




'''simple docstring'''




from __future__ import annotations





def      a_							(      __snake_case							:			str   ,       __snake_case							:			list[str] | None = None   ,       __snake_case							:			dict[str, float] | None = None   ,       __snake_case							:			bool = False   ,       )							->						tuple[int, float, str]:



       """simple docstring"""
       lowerCamelCase_							=cipher_alphabet or [chr(__snake_case   ) 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''': 0.0_8_4_9_7,
                  '''b''': 0.0_1_4_9_2,
                  '''c''': 0.0_2_2_0_2,
                  '''d''': 0.0_4_2_5_3,
                  '''e''': 0.1_1_1_6_2,
                  '''f''': 0.0_2_2_2_8,
                  '''g''': 0.0_2_0_1_5,
                  '''h''': 0.0_6_0_9_4,
                  '''i''': 0.0_7_5_4_6,
                  '''j''': 0.0_0_1_5_3,
                  '''k''': 0.0_1_2_9_2,
                  '''l''': 0.0_4_0_2_5,
                  '''m''': 0.0_2_4_0_6,
                  '''n''': 0.0_6_7_4_9,
                  '''o''': 0.0_7_5_0_7,
                  '''p''': 0.0_1_9_2_9,
                  '''q''': 0.0_0_0_9_5,
                  '''r''': 0.0_7_5_8_7,
                  '''s''': 0.0_6_3_2_7,
                  '''t''': 0.0_9_3_5_6,
                  '''u''': 0.0_2_7_5_8,
                  '''v''': 0.0_0_9_7_8,
                  '''w''': 0.0_2_5_6_0,
                  '''x''': 0.0_0_1_5_0,
                  '''y''': 0.0_1_9_9_4,
                  '''z''': 0.0_0_0_7_7,
              }
       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(__snake_case   )   ):
              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(
                                __snake_case   )
                            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(__snake_case   )

                                   # 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(__snake_case   )

                                   # 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(__snake_case							:			int   ) -> tuple[float, str]:
              return chi_squared_statistic_values[key]

       lowerCamelCase_							=min(
           __snake_case   ,       key=__snake_case   ,       )

       # 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,
       )








'''simple docstring'''


from typing import List, Optional, Tuple, Union

import torch

from ...models import UNetaDModel
from ...schedulers import ScoreSdeVeScheduler
from ...utils import randn_tensor
from ..pipeline_utils import DiffusionPipeline, ImagePipelineOutput





class     lowercase__  (						_snake_case					):





							'''simple docstring'''


							A_							:      UNetaDModel
							A_							:      ScoreSdeVeScheduler






							def __init__(    self    ,					__snake_case    ,					__snake_case  ):
											super().__init__()
											self.register_modules(unet=__snake_case    ,					scheduler=__snake_case  )






							@torch.no_grad()
							def __call__(    self    ,					__snake_case = 1    ,					__snake_case = 2000    ,					__snake_case = None    ,					__snake_case = "pil"    ,					__snake_case = True    ,					**__snake_case    ,					):
											_SCREAMING_SNAKE_CASE :       Optional[int]     		=      self.unet.config.sample_size
											_SCREAMING_SNAKE_CASE :       Optional[Any]     		=      (batch_size, 3, img_size, img_size)

											_SCREAMING_SNAKE_CASE :       Union[str, Any]     		=      self.unet

											_SCREAMING_SNAKE_CASE :       Optional[int]     		=      randn_tensor(__snake_case    ,					generator=__snake_case  ) * self.scheduler.init_noise_sigma
											_SCREAMING_SNAKE_CASE :       Any     		=      sample.to(self.device  )

											self.scheduler.set_timesteps(__snake_case  )
											self.scheduler.set_sigmas(__snake_case  )

											for i, t in enumerate(self.progress_bar(self.scheduler.timesteps  )  ):
															_SCREAMING_SNAKE_CASE :       List[Any]     		=      self.scheduler.sigmas[i] * torch.ones(shape[0]    ,					device=self.device  )

															# correction step
															for _ in range(self.scheduler.config.correct_steps  ):
																			_SCREAMING_SNAKE_CASE :       Any     		=      self.unet(__snake_case    ,					__snake_case  ).sample
																			_SCREAMING_SNAKE_CASE :       Any     		=      self.scheduler.step_correct(__snake_case    ,					__snake_case    ,					generator=__snake_case  ).prev_sample

															# prediction step
															_SCREAMING_SNAKE_CASE :       Union[str, Any]     		=      model(__snake_case    ,					__snake_case  ).sample
															_SCREAMING_SNAKE_CASE :       Tuple     		=      self.scheduler.step_pred(__snake_case    ,					__snake_case    ,					__snake_case    ,					generator=__snake_case  )

															_SCREAMING_SNAKE_CASE		,       _SCREAMING_SNAKE_CASE :       int     		=      output.prev_sample, output.prev_sample_mean

											_SCREAMING_SNAKE_CASE :       Tuple     		=      sample_mean.clamp(0    ,					1  )
											_SCREAMING_SNAKE_CASE :       str     		=      sample.cpu().permute(0    ,					2    ,					3    ,					1  ).numpy()
											if output_type == "pil":
															_SCREAMING_SNAKE_CASE :       Optional[int]     		=      self.numpy_to_pil(__snake_case  )

											if not return_dict:
															return (sample,)

											return ImagePipelineOutput(images=__snake_case  )




