Posted on 2007-05-08 17:08
dennis 閱讀(1068)
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計算機科學與基礎
綜合了習題1.6提出的誤差過大問題，采用相對誤差進行求值，題目是要求使用牛頓近似求立方根公式寫出scheme過程：
(define (square x) (* x x))
(define (divided_by_3 x y)(/ (+ x y) 3))
(define (improve guess x)
(divided_by_3 (/ x (square guess)) (* 2 guess)))
(define constant 0.0001)
(define (good_enough? old_guess guess)
(< (abs (/ (- guess old_guess) guess)) constant))
(define (curt old_guess guess x)
(if (good_enough? old_guess guess)
guess
(curt guess (improve guess x) x)))
(define (simple_curt x)(curt 0.1 1 x))
測試一下：
> (simple_curt 27)
3.0000000000000975834575646
> (simple_curt 8)
2.0000000000120622386311755
> (simple_curt 9)
2.0800838232385225245408740