def METHOD_NAME(a: ColumnOrName, b: ColumnOrName) -> Column:
    """Check whether two geometries have identical vertices that are in the same order.
    :param a: One geometry column to check.
    :type a: ColumnOrName
    :param b: Other geometry column to check.
    :type b: ColumnOrName
    :return: True if a and b are equal and False otherwise, as a boolean column.
    :rtype: Column
    """
    return _call_predicate_function("ST_OrderingEquals", (a, b))