




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







def 	_a      (						SCREAMING_SNAKE_CASE_							:				str      ,      SCREAMING_SNAKE_CASE_							:				complex      ,      SCREAMING_SNAKE_CASE_							:				str = "x"      ,      SCREAMING_SNAKE_CASE_							:				float = 10**-10      ,      SCREAMING_SNAKE_CASE_							:				int = 1      ,      ):
					__lowerCAmelCase				   =       symbols(SCREAMING_SNAKE_CASE_     )
					__lowerCAmelCase				   =       lambdify(SCREAMING_SNAKE_CASE_      ,      SCREAMING_SNAKE_CASE_     )
					__lowerCAmelCase				   =       lambdify(SCREAMING_SNAKE_CASE_      ,      diff(SCREAMING_SNAKE_CASE_      ,      SCREAMING_SNAKE_CASE_     )     )

					__lowerCAmelCase				   =       starting_point

					while True:
										if diff_function(SCREAMING_SNAKE_CASE_     ) != 0:
															__lowerCAmelCase				   =       prev_guess - multiplicity * func(SCREAMING_SNAKE_CASE_     ) / diff_function(
															    SCREAMING_SNAKE_CASE_     )
										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

										__lowerCAmelCase				   =       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)}''')










import pytest

from datasets import inspect_metric, list_metrics, load_metric







@pytest.fixture
def 	_a      (						SCREAMING_SNAKE_CASE_							:				Optional[Any]     ):
					monkeypatch.setattr("datasets.utils.deprecation_utils._emitted_deprecation_warnings"      ,      set()     )







@pytest.fixture
def 	_a      (						SCREAMING_SNAKE_CASE_							:				List[Any]     ):
					class 			a__    :






											def __init__(   self		,			_A			):




																"""simple docstring"""



																__lowerCAmelCase				   =       metric_id






					class 			a__    :
											_a							:    Optional[int]					=    [MetricMock(snake_case__      ) for metric_id in ["""accuracy""", """mse""", """precision""", """codeparrot/apps_metric"""]]






											def 				__SCREAMING_SNAKE_CASE(   self			):




																"""simple docstring"""



																return self._metrics






					monkeypatch.setattr("datasets.inspect.huggingface_hub"      ,      HfhMock()     )







@pytest.mark.parametrize(
    "func, args"      ,      [(load_metric, ("metrics/mse",)), (list_metrics, ()), (inspect_metric, ("metrics/mse", "tmp_path"))]     )
def 	_a      (						SCREAMING_SNAKE_CASE_							:				Tuple      ,      SCREAMING_SNAKE_CASE_							:				List[str]      ,      SCREAMING_SNAKE_CASE_							:				int      ,      SCREAMING_SNAKE_CASE_							:				Optional[int]      ,      SCREAMING_SNAKE_CASE_							:				Optional[int]     ):
					if "tmp_path" in args:
										__lowerCAmelCase				   =       tuple(arg if arg != "tmp_path" else tmp_path for arg in args     )
					with pytest.warns(SCREAMING_SNAKE_CASE_      ,      match="https://huggingface.co/docs/evaluate"     ):
										func(*SCREAMING_SNAKE_CASE_     )




