code: def homogeneous_representation_vec_test_case(n, n_reps, atol):
      rotation = SquareMatrices(n).random_point()
      translation = Euclidean(n).random_point()
      constant = gs.array(1.0)
  
      expected = homogeneous_representation(
          rotation, translation, constant
      )
  
      vec_data = generate_vectorization_data(
          data=[
              dict(
                  rotation=rotation,
                  translation=translation,
                  constant=constant,
                  expected=expected,
                  atol=atol,
              )
          ],
          arg_names=["rotation", "translation", "constant"],
          expected_name="expected",
          n_reps=n_reps,
      )
      for datum in vec_data:
          homogeneous_representation_test_case(**datum)
  
imports: import pytest
  import geomstats.backend
  from geomstats.geometry.euclidean import Euclidean
  from geomstats.geometry.general_linear import SquareMatrices
  from geomstats.geometry.special_euclidean import SpecialEuclidean, homogeneous_representation
  from geomstats.test.random import LieGroupVectorRandomDataGenerator
  from geomstats.test.test_case import assert_allclose
  from geomstats.test.vectorization import generate_vectorization_data
  from geomstats.test_cases.geometry.lie_group import LieGroupTestCase
  from geomstats.test_cases.geometry.mixins import ProjectionTestCaseMixins
label_desc: Use image node_id 2 for calling a global function with example usage: homogeneous_representation_vec_test_case(n, n_reps, atol) without return types