Is it possible to skip NA values in "+" operator?

Question

I want to calculate an equation in R. I don't want to use the function sum because it's returning 1 value. I want the full vector of values.

x = 1:10
y = c(21:29,NA)
x+y
 [1] 22 24 26 28 30 32 34 36 38 NA

x = 1:10
y = c(21:30)
x+y
 [1] 22 24 26 28 30 32 34 36 38 40

I don't want:

sum(x,y, na.rm = TRUE)
[1] 280

Which does not return a vector.

This is a toy example but I have a more complex equation using multiple vector of length 84647 elements.

Here is another example of what I mean:

x = 1:10
y = c(21:29,NA)
z = 11:20
a = c(NA,NA,NA,30:36)
5 +2*(x+y-50)/(x+y+z+a) 
 [1]       NA       NA       NA 4.388889 4.473684 4.550000 4.619048 4.681818 4.739130       NA

Answer 1

1) %+% Define a custom + operator:

`%+%` <- function(x, y)  mapply(sum, x, y, MoreArgs = list(na.rm = TRUE))
5 + 2 * (x %+% y - 50) / (x %+% y %+% z %+% a)

giving:

[1] 3.303030 3.555556 3.769231 4.388889 4.473684 4.550000 4.619048 4.681818
[9] 4.739130 3.787879

Here are some simple examples:

1 %+% 2
## [1] 3

NA %+% 2
## [1] 2

2 %+% NA
## [1] 2

NA %+% NA
## [1] 0

2) na2zero Another possibility is to define a function which maps NA to 0 like this:

na2zero <- function(x) ifelse(is.na(x), 0, x)

X <- na2zero(x)
Y <- na2zero(y)
Z <- na2zero(z)
A <- na2zero(a)

5 + 2 * (X + Y - 50) / (X + Y + Z + A)

giving:

[1] 3.303030 3.555556 3.769231 4.388889 4.473684 4.550000 4.619048 4.681818
[9] 4.739130 3.787879

3) combine above A variation combining (1) with the idea in (2) is:

X <- x %+% 0
Y <- y %+% 0
Z <- z %+% 0
A <- a %+% 0

5 + 2 * (X + Y - 50) / (X + Y + Z + A)

4) numeric0 class We can define a custom class "numeric0" with its own + operator:

as.numeric0 <- function(x) structure(x, class = "numeric0")
`+.numeric0` <- `%+%`

X <- as.numeric0(x)
Y <- as.numeric0(y)
Z <- as.numeric0(z)
A <- as.numeric0(a)

5 + 2 * (X + Y - 50) / (X + Y + Z + A)

Note: The inputs used were those in the question, namely:

x = 1:10
y = c(21:29,NA)
z = 11:20
a = c(NA,NA,NA,30:36)