code: def test_sgpr_posterior_update_cache_with_variables_no_precompute(
      register_posterior_test: RegisterPosterior,
      q_sqrt_factory: QSqrtFactory,
      whiten: bool,
      precompute_cache_type: PrecomputeCacheType,
  ) -> None:
      kernel = gpflow.kernels.SquaredExponential()
      X = np.random.randn(NUM_INDUCING_POINTS, INPUT_DIMS)
      Y = np.random.randn(NUM_INDUCING_POINTS, 1)
      Z = np.random.randn(NUM_INDUCING_POINTS, INPUT_DIMS)
  
      posterior = SGPRPosterior(
          kernel=kernel,
          data=(X, Y),
          inducing_variable=InducingPoints(Z),
          likelihood=Gaussian(0.1),
          num_latent_gps=1,
          precompute_cache=precompute_cache_type,
          mean_function=Zero(),
      )
      posterior.update_cache(PrecomputeCacheType.VARIABLE)
      register_posterior_test(posterior, SGPRPosterior)
  
      assert posterior.cache
      L, LB, c = posterior.cache
      assert isinstance(L, tf.Variable)
      assert isinstance(LB, tf.Variable)
      assert isinstance(c, tf.Variable)
  
imports: from typing import Any, Callable, DefaultDict, Optional, Set, Type, cast
  import numpy
  import pytest
  import tensorflow
  from _pytest.fixtures import SubRequest
  from check_shapes import check_shapes
  import gpflow
  import gpflow.ci_utils
  from gpflow.base import TensorType
  from gpflow.conditionals import conditional
  from gpflow.inducing_variables import InducingPoints, InducingVariables
  from gpflow.kernels import Kernel
  from gpflow.likelihoods import Gaussian
  from gpflow.mean_functions import Zero
  from gpflow.models.util import inducingpoint_wrapper
  from gpflow.posteriors import AbstractPosterior, FallbackIndependentLatentPosterior, FullyCorrelatedPosterior, GPRPosterior, IndependentPosteriorMultiOutput, IndependentPosteriorSingleOutput, LinearCoregionalizationPosterior, PrecomputeCacheType, SGPRPosterior, VGPPosterior, create_posterior
label_desc: Use image node_id 20 for calling a global function with example usage: test_sgpr_posterior_update_cache_with_variables_no_precompute(register_posterior_test, q_sqrt_factory, whiten, precompute_cache_type) without return types