code: def split_one_dim(self, mesh_dim):
      name = f"R = S{mesh_dim} dot S{mesh_dim}"
  
      # get sharding spec
      dim_partition_dict = {
          "input": {0: [mesh_dim]},
          "other": {0: [mesh_dim]},
          "output": {},
          "bias": {0: [mesh_dim]},
      }
      sharding_spec_mapping = self.to_sharding_spec_mapping(
          dim_partition_dict
      )
  
      # get communication action
      output_comm_action = self.get_communication_action(
          sharding_spec=sharding_spec_mapping["output"],
          communication_pattern=CollectiveCommPattern.ALLREDUCE_FWD_IDENTITY_BWD,
          logical_process_axis=mesh_dim,
          comm_type=CommType.AFTER,
      )
      communication_action_mapping = {"output": output_comm_action}
      return self.get_sharding_strategy(
          name=name,
          sharding_spec_mapping=sharding_spec_mapping,
          communication_action_mapping=communication_action_mapping,
      )
  
imports: import operator
  from functools import reduce
  from typing import List
  from colossalai.auto_parallel.tensor_shard.options import SolverPerference
  from colossalai.auto_parallel.tensor_shard.sharding_strategy import CommType, MemoryCost, ShardingStrategy, TrainCycleItem
  from colossalai.auto_parallel.tensor_shard.utils import ignore_sharding_exception
  from colossalai.tensor.shape_consistency import CollectiveCommPattern
  from .strategy_generator import StrategyGenerator
label_desc: Use image node_id 4 for calling the DotProductStrategyGenerator obj's underlying member method code with example usage: obj.split_one_dim(mesh_dim) and returns: self