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      lowerCamelCase_(__SCREAMING_SNAKE_CASE  )->    int:
							_SCREAMING_SNAKE_CASE		:						int			  =    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."""  )
							_SCREAMING_SNAKE_CASE		:						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."""  )

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

							return test_module_path



def      lowerCamelCase_(__SCREAMING_SNAKE_CASE  )->    Optional[int]:
							_SCREAMING_SNAKE_CASE		:						str			  =    get_module_path(__SCREAMING_SNAKE_CASE  )
							_SCREAMING_SNAKE_CASE		:						Union[str, Any]			  =    importlib.import_module(__SCREAMING_SNAKE_CASE  )

							return test_module



def      lowerCamelCase_(__SCREAMING_SNAKE_CASE  )->    Optional[Any]:
							_SCREAMING_SNAKE_CASE		:						List[str]			  =    []
							_SCREAMING_SNAKE_CASE		:						List[str]			  =    get_test_module(__SCREAMING_SNAKE_CASE  )
							for attr in dir(__SCREAMING_SNAKE_CASE  ):
														if attr.endswith("""ModelTester"""  ):
																					tester_classes.append(getattr(__SCREAMING_SNAKE_CASE     ,	__SCREAMING_SNAKE_CASE  )  )

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



def      lowerCamelCase_(__SCREAMING_SNAKE_CASE  )->    Union[str, Any]:
							_SCREAMING_SNAKE_CASE		:						Dict			  =    []
							_SCREAMING_SNAKE_CASE		:						List[Any]			  =    get_test_module(__SCREAMING_SNAKE_CASE  )
							for attr in dir(__SCREAMING_SNAKE_CASE  ):
														_SCREAMING_SNAKE_CASE		:						Dict			  =    getattr(__SCREAMING_SNAKE_CASE     ,	__SCREAMING_SNAKE_CASE  )
														# (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).
														_SCREAMING_SNAKE_CASE		:						Union[str, Any]			  =    getattr(__SCREAMING_SNAKE_CASE     ,	"""all_model_classes"""     ,	[]  )
														if len(__SCREAMING_SNAKE_CASE  ) > 0:
																					test_classes.append(__SCREAMING_SNAKE_CASE  )

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



def      lowerCamelCase_(__SCREAMING_SNAKE_CASE  )->    Optional[Any]:
							_SCREAMING_SNAKE_CASE		:						str			  =    get_test_classes(__SCREAMING_SNAKE_CASE  )
							_SCREAMING_SNAKE_CASE		:						Any			  =    set()
							for test_class in test_classes:
														model_classes.update(test_class.all_model_classes  )

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



def      lowerCamelCase_(__SCREAMING_SNAKE_CASE  )->    Union[str, Any]:
							_SCREAMING_SNAKE_CASE		:						int			  =    test_class()
							if hasattr(__SCREAMING_SNAKE_CASE     ,	"""setUp"""  ):
														test.setUp()

							_SCREAMING_SNAKE_CASE		:						List[str]			  =    None
							if hasattr(__SCREAMING_SNAKE_CASE     ,	"""model_tester"""  ):
														# `(TF/Flax)ModelTesterMixin` has this attribute default to `None`. Let's skip this case.
														if test.model_tester is not None:
																					_SCREAMING_SNAKE_CASE		:						Optional[int]			  =    test.model_tester.__class__

							return model_tester



def      lowerCamelCase_(__SCREAMING_SNAKE_CASE     ,	__SCREAMING_SNAKE_CASE  )->    Tuple:
							_SCREAMING_SNAKE_CASE		:						Union[str, Any]			  =    get_test_classes(__SCREAMING_SNAKE_CASE  )

							_SCREAMING_SNAKE_CASE		:						Optional[int]			  =    []
							for test_class in test_classes:
														if model_class in test_class.all_model_classes:
																					target_test_classes.append(__SCREAMING_SNAKE_CASE  )

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



def      lowerCamelCase_(__SCREAMING_SNAKE_CASE     ,	__SCREAMING_SNAKE_CASE  )->    Tuple:
							_SCREAMING_SNAKE_CASE		:						int			  =    get_test_classes_for_model(__SCREAMING_SNAKE_CASE     ,	__SCREAMING_SNAKE_CASE  )

							_SCREAMING_SNAKE_CASE		:						Union[str, Any]			  =    []
							for test_class in test_classes:
														_SCREAMING_SNAKE_CASE		:						str			  =    get_model_tester_from_test_class(__SCREAMING_SNAKE_CASE  )
														if tester_class is not None:
																					tester_classes.append(__SCREAMING_SNAKE_CASE  )

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



def      lowerCamelCase_(__SCREAMING_SNAKE_CASE  )->    Dict:
							_SCREAMING_SNAKE_CASE		:						Optional[int]			  =    get_test_classes(__SCREAMING_SNAKE_CASE  )
							_SCREAMING_SNAKE_CASE		:						Any			  =    {test_class: get_model_tester_from_test_class(__SCREAMING_SNAKE_CASE  ) for test_class in test_classes}
							return test_tester_mapping



def      lowerCamelCase_(__SCREAMING_SNAKE_CASE  )->    Any:
							_SCREAMING_SNAKE_CASE		:						List[Any]			  =    get_model_classes(__SCREAMING_SNAKE_CASE  )
							_SCREAMING_SNAKE_CASE		:						Tuple			  =    {
							    model_class: get_test_classes_for_model(__SCREAMING_SNAKE_CASE     ,	__SCREAMING_SNAKE_CASE  ) for model_class in model_classes
							}
							return model_test_mapping



def      lowerCamelCase_(__SCREAMING_SNAKE_CASE  )->    Any:
							_SCREAMING_SNAKE_CASE		:						List[str]			  =    get_model_classes(__SCREAMING_SNAKE_CASE  )
							_SCREAMING_SNAKE_CASE		:						Union[str, Any]			  =    {
							    model_class: get_tester_classes_for_model(__SCREAMING_SNAKE_CASE     ,	__SCREAMING_SNAKE_CASE  ) for model_class in model_classes
							}
							return model_to_tester_mapping



def      lowerCamelCase_(__SCREAMING_SNAKE_CASE  )->    Optional[int]:
							if isinstance(__SCREAMING_SNAKE_CASE     ,	__SCREAMING_SNAKE_CASE  ):
														return o
							elif isinstance(__SCREAMING_SNAKE_CASE     ,	__SCREAMING_SNAKE_CASE  ):
														return o.__name__
							elif isinstance(__SCREAMING_SNAKE_CASE     ,	(list, tuple)  ):
														return [to_json(__SCREAMING_SNAKE_CASE  ) for x in o]
							elif isinstance(__SCREAMING_SNAKE_CASE     ,	__SCREAMING_SNAKE_CASE  ):
														return {to_json(__SCREAMING_SNAKE_CASE  ): to_json(__SCREAMING_SNAKE_CASE  ) for k, v in o.items()}
							else:
														return o



"""simple docstring"""





from typing import Any

import numpy as np



def      lowerCamelCase_(__SCREAMING_SNAKE_CASE  )->    bool:
							return np.array_equal(__SCREAMING_SNAKE_CASE     ,	matrix.conjugate().T  )



def      lowerCamelCase_(__SCREAMING_SNAKE_CASE     ,	__SCREAMING_SNAKE_CASE  )->    Any:
							_SCREAMING_SNAKE_CASE		:						Optional[int]			  =    v.conjugate().T
							_SCREAMING_SNAKE_CASE		:						Optional[int]			  =    v_star.dot(__SCREAMING_SNAKE_CASE  )
							assert isinstance(__SCREAMING_SNAKE_CASE     ,	np.ndarray  )
							return (v_star_dot.dot(__SCREAMING_SNAKE_CASE  )) / (v_star.dot(__SCREAMING_SNAKE_CASE  ))



def      lowerCamelCase_()->    None:
							_SCREAMING_SNAKE_CASE		:						Optional[Any]			  =    np.array([[2, 2 + 1j, 4], [2 - 1j, 3, 1j], [4, -1j, 1]]  )
							_SCREAMING_SNAKE_CASE		:						int			  =    np.array([[1], [2], [3]]  )
							assert is_hermitian(__SCREAMING_SNAKE_CASE  ), F"""{a} is not hermitian."""
							print(rayleigh_quotient(__SCREAMING_SNAKE_CASE     ,	__SCREAMING_SNAKE_CASE  )  )

							_SCREAMING_SNAKE_CASE		:						int			  =    np.array([[1, 2, 4], [2, 3, -1], [4, -1, 1]]  )
							assert is_hermitian(__SCREAMING_SNAKE_CASE  ), F"""{a} is not hermitian."""
							assert rayleigh_quotient(__SCREAMING_SNAKE_CASE     ,	__SCREAMING_SNAKE_CASE  ) == float(3  )


if __name__ == "__main__":
			import doctest

			doctest.testmod()
			tests()


