Fast way of getting index of match in list

Question

Given a list a containing vectors of unequal length and a vector b containing some elements from the vectors in a, I want to get a vector of equal length to b containing the index in a where the element in b matches (this is a bad explanation I know)...

The following code does the job:

a <- list(1:3, 4:5, 6:9)
b <- c(2, 3, 5, 8)

sapply(b, function(x, list) which(unlist(lapply(list, function(y, z) z %in% y, z=x))), list=a)
[1] 1 1 2 3

Replacing the sapply with a for loop achieves the same of course

The problem is that this code will be used with list and vectors with a length above 1000. On a real life set the function takes around 15 seconds (both the for loop and the sapply).

Does anyone have an idea how to speed this up, safe for a parallel approach? I have failed to see a vectorized approach (and I cannot program in C, though that would probably be the fastest).

Edit:

Will just emphasize Aaron's elegant solution using match() which gave a speed increase in the order of 1667 times (from 15 to 0.009)

I expanded a bit on it to allow multiple matches (the return is then a list)

a <- list(1:3, 3:5, 3:7)
b <- c(3, 5)
g <- rep(seq_along(a), sapply(a, length))
sapply(b, function(x) g[which(unlist(a) %in% x)])
[[1]]
[1] 1 2 3

[[2]]
[1] 2 3

The runtime for this was 0.169 which is arguably quite slower, but on the other hand more flexible

Solution

Here's one possibility using match:

> a <- list(1:3, 4:5, 6:9)
> b <- c(2, 3, 5, 8)
> g <- rep(seq_along(a), sapply(a, length))
> g[match(b, unlist(a))]
[1] 1 1 2 3

findInterval is another option:

> findInterval(match(b, unlist(a)), cumsum(c(0,sapply(a, length)))+1)
[1] 1 1 2 3

For returning a list, try this:

a <- list(1:3, 4:5, 5:9)
b <- c(2,3,5,8,5)
g <- rep(seq_along(a), sapply(a, length))
aa <- unlist(a)
au <- unique(aa)
af <- factor(aa, levels=au)
gg <- split(g, af)
gg[match(b, au)]

Comments

[Joshua Ulrich]

What do you want the algorithm to do if an element of b appears in more than one element of a? Is that possible in your actual problem?

[ThomasP85]

I should have specified that... It is not a possibility

[ThomasP85]

From 15 sec to 0.009 - thats an impressive improvement. I found out that I would actually like to return a list instead of a vector, so that it can handle multiple matches. I substituted the last line in your first suggestion with sapply(b, function(x) g[which(unlist(a) %in% x)]) to achieve this. The run time was then 0.169, which is quite slower than your but still a major improvement.