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Power of 2

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  • R Ryan Binns

    Crikey. I thought this was well known. Just do this:

    if (x & (x-1))
    {
      // x is <edit>not</edit>a power of two
    }
    else
    {
      // x is <edit>not</edit> a power of two
    }

    sorry, got the two cases round the wrong way... :-O

    Ryan

    "Punctuality is only a virtue for those who aren't smart enough to think of good excuses for being late" John Nichol "Point Of Impact"

    -- modified at 6:04 Monday 6th March, 2006

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    Stephen Hewitt
    wrote on last edited by
    #16

    This is by far the best suggestion so far - I'd wager it's impossible to beat this technique. Steve

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    • T Taka Muraoka

      Define "fast". If you're using 32-bit int's, there are only 32 possibilities so you can just check entries in a lookup table, making sure you do the most likely candidates first. BTW, all these suggestions to use sqrt() and log() are nuts - these functions are insanely slow!


      The two most common elements in the universe are Hydrogen and stupidity. - Harlan Ellison Awasu 2.2 [^]: A free RSS/Atom feed reader with support for Code Project.

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      Ryan Binns
      wrote on last edited by
      #17

      Taka Muraoka wrote:

      BTW, all these suggestions to use sqrt() and log() are nuts - these functions are insanely slow!

      Agreed!! It is quite simple. A single decrement and bitwise AND will do the job nicely

      Ryan

      "Punctuality is only a virtue for those who aren't smart enough to think of good excuses for being late" John Nichol "Point Of Impact"

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      • R Ryan Binns

        Crikey. I thought this was well known. Just do this:

        if (x & (x-1))
        {
          // x is <edit>not</edit>a power of two
        }
        else
        {
          // x is <edit>not</edit> a power of two
        }

        sorry, got the two cases round the wrong way... :-O

        Ryan

        "Punctuality is only a virtue for those who aren't smart enough to think of good excuses for being late" John Nichol "Point Of Impact"

        -- modified at 6:04 Monday 6th March, 2006

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        Nibu babu thomas
        wrote on last edited by
        #18

        Great work! You've implemented Russel's idea!


        Nibu thomas Software Developer

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        • S Stephen Hewitt

          This is by far the best suggestion so far - I'd wager it's impossible to beat this technique. Steve

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          Ryan Binns
          wrote on last edited by
          #19

          And yet it got the lowest votes of all of them. Funny, isn't it :)

          Ryan

          "Punctuality is only a virtue for those who aren't smart enough to think of good excuses for being late" John Nichol "Point Of Impact"

          S 1 Reply Last reply
          0
          • N Nibu babu thomas

            Great work! You've implemented Russel's idea!


            Nibu thomas Software Developer

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            Ryan Binns
            wrote on last edited by
            #20

            Actually, I've been using this for years doing embedded programming. Every clock cycle is precious ;)

            Ryan

            "Punctuality is only a virtue for those who aren't smart enough to think of good excuses for being late" John Nichol "Point Of Impact"

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            • R Ryan Binns

              And yet it got the lowest votes of all of them. Funny, isn't it :)

              Ryan

              "Punctuality is only a virtue for those who aren't smart enough to think of good excuses for being late" John Nichol "Point Of Impact"

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              Stephen Hewitt
              wrote on last edited by
              #21

              I gave you a 5 - I would have left it at that but then I saw the low score and felt compelled to reply. Steve

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              • R Ryan Binns

                Actually, I've been using this for years doing embedded programming. Every clock cycle is precious ;)

                Ryan

                "Punctuality is only a virtue for those who aren't smart enough to think of good excuses for being late" John Nichol "Point Of Impact"

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                Nibu babu thomas
                wrote on last edited by
                #22

                Yeah, well said.


                Nibu thomas Software Developer

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                • S Stephen Hewitt

                  I gave you a 5 - I would have left it at that but then I saw the low score and felt compelled to reply. Steve

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                  Ryan Binns
                  wrote on last edited by
                  #23

                  Thanks :) I don't really care. I assume it was because of my first sentence. I was just surprised that five people answered, but not one of them knew about this. I genuinely believed it was well known!

                  Ryan

                  "Punctuality is only a virtue for those who aren't smart enough to think of good excuses for being late" John Nichol "Point Of Impact"

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                  • R Ryan Binns

                    Thanks :) I don't really care. I assume it was because of my first sentence. I was just surprised that five people answered, but not one of them knew about this. I genuinely believed it was well known!

                    Ryan

                    "Punctuality is only a virtue for those who aren't smart enough to think of good excuses for being late" John Nichol "Point Of Impact"

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                    Stephen Hewitt
                    wrote on last edited by
                    #24

                    Surely using the word "crikey" demands higher rather than lower scores! Steve

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                    • S Stephen Hewitt

                      Surely using the word "crikey" demands higher rather than lower scores! Steve

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                      Ryan Binns
                      wrote on last edited by
                      #25

                      :laugh:!

                      Ryan

                      "Punctuality is only a virtue for those who aren't smart enough to think of good excuses for being late" John Nichol "Point Of Impact"

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                      • T toxcct

                        we are on a standard C++ forum, not managed/CLI...

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                        Divyang Mithaiwala
                        wrote on last edited by
                        #26

                        Hello v2.0, We are on visual C++ & my suggesion is not wrong for it.


                        Divyang Mithaiwala System Engineer & Software Developer

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                        • D Divyang Mithaiwala

                          Hello v2.0, We are on visual C++ & my suggesion is not wrong for it.


                          Divyang Mithaiwala System Engineer & Software Developer

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                          toxcct
                          wrote on last edited by
                          #27

                          Divyang Mithaiwala wrote:

                          my suggesion is not wrong for it.

                          yes it is, it will not work on a MFC/Win32 project... it is only for managed C++ (which is not for this forum, but for the C++/CLI forum instead)

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                          0
                          • R Ryan Binns

                            Actually, I've been using this for years doing embedded programming. Every clock cycle is precious ;)

                            Ryan

                            "Punctuality is only a virtue for those who aren't smart enough to think of good excuses for being late" John Nichol "Point Of Impact"

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                            RichardS
                            wrote on last edited by
                            #28

                            Hi Ryan, Thanks for the help. The code is great and the application is for an embedded -> PC interface. cheers Rich "Programming today is a race between software engineers striving to build bigger and better idiot-proof programs, and the Universe trying to produce bigger and better idiots. So far the Universe is winning." -- Rich Cook

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                            • R Ryan Binns

                              Crikey. I thought this was well known. Just do this:

                              if (x & (x-1))
                              {
                                // x is <edit>not</edit>a power of two
                              }
                              else
                              {
                                // x is <edit>not</edit> a power of two
                              }

                              sorry, got the two cases round the wrong way... :-O

                              Ryan

                              "Punctuality is only a virtue for those who aren't smart enough to think of good excuses for being late" John Nichol "Point Of Impact"

                              -- modified at 6:04 Monday 6th March, 2006

                              R Offline
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                              RichardS
                              wrote on last edited by
                              #29

                              Hi Ryan, Is there is quick way for now making x a power of 2 after you have decided that it is not? regards, Rich "Programming today is a race between software engineers striving to build bigger and better idiot-proof programs, and the Universe trying to produce bigger and better idiots. So far the Universe is winning." -- Rich Cook

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                              • T toxcct

                                :sigh:

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                                Stephen Hewitt
                                wrote on last edited by
                                #30

                                Modified version is still wrong - It will treat any integer as a power of 2. Steve

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                                • S Stephen Hewitt

                                  Modified version is still wrong - It will treat any integer as a power of 2. Steve

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                                  toxcct
                                  wrote on last edited by
                                  #31

                                  i did not pretend to modified my post for a much working stuff...

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                                  • R RichardS

                                    Hi All, Is there a fast way of checking to see if an int is a power of 2 (i.e. 2, 4, 8, 16, 1024)? I know the long way using a loop, but I was hoping for a simple way of doing this. regards, Rich "Programming today is a race between software engineers striving to build bigger and better idiot-proof programs, and the Universe trying to produce bigger and better idiots. So far the Universe is winning." -- Rich Cook

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                                    David Crow
                                    wrote on last edited by
                                    #32

                                    #define ISPOWER2(x) (!((x)&((x)-1)))


                                    "Let us be thankful for the fools. But for them the rest of us could not succeed." - Mark Twain

                                    "There is no death, only a change of worlds." - Native American Proverb

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                                    • R Russell

                                      Read this function, it could be another start point! This function that I wrote last year find the bigger long, greater than the input value, that is a power of 2. And it is quite fast!:) unsigned long Next2Power(unsigned long x){ unsigned long y=1, x1=x; if(x==0) return 0; while(x1!=0){ x1>>=1; y<<=1; } y>>=1; if(y!=x) y<<=1; return y; }

                                      Have a nice code day ;)

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                                      David Crow
                                      wrote on last edited by
                                      #33

                                      _Russell_ wrote:

                                      This function that I wrote last year find the bigger long, greater than the input value, that is a power of 2.

                                      Why not just use log2()?


                                      "Let us be thankful for the fools. But for them the rest of us could not succeed." - Mark Twain

                                      "There is no death, only a change of worlds." - Native American Proverb

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                                      0
                                      • R RichardS

                                        Hi Ryan, Is there is quick way for now making x a power of 2 after you have decided that it is not? regards, Rich "Programming today is a race between software engineers striving to build bigger and better idiot-proof programs, and the Universe trying to produce bigger and better idiots. So far the Universe is winning." -- Rich Cook

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                                        R Offline
                                        Ryan Binns
                                        wrote on last edited by
                                        #34

                                        RichardS wrote:

                                        Is there is quick way for now making x a power of 2 after you have decided that it is not?

                                        Not that I know of. I've never had to do this. Would you round up or down?

                                        Ryan

                                        "Punctuality is only a virtue for those who aren't smart enough to think of good excuses for being late" John Nichol "Point Of Impact"

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                                        • R Ryan Binns

                                          RichardS wrote:

                                          Is there is quick way for now making x a power of 2 after you have decided that it is not?

                                          Not that I know of. I've never had to do this. Would you round up or down?

                                          Ryan

                                          "Punctuality is only a virtue for those who aren't smart enough to think of good excuses for being late" John Nichol "Point Of Impact"

                                          R Offline
                                          R Offline
                                          RichardS
                                          wrote on last edited by
                                          #35

                                          Round up. So far I have a loop (for 32-bits) shifting 0x80000000 down until the & with x is successful, then shifting it back up by one. regards, Rich "Programming today is a race between software engineers striving to build bigger and better idiot-proof programs, and the Universe trying to produce bigger and better idiots. So far the Universe is winning." -- Rich Cook

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