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Comments (2)

dkochmanski avatar dkochmanski commented on June 11, 2024 1

the first version is recursive going bottom->top, the second version is memoized. both handle arbitrary n (memoized version is limited by the stack limit (n) and the array size limit).

(defun fib (n)
  (labels ((fib* (xno x-2 x-1)
             (if (= xno n)
                 (+ x-2 x-1)
                 (fib* (1+ xno) x-1 (+ x-1 x-2)))))
    (if (<= n 1)
        n
        (fib* 2 0 1))))

(defun fib-memoized (n)
  (let ((memo (make-array (1+ n) :initial-element nil)))
    (labels ((memofib (n)
               (or (aref memo n)
                   (setf (aref memo n)
                         (if (<= n 1)
                             n
                             (+ (memofib (- n 1))
                                (memofib (- n 2))))))))
      (memofib n))))

from fib.

francogrex avatar francogrex commented on June 11, 2024 1

dkochmanski commented Jul 19, 2021, is the correct code, fastest again. My contribution above is not the right mathematical fib function and as issues #37 explained, it is rather a code copied from the readme file which does not specify the correct code, because this: (return 1 if n <= 1) ... is not a good specification, because fib of 46 is not 2971215073

from fib.

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