22 hours ago
my attempt to do the exercises in sicp.
Monday, June 30, 2008
sicp exercise 1.35
; Exercise 1.35. Show that the golden ratio (section 1.2.2) is a fixed point of the transformation
; x --> 1 + 1/x, and use this fact to compute by means of the fixed-point procedure.
(define tolerance 0.00001)
(define (fixed-point f first-guess)
(define (close-enough? v1 v2)
(< (abs (- v1 v2)) tolerance))
(define (try guess)
(let ((next (f guess)))
(if (close-enough? guess next)
(define (phi x) (+ 1 (/ 1 x)))
(display (rationalize(fixed-point phi 1) 0.0001)) (newline)