newton-raph func pointer in C - c

Question

I am trying to implement the Newton-Raphson method using a single function pointer. The function must contain both the equation and its derivative. I am having difficulty passing through these two separate functions within the test function.
#include<stdio.h>
#include<stdlib.h>
#include<math.h>
#include<string.h>
double NR(double, double(*)(double, double*), double);
void test_function( double x, double * f, double * f_prime )
{
*f = (x-2) * (x-2);
*f_prime = 2*x - 4;
}
double NR( double x0, double (*test_function)(double x, double *f, double *f_prime), double precision )
{
int i;
while(!isnan(x0)){
i = x0;
x0 = (x0 - (test_function(x0, f, 0)/test_function(x0, 0, f_prime)));
if(!isnan(x0))
printf("%f\n",x0);
if ( i - x0 < 0 )
printf("NO ROOT FOUND");
return -1;
else if ( i - x0 > 0 && i - x0 < precision )
break;
}
}
int main(void)
{
double x0 = 300;
double precision = .0000001;
double root = NR( x0, test_function, precision);
printf("%f\n",root);
return 0;
}
Thank you

Answer 1

Update declaration of NR to take function pointer that takes 3 parameters as
double NR(double, double(*)(double, double*, double *), double);
instead of
double NR(double, double(*)(double, double*), double);
As you are passing 0 (or NULL) to either prime or f_prime, you can update test function as
void test_function( double x, double * f, double * f_prime )
{
if(f)
*f = (x-2) * (x-2);
if(f_prime)
*f_prime = 2*x - 4;
}
Also you need to update NR as below to define f and f_prime
double NR( double x0, double (*test_function)(double x, double *f, double *f_prime), double precision )
{
int i;
double f, f_prime;
...
//your code
...
//----------------------------v pass address -------------v
x0 = (x0 - (test_function(x0, &f, 0)/test_function(x0, 0, &f_prime)));
....
//your code
}