



'''simple docstring'''




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


def        lowerCAmelCase_     (			_lowerCamelCase:     str ,   _lowerCamelCase:     complex ,   _lowerCamelCase:     str = "x" ,   _lowerCamelCase:     float = 10**-10 ,   _lowerCamelCase:     int = 1 ,   ):
		__SCREAMING_SNAKE_CASE :	int					 =	symbols(_lowerCamelCase      )
		__SCREAMING_SNAKE_CASE :	Tuple					 =	lambdify(_lowerCamelCase ,   _lowerCamelCase      )
		__SCREAMING_SNAKE_CASE :	Optional[int]					 =	lambdify(_lowerCamelCase ,   diff(_lowerCamelCase ,   _lowerCamelCase      )      )

		__SCREAMING_SNAKE_CASE :	Optional[int]					 =	starting_point

		while True:
				if diff_function(_lowerCamelCase      ) != 0:
						__SCREAMING_SNAKE_CASE :	Optional[int]					 =	prev_guess - multiplicity * func(_lowerCamelCase      ) / diff_function(
						    _lowerCamelCase      )
				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

				__SCREAMING_SNAKE_CASE :	str					 =	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=0.0_0_5)}",
						)

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




'''simple docstring'''




from ..utils import DummyObject, requires_backends






class 		_UpperCamelCase						(							metaclass=lowerCamelCase__					):


			'''simple docstring'''

			_A   :	Optional[int]    					=	['''onnx''']

			def __init__(							self  :				List[str]							,  *lowerCAmelCase__  :				Optional[int]							,  **lowerCAmelCase__  :				List[Any]		):





					"""simple docstring"""






					requires_backends(self							,  ["""onnx"""]		)

			@classmethod
			def UpperCamelCase__      (							cls  :				Optional[int]							,  *lowerCAmelCase__  :				int							,  **lowerCAmelCase__  :				int		):





					"""simple docstring"""






					requires_backends(cls							,  ["""onnx"""]		)



			@classmethod
			def UpperCamelCase__      (							cls  :				Tuple							,  *lowerCAmelCase__  :				List[str]							,  **lowerCAmelCase__  :				Optional[Any]		):





					"""simple docstring"""






					requires_backends(cls							,  ["""onnx"""]		)