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Power of 2

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  • T toxcct

    :sigh:

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    Stephen Hewitt
    wrote on last edited by
    #8

    2^3 = 8 but floor(sqrt(8)) != sqrt(8)? Steve

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    • C Cedric Moonen

      I think you will have problems when comparinf the floats, due to the precision.

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      toxcct
      wrote on last edited by
      #9

      true, but that was a starting point. it would be better to use double at least, but still remains the precision problem.

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      • D Divyang Mithaiwala

        Hello RichardS, Try this one.

        double val = 0.0;
        val = log10(y) / log10(2.0);
        
        //Check that 'val' is pure int (Here you use ur own code is u optimize)
        int val2 = int(val);
        
        if (val == val2) 
             // y is power of 2
        else
             // y is not power of 2
        

        here 'y' is value u want to check for power of 2. Best of luck


        Divyang Mithaiwala System Engineer & Software Developer

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        toxcct
        wrote on last edited by
        #10

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

        D 1 Reply Last reply
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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

          B Offline
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          BadKarma
          wrote on last edited by
          #11

          Hi, you could use ::log to check if its a power of 2 math: y = 2^x -> x = log(y)/log(2) so you can use:

          int y = 1024;
          if(y == (int)(::pow(2.0, ::floor(::log((double)y)/::log(2.0)))))
          {
            //  true
          }
          else
          {
            // false
          }
          

          but his is heavy processing, so it mith be slower that the for loop codito ergo sum

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          • D Divyang Mithaiwala

            Hello RichardS, Try this one.

            double val = 0.0;
            val = log10(y) / log10(2.0);
            
            //Check that 'val' is pure int (Here you use ur own code is u optimize)
            int val2 = int(val);
            
            if (val == val2) 
                 // y is power of 2
            else
                 // y is not power of 2
            

            here 'y' is value u want to check for power of 2. Best of luck


            Divyang Mithaiwala System Engineer & Software Developer

            D Offline
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            Divyang Mithaiwala
            wrote on last edited by
            #12

            Here logic is simple y = value that want to check x = find a value that is in power of 2 so,

            2^x = y
            log 2^x = log y
            x log 2 = log y

            x = log y /log 2


            Divyang Mithaiwala System Engineer & Software Developer

            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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              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.

              R 1 Reply Last reply
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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

                R Offline
                R Offline
                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

                    R 1 Reply Last reply
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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.

                      R Offline
                      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"

                          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"

                                  S 1 Reply Last reply
                                  0
                                  • 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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