code: def test_value_and_grad_one_vector_var_np_input(self):
      n = 10
      vector = _np.ones(n)
      result_loss, result_grad = gs.autodiff.value_and_grad(
          lambda v: gs.sum(v**2)
      )(vector)
      expected_loss = n
      expected_grad = 2 * vector
      self.assertAllClose(result_loss, expected_loss)
      self.assertAllClose(result_grad, expected_grad)
  
imports: import warnings
  import numpy
  import pytest
  import geomstats.backend
  from geomstats.geometry.grassmannian import Grassmannian
  from geomstats.geometry.special_euclidean import SpecialEuclidean
  from geomstats.test.test_case import TestCase, autograd_and_torch_only, autograd_only, np_only
label_desc: Use image node_id 6 for calling the TestAutodiff obj's underlying member method code with example usage: obj.test_value_and_grad_one_vector_var_np_input() without return types