
class        lowerCAmelCase__      :

						def __init__(			self       ,							a				)					->      List[Any]:


								'''simple docstring'''

								_UpperCamelCase						    =	n
								_UpperCamelCase						    =	[None] * self.n
								_UpperCamelCase						    =	0  # index of the first element
								_UpperCamelCase						    =	0
								_UpperCamelCase						    =	0

						def __len__(			self				)					->      int:


								'''simple docstring'''

								return self.size

						def  A_				(			self				)					->      bool:


								'''simple docstring'''

								return self.size == 0

						def  A_				(			self				)					->      str:


								'''simple docstring'''

								return False if self.is_empty() else self.array[self.front]

						def  A_				(			self       ,							a				)					->      Union[str, Any]:


								'''simple docstring'''

								if self.size >= self.n:
										raise Exception("""QUEUE IS FULL"""				)

								_UpperCamelCase						    =	data
								_UpperCamelCase						    =	(self.rear + 1) % self.n
								self.size += 1
								return self







						def  A_				(			self				)					->      List[str]:


								'''simple docstring'''

								if self.size == 0:
										raise Exception("""UNDERFLOW"""				)

								_UpperCamelCase						    =	self.array[self.front]
								_UpperCamelCase						    =	None
								_UpperCamelCase						    =	(self.front + 1) % self.n
								self.size -= 1
								return temp







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


def 							__A(lowerCAmelCase						,  lowerCAmelCase						,  lowerCAmelCase = "x"						,  lowerCAmelCase = 1_0**-1_0						,  lowerCAmelCase = 1						,  )		->				complex:

		"""simple docstring"""






		_UpperCamelCase						    =	symbols(lowerCAmelCase )
		_UpperCamelCase						    =	lambdify(lowerCAmelCase						,  lowerCAmelCase )
		_UpperCamelCase						    =	lambdify(lowerCAmelCase						,  diff(lowerCAmelCase						,  lowerCAmelCase ) )

		_UpperCamelCase						    =	starting_point

		while True:
				if diff_function(lowerCAmelCase ) != 0:
						_UpperCamelCase						    =	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

				_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=0.0_05)}""",
		)

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



