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Re: Integer Length Count

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  • Subject: [mg128761] Re: Integer Length Count
  • From: James Stein <mathgroup at>
  • Date: Sat, 24 Nov 2012 02:25:46 -0500 (EST)
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I think this meets your problem description:

    Tally [ integerList // IntegerLength ]


   f [ n_ ] := Module [ {maxInt, nInts, list },
   maxInt = 1000000000;
   nInts = n;
   list = RandomInteger [ { 0, maxInt }, nInts ] ;
   Tally [ list // IntegerLength ] // Sort  // AbsoluteTiming
   ] ;

The good news: f [ one hundred million ] runs in under 7 seconds (on
my computer).
The bad news:   f [ one billion ] hangs (or runs inordinately long ).


On Fri, Nov 23, 2012 at 12:28 AM, <sylviehobbs at> wrote:
> I use a function in SAS that takes, in my case, a billion different integ=
ers of varying length and counts the frequency of the length of each intege=
r by converting the digits in the integers into alpha characters and counti=
ng the frequency of the right most position of the alpha character.
> I am trying to do more and more routine programming in Mathematica and af=
ter poking around in documentation for the past 4 hours have yet to find th=
e parallel function in Mathematica for counting the integer frequency lengt=
h in a big data set. My family wants me to drop everything and put the Turk=
ey in the oven. My cat Sylvester even fell asleep on his back in front of t=
he refrigerator with his little legs up in the air, so he want miss the tra=
nsfer of the Turkey from the stove to the refrigerator. OH WELL -- IT'S SHO=
> Meanwhile, let me know any recommendations you have on a Mathematica func=
tion that parallels the SAS Function.
> Sylvia Hobbs

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