I understand. I shouldn't have said "not be difficult". But compared to
implementing something like quaternions into the J interpreter which would
be very difficult. What I am suggesting is perhaps a tool be added to J
where possible extensions can be tried out and J primitives could be used
as if implemented in the interpreter.

On Fri, Nov 2, 2018 at 3:31 PM Raul Miller <[email protected]> wrote:

> Please be careful with phrases like "it would not be difficult" when
> it's something you have never done.
>
> I mean, sure, it's not difficult for you when someone else does the
> work. But... well... maybe I have just heard people throw around that
> kind of suggestion a few too many times?
>
> Thanks,
>
> --
> Raul
>
> On Fri, Nov 2, 2018 at 5:21 PM Don Guinn <[email protected]> wrote:
> >
> > When I built my quaternion calculator I soon found that I really needed
> to
> > be able to write J expressions and not use special calls. So I found
> that I
> > could write a tool to rewrite a J statement and replace the desired
> > primitives with a call to my code. It was not a solid approach, but was
> > sufficient. I didn't have a special data type, so I assumed that a box
> > containing a list of 4 numbers was a quaternion. It was not hard, if
> > dyadic, to make sure perform the calculation as would be expected.
> >
> > When allowing for new data types, is this to put into J a new data type,
> > like quaternions, fully integrated into J? That would be extensive. But
> it
> > would not be difficult to provide a way for trying out a new data type
> for
> > users to experiment. If it proves out to be useful and worth the effort
> to
> > integrate it into J, then it could be done.
> >
> > It would not be difficult to provide a tool to experiment for verb
> > extensions, not modifiers. Add a new data type and a primitive verb to
> > convert a noun to the data type. This would be work like x: or u: . Then
> > add to global parameters a user name like Immex Phrase that is called if
> > either argument to a primitive verb is this experimental data type. That
> > phrase would be an adverb, monadic or dyadic, with the primitive verb
> > encountering the data type as its argument. It would perform the
> > calculation and return the result or an error, as the adverb chooses.
> >
> > Say the primitive to convert to the data type is called maybe "z:" with
> > infinite rank. First, the user assigns the experimental phrase, then z:
> > would no longer be an error, but cause the phrase to be run where it
> would
> > assign what a cell is and return the noun in desired form by running the
> > phrase with a verb argument of "z:". Then, in a similar fashion, any
> other
> > primitive where a the cell of either argument is this experimental data
> > type would run this experimental phrase on the cells.
> >
> > It wouldn't be efficient. But it wouldn't require work throughout the
> > interpreter.
> >
> > For quaternions. z: would invoke the experimental phrase which would have
> > to define the cell as 4 numbers, expand each number in the argument to 4
> > numbers or whatever form one wants. So "z: 2j3 4" would return a noun
> with
> > the experimental data type and the "2j3 4" to "2 0 3 0,:4 0 0 0" or
> > possibly "2 0 3 0;4 0 0 0", assuming the form to be n, i, j, k. The boxed
> > form would be less efficient, but would mean that no additional checking
> is
> > required in the interpreter as the data type internally would be "boxed"
> > and the data types of the numbers within each box is preserved. Cells
> would
> > still be cells for rank processing as before in the interpreter and the
> > numbers within the box could be integer, float or even extended integers,
> > whatever the user wants.
> >
> > There would need to be changes to "do" (".) and the display of the noun
> to
> > invoke the experimental phrase, "do" when it encounters an error and when
> > the name is displayed, call the experimental phrase to make the
> conversion
> > for display. That should be about it.
> >
> > Okay, I'm a nutcase. But it would be nice to have a way for users to try
> > new data types without involving J development. Much of existing code
> would
> > accept the experimental data type without modification. It would be an
> easy
> > tool to try things easily and not involve the J internals. If it looks
> > worth it, then the big job of integrating it into J could be done.
> >
> > In the meantime, for quaternions, the library would still be needed for
> > efficient calculations. Just like LAPACK and other utility libraries.
> >
> > If you want, I could make it a formal proposal. But I just wanted to toss
> > it out first to see what others thought.
> >
> > >
> > >
> > ----------------------------------------------------------------------
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> ----------------------------------------------------------------------
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