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Rounding

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  • P PaulowniaK

    A very random question, but CPians' answers may possibly be useful for me... Is there a word or a phrase describing this:

    1.5 gets rounded to 1.
    1.6 gets rounded to 2.

    150 gets rounded to 100.
    160 gets rounded to 200.

    and any other similar effects...

    :confused: Any suggestions greatly appreciated.

    Almost, but not quite, entirely unlike... me...

    D Offline
    D Offline
    DaveAuld
    wrote on last edited by
    #12

    Smells very much like "Significant Number Rounding"... http://en.wikipedia.org/wiki/Significant_figures[^] Demo Calculator -> http://ostermiller.org/calc/significant_figures.html[^]

    Dave Find Me On:Web|Facebook|Twitter|LinkedIn Folding Stats: Team CodeProject

    P 1 Reply Last reply
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    • J JMK NI

      This is standard rounding The irony is that people are so used to bankers rounding they get confused when they see ordinary rounding, but this is the kind you probably learned about in school! Disregard, I'm an idiot

      D Offline
      D Offline
      DaveAuld
      wrote on last edited by
      #13

      JMK-NI wrote:

      This is standard rounding

      No it isn't. There is a huge difference between standard rounding and significant rounding. There are also many different types of rounding scheme depending on the application: http://en.wikipedia.org/wiki/Rounding[^]

      Dave Find Me On:Web|Facebook|Twitter|LinkedIn Folding Stats: Team CodeProject

      J 1 Reply Last reply
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      • D DaveAuld

        JMK-NI wrote:

        This is standard rounding

        No it isn't. There is a huge difference between standard rounding and significant rounding. There are also many different types of rounding scheme depending on the application: http://en.wikipedia.org/wiki/Rounding[^]

        Dave Find Me On:Web|Facebook|Twitter|LinkedIn Folding Stats: Team CodeProject

        J Offline
        J Offline
        JMK NI
        wrote on last edited by
        #14

        Well knock me down! It's 6:30AM, I haven't had coffee yet!

        D 1 Reply Last reply
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        • J Jorgen Andersson

          Rounding to one significant digit.

          Wrong is evil and must be defeated. - Jeff Ello[^]

          P Offline
          P Offline
          PaulowniaK
          wrote on last edited by
          #15

          OK, bad example...

          123 would be 120.
          125 would be 120.
          126 would be 130.

          etc. etc.

          The point not being the number of significant digits you end up with, but the fact that the rounding is happening at 5 and 6 rather than the more usual 4 and 5.

          Almost, but not quite, entirely unlike... me...

          D J G 3 Replies Last reply
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          • J JMK NI

            Well knock me down! It's 6:30AM, I haven't had coffee yet!

            D Offline
            D Offline
            DaveAuld
            wrote on last edited by
            #16

            Well it's now 6:43am, my first meeting with my supervisory team was an hour ago and I have already spoken with my boss onshore, so the day is well underway. Only another 14 or 15 hours still to go. :doh: Feeling :zzz: already.

            Dave Find Me On:Web|Facebook|Twitter|LinkedIn Folding Stats: Team CodeProject

            1 Reply Last reply
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            • D DaveAuld

              Smells very much like "Significant Number Rounding"... http://en.wikipedia.org/wiki/Significant_figures[^] Demo Calculator -> http://ostermiller.org/calc/significant_figures.html[^]

              Dave Find Me On:Web|Facebook|Twitter|LinkedIn Folding Stats: Team CodeProject

              P Offline
              P Offline
              PaulowniaK
              wrote on last edited by
              #17

              My understanding of rounding to N significant figure is like this:

              1234 to 3 significant figures = 1230
              1235 to 3 significant figures = 1240
              1236 to 3 significant figures = 1240

              The trouble is, I need

              1234 to 3 significant figures = 1230
              1235 to 3 significant figures = 1230
              1236 to 3 significant figures = 1240

              The point is, rather than rounding up or down depending on whether the N+1th digit is 4 or 5, but whether it is 5 or 6.

              Almost, but not quite, entirely unlike... me...

              D A J 3 Replies Last reply
              0
              • P PaulowniaK

                OK, bad example...

                123 would be 120.
                125 would be 120.
                126 would be 130.

                etc. etc.

                The point not being the number of significant digits you end up with, but the fact that the rounding is happening at 5 and 6 rather than the more usual 4 and 5.

                Almost, but not quite, entirely unlike... me...

                D Offline
                D Offline
                DaveAuld
                wrote on last edited by
                #18

                Sounds like you want to do Round Half Down + Significant then.

                Dave Find Me On:Web|Facebook|Twitter|LinkedIn Folding Stats: Team CodeProject

                1 Reply Last reply
                0
                • P PaulowniaK

                  My understanding of rounding to N significant figure is like this:

                  1234 to 3 significant figures = 1230
                  1235 to 3 significant figures = 1240
                  1236 to 3 significant figures = 1240

                  The trouble is, I need

                  1234 to 3 significant figures = 1230
                  1235 to 3 significant figures = 1230
                  1236 to 3 significant figures = 1240

                  The point is, rather than rounding up or down depending on whether the N+1th digit is 4 or 5, but whether it is 5 or 6.

                  Almost, but not quite, entirely unlike... me...

                  D Offline
                  D Offline
                  DaveAuld
                  wrote on last edited by
                  #19

                  Round half down + Significant.

                  Dave Find Me On:Web|Facebook|Twitter|LinkedIn Folding Stats: Team CodeProject

                  P 1 Reply Last reply
                  0
                  • P PaulowniaK

                    My understanding of rounding to N significant figure is like this:

                    1234 to 3 significant figures = 1230
                    1235 to 3 significant figures = 1240
                    1236 to 3 significant figures = 1240

                    The trouble is, I need

                    1234 to 3 significant figures = 1230
                    1235 to 3 significant figures = 1230
                    1236 to 3 significant figures = 1240

                    The point is, rather than rounding up or down depending on whether the N+1th digit is 4 or 5, but whether it is 5 or 6.

                    Almost, but not quite, entirely unlike... me...

                    A Offline
                    A Offline
                    Agent__007
                    wrote on last edited by
                    #20

                    How about "N Significant Half-Down Rounding[^]"?

                    Whether I think I can, or think I can't, I am always bloody right!

                    1 Reply Last reply
                    0
                    • P PaulowniaK

                      My understanding of rounding to N significant figure is like this:

                      1234 to 3 significant figures = 1230
                      1235 to 3 significant figures = 1240
                      1236 to 3 significant figures = 1240

                      The trouble is, I need

                      1234 to 3 significant figures = 1230
                      1235 to 3 significant figures = 1230
                      1236 to 3 significant figures = 1240

                      The point is, rather than rounding up or down depending on whether the N+1th digit is 4 or 5, but whether it is 5 or 6.

                      Almost, but not quite, entirely unlike... me...

                      J Offline
                      J Offline
                      Jorgen Andersson
                      wrote on last edited by
                      #21

                      So depending on how you want to treat negative numbers you want either "Significant digits round half down" or "Significant digits round half towards zero".

                      Wrong is evil and must be defeated. - Jeff Ello[^]

                      P 1 Reply Last reply
                      0
                      • P PaulowniaK

                        OK, bad example...

                        123 would be 120.
                        125 would be 120.
                        126 would be 130.

                        etc. etc.

                        The point not being the number of significant digits you end up with, but the fact that the rounding is happening at 5 and 6 rather than the more usual 4 and 5.

                        Almost, but not quite, entirely unlike... me...

                        J Offline
                        J Offline
                        Jorgen Andersson
                        wrote on last edited by
                        #22

                        See my other answer, or Daves.

                        Wrong is evil and must be defeated. - Jeff Ello[^]

                        1 Reply Last reply
                        0
                        • D DaveAuld

                          Round half down + Significant.

                          Dave Find Me On:Web|Facebook|Twitter|LinkedIn Folding Stats: Team CodeProject

                          P Offline
                          P Offline
                          PaulowniaK
                          wrote on last edited by
                          #23

                          Cheers. I think "round half down" is the term I needed. :thumbsup:

                          Almost, but not quite, entirely unlike... me...

                          1 Reply Last reply
                          0
                          • J Jorgen Andersson

                            So depending on how you want to treat negative numbers you want either "Significant digits round half down" or "Significant digits round half towards zero".

                            Wrong is evil and must be defeated. - Jeff Ello[^]

                            P Offline
                            P Offline
                            PaulowniaK
                            wrote on last edited by
                            #24

                            All values are positive, due to the nature of the application. "Round half down" was the term I was looking for. Thanks for your help. :cool:

                            Almost, but not quite, entirely unlike... me...

                            1 Reply Last reply
                            0
                            • L Lost User

                              http://en.wikipedia.org/wiki/Rounding[^] "Round half down to nearest integral multiplier power of 10"

                              Peter Wasser "The whole problem with the world is that fools and fanatics are always so certain of themselves, and wiser people so full of doubts." - Bertrand Russell

                              P Offline
                              P Offline
                              PaulowniaK
                              wrote on last edited by
                              #25

                              Thanks, "Round half down" was the term I was looking for. :)

                              Almost, but not quite, entirely unlike... me...

                              1 Reply Last reply
                              0
                              • S Steve Wellens

                                How's this: Round to one significant digit.

                                D Offline
                                D Offline
                                Duncan Edwards Jones
                                wrote on last edited by
                                #26

                                ...or rounding to the most significant digit. (I'd suggest that we call this "politicians rounding")

                                1 Reply Last reply
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                                • J JMK NI

                                  This is standard rounding The irony is that people are so used to bankers rounding they get confused when they see ordinary rounding, but this is the kind you probably learned about in school! Disregard, I'm an idiot

                                  B Offline
                                  B Offline
                                  BillWoodruff
                                  wrote on last edited by
                                  #27

                                  JMK-NI wrote:

                                  Disregard, I'm an idiot

                                  Well, JMK-NI, don't worry too much: you are in the place for idiocy. It's kind of like a "contagious skin rash," here, on the Lounge, it breaks out in different people, and makes different people scratch in different places, while others scratch their heads. cheers, Bill

                                  “I have diligently numbered the days of pure and genuine happiness which have fallen to my lot: They amount to 14.” Abd-Ar Rahman III, Caliph of Cordoba, circa 950CE.

                                  1 Reply Last reply
                                  0
                                  • P PaulowniaK

                                    A very random question, but CPians' answers may possibly be useful for me... Is there a word or a phrase describing this:

                                    1.5 gets rounded to 1.
                                    1.6 gets rounded to 2.

                                    150 gets rounded to 100.
                                    160 gets rounded to 200.

                                    and any other similar effects...

                                    :confused: Any suggestions greatly appreciated.

                                    Almost, but not quite, entirely unlike... me...

                                    M Offline
                                    M Offline
                                    Michael Pauli
                                    wrote on last edited by
                                    #28

                                    The 1.5 -> 1 is a little strange. Except for that you can use

                                    double MagicFormula(double x)
                                    {
                                    var d = Math.Log10(x);
                                    var f = Math.Pow(10.0, d);
                                    var res = Math.Round(x / f, 0) * f;
                                    var res2 = Math.Round(res, 0);
                                    return res2;
                                    }

                                    Michael Pauli

                                    1 Reply Last reply
                                    0
                                    • P PaulowniaK

                                      OK, bad example...

                                      123 would be 120.
                                      125 would be 120.
                                      126 would be 130.

                                      etc. etc.

                                      The point not being the number of significant digits you end up with, but the fact that the rounding is happening at 5 and 6 rather than the more usual 4 and 5.

                                      Almost, but not quite, entirely unlike... me...

                                      G Offline
                                      G Offline
                                      Gary Wheeler
                                      wrote on last edited by
                                      #29

                                      I think the word you are looking for is 'wrong'.

                                      Software Zen: delete this;

                                      1 Reply Last reply
                                      0
                                      • P PaulowniaK

                                        A very random question, but CPians' answers may possibly be useful for me... Is there a word or a phrase describing this:

                                        1.5 gets rounded to 1.
                                        1.6 gets rounded to 2.

                                        150 gets rounded to 100.
                                        160 gets rounded to 200.

                                        and any other similar effects...

                                        :confused: Any suggestions greatly appreciated.

                                        Almost, but not quite, entirely unlike... me...

                                        N Offline
                                        N Offline
                                        newton saber
                                        wrote on last edited by
                                        #30

                                        Kind of like ceiling / floor, but that's for decimal. http://en.wikipedia.org/wiki/Floor_and_ceiling_functions[^]

                                        1 Reply Last reply
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