from collections import deque
from typing import Iterable
from icecream import ic

from math_objects import Operator, Token


def translate(tokens: Iterable[Token]) -> Iterable[Token]:
    operator_stack: deque[Operator] = deque()
    previous_precedence = 0
    for token in tokens:
        if not isinstance(token, Operator):
            yield token
            continue
        if token.precedence <= previous_precedence:
            for item in reversed(operator_stack):
                yield item
            operator_stack.clear()
        previous_precedence = token.precedence
        operator_stack.append(token)
    ic(len(operator_stack))
    if operator_stack:
        for item in reversed(operator_stack):
            yield item