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