Computing Fibonacci numbers is a classic example of recursive processing. As I mentioned previously *1, the logic inherently creates numerous redundant calculations. There are 2 typical approaches to efficiently handle these redundancies:
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The former works universally but is memory-inefficient due to caching. The latter depends not only on how the logic is written but also on the interpreter and compiler, so it's not universally applicable. However, it can provide better performance.
This is a common topic in programming languages, but specifically for F#, I couldn't find posts discussing memoization of the Fibonacci calculation itself. Most posts only mention general methods for memoizing functions.
In this post, I've summarized 3 approaches to calculating the nth Fibonacci number: standard recursion, memoized recursion, and tail recursion.
- Standard Recursion
- Memoized Recursion
- Tail Recursion
- Performance Comparison
- Code
- References
