Exercise 1.8.  Newton's method for cube roots is based on the fact that if y is an approximation to
          the cube root of x, then a better approximation is given by the value
          (x/y2+2y)/3
          Use this formula to implement a cube-root procedure analogous to the square-root procedure. (In
          section 1.3.4 we will see how to implement Newton's method in general as an abstraction of these
          square-root and cube-root procedures.)

          (define (cube x)
            (* x x x))
          (define (square x)
            (* x x ))
          (define (result x y)
           (/ (+ (/ x (square y)) (* 2 y)) 3))
          (define (improve  x guess)
            (result   x guess))
          (define (good-enough?  x guess)
            (< (abs (- (* guess guess guess ) x))0.001))
          (define (sqrt-iter x  guess)
            (if (good-enough?  x guess)
                guess
                (sqrt-iter x (improve  x guess)
                           )))
          posted on 2009-03-06 16:22 lzj520 閱讀(272) 評論(0)  編輯  收藏 所屬分類: 個人學習日記sicp
          主站蜘蛛池模板: 台山市| 若羌县| 崇左市| 文登市| 定兴县| 磐石市| 比如县| 三河市| 南召县| 漳州市| 辉县市| 克什克腾旗| 大厂| 四会市| 揭西县| 万安县| 公主岭市| 灵石县| 泰来县| 延长县| 海伦市| 临泽县| 苍南县| 玉溪市| 方正县| 南昌市| 怀柔区| 项城市| 甘孜县| 呈贡县| 尚义县| 大石桥市| 重庆市| 扶风县| 西吉县| 内丘县| 海淀区| 佛坪县| 南溪县| 绍兴市| 达拉特旗|