





import importlib
import os
import sys


# This is required to make the module import works (when the python process is running from the root of the repo)
sys.path.append('.')

def   a_    ( lowerCAmelCase_      :			Tuple	):
   __lowerCAmelCase								=	test_file.split(os.path.sep	)
   if components[0:2] != ["tests", "models"]:
      raise ValueError(
          '`test_file` should start with `tests/models/` (with `/` being the OS specific path separator). Got '
          F"""{test_file} instead."""	)
   __lowerCAmelCase								=	components[-1]
   if not test_fn.endswith('py'	):
      raise ValueError(F"""`test_file` should be a python file. Got {test_fn} instead."""	)
   if not test_fn.startswith('test_modeling_'	):
      raise ValueError(
          F"""`test_file` should point to a file name of the form `test_modeling_*.py`. Got {test_fn} instead."""	)

   __lowerCAmelCase								=	components[:-1] + [test_fn.replace('.py',	''	)]
   __lowerCAmelCase								=	'.'.join(lowerCAmelCase_	)

   return test_module_path

def   a_    ( lowerCAmelCase_      :			Tuple	):
   __lowerCAmelCase								=	get_module_path(lowerCAmelCase_	)
   __lowerCAmelCase								=	importlib.import_module(lowerCAmelCase_	)

   return test_module

def   a_    ( lowerCAmelCase_      :			Union[str, Any]	):
   __lowerCAmelCase								=	[]
   __lowerCAmelCase								=	get_test_module(lowerCAmelCase_	)
   for attr in dir(lowerCAmelCase_	):
      if attr.endswith('ModelTester'	):
         tester_classes.append(getattr(lowerCAmelCase_,	lowerCAmelCase_	)	)

    # sort with class names
   return sorted(lowerCAmelCase_,	key=lambda lowerCAmelCase_	: x.__name__	)

def   a_    ( lowerCAmelCase_      :			int	):
   __lowerCAmelCase								=	[]
   __lowerCAmelCase								=	get_test_module(lowerCAmelCase_	)
   for attr in dir(lowerCAmelCase_	):
      __lowerCAmelCase								=	getattr(lowerCAmelCase_,	lowerCAmelCase_	)
      # (TF/Flax)ModelTesterMixin is also an attribute in specific model test module. Let's exclude them by checking
      # `all_model_classes` is not empty (which also excludes other special classes).
      __lowerCAmelCase								=	getattr(lowerCAmelCase_,	'all_model_classes',	[]	)
      if len(lowerCAmelCase_	) > 0:
         test_classes.append(lowerCAmelCase_	)

    # sort with class names
   return sorted(lowerCAmelCase_,	key=lambda lowerCAmelCase_	: x.__name__	)

def   a_    ( lowerCAmelCase_      :			int	):
   __lowerCAmelCase								=	get_test_classes(lowerCAmelCase_	)
   __lowerCAmelCase								=	set()
   for test_class in test_classes:
      model_classes.update(test_class.all_model_classes	)

   # sort with class names
   return sorted(lowerCAmelCase_,	key=lambda lowerCAmelCase_	: x.__name__	)

def   a_    ( lowerCAmelCase_      :			int	):
   __lowerCAmelCase								=	test_class()
   if hasattr(lowerCAmelCase_,	'setUp'	):
      test.setUp()

   __lowerCAmelCase								=	None
   if hasattr(lowerCAmelCase_,	'model_tester'	):
      # `(TF/Flax)ModelTesterMixin` has this attribute default to `None`. Let's skip this case.
      if test.model_tester is not None:
         __lowerCAmelCase								=	test.model_tester.__class__

   return model_tester

def   a_    ( lowerCAmelCase_      :			int,	lowerCAmelCase_      :			Dict	):
   __lowerCAmelCase								=	get_test_classes(lowerCAmelCase_	)

   __lowerCAmelCase								=	[]
   for test_class in test_classes:
      if model_class in test_class.all_model_classes:
         target_test_classes.append(lowerCAmelCase_	)

    # sort with class names
   return sorted(lowerCAmelCase_,	key=lambda lowerCAmelCase_	: x.__name__	)

def   a_    ( lowerCAmelCase_      :			List[str],	lowerCAmelCase_      :			Tuple	):
   __lowerCAmelCase								=	get_test_classes_for_model(lowerCAmelCase_,	lowerCAmelCase_	)

   __lowerCAmelCase								=	[]
   for test_class in test_classes:
      __lowerCAmelCase								=	get_model_tester_from_test_class(lowerCAmelCase_	)
      if tester_class is not None:
         tester_classes.append(lowerCAmelCase_	)

    # sort with class names
   return sorted(lowerCAmelCase_,	key=lambda lowerCAmelCase_	: x.__name__	)

def   a_    ( lowerCAmelCase_      :			Optional[Any]	):
   __lowerCAmelCase								=	get_test_classes(lowerCAmelCase_	)
   __lowerCAmelCase								=	{test_class: get_model_tester_from_test_class(lowerCAmelCase_	) for test_class in test_classes}
   return test_tester_mapping

def   a_    ( lowerCAmelCase_      :			Union[str, Any]	):
   __lowerCAmelCase								=	get_model_classes(lowerCAmelCase_	)
   __lowerCAmelCase								=	{
       model_class: get_test_classes_for_model(lowerCAmelCase_,	lowerCAmelCase_	) for model_class in model_classes
   }
   return model_test_mapping

def   a_    ( lowerCAmelCase_      :			int	):
   __lowerCAmelCase								=	get_model_classes(lowerCAmelCase_	)
   __lowerCAmelCase								=	{
       model_class: get_tester_classes_for_model(lowerCAmelCase_,	lowerCAmelCase_	) for model_class in model_classes
   }
   return model_to_tester_mapping




def   a_    ( lowerCAmelCase_      :			Tuple	):
   if isinstance(lowerCAmelCase_,	lowerCAmelCase_	):
      return o
   elif isinstance(lowerCAmelCase_,	lowerCAmelCase_	):
      return o.__name__
   elif isinstance(lowerCAmelCase_,	(list, tuple)	):
      return [to_json(lowerCAmelCase_	) for x in o]
   elif isinstance(lowerCAmelCase_,	lowerCAmelCase_	):
      return {to_json(lowerCAmelCase_	): to_json(lowerCAmelCase_	) for k, v in o.items()}
   else:
      return o








def   a_    ( lowerCAmelCase_      :			int	):

   if p < 2:
      raise ValueError('p should not be less than 2!'	)
   elif p == 2:
      return True

   __lowerCAmelCase								=	4
   __lowerCAmelCase								=	(1 << p) - 1
   for _ in range(p - 2	):
      __lowerCAmelCase								=	((s * s) - 2) % m
   return s == 0


if __name__ == "__main__":
     print(lucas_lehmer_test(7))
     print(lucas_lehmer_test(11))

