code: def test_initial_point(self):
      for dtype in (torch.float, torch.double):
          A = torch.tensor(
              [[0.0, -1.0, 0.0], [0.0, -1.0, 0.0], [0.0, 4.0, 0.0]],
              device=self.device,
              dtype=dtype,
          )
          b = torch.tensor(
              [[0.0], [-1.0], [1.0]], device=self.device, dtype=dtype
          )
          x0 = self.x0.to(dtype)
  
          # testing for infeasibility of the initial point and
          # infeasibility of the original LP (status 2 of the linprog output).
          for interior_point in [x0, None]:
              with self.assertRaises(ValueError):
                  self.sampler_class(
                      inequality_constraints=(A, b),
                      interior_point=interior_point,
                  )
  
          class Result:
              status = 1
              message = "mock status 1"
  
          # testing for only status 1 of the LP
          with mock.patch("scipy.optimize.linprog") as mock_linprog:
              mock_linprog.return_value = Result()
              with self.assertRaises(ValueError):
                  self.sampler_class(inequality_constraints=(A, b))
  
imports: from __future__ import annotations
  import itertools
  import warnings
  from typing import Any, Dict, Type
  from unittest import mock
  import numpy
  import torch
  from botorch.exceptions.errors import BotorchError
  from botorch.models.gp_regression import SingleTaskGP
  from botorch.sampling.pathwise import draw_matheron_paths
  from botorch.utils.sampling import _convert_bounds_to_inequality_constraints, batched_multinomial, DelaunayPolytopeSampler, draw_sobol_samples, find_interior_point, get_polytope_samples, HitAndRunPolytopeSampler, manual_seed, normalize_linear_constraints, optimize_posterior_samples, PolytopeSampler, sample_hypersphere, sample_simplex, sparse_to_dense_constraints
  from botorch.utils.testing import BotorchTestCase
label_desc: Use image node_id 6 for calling the PolytopeSamplerTestBase obj's underlying member method code with example usage: obj.test_initial_point() without return types