Re: Counting number of numbers in a large list between two valus

• To: mathgroup at smc.vnet.net
• Subject: [mg114537] Re: Counting number of numbers in a large list between two valus
• From: Lyle Gordon <lgordon at gmail.com>
• Date: Tue, 7 Dec 2010 06:45:32 -0500 (EST)

```Thanks everyone for your responses, it seems like Carl's and Fred's method
with Total-Unitize-Clip is the fastest.

Thanks very much,
Lyle

--
Lyle Gordon
Department of Materials Science and Engineering
Northwestern University

2220 Campus Drive
Evanston, IL 60208

Tel: (847) 491-3584
Mobile: (847) 400-4071
lgordon at u.northwestern.edu

On Mon, Dec 6, 2010 at 5:33 AM, Leonid Shifrin <lshifr at gmail.com> wrote:

> Hi Lyle,
>
> Sorry - I misunderstood the problem. I thought you meant the positional
> arrangement
> of the numbers.  Since you seem to be getting plenty of good answers, I
> will not attempt
> to correct myself with more code.
>
>
> Regards,
> Leonid
>
>
> On Mon, Dec 6, 2010 at 5:57 AM, Lyle <lgordon at gmail.com> wrote:
>
>> Dear Listers,
>>
>> I have a large (5-20million) one dimensional list of real numbers and
>> I want to count the number of entries in the list that lie between 2
>> specific values (x1, x2). I need to run the function for a number of
>> different ranges.
>>
>> ie. number of list entries (l), where x1 <= l <= x2
>>
>> I've tried:
>>
>> tallydata[{x1_, x2_}] := Count[data, x_ /; x1 <= x <= x2]
>>
>> that takes about 3-4 seconds
>>
>> and
>>
>> tallydata[{x1_, x2_}] := Length[Select[data, x1 <= # <= x2 &]]
>>
>> which takes a little bit longer.
>>
>> The best I've managed is (this last one might be off by 1 or 2 but
>> this doesn't really matter to me):
>>
>> sorteddata = Sort[data];
>> nf = Nearest[sorteddata];
>> tallyrange[{x1_, x2_}] :=
>>  First[Position[sorteddata, First[nf[x2]]]] -
>>  First[Position[sorteddata, First[nf[x1]]]]
>>
>> which takes between 1 and 2 seconds but I was hoping there might be a
>> faster way to do this?
>>
>> Any help would be great!
>>
>> Thanks,
>> Lyle Gordon
>>
>> Northwestern University
>>
>>
>

```

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