FORWARD DIFFERENCE TABLE

#include "stdio.h"
#include "conio.h"

int   i,j,k,loop_var=0;
int   n;
float inter;
float x[50];
float y[50];
float forward[50][50];
float result_s[50];
float final_res=0;
float s,cumm_sum=1;
float factorial(int);
float cal(void);
void  draw_table(float t[50][50]);
void main ()
{
    clrscr ();
    printf ("Forward difference Method:\n\n");
    printf ("\n-------------------------------------\n\n\n");
    printf ("Enter number of terms: ");
    scanf("%d",&n);
    clrscr ();
    for(i=0; i
    {
        printf("Enter x%d:\t",i);
        scanf("%f",&x[i]);
        printf("Enter f(x%d):\t",i);
        scanf("%f",&y[i]);
        printf("\n");
    }
    printf ("\n\n-------------------------------------\n\n\n");
    printf("\nEnter the intermediate term:\t");
    scanf("%f",&inter);
    printf("\n\nThe Estimated Value is : %f",cal ());
getch ();
}

float cal ()
{
    s = (inter-x[0]) / (x[1] - x[0]);
    loop_var = n ;
    for(i=0; i
    {
        for(j=0; j
        {
            forward[i][j] = 0;
        }
    }
    for(i=0; i
    {
        forward[i][0] = y[i+1] - y[i];
    }
    for(j=0; j<=n-1; j++)
    {
        for(i=1 ; i
        {
               forward[i-1][j+1] = forward[i][j] - forward[i-1][j] ;
        }
        loop_var--;
    }
    for(i=0; i
    {
          cumm_sum *=  (s-i);
          result_s[i] = cumm_sum;
    }
    for(i=0; i
    {
        final_res += ((forward[0][i] * result_s[i] ) / factorial(i+1));
    }
    final_res +=y[0];
    printf ("\n\n\n-------------------------------------\n\n\n");
    printf("The Forward Difference Table Is As Follows : \n\n\n");
    draw_table(forward);
    return final_res;
}

float factorial(int num)
{
    int fact = 1.0;
    while (num > 0)
    {
        fact *= num ;
        num--;
    }
    return fact;
}

void draw_table(float t[50][50])
{
    for(i=0,k=n-1; i
    {
        for(j=0; j
        {
            if (j
                printf("%f\t", t[i][j]);
        }
        printf("\n\n");
    }
    printf ("\n\n\n-------------------------------------\n\n\n");
}


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