Linear time baseconversion

jonas.thornvall at gmail.com jonas.thornvall at gmail.com
Tue Jun 30 05:34:56 EDT 2015


Den tisdag 30 juni 2015 kl. 11:08:01 UTC+2 skrev Christian Gollwitzer:
> Am 30.06.15 um 10:52 schrieb jonas.thornvall at 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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