




from __future__ import annotations

import random
from collections.abc import Iterable

class 		lowercase_       :




					def __init__(   self:		Tuple,     _lowercase:		str):


									'''simple docstring'''


									__lowerCAmelCase					=  {literal: None for literal in literals}




					def __str__(   self:		List[Any]):


									'''simple docstring'''


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




					def __len__(   self:		Optional[int]):


									'''simple docstring'''


									return len(self.literals)




					def     _lowercase						(   self:		Dict,     _lowercase:		Optional[int]):


									'''simple docstring'''


									for literal in self.literals:
													__lowerCAmelCase					=  literal[:2]
													if symbol in model:
																	__lowerCAmelCase					=  model[symbol]
													else:
																	continue
													if value is not None:
																	# Complement assignment if literal is in complemented form
																	if literal.endswith("""'"""):
																					__lowerCAmelCase					=  not value
													__lowerCAmelCase					=  value







					def     _lowercase						(   self:		Dict,     _lowercase:		Union[str, Any]):


									'''simple docstring'''


									for literal in self.literals:
													__lowerCAmelCase					=  literal.rstrip("""'""") if literal.endswith("""'""") else literal + """'"""
													if symbol in self.literals:
																	return True

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





class 		lowercase_       :




					def __init__(   self:		Any,     _lowercase:		Optional[Any]):


									'''simple docstring'''


									__lowerCAmelCase					=  list(__UpperCAmelCase)







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


									'''simple docstring'''


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





def      UpperCAmelCase  (						)     ->     Clause:







				'''simple docstring'''


				__lowerCAmelCase					=  []
				__lowerCAmelCase					=  random.randint(1						,			5   )
				__lowerCAmelCase					=  """A"""
				__lowerCAmelCase					=  0
				while i < no_of_literals:
								__lowerCAmelCase					=  random.randint(1						,			5   )
								__lowerCAmelCase					=  base_var + str(__UpperCamelCase   )
								__lowerCAmelCase					=  random.randint(0						,			1   )
								if var_complement == 1:
												var_name += "'"
								if var_name in literals:
												i -= 1
								else:
												literals.append(__UpperCamelCase   )
								i += 1
				return Clause(__UpperCamelCase   )





def      UpperCAmelCase  (						)     ->     Formula:







				'''simple docstring'''


				__lowerCAmelCase					=  set()
				__lowerCAmelCase					=  random.randint(1						,			10   )
				while len(__UpperCamelCase   ) < no_of_clauses:
								clauses.add(generate_clause()   )
				return Formula(__UpperCamelCase   )





def      UpperCAmelCase  (						UpperCamelCase__   )     ->     tuple[list[Clause], list[str]]:







				'''simple docstring'''


				__lowerCAmelCase					=  formula.clauses
				__lowerCAmelCase					=  []
				for clause in formula.clauses:
								for literal in clause.literals:
												__lowerCAmelCase					=  literal[:2]
												if symbol not in symbols_set:
																symbols_set.append(__UpperCamelCase   )
				return clauses, symbols_set





def      UpperCAmelCase  (						UpperCamelCase__						,			UpperCamelCase__						,			UpperCamelCase__   )     ->     tuple[list[str], dict[str, bool | None]]:







				'''simple docstring'''


				__lowerCAmelCase					=  []
				__lowerCAmelCase					=  {}
				__lowerCAmelCase					=  []

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

				for s in symbols:
								__lowerCAmelCase					=  s + """'"""
								if (s in literals and sym not in literals) or (
								    s not in literals and sym in literals
								):
												pure_symbols.append(__UpperCamelCase   )
				for p in pure_symbols:
								__lowerCAmelCase					=  None
				for s in pure_symbols:
								__lowerCAmelCase					=  s + """'"""
								if s in literals:
												__lowerCAmelCase					=  True
								elif sym in literals:
												__lowerCAmelCase					=  False
				return pure_symbols, assignment





def      UpperCAmelCase  (						UpperCamelCase__						,			UpperCamelCase__   )     ->     tuple[list[str], dict[str, bool | None]]:







				'''simple docstring'''


				__lowerCAmelCase					=  []
				for clause in clauses:
								if len(__UpperCamelCase   ) == 1:
												unit_symbols.append(list(clause.literals.keys()   )[0]   )
								else:
												__lowerCAmelCase	,				__lowerCAmelCase					=  0, 0
												for literal, value in clause.literals.items():
																if value is False:
																				f_count += 1
																elif value is None:
																				__lowerCAmelCase					=  literal
																				n_count += 1
												if f_count == len(__UpperCamelCase   ) - 1 and n_count == 1:
																unit_symbols.append(__UpperCamelCase   )
				__lowerCAmelCase					=  {}
				for i in unit_symbols:
								__lowerCAmelCase					=  i[:2]
								__lowerCAmelCase					=  len(__UpperCamelCase   ) == 2
				__lowerCAmelCase					=  [i[:2] for i in unit_symbols]

				return unit_symbols, assignment





def      UpperCAmelCase  (						UpperCamelCase__						,			UpperCamelCase__						,			UpperCamelCase__   )     ->     tuple[bool | None, dict[str, bool | None] | None]:







				'''simple docstring'''


				__lowerCAmelCase					=  True
				for clause in clauses:
								__lowerCAmelCase					=  clause.evaluate(__UpperCamelCase   )
								if clause_check is False:
												return False, None
								elif clause_check is None:
												__lowerCAmelCase					=  False
												continue

				if check_clause_all_true:
								return True, model

				try:
								__lowerCAmelCase	,				__lowerCAmelCase					=  find_pure_symbols(__UpperCamelCase						,			__UpperCamelCase						,			__UpperCamelCase   )
				except RecursionError:
								print("""raises a RecursionError and is"""   )
								return None, {}
				__lowerCAmelCase					=  None
				if len(__UpperCamelCase   ) > 0:
								__lowerCAmelCase	,				__lowerCAmelCase					=  pure_symbols[0], assignment[pure_symbols[0]]

				if p:
								__lowerCAmelCase					=  model
								__lowerCAmelCase					=  value
								__lowerCAmelCase					=  list(__UpperCamelCase   )
								if p in tmp_symbols:
												tmp_symbols.remove(__UpperCamelCase   )
								return dpll_algorithm(__UpperCamelCase						,			__UpperCamelCase						,			__UpperCamelCase   )

				__lowerCAmelCase	,				__lowerCAmelCase					=  find_unit_clauses(__UpperCamelCase						,			__UpperCamelCase   )
				__lowerCAmelCase					=  None
				if len(__UpperCamelCase   ) > 0:
								__lowerCAmelCase	,				__lowerCAmelCase					=  unit_symbols[0], assignment[unit_symbols[0]]
				if p:
								__lowerCAmelCase					=  model
								__lowerCAmelCase					=  value
								__lowerCAmelCase					=  list(__UpperCamelCase   )
								if p in tmp_symbols:
												tmp_symbols.remove(__UpperCamelCase   )
								return dpll_algorithm(__UpperCamelCase						,			__UpperCamelCase						,			__UpperCamelCase   )
				__lowerCAmelCase					=  symbols[0]
				__lowerCAmelCase					=  symbols[1:]
				__lowerCAmelCase	,				__lowerCAmelCase					=  model, model
				__lowerCAmelCase	,				__lowerCAmelCase					=  True, False

				return dpll_algorithm(__UpperCamelCase						,			__UpperCamelCase						,			__UpperCamelCase   ) or dpll_algorithm(__UpperCamelCase						,			__UpperCamelCase						,			__UpperCamelCase   )


if __name__ == "__main__":
	import doctest

	doctest.testmod()

	__A						:		Dict          =						generate_formula()
	print(f"""The formula {formula} is""", end=" ")

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

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







"""simple docstring"""


import unittest

import numpy as np
import PIL
import torch

from diffusers.image_processor import VaeImageProcessor







class 						lowerCamelCase__   (   unittest.TestCase							):





			'''simple docstring'''



			@property
			def    _lowerCAmelCase						(				self    )					->	List[str]:
				_lowerCAmelCase								=1
				_lowerCAmelCase								=3
				_lowerCAmelCase								=8
				_lowerCAmelCase								=8

				_lowerCAmelCase								=torch.rand((batch_size, num_channels, height, width)    )

				return sample



			def    _lowerCAmelCase						(				self	,	__UpperCAmelCase    )					->	Any:
				if isinstance(image[0]	,	PIL.Image.Image    ):
					return np.stack([np.array(__UpperCAmelCase    ) for i in image]	,	axis=0    )
				elif isinstance(__UpperCAmelCase	,	torch.Tensor    ):
					return image.cpu().numpy().transpose(0	,	2	,	3	,	1    )
				return image



			def    _lowerCAmelCase						(				self    )					->	Tuple:
				_lowerCAmelCase								=VaeImageProcessor(do_resize=__UpperCAmelCase	,	do_normalize=__UpperCAmelCase    )

				_lowerCAmelCase								=self.dummy_sample
				_lowerCAmelCase								=self.to_np(__UpperCAmelCase    )

				for output_type in ["pt", "np", "pil"]:
					_lowerCAmelCase								=image_processor.postprocess(
					    image_processor.preprocess(__UpperCAmelCase    )	,	output_type=__UpperCAmelCase	,	)
					_lowerCAmelCase								=self.to_np(__UpperCAmelCase    )
					_lowerCAmelCase								=(input_np * 2_55).round() if output_type == """pil""" else input_np
					assert (
					    np.abs(in_np - out_np    ).max() < 1e-6
					), f'''decoded output does not match input for output_type {output_type}'''



			def    _lowerCAmelCase						(				self    )					->	Union[str, Any]:
				_lowerCAmelCase								=VaeImageProcessor(do_resize=__UpperCAmelCase	,	do_normalize=__UpperCAmelCase    )
				_lowerCAmelCase								=self.dummy_sample.cpu().numpy().transpose(0	,	2	,	3	,	1    )

				for output_type in ["pt", "np", "pil"]:
					_lowerCAmelCase								=image_processor.postprocess(image_processor.preprocess(__UpperCAmelCase    )	,	output_type=__UpperCAmelCase    )

					_lowerCAmelCase								=self.to_np(__UpperCAmelCase    )
					_lowerCAmelCase								=(input_np * 2_55).round() if output_type == """pil""" else input_np
					assert (
					    np.abs(in_np - out_np    ).max() < 1e-6
					), f'''decoded output does not match input for output_type {output_type}'''



			def    _lowerCAmelCase						(				self    )					->	List[str]:
				_lowerCAmelCase								=VaeImageProcessor(do_resize=__UpperCAmelCase	,	do_normalize=__UpperCAmelCase    )

				_lowerCAmelCase								=self.dummy_sample.cpu().numpy().transpose(0	,	2	,	3	,	1    )
				_lowerCAmelCase								=image_processor.numpy_to_pil(__UpperCAmelCase    )

				for output_type in ["pt", "np", "pil"]:
					_lowerCAmelCase								=image_processor.postprocess(image_processor.preprocess(__UpperCAmelCase    )	,	output_type=__UpperCAmelCase    )
					for i, o in zip(__UpperCAmelCase	,	__UpperCAmelCase    ):
						_lowerCAmelCase								=np.array(__UpperCAmelCase    )
						_lowerCAmelCase								=self.to_np(__UpperCAmelCase    ) if output_type == """pil""" else (self.to_np(__UpperCAmelCase    ) * 2_55).round()
						assert (
						    np.abs(in_np - out_np    ).max() < 1e-6
						), f'''decoded output does not match input for output_type {output_type}'''



			def    _lowerCAmelCase						(				self    )					->	Tuple:
				_lowerCAmelCase								=VaeImageProcessor(do_resize=__UpperCAmelCase	,	do_normalize=__UpperCAmelCase    )

				_lowerCAmelCase								=self.dummy_sample
				_lowerCAmelCase								=input_pt_ad.squeeze(0    )

				_lowerCAmelCase								=image_processor.postprocess(
				    image_processor.preprocess(__UpperCAmelCase    )	,	output_type="""np"""	,	)
				_lowerCAmelCase								=image_processor.postprocess(
				    image_processor.preprocess(__UpperCAmelCase    )	,	output_type="""np"""	,	)

				_lowerCAmelCase								=self.to_np(self.dummy_sample    )
				_lowerCAmelCase								=input_np_ad.squeeze(0    )

				_lowerCAmelCase								=image_processor.postprocess(
				    image_processor.preprocess(__UpperCAmelCase    )	,	output_type="""np"""	,	)
				_lowerCAmelCase								=image_processor.postprocess(
				    image_processor.preprocess(__UpperCAmelCase    )	,	output_type="""np"""	,	)

				assert np.abs(out_pt_ad - out_pt_ad    ).max() < 1e-6
				assert np.abs(out_np_ad - out_np_ad    ).max() < 1e-6



			def    _lowerCAmelCase						(				self    )					->	Optional[Any]:
				_lowerCAmelCase								=VaeImageProcessor(do_resize=__UpperCAmelCase	,	do_normalize=__UpperCAmelCase    )

				_lowerCAmelCase								=self.dummy_sample
				_lowerCAmelCase								=list(__UpperCAmelCase    )

				_lowerCAmelCase								=image_processor.postprocess(
				    image_processor.preprocess(__UpperCAmelCase    )	,	output_type="""np"""	,	)

				_lowerCAmelCase								=image_processor.postprocess(
				    image_processor.preprocess(__UpperCAmelCase    )	,	output_type="""np"""	,	)

				_lowerCAmelCase								=self.to_np(self.dummy_sample    )
				list(__UpperCAmelCase    )

				_lowerCAmelCase								=image_processor.postprocess(
				    image_processor.preprocess(__UpperCAmelCase    )	,	output_type="""np"""	,	)

				_lowerCAmelCase								=image_processor.postprocess(
				    image_processor.preprocess(__UpperCAmelCase    )	,	output_type="""np"""	,	)

				assert np.abs(out_pt_ad - out_pt_list    ).max() < 1e-6
				assert np.abs(out_np_ad - out_np_list    ).max() < 1e-6



