Using reversed() to change the order

There are times when we need a sequence reversed. Python offers us two approaches to this: the reversed() function, and slices with reversed indices.

For example, consider performing a base conversion to hexadecimal or binary. The following code is a simple conversion function:

def digits(x: int, b: int) -> Iterator[int]:
    if x == 0: return
    yield x % b
    for d in digits(x//b, b):
        yield d  

This function uses a recursion to yield the digits from the least significant to the most significant. The value of x%b will be the least significant digits of x in the base b.

We can formalize it as follows:

In many cases, we'd prefer the digits to be yielded in the reverse order. We can wrap this function with the reversed() function to swap the order of the digits:

def to_base(x: int, b: int) -> Iterator[int]:
    return reversed(tuple(digits(x, b)))

We can do a similar kind of thing with a slice, such as tuple(digits(x, b))[::-1]. The slice, however, is not an iterator. A slice is a materialized object built from another materialized object. In this case, for such small collections of values, the distinction is minor. As the reversed() function uses less memory, it can be advantageous for larger collections.