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(defvar x1)
(defvar x2)
(defvar x3)
(defvar y)
(defvar z)
(defun elementary-benchmark (N repeat)
(setq x1 (floor (+ (isqrt (* 5 (expt 10 (* 4 N)))) (expt 10 (* 2 N))) 2))
(setq x2 (isqrt (* 3 (expt 10 (* 2 N)))))
(setq x3 (+ (expt 10 N) 1))
(format t "~&~%N = ~D, Multiplication x1*x2, divide times by ~D~%" N repeat)
(dotimes (count 3)
(time
(dotimes (_ repeat)
(setq y (* x1 x2)))))
(format t "~&~%N = ~D, Division (with remainder) x1 / x2, divide times by ~D~%" N repeat)
(dotimes (count 3)
(time
(dotimes (_ repeat)
(multiple-value-setq (y z) (floor x1 x2)))))
(format t "~&~%N = ~D, integer_sqrt(x3), divide times by ~D~%" N repeat)
(dotimes (count 3)
(time
(dotimes (_ repeat)
(setq y (isqrt x3)))))
(format t "~&~%N = ~D, gcd(x1,x2), divide times by ~D~%" N repeat)
(dotimes (count 3)
(time
(dotimes (_ repeat)
(setq y (gcd x1 x2)))))
)
(defun pari-benchmark (N repeat)
(format t "~&~%N = ~D, pari-benchmark, divide times by ~D~%" N repeat)
(dotimes (count 3)
(time
(dotimes (_ repeat)
(let ((u 1) (v 1) (p 1) (q 1))
(do ((k 1 (1+ k)))
((> k N) (setq y p z q))
(let ((w (+ u v)))
(shiftf u v w)
(setq p (* p w))
(setq q (lcm q w)))))))))
(defun integer-benchmark ()
(elementary-benchmark 100 10000)
(elementary-benchmark 1000 1000)
(elementary-benchmark 10000 10)
(elementary-benchmark 100000 1)
(pari-benchmark 100 100)
(pari-benchmark 200 10)
(pari-benchmark 1000 1)
)