(-[:|.\0,}:)@(2^i.) is equally efficient  as +/\"1@(|.\)@(1,2&^@i.@<:)
but gives a NaN error for higher values.


R.E. Boss


> -----Original Message-----
> From: [email protected] [mailto:programming-
> [email protected]] On Behalf Of R.E. Boss
> Sent: woensdag 10 december 2014 18:30
> To: [email protected]
> Subject: Re: [Jprogramming] more elegant solution?
> 
> Can further be simplified to the faster and leaner
> 
>    +/\"1@(|.\)@(1,2&^@i.@<:) 5
> 1  1  1  1  1
> 1  2  2  2  2
> 2  3  4  4  4
> 4  6  7  8  8
> 8 12 14 15 16
> 
> Some figures
>    10 ts'(((+ +/),]),:^:(1=#@$))/&.|. <:/~i.1000'     NB. REB
> 3.5132891 27291264
>    10 ts'(#.@}: + {:)\"1&.|: <:/~i.1000'              NB. HR
> 4.1630193 17839744
>    10 ts'(+/ . *~  |.@(]\.)@(1 ,~ 2&^)@i.@-.@#)  <:/~i.1000'  NB. HR
> 0.59133937 23368960
>    10 ts'+/\"1@(]\.&.|.@(1,2&^@i.@<:)) 1000'          NB. AG
> 0.012311738 22311040
>    10 ts'+/\"1@|.\@(1,2&^@i.@<:) 1000'        NB. REB
> 0.0066505051 13913344
> 
> 
> R.E. Boss
> 
> (Add your info to
> http://www.jsoftware.com/jwiki/Community/Demographics )
> 
> > -----Original Message-----
> > From: [email protected]
> [mailto:programming-
> > [email protected]] On Behalf Of Aai
> > Sent: woensdag 10 december 2014 9:02
> > To: [email protected]
> > Subject: Re: [Jprogramming] more elegant solution?
> >
> > Another fast one
> >
> > +/\"1@(]\.&.|.@(1,2&^@i.@<:)) n
> >
> >
> > Henry Rich schreef op 09-12-14 om 23:25:
> > > Same idea, but a pretty efficient implementation:
> > >
> > >    (+/ . *~  |.@(]\.)@(1 ,~ 2&^)@i.@-.@#) a
> > > 1  1  1  1  1
> > > 1  2  2  2  2
> > > 2  3  4  4  4
> > > 4  6  7  8  8
> > > 8 12 14 15 16
> > >
> > > Henry Rich
> > >
> > > On 12/9/2014 8:44 AM, R.E. Boss wrote:
> > >> Thinking out of my box.
> > >> Clever interpretation of the pattern.
> > >>
> > >>
> > >> R.E. Boss
> > >>
> > >>
> > >>> -----Original Message-----
> > >>> From: [email protected]
> > [mailto:programming-
> > >>> [email protected]] On Behalf Of Henry Rich
> > >>> Sent: dinsdag 9 december 2014 13:50
> > >>> To: [email protected]
> > >>> Subject: Re: [Jprogramming] more elegant solution?
> > >>>
> > >>>      a =. <:/~i.5
> > >>>      (#.@}: + {:)\"1&.|: a
> > >>> 1  1  1  1  1
> > >>> 1  2  2  2  2
> > >>> 2  3  4  4  4
> > >>> 4  6  7  8  8
> > >>> 8 12 14 15 16
> > >>>
> > >>> Henry Rich
> > >>>
> > >>> On 12/9/2014 6:56 AM, R.E. Boss wrote:
> > >>>> Given the matrix
> > >>>>      <:/~i.5     NB. 5 could be any positive integer
> > >>>> 1 1 1 1 1
> > >>>> 0 1 1 1 1
> > >>>> 0 0 1 1 1
> > >>>> 0 0 0 1 1
> > >>>> 0 0 0 0 1
> > >>>> I want to generate
> > >>>> 1  1  1  1  1
> > >>>> 1  2  2  2  2
> > >>>> 2  3  4  4  4
> > >>>> 4  6  7  8  8
> > >>>> 8 12 14 15 16
> > >>>> which one would expect to construct with
> > >>>>      ((+ +/),])/&.|.<:/~i.5
> > >>>> but then
> > >>>> 1 1 1 1 1 6 6 6 6 5 35 35 35 34 34 208 208 207 207 207 1245 1244
1244
> > >> 1244
> > >>>> 1244
> > >>>>
> > >>>> Of course I can think of all kind of solutions of which
> > >>>>      (3 : ('z=.(1-#y)}.y';'for_k. }.i.#y do. z=.z, (k{y) + +/z
> > >> end.';'z'))
> > >>>> <:/~i.5
> > >>>> I regard the most satisfactory.
> > >>>> Does anyone has a more elegant tacit solution then
> > >>>>      (((+ +/),]),:^:(1=#@$))/&.|. <:/~i.5
> > >>>> 1  1  1  1  1
> > >>>> 1  2  2  2  2
> > >>>> 2  3  4  4  4
> > >>>> 4  6  7  8  8
> > >>>> 8 12 14 15 16
> > >>>>
> > >>>>
> > >>>> R.E Boss
> > >>>>
> > >>>>
> ----------------------------------------------------------------------
> > >>>> For information about J forums see
> > >>> http://www.jsoftware.com/forums.htm
> > >>>>
> > >>>
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> > >>
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> > --
> > Met vriendelijke groet,
> > @@i = Arie Groeneveld
> >
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