It's not so simple in real life. I use this style of error-handling for only one type of project: a library with unknown users. In that case, as I can't make assumptions about the existence of better error handling systems, it gives the most flexible result. But at a price, I know have to document the error codes, and I had damned well better also provide APIs that allow my client to meaningfully recover from the error.

In most I have worked on, this type of error handling is completely inadequate. Think multithreaded applications. The code that needs to handle the error your code just generated isn't in the call stack. This happens very often in my experience, and I have found that the best solution is to post some kind of notification message rather than returning an error code. This creates a dependency on the notification system though, so it's not always the correct solution.

The thing that I dislike the most in your example was when you propagated the error from function a out of function b. my most robust code mostly uses void functions. Error codes are only used in cases where the user can actually do some meaningful action in response to the error, and feNkly this is rarely the case. Instead I try as much as possible to correctly handle errors without propagation. It frees up the user of my APIs from having to worry about errors, and in my opinion thus should be a design goal of any API.