code: def test_extrinsic_to_intrinsic_coords_after_intrinsic_to_extrinsic_coords(
      self, n_points, atol
  ):
      point_intrinsic = self.intrinsic_data_generator.random_point(
          n_points
      )
  
      try:
          point_extrinsic = self.space.intrinsic_to_extrinsic_coords(
              point_intrinsic
          )
      except NotImplementedError:
          return
  
      point_intrinsic_ = self.space.extrinsic_to_intrinsic_coords(
          point_extrinsic
      )
  
      self.assertAllClose(point_intrinsic_, point_intrinsic, atol=atol)
  
imports: import random
  import pytest
  import scipy
  import geomstats.backend
  from geomstats.learning.frechet_mean import FrechetMean
  from geomstats.test.random import EmbeddedSpaceRandomDataGenerator, HypersphereIntrinsicRandomDataGenerator
  from geomstats.test.test_case import TestCase
  from geomstats.test.vectorization import generate_vectorization_data
  from geomstats.test_cases.geometry.base import LevelSetTestCase
  from geomstats.test_cases.geometry.manifold import ManifoldTestCase
  from geomstats.vectorization import get_batch_shape
label_desc: Use image node_id 10 for calling the HypersphereCoordsTransformTestCase obj's underlying member method code with example usage: obj.test_extrinsic_to_intrinsic_coords_after_intrinsic_to_extrinsic_coords(n_points, atol) without return types