



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


def 			UpperCamelCase(  __UpperCamelCase							:		int ):

		# A local function to see if a dot lands in the circle.
		def is_in_circle(__UpperCamelCase							:		float     ,__UpperCamelCase							:		float ) -> bool:
				lowerCAmelCase_			:     int									= 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_			:     Optional[int]									= mean(
		    int(is_in_circle(uniform(-1.0     ,1.0 )     ,uniform(-1.0     ,1.0 ) ) )
		    for _ in range(__UpperCamelCase ) )
		# The ratio of the area for circle to square is pi/4.
		lowerCAmelCase_			:     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 			UpperCamelCase(  __UpperCamelCase							:		int     ,__UpperCamelCase							:		Callable[[float], float]     ,__UpperCamelCase							:		float = 0.0     ,__UpperCamelCase							:		float = 1.0     ,):
		return mean(
		    function_to_integrate(uniform(__UpperCamelCase     ,__UpperCamelCase ) ) for _ in range(__UpperCamelCase ) ) * (max_value - min_value)


def 			UpperCamelCase(  __UpperCamelCase							:		int     ,__UpperCamelCase							:		float = 0.0     ,__UpperCamelCase							:		float = 1.0 ):

		def identity_function(__UpperCamelCase							:		float ) -> float:
				return x

		lowerCAmelCase_			:     Optional[int]									= area_under_curve_estimator(
		    __UpperCamelCase     ,__UpperCamelCase     ,__UpperCamelCase     ,__UpperCamelCase )
		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 			UpperCamelCase(  __UpperCamelCase							:		int ):

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

		lowerCAmelCase_			:     Optional[int]									= area_under_curve_estimator(
		    __UpperCamelCase     ,__UpperCamelCase     ,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


_lowerCamelCase	:		Any							       =   """
import os
"""

_lowerCamelCase	:		Optional[int]							       =   """
def foo():
    import os
    return False
"""

_lowerCamelCase	:		List[Any]							       =   """
def foo():
    def bar():
        if True:
            import os
        return False
    return bar()
"""

_lowerCamelCase	:		List[Any]							       =   """
import os

try:
    import bar
except ImportError:
    raise ValueError()
"""

_lowerCamelCase	:		Union[str, Any]							       =   """
import os

def foo():
    try:
        import bar
    except ImportError:
        raise ValueError()
"""

_lowerCamelCase	:		List[Any]							       =   """
import os

try:
    import bar
except (ImportError, AttributeError):
    raise ValueError()
"""

_lowerCamelCase	:		List[Any]							       =   """
import os

try:
    import bar
except ImportError as e:
    raise ValueError()
"""

_lowerCamelCase	:		str							       =   """
import os

try:
    import bar
except:
    raise ValueError()
"""

_lowerCamelCase	:		Optional[Any]							       =   """
import os

try:
    import bar
    import baz
except ImportError:
    raise ValueError()
"""

_lowerCamelCase	:		Any							       =   """
import os

try:
    import bar
    import baz
except ImportError:
    x = 1
    raise ValueError()
"""

_lowerCamelCase	:		Dict							       =   [
    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''' ,				lowercase_						)
def SCREAMING_SNAKE_CASE				(       lowercase_ ,				lowercase_						)   ->       int:



       """simple docstring"""

       A__       =    os.path.join(lowercase_ ,				'''test_file.py'''						)
       with open(lowercase_ ,				'''w'''						) as _tmp_file:
              _tmp_file.write(lowercase_						)

       A__       =    get_imports(lowercase_						)
       assert parsed_imports == ["os"]


