def batch_by_size(
    indices,
    num_tokens_fn,
    num_tokens_vec=None,
    max_tokens=None,
    max_sentences=None,
    required_batch_size_multiple=1,
    fixed_shapes=None,
):
    """
    Yield mini-batches of indices bucketed by size. Batches may contain
    sequences of different lengths.

    Args:
        indices (List[int]): ordered list of dataset indices
        num_tokens_fn (callable): function that returns the number of tokens at
            a given index
        num_tokens_vec (List[int], optional): precomputed vector of the number
            of tokens for each index in indices (to enable faster batch generation)
        max_tokens (int, optional): max number of tokens in each batch
            (default: None).
        max_sentences (int, optional): max number of sentences in each
            batch (default: None).
        required_batch_size_multiple (int, optional): require batch size to
            be less than N or a multiple of N (default: 1).
        fixed_shapes (List[Tuple[int, int]], optional): if given, batches will
            only be created with the given shapes. *max_sentences* and
            *required_batch_size_multiple* will be ignored (default: None).
    """
    try:
        from fairseq.data.data_utils_fast import (
            batch_by_size_fn,
            batch_by_size_vec,
            batch_fixed_shapes_fast,
        )
    except ImportError:
        raise ImportError(
            "Please build Cython components with: "
            "`python setup.py build_ext --inplace`"
        )
    except ValueError:
        raise ValueError(
            "Please build (or rebuild) Cython components with `python setup.py build_ext --inplace`."
        )

    # added int() to avoid TypeError: an integer is required
    max_tokens = int(max_tokens) if max_tokens is not None else -1
    max_sentences = max_sentences if max_sentences is not None else -1
    bsz_mult = required_batch_size_multiple

    if not isinstance(indices, np.ndarray):
        indices = np.fromiter(indices, dtype=np.int64, count=-1)

    if num_tokens_vec is not None and not isinstance(num_tokens_vec, np.ndarray):
        num_tokens_vec = np.fromiter(num_tokens_vec, dtype=np.int64, count=-1)

    if fixed_shapes is None:
        if num_tokens_vec is None:
            return batch_by_size_fn(
                indices,
                num_tokens_fn,
                max_tokens,
                max_sentences,
                bsz_mult,
            )
        else:
            return batch_by_size_vec(
                indices,
                num_tokens_vec,
                max_tokens,
                max_sentences,
                bsz_mult,
            )

    else:
        fixed_shapes = np.array(fixed_shapes, dtype=np.int64)
        sort_order = np.lexsort(
            [
                fixed_shapes[:, 1].argsort(),  # length
                fixed_shapes[:, 0].argsort(),  # bsz
            ]
        )
        fixed_shapes_sorted = fixed_shapes[sort_order]
        return batch_fixed_shapes_fast(indices, num_tokens_fn, fixed_shapes_sorted)

    Yield mini-batches of indices bucketed by size. Batches may contain
    sequences of different lengths.

    Args:
        indices (List[int]): ordered list of dataset indices
        num_tokens_fn (callable): function that returns the number of tokens at
            a given index
        num_tokens_vec (List[int], optional): precomputed vector of the number
            of tokens for each index in indices (to enable faster batch generation)
        max_tokens (int, optional): max number of tokens in each batch
            (default: None).
        max_sentences (int, optional): max number of sentences in each
            batch (default: None).
        required_batch_size_multiple (int, optional): require batch size to
            be less than N or a multiple of N (default: 1).
        fixed_shapes (List[Tuple[int, int]], optional): if given, batches will
            only be created with the given shapes. *max_sentences* and
            *required_batch_size_multiple* will be ignored (default: None).
    
structured_prompting/fairseq-version/fairseq/fairseq/data/data_utils.py