code: def _add_derived_distances(
      self, distances: numpy.typing.NDArray[numpy.float_]
  ) -> numpy.typing.NDArray[numpy.float_]:
      current_column = self._derived_start
  
      for indices in self._interaction_indices:
          distances[:, current_column] = numpy.prod(
              distances[:, indices], axis=1
          )
          current_column += 1
  
      is_missing = numpy.isnan(distances[:, :current_column])
  
      distances[:, :current_column][is_missing] = 0
  
      if self._missing_field_indices:
          distances[:, current_column:] = (
              1 - is_missing[:, self._missing_field_indices]
          )
  
      return distances
  
imports: from __future__ import annotations
  import copyreg
  import pkgutil
  import types
  from typing import TYPE_CHECKING, cast
  import numpy
  import dedupe.variables
  from dedupe.variables.base import FieldType
  from dedupe.variables.base import MissingDataType, Variable
  from dedupe.variables.interaction import InteractionType
label_desc: Use image node_id 6 for calling the DataModel obj's underlying member method code with example usage: obj._add_derived_distances(distances) and returns: distances