Write a program that implements the Lagrange interpolationscheme directly. Test

Question

Write a program that implements the Lagrange interpolationscheme directly. Test it by evaluating f(0.3) and f(0.5) from thegiven data taken from the error function with f(0)=0,f(0.4)=0.428392,
f(0.8)=0.742101, f(1.2)=0.910314, and f(1.6)=0.970348. Examine theaccuracy of the interpolation by comparing the results obtainedfrom the interpolation with the exact values f(0.3)=0.328627and f(0.5)=0.520500 please use the fortran 77/90 to write this program and I willrate as lifesaver! Write a program that implements the Lagrange interpolationscheme directly. Test it by evaluating f(0.3) and f(0.5) from thegiven data taken from the error function with f(0)=0,f(0.4)=0.428392,
f(0.8)=0.742101, f(1.2)=0.910314, and f(1.6)=0.970348. Examine theaccuracy of the interpolation by comparing the results obtainedfrom the interpolation with the exact values f(0.3)=0.328627and f(0.5)=0.520500 please use the fortran 77/90 to write this program and I willrate as lifesaver!

Explanation / Answer

please rate, thanks.. // Program for Exercise 2.2. An direct implementation of theLagrange // interpolation scheme on the data given. import java.lang.*; public class Ex2_2 { public static void main(String argv[]) {     double xi[] = {0, 0.4, 0.8, 1.2, 1.6};     double fi[] = {0, 0.428392, 0.742101, 0.910314,0.970348};     double x = 0.3;     double f = lagrange(x, xi, fi);     double df = Math.abs(f-0.328627);     System.out.println("f(0.3) = " + f + "+-" +df);     x = 0.5;     f = lagrange(x, xi, fi);     df = Math.abs(f-0.520500);     System.out.println("f(0.5) = " + f + "+-" +df); } // Method to carry out the Lagrange interpolation directly. public static double lagrange(double x, double xi[],     double fi[]) {     int n = xi.length-1;     double p[] = new double[n+1];     double f = 0;     for (int j=0; j

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