1.31
secje
posted @ 2010年7月09日 06:24
in sicp
, 1508 阅读
(define (product term a next b)
(if (> a b)
1
(* (term a)
(product term (next a) next b))))
(define (inc n) (+ n 1))
(define (indentity x) x)
(define (factoral n)
(product indentity 1 inc n))
(define (pi-up n)
(cond ((= n 1) 2)
((even? n) (+ n 2))
(else (+ n 1))))
(define (pi-down n)
(cond ((even? n ) (+ n 1))
(else (+ n 2))))
(define (sequare x) (* x x))
(define (get-pi n)
(* 1.0 (/ (product pi-up 1 inc n)
(product pi-down 1 inc n))))
(define (pi-all n)
(cond ((= n 1) (/ 2 3))
((even? n) (/ (+ n 2) (+ n 1)))
(else (/ (+ n 1) (+ n 2)))))
(define (fast-pi n)
(* 1.0 (product pi-all 1 inc n)))
(define (product term a next b result)
(if (> a b)
result
(product term (next a) next b (* result (term a)))))
(define (product term a next b)
(define (iter a result)
(iter (next a)
(* (term a) result)))
(iter a 1))
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