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How does scoping work in R?

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If I run ls() in R, it shows the variables (including functions) in my workspace. But there are other variables visible too, e.g. functions from packages like ls itself. And if I write a function myself, all of those are still visible as well as local variables from that function, but not variables in other functions. For example,

a <- 1
f <- function() {
  b <- 2
  print(a)
  print(b)
}
g <- function() {
  print(a)
  print(b)
}
ls()
#> [1] "a" "f" "g"
f()
#> [1] 1
#> [1] 2
g()
#> [1] 1
#> Error in g(): object 'b' not found

Created on 2023-10-01 with reprex v2.0.2

What are the actual rules for scoping?

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1 answer

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Unlike some other languages, all scoping in R is dynamic. When R evaluates an expression like print(b), it looks up the function print in the current "environment", and later will look up the variable b in the same environment.

Environments

Environments are R objects that have two parts: a collection of named variables, and a parent environment. So if I want to evaluate print(b) in the environment e, R will try looking up print among the named variables in e. If that fails, it will try again in the parent of e, and so on, all the way back to the end of the chain, which is always a special environment called the "empty environment", with no variables and no parent.

You can see the names of variables in e using ls(e), and see the parent environment using parent.env(e).

Functions

Functions in R are also R objects. They have three parts: a header, a body, and an environment. Normally the environment that is attached is the environment where the function (...) ... definition was evaluated, though it is possible to change it. It is called the "function environment".

When you call a function, a new environment called the "evaluation environment" is created. It is populated with variables corresponding to the arguments in the header, and its parent is set to the function environment.

So in the example

f <- function() {
  b <- 2
  print(a)
  print(b)
}
environment(f)
f()

the function object f will be created in your workspace ("the global environment"), and will also have the global environment set as its environment. You can see this by running

environment(f)
#> <environment: R_GlobalEnv>

When you call f by running f(), a new evaluation environment will be created. Initially it won't hold any variables, because f has no arguments. Its parent will be the global environment (or whatever environment(f) happens to be at that point, if you changed it).

As you evaluate the expressions during the call f(), the first line b <- 2 will create a new variable in the evaluation environment. In the second line R will try to look up print there, but won't find it, so it will try environment(f), but probably won't find it there either, and will go to its parent next, and so on.

So that's why g() produced an error. The chain of environments from the evaluation environment of g() doesn't include the evaluation environment of f(), so it never sees the variable b.

The Global Environment

As I already mentioned, your workspace is called the global environment. You can access it as an environment object using

globalenv()
#> <environment: R_GlobalEnv>

It also has the name .GlobalEnv, so that's another way to get it:

.GlobalEnv
#> <environment: R_GlobalEnv>

So what is its parent?

You can find out using the parent.env() function:

g <- globalenv()
parent.env(g)
#> <environment: package:stats>
#> attr(,"name")
#> [1] "package:stats"
#> attr(,"path")
#> [1] "/Library/Frameworks/R.framework/Versions/4.3-x86_64/Resources/library/stats"

Created on 2023-10-01 with reprex v2.0.2

This is the environment holding the objects exported from the second entry in my search list, the stats package:

search()
#>  [1] ".GlobalEnv"        "package:stats"     "package:graphics" 
#>  [4] "package:grDevices" "package:utils"     "package:datasets" 
#>  [7] "package:methods"   "Autoloads"         "tools:callr"      
#> [10] "package:base"

Created on 2023-10-01 with reprex v2.0.2

Its parent will be the exports from the next item in the search list, etc., all the way back to the base package whose parent is the empty environment.

So when you're looking up a function like print in the middle of a function call, R will look through the whole chain of environments until it finds it. Since print is actually defined in the base package, that's the one you'll get --- unless you've defined your own print function in your workspace, or some package in the search list has done that. I don't recommend that: print is used a lot, and you'll end up in a mess if you define it to something that doesn't print things!

Functions in Functions

Since functions in R are objects, they can be defined in other functions. For example,

outer <- function() {
  a <- 1
   
  inner <- function() {
    b <- 2
    print(a)
    print(b)
  }
  inner()
}
outer()
#> [1] 1
#> [1] 2

Created on 2023-10-01 with reprex v2.0.2

In this example, inner was created during the evaluation of outer, so environment(inner) will be the evaluation environment of that call.
When it is evaluated and is looking for a, it won't find it locally, but will find it in the parent.

That's not all...

I've skipped over some important details:

  1. Functions defined in packages. In general, the same scheme is used, but when a function is created in a package, it doesn't have its environment set to globalenv(), it gets an environment specific to the package.
  2. Environments in tidyverse functions that use "tidy evaluation". Again, the same general scheme is used, but some tricks are used to set up special environments where arguments are evaluated.
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