docstr: Test if alternative and new implementation give the same result.
code: def test_integrability_tensor_alt(self, n_points, atol):
      """Test if alternative and new implementation give the same result."""
      base_point = self.data_generator.random_point(n_points)
      tangent_vec_a = self.data_generator.random_tangent_vec(base_point)
      tangent_vec_b = self.data_generator.random_tangent_vec(base_point)
  
      expected = self.bundle.integrability_tensor(
          tangent_vec_a, tangent_vec_b, base_point
      )
      alt_expected = integrability_tensor_alt(
          self.bundle, tangent_vec_a, tangent_vec_b, base_point
      )
      self.assertAllClose(expected, alt_expected, atol=atol)
  
imports: import pytest
  import geomstats.backend
  from geomstats.geometry.matrices import Matrices
  from geomstats.test.random import KendalShapeRandomDataGenerator, get_random_times
  from geomstats.test.vectorization import generate_vectorization_data
  from geomstats.test_cases.geometry.base import LevelSetTestCase
  from geomstats.test_cases.geometry.fiber_bundle import FiberBundleTestCase
  from geomstats.test_cases.geometry.quotient_metric import QuotientMetricTestCase
  from geomstats.vectorization import get_batch_shape
label_desc: Use image node_id 11 for calling the PreShapeSpaceBundleTestCase obj's underlying member method code with example usage: obj.test_integrability_tensor_alt(n_points, atol) without return types