# Functional Programming explained to my grandma

CCavalier

16.1K views

## Dummy example of lambda

Until now we have used a lot of functions. We specified that we want them to be pure (no side effect). We have seen that we can pass it as a parameter to other functions or use it in a return. Also, we have seen that by currying we can define precise functions that improve readability and reuse.

However, you will run into a function has no reason to be reused. In this case, we want to use it anonymously. This is what we call a lambda expression.

In this example, the operation function takes a function as a parameter and will apply it to each number from 1 to x, where x is the high limit parameter.

Let's try to use it to define three different functions:

- sum : a function to add each number from 1 to x
- sumSquare: a function to add each squared number from 1 to x
- sumPeer: a function to add the x first odd numbers

To complete these, let's use lambdas as the parameter of "operation"

Implement different sums

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package example

/**

* Created by charlotte on 13/05/17.

*/

object Lamdba {

/**

* will apply the f function to the a first integers

* @param a high limit

* @param f a function to apply

* @return the sum of the a first number where the f function has been applied

*/

def operation(a:Int)(f:(Int)=> Int): Int={

def opeAcc(acc : Int, lim: Int): Int={

if(lim == 0) acc

else opeAcc(acc + f(lim), lim -1)

}

opeAcc(0, a)

}

/**

* a function that will return the sum from 1 to a

*/

def sum(a : Int): Int = ???

/**

* a function that will return the sum of the square from 1 to a

*/

def sumSquare(a : Int): Int = ???

/**

* a function that will return the sum of the odd number from 1 to a

*/

def sumOdd(a : Int): Int = ???

}

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