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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...

    J Offline
    J Offline
    Jorgen Andersson
    wrote on last edited by
    #7

    Rounding to one significant digit.

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

    P 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...

      L Offline
      L Offline
      Lost User
      wrote on last edited by
      #8

      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 1 Reply Last reply
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      • S Steve Wellens

        How's this: Round to one significant digit.

        A Offline
        A Offline
        Agent__007
        wrote on last edited by
        #9

        :thumbsup: Considering he needs 160.6 to be rounded to 200 and not 161.

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

        1 Reply Last reply
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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...

          B Offline
          B Offline
          BillWoodruff
          wrote on last edited by
          #10

          how I would go about explaining what it's doing to the users.

          If you owe us money, we get more; if we owe you money, you get less.

          “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
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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...

            J Offline
            J Offline
            JMK NI
            wrote on last edited by
            #11

            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 B 2 Replies Last reply
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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

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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
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                        • 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
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                          • 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
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                            • 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...

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                                        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")

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