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Re: Linear time baseconversion

Newsgroups comp.lang.python
Date 2015-06-30 02:34 -0700
References (1 earlier) <CALwzidms2BGRjHCuLB5_uszbx9Q-rdtOob_LGHQoO3K3ZD=Q7Q@mail.gmail.com> <mailman.175.1435619500.3674.python-list@python.org> <87r3ouawgt.fsf@bsb.me.uk> <7c6dac9d-5722-4179-bd7e-ceaac6698490@googlegroups.com> <mmtm6k$8b7$1@dont-email.me>
Message-ID <c92c3dc9-8a00-4244-bbd7-383f34983935@googlegroups.com> (permalink)
Subject Re: Linear time baseconversion
From jonas.thornvall@gmail.com

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Den tisdag 30 juni 2015 kl. 11:08:01 UTC+2 skrev Christian Gollwitzer:
> Am 30.06.15 um 10:52 schrieb jonas.thornvall@gmail.com:
> > It still bug out on very big numbers if base outside integer scope.
> > I am very keen on suggestions regarding the logic to make it faster.
> 
> Concerning the algorithmic complexity, it can't be faster than square 
> time in the number of digits N. Baseconversion needs to do a sequence of 
> division operations, where every operation gves you one digit in the new 
> base. The number of digits in the new base is proportional to the number 
> of digits in the old base (the ratio is log b1/log b2). Therefore it 
> will be O(N^2).
> 
> 	Christian

Any new digit will be found in SQRT(base) comparissons. 
Averaged case will be in (SQRT(base)*(SQRT(base)+1))/2

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Linear time baseconversion jonas.thornvall@gmail.com - 2015-06-29 15:39 -0700
  Re: Linear time baseconversion Ian Kelly <ian.g.kelly@gmail.com> - 2015-06-29 16:56 -0600
  Re: Linear time baseconversion Ian Kelly <ian.g.kelly@gmail.com> - 2015-06-29 17:10 -0600
    Re: Linear time baseconversion jonas.thornvall@gmail.com - 2015-06-29 16:23 -0700
    Re: Linear time baseconversion Ben Bacarisse <ben.usenet@bsb.me.uk> - 2015-06-30 01:09 +0100
      Re: Linear time baseconversion jonas.thornvall@gmail.com - 2015-06-30 01:52 -0700
        Re: Linear time baseconversion Christian Gollwitzer <auriocus@gmx.de> - 2015-06-30 11:07 +0200
          Re: Linear time baseconversion jonas.thornvall@gmail.com - 2015-06-30 02:20 -0700
          Re: Linear time baseconversion jonas.thornvall@gmail.com - 2015-06-30 02:34 -0700
            Re: Linear time baseconversion jonas.thornvall@gmail.com - 2015-06-30 02:43 -0700
              Re: Linear time baseconversion jonas.thornvall@gmail.com - 2015-06-30 06:22 -0700
                Re: Linear time baseconversion jonas.thornvall@gmail.com - 2015-06-30 07:13 -0700
                Re: Linear time baseconversion Ian Kelly <ian.g.kelly@gmail.com> - 2015-06-30 09:29 -0600
          Re: Linear time baseconversion Ian Kelly <ian.g.kelly@gmail.com> - 2015-06-30 09:45 -0600
          Re: Linear time baseconversion Ian Kelly <ian.g.kelly@gmail.com> - 2015-06-30 09:40 -0600
            Re: Linear time baseconversion Christian Gollwitzer <auriocus@gmx.de> - 2015-07-01 00:22 +0200
          Re: Linear time baseconversion Chris Angelico <rosuav@gmail.com> - 2015-07-01 02:10 +1000
          Re: Linear time baseconversion Ian Kelly <ian.g.kelly@gmail.com> - 2015-06-30 10:34 -0600
            Re: Linear time baseconversion Christian Gollwitzer <auriocus@gmx.de> - 2015-07-01 00:27 +0200
    Re: Linear time baseconversion jonas.thornvall@gmail.com - 2015-06-29 23:49 -0700
  Re: Linear time baseconversion Michael Torrie <torriem@gmail.com> - 2015-06-30 10:12 -0600
    Re: Linear time baseconversion jonas.thornvall@gmail.com - 2015-06-30 09:24 -0700
      Re: Linear time baseconversion Michael Torrie <torriem@gmail.com> - 2015-06-30 13:55 -0600

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