Friday 6 February 2015

everett formula

#include<stdio.h>
#include<conio.h>
#include<math.h>
#include<process.h>
#include<string.h>
void main()
      {
            int n;
            int i,j;
            float ax[10];
            float ay[10];
            float x;
            float nr,dr;
            float y=0;
            float h;
            float p,q;
            float diff[20][20];
            float y1,y2,y3,y4;
            float py1,py2,py3,py4;
            clrscr();
            printf("\n enter the number of terms -");
            scanf("%d",&n);
            printf("\n\n enter the value in the terms 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 enter the value of x for ");
            printf("\n which you want the value of y -");
            scanf("%f",&x);
            h=ax[1]-ax[0];
            for(i=0;i<n-1;i++)
            {
            diff[i][1]=ay[i+1]-ay[i];
            }
            for(j=2;j<=4;j++)
            {
            for(i=0;i<n-j;i++)
            {
            diff[i][j]=diff[i+1][j-1]-diff[i][j-1];
            }
            }
            i=0;
            do
            {
            i++;
            }
            while(ax[i]<x);
            i--;
            p=(x-ax[i])/h;
            q=1-p;
            y1=q*(ay[i]);
            y2=q*(q*q-1)*diff[i-1][2]/6;
            y3=q*(q*q-1)*(q*q-4)*(diff[i-2][4])/120;
            py1=p*ay[i+1];
            py2=p*(p*p-1)*diff[i][2]/6;
            py3=p*(p*p-1)*(p*p-4)*(diff[i-1][4])/120;
            y=y1+y2+y3+y4+py1+py2+py3;
            printf("\n when x=%6.2f,y=%6.8f",x,y);
            printf("\n\n press enter to exit ");
            getch();

            }

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