



'''simple docstring'''







from __future__ import annotations

import random
from collections.abc import Iterable




class 				__lowerCAmelCase:






			def __init__(   self  :							int      ,       SCREAMING_SNAKE_CASE  :							list[str]	):




					"""simple docstring"""







					SCREAMING_SNAKE_CASE_						:dict[str, bool | None]										=      {literal: None for literal in literals}






			def __str__(   self  :							Optional[int]	):




					"""simple docstring"""







					return "{" + " , ".join(self.literals	) + "}"






			def __len__(   self  :							Optional[int]	):




					"""simple docstring"""







					return len(self.literals	)






			def 				_lowercase	(   self  :							List[str]      ,       SCREAMING_SNAKE_CASE  :							dict[str, bool | None]	):




					"""simple docstring"""







					for literal in self.literals:
							SCREAMING_SNAKE_CASE_						:Tuple										=      literal[:2]
							if symbol in model:
									SCREAMING_SNAKE_CASE_						:Optional[int]										=      model[symbol]
							else:
									continue
							if value is not None:
									# Complement assignment if literal is in complemented form
									if literal.endswith('\''	):
											SCREAMING_SNAKE_CASE_						:int										=      not value
							SCREAMING_SNAKE_CASE_						:List[str]										=      value






			def 				_lowercase	(   self  :							Any      ,       SCREAMING_SNAKE_CASE  :							dict[str, bool | None]	):




					"""simple docstring"""







					for literal in self.literals:
							SCREAMING_SNAKE_CASE_						:Any										=      literal.rstrip('\''	) if literal.endswith('\''	) else literal + '\''
							if symbol in self.literals:
									return True

					self.assign(SCREAMING_SNAKE_CASE	)
					for value in self.literals.values():
							if value in (True, None):
									return value
					return any(self.literals.values()	)




class 				__lowerCAmelCase:






			def __init__(   self  :							Union[str, Any]      ,       SCREAMING_SNAKE_CASE  :							Iterable[Clause]	):




					"""simple docstring"""







					SCREAMING_SNAKE_CASE_						:Tuple										=      list(SCREAMING_SNAKE_CASE	)






			def __str__(   self  :							Optional[Any]	):




					"""simple docstring"""







					return "{" + " , ".join(str(SCREAMING_SNAKE_CASE	) for clause in self.clauses	) + "}"







def  SCREAMING_SNAKE_CASE__ (				):
		SCREAMING_SNAKE_CASE_						:str										=      []
		SCREAMING_SNAKE_CASE_						:Tuple										=      random.randint(1 ,		5     )
		SCREAMING_SNAKE_CASE_						:str										=      'A'
		SCREAMING_SNAKE_CASE_						:Any										=      0
		while i < no_of_literals:
				SCREAMING_SNAKE_CASE_						:Dict										=      random.randint(1 ,		5     )
				SCREAMING_SNAKE_CASE_						:Optional[Any]										=      base_var + str(SCREAMING_SNAKE_CASE     )
				SCREAMING_SNAKE_CASE_						:Tuple										=      random.randint(0 ,		1     )
				if var_complement == 1:
						var_name += "'"
				if var_name in literals:
						i -= 1
				else:
						literals.append(SCREAMING_SNAKE_CASE     )
				i += 1
		return Clause(SCREAMING_SNAKE_CASE     )







def  SCREAMING_SNAKE_CASE__ (				):
		SCREAMING_SNAKE_CASE_						:set[Clause]										=      set()
		SCREAMING_SNAKE_CASE_						:str										=      random.randint(1 ,		10     )
		while len(SCREAMING_SNAKE_CASE     ) < no_of_clauses:
				clauses.add(generate_clause()     )
		return Formula(SCREAMING_SNAKE_CASE     )







def  SCREAMING_SNAKE_CASE__ (				SCREAMING_SNAKE_CASE     ):
		SCREAMING_SNAKE_CASE_						:Optional[int]										=      formula.clauses
		SCREAMING_SNAKE_CASE_						:int										=      []
		for clause in formula.clauses:
				for literal in clause.literals:
						SCREAMING_SNAKE_CASE_						:Tuple										=      literal[:2]
						if symbol not in symbols_set:
								symbols_set.append(SCREAMING_SNAKE_CASE     )
		return clauses, symbols_set







def  SCREAMING_SNAKE_CASE__ (				SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE     ):
		SCREAMING_SNAKE_CASE_						:List[str]										=      []
		SCREAMING_SNAKE_CASE_						:dict[str, bool | None]										=      {}
		SCREAMING_SNAKE_CASE_						:Tuple										=      []

		for clause in clauses:
				if clause.evaluate(SCREAMING_SNAKE_CASE     ):
						continue
				for literal in clause.literals:
						literals.append(SCREAMING_SNAKE_CASE     )

		for s in symbols:
				SCREAMING_SNAKE_CASE_						:Optional[Any]										=      s + '\''
				if (s in literals and sym not in literals) or (
				    s not in literals and sym in literals
				):
						pure_symbols.append(SCREAMING_SNAKE_CASE     )
		for p in pure_symbols:
				SCREAMING_SNAKE_CASE_						:str										=      None
		for s in pure_symbols:
				SCREAMING_SNAKE_CASE_						:List[str]										=      s + '\''
				if s in literals:
						SCREAMING_SNAKE_CASE_						:Any										=      True
				elif sym in literals:
						SCREAMING_SNAKE_CASE_						:str										=      False
		return pure_symbols, assignment







def  SCREAMING_SNAKE_CASE__ (				SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE     ):
		SCREAMING_SNAKE_CASE_						:Union[str, Any]										=      []
		for clause in clauses:
				if len(SCREAMING_SNAKE_CASE     ) == 1:
						unit_symbols.append(list(clause.literals.keys()     )[0]     )
				else:
						SCREAMING_SNAKE_CASE_						,		SCREAMING_SNAKE_CASE_						:Tuple										=      0, 0
						for literal, value in clause.literals.items():
								if value is False:
										f_count += 1
								elif value is None:
										SCREAMING_SNAKE_CASE_						:Tuple										=      literal
										n_count += 1
						if f_count == len(SCREAMING_SNAKE_CASE     ) - 1 and n_count == 1:
								unit_symbols.append(SCREAMING_SNAKE_CASE     )
		SCREAMING_SNAKE_CASE_						:dict[str, bool | None]										=      {}
		for i in unit_symbols:
				SCREAMING_SNAKE_CASE_						:Dict										=      i[:2]
				SCREAMING_SNAKE_CASE_						:str										=      len(SCREAMING_SNAKE_CASE     ) == 2
		SCREAMING_SNAKE_CASE_						:List[str]										=      [i[:2] for i in unit_symbols]

		return unit_symbols, assignment







def  SCREAMING_SNAKE_CASE__ (				SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE     ):
		SCREAMING_SNAKE_CASE_						:Union[str, Any]										=      True
		for clause in clauses:
				SCREAMING_SNAKE_CASE_						:List[str]										=      clause.evaluate(SCREAMING_SNAKE_CASE     )
				if clause_check is False:
						return False, None
				elif clause_check is None:
						SCREAMING_SNAKE_CASE_						:Dict										=      False
						continue

		if check_clause_all_true:
				return True, model

		try:
				SCREAMING_SNAKE_CASE_						,		SCREAMING_SNAKE_CASE_						:List[Any]										=      find_pure_symbols(SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE     )
		except RecursionError:
				print('raises a RecursionError and is'     )
				return None, {}
		SCREAMING_SNAKE_CASE_						:Optional[Any]										=      None
		if len(SCREAMING_SNAKE_CASE     ) > 0:
				SCREAMING_SNAKE_CASE_						,		SCREAMING_SNAKE_CASE_						:Union[str, Any]										=      pure_symbols[0], assignment[pure_symbols[0]]

		if p:
				SCREAMING_SNAKE_CASE_						:Dict										=      model
				SCREAMING_SNAKE_CASE_						:Tuple										=      value
				SCREAMING_SNAKE_CASE_						:List[Any]										=      list(SCREAMING_SNAKE_CASE     )
				if p in tmp_symbols:
						tmp_symbols.remove(SCREAMING_SNAKE_CASE     )
				return dpll_algorithm(SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE     )

		SCREAMING_SNAKE_CASE_						,		SCREAMING_SNAKE_CASE_						:str										=      find_unit_clauses(SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE     )
		SCREAMING_SNAKE_CASE_						:Dict										=      None
		if len(SCREAMING_SNAKE_CASE     ) > 0:
				SCREAMING_SNAKE_CASE_						,		SCREAMING_SNAKE_CASE_						:List[str]										=      unit_symbols[0], assignment[unit_symbols[0]]
		if p:
				SCREAMING_SNAKE_CASE_						:Optional[int]										=      model
				SCREAMING_SNAKE_CASE_						:Dict										=      value
				SCREAMING_SNAKE_CASE_						:Dict										=      list(SCREAMING_SNAKE_CASE     )
				if p in tmp_symbols:
						tmp_symbols.remove(SCREAMING_SNAKE_CASE     )
				return dpll_algorithm(SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE     )
		SCREAMING_SNAKE_CASE_						:str										=      symbols[0]
		SCREAMING_SNAKE_CASE_						:List[Any]										=      symbols[1:]
		SCREAMING_SNAKE_CASE_						,		SCREAMING_SNAKE_CASE_						:str										=      model, model
		SCREAMING_SNAKE_CASE_						,		SCREAMING_SNAKE_CASE_						:List[str]										=      True, False

		return dpll_algorithm(SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE     ) or dpll_algorithm(SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE     )


if __name__ == "__main__":
							import doctest

							doctest.testmod()

							SCREAMING_SNAKE_CASE__     : Union[str, Any]				=   generate_formula()
							print(f"""The formula {formula} is""", end=""" """)

							SCREAMING_SNAKE_CASE__	,							SCREAMING_SNAKE_CASE__     : str				=   generate_parameters(formula)
							SCREAMING_SNAKE_CASE__	,							SCREAMING_SNAKE_CASE__     : Union[str, Any]				=   dpll_algorithm(clauses, symbols, {})

							if solution:
														print(f"""satisfiable with the assignment {model}.""")
							else:
														print("""not satisfiable.""")





'''simple docstring'''



import os
import pathlib
import tempfile
import uuid

import numpy as np

from ..utils import is_soundfile_availble, is_torch_available, is_vision_available, logging


_lowercase       :						Dict						=logging.get_logger(__name__)

if is_vision_available():
				import PIL.Image
				from PIL import Image
				from PIL.Image import Image as ImageType
else:
				_lowercase       :						List[Any]						=object

if is_torch_available():
				import torch

if is_soundfile_availble():
				import soundfile as sf






class 			_SCREAMING_SNAKE_CASE				:



			def __init__(     self		:						List[str]    ,			__UpperCamelCase		:						Optional[int]			)      ->      List[str]:
							"""simple docstring"""





							snake_case__      :   int      =    value



			def __str__(     self		:						int			)      ->      str:
							"""simple docstring"""





							return self.to_string()



			def 				lowerCAmelCase (     self		:						List[Any]			)      ->      List[str]:
							"""simple docstring"""





							logger.error(
							    '''This is a raw AgentType of unknown type. Display in notebooks and string conversion will be unreliable'''			)
							return self._value







			def 				lowerCAmelCase (     self		:						Optional[Any]			)      ->      str:
							"""simple docstring"""





							logger.error(
							    '''This is a raw AgentType of unknown type. Display in notebooks and string conversion will be unreliable'''			)
							return str(self._value			)






class 			_SCREAMING_SNAKE_CASE				(lowercase__,	lowercase__      ):



			def 				lowerCAmelCase (     self		:						str			)      ->      Tuple:
							"""simple docstring"""





							return self._value







			def 				lowerCAmelCase (     self		:						Optional[int]			)      ->      Union[str, Any]:
							"""simple docstring"""





							return self._value






class 			_SCREAMING_SNAKE_CASE				(lowercase__,	lowercase__      ):



			def __init__(     self		:						str    ,			__UpperCamelCase		:						List[Any]			)      ->      Dict:
							"""simple docstring"""





							super().__init__(__UpperCamelCase			)

							if not is_vision_available():
											raise ImportError('''PIL must be installed in order to handle images.'''			)

							snake_case__      :   str      =    None
							snake_case__      :   List[Any]      =    None
							snake_case__      :   Tuple      =    None

							if isinstance(__UpperCamelCase    ,			__UpperCamelCase			):
											snake_case__      :   List[Any]      =    value
							elif isinstance(__UpperCamelCase    ,			(str, pathlib.Path)			):
											snake_case__      :   int      =    value
							elif isinstance(__UpperCamelCase    ,			torch.Tensor			):
											snake_case__      :   Union[str, Any]      =    value
							else:
											raise ValueError(F'''Unsupported type for {self.__class__.__name__}: {type(__UpperCamelCase			)}'''			)



			def 				lowerCAmelCase (     self		:						str    ,			__UpperCamelCase		:						Dict=None    ,			__UpperCamelCase		:						Any=None			)      ->      List[Any]:
							"""simple docstring"""





							from IPython.display import Image, display

							display(Image(self.to_string()			)			)



			def 				lowerCAmelCase (     self		:						List[str]			)      ->      str:
							"""simple docstring"""





							if self._raw is not None:
											return self._raw

							if self._path is not None:
											snake_case__      :   str      =    Image.open(self._path			)
											return self._raw







			def 				lowerCAmelCase (     self		:						Dict			)      ->      Optional[Any]:
							"""simple docstring"""





							if self._path is not None:
											return self._path

							if self._raw is not None:
											snake_case__      :   Any      =    tempfile.mkdtemp()
											snake_case__      :   Dict      =    os.path.join(__UpperCamelCase    ,			str(uuid.uuida()			) + '''.png'''			)
											self._raw.save(self._path			)

											return self._path

							if self._tensor is not None:
											snake_case__      :   List[str]      =    self._tensor.cpu().detach().numpy()

											# There is likely simpler than load into image into save
											snake_case__      :   List[Any]      =    Image.fromarray((array * 255).astype(np.uinta			)			)

											snake_case__      :   str      =    tempfile.mkdtemp()
											snake_case__      :   Dict      =    os.path.join(__UpperCamelCase    ,			str(uuid.uuida()			) + '''.png'''			)

											img.save(self._path			)

											return self._path






class 			_SCREAMING_SNAKE_CASE				(lowercase__      ):



			def __init__(     self		:						Optional[Any]    ,			__UpperCamelCase		:						List[Any]    ,			__UpperCamelCase		:						str=16000			)      ->      Union[str, Any]:
							"""simple docstring"""





							super().__init__(__UpperCamelCase			)

							if not is_soundfile_availble():
											raise ImportError('''soundfile must be installed in order to handle audio.'''			)

							snake_case__      :   List[str]      =    None
							snake_case__      :   Optional[int]      =    None

							snake_case__      :   Any      =    samplerate

							if isinstance(__UpperCamelCase    ,			(str, pathlib.Path)			):
											snake_case__      :   int      =    value
							elif isinstance(__UpperCamelCase    ,			torch.Tensor			):
											snake_case__      :   int      =    value
							else:
											raise ValueError(F'''Unsupported audio type: {type(__UpperCamelCase			)}'''			)



			def 				lowerCAmelCase (     self		:						Tuple    ,			__UpperCamelCase		:						List[Any]=None    ,			__UpperCamelCase		:						Optional[Any]=None			)      ->      Any:
							"""simple docstring"""





							from IPython.display import Audio, display

							display(Audio(self.to_string()    ,			rate=self.samplerate			)			)



			def 				lowerCAmelCase (     self		:						Union[str, Any]			)      ->      Union[str, Any]:
							"""simple docstring"""





							if self._tensor is not None:
											return self._tensor

							if self._path is not None:
											snake_case__  ,      snake_case__      :   Tuple      =    sf.read(self._path			)
											snake_case__      :   Tuple      =    torch.tensor(__UpperCamelCase			)
											return self._tensor







			def 				lowerCAmelCase (     self		:						Any			)      ->      Dict:
							"""simple docstring"""





							if self._path is not None:
											return self._path

							if self._tensor is not None:
											snake_case__      :   Tuple      =    tempfile.mkdtemp()
											snake_case__      :   int      =    os.path.join(__UpperCamelCase    ,			str(uuid.uuida()			) + '''.wav'''			)
											sf.write(self._path    ,			self._tensor    ,			samplerate=self.samplerate			)
											return self._path



_lowercase       :						Union[str, Any]						={"text": AgentText, "image": AgentImage, "audio": AgentAudio}
_lowercase       :						List[Any]						={str: AgentText}

if is_vision_available():
				_lowercase       :						Optional[Any]						=AgentImage


def 							__UpperCAmelCase				(				*UpperCamelCase__				:Optional[int]   ,				**UpperCamelCase__				:List[Any]			)		->						Optional[Any]:
				snake_case__      :   List[str]      =    [(arg.to_raw() if isinstance(UpperCamelCase__   ,				UpperCamelCase__			) else arg) for arg in args]
				snake_case__      :   Any      =    {k: (v.to_raw() if isinstance(UpperCamelCase__   ,				UpperCamelCase__			) else v) for k, v in kwargs.items()}
				return args, kwargs



def 							__UpperCAmelCase				(				UpperCamelCase__				:Optional[Any]   ,				UpperCamelCase__				:Tuple=None			)		->						Dict:
				if isinstance(UpperCamelCase__   ,				UpperCamelCase__			):
								snake_case__      :   Any      =    {}
								for i, (k, v) in enumerate(outputs.items()			):
												if output_types is not None:
																# If the class has defined outputs, we can map directly according to the class definition
																if output_types[i] in AGENT_TYPE_MAPPING:
																				snake_case__      :   List[Any]      =    AGENT_TYPE_MAPPING[output_types[i]](UpperCamelCase__			)
																else:
																				snake_case__      :   Optional[int]      =    AgentType(UpperCamelCase__			)

												else:
																# If the class does not have defined output, then we map according to the type
																for _k, _v in INSTANCE_TYPE_MAPPING.items():
																				if isinstance(UpperCamelCase__   ,				_k			):
																								snake_case__      :   str      =    _v(UpperCamelCase__			)
																if k not in decoded_outputs:
																				snake_case__      :   Any      =    AgentType[v]

				elif isinstance(UpperCamelCase__   ,				(list, tuple)			):
								snake_case__      :   List[str]      =    type(UpperCamelCase__			)()
								for i, v in enumerate(UpperCamelCase__			):
												if output_types is not None:
																# If the class has defined outputs, we can map directly according to the class definition
																if output_types[i] in AGENT_TYPE_MAPPING:
																				decoded_outputs.append(AGENT_TYPE_MAPPING[output_types[i]](UpperCamelCase__			)			)
																else:
																				decoded_outputs.append(AgentType(UpperCamelCase__			)			)
												else:
																# If the class does not have defined output, then we map according to the type
																snake_case__      :   Any      =    False
																for _k, _v in INSTANCE_TYPE_MAPPING.items():
																				if isinstance(UpperCamelCase__   ,				_k			):
																								decoded_outputs.append(_v(UpperCamelCase__			)			)
																								snake_case__      :   str      =    True

																if not found:
																				decoded_outputs.append(AgentType(UpperCamelCase__			)			)

				else:
								if output_types[0] in AGENT_TYPE_MAPPING:
												# If the class has defined outputs, we can map directly according to the class definition
												snake_case__      :   Tuple      =    AGENT_TYPE_MAPPING[output_types[0]](UpperCamelCase__			)

								else:
												# If the class does not have defined output, then we map according to the type
												for _k, _v in INSTANCE_TYPE_MAPPING.items():
																if isinstance(UpperCamelCase__   ,				_k			):
																				return _v(UpperCamelCase__			)
												return AgentType(UpperCamelCase__			)

				return decoded_outputs




