----------
      arg : list, tuple, 1-d array, or Series
      errors : {'ignore', 'raise', 'coerce'}, default 'raise'
          - If 'raise', then invalid parsing will raise an exception
          - If 'coerce', then invalid parsing will be set as NaN
          - If 'ignore', then invalid parsing will return the input
      downcast : {'integer', 'signed', 'unsigned', 'float'} , default None
          If not None, and if the data has been successfully cast to a
          numerical dtype (or if the data was numeric to begin with),
          downcast that resulting data to the smallest numerical dtype
          possible according to the following rules:
  
          - 'integer' or 'signed': smallest signed int dtype (min.: np.int8)
          - 'unsigned': smallest unsigned int dtype (min.: np.uint8)
          - 'float': smallest float dtype (min.: np.float32)
  
          As this behaviour is separate from the core conversion to
          numeric values, any errors raised during the downcasting
          will be surfaced regardless of the value of the 'errors' input.
  
          In addition, downcasting will only occur if the size
          of the resulting data's dtype is strictly larger than
          the dtype it is to be cast to, so if none of the dtypes
          checked satisfy that specification, no downcasting will be
          performed on the data.
  
          .. versionadded:: 0.19.0
  
      Returns
      -------
      ret : numeric if parsing succeeded.
          Return type depends on input.  Series if Series, otherwise ndarray
  
      See Also
      --------
      pandas.DataFrame.astype : Cast argument to a specified dtype.
      pandas.to_datetime : Convert argument to datetime.
      pandas.to_timedelta : Convert argument to timedelta.
      numpy.ndarray.astype : Cast a numpy array to a specified type.
  
      Examples
      --------
      Take separate series and convert to numeric, coercing when told to
  
      >>> s = pd.Series(['1.0', '2', -3])
      >>> pd.to_numeric(s)
      0    1.0
      1    2.0
      2   -3.0
      dtype: float64
      >>> pd.to_numeric(s, downcast='float')
      0    1.0
      1    2.0
      2   -3.0
      dtype: float32
      >>> pd.to_numeric(s, downcast='signed')
      0    1
      1    2
      2   -3
      dtype: int8
      >>> s = pd.Series(['apple', '1.0', '2', -3])
      >>> pd.to_numeric(s, errors='ignore')
      0    apple
      1      1.0
      2        2
      3       -3
      dtype: object
      >>> pd.to_numeric(s, errors='coerce')
      0    NaN
      1    1.0
      2    2.0
      3   -3.0
      dtype: float64
      """
      if downcast not in (
          None,
          "integer",
          "signed",
          "unsigned",
          "float",
      ):
          raise ValueError("invalid downcasting method provided")
  
      is_series = False
      is_index = False
      is_scalars = False
  
      if isinstance(arg, ABCSeries):
          is_series = True
          values = arg.values
      elif isinstance(arg, ABCIndexClass):
          is_index = True
          values = arg.asi8
          if values is None:
              values = arg.values
      elif isinstance(arg, (list, tuple)):
          values = np.array(arg, dtype="O")
      elif is_scalar(arg):
          if is_decimal(arg):
              return float(arg)
          if is_number(arg):
              return arg
          is_scalars = True
          values = np.array([arg], dtype="O")
      elif getattr(arg, "ndim", 1) > 1:
          raise TypeError(
              "arg must be a list, tuple, 1-d array, or Series"
          )
      else:
          values = arg
  
      try:
          if is_numeric_dtype(values):
              pass
          elif is_datetime_or_timedelta_dtype(values):
              values = values.astype(np.int64)
          else:
              values = ensure_object(values)
              coerce_numeric = (
                  False if errors in ("ignore", "raise") else True
              )
              values = lib.maybe_convert_numeric(
                  values, set(), coerce_numeric=coerce_numeric
              )
  
      except Exception:
          if errors == "raise":
              raise
  
      # attempt downcast only if the data has been successfully converted
      # to a numerical dtype and if a downcast method has been specified
      if downcast is not None and is_numeric_dtype(values):
          typecodes = None
  
          if downcast in ("integer", "signed"):
              typecodes = np.typecodes["Integer"]
          elif downcast == "unsigned" and np.min(values) >= 0:
              typecodes = np.typecodes["UnsignedInteger"]
          elif downcast == "float":
              typecodes = np.typecodes["Float"]
  
              # pandas support goes only to np.float32,
              # as float dtypes smaller than that are
              # extremely rare and not well supported
              float_32_char = np.dtype(np.float32).char
              float_32_ind = typecodes.index(float_32_char)
              typecodes = typecodes[float_32_ind:]
  
          if typecodes is not None:
              # from smallest to largest
              for dtype in typecodes:
                  if np.dtype(dtype).itemsize <= values.dtype.itemsize:
                      values = maybe_downcast_to_dtype(values, dtype)
  
                      # successful conversion
                      if values.dtype == dtype:
                          break
  
      if is_series:
          return pd.Series(values, index=arg.index, name=arg.name)
      elif is_index:
          # because we want to coerce to numeric if possible,
          # do not use _shallow_copy_with_infer
          return pd.Index(values, name=arg.name)
      elif is_scalars:
          return values[0]
      else:
          return values
  
imports: import numpy
  from pandas._libs import lib
  from pandas.core.dtypes.cast import maybe_downcast_to_dtype
  from pandas.core.dtypes.common import ensure_object, is_datetime_or_timedelta_dtype, is_decimal, is_number, is_numeric_dtype, is_scalar
  from pandas.core.dtypes.generic import ABCIndexClass, ABCSeries
  import pandas
label_desc: Use image node_id 1 for calling a global function with example usage: to_numeric(arg, errors, downcast) and returns: pd, pd, values, values, float, arg