Re: Integer Length Count

• To: mathgroup at smc.vnet.net
• Subject: [mg128761] Re: Integer Length Count
• From: James Stein <mathgroup at stein.org>
• Date: Sat, 24 Nov 2012 02:25:46 -0500 (EST)
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• References: <20121123082854.1CF386932@smc.vnet.net>

```I think this meets your problem description:

Tally [ integerList // IntegerLength ]

Example:

f [ n_ ] := Module [ {maxInt, nInts, list },
maxInt = 1000000000;
nInts = n;
list = RandomInteger [ { 0, maxInt }, nInts ] ;
Tally [ list // IntegerLength ] // Sort  // AbsoluteTiming
] ;
f[10]

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 ).

HTH

On Fri, Nov 23, 2012 at 12:28 AM, <sylviehobbs at comcast.net> 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=
W TIME!
>
>
>
> Meanwhile, let me know any recommendations you have on a Mathematica func=
tion that parallels the SAS Function.
>
>
>
> Sylvia Hobbs
>

```

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