Introduction to programming with R

Creating Functions

If we only had one data set to analyze, it would probably be faster to load the file into a spreadsheet and use that to plot some simple statistics. But we have twelve files to check, and may have more in the future. In this lesson, we’ll learn how to write a function so that we can repeat several operations with a single command.

Defining a Function

Let’s start by defining a function fahr_to_kelvin that converts temperatures from Fahrenheit to Kelvin:

fahr_to_kelvin <- function(temp) {
  kelvin <- ((temp - 32) * (5 / 9)) + 273.15
  return(kelvin)
}

We define fahr_to_kelvin by assigning it to the output of function. The list of argument names are contained within parentheses. Next, the body of the function–the statements that are executed when it runs–is contained within curly braces ({}). The statements in the body are indented by two spaces, which makes the code easier to read but does not affect how the code operates.

When we call the function, the values we pass to it are assigned to those variables so that we can use them inside the function. Inside the function, we use a return statement to send a result back to whoever asked for it.

Let’s try running our function. Calling our own function is no different from calling any other function:

# freezing point of water
fahr_to_kelvin(32)

[1] 273.15

# boiling point of water
fahr_to_kelvin(212)

[1] 373.15

We’ve successfully called the function that we defined, and we have access to the value that we returned.

Composing Functions

Now that we’ve seen how to turn Fahrenheit into Kelvin, it’s easy to turn Kelvin into Celsius:

kelvin_to_celsius <- function(temp) {
  celsius <- temp - 273.15
  return(celsius)
}

#absolute zero in Celsius
kelvin_to_celsius(0)

[1] -273.15

What about converting Fahrenheit to Celsius? We could write out the formula, but we don’t need to. Instead, we can compose the two functions we have already created:

fahr_to_celsius <- function(temp) {
  temp_k <- fahr_to_kelvin(temp)
  result <- kelvin_to_celsius(temp_k)
  return(result)
}

# freezing point of water in Celsius
fahr_to_celsius(32.0)

[1] 0

This is our first taste of how larger programs are built: we define basic operations, then combine them in ever-larger chunks to get the effect we want. Real-life functions will usually be larger than the ones shown here–typically half a dozen to a few dozen lines–but they shouldn’t ever be much longer than that, or the next person who reads it won’t be able to understand what’s going on.

best_practice <- c("Write", "programs", "for", "people", "not", "computers")
asterisk <- "***"  # R interprets a variable with a single value as a vector
                   # with one element.
fence(best_practice, asterisk)

[1] "***"       "Write"     "programs"  "for"       "people"    "not"      
[7] "computers" "***"      

dry_principle <- c("Don't", "repeat", "yourself", "or", "others")
outside(dry_principle)

[1] "Don't"  "others"

input_1 = 20
mySum <- function(input_1, input_2 = 10) {
  output <- input_1 + input_2
  return(output)
}

Testing and Documenting

Once we start putting things in functions so that we can re-use them, we need to start testing that those functions are working correctly. To see how to do this, let’s write a function to center a dataset around a particular value:

center <- function(data, desired) {
  new_data <- (data - mean(data)) + desired
  return(new_data)
}

We could test this on our actual data, but since we don’t know what the values ought to be, it will be hard to tell if the result was correct. Instead, let’s create a vector of 0s and then center that around 3. This will make it simple to see if our function is working as expected:

z <- c(0, 0, 0, 0)
z

[1] 0 0 0 0

center(z, 3)

[1] 3 3 3 3

That looks right, so let’s try center on our real data. We’ll center the inflammation data from day 4 around 0:

dat <- read.csv(file = "data/inflammation-01.csv", header = FALSE)
centered <- center(dat[, 4], 0)
head(centered)

[1]  1.25 -0.75  1.25 -1.75  1.25  0.25

It’s hard to tell from the default output whether the result is correct, but there are a few simple tests that will reassure us:

# original min
min(dat[, 4])

[1] 0

# original mean
mean(dat[, 4])

[1] 1.75

# original max
max(dat[, 4])

[1] 3

# centered min
min(centered)

[1] -1.75

# centered mean
mean(centered)

[1] 0

# centered max
max(centered)

[1] 1.25

That seems almost right: the original mean was about 1.75, so the lower bound from zero is now about -1.75. The mean of the centered data is 0. We can even go further and check that the standard deviation hasn’t changed:

# original standard deviation
sd(dat[, 4])

[1] 1.067628

# centered standard deviation
sd(centered)

[1] 1.067628

Those values look the same, but we probably wouldn’t notice if they were different in the sixth decimal place. Let’s do this instead:

# difference in standard deviations before and after
sd(dat[, 4]) - sd(centered)

[1] 0

Sometimes, a very small difference can be detected due to rounding at very low decimal places. R has a useful function for comparing two objects allowing for rounding errors, all.equal:

all.equal(sd(dat[, 4]), sd(centered))

[1] TRUE

It’s still possible that our function is wrong, but it seems unlikely enough that we should probably get back to doing our analysis. We have one more task first, though: we should write some documentation for our function to remind ourselves later what it’s for and how to use it.

A common way to put documentation in software is to add comments like this:

center <- function(data, desired) {
  # return a new vector containing the original data centered around the
  # desired value.
  # Example: center(c(1, 2, 3), 0) => c(-1, 0, 1)
  new_data <- (data - mean(data)) + desired
  return(new_data)
}

Defining Defaults

We have passed arguments to functions in two ways: directly, as in dim(dat), and by name, as in read.csv(file = "data/inflammation-01.csv", header = FALSE). In fact, we can pass the arguments to read.csv without naming them:

dat <- read.csv("data/inflammation-01.csv", FALSE)

However, the position of the arguments matters if they are not named.

dat <- read.csv(header = FALSE, file = "data/inflammation-01.csv")
dat <- read.csv(FALSE, "data/inflammation-01.csv")

Error in read.table(file = file, header = header, sep = sep, quote = quote, : 'file' must be a character string or connection

To understand what’s going on, and make our own functions easier to use, let’s re-define our center function like this:

center <- function(data, desired = 0) {
  # return a new vector containing the original data centered around the
  # desired value (0 by default).
  # Example: center(c(1, 2, 3), 0) => c(-1, 0, 1)
  new_data <- (data - mean(data)) + desired
  return(new_data)
}

The key change is that the second argument is now written desired = 0 instead of just desired. If we call the function with two arguments, it works as it did before:

test_data <- c(0, 0, 0, 0)
center(test_data, 3)

[1] 3 3 3 3

But we can also now call center() with just one argument, in which case desired is automatically assigned the default value of 0:

more_data <- 5 + test_data
more_data

[1] 5 5 5 5

center(more_data)

[1] 0 0 0 0

This is handy: if we usually want a function to work one way, but occasionally need it to do something else, we can allow people to pass an argument when they need to but provide a default to make the normal case easier.

The example below shows how R matches values to arguments

display <- function(a = 1, b = 2, c = 3) {
  result <- c(a, b, c)
  names(result) <- c("a", "b", "c")  # This names each element of the vector
  return(result)
}

# no arguments
display()

a b c 
1 2 3 

# one argument
display(55)

 a  b  c 
55  2  3 

# two arguments
display(55, 66)

 a  b  c 
55 66  3 

# three arguments
display (55, 66, 77)

 a  b  c 
55 66 77 

As this example shows, arguments are matched from left to right, and any that haven’t been given a value explicitly get their default value. We can override this behavior by naming the value as we pass it in:

# only setting the value of c
display(c = 77)

 a  b  c 
 1  2 77 

With that in hand, let’s look at the help for read.csv():

?read.csv

There’s a lot of information there, but the most important part is the first couple of lines:

read.csv(file, header = TRUE, sep = ",", quote = "\"",
         dec = ".", fill = TRUE, comment.char = "", ...)

This tells us that read.csv() has one argument, file, that doesn’t have a default value, and six others that do. Now we understand why the following gives an error:

dat <- read.csv(FALSE, "data/inflammation-01.csv")

Error in read.table(file = file, header = header, sep = sep, quote = quote, : 'file' must be a character string or connection

It fails because FALSE is assigned to file and the filename is assigned to the argument header.