Catenation - IBM 5100 Apl Reference Manual

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CATENATION
You can join together two arrays to make a single array by using the catenation
function. The symbol for this function is the comma. When catenating vectors,
or scalars and vectors, the variables are joined in the order in which they are speci-
fied, as the following examples show:
A~~
1.
:~
:3
I.~
Bi"'+ 5 6
A,B
:l 2 :3 ' + '+ 1::'
\.1
6
B,A
q.
~:;
6 1. 2 :.:~
q.
(4,2
:1. 2 3
'+
2
3/A
3
1-
'1
r:M
3
1+
When catenating two matrices or N-rank arrays, the function can take the form
A,[I]B, where I defines the coordinate that will be expanded when A and B are joined.
If the coordinate is not specified, the last coordinate is used. When A and Bare
matrices and [I] is [1], the first coordinate (number of rows) is expanded; when [I]
is [2], the last coordinate (number of columns) is expanded. The following examples
show how to catenate matrices:
Graphic Representation
A B
Ai"2
:3~):1. 0
20
:3 ()
4·0
!!.!j
0
<~) 0
10 20 30 11 22
-
B~"2
3(-1l.:1. 22 :3:3
1.1.
1 +
"':'I:!'
66
40 50 60
44
55
,.J ,.J
A,B
1.0 20 30 1:1.
,')
")
Lot!.
33
A
B
'+0
~!50 60
'+'+
55 66
10 20 30
11 22 33
A/[2:JB
40
50 60
44 55 66
10
~~
()
30 :1.1
22
33
4·0
~7j 0
60 '+'+ 55 66
A/[lJB
A
10 20 30
10
20 30
40 50 60
I.~O ~5
() 60
,
1.1-
"") ")
I!.
A-_
:3~1
B
11 22 33
1+' +
1::-1::'
.. J ,.J
66
44
55
66
33
66
37