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Re: Using Java Classes to Sort a Small Array Quickly

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On 9/11/2011 11:30 PM, Lew wrote:
> Arne Vajhøj wrote:
>> Wanja Gayk wrote:
>>> esosman@ieee-dot-org.invalid says...
>>>> Wanja Gayk wrote:
>>>>> Here's the proof: Sorting an array of positive integers in O(n) time:
> ...
>>>>        Very nice!  Would you care to try this approach on a shorter
>>>> input array, like
>>>>
>>>> 	data = new int[] { Integer.MAX_VALUE };
>>>>
>>>> This case should be quite simple, since the array is already sorted.
>>>> Let us know how you make out, will you?
>>>
>>> I didn't say it works for any array out there, did I?
>
> By using big-O notation, you said something about the behavior of the algorithm as the size of the data set tends to infinity, so yes, you did.
>
>> No.
>>
>> But a solution is a bit more practical if it does.
>
> Wanja was making a joke.  The performance of an algorithm on one particular data set is irrelevant to a discussion of asymptotic performance.  The hub of the joke was his reference to "O(n)" and calling it "proof" when he was making no statement about asymptotic performance.
>
> I get it.

????

Bucket sort is O(n) in n.

Asymptotically for n going against infinity.

Big O for execution speed traditionally does not look at
memory restrictions and data type restrictions.

His code is an example of code - the proof should be in most algorithmic
books.

It is not unheard of for a practical implementation of a sort to have
some limitations.

But usually it is for extreme cases.

Not being able to sort an array with one huge element is
a real problem for practical usage.

Arne

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Using Java Classes to Sort a Small Array Quickly KevinSimonson <kvnsmnsn@hotmail.com> - 2011-08-31 19:48 -0700
  Re: Using Java Classes to Sort a Small Array Quickly markspace <-@.> - 2011-08-31 20:39 -0700
    Re: Using Java Classes to Sort a Small Array Quickly bugbear <bugbear@trim_papermule.co.uk_trim> - 2011-09-01 09:18 +0100
    Re: Using Java Classes to Sort a Small Array Quickly Roedy Green <see_website@mindprod.com.invalid> - 2011-09-01 02:38 -0700
      Re: Using Java Classes to Sort a Small Array Quickly Patricia Shanahan <pats@acm.org> - 2011-09-01 03:50 -0700
    Re: Using Java Classes to Sort a Small Array Quickly Wanja Gayk <brixomatic@yahoo.com> - 2011-09-11 23:14 +0200
      Re: Using Java Classes to Sort a Small Array Quickly Eric Sosman <esosman@ieee-dot-org.invalid> - 2011-09-11 17:53 -0400
        Re: Using Java Classes to Sort a Small Array Quickly Wanja Gayk <brixomatic@yahoo.com> - 2011-09-12 01:40 +0200
          Re: Using Java Classes to Sort a Small Array Quickly Eric Sosman <esosman@ieee-dot-org.invalid> - 2011-09-11 20:32 -0400
            Re: Using Java Classes to Sort a Small Array Quickly Wanja Gayk <brixomatic@yahoo.com> - 2011-09-17 02:54 +0200
              Re: Using Java Classes to Sort a Small Array Quickly Eric Sosman <esosman@ieee-dot-org.invalid> - 2011-09-16 21:03 -0400
                Re: Using Java Classes to Sort a Small Array Quickly Wanja Gayk <brixomatic@yahoo.com> - 2011-09-17 16:52 +0200
                Re: Using Java Classes to Sort a Small Array Quickly Eric Sosman <esosman@ieee-dot-org.invalid> - 2011-09-17 11:05 -0400
                Re: Using Java Classes to Sort a Small Array Quickly Wanja Gayk <brixomatic@yahoo.com> - 2011-09-18 15:41 +0200
                Re: Using Java Classes to Sort a Small Array Quickly Lew <lewbloch@gmail.com> - 2011-09-18 12:53 -0700
                Re: Using Java Classes to Sort a Small Array Quickly Patricia Shanahan <pats@acm.org> - 2011-09-18 13:20 -0700
          Re: Using Java Classes to Sort a Small Array Quickly Arne Vajhøj <arne@vajhoej.dk> - 2011-09-11 21:10 -0400
            Re: Using Java Classes to Sort a Small Array Quickly Lew <lewbloch@gmail.com> - 2011-09-11 20:30 -0700
              Re: Using Java Classes to Sort a Small Array Quickly Arne Vajhøj <arne@vajhoej.dk> - 2011-09-12 19:13 -0400
                Re: Using Java Classes to Sort a Small Array Quickly Lew <lewbloch@gmail.com> - 2011-09-12 17:42 -0700
                Re: Using Java Classes to Sort a Small Array Quickly Wanja Gayk <brixomatic@yahoo.com> - 2011-09-17 02:54 +0200
                Re: Using Java Classes to Sort a Small Array Quickly Eric Sosman <esosman@ieee-dot-org.invalid> - 2011-09-16 21:13 -0400
                Re: Using Java Classes to Sort a Small Array Quickly Patricia Shanahan <pats@acm.org> - 2011-09-16 23:14 -0700
                Re: Using Java Classes to Sort a Small Array Quickly Wanja Gayk <brixomatic@yahoo.com> - 2011-09-17 16:53 +0200
                Re: Using Java Classes to Sort a Small Array Quickly Eric Sosman <esosman@ieee-dot-org.invalid> - 2011-09-12 21:24 -0400
          Re: Using Java Classes to Sort a Small Array Quickly Gene Wirchenko <genew@ocis.net> - 2011-09-12 10:57 -0700
            Re: Using Java Classes to Sort a Small Array Quickly Arne Vajhøj <arne@vajhoej.dk> - 2011-09-12 19:01 -0400
              Re: Using Java Classes to Sort a Small Array Quickly Eric Sosman <esosman@ieee-dot-org.invalid> - 2011-09-12 21:29 -0400
                Re: Using Java Classes to Sort a Small Array Quickly markspace <-@.> - 2011-09-12 19:49 -0700
                Re: Using Java Classes to Sort a Small Array Quickly Lew <lewbloch@gmail.com> - 2011-09-12 21:51 -0700
                Re: Using Java Classes to Sort a Small Array Quickly Joshua Cranmer <Pidgeot18@verizon.invalid> - 2011-09-13 11:32 -0500
                Re: Using Java Classes to Sort a Small Array Quickly Arne Vajhøj <arne@vajhoej.dk> - 2011-09-13 21:51 -0400
                Re: Using Java Classes to Sort a Small Array Quickly Gene Wirchenko <genew@ocis.net> - 2011-09-14 11:00 -0700
                Re: Using Java Classes to Sort a Small Array Quickly Patricia Shanahan <pats@acm.org> - 2011-09-13 06:33 -0700
              Re: Using Java Classes to Sort a Small Array Quickly Gene Wirchenko <genew@ocis.net> - 2011-09-13 09:48 -0700
  Re: Using Java Classes to Sort a Small Array Quickly Eric Sosman <esosman@ieee-dot-org.invalid> - 2011-09-01 00:25 -0400
    Re: Using Java Classes to Sort a Small Array Quickly Eric Sosman <esosman@ieee-dot-org.invalid> - 2011-09-01 00:54 -0400
    Re: Using Java Classes to Sort a Small Array Quickly bugbear <bugbear@trim_papermule.co.uk_trim> - 2011-09-01 09:20 +0100
      Re: Using Java Classes to Sort a Small Array Quickly Eric Sosman <esosman@ieee-dot-org.invalid> - 2011-09-01 08:06 -0400
    Re: Using Java Classes to Sort a Small Array Quickly Roedy Green <see_website@mindprod.com.invalid> - 2011-09-01 02:43 -0700
  Re: Using Java Classes to Sort a Small Array Quickly Robert Klemme <shortcutter@googlemail.com> - 2011-09-01 08:32 +0200
  Re: Using Java Classes to Sort a Small Array Quickly RedGrittyBrick <RedGrittyBrick@spamweary.invalid> - 2011-09-01 10:08 +0100
    Re: Using Java Classes to Sort a Small Array Quickly Patricia Shanahan <pats@acm.org> - 2011-09-01 04:02 -0700
  Re: Using Java Classes to Sort a Small Array Quickly Roedy Green <see_website@mindprod.com.invalid> - 2011-09-01 02:37 -0700
  Re: Using Java Classes to Sort a Small Array Quickly Roedy Green <see_website@mindprod.com.invalid> - 2011-09-01 04:53 -0700
  Re: Using Java Classes to Sort a Small Array Quickly Joshua Cranmer <Pidgeot18@verizon.invalid> - 2011-09-01 09:05 -0500

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