C语言编写龙贝格积分

#include <math.h>
#include <stdio.h>

#define eps 0.0000001
#define max 20
double f(double x)
{
if(x==0)
return 1;
else
return (sin(x)/x);
}
void romberg(double a,double b)
{
double t[max][4]={0},h=1.0,e=1.0+eps;
double fnew;
int i,j,k=1,m;
t[0][0]=h*(f(a)+f(b))/2.0;
while((k<max)&&(e>eps))
{
fnew=0;
for(i=1;i<=(int)(pow(2,k-1));i++)
fnew=fnew+f(a+(i-0.5)*h);
t[k][0]=(t[k-1][0]+h*fnew)/2.0;
for(m=1;m<=k;m++)
{
if(m>3)
break;
t[k][m]=(pow(4,m)*t[k][m-1]-t[k-1][m-1])/(pow(4,m)-1);
}
if(k>=4)
e=fabs(t[k][3]-t[k-1][3]);
k++;
h=h/2.0;
}
if(k>max)
printf("method failed.\n");
else
{
printf("\tt\t\ts\t\tc\t\tr\n");
for(i=0;i<k;i++)
{