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Created Sep 25, 2012
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(define (rationalize1 x e)
(define (refine lo hi)
(let* ([M (/ (+ (numerator lo) (numerator hi))
(+ (denominator lo) (denominator hi)))]
[delta (abs (- x M))])
[(<= delta e) M] ;; found
[(< M x) (refine M hi)]
[else (refine lo M)])))
(if (< (abs (- x (round x))) e)
(round->exact x)
(refine (floor->exact x) (ceiling->exact x))))
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