# [R] functions of functions

Rich FitzJohn rich.fitzjohn at gmail.com
Mon May 9 10:14:32 CEST 2005

```This has a fairly brutal approach to recycling, and won't warn you if
one argument's length is not a multiple of another, etc.

But seems to do the trick.

f <- function(f, y, x) {
n <- max(c(length(f), length(y)))
f <- rep(f, length.out=n)
y <- rep(y, length.out=n)
rowSums(mapply(function(f, y) (match.fun(f))(y + x), f=f, y=y))
}

x <- rnorm(20)
identical(all.equal(sin(x+0) + sin(x+1) + sin(x+2),
f("sin",0:2,x)), TRUE)
identical(all.equal(sin(x+1) + cos(x+2),
f(c("sin","cos"), 1:2,x)), TRUE)
identical(all.equal(sin(x+3) + cos(x+3) + exp(x+3),
f(c("sin","cos","exp"),3,x)), TRUE)

Cheers,
Rich

On 5/9/05, Robin Hankin <r.hankin at noc.soton.ac.uk> wrote:
> Hello Uwe
>
> thanks for this.   Unfortunately it doesn't quite do what I want:
>
> R> x <- c(0.3,0.3,0.5)
> R> f(c("sin","cos"),1:2,x)
>
> 1] 1.266795
> Warning messages:
> 1: longer object length
>         is not a multiple of shorter object length in: x + int
> 2: number of rows of result
>         is not a multiple of vector length (arg 1) in: cbind(foo, x + int)
> R>
>
> [
>
> I need
>
> R> sin(x+1) + cos(x+2)
> [1] 0.2972822 0.2972822 0.1963514
>
> ]
>
> best wishes
>
> Robin
>
>
> On May 9, 2005, at 08:34 am, Uwe Ligges wrote:
>
> > Robin Hankin wrote:
> >
> >> Hi
> >> I have an application where my difficulty boils down to not
> >> being able to define a function f() with the following properties:
> >> f("sin",0:2,x)               #returns sin(x+0) + sin(x+1) + sin(x+2)
> >> f(c("sin","cos"), 1:2,x)     #returns sin(x+1) + cos(x+2)
> >> f(c("sin","cos","exp"),3,x)  #returns sin(x+3) + cos(x+3) + exp(x+3)
> >> anyone?
> >
> > Not really nice, but hopefully works:
> >
> > f <- function(foo, int, x){
> >   # too lazy to think myself about recycling:
> >   X <- cbind(foo, x + int)
> >   # mapply-ing over both columns
> >   values <- mapply(function(foo, x) do.call(foo, list(x)),
> >        X[,1], as.integer(X[,2]))
> >   # caculating the sum:
> >   return(sum(values))
> > }
> >
> >
> > Uwe
> >
> >
> >
> >
> >
> --
> Robin Hankin
> Uncertainty Analyst
> National Oceanography Centre, Southampton
> European Way, Southampton SO14 3ZH, UK
>   tel  023-8059-7743
>
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