Hello,

Maybe I should add some more context on why I am doing this - I am
(re-)reading up on algorithms and thought I shall use J to experiment. Am I
doing the right thing by choosing J to implement and test these rather low
level algorithms? Maybe for full control on memory and accesses, I should
choose C++ instead.
Comments?

Regards,
Yuva

p.s: Not sure if this is programming or chat. For now I am continuing this
thread.

On Tue, Apr 7, 2009 at 12:25 PM, Yuvaraj Athur Raghuvir <
[email protected]> wrote:

> Hello,
>
> Inspired by the quicksort defined at
> http://jsoftware.com/help/dictionary/d212.htm as:
> quicksortr=: (($:@(<#[) , (=#[) , $:@(>#[)) ({~ ?...@#)) ^: (1<#) NB. random
> pivot
>
> I wrote a selection sort as so:
> selectsort =: ((<./),$:@(]-. <./))^: (1<#)
>
> Yes, I know that grade(/:)  is the J way of doing sorting. I am just trying
> this out.
>
> To eliminate the random pivot selection, I did the following:
> quicksort=: (($:@(<#[) , (=#[) , $:@(>#[)) (0{])) ^: (1<#)
>
>
> To test, I created these simple verbs:
> cmd =: 'ts ''n1=.selectsort a''';'ts ''n0=.(/:a){a''';'a =. (10 ? 10) { 22+
> i. 10'
> cmd =: ('ts ''n3=.quicksort a''';'ts ''n2=.quicksortr a'''),cmd
> cmd =: ('n3-:n2';'n2-:n1';'n1-:n0'),cmd
>
> test=: 4 : ',. > ". L:0 (x # ,. <y)' NB. Am I doing too much work here?
>
>     b =.100000 test cmd
>    (+/ % #) ;"1 (3 4 5 6 {"1  b)
> 3.01884e_5 3590.4 3.35261e_5 3589.82 2.14828e_5 4744.79 6.48059e_6 1384.96
>
> The data shows that quicksort is faster than quicksortr but is slower than
> the selectsort on the average.
>
> This is expected since the quicksort does a full scan to choose the items
> lesser/greater than the pivot element.
>
> Is it possible to implement a quicksort faster than the selection sort that
> is proposed here?
>
> Regards,
> Yuva
>
> p.s: Interestingly, I see that irrespective of the number of trials, I
> loose the first three match results. So, I have
>    +/;3&{."1 b
> 299997
>    +/;3&{."1 (100 test cmd)
> 297
>    +/;3&{."1 (10 test cmd)
> 27
>
> What could be wrong?
>
>
>
>
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