from enum import Enum


class TimedPhaseEnum(Enum):
    """ Enum that can represent states, cycled through by calling the next() method"""

    def __new__(cls, identifier, timing: float = 0.0):
        # Create a new instance with a unique identifier as its value
        obj = object.__new__(cls)
        obj._value_ = identifier  # The unique value
        obj.timing = timing  # Additional attribute for timing
        return obj

    def next(self):
        members = list(self.__class__)
        index = members.index(self)
        return members[(index + 1) % len(members)]


if __name__ == '__main__':
    class MyEnum(TimedPhaseEnum):
        IDLE = ("IDLE", float('inf'))
        STEP_1 = ("Step 1", 1.0)
        STEP_2 = ("Step 2", 5.0)
        STEP_3 = ("Step 3", 4.0)
        STEP_4 = ("Step 4", 5.0)
        STEP_5 = ("Step 5", 5.0)
        DONE = ("DONE", 0.0)

    curr_step = MyEnum.IDLE
    for _ in range(len(MyEnum)):
        print(f"{curr_step} (timing = {curr_step.timing})")
        curr_step = curr_step.next()