code: def typify_variables(
      variable_definitions: Iterable[VariableDefinition],
  ) -> tuple[list[FieldVariable], list[Variable]]:
      primary_variables: list[FieldVariable] = []
      all_variables: list[Variable] = []
      only_custom = True
  
      for definition in variable_definitions:
          try:
              variable_type = definition["type"]
          except TypeError:
              raise TypeError(
                  "Incorrect variable specification: variable "
                  "specifications are dictionaries that must "
                  "include a type definition, ex. "
                  "{'field' : 'Phone', type: 'String'}"
              )
          except KeyError:
              raise KeyError(
                  "Missing variable type: variable "
                  "specifications are dictionaries that must "
                  "include a type definition, ex. "
                  "{'field' : 'Phone', type: 'String'}"
              )
  
          if variable_type != "Custom":
              only_custom = False
  
          if variable_type == "Interaction":
              continue
  
          if (
              variable_type == "FuzzyCategorical"
              and "other fields" not in definition
          ):
              definition["other fields"] = [  # type: ignore
                  d["field"]
                  for d in variable_definitions
                  if (
                      "field" in d and d["field"] != definition["field"]
                  )
              ]
  
          try:
              variable_class = VARIABLE_CLASSES[variable_type]
          except KeyError:
              raise KeyError(
                  "Field type %s not valid. Valid types include %s"
                  % (definition["type"], ", ".join(VARIABLE_CLASSES))
              )
  
          variable_object = variable_class(definition)
          assert isinstance(variable_object, FieldVariable)
  
          primary_variables.append(variable_object)
  
          if hasattr(variable_object, "higher_vars"):
              all_variables.extend(variable_object.higher_vars)
          else:
              variable_object = cast(Variable, variable_object)
              all_variables.append(variable_object)
  
      if only_custom:
          raise ValueError(
              "At least one of the variable types needs to be a type"
              "other than 'Custom'. 'Custom' types have no associated"
              "blocking rules"
          )
  
      return primary_variables, all_variables
  
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 1 for calling a global function with example usage: typify_variables(variable_definitions) and returns: primary_variables,  all_variables