
from __future__ import annotations

import random
from collections.abc import Iterable





class      _lowerCAmelCase :




				def __init__( self    ,    _UpperCamelCase					)    ->				None:
							lowerCAmelCase_      =     {literal: None for literal in literals}




				def __str__( self					)    ->				str:
							return "{" + " , ".join(self.literals					) + "}"




				def __len__( self					)    ->				int:
							return len(self.literals					)




				def 					__a						( self    ,    _UpperCamelCase					)    ->				None:
							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 					__a						( self    ,    _UpperCamelCase					)    ->				bool | None:
							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      _lowerCAmelCase :




				def __init__( self    ,    _UpperCamelCase					)    ->				None:
							lowerCAmelCase_      =     list(_UpperCamelCase					)




				def __str__( self					)    ->				str:
							return "{" + " , ".join(str(_UpperCamelCase					) for clause in self.clauses					) + "}"






def        lowerCamelCase__    (    ):




			"""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(__lowerCAmelCase    )
						lowerCAmelCase_      =     random.randint(0   ,							1    )
						if var_complement == 1:
									var_name += "'"
						if var_name in literals:
									i -= 1
						else:
									literals.append(__lowerCAmelCase    )
						i += 1
			return Clause(__lowerCAmelCase    )






def        lowerCamelCase__    (    ):




			"""simple docstring"""


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






def        lowerCamelCase__    (    __lowerCAmelCase  :  Formula    ):




			"""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(__lowerCAmelCase    )
			return clauses, symbols_set






def        lowerCamelCase__    (    __lowerCAmelCase  :  list[Clause]   ,							__lowerCAmelCase  :  list[str]   ,							__lowerCAmelCase  :  dict[str, bool | None]    ):




			"""simple docstring"""


			lowerCAmelCase_      =     []
			lowerCAmelCase_      =     {}
			lowerCAmelCase_      =     []

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

			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(__lowerCAmelCase    )
			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        lowerCamelCase__    (    __lowerCAmelCase  :  list[Clause]   ,							__lowerCAmelCase  :  dict[str, bool | None]    ):




			"""simple docstring"""


			lowerCAmelCase_      =     []
			for clause in clauses:
						if len(__lowerCAmelCase    ) == 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(__lowerCAmelCase    ) - 1 and n_count == 1:
												unit_symbols.append(__lowerCAmelCase    )
			lowerCAmelCase_      =     {}
			for i in unit_symbols:
						lowerCAmelCase_      =     i[:2]
						lowerCAmelCase_      =     len(__lowerCAmelCase    ) == 2
			lowerCAmelCase_      =     [i[:2] for i in unit_symbols]

			return unit_symbols, assignment






def        lowerCamelCase__    (    __lowerCAmelCase  :  list[Clause]   ,							__lowerCAmelCase  :  list[str]   ,							__lowerCAmelCase  :  dict[str, bool | None]    ):




			"""simple docstring"""


			lowerCAmelCase_      =     True
			for clause in clauses:
						lowerCAmelCase_      =     clause.evaluate(__lowerCAmelCase    )
						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(__lowerCAmelCase   ,							__lowerCAmelCase   ,							__lowerCAmelCase    )
			except RecursionError:
						print("raises a RecursionError and is"    )
						return None, {}
			lowerCAmelCase_      =     None
			if len(__lowerCAmelCase    ) > 0:
						lowerCAmelCase_     ,  lowerCAmelCase_      =     pure_symbols[0], assignment[pure_symbols[0]]

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

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

			return dpll_algorithm(__lowerCAmelCase   ,							__lowerCAmelCase   ,							__lowerCAmelCase    ) or dpll_algorithm(__lowerCAmelCase   ,							__lowerCAmelCase   ,							__lowerCAmelCase    )


if __name__ == "__main__":
			import doctest

			doctest.testmod()

			_A       =					generate_formula()
			print(f"""The formula {formula} is""", end=" ")

			_A,				_A       =					generate_parameters(formula)
			_A,				_A       =					dpll_algorithm(clauses, symbols, {})

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





import torch
import torch.nn.functional as F

from diffusers import VQDiffusionScheduler

from .test_schedulers import SchedulerCommonTest





class      _lowerCAmelCase (     __a	):
				_lowercase      		=(VQDiffusionScheduler,)




				def 					__a						( self    ,    **_UpperCamelCase					)    ->				List[str]:
							lowerCAmelCase_      =     {
							    "num_vec_classes": 4_097,
							    "num_train_timesteps": 100,
							}

							config.update(**_UpperCamelCase					)
							return config




				def 					__a						( self    ,    _UpperCamelCase					)    ->				str:
							lowerCAmelCase_      =     4
							lowerCAmelCase_      =     8
							lowerCAmelCase_      =     8

							lowerCAmelCase_      =     torch.randint(0    ,    _UpperCamelCase    ,    (batch_size, height * width)					)

							return sample




				@property
				def 					__a						( self					)    ->				List[str]:
							assert False




				def 					__a						( self    ,    _UpperCamelCase					)    ->				Tuple:
							def model(_UpperCamelCase    ,    _UpperCamelCase    ,    *_UpperCamelCase					):
										lowerCAmelCase_     ,  lowerCAmelCase_      =     sample.shape
										lowerCAmelCase_      =     torch.rand((batch_size, num_vec_classes - 1, num_latent_pixels)					)
										lowerCAmelCase_      =     F.log_softmax(logits.double()    ,    dim=1					).float()
										return return_value

							return model




				def 					__a						( self					)    ->				str:
							for timesteps in [2, 5, 100, 1_000]:
										self.check_over_configs(num_train_timesteps=_UpperCamelCase					)




				def 					__a						( self					)    ->				Dict:
							for num_vec_classes in [5, 100, 1_000, 4_000]:
										self.check_over_configs(num_vec_classes=_UpperCamelCase					)




				def 					__a						( self					)    ->				Tuple:
							for t in [0, 50, 99]:
										self.check_over_forward(time_step=_UpperCamelCase					)




				def 					__a						( self					)    ->				List[str]:
							pass



