code: def test_aparch_exceptions(setup):
      with pytest.raises(
          ValueError, match="delta must be between 0.05"
      ):
          APARCH(delta=0.0)
      with pytest.raises(
          ValueError, match="delta must be between 0.05"
      ):
          APARCH(delta=4.1)
      with pytest.raises(TypeError, match="delta must be convertible"):
          APARCH(delta="a")
      with pytest.raises(ValueError, match="All lags lengths must be"):
          APARCH(p=0)
      with pytest.raises(ValueError, match="o must be <= p"):
          APARCH(p=1, o=2)
  
imports: import types
  from typing import NamedTuple
  import warnings
  import numpy
  from numpy.random import RandomState
  from numpy.testing import assert_allclose, assert_almost_equal, assert_array_equal, assert_equal
  import pytest
  from scipy.special import gamma, gammaln
  from arch.univariate import ZeroMean
  from arch.univariate.distribution import Normal, SkewStudent, StudentsT
  import arch.univariate.recursions_python
  from arch.univariate.volatility import APARCH, ARCH, EGARCH, FIGARCH, GARCH, HARCH, ConstantVariance, EWMAVariance, FixedVariance, MIDASHyperbolic, RiskMetrics2006
  from arch.utility.exceptions import InitialValueWarning
label_desc: Use image node_id 36 for calling a global function with example usage: test_aparch_exceptions(setup) without return types