code: def test_prediction_rangeindex():
      index = supported_increment_indexes[2][0]
      endog = pd.Series(dta[0], index=index)
      mod = tsa_model.TimeSeriesModel(endog)
  
      # Tests three common use cases: basic prediction, negative indexes, and
      # out-of-sample indexes.
  
      # Basic prediction: [0, end]
      start_key = 0
      end_key = None
      (
          start,
          end,
          out_of_sample,
          prediction_index,
      ) = mod._get_prediction_index(start_key, end_key)
  
      assert_equal(start, 0)
      assert_equal(end, nobs - 1)
      assert_equal(out_of_sample, 0)
      desired_index = pd.RangeIndex(start=-5, stop=0, step=1)
      assert_equal(prediction_index.equals(desired_index), True)
  
      # Negative index: [-2, end]
      start_key = -2
      end_key = -1
      (
          start,
          end,
          out_of_sample,
          prediction_index,
      ) = mod._get_prediction_index(start_key, end_key)
  
      assert_equal(start, 3)
      assert_equal(end, 4)
      assert_equal(out_of_sample, 0)
      desired_index = pd.RangeIndex(start=-2, stop=0, step=1)
      assert_equal(prediction_index.equals(desired_index), True)
  
      # Forecasting: [1, 5]
      start_key = 1
      end_key = nobs
      (
          start,
          end,
          out_of_sample,
          prediction_index,
      ) = mod._get_prediction_index(start_key, end_key)
  
      assert_equal(start, 1)
      assert_equal(end, 4)
      assert_equal(out_of_sample, 1)
      desired_index = pd.RangeIndex(start=-4, stop=1, step=1)
      assert_equal(prediction_index.equals(desired_index), True)
  
imports: from statsmodels.compat.pandas import PD_LT_2_2_0, YEAR_END, is_int_index
  import warnings
  import numpy
  from numpy.testing import assert_equal, assert_raises
  import pandas
  import pytest
  from statsmodels.tools.sm_exceptions import ValueWarning
  from statsmodels.tsa.base import tsa_model
label_desc: Use image node_id 9 for calling a global function with example usage: test_prediction_rangeindex() without return types