code: def _get_generalized_entropy_index(
      benefits: np.array,
      alpha: float,
      use_abs_val: bool,
      error_tolerance: float = 1e-12,
  ) -> float:
      """
      Returns the general entropy index, a measure of redundancy in the data.
      https://en.wikipedia.org/wiki/Generalized_entropy_index
  
      :param benefits: The probabilities of each feature value combination
          occurring in the data.
      :type benefits: np.array
      :param alpha: A parameter which regulates the weight given to distances
          between benefits at different parts of the distribution.
      :type alpha: float
      :param use_abs_val: Whether to use the absolute value of the benefits
          or not.
      :type use_abs_val: bool
      :param error_tolerance: The error tolerance to use when calculating
          the generalized entropy index.
      :type error_tolerance: float
      :return: The generalized entropy index.
      :rtype: float
      """
      if use_abs_val:
          benefits = np.absolute(benefits)
  
      benefits_mean = np.mean(benefits)
      norm_benefits = benefits / benefits_mean
      count = norm_benefits.size
  
      if abs(alpha - 1.0) < error_tolerance:
          gei = np.sum(norm_benefits * np.log(norm_benefits)) / count
      elif abs(alpha) < error_tolerance:
          gei = np.sum(-np.log(norm_benefits)) / count
      else:
          gei = np.sum(np.power(norm_benefits, alpha) - 1.0) / (
              count * alpha * (alpha - 1.0)
          )
  
      return gei
  
file_path: responsible-ai-toolbox/responsibleai/responsibleai/databalanceanalysis/aggregate_balance_measures.py
imports: from typing import Callable, Dict, List
  import numpy
  import pandas
  from responsibleai.databalanceanalysis.balance_measures import BalanceMeasures
  from responsibleai.databalanceanalysis.constants import Measures
label_desc: Use image node_id 1 for calling a global function with example usage: _get_generalized_entropy_index(benefits, alpha, use_abs_val, error_tolerance) and returns: gei