SICP 练习1.19

经过推导

p′=p2+q2

q′=2pq+q2

(define (fib n)
(fib-iter 1 0 0 1 n))

(define (fib-iter a b p q count)
(cond ((= count 0) b)
((even? count)
(fib-iter a
b
(+ (* q q) (* p p))
(+ (* 2 p q) (* q q))
(/ count 2)))
(else (fib-iter (+ (* b q) (* a q) (* a p))
(+ (* b p) (* a q))
p
q
(- count 1)))))

(fib 10)