code: def test_calendar_time_trend_smoke(time_index, forecast_index):
      ct = CalendarTimeTrend(YEAR_END, order=2)
      ct.in_sample(time_index)
      steps = 83 if forecast_index is None else len(forecast_index)
      ct.out_of_sample(steps, time_index, forecast_index)
      str(ct)
      hash(ct)
      assert isinstance(ct.order, int)
      assert isinstance(ct.constant, bool)
      assert isinstance(ct.freq, str)
      assert ct.base_period is None
  
imports: from statsmodels.compat.pandas import MONTH_END, PD_LT_1_0_0, QUARTER_END, YEAR_END, is_int_index
  from statsmodels.compat.pytest import pytest_warns
  from collections.abc import Hashable
  import numpy
  import pandas
  import pytest
  from statsmodels.tsa.deterministic import CalendarFourier, CalendarSeasonality, CalendarTimeTrend, DeterministicProcess, DeterministicTerm, Fourier, Seasonality, TimeTrend
label_desc: Use image node_id 7 for calling a global function with example usage: test_calendar_time_trend_smoke(time_index, forecast_index) without return types