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Groups > comp.lang.python > #88575

Re: Best search algorithm to find condition within a range

Date 2015-04-07 09:29 -0400
From Dave Angel <davea@davea.name>
Subject Re: Best search algorithm to find condition within a range
References <2e3a3c01-20b3-4948-9b32-bd80ed46822b@googlegroups.com>
Newsgroups comp.lang.python
Message-ID <mailman.89.1428413413.12925.python-list@python.org> (permalink)

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On 04/07/2015 05:44 AM, jonas.thornvall@gmail.com wrote:
>
>
> I want todo faster baseconversion for very big bases like base 1 000 000, so instead of adding up digits i search it.

For this and most of the following statements:  I can almost guess what 
you're trying to say.  However, I cannot.  No idea why you're adding up 
digits, that sounds like casting out nines.  And in base-N, that would 
be casting out (N-1)'s.

What's the it you're trying to search?

How do you know the baseconversion is the bottleneck, if you haven't 
written any Python code yet?


>
> I need the fastest algorithm to find the relation to a decimal number.

What relation would that be?  Between what and what?

> Digmult is an instance of base at a digitplace (base^x) what i try to find is the digit for the below condition is true and the loop break.
>

You haven't defined a class "Base" yet.  In fact, I don't see any Python 
code in the whole message.

>
> *********************************
> for (digit=0;digit<=base;digit++) {
>         if((digit+1)*digmult>decNumber)break;
> }
> *********************************


>
> So i am looking for the digit where following condition true.
>
> if((digit)*digmult<decNumber) AND if((digit+1)*digmult>decNumber) then BREAK;

You could try integer divide.  That's just something like
      digit = decNumber // digmult
But if you think hard enough you'd realize that


>
> One could start at half base searching, but then i Think i've read that using 1/3 closing in faster?
>
> I Think also i remember that if the search space so big that at least 22 or 23 guesses, needed.A random Oracle may even faster?
>
> Just pick up a number and get lucky, is it any truth to that?
>
> Below the actual algorithm.
>
>
>
> <SCRIPT LANGUAGE="Javascript">
> //CONVERT A DECIMAL NUMBER INTO ANYBASE
> function newbase(decNumber,base){
> digits=1;
> digmult=1;
> while(digmult*base<=decNumber){
>          digmult=digmult*base
>          digits++;
> }
> digsave=digmult;
> while(decNumber>0 || digits>0){
>          loop=1;
>          digit=0;
>                 for (digit=0;digit<=base;digit++) {
>          if((digit+1)*digmult>decNumber)break;
>                 }
>          out[digits]=digit;
>          digmult=digmult*digit;
>          decNumber=decNumber-digmult;
>          digsave=digsave/base;
>          digmult=digsave;
>          digits--;
>          }
> return out;
> }
>
> var out= [];
> base=256;
> number=854544;
> out=newbase(number,base);
> out.reverse();
> document.write("Number = ",out,"<BR>");
> </script>
>

If that code were in Python, I could be more motivated to critique it. 
The whole algorithm could be much simpler.  But perhaps there is some 
limitation of javascript that's crippling the code.

How would you do it if you were converting the base by hand?  I 
certainly wouldn't be doing any trial and error.  For each pass, I'd 
calculate quotient and remainder, where remainder is the digit, and 
quotient is the next value you work on.


-- 
DaveA

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Thread

Best search algorithm to find condition within a range jonas.thornvall@gmail.com - 2015-04-07 02:44 -0700
  Re: Best search algorithm to find condition within a range Dave Angel <davea@davea.name> - 2015-04-07 09:29 -0400
    Re: Best search algorithm to find condition within a range jonas.thornvall@gmail.com - 2015-04-07 07:10 -0700
      Re: Best search algorithm to find condition within a range Dave Angel <davea@davea.name> - 2015-04-07 10:26 -0400
      Re: Best search algorithm to find condition within a range Chris Angelico <rosuav@gmail.com> - 2015-04-08 00:34 +1000
    Re: Best search algorithm to find condition within a range Denis McMahon <denismfmcmahon@gmail.com> - 2015-04-07 14:29 +0000
      Re: Best search algorithm to find condition within a range jonas.thornvall@gmail.com - 2015-04-07 07:36 -0700
        Re: Best search algorithm to find condition within a range Chris Angelico <rosuav@gmail.com> - 2015-04-08 00:49 +1000
          Re: Best search algorithm to find condition within a range Grant Edwards <invalid@invalid.invalid> - 2015-04-07 15:05 +0000
            Re: Best search algorithm to find condition within a range Dave Angel <davea@davea.name> - 2015-04-07 11:23 -0400
            Re: Best search algorithm to find condition within a range Chris Angelico <rosuav@gmail.com> - 2015-04-08 01:37 +1000
            Re: Best search algorithm to find condition within a range MRAB <python@mrabarnett.plus.com> - 2015-04-07 17:02 +0100
        Re: Best search algorithm to find condition within a range MRAB <python@mrabarnett.plus.com> - 2015-04-07 16:00 +0100
          Re: Best search algorithm to find condition within a range jonas.thornvall@gmail.com - 2015-04-07 08:43 -0700
            Re: Best search algorithm to find condition within a range Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2015-04-08 08:51 +1000
              Re: Best search algorithm to find condition within a range Chris Angelico <rosuav@gmail.com> - 2015-04-08 11:46 +1000
        Re: Best search algorithm to find condition within a range Dave Angel <davea@davea.name> - 2015-04-07 11:04 -0400
        Re: Best search algorithm to find condition within a range Ian Kelly <ian.g.kelly@gmail.com> - 2015-04-07 09:06 -0600
          Re: Best search algorithm to find condition within a range jonas.thornvall@gmail.com - 2015-04-07 08:47 -0700
            Re: Best search algorithm to find condition within a range Dennis Lee Bieber <wlfraed@ix.netcom.com> - 2015-04-07 20:06 -0400
            Re: Best search algorithm to find condition within a range Gregory Ewing <greg.ewing@canterbury.ac.nz> - 2015-04-08 12:49 +1200
        Re: Best search algorithm to find condition within a range Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2015-04-08 08:36 +1000
          Re: Best search algorithm to find condition within a range Cameron Simpson <cs@zip.com.au> - 2015-04-08 08:51 +1000
        Re: Best search algorithm to find condition within a range Dennis Lee Bieber <wlfraed@ix.netcom.com> - 2015-04-07 20:01 -0400
        Re: Best search algorithm to find condition within a range albert@spenarnc.xs4all.nl (Albert van der Horst) - 2015-04-18 18:08 +0000
          Re: Best search algorithm to find condition within a range Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2015-04-19 23:02 +1000
            Re: Best search algorithm to find condition within a range Marko Rauhamaa <marko@pacujo.net> - 2015-04-19 17:56 +0300
              Re: Best search algorithm to find condition within a range Gene Heskett <gheskett@wdtv.com> - 2015-04-19 11:17 -0400
              Re: Best search algorithm to find condition within a range Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2015-04-20 12:53 +1000
            Re: Best search algorithm to find condition within a range Dave Angel <davea@davea.name> - 2015-04-19 14:52 -0400
            Re: Best search algorithm to find condition within a range Paul Rubin <no.email@nospam.invalid> - 2015-04-19 13:44 -0700
            Re: Best search algorithm to find condition within a range albert@spenarnc.xs4all.nl (Albert van der Horst) - 2015-04-25 14:49 +0000
      Re: Best search algorithm to find condition within a range jonas.thornvall@gmail.com - 2015-04-07 09:18 -0700
  Re: Best search algorithm to find condition within a range Ian Kelly <ian.g.kelly@gmail.com> - 2015-04-07 08:32 -0600
    Re: Best search algorithm to find condition within a range jonas.thornvall@gmail.com - 2015-04-07 08:40 -0700
      Re: Best search algorithm to find condition within a range Dave Angel <davea@davea.name> - 2015-04-07 12:33 -0400
        Re: Best search algorithm to find condition within a range jonas.thornvall@gmail.com - 2015-04-07 10:07 -0700
          Re: Best search algorithm to find condition within a range Ian Kelly <ian.g.kelly@gmail.com> - 2015-04-07 11:44 -0600
            Re: Best search algorithm to find condition within a range Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2015-04-08 10:38 +1000
              Re: Best search algorithm to find condition within a range Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2015-04-08 11:18 +1000
                Re: Best search algorithm to find condition within a range Ian Kelly <ian.g.kelly@gmail.com> - 2015-04-08 08:37 -0600
              Re: Best search algorithm to find condition within a range jonas.thornvall@gmail.com - 2015-04-07 23:19 -0700
                Re: Best search algorithm to find condition within a range Mel Wilson <mwilson@the-wire.com> - 2015-04-08 13:39 +0000
                Re: Best search algorithm to find condition within a range jonas.thornvall@gmail.com - 2015-04-08 07:56 -0700
                Re: Best search algorithm to find condition within a range Mel Wilson <mwilson@the-wire.com> - 2015-04-08 17:33 +0000
                Re: Best search algorithm to find condition within a range jonas.thornvall@gmail.com - 2015-04-08 12:28 -0700
                Re: Best search algorithm to find condition within a range jonas.thornvall@gmail.com - 2015-04-08 12:36 -0700
                Re: Best search algorithm to find condition within a range Mark Lawrence <breamoreboy@yahoo.co.uk> - 2015-04-08 21:28 +0100
                Re: Best search algorithm to find condition within a range Mark Lawrence <breamoreboy@yahoo.co.uk> - 2015-04-08 21:29 +0100
          Re: Best search algorithm to find condition within a range Terry Reedy <tjreedy@udel.edu> - 2015-04-07 14:55 -0400
          Re: Best search algorithm to find condition within a range Ian Kelly <ian.g.kelly@gmail.com> - 2015-04-07 13:19 -0600
            Re: Best search algorithm to find condition within a range Ben Bacarisse <ben.usenet@bsb.me.uk> - 2015-04-07 20:27 +0100
              Re: Best search algorithm to find condition within a range jonas.thornvall@gmail.com - 2015-04-07 15:35 -0700
                Re: Best search algorithm to find condition within a range Dave Angel <davea@davea.name> - 2015-04-07 20:38 -0400
                Re: Best search algorithm to find condition within a range Ian Kelly <ian.g.kelly@gmail.com> - 2015-04-07 17:35 -0600
                Re: Best search algorithm to find condition within a range jonas.thornvall@gmail.com - 2015-04-08 00:28 -0700
                Re: Best search algorithm to find condition within a range Ian Kelly <ian.g.kelly@gmail.com> - 2015-04-08 08:35 -0600
                Re: Best search algorithm to find condition within a range jonas.thornvall@gmail.com - 2015-04-08 00:35 -0700
          Re: Best search algorithm to find condition within a range Chris Angelico <rosuav@gmail.com> - 2015-04-08 05:25 +1000
          Re: Best search algorithm to find condition within a range Ian Kelly <ian.g.kelly@gmail.com> - 2015-04-07 13:28 -0600
          Re: Best search algorithm to find condition within a range Serhiy Storchaka <storchaka@gmail.com> - 2015-04-07 23:57 +0300
          Re: Best search algorithm to find condition within a range Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2015-04-08 10:18 +1000
            Re: Best search algorithm to find condition within a range Marko Rauhamaa <marko@pacujo.net> - 2015-04-08 07:31 +0300
      Re: Best search algorithm to find condition within a range Ian Kelly <ian.g.kelly@gmail.com> - 2015-04-07 14:15 -0600
      Re: Best search algorithm to find condition within a range Mark Lawrence <breamoreboy@yahoo.co.uk> - 2015-04-07 21:42 +0100
    Re: Best search algorithm to find condition within a range Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2015-04-08 08:55 +1000
      Re: Best search algorithm to find condition within a range Ian Kelly <ian.g.kelly@gmail.com> - 2015-04-07 17:30 -0600
  Re: Best search algorithm to find condition within a range Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2015-04-08 08:57 +1000
    Re: Best search algorithm to find condition within a range Gregory Ewing <greg.ewing@canterbury.ac.nz> - 2015-04-08 12:59 +1200
      Re: Best search algorithm to find condition within a range Mark Lawrence <breamoreboy@yahoo.co.uk> - 2015-04-08 02:39 +0100
      Re: Best search algorithm to find condition within a range jonas.thornvall@gmail.com - 2015-04-07 23:12 -0700
    Re: Best search algorithm to find condition within a range Chris Angelico <rosuav@gmail.com> - 2015-04-08 11:49 +1000
      Re: Best search algorithm to find condition within a range Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2015-04-09 12:32 +1000
        Re: Best search algorithm to find condition within a range Chris Angelico <rosuav@gmail.com> - 2015-04-09 12:39 +1000
          Re: Best search algorithm to find condition within a range wxjmfauth@gmail.com - 2015-04-08 23:14 -0700
    Re: Best search algorithm to find condition within a range jonas.thornvall@gmail.com - 2015-04-07 22:50 -0700
    Re: Best search algorithm to find condition within a range wxjmfauth@gmail.com - 2015-04-07 23:07 -0700
      Re: Best search algorithm to find condition within a range wxjmfauth@gmail.com - 2015-04-07 23:18 -0700
        Re: Best search algorithm to find condition within a range Denis McMahon <denismfmcmahon@gmail.com> - 2015-04-08 17:27 +0000
          Re: Best search algorithm to find condition within a range wxjmfauth@gmail.com - 2015-04-08 10:50 -0700
    Re: Best search algorithm to find condition within a range BartC <bc@freeuk.com> - 2015-04-08 22:22 +0100
      Re: Best search algorithm to find condition within a range Marko Rauhamaa <marko@pacujo.net> - 2015-04-09 01:06 +0300
        Re: Best search algorithm to find condition within a range Chris Kaynor <ckaynor@zindagigames.com> - 2015-04-08 17:01 -0700
        Re: Best search algorithm to find condition within a range BartC <bc@freeuk.com> - 2015-04-09 10:19 +0100
          Re: Best search algorithm to find condition within a range Marko Rauhamaa <marko@pacujo.net> - 2015-04-09 13:00 +0300
            Re: Best search algorithm to find condition within a range Alain Ketterlin <alain@dpt-info.u-strasbg.fr> - 2015-04-09 13:57 +0200
              Re: Best search algorithm to find condition within a range Marko Rauhamaa <marko@pacujo.net> - 2015-04-09 15:45 +0300
                Re: Best search algorithm to find condition within a range Alain Ketterlin <alain@dpt-info.u-strasbg.fr> - 2015-04-09 14:56 +0200
                Re: Best search algorithm to find condition within a range Dave Angel <davea@davea.name> - 2015-04-09 09:19 -0400
                Re: Best search algorithm to find condition within a range Marko Rauhamaa <marko@pacujo.net> - 2015-04-09 16:33 +0300
                Re: Best search algorithm to find condition within a range Marko Rauhamaa <marko@pacujo.net> - 2015-04-09 16:49 +0300
                Re: Best search algorithm to find condition within a range Alain Ketterlin <alain@dpt-info.u-strasbg.fr> - 2015-04-09 15:57 +0200
                Re: Best search algorithm to find condition within a range Chris Angelico <rosuav@gmail.com> - 2015-04-10 00:08 +1000
                Re: Best search algorithm to find condition within a range Alain Ketterlin <alain@dpt-info.u-strasbg.fr> - 2015-04-09 16:53 +0200
                Re: Best search algorithm to find condition within a range Chris Angelico <rosuav@gmail.com> - 2015-04-10 01:02 +1000
                Re: Best search algorithm to find condition within a range jonas.thornvall@gmail.com - 2015-04-09 08:12 -0700
                Re: Best search algorithm to find condition within a range Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2015-04-10 01:21 +1000
                Re: Best search algorithm to find condition within a range Chris Angelico <rosuav@gmail.com> - 2015-04-10 01:36 +1000
                Re: Best search algorithm to find condition within a range MRAB <python@mrabarnett.plus.com> - 2015-04-09 17:40 +0100
                Re: Best search algorithm to find condition within a range jonas.thornvall@gmail.com - 2015-04-09 07:54 -0700
                Re: Best search algorithm to find condition within a range Ian Kelly <ian.g.kelly@gmail.com> - 2015-04-09 09:03 -0600
                Re: Best search algorithm to find condition within a range jonas.thornvall@gmail.com - 2015-04-09 08:21 -0700
                Re: Best search algorithm to find condition within a range Ian Kelly <ian.g.kelly@gmail.com> - 2015-04-09 10:23 -0600
                Re: Best search algorithm to find condition within a range Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2015-04-10 01:11 +1000
                Re: Best search algorithm to find condition within a range Chris Angelico <rosuav@gmail.com> - 2015-04-10 01:34 +1000
                Re: Best search algorithm to find condition within a range Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2015-04-10 02:15 +1000
                Re: Best search algorithm to find condition within a range Chris Angelico <rosuav@gmail.com> - 2015-04-10 02:36 +1000
                Re: Best search algorithm to find condition within a range Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2015-04-10 03:49 +1000
                Re: Best search algorithm to find condition within a range Marko Rauhamaa <marko@pacujo.net> - 2015-04-09 19:25 +0300
                Re: Best search algorithm to find condition within a range Chris Angelico <rosuav@gmail.com> - 2015-04-10 02:43 +1000
                Re: Best search algorithm to find condition within a range Grant Edwards <invalid@invalid.invalid> - 2015-04-09 16:53 +0000
                Re: Best search algorithm to find condition within a range Chris Angelico <rosuav@gmail.com> - 2015-04-10 03:00 +1000
                Re: Best search algorithm to find condition within a range Grant Edwards <invalid@invalid.invalid> - 2015-04-09 17:44 +0000
                Re: Best search algorithm to find condition within a range Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2015-04-10 03:41 +1000
                Re: Best search algorithm to find condition within a range Chris Angelico <rosuav@gmail.com> - 2015-04-10 04:07 +1000
                Re: Best search algorithm to find condition within a range Marko Rauhamaa <marko@pacujo.net> - 2015-04-09 21:14 +0300
                Re: Best search algorithm to find condition within a range Marko Rauhamaa <marko@pacujo.net> - 2015-04-09 21:11 +0300
                Re: Best search algorithm to find condition within a range Marko Rauhamaa <marko@pacujo.net> - 2015-04-09 20:43 +0300
                Re: Best search algorithm to find condition within a range Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2015-04-10 03:35 +1000
                Re: Best search algorithm to find condition within a range Chris Angelico <rosuav@gmail.com> - 2015-04-10 03:56 +1000
                Re: Best search algorithm to find condition within a range Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2015-04-10 23:18 +1000
                Re: Best search algorithm to find condition within a range Chris Angelico <rosuav@gmail.com> - 2015-04-10 23:41 +1000
                Re: Best search algorithm to find condition within a range Marko Rauhamaa <marko@pacujo.net> - 2015-04-09 21:15 +0300
                Re: Best search algorithm to find condition within a range Rustom Mody <rustompmody@gmail.com> - 2015-04-10 09:39 -0700
                Re: Best search algorithm to find condition within a range Marko Rauhamaa <marko@pacujo.net> - 2015-04-09 16:28 +0300

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