(wat-aro)

無職から有職者にランクアップしました

SICP 問題1.36

(define (fixed-point2 f first-guess)
  (define (close-enough? v1 v2)
    (< (abs (- v1 v2)) tolerance))
  (define (try guess)
    (let ((next (f guess)))
      (display guess)
      (newline)
      (if (close-enough? guess next)
          next
          (try next))))
  (try first-guess))

(define (my-exp)
  (fixed-point2 (lambda (x) (/ (log 1000) (log x)))
                2.0))

(define (my-exp2)
  (fixed-point2 (lambda (x) (average x (/ (log 1000) (log x))))
                2.0))
gosh> (my-exp)
2.0
9.965784284662087
3.004472209841214
6.279195757507157
3.759850702401539
5.215843784925895
4.182207192401397
4.8277650983445906
4.387593384662677
4.671250085763899
4.481403616895052
4.6053657460929
4.5230849678718865
4.577114682047341
4.541382480151454
4.564903245230833
4.549372679303342
4.559606491913287
4.552853875788271
4.557305529748263
4.554369064436181
4.556305311532999
4.555028263573554
4.555870396702851
4.555315001192079
4.5556812635433275
4.555439715736846
4.555599009998291
4.555493957531389
4.555563237292884
4.555517548417651
4.555547679306398
4.555527808516254
4.555540912917957
4.555532270803653
gosh> (my-exp2)
2.0
5.9828921423310435
4.922168721308343
4.628224318195455
4.568346513136242
4.5577305909237005
4.555909809045131
4.555599411610624
4.5555465521473675
4.555537551999825

平均緩和を使わなかった時は35ステップ. 使った場合は10ステップ.