[Sorting Algorithm] Tail Recursion Optimization – Avoiding Stack Overflow

尾遞迴優化
Introduction

Tail recursion is a special form of recursion where the recursive call is the last action of the function. In tail recursion, the result of the recursive call is returned directly, without performing additional calculations at each level of recursion. This allows the compiler or interpreter to easily implement recursion as a loop, thereby reducing the depth of the call stack and avoiding stack overflow.

Practical Example

Here’s a clear example I’ve found for you from “The C Language You Don’t Know: Recursion Calls.”. The example clearly compares the difference in assembly language before and after tail recursion optimization.

Before tail recursion optimization: Uses the callq function call, generating a new stack frame.

After tail recursion optimization: Uses jne to jump to the beginning of the loop, not generating a new stack frame, thus completing tail recursion optimization.

Reflection

In situations where direct control is possible, especially in imperative programming languages like C, using loops to replace tail recursion is indeed a choice with more predictable performance and generally more efficiency. This not only avoids relying on the compiler for specific optimizations but also provides clearer performance characteristics and better readability (for developers who may not be as familiar with recursion or functional programming patterns).

In summary, if an algorithm or computation can be naturally expressed as a loop, and there’s no specific reason to use recursion (such as algorithm semantics, readability considerations, or language features), then using loops is often the better choice. This approach directly leverages the performance advantages of loops without depending on the compiler’s tail recursion optimization.