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4.3.9 Pi

(define (pi n  . args)
      (let* ((d (car args))
             (r (do ((s 1 (* 10 s))
                     (i 0 (+ 1 i)))
                    ((>= i d) s)))
             (n (+ (quotient n d) 1))
             (m (quotient (* n d 3322) 1000))
             (a (make-vector (+ 1 m) 2)))
        (vector-set! a m 4)
        (do ((j 1 (+ 1 j))
             (q 0 0)
             (b 2 (remainder q r)))
            ((> j n))
          (do ((k m (- k 1)))
              ((zero? k))
            (set! q (+ q (* (vector-ref a k) r)))
            (let ((t (+ 1 (* 2 k))))
              (vector-set! a k (remainder q t))
              (set! q (* k (quotient q t)))))
          (let ((s (number->string (+ b (quotient q r)))))
            (do ((l (string-length s) (+ 1 l)))
                ((>= l d) (display s))
              (display #\0)))
          (if (zero? (modulo j 10)) (newline) (display #\space)))
        (newline)))