Naïve Prime Factorization in Clojure Pt. 2











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












    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






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked 29 mins ago









      Carcigenicate

      2,70811229




      2,70811229



























          active

          oldest

          votes











          Your Answer





          StackExchange.ifUsing("editor", function () {
          return StackExchange.using("mathjaxEditing", function () {
          StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
          StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["\$", "\$"]]);
          });
          });
          }, "mathjax-editing");

          StackExchange.ifUsing("editor", function () {
          StackExchange.using("externalEditor", function () {
          StackExchange.using("snippets", function () {
          StackExchange.snippets.init();
          });
          });
          }, "code-snippets");

          StackExchange.ready(function() {
          var channelOptions = {
          tags: "".split(" "),
          id: "196"
          };
          initTagRenderer("".split(" "), "".split(" "), channelOptions);

          StackExchange.using("externalEditor", function() {
          // Have to fire editor after snippets, if snippets enabled
          if (StackExchange.settings.snippets.snippetsEnabled) {
          StackExchange.using("snippets", function() {
          createEditor();
          });
          }
          else {
          createEditor();
          }
          });

          function createEditor() {
          StackExchange.prepareEditor({
          heartbeatType: 'answer',
          convertImagesToLinks: false,
          noModals: true,
          showLowRepImageUploadWarning: true,
          reputationToPostImages: null,
          bindNavPrevention: true,
          postfix: "",
          imageUploader: {
          brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
          contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
          allowUrls: true
          },
          onDemand: true,
          discardSelector: ".discard-answer"
          ,immediatelyShowMarkdownHelp:true
          });


          }
          });














          draft saved

          draft discarded


















          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fcodereview.stackexchange.com%2fquestions%2f209786%2fna%25c3%25afve-prime-factorization-in-clojure-pt-2%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown






























          active

          oldest

          votes













          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes
















          draft saved

          draft discarded




















































          Thanks for contributing an answer to Code Review Stack Exchange!


          • Please be sure to answer the question. Provide details and share your research!

          But avoid



          • Asking for help, clarification, or responding to other answers.

          • Making statements based on opinion; back them up with references or personal experience.


          Use MathJax to format equations. MathJax reference.


          To learn more, see our tips on writing great answers.





          Some of your past answers have not been well-received, and you're in danger of being blocked from answering.


          Please pay close attention to the following guidance:


          • Please be sure to answer the question. Provide details and share your research!

          But avoid



          • Asking for help, clarification, or responding to other answers.

          • Making statements based on opinion; back them up with references or personal experience.


          To learn more, see our tips on writing great answers.




          draft saved


          draft discarded














          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fcodereview.stackexchange.com%2fquestions%2f209786%2fna%25c3%25afve-prime-factorization-in-clojure-pt-2%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown





















































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown

































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown







          Popular posts from this blog

          Quarter-circle Tiles

          build a pushdown automaton that recognizes the reverse language of a given pushdown automaton?

          Mont Emei