code: def test_updating(self):
      G2_degree = {
          n: (in_degree, out_degree)
          for (n, in_degree), (_, out_degree) in zip(
              self.G2.in_degree, self.G2.out_degree
          )
      }
      gparams, sparams = _initialize_parameters(
          self.G1, self.G2, G2_degree
      )
      (
          m,
          m_rev,
          T1_out,
          T1_in,
          T1_tilde,
          _,
          T2_out,
          T2_in,
          T2_tilde,
          _,
      ) = sparams
  
      # Add node to the mapping
      m[4] = self.mapped[4]
      m_rev[self.mapped[4]] = 4
      _update_Tinout(4, self.mapped[4], gparams, sparams)
  
      assert T1_out == {5, 9}
      assert T1_in == {3}
      assert T2_out == {"i", "e"}
      assert T2_in == {"c"}
      assert T1_tilde == {0, 1, 2, 6, 7, 8}
      assert T2_tilde == {"x", "a", "b", "f", "g", "h"}
  
      # Add node to the mapping
      m[5] = self.mapped[5]
      m_rev[self.mapped[5]] = 5
      _update_Tinout(5, self.mapped[5], gparams, sparams)
  
      assert T1_out == {9, 8, 7}
      assert T1_in == {3}
      assert T2_out == {"i", "g", "h"}
      assert T2_in == {"c"}
      assert T1_tilde == {0, 1, 2, 6}
      assert T2_tilde == {"x", "a", "b", "f"}
  
      # Add node to the mapping
      m[6] = self.mapped[6]
      m_rev[self.mapped[6]] = 6
      _update_Tinout(6, self.mapped[6], gparams, sparams)
  
      assert T1_out == {9, 8, 7}
      assert T1_in == {3, 7}
      assert T2_out == {"i", "g", "h"}
      assert T2_in == {"c", "g"}
      assert T1_tilde == {0, 1, 2}
      assert T2_tilde == {"x", "a", "b"}
  
      # Add node to the mapping
      m[3] = self.mapped[3]
      m_rev[self.mapped[3]] = 3
      _update_Tinout(3, self.mapped[3], gparams, sparams)
  
      assert T1_out == {9, 8, 7, 2}
      assert T1_in == {7, 1}
      assert T2_out == {"i", "g", "h", "b"}
      assert T2_in == {"g", "a"}
      assert T1_tilde == {0}
      assert T2_tilde == {"x"}
  
      # Add node to the mapping
      m[0] = self.mapped[0]
      m_rev[self.mapped[0]] = 0
      _update_Tinout(0, self.mapped[0], gparams, sparams)
  
      assert T1_out == {9, 8, 7, 2}
      assert T1_in == {7, 1}
      assert T2_out == {"i", "g", "h", "b"}
      assert T2_in == {"g", "a"}
      assert T1_tilde == set()
      assert T2_tilde == set()
  
imports: import itertools
  import pytest
  import networkx
  from networkx import vf2pp_is_isomorphic, vf2pp_isomorphism
  from networkx.algorithms.isomorphism.vf2pp import _consistent_PT, _cut_PT, _feasibility, _find_candidates, _find_candidates_Di, _GraphParameters, _initialize_parameters, _matching_order, _restore_Tinout, _restore_Tinout_Di, _StateParameters, _update_Tinout
label_desc: Use image node_id 1 for calling the TestDiGraphTinoutUpdating obj's underlying member method code with example usage: obj.test_updating() without return types