code: def test_mixed_udf(self):
      df = self.data
      w = self.unbounded_window
  
      plus_one = self.python_plus_one
      time_two = self.pandas_scalar_time_two
      mean_udf = self.pandas_agg_mean_udf
  
      result1 = df.withColumn(
          "v2", plus_one(mean_udf(plus_one(df["v"])).over(w))
      )
      expected1 = df.withColumn(
          "v2", plus_one(mean(plus_one(df["v"])).over(w))
      )
  
      result2 = df.withColumn(
          "v2", time_two(mean_udf(time_two(df["v"])).over(w))
      )
      expected2 = df.withColumn(
          "v2", time_two(mean(time_two(df["v"])).over(w))
      )
  
      assert_frame_equal(expected1.toPandas(), result1.toPandas())
      assert_frame_equal(expected2.toPandas(), result2.toPandas())
  
imports: import unittest
  from typing import cast
  from pyspark.errors import AnalysisException, PythonException
  from pyspark.sql.functions import array, explode, col, lit, mean, min, max, rank, udf, pandas_udf, PandasUDFType
  from pyspark.sql.window import Window
  from pyspark.testing.sqlutils import ReusedSQLTestCase, have_pandas, have_pyarrow, pandas_requirement_message, pyarrow_requirement_message
  from pyspark.testing.utils import QuietTest, assertDataFrameEqual
label_desc: Use image node_id 22 for calling the WindowPandasUDFTestsMixin obj's underlying member method code with example usage: obj.test_mixed_udf() without return types