[Jprogramming] Fwd: Axis specification in APL2

[Rob Hodgkinson]

In your example below of non-applicable shapes, the transpose is required by
the APL axis operator also as you point out, as in:
   TX=. |:X
   TX ; Y : TX+"1 Y
+--------+-----+-------+
|  0 300 | 0  1|  0 301|
|100 400 | 2  3|  2 303|
|200 500 | 4  5|  4 305|
|        | 6  7|  6 307|
|        |     |       |
|        | 8  9|108 409|
|        |10 11|110 411|
|        |12 13|112 413|
|        |14 15|114 415|
|        |     |       |
|        |16 17|216 517|
|        |18 19|218 519|
|        |20 21|220 521|
|        |22 23|222 523|
+--------+-----+-------+
visually the data above is 'aligned' to add as we want - and now this is the
same model as the original example.

This is an example where I would stop and ask if X has been created with the
wrong shape and it might be better to set it up originally as shape 3 2,
then the transpose would never have been necessary.

I can't see how the axis operator could have done the above without the
transpose either, but better to review/revise the data model to avoid it in
both cases.

Note re your last example referring to this same data:
   (X+"0 3 Y) -: (X+/Y)
1

and your more complicated examples in your message, such as:
   $(i.5 4,3   6) +"1"2 3 i.5,3 2   6
5 4 3 2 6
... I don't believe are possible with the Axis Operator, but would likewise
be glad to be shown a solution, as also for an Axis example that can not be
reproduced using Rank with no transpose.  I can't think of one.

Regards, Rob Hodgkinson

-----Original Message-----
From: programming-bounces at jsoftware.com
[mailto:programming-bounces at jsoftware.com] On Behalf Of Oleg Kobchenko
Sent: Thursday, 22 June 2006 6:45 PM
To: Programming forum
Subject: Re: [Jprogramming] Fwd: Axis specification in APL2

<...snip>

Here's an example of non-applicable shapes:
 
   X=. 100*i.2 3
   Y=. i.3 4 2
   X ; Y ; (|:X) +"1 Y
+-----------+-----+-------+
|  0 100 200| 0  1|  0 301|
|300 400 500| 2  3|  2 303|
|           | 4  5|  4 305|
|           | 6  7|  6 307|
|           |     |       |
|           | 8  9|108 409|
|           |10 11|110 411|
|           |12 13|112 413|
|           |14 15|114 415|
|           |     |       |
|           |16 17|216 517|
|           |18 19|218 519|
|           |20 21|220 521|
|           |22 23|222 523|
+-----------+-----+-------+

it not possible to get the result above with
rank only without transpose,
although, it is possible to match + in a way
   $X +"0 3 Y
2 3 3 4 2
Can either of the two examples above be done
with axis +[? ?]  without transpose?
 
Can somebody provide an axis example,
that really cannot be done with rank alone?

<snip>