Louis,  Great explanation! Breaking that big tacit verb into smaller verbs
that I can test out separately, makes the whole thing much clearer. This
was a good learning experience for me.

Skip


Skip Cave
Cave Consulting LLC

On Tue, Nov 8, 2016 at 3:42 AM, Louis de Forcrand <[email protected]> wrote:

> f=: (] dyax ywx)"_ 0 ind
> ind=: [: I. 2 =/\ ] NB. indices of 1st number in pairs
> dyax=: +:@{`[`]} NB. double y at x index
> ywx=: <^:3@] { [ NB. y without x index
>
> Take a look at the dictionary page for } (ammend) with gerunds (`
> expressions).
>
> In addition, a triply-boxed left argument to { simply removes the item at
> that index in y.
>
> As to the missing left argument to the "_ 0 verb, a hook (f g) y evaluates
> to y f g y.
>
> Hope this helps,
> Louis
>
> > On 08 Nov 2016, at 06:17, Skip Cave <[email protected]> wrote:
> >
> > Nice! Xiao-Yong's verb does exactly what I need.
> >
> >  f=:(] +:@{`[`]} <@<@<@]{[)"_ 0 [:I.2=/\]
> >
> >    t =. 1 2 2 4 1 5 3 4 4 4 2 3 3
> >
> >    f t
> >
> > 1 4 4 1 5 3 4 4 4 2 3 3
> >
> > 1 2 2 4 1 5 3 8 4 2 3 3
> >
> > 1 2 2 4 1 5 3 4 8 2 3 3
> >
> > 1 2 2 4 1 5 3 4 4 4 2 6
> >
> >
> > I can understand [:I.2=/\]. Using I. is the perfect way to find the
> > indices of the dups. However, the rest of that big infinite-rank tacit
> > expression to the left must generate each of the reduced items. I'm
> totally
> > lost trying to figure that out. Why the zero? Why three <@? I thought [
> > represented a left argument, but there isn't a left argument. Any help is
> > appreciated.
> >
> >
> > Skip
> >
> > Skip Cave
> > Cave Consulting LLC
> >
> > On Mon, Nov 7, 2016 at 10:25 PM, Xiao-Yong Jin <[email protected]>
> > wrote:
> >
> >> So you probably just need this:
> >>   f=:(] +:@{`[`]} <@<@<@]{[)"_ 0 [:I.2=/\]
> >> or really the adverb
> >>   a=:1 :'u@(] +:@{`[`]} <@<@<@]{[)"_ 0 [:I.2=/\]'
> >>
> >> You may find different solutions if you abstract your problem
> differently.
> >>
> >>> On Nov 7, 2016, at 9:30 PM, Skip Cave <[email protected]> wrote:
> >>>
> >>> Very interesting. Quite a difference in space and time usage, not to
> >>> mention length of the tacit code.
> >>>
> >>> For my application, a rank 0 or 1 in the summed result isn't all that
> >>> critical. As long as the contents of each box can be used in further
> >>> arithmetic and Boolean operations (e.g. it's not text), then I'm ok.
> >>>
> >>>
> >>> It looks like nouns with ranks 0 or 1 don't affect the outcome of
> simple
> >>> arithmetic operations:
> >>>
> >>>
> >>> ($4);($,4);(4=,4);(1+4);(1+,4);((1+4)=1+,4);($1+4);($1+,4)
> >>>
> >>> ┌┬─┬─┬─┬─┬─┬┬─┐
> >>>
> >>> ││1│1│5│5│1││1│
> >>>
> >>> └┴─┴─┴─┴─┴─┴┴─┘
> >>>
> >>> The only time the difference becomes an issue:
> >>>
> >>> ($4)=($,4)
> >>>
> >>> |length error
> >>>
> >>> | ($4) =($,4)
> >>> But I don't care about this.
> >>>
> >>> Actually, Mike Day spotted what I was really trying to attempt.
> >>> The original starting vector is:
> >>>
> >>> n =: 1 2 2 4 1 5 3 4 4 4 2 3 3
> >>>
> >>> Then I box at each possible pair of integers using an infix
> >> sliding-window
> >>> on each pair of integers. This sliding box scheme was just to identify
> >> all
> >>> the duped pairs in the original vector.
> >>>
> >>>  ]N =: 2<\pp
> >>>
> >>> ┌───┬───┬───┬───┬───┬───┬───┬───┬───┬───┬───┬───┐
> >>>
> >>> │1 2│2 2│2 4│4 1│1 5│5 3│3 4│4 4│4 4│4 2│2 3│3 3│
> >>>
> >>> └───┴───┴───┴───┴───┴───┴───┴───┴───┴───┴───┴───┘
> >>>
> >>>
> >>> What I ultimately wanted is a verb that will replace the duped pairs in
> >> the
> >>> *original* un-boxed vector, one at a time:
> >>>
> >>> n =: 1 2 2 4 1 5 3 4 4 4 2 3 3
> >>>
> >>> f n
> >>>
> >>> 1 4 4 1 5 3 4 4 4 2 3 3
> >>>
> >>> 1 2 2 4 1 5 3 8 4 2 3 3
> >>>
> >>> 1 2 2 4 1 5 3 4 8 2 3 3
> >>>
> >>> 1 2 2 4 1 5 3 4 4 4 2 6
> >>>
> >>> Of course, the final row lengths will be one shorter that the original
> >> row
> >>> length.
> >>>
> >>> Skip
> >>> ----------------------------------------------------------------------
> >>> For information about J forums see http://www.jsoftware.com/forums.htm
> >>
> >> ----------------------------------------------------------------------
> >> For information about J forums see http://www.jsoftware.com/forums.htm
> > ----------------------------------------------------------------------
> > For information about J forums see http://www.jsoftware.com/forums.htm
>
> ----------------------------------------------------------------------
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