


from __future__ import annotations

import random
from collections.abc import Iterable


class 	a__						:

       def __init__( self   :  str   ,				lowerCamelCase_   :  list[str]     ):
            a_     :  Union[str, Any]				      =     {literal: None for literal in literals}

       def __str__( self   :  List[str]     ):
            return "{" + " , ".join(self.literals     ) + "}"

       def __len__( self   :  Union[str, Any]     ):
            return len(self.literals     )

       def     UpperCAmelCase( self   :  Tuple   ,				lowerCamelCase_   :  dict[str, bool | None]     ):
            for literal in self.literals:
                 a_     :  Tuple				      =     literal[:2]
                 if symbol in model:
                      a_     :  int				      =     model[symbol]
                 else:
                      continue
                 if value is not None:
                      # Complement assignment if literal is in complemented form
                      if literal.endswith("""'"""     ):
                           a_     :  Union[str, Any]				      =     not value
                 a_     :  Union[str, Any]				      =     value

       def     UpperCAmelCase( self   :  Optional[int]   ,				lowerCamelCase_   :  dict[str, bool | None]     ):
            for literal in self.literals:
                 a_     :  Union[str, Any]				      =     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 	a__						:

       def __init__( self   :  List[str]   ,				lowerCamelCase_   :  Iterable[Clause]     ):
            a_     :  Optional[int]				      =     list(UpperCAmelCase__     )

       def __str__( self   :  Any     ):
            return "{" + " , ".join(str(UpperCAmelCase__     ) for clause in self.clauses     ) + "}"



def 			_a      (    ):
     a_     :  str				      =     []
     a_     :  Dict				      =     random.randint(1	,	5			)
     a_     :  Tuple				      =     """A"""
     a_     :  Tuple				      =     0
     while i < no_of_literals:
          a_     :  Any				      =     random.randint(1	,	5			)
          a_     :  List[str]				      =     base_var + str(UpperCamelCase_			)
          a_     :  Optional[Any]				      =     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 			_a      (    ):
     a_     :  str				      =     set()
     a_     :  Dict				      =     random.randint(1	,	1_0			)
     while len(UpperCamelCase_			) < no_of_clauses:
          clauses.add(generate_clause()			)
     return Formula(UpperCamelCase_			)



def 			_a      (    __UpperCamelCase			):
     a_     :  List[str]				      =     formula.clauses
     a_     :  Optional[int]				      =     []
     for clause in formula.clauses:
          for literal in clause.literals:
               a_     :  Tuple				      =     literal[:2]
               if symbol not in symbols_set:
                    symbols_set.append(UpperCamelCase_			)
     return clauses, symbols_set



def 			_a      (    __UpperCamelCase	,	__UpperCamelCase	,	__UpperCamelCase			):
     a_     :  Optional[int]				      =     []
     a_     :  List[Any]				      =     {}
     a_     :  str				      =     []

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

     for s in symbols:
          a_     :  Dict				      =     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:
          a_     :  List[Any]				      =     None
     for s in pure_symbols:
          a_     :  str				      =     s + """'"""
          if s in literals:
               a_     :  Optional[int]				      =     True
          elif sym in literals:
               a_     :  int				      =     False
     return pure_symbols, assignment



def 			_a      (    __UpperCamelCase	,	__UpperCamelCase			):
     a_     :  Any				      =     []
     for clause in clauses:
          if len(UpperCamelCase_			) == 1:
               unit_symbols.append(list(clause.literals.keys()			)[0]			)
          else:
               a_      ,      a_     :  Optional[int]				      =     0, 0
               for literal, value in clause.literals.items():
                    if value is False:
                         f_count += 1
                    elif value is None:
                         a_     :  Any				      =     literal
                         n_count += 1
               if f_count == len(UpperCamelCase_			) - 1 and n_count == 1:
                    unit_symbols.append(UpperCamelCase_			)
     a_     :  Union[str, Any]				      =     {}
     for i in unit_symbols:
          a_     :  int				      =     i[:2]
          a_     :  List[Any]				      =     len(UpperCamelCase_			) == 2
     a_     :  int				      =     [i[:2] for i in unit_symbols]

     return unit_symbols, assignment



def 			_a      (    __UpperCamelCase	,	__UpperCamelCase	,	__UpperCamelCase			):
     a_     :  Any				      =     True
     for clause in clauses:
          a_     :  List[Any]				      =     clause.evaluate(UpperCamelCase_			)
          if clause_check is False:
               return False, None
          elif clause_check is None:
               a_     :  List[str]				      =     False
               continue

     if check_clause_all_true:
          return True, model

     try:
          a_      ,      a_     :  Any				      =     find_pure_symbols(UpperCamelCase_	,	UpperCamelCase_	,	UpperCamelCase_			)
     except RecursionError:
          print("""raises a RecursionError and is"""			)
          return None, {}
     a_     :  Optional[Any]				      =     None
     if len(UpperCamelCase_			) > 0:
          a_      ,      a_     :  Tuple				      =     pure_symbols[0], assignment[pure_symbols[0]]

     if p:
          a_     :  Optional[int]				      =     model
          a_     :  str				      =     value
          a_     :  List[Any]				      =     list(UpperCamelCase_			)
          if p in tmp_symbols:
               tmp_symbols.remove(UpperCamelCase_			)
          return dpll_algorithm(UpperCamelCase_	,	UpperCamelCase_	,	UpperCamelCase_			)

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

     return dpll_algorithm(UpperCamelCase_	,	UpperCamelCase_	,	UpperCamelCase_			) or dpll_algorithm(UpperCamelCase_	,	UpperCamelCase_	,	UpperCamelCase_			)


if __name__ == "__main__":
       import doctest

       doctest.testmod()

       __lowerCamelCase   	=  generate_formula()
       print(f'''The formula {formula} is''', end=''' ''')

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

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






"""simple docstring"""





import tempfile
import unittest

from diffusers import (
    DDIMScheduler,
    DDPMScheduler,
    DPMSolverMultistepScheduler,
    EulerAncestralDiscreteScheduler,
    EulerDiscreteScheduler,
    PNDMScheduler,
    logging,
)
from diffusers.configuration_utils import ConfigMixin, register_to_config
from diffusers.utils.testing_utils import CaptureLogger




class    _lowerCAmelCase    (      lowercase  ):







 """simple docstring"""







 __UpperCAmelCase      :   Tuple  						=      "config.json"


 @register_to_config
 def __init__(     self				:     List[str],   UpperCAmelCase__				:     Dict=2,   UpperCAmelCase__				:     str=5,   UpperCAmelCase__				:     List[Any]=(2, 5),   UpperCAmelCase__				:     Dict="for diffusion",   UpperCAmelCase__				:     Optional[int]=[1, 3],   ):
    pass







class    _lowerCAmelCase    (      lowercase  ):







 """simple docstring"""







 __UpperCAmelCase      :   List[str]  						=      "config.json"


 @register_to_config
 def __init__(     self				:     Optional[int],   UpperCAmelCase__				:     List[str]=2,   UpperCAmelCase__				:     List[str]=5,   UpperCAmelCase__				:     List[Any]=(2, 5),   UpperCAmelCase__				:     str="for diffusion",   UpperCAmelCase__				:     str=[1, 3],   ):
    pass







class    _lowerCAmelCase    (      lowercase  ):







 """simple docstring"""







 __UpperCAmelCase      :   str  						=      "config.json"


 @register_to_config
 def __init__(     self				:     Union[str, Any],   UpperCAmelCase__				:     Union[str, Any]=2,   UpperCAmelCase__				:     str=5,   UpperCAmelCase__				:     Optional[int]=(2, 5),   UpperCAmelCase__				:     str="for diffusion",   UpperCAmelCase__				:     str=[1, 3],   UpperCAmelCase__				:     Dict=[1, 3],   ):
    pass







class    _lowerCAmelCase    (      lowercase  ):







 """simple docstring"""







 __UpperCAmelCase      :   List[str]  						=      "config.json"


 @register_to_config
 def __init__(     self				:     Union[str, Any],   UpperCAmelCase__				:     Any=2,   UpperCAmelCase__				:     Union[str, Any]=5,   UpperCAmelCase__				:     Optional[Any]=(2, 5),   UpperCAmelCase__				:     List[str]="for diffusion",   UpperCAmelCase__				:     Optional[Any]=[1, 5],   UpperCAmelCase__				:     Dict=[5, 4],   ):
    pass







class    _lowerCAmelCase    (      unittest.TestCase  ):







 """simple docstring"""







 def    _lowercase					(     self				:     Optional[int]      ):
    with self.assertRaises(UpperCAmelCase__      ):
       ConfigMixin.load_config("dummy_path"      )


 def    _lowercase					(     self				:     Optional[int]      ):
    __lowercase								=		SampleObject()
    __lowercase								=		obj.config
    assert config["a"] == 2
    assert config["b"] == 5
    assert config["c"] == (2, 5)
    assert config["d"] == "for diffusion"
    assert config["e"] == [1, 3]

    # init ignore private arguments
    __lowercase								=		SampleObject(_name_or_path="lalala"      )
    __lowercase								=		obj.config
    assert config["a"] == 2
    assert config["b"] == 5
    assert config["c"] == (2, 5)
    assert config["d"] == "for diffusion"
    assert config["e"] == [1, 3]

    # can override default
    __lowercase								=		SampleObject(c=6      )
    __lowercase								=		obj.config
    assert config["a"] == 2
    assert config["b"] == 5
    assert config["c"] == 6
    assert config["d"] == "for diffusion"
    assert config["e"] == [1, 3]

    # can use positional arguments.
    __lowercase								=		SampleObject(1,   c=6      )
    __lowercase								=		obj.config
    assert config["a"] == 1
    assert config["b"] == 5
    assert config["c"] == 6
    assert config["d"] == "for diffusion"
    assert config["e"] == [1, 3]


 def    _lowercase					(     self				:     Tuple      ):
    __lowercase								=		SampleObject()
    __lowercase								=		obj.config

    assert config["a"] == 2
    assert config["b"] == 5
    assert config["c"] == (2, 5)
    assert config["d"] == "for diffusion"
    assert config["e"] == [1, 3]

    with tempfile.TemporaryDirectory() as tmpdirname:
       obj.save_config(UpperCAmelCase__      )
       __lowercase								=		SampleObject.from_config(SampleObject.load_config(UpperCAmelCase__      )      )
       __lowercase								=		new_obj.config

    # unfreeze configs
    __lowercase								=		dict(UpperCAmelCase__      )
    __lowercase								=		dict(UpperCAmelCase__      )

    assert config.pop("c"      ) == (2, 5)  # instantiated as tuple
    assert new_config.pop("c"      ) == [2, 5]  # saved & loaded as list because of json
    config.pop("_use_default_values"      )
    assert config == new_config


 def    _lowercase					(     self				:     Any      ):
    __lowercase								=		logging.get_logger("diffusers.configuration_utils"      )
    # 30 for warning
    logger.setLevel(3_0      )

    with CaptureLogger(UpperCAmelCase__      ) as cap_logger:
       __lowercase								=		DDIMScheduler.from_pretrained(
           "hf-internal-testing/tiny-stable-diffusion-torch",   subfolder="scheduler"      )

    assert ddim.__class__ == DDIMScheduler
    # no warning should be thrown
    assert cap_logger.out == ""


 def    _lowercase					(     self				:     int      ):
    __lowercase								=		logging.get_logger("diffusers.configuration_utils"      )
    # 30 for warning
    logger.setLevel(3_0      )

    with CaptureLogger(UpperCAmelCase__      ) as cap_logger:
       __lowercase								=		EulerDiscreteScheduler.from_pretrained(
           "hf-internal-testing/tiny-stable-diffusion-torch",   subfolder="scheduler"      )

    assert euler.__class__ == EulerDiscreteScheduler
    # no warning should be thrown
    assert cap_logger.out == ""


 def    _lowercase					(     self				:     Optional[Any]      ):
    __lowercase								=		logging.get_logger("diffusers.configuration_utils"      )
    # 30 for warning
    logger.setLevel(3_0      )

    with CaptureLogger(UpperCAmelCase__      ) as cap_logger:
       __lowercase								=		EulerAncestralDiscreteScheduler.from_pretrained(
           "hf-internal-testing/tiny-stable-diffusion-torch",   subfolder="scheduler"      )

    assert euler.__class__ == EulerAncestralDiscreteScheduler
    # no warning should be thrown
    assert cap_logger.out == ""


 def    _lowercase					(     self				:     str      ):
    __lowercase								=		logging.get_logger("diffusers.configuration_utils"      )
    # 30 for warning
    logger.setLevel(3_0      )

    with CaptureLogger(UpperCAmelCase__      ) as cap_logger:
       __lowercase								=		PNDMScheduler.from_pretrained(
           "hf-internal-testing/tiny-stable-diffusion-torch",   subfolder="scheduler"      )

    assert pndm.__class__ == PNDMScheduler
    # no warning should be thrown
    assert cap_logger.out == ""


 def    _lowercase					(     self				:     Optional[Any]      ):
    __lowercase								=		logging.get_logger("diffusers.configuration_utils"      )
    # 30 for warning
    logger.setLevel(3_0      )

    with CaptureLogger(UpperCAmelCase__      ) as cap_logger:
       __lowercase								=		DDPMScheduler.from_pretrained(
           "hf-internal-testing/tiny-stable-diffusion-torch",   subfolder="scheduler",   prediction_type="sample",   beta_end=8,   )

    with CaptureLogger(UpperCAmelCase__      ) as cap_logger_a:
       __lowercase								=		DDPMScheduler.from_pretrained("google/ddpm-celebahq-256",   beta_start=8_8      )

    assert ddpm.__class__ == DDPMScheduler
    assert ddpm.config.prediction_type == "sample"
    assert ddpm.config.beta_end == 8
    assert ddpm_a.config.beta_start == 8_8

    # no warning should be thrown
    assert cap_logger.out == ""
    assert cap_logger_a.out == ""


 def    _lowercase					(     self				:     List[Any]      ):
    __lowercase								=		logging.get_logger("diffusers.configuration_utils"      )
    # 30 for warning
    logger.setLevel(3_0      )

    with CaptureLogger(UpperCAmelCase__      ) as cap_logger:
       __lowercase								=		DPMSolverMultistepScheduler.from_pretrained(
           "hf-internal-testing/tiny-stable-diffusion-torch",   subfolder="scheduler"      )

    assert dpm.__class__ == DPMSolverMultistepScheduler
    # no warning should be thrown
    assert cap_logger.out == ""



 def    _lowercase					(     self				:     str      ):
    # let's first save a config that should be in the form
    #    a=2,
    #    b=5,
    #    c=(2, 5),
    #    d="for diffusion",
    #    e=[1, 3],

    __lowercase								=		SampleObject()

    __lowercase								=		{k: v for k, v in config.config.items() if not k.startswith("_"      )}

    # make sure that default config has all keys in `_use_default_values`
    assert set(config_dict.keys()      ) == set(config.config._use_default_values      )

    with tempfile.TemporaryDirectory() as tmpdirname:
       config.save_config(UpperCAmelCase__      )

       # now loading it with SampleObject2 should put f into `_use_default_values`
       __lowercase								=		SampleObjecta.from_config(UpperCAmelCase__      )

       assert "f" in config._use_default_values
       assert config.f == [1, 3]

    # now loading the config, should **NOT** use [1, 3] for `f`, but the default [1, 4] value
    # **BECAUSE** it is part of `config._use_default_values`
    __lowercase								=		SampleObjecta.from_config(config.config      )
    assert new_config.f == [5, 4]

    config.config._use_default_values.pop()
    __lowercase								=		SampleObjecta.from_config(config.config      )
    assert new_config_a.f == [1, 3]

    # Nevertheless "e" should still be correctly loaded to [1, 3] from SampleObject2 instead of defaulting to [1, 5]
    assert new_config_a.e == [1, 3]




