






"""simple docstring"""





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







def   lowerCAmelCase_( SCREAMING_SNAKE_CASE ,	SCREAMING_SNAKE_CASE ,	SCREAMING_SNAKE_CASE = "x" ,	SCREAMING_SNAKE_CASE = 10**-10 ,	SCREAMING_SNAKE_CASE = 1 ,	)					->	Union[str, Any]:
    """simple docstring"""

    UpperCamelCase__         =    symbols(_SCREAMING_SNAKE_CASE					)
    UpperCamelCase__         =    lambdify(_SCREAMING_SNAKE_CASE ,	_SCREAMING_SNAKE_CASE					)
    UpperCamelCase__         =    lambdify(_SCREAMING_SNAKE_CASE ,	diff(_SCREAMING_SNAKE_CASE ,	_SCREAMING_SNAKE_CASE					)					)

    UpperCamelCase__         =    starting_point

    while True:
        if diff_function(_SCREAMING_SNAKE_CASE					) != 0:
            UpperCamelCase__         =    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

        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_0_5)}""",
  )

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












"""simple docstring"""





A__					: Tuple=	"""Alexander Joslin"""

import operator as op

from .stack import Stack







def   lowerCAmelCase_( SCREAMING_SNAKE_CASE					)					->	int:
    """simple docstring"""

    UpperCamelCase__         =    {'*': op.mul, '/': op.truediv, '+': op.add, '-': op.sub}

    UpperCamelCase__         =    Stack()
    UpperCamelCase__         =    Stack()

    for i in equation:
        if i.isdigit():
            # RULE 1
            operand_stack.push(int(SCREAMING_SNAKE_CASE					)					)
        elif i in operators:
            # RULE 2
            operator_stack.push(SCREAMING_SNAKE_CASE					)
        elif i == ")":
            # RULE 4
            UpperCamelCase__         =    operator_stack.peek()
            operator_stack.pop()
            UpperCamelCase__         =    operand_stack.peek()
            operand_stack.pop()
            UpperCamelCase__         =    operand_stack.peek()
            operand_stack.pop()

            UpperCamelCase__         =    operators[opr](SCREAMING_SNAKE_CASE ,	SCREAMING_SNAKE_CASE					)
            operand_stack.push(SCREAMING_SNAKE_CASE					)

    # RULE 5
    return operand_stack.peek()


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




