I wish to create a vector holding the position of elements from one vector in another vector.  This is similar to the following questions:
Get the index of the values of one vector in another?
Is there an R function for finding the index of an element in a vector?
The match function in base R works in the simplest case, shown here:
a <- c(1,1,2,2,3,3,4,4,5,5)
b <- c(1,2,3,4,5)
desired.output <- c(1,3,5,7,9)
match(b,a)
#[1] 1 3 5 7 9
However, match does not appear to work in more complex cases shown below.  I might need a combination of which and match.   In every case I am considering so far a value in b does not appear more often in b than in a.  I need a base R solution.
a <- c(1,1,2,2,3,3,4,4,5,5)
b <- c(1,2,2,3,4,5)
desired.output <- c(1,3,4,5,7,9)
a <- c(1,1,2,2,3,3,4,4,5,5)
b <- c(1,2,2,3,4,4,5)
desired.output <- c(1,3,4,5,7,8,9)
a <- c(1,1,2,2,3,3,4,4,5,5)
b <- c(1,2,2,3,4,4,5,5)
desired.output <- c(1,3,4,5,7,8,9,10)
a <- c(1,1,2,2,3,3,4,4,5,5)
b <- c(1,1,2,2,3,4,4,5,5)
desired.output <- c(1,2,3,4,5,7,8,9,10)
a <- c(1,1,2,2,3,3,4,4,5,5)
b <- c(1,1,2,2,3,3,4,4,5,5)
desired.output <- c(1,2,3,4,5,6,7,8,9,10)
 
    