programming-examples/java/Numerical_Problems/Java Program to Implement Horner Algorithm.java
2019-11-15 12:59:38 +01:00

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/*
This is a Java Program to Implement Horner Algorithm. Horners method is an efficient method for calculating polynomials.
*/
/**
** Java Program to implement Horner Algorithm
**/
import java.util.Scanner;
public class Horner
{
private int sum;
/** constructor **/
public Horner(int[] cof, int x)
{
sum = 0;
calcSum(cof, x, cof.length - 1);
display();
}
/** Calculate sum **/
private void calcSum(int[] cof, int x, int N)
{
sum = cof[N] * x;
for (int i = N - 1; i >= 1; i--)
sum = (sum + cof[i]) * x;
sum += cof[0];
}
public void display()
{
System.out.println("Evaluated sum = "+ sum);
}
/** main method **/
public static void main(String[] args)
{
Scanner scan = new Scanner(System.in);
System.out.println("Horner Algorithm Test\n");
System.out.println("Enter highest power");
int n = scan.nextInt();
int[] arr = new int[n + 1];
System.out.println("\nEnter "+ (n + 1) +" coefficients in increasing order");
for (int i = 0; i <= n; i++)
arr[i] = scan.nextInt();
System.out.println("\nEnter x");
int x = scan.nextInt();
Horner h = new Horner(arr, x);
}
}
/*
Enter highest power
5
Enter 6 coefficients in increasing order
1 2 3 4 5 6
Enter x
2
Evaluated sum = 321