1.29
secje
posted @ 2010年7月06日 03:49
in sicp
, 1426 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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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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