Using .BY with a lookup table--unexpected results - r

Question

I'd like to create a variable in dt according to a lookup table k. I'm getting some unexpected results depending on how I extract the variable of interest in k.
dt <- data.table(x=c(1:10))
setkey(dt, x)
k <- data.table(x=c(1:5,10), b=c(letters[1:5], "d"))
setkey(k, x)
dt[,b:=k[.BY, list(b)],by=x]
dt #unexpected results
# x b
# 1: 1 1
# 2: 2 2
# 3: 3 3
# 4: 4 4
# 5: 5 5
# 6: 6 6
# 7: 7 7
# 8: 8 8
# 9: 9 9
# 10: 10 10
dt <- data.table(x=c(1:10))
setkey(x, x)
dt[,b:=k[.BY]$b,by=x]
dt #expected results
# x b
# 1: 1 a
# 2: 2 b
# 3: 3 c
# 4: 4 d
# 5: 5 e
# 6: 6 NA
# 7: 7 NA
# 8: 8 NA
# 9: 9 NA
# 10: 10 d
Can anyone explain why this is happening?

Answer 1

You don't have to use by=. here at all.
First solution:
Set appropriate keys and use X[Y] syntax from data.table:
require(data.table)
dt <- data.table(x=c(1:10))
setkey(dt, "x")
k <- data.table(x=c(1:5,10), b=c(letters[1:5], "d"))
setkey(k, "x")
k[dt]
# x b
# 1: 1 a
# 2: 2 b
# 3: 3 c
# 4: 4 d
# 5: 5 e
# 6: 6 NA
# 7: 7 NA
# 8: 8 NA
# 9: 9 NA
# 10: 10 d
OP said that this creates a new data.table and it is undesirable for him.
Second solution
Again, without by:
dt <- data.table(x=c(1:10))
setkey(dt, "x")
k <- data.table(x=c(1:5,10), b=c(letters[1:5], "d"))
setkey(k, "x")
# solution
dt[k, b := i.b]
This does not create a new data.table and gives the solution you're expecting.
To explain why the unexpected result happens:
For the first case you do, dt[,b:=k[.BY, list(b)],by=x]. Here, k[.BY, list(b)] itself returns a data.table. For example:
k[list(x=1), list(b)]
# x b
# 1: 1 a
So, basically, if you would do:
k[list(x=dt$x), list(b)]
That would give you the desired solution as well. To answer why you get what you get when you do b := k[.BY, list(b)], since, the RHS returns a data.table and you're assigning a variable to it, it takes the first element and drops the rest. For example, do this:
dt[, c := dt[1], by=x]
# you'll get the whole column to be 1
For the second case, to understand why it works, you'll have to know the subtle difference between, accessing a data.table as k[6] and k[list(6)], for example:
In the first case, k[6], you are accessing the 6th element of k, which is 10 d. But in the second case, you're asking for a J, join. So, it searches for x = 6 (key column) and since there isn't any in k, it returns 6 NA. In your case, since you use k[.BY] which returns a list, it is a J operation, which fetches the right value.
I hope this helps.