

'''simple docstring'''



from __future__ import annotations

import math
from collections.abc import Callable







def    a__       (  a__      ,    a__      ,    a__      ,    a__ = 1_00      ,    ):




     """simple docstring"""


     __SCREAMING_SNAKE_CASE     =      x_start
     __SCREAMING_SNAKE_CASE     =      fnc(a__						)
     __SCREAMING_SNAKE_CASE     =      0.0

     for _ in range(a__						):
          # Approximates curve as a sequence of linear lines and sums their length
          __SCREAMING_SNAKE_CASE     =      (x_end - x_start) / steps + xa
          __SCREAMING_SNAKE_CASE     =      fnc(a__						)
          length += math.hypot(xa - xa      ,    fxa - fxa						)

          # Increment step
          __SCREAMING_SNAKE_CASE     =      xa
          __SCREAMING_SNAKE_CASE     =      fxa

     return length


if __name__ == "__main__":







  def    a__       (  a__						):




       """simple docstring"""


       return math.sin(10 * x						)

  print('f(x) = sin(10 * x)')
  print('The length of the curve from x = -10 to x = 10 is:')
  UpperCAmelCase :       Union[str, Any]			   =     1_0
  while i <= 1_0_0_0_0_0:
    print(f"""With {i} steps: {line_length(f, -1_0, 1_0, i)}""")
    i *= 1_0









'''simple docstring'''



# Copyright 2021 The HuggingFace Team. All rights reserved.
#
# 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.

import argparse

from ...utils.dataclasses import (
    ComputeEnvironment,
    DistributedType,
    DynamoBackend,
    PrecisionType,
    SageMakerDistributedType,
)
from ..menu import BulletMenu


UpperCAmelCase :       Any			   =     [
    'EAGER',
    'AOT_EAGER',
    'INDUCTOR',
    'NVFUSER',
    'AOT_NVFUSER',
    'AOT_CUDAGRAPHS',
    'OFI',
    'FX2TRT',
    'ONNXRT',
    'IPEX',
]







def    a__       (  a__      ,    a__=None      ,    a__=None      ,    a__=None						):




     """simple docstring"""


     __SCREAMING_SNAKE_CASE     =      True
     while ask_again:
          __SCREAMING_SNAKE_CASE     =      input(a__						)
          try:
               if default is not None and len(a__						) == 0:
                    return default
               return convert_value(a__						) if convert_value is not None else result
          except Exception:
               if error_message is not None:
                    print(a__						)







def    a__       (  a__      ,    a__=[]      ,    a__=None      ,    a__=0						):




     """simple docstring"""


     __SCREAMING_SNAKE_CASE     =      BulletMenu(a__      ,    a__						)
     __SCREAMING_SNAKE_CASE     =      menu.run(default_choice=a__						)
     return convert_value(a__						) if convert_value is not None else result







def    a__       (  a__						):




     """simple docstring"""


     __SCREAMING_SNAKE_CASE     =      int(a__						)
     return ComputeEnvironment(["""LOCAL_MACHINE""", """AMAZON_SAGEMAKER"""][value]						)







def    a__       (  a__						):




     """simple docstring"""


     __SCREAMING_SNAKE_CASE     =      int(a__						)
     return DistributedType(["""NO""", """MULTI_CPU""", """MULTI_XPU""", """MULTI_GPU""", """MULTI_NPU""", """TPU"""][value]						)







def    a__       (  a__						):




     """simple docstring"""


     __SCREAMING_SNAKE_CASE     =      int(a__						)
     return DynamoBackend(DYNAMO_BACKENDS[value]						).value







def    a__       (  a__						):




     """simple docstring"""


     __SCREAMING_SNAKE_CASE     =      int(a__						)
     return PrecisionType(["""no""", """fp16""", """bf16""", """fp8"""][value]						)







def    a__       (  a__						):




     """simple docstring"""


     __SCREAMING_SNAKE_CASE     =      int(a__						)
     return SageMakerDistributedType(["""NO""", """DATA_PARALLEL""", """MODEL_PARALLEL"""][value]						)







def    a__       (  a__						):




     """simple docstring"""


     return {"yes": True, "no": False}[value.lower()]







class 						lowerCAmelCase__   (      argparse.RawDescriptionHelpFormatter					):



 """simple docstring"""



 def       UpperCAmelCase__		(		self					:       str					,							__SCREAMING_SNAKE_CASE					:       Optional[Any]					,							__SCREAMING_SNAKE_CASE					:       Dict					,							__SCREAMING_SNAKE_CASE					:       Optional[int]					,							__SCREAMING_SNAKE_CASE					:       List[Any]			)  -> Dict:


      """simple docstring"""




      __SCREAMING_SNAKE_CASE     =      super()._format_usage(__SCREAMING_SNAKE_CASE					,							__SCREAMING_SNAKE_CASE					,							__SCREAMING_SNAKE_CASE					,							__SCREAMING_SNAKE_CASE			)
      __SCREAMING_SNAKE_CASE     =      usage.replace("""<command> [<args>] """					,							""""""			)
      return usage






