Functions are the first-class citizens of R. In other words, you can pass a function as the input to an other function. In previous recipes, we illustrated how to create a named function. However, we can also create a function without a name, known as closure (that is, an anonymous function). In this recipe, we will show you how to use closure in a standard function.

Ensure that you completed the previous recipes by installing R on your operating system.

Perform the following steps to create a closure in function:

First, let's review how a named function works:

**>addnum<- function(a,b){****+ a + b****+ }****>addnum(2,3)****[1] 5**Now, let's perform the same task to sum up two variables with closure:

**> (function(a,b){****+ a + b****+ })(2,3)****[1] 5**We can also invoke a closure function within another function:

**>maxval<- function(a,b){****+ (function(a,b){****+ return(max(a,b))****+ }****+ )(a, b)****+ }****>maxval(c(1,10,5),c(2,11))****[1] 11**In a similar manner to the apply family function, you can use the vectorization calculation:

**> x <- c(1,10,100)****> y <- c(2,4,6)****> z <- c(30,60,90)****> a <- list(x,y,z)****>lapply(a, function(e){e[1] * 10})****[[1]]****[1] 10****[[2]]****[1] 20****[[3]]****[1] 300**Finally, we can add functions into a list and apply the function to a given vector:

**> x <- c(1,10,100)****>func<- list(min1 = function(e){min(e)},****max1 = function(e){max(e)} )****>func$min1(x)****[1] 1****>lapply(func, function(f){f(x)})****$min1****[1] 1****$max1****[1] 100**

In R, you do not have to create a function with the actual name. Instead, you can use closure to integrate methods within objects. Thus, you can create a smaller and simpler function within another object to accomplish complicated tasks.

In our first example, we illustrated how a normally-named function is created. We can simply invoke the function by passing values into the function. On the other hand, we demonstrate how closure works in our second example. In this case, we do not need to assign a name to the function, but we can still pass the value to the anonymous function and obtain the return value.

Next, we demonstrate how to add a closure within a `maxval`

named function. This function simply returns the maximum value of two passed parameters. However, it is possible to use closure within any other function. Moreover, we can use closure as an argument in higher order functions, such as `lapply`

and `sapply`

. Here, we can input an anonymous function as a function argument to return the multiplication of 10 and the first value of any vector within a given list.

Furthermore, we can specify a single function, or we can store functions in a list. Therefore, when we want to apply multiple functions to a given vector, we can pass the function calls as an argument list to the `lapply`

function.

Besides using closure within a `lapply`

function, we can also pass a closure to other functions of the apply function family. Here, we demonstrate how we can pass the same closure to the `sapply`

function:

> x <- c(1,10,100)> y <- c(2,4,6)> z <- c(30,60,90)> a <- list(x,y,z)>sapply(a, function(e){e[1] * 10})[1] 10 20 300