code: def test_thin(backend):
      with backend() as be:
          with pytest.raises(ValueError):
              with pytest.warns(DeprecationWarning):
                  run_sampler(be, thin=-1)
          with pytest.raises(ValueError):
              with pytest.warns(DeprecationWarning):
                  run_sampler(be, thin=0.1)
          thinby = 3
          sampler1 = run_sampler(None)
          with pytest.warns(DeprecationWarning):
              sampler2 = run_sampler(be, thin=thinby)
          for k in ["get_chain", "get_log_prob"]:
              a = getattr(sampler1, k)()[thinby - 1 :: thinby]
              b = getattr(sampler2, k)()
              c = getattr(sampler1, k)(thin=thinby)
              assert np.allclose(a, b), "inconsistent {0}".format(k)
              assert np.allclose(a, c), "inconsistent {0}".format(k)
  
imports: import pickle
  from itertools import islice, product
  import numpy
  import pytest
  from emcee import EnsembleSampler, backends, moves, walkers_independent
label_desc: Use image node_id 5 for calling a global function with example usage: test_thin(backend) without return types