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| # Copyright 2024 Bytedance Ltd. and/or its affiliates | |
| # | |
| # Licensed under the Apache License, Version 2.0 (the "License"); | |
| # you may not use this file except in compliance with the License. | |
| # You may obtain a copy of the License at | |
| # | |
| # http://www.apache.org/licenses/LICENSE-2.0 | |
| # | |
| # Unless required by applicable law or agreed to in writing, software | |
| # distributed under the License is distributed on an "AS IS" BASIS, | |
| # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | |
| # See the License for the specific language governing permissions and | |
| # limitations under the License. | |
| """ | |
| Implement base data transfer protocol between any two functions, modules. | |
| We can subclass Protocol to define more detailed batch info with specific keys | |
| """ | |
| import pickle | |
| import numpy as np | |
| import copy | |
| from dataclasses import dataclass, field | |
| from typing import Callable, Dict, List, Union | |
| import torch | |
| import tensordict | |
| from tensordict import TensorDict | |
| from torch.utils.data import DataLoader, Dataset | |
| from verl.utils.py_functional import union_two_dict | |
| __all__ = ['DataProto', 'union_tensor_dict'] | |
| try: | |
| tensordict.set_lazy_legacy(False).set() | |
| except: | |
| pass | |
| def pad_dataproto_to_divisor(data: 'DataProto', size_divisor: int): | |
| """Pad a DataProto to size divisible by size_divisor | |
| Args: | |
| size_divisor (int): size divisor | |
| Returns: | |
| data: (DataProto): the padded DataProto | |
| pad_size (int) | |
| """ | |
| assert isinstance(data, DataProto), 'data must be a DataProto' | |
| if len(data) % size_divisor != 0: | |
| pad_size = size_divisor - len(data) % size_divisor | |
| data_padded = DataProto.concat([data, data[:pad_size]]) | |
| else: | |
| pad_size = 0 | |
| data_padded = data | |
| return data_padded, pad_size | |
| def unpad_dataproto(data: 'DataProto', pad_size): | |
| if pad_size != 0: | |
| data = data[:-pad_size] | |
| return data | |
| def union_tensor_dict(tensor_dict1: TensorDict, tensor_dict2: TensorDict) -> TensorDict: | |
| """Union two tensordicts.""" | |
| assert tensor_dict1.batch_size == tensor_dict2.batch_size, \ | |
| f'Two tensor dict must have identical batch size. Got {tensor_dict1.batch_size} and {tensor_dict2.batch_size}' | |
| for key in tensor_dict2.keys(): | |
| if key not in tensor_dict1.keys(): | |
| tensor_dict1[key] = tensor_dict2[key] | |
| else: | |
| assert tensor_dict1[key].equal(tensor_dict2[key]), \ | |
| f'{key} in tensor_dict1 and tensor_dict2 are not the same object' | |
| return tensor_dict1 | |
| def union_numpy_dict(tensor_dict1: dict[np.ndarray], tensor_dict2: dict[np.ndarray]) -> dict[np.ndarray]: | |
| for key, val in tensor_dict2.items(): | |
| if key in tensor_dict1: | |
| assert isinstance(tensor_dict2[key], np.ndarray) | |
| assert isinstance(tensor_dict1[key], np.ndarray) | |
| assert np.all(tensor_dict2[key] == tensor_dict1[key]), \ | |
| f'{key} in tensor_dict1 and tensor_dict2 are not the same object' | |
| tensor_dict1[key] = val | |
| return tensor_dict1 | |
| def list_of_dict_to_dict_of_list(list_of_dict: list[dict]): | |
| if len(list_of_dict) == 0: | |
| return {} | |
| keys = list_of_dict[0].keys() | |
| output = {key: [] for key in keys} | |
| for data in list_of_dict: | |
| for key, item in data.items(): | |
| assert key in output | |
| output[key].append(item) | |
| return output | |
| def fold_batch_dim(data: 'DataProto', new_batch_size): | |
| """ | |
| Fold a batch dim from [bsz, xxx] into [new_bsz, bsz // new_bsz, xxx] | |
| """ | |
| batch_size = data.batch.batch_size[0] | |
| assert batch_size % new_batch_size == 0 | |
| tensor: TensorDict = data.batch | |
| non_tensor = data.non_tensor_batch | |
| tensor = tensor.view(new_batch_size, -1) | |
| tensor.auto_batch_size_(batch_dims=1) | |
| for key, val in non_tensor.items(): | |
| non_tensor[key] = np.reshape(val, newshape=(new_batch_size, -1, *val.shape[1:])) | |
| return DataProto(batch=tensor, non_tensor_batch=non_tensor, meta_info=data.meta_info) | |
| def unfold_batch_dim(data: 'DataProto', batch_dims=2): | |
| """ | |
| Unfold the first n dims as new batch dim | |
| """ | |
| tensor: TensorDict = data.batch | |
| non_tensor = data.non_tensor_batch | |
| tensor.auto_batch_size_(batch_dims=batch_dims) | |
| tensor = tensor.view(-1) | |
| batch_size = tensor.batch_size[0] | |
| non_tensor_new = {} | |
| for key, val in non_tensor.items(): | |
| non_tensor_new[key] = np.reshape(val, newshape=(batch_size, *val.shape[batch_dims:])) | |
| return DataProto(batch=tensor, non_tensor_batch=non_tensor_new, meta_info=data.meta_info) | |
| def collate_fn(x: list['DataProtoItem']): | |
| batch = [] | |
| non_tensor_batch = [] | |
| for data in x: | |
| batch.append(data.batch) | |
| non_tensor_batch.append(data.non_tensor_batch) | |
| batch = torch.stack(batch).contiguous() | |
| non_tensor_batch = list_of_dict_to_dict_of_list(non_tensor_batch) | |
| for key, val in non_tensor_batch.items(): | |
| non_tensor_batch[key] = np.array(val, dtype=object) | |
| return DataProto(batch=batch, non_tensor_batch=non_tensor_batch) | |
| class DataProtoItem: | |
| # TODO(zhangchi.usc1992) add consistency check | |
| batch: TensorDict = None | |
| non_tensor_batch: Dict = field(default_factory=dict) | |
| meta_info: Dict = field(default_factory=dict) | |
| class DataProto: | |
| """ | |
| A DataProto is a data structure that aims to provide a standard protocol for data exchange between functions. | |
| It contains a batch (TensorDict) and a meta_info (Dict). The batch is a TensorDict https://pytorch.org/tensordict/. | |
| TensorDict allows you to manipulate a dictionary of Tensors like a single Tensor. Ideally, the tensors with the | |
| same batch size should be put inside batch. | |
| """ | |
| batch: TensorDict = None | |
| non_tensor_batch: Dict = field(default_factory=dict) | |
| meta_info: Dict = field(default_factory=dict) | |
| def __post_init__(self): | |
| # perform necessary checking | |
| self.check_consistency() | |
| def __len__(self): | |
| if self.batch is not None: | |
| return self.batch.batch_size[0] | |
| elif self.non_tensor_batch is not None and len(self.non_tensor_batch) > 0: | |
| random_key = list(self.non_tensor_batch.keys())[0] | |
| return self.non_tensor_batch[random_key].shape[0] | |
| else: | |
| return 0 | |
| def __getitem__(self, item): | |
| tensor_data = self.batch[item] | |
| non_tensor_data = {key: val[item] for key, val in self.non_tensor_batch.items()} | |
| return DataProtoItem(batch=tensor_data, non_tensor_batch=non_tensor_data, meta_info=self.meta_info) | |
| def __getstate__(self): | |
| import io | |
| buffer = io.BytesIO() | |
| if tensordict.__version__ >= '0.5.0' and self.batch is not None: | |
| self.batch = self.batch.contiguous() | |
| self.batch = self.batch.consolidate() | |
| torch.save(self.batch, buffer) | |
| buffer_bytes = buffer.getvalue() | |
| return buffer_bytes, self.non_tensor_batch, self.meta_info | |
| def __setstate__(self, data): | |
| import io | |
| batch_deserialized_bytes, non_tensor_batch, meta_info = data | |
| batch_deserialized = io.BytesIO(initial_bytes=batch_deserialized_bytes) | |
| batch = torch.load(batch_deserialized, | |
| weights_only=False, | |
| map_location='cpu' if not torch.cuda.is_available() else None) | |
| self.batch = batch | |
| self.non_tensor_batch = non_tensor_batch | |
| self.meta_info = meta_info | |
| def save_to_disk(self, filepath): | |
| with open(filepath, 'wb') as f: | |
| pickle.dump(self, f) | |
| def load_from_disk(filepath) -> 'DataProto': | |
| with open(filepath, 'rb') as f: | |
| data = pickle.load(f) | |
| return data | |
| def print_size(self, prefix=""): | |
| size_of_tensordict = 0 | |
| for key, tensor in self.batch.items(): | |
| size_of_tensordict += tensor.element_size() * tensor.numel() | |
| size_of_numpy_array = 0 | |
| for key, numpy_array in self.non_tensor_batch.items(): | |
| size_of_numpy_array += numpy_array.nbytes | |
| size_of_numpy_array /= 1024**3 | |
| size_of_tensordict /= 1024**3 | |
| message = f'Size of tensordict: {size_of_tensordict} GB, size of non_tensor_batch: {size_of_numpy_array} GB' | |
| if prefix: | |
| message = f'{prefix}, ' + message | |
| print(message) | |
| def check_consistency(self): | |
| """Check the consistency of the DataProto. Mainly for batch and non_tensor_batch | |
| We expose this function as a public one so that user can call themselves directly | |
| """ | |
| if self.batch is not None: | |
| assert len(self.batch.batch_size) == 1, 'only support num_batch_dims=1' | |
| if self.non_tensor_batch is not None: | |
| for key, val in self.non_tensor_batch.items(): | |
| assert isinstance(val, np.ndarray) | |
| if self.batch is not None and len(self.non_tensor_batch) != 0: | |
| # TODO: we can actually lift this restriction if needed | |
| assert len(self.batch.batch_size) == 1, 'only support num_batch_dims=1 when non_tensor_batch is not empty.' | |
| batch_size = self.batch.batch_size[0] | |
| for key, val in self.non_tensor_batch.items(): | |
| assert isinstance( | |
| val, np.ndarray | |
| ) and val.dtype == object, 'data in the non_tensor_batch must be a numpy.array with dtype=object' | |
| assert val.shape[ | |
| 0] == batch_size, f'key {key} length {len(val)} is not equal to batch size {batch_size}' | |
| def from_single_dict(cls, data: Dict[str, Union[torch.Tensor, np.ndarray]], meta_info=None): | |
| tensors = {} | |
| non_tensors = {} | |
| for key, val in data.items(): | |
| if isinstance(val, torch.Tensor): | |
| tensors[key] = val | |
| elif isinstance(val, np.ndarray): | |
| non_tensors[key] = val | |
| else: | |
| raise ValueError(f'Unsupported type in data {type(val)}') | |
| return DataProto.from_dict(tensors=tensors, non_tensors=non_tensors, meta_info=meta_info) | |
| def from_dict(cls, tensors: Dict[str, torch.Tensor], non_tensors=None, meta_info=None, num_batch_dims=1): | |
| """Create a DataProto from a dict of tensors. This assumes that | |
| 1. All the tensor in tensors have the same dim0 | |
| 2. Only dim0 is the batch dim | |
| """ | |
| assert len(tensors) > 0, 'tensors must not be empty' | |
| assert num_batch_dims > 0, 'num_batch_dims must be greater than zero' | |
| if non_tensors is not None: | |
| assert num_batch_dims == 1, 'only support num_batch_dims=1 when non_tensors is not None.' | |
| if meta_info is None: | |
| meta_info = {} | |
| if non_tensors is None: | |
| non_tensors = {} | |
| assert isinstance(non_tensors, dict) | |
| # get and check batch size | |
| batch_size = None | |
| pivot_key = None | |
| for key, tensor in tensors.items(): | |
| if batch_size is None: | |
| batch_size = tensor.shape[:num_batch_dims] | |
| pivot_key = key | |
| else: | |
| current_batch = tensor.shape[:num_batch_dims] | |
| assert batch_size == current_batch, \ | |
| f'Not all the tensor in tensors have the same batch size with batch_dims={num_batch_dims}. Got {pivot_key} has {batch_size}, {key} has {current_batch}' | |
| for key, val in non_tensors.items(): | |
| non_tensors[key] = np.array(val, dtype=object) | |
| tensor_dict = TensorDict(source=tensors, batch_size=batch_size) | |
| return cls(batch=tensor_dict, non_tensor_batch=non_tensors, meta_info=meta_info) | |
| def to(self, device) -> 'DataProto': | |
| """move the batch to device | |
| Args: | |
| device (torch.device, str): torch device | |
| Returns: | |
| DataProto: the current DataProto | |
| """ | |
| if self.batch is not None: | |
| self.batch = self.batch.to(device) | |
| return self | |
| def select(self, batch_keys=None, non_tensor_batch_keys=None, meta_info_keys=None, deepcopy=False) -> 'DataProto': | |
| """Select a subset of the DataProto via batch_keys and meta_info_keys | |
| Args: | |
| batch_keys (list, optional): a list of strings indicating the keys in batch to select | |
| meta_info_keys (list, optional): a list of keys indicating the meta info to select | |
| Returns: | |
| DataProto: the DataProto with the selected batch_keys and meta_info_keys | |
| """ | |
| # TODO (zhangchi.usc1992) whether to copy | |
| if batch_keys is not None: | |
| batch_keys = tuple(batch_keys) | |
| sub_batch = self.batch.select(*batch_keys) | |
| else: | |
| sub_batch = self.batch | |
| if non_tensor_batch_keys is not None: | |
| non_tensor_batch = {key: val for key, val in self.non_tensor_batch.items() if key in non_tensor_batch_keys} | |
| else: | |
| non_tensor_batch = self.non_tensor_batch | |
| if deepcopy: | |
| non_tensor_batch = copy.deepcopy(non_tensor_batch) | |
| if meta_info_keys is not None: | |
| sub_meta_info = {key: val for key, val in self.meta_info.items() if key in meta_info_keys} | |
| else: | |
| sub_meta_info = self.meta_info | |
| if deepcopy: | |
| sub_meta_info = copy.deepcopy(sub_meta_info) | |
| return DataProto(batch=sub_batch, non_tensor_batch=non_tensor_batch, meta_info=sub_meta_info) | |
| def pop(self, batch_keys=None, non_tensor_batch_keys=None, meta_info_keys=None) -> 'DataProto': | |
| """Pop a subset of the DataProto via `batch_keys` and `meta_info_keys` | |
| Args: | |
| batch_keys (list, optional): a list of strings indicating the keys in batch to pop | |
| meta_info_keys (list, optional): a list of keys indicating the meta info to pop | |
| Returns: | |
| DataProto: the DataProto with the poped batch_keys and meta_info_keys | |
| """ | |
| assert batch_keys is not None | |
| if meta_info_keys is None: | |
| meta_info_keys = [] | |
| if non_tensor_batch_keys is None: | |
| non_tensor_batch_keys = [] | |
| tensors = {} | |
| # tensor batch | |
| for key in batch_keys: | |
| assert key in self.batch.keys() | |
| tensors[key] = self.batch.pop(key) | |
| non_tensors = {} | |
| # non tensor batch | |
| for key in non_tensor_batch_keys: | |
| assert key in self.non_tensor_batch.keys() | |
| non_tensors[key] = self.non_tensor_batch.pop(key) | |
| meta_info = {} | |
| for key in meta_info_keys: | |
| assert key in self.meta_info.keys() | |
| meta_info[key] = self.meta_info.pop(key) | |
| return DataProto.from_dict(tensors=tensors, non_tensors=non_tensors, meta_info=meta_info) | |
| def rename(self, old_keys=None, new_keys=None) -> 'DataProto': | |
| """ | |
| Note that this function only rename the key in the batch | |
| """ | |
| def validate_input(keys): | |
| if keys is not None: | |
| if isinstance(keys, str): | |
| keys = [keys] | |
| elif isinstance(keys, list): | |
| pass | |
| else: | |
| raise TypeError(f'keys must be a list or a string, but got {type(keys)}') | |
| return keys | |
| old_keys = validate_input(old_keys) | |
| new_keys = validate_input(new_keys) | |
| if len(new_keys) != len(old_keys): | |
| raise ValueError( | |
| f'new_keys and old_keys must have the same length, but got {len(new_keys)} and {len(old_keys)}') | |
| self.batch.rename_key_(tuple(old_keys), tuple(new_keys)) | |
| return self | |
| def union(self, other: 'DataProto') -> 'DataProto': | |
| """Union with another DataProto. Union batch and meta_info separately. | |
| Throw an error if | |
| - there are conflict keys in batch and they are not equal | |
| - the batch size of two data batch is not the same | |
| - there are conflict keys in meta_info and they are not the same. | |
| Args: | |
| other (DataProto): another DataProto to union | |
| Returns: | |
| DataProto: the DataProto after union | |
| """ | |
| self.batch = union_tensor_dict(self.batch, other.batch) | |
| self.non_tensor_batch = union_numpy_dict(self.non_tensor_batch, other.non_tensor_batch) | |
| self.meta_info = union_two_dict(self.meta_info, other.meta_info) | |
| return self | |
| def make_iterator(self, mini_batch_size, epochs, seed=None, dataloader_kwargs=None): | |
| """Make an iterator from the DataProto. This is built upon that TensorDict can be used as a normal Pytorch | |
| dataset. See https://pytorch.org/tensordict/tutorials/data_fashion for more details. | |
| Args: | |
| mini_batch_size (int): mini-batch size when iterating the dataset. We require that | |
| ``batch.batch_size[0] % mini_batch_size == 0`` | |
| epochs (int): number of epochs when iterating the dataset. | |
| dataloader_kwargs: internally, it returns a DataLoader over the batch. | |
| The dataloader_kwargs is the kwargs passed to the DataLoader | |
| Returns: | |
| Iterator: an iterator that yields a mini-batch data at a time. The total number of iteration steps is | |
| ``self.batch.batch_size * epochs // mini_batch_size`` | |
| """ | |
| assert self.batch.batch_size[0] % mini_batch_size == 0, f"{self.batch.batch_size[0]} % {mini_batch_size} != 0" | |
| # we can directly create a dataloader from TensorDict | |
| if dataloader_kwargs is None: | |
| dataloader_kwargs = {} | |
| if seed is not None: | |
| generator = torch.Generator() | |
| generator.manual_seed(seed) | |
| else: | |
| generator = None | |
| assert isinstance(dataloader_kwargs, Dict) | |
| train_dataloader = DataLoader(dataset=self, | |
| batch_size=mini_batch_size, | |
| collate_fn=collate_fn, | |
| generator=generator, | |
| **dataloader_kwargs) | |
| def get_data(): | |
| for _ in range(epochs): | |
| for d in train_dataloader: | |
| d.meta_info = self.meta_info | |
| yield d | |
| return iter(get_data()) | |
| def chunk(self, chunks: int) -> List['DataProto']: | |
| """Split the batch among dim=0 into chunks. The meta_info is passed to each DataProto after split. | |
| Args: | |
| chunks (int): the number of chunks to split on dim=0 | |
| Returns: | |
| List[DataProto]: a list of DataProto after splitting | |
| """ | |
| assert len( | |
| self) % chunks == 0, f'only support equal chunk. Got size of DataProto {len(self)} and chunk {chunks}.' | |
| if self.batch is not None: | |
| batch_lst = self.batch.chunk(chunks=chunks, dim=0) | |
| else: | |
| batch_lst = [None for _ in range(chunks)] | |
| non_tensor_batch_lst = [{} for _ in range(chunks)] | |
| for key, val in self.non_tensor_batch.items(): | |
| assert isinstance(val, np.ndarray) | |
| non_tensor_lst = np.array_split(val, chunks) | |
| assert len(non_tensor_lst) == chunks | |
| for i in range(chunks): | |
| non_tensor_batch_lst[i][key] = non_tensor_lst[i] | |
| output = [] | |
| for i in range(chunks): | |
| output.append( | |
| DataProto(batch=batch_lst[i], non_tensor_batch=non_tensor_batch_lst[i], meta_info=self.meta_info)) | |
| return output | |
| def concat(data: List['DataProto']) -> 'DataProto': | |
| """Concat a list of DataProto. The batch is concatenated among dim=0. | |
| The meta_info is assumed to be identical and will use the first one. | |
| Args: | |
| data (List[DataProto]): list of DataProto | |
| Returns: | |
| DataProto: concatenated DataProto | |
| """ | |
| batch_lst = [] | |
| for batch in data: | |
| batch_lst.append(batch.batch) | |
| if batch_lst[0] is not None: | |
| new_batch = torch.cat(batch_lst, dim=0) | |
| else: | |
| new_batch = None | |
| non_tensor_batch = list_of_dict_to_dict_of_list(list_of_dict=[d.non_tensor_batch for d in data]) | |
| for key, val in non_tensor_batch.items(): | |
| non_tensor_batch[key] = np.concatenate(val, axis=0) | |
| return DataProto(batch=new_batch, non_tensor_batch=non_tensor_batch, meta_info=data[0].meta_info) | |
| def reorder(self, indices): | |
| """ | |
| Note that this operation is in-place | |
| """ | |
| indices_np = indices.detach().numpy() | |
| self.batch = self.batch[indices] | |
| self.non_tensor_batch = {key: val[indices_np] for key, val in self.non_tensor_batch.items()} | |
| def repeat(self, repeat_times=2, interleave=True): | |
| """ | |
| Repeat the batch data a specified number of times. | |
| Args: | |
| repeat_times (int): Number of times to repeat the data. | |
| interleave (bool): Whether to interleave the repeated data. | |
| Returns: | |
| DataProto: A new DataProto with repeated data. | |
| """ | |
| if self.batch is not None: | |
| if interleave: | |
| # Interleave the data | |
| repeated_tensors = { | |
| key: tensor.repeat_interleave(repeat_times, dim=0) for key, tensor in self.batch.items() | |
| } | |
| else: | |
| # Stack the data | |
| repeated_tensors = { | |
| key: tensor.unsqueeze(0).expand(repeat_times, *tensor.shape).reshape(-1, *tensor.shape[1:]) | |
| for key, tensor in self.batch.items() | |
| } | |
| repeated_batch = TensorDict( | |
| source=repeated_tensors, | |
| batch_size=(self.batch.batch_size[0] * repeat_times,), | |
| ) | |
| else: | |
| repeated_batch = None | |
| repeated_non_tensor_batch = {} | |
| for key, val in self.non_tensor_batch.items(): | |
| if interleave: | |
| repeated_non_tensor_batch[key] = np.repeat(val, repeat_times, axis=0) | |
| else: | |
| repeated_non_tensor_batch[key] = np.tile(val, (repeat_times,) + (1,) * (val.ndim - 1)) | |
| return DataProto( | |
| batch=repeated_batch, | |
| non_tensor_batch=repeated_non_tensor_batch, | |
| meta_info=self.meta_info, | |
| ) | |
| import ray | |
| class DataProtoFuture: | |
| """ | |
| DataProtoFuture aims to eliminate actual data fetching on driver. By doing so, the driver doesn't have to wait | |
| for data so that asynchronous execution becomes possible. | |
| DataProtoFuture contains a list of futures from another WorkerGroup of size world_size. | |
| - collect_fn is a Callable that reduces the list of futures to a DataProto | |
| - dispatch_fn is a Callable that partitions the DataProto into a list of DataProto of size world_size and then select | |
| Potential issue: we can optimize dispatch_fn(collect_fn) such that only needed data is fetched on destination | |
| - DataProtoFuture only supports directly passing from the output of a method to another input. You can't perform any | |
| operation on the DataProtoFuture in driver. | |
| """ | |
| collect_fn: Callable | |
| futures: List[ray.ObjectRef] | |
| dispatch_fn: Callable = None | |
| def concat(data: List[ray.ObjectRef]) -> 'DataProtoFuture': | |
| output = DataProtoFuture(collect_fn=DataProto.concat, futures=data) | |
| return output | |
| def chunk(self, chunks: int) -> List['DataProtoFuture']: | |
| from functools import partial | |
| arg_future_lst = [] | |
| for i in range(chunks): | |
| # note that we can't directly pass i and chunks | |
| def dispatch_fn(x, i, chunks): | |
| return x.chunk(chunks=chunks)[i] | |
| arg_future = DataProtoFuture(collect_fn=self.collect_fn, | |
| dispatch_fn=partial(dispatch_fn, i=i, chunks=chunks), | |
| futures=self.futures) | |
| arg_future_lst.append(arg_future) | |
| return arg_future_lst | |
| def get(self): | |
| output = ray.get(self.futures) # dp_size. | |
| for o in output: | |
| assert isinstance(o, DataProto) | |
| output = self.collect_fn(output) # select dp, concat | |
| if self.dispatch_fn is not None: | |
| output = self.dispatch_fn(output) # split in batch dim, select using dp | |
| return output | |