code: def test_transform(self):
      pdf = pd.DataFrame(
          {
              "a": [1, 2, 3, 4, 5, 6] * 100,
              "b": [1.0, 1.0, 2.0, 3.0, 5.0, 8.0] * 100,
              "c": [1, 4, 9, 16, 25, 36] * 100,
          },
          columns=["a", "b", "c"],
          index=np.random.rand(600),
      )
      psdf = ps.DataFrame(pdf)
      self.assert_eq(
          psdf.transform(lambda x: x + 1).sort_index(),
          pdf.transform(lambda x: x + 1).sort_index(),
      )
      self.assert_eq(
          psdf.transform(lambda x, y: x + y, y=2).sort_index(),
          pdf.transform(lambda x, y: x + y, y=2).sort_index(),
      )
      with option_context("compute.shortcut_limit", 500):
          self.assert_eq(
              psdf.transform(lambda x: x + 1).sort_index(),
              pdf.transform(lambda x: x + 1).sort_index(),
          )
          self.assert_eq(
              psdf.transform(lambda x, y: x + y, y=1).sort_index(),
              pdf.transform(lambda x, y: x + y, y=1).sort_index(),
          )
  
      with self.assertRaisesRegex(
          AssertionError, "the first argument should be a callable"
      ):
          psdf.transform(1)
      with self.assertRaisesRegex(
          NotImplementedError,
          'axis should be either 0 or "index" currently.',
      ):
          psdf.transform(lambda x: x + 1, axis=1)
  
      # multi-index columns
      columns = pd.MultiIndex.from_tuples(
          [("x", "a"), ("x", "b"), ("y", "c")]
      )
      pdf.columns = columns
      psdf.columns = columns
  
      self.assert_eq(
          psdf.transform(lambda x: x + 1).sort_index(),
          pdf.transform(lambda x: x + 1).sort_index(),
      )
      with option_context("compute.shortcut_limit", 500):
          self.assert_eq(
              psdf.transform(lambda x: x + 1).sort_index(),
              pdf.transform(lambda x: x + 1).sort_index(),
          )
  
imports: from datetime import datetime
  import sys
  import unittest
  from typing import List
  import numpy
  import pandas
  from pyspark import pandas
  from pyspark.loose_version import LooseVersion
  from pyspark.pandas.config import option_context
  from pyspark.testing.pandasutils import ComparisonTestBase
  from pyspark.testing.sqlutils import SQLTestUtils
label_desc: Use image node_id 6 for calling the FrameApplyFunctionMixin obj's underlying member method code with example usage: obj.test_transform() without return types