EX1-9 牛頓差除表

ex1-9.c is for developing the divided-defference table for Newton Interpolation polynomial.

輸入TEXT
n=5
0.0  -6.0
0.1  -5.89483
0.3  -5.65014
0.6  -5.17788
1.0  -4.28172
1.1  -3.99583

輸出畫面

程式畫面 設定C語言

程式
/* ex1-9.c is for developing the divided-defference
 * table for Newton Interpolation polynomial.
 */
#include <stdio.h>
void main()
{
   int i,j,n;
   double f[40][40],x[40];
   scanf("n=%d",&n);
   for(i=0;i<=n;i++)
   {
      scanf("%lf %lf ",&x[i],&f[i][0]);
   }
   printf("\n Divided Difference Table:\n");
   printf(" =========================\n");
   for(j=1;j<=n;j++)
   {
      for(i=0;i<=n-j;i++)
      {
f[i][j]=(f[i+1][j-1]-f[i][j-1])/(x[i+j]-x[i]);
      }
   }
   printf("i   x(i)     f(i)    f(i,i+1) f(i,i+1.i+2),  ......\n");
   for(i=0;i<=n;i++)
   {
      printf("%d  %8.5lf ",i,x[i]);
      for(j=0;j<=n-i;j++)
      {
printf("%8.5lf ",f[i][j]);
      }
      printf("\n");
   }
   return;
}