# 1.29

**secje**posted @ 2010年7月06日 03:49 in sicp , 1510 阅读

(define (cube x) (* x x x)) (define (sum term a next b) (if (> a b) 0 (+ (term a) (sum term (next a) next b)))) (define (simpson f a b n) (define (get-h) (/ (- b a) n)) (define (get-y k) (f (+ a (* k (get-h))))) (define (simpson-term k) (cond ((or (= k 0) (= k n)) (get-y k)) ((even? k) (* 2.0 (get-y k))) (else (* 4.0 (get-y k))))) (define (simpson-next k) (+ k 1)) (* (sum simpson-term 0 simpson-next n) (/ (get-h) 3.0))) (define (integral f a b dx) (define (add-dx x) (+ x dx)) (* (sum f (+ a (/ dx 2.0)) add-dx b) dx)) (simpson cube 0 1 10000) (integral cube 0 1 0.0001)

输出

0.2500000000000011

0.24999999874993412

simpson更准确点

2022年8月27日 21:56

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2023年7月10日 07:19

The code snippet you shared demonstrates the implementation of Simpson's rule and integral approximation. seo services cochin It's great to see such mathematical concepts being applied. Simpson's method provides a more accurate result compared to the integral approximation. Keep

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