Naïve Prime Factorization in Clojure Pt. 2











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After my last review request, I decided to try and make a "tree" visualization, and thought that I could benefit from making find-prime-factors lazily produce prime factors so the visualization can be updated in real time as factors are found.



This is what I ended up with. I was actually surprised how easy it was to adapt the loop to a recursive lazy-seq solution. The non-return accumulators were added as parameters to a recursive function, and the lazy return list was created via the typical (lazy-seq (cons ... ...)). It actually performs identically to the previous strict version too when evaluation is forced using vec.



If anyone sees anything here that can be commented on, I'd like to know.





(doseq [p (lazily-find-prime-factors 99930610001)]
(println p
(int (/ (System/currentTimeMillis) 1000))))
163 1544998649
191 1544998692
3209797 1544998692




Same as in the last review:



(ns irrelevant.prime-factorization.prime-factorization)

(defn is-factor-of? [n multiple]
(zero? (rem n multiple)))

(defn prime? [n]
(or (= n 2) ; TODO: Eww
(->> (range 2 (inc (Math/sqrt ^double n)))
(some #(is-factor-of? n %))
(not))))

(defn primes
(->> (range)
(drop 2) ; Lower bound of 2 for the range
(filter prime?)))

(defn smallest-factor-of? [n possible-multiples]
(some #(when (is-factor-of? n %) %)
possible-multiples))




Updated:



(defn lazily-find-prime-factors [n]
(letfn [(rec [remaining remaining-primes]
(when-let [small-prime (and (> remaining 1)
(smallest-factor-of? remaining remaining-primes))]
(lazy-seq
(cons small-prime
(rec (long (/ remaining small-prime))
(drop-while #(not= % small-prime) remaining-primes))))))]
(rec n (primes))))









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    up vote
    0
    down vote

    favorite












    After my last review request, I decided to try and make a "tree" visualization, and thought that I could benefit from making find-prime-factors lazily produce prime factors so the visualization can be updated in real time as factors are found.



    This is what I ended up with. I was actually surprised how easy it was to adapt the loop to a recursive lazy-seq solution. The non-return accumulators were added as parameters to a recursive function, and the lazy return list was created via the typical (lazy-seq (cons ... ...)). It actually performs identically to the previous strict version too when evaluation is forced using vec.



    If anyone sees anything here that can be commented on, I'd like to know.





    (doseq [p (lazily-find-prime-factors 99930610001)]
    (println p
    (int (/ (System/currentTimeMillis) 1000))))
    163 1544998649
    191 1544998692
    3209797 1544998692




    Same as in the last review:



    (ns irrelevant.prime-factorization.prime-factorization)

    (defn is-factor-of? [n multiple]
    (zero? (rem n multiple)))

    (defn prime? [n]
    (or (= n 2) ; TODO: Eww
    (->> (range 2 (inc (Math/sqrt ^double n)))
    (some #(is-factor-of? n %))
    (not))))

    (defn primes
    (->> (range)
    (drop 2) ; Lower bound of 2 for the range
    (filter prime?)))

    (defn smallest-factor-of? [n possible-multiples]
    (some #(when (is-factor-of? n %) %)
    possible-multiples))




    Updated:



    (defn lazily-find-prime-factors [n]
    (letfn [(rec [remaining remaining-primes]
    (when-let [small-prime (and (> remaining 1)
    (smallest-factor-of? remaining remaining-primes))]
    (lazy-seq
    (cons small-prime
    (rec (long (/ remaining small-prime))
    (drop-while #(not= % small-prime) remaining-primes))))))]
    (rec n (primes))))









    share|improve this question
























      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      After my last review request, I decided to try and make a "tree" visualization, and thought that I could benefit from making find-prime-factors lazily produce prime factors so the visualization can be updated in real time as factors are found.



      This is what I ended up with. I was actually surprised how easy it was to adapt the loop to a recursive lazy-seq solution. The non-return accumulators were added as parameters to a recursive function, and the lazy return list was created via the typical (lazy-seq (cons ... ...)). It actually performs identically to the previous strict version too when evaluation is forced using vec.



      If anyone sees anything here that can be commented on, I'd like to know.





      (doseq [p (lazily-find-prime-factors 99930610001)]
      (println p
      (int (/ (System/currentTimeMillis) 1000))))
      163 1544998649
      191 1544998692
      3209797 1544998692




      Same as in the last review:



      (ns irrelevant.prime-factorization.prime-factorization)

      (defn is-factor-of? [n multiple]
      (zero? (rem n multiple)))

      (defn prime? [n]
      (or (= n 2) ; TODO: Eww
      (->> (range 2 (inc (Math/sqrt ^double n)))
      (some #(is-factor-of? n %))
      (not))))

      (defn primes
      (->> (range)
      (drop 2) ; Lower bound of 2 for the range
      (filter prime?)))

      (defn smallest-factor-of? [n possible-multiples]
      (some #(when (is-factor-of? n %) %)
      possible-multiples))




      Updated:



      (defn lazily-find-prime-factors [n]
      (letfn [(rec [remaining remaining-primes]
      (when-let [small-prime (and (> remaining 1)
      (smallest-factor-of? remaining remaining-primes))]
      (lazy-seq
      (cons small-prime
      (rec (long (/ remaining small-prime))
      (drop-while #(not= % small-prime) remaining-primes))))))]
      (rec n (primes))))









      share|improve this question













      After my last review request, I decided to try and make a "tree" visualization, and thought that I could benefit from making find-prime-factors lazily produce prime factors so the visualization can be updated in real time as factors are found.



      This is what I ended up with. I was actually surprised how easy it was to adapt the loop to a recursive lazy-seq solution. The non-return accumulators were added as parameters to a recursive function, and the lazy return list was created via the typical (lazy-seq (cons ... ...)). It actually performs identically to the previous strict version too when evaluation is forced using vec.



      If anyone sees anything here that can be commented on, I'd like to know.





      (doseq [p (lazily-find-prime-factors 99930610001)]
      (println p
      (int (/ (System/currentTimeMillis) 1000))))
      163 1544998649
      191 1544998692
      3209797 1544998692




      Same as in the last review:



      (ns irrelevant.prime-factorization.prime-factorization)

      (defn is-factor-of? [n multiple]
      (zero? (rem n multiple)))

      (defn prime? [n]
      (or (= n 2) ; TODO: Eww
      (->> (range 2 (inc (Math/sqrt ^double n)))
      (some #(is-factor-of? n %))
      (not))))

      (defn primes
      (->> (range)
      (drop 2) ; Lower bound of 2 for the range
      (filter prime?)))

      (defn smallest-factor-of? [n possible-multiples]
      (some #(when (is-factor-of? n %) %)
      possible-multiples))




      Updated:



      (defn lazily-find-prime-factors [n]
      (letfn [(rec [remaining remaining-primes]
      (when-let [small-prime (and (> remaining 1)
      (smallest-factor-of? remaining remaining-primes))]
      (lazy-seq
      (cons small-prime
      (rec (long (/ remaining small-prime))
      (drop-while #(not= % small-prime) remaining-primes))))))]
      (rec n (primes))))






      primes clojure






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      asked 29 mins ago









      Carcigenicate

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