

from collections.abc import Callable
from math import pi, sqrt
from random import uniform
from statistics import mean
def     UpperCAmelCase_       (						_A    ):





     '''simple docstring'''




     def is_in_circle(_A				,		_A    ) -> bool:
          SCREAMING_SNAKE_CASE__   =   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
     SCREAMING_SNAKE_CASE__   =   mean(
         int(is_in_circle(uniform(-1.0				,		1.0    )				,		uniform(-1.0				,		1.0    )    )    )
         for _ in range(snake_case_    )    )
     # The ratio of the area for circle to square is pi/4.
     SCREAMING_SNAKE_CASE__   =   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_       (						_A				,		_A				,		_A = 0.0				,		_A = 1.0				,		):





     '''simple docstring'''




     return mean(
         function_to_integrate(uniform(snake_case_				,		snake_case_    )    ) for _ in range(snake_case_    )    ) * (max_value - min_value)
def     UpperCAmelCase_       (						_A				,		_A = 0.0				,		_A = 1.0    ):





     '''simple docstring'''




     def identity_function(_A    ) -> float:
          return x

     SCREAMING_SNAKE_CASE__   =   area_under_curve_estimator(
         snake_case_				,		snake_case_				,		snake_case_				,		snake_case_    )
     SCREAMING_SNAKE_CASE__   =   (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_       (						_A    ):





     '''simple docstring'''




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

     SCREAMING_SNAKE_CASE__   =   area_under_curve_estimator(
         snake_case_				,		snake_case_				,		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 warnings

from .generation import TFGenerationMixin






class 	UpperCAmelCase__		(	A__	):






  """simple docstring"""


  warnings.warn(
      "Importing `TFGenerationMixin` from `src/transformers/generation_tf_utils.py` is deprecated and will "
      "be removed in Transformers v5. Import as `from transformers import TFGenerationMixin` instead."						,					A__						,					)


