code: def test_dtensor_spec_local_shard_offset(self):
      device_mesh = DeviceMesh(
          self.device_type, torch.arange(self.world_size).reshape(2, 4)
      )
      tensor_shape = (3 * self.world_size, 3 * self.world_size)
      # sharding specs and its corresponding local shard offsets
      shard_spec_and_offsets = [
          (
              [Shard(0), Replicate()],
              (3 * (self.world_size // 2) * (self.rank // 4), 0),
          ),
          (
              [Shard(1), Replicate()],
              (0, 3 * (self.world_size // 2) * (self.rank // 4)),
          ),
          (
              [Replicate(), Shard(0)],
              (3 * (self.world_size // 4) * (self.rank % 4), 0),
          ),
          (
              [Replicate(), Shard(1)],
              (0, 3 * (self.world_size // 4) * (self.rank % 4)),
          ),
      ]
  
      from torch.distributed._tensor._utils import (
          compute_local_shape_and_global_offset,
      )
  
      # loop through all sharding specs and check local shard offsets
      logical_tensor = torch.randn(tensor_shape)
      for placements, expected_shard_offsets in shard_spec_and_offsets:
          dtensor = distribute_tensor(
              logical_tensor, device_mesh, placements
          )
          _, offset = compute_local_shape_and_global_offset(
              dtensor.shape, device_mesh, dtensor.placements
          )
          self.assertEqual(expected_shard_offsets, offset)
  
imports: import torch
  import torch.nn.functional
  from numpy.testing import assert_array_equal
  from torch.distributed._functional_collectives import AsyncCollectiveTensor
  from torch.distributed._tensor import DeviceMesh, distribute_tensor, DTensor, init_device_mesh
  from torch.distributed._tensor.placement_types import _Partial, Replicate, Shard
  from torch.distributed.tensor.parallel import ColwiseParallel, parallelize_module, RowwiseParallel
  from torch.testing._internal.common_utils import run_tests
  from torch.testing._internal.distributed._tensor.common_dtensor import DTensorTestBase, with_comms
label_desc: Use image node_id 7 for calling the DTensorMeshTest obj's underlying member method code with example usage: obj.test_dtensor_spec_local_shard_offset() without return types