from typing import Tuple


def depth_range2depth_inv_range(depth_range: Tuple[float, float]) -> Tuple[float, float]:
    """It converts a depth range into the inverse depth range.

    Args:
        depth_range: 2-tuple specifying the depth range.

    Returns:
        The inverse depth range 2-tuple.
    """

    assert depth_range[0] <= depth_range[1], 'The input depth range is empty.'

    assert depth_range[0] > 0 and depth_range[1] < float('inf'), 'The input depth range must belong to ]0, 1[.'

    return 1.0 / depth_range[1], 1.0 / depth_range[0]