R - Functions

A function is a set of statements organized together to perform a specific task. R has a large number of in-built functions and the user can create their own functions.

In R, a function is an object so the R interpreter is able to pass control to the function, along with arguments that may be necessary for the function to accomplish the actions.

The function in turn performs its task and returns control to the interpreter as well as any result which may be stored in other objects.

Function Definition

An R function is created by using the keyword function. The basic syntax of an R function definition is as follows −

library(dplyr)
## 
## Attaching package: 'dplyr'
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union
#function_name <- function(arg_1, arg_2, ...) {
#   Function body 
#}

Function Components

The different parts of a function are −

1. Function Name − This is the actual name of the function. It is stored in R environment as an object with this name.

2. Arguments − An argument is a placeholder. When a function is invoked, you pass a value to the argument. Arguments are optional; that is, a function may contain no arguments. Also arguments can have default values.

3. Function Body − The function body contains a collection of statements that defines what the function does.

4. Return Value − The return value of a function is the last expression in the function body to be evaluated.

R has many in-built functions which can be directly called in the program without defining them first. We can also create and use our own functions referred as user defined functions.

Built-in Function

Simple examples of in-built functions are seq(), mean(), max(), sum(x) and paste(…) etc. They are directly called by user written programs. You can refer most widely used R functions.

# Create a sequence of numbers from 32 to 44.
print(seq(32,44))
##  [1] 32 33 34 35 36 37 38 39 40 41 42 43 44
# Find mean of numbers from 25 to 82.
print(mean(25:82))
## [1] 53.5
# Find sum of numbers frm 41 to 68.
print(sum(41:68))
## [1] 1526

When we execute the above code, it produces the result show up next to chunk−

User-defined Function

We can create user-defined functions in R. They are specific to what a user wants and once created they can be used like the built-in functions. Below is an example of how a function is created and used.

# Create a function to print squares of numbers in sequence.
new.function <- function(a) {
   for(i in 1:a) {
      b <- i^2
      print(b)
   }
}   

Calling a Function

# Create a function to print squares of numbers in sequence.
new.function <- function(a) {
   for(i in 1:a) {
      b <- i^2
      print(b)
   }
}

# Call the function new.function supplying 6 as an argument.
new.function(6)
## [1] 1
## [1] 4
## [1] 9
## [1] 16
## [1] 25
## [1] 36

When we execute the above code, it produces the following result next to chunk−

Calling a Function without an Argument

# Create a function without an argument.
new.function <- function() {
   for(i in 1:5) {
      print(i^2)
   }
}   

# Call the function without supplying an argument.
new.function()
## [1] 1
## [1] 4
## [1] 9
## [1] 16
## [1] 25

When we execute the above code, it produces the following result next to chunk−

Calling a Function with Argument Values (by position and by name)

The arguments to a function call can be supplied in the same sequence as defined in the function or they can be supplied in a different sequence but assigned to the names of the arguments.

# Create a function with arguments.
new.function <- function(a,b,c) {
   result <- a * b + c
   print(result)
}

# Call the function by position of arguments.
new.function(5,3,11)
## [1] 26
# Call the function by names of the arguments.
new.function(a = 11, b = 5, c = 3)
## [1] 58

When we execute the above code, it produces the following result next to chunk−

Calling a Function with Default Argument

We can define the value of the arguments in the function definition and call the function without supplying any argument to get the default result. But we can also call such functions by supplying new values of the argument and get non default result.

# Create a function with arguments.
new.function <- function(a = 3, b = 6) {
   result <- a * b
   print(result)
}

# Call the function without giving any argument.
new.function()
## [1] 18
# Call the function with giving new values of the argument.
new.function(9,5)
## [1] 45

When we execute the above code, it produces the following result next to chunk−

Lazy Evaluation of Function

Arguments to functions are evaluated lazily, which means so they are evaluated only when needed by the function body.

# Create a function with arguments.
new.function <- function(a, b) {
   print(a^2)
   print(a)
   print(b)
}

# Evaluate the function without supplying one of the arguments.
#new.function(6)

When we execute the above code, it produces the following result next to chunk, and give an error result for not default value given −

R Functions ..

A function is a block of code which only runs when it is called.

You can pass data, known as parameters, into a function.

A function can return data as a result.

Creating a Function

To create a function, use the function() keyword:

** Example**

my_function <- function() { # create a function with the name my_function
  print("Hello World!")
}

Call a Function

To call a function, use the function name followed by parenthesis, like my_function():

Example

my_function <- function() {
  print("Hello World!")
}

my_function() # call the function named my_function
## [1] "Hello World!"

Arguments

Information can be passed into functions as arguments.

Arguments are specified after the function name, inside the parentheses. You can add as many arguments as you want, just separate them with a comma.

The following example has a function with one argument (fname). When the function is called, we pass along a first name, which is used inside the function to print the full name:

Example

my_function <- function(fname) {
  paste(fname, "Griffin")
}

my_function("Peter")
## [1] "Peter Griffin"
my_function("Lois")
## [1] "Lois Griffin"
my_function("Stewie")
## [1] "Stewie Griffin"

Parameters or Arguments?

The terms “parameter” and “argument” can be used for the same thing: information that are passed into a function.

From a function’s perspective:

A parameter is the variable listed inside the parentheses in the function definition.

An argument is the value that is sent to the function when it is called.

** Number of Arguments**

By default, a function must be called with the correct number of arguments. Meaning that if your function expects 2 arguments, you have to call the function with 2 arguments, not more, and not less:

Example

This function expects 2 arguments, and gets 2 arguments:

my_function <- function(fname, lname) {
  paste(fname, lname)
}

my_function("Peter", "Griffin")
## [1] "Peter Griffin"

If you try to call the function with 1 or 3 arguments, you will get an error:

Example

This function expects 2 arguments, and gets 1 argument:

my_function <- function(fname, lname) {
  paste(fname, lname)
}

#my_function("Peter")

Default Parameter Value

The following example shows how to use a default parameter value.

If we call the function without an argument, it uses the default value:

Example

my_function <- function(country = "Norway") {
  paste("I am from", country)
}

my_function("Sweden")
## [1] "I am from Sweden"
my_function("India")
## [1] "I am from India"
my_function() # will get the default value, which is Norway
## [1] "I am from Norway"
my_function("USA")
## [1] "I am from USA"

Return Values

To let a function return a result, use the return() function:

Example

my_function <- function(x) {
  return (5 * x)
}

print(my_function(3))
## [1] 15
print(my_function(5))
## [1] 25
print(my_function(9))
## [1] 45

The output of the code above will be the shown next to chunk:

Nested Functions

There are two ways to create a nested function:

- Call a function within another function.

- Write a function within a function.

Example

Call a function within another function:

Nested_function <- function(x, y) {
  a <- x + y
  return(a)
}

Nested_function(Nested_function(2,2), Nested_function(3,3))
## [1] 10

Example Explained

The function tells x to add y.

The first input Nested_function(2,2) is “x” of the main function.

The second input Nested_function(3,3) is “y” of the main function.

The output is therefore (2+2) + (3+3) = 10.

Example

Write a function within a function:

Outer_func <- function(x) {
  Inner_func <- function(y) {
    a <- x + y
    return(a)
  }
  return (Inner_func)
}
output <- Outer_func(3) # To call the Outer_func
output(5)
## [1] 8

Example Explained

You cannot directly call the function because the Inner_func has been defined (nested) inside the Outer_func.

We need to call Outer_func first in order to call Inner_func as a second step.

We need to create a new variable called output and give it a value, which is 3 here.

We then print the output with the desired value of “y”, which in this case is 5.

The output is therefore 8 (3 + 5).

Recursion

R also accepts function recursion, which means a defined function can call itself.

Recursion is a common mathematical and programming concept. It means that a function calls itself. This has the benefit of meaning that you can loop through data to reach a result.

The developer should be very careful with recursion as it can be quite easy to slip into writing a function which never terminates, or one that uses excess amounts of memory or processor power. However, when written correctly, recursion can be a very efficient and mathematically-elegant approach to programming.

In this example, tri_recursion() is a function that we have defined to call itself (“recurse”). We use the k variable as the data, which decrements (-1) every time we recurse. The recursion ends when the condition is not greater than 0 (i.e. when it is 0).

To a new developer it can take some time to work out how exactly this works, best way to find out is by testing and modifying it.

Example

tri_recursion <- function(k) {
  if (k > 0) {
    result <- k + tri_recursion(k - 1)
    print(result)
  } else {
    result = 0
    return(result)
  }
}
tri_recursion(6)
## [1] 1
## [1] 3
## [1] 6
## [1] 10
## [1] 15
## [1] 21

19. R Functions…

19.1 Introduction

One of the best ways to improve your reach as a data scientist is to write functions. Functions allow you to automate common tasks in a more powerful and general way than copy-and-pasting. Writing a function has three big advantages over using copy-and-paste:

1. You can give a function an evocative name that makes your code easier to understand.

2. As requirements change, you only need to update code in one place, instead of many.

3. You eliminate the chance of making incidental mistakes when you copy and paste (i.e. updating a variable name in one place, but not in another).

Writing good functions is a lifetime journey. Even after using R for many years I still learn new techniques and better ways of approaching old problems. The goal of this chapter is not to teach you every esoteric detail of functions but to get you started with some pragmatic advice that you can apply immediately.

As well as practical advice for writing functions, this chapter also gives you some suggestions for how to style your code. Good code style is like correct punctuation. Youcanmanagewithoutit, but it sure makes things easier to read! As with styles of punctuation, there are many possible variations. Here we present the style we use in our code, but the most important thing is to be consistent.

19.1.1 Prerequisites

The focus of this chapter is on writing functions in base R, so you won’t need any extra packages.

19.2 When should you write a function?

You should consider writing a function whenever you’ve copied and pasted a block of code more than twice (i.e. you now have three copies of the same code). For example, take a look at this code. What does it do?

df <- tibble::tibble(
  a = rnorm(10),
  b = rnorm(10),
  c = rnorm(10),
  d = rnorm(10)
)

df$a <- (df$a - min(df$a, na.rm = TRUE)) / 
  (max(df$a, na.rm = TRUE) - min(df$a, na.rm = TRUE))
df$b <- (df$b - min(df$b, na.rm = TRUE)) / 
  (max(df$b, na.rm = TRUE) - min(df$a, na.rm = TRUE))
df$c <- (df$c - min(df$c, na.rm = TRUE)) / 
  (max(df$c, na.rm = TRUE) - min(df$c, na.rm = TRUE))
df$d <- (df$d - min(df$d, na.rm = TRUE)) / 
  (max(df$d, na.rm = TRUE) - min(df$d, na.rm = TRUE))

You might be able to puzzle out that this rescales each column to have a range from 0 to 1. But did you spot the mistake? I made an error when copying-and-pasting the code for df$b: I forgot to change an a to a b. Extracting repeated code out into a function is a good idea because it prevents you from making this type of mistake.

To write a function you need to first analyse the code. How many inputs does it have?

(df$a - min(df$a, na.rm = TRUE)) /
  (max(df$a, na.rm = TRUE) - min(df$a, na.rm = TRUE))
##  [1] 0.3331202 0.2554806 0.5560026 0.4972072 0.9374437 0.7440388 0.5335841
##  [8] 0.5296189 0.0000000 1.0000000

This code only has one input: df$a. (If you’re surprised that TRUE is not an input, you can explore why in the exercise below.) To make the inputs more clear, it’s a good idea to rewrite the code using temporary variables with general names. Here this code only requires a single numeric vector, so I’ll call it x:

x <- df$a
(x - min(x, na.rm = TRUE)) / (max(x, na.rm = TRUE) - min(x, na.rm = TRUE))
##  [1] 0.3331202 0.2554806 0.5560026 0.4972072 0.9374437 0.7440388 0.5335841
##  [8] 0.5296189 0.0000000 1.0000000

There is some duplication in this code. We’re computing the range of the data three times, so it makes sense to do it in one step:

rng <- range(x, na.rm = TRUE)
(x - rng[1]) / (rng[2] - rng[1])
##  [1] 0.3331202 0.2554806 0.5560026 0.4972072 0.9374437 0.7440388 0.5335841
##  [8] 0.5296189 0.0000000 1.0000000

Pulling out intermediate calculations into named variables is a good practice because it makes it more clear what the code is doing. Now that I’ve simplified the code, and checked that it still works, I can turn it into a function:

rescale01 <- function(x) {
  rng <- range(x, na.rm = TRUE)
  (x - rng[1]) / (rng[2] - rng[1])
}
rescale01(c(0, 5, 10))
## [1] 0.0 0.5 1.0

There are three key steps to creating a new function:

1. You need to pick a name for the function. Here I’ve used rescale01 because this function rescales a vector to lie between 0 and 1.

2. You list the inputs, or arguments, to the function inside function. Here we have just one argument. If we had more the call would look like function(x, y, z).

3. You place the code you have developed in body of the function, a { block that immediately follows function(…).

Note the overall process: I only made the function after I’d figured out how to make it work with a simple input. It’s easier to start with working code and turn it into a function; it’s harder to create a function and then try to make it work.

At this point it’s a good idea to check your function with a few different inputs:

rescale01(c(-10, 0, 10))
## [1] 0.0 0.5 1.0
rescale01(c(1, 2, 3, NA, 5))
## [1] 0.00 0.25 0.50   NA 1.00

As you write more and more functions you’ll eventually want to convert these informal, interactive tests into formal, automated tests. That process is called unit testing. Unfortunately, it’s beyond the scope of this book, but you can learn about it in http://r-pkgs.had.co.nz/tests.html.

We can simplify the original example now that we have a function:

df$a <- rescale01(df$a)
df$b <- rescale01(df$b)
df$c <- rescale01(df$c)
df$d <- rescale01(df$d)

Compared to the original, this code is easier to understand and we’ve eliminated one class of copy-and-paste errors. There is still quite a bit of duplication since we’re doing the same thing to multiple columns. We’ll learn how to eliminate that duplication in iteration, once you’ve learned more about R’s data structures in vectors.

Another advantage of functions is that if our requirements change, we only need to make the change in one place. For example, we might discover that some of our variables include infinite values, and rescale01() fails:

x <- c(1:10, Inf)
rescale01(x)
##  [1]   0   0   0   0   0   0   0   0   0   0 NaN

Because we’ve extracted the code into a function, we only need to make the fix in one place:

rescale01 <- function(x) {
  rng <- range(x, na.rm = TRUE, finite = TRUE)
  (x - rng[1]) / (rng[2] - rng[1])
}
rescale01(x)
##  [1] 0.0000000 0.1111111 0.2222222 0.3333333 0.4444444 0.5555556 0.6666667
##  [8] 0.7777778 0.8888889 1.0000000       Inf

This is an important part of the “do not repeat yourself” (or DRY) principle. The more repetition you have in your code, the more places you need to remember to update when things change (and they always do!), and the more likely you are to create bugs over time.

19.2.1 Exercises

1. Why is TRUE not a parameter to rescale01()? What would happen if x contained a single missing value, and na.rm was FALSE?

2. In the second variant of rescale01(), infinite values are left unchanged. Rewrite rescale01() so that -Inf is mapped to 0, and Inf is mapped to 1.

3. Practice turning the following code snippets into functions. Think about what each function does. What would you call it? How many arguments does it need? Can you rewrite it to be more expressive or less duplicative?

mean(is.na(x))
## [1] 0
x / sum(x, na.rm = TRUE)
##  [1]   0   0   0   0   0   0   0   0   0   0 NaN
sd(x, na.rm = TRUE) / mean(x, na.rm = TRUE)
## [1] NaN

4. write your own functions to compute the variance and skewness of a numeric vector. Variance is defined as

\[ \operatorname{Var}(x)=\frac{1}{n-1} \sum_{i=1}^n\left(x_i-\bar{x}\right)^2 \]

where

\[ \bar{x}=\left(\sum_i^n x_i\right) / n \]

is the sample mean. Skewness is defined as

\[ \operatorname{Skew}(x)=\frac{\frac{1}{n-2}\left(\sum_{i=1}^n\left(x_i-\bar{x}\right)^3\right)}{\operatorname{Var}(x)^{3 / 2}} . \]

5. Write both_na(), a function that takes two vectors of the same length and returns the number of positions that have an NA in both vectors.

6. What do the following functions do? Why are they useful even though they are so short?

is_directory <- function(x) file.info(x)$isdir
is_readable <- function(x) file.access(x, 4) == 0

7. Read the complete lyrics to “Little Bunny Foo Foo”. There’s a lot of duplication in this song. Extend the initial piping example to recreate the complete song, and use functions to reduce the duplication.

19.3 Functions are for humans and computers

It’s important to remember that functions are not just for the computer, but are also for humans. R doesn’t care what your function is called, or what comments it contains, but these are important for human readers. This section discusses some things that you should bear in mind when writing functions that humans can understand.

The name of a function is important. Ideally, the name of your function will be short, but clearly evoke what the function does. That’s hard! But it’s better to be clear than short, as RStudio’s autocomplete makes it easy to type long names.

Generally, function names should be verbs, and arguments should be nouns. There are some exceptions: nouns are ok if the function computes a very well known noun (i.e. mean() is better than compute_mean()), or accessing some property of an object (i.e. coef() is better than get_coefficients()). A good sign that a noun might be a better choice is if you’re using a very broad verb like “get”, “compute”, “calculate”, or “determine”. Use your best judgement and don’t be afraid to rename a function if you figure out a better name later.

# Too short
#f()

# Not a verb, or descriptive
#my_awesome_function()

# Long, but clear
#impute_missing()
#collapse_years()

If you have a family of functions that do similar things, make sure they have consistent names and arguments. Use a common prefix to indicate that they are connected. That’s better than a common suffix because autocomplete allows you to type the prefix and see all the members of the family.

# Good
#input_select()
#input_checkbox()
#input_text()

# Not so good
#select_input()
#checkbox_input()
#text_input()

A good example of this design is the stringr package: if you don’t remember exactly which function you need, you can type str_ and jog your memory.

Where possible, avoid overriding existing functions and variables. It’s impossible to do in general because so many good names are already taken by other packages, but avoiding the most common names from base R will avoid confusion.

# Don't do this!
T <- FALSE
c <- 10
mean <- function(x) sum(x)

Use comments, lines starting with #, to explain the “why” of your code. You generally should avoid comments that explain the “what” or the “how”. If you can’t understand what the code does from reading it, you should think about how to rewrite it to be more clear. Do you need to add some intermediate variables with useful names? Do you need to break out a subcomponent of a large function so you can name it? However, your code can never capture the reasoning behind your decisions: why did you choose this approach instead of an alternative? What else did you try that didn’t work? It’s a great idea to capture that sort of thinking in a comment.

Another important use of comments is to break up your file into easily readable chunks. Use long lines of - and = to make it easy to spot the breaks.

# Load data --------------------------------------

# Plot data --------------------------------------

RStudio provides a keyboard shortcut to create these headers (Cmd/Ctrl + Shift + R), and will display them in the code navigation drop-down at the bottom-left of the editor:

19.3.1 Exercises

1. Read the source code for each of the following three functions, puzzle out what they do, and then brainstorm better names.

f1 <- function(string, prefix) {
  substr(string, 1, nchar(prefix)) == prefix
}
f2 <- function(x) {
  if (length(x) <= 1) return(NULL)
  x[-length(x)]
}
f3 <- function(x, y) {
  rep(y, length.out = length(x))
}

2. Take a function that you’ve written recently and spend 5 minutes brainstorming a better name for it and its arguments.

3. Compare and contrast rnorm() and MASS::mvrnorm(). How could you make them more consistent?

4. Make a case for why norm_r(), norm_d() etc would be better than rnorm(), dnorm(). Make a case for the opposite.

19.4 Conditional execution

An if statement allows you to conditionally execute code. It looks like this:

#if (condition) {
  # code executed when condition is TRUE
#} else {
  # code executed when condition is FALSE
#}

To get help on if you need to surround it in backticks: ?if. The help isn’t particularly helpful if you’re not already an experienced programmer, but at least you know how to get to it!

Here’s a simple function that uses an if statement. The goal of this function is to return a logical vector describing whether or not each element of a vector is named.

has_name <- function(x) {
  nms <- names(x)
  if (is.null(nms)) {
    rep(FALSE, length(x))
  } else {
    !is.na(nms) & nms != ""
  }
}

This function takes advantage of the standard return rule: a function returns the last value that it computed. Here that is either one of the two branches of the if statement.

19.4.1 Conditions

The condition must evaluate to either TRUE or FALSE. If it’s a vector, you’ll get a warning message; if it’s an NA, you’ll get an error. Watch out for these messages in your own code:

#if (c(TRUE, FALSE)) {}
#> Warning in if (c(TRUE, FALSE)) {: the condition has length > 1 and only the
#> first element will be used
#> NULL

#if (NA) {}
#> Error in if (NA) {: missing value where TRUE/FALSE needed

You can use || (or) and && (and) to combine multiple logical expressions. These operators are “short-circuiting”: as soon as || sees the first TRUE it returns TRUE without computing anything else. As soon as && sees the first FALSE it returns FALSE. You should never use | or & in an if statement: these are vectorised operations that apply to multiple values (that’s why you use them in filter()). If you do have a logical vector, you can use any() or all() to collapse it to a single value.

Be careful when testing for equality. == is vectorised, which means that it’s easy to get more than one output. Either check the length is already 1, collapse with all() or any(), or use the non-vectorised identical(). identical() is very strict: it always returns either a single TRUE or a single FALSE, and doesn’t coerce types. This means that you need to be careful when comparing integers and doubles:

identical(0L, 0)
## [1] FALSE
#> [1] FALSE

You also need to be wary of floating point numbers:

x <- sqrt(2) ^ 2
x
## [1] 2
x == 2
## [1] FALSE
x - 2
## [1] 4.440892e-16

Instead use dplyr::near() for comparisons, as described in comparisons.

And remember, x == NA doesn’t do anything useful!

19.4.2 Multiple conditions

You can chain multiple if statements together:

#if (this) {
  # do that
#} else if (that) {
  # do something else
#} else {
  # 
#}

But if you end up with a very long series of chained if statements, you should consider rewriting. One useful technique is the switch() function. It allows you to evaluate selected code based on position or name.

#> function(x, y, op) {
#>   switch(op,
#>     plus = x + y,
#>     minus = x - y,
#>     times = x * y,
#>     divide = x / y,
#>     stop("Unknown op!")
#>   )
#> }

Another useful function that can often eliminate long chains of if statements is cut(). It’s used to discretise continuous variables.

19.4.3 Code style

Both if and function should (almost) always be followed by squiggly brackets ({}), and the contents should be indented by two spaces. This makes it easier to see the hierarchy in your code by skimming the left-hand margin.

An opening curly brace should never go on its own line and should always be followed by a new line. A closing curly brace should always go on its own line, unless it’s followed by else. Always indent the code inside curly braces.

# Good
#if (y < 0 && debug) {
#  message("Y is negative")
#}

#if (y == 0) {
#  log(x)
#} else {
#  y ^ x
#}

# Bad
#if (y < 0 && debug)
#message("Y is negative")

#if (y == 0) {
#  log(x)
#} 
#else {
#  y ^ x
#}

It’s ok to drop the curly braces if you have a very short if statement that can fit on one line:

y <- 10
x <- if (y < 20) "Too low" else "Too high"

I recommend this only for very brief if statements. Otherwise, the full form is easier to read:

if (y < 20) {
  x <- "Too low" 
} else {
  x <- "Too high"
}

19.4.4 Exercises

1. What’s the difference between if and ifelse()? Carefully read the help and construct three examples that illustrate the key differences.

2. Write a greeting function that says “good morning”, “good afternoon”, or “good evening”, depending on the time of day. (Hint: use a time argument that defaults to lubridate::now(). That will make it easier to test your function.)

3. Implement a fizzbuzz function. It takes a single number as input. If the number is divisible by three, it returns “fizz”. If it’s divisible by five it returns “buzz”. If it’s divisible by three and five, it returns “fizzbuzz”. Otherwise, it returns the number. Make sure you first write working code before you create the function.

4. How could you use cut() to simplify this set of nested if-else statements?

#if (temp <= 0) {
#  "freezing"
#} else if (temp <= 10) {
#  "cold"
#} else if (temp <= 20) {
#  "cool"
#} else if (temp <= 30) {
#  "warm"
#} else {
#  "hot"
#}

How would you change the call to cut() if I’d used < instead of <=? What is the other chief advantage of cut() for this problem? (Hint: what happens if you have many values in temp?)

5. What happens if you use switch() with numeric values?

6. What does this switch() call do? What happens if x is “e”?

switch(x, 
  a = ,
  b = "ab",
  c = ,
  d = "cd"
)

Experiment, then carefully read the documentation.

19.5 Function arguments

The arguments to a function typically fall into two broad sets: one set supplies the data to compute on, and the other supplies arguments that control the details of the computation. For example:

- In log(), the data is x, and the detail is the base of the logarithm.

- In mean(), the data is x, and the details are how much data to trim from the ends (trim) and how to handle missing values (na.rm).

- In ¨t.test(), the data are x and y, and the details of the test are alternative, mu, paired, var.equal, and conf.level.

- In str_c() you can supply any number of strings to , and the details of the concatenation are controlled by sep and collapse.

Generally, data arguments should come first. Detail arguments should go on the end, and usually should have default values. You specify a default value in the same way you call a function with a named argument:

# Compute confidence interval around mean using normal approximation
mean_ci <- function(x, conf = 0.95) {
  se <- sd(x) / sqrt(length(x))
  alpha <- 1 - conf
  mean(x) + se * qnorm(c(alpha / 2, 1 - alpha / 2))
}

x <- runif(100)
mean_ci(x)
## [1] 49.26167 49.37028
mean_ci(x, conf = 0.99)
## [1] 49.24461 49.38735

The default value should almost always be the most common value. The few exceptions to this rule are to do with safety. For example, it makes sense for na.rm to default to FALSE because missing values are important. Even though na.rm = TRUE is what you usually put in your code, it’s a bad idea to silently ignore missing values by default.

When you call a function, you typically omit the names of the data arguments, because they are used so commonly. If you override the default value of a detail argument, you should use the full name:

# Good
#mean(1:10, na.rm = TRUE)

# Bad
#mean(x = 1:10, , FALSE)
#mean(, TRUE, x = c(1:10, NA))

You can refer to an argument by its unique prefix (e.g. mean(x, n = TRUE)), but this is generally best avoided given the possibilities for confusion.

Notice that when you call a function, you should place a space around = in function calls, and always put a space after a comma, not before (just like in regular English). Using whitespace makes it easier to skim the function for the important components.

# Good
#average <- mean(feet / 12 + inches, na.rm = TRUE)

# Bad
#average<-mean(feet/12+inches,na.rm=TRUE)

19.5.1 Choosing names

The names of the arguments are also important. R doesn’t care, but the readers of your code (including future-you!) will. Generally you should prefer longer, more descriptive names, but there are a handful of very common, very short names. It’s worth memorising these:

- x, y, z: vectors.

- w: a vector of weights.

- df: a data frame.

- i, j: numeric indices (typically rows and columns).

- n: length, or number of rows.

- p: number of columns.

Otherwise, consider matching names of arguments in existing R functions. For example, use na.rm to determine if missing values should be removed.

19.5.2 Checking values

As you start to write more functions, you’ll eventually get to the point where you don’t remember exactly how your function works. At this point it’s easy to call your function with invalid inputs. To avoid this problem, it’s often useful to make constraints explicit. For example, imagine you’ve written some functions for computing weighted summary statistics:

wt_mean <- function(x, w) {
  sum(x * w) / sum(w)
}
wt_var <- function(x, w) {
  mu <- wt_mean(x, w)
  sum(w * (x - mu) ^ 2) / sum(w)
}
wt_sd <- function(x, w) {
  sqrt(wt_var(x, w))
}

What happens if x and w are not the same length?

wt_mean(1:6, 1:3)
## [1] 7.666667

In this case, because of R’s vector recycling rules, we don’t get an error.

It’s good practice to check important preconditions, and throw an error (with stop()), if they are not true:

wt_mean <- function(x, w) {
  if (length(x) != length(w)) {
    stop("`x` and `w` must be the same length", call. = FALSE)
  }
  sum(w * x) / sum(w)
}

Be careful not to take this too far. There’s a tradeoff between how much time you spend making your function robust, versus how long you spend writing it. For example, if you also added a na.rm argument, I probably wouldn’t check it carefully:

wt_mean <- function(x, w, na.rm = FALSE) {
  if (!is.logical(na.rm)) {
    stop("`na.rm` must be logical")
  }
  if (length(na.rm) != 1) {
    stop("`na.rm` must be length 1")
  }
  if (length(x) != length(w)) {
    stop("`x` and `w` must be the same length", call. = FALSE)
  }
  
  if (na.rm) {
    miss <- is.na(x) | is.na(w)
    x <- x[!miss]
    w <- w[!miss]
  }
  sum(w * x) / sum(w)
}

This is a lot of extra work for little additional gain. A useful compromise is the built-in stopifnot(): it checks that each argument is TRUE, and produces a generic error message if not.

wt_mean <- function(x, w, na.rm = FALSE) {
  stopifnot(is.logical(na.rm), length(na.rm) == 1)
  stopifnot(length(x) == length(w))
  
  if (na.rm) {
    miss <- is.na(x) | is.na(w)
    x <- x[!miss]
    w <- w[!miss]
  }
  sum(w * x) / sum(w)
}
#wt_mean(1:6, 6:1, na.rm = "foo")
#> Error in wt_mean(1:6, 6:1, na.rm = "foo"): is.logical(na.rm) is not TRUE

Note that when using stopifnot() you assert what should be true rather than checking for what might be wrong.

19.5.3 Dot-dot-dot (…)

Many functions in R take an arbitrary number of inputs:

sum(1, 2, 3, 4, 5, 6, 7, 8, 9, 10)
## [1] 55
stringr::str_c("a", "b", "c", "d", "e", "f")
## [1] "abcdef"

How do these functions work? They rely on a special argument: (pronounced dot-dot-dot). This special argument captures any number of arguments that aren’t otherwise matched.

It’s useful because you can then send those on to another function. This is a useful catch-all if your function primarily wraps another function. For example, I commonly create these helper functions that wrap around str_c():

commas <- function(...) stringr::str_c(..., collapse = ", ")
commas(letters[1:10])
## [1] "a, b, c, d, e, f, g, h, i, j"
rule <- function(..., pad = "-") {
  title <- paste0(...)
  width <- getOption("width") - nchar(title) - 5
  cat(title, " ", stringr::str_dup(pad, width), "\n", sep = "")
}
rule("Important output")
## Important output -----------------------------------------------------------

Here lets me forward on any arguments that I don’t want to deal with to str_c(). It’s a very convenient technique. But it does come at a price: any misspelled arguments will not raise an error. This makes it easy for typos to go unnoticed:

x <- c(1, 2)
sum(x, na.mr = TRUE)
## [1] 4

If you just want to capture the values of the , use list(…).

19.5.4 Lazy evaluation

Arguments in R are lazily evaluated: they’re not computed until they’re needed. That means if they’re never used, they’re never called. This is an important property of R as a programming language, but is generally not important when you’re writing your own functions for data analysis. You can read more about lazy evaluation at http://adv-r.had.co.nz/Functions.html#lazy-evaluation.

19.5.5 Exercises

1. What does commas(letters, collapse = “-”) do? Why?

2. It’d be nice if you could supply multiple characters to the pad argument, e.g. rule(“Title”, pad = “-+”). Why doesn’t this currently work? How could you fix it?

3. What does the trim argument to mean() do? When might you use it?

4. The default value for the method argument to cor() is c(“pearson”, “kendall”, “spearman”). What does that mean? What value is used by default?

19.6 Return values

Figuring out what your function should return is usually straightforward: it’s why you created the function in the first place! There are two things you should consider when returning a value:

1. Does returning early make your function easier to read?

2. Can you make your function pipeable?

19.6.1 Explicit return statements

The value returned by the function is usually the last statement it evaluates, but you can choose to return early by using return(). I think it’s best to save the use of return() to signal that you can return early with a simpler solution. A common reason to do this is because the inputs are empty:

complicated_function <- function(x, y, z) {
  if (length(x) == 0 || length(y) == 0) {
    return(0)
  }
    
  # Complicated code here
}

Another reason is because you have a if statement with one complex block and one simple block. For example, you might write an if statement like this:

f <- function() {
  if (x) {
    # Do 
    # something
    # that
    # takes
    # many
    # lines
    # to
    # express
  } else {
    # return something short
  }
}

But if the first block is very long, by the time you get to the else, you’ve forgotten the condition. One way to rewrite it is to use an early return for the simple case:

f <- function() {
  if (!x) {
    return(something_short)
  }

  # Do 
  # something
  # that
  # takes
  # many
  # lines
  # to
  # express
}

This tends to make the code easier to understand, because you don’t need quite so much context to understand it.

19.6.2 Writing pipeable functions

If you want to write your own pipeable functions, it’s important to think about the return value. Knowing the return value’s object type will mean that your pipeline will “just work”. For example, with dplyr and tidyr the object type is the data frame.

There are two basic types of pipeable functions: transformations and side-effects. With transformations, an object is passed to the function’s first argument and a modified object is returned. With side-effects, the passed object is not transformed. Instead, the function performs an action on the object, like drawing a plot or saving a file. Side-effects functions should “invisibly” return the first argument, so that while they’re not printed they can still be used in a pipeline. For example, this simple function prints the number of missing values in a data frame:

show_missings <- function(df) {
  n <- sum(is.na(df))
  cat("Missing values: ", n, "\n", sep = "")
  
  invisible(df)
}

If we call it interactively, the invisible() means that the input df doesn’t get printed out:

show_missings(mtcars)
## Missing values: 0

But it’s still there, it’s just not printed by default:

x <- show_missings(mtcars) 
## Missing values: 0
class(x)
## [1] "data.frame"
dim(x)
## [1] 32 11

And we can still use it in a pipe:

mtcars %>% 
  show_missings() %>% 
  mutate(mpg = ifelse(mpg < 20, NA, mpg)) %>% 
  show_missings() 
## Missing values: 0
## Missing values: 18

19.7 Environment

The last component of a function is its environment. This is not something you need to understand deeply when you first start writing functions. However, it’s important to know a little bit about environments because they are crucial to how functions work. The environment of a function controls how R finds the value associated with a name. For example, take this function:

f <- function(x) {
  x + y
} 

In many programming languages, this would be an error, because y is not defined inside the function. In R, this is valid code because R uses rules called lexical scoping to find the value associated with a name. Since y is not defined inside the function, R will look in the environment where the function was defined:

y <- 100
f(10)
## [1] 110
y <- 1000
f(10)
## [1] 1010

This behaviour seems like a recipe for bugs, and indeed you should avoid creating functions like this deliberately, but by and large it doesn’t cause too many problems (especially if you regularly restart R to get to a clean slate).

The advantage of this behaviour is that from a language standpoint it allows R to be very consistent. Every name is looked up using the same set of rules. For f() that includes the behaviour of two things that you might not expect: { and +. This allows you to do devious things like:

`+` <- function(x, y) {
  if (runif(1) < 0.1) {
    sum(x, y)
  } else {
    sum(x, y) * 1.1
  }
}
table(replicate(1000, 1 + 2))
## 
##   3 3.3 
##  97 903
rm(`+`)

This is a common phenomenon in R. R places few limits on your power. You can do many things that you can’t do in other programming languages. You can do many things that 99% of the time are extremely ill-advised (like overriding how addition works!). But this power and flexibility is what makes tools like ggplot2 and dplyr possible. Learning how to make best use of this flexibility is beyond the scope of this book, but you can read about in Advanced R.