code: def test_misc():
      # Create the model and simulation smoother
      dta = datasets.macrodata.load_pandas().data
      dta.index = pd.date_range(
          start="1959-01-01", end="2009-7-01", freq="QS"
      )
      obs = (
          np.log(dta[["realgdp", "realcons", "realinv"]])
          .diff()
          .iloc[1:]
      )
  
      mod = sarimax.SARIMAX(obs["realgdp"], order=(1, 0, 0))
      mod["design", 0, 0] = 0.0
      mod["obs_cov", 0, 0] = 1.0
      mod.update(np.r_[1.0, 1.0])
      sim = mod.simulation_smoother()
  
      # Test that the simulation smoother is drawing variates correctly
      rs = np.random.RandomState(1234)
      n_disturbance_variates = mod.nobs * (mod.k_endog + mod.k_states)
      variates = rs.normal(size=n_disturbance_variates)
      rs = np.random.RandomState(1234)
      sim.simulate(random_state=rs)
      assert_allclose(
          sim.generated_measurement_disturbance[:, 0],
          variates[: mod.nobs],
      )
      assert_allclose(
          sim.generated_state_disturbance[:, 0], variates[mod.nobs :]
      )
  
      # Test that we can change the options of the simulations smoother
      assert_equal(sim.simulation_output, mod.ssm.smoother_output)
      sim.simulation_output = 0
      assert_equal(sim.simulation_output, 0)
  
      sim.simulate_state = True
      assert_equal(sim.simulation_output, SIMULATION_STATE)
      sim.simulate_state = False
      assert_equal(sim.simulation_output, 0)
  
      sim.simulate_disturbance = True
      assert_equal(sim.simulation_output, SIMULATION_DISTURBANCE)
      sim.simulate_disturbance = False
      assert_equal(sim.simulation_output, 0)
  
      sim.simulate_all = True
      assert_equal(sim.simulation_output, SIMULATION_ALL)
      sim.simulate_all = False
      assert_equal(sim.simulation_output, 0)
  
imports: import os
  import numpy
  import pandas
  from numpy.testing import assert_allclose, assert_equal
  import pytest
  from statsmodels import datasets
  from statsmodels.tsa.statespace import mlemodel, sarimax, structural, varmax
  from statsmodels.tsa.statespace.simulation_smoother import SIMULATION_STATE, SIMULATION_DISTURBANCE, SIMULATION_ALL
label_desc: Use image node_id 1 for calling a global function with example usage: test_misc() without return types