R中是否有一些“交叉应用”功能？

Question

Is there some function in R of the form like:

crossApply(v1, v2, func)

that has the same functionality as:

ret = c()
i = 1
for (e1 in v1) {
  for (e2 in v2) {
    ret[i] <- func(e1,e2)
    i <- i + 1
  }
}
return(ret)

Thanks in advance.

Answer 1

I think you may be looking for outer which isn't exactly what your code does, but it's close. Specifically, outer will return the matrix (ie the outer product) or each combination of the elements of its first two arguments.

You'd probably want to store the result and then extract the lower triangle as a vector. Something like this maybe:

rs <- outer(1:4,-(5:7),"+")
rs[lower.tri(rs,diag = TRUE)]
[1] -4 -3 -2 -1 -4 -3 -2 -4 -3

Answer 2

An example

func <- function(x,y) {sqrt(x^2+y^2)}
v1 <- c(1,3,5)
v2 <- c(0,-4,-12)
ret <- outer(v1,v2,"func")

And you then have

> ret
     [,1]     [,2]     [,3]
[1,]    1 4.123106 12.04159
[2,]    3 5.000000 12.36932
[3,]    5 6.403124 13.00000

or if you want exactly what your for loops would produce

> as.vector(t(ret))
[1]  1.000000  4.123106 12.041595  3.000000  5.000000 12.369317  5.000000
[8]  6.403124 13.000000

Answer 3

It's fairly easy to do with do.call and expand.grid :

x <- seq(0,10, length.out=10)
> y <- seq(-1,1, length.out=5)
> d1 <- expand.grid(x=x, y=y)  
> do.call("*", d1)
 [1]   0.0000000  -1.1111111  -2.2222222  -3.3333333  -4.4444444
 [6]  -5.5555556  -6.6666667  -7.7777778  -8.8888889 -10.0000000
[11]   0.0000000  -0.5555556  -1.1111111  -1.6666667  -2.2222222
[16]  -2.7777778  -3.3333333  -3.8888889  -4.4444444  -5.0000000
[21]   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
[26]   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
[31]   0.0000000   0.5555556   1.1111111   1.6666667   2.2222222
[36]   2.7777778   3.3333333   3.8888889   4.4444444   5.0000000
[41]   0.0000000   1.1111111   2.2222222   3.3333333   4.4444444
[46]   5.5555556   6.6666667   7.7777778   8.8888889  10.0000000