code: def test_exceptions(self):
      for wrapper in self.wrappers.values():
          mock_closure = MagicMock(return_value=wrapper.closure())
          mock_wrapper = NdarrayOptimizationClosure(
              mock_closure, wrapper.closure.parameters
          )
          with self.assertRaisesRegex(NotPSDError, "foo"):
              mock_wrapper.closure.side_effect = NotPSDError("foo")
              mock_wrapper()
  
          for exception in (
              NanError("foo"),
              RuntimeError("singular"),
              RuntimeError("input is not positive-definite"),
          ):
              mock_wrapper.closure.side_effect = exception
              value, grads = mock_wrapper()
              self.assertTrue(np.isnan(value).all())
              self.assertTrue(np.isnan(grads).all())
  
imports: from contextlib import nullcontext
  from functools import partial
  from typing import Dict
  from unittest.mock import MagicMock
  import numpy
  import torch
  from botorch.optim.closures.core import ForwardBackwardClosure, get_tensors_as_ndarray_1d, NdarrayOptimizationClosure
  from botorch.optim.utils import as_ndarray
  from botorch.utils.context_managers import zero_grad_ctx
  from botorch.utils.testing import BotorchTestCase
  from linear_operator.utils.errors import NanError, NotPSDError
  from torch.nn import Module, Parameter
label_desc: Use image node_id 3 for calling the TestNdarrayOptimizationClosure obj's underlying member method code with example usage: obj.test_exceptions() without return types