Creating a function in Ocaml that takes a derivative of a list of integers. Show

Question

Creating a function in Ocaml that takes a derivative of a list of integers. Shown below is the actual question given:

list_deriv : int list -> int list: the list_deriv function takes the "derivative" of a list of integers by taking n integers ad returning the list of n-1 differences between the consecutive integers, so list_deriv [ 0; 8; 14; 3 ] evaluates to [8; 6; -11] and list_deriv [ 0; 1; 1; 2; 3; 5; 8 ] evaluates to [1; 0; 1; 1; 2; 3]. You might find it cleanest to use a nested helper function to deal with the core logic while an outer match takes care of the two special cases that could arise.

Explanation / Answer

import java.util.ArrayList;

import java.util.List;

import java.util.Scanner;

//Class ListDerivation definition

public class ListDerivation

{

//Method to accept integer data and add it to the list

List acceptData(List<Integer> l)

{

//Creates Scanner class object

Scanner sc = new Scanner(System.in);

//Creates a list of type integer

List<Integer> result = new ArrayList<Integer>();

//Accepts the size of the list

System.out.println(" Enter the size of the list: ");

int no = sc.nextInt();

//Accepts numbers for the list

System.out.printf(" Enter %d numbers: ", no);

//Loops till size

for(int counter = 0; counter < no; counter++)

//Accept an integer data form console and add it to list

result.add(sc.nextInt());

//Returns the result list

return result;

}//End of method

//Returning the list of n-1 differences between the consecutive integers

List list_deriv(List<Integer> l)

{

//Creates a list of type integer

List<Integer> result = new ArrayList<Integer>();

//Loops till size minus one

for(int counter = 0; counter < l.size()-1; counter++)

{

//Extracts next counter position and current position from the list

//Subtracts current position valur from the next positioin value

//Adds the result to the list

result.add((l.get(counter+1) - l.get(counter)));

}//End of for loop

//Returns the result list

return result;

}//End of method

//Main method definition

public static void main(String[] args)

{

//Creates a list of type integer

List<Integer> list = new ArrayList<Integer>();

List<Integer> res;

//Creates ListDerivation class object

ListDerivation ld = new ListDerivation();

//Calls the method to add number to the list

res = ld.acceptData(list);

System.out.println("Before: " + res);

//Calculates the difference

res = ld.list_deriv(res);

//Displays the result

System.out.println("After: " + res);

}//End of main method

}//End of class

Sample Run 1:

Enter the size of the list: 7

Enter 7 numbers:

0
1
1
2
3
5
8
Before: [0, 1, 1, 2, 3, 5, 8]
After: [1, 0, 1, 1, 2, 3]

Sample Run 2:

Enter the size of the list: 4

Enter 4 numbers:

0
8
14
3
Before: [0, 8, 14, 3]
After: [8, 6, -11]

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