code: def test_intersection(self, tz, sort):
      # GH 4690 (with tz)
      base = date_range("6/1/2000", "6/30/2000", freq="D", name="idx")
  
      # if target has the same name, it is preserved
      rng2 = date_range("5/15/2000", "6/20/2000", freq="D", name="idx")
      expected2 = date_range(
          "6/1/2000", "6/20/2000", freq="D", name="idx"
      )
  
      # if target name is different, it will be reset
      rng3 = date_range(
          "5/15/2000", "6/20/2000", freq="D", name="other"
      )
      expected3 = date_range(
          "6/1/2000", "6/20/2000", freq="D", name=None
      )
  
      rng4 = date_range("7/1/2000", "7/31/2000", freq="D", name="idx")
      expected4 = DatetimeIndex(
          [], freq="D", name="idx", dtype="M8[ns]"
      )
  
      for rng, expected in [
          (rng2, expected2),
          (rng3, expected3),
          (rng4, expected4),
      ]:
          result = base.intersection(rng)
          tm.assert_index_equal(result, expected)
          assert result.freq == expected.freq
  
      # non-monotonic
      base = DatetimeIndex(
          ["2011-01-05", "2011-01-04", "2011-01-02", "2011-01-03"],
          tz=tz,
          name="idx",
      ).as_unit("ns")
  
      rng2 = DatetimeIndex(
          ["2011-01-04", "2011-01-02", "2011-02-02", "2011-02-03"],
          tz=tz,
          name="idx",
      ).as_unit("ns")
      expected2 = DatetimeIndex(
          ["2011-01-04", "2011-01-02"], tz=tz, name="idx"
      ).as_unit("ns")
  
      rng3 = DatetimeIndex(
          ["2011-01-04", "2011-01-02", "2011-02-02", "2011-02-03"],
          tz=tz,
          name="other",
      ).as_unit("ns")
      expected3 = DatetimeIndex(
          ["2011-01-04", "2011-01-02"], tz=tz, name=None
      ).as_unit("ns")
  
      # GH 7880
      rng4 = date_range(
          "7/1/2000", "7/31/2000", freq="D", tz=tz, name="idx"
      )
      expected4 = DatetimeIndex([], tz=tz, name="idx").as_unit("ns")
      assert expected4.freq is None
  
      for rng, expected in [
          (rng2, expected2),
          (rng3, expected3),
          (rng4, expected4),
      ]:
          result = base.intersection(rng, sort=sort)
          if sort is None:
              expected = expected.sort_values()
          tm.assert_index_equal(result, expected)
          assert result.freq == expected.freq
  
imports: from datetime import datetime, timezone
  import numpy
  import pytest
  import pytz
  import pandas.util._test_decorators
  import pandas
  from pandas import DataFrame, DatetimeIndex, Index, Series, Timestamp, bdate_range, date_range
  import pandas._testing
  from pandas.tseries.offsets import BMonthEnd, Minute, MonthEnd
label_desc: Use image node_id 14 for calling the TestDatetimeIndexSetOps obj's underlying member method code with example usage: obj.test_intersection(tz, sort) without return types