






'''simple docstring'''







from collections.abc import Callable
from math import pi, sqrt
from random import uniform
from statistics import mean





def  SCREAMING_SNAKE_CASE_       (UpperCamelCase      )      ->       Tuple:

							# A local function to see if a dot lands in the circle.
							def is_in_circle(UpperCamelCase				,			UpperCamelCase      ) -> bool:
														lowerCamelCase__					:	List[Any]         =       sqrt((x**2) + (y**2)      )
														# Our circle has a radius of 1, so a distance
														# greater than 1 would land outside the circle.
														return distance_from_centre <= 1

							# The proportion of guesses that landed in the circle
							lowerCamelCase__					:	Dict         =       mean(
							    int(is_in_circle(uniform(-1.0				,			1.0      )				,			uniform(-1.0				,			1.0      )      )      )
							    for _ in range(a_      )      )
							# The ratio of the area for circle to square is pi/4.
							lowerCamelCase__					:	List[str]         =       proportion * 4
							print(f'''The estimated value of pi is {pi_estimate}'''      )
							print(f'''The numpy value of pi is {pi}'''      )
							print(f'''The total error is {abs(pi - pi_estimate      )}'''      )





def  SCREAMING_SNAKE_CASE_       (UpperCamelCase				,			UpperCamelCase				,			UpperCamelCase = 0.0				,			UpperCamelCase = 1.0				,			)      ->       float:
							return mean(
							    function_to_integrate(uniform(a_				,			a_      )      ) for _ in range(a_      )      ) * (max_value - min_value)





def  SCREAMING_SNAKE_CASE_       (UpperCamelCase				,			UpperCamelCase = 0.0				,			UpperCamelCase = 1.0      )      ->       None:

							def identity_function(UpperCamelCase      ) -> float:
														return x

							lowerCamelCase__					:	str         =       area_under_curve_estimator(
							    a_				,			a_				,			a_				,			a_      )
							lowerCamelCase__					:	int         =       (max_value * max_value - min_value * min_value) / 2

							print("""******************"""      )
							print(f'''Estimating area under y=x where x varies from {min_value} to {max_value}'''      )
							print(f'''Estimated value is {estimated_value}'''      )
							print(f'''Expected value is {expected_value}'''      )
							print(f'''Total error is {abs(estimated_value - expected_value      )}'''      )
							print("""******************"""      )





def  SCREAMING_SNAKE_CASE_       (UpperCamelCase      )      ->       None:

							def function_to_integrate(UpperCamelCase      ) -> float:
														return sqrt(4.0 - x * x      )

							lowerCamelCase__					:	Tuple         =       area_under_curve_estimator(
							    a_				,			a_				,			0.0				,			2.0      )

							print("""******************"""      )
							print("""Estimating pi using area_under_curve_estimator"""      )
							print(f'''Estimated value is {estimated_value}'''      )
							print(f'''Expected value is {pi}'''      )
							print(f'''Total error is {abs(estimated_value - pi      )}'''      )
							print("""******************"""      )


if __name__ == "__main__":
			import doctest

			doctest.testmod()








"""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.

from argparse import ArgumentParser

from accelerate.commands.config import get_config_parser
from accelerate.commands.env import env_command_parser
from accelerate.commands.launch import launch_command_parser
from accelerate.commands.test import test_command_parser
from accelerate.commands.tpu import tpu_command_parser



def      __lowerCamelCase   (							)			->      Any:
      __SCREAMING_SNAKE_CASE   :Tuple						=  ArgumentParser('''Accelerate CLI tool''' ,   usage='''accelerate <command> [<args>]''' ,   allow_abbrev=a_							)
      __SCREAMING_SNAKE_CASE   :str						=  parser.add_subparsers(help='''accelerate command helpers'''							)

      # Register commands
      get_config_parser(subparsers=a_							)
      env_command_parser(subparsers=a_							)
      launch_command_parser(subparsers=a_							)
      tpu_command_parser(subparsers=a_							)
      test_command_parser(subparsers=a_							)

      # Let's go
      __SCREAMING_SNAKE_CASE   :int						=  parser.parse_args()

      if not hasattr(a_ ,   '''func'''							):
            parser.print_help()
            exit(1							)

      # Run
      args.func(a_							)


if __name__ == "__main__":
  main()