




from __future__ import annotations




def 					lowerCamelCase__       (						A__       :					str  ,			A__       :					list[str] | None = None  ,			A__       :					dict[str, float] | None = None  ,			A__       :					bool = False  ,			):





       '''simple docstring'''



       __lowerCamelCase   =						cipher_alphabet or [chr(A__	) 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)
              __lowerCamelCase   =						{
                  """a""": 0.08_497,
                  """b""": 0.01_492,
                  """c""": 0.02_202,
                  """d""": 0.04_253,
                  """e""": 0.11_162,
                  """f""": 0.02_228,
                  """g""": 0.02_015,
                  """h""": 0.06_094,
                  """i""": 0.07_546,
                  """j""": 0.00_153,
                  """k""": 0.01_292,
                  """l""": 0.04_025,
                  """m""": 0.02_406,
                  """n""": 0.06_749,
                  """o""": 0.07_507,
                  """p""": 0.01_929,
                  """q""": 0.00_095,
                  """r""": 0.07_587,
                  """s""": 0.06_327,
                  """t""": 0.09_356,
                  """u""": 0.02_758,
                  """v""": 0.00_978,
                  """w""": 0.02_560,
                  """x""": 0.00_150,
                  """y""": 0.01_994,
                  """z""": 0.00_077,
              }
       else:
              # Custom frequencies dictionary
              __lowerCamelCase   =						frequencies_dict

       if not case_sensitive:
              __lowerCamelCase   =						ciphertext.lower()

       # Chi squared statistic values
       __lowerCamelCase   =						{}

       # cycle through all of the shifts
       for shift in range(len(A__	)	):
              __lowerCamelCase   =						""""""

              # decrypt the message with the shift
              for letter in ciphertext:
                     try:
                            # Try to index the letter in the alphabet
                            __lowerCamelCase   =						(alphabet_letters.index(letter.lower()	) - shift) % len(
                                A__	)
                            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

              __lowerCamelCase   =						0.0

              # Loop through each letter in the decoded message with the shift
              for letter in decrypted_with_shift:
                     if case_sensitive:
                            __lowerCamelCase   =						letter.lower()
                            if letter in frequencies:
                                   # Get the amount of times the letter occurs in the message
                                   __lowerCamelCase   =						decrypted_with_shift.lower().count(A__	)

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

                                   # Complete the chi squared statistic formula
                                   __lowerCamelCase   =						((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
                                   __lowerCamelCase   =						decrypted_with_shift.count(A__	)

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

                                   # Complete the chi squared statistic formula
                                   __lowerCamelCase   =						((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
              __lowerCamelCase   =						(
                  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(A__       :					int	) -> tuple[float, str]:
              return chi_squared_statistic_values[key]

       __lowerCamelCase   =						min(
           A__  ,			key=A__  ,			)

       # Get all the data from the most likely cipher (key, decoded message)
       (
           (
           __lowerCamelCase
       ),   (
           __lowerCamelCase
       ),   
       )   =						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,
       )






from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_flax_available, is_torch_available


a_   :int        =      {
    "configuration_longt5": ["LONGT5_PRETRAINED_CONFIG_ARCHIVE_MAP", "LongT5Config", "LongT5OnnxConfig"],
}

try:
 if not is_torch_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 a_   :List[str]        =      [
     "LONGT5_PRETRAINED_MODEL_ARCHIVE_LIST",
     "LongT5EncoderModel",
     "LongT5ForConditionalGeneration",
     "LongT5Model",
     "LongT5PreTrainedModel",
 ]

try:
 if not is_flax_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 a_   :int        =      [
     "FlaxLongT5ForConditionalGeneration",
     "FlaxLongT5Model",
     "FlaxLongT5PreTrainedModel",
 ]


if TYPE_CHECKING:
 from .configuration_longta import LONGT5_PRETRAINED_CONFIG_ARCHIVE_MAP, LongTaConfig, LongTaOnnxConfig

 try:
  if not is_torch_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .modeling_longta import (
      LONGT5_PRETRAINED_MODEL_ARCHIVE_LIST,
      LongTaEncoderModel,
      LongTaForConditionalGeneration,
      LongTaModel,
      LongTaPreTrainedModel,
  )

 try:
  if not is_flax_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .modeling_flax_longta import (
      FlaxLongTaForConditionalGeneration,
      FlaxLongTaModel,
      FlaxLongTaPreTrainedModel,
  )


else:
 import sys

 a_   :Optional[int]        =      _LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)






