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-rw-r--r--one/seven.scm49
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-;;; Under Creative Commons Attribution-ShareAlike 4.0
-;;; International. See
-;;; <https://creativecommons.org/licenses/by-sa/4.0/>.
-
-(define-module (one seven)
- #:export (tolerances-and-sqrt
- good-enough-alt?
- sqrt-iter-alt
- sqrt-sicp-alt))
-
-(use-modules (one six))
-
-;;;; start yak shaving
-(define (gen-good-enough tolerance)
- (lambda (guess x)
- (< (abs (- (square guess) x)) tolerance)))
-
-(define (sqrt-iter-with-tolerance guess x tolerance)
- (let ((good-enough? (gen-good-enough tolerance)))
- (if (good-enough? guess x)
- guess
- (sqrt-iter-with-tolerance (improve guess x)
- x tolerance))))
-
-(define (sqrt-with-tolerance x tolerance)
- (sqrt-iter-with-tolerance 1.0 x tolerance))
-
-(define (tolerances-and-sqrt x tolerance)
- (let* ((guile-sqrt (sqrt x))
- (custom-sqrt (sqrt-with-tolerance x tolerance)))
- (if (eqv? guile-sqrt custom-sqrt)
- (cons tolerance custom-sqrt)
- (cons (cons tolerance custom-sqrt)
- (tolerances-and-sqrt x (/ tolerance 10))))))
-;;;; end yak shaving
-
-;;; start excercise 1.1.7
-(define (good-enough-alt? guess prev-guess)
- (< (abs (- guess prev-guess)) 0.001))
-
-(define (sqrt-iter-alt guess prev-guess x)
- (if (good-enough-alt? guess prev-guess)
- guess
- (sqrt-iter-alt (improve guess x) guess
- x)))
-
-(define (sqrt-sicp-alt x)
- (sqrt-iter-alt 1.0 2.0 x))
-;;;; end excercise 1.1.7