






"""simple docstring"""
_lowerCAmelCase       =				"Alexander Joslin"

import operator as op

from .stack import Stack






def       __UpperCamelCase						(		snake_case__       ):
	A_		:    Dict						     = {"""*""": op.mul, """/""": op.truediv, """+""": op.add, """-""": op.sub}

	A_		:    Stack[int]						     = Stack()
	A_		:    Stack[str]						     = Stack()

	for i in equation:
		if i.isdigit():
			# RULE 1
			operand_stack.push(int(snake_case__       )       )
		elif i in operators:
			# RULE 2
			operator_stack.push(snake_case__       )
		elif i == ")":
			# RULE 4
			A_		:    Optional[Any]						     = operator_stack.peek()
			operator_stack.pop()
			A_		:    int						     = operand_stack.peek()
			operand_stack.pop()
			A_		:    List[str]						     = operand_stack.peek()
			operand_stack.pop()

			A_		:    str						     = operators[opr](snake_case__ , snake_case__       )
			operand_stack.push(snake_case__       )

    # RULE 5
	return operand_stack.peek()


if __name__ == "__main__":
							_lowerCAmelCase       =				"(5 + ((4 * 2) * (2 + 3)))"
							# answer = 45
							print(F'{equation} = {dijkstras_two_stack_algorithm(equation)}')









"""simple docstring"""
from __future__ import annotations

from decimal import Decimal
from math import *  # noqa: F403

from sympy import diff






def       __UpperCamelCase						(		snake_case__ , snake_case__ , snake_case__ = 10**-10       ):
	A_		:    Tuple						     = a
	while True:
		A_		:    List[str]						     = Decimal(snake_case__       ) - (
		    Decimal(eval(snake_case__       )       ) / Decimal(eval(str(diff(snake_case__       )       )       )       )  # noqa: S307
		)
		# This number dictates the accuracy of the answer
		if abs(eval(snake_case__       )       ) < precision:  # noqa: S307
			return float(snake_case__       )


# 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
							print(F'The root of x**2 - 5*x + 2 = 0 is {newton_raphson("x**2 - 5*x + 2", 0.4)}')
							# Find Square Root of 5
							print(F'The root of log(x) - 1 = 0 is {newton_raphson("log(x) - 1", 2)}')
							# Exponential Roots
							print(F'The root of exp(x) - 1 = 0 is {newton_raphson("exp(x) - 1", 0)}')

