Circular buffers are based on an algorithm well known by any developer who’s got past the “Hello world!” days. They offer a number of key characteristics with wide applicability such as constant and efficient memory use, efficient FIFO semantics, etc.
One feature which is not always desired, though, it the fact that circular buffers traditionally will either overwrite the last element, or raise an overflow error, since they are generally implemented as a buffer of constant size. This is an unwanted property when one is attempting to consume items from the buffer and it is not an option to blindly drop items, for instance.
This post presents an efficient (and potentially novel) algorithm for implementing circular buffers which preserves most of the key aspects of the traditional version, while also supporting dynamic expansion when the buffer would otherwise have its oldest entry overwritten. It’s not clear if the described approach is novel or not (most of my novel ideas seem to have been written down 40 years ago), so I’ll publish it below and let you decide.