code: def homogeneous_representation_test_case(
      rotation,
      translation,
      constant,
      expected,
      atol=gs.atol,
  ):
      out = homogeneous_representation(rotation, translation, constant)
      assert_allclose(out, expected, atol=atol)
  
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 1 for calling a global function with example usage: homogeneous_representation_test_case(rotation, translation, constant, expected, atol) without return types