




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

def 	A ( _SCREAMING_SNAKE_CASE       )      ->					Optional[Any]:





       def is_in_circle(_SCREAMING_SNAKE_CASE					,_SCREAMING_SNAKE_CASE       ) -> bool:
              lowerCamelCase  : Tuple     					=   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  : int     					=   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  : Dict     					=   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 	A ( _SCREAMING_SNAKE_CASE					,_SCREAMING_SNAKE_CASE					,_SCREAMING_SNAKE_CASE = 0.0					,_SCREAMING_SNAKE_CASE = 1.0					,)      ->					Optional[int]:
       return mean(
           function_to_integrate(uniform(a__					,a__       )       ) for _ in range(a__       )       ) * (max_value - min_value)

def 	A ( _SCREAMING_SNAKE_CASE					,_SCREAMING_SNAKE_CASE = 0.0					,_SCREAMING_SNAKE_CASE = 1.0       )      ->					Optional[Any]:





       def identity_function(_SCREAMING_SNAKE_CASE       ) -> float:
              return x

       lowerCamelCase  : Tuple     					=   area_under_curve_estimator(
           a__					,a__					,a__					,a__       )
       lowerCamelCase  : str     					=   (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 	A ( _SCREAMING_SNAKE_CASE       )      ->					Dict:





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

       lowerCamelCase  : Optional[int]     					=   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()













import os

import pytest

from transformers.dynamic_module_utils import get_imports


UpperCamelCase__           =			"\nimport os\n"

UpperCamelCase__           =			"\ndef foo():\n    import os\n    return False\n"

UpperCamelCase__           =			"\ndef foo():\n    def bar():\n        if True:\n            import os\n        return False\n    return bar()\n"

UpperCamelCase__           =			"\nimport os\n\ntry:\n    import bar\nexcept ImportError:\n    raise ValueError()\n"

UpperCamelCase__           =			"\nimport os\n\ndef foo():\n    try:\n        import bar\n    except ImportError:\n        raise ValueError()\n"

UpperCamelCase__           =			"\nimport os\n\ntry:\n    import bar\nexcept (ImportError, AttributeError):\n    raise ValueError()\n"

UpperCamelCase__           =			"\nimport os\n\ntry:\n    import bar\nexcept ImportError as e:\n    raise ValueError()\n"

UpperCamelCase__           =			"\nimport os\n\ntry:\n    import bar\nexcept:\n    raise ValueError()\n"

UpperCamelCase__           =			"\nimport os\n\ntry:\n    import bar\n    import baz\nexcept ImportError:\n    raise ValueError()\n"

UpperCamelCase__           =			"\nimport os\n\ntry:\n    import bar\n    import baz\nexcept ImportError:\n    x = 1\n    raise ValueError()\n"

UpperCamelCase__           =			[
    TOP_LEVEL_IMPORT,
    IMPORT_IN_FUNCTION,
    DEEPLY_NESTED_IMPORT,
    TOP_LEVEL_TRY_IMPORT,
    GENERIC_EXCEPT_IMPORT,
    MULTILINE_TRY_IMPORT,
    MULTILINE_BOTH_IMPORT,
    MULTIPLE_EXCEPTS_IMPORT,
    EXCEPT_AS_IMPORT,
    TRY_IMPORT_IN_FUNCTION,
]





@pytest.mark.parametrize("""case""" ,      a__							)
def      _UpperCamelCase  (a__ :Any ,      a__ :Optional[Any]							):






							"""simple docstring"""





							UpperCamelCase__					  =      os.path.join(a__ ,      """test_file.py"""							)
							with open(a__ ,      """w"""							) as _tmp_file:
														_tmp_file.write(a__							)

							UpperCamelCase__					  =      get_imports(a__							)
							assert parsed_imports == ["os"]




