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Subject: Re: fast normalization

Author: Ricardo Gibert

Date: 07:06:53 10/31/03

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On October 31, 2003 at 09:04:41, Charles Roberson wrote:

>
>   I have a list of numbers that I wanted to normalize to the range of 0-100.
>   The numbers are integers so the obvious thought is
>      find largest
>      foreach number
>         number = number*100/largest

Since the "/largest" does not change within the loop, it can be moved outside
the loop. In this way, only 1 division is performed for all the numbers of the
set. Acceptable if the set is large. Making this idea work requires some
elaboration, but is quite workable.

>
>    However, division is slow. So, I dropped the range to 0-64 and
>     came up with the following:
>         find largest
>         n = 7;
>         if largest > 64
>            n = highorder bit position (largest) + 1;
>         foreach number
>             number = number>>n
>
>     In some cases the range will be 0-32 but that is ok.
>     Seems this should be fast and I haven't thought of anything faster.



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