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  4. Elliminate the e symbol from doubles

Elliminate the e symbol from doubles

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  • N Niklas L

    What you 'see' is a formatted string representation of the actual value. You do not lose accuracy in calculations just because the string looks truncated.

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    Schehaider_Aymen
    wrote on last edited by
    #5

    ok o how could u explain this : i have double x = 105145010021234567890311169400. and when i make double y = fmod(x, 97) it gives me 16 or when i calculte it with a calculator it gives me 92

    "The Ultimate Limit Is Only Your Imagination."

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    • S Schehaider_Aymen

      ok i'll try to give a little exmp : let's sy i have a double x= 1.123456789 e09 . i'd like to make it x = 1123456789 without the e right. is it clear or still fuzzy :s

      "The Ultimate Limit Is Only Your Imagination."

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      CPallini
      wrote on last edited by
      #6

      Blood_HaZaRd wrote:

      x= 1.123456789 e09

      Blood_HaZaRd wrote:

      x = 1123456789

      Since they are different representations of the same number, both of them are stored, in a double, with the same bit pattern. :)

      If the Lord God Almighty had consulted me before embarking upon the Creation, I would have recommended something simpler. -- Alfonso the Wise, 13th Century King of Castile.
      This is going on my arrogant assumptions. You may have a superb reason why I'm completely wrong. -- Iain Clarke
      [My articles]

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      • C CPallini

        Blood_HaZaRd wrote:

        x= 1.123456789 e09

        Blood_HaZaRd wrote:

        x = 1123456789

        Since they are different representations of the same number, both of them are stored, in a double, with the same bit pattern. :)

        If the Lord God Almighty had consulted me before embarking upon the Creation, I would have recommended something simpler. -- Alfonso the Wise, 13th Century King of Castile.
        This is going on my arrogant assumptions. You may have a superb reason why I'm completely wrong. -- Iain Clarke
        [My articles]

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        Schehaider_Aymen
        wrote on last edited by
        #7

        it's clear that they have the same number but God its seems that the fmod doesn't make a correct modulo with double or i missed sth else with that fucntion ...

        //i have x = 105145010021234567890311169400 which is also equal to 1.0514501002123e+029
        double alpha = fmod (x, 97) //alpha will be equal to 16.000000000000

        or with calculator x modulo 97 = 92 it sounds my computer is hollowed :doh:

        "The Ultimate Limit Is Only Your Imagination."

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        • S Schehaider_Aymen

          ok o how could u explain this : i have double x = 105145010021234567890311169400. and when i make double y = fmod(x, 97) it gives me 16 or when i calculte it with a calculator it gives me 92

          "The Ultimate Limit Is Only Your Imagination."

          N Offline
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          Niklas L
          wrote on last edited by
          #8

          Your value cannot be stored within a double precision floating point number (64 bit IEEE whatever) It simply holds too much information, so your system will have to round it off.

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          • S Schehaider_Aymen

            ok o how could u explain this : i have double x = 105145010021234567890311169400. and when i make double y = fmod(x, 97) it gives me 16 or when i calculte it with a calculator it gives me 92

            "The Ultimate Limit Is Only Your Imagination."

            N Offline
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            Niklas L
            wrote on last edited by
            #9

            Read about Floating point numbers[^]

            home

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            • S Schehaider_Aymen

              ok o how could u explain this : i have double x = 105145010021234567890311169400. and when i make double y = fmod(x, 97) it gives me 16 or when i calculte it with a calculator it gives me 92

              "The Ultimate Limit Is Only Your Imagination."

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              Aescleal
              wrote on last edited by
              #10

              You'll never get a representation of that integer into a double without loosing a chunk of accuracy. 105145010021234567890311169400 is 0xE97804B9A34AB4E which is going to take about 60 bits to hold. As a double only has 53 bits to store digits you've already rounded your number to the nearest multiple of 128 by storing it in a double. So as it's an integer, store it in an integer - the e bit is non-negotiable with a floating point number and has no bearing at all on your problem. Ash

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              • A Aescleal

                You'll never get a representation of that integer into a double without loosing a chunk of accuracy. 105145010021234567890311169400 is 0xE97804B9A34AB4E which is going to take about 60 bits to hold. As a double only has 53 bits to store digits you've already rounded your number to the nearest multiple of 128 by storing it in a double. So as it's an integer, store it in an integer - the e bit is non-negotiable with a floating point number and has no bearing at all on your problem. Ash

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                Schehaider_Aymen
                wrote on last edited by
                #11

                ok so the best solution is to navigate into mthemticl splitting and mke the purpose by slices

                "The Ultimate Limit Is Only Your Imagination."

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                • S Schehaider_Aymen

                  it's clear that they have the same number but God its seems that the fmod doesn't make a correct modulo with double or i missed sth else with that fucntion ...

                  //i have x = 105145010021234567890311169400 which is also equal to 1.0514501002123e+029
                  double alpha = fmod (x, 97) //alpha will be equal to 16.000000000000

                  or with calculator x modulo 97 = 92 it sounds my computer is hollowed :doh:

                  "The Ultimate Limit Is Only Your Imagination."

                  C Offline
                  C Offline
                  CPallini
                  wrote on last edited by
                  #12

                  Blood_HaZaRd wrote:

                  //i have x = 105145010021234567890311169400 which is also equal to 1.0514501002123e+029

                  That is wrong. As I stated before, double cannot represent such big integer numbers with the required (by you) accuracy:

                  1.0514501002123e+029 = 105145010021230000000000000000

                  i.e. there's a big difference with 105145010021234567890311169400. Bottom line: you cannot use a double for the intended purpose (after all, doubles are 64 bit numbers: they would have 'mystical powers' in order to represent an integer better than a 64 bit int itself). :)

                  If the Lord God Almighty had consulted me before embarking upon the Creation, I would have recommended something simpler. -- Alfonso the Wise, 13th Century King of Castile.
                  This is going on my arrogant assumptions. You may have a superb reason why I'm completely wrong. -- Iain Clarke
                  [My articles]

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                  • C CPallini

                    Blood_HaZaRd wrote:

                    //i have x = 105145010021234567890311169400 which is also equal to 1.0514501002123e+029

                    That is wrong. As I stated before, double cannot represent such big integer numbers with the required (by you) accuracy:

                    1.0514501002123e+029 = 105145010021230000000000000000

                    i.e. there's a big difference with 105145010021234567890311169400. Bottom line: you cannot use a double for the intended purpose (after all, doubles are 64 bit numbers: they would have 'mystical powers' in order to represent an integer better than a 64 bit int itself). :)

                    If the Lord God Almighty had consulted me before embarking upon the Creation, I would have recommended something simpler. -- Alfonso the Wise, 13th Century King of Castile.
                    This is going on my arrogant assumptions. You may have a superb reason why I'm completely wrong. -- Iain Clarke
                    [My articles]

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                    Schehaider_Aymen
                    wrote on last edited by
                    #13

                    May i use a 128 bit integer or double nd if yes how to do that so

                    "The Ultimate Limit Is Only Your Imagination."

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                    • S Schehaider_Aymen

                      May i use a 128 bit integer or double nd if yes how to do that so

                      "The Ultimate Limit Is Only Your Imagination."

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                      CPallini
                      wrote on last edited by
                      #14

                      Yes, if you have them. :)

                      If the Lord God Almighty had consulted me before embarking upon the Creation, I would have recommended something simpler. -- Alfonso the Wise, 13th Century King of Castile.
                      This is going on my arrogant assumptions. You may have a superb reason why I'm completely wrong. -- Iain Clarke
                      [My articles]

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                      • S Schehaider_Aymen

                        ok so the best solution is to navigate into mthemticl splitting and mke the purpose by slices

                        "The Ultimate Limit Is Only Your Imagination."

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                        norish
                        wrote on last edited by
                        #15

                        One solution is using Multiple Precision Number library like http://gmplib.org/[^]

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                        • N norish

                          One solution is using Multiple Precision Number library like http://gmplib.org/[^]

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                          Schehaider_Aymen
                          wrote on last edited by
                          #16

                          i alredy downloaded the GMP zip files but i had problems to use it in MVS 6.0 .. i m a newbie in such manipulations (integrating foreign files inti my project) . may be when my skills will be better i 'll try it :laugh:

                          "The Ultimate Limit Is Only Your Imagination."

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                          • S Schehaider_Aymen

                            i alredy downloaded the GMP zip files but i had problems to use it in MVS 6.0 .. i m a newbie in such manipulations (integrating foreign files inti my project) . may be when my skills will be better i 'll try it :laugh:

                            "The Ultimate Limit Is Only Your Imagination."

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                            Lost User
                            wrote on last edited by
                            #17

                            I think you need to spend some more time reading about floating point number representations. A floating point (double) number allows you to store extremely large or extremely small values and anything in between, but at a cost of accuracy in these values. Thus they are no good for applications where numeric accuracy is important, e.g. anything to do with money. When you display such numbers on screen or printer you have various options for how you wish them to be represented on screen: in scientific 1.3456e-2, or decimal 0.013456 etc. If you want to use very large numbers with no loss of accuracy then you need to find a library or class (or write one) that can do it for you.

                            It's time for a new signature.

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