Wednesday 14 December 2011

c programe of Lagrange's Formula


Implementatio of Lagrange’s Formula.

#include<stdio.h>
#include<math.h>
#include<conio.h>
#include<process.h>
#include<string.h>
void main()
{
  int n;
  int i,j;
  float ax[100];
  float ay[100];
  float x=0;
  float y=0;
  float nr;
  float dr;
  clrscr();
  printf("\n Enter the number of terms--");
  scanf("%d",&n);
  printf("\n\n Enter the value in the form of x-");
  for(i=0;i<n;i++)
  {
     printf("\n\n Enter the value of x%d-",i+1);
     scanf("%f",&ax[i]);
     }
     printf("\n\n Enter the value in the form of y-");
     for(i=0;i<n;i++)
     {
       printf("\n\n Enter the value of y%d-",i+1);
       scanf("%f",&ay[i]);
     }
      printf("\n\n Enter the value of x for");
      printf("\n which you want the value of y-");
      scanf("%f",&x);
      for(i=0;i<n;i++)
     {
       nr=1;
       dr=1;
       for(j=0;j<n;j++)
       {
             if(j!=1)
             {
               nr=nr*(x-ax[j]);
               dr=dr*(ax[i]-ax[j]);
               }
               y+=(nr/dr)*ay[i];
               }
               }
               printf("\n\n when x=%5.2f,y=%5.2f",x,y);
               printf("\n\n\n Press Enter to Exit");
               getch();
               }




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