import random
class 							a_					:






 '''simple docstring'''






 def __init__(     self   :    Optional[int]     ,       lowercase__   :    float     ,       lowercase__   :    float):







        '''simple docstring'''



        lowerCAmelCase__	      =   x
        lowerCAmelCase__	      =   y




 def 						__snake_case		(     self   :    Union[str, Any]):







        '''simple docstring'''



        return (self.x**2 + self.y**2) <= 1




 @classmethod
 def 						__snake_case		(     cls   :    Any):







        '''simple docstring'''



        return cls(x=random.random()     ,       y=random.random())






def  __lowerCamelCase						(		lowerCAmelCase__      ):
       if number_of_simulations < 1:
              raise ValueError('At least one simulation is necessary to estimate PI.'      )

       lowerCAmelCase__	      =   0
       for _ in range(lowerCAmelCase__      ):
              lowerCAmelCase__	      =   Point.random_unit_square()

              if random_point.is_in_unit_circle():
                     number_in_unit_circle += 1

       return 4 * number_in_unit_circle / number_of_simulations


if __name__ == "__main__":
    # import doctest

    # doctest.testmod()
    from math import pi

    lowerCAmelCase__      		=					'Please enter the desired number of Monte Carlo simulations: '
    lowerCAmelCase__      		=					estimate_pi(int(input(prompt).strip()))
    print(F'An estimate of PI is {my_pi} with an error of {abs(my_pi - pi)}')

import unittest

from cer import CER


lowerCAmelCase__      		=					CER()
class 							a_					(		unittest.TestCase		):






 '''simple docstring'''






 def 						__snake_case		(     self   :    Any):







        '''simple docstring'''



        lowerCAmelCase__	      =   ['White House']
        lowerCAmelCase__	      =   ['white house']
        # S = 2, D = 0, I = 0, N = 11, CER = 2 / 11
        lowerCAmelCase__	      =   cer.compute(predictions=lowercase__     ,       references=lowercase__)
        self.assertTrue(abs(char_error_rate - 0.1_818_181_818) < 1e-6)




 def 						__snake_case		(     self   :    List[Any]):







        '''simple docstring'''



        lowerCAmelCase__	      =   ['were wolf']
        lowerCAmelCase__	      =   ['werewolf']
        # S = 0, D = 0, I = 1, N = 9, CER = 1 / 9
        lowerCAmelCase__	      =   cer.compute(predictions=lowercase__     ,       references=lowercase__)
        self.assertTrue(abs(char_error_rate - 0.1_111_111) < 1e-6)

        lowerCAmelCase__	      =   ['werewolf']
        lowerCAmelCase__	      =   ['weae     wolf']
        # S = 1, D = 1, I = 0, N = 8, CER = 0.25
        lowerCAmelCase__	      =   cer.compute(predictions=lowercase__     ,       references=lowercase__)
        self.assertTrue(abs(char_error_rate - 0.25) < 1e-6)

        # consecutive whitespaces case 1
        lowerCAmelCase__	      =   ['were wolf']
        lowerCAmelCase__	      =   ['were               wolf']
        # S = 0, D = 0, I = 0, N = 9, CER = 0
        lowerCAmelCase__	      =   cer.compute(predictions=lowercase__     ,       references=lowercase__)
        self.assertTrue(abs(char_error_rate - 0.0) < 1e-6)

        # consecutive whitespaces case 2
        lowerCAmelCase__	      =   ['were   wolf']
        lowerCAmelCase__	      =   ['were               wolf']
        # S = 0, D = 0, I = 0, N = 9, CER = 0
        lowerCAmelCase__	      =   cer.compute(predictions=lowercase__     ,       references=lowercase__)
        self.assertTrue(abs(char_error_rate - 0.0) < 1e-6)




 def 						__snake_case		(     self   :    Optional[Any]):







        '''simple docstring'''



        lowerCAmelCase__	      =   ['werewolf']
        lowerCAmelCase__	      =   ['weaewolf']
        # S = 1, D = 0, I = 0, N = 8, CER = 0.125
        lowerCAmelCase__	      =   cer.compute(predictions=lowercase__     ,       references=lowercase__)
        self.assertTrue(abs(char_error_rate - 0.125) < 1e-6)




 def 						__snake_case		(     self   :    Tuple):







        '''simple docstring'''



        lowerCAmelCase__	      =   ['werewolf']
        lowerCAmelCase__	      =   ['wereawolf']
        # S = 0, D = 1, I = 0, N = 8, CER = 0.125
        lowerCAmelCase__	      =   cer.compute(predictions=lowercase__     ,       references=lowercase__)
        self.assertTrue(abs(char_error_rate - 0.125) < 1e-6)




 def 						__snake_case		(     self   :    Optional[int]):







        '''simple docstring'''



        lowerCAmelCase__	      =   ['werewolf']
        lowerCAmelCase__	      =   ['wereolf']
        # S = 0, D = 0, I = 1, N = 8, CER = 0.125
        lowerCAmelCase__	      =   cer.compute(predictions=lowercase__     ,       references=lowercase__)
        self.assertTrue(abs(char_error_rate - 0.125) < 1e-6)




 def 						__snake_case		(     self   :    str):







        '''simple docstring'''



        lowerCAmelCase__	      =   ['werewolf']
        lowerCAmelCase__	      =   cer.compute(predictions=lowercase__     ,       references=lowercase__)
        self.assertEqual(lowercase__     ,       0.0)




 def 						__snake_case		(     self   :    Tuple):







        '''simple docstring'''



        lowerCAmelCase__	      =   ['werewolf', 'I am your father']
        lowerCAmelCase__	      =   cer.compute(predictions=lowercase__     ,       references=lowercase__)
        self.assertEqual(lowercase__     ,       0.0)

        lowerCAmelCase__	      =   ['werewolf', 'I am your father', 'doge']
        lowerCAmelCase__	      =   ['werxwolf', 'I       am your father', 'doge']
        # S = 1, D = 0, I = 0, N = 28, CER = 1 / 28
        lowerCAmelCase__	      =   cer.compute(predictions=lowercase__     ,       references=lowercase__)
        self.assertTrue(abs(char_error_rate - 0.03_571_428) < 1e-6)




 def 						__snake_case		(     self   :    Tuple):







        '''simple docstring'''



        lowerCAmelCase__	      =   ['My hovercraft', 'is full of eels']
        lowerCAmelCase__	      =   ['My hovercraft is full', ' of eels']
        # S = 0, D = 0, I = 2, N = 28, CER = 2 / 28
        # whitespace at the front of " of eels" will be strip during preporcessing
        # so need to insert 2 whitespaces
        lowerCAmelCase__	      =   cer.compute(predictions=lowercase__     ,       references=lowercase__     ,       concatenate_texts=lowercase__)
        self.assertTrue(abs(char_error_rate - 0.071_428) < 1e-6)




 def 						__snake_case		(     self   :    Dict):







        '''simple docstring'''



        lowerCAmelCase__	      =   ['我能吞下玻璃而不伤身体']
        lowerCAmelCase__	      =   [' 能吞虾玻璃而 不霜身体啦']
        # S = 3, D = 2, I = 0, N = 11, CER = 5 / 11
        lowerCAmelCase__	      =   cer.compute(predictions=lowercase__     ,       references=lowercase__)
        self.assertTrue(abs(char_error_rate - 0.4_545_454_545) < 1e-6)

        lowerCAmelCase__	      =   ['我能吞下玻璃', '而不伤身体']
        lowerCAmelCase__	      =   ['我    能 吞 下 玻 璃', '而不伤身体']
        # S = 0, D = 5, I = 0, N = 11, CER = 5 / 11
        lowerCAmelCase__	      =   cer.compute(predictions=lowercase__     ,       references=lowercase__)
        self.assertTrue(abs(char_error_rate - 0.454_545_454_545) < 1e-6)

        lowerCAmelCase__	      =   ['我能吞下玻璃而不伤身体']
        lowerCAmelCase__	      =   cer.compute(predictions=lowercase__     ,       references=lowercase__)
        self.assertFalse(lowercase__     ,       0.0)




 def 						__snake_case		(     self   :    Dict):







        '''simple docstring'''



        lowerCAmelCase__	      =   ['']
        lowerCAmelCase__	      =   ['Hypothesis']
        with self.assertRaises(lowercase__):
               cer.compute(predictions=lowercase__     ,       references=lowercase__)


if __name__ == "__main__":
    unittest.main()
