Higher Order functions

Functions can be used as an arguments to other functions as we have seen in function composition. This is possible because a function always evaluates to a value. This is the basis of function composition.

Higher Order functions can also return a function definition, as when that function definition is evaluated it to will return a value.

You could have a function that returns a function definition which in turn returns a function definition, but at some point this will get very confusing for the developers (yes, that means you).

Return the even numbers from 1 to 10

Generate a range of numbers from 1 to 10

Use a function that checks if a number is even and filter the range of numbers to return only the numbers that match ```eval-clojure

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(filter even? (range 1 10))

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> #### Note::Create a named function as a higher order function called `twice`
> The function twice which takes a function and value as arguments.
>
> The twice function should call the function passed as an argument on the value passed as an argument.
>
> The result should be then used as an argument to calling the function passed as an argument again.
>
> Call the twice function with an inline function which takes a number as an argument and adds it to Pi, `3.14`.
```eval-clojure
(defn twice [f]
  ,,,)

Higher order function to add a number twice

;; Our higher order function

(defn twice [function x]
  (function (function x)))

(twice
  (fn [arg]
    (* 3.14 arg))
  21)
;; => 207.0516

;; using the short syntax for a function definition

(twice #(+ 3.14 %) 21)
;; => 207.0516

Define a function that returns a function

The function should take a clojure.core function for a mathematical calculation, i.e. +, -, *, /

The returning function should take one or more arguments [& args] and use the function originally passed as an argument to reduce the data to a single value.

(defn calculation [f]
  ,,,)

Higher order function that returns a function definition

(defn calculation [f]
  (fn [& args]
    (reduce f args)))

((calculation +) 1 1 2 3 5 8 13)

;; The result of `(calculation +)` is also in a list,
;; so it will be called as a function, with the arguments 1 1 2 3 5 8 13

References

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