Python round minutes to the nearest quarter hour

round_minutes_to_quarter_hour.py

def round_to_nearest_quarter_hour(minutes, base=15):
    """
    Input: A value in minutes.
    Return: An integer rounded to the nearest quarter-hour (0, 15, 30, 45) based on the base interval,
    with special handling to ensure rounding from 0 up to 7 goes to 0 and 8 to 15 round to 15
    
    Example  round_to_nearest_quarter_hour(0) rounds to 0
             round_to_nearest_quarter_hour(7) rounds to 0
             round_to_nearest_quarter_hour(8) rounds to 15
             round_to_nearest_quarter_hour(22) rounds to 15
             round_to_nearest_quarter_hour(23) rounds to 30
    """
    # Calculate how far into the current quarter we are
    fraction = minutes % base
    if fraction == 0:
        return minutes  # Exactly on a quarter hour
    elif fraction < (base / 2):
        # If before the halfway point, round down
        rounded = minutes - fraction
    else:
        # If at or past the halfway point, round up
        rounded = minutes + (base - fraction)

    # Ensure the result is always within the hour range
    return int(rounded) % 60




def test_round_to_nearest_quarter_hour():
    # Test rounding down to the previous quarter
    assert round_to_nearest_quarter_hour(1) == 0, "Failed on rounding down to 0"
    assert round_to_nearest_quarter_hour(7) == 0, "Failed on rounding down to 0"
    assert round_to_nearest_quarter_hour(8) == 15, "Failed on rounding up to 15"
    
    # Test rounding up to the next quarter
    assert round_to_nearest_quarter_hour(16) == 15, "Failed on rounding down to 15"
    assert round_to_nearest_quarter_hour(22) == 15, "Failed on rounding down to 15"
    assert round_to_nearest_quarter_hour(23) == 30, "Failed on rounding up to 30"

    # Test on exact quarters
    assert round_to_nearest_quarter_hour(15) == 15, "Failed on exact 15"
    assert round_to_nearest_quarter_hour(30) == 30, "Failed on exact 30"
    assert round_to_nearest_quarter_hour(45) == 45, "Failed on exact 45"
    assert round_to_nearest_quarter_hour(52) == 45, "Failed on exact 45"

    # Test rounding across hour boundaries
    assert round_to_nearest_quarter_hour(53) == 0, "Failed on rounding up to 0"
    assert round_to_nearest_quarter_hour(59) == 0, "Failed on rounding up to 0"
    assert round_to_nearest_quarter_hour(0) == 0, "Failed on rounding up to 0"

    print("All tests passed.")
    
test_round_to_nearest_quarter_hour()

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/ operator needs to be replaced with // operator

Updated the function and included some tests.