'''simple docstring'''




_a   :	List[str] 							=   "0.21.0"

from .accelerator import Accelerator
from .big_modeling import (
    cpu_offload,
    cpu_offload_with_hook,
    disk_offload,
    dispatch_model,
    init_empty_weights,
    init_on_device,
    load_checkpoint_and_dispatch,
)
from .data_loader import skip_first_batches
from .launchers import debug_launcher, notebook_launcher
from .state import PartialState
from .utils import (
    DeepSpeedPlugin,
    DistributedDataParallelKwargs,
    DistributedType,
    FullyShardedDataParallelPlugin,
    GradScalerKwargs,
    InitProcessGroupKwargs,
    find_executable_batch_size,
    infer_auto_device_map,
    is_rich_available,
    load_checkpoint_in_model,
    synchronize_rng_states,
)


if is_rich_available():
   from .utils import rich







'''simple docstring'''




def _lowercase	(      lowerCamelCase__							,    lowerCamelCase__						)					->       float:





       """simple docstring"""


       if discount_rate < 0:
              raise ValueError("Discount rate cannot be negative"						)
       if not cash_flows:
              raise ValueError("Cash flows list cannot be empty"						)
       __UpperCAmelCase  :				Tuple       				=		sum(
           cash_flow / ((1 + discount_rate) ** i) for i, cash_flow in enumerate(lowerCamelCase__						)						)
       return round(lowerCamelCase__							,    ndigits=2						)


if __name__ == "__main__":
   import doctest

   doctest.testmod()






