code: def test_passes(self):
      # long message includes the original error message with a custom one
      self.longMessage = True
      # construct what we expect when passes aren't involved
      test_rhots = []
      model = self.class_(id2word=dictionary, chunksize=1, num_topics=2)
  
      def final_rhot(model):
          return pow(
              model.offset + (1 * model.num_updates) / model.chunksize,
              -model.decay,
          )
  
      # generate 5 updates to test rhot on
      for _ in range(5):
          model.update(corpus, author2doc)
          test_rhots.append(final_rhot(model))
  
      for passes in [1, 5, 10, 50, 100]:
          model = self.class_(
              id2word=dictionary,
              chunksize=1,
              num_topics=2,
              passes=passes,
          )
          self.assertEqual(final_rhot(model), 1.0)
          # make sure the rhot matches the test after each update
          for test_rhot in test_rhots:
              model.update(corpus, author2doc)
  
              msg = "{}, {}, {}".format(
                  passes, model.num_updates, model.state.numdocs
              )
              self.assertAlmostEqual(
                  final_rhot(model), test_rhot, msg=msg
              )
  
          self.assertEqual(
              model.state.numdocs, len(corpus) * len(test_rhots)
          )
          self.assertEqual(
              model.num_updates, len(corpus) * len(test_rhots)
          )
  
imports: import logging
  import unittest
  import numbers
  from os import remove
  import numpy
  from gensim.corpora import mmcorpus, Dictionary
  from gensim.models import atmodel
  from gensim import matutils
  from gensim.test import basetmtests
  from gensim.test.utils import datapath, get_tmpfile, common_texts, common_dictionary, common_corpus
  from gensim.matutils import jensen_shannon
label_desc: Use image node_id 21 for calling the TestAuthorTopicModel obj's underlying member method code with example usage: obj.test_passes() and returns: pow