#include <stdio.h>
 
double f (double x);
int sameSign(double x, double y);
double middleOf(double x, double y);
int isSmallNumber(double x);

/* A compact formatting - used for many programs in these notes */
double findRootBetween(double a, double b){
  double l = a, u = b;
  while (!isSmallNumber(f(middleOf(l, u)))) { 
    if(sameSign(f(middleOf(l, u)), f(u)))
      u = middleOf(l, u);
    else 
      l = middleOf(l, u);
  }
  return middleOf(l, u);
}  

int main (void){
  findRootBetween(-3.0, 5.0);
}