


'''simple docstring'''

import math





def __snake_case					(      UpperCAmelCase_						:						float					,				UpperCAmelCase_						:						float		):
 return math.pow(UpperCAmelCase_					,				2		) - a





def __snake_case					(      UpperCAmelCase_						:						float		):
 return 2 * x





def __snake_case					(      UpperCAmelCase_						:						float		):
 lowerCamelCase_      =  2.0

 while start <= a:
  lowerCamelCase_      =  math.pow(UpperCAmelCase_					,				2		)

 return start





def __snake_case					(      UpperCAmelCase_						:						float					,				UpperCAmelCase_						:						int = 9999					,				UpperCAmelCase_						:						float = 0.00_0000_0000_0001		):

 if a < 0:
  raise ValueError("math domain error"		)

 lowerCamelCase_      =  get_initial_point(UpperCAmelCase_		)

 for _ in range(UpperCAmelCase_		):
  lowerCamelCase_      =  value
  lowerCamelCase_      =  value - fx(UpperCAmelCase_					,				UpperCAmelCase_		) / fx_derivative(UpperCAmelCase_		)
  if abs(prev_value - value		) < tolerance:
   return value

 return value


if __name__ == "__main__":
     from doctest import testmod

     testmod()







'''simple docstring'''

a_  :				Any						= """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



