



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			(  _UpperCAmelCase       :     int					)       ->				str:







			'''simple docstring'''
			_UpperCAmelCase	 =     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	 =     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	 =     components[:-1] + [test_fn.replace('.py'							,     ''					)]
			_UpperCAmelCase	 =     '.'.join(_UpperCAmelCase					)

			return test_module_path





def 							A			(  _UpperCAmelCase       :     Optional[Any]					)       ->				List[str]:







			'''simple docstring'''
			_UpperCAmelCase	 =     get_module_path(_UpperCAmelCase					)
			_UpperCAmelCase	 =     importlib.import_module(_UpperCAmelCase					)

			return test_module





def 							A			(  _UpperCAmelCase       :     Dict					)       ->				List[Any]:







			'''simple docstring'''
			_UpperCAmelCase	 =     []
			_UpperCAmelCase	 =     get_test_module(_UpperCAmelCase					)
			for attr in dir(_UpperCAmelCase					):
						if attr.endswith('ModelTester'					):
									tester_classes.append(getattr(_UpperCAmelCase							,     _UpperCAmelCase					)					)

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





def 							A			(  _UpperCAmelCase       :     Optional[int]					)       ->				Any:







			'''simple docstring'''
			_UpperCAmelCase	 =     []
			_UpperCAmelCase	 =     get_test_module(_UpperCAmelCase					)
			for attr in dir(_UpperCAmelCase					):
						_UpperCAmelCase	 =     getattr(_UpperCAmelCase							,     _UpperCAmelCase					)
						# (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	 =     getattr(_UpperCAmelCase							,     'all_model_classes'							,     []					)
						if len(_UpperCAmelCase					) > 0:
									test_classes.append(_UpperCAmelCase					)

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





def 							A			(  _UpperCAmelCase       :     int					)       ->				str:







			'''simple docstring'''
			_UpperCAmelCase	 =     get_test_classes(_UpperCAmelCase					)
			_UpperCAmelCase	 =     set()
			for test_class in test_classes:
						model_classes.update(test_class.all_model_classes					)

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





def 							A			(  _UpperCAmelCase       :     Dict					)       ->				str:







			'''simple docstring'''
			_UpperCAmelCase	 =     test_class()
			if hasattr(_UpperCAmelCase							,     'setUp'					):
						test.setUp()

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

			return model_tester





def 							A			(  _UpperCAmelCase       :     Any							,     _UpperCAmelCase       :     int					)       ->				Optional[int]:







			'''simple docstring'''
			_UpperCAmelCase	 =     get_test_classes(_UpperCAmelCase					)

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

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





def 							A			(  _UpperCAmelCase       :     str							,     _UpperCAmelCase       :     Dict					)       ->				Optional[int]:







			'''simple docstring'''
			_UpperCAmelCase	 =     get_test_classes_for_model(_UpperCAmelCase							,     _UpperCAmelCase					)

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

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





def 							A			(  _UpperCAmelCase       :     Optional[Any]					)       ->				List[Any]:







			'''simple docstring'''
			_UpperCAmelCase	 =     get_test_classes(_UpperCAmelCase					)
			_UpperCAmelCase	 =     {test_class: get_model_tester_from_test_class(_UpperCAmelCase					) for test_class in test_classes}
			return test_tester_mapping





def 							A			(  _UpperCAmelCase       :     Any					)       ->				Tuple:







			'''simple docstring'''
			_UpperCAmelCase	 =     get_model_classes(_UpperCAmelCase					)
			_UpperCAmelCase	 =     {
			    model_class: get_test_classes_for_model(_UpperCAmelCase							,     _UpperCAmelCase					) for model_class in model_classes
			}
			return model_test_mapping





def 							A			(  _UpperCAmelCase       :     int					)       ->				int:







			'''simple docstring'''
			_UpperCAmelCase	 =     get_model_classes(_UpperCAmelCase					)
			_UpperCAmelCase	 =     {
			    model_class: get_tester_classes_for_model(_UpperCAmelCase							,     _UpperCAmelCase					) for model_class in model_classes
			}
			return model_to_tester_mapping





def 							A			(  _UpperCAmelCase       :     List[Any]					)       ->				List[Any]:







			'''simple docstring'''


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





from sympy import diff, lambdify, symbols
from sympy.functions import *  # noqa: F403





def 							A			(  _UpperCAmelCase       :     str							,     _UpperCAmelCase       :     complex							,     _UpperCAmelCase       :     str = "x"							,     _UpperCAmelCase       :     float = 10**-10							,     _UpperCAmelCase       :     int = 1							,     )       ->				complex:







			'''simple docstring'''
			_UpperCAmelCase	 =     symbols(_UpperCAmelCase					)
			_UpperCAmelCase	 =     lambdify(_UpperCAmelCase							,     _UpperCAmelCase					)
			_UpperCAmelCase	 =     lambdify(_UpperCAmelCase							,     diff(_UpperCAmelCase							,     _UpperCAmelCase					)					)

			_UpperCAmelCase	 =     starting_point

			while True:
						if diff_function(_UpperCAmelCase					) != 0:
									_UpperCAmelCase	 =     prev_guess - multiplicity * func(_UpperCAmelCase					) / diff_function(
									    _UpperCAmelCase					)
						else:
									raise ZeroDivisionError('Could not find root'					) from None

						# Precision is checked by comparing the difference of consecutive guesses
						if abs(next_guess - prev_guess					) < precision:
									return next_guess

						_UpperCAmelCase	 =     next_guess


# Let's Execute
if __name__ == "__main__":
							# Find root of trigonometric function
							# Find value of pi
							print(f"""The root of sin(x) = 0 is {newton_raphson("sin(x)", 2)}""")

							# Find root of polynomial
							# Find fourth Root of 5
							print(f"""The root of x**4 - 5 = 0 is {newton_raphson("x**4 -5", 0.4 +5J)}""")

							# Find value of e
							print(
							    "The root of log(y) - 1 = 0 is ",
							    f"""{newton_raphson("log(y) - 1", 2, variable="y")}""",
							)

							# Exponential Roots
							print(
							    "The root of exp(x) - 1 = 0 is",
							    f"""{newton_raphson("exp(x) - 1", 10, precision=0.005)}""",
							)

							# Find root of cos(x)
							print(f"""The root of cos(x) = 0 is {newton_raphson("cos(x)", 0)}""")
