code: def setUp(self) -> None:
      rs = np.random.RandomState(1)
      num_dims = 5
      self.likelihood = GaussianLikelihood().double()
      X_in, Y_in, X_out, Y_out, X_inducing = generate_test_data(
          rs, num_dims=num_dims
      )
      self.kernel = generate_kernel(num_dims)
      self.X_in = torch.from_numpy(X_in)
      self.Y_in = torch.from_numpy(Y_in)
      self.X_out = torch.from_numpy(X_out)
      self.Y_out = torch.from_numpy(Y_out)
      self.X_inducing = torch.from_numpy(X_inducing)
      self.ga_kernel = FITCKernel(
          base_kernel=self.kernel,
          X_inducing=self.X_inducing,
          likelihood=self.likelihood,
          X_out=self.X_out,
          y_out=self.Y_out,
      ).double()
      self.ga_mean = FITCMean(covar_module=self.ga_kernel)
      self.fitc = FITC(
          train_x=self.X_out,
          train_y=self.Y_out,
          likelihood=self.likelihood,
          base_kernel=self.kernel,
          inducing_points=self.X_inducing,
      )
  
      self.fitc_eval_cache = {
          "_cached_kernel_mat": "_inducing_mat",
          "_cached_inducing_sigma": "_inducing_sigma",
          "_cached_poster_mean_mat": "_poster_mean_mat",
          "_cached_kernel_inv_root": "_inducing_inv_root",
      }
      self.fitc_train_cache = {
          "_train_cached_k_u1": "_k_u1",
          "_train_cached_lambda_diag_inv": "_lambda_diag_inv",
          "_train_cached_posterior_mean": "posterior_mean",
      }
  
imports: import copy
  import unittest.mock
  import gpytorch
  import numpy
  import torch
  from gpytorch.constraints.constraints import Interval
  from gpytorch.distributions import MultivariateNormal
  from gpytorch.kernels import MaternKernel, ScaleKernel
  from gpytorch.kernels.inducing_point_kernel import InducingPointKernel
  from gpytorch.lazy import LazyEvaluatedKernelTensor, delazify
  from gpytorch.likelihoods import GaussianLikelihood
  from gpytorch.means.zero_mean import ZeroMean
  from gpytorch.models.exact_gp import ExactGP
  from smac.model.gaussian_process.kernels._boing import FITCKernel, FITCMean
  from smac.model.utils import check_subspace_points
label_desc: Use image node_id 1 for calling the TestFITCKernel obj's underlying member method code with example usage: obj.setUp() without return types