code: def test_comparisons(self):
      factor = Categorical(
          ["a", "b", "b", "a", "a", "c", "c", "c"], ordered=True
      )
      result = factor[factor == "a"]
      expected = factor[np.asarray(factor) == "a"]
      tm.assert_categorical_equal(result, expected)
  
      result = factor[factor != "a"]
      expected = factor[np.asarray(factor) != "a"]
      tm.assert_categorical_equal(result, expected)
  
      result = factor[factor < "c"]
      expected = factor[np.asarray(factor) < "c"]
      tm.assert_categorical_equal(result, expected)
  
      result = factor[factor > "a"]
      expected = factor[np.asarray(factor) > "a"]
      tm.assert_categorical_equal(result, expected)
  
      result = factor[factor >= "b"]
      expected = factor[np.asarray(factor) >= "b"]
      tm.assert_categorical_equal(result, expected)
  
      result = factor[factor <= "b"]
      expected = factor[np.asarray(factor) <= "b"]
      tm.assert_categorical_equal(result, expected)
  
      n = len(factor)
  
      other = factor[np.random.default_rng(2).permutation(n)]
      result = factor == other
      expected = np.asarray(factor) == np.asarray(other)
      tm.assert_numpy_array_equal(result, expected)
  
      result = factor == "d"
      expected = np.zeros(len(factor), dtype=bool)
      tm.assert_numpy_array_equal(result, expected)
  
      # comparisons with categoricals
      cat_rev = Categorical(
          ["a", "b", "c"], categories=["c", "b", "a"], ordered=True
      )
      cat_rev_base = Categorical(
          ["b", "b", "b"], categories=["c", "b", "a"], ordered=True
      )
      cat = Categorical(["a", "b", "c"], ordered=True)
      cat_base = Categorical(
          ["b", "b", "b"], categories=cat.categories, ordered=True
      )
  
      # comparisons need to take categories ordering into account
      res_rev = cat_rev > cat_rev_base
      exp_rev = np.array([True, False, False])
      tm.assert_numpy_array_equal(res_rev, exp_rev)
  
      res_rev = cat_rev < cat_rev_base
      exp_rev = np.array([False, False, True])
      tm.assert_numpy_array_equal(res_rev, exp_rev)
  
      res = cat > cat_base
      exp = np.array([False, False, True])
      tm.assert_numpy_array_equal(res, exp)
  
      # Only categories with same categories can be compared
      msg = "Categoricals can only be compared if 'categories' are the same"
      with pytest.raises(TypeError, match=msg):
          cat > cat_rev
  
      cat_rev_base2 = Categorical(
          ["b", "b", "b"], categories=["c", "b", "a", "d"]
      )
  
      with pytest.raises(TypeError, match=msg):
          cat_rev > cat_rev_base2
  
      # Only categories with same ordering information can be compared
      cat_unordered = cat.set_ordered(False)
      assert not (cat > cat).any()
  
      with pytest.raises(TypeError, match=msg):
          cat > cat_unordered
  
      # comparison (in both directions) with Series will raise
      s = Series(["b", "b", "b"], dtype=object)
      msg = (
          "Cannot compare a Categorical for op __gt__ with type "
          r"<class 'numpy\.ndarray'>"
      )
      with pytest.raises(TypeError, match=msg):
          cat > s
      with pytest.raises(TypeError, match=msg):
          cat_rev > s
      with pytest.raises(TypeError, match=msg):
          s < cat
      with pytest.raises(TypeError, match=msg):
          s < cat_rev
  
      # comparison with numpy.array will raise in both direction, but only on
      # newer numpy versions
      a = np.array(["b", "b", "b"], dtype=object)
      with pytest.raises(TypeError, match=msg):
          cat > a
      with pytest.raises(TypeError, match=msg):
          cat_rev > a
  
      # Make sure that unequal comparison take the categories order in
      # account
      cat_rev = Categorical(
          list("abc"), categories=list("cba"), ordered=True
      )
      exp = np.array([True, False, False])
      res = cat_rev > "b"
      tm.assert_numpy_array_equal(res, exp)
  
      # check that zero-dim array gets unboxed
      res = cat_rev > np.array("b")
      tm.assert_numpy_array_equal(res, exp)
  
imports: import numpy
  import pytest
  import pandas
  from pandas import Categorical, DataFrame, Series, Timestamp, date_range
  import pandas._testing
label_desc: Use image node_id 2 for calling the TestCategoricalOpsWithFactor obj's underlying member method code with example usage: obj.test_comparisons() without return types