
'''simple docstring'''







import pytest

from datasets.parallel import ParallelBackendConfig, parallel_backend
from datasets.utils.py_utils import map_nested

from .utils import require_dill_gt_0_3_2, require_joblibspark, require_not_windows







def 				SCREAMING_SNAKE_CASE__	(   __A	)       ->	Dict:  # picklable for multiprocessing
	return i + 1







@require_dill_gt_0_3_2
@require_joblibspark
@require_not_windows
def 				SCREAMING_SNAKE_CASE__	(   )       ->	Optional[int]:
	with parallel_backend('spark'	):
		assert ParallelBackendConfig.backend_name == "spark"

	_snake_case   						=		[1, 2, 3]
	with pytest.raises(__A	):
		with parallel_backend('unsupported backend'	):
			map_nested(__A			,				__A			,				num_proc=2	)

	with pytest.raises(__A	):
		with parallel_backend('unsupported backend'	):
			map_nested(__A			,				__A			,				num_proc=-1	)







@require_dill_gt_0_3_2
@require_joblibspark
@require_not_windows
@pytest.mark.parametrize('num_proc'			,				[2, -1]	)
def 				SCREAMING_SNAKE_CASE__	(   __A	)       ->	List[str]:
	_snake_case   						=		[1, 2]
	_snake_case   						=		{'a': 1, 'b': 2}
	_snake_case   						=		{'a': [1, 2], 'b': [3, 4]}
	_snake_case   						=		{'a': {'1': 1}, 'b': 2}
	_snake_case   						=		{'a': 1, 'b': 2, 'c': 3, 'd': 4}
	_snake_case   						=		[2, 3]
	_snake_case   						=		{'a': 2, 'b': 3}
	_snake_case   						=		{'a': [2, 3], 'b': [4, 5]}
	_snake_case   						=		{'a': {'1': 2}, 'b': 3}
	_snake_case   						=		{'a': 2, 'b': 3, 'c': 4, 'd': 5}

	with parallel_backend('spark'	):
		assert map_nested(__A			,				__A			,				num_proc=__A	) == expected_map_nested_sa
		assert map_nested(__A			,				__A			,				num_proc=__A	) == expected_map_nested_sa
		assert map_nested(__A			,				__A			,				num_proc=__A	) == expected_map_nested_sa
		assert map_nested(__A			,				__A			,				num_proc=__A	) == expected_map_nested_sa
		assert map_nested(__A			,				__A			,				num_proc=__A	) == expected_map_nested_sa





from __future__ import annotations
def 				__lowerCamelCase						( UpperCAmelCase_						:		str ,  UpperCAmelCase_						:		list[str] | None = None ,  UpperCAmelCase_						:		dict[str, float] | None = None ,  UpperCAmelCase_						:		bool = False ,  ):




      """simple docstring"""





      a						:str 							=       cipher_alphabet or [chr(UpperCAmelCase_						) for i in range(97 ,  123						)]

      # If the argument is None or the user provided an empty dictionary
      if not frequencies_dict:
            # Frequencies of letters in the english language (how much they show up)
            a						:List[Any] 							=       {
                '''a''': 0.08497,
                '''b''': 0.01492,
                '''c''': 0.02202,
                '''d''': 0.04253,
                '''e''': 0.11162,
                '''f''': 0.02228,
                '''g''': 0.02015,
                '''h''': 0.06094,
                '''i''': 0.07546,
                '''j''': 0.00153,
                '''k''': 0.01292,
                '''l''': 0.04025,
                '''m''': 0.02406,
                '''n''': 0.06749,
                '''o''': 0.07507,
                '''p''': 0.01929,
                '''q''': 0.00095,
                '''r''': 0.07587,
                '''s''': 0.06327,
                '''t''': 0.09356,
                '''u''': 0.02758,
                '''v''': 0.00978,
                '''w''': 0.02560,
                '''x''': 0.00150,
                '''y''': 0.01994,
                '''z''': 0.00077,
            }
      else:
            # Custom frequencies dictionary
            a						:Dict 							=       frequencies_dict

      if not case_sensitive:
            a						:Union[str, Any] 							=       ciphertext.lower()

      # Chi squared statistic values
      a						:dict[int, tuple[float, str]] 							=       {}

      # cycle through all of the shifts
      for shift in range(len(UpperCAmelCase_						)						):
            a						:int 							=       ''''''

            # decrypt the message with the shift
            for letter in ciphertext:
                  try:
                        # Try to index the letter in the alphabet
                        a						:Dict 							=       (alphabet_letters.index(letter.lower()						) - shift) % len(
                            UpperCAmelCase_						)
                        decrypted_with_shift += (
                            alphabet_letters[new_key].upper()
                            if case_sensitive and letter.isupper()
                            else alphabet_letters[new_key]
                        )
                  except ValueError:
                        # Append the character if it isn't in the alphabet
                        decrypted_with_shift += letter

            a						:List[Any] 							=       0.0

            # Loop through each letter in the decoded message with the shift
            for letter in decrypted_with_shift:
                  if case_sensitive:
                        a						:Optional[int] 							=       letter.lower()
                        if letter in frequencies:
                              # Get the amount of times the letter occurs in the message
                              a						:List[Any] 							=       decrypted_with_shift.lower().count(UpperCAmelCase_						)

                              # Get the excepcted amount of times the letter should appear based
                              # on letter frequencies
                              a						:Dict 							=       frequencies[letter] * occurrences

                              # Complete the chi squared statistic formula
                              a						:Any 							=       ((occurrences - expected) ** 2) / expected

                              # Add the margin of error to the total chi squared statistic
                              chi_squared_statistic += chi_letter_value
                  else:
                        if letter.lower() in frequencies:
                              # Get the amount of times the letter occurs in the message
                              a						:int 							=       decrypted_with_shift.count(UpperCAmelCase_						)

                              # Get the excepcted amount of times the letter should appear based
                              # on letter frequencies
                              a						:Tuple 							=       frequencies[letter] * occurrences

                              # Complete the chi squared statistic formula
                              a						:Optional[Any] 							=       ((occurrences - expected) ** 2) / expected

                              # Add the margin of error to the total chi squared statistic
                              chi_squared_statistic += chi_letter_value

        # Add the data to the chi_squared_statistic_values dictionary
            a						:Optional[Any] 							=       (
                chi_squared_statistic,
                decrypted_with_shift,
            )

      # Get the most likely cipher by finding the cipher with the smallest chi squared
      # statistic
      def chi_squared_statistic_values_sorting_key(UpperCAmelCase_						:		int						) -> tuple[float, str]:
            return chi_squared_statistic_values[key]

      a						:int 							=       min(
          UpperCAmelCase_ ,  key=UpperCAmelCase_ ,  )

      # Get all the data from the most likely cipher (key, decoded message)
      (
          (
          a
      )							,				(
          a
      )							,				
      )						:Optional[int] 							=       chi_squared_statistic_values[most_likely_cipher]

      # Return the data on the most likely shift
      return (
          most_likely_cipher,
          most_likely_cipher_chi_squared_value,
          decoded_most_likely_cipher,
      )





