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-rw-r--r--net/ricketyspace/sicp/one/thirtyfive.scm28
1 files changed, 28 insertions, 0 deletions
diff --git a/net/ricketyspace/sicp/one/thirtyfive.scm b/net/ricketyspace/sicp/one/thirtyfive.scm
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+;;;; Under Creative Commons Attribution-ShareAlike 4.0
+;;;; International. See
+;;;; <https://creativecommons.org/licenses/by-sa/4.0/>.
+
+(define-module (net ricketyspace sicp one thirtyfive)
+ #:export (golden-ratio))
+
+(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)
+ next
+ (try next))))
+ (try first-guess))
+
+(define (golden-ratio )
+ (fixed-point (lambda (x) (+ 1 (/ 1.0 x))) 1.0))
+
+;;; Guile REPL
+;;;
+;;; scheme@(guile-user)> ,use (net ricketyspace sicp one thirtyfive)
+;;; scheme@(guile-user)> (golden-ratio)
+;;; $1 = 1.6180327868852458
+