code: def _operator(evaluate, precedence, init_params):
      check_fun_has_params(evaluate)
  
      # If the parameter initialization function is not provided, then
      # assume that the operator has no parameters
      if init_params is None:
  
          def init_params(*args, **kwargs):
              return None
  
      # Verify that the init_params function does not have defaults, as they are inherited from
      # the operator function, so they are not needed and can cause ambiguity
      sig_init_params = inspect.signature(init_params)
      defaults = {
          k: v.default
          for k, v in sig_init_params.parameters.items()
          if v.default is not inspect.Parameter.empty
      }
      if len(defaults) > 0:
          raise SignatureError(
              f"The init_params function {init_params.__name__} must not have default values, as they are inherited from the operator function {evaluate.__name__}. The init_params function has the following default values: {defaults}"
          )
  
      # Check that the init_params function is compatible with the evaluate function
      check_eval_init_signatures(evaluate, init_params)
  
      # Create the operator function
      @wraps(evaluate)
      def wrapper(*args, **kwargs):
          # Check if the parameters are not passed
          if "params" not in kwargs:
              # Generate them
              kwargs = add_defaults(evaluate, kwargs, skip=["params"])
              kwargs["params"] = init_params(*args, **kwargs)
  
          # Log dispatch message
          logger.debug(
              f"Dispatching {evaluate.__name__} with for types {evaluate.__annotations__}"
          )
  
          outs = evaluate(*args, **kwargs)
          if isinstance(outs, tuple) and len(outs) > 1:
              logger.warning(
                  f"Deprecation: Currently only the first output of an operator is considered. This will change in a future release. If you need to return multiple outputs, please return a tuple and a None value, for example: ((out1, out2), None). This happened for the operator `{evaluate.__name__}`."
              )
              # Overload the field class with an extra attribute
              field = outs[0]
          else:
              field = outs
  
          return field
  
      # Adds the parameters initializer to the functin wrapper
      wrapper._initialize_parameters = init_params
  
      # Register the operator in the dispatch table
      logger.debug(
          f"Registering {evaluate.__name__} with precedence {precedence}"
      )
      f = _jaxdf_dispatch(wrapper, precedence=precedence)
  
      # Bind an default_params method that returns the default parameters
      def _bound_init_params(self, *args, **kwargs):
          # the method is resolved only on non-keyword arguments,
          # see: https://github.com/wesselb/plum/issues/40#issuecomment-1321164488
          self._resolve_pending_registrations()
          # sig_types = tuple(map(type, args))
  
          method, _ = self.resolve_method(args)
          kwargs = add_defaults(method, kwargs, skip=["params"])
          return method._initialize_parameters(*args, **kwargs)
  
      f.default_params = types.MethodType(_bound_init_params, f)
  
      return f
  
imports: import inspect
  import logging
  import types
  import warnings
  from functools import wraps
  from typing import Callable, Union
  from warnings import warn
  from jaxtyping import PyTree
  from plum import Dispatcher
  from jaxdf.signatures import SignatureError, add_defaults, check_eval_init_signatures, check_fun_has_params
  from .geometry import Domain
  from .logger import logger, set_logging_level
  from .mods import Module
label_desc: Use image node_id 2 for calling a global function with example usage: _operator(evaluate, precedence, init_params) and returns: f, field, method, None