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Re: Improve speed calculations?

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Silvio <silvio@internet.com> writes:

> On 01/11/2016 02:28 PM, Ben Bacarisse wrote:
>> jonas.thornvall@gmail.com writes:
>>
>>> Den söndag 10 januari 2016 kl. 14:33:27 UTC+1 skrev jonas.t...@gmail.com:
>>>> <script language="Javascript">
>> <snip code>
>>> http://jt.node365.se/BAUTABASE.html
>>>
>>> Using the biggest base possible adding "4503599627370495" encoding
>>> fibonacci in javascript without overflow.
>>>
>>> Also fixed ambiguity reading out the numbers in bases over ten by
>>> using separator for digitplaces. The add can not cause overflow but to
>>> get rid of base overflow would require some real deep thinking.
>>>
>>> The 100000th Fibonacci took 34 seconds i do not think i can get it
>>> much faster in javascript if your a wizard please prove me wrong.
>>
>> I have not tried your code, but I've just written a quick bignum add
>> function and I can get fib(100000) in about 3.5 seconds.  If I have time
>> to unravel yours, I'll do a comparative test.  Note that a language with
>> a good bignum type (Haskell, for example) will do it in less than 100th
>> of a second.
>>
>> Note that your 'challenge' makes it easy to optimise the code.  For
>> example, using a power of 10 as the base makes the conversion for
>> printing very simple.
>>
>
> That is well neigh impossible if you used a 10-based decimal since
> Jonas uses a huge base and is convinced that using a larger base will
> make computations much faster. Your result would invalidate that
> claim...

Using base 10 is quite slow (my code needs 23s for fib(100000) using
base 10), but I use a higher power of 10 as the base for speed whilst
keeping printing simple.  With higher powers, you do get faster results
(up to a limit, of course!).

-- 
Ben.

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Improve speed calculations? jonas.thornvall@gmail.com - 2016-01-10 05:33 -0800
  Re: Improve speed calculations? jonas.thornvall@gmail.com - 2016-01-11 03:19 -0800
    Re: Improve speed calculations? jonas.thornvall@gmail.com - 2016-01-11 04:41 -0800
    Re: Improve speed calculations? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2016-01-11 13:28 +0000
      Re: Improve speed calculations? Silvio <silvio@internet.com> - 2016-01-11 15:41 +0100
        Re: Improve speed calculations? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2016-01-11 15:44 +0000
          Re: Improve speed calculations? jonas.thornvall@gmail.com - 2016-01-11 07:53 -0800
          Re: Improve speed calculations? jonas.thornvall@gmail.com - 2016-01-11 07:56 -0800
          Re: Improve speed calculations? jonas.thornvall@gmail.com - 2016-01-11 08:28 -0800
      Re: Improve speed calculations? jonas.thornvall@gmail.com - 2016-01-11 06:48 -0800

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