code: def test_cartesian_chunk_execution(setup):
      rs = np.random.RandomState(0)
      raw1 = pd.DataFrame(
          {"a": rs.randint(3, size=10), "b": rs.rand(10)}
      )
      raw2 = pd.DataFrame(
          {
              "c": rs.randint(3, size=10),
              "d": rs.rand(10),
              "e": rs.rand(10),
          }
      )
      df1 = from_pandas_df(raw1, chunk_size=(5, 1))
      df2 = from_pandas_df(raw2, chunk_size=(5, 1))
  
      def f(c1, c2):
          c1, c2 = c1.copy(), c2.copy()
          c1["x"] = 1
          c2["x"] = 1
          r = c1.merge(c2, on="x")
          r = r[(r["b"] > r["d"]) & (r["b"] < r["e"])]
          return r[["a", "c"]]
  
      rr = df1.cartesian_chunk(df2, f)
  
      result = rr.execute().fetch()
      expected = f(raw1, raw2)
      pd.testing.assert_frame_equal(
          result.sort_values(by=["a", "c"]).reset_index(drop=True),
          expected.sort_values(by=["a", "c"]).reset_index(drop=True),
      )
  
      def f2(c1, c2):
          r = f(c1, c2)
          return r["a"] + r["c"]
  
      rr = df1.cartesian_chunk(df2, f2)
  
      result = rr.execute().fetch()
      expected = f2(raw1, raw2)
      pd.testing.assert_series_equal(
          result.sort_values().reset_index(drop=True),
          expected.sort_values().reset_index(drop=True),
      )
  
      # size_res = setup.executor.execute_dataframe(rr, mock=True)[0][0]
      # assert size_res > 0
  
      def f3(c1, c2):
          cr = pd.DataFrame()
          cr["a"] = c1.str.slice(1).astype(np.int64)
          cr["x"] = 1
          cr2 = pd.DataFrame()
          cr2["b"] = c2.str.slice(1).astype(np.int64)
          cr2["x"] = 1
          return cr.merge(cr2, on="x")[["a", "b"]]
  
      s_raw = pd.Series([f"s{i}" for i in range(10)])
      series = from_pandas_series(s_raw, chunk_size=5)
  
      rr = series.cartesian_chunk(
          series,
          f3,
          output_type="dataframe",
          dtypes=pd.Series([np.dtype(np.int64)] * 2, index=["a", "b"]),
      )
  
      result = rr.execute().fetch()
      expected = f3(s_raw, s_raw)
      pd.testing.assert_frame_equal(
          result.sort_values(by=["a", "b"]).reset_index(drop=True),
          expected.sort_values(by=["a", "b"]).reset_index(drop=True),
      )
  
      with pytest.raises(TypeError):
          _ = series.cartesian_chunk(series, f3)
  
      def f4(c1, c2):
          r = f3(c1, c2)
          return r["a"] + r["b"]
  
      rr = series.cartesian_chunk(
          series, f4, output_type="series", dtypes=np.dtype(np.int64)
      )
  
      result = rr.execute().fetch()
      expected = f4(s_raw, s_raw)
      pd.testing.assert_series_equal(
          result.sort_values().reset_index(drop=True),
          expected.sort_values().reset_index(drop=True),
      )
  
imports: import random
  from collections import OrderedDict
  import numpy
  import pandas
  import pytest
  import mars
  from ....config import options, option_context
  from ....dataframe import DataFrame, Series
  from ....tensor import arange, tensor
  from ....tensor.random import rand
  from ....tests.core import require_cudf
  from ....utils import lazy_import, pd_release_version, no_default
  from ...None import eval, cut, qcut, get_dummies
  from ...core import DATAFRAME_OR_SERIES_TYPE
  from ...datasource.dataframe import from_pandas
  from ...datasource.series import from_pandas
  from ...datasource.index import from_pandas
  from ..None import to_gpu, to_cpu
  from ..bloom_filter import filter_by_bloom_filter
  from ..shift import _enable_no_default, _with_column_freq_bug
  from ..to_numeric import to_numeric
  from ..rebalance import DataFrameRebalance
label_desc: Use image node_id 37 for calling a global function with example usage: test_cartesian_chunk_execution(setup) and returns: r, unknown, cr, unknown