code: def exp_and_dist_and_projection_to_tangent_space_test_data(self):
      unnorm_base_point = gs.array([16.0, -2.0, -2.5, 84.0, 3.0])
      base_point = unnorm_base_point / gs.linalg.norm(unnorm_base_point)
      data = [
          dict(
              vector=gs.array([9.0, 0.0, -1.0, -2.0, 1.0]),
              base_point=base_point,
          )
      ]
      return self.generate_tests(data)
  
imports: import random
  import pytest
  import geomstats.backend
  from geomstats.test.data import TestData
  from .base import LevelSetTestData
  from .manifold import ManifoldTestData
  from .riemannian_metric import RiemannianMetricTestData
label_desc: Use image node_id 3 for calling the Hypersphere4ExtrinsicMetricTestData obj's underlying member method code with example usage: obj.exp_and_dist_and_projection_to_tangent_space_test_data() and returns: self