Who needs boxes? :)
i.4 4
0 1 2 3
4 5 6 7
8 9 10 11
12 13 14 15
8$"1]8$i.4 4
0 1 2 3 0 1 2 3
4 5 6 7 4 5 6 7
8 9 10 11 8 9 10 11
12 13 14 15 12 13 14 15
0 1 2 3 0 1 2 3
4 5 6 7 4 5 6 7
8 9 10 11 8 9 10 11
12 13 14 15 12 13 14 15
A rank-polymorphic solution derives (though unfortunately it requires explicit
code):
f=. ] ]F.:{{({.x) $"({:x) y}} (*$) ,. |.@:>:@i.@$@$@]
2 3 f i.4 4
0 1 2 3 0 1 2 3 0 1 2 3
4 5 6 7 4 5 6 7 4 5 6 7
8 9 10 11 8 9 10 11 8 9 10 11
12 13 14 15 12 13 14 15 12 13 14 15
0 1 2 3 0 1 2 3 0 1 2 3
4 5 6 7 4 5 6 7 4 5 6 7
8 9 10 11 8 9 10 11 8 9 10 11
12 13 14 15 12 13 14 15 12 13 14 15
2 2 2 f i.2 2 2
0 1 0 1
2 3 2 3
0 1 0 1
2 3 2 3
4 5 4 5
6 7 6 7
4 5 4 5
6 7 6 7
0 1 0 1
2 3 2 3
0 1 0 1
2 3 2 3
4 5 4 5
6 7 6 7
4 5 4 5
6 7 6 7
On Fri, 1 Jul 2022, Thomas McGuire wrote:
I was playing with the Window driver and trying to paint the toucan.bmp to the window I created. Expanding on that I wanted to pain a panel of toucan.bmp bitmaps to the background. Now I was able to glom together the bitmaps into a 2 x 2 panel of bitmaps, but it seems I
should be able to just specify how many rows and columns of matrices I want and let J handle the complexity.
I can assign demensions easily and get the structure of what I want through boxing. For this I will use a simple square matrix:
i. 4 4
0 1 2 3
4 5 6 7
8 9 10 11
12 13 14 15
If I box this I can dial up any table of boxes using shape:
<i. 4 4
┌───────────┐
│ 0 1 2 3│
│ 4 5 6 7│
│ 8 9 10 11│
│12 13 14 15│
└───────────┘
Then using shape you get:
2 2$<i.4 4
┌───────────┬───────────┐
│ 0 1 2 3│ 0 1 2 3│
│ 4 5 6 7│ 4 5 6 7│
│ 8 9 10 11│ 8 9 10 11│
│12 13 14 15│12 13 14 15│
├───────────┼───────────┤
│ 0 1 2 3│ 0 1 2 3│
│ 4 5 6 7│ 4 5 6 7│
│ 8 9 10 11│ 8 9 10 11│
│12 13 14 15│12 13 14 15│
└───────────┴───────────┘
I want those to squish together to form an 8x8 square matrix as it appears
right now. I came up with the following: I raze the structure (with ‘;’) and
then insert a splice (‘,.’) using the ‘/‘ adverb:
,./;"1(2 2$<i. 4 4)
0 1 2 3 0 1 2 3
4 5 6 7 4 5 6 7
8 9 10 11 8 9 10 11
12 13 14 15 12 13 14 15
0 1 2 3 0 1 2 3
4 5 6 7 4 5 6 7
8 9 10 11 8 9 10 11
12 13 14 15 12 13 14 15
This works with the only caveat that if you specify a rectangular matrix as the final form the final dimensions are the transpose of what you would expect (minor detail).
I am wondering is there a way to duplicate a seed matrix and give it the form I
want without resorting to boxing. My previous attempts at this failed.
Also is there a way to unbox and have this retain its current structure? I failed
at trying different ranks with raze (‘;’) and unbox (‘>’) and getting anything
close to what I have now.
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