class_docstr: This is a lightweight stateless class that bundles together instantiation utils.
  It is used both on its own and as a mixin to AxClient, with the intent that
  these methods can be overridden by its subclasses for specific use cases.
class_docstr_tok: ["This","is","a","lightweight","stateless","class","that","bundles","together","instantiation","utils",".","It","is","used","both","on","its","own","and","as","a","mixin","to","AxClient",",","with","the","intent","that","these","methods","can","be","overridden","by","its","subclasses","for","specific","use","cases","."]
code: def _to_parameter_type(
      cls,
      vals: List[TParamValue],
      typ: Optional[str],
      param_name: str,
      field_name: str,
  ) -> ParameterType:
      if typ is None:
          typ = type(not_none(vals[0]))
          parameter_type = cls._get_parameter_type(
              typ
          )  # pyre-ignore[6]
          assert all(isinstance(x, typ) for x in vals), (
              f"Values in `{field_name}` not of the same type and no "
              "`value_type` was explicitly specified; cannot infer "
              f"value type for parameter {param_name}."
          )
          logger.info(
              f"Inferred value type of {parameter_type} for parameter {param_name}. "
              "If that is not the expected value type, you can explicitly specify "
              "'value_type' ('int', 'float', 'bool' or 'str') in parameter dict."
          )
          return parameter_type
      return cls._get_parameter_type(PARAM_TYPES[typ])
  
imports: import enum
  from dataclasses import dataclass
  from logging import Logger
  from typing import Any, Dict, List, Optional, Sequence, Type, Union
  from ax.core.arm import Arm
  from ax.core.experiment import DataType, DEFAULT_OBJECTIVE_NAME, Experiment
  from ax.core.map_metric import MapMetric
  from ax.core.metric import Metric
  from ax.core.objective import MultiObjective, Objective
  from ax.core.observation import ObservationFeatures
  from ax.core.optimization_config import MultiObjectiveOptimizationConfig, ObjectiveThreshold, OptimizationConfig
  from ax.core.outcome_constraint import OutcomeConstraint
  from ax.core.parameter import ChoiceParameter, FixedParameter, Parameter, PARAMETER_PYTHON_TYPE_MAP, ParameterType, RangeParameter, TParameterType
  from ax.core.parameter_constraint import OrderConstraint, ParameterConstraint
  from ax.core.search_space import HierarchicalSearchSpace, SearchSpace
  from ax.core.types import ComparisonOp, TParameterization, TParamValue
  from ax.exceptions.core import UnsupportedError
  from ax.utils.common.constants import Keys
  from ax.utils.common.logger import get_logger
  from ax.utils.common.typeutils import checked_cast, checked_cast_optional, checked_cast_to_tuple, not_none
label_desc: Use image node_id 4 for calling the InstantiationBase obj's underlying member method code with example usage: obj._to_parameter_type(cls, vals, typ, param_name, field_name) and returns: cls, parameter_type