code: def test_to_frame(self):
      pidx = self.pdf.index
      psidx = self.psdf.index
  
      self.assert_eq(psidx.to_frame(), pidx.to_frame())
      self.assert_eq(
          psidx.to_frame(index=False), pidx.to_frame(index=False)
      )
  
      pidx.name = "a"
      psidx.name = "a"
  
      self.assert_eq(psidx.to_frame(), pidx.to_frame())
      self.assert_eq(
          psidx.to_frame(index=False), pidx.to_frame(index=False)
      )
  
      self.assert_eq(psidx.to_frame(name="x"), pidx.to_frame(name="x"))
      self.assert_eq(
          psidx.to_frame(index=False, name="x"),
          pidx.to_frame(index=False, name="x"),
      )
  
      self.assertRaises(TypeError, lambda: psidx.to_frame(name=["x"]))
  
      # non-string name
      self.assert_eq(psidx.to_frame(name=10), pidx.to_frame(name=10))
      self.assert_eq(
          psidx.to_frame(name=("x", 10)), pidx.to_frame(name=("x", 10))
      )
  
      pidx = self.pdf.set_index("b", append=True).index
      psidx = self.psdf.set_index("b", append=True).index
  
      self.assert_eq(psidx.to_frame(), pidx.to_frame())
      self.assert_eq(
          psidx.to_frame(index=False), pidx.to_frame(index=False)
      )
  
      self.assert_eq(
          psidx.to_frame(name=["x", "y"]),
          pidx.to_frame(name=["x", "y"]),
      )
      self.assert_eq(
          psidx.to_frame(name=("x", "y")),
          pidx.to_frame(name=("x", "y")),
      )
      self.assert_eq(
          psidx.to_frame(index=False, name=["x", "y"]),
          pidx.to_frame(index=False, name=["x", "y"]),
      )
  
      self.assertRaises(TypeError, lambda: psidx.to_frame(name="x"))
      self.assertRaises(ValueError, lambda: psidx.to_frame(name=["x"]))
  
      # non-string names
      self.assert_eq(
          psidx.to_frame(name=[10, 20]), pidx.to_frame(name=[10, 20])
      )
      self.assert_eq(
          psidx.to_frame(name=("x", 10)), pidx.to_frame(name=("x", 10))
      )
      if LooseVersion(pd.__version__) < LooseVersion("1.5.0"):
          self.assert_eq(
              psidx.to_frame(name=[("x", 10), ("y", 20)]),
              pidx.to_frame(name=[("x", 10), ("y", 20)]),
          )
      else:
          # Since pandas 1.5.0, the result is changed as below:
          #      (x, 10)  (y, 20)
          #   b
          # 0 4        0        4
          # 1 5        1        5
          # 3 6        3        6
          # 5 3        5        3
          # 6 2        6        2
          # 8 1        8        1
          # 9 0        9        0
          #   0        9        0
          #   0        9        0
          #
          # The columns should be `Index([('x', 20), ('y', 20)], dtype='object')`,
          # but pandas API on Spark doesn't support such a way for creating Index.
          # So, we currently cannot follow the behavior of pandas.
          expected_result = ps.DataFrame(
              {
                  ("x", 10): [0, 1, 3, 5, 6, 8, 9, 9, 9],
                  ("y", 20): [4, 5, 6, 3, 2, 1, 0, 0, 0],
              },
              index=ps.MultiIndex.from_tuples(
                  [
                      (0, 4),
                      (1, 5),
                      (3, 6),
                      (5, 3),
                      (6, 2),
                      (8, 1),
                      (9, 0),
                      (9, 0),
                      (9, 0),
                  ],
                  names=[None, "b"],
              ),
          )
          self.assert_eq(
              psidx.to_frame(name=[("x", 10), ("y", 20)]),
              expected_result,
          )
  
imports: import unittest
  from datetime import datetime
  import pandas
  from pyspark import pandas
  from pyspark.loose_version import LooseVersion
  from pyspark.testing.pandasutils import PandasOnSparkTestCase, SPARK_CONF_ARROW_ENABLED
  from pyspark.testing.sqlutils import SQLTestUtils
label_desc: Use image node_id 11 for calling the ConversionMixin obj's underlying member method code with example usage: obj.test_to_frame() without return types