Identical?

   f =: =&{:
   g =: [:={:
   1 4 f 2 3 4
1
   1 4 g 2 3 4
|domain error: g
|   1 4     g 2 3 4

Kip Murray

Sent from my iPad


On Oct 20, 2012, at 1:11 AM, "Linda Alvord" <lindaalv...@verizon.net> wrote:

> Here's a problem that bothers me about this example before I leave it.
> 
> 
> 
> First establish that  =&{:  and  [:={:  are identical and compare tree and
> boxed versions:
> 
> 
> 
> 
> 
>    ]'A B'=:3|L:0(([:<i.)"1)3 5,:5 4
> 
> ----------T-------┐
> │0 1 2 0 1│0 1 2 0│
> │2 0 1 2 0│1 2 0 1│
> │1 2 0 1 2│2 0 1 2│
> │         │0 1 2 0│
> │         │1 2 0 1│
> L---------+--------
> 
>   f=:=&{:
> 
>   g=:[:={:
> 
>   5!:4 <'f'
> 
>      -- = 
> -- & -+- {:
> 
>   5!:4 <'g'
> 
>  -- [:
> --+- = 
>  L- {:
> 
>   B
> 
> 0 1 2 0
> 1 2 0 1
> 2 0 1 2
> 0 1 2 0
> 1 2 0 1
> 
>   f B
> 
> 1 0 0 1
> 0 1 0 0
> 0 0 1 0
> 
>   g B
> 
> 1 0 0 1
> 0 1 0 0
> 0 0 1 0
> 
> 
> 
> Now look at two "trees":    
> 
> 
> 
>   elm=: 13 :'((=&{:)|.)"1 y'
> 
>   oak=: 13 :'(([:={:)|.)"1 y'
> 
>   5!:4 <'elm'
> 
>                -- = 
>          -- & -+- {:
>      ----+- |.      
> -- " -+- 1           
> 
>   5!:4 <'oak'
> 
>               -- [:
>          -----+- = 
>      ----+    L- {:
> -- " -+   L- |.     
>      L- 1          
> 
>   5!:2 <'elm'
> 
> --------------T-T-┐
> │---------T--┐│"│1│
> ││--T-T--┐│|.││ │ │
> │││=│&│{:││  ││ │ │
> ││L-+-+---│  ││ │ │
> │L--------+---│ │ │
> L-------------+-+--
> 
>   5!:2 <'oak'
> 
> ---------------T-T-┐
> │----------T--┐│"│1│
> ││---T-T--┐│|.││ │ │
> │││[:│=│{:││  ││ │ │
> ││L--+-+---│  ││ │ │
> │L---------+---│ │ │
> L--------------+-+--
> 
>   B
> 
> 0 1 2 0
> 1 2 0 1
> 2 0 1 2
> 0 1 2 0
> 1 2 0 1
> 
>   elm B
> 
> 1 1 1 1 1
> 
>   oak B
> 
> ran with error:
> |domain error: oak
> |       oak B
> |[-16] c:\users\owner\j701-user\temp\42.ijs
> 
> 
> 
> I'm not troubled by the fact that these results are different. I am bothered
> that their differences do not appear in the tree and boxed version, because
> I expect them both to be elm trees!
> 
> 
> 
> If these versions don't show any differences shouldn't the results agree.  I
> think the tree versions must be missing some way to tell them apart.
> 
> 
> 
> Any thoughts?
> 
> 
> 
> Linda
> 
> 
> 
> Linda
> 
> 
> 
> 
> 
> 
> 
> -----Original Message-----
> 
> From:  <mailto:programming-boun...@forums.jsoftware.com>
> programming-boun...@forums.jsoftware.com
> 
> [ <mailto:programming-boun...@forums.jsoftware.com>
> mailto:programming-boun...@forums.jsoftware.com] On Behalf Of Raul Miller
> 
> Sent: Friday, October 19, 2012 9:30 AM
> 
> To:  <mailto:programm...@jsoftware.com> programm...@jsoftware.com
> 
> Subject: Re: [Jprogramming] stitching matrices
> 
> 
> 
> On Fri, Oct 19, 2012 at 4:00 AM, Linda Alvord <
> <mailto:lindaalv...@verizon.net> lindaalv...@verizon.net>
> 
> wrote:
> 
>>   G B
> 
>> 1 1 1 1 1
> 
>>   H B
> 
>> ran with error:
> 
>> |domain error: H
> 
>> |       H B
> 
>> |[-30] c:\users\owner\j701-user\temp\37.ijs
> 
> 
>> G WORKS!  H DOESN'T!
> 
> 
>> How can I write the function  H  without & and get 1 1 1 1  ?
> 
> 
> 
> Here's G B
> 
>   ((=&{:)|.)"1 $~&5 4 i.3
> 
> 1 1 1 1 1
> 
> 
> 
> Here, I rephrase G by eliminating the &
> 
>   (({:@[ = {:@])|.)"1 $~&5 4 i.3
> 
> 1 1 1 1 1
> 
> 
> 
> Note that I am testing the result at each step, here, to make sure I've not
> made any bad assumptions (for example, hypothetically speaking some
> intermediate results in these kinds of transformations might need some
> explicit treatment of rank).
> 
> 
> 
> Here, I further rephrase G by also eliminating both of the @ conjunctions
> 
>   ((([: {: [) = ([: {: ]))|.)"1 $~&5 4 i.3
> 
> 1 1 1 1 1
> 
> 
> 
> Here, I simplify slightly by using a hook
> 
>   (((([: {: [) = ]) {:)|.)"1 $~&5 4 i.3
> 
> 1 1 1 1 1
> 
> 
> 
> Here, I simplify again by using a cross hook
> 
>   (((= {:)~ {:) |.)"1 $~&5 4 i.3
> 
> 1 1 1 1 1
> 
> 
> 
> Good enough?
> 
> 
> 
> Thanks,
> 
> 
> 
> --
> 
> Raul
> 
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