code: def test_updating(self):
      G2_degree = dict(self.G2.degree)
      gparams, sparams = _initialize_parameters(
          self.G1, self.G2, G2_degree
      )
      m, m_rev, T1, _, T1_tilde, _, T2, _, 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 == {3, 5, 9}
      assert T2 == {"c", "i", "e"}
      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.update({self.mapped[5]: 5})
      _update_Tinout(5, self.mapped[5], gparams, sparams)
  
      assert T1 == {3, 9, 8, 7}
      assert T2 == {"c", "i", "h", "g"}
      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.update({self.mapped[6]: 6})
      _update_Tinout(6, self.mapped[6], gparams, sparams)
  
      assert T1 == {3, 9, 8, 7}
      assert T2 == {"c", "i", "h", "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.update({self.mapped[3]: 3})
      _update_Tinout(3, self.mapped[3], gparams, sparams)
  
      assert T1 == {1, 2, 9, 8, 7}
      assert T2 == {"a", "b", "i", "h", "g"}
      assert T1_tilde == {0}
      assert T2_tilde == {"x"}
  
      # Add node to the mapping
      m[0] = self.mapped[0]
      m_rev.update({self.mapped[0]: 0})
      _update_Tinout(0, self.mapped[0], gparams, sparams)
  
      assert T1 == {1, 2, 9, 8, 7}
      assert T2 == {"a", "b", "i", "h", "g"}
      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 TestGraphTinoutUpdating obj's underlying member method code with example usage: obj.test_updating() without return types