code: def test_logical_ops_df_compat(self):
      # GH#1134
      s1 = Series([True, False, True], index=list("ABC"), name="x")
      s2 = Series([True, True, False], index=list("ABD"), name="x")
  
      exp = Series(
          [True, False, False, False], index=list("ABCD"), name="x"
      )
      tm.assert_series_equal(s1 & s2, exp)
      tm.assert_series_equal(s2 & s1, exp)
  
      # True | np.nan => True
      exp_or1 = Series(
          [True, True, True, False], index=list("ABCD"), name="x"
      )
      tm.assert_series_equal(s1 | s2, exp_or1)
      # np.nan | True => np.nan, filled with False
      exp_or = Series(
          [True, True, False, False], index=list("ABCD"), name="x"
      )
      tm.assert_series_equal(s2 | s1, exp_or)
  
      # DataFrame doesn't fill nan with False
      tm.assert_frame_equal(
          s1.to_frame() & s2.to_frame(), exp.to_frame()
      )
      tm.assert_frame_equal(
          s2.to_frame() & s1.to_frame(), exp.to_frame()
      )
  
      exp = DataFrame(
          {"x": [True, True, np.nan, np.nan]}, index=list("ABCD")
      )
      tm.assert_frame_equal(
          s1.to_frame() | s2.to_frame(), exp_or1.to_frame()
      )
      tm.assert_frame_equal(
          s2.to_frame() | s1.to_frame(), exp_or.to_frame()
      )
  
      # different length
      s3 = Series([True, False, True], index=list("ABC"), name="x")
      s4 = Series(
          [True, True, True, True], index=list("ABCD"), name="x"
      )
  
      exp = Series(
          [True, False, True, False], index=list("ABCD"), name="x"
      )
      tm.assert_series_equal(s3 & s4, exp)
      tm.assert_series_equal(s4 & s3, exp)
  
      # np.nan | True => np.nan, filled with False
      exp_or1 = Series(
          [True, True, True, False], index=list("ABCD"), name="x"
      )
      tm.assert_series_equal(s3 | s4, exp_or1)
      # True | np.nan => True
      exp_or = Series(
          [True, True, True, True], index=list("ABCD"), name="x"
      )
      tm.assert_series_equal(s4 | s3, exp_or)
  
      tm.assert_frame_equal(
          s3.to_frame() & s4.to_frame(), exp.to_frame()
      )
      tm.assert_frame_equal(
          s4.to_frame() & s3.to_frame(), exp.to_frame()
      )
  
      tm.assert_frame_equal(
          s3.to_frame() | s4.to_frame(), exp_or1.to_frame()
      )
      tm.assert_frame_equal(
          s4.to_frame() | s3.to_frame(), exp_or.to_frame()
      )
  
imports: from datetime import datetime
  import operator
  import numpy
  import pytest
  from pandas import DataFrame, Index, Series, bdate_range
  import pandas._testing
  from pandas.core import ops
label_desc: Use image node_id 19 for calling the TestSeriesLogicalOps obj's underlying member method code with example usage: obj.test_logical_ops_df_compat() without return types