code: def test_retain_index_attributes2(tmp_path, setup_path):
      path = tmp_path / setup_path
  
      with tm.assert_produces_warning(errors.AttributeConflictWarning):
          df = DataFrame(
              {
                  "A": Series(
                      range(3),
                      index=date_range("2000-1-1", periods=3, freq="h"),
                  )
              }
          )
          df.to_hdf(path, key="data", mode="w", append=True)
          df2 = DataFrame(
              {
                  "A": Series(
                      range(3),
                      index=date_range("2002-1-1", periods=3, freq="D"),
                  )
              }
          )
  
          df2.to_hdf(path, key="data", append=True)
  
          idx = date_range("2000-1-1", periods=3, freq="h")
          idx.name = "foo"
          df = DataFrame({"A": Series(range(3), index=idx)})
          df.to_hdf(path, key="data", mode="w", append=True)
  
      assert read_hdf(path, key="data").index.name == "foo"
  
      with tm.assert_produces_warning(errors.AttributeConflictWarning):
          idx2 = date_range("2001-1-1", periods=3, freq="h")
          idx2.name = "bar"
          df2 = DataFrame({"A": Series(range(3), index=idx2)})
          df2.to_hdf(path, key="data", append=True)
  
      assert read_hdf(path, "data").index.name is None
  
imports: import pytest
  from pandas import DataFrame, DatetimeIndex, Series, _testing, date_range, errors, read_hdf
  from pandas.tests.io.pytables.common import _maybe_remove, ensure_clean_store
label_desc: Use image node_id 2 for calling a global function with example usage: test_retain_index_attributes2(tmp_path, setup_path) without return types