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Power of 2

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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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    Taka Muraoka
    wrote on last edited by
    #13

    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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    • 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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      Ryan Binns
      wrote on last edited by
      #14

      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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      • R RichardS

        Yip, this was my way to begin with. 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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        Russell
        wrote on last edited by
        #15

        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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        • 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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            R Offline
            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"

            1 Reply Last reply
            0
            • 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"

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                • 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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                                • 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

                                  1 Reply Last reply
                                  0
                                  • 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
                                    R Offline
                                    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...

                                        1 Reply Last reply
                                        0
                                        • 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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