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(defn deriv [f dx] (fn [x] (/ (- (f (+ x dx)) (f x) ) dx))) | |
(defn make-improver [f dx] (fn [guess] (- guess (/ (f guess) ((deriv f dx) guess))))) | |
(defn make-good-enough [f tolerance] (fn [guess] (< (Math/abs (f guess)) tolerance))) | |
(defn iterative-improve [x improve good?] (if (good? x) x (iterative-improve (improve x) improve good?))) | |
(defn solve [f guess dx tolerance] (iterative-improve guess (make-improver f dx) (make-good-enough f tolerance))) | |
(defn pv | |
([] 0) | |
([i] (/ (+ 1 i))) | |
([i t] (Math/pow (pv i) t)) | |
([i t c] (* c (pv i t)))) |