






'''simple docstring'''





_a    :   Tuple        =			"""Alexander Joslin"""

import operator as op

from .stack import Stack


def 				snake_case__							(							UpperCAmelCase							:  Optional[int]       ):
    lowerCAmelCase__   :str      							=				{"*": op.mul, "/": op.truediv, "+": op.add, "-": op.sub}

    lowerCAmelCase__   :Dict      							=				Stack()
    lowerCAmelCase__   :str      							=				Stack()

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

            lowerCAmelCase__   :Any      							=				operators[opr](a__    ,			a__       )
            operand_stack.push(a__       )

        # RULE 5
    return operand_stack.peek()


if __name__ == "__main__":
 _a    :   Optional[Any]        =			"""(5 + ((4 * 2) * (2 + 3)))"""
 # answer = 45
 print(f"""{equation} = {dijkstras_two_stack_algorithm(equation)}""")











from __future__ import annotations

import math
from collections.abc import Callable


def 				snake_case__							(							UpperCAmelCase							:  Callable[[int | float], int | float]    ,			UpperCAmelCase							:  int | float    ,			UpperCAmelCase							:  int | float    ,			UpperCAmelCase							:  int = 1_0_0    ,			):
    lowerCAmelCase__   :int      							=				x_start
    lowerCAmelCase__   :int      							=				fnc(UpperCAmelCase       )
    lowerCAmelCase__   :List[Any]      							=				0.0

    for _ in range(UpperCAmelCase       ):
        # Approximates curve as a sequence of linear lines and sums their length
        lowerCAmelCase__   :Dict      							=				(x_end - x_start) / steps + xa
        lowerCAmelCase__   :Optional[Any]      							=				fnc(UpperCAmelCase       )
        length += math.hypot(xa - xa    ,			fxa - fxa       )

        # Increment step
        lowerCAmelCase__   :Union[str, Any]      							=				xa
        lowerCAmelCase__   :str      							=				fxa

    return length


if __name__ == "__main__":


 def 				snake_case__							(							UpperCAmelCase							:  int       ):
     return math.sin(1_0 * x       )

 print("""f(x) = sin(10 * x)""")
 print("""The length of the curve from x = -10 to x = 10 is:""")
 _a    :   Any        =			10
 while i <= 10_0000:
  print(f"""With {i} steps: {line_length(f, -10, 10, i)}""")
  i *= 10



