Another update from ingydotnet^djgoku

This commit is contained in:
Ingy döt Net 2015-11-18 06:14:39 +00:00
parent 91df62d461
commit 948b86eafa
7604 changed files with 108452 additions and 22726 deletions

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@ -1,19 +1,10 @@
;;; Fibonacci numbers using Edsger Dijkstra's algorithm
;;; http://www.cs.utexas.edu/users/EWD/ewd06xx/EWD654.PDF
(define (fib)
(define (nxt lv nv) (cons nv (lambda () (nxt nv (+ lv nv)))))
(cons 0 (lambda () (nxt 0 1))))
(define (fib n)
(define (fib-aux a b p q count)
(cond ((= count 0) b)
((even? count)
(fib-aux a
b
(+ (* p p) (* q q))
(+ (* q q) (* 2 p q))
(/ count 2)))
(else
(fib-aux (+ (* b q) (* a q) (* a p))
(+ (* b p) (* a q))
p
q
(- count 1)))))
(fib-aux 1 0 0 1 n))
;;; test...
(define (show-stream-take n strm)
(define (shw-nxt n strm) (begin (display (car strm))
(if (> n 1) (begin (display " ") (shw-nxt (- n 1) ((cdr strm)))) (display ")"))))
(begin (display "(") (shw-nxt n strm)))
(show-stream-take 30 (fib))

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@ -0,0 +1,19 @@
;;; Fibonacci numbers using Edsger Dijkstra's algorithm
;;; http://www.cs.utexas.edu/users/EWD/ewd06xx/EWD654.PDF
(define (fib n)
(define (fib-aux a b p q count)
(cond ((= count 0) b)
((even? count)
(fib-aux a
b
(+ (* p p) (* q q))
(+ (* q q) (* 2 p q))
(/ count 2)))
(else
(fib-aux (+ (* b q) (* a q) (* a p))
(+ (* b p) (* a q))
p
q
(- count 1)))))
(fib-aux 1 0 0 1 n))