How can I define a verb in J that applies a different verb alternately to each atom in a list?
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by Gregory Higley
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Published on 2010-06-07T10:09:53Z
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2010/06/07
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Imagine I've defined the following name in J:
m =: >: i. 2 4 5
This looks like the following:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
I want to create a monadic verb of rank 1 that applies to each list in this list of lists. It will double (+:
) or add 1 (>:
) to each alternate item in the list. If we were to apply this verb to the first row, we'd get 2 3 6 5 10
.
It's fairly easy to get a list of booleans which alternate with each item, e.g., 0 1 $~{:$ m
gives us 0 1 0 1 0
. I thought, aha! I'll use something like +:
`>: @.
followed by some expression, but I could never quite get it to work.
Any suggestions?
UPDATE
The following appears to work, but perhaps it can be refactored into something more elegant by a J pro.
poop =: monad define (($ y) $ 0 1 $~{:$ y) ((]+:)`(]>:) @. [)"0 y )
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