'''simple docstring'''




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 _lowercase	(      lowerCamelCase__						)					->       str:





       """simple docstring"""


       __UpperCAmelCase  :				str       				=		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."""						)
       __UpperCAmelCase  :				Optional[Any]       				=		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."""						)

       __UpperCAmelCase  :				str       				=		components[:-1] + [test_fn.replace(".py"							,    ""						)]
       __UpperCAmelCase  :				Dict       				=		".".join(lowerCamelCase__						)

       return test_module_path

def _lowercase	(      lowerCamelCase__						)					->       Optional[int]:





       """simple docstring"""


       __UpperCAmelCase  :				Optional[int]       				=		get_module_path(lowerCamelCase__						)
       __UpperCAmelCase  :				List[Any]       				=		importlib.import_module(lowerCamelCase__						)

       return test_module

def _lowercase	(      lowerCamelCase__						)					->       Tuple:





       """simple docstring"""


       __UpperCAmelCase  :				List[Any]       				=		[]
       __UpperCAmelCase  :				Any       				=		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 _lowercase	(      lowerCamelCase__						)					->       Union[str, Any]:





       """simple docstring"""


       __UpperCAmelCase  :				int       				=		[]
       __UpperCAmelCase  :				Any       				=		get_test_module(lowerCamelCase__						)
       for attr in dir(lowerCamelCase__						):
              __UpperCAmelCase  :				Optional[Any]       				=		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).
              __UpperCAmelCase  :				Optional[Any]       				=		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 _lowercase	(      lowerCamelCase__						)					->       Any:





       """simple docstring"""


       __UpperCAmelCase  :				Tuple       				=		get_test_classes(lowerCamelCase__						)
       __UpperCAmelCase  :				Optional[int]       				=		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 _lowercase	(      lowerCamelCase__						)					->       Optional[Any]:





       """simple docstring"""


       __UpperCAmelCase  :				Any       				=		test_class()
       if hasattr(lowerCamelCase__							,    "setUp"						):
              test.setUp()

       __UpperCAmelCase  :				str       				=		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:
                     __UpperCAmelCase  :				Optional[int]       				=		test.model_tester.__class__

       return model_tester

def _lowercase	(      lowerCamelCase__							,    lowerCamelCase__						)					->       List[str]:





       """simple docstring"""


       __UpperCAmelCase  :				str       				=		get_test_classes(lowerCamelCase__						)

       __UpperCAmelCase  :				List[Any]       				=		[]
       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 _lowercase	(      lowerCamelCase__							,    lowerCamelCase__						)					->       str:





       """simple docstring"""


       __UpperCAmelCase  :				Union[str, Any]       				=		get_test_classes_for_model(lowerCamelCase__							,    lowerCamelCase__						)

       __UpperCAmelCase  :				Union[str, Any]       				=		[]
       for test_class in test_classes:
              __UpperCAmelCase  :				Dict       				=		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 _lowercase	(      lowerCamelCase__						)					->       Tuple:





       """simple docstring"""


       __UpperCAmelCase  :				str       				=		get_test_classes(lowerCamelCase__						)
       __UpperCAmelCase  :				Tuple       				=		{test_class: get_model_tester_from_test_class(lowerCamelCase__						) for test_class in test_classes}
       return test_tester_mapping

def _lowercase	(      lowerCamelCase__						)					->       Any:





       """simple docstring"""


       __UpperCAmelCase  :				Tuple       				=		get_model_classes(lowerCamelCase__						)
       __UpperCAmelCase  :				Union[str, Any]       				=		{
           model_class: get_test_classes_for_model(lowerCamelCase__							,    lowerCamelCase__						) for model_class in model_classes
       }
       return model_test_mapping

def _lowercase	(      lowerCamelCase__						)					->       List[Any]:





       """simple docstring"""


       __UpperCAmelCase  :				Union[str, Any]       				=		get_model_classes(lowerCamelCase__						)
       __UpperCAmelCase  :				str       				=		{
           model_class: get_tester_classes_for_model(lowerCamelCase__							,    lowerCamelCase__						) for model_class in model_classes
       }
       return model_to_tester_mapping


def _lowercase	(      lowerCamelCase__						)					->       Optional[int]:





       """simple docstring"""


       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







'''simple docstring'''




from maths.is_square_free import is_square_free
from maths.prime_factors import prime_factors

def _lowercase	(      lowerCamelCase__						)					->       int:





       """simple docstring"""


       __UpperCAmelCase  :				Any       				=		prime_factors(lowerCamelCase__						)
       if is_square_free(lowerCamelCase__						):
              return -1 if len(lowerCamelCase__						) % 2 else 1
       return 0


if __name__ == "__main__":
   import doctest

   doctest.testmod()






