7.0pt ≠ x*10.0pt for all x












0















Consider the following input:



documentclass{article}
begin{document}
newlength{smallertopskip}
setlength{smallertopskip}{.700004577636718749999999999999999999999999999999topskip}
newlength{largertopskip}
setlength{largertopskip}{.700004577636718750000000000000000000000000000000topskip}

Topskip: thetopskip

Smaller: thesmallertopskip

Larger: thelargertopskip
end{document}


Running pdflatex on it results in




Topskip: 10.0pt



Smaller: 6.99997pt



Larger: 7.00012pt




As you see above, I tried hard to get exactly 7pt as a result of multiplication of some floating-point constant with topskip, but failed. Sure, it's very well-known that floating-point computations are really inaccurate in TeX, but I'm wondering whether some external package could provide us with a rather general-purpose multiplication function (say, mult), which approximates the mathematical multiplication in some sense, such that



newlength{myLength}
setlength{myLength}{mult{x}{topskip}}
themyLength


(or similar code) would result in 7.0pt for some verbatim floating-point constant x assuming that topskip is 10.0pt?









share



























    0















    Consider the following input:



    documentclass{article}
    begin{document}
    newlength{smallertopskip}
    setlength{smallertopskip}{.700004577636718749999999999999999999999999999999topskip}
    newlength{largertopskip}
    setlength{largertopskip}{.700004577636718750000000000000000000000000000000topskip}

    Topskip: thetopskip

    Smaller: thesmallertopskip

    Larger: thelargertopskip
    end{document}


    Running pdflatex on it results in




    Topskip: 10.0pt



    Smaller: 6.99997pt



    Larger: 7.00012pt




    As you see above, I tried hard to get exactly 7pt as a result of multiplication of some floating-point constant with topskip, but failed. Sure, it's very well-known that floating-point computations are really inaccurate in TeX, but I'm wondering whether some external package could provide us with a rather general-purpose multiplication function (say, mult), which approximates the mathematical multiplication in some sense, such that



    newlength{myLength}
    setlength{myLength}{mult{x}{topskip}}
    themyLength


    (or similar code) would result in 7.0pt for some verbatim floating-point constant x assuming that topskip is 10.0pt?









    share

























      0












      0








      0








      Consider the following input:



      documentclass{article}
      begin{document}
      newlength{smallertopskip}
      setlength{smallertopskip}{.700004577636718749999999999999999999999999999999topskip}
      newlength{largertopskip}
      setlength{largertopskip}{.700004577636718750000000000000000000000000000000topskip}

      Topskip: thetopskip

      Smaller: thesmallertopskip

      Larger: thelargertopskip
      end{document}


      Running pdflatex on it results in




      Topskip: 10.0pt



      Smaller: 6.99997pt



      Larger: 7.00012pt




      As you see above, I tried hard to get exactly 7pt as a result of multiplication of some floating-point constant with topskip, but failed. Sure, it's very well-known that floating-point computations are really inaccurate in TeX, but I'm wondering whether some external package could provide us with a rather general-purpose multiplication function (say, mult), which approximates the mathematical multiplication in some sense, such that



      newlength{myLength}
      setlength{myLength}{mult{x}{topskip}}
      themyLength


      (or similar code) would result in 7.0pt for some verbatim floating-point constant x assuming that topskip is 10.0pt?









      share














      Consider the following input:



      documentclass{article}
      begin{document}
      newlength{smallertopskip}
      setlength{smallertopskip}{.700004577636718749999999999999999999999999999999topskip}
      newlength{largertopskip}
      setlength{largertopskip}{.700004577636718750000000000000000000000000000000topskip}

      Topskip: thetopskip

      Smaller: thesmallertopskip

      Larger: thelargertopskip
      end{document}


      Running pdflatex on it results in




      Topskip: 10.0pt



      Smaller: 6.99997pt



      Larger: 7.00012pt




      As you see above, I tried hard to get exactly 7pt as a result of multiplication of some floating-point constant with topskip, but failed. Sure, it's very well-known that floating-point computations are really inaccurate in TeX, but I'm wondering whether some external package could provide us with a rather general-purpose multiplication function (say, mult), which approximates the mathematical multiplication in some sense, such that



      newlength{myLength}
      setlength{myLength}{mult{x}{topskip}}
      themyLength


      (or similar code) would result in 7.0pt for some verbatim floating-point constant x assuming that topskip is 10.0pt?







      lengths floating-point





      share












      share










      share



      share










      asked 4 mins ago









      user0user0

      46019




      46019






















          0






          active

          oldest

          votes











          Your Answer








          StackExchange.ready(function() {
          var channelOptions = {
          tags: "".split(" "),
          id: "85"
          };
          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',
          autoActivateHeartbeat: false,
          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%2ftex.stackexchange.com%2fquestions%2f473706%2f7-0pt-%25e2%2589%25a0-x10-0pt-for-all-x%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown

























          0






          active

          oldest

          votes








          0






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes
















          draft saved

          draft discarded




















































          Thanks for contributing an answer to TeX - LaTeX 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.


          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%2ftex.stackexchange.com%2fquestions%2f473706%2f7-0pt-%25e2%2589%25a0-x10-0pt-for-all-x%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

          Contact image not getting when fetch all contact list from iPhone by CNContact

          count number of partitions of a set with n elements into k subsets

          A CLEAN and SIMPLE way to add appendices to Table of Contents and bookmarks